TSTP Solution File: SWW302+1 by ConnectPP---0.2.2
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%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : SWW302+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Mar 6 09:25:48 EST 2024
% Result : Theorem 12.51s 12.68s
% Output : Proof 12.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW302+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n012.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 : Mon Mar 4 01:08:54 EST 2024
% 0.13/0.34 % CPUTime :
% 12.51/12.68 % SZS status Theorem for theBenchmark
% 12.51/12.68 % SZS output start Proof for theBenchmark
% 12.51/12.68
% 12.51/12.68 % Formula: fact_ext ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_ext-1, axiom, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_equal__triple__def ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_equal__triple__def-1, axiom, ( ( _u8 = _u10) | ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Hoare__Mirabelle_Otriple(_u6)), _u8), _u10)) )).
% 12.51/12.68 cnf(fact_equal__triple__def-2, axiom, ( ( _u9 != _u11) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Hoare__Mirabelle_Otriple(_u7)), _u9), _u11)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Rep__triple__inject ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Rep__triple__inject-1, axiom, ( ( _u17 = _u19) | ( hAPP(c_Hoare__Mirabelle_ORep__triple(_u15), _u17) != hAPP(c_Hoare__Mirabelle_ORep__triple(_u15), _u19)) )).
% 12.51/12.68 cnf(fact_Rep__triple__inject-2, axiom, ( ( _u18 != _u20) | ( hAPP(c_Hoare__Mirabelle_ORep__triple(_u16), _u18) = hAPP(c_Hoare__Mirabelle_ORep__triple(_u16), _u20)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_equal ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_equal-1, axiom, ( ~class_HOL_Oequal(_u21) | ( c_HOL_Oequal__class_Oequal(_u21) = c_fequal) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_equal__refl ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_equal__refl-1, axiom, ( ~class_HOL_Oequal(_u22) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(_u22), _u23), _u23)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_equal__eq ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_equal__eq-1, axiom, ( ~class_HOL_Oequal(_u24) | ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(_u24), _u25), _u26)) | ( _u25 = _u26) )).
% 12.51/12.68 cnf(fact_equal__eq-2, axiom, ( ~class_HOL_Oequal(_u24) | ( _u25 != _u26) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(_u24), _u25), _u26)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_eq__equal ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_eq__equal-1, axiom, ( ~class_HOL_Oequal(_u27) | ( c_fequal = c_HOL_Oequal__class_Oequal(_u27)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Rep__triple__inverse ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Rep__triple__inverse-1, axiom, ( ( hAPP(c_Hoare__Mirabelle_OAbs__triple(_u28), hAPP(c_Hoare__Mirabelle_ORep__triple(_u28), _u29)) = _u29) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Rep__triple ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Rep__triple-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u30, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u30)), tc_HOL_Obool)), hAPP(c_Hoare__Mirabelle_ORep__triple(_u30), _u31)), hAPP(c_Set_OCollect(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u30, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u30)), tc_HOL_Obool)), c_Hoare__Mirabelle_Otriple_Otriple__rep__set(_u30)))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_type__definition__triple ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_type__definition__triple-1, axiom, ( c_Typedef_Otype__definition(tc_Hoare__Mirabelle_Otriple(_u32), tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u32, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u32)), tc_HOL_Obool), c_Hoare__Mirabelle_ORep__triple(_u32), c_Hoare__Mirabelle_OAbs__triple(_u32), hAPP(c_Set_OCollect(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u32, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u32)), tc_HOL_Obool)), c_Hoare__Mirabelle_Otriple_Otriple__rep__set(_u32))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Abs__triple__inverse ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Abs__triple__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u33, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u33)), tc_HOL_Obool)), _u34), hAPP(c_Set_OCollect(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u33, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u33)), tc_HOL_Obool)), c_Hoare__Mirabelle_Otriple_Otriple__rep__set(_u33)))) | ( hAPP(c_Hoare__Mirabelle_ORep__triple(_u33), hAPP(c_Hoare__Mirabelle_OAbs__triple(_u33), _u34)) = _u34) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Abs__triple__inject ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Abs__triple__inject-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u35)), tc_HOL_Obool)), _u36), hAPP(c_Set_OCollect(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u35)), tc_HOL_Obool)), c_Hoare__Mirabelle_Otriple_Otriple__rep__set(_u35)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u35)), tc_HOL_Obool)), _u37), hAPP(c_Set_OCollect(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u35)), tc_HOL_Obool)), c_Hoare__Mirabelle_Otriple_Otriple__rep__set(_u35)))) | ( hAPP(c_Hoare__Mirabelle_OAbs__triple(_u35), _u36) != hAPP(c_Hoare__Mirabelle_OAbs__triple(_u35), _u37)) | ( _u36 = _u37) )).
% 12.51/12.68 cnf(fact_Abs__triple__inject-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u35)), tc_HOL_Obool)), _u36), hAPP(c_Set_OCollect(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u35)), tc_HOL_Obool)), c_Hoare__Mirabelle_Otriple_Otriple__rep__set(_u35)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u35)), tc_HOL_Obool)), _u37), hAPP(c_Set_OCollect(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u35)), tc_HOL_Obool)), c_Hoare__Mirabelle_Otriple_Otriple__rep__set(_u35)))) | ( _u36 != _u37) | ( hAPP(c_Hoare__Mirabelle_OAbs__triple(_u35), _u36) = hAPP(c_Hoare__Mirabelle_OAbs__triple(_u35), _u37)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_equalityCE ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_equalityCE-1, axiom, ( ( _u38 != _u39) | hBOOL(hAPP(hAPP(c_member(_u40), _u41), _u38)) | ~hBOOL(hAPP(hAPP(c_member(_u40), _u41), _u39)) )).
% 12.51/12.68 cnf(fact_equalityCE-2, axiom, ( ( _u38 != _u39) | hBOOL(hAPP(hAPP(c_member(_u40), _u41), _u39)) | ~hBOOL(hAPP(hAPP(c_member(_u40), _u41), _u38)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_type__definition_OAbs__inject ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_type__definition_OAbs__inject-1, axiom, ( ~c_Typedef_Otype__definition(_u42, _u43, _u44, _u45, _u46) | ~hBOOL(hAPP(hAPP(c_member(_u43), _u47), _u46)) | ~hBOOL(hAPP(hAPP(c_member(_u43), _u48), _u46)) | ( hAPP(_u45, _u47) != hAPP(_u45, _u48)) | ( _u47 = _u48) )).
% 12.51/12.68 cnf(fact_type__definition_OAbs__inject-2, axiom, ( ~c_Typedef_Otype__definition(_u42, _u43, _u44, _u45, _u46) | ~hBOOL(hAPP(hAPP(c_member(_u43), _u47), _u46)) | ~hBOOL(hAPP(hAPP(c_member(_u43), _u48), _u46)) | ( _u47 != _u48) | ( hAPP(_u45, _u47) = hAPP(_u45, _u48)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_type__definition_OAbs__inverse ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_type__definition_OAbs__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u50), _u54), _u53)) | ( hAPP(_u51, hAPP(_u52, _u54)) = _u54) | ~c_Typedef_Otype__definition(_u49, _u50, _u51, _u52, _u53) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_type__definition_ORep ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_type__definition_ORep-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u56), hAPP(_u57, _u60)), _u59)) | ~c_Typedef_Otype__definition(_u55, _u56, _u57, _u58, _u59) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Abs__triple__induct ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Abs__triple__induct-1, axiom, ( hBOOL(hAPP(_u63, _u64)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u62, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u62)), tc_HOL_Obool)), skolem2(_u64, _u63, _u62)), hAPP(c_Set_OCollect(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u62, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u62)), tc_HOL_Obool)), c_Hoare__Mirabelle_Otriple_Otriple__rep__set(_u62)))) )).
% 12.51/12.68 cnf(fact_Abs__triple__induct-2, axiom, ( hBOOL(hAPP(_u63, _u64)) | ~hBOOL(hAPP(_u63, hAPP(c_Hoare__Mirabelle_OAbs__triple(_u62), skolem2(_u64, _u63, _u62)))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Abs__triple__cases ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Abs__triple__cases-1, axiom, ( ( _u66 = hAPP(c_Hoare__Mirabelle_OAbs__triple(_u67), skolem3(_u67, _u66))) )).
% 12.51/12.68 cnf(fact_Abs__triple__cases-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u67, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u67)), tc_HOL_Obool)), skolem3(_u67, _u66)), hAPP(c_Set_OCollect(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u67, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u67)), tc_HOL_Obool)), c_Hoare__Mirabelle_Otriple_Otriple__rep__set(_u67)))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Rep__triple__induct ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Rep__triple__induct-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u69, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u69)), tc_HOL_Obool)), _u70), hAPP(c_Set_OCollect(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u69, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u69)), tc_HOL_Obool)), c_Hoare__Mirabelle_Otriple_Otriple__rep__set(_u69)))) | ~hBOOL(hAPP(_u71, hAPP(c_Hoare__Mirabelle_ORep__triple(_u69), skolem4(_u71, _u70, _u69)))) | hBOOL(hAPP(_u71, _u70)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Rep__triple__cases ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Rep__triple__cases-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u73, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u73)), tc_HOL_Obool)), _u74), hAPP(c_Set_OCollect(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u73, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u73)), tc_HOL_Obool)), c_Hoare__Mirabelle_Otriple_Otriple__rep__set(_u73)))) | ( _u74 = hAPP(c_Hoare__Mirabelle_ORep__triple(_u73), skolem5(_u74, _u73))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_type__definition_ORep__inject ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_type__definition_ORep__inject-1, axiom, ( ~c_Typedef_Otype__definition(_u75, _u76, _u77, _u78, _u79) | ( hAPP(_u77, _u80) != hAPP(_u77, _u81)) | ( _u80 = _u81) )).
% 12.51/12.68 cnf(fact_type__definition_ORep__inject-2, axiom, ( ~c_Typedef_Otype__definition(_u75, _u76, _u77, _u78, _u79) | ( _u80 != _u81) | ( hAPP(_u77, _u80) = hAPP(_u77, _u81)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_type__definition_ORep__inverse ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_type__definition_ORep__inverse-1, axiom, ( ( hAPP(_u85, hAPP(_u84, _u87)) = _u87) | ~c_Typedef_Otype__definition(_u82, _u83, _u84, _u85, _u86) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Collect__def ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Collect__def-1, axiom, ( ( hAPP(c_Set_OCollect(_u88), _u89) = _u89) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_eq__mem__trans ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_eq__mem__trans-1, axiom, ( ( _u90 != _u91) | ~hBOOL(hAPP(hAPP(c_member(_u92), _u91), _u93)) | hBOOL(hAPP(hAPP(c_member(_u92), _u90), _u93)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_mem__def ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_mem__def-1, axiom, ( hBOOL(hAPP(_u101, _u99)) | ~hBOOL(hAPP(hAPP(c_member(_u97), _u99), _u101)) )).
% 12.51/12.68 cnf(fact_mem__def-2, axiom, ( ~hBOOL(hAPP(_u102, _u100)) | hBOOL(hAPP(hAPP(c_member(_u98), _u100), _u102)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_eqset__imp__iff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_eqset__imp__iff-1, axiom, ( ( _u103 != _u104) | ~hBOOL(hAPP(hAPP(c_member(_u105), _u106), _u103)) | hBOOL(hAPP(hAPP(c_member(_u105), _u106), _u104)) )).
% 12.51/12.68 cnf(fact_eqset__imp__iff-2, axiom, ( ( _u103 != _u104) | ~hBOOL(hAPP(hAPP(c_member(_u105), _u106), _u104)) | hBOOL(hAPP(hAPP(c_member(_u105), _u106), _u103)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_eqelem__imp__iff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_eqelem__imp__iff-1, axiom, ( ( _u107 != _u108) | ~hBOOL(hAPP(hAPP(c_member(_u109), _u107), _u110)) | hBOOL(hAPP(hAPP(c_member(_u109), _u108), _u110)) )).
% 12.51/12.68 cnf(fact_eqelem__imp__iff-2, axiom, ( ( _u107 != _u108) | ~hBOOL(hAPP(hAPP(c_member(_u109), _u108), _u110)) | hBOOL(hAPP(hAPP(c_member(_u109), _u107), _u110)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_eq__mem ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_eq__mem-1, axiom, ( ( _u116 = _u118) | ~hBOOL(hAPP(hAPP(c_member(_u114), _u116), hAPP(c_fequal, _u118))) )).
% 12.51/12.68 cnf(fact_eq__mem-2, axiom, ( ( _u117 != _u119) | hBOOL(hAPP(hAPP(c_member(_u115), _u117), hAPP(c_fequal, _u119))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_type__definition_OAbs__cases ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_type__definition_OAbs__cases-1, axiom, ( ~c_Typedef_Otype__definition(_u121, _u122, _u123, _u124, _u125) | ( _u126 = hAPP(_u124, skolem6(_u126, _u125, _u124, _u123, _u122))) )).
% 12.51/12.68 cnf(fact_type__definition_OAbs__cases-2, axiom, ( ~c_Typedef_Otype__definition(_u121, _u122, _u123, _u124, _u125) | hBOOL(hAPP(hAPP(c_member(_u122), skolem6(_u126, _u125, _u124, _u123, _u122)), _u125)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_type__definition_OAbs__induct ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_type__definition_OAbs__induct-1, axiom, ( ~c_Typedef_Otype__definition(_u128, _u129, _u130, _u131, _u132) | hBOOL(hAPP(_u133, _u134)) | hBOOL(hAPP(hAPP(c_member(_u129), skolem7(_u134, _u133, _u132, _u131, _u130, _u129)), _u132)) )).
% 12.51/12.68 cnf(fact_type__definition_OAbs__induct-2, axiom, ( ~c_Typedef_Otype__definition(_u128, _u129, _u130, _u131, _u132) | hBOOL(hAPP(_u133, _u134)) | ~hBOOL(hAPP(_u133, hAPP(_u131, skolem7(_u134, _u133, _u132, _u131, _u130, _u129)))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_type__definition_ORep__induct ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_type__definition_ORep__induct-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u137), _u141), _u140)) | ~hBOOL(hAPP(_u142, hAPP(_u138, skolem8(_u142, _u141, _u140, _u139, _u138, _u137)))) | hBOOL(hAPP(_u142, _u141)) | ~c_Typedef_Otype__definition(_u136, _u137, _u138, _u139, _u140) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_type__definition_ORep__cases ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_type__definition_ORep__cases-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u145), _u149), _u148)) | ( _u149 = hAPP(_u146, skolem9(_u149, _u148, _u147, _u146, _u145))) | ~c_Typedef_Otype__definition(_u144, _u145, _u146, _u147, _u148) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_induct__false__def ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_induct__false__def-1, axiom, ( ~c_HOL_Oinduct__false )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_ord_OatMost__iff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_ord_OatMost__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u158, _u156), _u160)) | ~hBOOL(hAPP(hAPP(c_member(_u154), _u156), c_SetInterval_Oord_OatMost(_u154, _u158, _u160))) )).
% 12.51/12.68 cnf(fact_ord_OatMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u159, _u157), _u161)) | hBOOL(hAPP(hAPP(c_member(_u155), _u157), c_SetInterval_Oord_OatMost(_u155, _u159, _u161))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_ord_OatLeast__iff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_ord_OatLeast__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u170, _u172), _u168)) | ~hBOOL(hAPP(hAPP(c_member(_u166), _u168), c_SetInterval_Oord_OatLeast(_u166, _u170, _u172))) )).
% 12.51/12.68 cnf(fact_ord_OatLeast__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u171, _u173), _u169)) | hBOOL(hAPP(hAPP(c_member(_u167), _u169), c_SetInterval_Oord_OatLeast(_u167, _u171, _u173))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_ord_OlessThan__iff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_ord_OlessThan__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u182, _u180), _u184)) | ~hBOOL(hAPP(hAPP(c_member(_u178), _u180), c_SetInterval_Oord_OlessThan(_u178, _u182, _u184))) )).
% 12.51/12.68 cnf(fact_ord_OlessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u183, _u181), _u185)) | hBOOL(hAPP(hAPP(c_member(_u179), _u181), c_SetInterval_Oord_OlessThan(_u179, _u183, _u185))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_ord_OgreaterThan__iff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_ord_OgreaterThan__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u194, _u196), _u192)) | ~hBOOL(hAPP(hAPP(c_member(_u190), _u192), c_SetInterval_Oord_OgreaterThan(_u190, _u194, _u196))) )).
% 12.51/12.68 cnf(fact_ord_OgreaterThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u195, _u197), _u193)) | hBOOL(hAPP(hAPP(c_member(_u191), _u193), c_SetInterval_Oord_OgreaterThan(_u191, _u195, _u197))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_ord_OatLeastAtMost__iff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_ord_OatLeastAtMost__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u203), _u205), c_SetInterval_Oord_OatLeastAtMost(_u203, _u207, _u209, _u211))) | hBOOL(hAPP(hAPP(_u207, _u209), _u205)) )).
% 12.51/12.68 cnf(fact_ord_OatLeastAtMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u203), _u205), c_SetInterval_Oord_OatLeastAtMost(_u203, _u207, _u209, _u211))) | hBOOL(hAPP(hAPP(_u207, _u205), _u211)) )).
% 12.51/12.68 cnf(fact_ord_OatLeastAtMost__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u208, _u210), _u206)) | ~hBOOL(hAPP(hAPP(_u208, _u206), _u212)) | hBOOL(hAPP(hAPP(c_member(_u204), _u206), c_SetInterval_Oord_OatLeastAtMost(_u204, _u208, _u210, _u212))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_ord_OgreaterThanLessThan__iff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_ord_OgreaterThanLessThan__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u218), _u220), c_SetInterval_Oord_OgreaterThanLessThan(_u218, _u222, _u224, _u226))) | hBOOL(hAPP(hAPP(_u222, _u224), _u220)) )).
% 12.51/12.68 cnf(fact_ord_OgreaterThanLessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u218), _u220), c_SetInterval_Oord_OgreaterThanLessThan(_u218, _u222, _u224, _u226))) | hBOOL(hAPP(hAPP(_u222, _u220), _u226)) )).
% 12.51/12.68 cnf(fact_ord_OgreaterThanLessThan__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u223, _u225), _u221)) | ~hBOOL(hAPP(hAPP(_u223, _u221), _u227)) | hBOOL(hAPP(hAPP(c_member(_u219), _u221), c_SetInterval_Oord_OgreaterThanLessThan(_u219, _u223, _u225, _u227))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_ord_OgreaterThanAtMost__iff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_ord_OgreaterThanAtMost__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u234), _u236), c_SetInterval_Oord_OgreaterThanAtMost(_u234, _u238, _u240, _u242, _u244))) | hBOOL(hAPP(hAPP(_u240, _u242), _u236)) )).
% 12.51/12.68 cnf(fact_ord_OgreaterThanAtMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u234), _u236), c_SetInterval_Oord_OgreaterThanAtMost(_u234, _u238, _u240, _u242, _u244))) | hBOOL(hAPP(hAPP(_u238, _u236), _u244)) )).
% 12.51/12.68 cnf(fact_ord_OgreaterThanAtMost__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u241, _u243), _u237)) | ~hBOOL(hAPP(hAPP(_u239, _u237), _u245)) | hBOOL(hAPP(hAPP(c_member(_u235), _u237), c_SetInterval_Oord_OgreaterThanAtMost(_u235, _u239, _u241, _u243, _u245))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_ord_OatLeastLessThan__iff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_ord_OatLeastLessThan__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u252), _u254), c_SetInterval_Oord_OatLeastLessThan(_u252, _u256, _u258, _u260, _u262))) | hBOOL(hAPP(hAPP(_u256, _u260), _u254)) )).
% 12.51/12.68 cnf(fact_ord_OatLeastLessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u252), _u254), c_SetInterval_Oord_OatLeastLessThan(_u252, _u256, _u258, _u260, _u262))) | hBOOL(hAPP(hAPP(_u258, _u254), _u262)) )).
% 12.51/12.68 cnf(fact_ord_OatLeastLessThan__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u257, _u261), _u255)) | ~hBOOL(hAPP(hAPP(_u259, _u255), _u263)) | hBOOL(hAPP(hAPP(c_member(_u253), _u255), c_SetInterval_Oord_OatLeastLessThan(_u253, _u257, _u259, _u261, _u263))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_ballE ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_ballE-1, axiom, ( hBOOL(hAPP(_u267, _u268)) | ~hBOOL(hAPP(hAPP(c_member(_u265), _u268), _u266)) | hBOOL(hAPP(hAPP(c_member(_u265), skolem10(_u268, _u267, _u266, _u265)), _u266)) )).
% 12.51/12.68 cnf(fact_ballE-2, axiom, ( hBOOL(hAPP(_u267, _u268)) | ~hBOOL(hAPP(hAPP(c_member(_u265), _u268), _u266)) | ~hBOOL(hAPP(_u267, skolem10(_u268, _u267, _u266, _u265))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_bexE ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_bexE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u271), _u269), _u272)) | ~hBOOL(hAPP(_u273, _u269)) | hBOOL(hAPP(hAPP(c_member(_u271), skolem11(_u273, _u272, _u271)), _u272)) )).
% 12.51/12.68 cnf(fact_bexE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u271), _u269), _u272)) | ~hBOOL(hAPP(_u273, _u269)) | hBOOL(hAPP(_u273, skolem11(_u273, _u272, _u271))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_bexI ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_bexI-1, axiom, ( ~hBOOL(hAPP(_u275, _u276)) | ~hBOOL(hAPP(hAPP(c_member(_u277), _u276), _u278)) | hBOOL(hAPP(hAPP(c_member(_u277), skolem12(_u278, _u277, _u276, _u275)), _u278)) )).
% 12.51/12.68 cnf(fact_bexI-2, axiom, ( ~hBOOL(hAPP(_u275, _u276)) | ~hBOOL(hAPP(hAPP(c_member(_u277), _u276), _u278)) | hBOOL(hAPP(_u275, skolem12(_u278, _u277, _u276, _u275))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_InterE ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_InterE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u279), _u280), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u279, tc_HOL_Obool), _u281))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u279, tc_HOL_Obool)), _u282), _u281)) | hBOOL(hAPP(hAPP(c_member(_u279), _u280), _u282)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_InterD ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_InterD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u283), _u284), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u283, tc_HOL_Obool), _u285))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u283, tc_HOL_Obool)), _u286), _u285)) | hBOOL(hAPP(hAPP(c_member(_u283), _u284), _u286)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_UnionI ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_UnionI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u287, tc_HOL_Obool)), _u288), _u289)) | ~hBOOL(hAPP(hAPP(c_member(_u287), _u290), _u288)) | hBOOL(hAPP(hAPP(c_member(_u287), _u290), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u287, tc_HOL_Obool), _u289))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_emptyE ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_emptyE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u291), _u292), c_Orderings_Obot__class_Obot(tc_fun(_u291, tc_HOL_Obool)))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_UNIV__I ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_UNIV__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u293), _u294), c_Orderings_Otop__class_Otop(tc_fun(_u293, tc_HOL_Obool)))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_subsetD ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_subsetD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u295, tc_HOL_Obool)), _u296), _u297)) | ~hBOOL(hAPP(hAPP(c_member(_u295), _u298), _u296)) | hBOOL(hAPP(hAPP(c_member(_u295), _u298), _u297)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_equalityI ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_equalityI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u299, tc_HOL_Obool)), _u300), _u301)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u299, tc_HOL_Obool)), _u301), _u300)) | ( _u300 = _u301) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_top1I ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_top1I-1, axiom, ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u302, tc_HOL_Obool)), _u303)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_empty__subsetI ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_empty__subsetI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u304, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u304, tc_HOL_Obool))), _u305)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_predicate1D ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_predicate1D-1, axiom, ( ~hBOOL(hAPP(_u307, _u309)) | hBOOL(hAPP(_u308, _u309)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u306, tc_HOL_Obool)), _u307), _u308)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_rev__predicate1D ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_rev__predicate1D-1, axiom, ( ~hBOOL(hAPP(_u310, _u311)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u312, tc_HOL_Obool)), _u310), _u313)) | hBOOL(hAPP(_u313, _u311)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Inf__empty ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Inf__empty-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u314) | ( c_Complete__Lattice_OInf__class_OInf(_u314, c_Orderings_Obot__class_Obot(tc_fun(_u314, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u314)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Inter__empty ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Inter__empty-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u315, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u315, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u315, tc_HOL_Obool))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Inf__UNIV ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Inf__UNIV-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u316) | ( c_Complete__Lattice_OInf__class_OInf(_u316, c_Orderings_Otop__class_Otop(tc_fun(_u316, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u316)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Inter__UNIV ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Inter__UNIV-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u317, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u317, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u317, tc_HOL_Obool))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Sup__empty ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Sup__empty-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u318) | ( c_Complete__Lattice_OSup__class_OSup(_u318, c_Orderings_Obot__class_Obot(tc_fun(_u318, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u318)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Union__empty ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Union__empty-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u319, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u319, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u319, tc_HOL_Obool))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Sup__UNIV ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Sup__UNIV-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u320) | ( c_Complete__Lattice_OSup__class_OSup(_u320, c_Orderings_Otop__class_Otop(tc_fun(_u320, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u320)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Union__UNIV ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Union__UNIV-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u321, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u321, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u321, tc_HOL_Obool))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_le__Inf__iff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_le__Inf__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u324) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u324), _u325), c_Complete__Lattice_OInf__class_OInf(_u324, _u326))) | ~hBOOL(hAPP(hAPP(c_member(_u324), _u322), _u326)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u324), _u325), _u322)) )).
% 12.51/12.68 cnf(fact_le__Inf__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u324) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u324), _u325), c_Complete__Lattice_OInf__class_OInf(_u324, _u326))) | hBOOL(hAPP(hAPP(c_member(_u324), skolem13(_u326, _u325, _u324)), _u326)) )).
% 12.51/12.68 cnf(fact_le__Inf__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u324) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u324), _u325), c_Complete__Lattice_OInf__class_OInf(_u324, _u326))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u324), _u325), skolem13(_u326, _u325, _u324))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Sup__le__iff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Sup__le__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u329) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u329), c_Complete__Lattice_OSup__class_OSup(_u329, _u330)), _u331)) | ~hBOOL(hAPP(hAPP(c_member(_u329), _u327), _u330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u329), _u327), _u331)) )).
% 12.51/12.68 cnf(fact_Sup__le__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u329) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u329), c_Complete__Lattice_OSup__class_OSup(_u329, _u330)), _u331)) | hBOOL(hAPP(hAPP(c_member(_u329), skolem14(_u331, _u330, _u329)), _u330)) )).
% 12.51/12.68 cnf(fact_Sup__le__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u329) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u329), c_Complete__Lattice_OSup__class_OSup(_u329, _u330)), _u331)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u329), skolem14(_u331, _u330, _u329)), _u331)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Union__mono ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Union__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u332, tc_HOL_Obool), tc_HOL_Obool)), _u333), _u334)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u332, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u332, tc_HOL_Obool), _u333)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u332, tc_HOL_Obool), _u334))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Inter__anti__mono ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Inter__anti__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u335, tc_HOL_Obool), tc_HOL_Obool)), _u336), _u337)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u335, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u335, tc_HOL_Obool), _u337)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u335, tc_HOL_Obool), _u336))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_equalityE ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_equalityE-1, axiom, ( ( _u338 != _u339) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u340, tc_HOL_Obool)), _u338), _u339)) )).
% 12.51/12.68 cnf(fact_equalityE-2, axiom, ( ( _u338 != _u339) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u340, tc_HOL_Obool)), _u339), _u338)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_subset__trans ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_subset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u341, tc_HOL_Obool)), _u342), _u343)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u341, tc_HOL_Obool)), _u343), _u344)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u341, tc_HOL_Obool)), _u342), _u344)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_equalityD2 ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_equalityD2-1, axiom, ( ( _u345 != _u346) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u347, tc_HOL_Obool)), _u346), _u345)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_equalityD1 ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_equalityD1-1, axiom, ( ( _u348 != _u349) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u350, tc_HOL_Obool)), _u348), _u349)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_set__eq__subset ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_set__eq__subset-1, axiom, ( ( _u354 != _u356) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u358, tc_HOL_Obool)), _u354), _u356)) )).
% 12.51/12.68 cnf(fact_set__eq__subset-2, axiom, ( ( _u354 != _u356) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u358, tc_HOL_Obool)), _u356), _u354)) )).
% 12.51/12.68 cnf(fact_set__eq__subset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u359, tc_HOL_Obool)), _u355), _u357)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u359, tc_HOL_Obool)), _u357), _u355)) | ( _u355 = _u357) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_subset__empty ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_subset__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u362, tc_HOL_Obool)), _u364), c_Orderings_Obot__class_Obot(tc_fun(_u362, tc_HOL_Obool)))) | ( _u364 = c_Orderings_Obot__class_Obot(tc_fun(_u362, tc_HOL_Obool))) )).
% 12.51/12.68 cnf(fact_subset__empty-2, axiom, ( ( _u365 != c_Orderings_Obot__class_Obot(tc_fun(_u363, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u363, tc_HOL_Obool)), _u365), c_Orderings_Obot__class_Obot(tc_fun(_u363, tc_HOL_Obool)))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_subset__refl ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_subset__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u366, tc_HOL_Obool)), _u367), _u367)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_subset__UNIV ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_subset__UNIV-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u368, tc_HOL_Obool)), _u369), c_Orderings_Otop__class_Otop(tc_fun(_u368, tc_HOL_Obool)))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_UNIV__not__empty ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_UNIV__not__empty-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u370, tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(_u370, tc_HOL_Obool))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Union__upper ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Union__upper-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u371, tc_HOL_Obool)), _u372), _u373)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u371, tc_HOL_Obool)), _u372), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u371, tc_HOL_Obool), _u373))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Sup__upper ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Sup__upper-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u374) | ~hBOOL(hAPP(hAPP(c_member(_u374), _u375), _u376)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u374), _u375), c_Complete__Lattice_OSup__class_OSup(_u374, _u376))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Inter__lower ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Inter__lower-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u377, tc_HOL_Obool)), _u378), _u379)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u377, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u377, tc_HOL_Obool), _u379)), _u378)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Inf__lower ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Inf__lower-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u380) | ~hBOOL(hAPP(hAPP(c_member(_u380), _u381), _u382)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u380), c_Complete__Lattice_OInf__class_OInf(_u380, _u382)), _u381)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_in__mono ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_in__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u383, tc_HOL_Obool)), _u384), _u385)) | ~hBOOL(hAPP(hAPP(c_member(_u383), _u386), _u384)) | hBOOL(hAPP(hAPP(c_member(_u383), _u386), _u385)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_set__rev__mp ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_set__rev__mp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u387), _u388), _u389)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u387, tc_HOL_Obool)), _u389), _u390)) | hBOOL(hAPP(hAPP(c_member(_u387), _u388), _u390)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_set__mp ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_set__mp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u391, tc_HOL_Obool)), _u392), _u393)) | ~hBOOL(hAPP(hAPP(c_member(_u391), _u394), _u392)) | hBOOL(hAPP(hAPP(c_member(_u391), _u394), _u393)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_all__not__in__conv ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_all__not__in__conv-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u399), skolem15(_u401, _u399)), _u401)) | ( _u401 = c_Orderings_Obot__class_Obot(tc_fun(_u399, tc_HOL_Obool))) )).
% 12.51/12.68 cnf(fact_all__not__in__conv-2, axiom, ( ( _u402 != c_Orderings_Obot__class_Obot(tc_fun(_u400, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u400), _u396), _u402)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_ex__in__conv ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_ex__in__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u407), _u403), _u409)) | ( _u409 != c_Orderings_Obot__class_Obot(tc_fun(_u407, tc_HOL_Obool))) )).
% 12.51/12.68 cnf(fact_ex__in__conv-2, axiom, ( ( _u410 = c_Orderings_Obot__class_Obot(tc_fun(_u408, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u408), skolem16(_u410, _u408)), _u410)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_empty__iff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_empty__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u411), _u412), c_Orderings_Obot__class_Obot(tc_fun(_u411, tc_HOL_Obool)))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_equals0D ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_equals0D-1, axiom, ( ( _u413 != c_Orderings_Obot__class_Obot(tc_fun(_u414, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u414), _u415), _u413)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_empty__Collect__eq ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_empty__Collect__eq-1, axiom, ( ~hBOOL(hAPP(_u422, _u416)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u420, tc_HOL_Obool)) != hAPP(c_Set_OCollect(_u420), _u422)) )).
% 12.51/12.68 cnf(fact_empty__Collect__eq-2, axiom, ( hBOOL(hAPP(_u423, skolem17(_u423))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u421, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u421), _u423)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Collect__empty__eq ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Collect__empty__eq-1, axiom, ( ~hBOOL(hAPP(_u430, _u424)) | ( hAPP(c_Set_OCollect(_u428), _u430) != c_Orderings_Obot__class_Obot(tc_fun(_u428, tc_HOL_Obool))) )).
% 12.51/12.68 cnf(fact_Collect__empty__eq-2, axiom, ( hBOOL(hAPP(_u431, skolem18(_u431))) | ( hAPP(c_Set_OCollect(_u429), _u431) = c_Orderings_Obot__class_Obot(tc_fun(_u429, tc_HOL_Obool))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_order__refl ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_order__refl-1, axiom, ( ~class_Orderings_Opreorder(_u432) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u432), _u433), _u433)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_top__apply ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_top__apply-1, axiom, ( ~class_Orderings_Otop(_u434) | ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u435, _u434)), _u436) = c_Orderings_Otop__class_Otop(_u434)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_bot__apply ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_bot__apply-1, axiom, ( ~class_Orderings_Obot(_u437) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u438, _u437)), _u439) = c_Orderings_Obot__class_Obot(_u437)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_iso__tuple__UNIV__I ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_iso__tuple__UNIV__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u440), _u441), c_Orderings_Otop__class_Otop(tc_fun(_u440, tc_HOL_Obool)))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_top__greatest ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_top__greatest-1, axiom, ( ~class_Orderings_Otop(_u442) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u442), _u443), c_Orderings_Otop__class_Otop(_u442))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_le__fun__def ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_le__fun__def-1, axiom, ( ~class_Orderings_Oord(_u446) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u447, _u446)), _u448), _u449)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u446), hAPP(_u448, _u444)), hAPP(_u449, _u444))) )).
% 12.51/12.68 cnf(fact_le__fun__def-2, axiom, ( ~class_Orderings_Oord(_u446) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u446), hAPP(_u448, skolem19(_u449, _u448, _u447, _u446))), hAPP(_u449, skolem19(_u449, _u448, _u447, _u446)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u447, _u446)), _u448), _u449)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_le__funD ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_le__funD-1, axiom, ( ~class_Orderings_Oord(_u450) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u451, _u450)), _u452), _u453)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u450), hAPP(_u452, _u454)), hAPP(_u453, _u454))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_le__funE ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_le__funE-1, axiom, ( ~class_Orderings_Oord(_u455) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u456, _u455)), _u457), _u458)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u455), hAPP(_u457, _u459)), hAPP(_u458, _u459))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_bot__least ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_bot__least-1, axiom, ( ~class_Orderings_Obot(_u460) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u460), c_Orderings_Obot__class_Obot(_u460)), _u461)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_InterI ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_InterI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u463), _u465), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u463, tc_HOL_Obool), _u464))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u463, tc_HOL_Obool)), skolem20(_u465, _u464, _u463)), _u464)) )).
% 12.51/12.68 cnf(fact_InterI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u463), _u465), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u463, tc_HOL_Obool), _u464))) | ~hBOOL(hAPP(hAPP(c_member(_u463), _u465), skolem20(_u465, _u464, _u463))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_UnionE ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_UnionE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u467), _u468), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u467, tc_HOL_Obool), _u469))) | hBOOL(hAPP(hAPP(c_member(_u467), _u468), skolem21(_u469, _u468, _u467))) )).
% 12.51/12.68 cnf(fact_UnionE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u467), _u468), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u467, tc_HOL_Obool), _u469))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u467, tc_HOL_Obool)), skolem21(_u469, _u468, _u467)), _u469)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Inter__greatest ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Inter__greatest-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u471, tc_HOL_Obool)), _u473), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u471, tc_HOL_Obool), _u472))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u471, tc_HOL_Obool)), skolem22(_u473, _u472, _u471)), _u472)) )).
% 12.51/12.68 cnf(fact_Inter__greatest-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u471, tc_HOL_Obool)), _u473), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u471, tc_HOL_Obool), _u472))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u471, tc_HOL_Obool)), _u473), skolem22(_u473, _u472, _u471))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_linorder__le__cases ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_linorder__le__cases-1, axiom, ( ~class_Orderings_Olinorder(_u474) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u474), _u475), _u476)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u474), _u476), _u475)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_xt1_I6_J ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_xt1_I6_J-1, axiom, ( ~class_Orderings_Oorder(_u477) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u477), _u478), _u479)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u477), _u480), _u478)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u477), _u480), _u479)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_xt1_I5_J ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_xt1_I5_J-1, axiom, ( ~class_Orderings_Oorder(_u481) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u481), _u482), _u483)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u481), _u483), _u482)) | ( _u483 = _u482) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_order__trans ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_order__trans-1, axiom, ( ~class_Orderings_Opreorder(_u484) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u484), _u485), _u486)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u484), _u486), _u487)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u484), _u485), _u487)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_order__antisym ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_order__antisym-1, axiom, ( ~class_Orderings_Oorder(_u488) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u488), _u489), _u490)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u488), _u490), _u489)) | ( _u489 = _u490) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_xt1_I4_J ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_xt1_I4_J-1, axiom, ( ~class_Orderings_Oorder(_u491) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u491), _u492), _u493)) | ( _u492 != _u494) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u491), _u494), _u493)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_ord__le__eq__trans ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_ord__le__eq__trans-1, axiom, ( ~class_Orderings_Oord(_u495) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u495), _u496), _u497)) | ( _u497 != _u498) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u495), _u496), _u498)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_xt1_I3_J ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_xt1_I3_J-1, axiom, ( ~class_Orderings_Oorder(_u499) | ( _u500 != _u501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u499), _u502), _u501)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u499), _u502), _u500)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_ord__eq__le__trans ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_ord__eq__le__trans-1, axiom, ( ~class_Orderings_Oord(_u503) | ( _u504 != _u505) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u503), _u505), _u506)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u503), _u504), _u506)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_order__antisym__conv ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_order__antisym__conv-1, axiom, ( ~class_Orderings_Oorder(_u507) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u507), _u508), _u509)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u507), _u509), _u508)) | ( _u509 = _u508) )).
% 12.51/12.68 cnf(fact_order__antisym__conv-2, axiom, ( ~class_Orderings_Oorder(_u507) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u507), _u508), _u509)) | ( _u509 != _u508) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u507), _u509), _u508)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_order__eq__refl ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_order__eq__refl-1, axiom, ( ~class_Orderings_Opreorder(_u510) | ( _u511 != _u512) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u510), _u511), _u512)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_order__eq__iff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_order__eq__iff-1, axiom, ( ~class_Orderings_Oorder(_u513) | ( _u514 != _u515) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u513), _u514), _u515)) )).
% 12.51/12.68 cnf(fact_order__eq__iff-2, axiom, ( ~class_Orderings_Oorder(_u513) | ( _u514 != _u515) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u513), _u515), _u514)) )).
% 12.51/12.68 cnf(fact_order__eq__iff-3, axiom, ( ~class_Orderings_Oorder(_u513) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u513), _u514), _u515)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u513), _u515), _u514)) | ( _u514 = _u515) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_linorder__linear ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_linorder__linear-1, axiom, ( ~class_Orderings_Olinorder(_u516) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u516), _u517), _u518)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u516), _u518), _u517)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Powp__mono ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Powp__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u519, tc_HOL_Obool)), _u520), _u521)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u519, tc_HOL_Obool), tc_HOL_Obool)), c_Predicate_OPowp(_u519, _u520)), c_Predicate_OPowp(_u519, _u521))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Inter__subset ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Inter__subset-1, axiom, ( ( _u524 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u523, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u523, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u523, tc_HOL_Obool), _u524)), _u525)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u523, tc_HOL_Obool)), skolem23(_u525, _u524, _u523)), _u524)) )).
% 12.51/12.68 cnf(fact_Inter__subset-2, axiom, ( ( _u524 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u523, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u523, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u523, tc_HOL_Obool), _u524)), _u525)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u523, tc_HOL_Obool)), skolem23(_u525, _u524, _u523)), _u525)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Union__least ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Union__least-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u527, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u527, tc_HOL_Obool), _u528)), _u529)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u527, tc_HOL_Obool)), skolem24(_u529, _u528, _u527)), _u528)) )).
% 12.51/12.68 cnf(fact_Union__least-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u527, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u527, tc_HOL_Obool), _u528)), _u529)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u527, tc_HOL_Obool)), skolem24(_u529, _u528, _u527)), _u529)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Inf__greatest ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Inf__greatest-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u531) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u531), _u533), c_Complete__Lattice_OInf__class_OInf(_u531, _u532))) | hBOOL(hAPP(hAPP(c_member(_u531), skolem25(_u533, _u532, _u531)), _u532)) )).
% 12.51/12.68 cnf(fact_Inf__greatest-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u531) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u531), _u533), c_Complete__Lattice_OInf__class_OInf(_u531, _u532))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u531), _u533), skolem25(_u533, _u532, _u531))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Sup__least ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Sup__least-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u535) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u535), c_Complete__Lattice_OSup__class_OSup(_u535, _u536)), _u537)) | hBOOL(hAPP(hAPP(c_member(_u535), skolem26(_u537, _u536, _u535)), _u536)) )).
% 12.51/12.68 cnf(fact_Sup__least-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u535) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u535), c_Complete__Lattice_OSup__class_OSup(_u535, _u536)), _u537)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u535), skolem26(_u537, _u536, _u535)), _u537)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_subsetI ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_subsetI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u539, tc_HOL_Obool)), _u540), _u541)) | hBOOL(hAPP(hAPP(c_member(_u539), skolem27(_u541, _u540, _u539)), _u540)) )).
% 12.51/12.68 cnf(fact_subsetI-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u539, tc_HOL_Obool)), _u540), _u541)) | ~hBOOL(hAPP(hAPP(c_member(_u539), skolem27(_u541, _u540, _u539)), _u541)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_greaterThan__subset__iff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_greaterThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u542) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u542, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u542), _u543)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u542), _u544))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u542), _u544), _u543)) )).
% 12.51/12.68 cnf(fact_greaterThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u542) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u542), _u544), _u543)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u542, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u542), _u543)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u542), _u544))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Pow__UNIV ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Pow__UNIV-1, axiom, ( ( hAPP(c_Set_OPow(_u545), c_Orderings_Otop__class_Otop(tc_fun(_u545, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u545, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_PowI ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_PowI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u546, tc_HOL_Obool)), _u547), _u548)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u546, tc_HOL_Obool)), _u547), hAPP(c_Set_OPow(_u546), _u548))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_atMost__subset__iff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_atMost__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u549) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u549, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u549), _u550)), hAPP(c_SetInterval_Oord__class_OatMost(_u549), _u551))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u549), _u550), _u551)) )).
% 12.51/12.68 cnf(fact_atMost__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u549) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u549), _u550), _u551)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u549, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u549), _u550)), hAPP(c_SetInterval_Oord__class_OatMost(_u549), _u551))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_atLeast__subset__iff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_atLeast__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u552) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u552, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u552), _u553)), hAPP(c_SetInterval_Oord__class_OatLeast(_u552), _u554))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u552), _u554), _u553)) )).
% 12.51/12.68 cnf(fact_atLeast__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u552) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u552), _u554), _u553)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u552, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u552), _u553)), hAPP(c_SetInterval_Oord__class_OatLeast(_u552), _u554))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_greaterThan__eq__iff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_greaterThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u555) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u555), _u556) != hAPP(c_SetInterval_Oord__class_OgreaterThan(_u555), _u557)) | ( _u556 = _u557) )).
% 12.51/12.68 cnf(fact_greaterThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u555) | ( _u556 != _u557) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u555), _u556) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u555), _u557)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_atLeast__eq__iff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_atLeast__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u558) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u558), _u559) != hAPP(c_SetInterval_Oord__class_OatLeast(_u558), _u560)) | ( _u559 = _u560) )).
% 12.51/12.68 cnf(fact_atLeast__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u558) | ( _u559 != _u560) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u558), _u559) = hAPP(c_SetInterval_Oord__class_OatLeast(_u558), _u560)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_atMost__eq__iff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_atMost__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u561) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u561), _u562) != hAPP(c_SetInterval_Oord__class_OatMost(_u561), _u563)) | ( _u562 = _u563) )).
% 12.51/12.68 cnf(fact_atMost__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u561) | ( _u562 != _u563) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u561), _u562) = hAPP(c_SetInterval_Oord__class_OatMost(_u561), _u563)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Pow__top ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Pow__top-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u564, tc_HOL_Obool)), _u565), hAPP(c_Set_OPow(_u564), _u565))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Union__Pow__eq ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Union__Pow__eq-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u566, tc_HOL_Obool), hAPP(c_Set_OPow(_u566), _u567)) = _u567) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Pow__not__empty ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Pow__not__empty-1, axiom, ( ( hAPP(c_Set_OPow(_u568), _u569) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u568, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Pow__bottom ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Pow__bottom-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u570, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u570, tc_HOL_Obool))), hAPP(c_Set_OPow(_u570), _u571))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_PowD ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_PowD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u572, tc_HOL_Obool)), _u573), hAPP(c_Set_OPow(_u572), _u574))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u572, tc_HOL_Obool)), _u573), _u574)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Pow__iff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Pow__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u578, tc_HOL_Obool)), _u580), hAPP(c_Set_OPow(_u578), _u582))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u578, tc_HOL_Obool)), _u580), _u582)) )).
% 12.51/12.68 cnf(fact_Pow__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u579, tc_HOL_Obool)), _u581), _u583)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u579, tc_HOL_Obool)), _u581), hAPP(c_Set_OPow(_u579), _u583))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Pow__mono ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Pow__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u584, tc_HOL_Obool)), _u585), _u586)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u584, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u584), _u585)), hAPP(c_Set_OPow(_u584), _u586))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_atMost__iff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_atMost__iff-1, axiom, ( ~class_Orderings_Oord(_u587) | ~hBOOL(hAPP(hAPP(c_member(_u587), _u588), hAPP(c_SetInterval_Oord__class_OatMost(_u587), _u589))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u587), _u588), _u589)) )).
% 12.51/12.68 cnf(fact_atMost__iff-2, axiom, ( ~class_Orderings_Oord(_u587) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u587), _u588), _u589)) | hBOOL(hAPP(hAPP(c_member(_u587), _u588), hAPP(c_SetInterval_Oord__class_OatMost(_u587), _u589))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_atLeast__iff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_atLeast__iff-1, axiom, ( ~class_Orderings_Oord(_u590) | ~hBOOL(hAPP(hAPP(c_member(_u590), _u591), hAPP(c_SetInterval_Oord__class_OatLeast(_u590), _u592))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u590), _u592), _u591)) )).
% 12.51/12.68 cnf(fact_atLeast__iff-2, axiom, ( ~class_Orderings_Oord(_u590) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u590), _u592), _u591)) | hBOOL(hAPP(hAPP(c_member(_u590), _u591), hAPP(c_SetInterval_Oord__class_OatLeast(_u590), _u592))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_subset__Pow__Union ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_subset__Pow__Union-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u593, tc_HOL_Obool), tc_HOL_Obool)), _u594), hAPP(c_Set_OPow(_u593), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u593, tc_HOL_Obool), _u594)))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Pow__empty ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Pow__empty-1, axiom, ( ( hAPP(c_Set_OPow(_u595), c_Orderings_Obot__class_Obot(tc_fun(_u595, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u595, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u595, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u595, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_lessThan__subset__iff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_lessThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u596) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u596, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u596), _u597)), hAPP(c_SetInterval_Oord__class_OlessThan(_u596), _u598))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u596), _u597), _u598)) )).
% 12.51/12.68 cnf(fact_lessThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u596) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u596), _u597), _u598)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u596, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u596), _u597)), hAPP(c_SetInterval_Oord__class_OlessThan(_u596), _u598))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_INF__subset ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_INF__subset-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u599) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u600, tc_HOL_Obool)), _u601), _u602)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u599), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u600, _u599), _u602), _u603)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u600, _u599), _u601), _u603))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_SUP__subset ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_SUP__subset-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u604) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u605, tc_HOL_Obool)), _u606), _u607)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u604), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u605, _u604), _u606), _u608)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u605, _u604), _u607), _u608))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_greaterThanLessThan__empty ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_greaterThanLessThan__empty-1, axiom, ( ~class_Orderings_Oorder(_u609) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u609), _u610), _u611)) | ( c_SetInterval_Oord__class_OgreaterThanLessThan(_u609, _u611, _u610) = c_Orderings_Obot__class_Obot(tc_fun(_u609, tc_HOL_Obool))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_greaterThanAtMost__empty ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_greaterThanAtMost__empty-1, axiom, ( ~class_Orderings_Oorder(_u612) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u612), _u613), _u614)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u612, _u614, _u613) = c_Orderings_Obot__class_Obot(tc_fun(_u612, tc_HOL_Obool))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Collect__mono ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Collect__mono-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u618, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u618), _u616)), hAPP(c_Set_OCollect(_u618), _u617))) | hBOOL(hAPP(_u616, skolem28(_u618, _u617, _u616))) )).
% 12.51/12.68 cnf(fact_Collect__mono-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u618, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u618), _u616)), hAPP(c_Set_OCollect(_u618), _u617))) | ~hBOOL(hAPP(_u617, skolem28(_u618, _u617, _u616))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_UNIV__eq__I ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_UNIV__eq__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u620), skolem29(_u621, _u620)), _u621)) | ( c_Orderings_Otop__class_Otop(tc_fun(_u620, tc_HOL_Obool)) = _u621) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_UNIV__witness ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_UNIV__witness-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u623), skolem30(_u623)), c_Orderings_Otop__class_Otop(tc_fun(_u623, tc_HOL_Obool)))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_le__funI ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_le__funI-1, axiom, ( ~class_Orderings_Oord(_u625) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u625), hAPP(_u626, skolem31(_u628, _u627, _u626, _u625))), hAPP(_u627, skolem31(_u628, _u627, _u626, _u625)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u628, _u625)), _u626), _u627)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_equals0I ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_equals0I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u630), skolem32(_u631, _u630)), _u631)) | ( _u631 = c_Orderings_Obot__class_Obot(tc_fun(_u630, tc_HOL_Obool))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_insertCI ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_insertCI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u632), _u633), hAPP(hAPP(c_Set_Oinsert(_u632), _u635), _u634))) | ~hBOOL(hAPP(hAPP(c_member(_u632), _u633), _u634)) )).
% 12.51/12.68 cnf(fact_insertCI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u632), _u633), hAPP(hAPP(c_Set_Oinsert(_u632), _u635), _u634))) | ( _u633 != _u635) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_insertE ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_insertE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u636), _u637), hAPP(hAPP(c_Set_Oinsert(_u636), _u638), _u639))) | ( _u637 = _u638) | hBOOL(hAPP(hAPP(c_member(_u636), _u637), _u639)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_insert__absorb2 ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_insert__absorb2-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u640), _u641), hAPP(hAPP(c_Set_Oinsert(_u640), _u641), _u642)) = hAPP(hAPP(c_Set_Oinsert(_u640), _u641), _u642)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_insert__commute ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_insert__commute-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u643), _u644), hAPP(hAPP(c_Set_Oinsert(_u643), _u645), _u646)) = hAPP(hAPP(c_Set_Oinsert(_u643), _u645), hAPP(hAPP(c_Set_Oinsert(_u643), _u644), _u646))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_insert__code ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_insert__code-1, axiom, ( ( _u653 = _u657) | hBOOL(hAPP(_u655, _u657)) | ~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u651), _u653), _u655), _u657)) )).
% 12.51/12.68 cnf(fact_insert__code-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u652), _u654), _u656), _u658)) | ( _u654 != _u658) )).
% 12.51/12.68 cnf(fact_insert__code-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u652), _u654), _u656), _u658)) | ~hBOOL(hAPP(_u656, _u658)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_lessThan__eq__iff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_lessThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u659) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u659), _u660) != hAPP(c_SetInterval_Oord__class_OlessThan(_u659), _u661)) | ( _u660 = _u661) )).
% 12.51/12.68 cnf(fact_lessThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u659) | ( _u660 != _u661) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u659), _u660) = hAPP(c_SetInterval_Oord__class_OlessThan(_u659), _u661)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_insert__absorb ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_insert__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u662), _u663), _u664)) | ( hAPP(hAPP(c_Set_Oinsert(_u662), _u663), _u664) = _u664) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_insertI2 ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_insertI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u665), _u666), _u667)) | hBOOL(hAPP(hAPP(c_member(_u665), _u666), hAPP(hAPP(c_Set_Oinsert(_u665), _u668), _u667))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_insert__ident ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_insert__ident-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u669), _u670), _u671)) | hBOOL(hAPP(hAPP(c_member(_u669), _u670), _u672)) | ( hAPP(hAPP(c_Set_Oinsert(_u669), _u670), _u671) != hAPP(hAPP(c_Set_Oinsert(_u669), _u670), _u672)) | ( _u671 = _u672) )).
% 12.51/12.68 cnf(fact_insert__ident-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u669), _u670), _u671)) | hBOOL(hAPP(hAPP(c_member(_u669), _u670), _u672)) | ( _u671 != _u672) | ( hAPP(hAPP(c_Set_Oinsert(_u669), _u670), _u671) = hAPP(hAPP(c_Set_Oinsert(_u669), _u670), _u672)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_insert__iff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u677), _u679), hAPP(hAPP(c_Set_Oinsert(_u677), _u681), _u683))) | ( _u679 = _u681) | hBOOL(hAPP(hAPP(c_member(_u677), _u679), _u683)) )).
% 12.51/12.68 cnf(fact_insert__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u678), _u680), hAPP(hAPP(c_Set_Oinsert(_u678), _u682), _u684))) | ( _u680 != _u682) )).
% 12.51/12.68 cnf(fact_insert__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u678), _u680), hAPP(hAPP(c_Set_Oinsert(_u678), _u682), _u684))) | ~hBOOL(hAPP(hAPP(c_member(_u678), _u680), _u684)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_insertI1 ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_insertI1-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u685), _u686), hAPP(hAPP(c_Set_Oinsert(_u685), _u686), _u687))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_empty__not__insert ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_empty__not__insert-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u688, tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(_u688), _u689), _u690)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_insert__not__empty ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_insert__not__empty-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u691), _u692), _u693) != c_Orderings_Obot__class_Obot(tc_fun(_u691, tc_HOL_Obool))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_doubleton__eq__iff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_doubleton__eq__iff-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u699), _u701), hAPP(hAPP(c_Set_Oinsert(_u699), _u703), c_Orderings_Obot__class_Obot(tc_fun(_u699, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u699), _u705), hAPP(hAPP(c_Set_Oinsert(_u699), _u707), c_Orderings_Obot__class_Obot(tc_fun(_u699, tc_HOL_Obool))))) | ( _u701 = _u705) | ( _u701 = _u707) )).
% 12.51/12.68 cnf(fact_doubleton__eq__iff-2, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u699), _u701), hAPP(hAPP(c_Set_Oinsert(_u699), _u703), c_Orderings_Obot__class_Obot(tc_fun(_u699, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u699), _u705), hAPP(hAPP(c_Set_Oinsert(_u699), _u707), c_Orderings_Obot__class_Obot(tc_fun(_u699, tc_HOL_Obool))))) | ( _u701 = _u705) | ( _u703 = _u705) )).
% 12.51/12.68 cnf(fact_doubleton__eq__iff-3, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u699), _u701), hAPP(hAPP(c_Set_Oinsert(_u699), _u703), c_Orderings_Obot__class_Obot(tc_fun(_u699, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u699), _u705), hAPP(hAPP(c_Set_Oinsert(_u699), _u707), c_Orderings_Obot__class_Obot(tc_fun(_u699, tc_HOL_Obool))))) | ( _u703 = _u707) | ( _u701 = _u707) )).
% 12.51/12.68 cnf(fact_doubleton__eq__iff-4, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u699), _u701), hAPP(hAPP(c_Set_Oinsert(_u699), _u703), c_Orderings_Obot__class_Obot(tc_fun(_u699, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u699), _u705), hAPP(hAPP(c_Set_Oinsert(_u699), _u707), c_Orderings_Obot__class_Obot(tc_fun(_u699, tc_HOL_Obool))))) | ( _u703 = _u707) | ( _u703 = _u705) )).
% 12.51/12.68 cnf(fact_doubleton__eq__iff-5, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u700), _u702), hAPP(hAPP(c_Set_Oinsert(_u700), _u704), c_Orderings_Obot__class_Obot(tc_fun(_u700, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u700), _u706), hAPP(hAPP(c_Set_Oinsert(_u700), _u708), c_Orderings_Obot__class_Obot(tc_fun(_u700, tc_HOL_Obool))))) | ( _u702 != _u706) | ( _u704 != _u708) )).
% 12.51/12.68 cnf(fact_doubleton__eq__iff-6, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u700), _u702), hAPP(hAPP(c_Set_Oinsert(_u700), _u704), c_Orderings_Obot__class_Obot(tc_fun(_u700, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u700), _u706), hAPP(hAPP(c_Set_Oinsert(_u700), _u708), c_Orderings_Obot__class_Obot(tc_fun(_u700, tc_HOL_Obool))))) | ( _u702 != _u708) | ( _u704 != _u706) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_singleton__inject ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_singleton__inject-1, axiom, ( ( _u710 = _u711) | ( hAPP(hAPP(c_Set_Oinsert(_u709), _u710), c_Orderings_Obot__class_Obot(tc_fun(_u709, tc_HOL_Obool))) != hAPP(hAPP(c_Set_Oinsert(_u709), _u711), c_Orderings_Obot__class_Obot(tc_fun(_u709, tc_HOL_Obool)))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_subset__insertI ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_subset__insertI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u712, tc_HOL_Obool)), _u713), hAPP(hAPP(c_Set_Oinsert(_u712), _u714), _u713))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_subset__insertI2 ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_subset__insertI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u715, tc_HOL_Obool)), _u716), _u717)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u715, tc_HOL_Obool)), _u716), hAPP(hAPP(c_Set_Oinsert(_u715), _u718), _u717))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_insert__mono ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_insert__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u719, tc_HOL_Obool)), _u720), _u721)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u719, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u719), _u722), _u720)), hAPP(hAPP(c_Set_Oinsert(_u719), _u722), _u721))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_singleton__iff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_singleton__iff-1, axiom, ( ( _u728 = _u730) | ~hBOOL(hAPP(hAPP(c_member(_u726), _u728), hAPP(hAPP(c_Set_Oinsert(_u726), _u730), c_Orderings_Obot__class_Obot(tc_fun(_u726, tc_HOL_Obool))))) )).
% 12.51/12.68 cnf(fact_singleton__iff-2, axiom, ( ( _u729 != _u731) | hBOOL(hAPP(hAPP(c_member(_u727), _u729), hAPP(hAPP(c_Set_Oinsert(_u727), _u731), c_Orderings_Obot__class_Obot(tc_fun(_u727, tc_HOL_Obool))))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_singletonE ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_singletonE-1, axiom, ( ( _u733 = _u734) | ~hBOOL(hAPP(hAPP(c_member(_u732), _u733), hAPP(hAPP(c_Set_Oinsert(_u732), _u734), c_Orderings_Obot__class_Obot(tc_fun(_u732, tc_HOL_Obool))))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_insert__subset ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_insert__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u739, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u739), _u741), _u743)), _u745)) | hBOOL(hAPP(hAPP(c_member(_u739), _u741), _u745)) )).
% 12.51/12.68 cnf(fact_insert__subset-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u739, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u739), _u741), _u743)), _u745)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u739, tc_HOL_Obool)), _u743), _u745)) )).
% 12.51/12.68 cnf(fact_insert__subset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u740), _u742), _u746)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u740, tc_HOL_Obool)), _u744), _u746)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u740, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u740), _u742), _u744)), _u746)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_subset__insert ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_subset__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u747), _u748), _u749)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u747, tc_HOL_Obool)), _u749), hAPP(hAPP(c_Set_Oinsert(_u747), _u748), _u750))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u747, tc_HOL_Obool)), _u749), _u750)) )).
% 12.51/12.68 cnf(fact_subset__insert-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u747), _u748), _u749)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u747, tc_HOL_Obool)), _u749), _u750)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u747, tc_HOL_Obool)), _u749), hAPP(hAPP(c_Set_Oinsert(_u747), _u748), _u750))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_subset__singletonD ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_subset__singletonD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u751, tc_HOL_Obool)), _u752), hAPP(hAPP(c_Set_Oinsert(_u751), _u753), c_Orderings_Obot__class_Obot(tc_fun(_u751, tc_HOL_Obool))))) | ( _u752 = c_Orderings_Obot__class_Obot(tc_fun(_u751, tc_HOL_Obool))) | ( _u752 = hAPP(hAPP(c_Set_Oinsert(_u751), _u753), c_Orderings_Obot__class_Obot(tc_fun(_u751, tc_HOL_Obool)))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Sup__singleton ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Sup__singleton-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u754) | ( c_Complete__Lattice_OSup__class_OSup(_u754, hAPP(hAPP(c_Set_Oinsert(_u754), _u755), c_Orderings_Obot__class_Obot(tc_fun(_u754, tc_HOL_Obool)))) = _u755) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Inf__singleton ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Inf__singleton-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u756) | ( c_Complete__Lattice_OInf__class_OInf(_u756, hAPP(hAPP(c_Set_Oinsert(_u756), _u757), c_Orderings_Obot__class_Obot(tc_fun(_u756, tc_HOL_Obool)))) = _u757) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_the__elem__eq ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_the__elem__eq-1, axiom, ( ( c_Set_Othe__elem(_u758, hAPP(hAPP(c_Set_Oinsert(_u758), _u759), c_Orderings_Obot__class_Obot(tc_fun(_u758, tc_HOL_Obool)))) = _u759) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_ivl__disj__un_I1_J ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_ivl__disj__un_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u760) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u760, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u760), _u761), c_Orderings_Obot__class_Obot(tc_fun(_u760, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u760), _u761)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u760), _u761)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_atMost__Int__atLeast ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_atMost__Int__atLeast-1, axiom, ( ~class_Orderings_Oorder(_u762) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u762, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u762), _u763)), hAPP(c_SetInterval_Oord__class_OatLeast(_u762), _u763)) = hAPP(hAPP(c_Set_Oinsert(_u762), _u763), c_Orderings_Obot__class_Obot(tc_fun(_u762, tc_HOL_Obool)))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_ivl__disj__un_I2_J ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_ivl__disj__un_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u764) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u764, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u764), _u765)), hAPP(hAPP(c_Set_Oinsert(_u764), _u765), c_Orderings_Obot__class_Obot(tc_fun(_u764, tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(_u764), _u765)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_diff__single__insert ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_diff__single__insert-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u766, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u766, tc_HOL_Obool)), _u767), hAPP(hAPP(c_Set_Oinsert(_u766), _u768), c_Orderings_Obot__class_Obot(tc_fun(_u766, tc_HOL_Obool))))), _u769)) | ~hBOOL(hAPP(hAPP(c_member(_u766), _u768), _u767)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u766, tc_HOL_Obool)), _u767), hAPP(hAPP(c_Set_Oinsert(_u766), _u768), _u769))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_subset__insert__iff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_subset__insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u774, tc_HOL_Obool)), _u776), hAPP(hAPP(c_Set_Oinsert(_u774), _u778), _u780))) | ~hBOOL(hAPP(hAPP(c_member(_u774), _u778), _u776)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u774, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u774, tc_HOL_Obool)), _u776), hAPP(hAPP(c_Set_Oinsert(_u774), _u778), c_Orderings_Obot__class_Obot(tc_fun(_u774, tc_HOL_Obool))))), _u780)) )).
% 12.51/12.68 cnf(fact_subset__insert__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u774, tc_HOL_Obool)), _u776), hAPP(hAPP(c_Set_Oinsert(_u774), _u778), _u780))) | hBOOL(hAPP(hAPP(c_member(_u774), _u778), _u776)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u774, tc_HOL_Obool)), _u776), _u780)) )).
% 12.51/12.68 cnf(fact_subset__insert__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u775, tc_HOL_Obool)), _u777), hAPP(hAPP(c_Set_Oinsert(_u775), _u779), _u781))) | hBOOL(hAPP(hAPP(c_member(_u775), _u779), _u777)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u775, tc_HOL_Obool)), _u777), _u781)) )).
% 12.51/12.68 cnf(fact_subset__insert__iff-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u775, tc_HOL_Obool)), _u777), hAPP(hAPP(c_Set_Oinsert(_u775), _u779), _u781))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u775, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u775, tc_HOL_Obool)), _u777), hAPP(hAPP(c_Set_Oinsert(_u775), _u779), c_Orderings_Obot__class_Obot(tc_fun(_u775, tc_HOL_Obool))))), _u781)) | ~hBOOL(hAPP(hAPP(c_member(_u775), _u779), _u777)) )).
% 12.51/12.68 cnf(fact_subset__insert__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u775, tc_HOL_Obool)), _u777), hAPP(hAPP(c_Set_Oinsert(_u775), _u779), _u781))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u775, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u775, tc_HOL_Obool)), _u777), hAPP(hAPP(c_Set_Oinsert(_u775), _u779), c_Orderings_Obot__class_Obot(tc_fun(_u775, tc_HOL_Obool))))), _u781)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u775, tc_HOL_Obool)), _u777), _u781)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Int__eq__Inter ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Int__eq__Inter-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u782, tc_HOL_Obool)), _u783), _u784) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u782, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u782, tc_HOL_Obool)), _u783), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u782, tc_HOL_Obool)), _u784), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u782, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Un__eq__Union ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Un__eq__Union-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u785, tc_HOL_Obool)), _u786), _u787) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u785, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u785, tc_HOL_Obool)), _u786), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u785, tc_HOL_Obool)), _u787), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u785, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_ivl__disj__int_I5_J ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_ivl__disj__int_I5_J-1, axiom, ( ~class_Orderings_Oorder(_u788) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u788, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u788, _u789, _u790)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u788), _u790)) = c_Orderings_Obot__class_Obot(tc_fun(_u788, tc_HOL_Obool))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_ivl__disj__int_I6_J ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_ivl__disj__int_I6_J-1, axiom, ( ~class_Orderings_Oorder(_u791) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u791, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u791, _u792, _u793)), hAPP(c_SetInterval_Oord__class_OatLeast(_u791), _u793)) = c_Orderings_Obot__class_Obot(tc_fun(_u791, tc_HOL_Obool))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_ivl__disj__un_I11_J ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_ivl__disj__un_I11_J-1, axiom, ( ~class_Orderings_Olinorder(_u794) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u794), _u795), _u796)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u794, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u794, _u795, _u796)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u794), _u796)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u794), _u795)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_sup1CI ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_sup1CI-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u800, tc_HOL_Obool)), _u799), _u797), _u798)) | ~hBOOL(hAPP(_u797, _u798)) )).
% 12.51/12.68 cnf(fact_sup1CI-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u800, tc_HOL_Obool)), _u799), _u797), _u798)) | ~hBOOL(hAPP(_u799, _u798)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_sup1E ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_sup1E-1, axiom, ( hBOOL(hAPP(_u802, _u804)) | hBOOL(hAPP(_u803, _u804)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u801, tc_HOL_Obool)), _u802), _u803), _u804)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_inf1E ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_inf1E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u805, tc_HOL_Obool)), _u806), _u807), _u808)) | hBOOL(hAPP(_u806, _u808)) )).
% 12.51/12.68 cnf(fact_inf1E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u805, tc_HOL_Obool)), _u806), _u807), _u808)) | hBOOL(hAPP(_u807, _u808)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_inf1I ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_inf1I-1, axiom, ( ~hBOOL(hAPP(_u809, _u810)) | ~hBOOL(hAPP(_u811, _u810)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u812, tc_HOL_Obool)), _u809), _u811), _u810)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_UnE ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_UnE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u813), _u814), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u813, tc_HOL_Obool)), _u815), _u816))) | hBOOL(hAPP(hAPP(c_member(_u813), _u814), _u815)) | hBOOL(hAPP(hAPP(c_member(_u813), _u814), _u816)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_UnCI ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_UnCI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u817), _u818), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u817, tc_HOL_Obool)), _u820), _u819))) | ~hBOOL(hAPP(hAPP(c_member(_u817), _u818), _u819)) )).
% 12.51/12.68 cnf(fact_UnCI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u817), _u818), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u817, tc_HOL_Obool)), _u820), _u819))) | ~hBOOL(hAPP(hAPP(c_member(_u817), _u818), _u820)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_IntI ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_IntI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u821), _u822), _u823)) | ~hBOOL(hAPP(hAPP(c_member(_u821), _u822), _u824)) | hBOOL(hAPP(hAPP(c_member(_u821), _u822), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u821, tc_HOL_Obool)), _u823), _u824))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_IntE ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_IntE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u825), _u826), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u825, tc_HOL_Obool)), _u827), _u828))) | hBOOL(hAPP(hAPP(c_member(_u825), _u826), _u827)) )).
% 12.51/12.68 cnf(fact_IntE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u825), _u826), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u825, tc_HOL_Obool)), _u827), _u828))) | hBOOL(hAPP(hAPP(c_member(_u825), _u826), _u828)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_DiffI ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_DiffI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u829), _u830), _u831)) | hBOOL(hAPP(hAPP(c_member(_u829), _u830), _u832)) | hBOOL(hAPP(hAPP(c_member(_u829), _u830), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u829, tc_HOL_Obool)), _u831), _u832))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_DiffE ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_DiffE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u833), _u834), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u833, tc_HOL_Obool)), _u835), _u836))) | hBOOL(hAPP(hAPP(c_member(_u833), _u834), _u835)) )).
% 12.51/12.68 cnf(fact_DiffE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u833), _u834), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u833, tc_HOL_Obool)), _u835), _u836))) | ~hBOOL(hAPP(hAPP(c_member(_u833), _u834), _u836)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_inf1D2 ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_inf1D2-1, axiom, ( hBOOL(hAPP(_u839, _u840)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u837, tc_HOL_Obool)), _u838), _u839), _u840)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_inf1D1 ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_inf1D1-1, axiom, ( hBOOL(hAPP(_u842, _u844)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u841, tc_HOL_Obool)), _u842), _u843), _u844)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_sup1I2 ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_sup1I2-1, axiom, ( ~hBOOL(hAPP(_u845, _u846)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u847, tc_HOL_Obool)), _u848), _u845), _u846)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_sup1I1 ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_sup1I1-1, axiom, ( ~hBOOL(hAPP(_u849, _u850)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u851, tc_HOL_Obool)), _u849), _u852), _u850)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Un__Int__crazy ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Un__Int__crazy-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u853, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u853, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u853, tc_HOL_Obool)), _u854), _u855)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u853, tc_HOL_Obool)), _u855), _u856))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u853, tc_HOL_Obool)), _u856), _u854)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u853, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u853, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u853, tc_HOL_Obool)), _u854), _u855)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u853, tc_HOL_Obool)), _u855), _u856))), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u853, tc_HOL_Obool)), _u856), _u854))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Diff__Int2 ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Diff__Int2-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u857, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u857, tc_HOL_Obool)), _u858), _u859)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u857, tc_HOL_Obool)), _u860), _u859)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u857, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u857, tc_HOL_Obool)), _u858), _u859)), _u860)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Un__Diff__Int ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Un__Diff__Int-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u861, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u861, tc_HOL_Obool)), _u862), _u863)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u861, tc_HOL_Obool)), _u862), _u863)) = _u862) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_ball__Un ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_ball__Un-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u874), skolem33(_u880, _u878, _u876, _u874)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u874, tc_HOL_Obool)), _u876), _u878))) | ~hBOOL(hAPP(hAPP(c_member(_u874), _u865), _u876)) | hBOOL(hAPP(_u880, _u865)) )).
% 12.51/12.68 cnf(fact_ball__Un-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u874), skolem33(_u880, _u878, _u876, _u874)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u874, tc_HOL_Obool)), _u876), _u878))) | ~hBOOL(hAPP(hAPP(c_member(_u874), _u866), _u878)) | hBOOL(hAPP(_u880, _u866)) )).
% 12.51/12.68 cnf(fact_ball__Un-3, axiom, ( ~hBOOL(hAPP(_u880, skolem33(_u880, _u878, _u876, _u874))) | ~hBOOL(hAPP(hAPP(c_member(_u874), _u865), _u876)) | hBOOL(hAPP(_u880, _u865)) )).
% 12.51/12.68 cnf(fact_ball__Un-4, axiom, ( ~hBOOL(hAPP(_u880, skolem33(_u880, _u878, _u876, _u874))) | ~hBOOL(hAPP(hAPP(c_member(_u874), _u866), _u878)) | hBOOL(hAPP(_u880, _u866)) )).
% 12.51/12.68 cnf(fact_ball__Un-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u875), _u869), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u875, tc_HOL_Obool)), _u877), _u879))) | hBOOL(hAPP(_u881, _u869)) | hBOOL(hAPP(hAPP(c_member(_u875), skolem34(_u881, _u879, _u877, _u875)), _u877)) | hBOOL(hAPP(hAPP(c_member(_u875), skolem35(_u881, _u879, _u877, _u875)), _u879)) )).
% 12.51/12.68 cnf(fact_ball__Un-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u875), _u869), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u875, tc_HOL_Obool)), _u877), _u879))) | hBOOL(hAPP(_u881, _u869)) | hBOOL(hAPP(hAPP(c_member(_u875), skolem34(_u881, _u879, _u877, _u875)), _u877)) | ~hBOOL(hAPP(_u881, skolem35(_u881, _u879, _u877, _u875))) )).
% 12.51/12.68 cnf(fact_ball__Un-7, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u875), _u869), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u875, tc_HOL_Obool)), _u877), _u879))) | hBOOL(hAPP(_u881, _u869)) | ~hBOOL(hAPP(_u881, skolem34(_u881, _u879, _u877, _u875))) | hBOOL(hAPP(hAPP(c_member(_u875), skolem35(_u881, _u879, _u877, _u875)), _u879)) )).
% 12.51/12.68 cnf(fact_ball__Un-8, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u875), _u869), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u875, tc_HOL_Obool)), _u877), _u879))) | hBOOL(hAPP(_u881, _u869)) | ~hBOOL(hAPP(_u881, skolem34(_u881, _u879, _u877, _u875))) | ~hBOOL(hAPP(_u881, skolem35(_u881, _u879, _u877, _u875))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_bex__Un ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_bex__Un-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u892), _u882), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u892, tc_HOL_Obool)), _u894), _u896))) | ~hBOOL(hAPP(_u898, _u882)) | hBOOL(hAPP(hAPP(c_member(_u892), skolem36(_u898, _u896, _u894, _u892)), _u894)) | hBOOL(hAPP(hAPP(c_member(_u892), skolem37(_u898, _u896, _u894, _u892)), _u896)) )).
% 12.51/12.68 cnf(fact_bex__Un-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u892), _u882), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u892, tc_HOL_Obool)), _u894), _u896))) | ~hBOOL(hAPP(_u898, _u882)) | hBOOL(hAPP(hAPP(c_member(_u892), skolem36(_u898, _u896, _u894, _u892)), _u894)) | hBOOL(hAPP(_u898, skolem37(_u898, _u896, _u894, _u892))) )).
% 12.51/12.68 cnf(fact_bex__Un-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u892), _u882), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u892, tc_HOL_Obool)), _u894), _u896))) | ~hBOOL(hAPP(_u898, _u882)) | hBOOL(hAPP(_u898, skolem36(_u898, _u896, _u894, _u892))) | hBOOL(hAPP(hAPP(c_member(_u892), skolem37(_u898, _u896, _u894, _u892)), _u896)) )).
% 12.51/12.68 cnf(fact_bex__Un-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u892), _u882), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u892, tc_HOL_Obool)), _u894), _u896))) | ~hBOOL(hAPP(_u898, _u882)) | hBOOL(hAPP(_u898, skolem36(_u898, _u896, _u894, _u892))) | hBOOL(hAPP(_u898, skolem37(_u898, _u896, _u894, _u892))) )).
% 12.51/12.68 cnf(fact_bex__Un-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u893), _u885), _u895)) | ~hBOOL(hAPP(_u899, _u885)) | hBOOL(hAPP(hAPP(c_member(_u893), skolem38(_u899, _u897, _u895, _u893)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u893, tc_HOL_Obool)), _u895), _u897))) )).
% 12.51/12.68 cnf(fact_bex__Un-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u893), _u885), _u895)) | ~hBOOL(hAPP(_u899, _u885)) | hBOOL(hAPP(_u899, skolem38(_u899, _u897, _u895, _u893))) )).
% 12.51/12.68 cnf(fact_bex__Un-7, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u893), _u886), _u897)) | ~hBOOL(hAPP(_u899, _u886)) | hBOOL(hAPP(hAPP(c_member(_u893), skolem38(_u899, _u897, _u895, _u893)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u893, tc_HOL_Obool)), _u895), _u897))) )).
% 12.51/12.68 cnf(fact_bex__Un-8, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u893), _u886), _u897)) | ~hBOOL(hAPP(_u899, _u886)) | hBOOL(hAPP(_u899, skolem38(_u899, _u897, _u895, _u893))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Un__Int__distrib2 ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Un__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u900, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u900, tc_HOL_Obool)), _u901), _u902)), _u903) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u900, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u900, tc_HOL_Obool)), _u901), _u903)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u900, tc_HOL_Obool)), _u902), _u903))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Int__Un__distrib2 ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Int__Un__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u904, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u904, tc_HOL_Obool)), _u905), _u906)), _u907) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u904, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u904, tc_HOL_Obool)), _u905), _u907)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u904, tc_HOL_Obool)), _u906), _u907))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Diff__Int__distrib2 ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Diff__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u908, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u908, tc_HOL_Obool)), _u909), _u910)), _u911) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u908, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u908, tc_HOL_Obool)), _u909), _u911)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u908, tc_HOL_Obool)), _u910), _u911))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Un__Diff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Un__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u912, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u912, tc_HOL_Obool)), _u913), _u914)), _u915) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u912, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u912, tc_HOL_Obool)), _u913), _u915)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u912, tc_HOL_Obool)), _u914), _u915))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Un__assoc ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Un__assoc-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u916, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u916, tc_HOL_Obool)), _u917), _u918)), _u919) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u916, tc_HOL_Obool)), _u917), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u916, tc_HOL_Obool)), _u918), _u919))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Int__assoc ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Int__assoc-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u920, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u920, tc_HOL_Obool)), _u921), _u922)), _u923) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u920, tc_HOL_Obool)), _u921), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u920, tc_HOL_Obool)), _u922), _u923))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Int__Diff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Int__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u924, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u924, tc_HOL_Obool)), _u925), _u926)), _u927) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u924, tc_HOL_Obool)), _u925), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u924, tc_HOL_Obool)), _u926), _u927))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Un__Diff__cancel2 ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Un__Diff__cancel2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u928, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u928, tc_HOL_Obool)), _u929), _u930)), _u930) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u928, tc_HOL_Obool)), _u929), _u930)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Diff__idemp ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Diff__idemp-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u931, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u931, tc_HOL_Obool)), _u932), _u933)), _u933) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u931, tc_HOL_Obool)), _u932), _u933)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Un__Int__distrib ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Un__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u934, tc_HOL_Obool)), _u935), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u934, tc_HOL_Obool)), _u936), _u937)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u934, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u934, tc_HOL_Obool)), _u935), _u936)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u934, tc_HOL_Obool)), _u935), _u937))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Diff__Int__distrib ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Diff__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u938, tc_HOL_Obool)), _u939), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u938, tc_HOL_Obool)), _u940), _u941)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u938, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u938, tc_HOL_Obool)), _u939), _u940)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u938, tc_HOL_Obool)), _u939), _u941))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Int__Un__distrib ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Int__Un__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u942, tc_HOL_Obool)), _u943), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u942, tc_HOL_Obool)), _u944), _u945)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u942, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u942, tc_HOL_Obool)), _u943), _u944)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u942, tc_HOL_Obool)), _u943), _u945))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Diff__Un ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Diff__Un-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u946, tc_HOL_Obool)), _u947), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u946, tc_HOL_Obool)), _u948), _u949)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u946, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u946, tc_HOL_Obool)), _u947), _u948)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u946, tc_HOL_Obool)), _u947), _u949))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Diff__Int ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Diff__Int-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u950, tc_HOL_Obool)), _u951), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u950, tc_HOL_Obool)), _u952), _u953)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u950, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u950, tc_HOL_Obool)), _u951), _u952)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u950, tc_HOL_Obool)), _u951), _u953))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Un__left__commute ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Un__left__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u954, tc_HOL_Obool)), _u955), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u954, tc_HOL_Obool)), _u956), _u957)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u954, tc_HOL_Obool)), _u956), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u954, tc_HOL_Obool)), _u955), _u957))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Int__left__commute ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Int__left__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u958, tc_HOL_Obool)), _u959), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u958, tc_HOL_Obool)), _u960), _u961)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u958, tc_HOL_Obool)), _u960), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u958, tc_HOL_Obool)), _u959), _u961))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Un__left__absorb ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Un__left__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u962, tc_HOL_Obool)), _u963), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u962, tc_HOL_Obool)), _u963), _u964)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u962, tc_HOL_Obool)), _u963), _u964)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Un__Diff__cancel ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Un__Diff__cancel-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u965, tc_HOL_Obool)), _u966), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u965, tc_HOL_Obool)), _u967), _u966)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u965, tc_HOL_Obool)), _u966), _u967)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Int__left__absorb ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Int__left__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u968, tc_HOL_Obool)), _u969), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u968, tc_HOL_Obool)), _u969), _u970)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u968, tc_HOL_Obool)), _u969), _u970)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Un__commute ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Un__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u971, tc_HOL_Obool)), _u972), _u973) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u971, tc_HOL_Obool)), _u973), _u972)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Int__commute ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Int__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u974, tc_HOL_Obool)), _u975), _u976) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u974, tc_HOL_Obool)), _u976), _u975)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Un__absorb ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Un__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u977, tc_HOL_Obool)), _u978), _u978) = _u978) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Int__absorb ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Int__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u979, tc_HOL_Obool)), _u980), _u980) = _u980) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Diff__triv ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Diff__triv-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u981, tc_HOL_Obool)), _u982), _u983) != c_Orderings_Obot__class_Obot(tc_fun(_u981, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u981, tc_HOL_Obool)), _u982), _u983) = _u982) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Diff__disjoint ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Diff__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u984, tc_HOL_Obool)), _u985), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u984, tc_HOL_Obool)), _u986), _u985)) = c_Orderings_Obot__class_Obot(tc_fun(_u984, tc_HOL_Obool))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Diff__partition ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Diff__partition-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u987, tc_HOL_Obool)), _u988), _u989)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u987, tc_HOL_Obool)), _u988), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u987, tc_HOL_Obool)), _u989), _u988)) = _u989) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Diff__subset__conv ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Diff__subset__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u994, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u994, tc_HOL_Obool)), _u996), _u998)), _u1000)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u994, tc_HOL_Obool)), _u996), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u994, tc_HOL_Obool)), _u998), _u1000))) )).
% 12.51/12.68 cnf(fact_Diff__subset__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u995, tc_HOL_Obool)), _u997), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u995, tc_HOL_Obool)), _u999), _u1001))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u995, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u995, tc_HOL_Obool)), _u997), _u999)), _u1001)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Un__Int__assoc__eq ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Un__Int__assoc__eq-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1006, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1006, tc_HOL_Obool)), _u1008), _u1010)), _u1012) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1006, tc_HOL_Obool)), _u1008), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1006, tc_HOL_Obool)), _u1010), _u1012))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1006, tc_HOL_Obool)), _u1012), _u1008)) )).
% 12.51/12.68 cnf(fact_Un__Int__assoc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1007, tc_HOL_Obool)), _u1013), _u1009)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1007, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1007, tc_HOL_Obool)), _u1009), _u1011)), _u1013) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1007, tc_HOL_Obool)), _u1009), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1007, tc_HOL_Obool)), _u1011), _u1013))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Union__Un__distrib ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Union__Un__distrib-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1014, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u1014, tc_HOL_Obool), tc_HOL_Obool)), _u1015), _u1016)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1014, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1014, tc_HOL_Obool), _u1015)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1014, tc_HOL_Obool), _u1016))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Pow__Int__eq ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Pow__Int__eq-1, axiom, ( ( hAPP(c_Set_OPow(_u1017), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1017, tc_HOL_Obool)), _u1018), _u1019)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u1017, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u1017), _u1018)), hAPP(c_Set_OPow(_u1017), _u1019))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Inter__Un__distrib ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Inter__Un__distrib-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1020, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u1020, tc_HOL_Obool), tc_HOL_Obool)), _u1021), _u1022)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1020, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1020, tc_HOL_Obool), _u1021)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1020, tc_HOL_Obool), _u1022))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Union__Int__subset ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Union__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1023, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1023, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u1023, tc_HOL_Obool), tc_HOL_Obool)), _u1024), _u1025))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1023, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1023, tc_HOL_Obool), _u1024)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1023, tc_HOL_Obool), _u1025)))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Inter__Un__subset ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Inter__Un__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1026, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1026, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1026, tc_HOL_Obool), _u1027)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1026, tc_HOL_Obool), _u1028))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1026, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u1026, tc_HOL_Obool), tc_HOL_Obool)), _u1027), _u1028)))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Diff__iff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1033), _u1035), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1033, tc_HOL_Obool)), _u1037), _u1039))) | hBOOL(hAPP(hAPP(c_member(_u1033), _u1035), _u1037)) )).
% 12.51/12.68 cnf(fact_Diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1033), _u1035), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1033, tc_HOL_Obool)), _u1037), _u1039))) | ~hBOOL(hAPP(hAPP(c_member(_u1033), _u1035), _u1039)) )).
% 12.51/12.68 cnf(fact_Diff__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1034), _u1036), _u1038)) | hBOOL(hAPP(hAPP(c_member(_u1034), _u1036), _u1040)) | hBOOL(hAPP(hAPP(c_member(_u1034), _u1036), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1034, tc_HOL_Obool)), _u1038), _u1040))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_DiffD1 ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_DiffD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1041), _u1042), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1041, tc_HOL_Obool)), _u1043), _u1044))) | hBOOL(hAPP(hAPP(c_member(_u1041), _u1042), _u1043)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_DiffD2 ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_DiffD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1045), _u1046), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1045, tc_HOL_Obool)), _u1047), _u1048))) | ~hBOOL(hAPP(hAPP(c_member(_u1045), _u1046), _u1048)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Un__iff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Un__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1053), _u1055), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1053, tc_HOL_Obool)), _u1057), _u1059))) | hBOOL(hAPP(hAPP(c_member(_u1053), _u1055), _u1057)) | hBOOL(hAPP(hAPP(c_member(_u1053), _u1055), _u1059)) )).
% 12.51/12.68 cnf(fact_Un__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1054), _u1056), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1054, tc_HOL_Obool)), _u1058), _u1060))) | ~hBOOL(hAPP(hAPP(c_member(_u1054), _u1056), _u1058)) )).
% 12.51/12.68 cnf(fact_Un__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1054), _u1056), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1054, tc_HOL_Obool)), _u1058), _u1060))) | ~hBOOL(hAPP(hAPP(c_member(_u1054), _u1056), _u1060)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_UnI1 ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_UnI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1061), _u1062), _u1063)) | hBOOL(hAPP(hAPP(c_member(_u1061), _u1062), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1061, tc_HOL_Obool)), _u1063), _u1064))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_UnI2 ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_UnI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1065), _u1066), _u1067)) | hBOOL(hAPP(hAPP(c_member(_u1065), _u1066), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1065, tc_HOL_Obool)), _u1068), _u1067))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Int__iff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Int__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1073), _u1075), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1073, tc_HOL_Obool)), _u1077), _u1079))) | hBOOL(hAPP(hAPP(c_member(_u1073), _u1075), _u1077)) )).
% 12.51/12.68 cnf(fact_Int__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1073), _u1075), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1073, tc_HOL_Obool)), _u1077), _u1079))) | hBOOL(hAPP(hAPP(c_member(_u1073), _u1075), _u1079)) )).
% 12.51/12.68 cnf(fact_Int__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1074), _u1076), _u1078)) | ~hBOOL(hAPP(hAPP(c_member(_u1074), _u1076), _u1080)) | hBOOL(hAPP(hAPP(c_member(_u1074), _u1076), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1074, tc_HOL_Obool)), _u1078), _u1080))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_IntD1 ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_IntD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1081), _u1082), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1081, tc_HOL_Obool)), _u1083), _u1084))) | hBOOL(hAPP(hAPP(c_member(_u1081), _u1082), _u1083)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_IntD2 ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_IntD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1085), _u1086), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1085, tc_HOL_Obool)), _u1087), _u1088))) | hBOOL(hAPP(hAPP(c_member(_u1085), _u1086), _u1088)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Diff__cancel ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Diff__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1089, tc_HOL_Obool)), _u1090), _u1090) = c_Orderings_Obot__class_Obot(tc_fun(_u1089, tc_HOL_Obool))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Diff__empty ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Diff__empty-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1091, tc_HOL_Obool)), _u1092), c_Orderings_Obot__class_Obot(tc_fun(_u1091, tc_HOL_Obool))) = _u1092) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_empty__Diff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_empty__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1093, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u1093, tc_HOL_Obool))), _u1094) = c_Orderings_Obot__class_Obot(tc_fun(_u1093, tc_HOL_Obool))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Un__empty ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Un__empty-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1098, tc_HOL_Obool)), _u1100), _u1102) != c_Orderings_Obot__class_Obot(tc_fun(_u1098, tc_HOL_Obool))) | ( _u1100 = c_Orderings_Obot__class_Obot(tc_fun(_u1098, tc_HOL_Obool))) )).
% 12.51/12.68 cnf(fact_Un__empty-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1098, tc_HOL_Obool)), _u1100), _u1102) != c_Orderings_Obot__class_Obot(tc_fun(_u1098, tc_HOL_Obool))) | ( _u1102 = c_Orderings_Obot__class_Obot(tc_fun(_u1098, tc_HOL_Obool))) )).
% 12.51/12.68 cnf(fact_Un__empty-3, axiom, ( ( _u1101 != c_Orderings_Obot__class_Obot(tc_fun(_u1099, tc_HOL_Obool))) | ( _u1103 != c_Orderings_Obot__class_Obot(tc_fun(_u1099, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1099, tc_HOL_Obool)), _u1101), _u1103) = c_Orderings_Obot__class_Obot(tc_fun(_u1099, tc_HOL_Obool))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Un__empty__right ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Un__empty__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1104, tc_HOL_Obool)), _u1105), c_Orderings_Obot__class_Obot(tc_fun(_u1104, tc_HOL_Obool))) = _u1105) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Un__empty__left ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Un__empty__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1106, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u1106, tc_HOL_Obool))), _u1107) = _u1107) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_disjoint__iff__not__equal ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_disjoint__iff__not__equal-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1115, tc_HOL_Obool)), _u1117), _u1119) != c_Orderings_Obot__class_Obot(tc_fun(_u1115, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u1115), _u1109), _u1117)) | ~hBOOL(hAPP(hAPP(c_member(_u1115), _u1108), _u1119)) | ( _u1109 != _u1108) )).
% 12.51/12.68 cnf(fact_disjoint__iff__not__equal-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1116, tc_HOL_Obool)), _u1118), _u1120) = c_Orderings_Obot__class_Obot(tc_fun(_u1116, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1116), skolem39(_u1120, _u1118, _u1116)), _u1118)) )).
% 12.51/12.68 cnf(fact_disjoint__iff__not__equal-3, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1116, tc_HOL_Obool)), _u1118), _u1120) = c_Orderings_Obot__class_Obot(tc_fun(_u1116, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1116), skolem40(_u1120, _u1118, _u1116)), _u1120)) )).
% 12.51/12.68 cnf(fact_disjoint__iff__not__equal-4, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1116, tc_HOL_Obool)), _u1118), _u1120) = c_Orderings_Obot__class_Obot(tc_fun(_u1116, tc_HOL_Obool))) | ( skolem39(_u1120, _u1118, _u1116) = skolem40(_u1120, _u1118, _u1116)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Int__empty__right ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Int__empty__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1121, tc_HOL_Obool)), _u1122), c_Orderings_Obot__class_Obot(tc_fun(_u1121, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u1121, tc_HOL_Obool))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Int__empty__left ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Int__empty__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1123, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u1123, tc_HOL_Obool))), _u1124) = c_Orderings_Obot__class_Obot(tc_fun(_u1123, tc_HOL_Obool))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_double__diff ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_double__diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1125, tc_HOL_Obool)), _u1126), _u1127)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1125, tc_HOL_Obool)), _u1127), _u1128)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1125, tc_HOL_Obool)), _u1127), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1125, tc_HOL_Obool)), _u1128), _u1126)) = _u1126) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Diff__mono ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Diff__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1129, tc_HOL_Obool)), _u1130), _u1131)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1129, tc_HOL_Obool)), _u1132), _u1133)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1129, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1129, tc_HOL_Obool)), _u1130), _u1133)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1129, tc_HOL_Obool)), _u1131), _u1132))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Diff__subset ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1134, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1134, tc_HOL_Obool)), _u1135), _u1136)), _u1135)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Un__insert__left ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Un__insert__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1137, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1137), _u1138), _u1139)), _u1140) = hAPP(hAPP(c_Set_Oinsert(_u1137), _u1138), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1137, tc_HOL_Obool)), _u1139), _u1140))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Un__insert__right ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Un__insert__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1141, tc_HOL_Obool)), _u1142), hAPP(hAPP(c_Set_Oinsert(_u1141), _u1143), _u1144)) = hAPP(hAPP(c_Set_Oinsert(_u1141), _u1143), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1141, tc_HOL_Obool)), _u1142), _u1144))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_insert__inter__insert ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_insert__inter__insert-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1145, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1145), _u1146), _u1147)), hAPP(hAPP(c_Set_Oinsert(_u1145), _u1146), _u1148)) = hAPP(hAPP(c_Set_Oinsert(_u1145), _u1146), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1145, tc_HOL_Obool)), _u1147), _u1148))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Un__mono ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Un__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1149, tc_HOL_Obool)), _u1150), _u1151)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1149, tc_HOL_Obool)), _u1152), _u1153)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1149, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1149, tc_HOL_Obool)), _u1150), _u1152)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1149, tc_HOL_Obool)), _u1151), _u1153))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Un__least ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Un__least-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1154, tc_HOL_Obool)), _u1155), _u1156)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1154, tc_HOL_Obool)), _u1157), _u1156)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1154, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1154, tc_HOL_Obool)), _u1155), _u1157)), _u1156)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Un__absorb2 ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Un__absorb2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1158, tc_HOL_Obool)), _u1159), _u1160)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1158, tc_HOL_Obool)), _u1160), _u1159) = _u1160) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Un__absorb1 ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Un__absorb1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1161, tc_HOL_Obool)), _u1162), _u1163)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1161, tc_HOL_Obool)), _u1162), _u1163) = _u1163) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_subset__Un__eq ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_subset__Un__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1167, tc_HOL_Obool)), _u1169), _u1171)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1167, tc_HOL_Obool)), _u1169), _u1171) = _u1171) )).
% 12.51/12.68 cnf(fact_subset__Un__eq-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1168, tc_HOL_Obool)), _u1170), _u1172) != _u1172) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1168, tc_HOL_Obool)), _u1170), _u1172)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Un__upper2 ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Un__upper2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1173, tc_HOL_Obool)), _u1174), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1173, tc_HOL_Obool)), _u1175), _u1174))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Un__upper1 ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Un__upper1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1176, tc_HOL_Obool)), _u1177), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1176, tc_HOL_Obool)), _u1177), _u1178))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Un__UNIV__right ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Un__UNIV__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1179, tc_HOL_Obool)), _u1180), c_Orderings_Otop__class_Otop(tc_fun(_u1179, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u1179, tc_HOL_Obool))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Un__UNIV__left ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Un__UNIV__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1181, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u1181, tc_HOL_Obool))), _u1182) = c_Orderings_Otop__class_Otop(tc_fun(_u1181, tc_HOL_Obool))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Int__mono ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Int__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1183, tc_HOL_Obool)), _u1184), _u1185)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1183, tc_HOL_Obool)), _u1186), _u1187)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1183, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1183, tc_HOL_Obool)), _u1184), _u1186)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1183, tc_HOL_Obool)), _u1185), _u1187))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Int__greatest ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Int__greatest-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1188, tc_HOL_Obool)), _u1189), _u1190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1188, tc_HOL_Obool)), _u1189), _u1191)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1188, tc_HOL_Obool)), _u1189), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1188, tc_HOL_Obool)), _u1190), _u1191))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Int__absorb1 ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Int__absorb1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1192, tc_HOL_Obool)), _u1193), _u1194)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1192, tc_HOL_Obool)), _u1194), _u1193) = _u1193) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Int__absorb2 ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Int__absorb2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1195, tc_HOL_Obool)), _u1196), _u1197)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1195, tc_HOL_Obool)), _u1196), _u1197) = _u1196) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Int__lower2 ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Int__lower2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1198, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1198, tc_HOL_Obool)), _u1199), _u1200)), _u1200)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Int__lower1 ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Int__lower1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1201, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1201, tc_HOL_Obool)), _u1202), _u1203)), _u1202)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Int__UNIV__right ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Int__UNIV__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1204, tc_HOL_Obool)), _u1205), c_Orderings_Otop__class_Otop(tc_fun(_u1204, tc_HOL_Obool))) = _u1205) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Int__UNIV__left ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Int__UNIV__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1206, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u1206, tc_HOL_Obool))), _u1207) = _u1207) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Un__Pow__subset ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Un__Pow__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u1208, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u1208, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u1208), _u1209)), hAPP(c_Set_OPow(_u1208), _u1210))), hAPP(c_Set_OPow(_u1208), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1208, tc_HOL_Obool)), _u1209), _u1210)))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_insert__Diff1 ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_insert__Diff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1211), _u1212), _u1213)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1211, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1211), _u1212), _u1214)), _u1213) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1211, tc_HOL_Obool)), _u1214), _u1213)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_insert__Diff__if ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_insert__Diff__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1219), _u1221), _u1223)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1219, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1219), _u1221), _u1225)), _u1223) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1219, tc_HOL_Obool)), _u1225), _u1223)) )).
% 12.51/12.68 cnf(fact_insert__Diff__if-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1220), _u1222), _u1224)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1220, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1220), _u1222), _u1226)), _u1224) = hAPP(hAPP(c_Set_Oinsert(_u1220), _u1222), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1220, tc_HOL_Obool)), _u1226), _u1224))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_insert__Diff__single ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_insert__Diff__single-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u1227), _u1228), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1227, tc_HOL_Obool)), _u1229), hAPP(hAPP(c_Set_Oinsert(_u1227), _u1228), c_Orderings_Obot__class_Obot(tc_fun(_u1227, tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(_u1227), _u1228), _u1229)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Diff__insert2 ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Diff__insert2-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1230, tc_HOL_Obool)), _u1231), hAPP(hAPP(c_Set_Oinsert(_u1230), _u1232), _u1233)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1230, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1230, tc_HOL_Obool)), _u1231), hAPP(hAPP(c_Set_Oinsert(_u1230), _u1232), c_Orderings_Obot__class_Obot(tc_fun(_u1230, tc_HOL_Obool))))), _u1233)) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Diff__insert ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Diff__insert-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1234, tc_HOL_Obool)), _u1235), hAPP(hAPP(c_Set_Oinsert(_u1234), _u1236), _u1237)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1234, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1234, tc_HOL_Obool)), _u1235), _u1237)), hAPP(hAPP(c_Set_Oinsert(_u1234), _u1236), c_Orderings_Obot__class_Obot(tc_fun(_u1234, tc_HOL_Obool))))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Int__insert__left__if1 ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Int__insert__left__if1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1238), _u1239), _u1240)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1238, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1238), _u1239), _u1241)), _u1240) = hAPP(hAPP(c_Set_Oinsert(_u1238), _u1239), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1238, tc_HOL_Obool)), _u1241), _u1240))) )).
% 12.51/12.68
% 12.51/12.68 % Formula: fact_Int__insert__right__if1 ( axiom ) converted to clauses:
% 12.51/12.68 cnf(fact_Int__insert__right__if1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1242), _u1243), _u1244)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1242, tc_HOL_Obool)), _u1244), hAPP(hAPP(c_Set_Oinsert(_u1242), _u1243), _u1245)) = hAPP(hAPP(c_Set_Oinsert(_u1242), _u1243), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1242, tc_HOL_Obool)), _u1244), _u1245))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Int__insert__left__if0 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Int__insert__left__if0-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1246), _u1247), _u1248)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1246, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1246), _u1247), _u1249)), _u1248) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1246, tc_HOL_Obool)), _u1249), _u1248)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Int__insert__right__if0 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Int__insert__right__if0-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1250), _u1251), _u1252)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1250, tc_HOL_Obool)), _u1252), hAPP(hAPP(c_Set_Oinsert(_u1250), _u1251), _u1253)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1250, tc_HOL_Obool)), _u1252), _u1253)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Int__insert__left ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Int__insert__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1258), _u1260), _u1262)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1258, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1258), _u1260), _u1264)), _u1262) = hAPP(hAPP(c_Set_Oinsert(_u1258), _u1260), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1258, tc_HOL_Obool)), _u1264), _u1262))) )).
% 12.51/12.69 cnf(fact_Int__insert__left-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1259), _u1261), _u1263)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1259, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1259), _u1261), _u1265)), _u1263) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1259, tc_HOL_Obool)), _u1265), _u1263)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Int__insert__right ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Int__insert__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1270), _u1272), _u1274)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1270, tc_HOL_Obool)), _u1274), hAPP(hAPP(c_Set_Oinsert(_u1270), _u1272), _u1276)) = hAPP(hAPP(c_Set_Oinsert(_u1270), _u1272), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1270, tc_HOL_Obool)), _u1274), _u1276))) )).
% 12.51/12.69 cnf(fact_Int__insert__right-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1271), _u1273), _u1275)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1271, tc_HOL_Obool)), _u1275), hAPP(hAPP(c_Set_Oinsert(_u1271), _u1273), _u1277)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1271, tc_HOL_Obool)), _u1275), _u1277)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Diff__UNIV ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Diff__UNIV-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1278, tc_HOL_Obool)), _u1279), c_Orderings_Otop__class_Otop(tc_fun(_u1278, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u1278, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Sup__insert ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Sup__insert-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1280) | ( c_Complete__Lattice_OSup__class_OSup(_u1280, hAPP(hAPP(c_Set_Oinsert(_u1280), _u1281), _u1282)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1280), _u1281), c_Complete__Lattice_OSup__class_OSup(_u1280, _u1282))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_insert__is__Un ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_insert__is__Un-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u1283), _u1284), _u1285) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1283, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1283), _u1284), c_Orderings_Obot__class_Obot(tc_fun(_u1283, tc_HOL_Obool)))), _u1285)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Inf__insert ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Inf__insert-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1286) | ( c_Complete__Lattice_OInf__class_OInf(_u1286, hAPP(hAPP(c_Set_Oinsert(_u1286), _u1287), _u1288)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1286), _u1287), c_Complete__Lattice_OInf__class_OInf(_u1286, _u1288))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Union__disjoint ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Union__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1294, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1294, tc_HOL_Obool), _u1296)), _u1298) != c_Orderings_Obot__class_Obot(tc_fun(_u1294, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1294, tc_HOL_Obool)), _u1289), _u1296)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1294, tc_HOL_Obool)), _u1289), _u1298) = c_Orderings_Obot__class_Obot(tc_fun(_u1294, tc_HOL_Obool))) )).
% 12.51/12.69 cnf(fact_Union__disjoint-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1295, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1295, tc_HOL_Obool), _u1297)), _u1299) = c_Orderings_Obot__class_Obot(tc_fun(_u1295, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1295, tc_HOL_Obool)), skolem41(_u1299, _u1297, _u1295)), _u1297)) )).
% 12.51/12.69 cnf(fact_Union__disjoint-3, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1295, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1295, tc_HOL_Obool), _u1297)), _u1299) = c_Orderings_Obot__class_Obot(tc_fun(_u1295, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1295, tc_HOL_Obool)), skolem41(_u1299, _u1297, _u1295)), _u1299) != c_Orderings_Obot__class_Obot(tc_fun(_u1295, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ivl__disj__un_I20_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ivl__disj__un_I20_J-1, axiom, ( ~class_Orderings_Olinorder(_u1300) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1300), _u1301), _u1302)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1300), _u1302), _u1303)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1300, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u1300, _u1301, _u1302)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u1300, _u1302, _u1303)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u1300, _u1301, _u1303)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ivl__disj__int_I14_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ivl__disj__int_I14_J-1, axiom, ( ~class_Orderings_Oorder(_u1304) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1304, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u1304, _u1305, _u1306)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u1304, _u1306, _u1307)) = c_Orderings_Obot__class_Obot(tc_fun(_u1304, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Union__insert ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Union__insert-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1308, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u1308, tc_HOL_Obool)), _u1309), _u1310)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1308, tc_HOL_Obool)), _u1309), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1308, tc_HOL_Obool), _u1310))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Inter__insert ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Inter__insert-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1311, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u1311, tc_HOL_Obool)), _u1312), _u1313)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1311, tc_HOL_Obool)), _u1312), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1311, tc_HOL_Obool), _u1313))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Diff__insert__absorb ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Diff__insert__absorb-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1314), _u1315), _u1316)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1314, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1314), _u1315), _u1316)), hAPP(hAPP(c_Set_Oinsert(_u1314), _u1315), c_Orderings_Obot__class_Obot(tc_fun(_u1314, tc_HOL_Obool)))) = _u1316) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_insert__Diff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_insert__Diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1317), _u1318), _u1319)) | ( hAPP(hAPP(c_Set_Oinsert(_u1317), _u1318), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1317, tc_HOL_Obool)), _u1319), hAPP(hAPP(c_Set_Oinsert(_u1317), _u1318), c_Orderings_Obot__class_Obot(tc_fun(_u1317, tc_HOL_Obool))))) = _u1319) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Sup__binary ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Sup__binary-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1320) | ( c_Complete__Lattice_OSup__class_OSup(_u1320, hAPP(hAPP(c_Set_Oinsert(_u1320), _u1321), hAPP(hAPP(c_Set_Oinsert(_u1320), _u1322), c_Orderings_Obot__class_Obot(tc_fun(_u1320, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1320), _u1321), _u1322)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Inf__binary ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Inf__binary-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1323) | ( c_Complete__Lattice_OInf__class_OInf(_u1323, hAPP(hAPP(c_Set_Oinsert(_u1323), _u1324), hAPP(hAPP(c_Set_Oinsert(_u1323), _u1325), c_Orderings_Obot__class_Obot(tc_fun(_u1323, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1323), _u1324), _u1325)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_single__Diff__lessThan ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_single__Diff__lessThan-1, axiom, ( ~class_Orderings_Oorder(_u1326) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1326, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1326), _u1327), c_Orderings_Obot__class_Obot(tc_fun(_u1326, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OlessThan(_u1326), _u1327)) = hAPP(hAPP(c_Set_Oinsert(_u1326), _u1327), c_Orderings_Obot__class_Obot(tc_fun(_u1326, tc_HOL_Obool)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ivl__disj__un_I9_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ivl__disj__un_I9_J-1, axiom, ( ~class_Orderings_Olinorder(_u1328) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1328), _u1329), _u1330)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1328, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u1328), _u1329)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u1328, _u1329, _u1330)) = hAPP(c_SetInterval_Oord__class_OatMost(_u1328), _u1330)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ivl__disj__int_I3_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ivl__disj__int_I3_J-1, axiom, ( ~class_Orderings_Oorder(_u1331) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1331, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u1331), _u1332)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u1331, _u1332, _u1333)) = c_Orderings_Obot__class_Obot(tc_fun(_u1331, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ivl__disj__int_I1_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ivl__disj__int_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u1334) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1334, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u1334), _u1335)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u1334, _u1335, _u1336)) = c_Orderings_Obot__class_Obot(tc_fun(_u1334, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ivl__disj__int_I10_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ivl__disj__int_I10_J-1, axiom, ( ~class_Orderings_Oorder(_u1337) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1337, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u1337, _u1338, _u1339)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u1337, _u1339, _u1340)) = c_Orderings_Obot__class_Obot(tc_fun(_u1337, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_distrib__sup__le ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_distrib__sup__le-1, axiom, ( ~class_Lattices_Olattice(_u1341) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1341), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1341), _u1342), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1341), _u1343), _u1344))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1341), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1341), _u1342), _u1343)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1341), _u1342), _u1344)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_distrib__inf__le ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_distrib__inf__le-1, axiom, ( ~class_Lattices_Olattice(_u1345) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1345), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1345), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1345), _u1346), _u1347)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1345), _u1346), _u1348))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1345), _u1346), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1345), _u1347), _u1348)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_minus__apply ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_minus__apply-1, axiom, ( ~class_Groups_Ominus(_u1349) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1350, _u1349)), _u1351), _u1352), _u1353) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1349), hAPP(_u1351, _u1353)), hAPP(_u1352, _u1353))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__apply ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__apply-1, axiom, ( ~class_Lattices_Olattice(_u1354) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1355, _u1354)), _u1356), _u1357), _u1358) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1354), hAPP(_u1356, _u1358)), hAPP(_u1357, _u1358))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_sup__apply ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_sup__apply-1, axiom, ( ~class_Lattices_Olattice(_u1359) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1360, _u1359)), _u1361), _u1362), _u1363) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1359), hAPP(_u1361, _u1363)), hAPP(_u1362, _u1363))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__top__left ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__top__left-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u1364) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1364), c_Orderings_Otop__class_Otop(_u1364)), _u1365) = _u1365) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__top__right ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__top__right-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u1366) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1366), _u1367), c_Orderings_Otop__class_Otop(_u1366)) = _u1367) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__eq__top__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__eq__top__iff-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u1368) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1368), _u1369), _u1370) != c_Orderings_Otop__class_Otop(_u1368)) | ( _u1369 = c_Orderings_Otop__class_Otop(_u1368)) )).
% 12.51/12.69 cnf(fact_inf__eq__top__iff-2, axiom, ( ~class_Lattices_Obounded__lattice__top(_u1368) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1368), _u1369), _u1370) != c_Orderings_Otop__class_Otop(_u1368)) | ( _u1370 = c_Orderings_Otop__class_Otop(_u1368)) )).
% 12.51/12.69 cnf(fact_inf__eq__top__iff-3, axiom, ( ~class_Lattices_Obounded__lattice__top(_u1368) | ( _u1369 != c_Orderings_Otop__class_Otop(_u1368)) | ( _u1370 != c_Orderings_Otop__class_Otop(_u1368)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1368), _u1369), _u1370) = c_Orderings_Otop__class_Otop(_u1368)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_sup__top__left ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_sup__top__left-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u1371) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1371), c_Orderings_Otop__class_Otop(_u1371)), _u1372) = c_Orderings_Otop__class_Otop(_u1371)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_sup__top__right ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_sup__top__right-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u1373) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1373), _u1374), c_Orderings_Otop__class_Otop(_u1373)) = c_Orderings_Otop__class_Otop(_u1373)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__sup__absorb ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__sup__absorb-1, axiom, ( ~class_Lattices_Olattice(_u1375) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1375), _u1376), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1375), _u1376), _u1377)) = _u1376) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_sup__assoc ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_sup__assoc-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1378) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1378), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1378), _u1379), _u1380)), _u1381) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1378), _u1379), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1378), _u1380), _u1381))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__sup__aci_I6_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__sup__aci_I6_J-1, axiom, ( ~class_Lattices_Olattice(_u1382) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1382), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1382), _u1383), _u1384)), _u1385) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1382), _u1383), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1382), _u1384), _u1385))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_sup_Oassoc ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_sup_Oassoc-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1386) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1386), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1386), _u1387), _u1388)), _u1389) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1386), _u1387), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1386), _u1388), _u1389))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_sup__left__commute ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_sup__left__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1390) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1390), _u1391), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1390), _u1392), _u1393)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1390), _u1392), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1390), _u1391), _u1393))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__sup__aci_I7_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__sup__aci_I7_J-1, axiom, ( ~class_Lattices_Olattice(_u1394) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1394), _u1395), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1394), _u1396), _u1397)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1394), _u1396), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1394), _u1395), _u1397))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_sup_Oleft__commute ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_sup_Oleft__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1398) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1398), _u1399), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1398), _u1400), _u1401)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1398), _u1400), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1398), _u1399), _u1401))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_sup__left__idem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_sup__left__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1402) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1402), _u1403), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1402), _u1403), _u1404)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1402), _u1403), _u1404)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__sup__aci_I8_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__sup__aci_I8_J-1, axiom, ( ~class_Lattices_Olattice(_u1405) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1405), _u1406), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1405), _u1406), _u1407)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1405), _u1406), _u1407)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_sup_Oleft__idem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_sup_Oleft__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1408) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1408), _u1409), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1408), _u1409), _u1410)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1408), _u1409), _u1410)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_sup__commute ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_sup__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1411) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1411), _u1412), _u1413) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1411), _u1413), _u1412)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__sup__aci_I5_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__sup__aci_I5_J-1, axiom, ( ~class_Lattices_Olattice(_u1414) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1414), _u1415), _u1416) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1414), _u1416), _u1415)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_sup_Ocommute ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_sup_Ocommute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1417) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1417), _u1418), _u1419) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1417), _u1419), _u1418)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_sup__idem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_sup__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1420) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1420), _u1421), _u1421) = _u1421) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_sup_Oidem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_sup_Oidem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1422) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1422), _u1423), _u1423) = _u1423) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__assoc ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__assoc-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1424) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1424), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1424), _u1425), _u1426)), _u1427) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1424), _u1425), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1424), _u1426), _u1427))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__sup__aci_I2_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__sup__aci_I2_J-1, axiom, ( ~class_Lattices_Olattice(_u1428) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1428), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1428), _u1429), _u1430)), _u1431) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1428), _u1429), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1428), _u1430), _u1431))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf_Oassoc ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf_Oassoc-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1432) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1432), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1432), _u1433), _u1434)), _u1435) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1432), _u1433), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1432), _u1434), _u1435))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__left__commute ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__left__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1436) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1436), _u1437), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1436), _u1438), _u1439)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1436), _u1438), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1436), _u1437), _u1439))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__sup__aci_I3_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__sup__aci_I3_J-1, axiom, ( ~class_Lattices_Olattice(_u1440) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1440), _u1441), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1440), _u1442), _u1443)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1440), _u1442), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1440), _u1441), _u1443))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf_Oleft__commute ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf_Oleft__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1444) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1444), _u1445), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1444), _u1446), _u1447)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1444), _u1446), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1444), _u1445), _u1447))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__left__idem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__left__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1448) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1448), _u1449), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1448), _u1449), _u1450)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1448), _u1449), _u1450)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__sup__aci_I4_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__sup__aci_I4_J-1, axiom, ( ~class_Lattices_Olattice(_u1451) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1451), _u1452), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1451), _u1452), _u1453)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1451), _u1452), _u1453)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf_Oleft__idem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf_Oleft__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1454) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1454), _u1455), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1454), _u1455), _u1456)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1454), _u1455), _u1456)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__commute ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1457) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1457), _u1458), _u1459) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1457), _u1459), _u1458)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__sup__aci_I1_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__sup__aci_I1_J-1, axiom, ( ~class_Lattices_Olattice(_u1460) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1460), _u1461), _u1462) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1460), _u1462), _u1461)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf_Ocommute ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf_Ocommute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1463) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1463), _u1464), _u1465) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1463), _u1465), _u1464)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__idem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1466) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1466), _u1467), _u1467) = _u1467) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf_Oidem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf_Oidem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1468) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1468), _u1469), _u1469) = _u1469) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_le__supE ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_le__supE-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1470) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1470), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1470), _u1471), _u1472)), _u1473)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1470), _u1471), _u1473)) )).
% 12.51/12.69 cnf(fact_le__supE-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u1470) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1470), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1470), _u1471), _u1472)), _u1473)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1470), _u1472), _u1473)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_sup__mono ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_sup__mono-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1474) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1474), _u1475), _u1476)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1474), _u1477), _u1478)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1474), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1474), _u1475), _u1477)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1474), _u1476), _u1478))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_sup__least ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_sup__least-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1479) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1479), _u1480), _u1481)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1479), _u1482), _u1481)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1479), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1479), _u1480), _u1482)), _u1481)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_le__supI ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_le__supI-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1483) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1483), _u1484), _u1485)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1483), _u1486), _u1485)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1483), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1483), _u1484), _u1486)), _u1485)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_sup__absorb1 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_sup__absorb1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1487) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1487), _u1488), _u1489)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1487), _u1489), _u1488) = _u1489) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_sup__absorb2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_sup__absorb2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1490) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1490), _u1491), _u1492)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1490), _u1491), _u1492) = _u1492) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_le__supI2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_le__supI2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1493) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1493), _u1494), _u1495)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1493), _u1494), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1493), _u1496), _u1495))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_le__supI1 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_le__supI1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1497) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1497), _u1498), _u1499)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1497), _u1498), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1497), _u1499), _u1500))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_le__sup__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_le__sup__iff-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1501), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1501), _u1502), _u1503)), _u1504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1501), _u1502), _u1504)) )).
% 12.51/12.69 cnf(fact_le__sup__iff-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u1501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1501), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1501), _u1502), _u1503)), _u1504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1501), _u1503), _u1504)) )).
% 12.51/12.69 cnf(fact_le__sup__iff-3, axiom, ( ~class_Lattices_Osemilattice__sup(_u1501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1501), _u1502), _u1504)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1501), _u1503), _u1504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1501), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1501), _u1502), _u1503)), _u1504)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_le__iff__sup ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_le__iff__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1505) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1505), _u1506), _u1507)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1505), _u1506), _u1507) = _u1507) )).
% 12.51/12.69 cnf(fact_le__iff__sup-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u1505) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1505), _u1506), _u1507) != _u1507) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1505), _u1506), _u1507)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_sup__ge2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_sup__ge2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1508) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1508), _u1509), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1508), _u1510), _u1509))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__sup__ord_I4_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__sup__ord_I4_J-1, axiom, ( ~class_Lattices_Olattice(_u1511) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1511), _u1512), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1511), _u1513), _u1512))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_sup__ge1 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_sup__ge1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1514) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1514), _u1515), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1514), _u1515), _u1516))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__sup__ord_I3_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__sup__ord_I3_J-1, axiom, ( ~class_Lattices_Olattice(_u1517) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1517), _u1518), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1517), _u1518), _u1519))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_le__infE ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_le__infE-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1520) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1520), _u1521), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1520), _u1522), _u1523))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1520), _u1521), _u1522)) )).
% 12.51/12.69 cnf(fact_le__infE-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u1520) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1520), _u1521), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1520), _u1522), _u1523))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1520), _u1521), _u1523)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__mono ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__mono-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1524) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1524), _u1525), _u1526)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1524), _u1527), _u1528)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1524), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1524), _u1525), _u1527)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1524), _u1526), _u1528))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__greatest ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__greatest-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1529) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1529), _u1530), _u1531)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1529), _u1530), _u1532)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1529), _u1530), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1529), _u1531), _u1532))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_le__infI ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_le__infI-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1533) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1533), _u1534), _u1535)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1533), _u1534), _u1536)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1533), _u1534), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1533), _u1535), _u1536))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__absorb2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__absorb2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1537) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1537), _u1538), _u1539)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1537), _u1539), _u1538) = _u1538) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__absorb1 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__absorb1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1540) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1540), _u1541), _u1542)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1540), _u1541), _u1542) = _u1541) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_le__infI2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_le__infI2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1543) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1543), _u1544), _u1545)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1543), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1543), _u1546), _u1544)), _u1545)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_le__infI1 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_le__infI1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1547) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1547), _u1548), _u1549)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1547), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1547), _u1548), _u1550)), _u1549)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_le__inf__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_le__inf__iff-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1551) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1551), _u1552), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1551), _u1553), _u1554))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1551), _u1552), _u1553)) )).
% 12.51/12.69 cnf(fact_le__inf__iff-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u1551) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1551), _u1552), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1551), _u1553), _u1554))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1551), _u1552), _u1554)) )).
% 12.51/12.69 cnf(fact_le__inf__iff-3, axiom, ( ~class_Lattices_Osemilattice__inf(_u1551) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1551), _u1552), _u1553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1551), _u1552), _u1554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1551), _u1552), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1551), _u1553), _u1554))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_le__iff__inf ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_le__iff__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1555) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1555), _u1556), _u1557)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1555), _u1556), _u1557) = _u1556) )).
% 12.51/12.69 cnf(fact_le__iff__inf-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u1555) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1555), _u1556), _u1557) != _u1556) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1555), _u1556), _u1557)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__le2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__le2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1558) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1558), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1558), _u1559), _u1560)), _u1560)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__sup__ord_I2_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__sup__ord_I2_J-1, axiom, ( ~class_Lattices_Olattice(_u1561) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1561), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1561), _u1562), _u1563)), _u1563)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__le1 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__le1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1564) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1564), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1564), _u1565), _u1566)), _u1565)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__sup__ord_I1_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__sup__ord_I1_J-1, axiom, ( ~class_Lattices_Olattice(_u1567) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1567), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1567), _u1568), _u1569)), _u1568)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_sup__eq__bot__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_sup__eq__bot__iff-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u1570) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1570), _u1571), _u1572) != c_Orderings_Obot__class_Obot(_u1570)) | ( _u1571 = c_Orderings_Obot__class_Obot(_u1570)) )).
% 12.51/12.69 cnf(fact_sup__eq__bot__iff-2, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u1570) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1570), _u1571), _u1572) != c_Orderings_Obot__class_Obot(_u1570)) | ( _u1572 = c_Orderings_Obot__class_Obot(_u1570)) )).
% 12.51/12.69 cnf(fact_sup__eq__bot__iff-3, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u1570) | ( _u1571 != c_Orderings_Obot__class_Obot(_u1570)) | ( _u1572 != c_Orderings_Obot__class_Obot(_u1570)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1570), _u1571), _u1572) = c_Orderings_Obot__class_Obot(_u1570)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_sup__bot__right ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_sup__bot__right-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u1573) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1573), _u1574), c_Orderings_Obot__class_Obot(_u1573)) = _u1574) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_sup__bot__left ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_sup__bot__left-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u1575) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1575), c_Orderings_Obot__class_Obot(_u1575)), _u1576) = _u1576) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__bot__right ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__bot__right-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u1577) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1577), _u1578), c_Orderings_Obot__class_Obot(_u1577)) = c_Orderings_Obot__class_Obot(_u1577)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__bot__left ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__bot__left-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u1579) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1579), c_Orderings_Obot__class_Obot(_u1579)), _u1580) = c_Orderings_Obot__class_Obot(_u1579)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_sup__inf__distrib2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_sup__inf__distrib2-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u1581) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1581), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1581), _u1582), _u1583)), _u1584) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1581), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1581), _u1582), _u1584)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1581), _u1583), _u1584))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__sup__distrib2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__sup__distrib2-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u1585) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1585), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1585), _u1586), _u1587)), _u1588) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1585), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1585), _u1586), _u1588)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1585), _u1587), _u1588))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_sup__inf__distrib1 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_sup__inf__distrib1-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u1589) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1589), _u1590), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1589), _u1591), _u1592)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1589), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1589), _u1590), _u1591)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1589), _u1590), _u1592))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__sup__distrib1 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__sup__distrib1-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u1593) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1593), _u1594), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1593), _u1595), _u1596)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1593), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1593), _u1594), _u1595)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1593), _u1594), _u1596))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_sup__inf__absorb ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_sup__inf__absorb-1, axiom, ( ~class_Lattices_Olattice(_u1597) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1597), _u1598), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1597), _u1598), _u1599)) = _u1598) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_diff__eq__diff__less__eq ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_diff__eq__diff__less__eq-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1600) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1600), _u1601), _u1602) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1600), _u1603), _u1604)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1600), _u1601), _u1602)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1600), _u1603), _u1604)) )).
% 12.51/12.69 cnf(fact_diff__eq__diff__less__eq-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1600) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1600), _u1601), _u1602) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1600), _u1603), _u1604)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1600), _u1603), _u1604)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1600), _u1601), _u1602)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ivl__disj__un_I5_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ivl__disj__un_I5_J-1, axiom, ( ~class_Orderings_Olinorder(_u1605) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1605), _u1606), _u1607)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1605, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1605), _u1606), c_Orderings_Obot__class_Obot(tc_fun(_u1605, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanAtMost(_u1605, _u1606, _u1607)) = c_SetInterval_Oord__class_OatLeastAtMost(_u1605, _u1606, _u1607)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ivl__disj__un_I4_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ivl__disj__un_I4_J-1, axiom, ( ~class_Orderings_Olinorder(_u1608) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1608), _u1609), _u1610)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1608, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u1608, _u1609, _u1610)), hAPP(hAPP(c_Set_Oinsert(_u1608), _u1610), c_Orderings_Obot__class_Obot(tc_fun(_u1608, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u1608, _u1609, _u1610)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ivl__disj__un_I13_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ivl__disj__un_I13_J-1, axiom, ( ~class_Orderings_Olinorder(_u1611) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1611), _u1612), _u1613)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1611, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1611, _u1612, _u1613)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u1611), _u1613)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u1611), _u1612)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_psubset__insert__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_psubset__insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1618, tc_HOL_Obool)), _u1620), hAPP(hAPP(c_Set_Oinsert(_u1618), _u1622), _u1624))) | ~hBOOL(hAPP(hAPP(c_member(_u1618), _u1622), _u1624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1618, tc_HOL_Obool)), _u1620), _u1624)) )).
% 12.51/12.69 cnf(fact_psubset__insert__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1618, tc_HOL_Obool)), _u1620), hAPP(hAPP(c_Set_Oinsert(_u1618), _u1622), _u1624))) | hBOOL(hAPP(hAPP(c_member(_u1618), _u1622), _u1624)) | ~hBOOL(hAPP(hAPP(c_member(_u1618), _u1622), _u1620)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1618, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1618, tc_HOL_Obool)), _u1620), hAPP(hAPP(c_Set_Oinsert(_u1618), _u1622), c_Orderings_Obot__class_Obot(tc_fun(_u1618, tc_HOL_Obool))))), _u1624)) )).
% 12.51/12.69 cnf(fact_psubset__insert__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1618, tc_HOL_Obool)), _u1620), hAPP(hAPP(c_Set_Oinsert(_u1618), _u1622), _u1624))) | hBOOL(hAPP(hAPP(c_member(_u1618), _u1622), _u1624)) | hBOOL(hAPP(hAPP(c_member(_u1618), _u1622), _u1620)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1618, tc_HOL_Obool)), _u1620), _u1624)) )).
% 12.51/12.69 cnf(fact_psubset__insert__iff-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1619, tc_HOL_Obool)), _u1621), hAPP(hAPP(c_Set_Oinsert(_u1619), _u1623), _u1625))) | hBOOL(hAPP(hAPP(c_member(_u1619), _u1623), _u1625)) | hBOOL(hAPP(hAPP(c_member(_u1619), _u1623), _u1621)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1619, tc_HOL_Obool)), _u1621), _u1625)) )).
% 12.51/12.69 cnf(fact_psubset__insert__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1619, tc_HOL_Obool)), _u1621), hAPP(hAPP(c_Set_Oinsert(_u1619), _u1623), _u1625))) | hBOOL(hAPP(hAPP(c_member(_u1619), _u1623), _u1625)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1619, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1619, tc_HOL_Obool)), _u1621), hAPP(hAPP(c_Set_Oinsert(_u1619), _u1623), c_Orderings_Obot__class_Obot(tc_fun(_u1619, tc_HOL_Obool))))), _u1625)) | ~hBOOL(hAPP(hAPP(c_member(_u1619), _u1623), _u1621)) )).
% 12.51/12.69 cnf(fact_psubset__insert__iff-6, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1619, tc_HOL_Obool)), _u1621), hAPP(hAPP(c_Set_Oinsert(_u1619), _u1623), _u1625))) | hBOOL(hAPP(hAPP(c_member(_u1619), _u1623), _u1625)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1619, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1619, tc_HOL_Obool)), _u1621), hAPP(hAPP(c_Set_Oinsert(_u1619), _u1623), c_Orderings_Obot__class_Obot(tc_fun(_u1619, tc_HOL_Obool))))), _u1625)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1619, tc_HOL_Obool)), _u1621), _u1625)) )).
% 12.51/12.69 cnf(fact_psubset__insert__iff-7, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1619, tc_HOL_Obool)), _u1621), hAPP(hAPP(c_Set_Oinsert(_u1619), _u1623), _u1625))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1619, tc_HOL_Obool)), _u1621), _u1625)) | ~hBOOL(hAPP(hAPP(c_member(_u1619), _u1623), _u1625)) )).
% 12.51/12.69 cnf(fact_psubset__insert__iff-8, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1619, tc_HOL_Obool)), _u1621), hAPP(hAPP(c_Set_Oinsert(_u1619), _u1623), _u1625))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1619, tc_HOL_Obool)), _u1621), _u1625)) | hBOOL(hAPP(hAPP(c_member(_u1619), _u1623), _u1621)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1619, tc_HOL_Obool)), _u1621), _u1625)) )).
% 12.51/12.69 cnf(fact_psubset__insert__iff-9, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1619, tc_HOL_Obool)), _u1621), hAPP(hAPP(c_Set_Oinsert(_u1619), _u1623), _u1625))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1619, tc_HOL_Obool)), _u1621), _u1625)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1619, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1619, tc_HOL_Obool)), _u1621), hAPP(hAPP(c_Set_Oinsert(_u1619), _u1623), c_Orderings_Obot__class_Obot(tc_fun(_u1619, tc_HOL_Obool))))), _u1625)) | ~hBOOL(hAPP(hAPP(c_member(_u1619), _u1623), _u1621)) )).
% 12.51/12.69 cnf(fact_psubset__insert__iff-10, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1619, tc_HOL_Obool)), _u1621), hAPP(hAPP(c_Set_Oinsert(_u1619), _u1623), _u1625))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1619, tc_HOL_Obool)), _u1621), _u1625)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1619, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1619, tc_HOL_Obool)), _u1621), hAPP(hAPP(c_Set_Oinsert(_u1619), _u1623), c_Orderings_Obot__class_Obot(tc_fun(_u1619, tc_HOL_Obool))))), _u1625)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1619, tc_HOL_Obool)), _u1621), _u1625)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ivl__disj__un_I10_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ivl__disj__un_I10_J-1, axiom, ( ~class_Orderings_Olinorder(_u1626) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1626), _u1627), _u1628)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1626, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u1626), _u1627)), c_SetInterval_Oord__class_OatLeastAtMost(_u1626, _u1627, _u1628)) = hAPP(c_SetInterval_Oord__class_OatMost(_u1626), _u1628)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Int__Collect__mono ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Int__Collect__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1630, tc_HOL_Obool)), _u1631), _u1632)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1630, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1630, tc_HOL_Obool)), _u1631), hAPP(c_Set_OCollect(_u1630), _u1633))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1630, tc_HOL_Obool)), _u1632), hAPP(c_Set_OCollect(_u1630), _u1634)))) | hBOOL(hAPP(hAPP(c_member(_u1630), skolem42(_u1634, _u1633, _u1632, _u1631, _u1630)), _u1631)) )).
% 12.51/12.69 cnf(fact_Int__Collect__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1630, tc_HOL_Obool)), _u1631), _u1632)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1630, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1630, tc_HOL_Obool)), _u1631), hAPP(c_Set_OCollect(_u1630), _u1633))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1630, tc_HOL_Obool)), _u1632), hAPP(c_Set_OCollect(_u1630), _u1634)))) | hBOOL(hAPP(_u1633, skolem42(_u1634, _u1633, _u1632, _u1631, _u1630))) )).
% 12.51/12.69 cnf(fact_Int__Collect__mono-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1630, tc_HOL_Obool)), _u1631), _u1632)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1630, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1630, tc_HOL_Obool)), _u1631), hAPP(c_Set_OCollect(_u1630), _u1633))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1630, tc_HOL_Obool)), _u1632), hAPP(c_Set_OCollect(_u1630), _u1634)))) | ~hBOOL(hAPP(_u1634, skolem42(_u1634, _u1633, _u1632, _u1631, _u1630))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fold__graph_H_Ointros_I2_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fold__graph_H_Ointros_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1635), _u1636), _u1637)) | ~c_Nitpick_Ofold__graph_H(_u1635, _u1638, _u1639, _u1640, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1635, tc_HOL_Obool)), _u1637), hAPP(hAPP(c_Set_Oinsert(_u1635), _u1636), c_Orderings_Obot__class_Obot(tc_fun(_u1635, tc_HOL_Obool)))), _u1641) | c_Nitpick_Ofold__graph_H(_u1635, _u1638, _u1639, _u1640, _u1637, hAPP(hAPP(_u1639, _u1636), _u1641)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ivl__disj__un_I12_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ivl__disj__un_I12_J-1, axiom, ( ~class_Orderings_Olinorder(_u1642) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1642), _u1643), _u1644)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1642, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u1642, _u1643, _u1644)), hAPP(c_SetInterval_Oord__class_OatLeast(_u1642), _u1644)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u1642), _u1643)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_insert__partition ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_insert__partition-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u1647, tc_HOL_Obool)), _u1648), _u1649)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1647, tc_HOL_Obool)), _u1648), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1647, tc_HOL_Obool), _u1649)) = c_Orderings_Obot__class_Obot(tc_fun(_u1647, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1647, tc_HOL_Obool)), skolem43(_u1649, _u1648, _u1647)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u1647, tc_HOL_Obool)), _u1648), _u1649))) )).
% 12.51/12.69 cnf(fact_insert__partition-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u1647, tc_HOL_Obool)), _u1648), _u1649)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1647, tc_HOL_Obool)), _u1648), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1647, tc_HOL_Obool), _u1649)) = c_Orderings_Obot__class_Obot(tc_fun(_u1647, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1647, tc_HOL_Obool)), skolem44(_u1649, _u1648, _u1647)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u1647, tc_HOL_Obool)), _u1648), _u1649))) )).
% 12.51/12.69 cnf(fact_insert__partition-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u1647, tc_HOL_Obool)), _u1648), _u1649)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1647, tc_HOL_Obool)), _u1648), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1647, tc_HOL_Obool), _u1649)) = c_Orderings_Obot__class_Obot(tc_fun(_u1647, tc_HOL_Obool))) | ( skolem43(_u1649, _u1648, _u1647) != skolem44(_u1649, _u1648, _u1647)) )).
% 12.51/12.69 cnf(fact_insert__partition-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u1647, tc_HOL_Obool)), _u1648), _u1649)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1647, tc_HOL_Obool)), _u1648), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1647, tc_HOL_Obool), _u1649)) = c_Orderings_Obot__class_Obot(tc_fun(_u1647, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1647, tc_HOL_Obool)), skolem43(_u1649, _u1648, _u1647)), skolem44(_u1649, _u1648, _u1647)) != c_Orderings_Obot__class_Obot(tc_fun(_u1647, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_atLeastatMost__psubset__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_atLeastatMost__psubset__iff-1, axiom, ( ~class_Orderings_Oorder(_u1650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1650, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1650, _u1651, _u1652)), c_SetInterval_Oord__class_OatLeastAtMost(_u1650, _u1653, _u1654))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1650), _u1651), _u1652)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1650), _u1653), _u1651)) )).
% 12.51/12.69 cnf(fact_atLeastatMost__psubset__iff-2, axiom, ( ~class_Orderings_Oorder(_u1650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1650, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1650, _u1651, _u1652)), c_SetInterval_Oord__class_OatLeastAtMost(_u1650, _u1653, _u1654))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1650), _u1651), _u1652)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1650), _u1652), _u1654)) )).
% 12.51/12.69 cnf(fact_atLeastatMost__psubset__iff-3, axiom, ( ~class_Orderings_Oorder(_u1650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1650, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1650, _u1651, _u1652)), c_SetInterval_Oord__class_OatLeastAtMost(_u1650, _u1653, _u1654))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1650), _u1651), _u1652)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1650), _u1653), _u1651)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1650), _u1652), _u1654)) )).
% 12.51/12.69 cnf(fact_atLeastatMost__psubset__iff-4, axiom, ( ~class_Orderings_Oorder(_u1650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1650, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1650, _u1651, _u1652)), c_SetInterval_Oord__class_OatLeastAtMost(_u1650, _u1653, _u1654))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1650), _u1653), _u1654)) )).
% 12.51/12.69 cnf(fact_atLeastatMost__psubset__iff-5, axiom, ( ~class_Orderings_Oorder(_u1650) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1650, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1650, _u1651, _u1652)), c_SetInterval_Oord__class_OatLeastAtMost(_u1650, _u1653, _u1654))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1650), _u1653), _u1654)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1650), _u1651), _u1652)) )).
% 12.51/12.69 cnf(fact_atLeastatMost__psubset__iff-6, axiom, ( ~class_Orderings_Oorder(_u1650) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1650, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1650, _u1651, _u1652)), c_SetInterval_Oord__class_OatLeastAtMost(_u1650, _u1653, _u1654))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1650), _u1653), _u1654)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1650), _u1653), _u1651)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1650), _u1652), _u1654)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1650), _u1653), _u1651)) )).
% 12.51/12.69 cnf(fact_atLeastatMost__psubset__iff-7, axiom, ( ~class_Orderings_Oorder(_u1650) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1650, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1650, _u1651, _u1652)), c_SetInterval_Oord__class_OatLeastAtMost(_u1650, _u1653, _u1654))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1650), _u1653), _u1654)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1650), _u1653), _u1651)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1650), _u1652), _u1654)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1650), _u1652), _u1654)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_linorder__cases ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_linorder__cases-1, axiom, ( ~class_Orderings_Olinorder(_u1655) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1655), _u1656), _u1657)) | ( _u1656 = _u1657) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1655), _u1657), _u1656)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_order__less__asym ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_order__less__asym-1, axiom, ( ~class_Orderings_Opreorder(_u1658) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1658), _u1659), _u1660)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1658), _u1660), _u1659)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_xt1_I10_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_xt1_I10_J-1, axiom, ( ~class_Orderings_Oorder(_u1661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1661), _u1662), _u1663)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1661), _u1664), _u1662)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1661), _u1664), _u1663)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_order__less__trans ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_order__less__trans-1, axiom, ( ~class_Orderings_Opreorder(_u1665) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), _u1666), _u1667)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), _u1667), _u1668)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), _u1666), _u1668)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_xt1_I2_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_xt1_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u1669) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), _u1670), _u1671)) | ( _u1670 != _u1672) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), _u1672), _u1671)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ord__less__eq__trans ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ord__less__eq__trans-1, axiom, ( ~class_Orderings_Oord(_u1673) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1673), _u1674), _u1675)) | ( _u1675 != _u1676) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1673), _u1674), _u1676)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_xt1_I1_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_xt1_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u1677) | ( _u1678 != _u1679) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1677), _u1680), _u1679)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1677), _u1680), _u1678)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ord__eq__less__trans ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ord__eq__less__trans-1, axiom, ( ~class_Orderings_Oord(_u1681) | ( _u1682 != _u1683) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1681), _u1683), _u1684)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1681), _u1682), _u1684)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_xt1_I9_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_xt1_I9_J-1, axiom, ( ~class_Orderings_Oorder(_u1685) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1685), _u1686), _u1687)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1685), _u1687), _u1686)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_order__less__asym_H ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_order__less__asym_H-1, axiom, ( ~class_Orderings_Opreorder(_u1688) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1688), _u1689), _u1690)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1688), _u1690), _u1689)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_order__less__imp__not__eq2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_order__less__imp__not__eq2-1, axiom, ( ~class_Orderings_Oorder(_u1691) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1691), _u1692), _u1693)) | ( _u1693 != _u1692) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_order__less__imp__not__eq ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_order__less__imp__not__eq-1, axiom, ( ~class_Orderings_Oorder(_u1694) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1694), _u1695), _u1696)) | ( _u1695 != _u1696) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_order__less__imp__not__less ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_order__less__imp__not__less-1, axiom, ( ~class_Orderings_Opreorder(_u1697) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1697), _u1698), _u1699)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1697), _u1699), _u1698)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_order__less__not__sym ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_order__less__not__sym-1, axiom, ( ~class_Orderings_Opreorder(_u1700) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1700), _u1701), _u1702)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1700), _u1702), _u1701)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_less__imp__neq ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_less__imp__neq-1, axiom, ( ~class_Orderings_Oorder(_u1703) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1703), _u1704), _u1705)) | ( _u1704 != _u1705) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_linorder__neqE ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_linorder__neqE-1, axiom, ( ~class_Orderings_Olinorder(_u1706) | ( _u1707 = _u1708) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1706), _u1707), _u1708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1706), _u1708), _u1707)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_linorder__antisym__conv3 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_linorder__antisym__conv3-1, axiom, ( ~class_Orderings_Olinorder(_u1709) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1709), _u1710), _u1711)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1709), _u1711), _u1710)) | ( _u1711 = _u1710) )).
% 12.51/12.69 cnf(fact_linorder__antisym__conv3-2, axiom, ( ~class_Orderings_Olinorder(_u1709) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1709), _u1710), _u1711)) | ( _u1711 != _u1710) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1709), _u1711), _u1710)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_linorder__less__linear ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_linorder__less__linear-1, axiom, ( ~class_Orderings_Olinorder(_u1712) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1712), _u1713), _u1714)) | ( _u1713 = _u1714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1712), _u1714), _u1713)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_not__less__iff__gr__or__eq ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_not__less__iff__gr__or__eq-1, axiom, ( ~class_Orderings_Olinorder(_u1715) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1715), _u1716), _u1717)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1715), _u1717), _u1716)) | ( _u1716 = _u1717) )).
% 12.51/12.69 cnf(fact_not__less__iff__gr__or__eq-2, axiom, ( ~class_Orderings_Olinorder(_u1715) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1715), _u1716), _u1717)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1715), _u1717), _u1716)) )).
% 12.51/12.69 cnf(fact_not__less__iff__gr__or__eq-3, axiom, ( ~class_Orderings_Olinorder(_u1715) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1715), _u1716), _u1717)) | ( _u1716 != _u1717) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_linorder__neq__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_linorder__neq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u1718) | ( _u1719 = _u1720) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1718), _u1719), _u1720)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1718), _u1720), _u1719)) )).
% 12.51/12.69 cnf(fact_linorder__neq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u1718) | ( _u1719 != _u1720) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1718), _u1719), _u1720)) )).
% 12.51/12.69 cnf(fact_linorder__neq__iff-3, axiom, ( ~class_Orderings_Olinorder(_u1718) | ( _u1719 != _u1720) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1718), _u1720), _u1719)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_order__less__irrefl ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_order__less__irrefl-1, axiom, ( ~class_Orderings_Opreorder(_u1721) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1721), _u1722), _u1722)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_psubset__trans ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_psubset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1723, tc_HOL_Obool)), _u1724), _u1725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1723, tc_HOL_Obool)), _u1725), _u1726)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1723, tc_HOL_Obool)), _u1724), _u1726)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_atLeastatMost__empty ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_atLeastatMost__empty-1, axiom, ( ~class_Orderings_Oorder(_u1727) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1727), _u1728), _u1729)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u1727, _u1729, _u1728) = c_Orderings_Obot__class_Obot(tc_fun(_u1727, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_lessThan__strict__subset__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_lessThan__strict__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u1730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1730, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u1730), _u1731)), hAPP(c_SetInterval_Oord__class_OlessThan(_u1730), _u1732))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1730), _u1731), _u1732)) )).
% 12.51/12.69 cnf(fact_lessThan__strict__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u1730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1730), _u1731), _u1732)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1730, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u1730), _u1731)), hAPP(c_SetInterval_Oord__class_OlessThan(_u1730), _u1732))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_diff__eq__diff__less ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_diff__eq__diff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1733) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1733), _u1734), _u1735) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1733), _u1736), _u1737)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1733), _u1734), _u1735)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1733), _u1736), _u1737)) )).
% 12.51/12.69 cnf(fact_diff__eq__diff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1733) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1733), _u1734), _u1735) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1733), _u1736), _u1737)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1733), _u1736), _u1737)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1733), _u1734), _u1735)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fold__graph_H_Oequations_I1_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fold__graph_H_Oequations_I1_J-1, axiom, ( c_Nitpick_Ofold__graph_H(_u1738, _u1739, _u1740, _u1741, c_Orderings_Obot__class_Obot(tc_fun(_u1738, tc_HOL_Obool)), _u1741) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fold__graph_H_Ointros_I1_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fold__graph_H_Ointros_I1_J-1, axiom, ( c_Nitpick_Ofold__graph_H(_u1742, _u1743, _u1744, _u1745, c_Orderings_Obot__class_Obot(tc_fun(_u1742, tc_HOL_Obool)), _u1745) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_less__fun__def ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_less__fun__def-1, axiom, ( ~class_Orderings_Oord(_u1746) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1747, _u1746)), _u1748), _u1749)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1747, _u1746)), _u1748), _u1749)) )).
% 12.51/12.69 cnf(fact_less__fun__def-2, axiom, ( ~class_Orderings_Oord(_u1746) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1747, _u1746)), _u1748), _u1749)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1747, _u1746)), _u1749), _u1748)) )).
% 12.51/12.69 cnf(fact_less__fun__def-3, axiom, ( ~class_Orderings_Oord(_u1746) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1747, _u1746)), _u1748), _u1749)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1747, _u1746)), _u1749), _u1748)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1747, _u1746)), _u1748), _u1749)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_linorder__not__less ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_linorder__not__less-1, axiom, ( ~class_Orderings_Olinorder(_u1750) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1750), _u1751), _u1752)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1750), _u1752), _u1751)) )).
% 12.51/12.69 cnf(fact_linorder__not__less-2, axiom, ( ~class_Orderings_Olinorder(_u1750) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1750), _u1752), _u1751)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1750), _u1751), _u1752)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_linorder__not__le ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_linorder__not__le-1, axiom, ( ~class_Orderings_Olinorder(_u1753) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1753), _u1754), _u1755)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1753), _u1755), _u1754)) )).
% 12.51/12.69 cnf(fact_linorder__not__le-2, axiom, ( ~class_Orderings_Olinorder(_u1753) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1753), _u1755), _u1754)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1753), _u1754), _u1755)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_linorder__le__less__linear ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_linorder__le__less__linear-1, axiom, ( ~class_Orderings_Olinorder(_u1756) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1756), _u1757), _u1758)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1756), _u1758), _u1757)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_order__less__le ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_order__less__le-1, axiom, ( ~class_Orderings_Oorder(_u1759) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1759), _u1760), _u1761)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1759), _u1760), _u1761)) )).
% 12.51/12.69 cnf(fact_order__less__le-2, axiom, ( ~class_Orderings_Oorder(_u1759) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1759), _u1760), _u1761)) | ( _u1760 != _u1761) )).
% 12.51/12.69 cnf(fact_order__less__le-3, axiom, ( ~class_Orderings_Oorder(_u1759) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1759), _u1760), _u1761)) | ( _u1760 = _u1761) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1759), _u1760), _u1761)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_less__le__not__le ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_less__le__not__le-1, axiom, ( ~class_Orderings_Opreorder(_u1762) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1762), _u1763), _u1764)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1762), _u1763), _u1764)) )).
% 12.51/12.69 cnf(fact_less__le__not__le-2, axiom, ( ~class_Orderings_Opreorder(_u1762) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1762), _u1763), _u1764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1762), _u1764), _u1763)) )).
% 12.51/12.69 cnf(fact_less__le__not__le-3, axiom, ( ~class_Orderings_Opreorder(_u1762) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1762), _u1763), _u1764)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1762), _u1764), _u1763)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1762), _u1763), _u1764)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_order__le__less ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_order__le__less-1, axiom, ( ~class_Orderings_Oorder(_u1765) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1765), _u1766), _u1767)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1765), _u1766), _u1767)) | ( _u1766 = _u1767) )).
% 12.51/12.69 cnf(fact_order__le__less-2, axiom, ( ~class_Orderings_Oorder(_u1765) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1765), _u1766), _u1767)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1765), _u1766), _u1767)) )).
% 12.51/12.69 cnf(fact_order__le__less-3, axiom, ( ~class_Orderings_Oorder(_u1765) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1765), _u1766), _u1767)) | ( _u1766 != _u1767) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_leI ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_leI-1, axiom, ( ~class_Orderings_Olinorder(_u1768) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1768), _u1769), _u1770)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1768), _u1770), _u1769)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_not__leE ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_not__leE-1, axiom, ( ~class_Orderings_Olinorder(_u1771) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1771), _u1772), _u1773)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1771), _u1773), _u1772)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_linorder__antisym__conv1 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_linorder__antisym__conv1-1, axiom, ( ~class_Orderings_Olinorder(_u1774) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1774), _u1775), _u1776)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1774), _u1775), _u1776)) | ( _u1775 = _u1776) )).
% 12.51/12.69 cnf(fact_linorder__antisym__conv1-2, axiom, ( ~class_Orderings_Olinorder(_u1774) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1774), _u1775), _u1776)) | ( _u1775 != _u1776) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1774), _u1775), _u1776)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_order__neq__le__trans ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_order__neq__le__trans-1, axiom, ( ~class_Orderings_Oorder(_u1777) | ( _u1778 = _u1779) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1777), _u1778), _u1779)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1777), _u1778), _u1779)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_xt1_I12_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_xt1_I12_J-1, axiom, ( ~class_Orderings_Oorder(_u1780) | ( _u1781 = _u1782) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1780), _u1782), _u1781)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1780), _u1782), _u1781)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_leD ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_leD-1, axiom, ( ~class_Orderings_Olinorder(_u1783) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1783), _u1784), _u1785)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1783), _u1785), _u1784)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_order__less__imp__le ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_order__less__imp__le-1, axiom, ( ~class_Orderings_Opreorder(_u1786) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1786), _u1787), _u1788)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1786), _u1787), _u1788)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_linorder__antisym__conv2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_linorder__antisym__conv2-1, axiom, ( ~class_Orderings_Olinorder(_u1789) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1789), _u1790), _u1791)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1789), _u1790), _u1791)) | ( _u1790 = _u1791) )).
% 12.51/12.69 cnf(fact_linorder__antisym__conv2-2, axiom, ( ~class_Orderings_Olinorder(_u1789) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1789), _u1790), _u1791)) | ( _u1790 != _u1791) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1789), _u1790), _u1791)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_order__le__imp__less__or__eq ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_order__le__imp__less__or__eq-1, axiom, ( ~class_Orderings_Oorder(_u1792) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1792), _u1793), _u1794)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1792), _u1793), _u1794)) | ( _u1793 = _u1794) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_order__le__neq__trans ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_order__le__neq__trans-1, axiom, ( ~class_Orderings_Oorder(_u1795) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1795), _u1796), _u1797)) | ( _u1796 = _u1797) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1795), _u1796), _u1797)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_xt1_I11_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_xt1_I11_J-1, axiom, ( ~class_Orderings_Oorder(_u1798) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1798), _u1799), _u1800)) | ( _u1800 = _u1799) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1798), _u1799), _u1800)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_order__less__le__trans ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_order__less__le__trans-1, axiom, ( ~class_Orderings_Opreorder(_u1801) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1801), _u1802), _u1803)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1801), _u1803), _u1804)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1801), _u1802), _u1804)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_xt1_I7_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_xt1_I7_J-1, axiom, ( ~class_Orderings_Oorder(_u1805) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1805), _u1806), _u1807)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1805), _u1808), _u1806)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1805), _u1808), _u1807)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_order__le__less__trans ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_order__le__less__trans-1, axiom, ( ~class_Orderings_Opreorder(_u1809) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1809), _u1810), _u1811)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1809), _u1811), _u1812)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1809), _u1810), _u1812)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_xt1_I8_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_xt1_I8_J-1, axiom, ( ~class_Orderings_Oorder(_u1813) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1813), _u1814), _u1815)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1813), _u1816), _u1814)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1813), _u1816), _u1815)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_psubsetD ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_psubsetD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1817, tc_HOL_Obool)), _u1818), _u1819)) | ~hBOOL(hAPP(hAPP(c_member(_u1817), _u1820), _u1818)) | hBOOL(hAPP(hAPP(c_member(_u1817), _u1820), _u1819)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_not__psubset__empty ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_not__psubset__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1821, tc_HOL_Obool)), _u1822), c_Orderings_Obot__class_Obot(tc_fun(_u1821, tc_HOL_Obool)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_less__supI1 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_less__supI1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1823) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1823), _u1824), _u1825)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1823), _u1824), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1823), _u1825), _u1826))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_less__supI2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_less__supI2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1827) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1827), _u1828), _u1829)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1827), _u1828), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1827), _u1830), _u1829))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_less__infI1 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_less__infI1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1831) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1831), _u1832), _u1833)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1831), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1831), _u1832), _u1834)), _u1833)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_less__infI2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_less__infI2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1835) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1835), _u1836), _u1837)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1835), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1835), _u1838), _u1836)), _u1837)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_subset__psubset__trans ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_subset__psubset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1839, tc_HOL_Obool)), _u1840), _u1841)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1839, tc_HOL_Obool)), _u1841), _u1842)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1839, tc_HOL_Obool)), _u1840), _u1842)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_psubset__subset__trans ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_psubset__subset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1843, tc_HOL_Obool)), _u1844), _u1845)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1843, tc_HOL_Obool)), _u1845), _u1846)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1843, tc_HOL_Obool)), _u1844), _u1846)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_psubset__imp__subset ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_psubset__imp__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1847, tc_HOL_Obool)), _u1848), _u1849)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1847, tc_HOL_Obool)), _u1848), _u1849)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_subset__iff__psubset__eq ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_subset__iff__psubset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1853, tc_HOL_Obool)), _u1855), _u1857)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1853, tc_HOL_Obool)), _u1855), _u1857)) | ( _u1855 = _u1857) )).
% 12.51/12.69 cnf(fact_subset__iff__psubset__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1854, tc_HOL_Obool)), _u1856), _u1858)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1854, tc_HOL_Obool)), _u1856), _u1858)) )).
% 12.51/12.69 cnf(fact_subset__iff__psubset__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1854, tc_HOL_Obool)), _u1856), _u1858)) | ( _u1856 != _u1858) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_psubset__eq ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_psubset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1862, tc_HOL_Obool)), _u1864), _u1866)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1862, tc_HOL_Obool)), _u1864), _u1866)) )).
% 12.51/12.69 cnf(fact_psubset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1862, tc_HOL_Obool)), _u1864), _u1866)) | ( _u1864 != _u1866) )).
% 12.51/12.69 cnf(fact_psubset__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1863, tc_HOL_Obool)), _u1865), _u1867)) | ( _u1865 = _u1867) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1863, tc_HOL_Obool)), _u1865), _u1867)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_less__Sup__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_less__Sup__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1870) | ~class_Orderings_Olinorder(_u1870) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1870), _u1871), c_Complete__Lattice_OSup__class_OSup(_u1870, _u1872))) | hBOOL(hAPP(hAPP(c_member(_u1870), skolem45(_u1872, _u1871, _u1870)), _u1872)) )).
% 12.51/12.69 cnf(fact_less__Sup__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1870) | ~class_Orderings_Olinorder(_u1870) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1870), _u1871), c_Complete__Lattice_OSup__class_OSup(_u1870, _u1872))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1870), _u1871), skolem45(_u1872, _u1871, _u1870))) )).
% 12.51/12.69 cnf(fact_less__Sup__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1870) | ~class_Orderings_Olinorder(_u1870) | ~hBOOL(hAPP(hAPP(c_member(_u1870), _u1869), _u1872)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1870), _u1871), _u1869)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1870), _u1871), c_Complete__Lattice_OSup__class_OSup(_u1870, _u1872))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Inf__less__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Inf__less__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1875) | ~class_Orderings_Olinorder(_u1875) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1875), c_Complete__Lattice_OInf__class_OInf(_u1875, _u1876)), _u1877)) | hBOOL(hAPP(hAPP(c_member(_u1875), skolem46(_u1877, _u1876, _u1875)), _u1876)) )).
% 12.51/12.69 cnf(fact_Inf__less__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1875) | ~class_Orderings_Olinorder(_u1875) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1875), c_Complete__Lattice_OInf__class_OInf(_u1875, _u1876)), _u1877)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1875), skolem46(_u1877, _u1876, _u1875)), _u1877)) )).
% 12.51/12.69 cnf(fact_Inf__less__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1875) | ~class_Orderings_Olinorder(_u1875) | ~hBOOL(hAPP(hAPP(c_member(_u1875), _u1874), _u1876)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1875), _u1874), _u1877)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1875), c_Complete__Lattice_OInf__class_OInf(_u1875, _u1876)), _u1877)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_lessThan__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_lessThan__iff-1, axiom, ( ~class_Orderings_Oord(_u1878) | ~hBOOL(hAPP(hAPP(c_member(_u1878), _u1879), hAPP(c_SetInterval_Oord__class_OlessThan(_u1878), _u1880))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), _u1879), _u1880)) )).
% 12.51/12.69 cnf(fact_lessThan__iff-2, axiom, ( ~class_Orderings_Oord(_u1878) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), _u1879), _u1880)) | hBOOL(hAPP(hAPP(c_member(_u1878), _u1879), hAPP(c_SetInterval_Oord__class_OlessThan(_u1878), _u1880))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ivl__disj__un_I19_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ivl__disj__un_I19_J-1, axiom, ( ~class_Orderings_Olinorder(_u1881) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1881), _u1882), _u1883)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1881), _u1883), _u1884)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1881, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u1881, _u1882, _u1883)), c_SetInterval_Oord__class_OatLeastAtMost(_u1881, _u1883, _u1884)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u1881, _u1882, _u1884)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_greaterThanAtMost__empty__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_greaterThanAtMost__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u1885) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u1885, _u1886, _u1887) != c_Orderings_Obot__class_Obot(tc_fun(_u1885, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1885), _u1886), _u1887)) )).
% 12.51/12.69 cnf(fact_greaterThanAtMost__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u1885) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1885), _u1886), _u1887)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u1885, _u1886, _u1887) = c_Orderings_Obot__class_Obot(tc_fun(_u1885, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_greaterThanAtMost__empty__iff2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_greaterThanAtMost__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u1888) | ( c_Orderings_Obot__class_Obot(tc_fun(_u1888, tc_HOL_Obool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(_u1888, _u1889, _u1890)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1888), _u1889), _u1890)) )).
% 12.51/12.69 cnf(fact_greaterThanAtMost__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u1888) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1888), _u1889), _u1890)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u1888, tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u1888, _u1889, _u1890)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_greaterThan__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_greaterThan__iff-1, axiom, ( ~class_Orderings_Oord(_u1891) | ~hBOOL(hAPP(hAPP(c_member(_u1891), _u1892), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u1891), _u1893))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1891), _u1893), _u1892)) )).
% 12.51/12.69 cnf(fact_greaterThan__iff-2, axiom, ( ~class_Orderings_Oord(_u1891) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1891), _u1893), _u1892)) | hBOOL(hAPP(hAPP(c_member(_u1891), _u1892), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u1891), _u1893))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_atLeastatMost__empty__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_atLeastatMost__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u1894) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u1894, _u1895, _u1896) != c_Orderings_Obot__class_Obot(tc_fun(_u1894, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1894), _u1895), _u1896)) )).
% 12.51/12.69 cnf(fact_atLeastatMost__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u1894) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1894), _u1895), _u1896)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u1894, _u1895, _u1896) = c_Orderings_Obot__class_Obot(tc_fun(_u1894, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_atLeastatMost__empty__iff2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_atLeastatMost__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u1897) | ( c_Orderings_Obot__class_Obot(tc_fun(_u1897, tc_HOL_Obool)) != c_SetInterval_Oord__class_OatLeastAtMost(_u1897, _u1898, _u1899)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1897), _u1898), _u1899)) )).
% 12.51/12.69 cnf(fact_atLeastatMost__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u1897) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1897), _u1898), _u1899)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u1897, tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(_u1897, _u1898, _u1899)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_atLeastatMost__subset__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_atLeastatMost__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u1900) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1900, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1900, _u1901, _u1902)), c_SetInterval_Oord__class_OatLeastAtMost(_u1900, _u1903, _u1904))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1900), _u1901), _u1902)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1900), _u1903), _u1901)) )).
% 12.51/12.69 cnf(fact_atLeastatMost__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u1900) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1900, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1900, _u1901, _u1902)), c_SetInterval_Oord__class_OatLeastAtMost(_u1900, _u1903, _u1904))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1900), _u1901), _u1902)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1900), _u1902), _u1904)) )).
% 12.51/12.69 cnf(fact_atLeastatMost__subset__iff-3, axiom, ( ~class_Orderings_Oorder(_u1900) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1900, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1900, _u1901, _u1902)), c_SetInterval_Oord__class_OatLeastAtMost(_u1900, _u1903, _u1904))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1900), _u1901), _u1902)) )).
% 12.51/12.69 cnf(fact_atLeastatMost__subset__iff-4, axiom, ( ~class_Orderings_Oorder(_u1900) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1900, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1900, _u1901, _u1902)), c_SetInterval_Oord__class_OatLeastAtMost(_u1900, _u1903, _u1904))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1900), _u1903), _u1901)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1900), _u1902), _u1904)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_atLeastAtMost__singleton_H ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_atLeastAtMost__singleton_H-1, axiom, ( ~class_Orderings_Oorder(_u1905) | ( _u1906 != _u1907) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u1905, _u1906, _u1907) = hAPP(hAPP(c_Set_Oinsert(_u1905), _u1906), c_Orderings_Obot__class_Obot(tc_fun(_u1905, tc_HOL_Obool)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_atLeastAtMost__singleton__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_atLeastAtMost__singleton__iff-1, axiom, ( ~class_Orderings_Oorder(_u1908) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u1908, _u1909, _u1910) != hAPP(hAPP(c_Set_Oinsert(_u1908), _u1911), c_Orderings_Obot__class_Obot(tc_fun(_u1908, tc_HOL_Obool)))) | ( _u1909 = _u1910) )).
% 12.51/12.69 cnf(fact_atLeastAtMost__singleton__iff-2, axiom, ( ~class_Orderings_Oorder(_u1908) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u1908, _u1909, _u1910) != hAPP(hAPP(c_Set_Oinsert(_u1908), _u1911), c_Orderings_Obot__class_Obot(tc_fun(_u1908, tc_HOL_Obool)))) | ( _u1910 = _u1911) )).
% 12.51/12.69 cnf(fact_atLeastAtMost__singleton__iff-3, axiom, ( ~class_Orderings_Oorder(_u1908) | ( _u1909 != _u1910) | ( _u1910 != _u1911) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u1908, _u1909, _u1910) = hAPP(hAPP(c_Set_Oinsert(_u1908), _u1911), c_Orderings_Obot__class_Obot(tc_fun(_u1908, tc_HOL_Obool)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_atLeastAtMost__singleton ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_atLeastAtMost__singleton-1, axiom, ( ~class_Orderings_Oorder(_u1912) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u1912, _u1913, _u1913) = hAPP(hAPP(c_Set_Oinsert(_u1912), _u1913), c_Orderings_Obot__class_Obot(tc_fun(_u1912, tc_HOL_Obool)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_diff__eq__diff__eq ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_diff__eq__diff__eq-1, axiom, ( ~class_Groups_Oab__group__add(_u1914) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1914), _u1915), _u1916) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1914), _u1917), _u1918)) | ( _u1915 != _u1916) | ( _u1917 = _u1918) )).
% 12.51/12.69 cnf(fact_diff__eq__diff__eq-2, axiom, ( ~class_Groups_Oab__group__add(_u1914) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1914), _u1915), _u1916) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1914), _u1917), _u1918)) | ( _u1917 != _u1918) | ( _u1915 = _u1916) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ivl__disj__un_I22_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ivl__disj__un_I22_J-1, axiom, ( ~class_Orderings_Olinorder(_u1919) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1919), _u1920), _u1921)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1919), _u1921), _u1922)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1919, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1919, _u1920, _u1921)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u1919, _u1921, _u1922)) = c_SetInterval_Oord__class_OatLeastAtMost(_u1919, _u1920, _u1922)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ivl__disj__int_I4_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ivl__disj__int_I4_J-1, axiom, ( ~class_Orderings_Oorder(_u1923) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1923, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u1923), _u1924)), c_SetInterval_Oord__class_OatLeastAtMost(_u1923, _u1924, _u1925)) = c_Orderings_Obot__class_Obot(tc_fun(_u1923, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ivl__disj__int_I16_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ivl__disj__int_I16_J-1, axiom, ( ~class_Orderings_Oorder(_u1926) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1926, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1926, _u1927, _u1928)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u1926, _u1928, _u1929)) = c_Orderings_Obot__class_Obot(tc_fun(_u1926, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ivl__disj__int_I13_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ivl__disj__int_I13_J-1, axiom, ( ~class_Orderings_Oorder(_u1930) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1930, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u1930, _u1931, _u1932)), c_SetInterval_Oord__class_OatLeastAtMost(_u1930, _u1932, _u1933)) = c_Orderings_Obot__class_Obot(tc_fun(_u1930, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ivl__disj__int_I12_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ivl__disj__int_I12_J-1, axiom, ( ~class_Orderings_Oorder(_u1934) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1934, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1934, _u1935, _u1936)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u1934, _u1936, _u1937)) = c_Orderings_Obot__class_Obot(tc_fun(_u1934, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ivl__disj__int_I7_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ivl__disj__int_I7_J-1, axiom, ( ~class_Orderings_Oorder(_u1938) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1938, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1938, _u1939, _u1940)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u1938), _u1940)) = c_Orderings_Obot__class_Obot(tc_fun(_u1938, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ivl__disj__un_I16_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ivl__disj__un_I16_J-1, axiom, ( ~class_Orderings_Olinorder(_u1941) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1941), _u1942), _u1943)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1941), _u1943), _u1944)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1941, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u1941, _u1942, _u1943)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u1941, _u1943, _u1944)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u1941, _u1942, _u1944)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ivl__disj__un_I7_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ivl__disj__un_I7_J-1, axiom, ( ~class_Orderings_Olinorder(_u1945) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1945), _u1946), _u1947)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1945, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u1945), _u1946)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u1945, _u1946, _u1947)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u1945), _u1947)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fold__graph_H_Oequations_I2_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fold__graph_H_Oequations_I2_J-1, axiom, ( ~c_Nitpick_Ofold__graph_H(_u1959, _u1961, _u1963, _u1965, _u1967, hAPP(hAPP(_u1963, _u1969), _u1971)) | ( _u1967 = c_Orderings_Obot__class_Obot(tc_fun(_u1959, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1959), skolem47(_u1971, _u1969, _u1967, _u1965, _u1963, _u1961, _u1959)), _u1967)) )).
% 12.51/12.69 cnf(fact_fold__graph_H_Oequations_I2_J-2, axiom, ( ~c_Nitpick_Ofold__graph_H(_u1959, _u1961, _u1963, _u1965, _u1967, hAPP(hAPP(_u1963, _u1969), _u1971)) | ( _u1967 = c_Orderings_Obot__class_Obot(tc_fun(_u1959, tc_HOL_Obool))) | ( hAPP(hAPP(_u1963, _u1969), _u1971) = hAPP(hAPP(_u1963, skolem47(_u1971, _u1969, _u1967, _u1965, _u1963, _u1961, _u1959)), skolem48(_u1971, _u1969, _u1967, _u1965, _u1963, _u1961, _u1959))) )).
% 12.51/12.69 cnf(fact_fold__graph_H_Oequations_I2_J-3, axiom, ( ~c_Nitpick_Ofold__graph_H(_u1959, _u1961, _u1963, _u1965, _u1967, hAPP(hAPP(_u1963, _u1969), _u1971)) | ( _u1967 = c_Orderings_Obot__class_Obot(tc_fun(_u1959, tc_HOL_Obool))) | c_Nitpick_Ofold__graph_H(_u1959, _u1961, _u1963, _u1965, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1959, tc_HOL_Obool)), _u1967), hAPP(hAPP(c_Set_Oinsert(_u1959), skolem47(_u1971, _u1969, _u1967, _u1965, _u1963, _u1961, _u1959)), c_Orderings_Obot__class_Obot(tc_fun(_u1959, tc_HOL_Obool)))), skolem48(_u1971, _u1969, _u1967, _u1965, _u1963, _u1961, _u1959)) )).
% 12.51/12.69 cnf(fact_fold__graph_H_Oequations_I2_J-4, axiom, ( ~c_Nitpick_Ofold__graph_H(_u1959, _u1961, _u1963, _u1965, _u1967, hAPP(hAPP(_u1963, _u1969), _u1971)) | ( hAPP(hAPP(_u1963, _u1969), _u1971) = _u1965) | hBOOL(hAPP(hAPP(c_member(_u1959), skolem47(_u1971, _u1969, _u1967, _u1965, _u1963, _u1961, _u1959)), _u1967)) )).
% 12.51/12.69 cnf(fact_fold__graph_H_Oequations_I2_J-5, axiom, ( ~c_Nitpick_Ofold__graph_H(_u1959, _u1961, _u1963, _u1965, _u1967, hAPP(hAPP(_u1963, _u1969), _u1971)) | ( hAPP(hAPP(_u1963, _u1969), _u1971) = _u1965) | ( hAPP(hAPP(_u1963, _u1969), _u1971) = hAPP(hAPP(_u1963, skolem47(_u1971, _u1969, _u1967, _u1965, _u1963, _u1961, _u1959)), skolem48(_u1971, _u1969, _u1967, _u1965, _u1963, _u1961, _u1959))) )).
% 12.51/12.69 cnf(fact_fold__graph_H_Oequations_I2_J-6, axiom, ( ~c_Nitpick_Ofold__graph_H(_u1959, _u1961, _u1963, _u1965, _u1967, hAPP(hAPP(_u1963, _u1969), _u1971)) | ( hAPP(hAPP(_u1963, _u1969), _u1971) = _u1965) | c_Nitpick_Ofold__graph_H(_u1959, _u1961, _u1963, _u1965, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1959, tc_HOL_Obool)), _u1967), hAPP(hAPP(c_Set_Oinsert(_u1959), skolem47(_u1971, _u1969, _u1967, _u1965, _u1963, _u1961, _u1959)), c_Orderings_Obot__class_Obot(tc_fun(_u1959, tc_HOL_Obool)))), skolem48(_u1971, _u1969, _u1967, _u1965, _u1963, _u1961, _u1959)) )).
% 12.51/12.69 cnf(fact_fold__graph_H_Oequations_I2_J-7, axiom, ( c_Nitpick_Ofold__graph_H(_u1960, _u1962, _u1964, _u1966, _u1968, hAPP(hAPP(_u1964, _u1970), _u1972)) | ( _u1968 != c_Orderings_Obot__class_Obot(tc_fun(_u1960, tc_HOL_Obool))) | ( hAPP(hAPP(_u1964, _u1970), _u1972) != _u1966) )).
% 12.51/12.69 cnf(fact_fold__graph_H_Oequations_I2_J-8, axiom, ( c_Nitpick_Ofold__graph_H(_u1960, _u1962, _u1964, _u1966, _u1968, hAPP(hAPP(_u1964, _u1970), _u1972)) | ~hBOOL(hAPP(hAPP(c_member(_u1960), _u1951), _u1968)) | ( hAPP(hAPP(_u1964, _u1970), _u1972) != hAPP(hAPP(_u1964, _u1951), _u1950)) | ~c_Nitpick_Ofold__graph_H(_u1960, _u1962, _u1964, _u1966, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1960, tc_HOL_Obool)), _u1968), hAPP(hAPP(c_Set_Oinsert(_u1960), _u1951), c_Orderings_Obot__class_Obot(tc_fun(_u1960, tc_HOL_Obool)))), _u1950) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ivl__disj__un_I18_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ivl__disj__un_I18_J-1, axiom, ( ~class_Orderings_Olinorder(_u1973) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1973), _u1974), _u1975)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1973), _u1975), _u1976)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1973, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1973, _u1974, _u1975)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u1973, _u1975, _u1976)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u1973, _u1974), _u1976)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ivl__disj__un_I3_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ivl__disj__un_I3_J-1, axiom, ( ~class_Orderings_Olinorder(_u1977) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1977), _u1978), _u1979)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1977, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1977), _u1978), c_Orderings_Obot__class_Obot(tc_fun(_u1977, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanLessThan(_u1977, _u1978, _u1979)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u1977, _u1978), _u1979)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ivl__disj__un_I6_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ivl__disj__un_I6_J-1, axiom, ( ~class_Orderings_Olinorder(_u1980) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1980), _u1981), _u1982)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1980, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u1980, _u1981), _u1982)), hAPP(hAPP(c_Set_Oinsert(_u1980), _u1982), c_Orderings_Obot__class_Obot(tc_fun(_u1980, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(_u1980, _u1981, _u1982)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ivl__disj__un_I15_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ivl__disj__un_I15_J-1, axiom, ( ~class_Orderings_Olinorder(_u1983) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1983), _u1984), _u1985)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1983), _u1985), _u1986)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1983, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u1983, _u1984, _u1985)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u1983, _u1985), _u1986)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u1983, _u1984, _u1986)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Diff1__fold__graph ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Diff1__fold__graph-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1987, _u1988, _u1989, _u1990, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1987, tc_HOL_Obool)), _u1991), hAPP(hAPP(c_Set_Oinsert(_u1987), _u1992), c_Orderings_Obot__class_Obot(tc_fun(_u1987, tc_HOL_Obool))))), _u1993)) | ~hBOOL(hAPP(hAPP(c_member(_u1987), _u1992), _u1991)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1987, _u1988, _u1989, _u1990, _u1991), hAPP(hAPP(_u1989, _u1992), _u1993))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_psubset__imp__ex__mem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_psubset__imp__ex__mem-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1995, tc_HOL_Obool)), _u1996), _u1997)) | hBOOL(hAPP(hAPP(c_member(_u1995), skolem49(_u1997, _u1996, _u1995)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1995, tc_HOL_Obool)), _u1997), _u1996))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ivl__disj__int_I8_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ivl__disj__int_I8_J-1, axiom, ( ~class_Orderings_Oorder(_u1998) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1998, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u1998, _u1999), _u2000)), hAPP(c_SetInterval_Oord__class_OatLeast(_u1998), _u2000)) = c_Orderings_Obot__class_Obot(tc_fun(_u1998, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_compl__unique ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_compl__unique-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2001) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2001), _u2002), _u2003) != c_Orderings_Obot__class_Obot(_u2001)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2001), _u2002), _u2003) != c_Orderings_Otop__class_Otop(_u2001)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2001), _u2002) = _u2003) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ivl__disj__un_I14_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ivl__disj__un_I14_J-1, axiom, ( ~class_Orderings_Olinorder(_u2004) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2004), _u2005), _u2006)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2004, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2004, _u2005), _u2006)), hAPP(c_SetInterval_Oord__class_OatLeast(_u2004), _u2006)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u2004), _u2005)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ComplI ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ComplI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2007), _u2008), _u2009)) | hBOOL(hAPP(hAPP(c_member(_u2007), _u2008), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2007, tc_HOL_Obool)), _u2009))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_minus__minus ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_minus__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u2010) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2010), hAPP(c_Groups_Ouminus__class_Ouminus(_u2010), _u2011)) = _u2011) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_equation__minus__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_equation__minus__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u2012) | ( _u2013 != hAPP(c_Groups_Ouminus__class_Ouminus(_u2012), _u2014)) | ( _u2014 = hAPP(c_Groups_Ouminus__class_Ouminus(_u2012), _u2013)) )).
% 12.51/12.69 cnf(fact_equation__minus__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u2012) | ( _u2014 != hAPP(c_Groups_Ouminus__class_Ouminus(_u2012), _u2013)) | ( _u2013 = hAPP(c_Groups_Ouminus__class_Ouminus(_u2012), _u2014)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_minus__equation__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_minus__equation__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u2015) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2015), _u2016) != _u2017) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2015), _u2017) = _u2016) )).
% 12.51/12.69 cnf(fact_minus__equation__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u2015) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2015), _u2017) != _u2016) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2015), _u2016) = _u2017) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_neg__equal__iff__equal ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_neg__equal__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u2018) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2018), _u2019) != hAPP(c_Groups_Ouminus__class_Ouminus(_u2018), _u2020)) | ( _u2019 = _u2020) )).
% 12.51/12.69 cnf(fact_neg__equal__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u2018) | ( _u2019 != _u2020) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2018), _u2019) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2018), _u2020)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_double__compl ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_double__compl-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2021) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2021), hAPP(c_Groups_Ouminus__class_Ouminus(_u2021), _u2022)) = _u2022) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_uminus__apply ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_uminus__apply-1, axiom, ( ~class_Groups_Ouminus(_u2023) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2024, _u2023)), _u2025), _u2026) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2023), hAPP(_u2025, _u2026))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_compl__eq__compl__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_compl__eq__compl__iff-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2027) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2027), _u2028) != hAPP(c_Groups_Ouminus__class_Ouminus(_u2027), _u2029)) | ( _u2028 = _u2029) )).
% 12.51/12.69 cnf(fact_compl__eq__compl__iff-2, axiom, ( ~class_Lattices_Oboolean__algebra(_u2027) | ( _u2028 != _u2029) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2027), _u2028) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2027), _u2029)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_compl__mono ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_compl__mono-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2030) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2030), _u2031), _u2032)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2030), hAPP(c_Groups_Ouminus__class_Ouminus(_u2030), _u2032)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2030), _u2031))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_compl__le__compl__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_compl__le__compl__iff-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2033) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2033), hAPP(c_Groups_Ouminus__class_Ouminus(_u2033), _u2034)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2033), _u2035))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2033), _u2035), _u2034)) )).
% 12.51/12.69 cnf(fact_compl__le__compl__iff-2, axiom, ( ~class_Lattices_Oboolean__algebra(_u2033) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2033), _u2035), _u2034)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2033), hAPP(c_Groups_Ouminus__class_Ouminus(_u2033), _u2034)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2033), _u2035))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_le__imp__neg__le ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_le__imp__neg__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2036) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2036), _u2037), _u2038)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2036), hAPP(c_Groups_Ouminus__class_Ouminus(_u2036), _u2038)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2036), _u2037))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_neg__le__iff__le ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_neg__le__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2039) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2039), hAPP(c_Groups_Ouminus__class_Ouminus(_u2039), _u2040)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2039), _u2041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2039), _u2041), _u2040)) )).
% 12.51/12.69 cnf(fact_neg__le__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2039) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2039), _u2041), _u2040)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2039), hAPP(c_Groups_Ouminus__class_Ouminus(_u2039), _u2040)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2039), _u2041))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_minus__le__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_minus__le__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2042) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2042), hAPP(c_Groups_Ouminus__class_Ouminus(_u2042), _u2043)), _u2044)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2042), hAPP(c_Groups_Ouminus__class_Ouminus(_u2042), _u2044)), _u2043)) )).
% 12.51/12.69 cnf(fact_minus__le__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2042) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2042), hAPP(c_Groups_Ouminus__class_Ouminus(_u2042), _u2044)), _u2043)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2042), hAPP(c_Groups_Ouminus__class_Ouminus(_u2042), _u2043)), _u2044)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_le__minus__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_le__minus__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2045) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2045), _u2046), hAPP(c_Groups_Ouminus__class_Ouminus(_u2045), _u2047))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2045), _u2047), hAPP(c_Groups_Ouminus__class_Ouminus(_u2045), _u2046))) )).
% 12.51/12.69 cnf(fact_le__minus__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2045) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2045), _u2047), hAPP(c_Groups_Ouminus__class_Ouminus(_u2045), _u2046))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2045), _u2046), hAPP(c_Groups_Ouminus__class_Ouminus(_u2045), _u2047))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_neg__less__iff__less ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_neg__less__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2048) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2048), hAPP(c_Groups_Ouminus__class_Ouminus(_u2048), _u2049)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2048), _u2050))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2048), _u2050), _u2049)) )).
% 12.51/12.69 cnf(fact_neg__less__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2048) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2048), _u2050), _u2049)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2048), hAPP(c_Groups_Ouminus__class_Ouminus(_u2048), _u2049)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2048), _u2050))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_minus__less__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_minus__less__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2051) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2051), hAPP(c_Groups_Ouminus__class_Ouminus(_u2051), _u2052)), _u2053)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2051), hAPP(c_Groups_Ouminus__class_Ouminus(_u2051), _u2053)), _u2052)) )).
% 12.51/12.69 cnf(fact_minus__less__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2051) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2051), hAPP(c_Groups_Ouminus__class_Ouminus(_u2051), _u2053)), _u2052)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2051), hAPP(c_Groups_Ouminus__class_Ouminus(_u2051), _u2052)), _u2053)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_less__minus__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_less__minus__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2054) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2054), _u2055), hAPP(c_Groups_Ouminus__class_Ouminus(_u2054), _u2056))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2054), _u2056), hAPP(c_Groups_Ouminus__class_Ouminus(_u2054), _u2055))) )).
% 12.51/12.69 cnf(fact_less__minus__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2054) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2054), _u2056), hAPP(c_Groups_Ouminus__class_Ouminus(_u2054), _u2055))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2054), _u2055), hAPP(c_Groups_Ouminus__class_Ouminus(_u2054), _u2056))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ComplE ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ComplE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2057), _u2058), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2057, tc_HOL_Obool)), _u2059))) | ~hBOOL(hAPP(hAPP(c_member(_u2057), _u2058), _u2059)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ComplD ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ComplD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2060), _u2061), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2060, tc_HOL_Obool)), _u2062))) | ~hBOOL(hAPP(hAPP(c_member(_u2060), _u2061), _u2062)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Compl__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Compl__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2066), _u2068), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2066, tc_HOL_Obool)), _u2070))) | ~hBOOL(hAPP(hAPP(c_member(_u2066), _u2068), _u2070)) )).
% 12.51/12.69 cnf(fact_Compl__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2067), _u2069), _u2071)) | hBOOL(hAPP(hAPP(c_member(_u2067), _u2069), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2067, tc_HOL_Obool)), _u2071))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_minus__diff__eq ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_minus__diff__eq-1, axiom, ( ~class_Groups_Oab__group__add(_u2072) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2072), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2072), _u2073), _u2074)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2072), _u2074), _u2073)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Compl__subset__Compl__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Compl__subset__Compl__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2078, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2078, tc_HOL_Obool)), _u2080)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2078, tc_HOL_Obool)), _u2082))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2078, tc_HOL_Obool)), _u2082), _u2080)) )).
% 12.51/12.69 cnf(fact_Compl__subset__Compl__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2079, tc_HOL_Obool)), _u2083), _u2081)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2079, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2079, tc_HOL_Obool)), _u2081)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2079, tc_HOL_Obool)), _u2083))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Compl__anti__mono ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Compl__anti__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2084, tc_HOL_Obool)), _u2085), _u2086)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2084, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2084, tc_HOL_Obool)), _u2086)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2084, tc_HOL_Obool)), _u2085))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_atLeastLessThan__eq__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_atLeastLessThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u2087) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2087), _u2088), _u2089)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2087), _u2090), _u2091)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2087, _u2088), _u2089) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2087, _u2090), _u2091)) | ( _u2088 = _u2090) )).
% 12.51/12.69 cnf(fact_atLeastLessThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u2087) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2087), _u2088), _u2089)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2087), _u2090), _u2091)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2087, _u2088), _u2089) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2087, _u2090), _u2091)) | ( _u2089 = _u2091) )).
% 12.51/12.69 cnf(fact_atLeastLessThan__eq__iff-3, axiom, ( ~class_Orderings_Olinorder(_u2087) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2087), _u2088), _u2089)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2087), _u2090), _u2091)) | ( _u2088 != _u2090) | ( _u2089 != _u2091) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2087, _u2088), _u2089) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2087, _u2090), _u2091)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_atLeastLessThan__inj_I1_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_atLeastLessThan__inj_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u2092) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2092, _u2093), _u2094) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2092, _u2095), _u2096)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2092), _u2093), _u2094)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2092), _u2095), _u2096)) | ( _u2093 = _u2095) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_atLeastLessThan__inj_I2_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_atLeastLessThan__inj_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u2097) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2097, _u2098), _u2099) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2097, _u2100), _u2101)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2097), _u2098), _u2099)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2097), _u2100), _u2101)) | ( _u2099 = _u2101) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_empty__fold__graphE ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_empty__fold__graphE-1, axiom, ( ( _u2106 = _u2105) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2102, _u2103, _u2104, _u2105, c_Orderings_Obot__class_Obot(tc_fun(_u2102, tc_HOL_Obool))), _u2106)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fold__graph_OemptyI ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fold__graph_OemptyI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2107, _u2108, _u2109, _u2110, c_Orderings_Obot__class_Obot(tc_fun(_u2107, tc_HOL_Obool))), _u2110)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fold__graph_Oequations_I1_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fold__graph_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2111, _u2112, _u2113, _u2114, c_Orderings_Obot__class_Obot(tc_fun(_u2111, tc_HOL_Obool))), _u2114)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_compl__inf__bot ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_compl__inf__bot-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2115) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2115), hAPP(c_Groups_Ouminus__class_Ouminus(_u2115), _u2116)), _u2116) = c_Orderings_Obot__class_Obot(_u2115)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__compl__bot ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__compl__bot-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2117) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2117), _u2118), hAPP(c_Groups_Ouminus__class_Ouminus(_u2117), _u2118)) = c_Orderings_Obot__class_Obot(_u2117)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_diff__eq ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_diff__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2119) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2119), _u2120), _u2121) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2119), _u2120), hAPP(c_Groups_Ouminus__class_Ouminus(_u2119), _u2121))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_compl__top__eq ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_compl__top__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2122) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2122), c_Orderings_Otop__class_Otop(_u2122)) = c_Orderings_Obot__class_Obot(_u2122)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_compl__bot__eq ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_compl__bot__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2123) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2123), c_Orderings_Obot__class_Obot(_u2123)) = c_Orderings_Otop__class_Otop(_u2123)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_compl__sup ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_compl__sup-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2124) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2124), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2124), _u2125), _u2126)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2124), hAPP(c_Groups_Ouminus__class_Ouminus(_u2124), _u2125)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2124), _u2126))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_compl__inf ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_compl__inf-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2127) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2127), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2127), _u2128), _u2129)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2127), hAPP(c_Groups_Ouminus__class_Ouminus(_u2127), _u2128)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2127), _u2129))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_compl__sup__top ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_compl__sup__top-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2130) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2130), hAPP(c_Groups_Ouminus__class_Ouminus(_u2130), _u2131)), _u2131) = c_Orderings_Otop__class_Otop(_u2130)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_sup__compl__top ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_sup__compl__top-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2132) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2132), _u2133), hAPP(c_Groups_Ouminus__class_Ouminus(_u2132), _u2133)) = c_Orderings_Otop__class_Otop(_u2132)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_subset__Compl__self__eq ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_subset__Compl__self__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2136, tc_HOL_Obool)), _u2138), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2136, tc_HOL_Obool)), _u2138))) | ( _u2138 = c_Orderings_Obot__class_Obot(tc_fun(_u2136, tc_HOL_Obool))) )).
% 12.51/12.69 cnf(fact_subset__Compl__self__eq-2, axiom, ( ( _u2139 != c_Orderings_Obot__class_Obot(tc_fun(_u2137, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2137, tc_HOL_Obool)), _u2139), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2137, tc_HOL_Obool)), _u2139))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Compl__empty__eq ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Compl__empty__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2140, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u2140, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u2140, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Compl__UNIV__eq ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Compl__UNIV__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2141, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u2141, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u2141, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Compl__disjoint ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Compl__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2142, tc_HOL_Obool)), _u2143), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2142, tc_HOL_Obool)), _u2143)) = c_Orderings_Obot__class_Obot(tc_fun(_u2142, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Compl__disjoint2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Compl__disjoint2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2144, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2144, tc_HOL_Obool)), _u2145)), _u2145) = c_Orderings_Obot__class_Obot(tc_fun(_u2144, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Compl__partition ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Compl__partition-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2146, tc_HOL_Obool)), _u2147), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2146, tc_HOL_Obool)), _u2147)) = c_Orderings_Otop__class_Otop(tc_fun(_u2146, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Compl__partition2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Compl__partition2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2148, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2148, tc_HOL_Obool)), _u2149)), _u2149) = c_Orderings_Otop__class_Otop(tc_fun(_u2148, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Compl__Int ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Compl__Int-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2150, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2150, tc_HOL_Obool)), _u2151), _u2152)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2150, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2150, tc_HOL_Obool)), _u2151)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2150, tc_HOL_Obool)), _u2152))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Compl__Un ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Compl__Un-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2153, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2153, tc_HOL_Obool)), _u2154), _u2155)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2153, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2153, tc_HOL_Obool)), _u2154)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2153, tc_HOL_Obool)), _u2155))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Compl__eq__Diff__UNIV ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Compl__eq__Diff__UNIV-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2156, tc_HOL_Obool)), _u2157) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2156, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u2156, tc_HOL_Obool))), _u2157)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Compl__Diff__eq ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Compl__Diff__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2158, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2158, tc_HOL_Obool)), _u2159), _u2160)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2158, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2158, tc_HOL_Obool)), _u2159)), _u2160)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Diff__eq ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Diff__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2161, tc_HOL_Obool)), _u2162), _u2163) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2161, tc_HOL_Obool)), _u2162), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2161, tc_HOL_Obool)), _u2163))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Diff__Compl ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Diff__Compl-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2164, tc_HOL_Obool)), _u2165), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2164, tc_HOL_Obool)), _u2166)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2164, tc_HOL_Obool)), _u2165), _u2166)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Compl__atLeast ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Compl__atLeast-1, axiom, ( ~class_Orderings_Olinorder(_u2167) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2167, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u2167), _u2168)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u2167), _u2168)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Compl__lessThan ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Compl__lessThan-1, axiom, ( ~class_Orderings_Olinorder(_u2169) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2169, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u2169), _u2170)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u2169), _u2170)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_atLeastLessThan__empty ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_atLeastLessThan__empty-1, axiom, ( ~class_Orderings_Oorder(_u2171) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2171), _u2172), _u2173)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2171, _u2173), _u2172) = c_Orderings_Obot__class_Obot(tc_fun(_u2171, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_atLeastLessThan__empty__iff2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_atLeastLessThan__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u2174) | ( c_Orderings_Obot__class_Obot(tc_fun(_u2174, tc_HOL_Obool)) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2174, _u2175), _u2176)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2174), _u2175), _u2176)) )).
% 12.51/12.69 cnf(fact_atLeastLessThan__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u2174) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2174), _u2175), _u2176)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u2174, tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2174, _u2175), _u2176)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_atLeastLessThan__empty__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_atLeastLessThan__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u2177) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2177, _u2178), _u2179) != c_Orderings_Obot__class_Obot(tc_fun(_u2177, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2177), _u2178), _u2179)) )).
% 12.51/12.69 cnf(fact_atLeastLessThan__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u2177) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2177), _u2178), _u2179)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2177, _u2178), _u2179) = c_Orderings_Obot__class_Obot(tc_fun(_u2177, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Compl__atMost ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Compl__atMost-1, axiom, ( ~class_Orderings_Olinorder(_u2180) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2180, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u2180), _u2181)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u2180), _u2181)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Compl__greaterThan ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Compl__greaterThan-1, axiom, ( ~class_Orderings_Olinorder(_u2182) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2182, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u2182), _u2183)) = hAPP(c_SetInterval_Oord__class_OatMost(_u2182), _u2183)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_atLeastLessThan__subset__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_atLeastLessThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u2184) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2184, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2184, _u2185), _u2186)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2184, _u2187), _u2188))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2184), _u2186), _u2185)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2184), _u2187), _u2185)) )).
% 12.51/12.69 cnf(fact_atLeastLessThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u2184) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2184, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2184, _u2185), _u2186)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2184, _u2187), _u2188))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2184), _u2186), _u2185)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2184), _u2186), _u2188)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ivl__disj__un_I17_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ivl__disj__un_I17_J-1, axiom, ( ~class_Orderings_Olinorder(_u2189) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2189), _u2190), _u2191)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2189), _u2191), _u2192)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2189, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2189, _u2190), _u2191)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2189, _u2191), _u2192)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2189, _u2190), _u2192)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fold__graph_OinsertI ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fold__graph_OinsertI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2193), _u2194), _u2195)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2193, _u2196, _u2197, _u2198, _u2195), _u2199)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2193, _u2196, _u2197, _u2198, hAPP(hAPP(c_Set_Oinsert(_u2193), _u2194), _u2195)), hAPP(hAPP(_u2197, _u2194), _u2199))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ivl__diff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ivl__diff-1, axiom, ( ~class_Orderings_Olinorder(_u2200) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2200), _u2201), _u2202)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2200, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2200, _u2201), _u2203)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2200, _u2201), _u2202)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2200, _u2202), _u2203)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ivl__disj__int_I11_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ivl__disj__int_I11_J-1, axiom, ( ~class_Orderings_Oorder(_u2204) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2204, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2204, _u2205), _u2206)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2204, _u2206), _u2207)) = c_Orderings_Obot__class_Obot(tc_fun(_u2204, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_disjoint__eq__subset__Compl ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_disjoint__eq__subset__Compl-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2211, tc_HOL_Obool)), _u2213), _u2215) != c_Orderings_Obot__class_Obot(tc_fun(_u2211, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2211, tc_HOL_Obool)), _u2213), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2211, tc_HOL_Obool)), _u2215))) )).
% 12.51/12.69 cnf(fact_disjoint__eq__subset__Compl-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2212, tc_HOL_Obool)), _u2214), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2212, tc_HOL_Obool)), _u2216))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2212, tc_HOL_Obool)), _u2214), _u2216) = c_Orderings_Obot__class_Obot(tc_fun(_u2212, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ivl__disj__un_I21_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ivl__disj__un_I21_J-1, axiom, ( ~class_Orderings_Olinorder(_u2217) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2217), _u2218), _u2219)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2217), _u2219), _u2220)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2217, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2217, _u2218), _u2219)), c_SetInterval_Oord__class_OatLeastAtMost(_u2217, _u2219, _u2220)) = c_SetInterval_Oord__class_OatLeastAtMost(_u2217, _u2218, _u2220)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ivl__disj__int_I15_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ivl__disj__int_I15_J-1, axiom, ( ~class_Orderings_Oorder(_u2221) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2221, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2221, _u2222), _u2223)), c_SetInterval_Oord__class_OatLeastAtMost(_u2221, _u2223, _u2224)) = c_Orderings_Obot__class_Obot(tc_fun(_u2221, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ivl__disj__un_I8_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ivl__disj__un_I8_J-1, axiom, ( ~class_Orderings_Olinorder(_u2225) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2225), _u2226), _u2227)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2225, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u2225), _u2226)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2225, _u2226), _u2227)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u2225), _u2227)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ivl__disj__int_I2_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ivl__disj__int_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u2228) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2228, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u2228), _u2229)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2228, _u2229), _u2230)) = c_Orderings_Obot__class_Obot(tc_fun(_u2228, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ivl__disj__int_I9_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ivl__disj__int_I9_J-1, axiom, ( ~class_Orderings_Oorder(_u2231) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2231, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u2231, _u2232, _u2233)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2231, _u2233), _u2234)) = c_Orderings_Obot__class_Obot(tc_fun(_u2231, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fold1Set_Ointros ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fold1Set_Ointros-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2235, _u2235, _u2236, _u2237, _u2238), _u2239)) | hBOOL(hAPP(hAPP(c_member(_u2235), _u2237), _u2238)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u2235, _u2236, hAPP(hAPP(c_Set_Oinsert(_u2235), _u2237), _u2238)), _u2239)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fold__graph__permute__diff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fold__graph__permute__diff-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u2240) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2240, _u2240, c_Groups_Otimes__class_Otimes(_u2240), _u2241, _u2242), _u2243)) | ~hBOOL(hAPP(hAPP(c_member(_u2240), _u2244), _u2242)) | hBOOL(hAPP(hAPP(c_member(_u2240), _u2241), _u2242)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2240, _u2240, c_Groups_Otimes__class_Otimes(_u2240), _u2244, hAPP(hAPP(c_Set_Oinsert(_u2240), _u2241), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2240, tc_HOL_Obool)), _u2242), hAPP(hAPP(c_Set_Oinsert(_u2240), _u2244), c_Orderings_Obot__class_Obot(tc_fun(_u2240, tc_HOL_Obool)))))), _u2243)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_folding__one_Osingleton ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_folding__one_Osingleton-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u2245, _u2246, _u2247) | ( hAPP(_u2247, hAPP(hAPP(c_Set_Oinsert(_u2245), _u2248), c_Orderings_Obot__class_Obot(tc_fun(_u2245, tc_HOL_Obool)))) = _u2248) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fold1Set__sing ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fold1Set__sing-1, axiom, ( ( _u2257 = _u2259) | ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u2253, _u2255, hAPP(hAPP(c_Set_Oinsert(_u2253), _u2257), c_Orderings_Obot__class_Obot(tc_fun(_u2253, tc_HOL_Obool)))), _u2259)) )).
% 12.51/12.69 cnf(fact_fold1Set__sing-2, axiom, ( ( _u2258 != _u2260) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u2254, _u2256, hAPP(hAPP(c_Set_Oinsert(_u2254), _u2258), c_Orderings_Obot__class_Obot(tc_fun(_u2254, tc_HOL_Obool)))), _u2260)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_nonempty__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_nonempty__iff-1, axiom, ( ( _u2267 = c_Orderings_Obot__class_Obot(tc_fun(_u2269, tc_HOL_Obool))) | ( _u2267 = hAPP(hAPP(c_Set_Oinsert(_u2269), skolem50(_u2269, _u2267)), skolem51(_u2269, _u2267))) )).
% 12.51/12.69 cnf(fact_nonempty__iff-2, axiom, ( ( _u2267 = c_Orderings_Obot__class_Obot(tc_fun(_u2269, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2269), skolem50(_u2269, _u2267)), skolem51(_u2269, _u2267))) )).
% 12.51/12.69 cnf(fact_nonempty__iff-3, axiom, ( ( _u2268 != hAPP(hAPP(c_Set_Oinsert(_u2270), _u2264), _u2263)) | hBOOL(hAPP(hAPP(c_member(_u2270), _u2264), _u2263)) | ( _u2268 != c_Orderings_Obot__class_Obot(tc_fun(_u2270, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Pow__insert ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Pow__insert-1, axiom, ( ( hAPP(c_Set_OPow(_u2271), hAPP(hAPP(c_Set_Oinsert(_u2271), _u2272), _u2273)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u2271, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u2271), _u2273)), hAPP(c_Set_Oimage(tc_fun(_u2271, tc_HOL_Obool), tc_fun(_u2271, tc_HOL_Obool), hAPP(c_Set_Oinsert(_u2271), _u2272)), hAPP(c_Set_OPow(_u2271), _u2273)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fun__left__comm_Ofold__graph__insertE__aux ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fun__left__comm_Ofold__graph__insertE__aux-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u2275, _u2276, _u2277) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2275, _u2276, _u2277, _u2278, _u2279), _u2280)) | ~hBOOL(hAPP(hAPP(c_member(_u2275), _u2281), _u2279)) | ( _u2280 = hAPP(hAPP(_u2277, _u2281), skolem52(_u2281, _u2280, _u2279, _u2278, _u2277, _u2276, _u2275))) )).
% 12.51/12.69 cnf(fact_fun__left__comm_Ofold__graph__insertE__aux-2, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u2275, _u2276, _u2277) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2275, _u2276, _u2277, _u2278, _u2279), _u2280)) | ~hBOOL(hAPP(hAPP(c_member(_u2275), _u2281), _u2279)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2275, _u2276, _u2277, _u2278, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2275, tc_HOL_Obool)), _u2279), hAPP(hAPP(c_Set_Oinsert(_u2275), _u2281), c_Orderings_Obot__class_Obot(tc_fun(_u2275, tc_HOL_Obool))))), skolem52(_u2281, _u2280, _u2279, _u2278, _u2277, _u2276, _u2275))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Inf__fin_Oidem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Inf__fin_Oidem-1, axiom, ( ~class_Lattices_Olattice(_u2282) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2282), _u2283), _u2283) = _u2283) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Sup__fin_Oidem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Sup__fin_Oidem-1, axiom, ( ~class_Lattices_Olattice(_u2284) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2284), _u2285), _u2285) = _u2285) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_linorder__neqE__linordered__idom ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_linorder__neqE__linordered__idom-1, axiom, ( ~class_Rings_Olinordered__idom(_u2286) | ( _u2287 = _u2288) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2286), _u2287), _u2288)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2286), _u2288), _u2287)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_image__eqI ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_image__eqI-1, axiom, ( ( _u2289 != hAPP(_u2290, _u2291)) | ~hBOOL(hAPP(hAPP(c_member(_u2292), _u2291), _u2293)) | hBOOL(hAPP(hAPP(c_member(_u2294), _u2289), hAPP(c_Set_Oimage(_u2292, _u2294, _u2290), _u2293))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_double__complement ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_double__complement-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2295, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2295, tc_HOL_Obool)), _u2296)) = _u2296) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Compl__eq__Compl__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Compl__eq__Compl__iff-1, axiom, ( ( _u2302 = _u2304) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2300, tc_HOL_Obool)), _u2302) != hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2300, tc_HOL_Obool)), _u2304)) )).
% 12.51/12.69 cnf(fact_Compl__eq__Compl__iff-2, axiom, ( ( _u2303 != _u2305) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2301, tc_HOL_Obool)), _u2303) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2301, tc_HOL_Obool)), _u2305)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_image__Pow__surj ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_image__Pow__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u2306, _u2307, _u2308), _u2309) != _u2310) | ( hAPP(c_Set_Oimage(tc_fun(_u2306, tc_HOL_Obool), tc_fun(_u2307, tc_HOL_Obool), c_Set_Oimage(_u2306, _u2307, _u2308)), hAPP(c_Set_OPow(_u2306), _u2309)) = hAPP(c_Set_OPow(_u2307), _u2310)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_mult__left__idem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_mult__left__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u2311) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2311), _u2312), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2311), _u2312), _u2313)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2311), _u2312), _u2313)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_mult__idem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_mult__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u2314) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2314), _u2315), _u2315) = _u2315) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_times_Oidem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_times_Oidem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u2316) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2316), _u2317), _u2317) = _u2317) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fun__left__comm_Ofun__left__comm ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fun__left__comm_Ofun__left__comm-1, axiom, ( ( hAPP(hAPP(_u2320, _u2321), hAPP(hAPP(_u2320, _u2322), _u2323)) = hAPP(hAPP(_u2320, _u2322), hAPP(hAPP(_u2320, _u2321), _u2323))) | ~c_Finite__Set_Ofun__left__comm(_u2318, _u2319, _u2320) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ab__semigroup__mult__class_Omult__ac_I1_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ab__semigroup__mult__class_Omult__ac_I1_J-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u2324) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2324), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2324), _u2325), _u2326)), _u2327) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2324), _u2325), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2324), _u2326), _u2327))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fun__left__comm ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fun__left__comm-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u2328) | c_Finite__Set_Ofun__left__comm(_u2328, _u2328, c_Groups_Otimes__class_Otimes(_u2328)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_minus__mult__right ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_minus__mult__right-1, axiom, ( ~class_Rings_Oring(_u2329) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2329), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2329), _u2330), _u2331)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2329), _u2330), hAPP(c_Groups_Ouminus__class_Ouminus(_u2329), _u2331))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_minus__mult__left ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_minus__mult__left-1, axiom, ( ~class_Rings_Oring(_u2332) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2332), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2332), _u2333), _u2334)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2332), hAPP(c_Groups_Ouminus__class_Ouminus(_u2332), _u2333)), _u2334)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_minus__mult__commute ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_minus__mult__commute-1, axiom, ( ~class_Rings_Oring(_u2335) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2335), hAPP(c_Groups_Ouminus__class_Ouminus(_u2335), _u2336)), _u2337) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2335), _u2336), hAPP(c_Groups_Ouminus__class_Ouminus(_u2335), _u2337))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_minus__mult__minus ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_minus__mult__minus-1, axiom, ( ~class_Rings_Oring(_u2338) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2338), hAPP(c_Groups_Ouminus__class_Ouminus(_u2338), _u2339)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2338), _u2340)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2338), _u2339), _u2340)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_square__eq__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_square__eq__iff-1, axiom, ( ~class_Rings_Oidom(_u2341) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2341), _u2342), _u2342) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2341), _u2343), _u2343)) | ( _u2342 = _u2343) | ( _u2342 = hAPP(c_Groups_Ouminus__class_Ouminus(_u2341), _u2343)) )).
% 12.51/12.69 cnf(fact_square__eq__iff-2, axiom, ( ~class_Rings_Oidom(_u2341) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2341), _u2342), _u2342) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2341), _u2343), _u2343)) | ( _u2342 != _u2343) )).
% 12.51/12.69 cnf(fact_square__eq__iff-3, axiom, ( ~class_Rings_Oidom(_u2341) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2341), _u2342), _u2342) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2341), _u2343), _u2343)) | ( _u2342 != hAPP(c_Groups_Ouminus__class_Ouminus(_u2341), _u2343)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_image__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2351), _u2353), hAPP(c_Set_Oimage(_u2355, _u2351, _u2357), _u2359))) | hBOOL(hAPP(hAPP(c_member(_u2355), skolem53(_u2359, _u2357, _u2355, _u2353)), _u2359)) )).
% 12.51/12.69 cnf(fact_image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2351), _u2353), hAPP(c_Set_Oimage(_u2355, _u2351, _u2357), _u2359))) | ( _u2353 = hAPP(_u2357, skolem53(_u2359, _u2357, _u2355, _u2353))) )).
% 12.51/12.69 cnf(fact_image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2356), _u2345), _u2360)) | ( _u2354 != hAPP(_u2358, _u2345)) | hBOOL(hAPP(hAPP(c_member(_u2352), _u2354), hAPP(c_Set_Oimage(_u2356, _u2352, _u2358), _u2360))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_imageI ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2361), _u2362), _u2363)) | hBOOL(hAPP(hAPP(c_member(_u2364), hAPP(_u2365, _u2362)), hAPP(c_Set_Oimage(_u2361, _u2364, _u2365), _u2363))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_rev__image__eqI ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_rev__image__eqI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2366), _u2367), _u2368)) | ( _u2369 != hAPP(_u2370, _u2367)) | hBOOL(hAPP(hAPP(c_member(_u2371), _u2369), hAPP(c_Set_Oimage(_u2366, _u2371, _u2370), _u2368))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_image__is__empty ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_image__is__empty-1, axiom, ( ( hAPP(c_Set_Oimage(_u2376, _u2378, _u2380), _u2382) != c_Orderings_Obot__class_Obot(tc_fun(_u2378, tc_HOL_Obool))) | ( _u2382 = c_Orderings_Obot__class_Obot(tc_fun(_u2376, tc_HOL_Obool))) )).
% 12.51/12.69 cnf(fact_image__is__empty-2, axiom, ( ( _u2383 != c_Orderings_Obot__class_Obot(tc_fun(_u2377, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u2377, _u2379, _u2381), _u2383) = c_Orderings_Obot__class_Obot(tc_fun(_u2379, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_image__empty ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_image__empty-1, axiom, ( ( hAPP(c_Set_Oimage(_u2384, _u2385, _u2386), c_Orderings_Obot__class_Obot(tc_fun(_u2384, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u2385, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_empty__is__image ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_empty__is__image-1, axiom, ( ( _u2397 = c_Orderings_Obot__class_Obot(tc_fun(_u2393, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u2391, tc_HOL_Obool)) != hAPP(c_Set_Oimage(_u2393, _u2391, _u2395), _u2397)) )).
% 12.51/12.69 cnf(fact_empty__is__image-2, axiom, ( ( _u2398 != c_Orderings_Obot__class_Obot(tc_fun(_u2394, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u2392, tc_HOL_Obool)) = hAPP(c_Set_Oimage(_u2394, _u2392, _u2396), _u2398)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_image__insert ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_image__insert-1, axiom, ( ( hAPP(c_Set_Oimage(_u2399, _u2400, _u2401), hAPP(hAPP(c_Set_Oinsert(_u2399), _u2402), _u2403)) = hAPP(hAPP(c_Set_Oinsert(_u2400), hAPP(_u2401, _u2402)), hAPP(c_Set_Oimage(_u2399, _u2400, _u2401), _u2403))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_image__mono ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_image__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2404, tc_HOL_Obool)), _u2405), _u2406)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2407, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2404, _u2407, _u2408), _u2405)), hAPP(c_Set_Oimage(_u2404, _u2407, _u2408), _u2406))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_subset__image__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_subset__image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2416, tc_HOL_Obool)), _u2418), hAPP(c_Set_Oimage(_u2420, _u2416, _u2422), _u2424))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2420, tc_HOL_Obool)), skolem54(_u2424, _u2422, _u2420, _u2418, _u2416)), _u2424)) )).
% 12.51/12.69 cnf(fact_subset__image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2416, tc_HOL_Obool)), _u2418), hAPP(c_Set_Oimage(_u2420, _u2416, _u2422), _u2424))) | ( _u2418 = hAPP(c_Set_Oimage(_u2420, _u2416, _u2422), skolem54(_u2424, _u2422, _u2420, _u2418, _u2416))) )).
% 12.51/12.69 cnf(fact_subset__image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2421, tc_HOL_Obool)), _u2410), _u2425)) | ( _u2419 != hAPP(c_Set_Oimage(_u2421, _u2417, _u2423), _u2410)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2417, tc_HOL_Obool)), _u2419), hAPP(c_Set_Oimage(_u2421, _u2417, _u2423), _u2425))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_image__Un ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_image__Un-1, axiom, ( ( hAPP(c_Set_Oimage(_u2426, _u2427, _u2428), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2426, tc_HOL_Obool)), _u2429), _u2430)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2427, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2426, _u2427, _u2428), _u2429)), hAPP(c_Set_Oimage(_u2426, _u2427, _u2428), _u2430))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_image__Pow__mono ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_image__Pow__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2431, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2432, _u2431, _u2433), _u2434)), _u2435)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u2431, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_fun(_u2432, tc_HOL_Obool), tc_fun(_u2431, tc_HOL_Obool), c_Set_Oimage(_u2432, _u2431, _u2433)), hAPP(c_Set_OPow(_u2432), _u2434))), hAPP(c_Set_OPow(_u2431), _u2435))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_insert__image ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_insert__image-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2436), _u2437), _u2438)) | ( hAPP(hAPP(c_Set_Oinsert(_u2439), hAPP(_u2440, _u2437)), hAPP(c_Set_Oimage(_u2436, _u2439, _u2440), _u2438)) = hAPP(c_Set_Oimage(_u2436, _u2439, _u2440), _u2438)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_range__eqI ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_range__eqI-1, axiom, ( ( _u2441 != hAPP(_u2442, _u2443)) | hBOOL(hAPP(hAPP(c_member(_u2444), _u2441), hAPP(c_Set_Oimage(_u2445, _u2444, _u2442), c_Orderings_Otop__class_Otop(tc_fun(_u2445, tc_HOL_Obool))))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_rangeI ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_rangeI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2446), hAPP(_u2447, _u2448)), hAPP(c_Set_Oimage(_u2449, _u2446, _u2447), c_Orderings_Otop__class_Otop(tc_fun(_u2449, tc_HOL_Obool))))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_image__Int__subset ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_image__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2450, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2451, _u2450, _u2452), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2451, tc_HOL_Obool)), _u2453), _u2454))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2450, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2451, _u2450, _u2452), _u2453)), hAPP(c_Set_Oimage(_u2451, _u2450, _u2452), _u2454)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_image__diff__subset ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_image__diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2455, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2455, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2456, _u2455, _u2457), _u2458)), hAPP(c_Set_Oimage(_u2456, _u2455, _u2457), _u2459))), hAPP(c_Set_Oimage(_u2456, _u2455, _u2457), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2456, tc_HOL_Obool)), _u2458), _u2459)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_image__uminus__atLeastAtMost ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_image__uminus__atLeastAtMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2460) | ( hAPP(c_Set_Oimage(_u2460, _u2460, c_Groups_Ouminus__class_Ouminus(_u2460)), c_SetInterval_Oord__class_OatLeastAtMost(_u2460, _u2461, _u2462)) = c_SetInterval_Oord__class_OatLeastAtMost(_u2460, hAPP(c_Groups_Ouminus__class_Ouminus(_u2460), _u2462), hAPP(c_Groups_Ouminus__class_Ouminus(_u2460), _u2461))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_type__definition_OAbs__image ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_type__definition_OAbs__image-1, axiom, ( ~c_Typedef_Otype__definition(_u2463, _u2464, _u2465, _u2466, _u2467) | ( hAPP(c_Set_Oimage(_u2464, _u2463, _u2466), _u2467) = c_Orderings_Otop__class_Otop(tc_fun(_u2463, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_type__definition_ORep__range ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_type__definition_ORep__range-1, axiom, ( ~c_Typedef_Otype__definition(_u2468, _u2469, _u2470, _u2471, _u2472) | ( hAPP(c_Set_Oimage(_u2468, _u2469, _u2470), c_Orderings_Otop__class_Otop(tc_fun(_u2468, tc_HOL_Obool))) = _u2472) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fun__left__comm_Ofold__graph__determ ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fun__left__comm_Ofold__graph__determ-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u2473, _u2474, _u2475) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2473, _u2474, _u2475, _u2476, _u2477), _u2478)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2473, _u2474, _u2475, _u2476, _u2477), _u2479)) | ( _u2479 = _u2478) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_image__uminus__greaterThanLessThan ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_image__uminus__greaterThanLessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2480) | ( hAPP(c_Set_Oimage(_u2480, _u2480, c_Groups_Ouminus__class_Ouminus(_u2480)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u2480, _u2481, _u2482)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u2480, hAPP(c_Groups_Ouminus__class_Ouminus(_u2480), _u2482), hAPP(c_Groups_Ouminus__class_Ouminus(_u2480), _u2481))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_empty__fold1SetE ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_empty__fold1SetE-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u2483, _u2484, c_Orderings_Obot__class_Obot(tc_fun(_u2483, tc_HOL_Obool))), _u2485)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fold1Set__nonempty ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fold1Set__nonempty-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u2486, _u2487, _u2488), _u2489)) | ( _u2488 != c_Orderings_Obot__class_Obot(tc_fun(_u2486, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_image__uminus__atLeastLessThan ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_image__uminus__atLeastLessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2490) | ( hAPP(c_Set_Oimage(_u2490, _u2490, c_Groups_Ouminus__class_Ouminus(_u2490)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2490, _u2491), _u2492)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u2490, hAPP(c_Groups_Ouminus__class_Ouminus(_u2490), _u2492), hAPP(c_Groups_Ouminus__class_Ouminus(_u2490), _u2491))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_image__uminus__greaterThanAtMost ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_image__uminus__greaterThanAtMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2493) | ( hAPP(c_Set_Oimage(_u2493, _u2493, c_Groups_Ouminus__class_Ouminus(_u2493)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u2493, _u2494, _u2495)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2493, hAPP(c_Groups_Ouminus__class_Ouminus(_u2493), _u2495)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2493), _u2494))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_image__uminus__lessThan ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_image__uminus__lessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2496) | ( hAPP(c_Set_Oimage(_u2496, _u2496, c_Groups_Ouminus__class_Ouminus(_u2496)), hAPP(c_SetInterval_Oord__class_OlessThan(_u2496), _u2497)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u2496), hAPP(c_Groups_Ouminus__class_Ouminus(_u2496), _u2497))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_image__uminus__greaterThan ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_image__uminus__greaterThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2498) | ( hAPP(c_Set_Oimage(_u2498, _u2498, c_Groups_Ouminus__class_Ouminus(_u2498)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u2498), _u2499)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u2498), hAPP(c_Groups_Ouminus__class_Ouminus(_u2498), _u2499))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_image__uminus__atLeast ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_image__uminus__atLeast-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2500) | ( hAPP(c_Set_Oimage(_u2500, _u2500, c_Groups_Ouminus__class_Ouminus(_u2500)), hAPP(c_SetInterval_Oord__class_OatLeast(_u2500), _u2501)) = hAPP(c_SetInterval_Oord__class_OatMost(_u2500), hAPP(c_Groups_Ouminus__class_Ouminus(_u2500), _u2501))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_image__uminus__atMost ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_image__uminus__atMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2502) | ( hAPP(c_Set_Oimage(_u2502, _u2502, c_Groups_Ouminus__class_Ouminus(_u2502)), hAPP(c_SetInterval_Oord__class_OatMost(_u2502), _u2503)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u2502), hAPP(c_Groups_Ouminus__class_Ouminus(_u2502), _u2503))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fold__graph__insert__swap ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fold__graph__insert__swap-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u2504) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2504, _u2504, c_Groups_Otimes__class_Otimes(_u2504), _u2505, _u2506), _u2507)) | hBOOL(hAPP(hAPP(c_member(_u2504), _u2505), _u2506)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2504, _u2504, c_Groups_Otimes__class_Otimes(_u2504), _u2508, hAPP(hAPP(c_Set_Oinsert(_u2504), _u2505), _u2506)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2504), _u2508), _u2507))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_surj__Compl__image__subset ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_surj__Compl__image__subset-1, axiom, ( ( hAPP(c_Set_Oimage(_u2509, _u2510, _u2511), c_Orderings_Otop__class_Otop(tc_fun(_u2509, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u2510, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2510, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2510, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2509, _u2510, _u2511), _u2512))), hAPP(c_Set_Oimage(_u2509, _u2510, _u2511), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2509, tc_HOL_Obool)), _u2512)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Cantors__paradox ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Cantors__paradox-1, axiom, ( ( hAPP(c_Set_Oimage(_u2514, tc_fun(_u2514, tc_HOL_Obool), _u2513), _u2515) != hAPP(c_Set_OPow(_u2514), _u2515)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_folding__one_Oremove ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_folding__one_Oremove-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u2516, _u2517, _u2518) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2516), _u2519)) | ~hBOOL(hAPP(hAPP(c_member(_u2516), _u2520), _u2519)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2516, tc_HOL_Obool)), _u2519), hAPP(hAPP(c_Set_Oinsert(_u2516), _u2520), c_Orderings_Obot__class_Obot(tc_fun(_u2516, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2516, tc_HOL_Obool))) | ( hAPP(_u2518, _u2519) = _u2520) )).
% 12.51/12.69 cnf(fact_folding__one_Oremove-2, axiom, ( ~c_Finite__Set_Ofolding__one(_u2516, _u2517, _u2518) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2516), _u2519)) | ~hBOOL(hAPP(hAPP(c_member(_u2516), _u2520), _u2519)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2516, tc_HOL_Obool)), _u2519), hAPP(hAPP(c_Set_Oinsert(_u2516), _u2520), c_Orderings_Obot__class_Obot(tc_fun(_u2516, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2516, tc_HOL_Obool))) | ( hAPP(_u2518, _u2519) = hAPP(hAPP(_u2517, _u2520), hAPP(_u2518, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2516, tc_HOL_Obool)), _u2519), hAPP(hAPP(c_Set_Oinsert(_u2516), _u2520), c_Orderings_Obot__class_Obot(tc_fun(_u2516, tc_HOL_Obool))))))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_insert__fold1SetE ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_insert__fold1SetE-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u2523, _u2524, hAPP(hAPP(c_Set_Oinsert(_u2523), _u2525), _u2526)), _u2527)) | ( hAPP(hAPP(c_Set_Oinsert(_u2523), _u2525), _u2526) = hAPP(hAPP(c_Set_Oinsert(_u2523), skolem55(_u2527, _u2526, _u2525, _u2524, _u2523)), skolem56(_u2527, _u2526, _u2525, _u2524, _u2523))) )).
% 12.51/12.69 cnf(fact_insert__fold1SetE-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u2523, _u2524, hAPP(hAPP(c_Set_Oinsert(_u2523), _u2525), _u2526)), _u2527)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2523, _u2523, _u2524, skolem55(_u2527, _u2526, _u2525, _u2524, _u2523), skolem56(_u2527, _u2526, _u2525, _u2524, _u2523)), _u2527)) )).
% 12.51/12.69 cnf(fact_insert__fold1SetE-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u2523, _u2524, hAPP(hAPP(c_Set_Oinsert(_u2523), _u2525), _u2526)), _u2527)) | ~hBOOL(hAPP(hAPP(c_member(_u2523), skolem55(_u2527, _u2526, _u2525, _u2524, _u2523)), skolem56(_u2527, _u2526, _u2525, _u2524, _u2523))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fold1Set_Oequations ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fold1Set_Oequations-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u2537, _u2539, hAPP(hAPP(c_Set_Oinsert(_u2537), _u2541), _u2543)), _u2545)) | ( hAPP(hAPP(c_Set_Oinsert(_u2537), _u2541), _u2543) = hAPP(hAPP(c_Set_Oinsert(_u2537), skolem57(_u2545, _u2543, _u2541, _u2539, _u2537)), skolem58(_u2545, _u2543, _u2541, _u2539, _u2537))) )).
% 12.51/12.69 cnf(fact_fold1Set_Oequations-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u2537, _u2539, hAPP(hAPP(c_Set_Oinsert(_u2537), _u2541), _u2543)), _u2545)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2537, _u2537, _u2539, skolem57(_u2545, _u2543, _u2541, _u2539, _u2537), skolem58(_u2545, _u2543, _u2541, _u2539, _u2537)), _u2545)) )).
% 12.51/12.69 cnf(fact_fold1Set_Oequations-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u2537, _u2539, hAPP(hAPP(c_Set_Oinsert(_u2537), _u2541), _u2543)), _u2545)) | ~hBOOL(hAPP(hAPP(c_member(_u2537), skolem57(_u2545, _u2543, _u2541, _u2539, _u2537)), skolem58(_u2545, _u2543, _u2541, _u2539, _u2537))) )).
% 12.51/12.69 cnf(fact_fold1Set_Oequations-4, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u2538), _u2542), _u2544) != hAPP(hAPP(c_Set_Oinsert(_u2538), _u2531), _u2530)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2538, _u2538, _u2540, _u2531, _u2530), _u2546)) | hBOOL(hAPP(hAPP(c_member(_u2538), _u2531), _u2530)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u2538, _u2540, hAPP(hAPP(c_Set_Oinsert(_u2538), _u2542), _u2544)), _u2546)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fun__left__comm_Ofold__graph__insertE ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fun__left__comm_Ofold__graph__insertE-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u2548, _u2549, _u2550) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2548, _u2549, _u2550, _u2551, hAPP(hAPP(c_Set_Oinsert(_u2548), _u2552), _u2553)), _u2554)) | hBOOL(hAPP(hAPP(c_member(_u2548), _u2552), _u2553)) | ( _u2554 = hAPP(hAPP(_u2550, _u2552), skolem59(_u2554, _u2553, _u2552, _u2551, _u2550, _u2549, _u2548))) )).
% 12.51/12.69 cnf(fact_fun__left__comm_Ofold__graph__insertE-2, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u2548, _u2549, _u2550) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2548, _u2549, _u2550, _u2551, hAPP(hAPP(c_Set_Oinsert(_u2548), _u2552), _u2553)), _u2554)) | hBOOL(hAPP(hAPP(c_member(_u2548), _u2552), _u2553)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2548, _u2549, _u2550, _u2551, _u2553), skolem59(_u2554, _u2553, _u2552, _u2551, _u2550, _u2549, _u2548))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_folding__one_Ounion__inter ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_folding__one_Ounion__inter-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u2555, _u2556, _u2557) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2555), _u2558)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2555), _u2559)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2555, tc_HOL_Obool)), _u2558), _u2559) = c_Orderings_Obot__class_Obot(tc_fun(_u2555, tc_HOL_Obool))) | ( hAPP(hAPP(_u2556, hAPP(_u2557, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2555, tc_HOL_Obool)), _u2558), _u2559))), hAPP(_u2557, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2555, tc_HOL_Obool)), _u2558), _u2559))) = hAPP(hAPP(_u2556, hAPP(_u2557, _u2558)), hAPP(_u2557, _u2559))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_folding__one_Ounion__disjoint ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_folding__one_Ounion__disjoint-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u2560, _u2561, _u2562) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2560), _u2563)) | ( _u2563 = c_Orderings_Obot__class_Obot(tc_fun(_u2560, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2560), _u2564)) | ( _u2564 = c_Orderings_Obot__class_Obot(tc_fun(_u2560, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2560, tc_HOL_Obool)), _u2563), _u2564) != c_Orderings_Obot__class_Obot(tc_fun(_u2560, tc_HOL_Obool))) | ( hAPP(_u2562, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2560, tc_HOL_Obool)), _u2563), _u2564)) = hAPP(hAPP(_u2561, hAPP(_u2562, _u2563)), hAPP(_u2562, _u2564))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_folding__one_Oinsert__remove ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_folding__one_Oinsert__remove-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u2565, _u2566, _u2567) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2565), _u2568)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2565, tc_HOL_Obool)), _u2568), hAPP(hAPP(c_Set_Oinsert(_u2565), _u2569), c_Orderings_Obot__class_Obot(tc_fun(_u2565, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2565, tc_HOL_Obool))) | ( hAPP(_u2567, hAPP(hAPP(c_Set_Oinsert(_u2565), _u2569), _u2568)) = _u2569) )).
% 12.51/12.69 cnf(fact_folding__one_Oinsert__remove-2, axiom, ( ~c_Finite__Set_Ofolding__one(_u2565, _u2566, _u2567) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2565), _u2568)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2565, tc_HOL_Obool)), _u2568), hAPP(hAPP(c_Set_Oinsert(_u2565), _u2569), c_Orderings_Obot__class_Obot(tc_fun(_u2565, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2565, tc_HOL_Obool))) | ( hAPP(_u2567, hAPP(hAPP(c_Set_Oinsert(_u2565), _u2569), _u2568)) = hAPP(hAPP(_u2566, _u2569), hAPP(_u2567, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2565, tc_HOL_Obool)), _u2568), hAPP(hAPP(c_Set_Oinsert(_u2565), _u2569), c_Orderings_Obot__class_Obot(tc_fun(_u2565, tc_HOL_Obool))))))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite_OemptyI ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite_OemptyI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u2570), c_Orderings_Obot__class_Obot(tc_fun(_u2570, tc_HOL_Obool)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite_OinsertI ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite_OinsertI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2571), _u2572)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2571), hAPP(hAPP(c_Set_Oinsert(_u2571), _u2573), _u2572))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite__imageI ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite__imageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2574), _u2575)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2576), hAPP(c_Set_Oimage(_u2574, _u2576, _u2577), _u2575))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite__Int ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite__Int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u2578), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2578, tc_HOL_Obool)), _u2579), _u2580))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2578), _u2579)) )).
% 12.51/12.69 cnf(fact_finite__Int-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u2578), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2578, tc_HOL_Obool)), _u2579), _u2580))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2578), _u2580)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite__Diff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite__Diff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2581), _u2582)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2581), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2581, tc_HOL_Obool)), _u2582), _u2583))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite__Inter ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite__Inter-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2585, tc_HOL_Obool)), _u2584), _u2586)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2585), _u2584)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2585), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u2585, tc_HOL_Obool), _u2586))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite__UN ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite__UN-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2589), _u2590)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2591), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2589, tc_fun(_u2591, tc_HOL_Obool)), _u2590), _u2592))) | ~hBOOL(hAPP(hAPP(c_member(_u2589), _u2587), _u2590)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2591), hAPP(_u2592, _u2587))) )).
% 12.51/12.69 cnf(fact_finite__UN-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2589), _u2590)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2591), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2589, tc_fun(_u2591, tc_HOL_Obool)), _u2590), _u2592))) | hBOOL(hAPP(hAPP(c_member(_u2589), skolem60(_u2592, _u2591, _u2590, _u2589)), _u2590)) )).
% 12.51/12.69 cnf(fact_finite__UN-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2589), _u2590)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2591), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2589, tc_fun(_u2591, tc_HOL_Obool)), _u2590), _u2592))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2591), hAPP(_u2592, skolem60(_u2592, _u2591, _u2590, _u2589)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite-1, axiom, ( ~class_Finite__Set_Ofinite(_u2593) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2593), _u2594)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite__code ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite__code-1, axiom, ( ~class_Finite__Set_Ofinite(_u2595) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2595), _u2596)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite__Prod__UNIV ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite__Prod__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2597), c_Orderings_Otop__class_Otop(tc_fun(_u2597, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2598), c_Orderings_Otop__class_Otop(tc_fun(_u2598, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u2597, _u2598)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u2597, _u2598), tc_HOL_Obool)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite__option__UNIV ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite__option__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u2600)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u2600), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2600), c_Orderings_Otop__class_Otop(tc_fun(_u2600, tc_HOL_Obool)))) )).
% 12.51/12.69 cnf(fact_finite__option__UNIV-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2601), c_Orderings_Otop__class_Otop(tc_fun(_u2601, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u2601)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u2601), tc_HOL_Obool)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite__Plus__UNIV__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite__Plus__UNIV__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u2604, _u2606)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u2604, _u2606), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2604), c_Orderings_Otop__class_Otop(tc_fun(_u2604, tc_HOL_Obool)))) )).
% 12.51/12.69 cnf(fact_finite__Plus__UNIV__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u2604, _u2606)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u2604, _u2606), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2606), c_Orderings_Otop__class_Otop(tc_fun(_u2606, tc_HOL_Obool)))) )).
% 12.51/12.69 cnf(fact_finite__Plus__UNIV__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2605), c_Orderings_Otop__class_Otop(tc_fun(_u2605, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2607), c_Orderings_Otop__class_Otop(tc_fun(_u2607, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u2605, _u2607)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u2605, _u2607), tc_HOL_Obool)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite__UnionD ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite__UnionD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2608), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2608, tc_HOL_Obool), _u2609))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2608, tc_HOL_Obool)), _u2609)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite__Pow__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite__Pow__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2612, tc_HOL_Obool)), hAPP(c_Set_OPow(_u2612), _u2614))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2612), _u2614)) )).
% 12.51/12.69 cnf(fact_finite__Pow__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2613), _u2615)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2613, tc_HOL_Obool)), hAPP(c_Set_OPow(_u2613), _u2615))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite_Oequations_I1_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u2616), c_Orderings_Obot__class_Obot(tc_fun(_u2616, tc_HOL_Obool)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite__insert ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2620), hAPP(hAPP(c_Set_Oinsert(_u2620), _u2622), _u2624))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2620), _u2624)) )).
% 12.51/12.69 cnf(fact_finite__insert-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2621), _u2625)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2621), hAPP(hAPP(c_Set_Oinsert(_u2621), _u2623), _u2625))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite__fun__UNIVD2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite__fun__UNIVD2-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u2627), c_Orderings_Otop__class_Otop(tc_fun(_u2627, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2626, _u2627)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u2626, _u2627), tc_HOL_Obool)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite__subset ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2628, tc_HOL_Obool)), _u2629), _u2630)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2628), _u2630)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2628), _u2629)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_rev__finite__subset ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_rev__finite__subset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2631), _u2632)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2631, tc_HOL_Obool)), _u2633), _u2632)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2631), _u2633)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite__UNIV ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite__UNIV-1, axiom, ( ~class_Finite__Set_Ofinite(_u2634) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2634), c_Orderings_Otop__class_Otop(tc_fun(_u2634, tc_HOL_Obool)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite__UnI ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite__UnI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2635), _u2636)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2635), _u2637)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2635), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2635, tc_HOL_Obool)), _u2636), _u2637))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite__Un ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite__Un-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2641), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2641, tc_HOL_Obool)), _u2643), _u2645))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2641), _u2643)) )).
% 12.51/12.69 cnf(fact_finite__Un-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2641), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2641, tc_HOL_Obool)), _u2643), _u2645))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2641), _u2645)) )).
% 12.51/12.69 cnf(fact_finite__Un-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2642), _u2644)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2642), _u2646)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2642), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2642, tc_HOL_Obool)), _u2644), _u2646))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite__Diff2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite__Diff2-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2647), _u2648)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2647), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2647, tc_HOL_Obool)), _u2649), _u2648))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2647), _u2649)) )).
% 12.51/12.69 cnf(fact_finite__Diff2-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2647), _u2648)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2647), _u2649)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2647), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2647, tc_HOL_Obool)), _u2649), _u2648))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fold__graph__imp__finite ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fold__graph__imp__finite-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2650, _u2651, _u2652, _u2653, _u2654), _u2655)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2650), _u2654)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite__surj ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2656), _u2657)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2658, tc_HOL_Obool)), _u2659), hAPP(c_Set_Oimage(_u2656, _u2658, _u2660), _u2657))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2658), _u2659)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite__Diff__insert ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite__Diff__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2665), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2665, tc_HOL_Obool)), _u2667), hAPP(hAPP(c_Set_Oinsert(_u2665), _u2669), _u2671)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2665), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2665, tc_HOL_Obool)), _u2667), _u2671))) )).
% 12.51/12.69 cnf(fact_finite__Diff__insert-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2666), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2666, tc_HOL_Obool)), _u2668), _u2672))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2666), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2666, tc_HOL_Obool)), _u2668), hAPP(hAPP(c_Set_Oinsert(_u2666), _u2670), _u2672)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite__compl ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite__compl-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2673), _u2674)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2673), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2673, tc_HOL_Obool)), _u2674))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2673), c_Orderings_Otop__class_Otop(tc_fun(_u2673, tc_HOL_Obool)))) )).
% 12.51/12.69 cnf(fact_finite__compl-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2673), _u2674)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2673), c_Orderings_Otop__class_Otop(tc_fun(_u2673, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2673), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2673, tc_HOL_Obool)), _u2674))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_folding__one_Oinsert ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_folding__one_Oinsert-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u2675, _u2676, _u2677) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2675), _u2678)) | hBOOL(hAPP(hAPP(c_member(_u2675), _u2679), _u2678)) | ( _u2678 = c_Orderings_Obot__class_Obot(tc_fun(_u2675, tc_HOL_Obool))) | ( hAPP(_u2677, hAPP(hAPP(c_Set_Oinsert(_u2675), _u2679), _u2678)) = hAPP(hAPP(_u2676, _u2679), hAPP(_u2677, _u2678))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_folding__image__simple_Oremove ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_folding__image__simple_Oremove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2681), _u2686)) | ~hBOOL(hAPP(hAPP(c_member(_u2681), _u2687), _u2686)) | ( hAPP(_u2685, _u2686) = hAPP(hAPP(_u2682, hAPP(_u2684, _u2687)), hAPP(_u2685, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2681, tc_HOL_Obool)), _u2686), hAPP(hAPP(c_Set_Oinsert(_u2681), _u2687), c_Orderings_Obot__class_Obot(tc_fun(_u2681, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u2680, _u2681, _u2682, _u2683, _u2684, _u2685) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_folding__image__simple_Ounion__disjoint ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_folding__image__simple_Ounion__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2689), _u2694)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2689), _u2695)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2689, tc_HOL_Obool)), _u2694), _u2695) != c_Orderings_Obot__class_Obot(tc_fun(_u2689, tc_HOL_Obool))) | ( hAPP(_u2693, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2689, tc_HOL_Obool)), _u2694), _u2695)) = hAPP(hAPP(_u2690, hAPP(_u2693, _u2694)), hAPP(_u2693, _u2695))) | ~c_Finite__Set_Ofolding__image__simple(_u2688, _u2689, _u2690, _u2691, _u2692, _u2693) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_folding__image__simple_Oinsert__remove ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_folding__image__simple_Oinsert__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2697), _u2702)) | ( hAPP(_u2701, hAPP(hAPP(c_Set_Oinsert(_u2697), _u2703), _u2702)) = hAPP(hAPP(_u2698, hAPP(_u2700, _u2703)), hAPP(_u2701, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2697, tc_HOL_Obool)), _u2702), hAPP(hAPP(c_Set_Oinsert(_u2697), _u2703), c_Orderings_Obot__class_Obot(tc_fun(_u2697, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u2696, _u2697, _u2698, _u2699, _u2700, _u2701) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Inf__fin_Oremove ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Inf__fin_Oremove-1, axiom, ( ~class_Lattices_Olattice(_u2704) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2704), _u2705)) | ~hBOOL(hAPP(hAPP(c_member(_u2704), _u2706), _u2705)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2704, tc_HOL_Obool)), _u2705), hAPP(hAPP(c_Set_Oinsert(_u2704), _u2706), c_Orderings_Obot__class_Obot(tc_fun(_u2704, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2704, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u2704, _u2705) = _u2706) )).
% 12.51/12.69 cnf(fact_Inf__fin_Oremove-2, axiom, ( ~class_Lattices_Olattice(_u2704) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2704), _u2705)) | ~hBOOL(hAPP(hAPP(c_member(_u2704), _u2706), _u2705)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2704, tc_HOL_Obool)), _u2705), hAPP(hAPP(c_Set_Oinsert(_u2704), _u2706), c_Orderings_Obot__class_Obot(tc_fun(_u2704, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2704, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u2704, _u2705) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2704), _u2706), c_Big__Operators_Olattice__class_OInf__fin(_u2704, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2704, tc_HOL_Obool)), _u2705), hAPP(hAPP(c_Set_Oinsert(_u2704), _u2706), c_Orderings_Obot__class_Obot(tc_fun(_u2704, tc_HOL_Obool))))))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Sup__fin_Oremove ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Sup__fin_Oremove-1, axiom, ( ~class_Lattices_Olattice(_u2707) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2707), _u2708)) | ~hBOOL(hAPP(hAPP(c_member(_u2707), _u2709), _u2708)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2707, tc_HOL_Obool)), _u2708), hAPP(hAPP(c_Set_Oinsert(_u2707), _u2709), c_Orderings_Obot__class_Obot(tc_fun(_u2707, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2707, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u2707, _u2708) = _u2709) )).
% 12.51/12.69 cnf(fact_Sup__fin_Oremove-2, axiom, ( ~class_Lattices_Olattice(_u2707) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2707), _u2708)) | ~hBOOL(hAPP(hAPP(c_member(_u2707), _u2709), _u2708)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2707, tc_HOL_Obool)), _u2708), hAPP(hAPP(c_Set_Oinsert(_u2707), _u2709), c_Orderings_Obot__class_Obot(tc_fun(_u2707, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2707, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u2707, _u2708) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2707), _u2709), c_Big__Operators_Olattice__class_OSup__fin(_u2707, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2707, tc_HOL_Obool)), _u2708), hAPP(hAPP(c_Set_Oinsert(_u2707), _u2709), c_Orderings_Obot__class_Obot(tc_fun(_u2707, tc_HOL_Obool))))))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_folding__one_Oclosed ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_folding__one_Oclosed-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u2712, _u2713, _u2714) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2712), _u2715)) | ( _u2715 = c_Orderings_Obot__class_Obot(tc_fun(_u2712, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2712), hAPP(hAPP(_u2713, skolem61(_u2715, _u2714, _u2713, _u2712)), skolem62(_u2715, _u2714, _u2713, _u2712))), hAPP(hAPP(c_Set_Oinsert(_u2712), skolem61(_u2715, _u2714, _u2713, _u2712)), hAPP(hAPP(c_Set_Oinsert(_u2712), skolem62(_u2715, _u2714, _u2713, _u2712)), c_Orderings_Obot__class_Obot(tc_fun(_u2712, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u2712), hAPP(_u2714, _u2715)), _u2715)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fun__upd__image ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fun__upd__image-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2722), _u2724), _u2726)) | ( hAPP(c_Set_Oimage(_u2722, _u2728, c_Fun_Ofun__upd(_u2722, _u2728, _u2730, _u2724, _u2732)), _u2726) = hAPP(hAPP(c_Set_Oinsert(_u2728), _u2732), hAPP(c_Set_Oimage(_u2722, _u2728, _u2730), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2722, tc_HOL_Obool)), _u2726), hAPP(hAPP(c_Set_Oinsert(_u2722), _u2724), c_Orderings_Obot__class_Obot(tc_fun(_u2722, tc_HOL_Obool))))))) )).
% 12.51/12.69 cnf(fact_fun__upd__image-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2723), _u2725), _u2727)) | ( hAPP(c_Set_Oimage(_u2723, _u2729, c_Fun_Ofun__upd(_u2723, _u2729, _u2731, _u2725, _u2733)), _u2727) = hAPP(c_Set_Oimage(_u2723, _u2729, _u2731), _u2727)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite__empty__induct ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite__empty__induct-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2736), _u2737)) | ~hBOOL(hAPP(_u2738, _u2737)) | hBOOL(hAPP(_u2738, c_Orderings_Obot__class_Obot(tc_fun(_u2736, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2736), skolem64(_u2738, _u2737, _u2736))) )).
% 12.51/12.69 cnf(fact_finite__empty__induct-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2736), _u2737)) | ~hBOOL(hAPP(_u2738, _u2737)) | hBOOL(hAPP(_u2738, c_Orderings_Obot__class_Obot(tc_fun(_u2736, tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_member(_u2736), skolem63(_u2738, _u2737, _u2736)), skolem64(_u2738, _u2737, _u2736))) )).
% 12.51/12.69 cnf(fact_finite__empty__induct-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2736), _u2737)) | ~hBOOL(hAPP(_u2738, _u2737)) | hBOOL(hAPP(_u2738, c_Orderings_Obot__class_Obot(tc_fun(_u2736, tc_HOL_Obool)))) | hBOOL(hAPP(_u2738, skolem64(_u2738, _u2737, _u2736))) )).
% 12.51/12.69 cnf(fact_finite__empty__induct-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2736), _u2737)) | ~hBOOL(hAPP(_u2738, _u2737)) | hBOOL(hAPP(_u2738, c_Orderings_Obot__class_Obot(tc_fun(_u2736, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u2738, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2736, tc_HOL_Obool)), skolem64(_u2738, _u2737, _u2736)), hAPP(hAPP(c_Set_Oinsert(_u2736), skolem63(_u2738, _u2737, _u2736)), c_Orderings_Obot__class_Obot(tc_fun(_u2736, tc_HOL_Obool)))))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_folding__one__idem_Ounion__idem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_folding__one__idem_Ounion__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u2739, _u2740, _u2741) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2739), _u2742)) | ( _u2742 = c_Orderings_Obot__class_Obot(tc_fun(_u2739, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2739), _u2743)) | ( _u2743 = c_Orderings_Obot__class_Obot(tc_fun(_u2739, tc_HOL_Obool))) | ( hAPP(_u2741, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2739, tc_HOL_Obool)), _u2742), _u2743)) = hAPP(hAPP(_u2740, hAPP(_u2741, _u2742)), hAPP(_u2741, _u2743))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fun__upd__triv ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fun__upd__triv-1, axiom, ( ( c_Fun_Ofun__upd(_u2744, _u2745, _u2746, _u2747, hAPP(_u2746, _u2747)) = _u2746) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fun__upd__idem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fun__upd__idem-1, axiom, ( ( hAPP(_u2748, _u2749) != _u2750) | ( c_Fun_Ofun__upd(_u2751, _u2752, _u2748, _u2749, _u2750) = _u2748) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fun__upd__other ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fun__upd__other-1, axiom, ( ( _u2753 = _u2754) | ( hAPP(c_Fun_Ofun__upd(_u2755, _u2756, _u2757, _u2754, _u2758), _u2753) = hAPP(_u2757, _u2753)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fun__upd__twist ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fun__upd__twist-1, axiom, ( ( _u2759 = _u2760) | ( c_Fun_Ofun__upd(_u2761, _u2762, c_Fun_Ofun__upd(_u2761, _u2762, _u2763, _u2759, _u2764), _u2760, _u2765) = c_Fun_Ofun__upd(_u2761, _u2762, c_Fun_Ofun__upd(_u2761, _u2762, _u2763, _u2760, _u2765), _u2759, _u2764)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fun__upd__apply ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fun__upd__apply-1, axiom, ( ( _u2772 != _u2774) | ( hAPP(c_Fun_Ofun__upd(_u2776, _u2778, _u2780, _u2774, _u2782), _u2772) = _u2782) )).
% 12.51/12.69 cnf(fact_fun__upd__apply-2, axiom, ( ( _u2773 = _u2775) | ( hAPP(c_Fun_Ofun__upd(_u2777, _u2779, _u2781, _u2775, _u2783), _u2773) = hAPP(_u2781, _u2773)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fun__upd__same ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fun__upd__same-1, axiom, ( ( hAPP(c_Fun_Ofun__upd(_u2784, _u2785, _u2786, _u2787, _u2788), _u2787) = _u2788) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fun__upd__upd ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fun__upd__upd-1, axiom, ( ( c_Fun_Ofun__upd(_u2789, _u2790, c_Fun_Ofun__upd(_u2789, _u2790, _u2791, _u2792, _u2793), _u2792, _u2794) = c_Fun_Ofun__upd(_u2789, _u2790, _u2791, _u2792, _u2794)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fun__upd__idem__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fun__upd__idem__iff-1, axiom, ( ( hAPP(_u2804, _u2806) = _u2808) | ( c_Fun_Ofun__upd(_u2800, _u2802, _u2804, _u2806, _u2808) != _u2804) )).
% 12.51/12.69 cnf(fact_fun__upd__idem__iff-2, axiom, ( ( hAPP(_u2805, _u2807) != _u2809) | ( c_Fun_Ofun__upd(_u2801, _u2803, _u2805, _u2807, _u2809) = _u2805) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_folding__one__idem_Oidem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_folding__one__idem_Oidem-1, axiom, ( ( hAPP(hAPP(_u2811, _u2813), _u2813) = _u2813) | ~c_Finite__Set_Ofolding__one__idem(_u2810, _u2811, _u2812) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ball__UN ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ball__UN-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2827), _u2816), _u2829)) | ~hBOOL(hAPP(hAPP(c_member(_u2825), _u2815), hAPP(_u2831, _u2816))) | hBOOL(hAPP(_u2833, _u2815)) | hBOOL(hAPP(hAPP(c_member(_u2825), skolem65(_u2833, _u2831, _u2829, _u2827, _u2825)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2827, tc_fun(_u2825, tc_HOL_Obool)), _u2829), _u2831))) )).
% 12.51/12.69 cnf(fact_ball__UN-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2827), _u2816), _u2829)) | ~hBOOL(hAPP(hAPP(c_member(_u2825), _u2815), hAPP(_u2831, _u2816))) | hBOOL(hAPP(_u2833, _u2815)) | ~hBOOL(hAPP(_u2833, skolem65(_u2833, _u2831, _u2829, _u2827, _u2825))) )).
% 12.51/12.69 cnf(fact_ball__UN-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2826), _u2819), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2828, tc_fun(_u2826, tc_HOL_Obool)), _u2830), _u2832))) | hBOOL(hAPP(_u2834, _u2819)) | hBOOL(hAPP(hAPP(c_member(_u2828), skolem66(_u2834, _u2832, _u2830, _u2828, _u2826)), _u2830)) )).
% 12.51/12.69 cnf(fact_ball__UN-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2826), _u2819), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2828, tc_fun(_u2826, tc_HOL_Obool)), _u2830), _u2832))) | hBOOL(hAPP(_u2834, _u2819)) | hBOOL(hAPP(hAPP(c_member(_u2826), skolem67(_u2834, _u2832, _u2830, _u2828, _u2826)), hAPP(_u2832, skolem66(_u2834, _u2832, _u2830, _u2828, _u2826)))) )).
% 12.51/12.69 cnf(fact_ball__UN-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2826), _u2819), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2828, tc_fun(_u2826, tc_HOL_Obool)), _u2830), _u2832))) | hBOOL(hAPP(_u2834, _u2819)) | ~hBOOL(hAPP(_u2834, skolem67(_u2834, _u2832, _u2830, _u2828, _u2826))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Inf__le__Sup ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Inf__le__Sup-1, axiom, ( ~class_Lattices_Olattice(_u2835) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2835), _u2836)) | ( _u2836 = c_Orderings_Obot__class_Obot(tc_fun(_u2835, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2835), c_Big__Operators_Olattice__class_OInf__fin(_u2835, _u2836)), c_Big__Operators_Olattice__class_OSup__fin(_u2835, _u2836))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_folding__image__simple_Oempty ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_folding__image__simple_Oempty-1, axiom, ( ( hAPP(_u2842, c_Orderings_Obot__class_Obot(tc_fun(_u2838, tc_HOL_Obool))) = _u2840) | ~c_Finite__Set_Ofolding__image__simple(_u2837, _u2838, _u2839, _u2840, _u2841, _u2842) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Inf__fin_Osingleton ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Inf__fin_Osingleton-1, axiom, ( ~class_Lattices_Olattice(_u2843) | ( c_Big__Operators_Olattice__class_OInf__fin(_u2843, hAPP(hAPP(c_Set_Oinsert(_u2843), _u2844), c_Orderings_Obot__class_Obot(tc_fun(_u2843, tc_HOL_Obool)))) = _u2844) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Sup__fin_Osingleton ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Sup__fin_Osingleton-1, axiom, ( ~class_Lattices_Olattice(_u2845) | ( c_Big__Operators_Olattice__class_OSup__fin(_u2845, hAPP(hAPP(c_Set_Oinsert(_u2845), _u2846), c_Orderings_Obot__class_Obot(tc_fun(_u2845, tc_HOL_Obool)))) = _u2846) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Sup__fin_Oin__idem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Sup__fin_Oin__idem-1, axiom, ( ~class_Lattices_Olattice(_u2847) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2847), _u2848)) | ~hBOOL(hAPP(hAPP(c_member(_u2847), _u2849), _u2848)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2847), _u2849), c_Big__Operators_Olattice__class_OSup__fin(_u2847, _u2848)) = c_Big__Operators_Olattice__class_OSup__fin(_u2847, _u2848)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_sup__Inf__absorb ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_sup__Inf__absorb-1, axiom, ( ~class_Lattices_Olattice(_u2850) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2850), _u2851)) | ~hBOOL(hAPP(hAPP(c_member(_u2850), _u2852), _u2851)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2850), _u2852), c_Big__Operators_Olattice__class_OInf__fin(_u2850, _u2851)) = _u2852) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Inf__fin_Oin__idem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Inf__fin_Oin__idem-1, axiom, ( ~class_Lattices_Olattice(_u2853) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2853), _u2854)) | ~hBOOL(hAPP(hAPP(c_member(_u2853), _u2855), _u2854)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2853), _u2855), c_Big__Operators_Olattice__class_OInf__fin(_u2853, _u2854)) = c_Big__Operators_Olattice__class_OInf__fin(_u2853, _u2854)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__Sup__absorb ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__Sup__absorb-1, axiom, ( ~class_Lattices_Olattice(_u2856) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2856), _u2857)) | ~hBOOL(hAPP(hAPP(c_member(_u2856), _u2858), _u2857)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2856), _u2858), c_Big__Operators_Olattice__class_OSup__fin(_u2856, _u2857)) = _u2858) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Sup__fin__Sup ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Sup__fin__Sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2859) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2859), _u2860)) | ( _u2860 = c_Orderings_Obot__class_Obot(tc_fun(_u2859, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u2859, _u2860) = c_Complete__Lattice_OSup__class_OSup(_u2859, _u2860)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Inf__fin__Inf ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Inf__fin__Inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2861) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2861), _u2862)) | ( _u2862 = c_Orderings_Obot__class_Obot(tc_fun(_u2861, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u2861, _u2862) = c_Complete__Lattice_OInf__class_OInf(_u2861, _u2862)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_folding__one__idem_Oin__idem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_folding__one__idem_Oin__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u2863, _u2864, _u2865) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2863), _u2866)) | ~hBOOL(hAPP(hAPP(c_member(_u2863), _u2867), _u2866)) | ( hAPP(hAPP(_u2864, _u2867), hAPP(_u2865, _u2866)) = hAPP(_u2865, _u2866)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Sup__fin_Oinsert__idem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Sup__fin_Oinsert__idem-1, axiom, ( ~class_Lattices_Olattice(_u2868) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2868), _u2869)) | ( _u2869 = c_Orderings_Obot__class_Obot(tc_fun(_u2868, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u2868, hAPP(hAPP(c_Set_Oinsert(_u2868), _u2870), _u2869)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2868), _u2870), c_Big__Operators_Olattice__class_OSup__fin(_u2868, _u2869))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Inf__fin_Oinsert__idem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Inf__fin_Oinsert__idem-1, axiom, ( ~class_Lattices_Olattice(_u2871) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2871), _u2872)) | ( _u2872 = c_Orderings_Obot__class_Obot(tc_fun(_u2871, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u2871, hAPP(hAPP(c_Set_Oinsert(_u2871), _u2873), _u2872)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2871), _u2873), c_Big__Operators_Olattice__class_OInf__fin(_u2871, _u2872))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Sup__fin_Osubset__idem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Sup__fin_Osubset__idem-1, axiom, ( ~class_Lattices_Olattice(_u2874) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2874), _u2875)) | ( _u2876 = c_Orderings_Obot__class_Obot(tc_fun(_u2874, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2874, tc_HOL_Obool)), _u2876), _u2875)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2874), c_Big__Operators_Olattice__class_OSup__fin(_u2874, _u2876)), c_Big__Operators_Olattice__class_OSup__fin(_u2874, _u2875)) = c_Big__Operators_Olattice__class_OSup__fin(_u2874, _u2875)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Inf__fin_Osubset__idem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Inf__fin_Osubset__idem-1, axiom, ( ~class_Lattices_Olattice(_u2877) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2877), _u2878)) | ( _u2879 = c_Orderings_Obot__class_Obot(tc_fun(_u2877, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2877, tc_HOL_Obool)), _u2879), _u2878)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2877), c_Big__Operators_Olattice__class_OInf__fin(_u2877, _u2879)), c_Big__Operators_Olattice__class_OInf__fin(_u2877, _u2878)) = c_Big__Operators_Olattice__class_OInf__fin(_u2877, _u2878)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Sup__fin_Ounion__idem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Sup__fin_Ounion__idem-1, axiom, ( ~class_Lattices_Olattice(_u2880) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2880), _u2881)) | ( _u2881 = c_Orderings_Obot__class_Obot(tc_fun(_u2880, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2880), _u2882)) | ( _u2882 = c_Orderings_Obot__class_Obot(tc_fun(_u2880, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u2880, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2880, tc_HOL_Obool)), _u2881), _u2882)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2880), c_Big__Operators_Olattice__class_OSup__fin(_u2880, _u2881)), c_Big__Operators_Olattice__class_OSup__fin(_u2880, _u2882))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Inf__fin_Ounion__idem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Inf__fin_Ounion__idem-1, axiom, ( ~class_Lattices_Olattice(_u2883) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2883), _u2884)) | ( _u2884 = c_Orderings_Obot__class_Obot(tc_fun(_u2883, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2883), _u2885)) | ( _u2885 = c_Orderings_Obot__class_Obot(tc_fun(_u2883, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u2883, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2883, tc_HOL_Obool)), _u2884), _u2885)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2883), c_Big__Operators_Olattice__class_OInf__fin(_u2883, _u2884)), c_Big__Operators_Olattice__class_OInf__fin(_u2883, _u2885))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_folding__image__simple_Oinsert ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_folding__image__simple_Oinsert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2887), _u2892)) | hBOOL(hAPP(hAPP(c_member(_u2887), _u2893), _u2892)) | ( hAPP(_u2891, hAPP(hAPP(c_Set_Oinsert(_u2887), _u2893), _u2892)) = hAPP(hAPP(_u2888, hAPP(_u2890, _u2893)), hAPP(_u2891, _u2892))) | ~c_Finite__Set_Ofolding__image__simple(_u2886, _u2887, _u2888, _u2889, _u2890, _u2891) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_folding__image__simple_Ounion__inter ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_folding__image__simple_Ounion__inter-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2895), _u2900)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2895), _u2901)) | ( hAPP(hAPP(_u2896, hAPP(_u2899, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2895, tc_HOL_Obool)), _u2900), _u2901))), hAPP(_u2899, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2895, tc_HOL_Obool)), _u2900), _u2901))) = hAPP(hAPP(_u2896, hAPP(_u2899, _u2900)), hAPP(_u2899, _u2901))) | ~c_Finite__Set_Ofolding__image__simple(_u2894, _u2895, _u2896, _u2897, _u2898, _u2899) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Sup__fin_Oinsert ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Sup__fin_Oinsert-1, axiom, ( ~class_Lattices_Olattice(_u2902) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2902), _u2903)) | hBOOL(hAPP(hAPP(c_member(_u2902), _u2904), _u2903)) | ( _u2903 = c_Orderings_Obot__class_Obot(tc_fun(_u2902, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u2902, hAPP(hAPP(c_Set_Oinsert(_u2902), _u2904), _u2903)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2902), _u2904), c_Big__Operators_Olattice__class_OSup__fin(_u2902, _u2903))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Inf__fin_Oinsert ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Inf__fin_Oinsert-1, axiom, ( ~class_Lattices_Olattice(_u2905) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2905), _u2906)) | hBOOL(hAPP(hAPP(c_member(_u2905), _u2907), _u2906)) | ( _u2906 = c_Orderings_Obot__class_Obot(tc_fun(_u2905, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u2905, hAPP(hAPP(c_Set_Oinsert(_u2905), _u2907), _u2906)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2905), _u2907), c_Big__Operators_Olattice__class_OInf__fin(_u2905, _u2906))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Sup__fin_Oinsert__remove ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Sup__fin_Oinsert__remove-1, axiom, ( ~class_Lattices_Olattice(_u2908) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2908), _u2909)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2908, tc_HOL_Obool)), _u2909), hAPP(hAPP(c_Set_Oinsert(_u2908), _u2910), c_Orderings_Obot__class_Obot(tc_fun(_u2908, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2908, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u2908, hAPP(hAPP(c_Set_Oinsert(_u2908), _u2910), _u2909)) = _u2910) )).
% 12.51/12.69 cnf(fact_Sup__fin_Oinsert__remove-2, axiom, ( ~class_Lattices_Olattice(_u2908) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2908), _u2909)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2908, tc_HOL_Obool)), _u2909), hAPP(hAPP(c_Set_Oinsert(_u2908), _u2910), c_Orderings_Obot__class_Obot(tc_fun(_u2908, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2908, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u2908, hAPP(hAPP(c_Set_Oinsert(_u2908), _u2910), _u2909)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2908), _u2910), c_Big__Operators_Olattice__class_OSup__fin(_u2908, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2908, tc_HOL_Obool)), _u2909), hAPP(hAPP(c_Set_Oinsert(_u2908), _u2910), c_Orderings_Obot__class_Obot(tc_fun(_u2908, tc_HOL_Obool))))))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Inf__fin_Oinsert__remove ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Inf__fin_Oinsert__remove-1, axiom, ( ~class_Lattices_Olattice(_u2911) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2911), _u2912)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2911, tc_HOL_Obool)), _u2912), hAPP(hAPP(c_Set_Oinsert(_u2911), _u2913), c_Orderings_Obot__class_Obot(tc_fun(_u2911, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2911, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u2911, hAPP(hAPP(c_Set_Oinsert(_u2911), _u2913), _u2912)) = _u2913) )).
% 12.51/12.69 cnf(fact_Inf__fin_Oinsert__remove-2, axiom, ( ~class_Lattices_Olattice(_u2911) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2911), _u2912)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2911, tc_HOL_Obool)), _u2912), hAPP(hAPP(c_Set_Oinsert(_u2911), _u2913), c_Orderings_Obot__class_Obot(tc_fun(_u2911, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2911, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u2911, hAPP(hAPP(c_Set_Oinsert(_u2911), _u2913), _u2912)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2911), _u2913), c_Big__Operators_Olattice__class_OInf__fin(_u2911, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2911, tc_HOL_Obool)), _u2912), hAPP(hAPP(c_Set_Oinsert(_u2911), _u2913), c_Orderings_Obot__class_Obot(tc_fun(_u2911, tc_HOL_Obool))))))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Sup__fin_Ounion__inter ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Sup__fin_Ounion__inter-1, axiom, ( ~class_Lattices_Olattice(_u2914) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2914), _u2915)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2914), _u2916)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2914, tc_HOL_Obool)), _u2915), _u2916) = c_Orderings_Obot__class_Obot(tc_fun(_u2914, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2914), c_Big__Operators_Olattice__class_OSup__fin(_u2914, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2914, tc_HOL_Obool)), _u2915), _u2916))), c_Big__Operators_Olattice__class_OSup__fin(_u2914, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2914, tc_HOL_Obool)), _u2915), _u2916))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2914), c_Big__Operators_Olattice__class_OSup__fin(_u2914, _u2915)), c_Big__Operators_Olattice__class_OSup__fin(_u2914, _u2916))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Sup__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Sup__fin_Ounion__disjoint-1, axiom, ( ~class_Lattices_Olattice(_u2917) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2917), _u2918)) | ( _u2918 = c_Orderings_Obot__class_Obot(tc_fun(_u2917, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2917), _u2919)) | ( _u2919 = c_Orderings_Obot__class_Obot(tc_fun(_u2917, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2917, tc_HOL_Obool)), _u2918), _u2919) != c_Orderings_Obot__class_Obot(tc_fun(_u2917, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u2917, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2917, tc_HOL_Obool)), _u2918), _u2919)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2917), c_Big__Operators_Olattice__class_OSup__fin(_u2917, _u2918)), c_Big__Operators_Olattice__class_OSup__fin(_u2917, _u2919))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Inf__fin_Ounion__inter ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Inf__fin_Ounion__inter-1, axiom, ( ~class_Lattices_Olattice(_u2920) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2920), _u2921)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2920), _u2922)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2920, tc_HOL_Obool)), _u2921), _u2922) = c_Orderings_Obot__class_Obot(tc_fun(_u2920, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2920), c_Big__Operators_Olattice__class_OInf__fin(_u2920, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2920, tc_HOL_Obool)), _u2921), _u2922))), c_Big__Operators_Olattice__class_OInf__fin(_u2920, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2920, tc_HOL_Obool)), _u2921), _u2922))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2920), c_Big__Operators_Olattice__class_OInf__fin(_u2920, _u2921)), c_Big__Operators_Olattice__class_OInf__fin(_u2920, _u2922))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Inf__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Inf__fin_Ounion__disjoint-1, axiom, ( ~class_Lattices_Olattice(_u2923) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2923), _u2924)) | ( _u2924 = c_Orderings_Obot__class_Obot(tc_fun(_u2923, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2923), _u2925)) | ( _u2925 = c_Orderings_Obot__class_Obot(tc_fun(_u2923, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2923, tc_HOL_Obool)), _u2924), _u2925) != c_Orderings_Obot__class_Obot(tc_fun(_u2923, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u2923, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2923, tc_HOL_Obool)), _u2924), _u2925)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2923), c_Big__Operators_Olattice__class_OInf__fin(_u2923, _u2924)), c_Big__Operators_Olattice__class_OInf__fin(_u2923, _u2925))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_folding__one__idem_Oinsert__idem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_folding__one__idem_Oinsert__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u2926, _u2927, _u2928) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2926), _u2929)) | ( _u2929 = c_Orderings_Obot__class_Obot(tc_fun(_u2926, tc_HOL_Obool))) | ( hAPP(_u2928, hAPP(hAPP(c_Set_Oinsert(_u2926), _u2930), _u2929)) = hAPP(hAPP(_u2927, _u2930), hAPP(_u2928, _u2929))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_folding__one__idem_Osubset__idem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_folding__one__idem_Osubset__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u2931, _u2932, _u2933) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2931), _u2934)) | ( _u2935 = c_Orderings_Obot__class_Obot(tc_fun(_u2931, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2931, tc_HOL_Obool)), _u2935), _u2934)) | ( hAPP(hAPP(_u2932, hAPP(_u2933, _u2935)), hAPP(_u2933, _u2934)) = hAPP(_u2933, _u2934)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Inf__fin_Oclosed ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Inf__fin_Oclosed-1, axiom, ( ~class_Lattices_Olattice(_u2938) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2938), _u2939)) | ( _u2939 = c_Orderings_Obot__class_Obot(tc_fun(_u2938, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2938), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2938), skolem68(_u2939, _u2938)), skolem69(_u2939, _u2938))), hAPP(hAPP(c_Set_Oinsert(_u2938), skolem68(_u2939, _u2938)), hAPP(hAPP(c_Set_Oinsert(_u2938), skolem69(_u2939, _u2938)), c_Orderings_Obot__class_Obot(tc_fun(_u2938, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u2938), c_Big__Operators_Olattice__class_OInf__fin(_u2938, _u2939)), _u2939)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Sup__fin_Oclosed ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Sup__fin_Oclosed-1, axiom, ( ~class_Lattices_Olattice(_u2942) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2942), _u2943)) | ( _u2943 = c_Orderings_Obot__class_Obot(tc_fun(_u2942, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2942), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2942), skolem70(_u2943, _u2942)), skolem71(_u2943, _u2942))), hAPP(hAPP(c_Set_Oinsert(_u2942), skolem70(_u2943, _u2942)), hAPP(hAPP(c_Set_Oinsert(_u2942), skolem71(_u2943, _u2942)), c_Orderings_Obot__class_Obot(tc_fun(_u2942, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u2942), c_Big__Operators_Olattice__class_OSup__fin(_u2942, _u2943)), _u2943)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite__Union ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite__Union-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2945, tc_HOL_Obool)), _u2946)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2945), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2945, tc_HOL_Obool), _u2946))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2945, tc_HOL_Obool)), skolem72(_u2946, _u2945)), _u2946)) )).
% 12.51/12.69 cnf(fact_finite__Union-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2945, tc_HOL_Obool)), _u2946)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2945), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2945, tc_HOL_Obool), _u2946))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2945), skolem72(_u2946, _u2945))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Inf__fin_Ohom__commute ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Inf__fin_Ohom__commute-1, axiom, ( ~class_Lattices_Olattice(_u2949) | ( hAPP(_u2950, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2949), skolem73(_u2951, _u2950, _u2949)), skolem74(_u2951, _u2950, _u2949))) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2949), hAPP(_u2950, skolem73(_u2951, _u2950, _u2949))), hAPP(_u2950, skolem74(_u2951, _u2950, _u2949)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2949), _u2951)) | ( _u2951 = c_Orderings_Obot__class_Obot(tc_fun(_u2949, tc_HOL_Obool))) | ( hAPP(_u2950, c_Big__Operators_Olattice__class_OInf__fin(_u2949, _u2951)) = c_Big__Operators_Olattice__class_OInf__fin(_u2949, hAPP(c_Set_Oimage(_u2949, _u2949, _u2950), _u2951))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Sup__fin_Ohom__commute ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Sup__fin_Ohom__commute-1, axiom, ( ~class_Lattices_Olattice(_u2954) | ( hAPP(_u2955, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2954), skolem75(_u2956, _u2955, _u2954)), skolem76(_u2956, _u2955, _u2954))) != hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2954), hAPP(_u2955, skolem75(_u2956, _u2955, _u2954))), hAPP(_u2955, skolem76(_u2956, _u2955, _u2954)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2954), _u2956)) | ( _u2956 = c_Orderings_Obot__class_Obot(tc_fun(_u2954, tc_HOL_Obool))) | ( hAPP(_u2955, c_Big__Operators_Olattice__class_OSup__fin(_u2954, _u2956)) = c_Big__Operators_Olattice__class_OSup__fin(_u2954, hAPP(c_Set_Oimage(_u2954, _u2954, _u2955), _u2956))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite__subset__induct ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite__subset__induct-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2959), _u2960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2959, tc_HOL_Obool)), _u2960), _u2961)) | ~hBOOL(hAPP(_u2962, c_Orderings_Obot__class_Obot(tc_fun(_u2959, tc_HOL_Obool)))) | hBOOL(hAPP(_u2962, _u2960)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2959), skolem78(_u2962, _u2961, _u2960, _u2959))) )).
% 12.51/12.69 cnf(fact_finite__subset__induct-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2959), _u2960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2959, tc_HOL_Obool)), _u2960), _u2961)) | ~hBOOL(hAPP(_u2962, c_Orderings_Obot__class_Obot(tc_fun(_u2959, tc_HOL_Obool)))) | hBOOL(hAPP(_u2962, _u2960)) | hBOOL(hAPP(hAPP(c_member(_u2959), skolem77(_u2962, _u2961, _u2960, _u2959)), _u2961)) )).
% 12.51/12.69 cnf(fact_finite__subset__induct-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2959), _u2960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2959, tc_HOL_Obool)), _u2960), _u2961)) | ~hBOOL(hAPP(_u2962, c_Orderings_Obot__class_Obot(tc_fun(_u2959, tc_HOL_Obool)))) | hBOOL(hAPP(_u2962, _u2960)) | ~hBOOL(hAPP(hAPP(c_member(_u2959), skolem77(_u2962, _u2961, _u2960, _u2959)), skolem78(_u2962, _u2961, _u2960, _u2959))) )).
% 12.51/12.69 cnf(fact_finite__subset__induct-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2959), _u2960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2959, tc_HOL_Obool)), _u2960), _u2961)) | ~hBOOL(hAPP(_u2962, c_Orderings_Obot__class_Obot(tc_fun(_u2959, tc_HOL_Obool)))) | hBOOL(hAPP(_u2962, _u2960)) | hBOOL(hAPP(_u2962, skolem78(_u2962, _u2961, _u2960, _u2959))) )).
% 12.51/12.69 cnf(fact_finite__subset__induct-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2959), _u2960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2959, tc_HOL_Obool)), _u2960), _u2961)) | ~hBOOL(hAPP(_u2962, c_Orderings_Obot__class_Obot(tc_fun(_u2959, tc_HOL_Obool)))) | hBOOL(hAPP(_u2962, _u2960)) | ~hBOOL(hAPP(_u2962, hAPP(hAPP(c_Set_Oinsert(_u2959), skolem77(_u2962, _u2961, _u2960, _u2959)), skolem78(_u2962, _u2961, _u2960, _u2959)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fun__left__comm_Ofold__rec ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fun__left__comm_Ofold__rec-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u2963, _u2964, _u2965) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2963), _u2966)) | ~hBOOL(hAPP(hAPP(c_member(_u2963), _u2967), _u2966)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u2963, _u2964, _u2965), _u2968), _u2966) = hAPP(hAPP(_u2965, _u2967), hAPP(hAPP(c_Finite__Set_Ofold(_u2963, _u2964, _u2965), _u2968), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2963, tc_HOL_Obool)), _u2966), hAPP(hAPP(c_Set_Oinsert(_u2963), _u2967), c_Orderings_Obot__class_Obot(tc_fun(_u2963, tc_HOL_Obool))))))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fold1__Un ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fold1__Un-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u2969) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2969), _u2970)) | ( _u2970 = c_Orderings_Obot__class_Obot(tc_fun(_u2969, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2969), _u2971)) | ( _u2971 = c_Orderings_Obot__class_Obot(tc_fun(_u2969, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2969, tc_HOL_Obool)), _u2970), _u2971) != c_Orderings_Obot__class_Obot(tc_fun(_u2969, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u2969, c_Groups_Otimes__class_Otimes(_u2969)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2969, tc_HOL_Obool)), _u2970), _u2971)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2969), hAPP(c_Finite__Set_Ofold1(_u2969, c_Groups_Otimes__class_Otimes(_u2969)), _u2970)), hAPP(c_Finite__Set_Ofold1(_u2969, c_Groups_Otimes__class_Otimes(_u2969)), _u2971))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_folding__one__idem_Ohom__commute ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_folding__one__idem_Ohom__commute-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u2974, _u2975, _u2976) | ( hAPP(_u2977, hAPP(hAPP(_u2975, skolem79(_u2978, _u2977, _u2976, _u2975, _u2974)), skolem80(_u2978, _u2977, _u2976, _u2975, _u2974))) != hAPP(hAPP(_u2975, hAPP(_u2977, skolem79(_u2978, _u2977, _u2976, _u2975, _u2974))), hAPP(_u2977, skolem80(_u2978, _u2977, _u2976, _u2975, _u2974)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2974), _u2978)) | ( _u2978 = c_Orderings_Obot__class_Obot(tc_fun(_u2974, tc_HOL_Obool))) | ( hAPP(_u2977, hAPP(_u2976, _u2978)) = hAPP(_u2976, hAPP(c_Set_Oimage(_u2974, _u2974, _u2977), _u2978))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fold__empty ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fold__empty-1, axiom, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u2979, _u2980, _u2981), _u2982), c_Orderings_Obot__class_Obot(tc_fun(_u2979, tc_HOL_Obool))) = _u2982) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fold1__eq__fold__idem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fold1__eq__fold__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u2983) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2983), _u2984)) | ( hAPP(c_Finite__Set_Ofold1(_u2983, c_Groups_Otimes__class_Otimes(_u2983)), hAPP(hAPP(c_Set_Oinsert(_u2983), _u2985), _u2984)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2983, _u2983, c_Groups_Otimes__class_Otimes(_u2983)), _u2985), _u2984)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fold1__eq__fold ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fold1__eq__fold-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u2986) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2986), _u2987)) | hBOOL(hAPP(hAPP(c_member(_u2986), _u2988), _u2987)) | ( hAPP(c_Finite__Set_Ofold1(_u2986, c_Groups_Otimes__class_Otimes(_u2986)), hAPP(hAPP(c_Set_Oinsert(_u2986), _u2988), _u2987)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2986, _u2986, c_Groups_Otimes__class_Otimes(_u2986)), _u2988), _u2987)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fun__left__comm_Ofold__fun__comm ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fun__left__comm_Ofold__fun__comm-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u2989, _u2990, _u2991) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2989), _u2992)) | ( hAPP(hAPP(_u2991, _u2993), hAPP(hAPP(c_Finite__Set_Ofold(_u2989, _u2990, _u2991), _u2994), _u2992)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2989, _u2990, _u2991), hAPP(hAPP(_u2991, _u2993), _u2994)), _u2992)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fold1__singleton__def ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fold1__singleton__def-1, axiom, ( ( _u2995 != c_Finite__Set_Ofold1(_u2996, _u2997)) | ( hAPP(_u2995, hAPP(hAPP(c_Set_Oinsert(_u2996), _u2998), c_Orderings_Obot__class_Obot(tc_fun(_u2996, tc_HOL_Obool)))) = _u2998) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fold1__singleton ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fold1__singleton-1, axiom, ( ( hAPP(c_Finite__Set_Ofold1(_u2999, _u3000), hAPP(hAPP(c_Set_Oinsert(_u2999), _u3001), c_Orderings_Obot__class_Obot(tc_fun(_u2999, tc_HOL_Obool)))) = _u3001) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fun__left__comm_Ofold__equality ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fun__left__comm_Ofold__equality-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u3002, _u3003, _u3004) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u3002, _u3003, _u3004, _u3005, _u3006), _u3007)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u3002, _u3003, _u3004), _u3005), _u3006) = _u3007) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_folding__one_Oeq__fold ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_folding__one_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u3008, _u3009, _u3010) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3008), _u3011)) | ( hAPP(_u3010, _u3011) = hAPP(c_Finite__Set_Ofold1(_u3008, _u3009), _u3011)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_union__fold__insert ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_union__fold__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3012), _u3013)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3012, tc_HOL_Obool)), _u3013), _u3014) = hAPP(hAPP(c_Finite__Set_Ofold(_u3012, tc_fun(_u3012, tc_HOL_Obool), c_Set_Oinsert(_u3012)), _u3014), _u3013)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fold__sup__insert ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fold__sup__insert-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u3015) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3015), _u3016)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u3015, _u3015, c_Lattices_Osemilattice__sup__class_Osup(_u3015)), _u3017), hAPP(hAPP(c_Set_Oinsert(_u3015), _u3018), _u3016)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3015), _u3018), hAPP(hAPP(c_Finite__Set_Ofold(_u3015, _u3015, c_Lattices_Osemilattice__sup__class_Osup(_u3015)), _u3017), _u3016))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fold__inf__insert ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fold__inf__insert-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u3019) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3019), _u3020)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u3019, _u3019, c_Lattices_Osemilattice__inf__class_Oinf(_u3019)), _u3021), hAPP(hAPP(c_Set_Oinsert(_u3019), _u3022), _u3020)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3019), _u3022), hAPP(hAPP(c_Finite__Set_Ofold(_u3019, _u3019, c_Lattices_Osemilattice__inf__class_Oinf(_u3019)), _u3021), _u3020))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_sup__Sup__fold__sup ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_sup__Sup__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3023) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3023), _u3024)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3023), _u3025), c_Complete__Lattice_OSup__class_OSup(_u3023, _u3024)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3023, _u3023, c_Lattices_Osemilattice__sup__class_Osup(_u3023)), _u3025), _u3024)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__Inf__fold__inf ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__Inf__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3026) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3026), _u3027)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3026), _u3028), c_Complete__Lattice_OInf__class_OInf(_u3026, _u3027)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3026, _u3026, c_Lattices_Osemilattice__inf__class_Oinf(_u3026)), _u3028), _u3027)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fun__left__comm_Ofold__graph__fold ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fun__left__comm_Ofold__graph__fold-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u3029, _u3030, _u3031) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3029), _u3032)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u3029, _u3030, _u3031, _u3033, _u3032), hAPP(hAPP(c_Finite__Set_Ofold(_u3029, _u3030, _u3031), _u3033), _u3032))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_folding__one__idem_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_folding__one__idem_Oeq__fold__idem_H-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u3034, _u3035, _u3036) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3034), _u3037)) | ( hAPP(_u3036, hAPP(hAPP(c_Set_Oinsert(_u3034), _u3038), _u3037)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3034, _u3034, _u3035), _u3038), _u3037)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Sup__fin_OF__eq ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Sup__fin_OF__eq-1, axiom, ( ~class_Lattices_Olattice(_u3039) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3039), _u3040)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3039, _u3040) = hAPP(c_Finite__Set_Ofold1(_u3039, c_Lattices_Osemilattice__sup__class_Osup(_u3039)), _u3040)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Inf__fin_OF__eq ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Inf__fin_OF__eq-1, axiom, ( ~class_Lattices_Olattice(_u3041) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3041), _u3042)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u3041, _u3042) = hAPP(c_Finite__Set_Ofold1(_u3041, c_Lattices_Osemilattice__inf__class_Oinf(_u3041)), _u3042)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_sup__le__fold__sup ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_sup__le__fold__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u3043) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3043), _u3044)) | ~hBOOL(hAPP(hAPP(c_member(_u3043), _u3045), _u3044)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3043), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3043), _u3045), _u3046)), hAPP(hAPP(c_Finite__Set_Ofold(_u3043, _u3043, c_Lattices_Osemilattice__sup__class_Osup(_u3043)), _u3046), _u3044))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fold__inf__le__inf ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fold__inf__le__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u3047) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3047), _u3048)) | ~hBOOL(hAPP(hAPP(c_member(_u3047), _u3049), _u3048)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3047), hAPP(hAPP(c_Finite__Set_Ofold(_u3047, _u3047, c_Lattices_Osemilattice__inf__class_Oinf(_u3047)), _u3050), _u3048)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3047), _u3049), _u3050))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Sup__fold__sup ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Sup__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3051) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3051), _u3052)) | ( c_Complete__Lattice_OSup__class_OSup(_u3051, _u3052) = hAPP(hAPP(c_Finite__Set_Ofold(_u3051, _u3051, c_Lattices_Osemilattice__sup__class_Osup(_u3051)), c_Orderings_Obot__class_Obot(_u3051)), _u3052)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Inf__fold__inf ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Inf__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3053) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3053), _u3054)) | ( c_Complete__Lattice_OInf__class_OInf(_u3053, _u3054) = hAPP(hAPP(c_Finite__Set_Ofold(_u3053, _u3053, c_Lattices_Osemilattice__inf__class_Oinf(_u3053)), c_Orderings_Otop__class_Otop(_u3053)), _u3054)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Sup__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Sup__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Lattices_Olattice(_u3055) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3055), _u3056)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3055, hAPP(hAPP(c_Set_Oinsert(_u3055), _u3057), _u3056)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3055, _u3055, c_Lattices_Osemilattice__sup__class_Osup(_u3055)), _u3057), _u3056)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Inf__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Inf__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Lattices_Olattice(_u3058) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3058), _u3059)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u3058, hAPP(hAPP(c_Set_Oinsert(_u3058), _u3060), _u3059)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3058, _u3058, c_Lattices_Osemilattice__inf__class_Oinf(_u3058)), _u3060), _u3059)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fun__left__comm_Ofold__insert2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fun__left__comm_Ofold__insert2-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u3061, _u3062, _u3063) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3061), _u3064)) | hBOOL(hAPP(hAPP(c_member(_u3061), _u3065), _u3064)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u3061, _u3062, _u3063), _u3066), hAPP(hAPP(c_Set_Oinsert(_u3061), _u3065), _u3064)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3061, _u3062, _u3063), hAPP(hAPP(_u3063, _u3065), _u3066)), _u3064)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fun__left__comm_Ofold__insert ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fun__left__comm_Ofold__insert-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u3067, _u3068, _u3069) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3067), _u3070)) | hBOOL(hAPP(hAPP(c_member(_u3067), _u3071), _u3070)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u3067, _u3068, _u3069), _u3072), hAPP(hAPP(c_Set_Oinsert(_u3067), _u3071), _u3070)) = hAPP(hAPP(_u3069, _u3071), hAPP(hAPP(c_Finite__Set_Ofold(_u3067, _u3068, _u3069), _u3072), _u3070))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_folding__one_Oeq__fold_H ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_folding__one_Oeq__fold_H-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u3073, _u3074, _u3075) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3073), _u3076)) | hBOOL(hAPP(hAPP(c_member(_u3073), _u3077), _u3076)) | ( hAPP(_u3075, hAPP(hAPP(c_Set_Oinsert(_u3073), _u3077), _u3076)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3073, _u3073, _u3074), _u3077), _u3076)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fold1__belowI ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fold1__belowI-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u3078) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3078), _u3079)) | ~hBOOL(hAPP(hAPP(c_member(_u3078), _u3080), _u3079)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3078), hAPP(c_Finite__Set_Ofold1(_u3078, c_Lattices_Osemilattice__inf__class_Oinf(_u3078)), _u3079)), _u3080)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_below__fold1__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_below__fold1__iff-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u3083) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3083), _u3084)) | ( _u3084 = c_Orderings_Obot__class_Obot(tc_fun(_u3083, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3083), _u3085), hAPP(c_Finite__Set_Ofold1(_u3083, c_Lattices_Osemilattice__inf__class_Oinf(_u3083)), _u3084))) | ~hBOOL(hAPP(hAPP(c_member(_u3083), _u3081), _u3084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3083), _u3085), _u3081)) )).
% 12.51/12.69 cnf(fact_below__fold1__iff-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u3083) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3083), _u3084)) | ( _u3084 = c_Orderings_Obot__class_Obot(tc_fun(_u3083, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3083), _u3085), hAPP(c_Finite__Set_Ofold1(_u3083, c_Lattices_Osemilattice__inf__class_Oinf(_u3083)), _u3084))) | hBOOL(hAPP(hAPP(c_member(_u3083), skolem81(_u3085, _u3084, _u3083)), _u3084)) )).
% 12.51/12.69 cnf(fact_below__fold1__iff-3, axiom, ( ~class_Lattices_Osemilattice__inf(_u3083) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3083), _u3084)) | ( _u3084 = c_Orderings_Obot__class_Obot(tc_fun(_u3083, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3083), _u3085), hAPP(c_Finite__Set_Ofold1(_u3083, c_Lattices_Osemilattice__inf__class_Oinf(_u3083)), _u3084))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3083), _u3085), skolem81(_u3085, _u3084, _u3083))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fold1__insert__idem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fold1__insert__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3086) | ( _u3087 = c_Orderings_Obot__class_Obot(tc_fun(_u3086, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3086), _u3087)) | ( hAPP(c_Finite__Set_Ofold1(_u3086, c_Groups_Otimes__class_Otimes(_u3086)), hAPP(hAPP(c_Set_Oinsert(_u3086), _u3088), _u3087)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3086), _u3088), hAPP(c_Finite__Set_Ofold1(_u3086, c_Groups_Otimes__class_Otimes(_u3086)), _u3087))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fold1__Un2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fold1__Un2-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3089) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3089), _u3090)) | ( _u3090 = c_Orderings_Obot__class_Obot(tc_fun(_u3089, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3089), _u3091)) | ( _u3091 = c_Orderings_Obot__class_Obot(tc_fun(_u3089, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u3089, c_Groups_Otimes__class_Otimes(_u3089)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3089, tc_HOL_Obool)), _u3090), _u3091)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3089), hAPP(c_Finite__Set_Ofold1(_u3089, c_Groups_Otimes__class_Otimes(_u3089)), _u3090)), hAPP(c_Finite__Set_Ofold1(_u3089, c_Groups_Otimes__class_Otimes(_u3089)), _u3091))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Sup__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Sup__fin_Oeq__fold_H-1, axiom, ( ~class_Lattices_Olattice(_u3092) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3092), _u3093)) | hBOOL(hAPP(hAPP(c_member(_u3092), _u3094), _u3093)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3092, hAPP(hAPP(c_Set_Oinsert(_u3092), _u3094), _u3093)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3092, _u3092, c_Lattices_Osemilattice__sup__class_Osup(_u3092)), _u3094), _u3093)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Inf__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Inf__fin_Oeq__fold_H-1, axiom, ( ~class_Lattices_Olattice(_u3095) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3095), _u3096)) | hBOOL(hAPP(hAPP(c_member(_u3095), _u3097), _u3096)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u3095, hAPP(hAPP(c_Set_Oinsert(_u3095), _u3097), _u3096)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3095, _u3095, c_Lattices_Osemilattice__inf__class_Oinf(_u3095)), _u3097), _u3096)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fun__left__comm_Ofold__insert__remove ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fun__left__comm_Ofold__insert__remove-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u3098, _u3099, _u3100) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3098), _u3101)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u3098, _u3099, _u3100), _u3102), hAPP(hAPP(c_Set_Oinsert(_u3098), _u3103), _u3101)) = hAPP(hAPP(_u3100, _u3103), hAPP(hAPP(c_Finite__Set_Ofold(_u3098, _u3099, _u3100), _u3102), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3098, tc_HOL_Obool)), _u3101), hAPP(hAPP(c_Set_Oinsert(_u3098), _u3103), c_Orderings_Obot__class_Obot(tc_fun(_u3098, tc_HOL_Obool))))))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fold1__insert ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fold1__insert-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u3104) | ( _u3105 = c_Orderings_Obot__class_Obot(tc_fun(_u3104, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3104), _u3105)) | hBOOL(hAPP(hAPP(c_member(_u3104), _u3106), _u3105)) | ( hAPP(c_Finite__Set_Ofold1(_u3104, c_Groups_Otimes__class_Otimes(_u3104)), hAPP(hAPP(c_Set_Oinsert(_u3104), _u3106), _u3105)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3104), _u3106), hAPP(c_Finite__Set_Ofold1(_u3104, c_Groups_Otimes__class_Otimes(_u3104)), _u3105))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_semilattice__big_OF__eq ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_semilattice__big_OF__eq-1, axiom, ( ~c_Big__Operators_Osemilattice__big(_u3107, _u3108, _u3109) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3107), _u3110)) | ( hAPP(_u3109, _u3110) = hAPP(c_Finite__Set_Ofold1(_u3107, _u3108), _u3110)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fold1__in ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fold1__in-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u3113) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3113), _u3114)) | ( _u3114 = c_Orderings_Obot__class_Obot(tc_fun(_u3113, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u3113), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3113), skolem82(_u3114, _u3113)), skolem83(_u3114, _u3113))), hAPP(hAPP(c_Set_Oinsert(_u3113), skolem82(_u3114, _u3113)), hAPP(hAPP(c_Set_Oinsert(_u3113), skolem83(_u3114, _u3113)), c_Orderings_Obot__class_Obot(tc_fun(_u3113, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u3113), hAPP(c_Finite__Set_Ofold1(_u3113, c_Groups_Otimes__class_Otimes(_u3113)), _u3114)), _u3114)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_hom__fold1__commute ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_hom__fold1__commute-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3117) | ( hAPP(_u3118, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3117), skolem84(_u3119, _u3118, _u3117)), skolem85(_u3119, _u3118, _u3117))) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3117), hAPP(_u3118, skolem84(_u3119, _u3118, _u3117))), hAPP(_u3118, skolem85(_u3119, _u3118, _u3117)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3117), _u3119)) | ( _u3119 = c_Orderings_Obot__class_Obot(tc_fun(_u3117, tc_HOL_Obool))) | ( hAPP(_u3118, hAPP(c_Finite__Set_Ofold1(_u3117, c_Groups_Otimes__class_Otimes(_u3117)), _u3119)) = hAPP(c_Finite__Set_Ofold1(_u3117, c_Groups_Otimes__class_Otimes(_u3117)), hAPP(c_Set_Oimage(_u3117, _u3117, _u3118), _u3119))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_folding__image__simple_Ounion__inter__neutral ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_folding__image__simple_Ounion__inter__neutral-1, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u3121, _u3122, _u3123, _u3124, _u3125, _u3126) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3122), _u3127)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3122), _u3128)) | ( hAPP(_u3126, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3122, tc_HOL_Obool)), _u3127), _u3128)) = hAPP(hAPP(_u3123, hAPP(_u3126, _u3127)), hAPP(_u3126, _u3128))) | hBOOL(hAPP(hAPP(c_member(_u3122), skolem86(_u3128, _u3127, _u3126, _u3125, _u3124, _u3123, _u3122)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3122, tc_HOL_Obool)), _u3127), _u3128))) )).
% 12.51/12.69 cnf(fact_folding__image__simple_Ounion__inter__neutral-2, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u3121, _u3122, _u3123, _u3124, _u3125, _u3126) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3122), _u3127)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3122), _u3128)) | ( hAPP(_u3126, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3122, tc_HOL_Obool)), _u3127), _u3128)) = hAPP(hAPP(_u3123, hAPP(_u3126, _u3127)), hAPP(_u3126, _u3128))) | ( hAPP(_u3125, skolem86(_u3128, _u3127, _u3126, _u3125, _u3124, _u3123, _u3122)) != _u3124) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fun__left__comm__idem_Ofold__insert__idem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fun__left__comm__idem_Ofold__insert__idem-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u3129, _u3130, _u3131) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3129), _u3132)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u3129, _u3130, _u3131), _u3133), hAPP(hAPP(c_Set_Oinsert(_u3129), _u3134), _u3132)) = hAPP(hAPP(_u3131, _u3134), hAPP(hAPP(c_Finite__Set_Ofold(_u3129, _u3130, _u3131), _u3133), _u3132))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fun__left__comm__idem_Ofold__insert__idem2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fun__left__comm__idem_Ofold__insert__idem2-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u3135, _u3136, _u3137) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3135), _u3138)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u3135, _u3136, _u3137), _u3139), hAPP(hAPP(c_Set_Oinsert(_u3135), _u3140), _u3138)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3135, _u3136, _u3137), hAPP(hAPP(_u3137, _u3140), _u3139)), _u3138)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setsum__diff1__ring ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setsum__diff1__ring-1, axiom, ( ~class_Rings_Oring(_u3141) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3142), _u3143)) | ~hBOOL(hAPP(hAPP(c_member(_u3142), _u3144), _u3143)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3142, _u3141), _u3145), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3142, tc_HOL_Obool)), _u3143), hAPP(hAPP(c_Set_Oinsert(_u3142), _u3144), c_Orderings_Obot__class_Obot(tc_fun(_u3142, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3141), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3142, _u3141), _u3145), _u3143)), hAPP(_u3145, _u3144))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setsum__diff1 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setsum__diff1-1, axiom, ( ~class_Groups_Oab__group__add(_u3146) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3147), _u3148)) | ~hBOOL(hAPP(hAPP(c_member(_u3147), _u3149), _u3148)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3147, _u3146), _u3150), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3147, tc_HOL_Obool)), _u3148), hAPP(hAPP(c_Set_Oinsert(_u3147), _u3149), c_Orderings_Obot__class_Obot(tc_fun(_u3147, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3146), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3147, _u3146), _u3150), _u3148)), hAPP(_u3150, _u3149))) )).
% 12.51/12.69 cnf(fact_setsum__diff1-2, axiom, ( ~class_Groups_Oab__group__add(_u3146) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3147), _u3148)) | hBOOL(hAPP(hAPP(c_member(_u3147), _u3149), _u3148)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3147, _u3146), _u3150), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3147, tc_HOL_Obool)), _u3148), hAPP(hAPP(c_Set_Oinsert(_u3147), _u3149), c_Orderings_Obot__class_Obot(tc_fun(_u3147, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3147, _u3146), _u3150), _u3148)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setprod_Oremove ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setprod_Oremove-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3151) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3152), _u3153)) | ~hBOOL(hAPP(hAPP(c_member(_u3152), _u3154), _u3153)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3152, _u3151), _u3155), _u3153) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3151), hAPP(_u3155, _u3154)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3152, _u3151), _u3155), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3152, tc_HOL_Obool)), _u3153), hAPP(hAPP(c_Set_Oinsert(_u3152), _u3154), c_Orderings_Obot__class_Obot(tc_fun(_u3152, tc_HOL_Obool))))))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fun__left__comm__idem_Ofun__left__idem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fun__left__comm__idem_Ofun__left__idem-1, axiom, ( ( hAPP(hAPP(_u3158, _u3159), hAPP(hAPP(_u3158, _u3159), _u3160)) = hAPP(hAPP(_u3158, _u3159), _u3160)) | ~c_Finite__Set_Ofun__left__comm__idem(_u3156, _u3157, _u3158) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setsum__diff__nat__ivl ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setsum__diff__nat__ivl-1, axiom, ( ~class_Groups_Oab__group__add(_u3161) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3162), _u3163)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3163), _u3164)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3161), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u3161), _u3165), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u3162), _u3164))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u3161), _u3165), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u3162), _u3163))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u3161), _u3165), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u3163), _u3164))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fun__left__comm__idem__insert ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fun__left__comm__idem__insert-1, axiom, ( c_Finite__Set_Ofun__left__comm__idem(_u3166, tc_fun(_u3166, tc_HOL_Obool), c_Set_Oinsert(_u3166)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fun__left__comm__idem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fun__left__comm__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3167) | c_Finite__Set_Ofun__left__comm__idem(_u3167, _u3167, c_Groups_Otimes__class_Otimes(_u3167)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fun__left__comm__idem__sup ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fun__left__comm__idem__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u3168) | c_Finite__Set_Ofun__left__comm__idem(_u3168, _u3168, c_Lattices_Osemilattice__sup__class_Osup(_u3168)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fun__left__comm__idem__inf ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fun__left__comm__idem__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u3169) | c_Finite__Set_Ofun__left__comm__idem(_u3169, _u3169, c_Lattices_Osemilattice__inf__class_Oinf(_u3169)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setsum__diff__nat ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setsum__diff__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3170), _u3171)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3170, tc_HOL_Obool)), _u3171), _u3172)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3170, tc_Nat_Onat), _u3173), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3170, tc_HOL_Obool)), _u3172), _u3171)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3170, tc_Nat_Onat), _u3173), _u3172)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3170, tc_Nat_Onat), _u3173), _u3171))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setprod_Oinsert ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setprod_Oinsert-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3174) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3175), _u3176)) | hBOOL(hAPP(hAPP(c_member(_u3175), _u3177), _u3176)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3175, _u3174), _u3178), hAPP(hAPP(c_Set_Oinsert(_u3175), _u3177), _u3176)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3174), hAPP(_u3178, _u3177)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3175, _u3174), _u3178), _u3176))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setprod__insert ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setprod__insert-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3179) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3180), _u3181)) | hBOOL(hAPP(hAPP(c_member(_u3180), _u3182), _u3181)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3180, _u3179), _u3183), hAPP(hAPP(c_Set_Oinsert(_u3180), _u3182), _u3181)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3179), hAPP(_u3183, _u3182)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3180, _u3179), _u3183), _u3181))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setprod__Un__Int ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setprod__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3184) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3185), _u3186)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3185), _u3187)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3184), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3185, _u3184), _u3188), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3185, tc_HOL_Obool)), _u3186), _u3187))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3185, _u3184), _u3188), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3185, tc_HOL_Obool)), _u3186), _u3187))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3184), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3185, _u3184), _u3188), _u3186)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3185, _u3184), _u3188), _u3187))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setprod_Ounion__inter ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setprod_Ounion__inter-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3189) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3190), _u3191)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3190), _u3192)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3189), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3190, _u3189), _u3193), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3190, tc_HOL_Obool)), _u3191), _u3192))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3190, _u3189), _u3193), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3190, tc_HOL_Obool)), _u3191), _u3192))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3189), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3190, _u3189), _u3193), _u3191)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3190, _u3189), _u3193), _u3192))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setsum__diff1__nat ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setsum__diff1__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3198), _u3200), _u3202)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3198, tc_Nat_Onat), _u3204), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3198, tc_HOL_Obool)), _u3202), hAPP(hAPP(c_Set_Oinsert(_u3198), _u3200), c_Orderings_Obot__class_Obot(tc_fun(_u3198, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3198, tc_Nat_Onat), _u3204), _u3202)), hAPP(_u3204, _u3200))) )).
% 12.51/12.69 cnf(fact_setsum__diff1__nat-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u3199), _u3201), _u3203)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3199, tc_Nat_Onat), _u3205), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3199, tc_HOL_Obool)), _u3203), hAPP(hAPP(c_Set_Oinsert(_u3199), _u3201), c_Orderings_Obot__class_Obot(tc_fun(_u3199, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3199, tc_Nat_Onat), _u3205), _u3203)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setsum__diff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setsum__diff-1, axiom, ( ~class_Groups_Oab__group__add(_u3206) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3207), _u3208)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3207, tc_HOL_Obool)), _u3209), _u3208)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3207, _u3206), _u3210), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3207, tc_HOL_Obool)), _u3208), _u3209)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3206), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3207, _u3206), _u3210), _u3208)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3207, _u3206), _u3210), _u3209))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setprod_Oinsert__remove ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setprod_Oinsert__remove-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3211) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3212), _u3213)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3212, _u3211), _u3214), hAPP(hAPP(c_Set_Oinsert(_u3212), _u3215), _u3213)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3211), hAPP(_u3214, _u3215)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3212, _u3211), _u3214), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3212, tc_HOL_Obool)), _u3213), hAPP(hAPP(c_Set_Oinsert(_u3212), _u3215), c_Orderings_Obot__class_Obot(tc_fun(_u3212, tc_HOL_Obool))))))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setprod__Un__disjoint ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setprod__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3216) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3217), _u3218)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3217), _u3219)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3217, tc_HOL_Obool)), _u3218), _u3219) != c_Orderings_Obot__class_Obot(tc_fun(_u3217, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3217, _u3216), _u3220), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3217, tc_HOL_Obool)), _u3218), _u3219)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3216), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3217, _u3216), _u3220), _u3218)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3217, _u3216), _u3220), _u3219))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setprod_Ounion__disjoint ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setprod_Ounion__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3221) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3222), _u3223)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3222), _u3224)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3222, tc_HOL_Obool)), _u3223), _u3224) != c_Orderings_Obot__class_Obot(tc_fun(_u3222, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3222, _u3221), _u3225), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3222, tc_HOL_Obool)), _u3223), _u3224)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3221), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3222, _u3221), _u3225), _u3223)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3222, _u3221), _u3225), _u3224))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setsum__strict__mono ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setsum__strict__mono-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3227) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u3227) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3228), _u3229)) | ( _u3229 = c_Orderings_Obot__class_Obot(tc_fun(_u3228, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3227), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3228, _u3227), _u3230), _u3229)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3228, _u3227), _u3231), _u3229))) | hBOOL(hAPP(hAPP(c_member(_u3228), skolem87(_u3231, _u3230, _u3229, _u3228, _u3227)), _u3229)) )).
% 12.51/12.69 cnf(fact_setsum__strict__mono-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3227) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u3227) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3228), _u3229)) | ( _u3229 = c_Orderings_Obot__class_Obot(tc_fun(_u3228, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3227), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3228, _u3227), _u3230), _u3229)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3228, _u3227), _u3231), _u3229))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3227), hAPP(_u3230, skolem87(_u3231, _u3230, _u3229, _u3228, _u3227))), hAPP(_u3231, skolem87(_u3231, _u3230, _u3229, _u3228, _u3227)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setsum__diff1_H ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setsum__diff1_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3232) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3233), _u3234)) | ~hBOOL(hAPP(hAPP(c_member(_u3233), _u3235), _u3234)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3233, _u3232), _u3236), _u3234) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3232), hAPP(_u3236, _u3235)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3233, _u3232), _u3236), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3233, tc_HOL_Obool)), _u3234), hAPP(hAPP(c_Set_Oinsert(_u3233), _u3235), c_Orderings_Obot__class_Obot(tc_fun(_u3233, tc_HOL_Obool))))))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setsum_Oremove ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setsum_Oremove-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3237) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3238), _u3239)) | ~hBOOL(hAPP(hAPP(c_member(_u3238), _u3240), _u3239)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3238, _u3237), _u3241), _u3239) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3237), hAPP(_u3241, _u3240)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3238, _u3237), _u3241), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3238, tc_HOL_Obool)), _u3239), hAPP(hAPP(c_Set_Oinsert(_u3238), _u3240), c_Orderings_Obot__class_Obot(tc_fun(_u3238, tc_HOL_Obool))))))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_inf__le__fold__inf ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_inf__le__fold__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u3243) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3243), _u3244)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3243), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3243), _u3245), _u3246)), hAPP(hAPP(c_Finite__Set_Ofold(_u3243, _u3243, c_Lattices_Osemilattice__inf__class_Oinf(_u3243)), _u3246), _u3244))) | hBOOL(hAPP(hAPP(c_member(_u3243), skolem88(_u3246, _u3245, _u3244, _u3243)), _u3244)) )).
% 12.51/12.69 cnf(fact_inf__le__fold__inf-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u3243) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3243), _u3244)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3243), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3243), _u3245), _u3246)), hAPP(hAPP(c_Finite__Set_Ofold(_u3243, _u3243, c_Lattices_Osemilattice__inf__class_Oinf(_u3243)), _u3246), _u3244))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3243), _u3245), skolem88(_u3246, _u3245, _u3244, _u3243))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fold__sup__le__sup ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fold__sup__le__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u3248) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3248), _u3249)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3248), hAPP(hAPP(c_Finite__Set_Ofold(_u3248, _u3248, c_Lattices_Osemilattice__sup__class_Osup(_u3248)), _u3251), _u3249)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3248), _u3250), _u3251))) | hBOOL(hAPP(hAPP(c_member(_u3248), skolem89(_u3251, _u3250, _u3249, _u3248)), _u3249)) )).
% 12.51/12.69 cnf(fact_fold__sup__le__sup-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u3248) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3248), _u3249)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3248), hAPP(hAPP(c_Finite__Set_Ofold(_u3248, _u3248, c_Lattices_Osemilattice__sup__class_Osup(_u3248)), _u3251), _u3249)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3248), _u3250), _u3251))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3248), skolem89(_u3251, _u3250, _u3249, _u3248)), _u3250)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setsum__ivl__cong ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setsum__ivl__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3253) | ~class_Orderings_Oord(_u3254) | ( _u3255 != _u3256) | ( _u3257 != _u3258) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3254, _u3253), _u3259), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3254, _u3255), _u3257)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3254, _u3253), _u3260), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3254, _u3256), _u3258))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3254), _u3256), skolem90(_u3260, _u3259, _u3258, _u3257, _u3256, _u3255, _u3254, _u3253))) )).
% 12.51/12.69 cnf(fact_setsum__ivl__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3253) | ~class_Orderings_Oord(_u3254) | ( _u3255 != _u3256) | ( _u3257 != _u3258) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3254, _u3253), _u3259), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3254, _u3255), _u3257)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3254, _u3253), _u3260), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3254, _u3256), _u3258))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3254), skolem90(_u3260, _u3259, _u3258, _u3257, _u3256, _u3255, _u3254, _u3253)), _u3258)) )).
% 12.51/12.69 cnf(fact_setsum__ivl__cong-3, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3253) | ~class_Orderings_Oord(_u3254) | ( _u3255 != _u3256) | ( _u3257 != _u3258) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3254, _u3253), _u3259), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3254, _u3255), _u3257)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3254, _u3253), _u3260), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3254, _u3256), _u3258))) | ( hAPP(_u3259, skolem90(_u3260, _u3259, _u3258, _u3257, _u3256, _u3255, _u3254, _u3253)) != hAPP(_u3260, skolem90(_u3260, _u3259, _u3258, _u3257, _u3256, _u3255, _u3254, _u3253))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_folding__image__simple__idem_Ounion__idem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_folding__image__simple__idem_Ounion__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3262), _u3267)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3262), _u3268)) | ( hAPP(_u3266, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3262, tc_HOL_Obool)), _u3267), _u3268)) = hAPP(hAPP(_u3263, hAPP(_u3266, _u3267)), hAPP(_u3266, _u3268))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u3261, _u3262, _u3263, _u3264, _u3265, _u3266) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_folding__image__simple__idem_Osubset__idem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_folding__image__simple__idem_Osubset__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3270), _u3275)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3270, tc_HOL_Obool)), _u3276), _u3275)) | ( hAPP(hAPP(_u3271, hAPP(_u3274, _u3276)), hAPP(_u3274, _u3275)) = hAPP(_u3274, _u3275)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u3269, _u3270, _u3271, _u3272, _u3273, _u3274) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite__atLeastLessThan ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite__atLeastLessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u3277), _u3278))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setsum__add__nat__ivl ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setsum__add__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3279) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3280), _u3281)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3281), _u3282)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3279), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u3279), _u3283), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u3280), _u3281))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u3279), _u3283), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u3281), _u3282))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u3279), _u3283), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u3280), _u3282))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite__nat__set__iff__bounded__le ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite__nat__set__iff__bounded__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3289)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u3284), _u3289)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3284), skolem91(_u3289))) )).
% 12.51/12.69 cnf(fact_finite__nat__set__iff__bounded__le-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3290)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem92(_u3290, _u3287)), _u3290)) )).
% 12.51/12.69 cnf(fact_finite__nat__set__iff__bounded__le-3, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3290)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem92(_u3290, _u3287)), _u3287)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ab__semigroup__add__class_Oadd__ac_I1_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ab__semigroup__add__class_Oadd__ac_I1_J-1, axiom, ( ~class_Groups_Oab__semigroup__add(_u3291) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3291), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3291), _u3292), _u3293)), _u3294) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3291), _u3292), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3291), _u3293), _u3294))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__left__cancel ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_add__left__cancel-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u3295) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3295), _u3296), _u3297) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3295), _u3296), _u3298)) | ( _u3297 = _u3298) )).
% 12.51/12.69 cnf(fact_add__left__cancel-2, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u3295) | ( _u3297 != _u3298) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3295), _u3296), _u3297) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3295), _u3296), _u3298)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__right__cancel ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_add__right__cancel-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u3299) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3299), _u3300), _u3301) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3299), _u3302), _u3301)) | ( _u3300 = _u3302) )).
% 12.51/12.69 cnf(fact_add__right__cancel-2, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u3299) | ( _u3300 != _u3302) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3299), _u3300), _u3301) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3299), _u3302), _u3301)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__left__imp__eq ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_add__left__imp__eq-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u3303) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3303), _u3304), _u3305) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3303), _u3304), _u3306)) | ( _u3305 = _u3306) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__imp__eq ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_add__imp__eq-1, axiom, ( ~class_Groups_Ocancel__ab__semigroup__add(_u3307) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3307), _u3308), _u3309) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3307), _u3308), _u3310)) | ( _u3309 = _u3310) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__right__imp__eq ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_add__right__imp__eq-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u3311) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3311), _u3312), _u3313) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3311), _u3314), _u3313)) | ( _u3312 = _u3314) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_atLeastLessThan__add__Un ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_atLeastLessThan__add__Un-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3315), _u3316)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u3315), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3316), _u3317)) = 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, _u3315), _u3316)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u3316), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3316), _u3317)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_folding__image__simple__idem_Oidem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_folding__image__simple__idem_Oidem-1, axiom, ( ( hAPP(hAPP(_u3320, _u3324), _u3324) = _u3324) | ~c_Finite__Set_Ofolding__image__simple__idem(_u3318, _u3319, _u3320, _u3321, _u3322, _u3323) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__le__imp__le__left ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_add__le__imp__le__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3325) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3325), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3325), _u3326), _u3327)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3325), _u3326), _u3328))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3325), _u3327), _u3328)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__le__imp__le__right ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_add__le__imp__le__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3329) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3329), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3329), _u3330), _u3331)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3329), _u3332), _u3331))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3329), _u3330), _u3332)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__mono ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_add__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u3333) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3333), _u3334), _u3335)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3333), _u3336), _u3337)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3333), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3333), _u3334), _u3336)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3333), _u3335), _u3337))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__left__mono ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_add__left__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u3338) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3338), _u3339), _u3340)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3338), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3338), _u3341), _u3339)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3338), _u3341), _u3340))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__right__mono ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_add__right__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u3342) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3342), _u3343), _u3344)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3342), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3342), _u3343), _u3345)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3342), _u3344), _u3345))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__le__cancel__left ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_add__le__cancel__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3346) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3346), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3346), _u3347), _u3348)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3346), _u3347), _u3349))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3346), _u3348), _u3349)) )).
% 12.51/12.69 cnf(fact_add__le__cancel__left-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3346) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3346), _u3348), _u3349)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3346), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3346), _u3347), _u3348)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3346), _u3347), _u3349))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__le__cancel__right ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_add__le__cancel__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3350) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3350), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3350), _u3351), _u3352)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3350), _u3353), _u3352))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3350), _u3351), _u3353)) )).
% 12.51/12.69 cnf(fact_add__le__cancel__right-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3350) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3350), _u3351), _u3353)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3350), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3350), _u3351), _u3352)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3350), _u3353), _u3352))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__less__imp__less__left ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_add__less__imp__less__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3354) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3354), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3354), _u3355), _u3356)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3354), _u3355), _u3357))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3354), _u3356), _u3357)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__less__imp__less__right ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_add__less__imp__less__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3358) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3358), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3358), _u3359), _u3360)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3358), _u3361), _u3360))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3358), _u3359), _u3361)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__strict__mono ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_add__strict__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u3362) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3362), _u3363), _u3364)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3362), _u3365), _u3366)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3362), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3362), _u3363), _u3365)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3362), _u3364), _u3366))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__strict__left__mono ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_add__strict__left__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u3367) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3367), _u3368), _u3369)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3367), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3367), _u3370), _u3368)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3367), _u3370), _u3369))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__strict__right__mono ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_add__strict__right__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u3371) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3371), _u3372), _u3373)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3371), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3371), _u3372), _u3374)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3371), _u3373), _u3374))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__less__cancel__left ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_add__less__cancel__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3375) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3375), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3375), _u3376), _u3377)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3375), _u3376), _u3378))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3375), _u3377), _u3378)) )).
% 12.51/12.69 cnf(fact_add__less__cancel__left-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3375) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3375), _u3377), _u3378)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3375), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3375), _u3376), _u3377)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3375), _u3376), _u3378))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__less__cancel__right ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_add__less__cancel__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3379) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3379), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3379), _u3380), _u3381)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3379), _u3382), _u3381))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3379), _u3380), _u3382)) )).
% 12.51/12.69 cnf(fact_add__less__cancel__right-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3379) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3379), _u3380), _u3382)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3379), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3379), _u3380), _u3381)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3379), _u3382), _u3381))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_combine__common__factor ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_combine__common__factor-1, axiom, ( ~class_Rings_Osemiring(_u3383) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3383), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3383), _u3384), _u3385)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3383), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3383), _u3386), _u3385)), _u3387)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3383), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3383), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3383), _u3384), _u3386)), _u3385)), _u3387)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_comm__semiring__class_Odistrib ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_comm__semiring__class_Odistrib-1, axiom, ( ~class_Rings_Ocomm__semiring(_u3388) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3388), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3388), _u3389), _u3390)), _u3391) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3388), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3388), _u3389), _u3391)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3388), _u3390), _u3391))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__diff__cancel ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_add__diff__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u3392) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3392), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3392), _u3393), _u3394)), _u3394) = _u3393) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_diff__add__cancel ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_diff__add__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u3395) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3395), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3395), _u3396), _u3397)), _u3397) = _u3396) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_minus__add__distrib ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_minus__add__distrib-1, axiom, ( ~class_Groups_Oab__group__add(_u3398) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3398), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3398), _u3399), _u3400)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3398), hAPP(c_Groups_Ouminus__class_Ouminus(_u3398), _u3399)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3398), _u3400))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_minus__add ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_minus__add-1, axiom, ( ~class_Groups_Ogroup__add(_u3401) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3401), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3401), _u3402), _u3403)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3401), hAPP(c_Groups_Ouminus__class_Ouminus(_u3401), _u3403)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3401), _u3402))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__minus__cancel ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_add__minus__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u3404) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3404), _u3405), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3404), hAPP(c_Groups_Ouminus__class_Ouminus(_u3404), _u3405)), _u3406)) = _u3406) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_minus__add__cancel ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_minus__add__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u3407) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3407), hAPP(c_Groups_Ouminus__class_Ouminus(_u3407), _u3408)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3407), _u3408), _u3409)) = _u3409) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__le__less__mono ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_add__le__less__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u3410) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3410), _u3411), _u3412)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3410), _u3413), _u3414)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3410), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3410), _u3411), _u3413)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3410), _u3412), _u3414))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__less__le__mono ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_add__less__le__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u3415) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3415), _u3416), _u3417)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3415), _u3418), _u3419)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3415), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3415), _u3416), _u3418)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3415), _u3417), _u3419))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_eq__add__iff1 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_eq__add__iff1-1, axiom, ( ~class_Rings_Oring(_u3420) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3420), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3420), _u3421), _u3422)), _u3423) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3420), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3420), _u3424), _u3422)), _u3425)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3420), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3420), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3420), _u3421), _u3424)), _u3422)), _u3423) = _u3425) )).
% 12.51/12.69 cnf(fact_eq__add__iff1-2, axiom, ( ~class_Rings_Oring(_u3420) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3420), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3420), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3420), _u3421), _u3424)), _u3422)), _u3423) != _u3425) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3420), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3420), _u3421), _u3422)), _u3423) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3420), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3420), _u3424), _u3422)), _u3425)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_eq__add__iff2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_eq__add__iff2-1, axiom, ( ~class_Rings_Oring(_u3426) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3426), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3426), _u3427), _u3428)), _u3429) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3426), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3426), _u3430), _u3428)), _u3431)) | ( _u3429 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3426), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3426), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3426), _u3430), _u3427)), _u3428)), _u3431)) )).
% 12.51/12.69 cnf(fact_eq__add__iff2-2, axiom, ( ~class_Rings_Oring(_u3426) | ( _u3429 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3426), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3426), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3426), _u3430), _u3427)), _u3428)), _u3431)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3426), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3426), _u3427), _u3428)), _u3429) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3426), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3426), _u3430), _u3428)), _u3431)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_diff__def ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_diff__def-1, axiom, ( ~class_Groups_Ogroup__add(_u3432) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3432), _u3433), _u3434) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3432), _u3433), hAPP(c_Groups_Ouminus__class_Ouminus(_u3432), _u3434))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_ab__diff__minus ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_ab__diff__minus-1, axiom, ( ~class_Groups_Oab__group__add(_u3435) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3435), _u3436), _u3437) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3435), _u3436), hAPP(c_Groups_Ouminus__class_Ouminus(_u3435), _u3437))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_diff__minus__eq__add ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_diff__minus__eq__add-1, axiom, ( ~class_Groups_Ogroup__add(_u3438) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3438), _u3439), hAPP(c_Groups_Ouminus__class_Ouminus(_u3438), _u3440)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3438), _u3439), _u3440)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_le__add__iff1 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_le__add__iff1-1, axiom, ( ~class_Rings_Oordered__ring(_u3441) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3441), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3441), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3441), _u3442), _u3443)), _u3444)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3441), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3441), _u3445), _u3443)), _u3446))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3441), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3441), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3441), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3441), _u3442), _u3445)), _u3443)), _u3444)), _u3446)) )).
% 12.51/12.69 cnf(fact_le__add__iff1-2, axiom, ( ~class_Rings_Oordered__ring(_u3441) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3441), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3441), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3441), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3441), _u3442), _u3445)), _u3443)), _u3444)), _u3446)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3441), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3441), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3441), _u3442), _u3443)), _u3444)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3441), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3441), _u3445), _u3443)), _u3446))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_le__add__iff2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_le__add__iff2-1, axiom, ( ~class_Rings_Oordered__ring(_u3447) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3447), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3447), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3447), _u3448), _u3449)), _u3450)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3447), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3447), _u3451), _u3449)), _u3452))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3447), _u3450), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3447), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3447), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3447), _u3451), _u3448)), _u3449)), _u3452))) )).
% 12.51/12.69 cnf(fact_le__add__iff2-2, axiom, ( ~class_Rings_Oordered__ring(_u3447) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3447), _u3450), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3447), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3447), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3447), _u3451), _u3448)), _u3449)), _u3452))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3447), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3447), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3447), _u3448), _u3449)), _u3450)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3447), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3447), _u3451), _u3449)), _u3452))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_less__add__iff1 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_less__add__iff1-1, axiom, ( ~class_Rings_Oordered__ring(_u3453) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3453), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3453), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3453), _u3454), _u3455)), _u3456)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3453), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3453), _u3457), _u3455)), _u3458))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3453), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3453), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3453), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3453), _u3454), _u3457)), _u3455)), _u3456)), _u3458)) )).
% 12.51/12.69 cnf(fact_less__add__iff1-2, axiom, ( ~class_Rings_Oordered__ring(_u3453) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3453), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3453), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3453), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3453), _u3454), _u3457)), _u3455)), _u3456)), _u3458)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3453), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3453), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3453), _u3454), _u3455)), _u3456)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3453), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3453), _u3457), _u3455)), _u3458))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_less__add__iff2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_less__add__iff2-1, axiom, ( ~class_Rings_Oordered__ring(_u3459) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3459), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3459), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3459), _u3460), _u3461)), _u3462)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3459), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3459), _u3463), _u3461)), _u3464))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3459), _u3462), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3459), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3459), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3459), _u3463), _u3460)), _u3461)), _u3464))) )).
% 12.51/12.69 cnf(fact_less__add__iff2-2, axiom, ( ~class_Rings_Oordered__ring(_u3459) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3459), _u3462), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3459), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3459), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3459), _u3463), _u3460)), _u3461)), _u3464))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3459), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3459), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3459), _u3460), _u3461)), _u3462)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3459), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3459), _u3463), _u3461)), _u3464))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setsum__Un__nat ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setsum__Un__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3465), _u3466)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3465), _u3467)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3465, tc_Nat_Onat), _u3468), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3465, tc_HOL_Obool)), _u3466), _u3467)) = 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(_u3465, tc_Nat_Onat), _u3468), _u3466)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3465, tc_Nat_Onat), _u3468), _u3467))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3465, tc_Nat_Onat), _u3468), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3465, tc_HOL_Obool)), _u3466), _u3467)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setsum__insert ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setsum__insert-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3469) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3470), _u3471)) | hBOOL(hAPP(hAPP(c_member(_u3470), _u3472), _u3471)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3470, _u3469), _u3473), hAPP(hAPP(c_Set_Oinsert(_u3470), _u3472), _u3471)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3469), hAPP(_u3473, _u3472)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3470, _u3469), _u3473), _u3471))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setsum_Oinsert ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setsum_Oinsert-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3474) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3475), _u3476)) | hBOOL(hAPP(hAPP(c_member(_u3475), _u3477), _u3476)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3475, _u3474), _u3478), hAPP(hAPP(c_Set_Oinsert(_u3475), _u3477), _u3476)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3474), hAPP(_u3478, _u3477)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3475, _u3474), _u3478), _u3476))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setsum__Un__Int ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setsum__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3479) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3480), _u3481)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3480), _u3482)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3479), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3480, _u3479), _u3483), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3480, tc_HOL_Obool)), _u3481), _u3482))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3480, _u3479), _u3483), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3480, tc_HOL_Obool)), _u3481), _u3482))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3479), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3480, _u3479), _u3483), _u3481)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3480, _u3479), _u3483), _u3482))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_folding__image__simple__idem_Oin__idem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_folding__image__simple__idem_Oin__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3485), _u3490)) | ~hBOOL(hAPP(hAPP(c_member(_u3485), _u3491), _u3490)) | ( hAPP(hAPP(_u3486, hAPP(_u3488, _u3491)), hAPP(_u3489, _u3490)) = hAPP(_u3489, _u3490)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u3484, _u3485, _u3486, _u3487, _u3488, _u3489) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_folding__image__simple__idem_Oinsert__idem ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_folding__image__simple__idem_Oinsert__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3493), _u3498)) | ( hAPP(_u3497, hAPP(hAPP(c_Set_Oinsert(_u3493), _u3499), _u3498)) = hAPP(hAPP(_u3494, hAPP(_u3496, _u3499)), hAPP(_u3497, _u3498))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u3492, _u3493, _u3494, _u3495, _u3496, _u3497) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setsum_Oinsert__remove ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setsum_Oinsert__remove-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3500) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3501), _u3502)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3501, _u3500), _u3503), hAPP(hAPP(c_Set_Oinsert(_u3501), _u3504), _u3502)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3500), hAPP(_u3503, _u3504)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3501, _u3500), _u3503), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3501, tc_HOL_Obool)), _u3502), hAPP(hAPP(c_Set_Oinsert(_u3501), _u3504), c_Orderings_Obot__class_Obot(tc_fun(_u3501, tc_HOL_Obool))))))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setsum__Un__disjoint ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setsum__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3505) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3506), _u3507)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3506), _u3508)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3506, tc_HOL_Obool)), _u3507), _u3508) != c_Orderings_Obot__class_Obot(tc_fun(_u3506, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3506, _u3505), _u3509), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3506, tc_HOL_Obool)), _u3507), _u3508)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3505), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3506, _u3505), _u3509), _u3507)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3506, _u3505), _u3509), _u3508))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setsum__Un ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setsum__Un-1, axiom, ( ~class_Groups_Oab__group__add(_u3510) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3511), _u3512)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3511), _u3513)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3511, _u3510), _u3514), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3511, tc_HOL_Obool)), _u3512), _u3513)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3510), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3510), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3511, _u3510), _u3514), _u3512)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3511, _u3510), _u3514), _u3513))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3511, _u3510), _u3514), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3511, tc_HOL_Obool)), _u3512), _u3513)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u3515) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3515), _u3516), _u3517) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3515), _u3516), hAPP(c_Groups_Ouminus__class_Ouminus(_u3515), _u3517))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_nat__less__add__iff2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_nat__less__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3518), _u3519)) | ~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), _u3518), _u3520)), _u3521)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3519), _u3520)), _u3522))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3521), 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), _u3519), _u3518)), _u3520)), _u3522))) )).
% 12.51/12.69 cnf(fact_nat__less__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3518), _u3519)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3521), 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), _u3519), _u3518)), _u3520)), _u3522))) | 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), _u3518), _u3520)), _u3521)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3519), _u3520)), _u3522))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_nat__less__add__iff1 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_nat__less__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3523), _u3524)) | ~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), _u3524), _u3525)), _u3526)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3523), _u3525)), _u3527))) | 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), _u3524), _u3523)), _u3525)), _u3526)), _u3527)) )).
% 12.51/12.69 cnf(fact_nat__less__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3523), _u3524)) | ~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), _u3524), _u3523)), _u3525)), _u3526)), _u3527)) | 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), _u3524), _u3525)), _u3526)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3523), _u3525)), _u3527))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_nat__eq__add__iff2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_nat__eq__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3528), _u3529)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3528), _u3530)), _u3531) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3529), _u3530)), _u3532)) | ( _u3531 = 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), _u3529), _u3528)), _u3530)), _u3532)) )).
% 12.51/12.69 cnf(fact_nat__eq__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3528), _u3529)) | ( _u3531 != 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), _u3529), _u3528)), _u3530)), _u3532)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3528), _u3530)), _u3531) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3529), _u3530)), _u3532)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_nat__diff__add__eq2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_nat__diff__add__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3533), _u3534)) | ( 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), _u3533), _u3535)), _u3536)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3534), _u3535)), _u3537)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3536), 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), _u3534), _u3533)), _u3535)), _u3537))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_nat__le__add__iff2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_nat__le__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3538), _u3539)) | ~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), _u3538), _u3540)), _u3541)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3539), _u3540)), _u3542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3541), 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), _u3539), _u3538)), _u3540)), _u3542))) )).
% 12.51/12.69 cnf(fact_nat__le__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3538), _u3539)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3541), 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), _u3539), _u3538)), _u3540)), _u3542))) | 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), _u3538), _u3540)), _u3541)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3539), _u3540)), _u3542))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_nat__eq__add__iff1 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_nat__eq__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3543), _u3544)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3544), _u3545)), _u3546) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3543), _u3545)), _u3547)) | ( 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), _u3544), _u3543)), _u3545)), _u3546) = _u3547) )).
% 12.51/12.69 cnf(fact_nat__eq__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3543), _u3544)) | ( 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), _u3544), _u3543)), _u3545)), _u3546) != _u3547) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3544), _u3545)), _u3546) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3543), _u3545)), _u3547)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_nat__diff__add__eq1 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_nat__diff__add__eq1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3548), _u3549)) | ( 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), _u3549), _u3550)), _u3551)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3548), _u3550)), _u3552)) = 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), _u3549), _u3548)), _u3550)), _u3551)), _u3552)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite__lessThan ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite__lessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u3553))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite__greaterThanAtMost ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite__greaterThanAtMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u3554, _u3555))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite__greaterThanLessThan ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite__greaterThanLessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u3556, _u3557))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite__atMost ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite__atMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u3558))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite__atLeastAtMost ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite__atLeastAtMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u3559, _u3560))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_left__add__mult__distrib ( axiom ) converted to clauses:
% 12.51/12.69 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), _u3561), _u3562)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3563), _u3562)), _u3564)) = 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), _u3561), _u3563)), _u3562)), _u3564)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_finite__nat__set__iff__bounded ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_finite__nat__set__iff__bounded-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3570)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u3565), _u3570)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3565), skolem93(_u3570))) )).
% 12.51/12.69 cnf(fact_finite__nat__set__iff__bounded-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3571)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem94(_u3571, _u3568)), _u3571)) )).
% 12.51/12.69 cnf(fact_finite__nat__set__iff__bounded-3, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3571)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem94(_u3571, _u3568)), _u3568)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_infinite__UNIV__nat ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_infinite__UNIV__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3572) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3572), _u3573), _u3574) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3572), _u3574), _u3573)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3575) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3575), _u3576), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3575), _u3577), _u3578)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3575), _u3577), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3575), _u3576), _u3578))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3579) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3579), _u3580), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3579), _u3581), _u3582)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3579), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3579), _u3580), _u3581)), _u3582)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3583) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3583), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3583), _u3584), _u3585)), _u3586) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3583), _u3584), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3583), _u3585), _u3586))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3587) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3587), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3587), _u3588), _u3589)), _u3590) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3587), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3587), _u3588), _u3590)), _u3589)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3591) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3591), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3591), _u3592), _u3593)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3591), _u3594), _u3595)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3591), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3591), _u3592), _u3594)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3591), _u3593), _u3595))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3596) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3596), _u3597), _u3598) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3596), _u3598), _u3597)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3599) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3599), _u3600), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3599), _u3601), _u3602)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3599), _u3601), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3599), _u3600), _u3602))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3603) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3603), _u3604), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3603), _u3605), _u3606)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3603), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3603), _u3604), _u3605)), _u3606)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3607) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3607), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3607), _u3608), _u3609)), _u3610) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3607), _u3608), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3607), _u3609), _u3610))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3611) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3611), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3611), _u3612), _u3613)), _u3614) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3611), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3611), _u3612), _u3614)), _u3613)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3615) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3615), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3615), _u3616), _u3617)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3615), _u3618), _u3619)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3615), _u3616), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3615), _u3617), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3615), _u3618), _u3619)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3620) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3620), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3620), _u3621), _u3622)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3620), _u3623), _u3624)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3620), _u3623), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3620), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3620), _u3621), _u3622)), _u3624))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3625) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3625), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3625), _u3626), _u3627)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3625), _u3628), _u3629)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3625), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3625), _u3626), _u3628)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3625), _u3627), _u3629))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_crossproduct__eq ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_crossproduct__eq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u3630) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3630), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3630), _u3631), _u3632)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3630), _u3633), _u3634)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3630), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3630), _u3631), _u3634)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3630), _u3633), _u3632))) | ( _u3631 = _u3633) | ( _u3632 = _u3634) )).
% 12.51/12.69 cnf(fact_crossproduct__eq-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u3630) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3630), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3630), _u3631), _u3632)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3630), _u3633), _u3634)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3630), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3630), _u3631), _u3634)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3630), _u3633), _u3632))) | ( _u3631 != _u3633) )).
% 12.51/12.69 cnf(fact_crossproduct__eq-3, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u3630) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3630), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3630), _u3631), _u3632)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3630), _u3633), _u3634)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3630), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3630), _u3631), _u3634)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3630), _u3633), _u3632))) | ( _u3632 != _u3634) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3635) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3635), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3635), _u3636), _u3637)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3635), _u3638), _u3637)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3635), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3635), _u3636), _u3638)), _u3637)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3639) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3639), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3639), _u3640), _u3641)), _u3642) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3639), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3639), _u3640), _u3642)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3639), _u3641), _u3642))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_crossproduct__noteq ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_crossproduct__noteq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u3643) | ( _u3644 = _u3645) | ( _u3646 = _u3647) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3643), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3643), _u3644), _u3646)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3643), _u3645), _u3647)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3643), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3643), _u3644), _u3647)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3643), _u3645), _u3646))) )).
% 12.51/12.69 cnf(fact_crossproduct__noteq-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u3643) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3643), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3643), _u3644), _u3646)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3643), _u3645), _u3647)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3643), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3643), _u3644), _u3647)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3643), _u3645), _u3646))) | ( _u3644 != _u3645) )).
% 12.51/12.69 cnf(fact_crossproduct__noteq-3, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u3643) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3643), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3643), _u3644), _u3646)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3643), _u3645), _u3647)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3643), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3643), _u3644), _u3647)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3643), _u3645), _u3646))) | ( _u3646 != _u3647) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3648) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3648), _u3649), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3648), _u3650), _u3651)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3648), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3648), _u3649), _u3650)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3648), _u3649), _u3651))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_nat__le__add__iff1 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_nat__le__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3652), _u3653)) | ~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), _u3653), _u3654)), _u3655)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3652), _u3654)), _u3656))) | 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), _u3653), _u3652)), _u3654)), _u3655)), _u3656)) )).
% 12.51/12.69 cnf(fact_nat__le__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3652), _u3653)) | ~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), _u3653), _u3652)), _u3654)), _u3655)), _u3656)) | 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), _u3653), _u3654)), _u3655)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3652), _u3654)), _u3656))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_diff__diff__right ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_diff__diff__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3657), _u3658)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3659), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3658), _u3657)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3659), _u3657)), _u3658)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_le__diff__conv ( axiom ) converted to clauses:
% 12.51/12.69 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), _u3663), _u3665)), _u3667)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3663), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3667), _u3665))) )).
% 12.51/12.69 cnf(fact_le__diff__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3664), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3668), _u3666))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3664), _u3666)), _u3668)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_le__add__diff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_le__add__diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3669), _u3670)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3671), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3670), _u3671)), _u3669))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_le__add__diff__inverse ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_le__add__diff__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3672), _u3673)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3672), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3673), _u3672)) = _u3673) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__diff__assoc ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_add__diff__assoc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3674), _u3675)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3676), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3675), _u3674)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3676), _u3675)), _u3674)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_le__diff__conv2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_le__diff__conv2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3677), _u3678)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3679), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3678), _u3677))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3679), _u3677)), _u3678)) )).
% 12.51/12.69 cnf(fact_le__diff__conv2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3677), _u3678)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3679), _u3677)), _u3678)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3679), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3678), _u3677))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_le__add__diff__inverse2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_le__add__diff__inverse2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3680), _u3681)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3681), _u3680)), _u3680) = _u3681) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_le__imp__diff__is__add ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_le__imp__diff__is__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3682), _u3683)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3683), _u3682) != _u3684) | ( _u3683 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3684), _u3682)) )).
% 12.51/12.69 cnf(fact_le__imp__diff__is__add-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3682), _u3683)) | ( _u3683 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3684), _u3682)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3683), _u3682) = _u3684) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_nat__less__cases ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_nat__less__cases-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3685), _u3686)) | ( _u3685 = _u3686) | hBOOL(hAPP(hAPP(_u3687, _u3686), _u3685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3686), _u3685)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_less__not__refl3 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_less__not__refl3-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3688), _u3689)) | ( _u3688 != _u3689) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_less__not__refl2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_less__not__refl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3690), _u3691)) | ( _u3691 != _u3690) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_less__irrefl__nat ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_less__irrefl__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3692), _u3692)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_linorder__neqE__nat ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_linorder__neqE__nat-1, axiom, ( ( _u3693 = _u3694) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3693), _u3694)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3694), _u3693)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_nat__neq__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_nat__neq__iff-1, axiom, ( ( _u3697 = _u3699) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3697), _u3699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3699), _u3697)) )).
% 12.51/12.69 cnf(fact_nat__neq__iff-2, axiom, ( ( _u3698 != _u3700) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3698), _u3700)) )).
% 12.51/12.69 cnf(fact_nat__neq__iff-3, axiom, ( ( _u3698 != _u3700) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3700), _u3698)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_less__not__refl ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_less__not__refl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3701), _u3701)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_nat__add__commute ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_nat__add__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3702), _u3703) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3703), _u3702)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_nat__add__left__commute ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_nat__add__left__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3704), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3705), _u3706)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3705), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3704), _u3706))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_nat__add__assoc ( axiom ) converted to clauses:
% 12.51/12.69 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), _u3707), _u3708)), _u3709) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3707), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3708), _u3709))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_nat__add__left__cancel ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_nat__add__left__cancel-1, axiom, ( ( _u3715 = _u3717) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3713), _u3715) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3713), _u3717)) )).
% 12.51/12.69 cnf(fact_nat__add__left__cancel-2, axiom, ( ( _u3716 != _u3718) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3714), _u3716) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3714), _u3718)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_nat__add__right__cancel ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_nat__add__right__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3722), _u3724) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3726), _u3724)) | ( _u3722 = _u3726) )).
% 12.51/12.69 cnf(fact_nat__add__right__cancel-2, axiom, ( ( _u3723 != _u3727) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3723), _u3725) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3727), _u3725)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_le__antisym ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_le__antisym-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3728), _u3729)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3729), _u3728)) | ( _u3728 = _u3729) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_le__trans ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_le__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3730), _u3731)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3731), _u3732)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3730), _u3732)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_eq__imp__le ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_eq__imp__le-1, axiom, ( ( _u3733 != _u3734) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3733), _u3734)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_nat__le__linear ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_nat__le__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3735), _u3736)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3736), _u3735)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_le__refl ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_le__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3737), _u3737)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_diff__commute ( axiom ) converted to clauses:
% 12.51/12.69 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), _u3738), _u3739)), _u3740) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3738), _u3740)), _u3739)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_nat__mult__commute ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_nat__mult__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3741), _u3742) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3742), _u3741)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_nat__mult__assoc ( axiom ) converted to clauses:
% 12.51/12.69 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), _u3743), _u3744)), _u3745) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3743), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3744), _u3745))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_not__add__less1 ( axiom ) converted to clauses:
% 12.51/12.69 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), _u3746), _u3747)), _u3746)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_not__add__less2 ( axiom ) converted to clauses:
% 12.51/12.69 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), _u3748), _u3749)), _u3749)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_nat__add__left__cancel__less ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_nat__add__left__cancel__less-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3755), _u3757)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3753), _u3755)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3753), _u3757))) )).
% 12.51/12.69 cnf(fact_nat__add__left__cancel__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3756), _u3758)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3754), _u3756)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3754), _u3758))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_trans__less__add1 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_trans__less__add1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3759), _u3760)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3759), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3760), _u3761))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_trans__less__add2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_trans__less__add2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3762), _u3763)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3762), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3764), _u3763))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__less__mono1 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_add__less__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3765), _u3766)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3765), _u3767)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3766), _u3767))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__less__mono ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_add__less__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3768), _u3769)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3770), _u3771)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3768), _u3770)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3769), _u3771))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_less__add__eq__less ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_less__add__eq__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3772), _u3773)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3774), _u3773) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3772), _u3775)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3774), _u3775)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__lessD1 ( axiom ) converted to clauses:
% 12.51/12.69 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), _u3776), _u3777)), _u3778)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3776), _u3778)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_less__or__eq__imp__le ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_less__or__eq__imp__le-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3779), _u3780)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3779), _u3780)) )).
% 12.51/12.69 cnf(fact_less__or__eq__imp__le-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3779), _u3780)) | ( _u3779 != _u3780) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_le__neq__implies__less ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_le__neq__implies__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3781), _u3782)) | ( _u3781 = _u3782) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3781), _u3782)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_less__imp__le__nat ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_less__imp__le__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3783), _u3784)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3783), _u3784)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_le__eq__less__or__eq ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_le__eq__less__or__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3787), _u3789)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3787), _u3789)) | ( _u3787 = _u3789) )).
% 12.51/12.69 cnf(fact_le__eq__less__or__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3788), _u3790)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3788), _u3790)) )).
% 12.51/12.69 cnf(fact_le__eq__less__or__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3788), _u3790)) | ( _u3788 != _u3790) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_nat__less__le ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_nat__less__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3793), _u3795)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3793), _u3795)) )).
% 12.51/12.69 cnf(fact_nat__less__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3793), _u3795)) | ( _u3793 != _u3795) )).
% 12.51/12.69 cnf(fact_nat__less__le-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3794), _u3796)) | ( _u3794 = _u3796) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3794), _u3796)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__leE ( axiom ) converted to clauses:
% 12.51/12.69 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), _u3797), _u3798)), _u3799)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3797), _u3799)) )).
% 12.51/12.69 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), _u3797), _u3798)), _u3799)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3798), _u3799)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__leD1 ( axiom ) converted to clauses:
% 12.51/12.69 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), _u3800), _u3801)), _u3802)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3800), _u3802)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__leD2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_add__leD2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3804), _u3805)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3803), _u3804)), _u3805)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__le__mono ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_add__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3806), _u3807)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3808), _u3809)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3806), _u3808)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3807), _u3809))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__le__mono1 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_add__le__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3810), _u3811)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3810), _u3812)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3811), _u3812))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_trans__le__add2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_trans__le__add2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3813), _u3814)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3813), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3815), _u3814))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_trans__le__add1 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_trans__le__add1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3816), _u3817)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3816), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3817), _u3818))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_nat__add__left__cancel__le ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_nat__add__left__cancel__le-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3824), _u3826)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3822), _u3824)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3822), _u3826))) )).
% 12.51/12.69 cnf(fact_nat__add__left__cancel__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3825), _u3827)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3823), _u3825)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3823), _u3827))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_le__iff__add ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_le__iff__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3832), _u3834)) | ( _u3834 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3832), skolem95(_u3834, _u3832))) )).
% 12.51/12.69 cnf(fact_le__iff__add-2, axiom, ( ( _u3835 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3833), _u3829)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3833), _u3835)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_le__add1 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_le__add1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3836), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3836), _u3837))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_le__add2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_le__add2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3838), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3839), _u3838))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_diff__less__mono2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_diff__less__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3840), _u3841)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3840), _u3842)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3842), _u3841)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3842), _u3840))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_less__imp__diff__less ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_less__imp__diff__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3843), _u3844)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3843), _u3845)), _u3844)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_diff__cancel2 ( axiom ) converted to clauses:
% 12.51/12.69 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), _u3846), _u3847)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3848), _u3847)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3846), _u3848)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_diff__cancel ( axiom ) converted to clauses:
% 12.51/12.69 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), _u3849), _u3850)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3849), _u3851)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3850), _u3851)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_diff__diff__left ( axiom ) converted to clauses:
% 12.51/12.69 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), _u3852), _u3853)), _u3854) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3852), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3853), _u3854))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_diff__add__inverse ( axiom ) converted to clauses:
% 12.51/12.69 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), _u3855), _u3856)), _u3855) = _u3856) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_diff__add__inverse2 ( axiom ) converted to clauses:
% 12.51/12.69 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), _u3857), _u3858)), _u3858) = _u3857) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__mult__distrib ( axiom ) converted to clauses:
% 12.51/12.69 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), _u3859), _u3860)), _u3861) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3859), _u3861)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3860), _u3861))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__mult__distrib2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_add__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3862), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3863), _u3864)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3862), _u3863)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3862), _u3864))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_le__diff__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_le__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3865), _u3866)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3865), _u3867)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3866), _u3865)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3867), _u3865))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3866), _u3867)) )).
% 12.51/12.69 cnf(fact_le__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3865), _u3866)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3865), _u3867)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3866), _u3867)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3866), _u3865)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3867), _u3865))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Nat_Odiff__diff__eq ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Nat_Odiff__diff__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3868), _u3869)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3868), _u3870)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3869), _u3868)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3870), _u3868)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3869), _u3870)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_eq__diff__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_eq__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3871), _u3872)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3871), _u3873)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3872), _u3871) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3873), _u3871)) | ( _u3872 = _u3873) )).
% 12.51/12.69 cnf(fact_eq__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3871), _u3872)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3871), _u3873)) | ( _u3872 != _u3873) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3872), _u3871) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3873), _u3871)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_diff__diff__cancel ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_diff__diff__cancel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3874), _u3875)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3875), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3875), _u3874)) = _u3874) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_diff__le__mono ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_diff__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3876), _u3877)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3876), _u3878)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3877), _u3878))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_diff__le__mono2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_diff__le__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3879), _u3880)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3881), _u3880)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3881), _u3879))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_diff__le__self ( axiom ) converted to clauses:
% 12.51/12.69 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), _u3882), _u3883)), _u3882)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_le__square ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_le__square-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3884), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3884), _u3884))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_le__cube ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_le__cube-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3885), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3885), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3885), _u3885)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_mult__le__mono1 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_mult__le__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3886), _u3887)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3886), _u3888)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3887), _u3888))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_mult__le__mono2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_mult__le__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3889), _u3890)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3891), _u3889)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3891), _u3890))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_mult__le__mono ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_mult__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3892), _u3893)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3894), _u3895)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3892), _u3894)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3893), _u3895))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_diff__mult__distrib2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_diff__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3896), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3897), _u3898)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3896), _u3897)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3896), _u3898))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_diff__mult__distrib ( axiom ) converted to clauses:
% 12.51/12.69 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), _u3899), _u3900)), _u3901) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3899), _u3901)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3900), _u3901))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__diff__inverse ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_add__diff__inverse-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3902), _u3903)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3903), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3902), _u3903)) = _u3902) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_less__diff__conv ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_less__diff__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3907), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3909), _u3911))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3907), _u3911)), _u3909)) )).
% 12.51/12.69 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), _u3908), _u3912)), _u3910)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3908), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3910), _u3912))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_less__diff__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_less__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3913), _u3914)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3913), _u3915)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3914), _u3913)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3915), _u3913))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3914), _u3915)) )).
% 12.51/12.69 cnf(fact_less__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3913), _u3914)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3913), _u3915)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3914), _u3915)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3914), _u3913)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3915), _u3913))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_diff__less__mono ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_diff__less__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3916), _u3917)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3918), _u3916)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3916), _u3918)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3917), _u3918))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_diff__add__assoc2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_diff__add__assoc2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3919), _u3920)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3920), _u3921)), _u3919) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3920), _u3919)), _u3921)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_add__diff__assoc2 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_add__diff__assoc2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3922), _u3923)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3923), _u3922)), _u3924) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3923), _u3924)), _u3922)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_diff__add__assoc ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_diff__add__assoc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3925), _u3926)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3927), _u3926)), _u3925) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3927), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3926), _u3925))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_termination__basic__simps_I4_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_termination__basic__simps_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3928), _u3929)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3928), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3930), _u3929))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_termination__basic__simps_I3_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_termination__basic__simps_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3931), _u3932)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3931), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3932), _u3933))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_termination__basic__simps_I5_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_termination__basic__simps_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3934), _u3935)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3934), _u3935)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_termination__basic__simps_I1_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_termination__basic__simps_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3936), _u3937)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3936), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3937), _u3938))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_termination__basic__simps_I2_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_termination__basic__simps_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3939), _u3940)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3939), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3941), _u3940))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_card__Diff2__less ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_card__Diff2__less-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3942), _u3943)) | ~hBOOL(hAPP(hAPP(c_member(_u3942), _u3944), _u3943)) | ~hBOOL(hAPP(hAPP(c_member(_u3942), _u3945), _u3943)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3942), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3942, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3942, tc_HOL_Obool)), _u3943), hAPP(hAPP(c_Set_Oinsert(_u3942), _u3944), c_Orderings_Obot__class_Obot(tc_fun(_u3942, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u3942), _u3945), c_Orderings_Obot__class_Obot(tc_fun(_u3942, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u3942), _u3943))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_card__Diff1__less ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_card__Diff1__less-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3946), _u3947)) | ~hBOOL(hAPP(hAPP(c_member(_u3946), _u3948), _u3947)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3946), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3946, tc_HOL_Obool)), _u3947), hAPP(hAPP(c_Set_Oinsert(_u3946), _u3948), c_Orderings_Obot__class_Obot(tc_fun(_u3946, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u3946), _u3947))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setsum__ub__add__nat ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setsum__ub__add__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3949) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3950), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3951), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u3949), _u3952), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u3950, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3951), _u3953))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3949), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u3949), _u3952), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u3950, _u3951))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u3949), _u3952), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3951), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3951), _u3953))))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_card__UNIV__unit ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_card__UNIV__unit-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Product__Type_Ounit), c_Orderings_Otop__class_Otop(tc_fun(tc_Product__Type_Ounit, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_one__reorient ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_one__reorient-1, axiom, ( ~class_Groups_Oone(_u3954) | ( c_Groups_Oone__class_Oone(_u3954) != _u3955) | ( _u3955 = c_Groups_Oone__class_Oone(_u3954)) )).
% 12.51/12.69 cnf(fact_one__reorient-2, axiom, ( ~class_Groups_Oone(_u3954) | ( _u3955 != c_Groups_Oone__class_Oone(_u3954)) | ( c_Groups_Oone__class_Oone(_u3954) = _u3955) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3956) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3956), _u3957), c_Groups_Oone__class_Oone(_u3956)) = _u3957) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3958) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3958), c_Groups_Oone__class_Oone(_u3958)), _u3959) = _u3959) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_mult_Ocomm__neutral ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_mult_Ocomm__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3960) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3960), _u3961), c_Groups_Oone__class_Oone(_u3960)) = _u3961) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_mult__1__right ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_mult__1__right-1, axiom, ( ~class_Groups_Omonoid__mult(_u3962) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3962), _u3963), c_Groups_Oone__class_Oone(_u3962)) = _u3963) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_mult__1 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_mult__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3964) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3964), c_Groups_Oone__class_Oone(_u3964)), _u3965) = _u3965) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_mult__1__left ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_mult__1__left-1, axiom, ( ~class_Groups_Omonoid__mult(_u3966) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3966), c_Groups_Oone__class_Oone(_u3966)), _u3967) = _u3967) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setprod__eq__1__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setprod__eq__1__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3970), _u3971)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3970, tc_Nat_Onat), _u3972), _u3971) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u3970), _u3968), _u3971)) | ( hAPP(_u3972, _u3968) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.51/12.69 cnf(fact_setprod__eq__1__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3970), _u3971)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3970, tc_Nat_Onat), _u3972), _u3971) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u3970), skolem96(_u3972, _u3971, _u3970)), _u3971)) )).
% 12.51/12.69 cnf(fact_setprod__eq__1__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3970), _u3971)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3970, tc_Nat_Onat), _u3972), _u3971) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u3972, skolem96(_u3972, _u3971, _u3970)) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_nat__mult__1 ( axiom ) converted to clauses:
% 12.51/12.69 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)), _u3973) = _u3973) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_nat__1__eq__mult__iff ( axiom ) converted to clauses:
% 12.51/12.69 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), _u3976), _u3978)) | ( _u3976 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.51/12.69 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), _u3976), _u3978)) | ( _u3978 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.51/12.69 cnf(fact_nat__1__eq__mult__iff-3, axiom, ( ( _u3977 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u3979 != 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), _u3977), _u3979)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_nat__mult__1__right ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_nat__mult__1__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3980), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u3980) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_nat__mult__eq__1__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_nat__mult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3983), _u3985) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u3983 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.51/12.69 cnf(fact_nat__mult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3983), _u3985) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u3985 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.51/12.69 cnf(fact_nat__mult__eq__1__iff-3, axiom, ( ( _u3984 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u3986 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3984), _u3986) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_card__lessThan ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_card__lessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u3987)) = _u3987) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_card_Oinsert ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_card_Oinsert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3988), _u3989)) | hBOOL(hAPP(hAPP(c_member(_u3988), _u3990), _u3989)) | ( hAPP(c_Finite__Set_Ocard(_u3988), hAPP(hAPP(c_Set_Oinsert(_u3988), _u3990), _u3989)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u3988), _u3989))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_card__eq__UNIV__imp__eq__UNIV ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_card__eq__UNIV__imp__eq__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3991), c_Orderings_Otop__class_Otop(tc_fun(_u3991, tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u3991), _u3992) != hAPP(c_Finite__Set_Ocard(_u3991), c_Orderings_Otop__class_Otop(tc_fun(_u3991, tc_HOL_Obool)))) | ( _u3992 = c_Orderings_Otop__class_Otop(tc_fun(_u3991, tc_HOL_Obool))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_less__add__one ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_less__add__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u3993) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3993), _u3994), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3993), _u3994), c_Groups_Oone__class_Oone(_u3993)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_less__1__mult ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_less__1__mult-1, axiom, ( ~class_Rings_Olinordered__semidom(_u3995) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3995), c_Groups_Oone__class_Oone(_u3995)), _u3996)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3995), c_Groups_Oone__class_Oone(_u3995)), _u3997)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3995), c_Groups_Oone__class_Oone(_u3995)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3995), _u3996), _u3997))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3998) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3998), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3998), _u3999), _u4000)), _u4000) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3998), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3998), _u3999), c_Groups_Oone__class_Oone(_u3998))), _u4000)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4001) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4001), _u4002), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4001), _u4003), _u4002)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4001), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4001), _u4003), c_Groups_Oone__class_Oone(_u4001))), _u4002)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4004) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4004), _u4005), _u4005) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4004), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4004), c_Groups_Oone__class_Oone(_u4004)), c_Groups_Oone__class_Oone(_u4004))), _u4005)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u4006) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4006), _u4007) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4006), hAPP(c_Groups_Ouminus__class_Ouminus(_u4006), c_Groups_Oone__class_Oone(_u4006))), _u4007)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_square__eq__1__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_square__eq__1__iff-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u4008) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4008), _u4009), _u4009) != c_Groups_Oone__class_Oone(_u4008)) | ( _u4009 = c_Groups_Oone__class_Oone(_u4008)) | ( _u4009 = hAPP(c_Groups_Ouminus__class_Ouminus(_u4008), c_Groups_Oone__class_Oone(_u4008))) )).
% 12.51/12.69 cnf(fact_square__eq__1__iff-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u4008) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4008), _u4009), _u4009) = c_Groups_Oone__class_Oone(_u4008)) | ( _u4009 != c_Groups_Oone__class_Oone(_u4008)) )).
% 12.51/12.69 cnf(fact_square__eq__1__iff-3, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u4008) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4008), _u4009), _u4009) = c_Groups_Oone__class_Oone(_u4008)) | ( _u4009 != hAPP(c_Groups_Ouminus__class_Ouminus(_u4008), c_Groups_Oone__class_Oone(_u4008))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_subset__card__intvl__is__intvl ( axiom ) converted to clauses:
% 12.51/12.69 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)), _u4010), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u4011), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4011), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u4010))))) | ( _u4010 = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u4011), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4011), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u4010)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_card__atLeastLessThan ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_card__atLeastLessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u4012), _u4013)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4013), _u4012)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setprod_Oempty ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setprod_Oempty-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4014) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4015, _u4014), _u4016), c_Orderings_Obot__class_Obot(tc_fun(_u4015, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u4014)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setprod__empty ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setprod__empty-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4017) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4018, _u4017), _u4019), c_Orderings_Obot__class_Obot(tc_fun(_u4018, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u4017)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setprod_Oinfinite ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setprod_Oinfinite-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4020) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4021), _u4022)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4021, _u4020), _u4023), _u4022) = c_Groups_Oone__class_Oone(_u4020)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setprod__infinite ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setprod__infinite-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4024) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4025), _u4026)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4025, _u4024), _u4027), _u4026) = c_Groups_Oone__class_Oone(_u4024)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_card__Diff__insert ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_card__Diff__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4028), _u4029)) | ~hBOOL(hAPP(hAPP(c_member(_u4028), _u4030), _u4029)) | hBOOL(hAPP(hAPP(c_member(_u4028), _u4030), _u4031)) | ( hAPP(c_Finite__Set_Ocard(_u4028), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4028, tc_HOL_Obool)), _u4029), hAPP(hAPP(c_Set_Oinsert(_u4028), _u4030), _u4031))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4028), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4028, tc_HOL_Obool)), _u4029), _u4031))), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_card_Oinsert__remove ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_card_Oinsert__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4032), _u4033)) | ( hAPP(c_Finite__Set_Ocard(_u4032), hAPP(hAPP(c_Set_Oinsert(_u4032), _u4034), _u4033)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u4032), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4032, tc_HOL_Obool)), _u4033), hAPP(hAPP(c_Set_Oinsert(_u4032), _u4034), c_Orderings_Obot__class_Obot(tc_fun(_u4032, tc_HOL_Obool))))))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_card__greaterThanAtMost ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_card__greaterThanAtMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u4035, _u4036)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4036), _u4035)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_card_Oremove ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_card_Oremove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4037), _u4038)) | ~hBOOL(hAPP(hAPP(c_member(_u4037), _u4039), _u4038)) | ( hAPP(c_Finite__Set_Ocard(_u4037), _u4038) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u4037), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4037, tc_HOL_Obool)), _u4038), hAPP(hAPP(c_Set_Oinsert(_u4037), _u4039), c_Orderings_Obot__class_Obot(tc_fun(_u4037, tc_HOL_Obool))))))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_card__Diff__singleton ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_card__Diff__singleton-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4040), _u4041)) | ~hBOOL(hAPP(hAPP(c_member(_u4040), _u4042), _u4041)) | ( hAPP(c_Finite__Set_Ocard(_u4040), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4040, tc_HOL_Obool)), _u4041), hAPP(hAPP(c_Set_Oinsert(_u4040), _u4042), c_Orderings_Obot__class_Obot(tc_fun(_u4040, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4040), _u4041)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_card__Diff__singleton__if ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_card__Diff__singleton__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4043), _u4044)) | ~hBOOL(hAPP(hAPP(c_member(_u4043), _u4045), _u4044)) | ( hAPP(c_Finite__Set_Ocard(_u4043), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4043, tc_HOL_Obool)), _u4044), hAPP(hAPP(c_Set_Oinsert(_u4043), _u4045), c_Orderings_Obot__class_Obot(tc_fun(_u4043, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4043), _u4044)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.51/12.69 cnf(fact_card__Diff__singleton__if-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4043), _u4044)) | hBOOL(hAPP(hAPP(c_member(_u4043), _u4045), _u4044)) | ( hAPP(c_Finite__Set_Ocard(_u4043), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4043, tc_HOL_Obool)), _u4044), hAPP(hAPP(c_Set_Oinsert(_u4043), _u4045), c_Orderings_Obot__class_Obot(tc_fun(_u4043, tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(_u4043), _u4044)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_card__insert__le ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_card__insert__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4046), _u4047)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4046), _u4047)), hAPP(c_Finite__Set_Ocard(_u4046), hAPP(hAPP(c_Set_Oinsert(_u4046), _u4048), _u4047)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_card__seteq ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_card__seteq-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4049), _u4050)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4049, tc_HOL_Obool)), _u4051), _u4050)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4049), _u4050)), hAPP(c_Finite__Set_Ocard(_u4049), _u4051))) | ( _u4051 = _u4050) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_card__mono ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_card__mono-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4052), _u4053)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4052, tc_HOL_Obool)), _u4054), _u4053)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4052), _u4054)), hAPP(c_Finite__Set_Ocard(_u4052), _u4053))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_card__image__le ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_card__image__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4055), _u4056)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4057), hAPP(c_Set_Oimage(_u4055, _u4057, _u4058), _u4056))), hAPP(c_Finite__Set_Ocard(_u4055), _u4056))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_psubset__card__mono ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_psubset__card__mono-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4059), _u4060)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4059, tc_HOL_Obool)), _u4061), _u4060)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4059), _u4061)), hAPP(c_Finite__Set_Ocard(_u4059), _u4060))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_card__Un__Int ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_card__Un__Int-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4062), _u4063)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4062), _u4064)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4062), _u4063)), hAPP(c_Finite__Set_Ocard(_u4062), _u4064)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4062), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4062, tc_HOL_Obool)), _u4063), _u4064))), hAPP(c_Finite__Set_Ocard(_u4062), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4062, tc_HOL_Obool)), _u4063), _u4064)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_card_Ounion__inter ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_card_Ounion__inter-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4065), _u4066)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4065), _u4067)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4065), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4065, tc_HOL_Obool)), _u4066), _u4067))), hAPP(c_Finite__Set_Ocard(_u4065), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4065, tc_HOL_Obool)), _u4066), _u4067))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4065), _u4066)), hAPP(c_Finite__Set_Ocard(_u4065), _u4067))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_card__Diff__subset ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_card__Diff__subset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4068), _u4069)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4068, tc_HOL_Obool)), _u4069), _u4070)) | ( hAPP(c_Finite__Set_Ocard(_u4068), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4068, tc_HOL_Obool)), _u4070), _u4069)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4068), _u4070)), hAPP(c_Finite__Set_Ocard(_u4068), _u4069))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_card__Diff__subset__Int ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_card__Diff__subset__Int-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4071), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4071, tc_HOL_Obool)), _u4072), _u4073))) | ( hAPP(c_Finite__Set_Ocard(_u4071), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4071, tc_HOL_Obool)), _u4072), _u4073)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4071), _u4072)), hAPP(c_Finite__Set_Ocard(_u4071), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4071, tc_HOL_Obool)), _u4072), _u4073)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_diff__card__le__card__Diff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_diff__card__le__card__Diff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4074), _u4075)) | 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(_u4074), _u4076)), hAPP(c_Finite__Set_Ocard(_u4074), _u4075))), hAPP(c_Finite__Set_Ocard(_u4074), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4074, tc_HOL_Obool)), _u4076), _u4075)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_card__psubset ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_card__psubset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4077), _u4078)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4077, tc_HOL_Obool)), _u4079), _u4078)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4077), _u4079)), hAPP(c_Finite__Set_Ocard(_u4077), _u4078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4077, tc_HOL_Obool)), _u4079), _u4078)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_card__Un__disjoint ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_card__Un__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4080), _u4081)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4080), _u4082)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4080, tc_HOL_Obool)), _u4081), _u4082) != c_Orderings_Obot__class_Obot(tc_fun(_u4080, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ocard(_u4080), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4080, tc_HOL_Obool)), _u4081), _u4082)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4080), _u4081)), hAPP(c_Finite__Set_Ocard(_u4080), _u4082))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_card__Diff1__le ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_card__Diff1__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4083), _u4084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4083), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4083, tc_HOL_Obool)), _u4084), hAPP(hAPP(c_Set_Oinsert(_u4083), _u4085), c_Orderings_Obot__class_Obot(tc_fun(_u4083, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u4083), _u4084))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setprod_Ounion__inter__neutral ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setprod_Ounion__inter__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4087) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4088), _u4089)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4088), _u4090)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4088, _u4087), _u4091), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4088, tc_HOL_Obool)), _u4089), _u4090)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4087), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4088, _u4087), _u4091), _u4089)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4088, _u4087), _u4091), _u4090))) | hBOOL(hAPP(hAPP(c_member(_u4088), skolem97(_u4091, _u4090, _u4089, _u4088, _u4087)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4088, tc_HOL_Obool)), _u4089), _u4090))) )).
% 12.51/12.69 cnf(fact_setprod_Ounion__inter__neutral-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4087) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4088), _u4089)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4088), _u4090)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4088, _u4087), _u4091), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4088, tc_HOL_Obool)), _u4089), _u4090)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4087), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4088, _u4087), _u4091), _u4089)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4088, _u4087), _u4091), _u4090))) | ( hAPP(_u4091, skolem97(_u4091, _u4090, _u4089, _u4088, _u4087)) != c_Groups_Oone__class_Oone(_u4087)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setprod__Un__one ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setprod__Un__one-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4093) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4094), _u4095)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4094), _u4096)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4094, _u4093), _u4097), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4094, tc_HOL_Obool)), _u4095), _u4096)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4093), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4094, _u4093), _u4097), _u4095)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4094, _u4093), _u4097), _u4096))) | hBOOL(hAPP(hAPP(c_member(_u4094), skolem98(_u4097, _u4096, _u4095, _u4094, _u4093)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4094, tc_HOL_Obool)), _u4095), _u4096))) )).
% 12.51/12.69 cnf(fact_setprod__Un__one-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4093) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4094), _u4095)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4094), _u4096)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4094, _u4093), _u4097), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4094, tc_HOL_Obool)), _u4095), _u4096)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4093), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4094, _u4093), _u4097), _u4095)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4094, _u4093), _u4097), _u4096))) | ( hAPP(_u4097, skolem98(_u4097, _u4096, _u4095, _u4094, _u4093)) != c_Groups_Oone__class_Oone(_u4093)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fold__Un__disjoint ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fold__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4098) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4099), _u4100)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4099), _u4101)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4099, tc_HOL_Obool)), _u4100), _u4101) != c_Orderings_Obot__class_Obot(tc_fun(_u4099, tc_HOL_Obool))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4098, _u4099, c_Groups_Otimes__class_Otimes(_u4098)), _u4102), c_Groups_Oone__class_Oone(_u4098)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4099, tc_HOL_Obool)), _u4100), _u4101)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4098), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4098, _u4099, c_Groups_Otimes__class_Otimes(_u4098)), _u4102), c_Groups_Oone__class_Oone(_u4098)), _u4100)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4098, _u4099, c_Groups_Otimes__class_Otimes(_u4098)), _u4102), c_Groups_Oone__class_Oone(_u4098)), _u4101))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setprod__mono__one__right ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setprod__mono__one__right-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4104) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4105), _u4106)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4105, tc_HOL_Obool)), _u4107), _u4106)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4105, _u4104), _u4108), _u4106) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4105, _u4104), _u4108), _u4107)) | hBOOL(hAPP(hAPP(c_member(_u4105), skolem99(_u4108, _u4107, _u4106, _u4105, _u4104)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4105, tc_HOL_Obool)), _u4106), _u4107))) )).
% 12.51/12.69 cnf(fact_setprod__mono__one__right-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4104) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4105), _u4106)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4105, tc_HOL_Obool)), _u4107), _u4106)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4105, _u4104), _u4108), _u4106) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4105, _u4104), _u4108), _u4107)) | ( hAPP(_u4108, skolem99(_u4108, _u4107, _u4106, _u4105, _u4104)) != c_Groups_Oone__class_Oone(_u4104)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setprod__mono__one__left ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setprod__mono__one__left-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4110) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4111), _u4112)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4111, tc_HOL_Obool)), _u4113), _u4112)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4111, _u4110), _u4114), _u4113) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4111, _u4110), _u4114), _u4112)) | hBOOL(hAPP(hAPP(c_member(_u4111), skolem100(_u4114, _u4113, _u4112, _u4111, _u4110)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4111, tc_HOL_Obool)), _u4112), _u4113))) )).
% 12.51/12.69 cnf(fact_setprod__mono__one__left-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4110) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4111), _u4112)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4111, tc_HOL_Obool)), _u4113), _u4112)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4111, _u4110), _u4114), _u4113) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4111, _u4110), _u4114), _u4112)) | ( hAPP(_u4114, skolem100(_u4114, _u4113, _u4112, _u4111, _u4110)) != c_Groups_Oone__class_Oone(_u4110)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_card__Suc__Diff1 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_card__Suc__Diff1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4115), _u4116)) | ~hBOOL(hAPP(hAPP(c_member(_u4115), _u4117), _u4116)) | ( hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u4115), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4115, tc_HOL_Obool)), _u4116), hAPP(hAPP(c_Set_Oinsert(_u4115), _u4117), c_Orderings_Obot__class_Obot(tc_fun(_u4115, tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(_u4115), _u4116)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_fold__image__Un__Int ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_fold__image__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4118) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4119), _u4120)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4119), _u4121)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4118), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4118, _u4119, c_Groups_Otimes__class_Otimes(_u4118)), _u4122), c_Groups_Oone__class_Oone(_u4118)), _u4120)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4118, _u4119, c_Groups_Otimes__class_Otimes(_u4118)), _u4122), c_Groups_Oone__class_Oone(_u4118)), _u4121)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4118), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4118, _u4119, c_Groups_Otimes__class_Otimes(_u4118)), _u4122), c_Groups_Oone__class_Oone(_u4118)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4119, tc_HOL_Obool)), _u4120), _u4121))), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4118, _u4119, c_Groups_Otimes__class_Otimes(_u4118)), _u4122), c_Groups_Oone__class_Oone(_u4118)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4119, tc_HOL_Obool)), _u4120), _u4121)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_convex__bound__lt ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_convex__bound__lt-1, axiom, ( ~class_Rings_Olinordered__semiring__1__strict(_u4123) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4123), _u4124), _u4125)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4123), _u4126), _u4125)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4123), c_Groups_Ozero__class_Ozero(_u4123)), _u4127)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4123), c_Groups_Ozero__class_Ozero(_u4123)), _u4128)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4123), _u4127), _u4128) != c_Groups_Oone__class_Oone(_u4123)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4123), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4123), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4123), _u4127), _u4124)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4123), _u4128), _u4126))), _u4125)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_less__zeroE ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_less__zeroE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4129), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_le0 ( axiom ) converted to clauses:
% 12.51/12.69 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)), _u4130)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_zero__less__Suc ( axiom ) converted to clauses:
% 12.51/12.69 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, _u4131))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Suc__mono ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Suc__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4132), _u4133)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4132)), hAPP(c_Nat_OSuc, _u4133))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_lessI ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_lessI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4134), hAPP(c_Nat_OSuc, _u4134))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_One__nat__def ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_One__nat__def-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setsum__shift__lb__Suc0__0__upt ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setsum__shift__lb__Suc0__0__upt-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4135) | ( hAPP(_u4136, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(_u4135)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4135), _u4136), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4137)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4135), _u4136), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4137))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_zero__reorient ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_zero__reorient-1, axiom, ( ~class_Groups_Ozero(_u4138) | ( c_Groups_Ozero__class_Ozero(_u4138) != _u4139) | ( _u4139 = c_Groups_Ozero__class_Ozero(_u4138)) )).
% 12.51/12.69 cnf(fact_zero__reorient-2, axiom, ( ~class_Groups_Ozero(_u4138) | ( _u4139 != c_Groups_Ozero__class_Ozero(_u4138)) | ( c_Groups_Ozero__class_Ozero(_u4138) = _u4139) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_atLeast__Suc__greaterThan ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_atLeast__Suc__greaterThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4140)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u4140)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_greaterThan__Suc ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_greaterThan__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4141)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u4141)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4141)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_atLeast__Suc ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_atLeast__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4142)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), _u4142)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u4142), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_setsum__shift__lb__Suc0__0 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_setsum__shift__lb__Suc0__0-1, axiom, ( ( hAPP(_u4143, 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), _u4143), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4144)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u4143), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u4144))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_lessThan__Suc__eq__insert__0 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_lessThan__Suc__eq__insert__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4145)) = 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), _u4145)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Zero__not__Suc ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Zero__not__Suc-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u4146)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_nat_Osimps_I2_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_nat_Osimps_I2_J-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u4147)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_n__not__Suc__n ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_n__not__Suc__n-1, axiom, ( ( _u4148 != hAPP(c_Nat_OSuc, _u4148)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Suc__not__Zero ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Suc__not__Zero-1, axiom, ( ( hAPP(c_Nat_OSuc, _u4149) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_nat_Osimps_I3_J ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_nat_Osimps_I3_J-1, axiom, ( ( hAPP(c_Nat_OSuc, _u4150) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Suc__n__not__n ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Suc__n__not__n-1, axiom, ( ( hAPP(c_Nat_OSuc, _u4151) != _u4151) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_nat_Oinject ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_nat_Oinject-1, axiom, ( ( hAPP(c_Nat_OSuc, _u4154) != hAPP(c_Nat_OSuc, _u4156)) | ( _u4154 = _u4156) )).
% 12.51/12.69 cnf(fact_nat_Oinject-2, axiom, ( ( _u4155 != _u4157) | ( hAPP(c_Nat_OSuc, _u4155) = hAPP(c_Nat_OSuc, _u4157)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Zero__neq__Suc ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Zero__neq__Suc-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u4158)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Suc__neq__Zero ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Suc__neq__Zero-1, axiom, ( ( hAPP(c_Nat_OSuc, _u4159) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_Suc__inject ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_Suc__inject-1, axiom, ( ( hAPP(c_Nat_OSuc, _u4160) != hAPP(c_Nat_OSuc, _u4161)) | ( _u4160 = _u4161) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_greaterThan__0 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_greaterThan__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_mult__eq__1__iff ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_mult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4164), _u4166) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4164 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.51/12.69 cnf(fact_mult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4164), _u4166) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4166 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.51/12.69 cnf(fact_mult__eq__1__iff-3, axiom, ( ( _u4165 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4167 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4165), _u4167) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_less__Suc__eq__0__disj ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_less__Suc__eq__0__disj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4172), hAPP(c_Nat_OSuc, _u4174))) | ( _u4172 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4172 = hAPP(c_Nat_OSuc, skolem101(_u4174, _u4172))) )).
% 12.51/12.69 cnf(fact_less__Suc__eq__0__disj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4172), hAPP(c_Nat_OSuc, _u4174))) | ( _u4172 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem101(_u4174, _u4172)), _u4174)) )).
% 12.51/12.69 cnf(fact_less__Suc__eq__0__disj-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4173), hAPP(c_Nat_OSuc, _u4175))) | ( _u4173 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.51/12.69 cnf(fact_less__Suc__eq__0__disj-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4173), hAPP(c_Nat_OSuc, _u4175))) | ( _u4173 != hAPP(c_Nat_OSuc, _u4169)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4169), _u4175)) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_less__Suc0 ( axiom ) converted to clauses:
% 12.51/12.69 cnf(fact_less__Suc0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4177), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u4177 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.51/12.69 cnf(fact_less__Suc0-2, axiom, ( ( _u4178 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4178), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.51/12.69
% 12.51/12.69 % Formula: fact_gr0__conv__Suc ( axiom ) converted to clauses:
% 12.51/12.70 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)), _u4182)) | ( _u4182 = hAPP(c_Nat_OSuc, skolem102(_u4182))) )).
% 12.51/12.70 cnf(fact_gr0__conv__Suc-2, axiom, ( ( _u4183 != hAPP(c_Nat_OSuc, _u4180)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4183)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_one__is__add ( axiom ) converted to clauses:
% 12.51/12.70 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), _u4186), _u4188)) | ( _u4186 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4186 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.51/12.70 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), _u4186), _u4188)) | ( _u4186 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4188 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.51/12.70 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), _u4186), _u4188)) | ( _u4188 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4186 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.51/12.70 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), _u4186), _u4188)) | ( _u4188 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4188 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.51/12.70 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), _u4187), _u4189)) | ( _u4187 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4189 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.51/12.70 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), _u4187), _u4189)) | ( _u4187 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4189 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_add__is__1 ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_add__is__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4192), _u4194) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4192 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4192 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.51/12.70 cnf(fact_add__is__1-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4192), _u4194) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4192 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4194 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.51/12.70 cnf(fact_add__is__1-3, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4192), _u4194) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4194 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4192 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.51/12.70 cnf(fact_add__is__1-4, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4192), _u4194) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4194 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4194 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.51/12.70 cnf(fact_add__is__1-5, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4193), _u4195) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4193 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4195 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.51/12.70 cnf(fact_add__is__1-6, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4193), _u4195) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4193 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4195 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_Suc__pred ( axiom ) converted to clauses:
% 12.51/12.70 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)), _u4196)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4196), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = _u4196) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_diff__Suc__less ( axiom ) converted to clauses:
% 12.51/12.70 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)), _u4197)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4197), hAPP(c_Nat_OSuc, _u4198))), _u4197)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_n__less__m__mult__n ( axiom ) converted to clauses:
% 12.51/12.70 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))), _u4199)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4200)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4199), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4200), _u4199))) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_n__less__n__mult__m ( axiom ) converted to clauses:
% 12.51/12.70 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))), _u4201)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4202)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4201), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4201), _u4202))) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_one__less__mult ( axiom ) converted to clauses:
% 12.51/12.70 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))), _u4203)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4204)) | 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), _u4204), _u4203))) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_one__le__mult__iff ( axiom ) converted to clauses:
% 12.51/12.70 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), _u4207), _u4209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4207)) )).
% 12.51/12.70 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), _u4207), _u4209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4209)) )).
% 12.51/12.70 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))), _u4208)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4210)) | 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), _u4208), _u4210))) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_setsum__eq__Suc0__iff ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_setsum__eq__Suc0__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4215), _u4216)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4215, tc_Nat_Onat), _u4217), _u4216) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u4215), skolem103(_u4217, _u4216, _u4215)), _u4216)) )).
% 12.51/12.70 cnf(fact_setsum__eq__Suc0__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4215), _u4216)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4215, tc_Nat_Onat), _u4217), _u4216) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u4217, skolem103(_u4217, _u4216, _u4215)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.51/12.70 cnf(fact_setsum__eq__Suc0__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4215), _u4216)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4215, tc_Nat_Onat), _u4217), _u4216) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u4215), _u4211), _u4216)) | ( skolem103(_u4217, _u4216, _u4215) = _u4211) | ( hAPP(_u4217, _u4211) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.51/12.70 cnf(fact_setsum__eq__Suc0__iff-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4215), _u4216)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4215, tc_Nat_Onat), _u4217), _u4216) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u4215), _u4214), _u4216)) | ( hAPP(_u4217, _u4214) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u4215), skolem104(_u4217, _u4216, _u4215, _u4214)), _u4216)) )).
% 12.51/12.70 cnf(fact_setsum__eq__Suc0__iff-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4215), _u4216)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4215, tc_Nat_Onat), _u4217), _u4216) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u4215), _u4214), _u4216)) | ( hAPP(_u4217, _u4214) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4214 != skolem104(_u4217, _u4216, _u4215, _u4214)) )).
% 12.51/12.70 cnf(fact_setsum__eq__Suc0__iff-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4215), _u4216)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4215, tc_Nat_Onat), _u4217), _u4216) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u4215), _u4214), _u4216)) | ( hAPP(_u4217, _u4214) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u4217, skolem104(_u4217, _u4216, _u4215, _u4214)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_not__less__eq ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_not__less__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4220), _u4222)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4222), hAPP(c_Nat_OSuc, _u4220))) )).
% 12.51/12.70 cnf(fact_not__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4223), hAPP(c_Nat_OSuc, _u4221))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4221), _u4223)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_less__Suc__eq ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_less__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4226), hAPP(c_Nat_OSuc, _u4228))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4226), _u4228)) | ( _u4226 = _u4228) )).
% 12.51/12.70 cnf(fact_less__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4227), hAPP(c_Nat_OSuc, _u4229))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4227), _u4229)) )).
% 12.51/12.70 cnf(fact_less__Suc__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4227), hAPP(c_Nat_OSuc, _u4229))) | ( _u4227 != _u4229) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_Suc__less__eq ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_Suc__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4232)), hAPP(c_Nat_OSuc, _u4234))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4232), _u4234)) )).
% 12.51/12.70 cnf(fact_Suc__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4233), _u4235)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4233)), hAPP(c_Nat_OSuc, _u4235))) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_not__less__less__Suc__eq ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_not__less__less__Suc__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4236), _u4237)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4236), hAPP(c_Nat_OSuc, _u4237))) | ( _u4236 = _u4237) )).
% 12.51/12.70 cnf(fact_not__less__less__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4236), _u4237)) | ( _u4236 != _u4237) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4236), hAPP(c_Nat_OSuc, _u4237))) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_less__antisym ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_less__antisym-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4238), _u4239)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4238), hAPP(c_Nat_OSuc, _u4239))) | ( _u4239 = _u4238) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_less__SucI ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_less__SucI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4240), _u4241)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4240), hAPP(c_Nat_OSuc, _u4241))) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_Suc__lessI ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_Suc__lessI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4242), _u4243)) | ( hAPP(c_Nat_OSuc, _u4242) = _u4243) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4242)), _u4243)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_less__trans__Suc ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_less__trans__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4244), _u4245)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4245), _u4246)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4244)), _u4246)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_less__SucE ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_less__SucE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4247), hAPP(c_Nat_OSuc, _u4248))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4247), _u4248)) | ( _u4247 = _u4248) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_Suc__lessD ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_Suc__lessD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4249)), _u4250)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4249), _u4250)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_Suc__less__SucD ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_Suc__less__SucD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4251)), hAPP(c_Nat_OSuc, _u4252))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4251), _u4252)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_add__Suc__shift ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_add__Suc__shift-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4253)), _u4254) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4253), hAPP(c_Nat_OSuc, _u4254))) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_add__Suc ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_add__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4255)), _u4256) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4255), _u4256))) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_add__Suc__right ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_add__Suc__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4257), hAPP(c_Nat_OSuc, _u4258)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4257), _u4258))) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_Suc__n__not__le__n ( axiom ) converted to clauses:
% 12.51/12.70 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, _u4259)), _u4259)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_not__less__eq__eq ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_not__less__eq__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4262), _u4264)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4264)), _u4262)) )).
% 12.51/12.70 cnf(fact_not__less__eq__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4265)), _u4263)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4263), _u4265)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_le__Suc__eq ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_le__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4268), hAPP(c_Nat_OSuc, _u4270))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4268), _u4270)) | ( _u4268 = hAPP(c_Nat_OSuc, _u4270)) )).
% 12.51/12.70 cnf(fact_le__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4269), hAPP(c_Nat_OSuc, _u4271))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4269), _u4271)) )).
% 12.51/12.70 cnf(fact_le__Suc__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4269), hAPP(c_Nat_OSuc, _u4271))) | ( _u4269 != hAPP(c_Nat_OSuc, _u4271)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_Suc__le__mono ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_Suc__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4274)), hAPP(c_Nat_OSuc, _u4276))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4274), _u4276)) )).
% 12.51/12.70 cnf(fact_Suc__le__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4275), _u4277)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4275)), hAPP(c_Nat_OSuc, _u4277))) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_le__SucI ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_le__SucI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4278), _u4279)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4278), hAPP(c_Nat_OSuc, _u4279))) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_le__SucE ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_le__SucE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4280), hAPP(c_Nat_OSuc, _u4281))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4280), _u4281)) | ( _u4280 = hAPP(c_Nat_OSuc, _u4281)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_Suc__leD ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_Suc__leD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4282)), _u4283)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4282), _u4283)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_diff__Suc__Suc ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_diff__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4284)), hAPP(c_Nat_OSuc, _u4285)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4284), _u4285)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_Suc__diff__diff ( axiom ) converted to clauses:
% 12.51/12.70 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, _u4286)), _u4287)), hAPP(c_Nat_OSuc, _u4288)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4286), _u4287)), _u4288)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_Suc__mult__cancel1 ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_Suc__mult__cancel1-1, axiom, ( ( _u4294 = _u4296) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4292)), _u4294) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4292)), _u4296)) )).
% 12.51/12.70 cnf(fact_Suc__mult__cancel1-2, axiom, ( ( _u4295 != _u4297) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4293)), _u4295) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4293)), _u4297)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_add__0__left ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_add__0__left-1, axiom, ( ~class_Groups_Omonoid__add(_u4298) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4298), c_Groups_Ozero__class_Ozero(_u4298)), _u4299) = _u4299) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_add__0 ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_add__0-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4300) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4300), c_Groups_Ozero__class_Ozero(_u4300)), _u4301) = _u4301) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_double__zero__sym ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_double__zero__sym-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u4302) | ( c_Groups_Ozero__class_Ozero(_u4302) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4302), _u4303), _u4303)) | ( _u4303 = c_Groups_Ozero__class_Ozero(_u4302)) )).
% 12.51/12.70 cnf(fact_double__zero__sym-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u4302) | ( _u4303 != c_Groups_Ozero__class_Ozero(_u4302)) | ( c_Groups_Ozero__class_Ozero(_u4302) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4302), _u4303), _u4303)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_add__0__right ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_add__0__right-1, axiom, ( ~class_Groups_Omonoid__add(_u4304) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4304), _u4305), c_Groups_Ozero__class_Ozero(_u4304)) = _u4305) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_add_Ocomm__neutral ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_add_Ocomm__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4306) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4306), _u4307), c_Groups_Ozero__class_Ozero(_u4306)) = _u4307) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4308) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4308), c_Groups_Ozero__class_Ozero(_u4308)), _u4309) = _u4309) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4310) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4310), _u4311), c_Groups_Ozero__class_Ozero(_u4310)) = _u4311) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_add__0__iff ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_add__0__iff-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u4312) | ( _u4313 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4312), _u4313), _u4314)) | ( _u4314 = c_Groups_Ozero__class_Ozero(_u4312)) )).
% 12.51/12.70 cnf(fact_add__0__iff-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u4312) | ( _u4314 != c_Groups_Ozero__class_Ozero(_u4312)) | ( _u4313 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4312), _u4313), _u4314)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_divisors__zero ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_divisors__zero-1, axiom, ( ~class_Rings_Ono__zero__divisors(_u4315) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4315), _u4316), _u4317) != c_Groups_Ozero__class_Ozero(_u4315)) | ( _u4316 = c_Groups_Ozero__class_Ozero(_u4315)) | ( _u4317 = c_Groups_Ozero__class_Ozero(_u4315)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_no__zero__divisors ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_no__zero__divisors-1, axiom, ( ~class_Rings_Ono__zero__divisors(_u4318) | ( _u4319 = c_Groups_Ozero__class_Ozero(_u4318)) | ( _u4320 = c_Groups_Ozero__class_Ozero(_u4318)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4318), _u4319), _u4320) != c_Groups_Ozero__class_Ozero(_u4318)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_mult__eq__0__iff ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_mult__eq__0__iff-1, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u4321) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4321), _u4322), _u4323) != c_Groups_Ozero__class_Ozero(_u4321)) | ( _u4322 = c_Groups_Ozero__class_Ozero(_u4321)) | ( _u4323 = c_Groups_Ozero__class_Ozero(_u4321)) )).
% 12.51/12.70 cnf(fact_mult__eq__0__iff-2, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u4321) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4321), _u4322), _u4323) = c_Groups_Ozero__class_Ozero(_u4321)) | ( _u4322 != c_Groups_Ozero__class_Ozero(_u4321)) )).
% 12.51/12.70 cnf(fact_mult__eq__0__iff-3, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u4321) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4321), _u4322), _u4323) = c_Groups_Ozero__class_Ozero(_u4321)) | ( _u4323 != c_Groups_Ozero__class_Ozero(_u4321)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_mult__zero__right ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_mult__zero__right-1, axiom, ( ~class_Rings_Omult__zero(_u4324) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4324), _u4325), c_Groups_Ozero__class_Ozero(_u4324)) = c_Groups_Ozero__class_Ozero(_u4324)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_mult__zero__left ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_mult__zero__left-1, axiom, ( ~class_Rings_Omult__zero(_u4326) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4326), c_Groups_Ozero__class_Ozero(_u4326)), _u4327) = c_Groups_Ozero__class_Ozero(_u4326)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4328) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4328), c_Groups_Ozero__class_Ozero(_u4328)), _u4329) = c_Groups_Ozero__class_Ozero(_u4328)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4330) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4330), _u4331), c_Groups_Ozero__class_Ozero(_u4330)) = c_Groups_Ozero__class_Ozero(_u4330)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_right__minus__eq ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_right__minus__eq-1, axiom, ( ~class_Groups_Ogroup__add(_u4332) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4332), _u4333), _u4334) != c_Groups_Ozero__class_Ozero(_u4332)) | ( _u4333 = _u4334) )).
% 12.51/12.70 cnf(fact_right__minus__eq-2, axiom, ( ~class_Groups_Ogroup__add(_u4332) | ( _u4333 != _u4334) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4332), _u4333), _u4334) = c_Groups_Ozero__class_Ozero(_u4332)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_eq__iff__diff__eq__0 ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_eq__iff__diff__eq__0-1, axiom, ( ~class_Groups_Oab__group__add(_u4335) | ( _u4336 != _u4337) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4335), _u4336), _u4337) = c_Groups_Ozero__class_Ozero(_u4335)) )).
% 12.51/12.70 cnf(fact_eq__iff__diff__eq__0-2, axiom, ( ~class_Groups_Oab__group__add(_u4335) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4335), _u4336), _u4337) != c_Groups_Ozero__class_Ozero(_u4335)) | ( _u4336 = _u4337) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_diff__self ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_diff__self-1, axiom, ( ~class_Groups_Ogroup__add(_u4338) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4338), _u4339), _u4339) = c_Groups_Ozero__class_Ozero(_u4338)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_diff__0__right ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_diff__0__right-1, axiom, ( ~class_Groups_Ogroup__add(_u4340) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4340), _u4341), c_Groups_Ozero__class_Ozero(_u4340)) = _u4341) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_one__neq__zero ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_one__neq__zero-1, axiom, ( ~class_Rings_Ozero__neq__one(_u4342) | ( c_Groups_Oone__class_Oone(_u4342) != c_Groups_Ozero__class_Ozero(_u4342)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_zero__neq__one ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_zero__neq__one-1, axiom, ( ~class_Rings_Ozero__neq__one(_u4343) | ( c_Groups_Ozero__class_Ozero(_u4343) != c_Groups_Oone__class_Oone(_u4343)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_minus__zero ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_minus__zero-1, axiom, ( ~class_Groups_Ogroup__add(_u4344) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4344), c_Groups_Ozero__class_Ozero(_u4344)) = c_Groups_Ozero__class_Ozero(_u4344)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_neg__0__equal__iff__equal ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_neg__0__equal__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u4345) | ( c_Groups_Ozero__class_Ozero(_u4345) != hAPP(c_Groups_Ouminus__class_Ouminus(_u4345), _u4346)) | ( c_Groups_Ozero__class_Ozero(_u4345) = _u4346) )).
% 12.51/12.70 cnf(fact_neg__0__equal__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u4345) | ( c_Groups_Ozero__class_Ozero(_u4345) != _u4346) | ( c_Groups_Ozero__class_Ozero(_u4345) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4345), _u4346)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_equal__neg__zero ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_equal__neg__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u4347) | ( _u4348 != hAPP(c_Groups_Ouminus__class_Ouminus(_u4347), _u4348)) | ( _u4348 = c_Groups_Ozero__class_Ozero(_u4347)) )).
% 12.51/12.70 cnf(fact_equal__neg__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u4347) | ( _u4348 != c_Groups_Ozero__class_Ozero(_u4347)) | ( _u4348 = hAPP(c_Groups_Ouminus__class_Ouminus(_u4347), _u4348)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_neg__equal__0__iff__equal ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_neg__equal__0__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u4349) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4349), _u4350) != c_Groups_Ozero__class_Ozero(_u4349)) | ( _u4350 = c_Groups_Ozero__class_Ozero(_u4349)) )).
% 12.51/12.70 cnf(fact_neg__equal__0__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u4349) | ( _u4350 != c_Groups_Ozero__class_Ozero(_u4349)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4349), _u4350) = c_Groups_Ozero__class_Ozero(_u4349)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_neg__equal__zero ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_neg__equal__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u4351) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4351), _u4352) != _u4352) | ( _u4352 = c_Groups_Ozero__class_Ozero(_u4351)) )).
% 12.51/12.70 cnf(fact_neg__equal__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u4351) | ( _u4352 != c_Groups_Ozero__class_Ozero(_u4351)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4351), _u4352) = _u4352) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_fold__image__empty ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_fold__image__empty-1, axiom, ( ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4353, _u4354, _u4355), _u4356), _u4357), c_Orderings_Obot__class_Obot(tc_fun(_u4354, tc_HOL_Obool))) = _u4357) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_not__less0 ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_not__less0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4358), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_neq0__conv ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_neq0__conv-1, axiom, ( ( _u4360 = 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)), _u4360)) )).
% 12.51/12.70 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)), _u4361)) | ( _u4361 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_less__nat__zero__code ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_less__nat__zero__code-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4362), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_gr__implies__not0 ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_gr__implies__not0-1, axiom, ( ( _u4364 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4363), _u4364)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_gr0I ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_gr0I-1, axiom, ( ( _u4365 = 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)), _u4365)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_add__eq__self__zero ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_add__eq__self__zero-1, axiom, ( ( _u4367 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4366), _u4367) != _u4366) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_add__is__0 ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_add__is__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4370), _u4372) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4370 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.51/12.70 cnf(fact_add__is__0-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4370), _u4372) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4372 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.51/12.70 cnf(fact_add__is__0-3, axiom, ( ( _u4371 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4373 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4371), _u4373) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_Nat_Oadd__0__right ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_Nat_Oadd__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4374), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u4374) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_plus__nat_Oadd__0 ( axiom ) converted to clauses:
% 12.51/12.70 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)), _u4375) = _u4375) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_atLeastLessThan__singleton ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_atLeastLessThan__singleton-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u4376), hAPP(c_Nat_OSuc, _u4376)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u4376), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_image__Suc__atLeastLessThan ( axiom ) converted to clauses:
% 12.51/12.70 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, _u4377), _u4378)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u4377)), hAPP(c_Nat_OSuc, _u4378))) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_less__eq__nat_Osimps_I1_J ( axiom ) converted to clauses:
% 12.51/12.70 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)), _u4379)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_le__0__eq ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_le__0__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4381), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4381 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.51/12.70 cnf(fact_le__0__eq-2, axiom, ( ( _u4382 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4382), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_diff__0__eq__0 ( axiom ) converted to clauses:
% 12.51/12.70 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)), _u4383) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_minus__nat_Odiff__0 ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_minus__nat_Odiff__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4384), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u4384) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_diff__self__eq__0 ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_diff__self__eq__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4385), _u4385) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_diffs0__imp__equal ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_diffs0__imp__equal-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4386), _u4387) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4387), _u4386) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4386 = _u4387) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_mult__cancel2 ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_mult__cancel2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4391), _u4393) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4395), _u4393)) | ( _u4391 = _u4395) | ( _u4393 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.51/12.70 cnf(fact_mult__cancel2-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4392), _u4394) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4396), _u4394)) | ( _u4392 != _u4396) )).
% 12.51/12.70 cnf(fact_mult__cancel2-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4392), _u4394) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4396), _u4394)) | ( _u4394 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_mult__cancel1 ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_mult__cancel1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4400), _u4402) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4400), _u4404)) | ( _u4402 = _u4404) | ( _u4400 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.51/12.70 cnf(fact_mult__cancel1-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4401), _u4403) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4401), _u4405)) | ( _u4403 != _u4405) )).
% 12.51/12.70 cnf(fact_mult__cancel1-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4401), _u4403) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4401), _u4405)) | ( _u4401 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_mult__is__0 ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_mult__is__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4408), _u4410) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4408 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4410 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.51/12.70 cnf(fact_mult__is__0-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4409), _u4411) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4409 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.51/12.70 cnf(fact_mult__is__0-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4409), _u4411) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4411 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_mult__0__right ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_mult__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4412), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_mult__0 ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_mult__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4413) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.51/12.70
% 12.51/12.70 % Formula: fact_nat__mult__eq__cancel__disj ( axiom ) converted to clauses:
% 12.51/12.70 cnf(fact_nat__mult__eq__cancel__disj-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4417), _u4419) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4417), _u4421)) | ( _u4417 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4419 = _u4421) )).
% 12.51/12.70 cnf(fact_nat__mult__eq__cancel__disj-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4418), _u4420) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4418), _u4422)) | ( _u4418 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.51/12.70 cnf(fact_nat__mult__eq__cancel__disj-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4418), _u4420) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4418), _u4422)) | ( _u4420 != _u4422) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_image__Suc__atLeastAtMost ( axiom ) converted to clauses:
% 12.53/12.70 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, _u4423, _u4424)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u4423), hAPP(c_Nat_OSuc, _u4424))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_lessThan__Suc ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_lessThan__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4425)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u4425), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u4425))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_atLeastLessThan0 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_atLeastLessThan0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u4426), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_atMost__Suc ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_atMost__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4427)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4427)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u4427))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_card__atMost ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_card__atMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u4428)) = hAPP(c_Nat_OSuc, _u4428)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_atLeast__0 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_atLeast__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_lessThan__0 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_lessThan__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_setsum_Oeq__fold ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_setsum_Oeq__fold-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4429) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4430), _u4431)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4430, _u4429), _u4432), _u4431) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4429, _u4430, c_Groups_Oplus__class_Oplus(_u4429)), _u4432), c_Groups_Ozero__class_Ozero(_u4429)), _u4431)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_setsum_OF__eq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_setsum_OF__eq-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4433) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4434), _u4435)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4434, _u4433), _u4436), _u4435) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4433, _u4434, c_Groups_Oplus__class_Oplus(_u4433)), _u4436), c_Groups_Ozero__class_Ozero(_u4433)), _u4435)) )).
% 12.53/12.70 cnf(fact_setsum_OF__eq-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4433) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4434), _u4435)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4434, _u4433), _u4436), _u4435) = c_Groups_Ozero__class_Ozero(_u4433)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_Suc__diff__1 ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u4437)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4437), c_Groups_Oone__class_Oone(tc_Nat_Onat))) = _u4437) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_atMost__0 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_atMost__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_setsum__op__ivl__Suc ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_setsum__op__ivl__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4439), _u4440)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4438), _u4441), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u4440), hAPP(c_Nat_OSuc, _u4439))) = c_Groups_Ozero__class_Ozero(_u4438)) )).
% 12.53/12.70 cnf(fact_setsum__op__ivl__Suc-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4438) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4439), _u4440)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4438), _u4441), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u4440), hAPP(c_Nat_OSuc, _u4439))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4438), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4438), _u4441), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u4440), _u4439))), hAPP(_u4441, _u4439))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_less__add__Suc1 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_less__add__Suc1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4442), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4442), _u4443)))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_less__add__Suc2 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_less__add__Suc2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4444), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4445), _u4444)))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_less__iff__Suc__add ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_less__iff__Suc__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4450), _u4452)) | ( _u4452 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4450), skolem105(_u4452, _u4450)))) )).
% 12.53/12.70 cnf(fact_less__iff__Suc__add-2, axiom, ( ( _u4453 != hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4451), _u4447))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4451), _u4453)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_less__eq__Suc__le ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_less__eq__Suc__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4456), _u4458)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4456)), _u4458)) )).
% 12.53/12.70 cnf(fact_less__eq__Suc__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4457)), _u4459)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4457), _u4459)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_less__Suc__eq__le ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_less__Suc__eq__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4462), hAPP(c_Nat_OSuc, _u4464))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4462), _u4464)) )).
% 12.53/12.70 cnf(fact_less__Suc__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4463), _u4465)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4463), hAPP(c_Nat_OSuc, _u4465))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_Suc__le__eq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_Suc__le__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4468)), _u4470)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4468), _u4470)) )).
% 12.53/12.70 cnf(fact_Suc__le__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4469), _u4471)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4469)), _u4471)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_le__imp__less__Suc ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_le__imp__less__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4472), _u4473)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4472), hAPP(c_Nat_OSuc, _u4473))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_Suc__leI ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_Suc__leI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4474), _u4475)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4474)), _u4475)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_le__less__Suc__eq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_le__less__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4476), _u4477)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4477), hAPP(c_Nat_OSuc, _u4476))) | ( _u4477 = _u4476) )).
% 12.53/12.70 cnf(fact_le__less__Suc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4476), _u4477)) | ( _u4477 != _u4476) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4477), hAPP(c_Nat_OSuc, _u4476))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_Suc__le__lessD ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_Suc__le__lessD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4478)), _u4479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4478), _u4479)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_setsum__cl__ivl__Suc ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_setsum__cl__ivl__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4480) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4481)), _u4482)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4480), _u4483), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4482, hAPP(c_Nat_OSuc, _u4481))) = c_Groups_Ozero__class_Ozero(_u4480)) )).
% 12.53/12.70 cnf(fact_setsum__cl__ivl__Suc-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4480) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4481)), _u4482)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4480), _u4483), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4482, hAPP(c_Nat_OSuc, _u4481))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4480), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4480), _u4483), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4482, _u4481))), hAPP(_u4483, hAPP(c_Nat_OSuc, _u4481)))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_diff__less__Suc ( axiom ) converted to clauses:
% 12.53/12.70 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), _u4484), _u4485)), hAPP(c_Nat_OSuc, _u4484))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_Suc__mult__less__cancel1 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_Suc__mult__less__cancel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4491), _u4493)) | ~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, _u4489)), _u4491)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4489)), _u4493))) )).
% 12.53/12.70 cnf(fact_Suc__mult__less__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4492), _u4494)) | 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, _u4490)), _u4492)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4490)), _u4494))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__Suc ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4495)), _u4496) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4496), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4495), _u4496))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__Suc__right ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__Suc__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4497), hAPP(c_Nat_OSuc, _u4498)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4497), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4497), _u4498))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_Suc__diff__le ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_Suc__diff__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4499), _u4500)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4500)), _u4499) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4500), _u4499))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_Suc__mult__le__cancel1 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_Suc__mult__le__cancel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4506), _u4508)) | ~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, _u4504)), _u4506)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4504)), _u4508))) )).
% 12.53/12.70 cnf(fact_Suc__mult__le__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4507), _u4509)) | 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, _u4505)), _u4507)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4505)), _u4509))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zero__le__double__add__iff__zero__le__single__add ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zero__le__double__add__iff__zero__le__single__add-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u4510) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4510), c_Groups_Ozero__class_Ozero(_u4510)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4510), _u4511), _u4511))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4510), c_Groups_Ozero__class_Ozero(_u4510)), _u4511)) )).
% 12.53/12.70 cnf(fact_zero__le__double__add__iff__zero__le__single__add-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u4510) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4510), c_Groups_Ozero__class_Ozero(_u4510)), _u4511)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4510), c_Groups_Ozero__class_Ozero(_u4510)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4510), _u4511), _u4511))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_double__add__le__zero__iff__single__add__le__zero ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_double__add__le__zero__iff__single__add__le__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u4512) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4512), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4512), _u4513), _u4513)), c_Groups_Ozero__class_Ozero(_u4512))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4512), _u4513), c_Groups_Ozero__class_Ozero(_u4512))) )).
% 12.53/12.70 cnf(fact_double__add__le__zero__iff__single__add__le__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u4512) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4512), _u4513), c_Groups_Ozero__class_Ozero(_u4512))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4512), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4512), _u4513), _u4513)), c_Groups_Ozero__class_Ozero(_u4512))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_add__nonneg__nonneg ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_add__nonneg__nonneg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u4514) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4514), c_Groups_Ozero__class_Ozero(_u4514)), _u4515)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4514), c_Groups_Ozero__class_Ozero(_u4514)), _u4516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4514), c_Groups_Ozero__class_Ozero(_u4514)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4514), _u4515), _u4516))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_add__nonneg__eq__0__iff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_add__nonneg__eq__0__iff-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u4517) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4517), c_Groups_Ozero__class_Ozero(_u4517)), _u4518)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4517), c_Groups_Ozero__class_Ozero(_u4517)), _u4519)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4517), _u4518), _u4519) != c_Groups_Ozero__class_Ozero(_u4517)) | ( _u4518 = c_Groups_Ozero__class_Ozero(_u4517)) )).
% 12.53/12.70 cnf(fact_add__nonneg__eq__0__iff-2, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u4517) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4517), c_Groups_Ozero__class_Ozero(_u4517)), _u4518)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4517), c_Groups_Ozero__class_Ozero(_u4517)), _u4519)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4517), _u4518), _u4519) != c_Groups_Ozero__class_Ozero(_u4517)) | ( _u4519 = c_Groups_Ozero__class_Ozero(_u4517)) )).
% 12.53/12.70 cnf(fact_add__nonneg__eq__0__iff-3, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u4517) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4517), c_Groups_Ozero__class_Ozero(_u4517)), _u4518)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4517), c_Groups_Ozero__class_Ozero(_u4517)), _u4519)) | ( _u4518 != c_Groups_Ozero__class_Ozero(_u4517)) | ( _u4519 != c_Groups_Ozero__class_Ozero(_u4517)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4517), _u4518), _u4519) = c_Groups_Ozero__class_Ozero(_u4517)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_add__increasing ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_add__increasing-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u4520) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4520), c_Groups_Ozero__class_Ozero(_u4520)), _u4521)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4520), _u4522), _u4523)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4520), _u4522), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4520), _u4521), _u4523))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_add__increasing2 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_add__increasing2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u4524) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4524), c_Groups_Ozero__class_Ozero(_u4524)), _u4525)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4524), _u4526), _u4527)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4524), _u4526), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4524), _u4527), _u4525))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_add__nonpos__nonpos ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_add__nonpos__nonpos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u4528) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4528), _u4529), c_Groups_Ozero__class_Ozero(_u4528))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4528), _u4530), c_Groups_Ozero__class_Ozero(_u4528))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4528), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4528), _u4529), _u4530)), c_Groups_Ozero__class_Ozero(_u4528))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_split__mult__neg__le ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_split__mult__neg__le-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u4531) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4531), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4531), _u4532), _u4533)), c_Groups_Ozero__class_Ozero(_u4531))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4531), c_Groups_Ozero__class_Ozero(_u4531)), _u4532)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4531), _u4533), c_Groups_Ozero__class_Ozero(_u4531))) )).
% 12.53/12.70 cnf(fact_split__mult__neg__le-2, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u4531) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4531), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4531), _u4532), _u4533)), c_Groups_Ozero__class_Ozero(_u4531))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4531), _u4532), c_Groups_Ozero__class_Ozero(_u4531))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4531), c_Groups_Ozero__class_Ozero(_u4531)), _u4533)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_split__mult__pos__le ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_split__mult__pos__le-1, axiom, ( ~class_Rings_Oordered__ring(_u4534) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4534), c_Groups_Ozero__class_Ozero(_u4534)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4534), _u4535), _u4536))) | ~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)), _u4536)) )).
% 12.53/12.70 cnf(fact_split__mult__pos__le-2, axiom, ( ~class_Rings_Oordered__ring(_u4534) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4534), c_Groups_Ozero__class_Ozero(_u4534)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4534), _u4535), _u4536))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4534), _u4535), c_Groups_Ozero__class_Ozero(_u4534))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4534), _u4536), c_Groups_Ozero__class_Ozero(_u4534))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__mono ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u4537) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4537), _u4538), _u4539)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4537), _u4540), _u4541)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4537), c_Groups_Ozero__class_Ozero(_u4537)), _u4539)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4537), c_Groups_Ozero__class_Ozero(_u4537)), _u4540)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4537), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4537), _u4538), _u4540)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4537), _u4539), _u4541))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__mono_H ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__mono_H-1, axiom, ( ~class_Rings_Oordered__semiring(_u4542) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4542), _u4543), _u4544)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4542), _u4545), _u4546)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4542), c_Groups_Ozero__class_Ozero(_u4542)), _u4543)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4542), c_Groups_Ozero__class_Ozero(_u4542)), _u4545)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4542), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4542), _u4543), _u4545)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4542), _u4544), _u4546))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__left__mono__neg ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__left__mono__neg-1, axiom, ( ~class_Rings_Oordered__ring(_u4547) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4547), _u4548), _u4549)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4547), _u4550), c_Groups_Ozero__class_Ozero(_u4547))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4547), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4547), _u4550), _u4549)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4547), _u4550), _u4548))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__right__mono__neg ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__right__mono__neg-1, axiom, ( ~class_Rings_Oordered__ring(_u4551) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4551), _u4552), _u4553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4551), _u4554), c_Groups_Ozero__class_Ozero(_u4551))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4551), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4551), _u4553), _u4554)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4551), _u4552), _u4554))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_comm__mult__left__mono ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_comm__mult__left__mono-1, axiom, ( ~class_Rings_Oordered__comm__semiring(_u4555) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4555), _u4556), _u4557)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4555), c_Groups_Ozero__class_Ozero(_u4555)), _u4558)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4555), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4555), _u4558), _u4556)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4555), _u4558), _u4557))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__left__mono ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__left__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u4559) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4559), _u4560), _u4561)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4559), c_Groups_Ozero__class_Ozero(_u4559)), _u4562)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4559), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4559), _u4562), _u4560)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4559), _u4562), _u4561))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__right__mono ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__right__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u4563) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4563), _u4564), _u4565)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4563), c_Groups_Ozero__class_Ozero(_u4563)), _u4566)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4563), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4563), _u4564), _u4566)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4563), _u4565), _u4566))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__nonpos__nonpos ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__nonpos__nonpos-1, axiom, ( ~class_Rings_Oordered__ring(_u4567) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4567), _u4568), c_Groups_Ozero__class_Ozero(_u4567))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4567), _u4569), c_Groups_Ozero__class_Ozero(_u4567))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4567), c_Groups_Ozero__class_Ozero(_u4567)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4567), _u4568), _u4569))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__nonpos__nonneg ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__nonpos__nonneg-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u4570) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4570), _u4571), c_Groups_Ozero__class_Ozero(_u4570))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4570), c_Groups_Ozero__class_Ozero(_u4570)), _u4572)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4570), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4570), _u4571), _u4572)), c_Groups_Ozero__class_Ozero(_u4570))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__nonneg__nonpos2 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__nonneg__nonpos2-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u4573) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4573), c_Groups_Ozero__class_Ozero(_u4573)), _u4574)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4573), _u4575), c_Groups_Ozero__class_Ozero(_u4573))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4573), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4573), _u4575), _u4574)), c_Groups_Ozero__class_Ozero(_u4573))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__nonneg__nonpos ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__nonneg__nonpos-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u4576) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4576), c_Groups_Ozero__class_Ozero(_u4576)), _u4577)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4576), _u4578), c_Groups_Ozero__class_Ozero(_u4576))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4576), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4576), _u4577), _u4578)), c_Groups_Ozero__class_Ozero(_u4576))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__nonneg__nonneg ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__nonneg__nonneg-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u4579) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4579), c_Groups_Ozero__class_Ozero(_u4579)), _u4580)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4579), c_Groups_Ozero__class_Ozero(_u4579)), _u4581)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4579), c_Groups_Ozero__class_Ozero(_u4579)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4579), _u4580), _u4581))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__le__0__iff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__le__0__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4582) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4582), _u4583), _u4584)), c_Groups_Ozero__class_Ozero(_u4582))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), c_Groups_Ozero__class_Ozero(_u4582)), _u4583)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), _u4583), c_Groups_Ozero__class_Ozero(_u4582))) )).
% 12.53/12.70 cnf(fact_mult__le__0__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4582) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4582), _u4583), _u4584)), c_Groups_Ozero__class_Ozero(_u4582))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), c_Groups_Ozero__class_Ozero(_u4582)), _u4583)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), c_Groups_Ozero__class_Ozero(_u4582)), _u4584)) )).
% 12.53/12.70 cnf(fact_mult__le__0__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4582) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4582), _u4583), _u4584)), c_Groups_Ozero__class_Ozero(_u4582))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), _u4584), c_Groups_Ozero__class_Ozero(_u4582))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), _u4583), c_Groups_Ozero__class_Ozero(_u4582))) )).
% 12.53/12.70 cnf(fact_mult__le__0__iff-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4582) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4582), _u4583), _u4584)), c_Groups_Ozero__class_Ozero(_u4582))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), _u4584), c_Groups_Ozero__class_Ozero(_u4582))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), c_Groups_Ozero__class_Ozero(_u4582)), _u4584)) )).
% 12.53/12.70 cnf(fact_mult__le__0__iff-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4582) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4582), _u4583), _u4584)), c_Groups_Ozero__class_Ozero(_u4582))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), c_Groups_Ozero__class_Ozero(_u4582)), _u4583)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), _u4584), c_Groups_Ozero__class_Ozero(_u4582))) )).
% 12.53/12.70 cnf(fact_mult__le__0__iff-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4582) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4582), _u4583), _u4584)), c_Groups_Ozero__class_Ozero(_u4582))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), _u4583), c_Groups_Ozero__class_Ozero(_u4582))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), c_Groups_Ozero__class_Ozero(_u4582)), _u4584)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zero__le__mult__iff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zero__le__mult__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4585) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), c_Groups_Ozero__class_Ozero(_u4585)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4585), _u4586), _u4587))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), c_Groups_Ozero__class_Ozero(_u4585)), _u4586)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), _u4586), c_Groups_Ozero__class_Ozero(_u4585))) )).
% 12.53/12.70 cnf(fact_zero__le__mult__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4585) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), c_Groups_Ozero__class_Ozero(_u4585)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4585), _u4586), _u4587))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), c_Groups_Ozero__class_Ozero(_u4585)), _u4586)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), _u4587), c_Groups_Ozero__class_Ozero(_u4585))) )).
% 12.53/12.70 cnf(fact_zero__le__mult__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4585) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), c_Groups_Ozero__class_Ozero(_u4585)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4585), _u4586), _u4587))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), c_Groups_Ozero__class_Ozero(_u4585)), _u4587)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), _u4586), c_Groups_Ozero__class_Ozero(_u4585))) )).
% 12.53/12.70 cnf(fact_zero__le__mult__iff-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4585) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), c_Groups_Ozero__class_Ozero(_u4585)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4585), _u4586), _u4587))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), c_Groups_Ozero__class_Ozero(_u4585)), _u4587)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), _u4587), c_Groups_Ozero__class_Ozero(_u4585))) )).
% 12.53/12.70 cnf(fact_zero__le__mult__iff-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4585) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), c_Groups_Ozero__class_Ozero(_u4585)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4585), _u4586), _u4587))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), c_Groups_Ozero__class_Ozero(_u4585)), _u4586)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), c_Groups_Ozero__class_Ozero(_u4585)), _u4587)) )).
% 12.53/12.70 cnf(fact_zero__le__mult__iff-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4585) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), c_Groups_Ozero__class_Ozero(_u4585)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4585), _u4586), _u4587))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), _u4586), c_Groups_Ozero__class_Ozero(_u4585))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), _u4587), c_Groups_Ozero__class_Ozero(_u4585))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zero__le__square ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zero__le__square-1, axiom, ( ~class_Rings_Olinordered__ring(_u4588) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4588), c_Groups_Ozero__class_Ozero(_u4588)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4588), _u4589), _u4589))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_pos__add__strict ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_pos__add__strict-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4590) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4590), c_Groups_Ozero__class_Ozero(_u4590)), _u4591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4590), _u4592), _u4593)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4590), _u4592), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4590), _u4591), _u4593))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_add__neg__neg ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_add__neg__neg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u4594) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4594), _u4595), c_Groups_Ozero__class_Ozero(_u4594))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4594), _u4596), c_Groups_Ozero__class_Ozero(_u4594))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4594), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4594), _u4595), _u4596)), c_Groups_Ozero__class_Ozero(_u4594))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_add__pos__pos ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_add__pos__pos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u4597) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4597), c_Groups_Ozero__class_Ozero(_u4597)), _u4598)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4597), c_Groups_Ozero__class_Ozero(_u4597)), _u4599)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4597), c_Groups_Ozero__class_Ozero(_u4597)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4597), _u4598), _u4599))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_double__add__less__zero__iff__single__add__less__zero ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_double__add__less__zero__iff__single__add__less__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u4600) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4600), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4600), _u4601), _u4601)), c_Groups_Ozero__class_Ozero(_u4600))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4600), _u4601), c_Groups_Ozero__class_Ozero(_u4600))) )).
% 12.53/12.70 cnf(fact_double__add__less__zero__iff__single__add__less__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u4600) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4600), _u4601), c_Groups_Ozero__class_Ozero(_u4600))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4600), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4600), _u4601), _u4601)), c_Groups_Ozero__class_Ozero(_u4600))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zero__less__double__add__iff__zero__less__single__add ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zero__less__double__add__iff__zero__less__single__add-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u4602) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4602), c_Groups_Ozero__class_Ozero(_u4602)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4602), _u4603), _u4603))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4602), c_Groups_Ozero__class_Ozero(_u4602)), _u4603)) )).
% 12.53/12.70 cnf(fact_zero__less__double__add__iff__zero__less__single__add-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u4602) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4602), c_Groups_Ozero__class_Ozero(_u4602)), _u4603)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4602), c_Groups_Ozero__class_Ozero(_u4602)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4602), _u4603), _u4603))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__strict__left__mono__neg ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__strict__left__mono__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4604) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4604), _u4605), _u4606)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4604), _u4607), c_Groups_Ozero__class_Ozero(_u4604))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4604), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4604), _u4607), _u4606)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4604), _u4607), _u4605))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__strict__right__mono__neg ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__strict__right__mono__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4608) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4608), _u4609), _u4610)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4608), _u4611), c_Groups_Ozero__class_Ozero(_u4608))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4608), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4608), _u4610), _u4611)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4608), _u4609), _u4611))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_comm__mult__strict__left__mono ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_comm__mult__strict__left__mono-1, axiom, ( ~class_Rings_Olinordered__comm__semiring__strict(_u4612) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4612), _u4613), _u4614)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4612), c_Groups_Ozero__class_Ozero(_u4612)), _u4615)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4612), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4612), _u4615), _u4613)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4612), _u4615), _u4614))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__strict__left__mono ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__strict__left__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4616) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4616), _u4617), _u4618)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4616), c_Groups_Ozero__class_Ozero(_u4616)), _u4619)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4616), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4616), _u4619), _u4617)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4616), _u4619), _u4618))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__strict__right__mono ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__strict__right__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4620) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4620), _u4621), _u4622)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4620), c_Groups_Ozero__class_Ozero(_u4620)), _u4623)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4620), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4620), _u4621), _u4623)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4620), _u4622), _u4623))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__neg__neg ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__neg__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4624) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4624), _u4625), c_Groups_Ozero__class_Ozero(_u4624))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4624), _u4626), c_Groups_Ozero__class_Ozero(_u4624))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4624), c_Groups_Ozero__class_Ozero(_u4624)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4624), _u4625), _u4626))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__neg__pos ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__neg__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4627) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4627), _u4628), c_Groups_Ozero__class_Ozero(_u4627))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4627), c_Groups_Ozero__class_Ozero(_u4627)), _u4629)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4627), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4627), _u4628), _u4629)), c_Groups_Ozero__class_Ozero(_u4627))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__less__cancel__left__neg ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__less__cancel__left__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4630) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4630), _u4631), c_Groups_Ozero__class_Ozero(_u4630))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4630), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4630), _u4631), _u4632)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4630), _u4631), _u4633))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4630), _u4633), _u4632)) )).
% 12.53/12.70 cnf(fact_mult__less__cancel__left__neg-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4630) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4630), _u4631), c_Groups_Ozero__class_Ozero(_u4630))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4630), _u4633), _u4632)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4630), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4630), _u4631), _u4632)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4630), _u4631), _u4633))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zero__less__mult__pos2 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zero__less__mult__pos2-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4634) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4634), c_Groups_Ozero__class_Ozero(_u4634)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4634), _u4635), _u4636))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4634), c_Groups_Ozero__class_Ozero(_u4634)), _u4636)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4634), c_Groups_Ozero__class_Ozero(_u4634)), _u4635)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zero__less__mult__pos ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zero__less__mult__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4637) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4637), c_Groups_Ozero__class_Ozero(_u4637)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4637), _u4638), _u4639))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4637), c_Groups_Ozero__class_Ozero(_u4637)), _u4638)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4637), c_Groups_Ozero__class_Ozero(_u4637)), _u4639)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__pos__neg2 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__pos__neg2-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4640) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4640), c_Groups_Ozero__class_Ozero(_u4640)), _u4641)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4640), _u4642), c_Groups_Ozero__class_Ozero(_u4640))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4640), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4640), _u4642), _u4641)), c_Groups_Ozero__class_Ozero(_u4640))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__pos__neg ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__pos__neg-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4643) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4643), c_Groups_Ozero__class_Ozero(_u4643)), _u4644)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4643), _u4645), c_Groups_Ozero__class_Ozero(_u4643))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4643), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4643), _u4644), _u4645)), c_Groups_Ozero__class_Ozero(_u4643))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__pos__pos ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__pos__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4646) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4646), c_Groups_Ozero__class_Ozero(_u4646)), _u4647)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4646), c_Groups_Ozero__class_Ozero(_u4646)), _u4648)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4646), c_Groups_Ozero__class_Ozero(_u4646)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4646), _u4647), _u4648))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__less__cancel__left__pos ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__less__cancel__left__pos-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4649) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4649), c_Groups_Ozero__class_Ozero(_u4649)), _u4650)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4649), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4649), _u4650), _u4651)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4649), _u4650), _u4652))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4649), _u4651), _u4652)) )).
% 12.53/12.70 cnf(fact_mult__less__cancel__left__pos-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4649) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4649), c_Groups_Ozero__class_Ozero(_u4649)), _u4650)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4649), _u4651), _u4652)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4649), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4649), _u4650), _u4651)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4649), _u4650), _u4652))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__less__cancel__left__disj ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__less__cancel__left__disj-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4653), _u4654), _u4655)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4653), _u4654), _u4656))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), c_Groups_Ozero__class_Ozero(_u4653)), _u4654)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), _u4654), c_Groups_Ozero__class_Ozero(_u4653))) )).
% 12.53/12.70 cnf(fact_mult__less__cancel__left__disj-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4653), _u4654), _u4655)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4653), _u4654), _u4656))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), c_Groups_Ozero__class_Ozero(_u4653)), _u4654)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), _u4656), _u4655)) )).
% 12.53/12.70 cnf(fact_mult__less__cancel__left__disj-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4653), _u4654), _u4655)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4653), _u4654), _u4656))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), _u4655), _u4656)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), _u4654), c_Groups_Ozero__class_Ozero(_u4653))) )).
% 12.53/12.70 cnf(fact_mult__less__cancel__left__disj-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4653), _u4654), _u4655)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4653), _u4654), _u4656))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), _u4655), _u4656)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), _u4656), _u4655)) )).
% 12.53/12.70 cnf(fact_mult__less__cancel__left__disj-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4653) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4653), _u4654), _u4655)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4653), _u4654), _u4656))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), c_Groups_Ozero__class_Ozero(_u4653)), _u4654)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), _u4655), _u4656)) )).
% 12.53/12.70 cnf(fact_mult__less__cancel__left__disj-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4653) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4653), _u4654), _u4655)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4653), _u4654), _u4656))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), _u4654), c_Groups_Ozero__class_Ozero(_u4653))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), _u4656), _u4655)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__less__cancel__right__disj ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__less__cancel__right__disj-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4657) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4657), _u4658), _u4659)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4657), _u4660), _u4659))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), c_Groups_Ozero__class_Ozero(_u4657)), _u4659)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), _u4659), c_Groups_Ozero__class_Ozero(_u4657))) )).
% 12.53/12.70 cnf(fact_mult__less__cancel__right__disj-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4657) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4657), _u4658), _u4659)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4657), _u4660), _u4659))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), c_Groups_Ozero__class_Ozero(_u4657)), _u4659)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), _u4660), _u4658)) )).
% 12.53/12.70 cnf(fact_mult__less__cancel__right__disj-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4657) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4657), _u4658), _u4659)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4657), _u4660), _u4659))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), _u4658), _u4660)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), _u4659), c_Groups_Ozero__class_Ozero(_u4657))) )).
% 12.53/12.70 cnf(fact_mult__less__cancel__right__disj-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4657) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4657), _u4658), _u4659)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4657), _u4660), _u4659))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), _u4658), _u4660)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), _u4660), _u4658)) )).
% 12.53/12.70 cnf(fact_mult__less__cancel__right__disj-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4657) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4657), _u4658), _u4659)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4657), _u4660), _u4659))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), c_Groups_Ozero__class_Ozero(_u4657)), _u4659)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), _u4658), _u4660)) )).
% 12.53/12.70 cnf(fact_mult__less__cancel__right__disj-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4657) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4657), _u4658), _u4659)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4657), _u4660), _u4659))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), _u4659), c_Groups_Ozero__class_Ozero(_u4657))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), _u4660), _u4658)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_not__square__less__zero ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_not__square__less__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u4661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4661), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4661), _u4662), _u4662)), c_Groups_Ozero__class_Ozero(_u4661))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_le__iff__diff__le__0 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_le__iff__diff__le__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u4663) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4663), _u4664), _u4665)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4663), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4663), _u4664), _u4665)), c_Groups_Ozero__class_Ozero(_u4663))) )).
% 12.53/12.70 cnf(fact_le__iff__diff__le__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u4663) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4663), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4663), _u4664), _u4665)), c_Groups_Ozero__class_Ozero(_u4663))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4663), _u4664), _u4665)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_less__iff__diff__less__0 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_less__iff__diff__less__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u4666) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4666), _u4667), _u4668)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4666), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4666), _u4667), _u4668)), c_Groups_Ozero__class_Ozero(_u4666))) )).
% 12.53/12.70 cnf(fact_less__iff__diff__less__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u4666) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4666), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4666), _u4667), _u4668)), c_Groups_Ozero__class_Ozero(_u4666))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4666), _u4667), _u4668)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_add__scale__eq__noteq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_add__scale__eq__noteq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u4669) | ( _u4670 = c_Groups_Ozero__class_Ozero(_u4669)) | ( _u4671 != _u4672) | ( _u4673 = _u4674) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4669), _u4671), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4669), _u4670), _u4673)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4669), _u4672), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4669), _u4670), _u4674))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zero__le__one ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zero__le__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4675) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4675), c_Groups_Ozero__class_Ozero(_u4675)), c_Groups_Oone__class_Oone(_u4675))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_not__one__le__zero ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_not__one__le__zero-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4676) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4676), c_Groups_Oone__class_Oone(_u4676)), c_Groups_Ozero__class_Ozero(_u4676))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zero__less__one ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zero__less__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4677) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4677), c_Groups_Ozero__class_Ozero(_u4677)), c_Groups_Oone__class_Oone(_u4677))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_not__one__less__zero ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_not__one__less__zero-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4678) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4678), c_Groups_Oone__class_Oone(_u4678)), c_Groups_Ozero__class_Ozero(_u4678))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_diff__Suc__1 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_diff__Suc__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4679)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u4679) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_neg__0__le__iff__le ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_neg__0__le__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u4680) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4680), c_Groups_Ozero__class_Ozero(_u4680)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4680), _u4681))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4680), _u4681), c_Groups_Ozero__class_Ozero(_u4680))) )).
% 12.53/12.70 cnf(fact_neg__0__le__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u4680) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4680), _u4681), c_Groups_Ozero__class_Ozero(_u4680))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4680), c_Groups_Ozero__class_Ozero(_u4680)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4680), _u4681))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_le__minus__self__iff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_le__minus__self__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u4682) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4682), _u4683), hAPP(c_Groups_Ouminus__class_Ouminus(_u4682), _u4683))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4682), _u4683), c_Groups_Ozero__class_Ozero(_u4682))) )).
% 12.53/12.70 cnf(fact_le__minus__self__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u4682) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4682), _u4683), c_Groups_Ozero__class_Ozero(_u4682))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4682), _u4683), hAPP(c_Groups_Ouminus__class_Ouminus(_u4682), _u4683))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_neg__le__0__iff__le ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_neg__le__0__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u4684) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4684), hAPP(c_Groups_Ouminus__class_Ouminus(_u4684), _u4685)), c_Groups_Ozero__class_Ozero(_u4684))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4684), c_Groups_Ozero__class_Ozero(_u4684)), _u4685)) )).
% 12.53/12.70 cnf(fact_neg__le__0__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u4684) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4684), c_Groups_Ozero__class_Ozero(_u4684)), _u4685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4684), hAPP(c_Groups_Ouminus__class_Ouminus(_u4684), _u4685)), c_Groups_Ozero__class_Ozero(_u4684))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_minus__le__self__iff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_minus__le__self__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u4686) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4686), hAPP(c_Groups_Ouminus__class_Ouminus(_u4686), _u4687)), _u4687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4686), c_Groups_Ozero__class_Ozero(_u4686)), _u4687)) )).
% 12.53/12.70 cnf(fact_minus__le__self__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u4686) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4686), c_Groups_Ozero__class_Ozero(_u4686)), _u4687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4686), hAPP(c_Groups_Ouminus__class_Ouminus(_u4686), _u4687)), _u4687)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_neg__0__less__iff__less ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_neg__0__less__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u4688) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4688), c_Groups_Ozero__class_Ozero(_u4688)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4688), _u4689))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4688), _u4689), c_Groups_Ozero__class_Ozero(_u4688))) )).
% 12.53/12.70 cnf(fact_neg__0__less__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u4688) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4688), _u4689), c_Groups_Ozero__class_Ozero(_u4688))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4688), c_Groups_Ozero__class_Ozero(_u4688)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4688), _u4689))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_neg__less__0__iff__less ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_neg__less__0__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u4690) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4690), hAPP(c_Groups_Ouminus__class_Ouminus(_u4690), _u4691)), c_Groups_Ozero__class_Ozero(_u4690))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4690), c_Groups_Ozero__class_Ozero(_u4690)), _u4691)) )).
% 12.53/12.70 cnf(fact_neg__less__0__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u4690) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4690), c_Groups_Ozero__class_Ozero(_u4690)), _u4691)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4690), hAPP(c_Groups_Ouminus__class_Ouminus(_u4690), _u4691)), c_Groups_Ozero__class_Ozero(_u4690))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_neg__less__nonneg ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_neg__less__nonneg-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u4692) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4692), hAPP(c_Groups_Ouminus__class_Ouminus(_u4692), _u4693)), _u4693)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4692), c_Groups_Ozero__class_Ozero(_u4692)), _u4693)) )).
% 12.53/12.70 cnf(fact_neg__less__nonneg-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u4692) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4692), c_Groups_Ozero__class_Ozero(_u4692)), _u4693)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4692), hAPP(c_Groups_Ouminus__class_Ouminus(_u4692), _u4693)), _u4693)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_less__minus__self__iff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_less__minus__self__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u4694) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4694), _u4695), hAPP(c_Groups_Ouminus__class_Ouminus(_u4694), _u4695))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4694), _u4695), c_Groups_Ozero__class_Ozero(_u4694))) )).
% 12.53/12.70 cnf(fact_less__minus__self__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u4694) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4694), _u4695), c_Groups_Ozero__class_Ozero(_u4694))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4694), _u4695), hAPP(c_Groups_Ouminus__class_Ouminus(_u4694), _u4695))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_right__minus ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_right__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u4696) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4696), _u4697), hAPP(c_Groups_Ouminus__class_Ouminus(_u4696), _u4697)) = c_Groups_Ozero__class_Ozero(_u4696)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_eq__neg__iff__add__eq__0 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_eq__neg__iff__add__eq__0-1, axiom, ( ~class_Groups_Ogroup__add(_u4698) | ( _u4699 != hAPP(c_Groups_Ouminus__class_Ouminus(_u4698), _u4700)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4698), _u4699), _u4700) = c_Groups_Ozero__class_Ozero(_u4698)) )).
% 12.53/12.70 cnf(fact_eq__neg__iff__add__eq__0-2, axiom, ( ~class_Groups_Ogroup__add(_u4698) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4698), _u4699), _u4700) != c_Groups_Ozero__class_Ozero(_u4698)) | ( _u4699 = hAPP(c_Groups_Ouminus__class_Ouminus(_u4698), _u4700)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_left__minus ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_left__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u4701) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4701), hAPP(c_Groups_Ouminus__class_Ouminus(_u4701), _u4702)), _u4702) = c_Groups_Ozero__class_Ozero(_u4701)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_ab__left__minus ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_ab__left__minus-1, axiom, ( ~class_Groups_Oab__group__add(_u4703) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4703), hAPP(c_Groups_Ouminus__class_Ouminus(_u4703), _u4704)), _u4704) = c_Groups_Ozero__class_Ozero(_u4703)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_minus__unique ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_minus__unique-1, axiom, ( ~class_Groups_Ogroup__add(_u4705) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4705), _u4706), _u4707) != c_Groups_Ozero__class_Ozero(_u4705)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4705), _u4706) = _u4707) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_diff__0 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_diff__0-1, axiom, ( ~class_Groups_Ogroup__add(_u4708) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4708), c_Groups_Ozero__class_Ozero(_u4708)), _u4709) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4708), _u4709)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_atLeastLessThanSuc ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_atLeastLessThanSuc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4712), _u4714)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u4712), hAPP(c_Nat_OSuc, _u4714)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u4714), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u4712), _u4714))) )).
% 12.53/12.70 cnf(fact_atLeastLessThanSuc-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4713), _u4715)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u4713), hAPP(c_Nat_OSuc, _u4715)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_setsum__empty ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_setsum__empty-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4716) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4717, _u4716), _u4718), c_Orderings_Obot__class_Obot(tc_fun(_u4717, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u4716)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_setsum_Oempty ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_setsum_Oempty-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4719) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4720, _u4719), _u4721), c_Orderings_Obot__class_Obot(tc_fun(_u4720, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u4719)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_setsum__infinite ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_setsum__infinite-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4722) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4723), _u4724)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4723, _u4722), _u4725), _u4724) = c_Groups_Ozero__class_Ozero(_u4722)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_setsum_Oinfinite ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_setsum_Oinfinite-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4726) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4727), _u4728)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4727, _u4726), _u4729), _u4728) = c_Groups_Ozero__class_Ozero(_u4726)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_setprod__pos__nat__iff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_setprod__pos__nat__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4732), _u4733)) | ~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(_u4732, tc_Nat_Onat), _u4734), _u4733))) | ~hBOOL(hAPP(hAPP(c_member(_u4732), _u4730), _u4733)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u4734, _u4730))) )).
% 12.53/12.70 cnf(fact_setprod__pos__nat__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4732), _u4733)) | 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(_u4732, tc_Nat_Onat), _u4734), _u4733))) | hBOOL(hAPP(hAPP(c_member(_u4732), skolem106(_u4734, _u4733, _u4732)), _u4733)) )).
% 12.53/12.70 cnf(fact_setprod__pos__nat__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4732), _u4733)) | 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(_u4732, tc_Nat_Onat), _u4734), _u4733))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u4734, skolem106(_u4734, _u4733, _u4732)))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_atLeastAtMostSuc__conv ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_atLeastAtMostSuc__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4735), hAPP(c_Nat_OSuc, _u4736))) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4735, hAPP(c_Nat_OSuc, _u4736)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4736)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4735, _u4736))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_setprod__zero__iff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_setprod__zero__iff-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4739) | ~class_Rings_Ono__zero__divisors(_u4739) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4740), _u4741)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4740, _u4739), _u4742), _u4741) != c_Groups_Ozero__class_Ozero(_u4739)) | hBOOL(hAPP(hAPP(c_member(_u4740), skolem107(_u4742, _u4741, _u4740, _u4739)), _u4741)) )).
% 12.53/12.70 cnf(fact_setprod__zero__iff-2, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4739) | ~class_Rings_Ono__zero__divisors(_u4739) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4740), _u4741)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4740, _u4739), _u4742), _u4741) != c_Groups_Ozero__class_Ozero(_u4739)) | ( hAPP(_u4742, skolem107(_u4742, _u4741, _u4740, _u4739)) = c_Groups_Ozero__class_Ozero(_u4739)) )).
% 12.53/12.70 cnf(fact_setprod__zero__iff-3, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4739) | ~class_Rings_Ono__zero__divisors(_u4739) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4740), _u4741)) | ~hBOOL(hAPP(hAPP(c_member(_u4740), _u4738), _u4741)) | ( hAPP(_u4742, _u4738) != c_Groups_Ozero__class_Ozero(_u4739)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4740, _u4739), _u4742), _u4741) = c_Groups_Ozero__class_Ozero(_u4739)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_setprod__zero ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_setprod__zero-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4744) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4745), _u4746)) | ~hBOOL(hAPP(hAPP(c_member(_u4745), _u4743), _u4746)) | ( hAPP(_u4747, _u4743) != c_Groups_Ozero__class_Ozero(_u4744)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4745, _u4744), _u4747), _u4746) = c_Groups_Ozero__class_Ozero(_u4744)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_card__atLeastAtMost ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_card__atLeastAtMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4748, _u4749)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4749)), _u4748)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_add__gr__0 ( axiom ) converted to clauses:
% 12.53/12.70 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), _u4752), _u4754))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4752)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4754)) )).
% 12.53/12.70 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), _u4753), _u4755))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4753)) )).
% 12.53/12.70 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), _u4753), _u4755))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4755)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_card_Oempty ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_card_Oempty-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u4756), c_Orderings_Obot__class_Obot(tc_fun(_u4756, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_card__infinite ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_card__infinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u4757), _u4758)) | ( hAPP(c_Finite__Set_Ocard(_u4757), _u4758) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_diff__less ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u4759)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4760)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4760), _u4759)), _u4760)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zero__less__diff ( axiom ) converted to clauses:
% 12.53/12.70 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), _u4763), _u4765))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4765), _u4763)) )).
% 12.53/12.70 cnf(fact_zero__less__diff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4766), _u4764)) | 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), _u4764), _u4766))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_nat__0__less__mult__iff ( axiom ) converted to clauses:
% 12.53/12.70 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), _u4769), _u4771))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4769)) )).
% 12.53/12.70 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), _u4769), _u4771))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4771)) )).
% 12.53/12.70 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)), _u4770)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4772)) | 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), _u4770), _u4772))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__less__cancel1 ( axiom ) converted to clauses:
% 12.53/12.70 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), _u4776), _u4778)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4776), _u4780))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4776)) )).
% 12.53/12.70 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), _u4776), _u4778)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4776), _u4780))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4778), _u4780)) )).
% 12.53/12.70 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)), _u4777)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4779), _u4781)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4777), _u4779)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4777), _u4781))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__less__cancel2 ( axiom ) converted to clauses:
% 12.53/12.70 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), _u4785), _u4787)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4789), _u4787))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4787)) )).
% 12.53/12.70 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), _u4785), _u4787)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4789), _u4787))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4785), _u4789)) )).
% 12.53/12.70 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)), _u4788)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4786), _u4790)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4786), _u4788)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4790), _u4788))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__less__mono1 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__less__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4791), _u4792)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4793)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4791), _u4793)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4792), _u4793))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__less__mono2 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__less__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4794), _u4795)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4796)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4796), _u4794)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4796), _u4795))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_nat__mult__eq__cancel1 ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u4797)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4797), _u4798) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4797), _u4799)) | ( _u4798 = _u4799) )).
% 12.53/12.70 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)), _u4797)) | ( _u4798 != _u4799) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4797), _u4798) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4797), _u4799)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_nat__mult__less__cancel1 ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u4800)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4800), _u4801)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4800), _u4802))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4801), _u4802)) )).
% 12.53/12.70 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)), _u4800)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4801), _u4802)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4800), _u4801)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4800), _u4802))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_diff__add__0 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_diff__add__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4803), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4803), _u4804)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_diff__is__0__eq_H ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_diff__is__0__eq_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4805), _u4806)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4805), _u4806) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_diff__is__0__eq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_diff__is__0__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4809), _u4811) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4809), _u4811)) )).
% 12.53/12.70 cnf(fact_diff__is__0__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4810), _u4812)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4810), _u4812) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_atLeastLessThanSuc__atLeastAtMost ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_atLeastLessThanSuc__atLeastAtMost-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u4813), hAPP(c_Nat_OSuc, _u4814)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4813, _u4814)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__eq__self__implies__10 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__eq__self__implies__10-1, axiom, ( ( _u4815 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4815), _u4816)) | ( _u4816 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u4815 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_setsum__eq__0__iff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_setsum__eq__0__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4819), _u4820)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4819, tc_Nat_Onat), _u4821), _u4820) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u4819), _u4817), _u4820)) | ( hAPP(_u4821, _u4817) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.70 cnf(fact_setsum__eq__0__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4819), _u4820)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4819, tc_Nat_Onat), _u4821), _u4820) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u4819), skolem108(_u4821, _u4820, _u4819)), _u4820)) )).
% 12.53/12.70 cnf(fact_setsum__eq__0__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4819), _u4820)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4819, tc_Nat_Onat), _u4821), _u4820) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(_u4821, skolem108(_u4821, _u4820, _u4819)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_lessThan__Suc__atMost ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_lessThan__Suc__atMost-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4822)) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u4822)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_atLeast0LessThan ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_atLeast0LessThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4823) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u4823)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_folding__image__simple_Oeq__fold__g ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_folding__image__simple_Oeq__fold__g-1, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u4824, _u4825, _u4826, _u4827, _u4828, _u4829) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4825), _u4830)) | ( hAPP(_u4829, _u4830) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4824, _u4825, _u4826), _u4828), _u4827), _u4830)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_card__greaterThanLessThan ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_card__greaterThanLessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u4831, _u4832)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4832), hAPP(c_Nat_OSuc, _u4831))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_atLeast0AtMost ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_atLeast0AtMost-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u4833) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u4833)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_atLeastSucAtMost__greaterThanAtMost ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_atLeastSucAtMost__greaterThanAtMost-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u4834), _u4835) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u4834, _u4835)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_atLeastSucLessThan__greaterThanLessThan ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_atLeastSucLessThan__greaterThanLessThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u4836)), _u4837) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u4836, _u4837)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_diff__Suc__diff__eq2 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_diff__Suc__diff__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4838), _u4839)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4839), _u4838))), _u4840) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4839)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4838), _u4840))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_diff__Suc__diff__eq1 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_diff__Suc__diff__eq1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4841), _u4842)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4843), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4842), _u4841))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4843), _u4841)), hAPP(c_Nat_OSuc, _u4842))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_add__nonpos__neg ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_add__nonpos__neg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u4844) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4844), _u4845), c_Groups_Ozero__class_Ozero(_u4844))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4844), _u4846), c_Groups_Ozero__class_Ozero(_u4844))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4844), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4844), _u4845), _u4846)), c_Groups_Ozero__class_Ozero(_u4844))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_add__neg__nonpos ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_add__neg__nonpos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u4847) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4847), _u4848), c_Groups_Ozero__class_Ozero(_u4847))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4847), _u4849), c_Groups_Ozero__class_Ozero(_u4847))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4847), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4847), _u4848), _u4849)), c_Groups_Ozero__class_Ozero(_u4847))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_add__strict__increasing2 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_add__strict__increasing2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u4850) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4850), c_Groups_Ozero__class_Ozero(_u4850)), _u4851)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4850), _u4852), _u4853)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4850), _u4852), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4850), _u4851), _u4853))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_add__strict__increasing ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_add__strict__increasing-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u4854) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4854), c_Groups_Ozero__class_Ozero(_u4854)), _u4855)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4854), _u4856), _u4857)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4854), _u4856), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4854), _u4855), _u4857))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_add__nonneg__pos ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_add__nonneg__pos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u4858) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4858), c_Groups_Ozero__class_Ozero(_u4858)), _u4859)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4858), c_Groups_Ozero__class_Ozero(_u4858)), _u4860)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4858), c_Groups_Ozero__class_Ozero(_u4858)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4858), _u4859), _u4860))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_add__pos__nonneg ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_add__pos__nonneg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u4861) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4861), c_Groups_Ozero__class_Ozero(_u4861)), _u4862)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4861), c_Groups_Ozero__class_Ozero(_u4861)), _u4863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4861), c_Groups_Ozero__class_Ozero(_u4861)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4861), _u4862), _u4863))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__left__le__imp__le ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__left__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4864) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4864), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4864), _u4865), _u4866)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4864), _u4865), _u4867))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4864), c_Groups_Ozero__class_Ozero(_u4864)), _u4865)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4864), _u4866), _u4867)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__right__le__imp__le ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__right__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4868) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4868), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4868), _u4869), _u4870)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4868), _u4871), _u4870))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4868), c_Groups_Ozero__class_Ozero(_u4868)), _u4870)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4868), _u4869), _u4871)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__less__imp__less__left ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__less__imp__less__left-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4872) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4872), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4872), _u4873), _u4874)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4872), _u4873), _u4875))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4872), c_Groups_Ozero__class_Ozero(_u4872)), _u4873)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4872), _u4874), _u4875)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__left__less__imp__less ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__left__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring(_u4876) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4876), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4876), _u4877), _u4878)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4876), _u4877), _u4879))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4876), c_Groups_Ozero__class_Ozero(_u4876)), _u4877)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4876), _u4878), _u4879)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__less__imp__less__right ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__less__imp__less__right-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4880) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4880), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4880), _u4881), _u4882)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4880), _u4883), _u4882))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4880), c_Groups_Ozero__class_Ozero(_u4880)), _u4882)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4880), _u4881), _u4883)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__right__less__imp__less ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__right__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring(_u4884) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4884), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4884), _u4885), _u4886)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4884), _u4887), _u4886))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4884), c_Groups_Ozero__class_Ozero(_u4884)), _u4886)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4884), _u4885), _u4887)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__le__less__imp__less ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__le__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4888) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4888), _u4889), _u4890)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4888), _u4891), _u4892)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4888), c_Groups_Ozero__class_Ozero(_u4888)), _u4889)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4888), c_Groups_Ozero__class_Ozero(_u4888)), _u4891)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4888), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4888), _u4889), _u4891)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4888), _u4890), _u4892))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__less__le__imp__less ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__less__le__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4893) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4893), _u4894), _u4895)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4893), _u4896), _u4897)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4893), c_Groups_Ozero__class_Ozero(_u4893)), _u4894)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4893), c_Groups_Ozero__class_Ozero(_u4893)), _u4896)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4893), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4893), _u4894), _u4896)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4893), _u4895), _u4897))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__strict__mono_H ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__strict__mono_H-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4898) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4898), _u4899), _u4900)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4898), _u4901), _u4902)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4898), c_Groups_Ozero__class_Ozero(_u4898)), _u4899)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4898), c_Groups_Ozero__class_Ozero(_u4898)), _u4901)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4898), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4898), _u4899), _u4901)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4898), _u4900), _u4902))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__strict__mono ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__strict__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4903) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4903), _u4904), _u4905)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4903), _u4906), _u4907)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4903), c_Groups_Ozero__class_Ozero(_u4903)), _u4905)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4903), c_Groups_Ozero__class_Ozero(_u4903)), _u4906)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4903), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4903), _u4904), _u4906)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4903), _u4905), _u4907))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__le__cancel__left__neg ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__le__cancel__left__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4908) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4908), _u4909), c_Groups_Ozero__class_Ozero(_u4908))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4908), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4908), _u4909), _u4910)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4908), _u4909), _u4911))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4908), _u4911), _u4910)) )).
% 12.53/12.70 cnf(fact_mult__le__cancel__left__neg-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4908) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4908), _u4909), c_Groups_Ozero__class_Ozero(_u4908))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4908), _u4911), _u4910)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4908), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4908), _u4909), _u4910)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4908), _u4909), _u4911))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__le__cancel__left__pos ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__le__cancel__left__pos-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4912) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4912), c_Groups_Ozero__class_Ozero(_u4912)), _u4913)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4912), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4912), _u4913), _u4914)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4912), _u4913), _u4915))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4912), _u4914), _u4915)) )).
% 12.53/12.70 cnf(fact_mult__le__cancel__left__pos-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4912) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4912), c_Groups_Ozero__class_Ozero(_u4912)), _u4913)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4912), _u4914), _u4915)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4912), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4912), _u4913), _u4914)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4912), _u4913), _u4915))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__left__le__one__le ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__left__le__one__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u4916) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4916), c_Groups_Ozero__class_Ozero(_u4916)), _u4917)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4916), c_Groups_Ozero__class_Ozero(_u4916)), _u4918)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4916), _u4918), c_Groups_Oone__class_Oone(_u4916))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4916), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4916), _u4918), _u4917)), _u4917)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__right__le__one__le ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__right__le__one__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u4919) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4919), c_Groups_Ozero__class_Ozero(_u4919)), _u4920)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4919), c_Groups_Ozero__class_Ozero(_u4919)), _u4921)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4919), _u4921), c_Groups_Oone__class_Oone(_u4919))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4919), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4919), _u4920), _u4921)), _u4920)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zero__less__two ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zero__less__two-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4922) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4922), c_Groups_Ozero__class_Ozero(_u4922)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4922), c_Groups_Oone__class_Oone(_u4922)), c_Groups_Oone__class_Oone(_u4922)))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_card__eq__0__iff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_card__eq__0__iff-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u4925), _u4927) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4927 = c_Orderings_Obot__class_Obot(tc_fun(_u4925, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4925), _u4927)) )).
% 12.53/12.70 cnf(fact_card__eq__0__iff-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u4926), _u4928) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4928 != c_Orderings_Obot__class_Obot(tc_fun(_u4926, tc_HOL_Obool))) )).
% 12.53/12.70 cnf(fact_card__eq__0__iff-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u4926), _u4928) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4926), _u4928)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_card__ge__0__finite ( axiom ) converted to clauses:
% 12.53/12.70 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(_u4929), _u4930))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4929), _u4930)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_nat__diff__split ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_nat__diff__split-1, axiom, ( ~hBOOL(hAPP(_u4936, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4938), _u4940))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4938), _u4940)) | hBOOL(hAPP(_u4936, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.53/12.70 cnf(fact_nat__diff__split-2, axiom, ( ~hBOOL(hAPP(_u4936, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4938), _u4940))) | ( _u4938 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4940), _u4931)) | hBOOL(hAPP(_u4936, _u4931)) )).
% 12.53/12.70 cnf(fact_nat__diff__split-3, axiom, ( hBOOL(hAPP(_u4937, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4939), _u4941))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4939), _u4941)) | ( _u4939 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4941), skolem109(_u4941, _u4939, _u4937))) )).
% 12.53/12.70 cnf(fact_nat__diff__split-4, axiom, ( hBOOL(hAPP(_u4937, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4939), _u4941))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4939), _u4941)) | ~hBOOL(hAPP(_u4937, skolem109(_u4941, _u4939, _u4937))) )).
% 12.53/12.70 cnf(fact_nat__diff__split-5, axiom, ( hBOOL(hAPP(_u4937, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4939), _u4941))) | ~hBOOL(hAPP(_u4937, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4939 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4941), skolem109(_u4941, _u4939, _u4937))) )).
% 12.53/12.70 cnf(fact_nat__diff__split-6, axiom, ( hBOOL(hAPP(_u4937, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4939), _u4941))) | ~hBOOL(hAPP(_u4937, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u4937, skolem109(_u4941, _u4939, _u4937))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_nat__diff__split__asm ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_nat__diff__split__asm-1, axiom, ( ~hBOOL(hAPP(_u4947, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4949), _u4951))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4949), _u4951)) | hBOOL(hAPP(_u4947, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.53/12.70 cnf(fact_nat__diff__split__asm-2, axiom, ( ~hBOOL(hAPP(_u4947, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4949), _u4951))) | ( _u4949 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4951), _u4942)) | hBOOL(hAPP(_u4947, _u4942)) )).
% 12.53/12.70 cnf(fact_nat__diff__split__asm-3, axiom, ( hBOOL(hAPP(_u4948, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4950), _u4952))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4950), _u4952)) | ( _u4950 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4952), skolem110(_u4952, _u4950, _u4948))) )).
% 12.53/12.70 cnf(fact_nat__diff__split__asm-4, axiom, ( hBOOL(hAPP(_u4948, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4950), _u4952))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4950), _u4952)) | ~hBOOL(hAPP(_u4948, skolem110(_u4952, _u4950, _u4948))) )).
% 12.53/12.70 cnf(fact_nat__diff__split__asm-5, axiom, ( hBOOL(hAPP(_u4948, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4950), _u4952))) | ~hBOOL(hAPP(_u4948, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4950 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4952), skolem110(_u4952, _u4950, _u4948))) )).
% 12.53/12.70 cnf(fact_nat__diff__split__asm-6, axiom, ( hBOOL(hAPP(_u4948, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4950), _u4952))) | ~hBOOL(hAPP(_u4948, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u4948, skolem110(_u4952, _u4950, _u4948))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__le__cancel1 ( axiom ) converted to clauses:
% 12.53/12.70 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), _u4956), _u4958)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4956), _u4960))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4956)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4958), _u4960)) )).
% 12.53/12.70 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), _u4957), _u4959)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4957), _u4961))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4957)) )).
% 12.53/12.70 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), _u4957), _u4959)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4957), _u4961))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4959), _u4961)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__le__cancel2 ( axiom ) converted to clauses:
% 12.53/12.70 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), _u4965), _u4967)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4969), _u4967))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4967)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4965), _u4969)) )).
% 12.53/12.70 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), _u4966), _u4968)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4970), _u4968))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4968)) )).
% 12.53/12.70 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), _u4966), _u4968)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4970), _u4968))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4966), _u4970)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_nat__mult__le__cancel1 ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u4971)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4971), _u4972)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4971), _u4973))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4972), _u4973)) )).
% 12.53/12.70 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)), _u4971)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4972), _u4973)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4971), _u4972)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4971), _u4973))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_setsum__eq__1__iff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_setsum__eq__1__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4978), _u4979)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4978, tc_Nat_Onat), _u4980), _u4979) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u4978), skolem111(_u4980, _u4979, _u4978)), _u4979)) )).
% 12.53/12.70 cnf(fact_setsum__eq__1__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4978), _u4979)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4978, tc_Nat_Onat), _u4980), _u4979) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u4980, skolem111(_u4980, _u4979, _u4978)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.53/12.70 cnf(fact_setsum__eq__1__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4978), _u4979)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4978, tc_Nat_Onat), _u4980), _u4979) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u4978), _u4974), _u4979)) | ( skolem111(_u4980, _u4979, _u4978) = _u4974) | ( hAPP(_u4980, _u4974) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.70 cnf(fact_setsum__eq__1__iff-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4978), _u4979)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4978, tc_Nat_Onat), _u4980), _u4979) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u4978), _u4977), _u4979)) | ( hAPP(_u4980, _u4977) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u4978), skolem112(_u4980, _u4979, _u4978, _u4977)), _u4979)) )).
% 12.53/12.70 cnf(fact_setsum__eq__1__iff-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4978), _u4979)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4978, tc_Nat_Onat), _u4980), _u4979) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u4978), _u4977), _u4979)) | ( hAPP(_u4980, _u4977) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u4977 != skolem112(_u4980, _u4979, _u4978, _u4977)) )).
% 12.53/12.70 cnf(fact_setsum__eq__1__iff-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4978), _u4979)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4978, tc_Nat_Onat), _u4980), _u4979) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u4978), _u4977), _u4979)) | ( hAPP(_u4980, _u4977) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u4980, skolem112(_u4980, _u4979, _u4978, _u4977)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_card__insert__if ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_card__insert__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4981), _u4982)) | ~hBOOL(hAPP(hAPP(c_member(_u4981), _u4983), _u4982)) | ( hAPP(c_Finite__Set_Ocard(_u4981), hAPP(hAPP(c_Set_Oinsert(_u4981), _u4983), _u4982)) = hAPP(c_Finite__Set_Ocard(_u4981), _u4982)) )).
% 12.53/12.70 cnf(fact_card__insert__if-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4981), _u4982)) | hBOOL(hAPP(hAPP(c_member(_u4981), _u4983), _u4982)) | ( hAPP(c_Finite__Set_Ocard(_u4981), hAPP(hAPP(c_Set_Oinsert(_u4981), _u4983), _u4982)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u4981), _u4982))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_card__insert__disjoint ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_card__insert__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4984), _u4985)) | hBOOL(hAPP(hAPP(c_member(_u4984), _u4986), _u4985)) | ( hAPP(c_Finite__Set_Ocard(_u4984), hAPP(hAPP(c_Set_Oinsert(_u4984), _u4986), _u4985)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u4984), _u4985))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_convex__bound__le ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_convex__bound__le-1, axiom, ( ~class_Rings_Olinordered__semiring__1(_u4987) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4987), _u4988), _u4989)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4987), _u4990), _u4989)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4987), c_Groups_Ozero__class_Ozero(_u4987)), _u4991)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4987), c_Groups_Ozero__class_Ozero(_u4987)), _u4992)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4987), _u4991), _u4992) != c_Groups_Oone__class_Oone(_u4987)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4987), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4987), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4987), _u4991), _u4988)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4987), _u4992), _u4990))), _u4989)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_setsum__head__upt__Suc ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_setsum__head__upt__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4993) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4994), _u4995)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4993), _u4996), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u4994), _u4995)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4993), hAPP(_u4996, _u4994)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4993), _u4996), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u4994)), _u4995)))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_fold__image__insert ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_fold__image__insert-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u4997) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4998), _u4999)) | hBOOL(hAPP(hAPP(c_member(_u4998), _u5000), _u4999)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4997, _u4998, c_Groups_Otimes__class_Otimes(_u4997)), _u5001), _u5002), hAPP(hAPP(c_Set_Oinsert(_u4998), _u5000), _u4999)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4997), hAPP(_u5001, _u5000)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4997, _u4998, c_Groups_Otimes__class_Otimes(_u4997)), _u5001), _u5002), _u4999))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_setsum__head__Suc ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_setsum__head__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5003) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5004), _u5005)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5003), _u5006), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u5004, _u5005)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5003), hAPP(_u5006, _u5004)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5003), _u5006), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u5004), _u5005)))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_card__gt__0__iff ( axiom ) converted to clauses:
% 12.53/12.70 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(_u5009), _u5011))) | ( _u5011 != c_Orderings_Obot__class_Obot(tc_fun(_u5009, tc_HOL_Obool))) )).
% 12.53/12.70 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(_u5009), _u5011))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5009), _u5011)) )).
% 12.53/12.70 cnf(fact_card__gt__0__iff-3, axiom, ( ( _u5012 = c_Orderings_Obot__class_Obot(tc_fun(_u5010, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5010), _u5012)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u5010), _u5012))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_setprod_OF__eq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_setprod_OF__eq-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u5013) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5014), _u5015)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5014, _u5013), _u5016), _u5015) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5013, _u5014, c_Groups_Otimes__class_Otimes(_u5013)), _u5016), c_Groups_Oone__class_Oone(_u5013)), _u5015)) )).
% 12.53/12.70 cnf(fact_setprod_OF__eq-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u5013) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5014), _u5015)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5014, _u5013), _u5016), _u5015) = c_Groups_Oone__class_Oone(_u5013)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_setprod_Oeq__fold ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_setprod_Oeq__fold-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u5017) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5018), _u5019)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5018, _u5017), _u5020), _u5019) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5017, _u5018, c_Groups_Otimes__class_Otimes(_u5017)), _u5020), c_Groups_Oone__class_Oone(_u5017)), _u5019)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_finite__UNIV__card__ge__0 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_finite__UNIV__card__ge__0-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5021), c_Orderings_Otop__class_Otop(tc_fun(_u5021, 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(_u5021), c_Orderings_Otop__class_Otop(tc_fun(_u5021, tc_HOL_Obool))))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_card__insert ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_card__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5022), _u5023)) | ( hAPP(c_Finite__Set_Ocard(_u5022), hAPP(hAPP(c_Set_Oinsert(_u5022), _u5024), _u5023)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u5022), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5022, tc_HOL_Obool)), _u5023), hAPP(hAPP(c_Set_Oinsert(_u5022), _u5024), c_Orderings_Obot__class_Obot(tc_fun(_u5022, tc_HOL_Obool))))))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_finite__fun__UNIVD1 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_finite__fun__UNIVD1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u5025, _u5026)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u5025, _u5026), tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u5026), c_Orderings_Otop__class_Otop(tc_fun(_u5026, tc_HOL_Obool))) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5025), c_Orderings_Otop__class_Otop(tc_fun(_u5025, tc_HOL_Obool)))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__eq__if ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__eq__if-1, axiom, ( ( _u5029 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5029), _u5031) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.70 cnf(fact_mult__eq__if-2, axiom, ( ( _u5030 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5030), _u5032) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5032), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5030), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u5032))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_add__eq__if ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_add__eq__if-1, axiom, ( ( _u5035 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5035), _u5037) = _u5037) )).
% 12.53/12.70 cnf(fact_add__eq__if-2, axiom, ( ( _u5036 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5036), _u5038) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5036), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u5038))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_Suc__pred_H ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u5039)) | ( _u5039 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5039), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_sum__squares__gt__zero__iff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_sum__squares__gt__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u5040) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5040), c_Groups_Ozero__class_Ozero(_u5040)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5040), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5040), _u5041), _u5041)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5040), _u5042), _u5042)))) | ( _u5041 != c_Groups_Ozero__class_Ozero(_u5040)) | ( _u5042 != c_Groups_Ozero__class_Ozero(_u5040)) )).
% 12.53/12.70 cnf(fact_sum__squares__gt__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u5040) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5040), c_Groups_Ozero__class_Ozero(_u5040)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5040), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5040), _u5041), _u5041)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5040), _u5042), _u5042)))) | ( _u5041 = c_Groups_Ozero__class_Ozero(_u5040)) )).
% 12.53/12.70 cnf(fact_sum__squares__gt__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u5040) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5040), c_Groups_Ozero__class_Ozero(_u5040)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5040), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5040), _u5041), _u5041)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5040), _u5042), _u5042)))) | ( _u5042 = c_Groups_Ozero__class_Ozero(_u5040)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_not__sum__squares__lt__zero ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_not__sum__squares__lt__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u5043) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5043), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5043), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5043), _u5044), _u5044)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5043), _u5045), _u5045))), c_Groups_Ozero__class_Ozero(_u5043))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_sum__squares__le__zero__iff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_sum__squares__le__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u5046) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5046), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5046), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5046), _u5047), _u5047)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5046), _u5048), _u5048))), c_Groups_Ozero__class_Ozero(_u5046))) | ( _u5047 = c_Groups_Ozero__class_Ozero(_u5046)) )).
% 12.53/12.70 cnf(fact_sum__squares__le__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u5046) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5046), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5046), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5046), _u5047), _u5047)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5046), _u5048), _u5048))), c_Groups_Ozero__class_Ozero(_u5046))) | ( _u5048 = c_Groups_Ozero__class_Ozero(_u5046)) )).
% 12.53/12.70 cnf(fact_sum__squares__le__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u5046) | ( _u5047 != c_Groups_Ozero__class_Ozero(_u5046)) | ( _u5048 != c_Groups_Ozero__class_Ozero(_u5046)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5046), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5046), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5046), _u5047), _u5047)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5046), _u5048), _u5048))), c_Groups_Ozero__class_Ozero(_u5046))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_sum__squares__ge__zero ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_sum__squares__ge__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u5049) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5049), c_Groups_Ozero__class_Ozero(_u5049)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5049), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5049), _u5050), _u5050)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5049), _u5051), _u5051)))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_bot__nat__def ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_bot__nat__def-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_sum__squares__eq__zero__iff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_sum__squares__eq__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u5052) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5052), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5052), _u5053), _u5053)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5052), _u5054), _u5054)) != c_Groups_Ozero__class_Ozero(_u5052)) | ( _u5053 = c_Groups_Ozero__class_Ozero(_u5052)) )).
% 12.53/12.70 cnf(fact_sum__squares__eq__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u5052) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5052), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5052), _u5053), _u5053)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5052), _u5054), _u5054)) != c_Groups_Ozero__class_Ozero(_u5052)) | ( _u5054 = c_Groups_Ozero__class_Ozero(_u5052)) )).
% 12.53/12.70 cnf(fact_sum__squares__eq__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u5052) | ( _u5053 != c_Groups_Ozero__class_Ozero(_u5052)) | ( _u5054 != c_Groups_Ozero__class_Ozero(_u5052)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5052), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5052), _u5053), _u5053)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5052), _u5054), _u5054)) = c_Groups_Ozero__class_Ozero(_u5052)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_Suc__eq__plus1__left ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_Suc__eq__plus1__left-1, axiom, ( ( hAPP(c_Nat_OSuc, _u5055) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u5055)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_Suc__eq__plus1 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_Suc__eq__plus1-1, axiom, ( ( hAPP(c_Nat_OSuc, _u5056) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5056), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_diff__Suc__eq__diff__pred ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_diff__Suc__eq__diff__pred-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5057), hAPP(c_Nat_OSuc, _u5058)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5057), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u5058)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_ex__nat__less ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_ex__nat__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5059), _u5065)) | ~hBOOL(hAPP(_u5067, _u5059)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem113(_u5067, _u5065)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u5065))) )).
% 12.53/12.70 cnf(fact_ex__nat__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5059), _u5065)) | ~hBOOL(hAPP(_u5067, _u5059)) | hBOOL(hAPP(_u5067, skolem113(_u5067, _u5065))) )).
% 12.53/12.70 cnf(fact_ex__nat__less-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u5061), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u5066))) | ~hBOOL(hAPP(_u5068, _u5061)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem114(_u5068, _u5066)), _u5066)) )).
% 12.53/12.70 cnf(fact_ex__nat__less-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u5061), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u5066))) | ~hBOOL(hAPP(_u5068, _u5061)) | hBOOL(hAPP(_u5068, skolem114(_u5068, _u5066))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_all__nat__less ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_all__nat__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u5070), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u5075))) | hBOOL(hAPP(_u5077, _u5070)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem115(_u5077, _u5075)), _u5075)) )).
% 12.53/12.70 cnf(fact_all__nat__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u5070), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u5075))) | hBOOL(hAPP(_u5077, _u5070)) | ~hBOOL(hAPP(_u5077, skolem115(_u5077, _u5075))) )).
% 12.53/12.70 cnf(fact_all__nat__less-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5072), _u5076)) | hBOOL(hAPP(_u5078, _u5072)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem116(_u5078, _u5076)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u5076))) )).
% 12.53/12.70 cnf(fact_all__nat__less-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5072), _u5076)) | hBOOL(hAPP(_u5078, _u5072)) | ~hBOOL(hAPP(_u5078, skolem116(_u5078, _u5076))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_ex__nat__less__eq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_ex__nat__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5079), _u5085)) | ~hBOOL(hAPP(_u5087, _u5079)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem117(_u5087, _u5085)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5085))) )).
% 12.53/12.70 cnf(fact_ex__nat__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5079), _u5085)) | ~hBOOL(hAPP(_u5087, _u5079)) | hBOOL(hAPP(_u5087, skolem117(_u5087, _u5085))) )).
% 12.53/12.70 cnf(fact_ex__nat__less__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u5081), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5086))) | ~hBOOL(hAPP(_u5088, _u5081)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem118(_u5088, _u5086)), _u5086)) )).
% 12.53/12.70 cnf(fact_ex__nat__less__eq-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u5081), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5086))) | ~hBOOL(hAPP(_u5088, _u5081)) | hBOOL(hAPP(_u5088, skolem118(_u5088, _u5086))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_all__nat__less__eq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_all__nat__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u5090), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5095))) | hBOOL(hAPP(_u5097, _u5090)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem119(_u5097, _u5095)), _u5095)) )).
% 12.53/12.70 cnf(fact_all__nat__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u5090), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5095))) | hBOOL(hAPP(_u5097, _u5090)) | ~hBOOL(hAPP(_u5097, skolem119(_u5097, _u5095))) )).
% 12.53/12.70 cnf(fact_all__nat__less__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5092), _u5096)) | hBOOL(hAPP(_u5098, _u5092)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem120(_u5098, _u5096)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5096))) )).
% 12.53/12.70 cnf(fact_all__nat__less__eq-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5092), _u5096)) | hBOOL(hAPP(_u5098, _u5092)) | ~hBOOL(hAPP(_u5098, skolem120(_u5098, _u5096))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_even__less__0__iff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_even__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u5099) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5099), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5099), _u5100), _u5100)), c_Groups_Ozero__class_Ozero(_u5099))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5099), _u5100), c_Groups_Ozero__class_Ozero(_u5099))) )).
% 12.53/12.70 cnf(fact_even__less__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u5099) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5099), _u5100), c_Groups_Ozero__class_Ozero(_u5099))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5099), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5099), _u5100), _u5100)), c_Groups_Ozero__class_Ozero(_u5099))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_comm__monoid__big_OF__eq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_comm__monoid__big_OF__eq-1, axiom, ( ~c_Big__Operators_Ocomm__monoid__big(_u5101, _u5102, _u5103, _u5104, _u5105) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5102), _u5106)) | ( hAPP(hAPP(_u5105, _u5107), _u5106) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5101, _u5102, _u5103), _u5107), _u5104), _u5106)) )).
% 12.53/12.70 cnf(fact_comm__monoid__big_OF__eq-2, axiom, ( ~c_Big__Operators_Ocomm__monoid__big(_u5101, _u5102, _u5103, _u5104, _u5105) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5102), _u5106)) | ( hAPP(hAPP(_u5105, _u5107), _u5106) = _u5104) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_card_Ounion__inter__neutral ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_card_Ounion__inter__neutral-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5109), _u5110)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5109), _u5111)) | ( hAPP(c_Finite__Set_Ocard(_u5109), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5109, tc_HOL_Obool)), _u5110), _u5111)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5109), _u5110)), hAPP(c_Finite__Set_Ocard(_u5109), _u5111))) | hBOOL(hAPP(hAPP(c_member(_u5109), skolem121(_u5111, _u5110, _u5109)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5109, tc_HOL_Obool)), _u5110), _u5111))) )).
% 12.53/12.70 cnf(fact_card_Ounion__inter__neutral-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5109), _u5110)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5109), _u5111)) | ( hAPP(c_Finite__Set_Ocard(_u5109), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5109, tc_HOL_Obool)), _u5110), _u5111)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5109), _u5110)), hAPP(c_Finite__Set_Ocard(_u5109), _u5111))) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_comm__monoid__big_Oinfinite ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_comm__monoid__big_Oinfinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u5113), _u5117)) | ( hAPP(hAPP(_u5116, _u5118), _u5117) = _u5115) | ~c_Big__Operators_Ocomm__monoid__big(_u5112, _u5113, _u5114, _u5115, _u5116) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_double__eq__0__iff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_double__eq__0__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u5119) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5119), _u5120), _u5120) != c_Groups_Ozero__class_Ozero(_u5119)) | ( _u5120 = c_Groups_Ozero__class_Ozero(_u5119)) )).
% 12.53/12.70 cnf(fact_double__eq__0__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u5119) | ( _u5120 != c_Groups_Ozero__class_Ozero(_u5119)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5119), _u5120), _u5120) = c_Groups_Ozero__class_Ozero(_u5119)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_setsum__mono2 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_setsum__mono2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u5122) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5123), _u5124)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5123, tc_HOL_Obool)), _u5125), _u5124)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5122), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5123, _u5122), _u5126), _u5125)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5123, _u5122), _u5126), _u5124))) | hBOOL(hAPP(hAPP(c_member(_u5123), skolem122(_u5126, _u5125, _u5124, _u5123, _u5122)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5123, tc_HOL_Obool)), _u5124), _u5125))) )).
% 12.53/12.70 cnf(fact_setsum__mono2-2, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u5122) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5123), _u5124)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5123, tc_HOL_Obool)), _u5125), _u5124)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5122), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5123, _u5122), _u5126), _u5125)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5123, _u5122), _u5126), _u5124))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5122), c_Groups_Ozero__class_Ozero(_u5122)), hAPP(_u5126, skolem122(_u5126, _u5125, _u5124, _u5123, _u5122)))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_fold__image__Un__one ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_fold__image__Un__one-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u5128) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5129), _u5130)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5129), _u5131)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5128, _u5129, c_Groups_Otimes__class_Otimes(_u5128)), _u5132), c_Groups_Oone__class_Oone(_u5128)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5129, tc_HOL_Obool)), _u5130), _u5131)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5128), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5128, _u5129, c_Groups_Otimes__class_Otimes(_u5128)), _u5132), c_Groups_Oone__class_Oone(_u5128)), _u5130)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5128, _u5129, c_Groups_Otimes__class_Otimes(_u5128)), _u5132), c_Groups_Oone__class_Oone(_u5128)), _u5131))) | hBOOL(hAPP(hAPP(c_member(_u5129), skolem123(_u5132, _u5131, _u5130, _u5129, _u5128)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5129, tc_HOL_Obool)), _u5130), _u5131))) )).
% 12.53/12.70 cnf(fact_fold__image__Un__one-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u5128) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5129), _u5130)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5129), _u5131)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5128, _u5129, c_Groups_Otimes__class_Otimes(_u5128)), _u5132), c_Groups_Oone__class_Oone(_u5128)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5129, tc_HOL_Obool)), _u5130), _u5131)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5128), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5128, _u5129, c_Groups_Otimes__class_Otimes(_u5128)), _u5132), c_Groups_Oone__class_Oone(_u5128)), _u5130)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5128, _u5129, c_Groups_Otimes__class_Otimes(_u5128)), _u5132), c_Groups_Oone__class_Oone(_u5128)), _u5131))) | ( hAPP(_u5132, skolem123(_u5132, _u5131, _u5130, _u5129, _u5128)) != c_Groups_Oone__class_Oone(_u5128)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_setsum_Ounion__inter__neutral ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_setsum_Ounion__inter__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5134) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5135), _u5136)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5135), _u5137)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5135, _u5134), _u5138), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5135, tc_HOL_Obool)), _u5136), _u5137)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5134), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5135, _u5134), _u5138), _u5136)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5135, _u5134), _u5138), _u5137))) | hBOOL(hAPP(hAPP(c_member(_u5135), skolem124(_u5138, _u5137, _u5136, _u5135, _u5134)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5135, tc_HOL_Obool)), _u5136), _u5137))) )).
% 12.53/12.70 cnf(fact_setsum_Ounion__inter__neutral-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5134) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5135), _u5136)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5135), _u5137)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5135, _u5134), _u5138), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5135, tc_HOL_Obool)), _u5136), _u5137)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5134), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5135, _u5134), _u5138), _u5136)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5135, _u5134), _u5138), _u5137))) | ( hAPP(_u5138, skolem124(_u5138, _u5137, _u5136, _u5135, _u5134)) != c_Groups_Ozero__class_Ozero(_u5134)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_setsum__Un__zero ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_setsum__Un__zero-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5140) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5141), _u5142)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5141), _u5143)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5141, _u5140), _u5144), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5141, tc_HOL_Obool)), _u5142), _u5143)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5140), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5141, _u5140), _u5144), _u5142)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5141, _u5140), _u5144), _u5143))) | hBOOL(hAPP(hAPP(c_member(_u5141), skolem125(_u5144, _u5143, _u5142, _u5141, _u5140)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5141, tc_HOL_Obool)), _u5142), _u5143))) )).
% 12.53/12.70 cnf(fact_setsum__Un__zero-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5140) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5141), _u5142)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5141), _u5143)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5141, _u5140), _u5144), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5141, tc_HOL_Obool)), _u5142), _u5143)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5140), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5141, _u5140), _u5144), _u5142)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5141, _u5140), _u5144), _u5143))) | ( hAPP(_u5144, skolem125(_u5144, _u5143, _u5142, _u5141, _u5140)) != c_Groups_Ozero__class_Ozero(_u5140)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_card__Suc__eq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_card__Suc__eq-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u5152), _u5154) != hAPP(c_Nat_OSuc, _u5156)) | ( _u5154 = hAPP(hAPP(c_Set_Oinsert(_u5152), skolem126(_u5156, _u5154, _u5152)), skolem127(_u5156, _u5154, _u5152))) )).
% 12.53/12.70 cnf(fact_card__Suc__eq-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u5152), _u5154) != hAPP(c_Nat_OSuc, _u5156)) | ~hBOOL(hAPP(hAPP(c_member(_u5152), skolem126(_u5156, _u5154, _u5152)), skolem127(_u5156, _u5154, _u5152))) )).
% 12.53/12.70 cnf(fact_card__Suc__eq-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u5152), _u5154) != hAPP(c_Nat_OSuc, _u5156)) | ( hAPP(c_Finite__Set_Ocard(_u5152), skolem127(_u5156, _u5154, _u5152)) = _u5156) )).
% 12.53/12.70 cnf(fact_card__Suc__eq-4, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u5152), _u5154) != hAPP(c_Nat_OSuc, _u5156)) | ( _u5156 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem127(_u5156, _u5154, _u5152) = c_Orderings_Obot__class_Obot(tc_fun(_u5152, tc_HOL_Obool))) )).
% 12.53/12.70 cnf(fact_card__Suc__eq-5, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u5153), _u5155) = hAPP(c_Nat_OSuc, _u5157)) | ( _u5155 != hAPP(hAPP(c_Set_Oinsert(_u5153), _u5148), _u5147)) | hBOOL(hAPP(hAPP(c_member(_u5153), _u5148), _u5147)) | ( hAPP(c_Finite__Set_Ocard(_u5153), _u5147) != _u5157) | ( _u5157 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.70 cnf(fact_card__Suc__eq-6, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u5153), _u5155) = hAPP(c_Nat_OSuc, _u5157)) | ( _u5155 != hAPP(hAPP(c_Set_Oinsert(_u5153), _u5148), _u5147)) | hBOOL(hAPP(hAPP(c_member(_u5153), _u5148), _u5147)) | ( hAPP(c_Finite__Set_Ocard(_u5153), _u5147) != _u5157) | ( _u5147 != c_Orderings_Obot__class_Obot(tc_fun(_u5153, tc_HOL_Obool))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_setsum__mono3 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_setsum__mono3-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5159) | ~class_Groups_Oordered__ab__semigroup__add(_u5159) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5160), _u5161)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5160, tc_HOL_Obool)), _u5162), _u5161)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5159), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5160, _u5159), _u5163), _u5162)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5160, _u5159), _u5163), _u5161))) | hBOOL(hAPP(hAPP(c_member(_u5160), skolem128(_u5163, _u5162, _u5161, _u5160, _u5159)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5160, tc_HOL_Obool)), _u5161), _u5162))) )).
% 12.53/12.70 cnf(fact_setsum__mono3-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5159) | ~class_Groups_Oordered__ab__semigroup__add(_u5159) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5160), _u5161)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5160, tc_HOL_Obool)), _u5162), _u5161)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5159), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5160, _u5159), _u5163), _u5162)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5160, _u5159), _u5163), _u5161))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5159), c_Groups_Ozero__class_Ozero(_u5159)), hAPP(_u5163, skolem128(_u5163, _u5162, _u5161, _u5160, _u5159)))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_Ints__odd__less__0 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_Ints__odd__less__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u5164) | ~hBOOL(hAPP(hAPP(c_member(_u5164), _u5165), c_Int_Oring__1__class_OInts(_u5164))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5164), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5164), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5164), c_Groups_Oone__class_Oone(_u5164)), _u5165)), _u5165)), c_Groups_Ozero__class_Ozero(_u5164))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5164), _u5165), c_Groups_Ozero__class_Ozero(_u5164))) )).
% 12.53/12.70 cnf(fact_Ints__odd__less__0-2, axiom, ( ~class_Rings_Olinordered__idom(_u5164) | ~hBOOL(hAPP(hAPP(c_member(_u5164), _u5165), c_Int_Oring__1__class_OInts(_u5164))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5164), _u5165), c_Groups_Ozero__class_Ozero(_u5164))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5164), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5164), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5164), c_Groups_Oone__class_Oone(_u5164)), _u5165)), _u5165)), c_Groups_Ozero__class_Ozero(_u5164))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_Ints__0 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_Ints__0-1, axiom, ( ~class_Rings_Oring__1(_u5166) | hBOOL(hAPP(hAPP(c_member(_u5166), c_Groups_Ozero__class_Ozero(_u5166)), c_Int_Oring__1__class_OInts(_u5166))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_Ints__add ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_Ints__add-1, axiom, ( ~class_Rings_Oring__1(_u5167) | ~hBOOL(hAPP(hAPP(c_member(_u5167), _u5168), c_Int_Oring__1__class_OInts(_u5167))) | ~hBOOL(hAPP(hAPP(c_member(_u5167), _u5169), c_Int_Oring__1__class_OInts(_u5167))) | hBOOL(hAPP(hAPP(c_member(_u5167), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5167), _u5168), _u5169)), c_Int_Oring__1__class_OInts(_u5167))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_Ints__mult ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_Ints__mult-1, axiom, ( ~class_Rings_Oring__1(_u5170) | ~hBOOL(hAPP(hAPP(c_member(_u5170), _u5171), c_Int_Oring__1__class_OInts(_u5170))) | ~hBOOL(hAPP(hAPP(c_member(_u5170), _u5172), c_Int_Oring__1__class_OInts(_u5170))) | hBOOL(hAPP(hAPP(c_member(_u5170), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5170), _u5171), _u5172)), c_Int_Oring__1__class_OInts(_u5170))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_Ints__diff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_Ints__diff-1, axiom, ( ~class_Rings_Oring__1(_u5173) | ~hBOOL(hAPP(hAPP(c_member(_u5173), _u5174), c_Int_Oring__1__class_OInts(_u5173))) | ~hBOOL(hAPP(hAPP(c_member(_u5173), _u5175), c_Int_Oring__1__class_OInts(_u5173))) | hBOOL(hAPP(hAPP(c_member(_u5173), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5173), _u5174), _u5175)), c_Int_Oring__1__class_OInts(_u5173))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_Ints__1 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_Ints__1-1, axiom, ( ~class_Rings_Oring__1(_u5176) | hBOOL(hAPP(hAPP(c_member(_u5176), c_Groups_Oone__class_Oone(_u5176)), c_Int_Oring__1__class_OInts(_u5176))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_Ints__minus ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_Ints__minus-1, axiom, ( ~class_Rings_Oring__1(_u5177) | ~hBOOL(hAPP(hAPP(c_member(_u5177), _u5178), c_Int_Oring__1__class_OInts(_u5177))) | hBOOL(hAPP(hAPP(c_member(_u5177), hAPP(c_Groups_Ouminus__class_Ouminus(_u5177), _u5178)), c_Int_Oring__1__class_OInts(_u5177))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_Ints__double__eq__0__iff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_Ints__double__eq__0__iff-1, axiom, ( ~class_Int_Oring__char__0(_u5179) | ~hBOOL(hAPP(hAPP(c_member(_u5179), _u5180), c_Int_Oring__1__class_OInts(_u5179))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5179), _u5180), _u5180) != c_Groups_Ozero__class_Ozero(_u5179)) | ( _u5180 = c_Groups_Ozero__class_Ozero(_u5179)) )).
% 12.53/12.70 cnf(fact_Ints__double__eq__0__iff-2, axiom, ( ~class_Int_Oring__char__0(_u5179) | ~hBOOL(hAPP(hAPP(c_member(_u5179), _u5180), c_Int_Oring__1__class_OInts(_u5179))) | ( _u5180 != c_Groups_Ozero__class_Ozero(_u5179)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5179), _u5180), _u5180) = c_Groups_Ozero__class_Ozero(_u5179)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_Ints__odd__nonzero ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_Ints__odd__nonzero-1, axiom, ( ~class_Int_Oring__char__0(_u5181) | ~hBOOL(hAPP(hAPP(c_member(_u5181), _u5182), c_Int_Oring__1__class_OInts(_u5181))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5181), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5181), c_Groups_Oone__class_Oone(_u5181)), _u5182)), _u5182) != c_Groups_Ozero__class_Ozero(_u5181)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_card__Plus__conv__if ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_card__Plus__conv__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5187), _u5189)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5191), _u5193)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u5187, _u5191)), c_Sum__Type_OPlus(_u5187, _u5191, _u5189, _u5193)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5187), _u5189)), hAPP(c_Finite__Set_Ocard(_u5191), _u5193))) )).
% 12.53/12.70 cnf(fact_card__Plus__conv__if-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u5188, _u5192)), c_Sum__Type_OPlus(_u5188, _u5192, _u5190, _u5194)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5188), _u5190)) )).
% 12.53/12.70 cnf(fact_card__Plus__conv__if-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u5188, _u5192)), c_Sum__Type_OPlus(_u5188, _u5192, _u5190, _u5194)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5192), _u5194)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_setprod__diff1 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_setprod__diff1-1, axiom, ( ~class_Fields_Ofield(_u5195) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5196), _u5197)) | ( hAPP(_u5198, _u5199) = c_Groups_Ozero__class_Ozero(_u5195)) | ~hBOOL(hAPP(hAPP(c_member(_u5196), _u5199), _u5197)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5196, _u5195), _u5198), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5196, tc_HOL_Obool)), _u5197), hAPP(hAPP(c_Set_Oinsert(_u5196), _u5199), c_Orderings_Obot__class_Obot(tc_fun(_u5196, tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5195), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5196, _u5195), _u5198), _u5197)), hAPP(_u5198, _u5199))) )).
% 12.53/12.70 cnf(fact_setprod__diff1-2, axiom, ( ~class_Fields_Ofield(_u5195) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5196), _u5197)) | ( hAPP(_u5198, _u5199) = c_Groups_Ozero__class_Ozero(_u5195)) | hBOOL(hAPP(hAPP(c_member(_u5196), _u5199), _u5197)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5196, _u5195), _u5198), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5196, tc_HOL_Obool)), _u5197), hAPP(hAPP(c_Set_Oinsert(_u5196), _u5199), c_Orderings_Obot__class_Obot(tc_fun(_u5196, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5196, _u5195), _u5198), _u5197)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_ex__least__nat__less ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_ex__least__nat__less-1, axiom, ( hBOOL(hAPP(_u5202, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u5202, _u5203)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem129(_u5203, _u5202)), _u5203)) )).
% 12.53/12.70 cnf(fact_ex__least__nat__less-2, axiom, ( hBOOL(hAPP(_u5202, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u5202, _u5203)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5200), skolem129(_u5203, _u5202))) | ~hBOOL(hAPP(_u5202, _u5200)) )).
% 12.53/12.70 cnf(fact_ex__least__nat__less-3, axiom, ( hBOOL(hAPP(_u5202, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u5202, _u5203)) | hBOOL(hAPP(_u5202, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem129(_u5203, _u5202)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_setsum__mono__zero__right ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_setsum__mono__zero__right-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5205) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5206), _u5207)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5206, tc_HOL_Obool)), _u5208), _u5207)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5206, _u5205), _u5209), _u5207) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5206, _u5205), _u5209), _u5208)) | hBOOL(hAPP(hAPP(c_member(_u5206), skolem130(_u5209, _u5208, _u5207, _u5206, _u5205)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5206, tc_HOL_Obool)), _u5207), _u5208))) )).
% 12.53/12.70 cnf(fact_setsum__mono__zero__right-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5205) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5206), _u5207)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5206, tc_HOL_Obool)), _u5208), _u5207)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5206, _u5205), _u5209), _u5207) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5206, _u5205), _u5209), _u5208)) | ( hAPP(_u5209, skolem130(_u5209, _u5208, _u5207, _u5206, _u5205)) != c_Groups_Ozero__class_Ozero(_u5205)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_setsum__mono__zero__left ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_setsum__mono__zero__left-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5211) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5212), _u5213)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5212, tc_HOL_Obool)), _u5214), _u5213)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5212, _u5211), _u5215), _u5214) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5212, _u5211), _u5215), _u5213)) | hBOOL(hAPP(hAPP(c_member(_u5212), skolem131(_u5215, _u5214, _u5213, _u5212, _u5211)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5212, tc_HOL_Obool)), _u5213), _u5214))) )).
% 12.53/12.70 cnf(fact_setsum__mono__zero__left-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5211) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5212), _u5213)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5212, tc_HOL_Obool)), _u5214), _u5213)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5212, _u5211), _u5215), _u5214) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5212, _u5211), _u5215), _u5213)) | ( hAPP(_u5215, skolem131(_u5215, _u5214, _u5213, _u5212, _u5211)) != c_Groups_Ozero__class_Ozero(_u5211)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_sgn__1__neg ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_sgn__1__neg-1, axiom, ( ~class_Rings_Olinordered__idom(_u5216) | ( c_Groups_Osgn__class_Osgn(_u5216, _u5217) != hAPP(c_Groups_Ouminus__class_Ouminus(_u5216), c_Groups_Oone__class_Oone(_u5216))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5216), _u5217), c_Groups_Ozero__class_Ozero(_u5216))) )).
% 12.53/12.70 cnf(fact_sgn__1__neg-2, axiom, ( ~class_Rings_Olinordered__idom(_u5216) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5216), _u5217), c_Groups_Ozero__class_Ozero(_u5216))) | ( c_Groups_Osgn__class_Osgn(_u5216, _u5217) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5216), c_Groups_Oone__class_Oone(_u5216))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_sgn__sgn ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_sgn__sgn-1, axiom, ( ~class_Rings_Olinordered__idom(_u5218) | ( c_Groups_Osgn__class_Osgn(_u5218, c_Groups_Osgn__class_Osgn(_u5218, _u5219)) = c_Groups_Osgn__class_Osgn(_u5218, _u5219)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__zero__left ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__zero__left-1, axiom, ( ~class_Rings_Odivision__ring(_u5220) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5220), c_Groups_Ozero__class_Ozero(_u5220)), _u5221) = c_Groups_Ozero__class_Ozero(_u5220)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__zero ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__zero-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u5222) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5222), _u5223), c_Groups_Ozero__class_Ozero(_u5222)) = c_Groups_Ozero__class_Ozero(_u5222)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_add__divide__distrib ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_add__divide__distrib-1, axiom, ( ~class_Rings_Odivision__ring(_u5224) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5224), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5224), _u5225), _u5226)), _u5227) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5224), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5224), _u5225), _u5227)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5224), _u5226), _u5227))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_times__divide__eq__right ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_times__divide__eq__right-1, axiom, ( ~class_Rings_Odivision__ring(_u5228) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5228), _u5229), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5228), _u5230), _u5231)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5228), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5228), _u5229), _u5230)), _u5231)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_diff__divide__distrib ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_diff__divide__distrib-1, axiom, ( ~class_Rings_Odivision__ring(_u5232) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5232), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5232), _u5233), _u5234)), _u5235) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5232), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5232), _u5233), _u5235)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5232), _u5234), _u5235))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__1 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__1-1, axiom, ( ~class_Rings_Odivision__ring(_u5236) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5236), _u5237), c_Groups_Oone__class_Oone(_u5236)) = _u5237) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_minus__divide__left ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_minus__divide__left-1, axiom, ( ~class_Rings_Odivision__ring(_u5238) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5238), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5238), _u5239), _u5240)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5238), hAPP(c_Groups_Ouminus__class_Ouminus(_u5238), _u5239)), _u5240)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_sgn__0__0 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_sgn__0__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u5241) | ( c_Groups_Osgn__class_Osgn(_u5241, _u5242) != c_Groups_Ozero__class_Ozero(_u5241)) | ( _u5242 = c_Groups_Ozero__class_Ozero(_u5241)) )).
% 12.53/12.70 cnf(fact_sgn__0__0-2, axiom, ( ~class_Rings_Olinordered__idom(_u5241) | ( _u5242 != c_Groups_Ozero__class_Ozero(_u5241)) | ( c_Groups_Osgn__class_Osgn(_u5241, _u5242) = c_Groups_Ozero__class_Ozero(_u5241)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_sgn0 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_sgn0-1, axiom, ( ~class_Groups_Osgn__if(_u5243) | ( c_Groups_Osgn__class_Osgn(_u5243, c_Groups_Ozero__class_Ozero(_u5243)) = c_Groups_Ozero__class_Ozero(_u5243)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_sgn__times ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_sgn__times-1, axiom, ( ~class_Rings_Olinordered__idom(_u5244) | ( c_Groups_Osgn__class_Osgn(_u5244, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5244), _u5245), _u5246)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5244), c_Groups_Osgn__class_Osgn(_u5244, _u5245)), c_Groups_Osgn__class_Osgn(_u5244, _u5246))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_eq__divide__imp ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_eq__divide__imp-1, axiom, ( ~class_Rings_Odivision__ring(_u5247) | ( _u5248 = c_Groups_Ozero__class_Ozero(_u5247)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5247), _u5249), _u5248) != _u5250) | ( _u5249 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5247), _u5250), _u5248)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__eq__imp ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__eq__imp-1, axiom, ( ~class_Rings_Odivision__ring(_u5251) | ( _u5252 = c_Groups_Ozero__class_Ozero(_u5251)) | ( _u5253 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5251), _u5254), _u5252)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5251), _u5253), _u5252) = _u5254) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_nonzero__divide__eq__eq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_nonzero__divide__eq__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u5255) | ( _u5256 = c_Groups_Ozero__class_Ozero(_u5255)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5255), _u5257), _u5256) != _u5258) | ( _u5257 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5255), _u5258), _u5256)) )).
% 12.53/12.70 cnf(fact_nonzero__divide__eq__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u5255) | ( _u5256 = c_Groups_Ozero__class_Ozero(_u5255)) | ( _u5257 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5255), _u5258), _u5256)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5255), _u5257), _u5256) = _u5258) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_nonzero__eq__divide__eq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_nonzero__eq__divide__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u5259) | ( _u5260 = c_Groups_Ozero__class_Ozero(_u5259)) | ( _u5261 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5259), _u5262), _u5260)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5259), _u5261), _u5260) = _u5262) )).
% 12.53/12.70 cnf(fact_nonzero__eq__divide__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u5259) | ( _u5260 = c_Groups_Ozero__class_Ozero(_u5259)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5259), _u5261), _u5260) != _u5262) | ( _u5261 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5259), _u5262), _u5260)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_right__inverse__eq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_right__inverse__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u5263) | ( _u5264 = c_Groups_Ozero__class_Ozero(_u5263)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5263), _u5265), _u5264) != c_Groups_Oone__class_Oone(_u5263)) | ( _u5265 = _u5264) )).
% 12.53/12.70 cnf(fact_right__inverse__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u5263) | ( _u5264 = c_Groups_Ozero__class_Ozero(_u5263)) | ( _u5265 != _u5264) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5263), _u5265), _u5264) = c_Groups_Oone__class_Oone(_u5263)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__self ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__self-1, axiom, ( ~class_Rings_Odivision__ring(_u5266) | ( _u5267 = c_Groups_Ozero__class_Ozero(_u5266)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5266), _u5267), _u5267) = c_Groups_Oone__class_Oone(_u5266)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__self__if ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__self__if-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u5268) | ( _u5269 != c_Groups_Ozero__class_Ozero(_u5268)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5268), _u5269), _u5269) = c_Groups_Ozero__class_Ozero(_u5268)) )).
% 12.53/12.70 cnf(fact_divide__self__if-2, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u5268) | ( _u5269 = c_Groups_Ozero__class_Ozero(_u5268)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5268), _u5269), _u5269) = c_Groups_Oone__class_Oone(_u5268)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_nonzero__minus__divide__divide ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_nonzero__minus__divide__divide-1, axiom, ( ~class_Rings_Odivision__ring(_u5270) | ( _u5271 = c_Groups_Ozero__class_Ozero(_u5270)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5270), hAPP(c_Groups_Ouminus__class_Ouminus(_u5270), _u5272)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5270), _u5271)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5270), _u5272), _u5271)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_nonzero__minus__divide__right ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_nonzero__minus__divide__right-1, axiom, ( ~class_Rings_Odivision__ring(_u5273) | ( _u5274 = c_Groups_Ozero__class_Ozero(_u5273)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5273), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5273), _u5275), _u5274)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5273), _u5275), hAPP(c_Groups_Ouminus__class_Ouminus(_u5273), _u5274))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_sgn__less ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_sgn__less-1, axiom, ( ~class_Rings_Olinordered__idom(_u5276) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5276), c_Groups_Osgn__class_Osgn(_u5276, _u5277)), c_Groups_Ozero__class_Ozero(_u5276))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5276), _u5277), c_Groups_Ozero__class_Ozero(_u5276))) )).
% 12.53/12.70 cnf(fact_sgn__less-2, axiom, ( ~class_Rings_Olinordered__idom(_u5276) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5276), _u5277), c_Groups_Ozero__class_Ozero(_u5276))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5276), c_Groups_Osgn__class_Osgn(_u5276, _u5277)), c_Groups_Ozero__class_Ozero(_u5276))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_sgn__greater ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_sgn__greater-1, axiom, ( ~class_Rings_Olinordered__idom(_u5278) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5278), c_Groups_Ozero__class_Ozero(_u5278)), c_Groups_Osgn__class_Osgn(_u5278, _u5279))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5278), c_Groups_Ozero__class_Ozero(_u5278)), _u5279)) )).
% 12.53/12.70 cnf(fact_sgn__greater-2, axiom, ( ~class_Rings_Olinordered__idom(_u5278) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5278), c_Groups_Ozero__class_Ozero(_u5278)), _u5279)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5278), c_Groups_Ozero__class_Ozero(_u5278)), c_Groups_Osgn__class_Osgn(_u5278, _u5279))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_finite__Plus__iff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_finite__Plus__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u5284, _u5286)), c_Sum__Type_OPlus(_u5284, _u5286, _u5288, _u5290))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5284), _u5288)) )).
% 12.53/12.70 cnf(fact_finite__Plus__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u5284, _u5286)), c_Sum__Type_OPlus(_u5284, _u5286, _u5288, _u5290))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5286), _u5290)) )).
% 12.53/12.70 cnf(fact_finite__Plus__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5285), _u5289)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5287), _u5291)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u5285, _u5287)), c_Sum__Type_OPlus(_u5285, _u5287, _u5289, _u5291))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_finite__Plus ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_finite__Plus-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5292), _u5293)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5294), _u5295)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u5292, _u5294)), c_Sum__Type_OPlus(_u5292, _u5294, _u5293, _u5295))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_finite__PlusD_I1_J ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_finite__PlusD_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u5296, _u5297)), c_Sum__Type_OPlus(_u5296, _u5297, _u5298, _u5299))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5296), _u5298)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_finite__PlusD_I2_J ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_finite__PlusD_I2_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u5301), _u5303)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u5300, _u5301)), c_Sum__Type_OPlus(_u5300, _u5301, _u5302, _u5303))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_sgn__pos ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_sgn__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u5304) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5304), c_Groups_Ozero__class_Ozero(_u5304)), _u5305)) | ( c_Groups_Osgn__class_Osgn(_u5304, _u5305) = c_Groups_Oone__class_Oone(_u5304)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_sgn__1__pos ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_sgn__1__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u5306) | ( c_Groups_Osgn__class_Osgn(_u5306, _u5307) != c_Groups_Oone__class_Oone(_u5306)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5306), c_Groups_Ozero__class_Ozero(_u5306)), _u5307)) )).
% 12.53/12.70 cnf(fact_sgn__1__pos-2, axiom, ( ~class_Rings_Olinordered__idom(_u5306) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5306), c_Groups_Ozero__class_Ozero(_u5306)), _u5307)) | ( c_Groups_Osgn__class_Osgn(_u5306, _u5307) = c_Groups_Oone__class_Oone(_u5306)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_card__Plus ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_card__Plus-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5308), _u5309)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5310), _u5311)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u5308, _u5310)), c_Sum__Type_OPlus(_u5308, _u5310, _u5309, _u5311)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5308), _u5309)), hAPP(c_Finite__Set_Ocard(_u5310), _u5311))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_sgn__if ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_sgn__if-1, axiom, ( ~class_Groups_Osgn__if(_u5312) | ( _u5313 != c_Groups_Ozero__class_Ozero(_u5312)) | ( c_Groups_Osgn__class_Osgn(_u5312, _u5313) = c_Groups_Ozero__class_Ozero(_u5312)) )).
% 12.53/12.70 cnf(fact_sgn__if-2, axiom, ( ~class_Groups_Osgn__if(_u5312) | ( _u5313 = c_Groups_Ozero__class_Ozero(_u5312)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5312), c_Groups_Ozero__class_Ozero(_u5312)), _u5313)) | ( c_Groups_Osgn__class_Osgn(_u5312, _u5313) = c_Groups_Oone__class_Oone(_u5312)) )).
% 12.53/12.70 cnf(fact_sgn__if-3, axiom, ( ~class_Groups_Osgn__if(_u5312) | ( _u5313 = c_Groups_Ozero__class_Ozero(_u5312)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5312), c_Groups_Ozero__class_Ozero(_u5312)), _u5313)) | ( c_Groups_Osgn__class_Osgn(_u5312, _u5313) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5312), c_Groups_Oone__class_Oone(_u5312))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_sgn__neg ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_sgn__neg-1, axiom, ( ~class_Rings_Olinordered__idom(_u5314) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5314), _u5315), c_Groups_Ozero__class_Ozero(_u5314))) | ( c_Groups_Osgn__class_Osgn(_u5314, _u5315) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5314), c_Groups_Oone__class_Oone(_u5314))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__left__mono__neg ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__left__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5316) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5316), _u5317), _u5318)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5316), _u5319), c_Groups_Ozero__class_Ozero(_u5316))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5316), c_Groups_Ozero__class_Ozero(_u5316)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5316), _u5317), _u5318))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5316), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5316), _u5319), _u5317)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5316), _u5319), _u5318))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__left__mono ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__left__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u5320) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), _u5321), _u5322)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), c_Groups_Ozero__class_Ozero(_u5320)), _u5323)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5320), c_Groups_Ozero__class_Ozero(_u5320)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5320), _u5322), _u5321))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5320), _u5323), _u5322)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5320), _u5323), _u5321))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_neg__divide__le__eq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_neg__divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5324) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5324), _u5325), c_Groups_Ozero__class_Ozero(_u5324))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5324), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5324), _u5326), _u5325)), _u5327)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5324), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5324), _u5327), _u5325)), _u5326)) )).
% 12.53/12.70 cnf(fact_neg__divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5324) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5324), _u5325), c_Groups_Ozero__class_Ozero(_u5324))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5324), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5324), _u5327), _u5325)), _u5326)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5324), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5324), _u5326), _u5325)), _u5327)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_neg__le__divide__eq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_neg__le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5328) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5328), _u5329), c_Groups_Ozero__class_Ozero(_u5328))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5328), _u5330), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5328), _u5331), _u5329))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5328), _u5331), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5328), _u5330), _u5329))) )).
% 12.53/12.70 cnf(fact_neg__le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5328) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5328), _u5329), c_Groups_Ozero__class_Ozero(_u5328))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5328), _u5331), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5328), _u5330), _u5329))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5328), _u5330), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5328), _u5331), _u5329))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__imp__le__div__pos ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__imp__le__div__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u5332) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5332), c_Groups_Ozero__class_Ozero(_u5332)), _u5333)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5332), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5332), _u5334), _u5333)), _u5335)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5332), _u5334), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5332), _u5335), _u5333))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__imp__div__pos__le ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__imp__div__pos__le-1, axiom, ( ~class_Fields_Olinordered__field(_u5336) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5336), c_Groups_Ozero__class_Ozero(_u5336)), _u5337)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5336), _u5338), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5336), _u5339), _u5337))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5336), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5336), _u5338), _u5337)), _u5339)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_times__divide__times__eq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_times__divide__times__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5340) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5340), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5340), _u5341), _u5342)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5340), _u5343), _u5344)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5340), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5340), _u5341), _u5343)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5340), _u5342), _u5344))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_minus__divide__divide ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_minus__divide__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5345) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5345), hAPP(c_Groups_Ouminus__class_Ouminus(_u5345), _u5346)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5345), _u5347)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5345), _u5346), _u5347)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_minus__divide__right ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_minus__divide__right-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5348) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5348), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5348), _u5349), _u5350)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5348), _u5349), hAPP(c_Groups_Ouminus__class_Ouminus(_u5348), _u5350))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__right__mono__neg ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__right__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5351) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5351), _u5352), _u5353)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5351), _u5354), c_Groups_Ozero__class_Ozero(_u5351))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5351), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5351), _u5353), _u5354)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5351), _u5352), _u5354))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__right__mono ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__right__mono-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5355) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5355), _u5356), _u5357)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5355), c_Groups_Ozero__class_Ozero(_u5355)), _u5358)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5355), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5355), _u5356), _u5358)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5355), _u5357), _u5358))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__le__0__iff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__le__0__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5359) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5359), _u5360), _u5361)), c_Groups_Ozero__class_Ozero(_u5359))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), c_Groups_Ozero__class_Ozero(_u5359)), _u5360)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), _u5360), c_Groups_Ozero__class_Ozero(_u5359))) )).
% 12.53/12.70 cnf(fact_divide__le__0__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5359) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5359), _u5360), _u5361)), c_Groups_Ozero__class_Ozero(_u5359))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), c_Groups_Ozero__class_Ozero(_u5359)), _u5360)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), c_Groups_Ozero__class_Ozero(_u5359)), _u5361)) )).
% 12.53/12.70 cnf(fact_divide__le__0__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5359) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5359), _u5360), _u5361)), c_Groups_Ozero__class_Ozero(_u5359))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), _u5361), c_Groups_Ozero__class_Ozero(_u5359))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), _u5360), c_Groups_Ozero__class_Ozero(_u5359))) )).
% 12.53/12.70 cnf(fact_divide__le__0__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5359) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5359), _u5360), _u5361)), c_Groups_Ozero__class_Ozero(_u5359))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), _u5361), c_Groups_Ozero__class_Ozero(_u5359))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), c_Groups_Ozero__class_Ozero(_u5359)), _u5361)) )).
% 12.53/12.70 cnf(fact_divide__le__0__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5359) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5359), _u5360), _u5361)), c_Groups_Ozero__class_Ozero(_u5359))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), c_Groups_Ozero__class_Ozero(_u5359)), _u5360)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), _u5361), c_Groups_Ozero__class_Ozero(_u5359))) )).
% 12.53/12.70 cnf(fact_divide__le__0__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5359) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5359), _u5360), _u5361)), c_Groups_Ozero__class_Ozero(_u5359))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), _u5360), c_Groups_Ozero__class_Ozero(_u5359))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), c_Groups_Ozero__class_Ozero(_u5359)), _u5361)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zero__le__divide__iff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zero__le__divide__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5362) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), c_Groups_Ozero__class_Ozero(_u5362)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5362), _u5363), _u5364))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), c_Groups_Ozero__class_Ozero(_u5362)), _u5363)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), _u5363), c_Groups_Ozero__class_Ozero(_u5362))) )).
% 12.53/12.70 cnf(fact_zero__le__divide__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5362) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), c_Groups_Ozero__class_Ozero(_u5362)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5362), _u5363), _u5364))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), c_Groups_Ozero__class_Ozero(_u5362)), _u5363)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), _u5364), c_Groups_Ozero__class_Ozero(_u5362))) )).
% 12.53/12.70 cnf(fact_zero__le__divide__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5362) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), c_Groups_Ozero__class_Ozero(_u5362)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5362), _u5363), _u5364))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), c_Groups_Ozero__class_Ozero(_u5362)), _u5364)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), _u5363), c_Groups_Ozero__class_Ozero(_u5362))) )).
% 12.53/12.70 cnf(fact_zero__le__divide__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5362) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), c_Groups_Ozero__class_Ozero(_u5362)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5362), _u5363), _u5364))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), c_Groups_Ozero__class_Ozero(_u5362)), _u5364)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), _u5364), c_Groups_Ozero__class_Ozero(_u5362))) )).
% 12.53/12.70 cnf(fact_zero__le__divide__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5362) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), c_Groups_Ozero__class_Ozero(_u5362)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5362), _u5363), _u5364))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), c_Groups_Ozero__class_Ozero(_u5362)), _u5363)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), c_Groups_Ozero__class_Ozero(_u5362)), _u5364)) )).
% 12.53/12.70 cnf(fact_zero__le__divide__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5362) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), c_Groups_Ozero__class_Ozero(_u5362)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5362), _u5363), _u5364))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), _u5363), c_Groups_Ozero__class_Ozero(_u5362))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), _u5364), c_Groups_Ozero__class_Ozero(_u5362))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__strict__right__mono__neg ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__strict__right__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u5365) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5365), _u5366), _u5367)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5365), _u5368), c_Groups_Ozero__class_Ozero(_u5365))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5365), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5365), _u5367), _u5368)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5365), _u5366), _u5368))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__strict__right__mono ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__strict__right__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u5369) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5369), _u5370), _u5371)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5369), c_Groups_Ozero__class_Ozero(_u5369)), _u5372)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5369), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5369), _u5370), _u5372)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5369), _u5371), _u5372))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__neg__neg ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__neg__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u5373) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5373), _u5374), c_Groups_Ozero__class_Ozero(_u5373))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5373), _u5375), c_Groups_Ozero__class_Ozero(_u5373))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5373), c_Groups_Ozero__class_Ozero(_u5373)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5373), _u5374), _u5375))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__neg__pos ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__neg__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u5376) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5376), _u5377), c_Groups_Ozero__class_Ozero(_u5376))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5376), c_Groups_Ozero__class_Ozero(_u5376)), _u5378)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5376), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5376), _u5377), _u5378)), c_Groups_Ozero__class_Ozero(_u5376))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__pos__neg ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__pos__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u5379) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5379), c_Groups_Ozero__class_Ozero(_u5379)), _u5380)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5379), _u5381), c_Groups_Ozero__class_Ozero(_u5379))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5379), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5379), _u5380), _u5381)), c_Groups_Ozero__class_Ozero(_u5379))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__pos__pos ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__pos__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u5382) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5382), c_Groups_Ozero__class_Ozero(_u5382)), _u5383)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5382), c_Groups_Ozero__class_Ozero(_u5382)), _u5384)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5382), c_Groups_Ozero__class_Ozero(_u5382)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5382), _u5383), _u5384))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__less__0__iff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__less__0__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5385) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5385), _u5386), _u5387)), c_Groups_Ozero__class_Ozero(_u5385))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), c_Groups_Ozero__class_Ozero(_u5385)), _u5386)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), _u5386), c_Groups_Ozero__class_Ozero(_u5385))) )).
% 12.53/12.70 cnf(fact_divide__less__0__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5385) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5385), _u5386), _u5387)), c_Groups_Ozero__class_Ozero(_u5385))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), c_Groups_Ozero__class_Ozero(_u5385)), _u5386)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), c_Groups_Ozero__class_Ozero(_u5385)), _u5387)) )).
% 12.53/12.70 cnf(fact_divide__less__0__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5385) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5385), _u5386), _u5387)), c_Groups_Ozero__class_Ozero(_u5385))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), _u5387), c_Groups_Ozero__class_Ozero(_u5385))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), _u5386), c_Groups_Ozero__class_Ozero(_u5385))) )).
% 12.53/12.70 cnf(fact_divide__less__0__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5385) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5385), _u5386), _u5387)), c_Groups_Ozero__class_Ozero(_u5385))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), _u5387), c_Groups_Ozero__class_Ozero(_u5385))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), c_Groups_Ozero__class_Ozero(_u5385)), _u5387)) )).
% 12.53/12.70 cnf(fact_divide__less__0__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5385) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5385), _u5386), _u5387)), c_Groups_Ozero__class_Ozero(_u5385))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), c_Groups_Ozero__class_Ozero(_u5385)), _u5386)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), _u5387), c_Groups_Ozero__class_Ozero(_u5385))) )).
% 12.53/12.70 cnf(fact_divide__less__0__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5385) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5385), _u5386), _u5387)), c_Groups_Ozero__class_Ozero(_u5385))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), _u5386), c_Groups_Ozero__class_Ozero(_u5385))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), c_Groups_Ozero__class_Ozero(_u5385)), _u5387)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zero__less__divide__iff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zero__less__divide__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5388) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), c_Groups_Ozero__class_Ozero(_u5388)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5388), _u5389), _u5390))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), c_Groups_Ozero__class_Ozero(_u5388)), _u5389)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), _u5389), c_Groups_Ozero__class_Ozero(_u5388))) )).
% 12.53/12.70 cnf(fact_zero__less__divide__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5388) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), c_Groups_Ozero__class_Ozero(_u5388)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5388), _u5389), _u5390))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), c_Groups_Ozero__class_Ozero(_u5388)), _u5389)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), _u5390), c_Groups_Ozero__class_Ozero(_u5388))) )).
% 12.53/12.70 cnf(fact_zero__less__divide__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5388) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), c_Groups_Ozero__class_Ozero(_u5388)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5388), _u5389), _u5390))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), c_Groups_Ozero__class_Ozero(_u5388)), _u5390)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), _u5389), c_Groups_Ozero__class_Ozero(_u5388))) )).
% 12.53/12.70 cnf(fact_zero__less__divide__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5388) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), c_Groups_Ozero__class_Ozero(_u5388)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5388), _u5389), _u5390))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), c_Groups_Ozero__class_Ozero(_u5388)), _u5390)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), _u5390), c_Groups_Ozero__class_Ozero(_u5388))) )).
% 12.53/12.70 cnf(fact_zero__less__divide__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5388) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), c_Groups_Ozero__class_Ozero(_u5388)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5388), _u5389), _u5390))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), c_Groups_Ozero__class_Ozero(_u5388)), _u5389)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), c_Groups_Ozero__class_Ozero(_u5388)), _u5390)) )).
% 12.53/12.70 cnf(fact_zero__less__divide__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5388) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), c_Groups_Ozero__class_Ozero(_u5388)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5388), _u5389), _u5390))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), _u5389), c_Groups_Ozero__class_Ozero(_u5388))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), _u5390), c_Groups_Ozero__class_Ozero(_u5388))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_eq__divide__eq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_eq__divide__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5391) | ( _u5392 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5391), _u5393), _u5394)) | ( _u5394 = c_Groups_Ozero__class_Ozero(_u5391)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5391), _u5392), _u5394) = _u5393) )).
% 12.53/12.70 cnf(fact_eq__divide__eq-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5391) | ( _u5392 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5391), _u5393), _u5394)) | ( _u5394 != c_Groups_Ozero__class_Ozero(_u5391)) | ( _u5392 = c_Groups_Ozero__class_Ozero(_u5391)) )).
% 12.53/12.70 cnf(fact_eq__divide__eq-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5391) | ( _u5392 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5391), _u5393), _u5394)) | ( _u5394 != c_Groups_Ozero__class_Ozero(_u5391)) | ( _u5392 != c_Groups_Ozero__class_Ozero(_u5391)) )).
% 12.53/12.70 cnf(fact_eq__divide__eq-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5391) | ( _u5392 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5391), _u5393), _u5394)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5391), _u5392), _u5394) != _u5393) | ( _u5394 = c_Groups_Ozero__class_Ozero(_u5391)) )).
% 12.53/12.70 cnf(fact_eq__divide__eq-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5391) | ( _u5392 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5391), _u5393), _u5394)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5391), _u5392), _u5394) != _u5393) | ( _u5392 != c_Groups_Ozero__class_Ozero(_u5391)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__eq__eq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__eq__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5395) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5395), _u5396), _u5397) != _u5398) | ( _u5397 = c_Groups_Ozero__class_Ozero(_u5395)) | ( _u5396 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5395), _u5398), _u5397)) )).
% 12.53/12.70 cnf(fact_divide__eq__eq-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5395) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5395), _u5396), _u5397) != _u5398) | ( _u5397 != c_Groups_Ozero__class_Ozero(_u5395)) | ( _u5398 = c_Groups_Ozero__class_Ozero(_u5395)) )).
% 12.53/12.70 cnf(fact_divide__eq__eq-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5395) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5395), _u5396), _u5397) = _u5398) | ( _u5397 != c_Groups_Ozero__class_Ozero(_u5395)) | ( _u5398 != c_Groups_Ozero__class_Ozero(_u5395)) )).
% 12.53/12.70 cnf(fact_divide__eq__eq-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5395) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5395), _u5396), _u5397) = _u5398) | ( _u5396 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5395), _u5398), _u5397)) | ( _u5397 = c_Groups_Ozero__class_Ozero(_u5395)) )).
% 12.53/12.70 cnf(fact_divide__eq__eq-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5395) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5395), _u5396), _u5397) = _u5398) | ( _u5396 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5395), _u5398), _u5397)) | ( _u5398 != c_Groups_Ozero__class_Ozero(_u5395)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__divide__mult__cancel__right ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__divide__mult__cancel__right-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5399) | ( _u5400 = c_Groups_Ozero__class_Ozero(_u5399)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5399), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5399), _u5401), _u5400)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5399), _u5402), _u5400)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5399), _u5401), _u5402)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__divide__mult__cancel__left ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__divide__mult__cancel__left-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5403) | ( _u5404 = c_Groups_Ozero__class_Ozero(_u5403)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5403), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5403), _u5404), _u5405)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5403), _u5404), _u5406)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5403), _u5405), _u5406)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_frac__eq__eq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_frac__eq__eq-1, axiom, ( ~class_Fields_Ofield(_u5407) | ( _u5408 = c_Groups_Ozero__class_Ozero(_u5407)) | ( _u5409 = c_Groups_Ozero__class_Ozero(_u5407)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5407), _u5410), _u5408) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5407), _u5411), _u5409)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5407), _u5410), _u5409) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5407), _u5411), _u5408)) )).
% 12.53/12.70 cnf(fact_frac__eq__eq-2, axiom, ( ~class_Fields_Ofield(_u5407) | ( _u5408 = c_Groups_Ozero__class_Ozero(_u5407)) | ( _u5409 = c_Groups_Ozero__class_Ozero(_u5407)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5407), _u5410), _u5409) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5407), _u5411), _u5408)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5407), _u5410), _u5408) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5407), _u5411), _u5409)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__nonneg__pos ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__nonneg__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u5412) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5412), c_Groups_Ozero__class_Ozero(_u5412)), _u5413)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5412), c_Groups_Ozero__class_Ozero(_u5412)), _u5414)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5412), c_Groups_Ozero__class_Ozero(_u5412)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5412), _u5413), _u5414))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__nonneg__neg ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__nonneg__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u5415) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5415), c_Groups_Ozero__class_Ozero(_u5415)), _u5416)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5415), _u5417), c_Groups_Ozero__class_Ozero(_u5415))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5415), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5415), _u5416), _u5417)), c_Groups_Ozero__class_Ozero(_u5415))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_frac__less2 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_frac__less2-1, axiom, ( ~class_Fields_Olinordered__field(_u5418) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5418), c_Groups_Ozero__class_Ozero(_u5418)), _u5419)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5418), _u5419), _u5420)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5418), c_Groups_Ozero__class_Ozero(_u5418)), _u5421)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5418), _u5421), _u5422)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5418), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5418), _u5419), _u5422)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5418), _u5420), _u5421))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_frac__less ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_frac__less-1, axiom, ( ~class_Fields_Olinordered__field(_u5423) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5423), c_Groups_Ozero__class_Ozero(_u5423)), _u5424)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5423), _u5424), _u5425)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5423), c_Groups_Ozero__class_Ozero(_u5423)), _u5426)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5423), _u5426), _u5427)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5423), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5423), _u5424), _u5427)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5423), _u5425), _u5426))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_frac__le ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_frac__le-1, axiom, ( ~class_Fields_Olinordered__field(_u5428) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5428), c_Groups_Ozero__class_Ozero(_u5428)), _u5429)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5428), _u5429), _u5430)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5428), c_Groups_Ozero__class_Ozero(_u5428)), _u5431)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5428), _u5431), _u5432)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5428), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5428), _u5429), _u5432)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5428), _u5430), _u5431))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__nonpos__pos ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__nonpos__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u5433) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5433), _u5434), c_Groups_Ozero__class_Ozero(_u5433))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5433), c_Groups_Ozero__class_Ozero(_u5433)), _u5435)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5433), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5433), _u5434), _u5435)), c_Groups_Ozero__class_Ozero(_u5433))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__nonpos__neg ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__nonpos__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u5436) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5436), _u5437), c_Groups_Ozero__class_Ozero(_u5436))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5436), _u5438), c_Groups_Ozero__class_Ozero(_u5436))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5436), c_Groups_Ozero__class_Ozero(_u5436)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5436), _u5437), _u5438))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__strict__left__mono__neg ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__strict__left__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u5439) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5439), _u5440), _u5441)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5439), _u5442), c_Groups_Ozero__class_Ozero(_u5439))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5439), c_Groups_Ozero__class_Ozero(_u5439)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5439), _u5440), _u5441))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5439), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5439), _u5442), _u5440)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5439), _u5442), _u5441))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__strict__left__mono ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__strict__left__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u5443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5443), _u5444), _u5445)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5443), c_Groups_Ozero__class_Ozero(_u5443)), _u5446)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5443), c_Groups_Ozero__class_Ozero(_u5443)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5443), _u5445), _u5444))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5443), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5443), _u5446), _u5445)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5443), _u5446), _u5444))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_neg__divide__less__eq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_neg__divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5447) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5447), _u5448), c_Groups_Ozero__class_Ozero(_u5447))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5447), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5447), _u5449), _u5448)), _u5450)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5447), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5447), _u5450), _u5448)), _u5449)) )).
% 12.53/12.70 cnf(fact_neg__divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5447) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5447), _u5448), c_Groups_Ozero__class_Ozero(_u5447))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5447), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5447), _u5450), _u5448)), _u5449)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5447), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5447), _u5449), _u5448)), _u5450)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_neg__less__divide__eq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_neg__less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5451) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5451), _u5452), c_Groups_Ozero__class_Ozero(_u5451))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5451), _u5453), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5451), _u5454), _u5452))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5451), _u5454), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5451), _u5453), _u5452))) )).
% 12.53/12.70 cnf(fact_neg__less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5451) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5451), _u5452), c_Groups_Ozero__class_Ozero(_u5451))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5451), _u5454), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5451), _u5453), _u5452))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5451), _u5453), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5451), _u5454), _u5452))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__imp__less__div__pos ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__imp__less__div__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u5455) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5455), c_Groups_Ozero__class_Ozero(_u5455)), _u5456)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5455), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5455), _u5457), _u5456)), _u5458)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5455), _u5457), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5455), _u5458), _u5456))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__imp__div__pos__less ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__imp__div__pos__less-1, axiom, ( ~class_Fields_Olinordered__field(_u5459) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5459), c_Groups_Ozero__class_Ozero(_u5459)), _u5460)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5459), _u5461), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5459), _u5462), _u5460))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5459), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5459), _u5461), _u5460)), _u5462)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_pos__divide__less__eq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_pos__divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5463) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5463), c_Groups_Ozero__class_Ozero(_u5463)), _u5464)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5463), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5463), _u5465), _u5464)), _u5466)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5463), _u5465), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5463), _u5466), _u5464))) )).
% 12.53/12.70 cnf(fact_pos__divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5463) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5463), c_Groups_Ozero__class_Ozero(_u5463)), _u5464)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5463), _u5465), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5463), _u5466), _u5464))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5463), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5463), _u5465), _u5464)), _u5466)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_pos__less__divide__eq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_pos__less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5467) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5467), c_Groups_Ozero__class_Ozero(_u5467)), _u5468)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5467), _u5469), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5467), _u5470), _u5468))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5467), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5467), _u5469), _u5468)), _u5470)) )).
% 12.53/12.70 cnf(fact_pos__less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5467) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5467), c_Groups_Ozero__class_Ozero(_u5467)), _u5468)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5467), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5467), _u5469), _u5468)), _u5470)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5467), _u5469), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5467), _u5470), _u5468))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__less__eq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5471) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5471), _u5472), _u5473)), _u5474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), c_Groups_Ozero__class_Ozero(_u5471)), _u5473)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), _u5472), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5471), _u5474), _u5473))) )).
% 12.53/12.70 cnf(fact_divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5471) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5471), _u5472), _u5473)), _u5474)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), c_Groups_Ozero__class_Ozero(_u5471)), _u5473)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), _u5473), c_Groups_Ozero__class_Ozero(_u5471))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5471), _u5474), _u5473)), _u5472)) )).
% 12.53/12.70 cnf(fact_divide__less__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5471) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5471), _u5472), _u5473)), _u5474)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), c_Groups_Ozero__class_Ozero(_u5471)), _u5473)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), _u5473), c_Groups_Ozero__class_Ozero(_u5471))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), c_Groups_Ozero__class_Ozero(_u5471)), _u5474)) )).
% 12.53/12.70 cnf(fact_divide__less__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5471) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5471), _u5472), _u5473)), _u5474)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), c_Groups_Ozero__class_Ozero(_u5471)), _u5473)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), _u5473), c_Groups_Ozero__class_Ozero(_u5471))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), c_Groups_Ozero__class_Ozero(_u5471)), _u5474)) )).
% 12.53/12.70 cnf(fact_divide__less__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5471) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5471), _u5472), _u5473)), _u5474)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), c_Groups_Ozero__class_Ozero(_u5471)), _u5473)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5471), _u5474), _u5473)), _u5472)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), _u5473), c_Groups_Ozero__class_Ozero(_u5471))) )).
% 12.53/12.70 cnf(fact_divide__less__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5471) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5471), _u5472), _u5473)), _u5474)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), c_Groups_Ozero__class_Ozero(_u5471)), _u5473)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5471), _u5474), _u5473)), _u5472)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), c_Groups_Ozero__class_Ozero(_u5471)), _u5474)) )).
% 12.53/12.70 cnf(fact_divide__less__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5471) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5471), _u5472), _u5473)), _u5474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), _u5472), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5471), _u5474), _u5473))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), c_Groups_Ozero__class_Ozero(_u5471)), _u5473)) )).
% 12.53/12.70 cnf(fact_divide__less__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5471) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5471), _u5472), _u5473)), _u5474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), _u5472), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5471), _u5474), _u5473))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), _u5473), c_Groups_Ozero__class_Ozero(_u5471))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), c_Groups_Ozero__class_Ozero(_u5471)), _u5474)) )).
% 12.53/12.70 cnf(fact_divide__less__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5471) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5471), _u5472), _u5473)), _u5474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), _u5472), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5471), _u5474), _u5473))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5471), _u5474), _u5473)), _u5472)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), _u5473), c_Groups_Ozero__class_Ozero(_u5471))) )).
% 12.53/12.70 cnf(fact_divide__less__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5471) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5471), _u5472), _u5473)), _u5474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), _u5472), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5471), _u5474), _u5473))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5471), _u5474), _u5473)), _u5472)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), c_Groups_Ozero__class_Ozero(_u5471)), _u5474)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_less__divide__eq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5475) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5476), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5475), _u5477), _u5478))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), c_Groups_Ozero__class_Ozero(_u5475)), _u5478)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5475), _u5476), _u5478)), _u5477)) )).
% 12.53/12.70 cnf(fact_less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5475) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5476), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5475), _u5477), _u5478))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), c_Groups_Ozero__class_Ozero(_u5475)), _u5478)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5478), c_Groups_Ozero__class_Ozero(_u5475))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5477), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5475), _u5476), _u5478))) )).
% 12.53/12.70 cnf(fact_less__divide__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5475) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5476), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5475), _u5477), _u5478))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), c_Groups_Ozero__class_Ozero(_u5475)), _u5478)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5478), c_Groups_Ozero__class_Ozero(_u5475))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5476), c_Groups_Ozero__class_Ozero(_u5475))) )).
% 12.53/12.70 cnf(fact_less__divide__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5475) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5476), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5475), _u5477), _u5478))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), c_Groups_Ozero__class_Ozero(_u5475)), _u5478)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5478), c_Groups_Ozero__class_Ozero(_u5475))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5476), c_Groups_Ozero__class_Ozero(_u5475))) )).
% 12.53/12.70 cnf(fact_less__divide__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5475) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5476), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5475), _u5477), _u5478))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), c_Groups_Ozero__class_Ozero(_u5475)), _u5478)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5477), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5475), _u5476), _u5478))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5478), c_Groups_Ozero__class_Ozero(_u5475))) )).
% 12.53/12.70 cnf(fact_less__divide__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5475) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5476), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5475), _u5477), _u5478))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), c_Groups_Ozero__class_Ozero(_u5475)), _u5478)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5477), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5475), _u5476), _u5478))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5476), c_Groups_Ozero__class_Ozero(_u5475))) )).
% 12.53/12.70 cnf(fact_less__divide__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5475) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5476), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5475), _u5477), _u5478))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5475), _u5476), _u5478)), _u5477)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), c_Groups_Ozero__class_Ozero(_u5475)), _u5478)) )).
% 12.53/12.70 cnf(fact_less__divide__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5475) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5476), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5475), _u5477), _u5478))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5475), _u5476), _u5478)), _u5477)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5478), c_Groups_Ozero__class_Ozero(_u5475))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5476), c_Groups_Ozero__class_Ozero(_u5475))) )).
% 12.53/12.70 cnf(fact_less__divide__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5475) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5476), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5475), _u5477), _u5478))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5475), _u5476), _u5478)), _u5477)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5477), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5475), _u5476), _u5478))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5478), c_Groups_Ozero__class_Ozero(_u5475))) )).
% 12.53/12.70 cnf(fact_less__divide__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5475) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5476), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5475), _u5477), _u5478))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5475), _u5476), _u5478)), _u5477)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5477), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5475), _u5476), _u5478))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5476), c_Groups_Ozero__class_Ozero(_u5475))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_add__num__frac ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_add__num__frac-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5479) | ( _u5480 = c_Groups_Ozero__class_Ozero(_u5479)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5479), _u5481), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5479), _u5482), _u5480)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5479), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5479), _u5482), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5479), _u5481), _u5480))), _u5480)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_add__divide__eq__iff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_add__divide__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u5483) | ( _u5484 = c_Groups_Ozero__class_Ozero(_u5483)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5483), _u5485), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5483), _u5486), _u5484)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5483), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5483), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5483), _u5484), _u5485)), _u5486)), _u5484)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_add__frac__num ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_add__frac__num-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5487) | ( _u5488 = c_Groups_Ozero__class_Ozero(_u5487)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5487), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5487), _u5489), _u5488)), _u5490) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5487), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5487), _u5489), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5487), _u5490), _u5488))), _u5488)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__add__eq__iff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__add__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u5491) | ( _u5492 = c_Groups_Ozero__class_Ozero(_u5491)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5491), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5491), _u5493), _u5492)), _u5494) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5491), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5491), _u5493), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5491), _u5492), _u5494))), _u5492)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_add__frac__eq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_add__frac__eq-1, axiom, ( ~class_Fields_Ofield(_u5495) | ( _u5496 = c_Groups_Ozero__class_Ozero(_u5495)) | ( _u5497 = c_Groups_Ozero__class_Ozero(_u5495)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5495), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5495), _u5498), _u5496)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5495), _u5499), _u5497)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5495), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5495), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5495), _u5498), _u5497)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5495), _u5499), _u5496))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5495), _u5496), _u5497))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_diff__frac__eq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_diff__frac__eq-1, axiom, ( ~class_Fields_Ofield(_u5500) | ( _u5501 = c_Groups_Ozero__class_Ozero(_u5500)) | ( _u5502 = c_Groups_Ozero__class_Ozero(_u5500)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5500), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5500), _u5503), _u5501)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5500), _u5504), _u5502)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5500), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5500), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5500), _u5503), _u5502)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5500), _u5504), _u5501))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5500), _u5501), _u5502))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__diff__eq__iff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__diff__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u5505) | ( _u5506 = c_Groups_Ozero__class_Ozero(_u5505)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5505), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5505), _u5507), _u5506)), _u5508) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5505), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5505), _u5507), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5505), _u5506), _u5508))), _u5506)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_diff__divide__eq__iff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_diff__divide__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u5509) | ( _u5510 = c_Groups_Ozero__class_Ozero(_u5509)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5509), _u5511), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5509), _u5512), _u5510)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5509), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5509), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5509), _u5510), _u5511)), _u5512)), _u5510)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_less__half__sum ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_less__half__sum-1, axiom, ( ~class_Fields_Olinordered__field(_u5513) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5513), _u5514), _u5515)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5513), _u5514), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5513), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5513), _u5514), _u5515)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5513), c_Groups_Oone__class_Oone(_u5513)), c_Groups_Oone__class_Oone(_u5513))))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_gt__half__sum ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_gt__half__sum-1, axiom, ( ~class_Fields_Olinordered__field(_u5516) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5516), _u5517), _u5518)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5516), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5516), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5516), _u5517), _u5518)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5516), c_Groups_Oone__class_Oone(_u5516)), c_Groups_Oone__class_Oone(_u5516)))), _u5518)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_le__divide__eq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5519) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5520), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5519), _u5521), _u5522))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5519), c_Groups_Ozero__class_Ozero(_u5519)), _u5522)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5520), _u5522)), _u5521)) )).
% 12.53/12.70 cnf(fact_le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5519) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5520), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5519), _u5521), _u5522))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5519), c_Groups_Ozero__class_Ozero(_u5519)), _u5522)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5519), _u5522), c_Groups_Ozero__class_Ozero(_u5519))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5521), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5520), _u5522))) )).
% 12.53/12.70 cnf(fact_le__divide__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5519) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5520), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5519), _u5521), _u5522))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5519), c_Groups_Ozero__class_Ozero(_u5519)), _u5522)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5519), _u5522), c_Groups_Ozero__class_Ozero(_u5519))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5520), c_Groups_Ozero__class_Ozero(_u5519))) )).
% 12.53/12.70 cnf(fact_le__divide__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5519) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5520), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5519), _u5521), _u5522))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5519), c_Groups_Ozero__class_Ozero(_u5519)), _u5522)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5519), _u5522), c_Groups_Ozero__class_Ozero(_u5519))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5520), c_Groups_Ozero__class_Ozero(_u5519))) )).
% 12.53/12.70 cnf(fact_le__divide__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5519) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5520), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5519), _u5521), _u5522))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5519), c_Groups_Ozero__class_Ozero(_u5519)), _u5522)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5521), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5520), _u5522))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5519), _u5522), c_Groups_Ozero__class_Ozero(_u5519))) )).
% 12.53/12.70 cnf(fact_le__divide__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5519) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5520), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5519), _u5521), _u5522))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5519), c_Groups_Ozero__class_Ozero(_u5519)), _u5522)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5521), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5520), _u5522))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5520), c_Groups_Ozero__class_Ozero(_u5519))) )).
% 12.53/12.70 cnf(fact_le__divide__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5519) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5520), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5519), _u5521), _u5522))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5520), _u5522)), _u5521)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5519), c_Groups_Ozero__class_Ozero(_u5519)), _u5522)) )).
% 12.53/12.70 cnf(fact_le__divide__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5519) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5520), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5519), _u5521), _u5522))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5520), _u5522)), _u5521)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5519), _u5522), c_Groups_Ozero__class_Ozero(_u5519))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5520), c_Groups_Ozero__class_Ozero(_u5519))) )).
% 12.53/12.70 cnf(fact_le__divide__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5519) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5520), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5519), _u5521), _u5522))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5520), _u5522)), _u5521)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5521), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5520), _u5522))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5519), _u5522), c_Groups_Ozero__class_Ozero(_u5519))) )).
% 12.53/12.70 cnf(fact_le__divide__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5519) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5520), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5519), _u5521), _u5522))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5520), _u5522)), _u5521)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5521), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5520), _u5522))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5520), c_Groups_Ozero__class_Ozero(_u5519))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__le__eq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5523) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5523), _u5524), _u5525)), _u5526)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5523), c_Groups_Ozero__class_Ozero(_u5523)), _u5525)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), _u5524), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5523), _u5526), _u5525))) )).
% 12.53/12.70 cnf(fact_divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5523) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5523), _u5524), _u5525)), _u5526)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5523), c_Groups_Ozero__class_Ozero(_u5523)), _u5525)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5523), _u5525), c_Groups_Ozero__class_Ozero(_u5523))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5523), _u5526), _u5525)), _u5524)) )).
% 12.53/12.70 cnf(fact_divide__le__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5523) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5523), _u5524), _u5525)), _u5526)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5523), c_Groups_Ozero__class_Ozero(_u5523)), _u5525)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5523), _u5525), c_Groups_Ozero__class_Ozero(_u5523))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), c_Groups_Ozero__class_Ozero(_u5523)), _u5526)) )).
% 12.53/12.70 cnf(fact_divide__le__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5523) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5523), _u5524), _u5525)), _u5526)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5523), c_Groups_Ozero__class_Ozero(_u5523)), _u5525)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5523), _u5525), c_Groups_Ozero__class_Ozero(_u5523))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), c_Groups_Ozero__class_Ozero(_u5523)), _u5526)) )).
% 12.53/12.70 cnf(fact_divide__le__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5523) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5523), _u5524), _u5525)), _u5526)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5523), c_Groups_Ozero__class_Ozero(_u5523)), _u5525)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5523), _u5526), _u5525)), _u5524)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5523), _u5525), c_Groups_Ozero__class_Ozero(_u5523))) )).
% 12.53/12.70 cnf(fact_divide__le__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5523) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5523), _u5524), _u5525)), _u5526)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5523), c_Groups_Ozero__class_Ozero(_u5523)), _u5525)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5523), _u5526), _u5525)), _u5524)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), c_Groups_Ozero__class_Ozero(_u5523)), _u5526)) )).
% 12.53/12.70 cnf(fact_divide__le__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5523) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5523), _u5524), _u5525)), _u5526)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), _u5524), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5523), _u5526), _u5525))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5523), c_Groups_Ozero__class_Ozero(_u5523)), _u5525)) )).
% 12.53/12.70 cnf(fact_divide__le__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5523) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5523), _u5524), _u5525)), _u5526)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), _u5524), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5523), _u5526), _u5525))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5523), _u5525), c_Groups_Ozero__class_Ozero(_u5523))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), c_Groups_Ozero__class_Ozero(_u5523)), _u5526)) )).
% 12.53/12.70 cnf(fact_divide__le__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5523) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5523), _u5524), _u5525)), _u5526)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), _u5524), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5523), _u5526), _u5525))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5523), _u5526), _u5525)), _u5524)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5523), _u5525), c_Groups_Ozero__class_Ozero(_u5523))) )).
% 12.53/12.70 cnf(fact_divide__le__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5523) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5523), _u5524), _u5525)), _u5526)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), _u5524), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5523), _u5526), _u5525))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5523), _u5526), _u5525)), _u5524)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), c_Groups_Ozero__class_Ozero(_u5523)), _u5526)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_pos__le__divide__eq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_pos__le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5527) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5527), c_Groups_Ozero__class_Ozero(_u5527)), _u5528)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5527), _u5529), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5527), _u5530), _u5528))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5527), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5527), _u5529), _u5528)), _u5530)) )).
% 12.53/12.70 cnf(fact_pos__le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5527) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5527), c_Groups_Ozero__class_Ozero(_u5527)), _u5528)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5527), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5527), _u5529), _u5528)), _u5530)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5527), _u5529), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5527), _u5530), _u5528))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_pos__divide__le__eq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_pos__divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u5531) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5531), c_Groups_Ozero__class_Ozero(_u5531)), _u5532)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5531), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5531), _u5533), _u5532)), _u5534)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5531), _u5533), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5531), _u5534), _u5532))) )).
% 12.53/12.70 cnf(fact_pos__divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u5531) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5531), c_Groups_Ozero__class_Ozero(_u5531)), _u5532)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5531), _u5533), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5531), _u5534), _u5532))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5531), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5531), _u5533), _u5532)), _u5534)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_UNIV__Plus__UNIV ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_UNIV__Plus__UNIV-1, axiom, ( ( c_Sum__Type_OPlus(_u5535, _u5536, c_Orderings_Otop__class_Otop(tc_fun(_u5535, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u5536, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u5535, _u5536), tc_HOL_Obool))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_setprod__Un ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_setprod__Un-1, axiom, ( ~class_Fields_Ofield(_u5538) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5539), _u5540)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5539), _u5541)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5539, _u5538), _u5542), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5539, tc_HOL_Obool)), _u5540), _u5541)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5538), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5538), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5539, _u5538), _u5542), _u5540)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5539, _u5538), _u5542), _u5541))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5539, _u5538), _u5542), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5539, tc_HOL_Obool)), _u5540), _u5541)))) | hBOOL(hAPP(hAPP(c_member(_u5539), skolem132(_u5542, _u5541, _u5540, _u5539, _u5538)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5539, tc_HOL_Obool)), _u5540), _u5541))) )).
% 12.53/12.70 cnf(fact_setprod__Un-2, axiom, ( ~class_Fields_Ofield(_u5538) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5539), _u5540)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5539), _u5541)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5539, _u5538), _u5542), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5539, tc_HOL_Obool)), _u5540), _u5541)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5538), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5538), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5539, _u5538), _u5542), _u5540)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5539, _u5538), _u5542), _u5541))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5539, _u5538), _u5542), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5539, tc_HOL_Obool)), _u5540), _u5541)))) | ( hAPP(_u5542, skolem132(_u5542, _u5541, _u5540, _u5539, _u5538)) = c_Groups_Ozero__class_Ozero(_u5538)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_Plus__eq__empty__conv ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_Plus__eq__empty__conv-1, axiom, ( ( c_Sum__Type_OPlus(_u5547, _u5549, _u5551, _u5553) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u5547, _u5549), tc_HOL_Obool))) | ( _u5551 = c_Orderings_Obot__class_Obot(tc_fun(_u5547, tc_HOL_Obool))) )).
% 12.53/12.70 cnf(fact_Plus__eq__empty__conv-2, axiom, ( ( c_Sum__Type_OPlus(_u5547, _u5549, _u5551, _u5553) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u5547, _u5549), tc_HOL_Obool))) | ( _u5553 = c_Orderings_Obot__class_Obot(tc_fun(_u5549, tc_HOL_Obool))) )).
% 12.53/12.70 cnf(fact_Plus__eq__empty__conv-3, axiom, ( ( _u5552 != c_Orderings_Obot__class_Obot(tc_fun(_u5548, tc_HOL_Obool))) | ( _u5554 != c_Orderings_Obot__class_Obot(tc_fun(_u5550, tc_HOL_Obool))) | ( c_Sum__Type_OPlus(_u5548, _u5550, _u5552, _u5554) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u5548, _u5550), tc_HOL_Obool))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_field__le__mult__one__interval ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_field__le__mult__one__interval-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5556) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5556), _u5557), _u5558)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5556), c_Groups_Ozero__class_Ozero(_u5556)), skolem133(_u5558, _u5557, _u5556))) )).
% 12.53/12.70 cnf(fact_field__le__mult__one__interval-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5556) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5556), _u5557), _u5558)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5556), skolem133(_u5558, _u5557, _u5556)), c_Groups_Oone__class_Oone(_u5556))) )).
% 12.53/12.70 cnf(fact_field__le__mult__one__interval-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5556) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5556), _u5557), _u5558)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5556), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5556), skolem133(_u5558, _u5557, _u5556)), _u5557)), _u5558)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_setprod__pos__nat ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_setprod__pos__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5560), _u5561)) | 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(_u5560, tc_Nat_Onat), _u5562), _u5561))) | hBOOL(hAPP(hAPP(c_member(_u5560), skolem134(_u5562, _u5561, _u5560)), _u5561)) )).
% 12.53/12.70 cnf(fact_setprod__pos__nat-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5560), _u5561)) | 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(_u5560, tc_Nat_Onat), _u5562), _u5561))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u5562, skolem134(_u5562, _u5561, _u5560)))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_setsum__SucD ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_setsum__SucD-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5564, tc_Nat_Onat), _u5565), _u5566) != hAPP(c_Nat_OSuc, _u5567)) | hBOOL(hAPP(hAPP(c_member(_u5564), skolem135(_u5567, _u5566, _u5565, _u5564)), _u5566)) )).
% 12.53/12.70 cnf(fact_setsum__SucD-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5564, tc_Nat_Onat), _u5565), _u5566) != hAPP(c_Nat_OSuc, _u5567)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u5565, skolem135(_u5567, _u5566, _u5565, _u5564)))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_card__partition ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_card__partition-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u5571, tc_HOL_Obool)), _u5572)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5571), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u5571, tc_HOL_Obool), _u5572))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u5571, tc_HOL_Obool)), skolem136(_u5573, _u5572, _u5571)), _u5572)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5573), hAPP(c_Finite__Set_Ocard(tc_fun(_u5571, tc_HOL_Obool)), _u5572)) = hAPP(c_Finite__Set_Ocard(_u5571), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u5571, tc_HOL_Obool), _u5572))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u5571, tc_HOL_Obool)), skolem137(_u5573, _u5572, _u5571)), _u5572)) )).
% 12.53/12.70 cnf(fact_card__partition-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u5571, tc_HOL_Obool)), _u5572)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5571), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u5571, tc_HOL_Obool), _u5572))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u5571, tc_HOL_Obool)), skolem136(_u5573, _u5572, _u5571)), _u5572)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5573), hAPP(c_Finite__Set_Ocard(tc_fun(_u5571, tc_HOL_Obool)), _u5572)) = hAPP(c_Finite__Set_Ocard(_u5571), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u5571, tc_HOL_Obool), _u5572))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u5571, tc_HOL_Obool)), skolem138(_u5573, _u5572, _u5571)), _u5572)) )).
% 12.53/12.70 cnf(fact_card__partition-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u5571, tc_HOL_Obool)), _u5572)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5571), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u5571, tc_HOL_Obool), _u5572))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u5571, tc_HOL_Obool)), skolem136(_u5573, _u5572, _u5571)), _u5572)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5573), hAPP(c_Finite__Set_Ocard(tc_fun(_u5571, tc_HOL_Obool)), _u5572)) = hAPP(c_Finite__Set_Ocard(_u5571), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u5571, tc_HOL_Obool), _u5572))) | ( skolem137(_u5573, _u5572, _u5571) != skolem138(_u5573, _u5572, _u5571)) )).
% 12.53/12.70 cnf(fact_card__partition-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u5571, tc_HOL_Obool)), _u5572)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5571), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u5571, tc_HOL_Obool), _u5572))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u5571, tc_HOL_Obool)), skolem136(_u5573, _u5572, _u5571)), _u5572)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5573), hAPP(c_Finite__Set_Ocard(tc_fun(_u5571, tc_HOL_Obool)), _u5572)) = hAPP(c_Finite__Set_Ocard(_u5571), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u5571, tc_HOL_Obool), _u5572))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5571, tc_HOL_Obool)), skolem137(_u5573, _u5572, _u5571)), skolem138(_u5573, _u5572, _u5571)) != c_Orderings_Obot__class_Obot(tc_fun(_u5571, tc_HOL_Obool))) )).
% 12.53/12.70 cnf(fact_card__partition-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u5571, tc_HOL_Obool)), _u5572)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5571), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u5571, tc_HOL_Obool), _u5572))) | ( hAPP(c_Finite__Set_Ocard(_u5571), skolem136(_u5573, _u5572, _u5571)) != _u5573) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5573), hAPP(c_Finite__Set_Ocard(tc_fun(_u5571, tc_HOL_Obool)), _u5572)) = hAPP(c_Finite__Set_Ocard(_u5571), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u5571, tc_HOL_Obool), _u5572))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u5571, tc_HOL_Obool)), skolem137(_u5573, _u5572, _u5571)), _u5572)) )).
% 12.53/12.70 cnf(fact_card__partition-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u5571, tc_HOL_Obool)), _u5572)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5571), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u5571, tc_HOL_Obool), _u5572))) | ( hAPP(c_Finite__Set_Ocard(_u5571), skolem136(_u5573, _u5572, _u5571)) != _u5573) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5573), hAPP(c_Finite__Set_Ocard(tc_fun(_u5571, tc_HOL_Obool)), _u5572)) = hAPP(c_Finite__Set_Ocard(_u5571), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u5571, tc_HOL_Obool), _u5572))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u5571, tc_HOL_Obool)), skolem138(_u5573, _u5572, _u5571)), _u5572)) )).
% 12.53/12.70 cnf(fact_card__partition-7, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u5571, tc_HOL_Obool)), _u5572)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5571), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u5571, tc_HOL_Obool), _u5572))) | ( hAPP(c_Finite__Set_Ocard(_u5571), skolem136(_u5573, _u5572, _u5571)) != _u5573) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5573), hAPP(c_Finite__Set_Ocard(tc_fun(_u5571, tc_HOL_Obool)), _u5572)) = hAPP(c_Finite__Set_Ocard(_u5571), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u5571, tc_HOL_Obool), _u5572))) | ( skolem137(_u5573, _u5572, _u5571) != skolem138(_u5573, _u5572, _u5571)) )).
% 12.53/12.70 cnf(fact_card__partition-8, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u5571, tc_HOL_Obool)), _u5572)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5571), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u5571, tc_HOL_Obool), _u5572))) | ( hAPP(c_Finite__Set_Ocard(_u5571), skolem136(_u5573, _u5572, _u5571)) != _u5573) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5573), hAPP(c_Finite__Set_Ocard(tc_fun(_u5571, tc_HOL_Obool)), _u5572)) = hAPP(c_Finite__Set_Ocard(_u5571), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u5571, tc_HOL_Obool), _u5572))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5571, tc_HOL_Obool)), skolem137(_u5573, _u5572, _u5571)), skolem138(_u5573, _u5572, _u5571)) != c_Orderings_Obot__class_Obot(tc_fun(_u5571, tc_HOL_Obool))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_fold__image__1 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_fold__image__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u5575) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5576), _u5577)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5575, _u5576, c_Groups_Otimes__class_Otimes(_u5575)), _u5578), c_Groups_Oone__class_Oone(_u5575)), _u5577) = c_Groups_Oone__class_Oone(_u5575)) | hBOOL(hAPP(hAPP(c_member(_u5576), skolem139(_u5578, _u5577, _u5576, _u5575)), _u5577)) )).
% 12.53/12.70 cnf(fact_fold__image__1-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u5575) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5576), _u5577)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5575, _u5576, c_Groups_Otimes__class_Otimes(_u5575)), _u5578), c_Groups_Oone__class_Oone(_u5575)), _u5577) = c_Groups_Oone__class_Oone(_u5575)) | ( hAPP(_u5578, skolem139(_u5578, _u5577, _u5576, _u5575)) != c_Groups_Oone__class_Oone(_u5575)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_card_Oneutral ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_card_Oneutral-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5580), _u5581)) | ( hAPP(c_Finite__Set_Ocard(_u5580), _u5581) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u5580), skolem140(_u5581, _u5580)), _u5581)) )).
% 12.53/12.70 cnf(fact_card_Oneutral-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5580), _u5581)) | ( hAPP(c_Finite__Set_Ocard(_u5580), _u5581) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_fold__image__cong ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_fold__image__cong-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u5583) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5584), _u5585)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5583, _u5584, c_Groups_Otimes__class_Otimes(_u5583)), _u5586), _u5588), _u5585) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5583, _u5584, c_Groups_Otimes__class_Otimes(_u5583)), _u5587), _u5588), _u5585)) | hBOOL(hAPP(hAPP(c_member(_u5584), skolem141(_u5588, _u5587, _u5586, _u5585, _u5584, _u5583)), _u5585)) )).
% 12.53/12.70 cnf(fact_fold__image__cong-2, axiom, ( ~class_Groups_Oab__semigroup__mult(_u5583) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5584), _u5585)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5583, _u5584, c_Groups_Otimes__class_Otimes(_u5583)), _u5586), _u5588), _u5585) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5583, _u5584, c_Groups_Otimes__class_Otimes(_u5583)), _u5587), _u5588), _u5585)) | ( hAPP(_u5586, skolem141(_u5588, _u5587, _u5586, _u5585, _u5584, _u5583)) != hAPP(_u5587, skolem141(_u5588, _u5587, _u5586, _u5585, _u5584, _u5583))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_expand__Suc ( axiom ) converted to clauses:
% 12.53/12.70 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), _u5589))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5589) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5589)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_card__Pow ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_card__Pow-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5590), _u5591)) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u5590, tc_HOL_Obool)), hAPP(c_Set_OPow(_u5590), _u5591)) = 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(_u5590), _u5591))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_eq__number__of ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_eq__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u5592) | ~class_Int_Oring__char__0(_u5592) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5592), _u5593) != hAPP(c_Int_Onumber__class_Onumber__of(_u5592), _u5594)) | ( _u5593 = _u5594) )).
% 12.53/12.70 cnf(fact_eq__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u5592) | ~class_Int_Oring__char__0(_u5592) | ( _u5593 != _u5594) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5592), _u5593) = hAPP(c_Int_Onumber__class_Onumber__of(_u5592), _u5594)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_number__of__reorient ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_number__of__reorient-1, axiom, ( ~class_Int_Onumber(_u5595) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596) != _u5597) | ( _u5597 = hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)) )).
% 12.53/12.70 cnf(fact_number__of__reorient-2, axiom, ( ~class_Int_Onumber(_u5595) | ( _u5597 != hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596) = _u5597) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_le__number__of ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_le__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u5598) | ~class_Rings_Olinordered__idom(_u5598) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5598), hAPP(c_Int_Onumber__class_Onumber__of(_u5598), _u5599)), hAPP(c_Int_Onumber__class_Onumber__of(_u5598), _u5600))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5599), _u5600)) )).
% 12.53/12.70 cnf(fact_le__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u5598) | ~class_Rings_Olinordered__idom(_u5598) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5599), _u5600)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5598), hAPP(c_Int_Onumber__class_Onumber__of(_u5598), _u5599)), hAPP(c_Int_Onumber__class_Onumber__of(_u5598), _u5600))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_less__number__of ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_less__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u5601) | ~class_Rings_Olinordered__idom(_u5601) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5601), hAPP(c_Int_Onumber__class_Onumber__of(_u5601), _u5602)), hAPP(c_Int_Onumber__class_Onumber__of(_u5601), _u5603))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5602), _u5603)) )).
% 12.53/12.70 cnf(fact_less__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u5601) | ~class_Rings_Olinordered__idom(_u5601) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5602), _u5603)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5601), hAPP(c_Int_Onumber__class_Onumber__of(_u5601), _u5602)), hAPP(c_Int_Onumber__class_Onumber__of(_u5601), _u5603))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5604) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5604), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5604), _u5605), _u5606)), _u5607) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5604), hAPP(hAPP(c_Power_Opower__class_Opower(_u5604), _u5605), _u5607)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5604), _u5606), _u5607))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_number__of__add ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_number__of__add-1, axiom, ( ~class_Int_Onumber__ring(_u5608) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5608), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5609), _u5610)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5608), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5609)), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_add__number__of__eq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_add__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u5611) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5611), hAPP(c_Int_Onumber__class_Onumber__of(_u5611), _u5612)), hAPP(c_Int_Onumber__class_Onumber__of(_u5611), _u5613)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5611), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5612), _u5613))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_add__number__of__left ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_add__number__of__left-1, axiom, ( ~class_Int_Onumber__ring(_u5614) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5614), hAPP(c_Int_Onumber__class_Onumber__of(_u5614), _u5615)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5614), hAPP(c_Int_Onumber__class_Onumber__of(_u5614), _u5616)), _u5617)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5614), hAPP(c_Int_Onumber__class_Onumber__of(_u5614), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5615), _u5616))), _u5617)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_number__of__mult ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_number__of__mult-1, axiom, ( ~class_Int_Onumber__ring(_u5618) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5618), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5619), _u5620)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5618), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5619)), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_arith__simps_I32_J ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_arith__simps_I32_J-1, axiom, ( ~class_Int_Onumber__ring(_u5621) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5623)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5621), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5622), _u5623))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_mult__number__of__left ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_mult__number__of__left-1, axiom, ( ~class_Int_Onumber__ring(_u5624) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5624), hAPP(c_Int_Onumber__class_Onumber__of(_u5624), _u5625)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5624), hAPP(c_Int_Onumber__class_Onumber__of(_u5624), _u5626)), _u5627)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5624), hAPP(c_Int_Onumber__class_Onumber__of(_u5624), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5625), _u5626))), _u5627)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_diff__number__of__eq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_diff__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u5628) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5628), hAPP(c_Int_Onumber__class_Onumber__of(_u5628), _u5629)), hAPP(c_Int_Onumber__class_Onumber__of(_u5628), _u5630)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5628), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5629), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5630)))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_number__of__diff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_number__of__diff-1, axiom, ( ~class_Int_Onumber__ring(_u5631) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5631), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5632), _u5633)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5631), hAPP(c_Int_Onumber__class_Onumber__of(_u5631), _u5632)), hAPP(c_Int_Onumber__class_Onumber__of(_u5631), _u5633))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_number__of__minus ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_number__of__minus-1, axiom, ( ~class_Int_Onumber__ring(_u5634) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5634), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5635)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5634), hAPP(c_Int_Onumber__class_Onumber__of(_u5634), _u5635))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_arith__simps_I30_J ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_arith__simps_I30_J-1, axiom, ( ~class_Int_Onumber__ring(_u5636) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5636), hAPP(c_Int_Onumber__class_Onumber__of(_u5636), _u5637)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5636), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5637))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5638) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5638), hAPP(hAPP(c_Power_Opower__class_Opower(_u5638), _u5639), _u5640)), _u5641) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5638), _u5639), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5640), _u5641))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5642) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5642), _u5643), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u5643) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_le__number__of__eq__not__less ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_le__number__of__eq__not__less-1, axiom, ( ~class_Int_Onumber(_u5644) | ~class_Orderings_Olinorder(_u5644) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5644), hAPP(c_Int_Onumber__class_Onumber__of(_u5644), _u5645)), hAPP(c_Int_Onumber__class_Onumber__of(_u5644), _u5646))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5644), hAPP(c_Int_Onumber__class_Onumber__of(_u5644), _u5646)), hAPP(c_Int_Onumber__class_Onumber__of(_u5644), _u5645))) )).
% 12.53/12.70 cnf(fact_le__number__of__eq__not__less-2, axiom, ( ~class_Int_Onumber(_u5644) | ~class_Orderings_Olinorder(_u5644) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5644), hAPP(c_Int_Onumber__class_Onumber__of(_u5644), _u5646)), hAPP(c_Int_Onumber__class_Onumber__of(_u5644), _u5645))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5644), hAPP(c_Int_Onumber__class_Onumber__of(_u5644), _u5645)), hAPP(c_Int_Onumber__class_Onumber__of(_u5644), _u5646))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_left__distrib__number__of ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_left__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u5647) | ~class_Rings_Osemiring(_u5647) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5647), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5647), _u5648), _u5649)), hAPP(c_Int_Onumber__class_Onumber__of(_u5647), _u5650)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5647), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5647), _u5648), hAPP(c_Int_Onumber__class_Onumber__of(_u5647), _u5650))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5647), _u5649), hAPP(c_Int_Onumber__class_Onumber__of(_u5647), _u5650)))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_right__distrib__number__of ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_right__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u5651) | ~class_Rings_Osemiring(_u5651) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5651), hAPP(c_Int_Onumber__class_Onumber__of(_u5651), _u5652)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5651), _u5653), _u5654)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5651), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5651), hAPP(c_Int_Onumber__class_Onumber__of(_u5651), _u5652)), _u5653)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5651), hAPP(c_Int_Onumber__class_Onumber__of(_u5651), _u5652)), _u5654))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5655) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5655), _u5656), hAPP(c_Nat_OSuc, _u5657)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5655), _u5656), hAPP(hAPP(c_Power_Opower__class_Opower(_u5655), _u5656), _u5657))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5658) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5658), _u5659), hAPP(hAPP(c_Power_Opower__class_Opower(_u5658), _u5659), _u5660)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5658), _u5659), hAPP(c_Nat_OSuc, _u5660))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5661) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5661), hAPP(hAPP(c_Power_Opower__class_Opower(_u5661), _u5662), _u5663)), _u5662) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5661), _u5662), hAPP(c_Nat_OSuc, _u5663))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_add__number__of__diff1 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_add__number__of__diff1-1, axiom, ( ~class_Int_Onumber__ring(_u5664) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5664), hAPP(c_Int_Onumber__class_Onumber__of(_u5664), _u5665)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5664), hAPP(c_Int_Onumber__class_Onumber__of(_u5664), _u5666)), _u5667)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5664), hAPP(c_Int_Onumber__class_Onumber__of(_u5664), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5665), _u5666))), _u5667)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_add__number__of__diff2 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_add__number__of__diff2-1, axiom, ( ~class_Int_Onumber__ring(_u5668) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5668), hAPP(c_Int_Onumber__class_Onumber__of(_u5668), _u5669)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5668), _u5670), hAPP(c_Int_Onumber__class_Onumber__of(_u5668), _u5671))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5668), hAPP(c_Int_Onumber__class_Onumber__of(_u5668), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5669), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5671)))), _u5670)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_right__diff__distrib__number__of ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_right__diff__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u5672) | ~class_Rings_Oring(_u5672) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5672), hAPP(c_Int_Onumber__class_Onumber__of(_u5672), _u5673)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5672), _u5674), _u5675)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5672), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5672), hAPP(c_Int_Onumber__class_Onumber__of(_u5672), _u5673)), _u5674)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5672), hAPP(c_Int_Onumber__class_Onumber__of(_u5672), _u5673)), _u5675))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_left__diff__distrib__number__of ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_left__diff__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u5676) | ~class_Rings_Oring(_u5676) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5676), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5676), _u5677), _u5678)), hAPP(c_Int_Onumber__class_Onumber__of(_u5676), _u5679)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5676), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5676), _u5677), hAPP(c_Int_Onumber__class_Onumber__of(_u5676), _u5679))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5676), _u5678), hAPP(c_Int_Onumber__class_Onumber__of(_u5676), _u5679)))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5680) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5680), _u5681), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u5680)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5682) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5682), hAPP(hAPP(c_Power_Opower__class_Opower(_u5682), _u5683), _u5684)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5682), _u5683), _u5685)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5682), _u5683), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5684), _u5685))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_minus__number__of__mult ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_minus__number__of__mult-1, axiom, ( ~class_Int_Onumber__ring(_u5686) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5686), hAPP(c_Groups_Ouminus__class_Ouminus(_u5686), hAPP(c_Int_Onumber__class_Onumber__of(_u5686), _u5687))), _u5688) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5686), hAPP(c_Int_Onumber__class_Onumber__of(_u5686), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5687))), _u5688)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_Ints__power ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_Ints__power-1, axiom, ( ~class_Rings_Oring__1(_u5689) | ~hBOOL(hAPP(hAPP(c_member(_u5689), _u5690), c_Int_Oring__1__class_OInts(_u5689))) | hBOOL(hAPP(hAPP(c_member(_u5689), hAPP(hAPP(c_Power_Opower__class_Opower(_u5689), _u5690), _u5691)), c_Int_Oring__1__class_OInts(_u5689))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_Ints__number__of ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_Ints__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u5692) | hBOOL(hAPP(hAPP(c_member(_u5692), hAPP(c_Int_Onumber__class_Onumber__of(_u5692), _u5693)), c_Int_Oring__1__class_OInts(_u5692))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_eq__divide__eq__number__of1 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_eq__divide__eq__number__of1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5694) | ~class_Int_Onumber(_u5694) | ( _u5695 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5694), _u5696), hAPP(c_Int_Onumber__class_Onumber__of(_u5694), _u5697))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5694), _u5697) = c_Groups_Ozero__class_Ozero(_u5694)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5694), _u5695), hAPP(c_Int_Onumber__class_Onumber__of(_u5694), _u5697)) = _u5696) )).
% 12.53/12.70 cnf(fact_eq__divide__eq__number__of1-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5694) | ~class_Int_Onumber(_u5694) | ( _u5695 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5694), _u5696), hAPP(c_Int_Onumber__class_Onumber__of(_u5694), _u5697))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5694), _u5697) != c_Groups_Ozero__class_Ozero(_u5694)) | ( _u5695 = c_Groups_Ozero__class_Ozero(_u5694)) )).
% 12.53/12.70 cnf(fact_eq__divide__eq__number__of1-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5694) | ~class_Int_Onumber(_u5694) | ( _u5695 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5694), _u5696), hAPP(c_Int_Onumber__class_Onumber__of(_u5694), _u5697))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5694), _u5697) != c_Groups_Ozero__class_Ozero(_u5694)) | ( _u5695 != c_Groups_Ozero__class_Ozero(_u5694)) )).
% 12.53/12.70 cnf(fact_eq__divide__eq__number__of1-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5694) | ~class_Int_Onumber(_u5694) | ( _u5695 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5694), _u5696), hAPP(c_Int_Onumber__class_Onumber__of(_u5694), _u5697))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5694), _u5695), hAPP(c_Int_Onumber__class_Onumber__of(_u5694), _u5697)) != _u5696) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5694), _u5697) = c_Groups_Ozero__class_Ozero(_u5694)) )).
% 12.53/12.70 cnf(fact_eq__divide__eq__number__of1-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5694) | ~class_Int_Onumber(_u5694) | ( _u5695 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5694), _u5696), hAPP(c_Int_Onumber__class_Onumber__of(_u5694), _u5697))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5694), _u5695), hAPP(c_Int_Onumber__class_Onumber__of(_u5694), _u5697)) != _u5696) | ( _u5695 != c_Groups_Ozero__class_Ozero(_u5694)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_eq__divide__eq__number__of ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_eq__divide__eq__number__of-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5698) | ~class_Int_Onumber(_u5698) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5698), _u5699) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5698), _u5700), _u5701)) | ( _u5701 = c_Groups_Ozero__class_Ozero(_u5698)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5698), hAPP(c_Int_Onumber__class_Onumber__of(_u5698), _u5699)), _u5701) = _u5700) )).
% 12.53/12.70 cnf(fact_eq__divide__eq__number__of-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5698) | ~class_Int_Onumber(_u5698) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5698), _u5699) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5698), _u5700), _u5701)) | ( _u5701 != c_Groups_Ozero__class_Ozero(_u5698)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5698), _u5699) = c_Groups_Ozero__class_Ozero(_u5698)) )).
% 12.53/12.70 cnf(fact_eq__divide__eq__number__of-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5698) | ~class_Int_Onumber(_u5698) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5698), _u5699) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5698), _u5700), _u5701)) | ( _u5701 != c_Groups_Ozero__class_Ozero(_u5698)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5698), _u5699) != c_Groups_Ozero__class_Ozero(_u5698)) )).
% 12.53/12.70 cnf(fact_eq__divide__eq__number__of-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5698) | ~class_Int_Onumber(_u5698) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5698), _u5699) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5698), _u5700), _u5701)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5698), hAPP(c_Int_Onumber__class_Onumber__of(_u5698), _u5699)), _u5701) != _u5700) | ( _u5701 = c_Groups_Ozero__class_Ozero(_u5698)) )).
% 12.53/12.70 cnf(fact_eq__divide__eq__number__of-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5698) | ~class_Int_Onumber(_u5698) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5698), _u5699) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5698), _u5700), _u5701)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5698), hAPP(c_Int_Onumber__class_Onumber__of(_u5698), _u5699)), _u5701) != _u5700) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5698), _u5699) != c_Groups_Ozero__class_Ozero(_u5698)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__eq__eq__number__of ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__eq__eq__number__of-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5702) | ~class_Int_Onumber(_u5702) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5702), _u5703), _u5704) != hAPP(c_Int_Onumber__class_Onumber__of(_u5702), _u5705)) | ( _u5704 = c_Groups_Ozero__class_Ozero(_u5702)) | ( _u5703 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5702), hAPP(c_Int_Onumber__class_Onumber__of(_u5702), _u5705)), _u5704)) )).
% 12.53/12.70 cnf(fact_divide__eq__eq__number__of-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5702) | ~class_Int_Onumber(_u5702) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5702), _u5703), _u5704) != hAPP(c_Int_Onumber__class_Onumber__of(_u5702), _u5705)) | ( _u5704 != c_Groups_Ozero__class_Ozero(_u5702)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5702), _u5705) = c_Groups_Ozero__class_Ozero(_u5702)) )).
% 12.53/12.70 cnf(fact_divide__eq__eq__number__of-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5702) | ~class_Int_Onumber(_u5702) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5702), _u5703), _u5704) = hAPP(c_Int_Onumber__class_Onumber__of(_u5702), _u5705)) | ( _u5704 != c_Groups_Ozero__class_Ozero(_u5702)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5702), _u5705) != c_Groups_Ozero__class_Ozero(_u5702)) )).
% 12.53/12.70 cnf(fact_divide__eq__eq__number__of-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5702) | ~class_Int_Onumber(_u5702) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5702), _u5703), _u5704) = hAPP(c_Int_Onumber__class_Onumber__of(_u5702), _u5705)) | ( _u5703 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5702), hAPP(c_Int_Onumber__class_Onumber__of(_u5702), _u5705)), _u5704)) | ( _u5704 = c_Groups_Ozero__class_Ozero(_u5702)) )).
% 12.53/12.70 cnf(fact_divide__eq__eq__number__of-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5702) | ~class_Int_Onumber(_u5702) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5702), _u5703), _u5704) = hAPP(c_Int_Onumber__class_Onumber__of(_u5702), _u5705)) | ( _u5703 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5702), hAPP(c_Int_Onumber__class_Onumber__of(_u5702), _u5705)), _u5704)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5702), _u5705) != c_Groups_Ozero__class_Ozero(_u5702)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__eq__eq__number__of1 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__eq__eq__number__of1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5706) | ~class_Int_Onumber(_u5706) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5706), _u5707), hAPP(c_Int_Onumber__class_Onumber__of(_u5706), _u5708)) != _u5709) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5706), _u5708) = c_Groups_Ozero__class_Ozero(_u5706)) | ( _u5707 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5706), _u5709), hAPP(c_Int_Onumber__class_Onumber__of(_u5706), _u5708))) )).
% 12.53/12.70 cnf(fact_divide__eq__eq__number__of1-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5706) | ~class_Int_Onumber(_u5706) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5706), _u5707), hAPP(c_Int_Onumber__class_Onumber__of(_u5706), _u5708)) != _u5709) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5706), _u5708) != c_Groups_Ozero__class_Ozero(_u5706)) | ( _u5709 = c_Groups_Ozero__class_Ozero(_u5706)) )).
% 12.53/12.70 cnf(fact_divide__eq__eq__number__of1-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5706) | ~class_Int_Onumber(_u5706) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5706), _u5707), hAPP(c_Int_Onumber__class_Onumber__of(_u5706), _u5708)) = _u5709) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5706), _u5708) != c_Groups_Ozero__class_Ozero(_u5706)) | ( _u5709 != c_Groups_Ozero__class_Ozero(_u5706)) )).
% 12.53/12.70 cnf(fact_divide__eq__eq__number__of1-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5706) | ~class_Int_Onumber(_u5706) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5706), _u5707), hAPP(c_Int_Onumber__class_Onumber__of(_u5706), _u5708)) = _u5709) | ( _u5707 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5706), _u5709), hAPP(c_Int_Onumber__class_Onumber__of(_u5706), _u5708))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5706), _u5708) = c_Groups_Ozero__class_Ozero(_u5706)) )).
% 12.53/12.70 cnf(fact_divide__eq__eq__number__of1-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5706) | ~class_Int_Onumber(_u5706) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5706), _u5707), hAPP(c_Int_Onumber__class_Onumber__of(_u5706), _u5708)) = _u5709) | ( _u5707 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5706), _u5709), hAPP(c_Int_Onumber__class_Onumber__of(_u5706), _u5708))) | ( _u5709 != c_Groups_Ozero__class_Ozero(_u5706)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_less__divide__eq__number__of1 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_less__divide__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5710) | ~class_Int_Onumber(_u5710) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5711), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5710), _u5712), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), c_Groups_Ozero__class_Ozero(_u5710)), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5710), _u5711), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713))), _u5712)) )).
% 12.53/12.70 cnf(fact_less__divide__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5710) | ~class_Int_Onumber(_u5710) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5711), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5710), _u5712), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), c_Groups_Ozero__class_Ozero(_u5710)), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)), c_Groups_Ozero__class_Ozero(_u5710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5712), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5710), _u5711), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)))) )).
% 12.53/12.70 cnf(fact_less__divide__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5710) | ~class_Int_Onumber(_u5710) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5711), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5710), _u5712), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), c_Groups_Ozero__class_Ozero(_u5710)), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)), c_Groups_Ozero__class_Ozero(_u5710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5711), c_Groups_Ozero__class_Ozero(_u5710))) )).
% 12.53/12.70 cnf(fact_less__divide__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5710) | ~class_Int_Onumber(_u5710) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5711), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5710), _u5712), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), c_Groups_Ozero__class_Ozero(_u5710)), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)), c_Groups_Ozero__class_Ozero(_u5710))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5711), c_Groups_Ozero__class_Ozero(_u5710))) )).
% 12.53/12.70 cnf(fact_less__divide__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5710) | ~class_Int_Onumber(_u5710) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5711), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5710), _u5712), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), c_Groups_Ozero__class_Ozero(_u5710)), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5712), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5710), _u5711), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)), c_Groups_Ozero__class_Ozero(_u5710))) )).
% 12.53/12.70 cnf(fact_less__divide__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5710) | ~class_Int_Onumber(_u5710) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5711), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5710), _u5712), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), c_Groups_Ozero__class_Ozero(_u5710)), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5712), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5710), _u5711), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5711), c_Groups_Ozero__class_Ozero(_u5710))) )).
% 12.53/12.70 cnf(fact_less__divide__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5710) | ~class_Int_Onumber(_u5710) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5711), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5710), _u5712), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5710), _u5711), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713))), _u5712)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), c_Groups_Ozero__class_Ozero(_u5710)), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713))) )).
% 12.53/12.70 cnf(fact_less__divide__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5710) | ~class_Int_Onumber(_u5710) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5711), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5710), _u5712), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5710), _u5711), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713))), _u5712)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)), c_Groups_Ozero__class_Ozero(_u5710))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5711), c_Groups_Ozero__class_Ozero(_u5710))) )).
% 12.53/12.70 cnf(fact_less__divide__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5710) | ~class_Int_Onumber(_u5710) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5711), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5710), _u5712), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5710), _u5711), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713))), _u5712)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5712), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5710), _u5711), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)), c_Groups_Ozero__class_Ozero(_u5710))) )).
% 12.53/12.70 cnf(fact_less__divide__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5710) | ~class_Int_Onumber(_u5710) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5711), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5710), _u5712), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5710), _u5711), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713))), _u5712)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5712), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5710), _u5711), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5711), c_Groups_Ozero__class_Ozero(_u5710))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_less__divide__eq__number__of ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_less__divide__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5714) | ~class_Int_Onumber(_u5714) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5714), _u5716), _u5717))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), c_Groups_Ozero__class_Ozero(_u5714)), _u5717)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), _u5717)), _u5716)) )).
% 12.53/12.70 cnf(fact_less__divide__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5714) | ~class_Int_Onumber(_u5714) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5714), _u5716), _u5717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), c_Groups_Ozero__class_Ozero(_u5714)), _u5717)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), _u5717), c_Groups_Ozero__class_Ozero(_u5714))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), _u5716), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), _u5717))) )).
% 12.53/12.70 cnf(fact_less__divide__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5714) | ~class_Int_Onumber(_u5714) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5714), _u5716), _u5717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), c_Groups_Ozero__class_Ozero(_u5714)), _u5717)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), _u5717), c_Groups_Ozero__class_Ozero(_u5714))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), c_Groups_Ozero__class_Ozero(_u5714))) )).
% 12.53/12.70 cnf(fact_less__divide__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5714) | ~class_Int_Onumber(_u5714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5714), _u5716), _u5717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), c_Groups_Ozero__class_Ozero(_u5714)), _u5717)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), _u5717), c_Groups_Ozero__class_Ozero(_u5714))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), c_Groups_Ozero__class_Ozero(_u5714))) )).
% 12.53/12.70 cnf(fact_less__divide__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5714) | ~class_Int_Onumber(_u5714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5714), _u5716), _u5717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), c_Groups_Ozero__class_Ozero(_u5714)), _u5717)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), _u5716), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), _u5717))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), _u5717), c_Groups_Ozero__class_Ozero(_u5714))) )).
% 12.53/12.70 cnf(fact_less__divide__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5714) | ~class_Int_Onumber(_u5714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5714), _u5716), _u5717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), c_Groups_Ozero__class_Ozero(_u5714)), _u5717)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), _u5716), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), _u5717))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), c_Groups_Ozero__class_Ozero(_u5714))) )).
% 12.53/12.70 cnf(fact_less__divide__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5714) | ~class_Int_Onumber(_u5714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5714), _u5716), _u5717))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), _u5717)), _u5716)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), c_Groups_Ozero__class_Ozero(_u5714)), _u5717)) )).
% 12.53/12.70 cnf(fact_less__divide__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5714) | ~class_Int_Onumber(_u5714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5714), _u5716), _u5717))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), _u5717)), _u5716)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), _u5717), c_Groups_Ozero__class_Ozero(_u5714))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), c_Groups_Ozero__class_Ozero(_u5714))) )).
% 12.53/12.70 cnf(fact_less__divide__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5714) | ~class_Int_Onumber(_u5714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5714), _u5716), _u5717))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), _u5717)), _u5716)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), _u5716), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), _u5717))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), _u5717), c_Groups_Ozero__class_Ozero(_u5714))) )).
% 12.53/12.70 cnf(fact_less__divide__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5714) | ~class_Int_Onumber(_u5714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5714), _u5716), _u5717))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), _u5717)), _u5716)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), _u5716), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), _u5717))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), c_Groups_Ozero__class_Ozero(_u5714))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__less__eq__number__of ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__less__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5718) | ~class_Int_Onumber(_u5718) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5718), _u5719), _u5720)), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), c_Groups_Ozero__class_Ozero(_u5718)), _u5720)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), _u5719), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5718), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721)), _u5720))) )).
% 12.53/12.70 cnf(fact_divide__less__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5718) | ~class_Int_Onumber(_u5718) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5718), _u5719), _u5720)), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), c_Groups_Ozero__class_Ozero(_u5718)), _u5720)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), _u5720), c_Groups_Ozero__class_Ozero(_u5718))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5718), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721)), _u5720)), _u5719)) )).
% 12.53/12.70 cnf(fact_divide__less__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5718) | ~class_Int_Onumber(_u5718) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5718), _u5719), _u5720)), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), c_Groups_Ozero__class_Ozero(_u5718)), _u5720)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), _u5720), c_Groups_Ozero__class_Ozero(_u5718))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), c_Groups_Ozero__class_Ozero(_u5718)), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721))) )).
% 12.53/12.70 cnf(fact_divide__less__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5718) | ~class_Int_Onumber(_u5718) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5718), _u5719), _u5720)), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), c_Groups_Ozero__class_Ozero(_u5718)), _u5720)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), _u5720), c_Groups_Ozero__class_Ozero(_u5718))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), c_Groups_Ozero__class_Ozero(_u5718)), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721))) )).
% 12.53/12.70 cnf(fact_divide__less__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5718) | ~class_Int_Onumber(_u5718) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5718), _u5719), _u5720)), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), c_Groups_Ozero__class_Ozero(_u5718)), _u5720)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5718), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721)), _u5720)), _u5719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), _u5720), c_Groups_Ozero__class_Ozero(_u5718))) )).
% 12.53/12.70 cnf(fact_divide__less__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5718) | ~class_Int_Onumber(_u5718) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5718), _u5719), _u5720)), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), c_Groups_Ozero__class_Ozero(_u5718)), _u5720)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5718), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721)), _u5720)), _u5719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), c_Groups_Ozero__class_Ozero(_u5718)), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721))) )).
% 12.53/12.70 cnf(fact_divide__less__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5718) | ~class_Int_Onumber(_u5718) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5718), _u5719), _u5720)), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), _u5719), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5718), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721)), _u5720))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), c_Groups_Ozero__class_Ozero(_u5718)), _u5720)) )).
% 12.53/12.70 cnf(fact_divide__less__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5718) | ~class_Int_Onumber(_u5718) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5718), _u5719), _u5720)), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), _u5719), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5718), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721)), _u5720))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), _u5720), c_Groups_Ozero__class_Ozero(_u5718))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), c_Groups_Ozero__class_Ozero(_u5718)), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721))) )).
% 12.53/12.70 cnf(fact_divide__less__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5718) | ~class_Int_Onumber(_u5718) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5718), _u5719), _u5720)), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), _u5719), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5718), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721)), _u5720))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5718), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721)), _u5720)), _u5719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), _u5720), c_Groups_Ozero__class_Ozero(_u5718))) )).
% 12.53/12.70 cnf(fact_divide__less__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5718) | ~class_Int_Onumber(_u5718) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5718), _u5719), _u5720)), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), _u5719), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5718), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721)), _u5720))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5718), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721)), _u5720)), _u5719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), c_Groups_Ozero__class_Ozero(_u5718)), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__less__eq__number__of1 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__less__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5722) | ~class_Int_Onumber(_u5722) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5722), _u5723), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))), _u5725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), c_Groups_Ozero__class_Ozero(_u5722)), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), _u5723), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5722), _u5725), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724)))) )).
% 12.53/12.70 cnf(fact_divide__less__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5722) | ~class_Int_Onumber(_u5722) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5722), _u5723), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))), _u5725)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), c_Groups_Ozero__class_Ozero(_u5722)), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724)), c_Groups_Ozero__class_Ozero(_u5722))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5722), _u5725), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))), _u5723)) )).
% 12.53/12.70 cnf(fact_divide__less__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5722) | ~class_Int_Onumber(_u5722) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5722), _u5723), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))), _u5725)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), c_Groups_Ozero__class_Ozero(_u5722)), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724)), c_Groups_Ozero__class_Ozero(_u5722))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), c_Groups_Ozero__class_Ozero(_u5722)), _u5725)) )).
% 12.53/12.70 cnf(fact_divide__less__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5722) | ~class_Int_Onumber(_u5722) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5722), _u5723), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))), _u5725)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), c_Groups_Ozero__class_Ozero(_u5722)), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724)), c_Groups_Ozero__class_Ozero(_u5722))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), c_Groups_Ozero__class_Ozero(_u5722)), _u5725)) )).
% 12.53/12.70 cnf(fact_divide__less__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5722) | ~class_Int_Onumber(_u5722) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5722), _u5723), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))), _u5725)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), c_Groups_Ozero__class_Ozero(_u5722)), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5722), _u5725), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))), _u5723)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724)), c_Groups_Ozero__class_Ozero(_u5722))) )).
% 12.53/12.70 cnf(fact_divide__less__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5722) | ~class_Int_Onumber(_u5722) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5722), _u5723), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))), _u5725)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), c_Groups_Ozero__class_Ozero(_u5722)), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5722), _u5725), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))), _u5723)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), c_Groups_Ozero__class_Ozero(_u5722)), _u5725)) )).
% 12.53/12.70 cnf(fact_divide__less__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5722) | ~class_Int_Onumber(_u5722) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5722), _u5723), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))), _u5725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), _u5723), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5722), _u5725), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), c_Groups_Ozero__class_Ozero(_u5722)), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))) )).
% 12.53/12.70 cnf(fact_divide__less__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5722) | ~class_Int_Onumber(_u5722) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5722), _u5723), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))), _u5725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), _u5723), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5722), _u5725), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724)), c_Groups_Ozero__class_Ozero(_u5722))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), c_Groups_Ozero__class_Ozero(_u5722)), _u5725)) )).
% 12.53/12.70 cnf(fact_divide__less__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5722) | ~class_Int_Onumber(_u5722) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5722), _u5723), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))), _u5725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), _u5723), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5722), _u5725), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5722), _u5725), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))), _u5723)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724)), c_Groups_Ozero__class_Ozero(_u5722))) )).
% 12.53/12.70 cnf(fact_divide__less__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5722) | ~class_Int_Onumber(_u5722) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5722), _u5723), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))), _u5725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), _u5723), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5722), _u5725), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5722), _u5725), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))), _u5723)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), c_Groups_Ozero__class_Ozero(_u5722)), _u5725)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__eq__if ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__eq__if-1, axiom, ( ( _u5728 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u5730), _u5728) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.53/12.70 cnf(fact_power__eq__if-2, axiom, ( ( _u5729 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u5731), _u5729) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5731), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u5731), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5729), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__le__eq__number__of1 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__le__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5732) | ~class_Int_Onumber(_u5732) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5732), _u5733), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))), _u5735)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5732), c_Groups_Ozero__class_Ozero(_u5732)), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), _u5733), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5732), _u5735), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734)))) )).
% 12.53/12.70 cnf(fact_divide__le__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5732) | ~class_Int_Onumber(_u5732) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5732), _u5733), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))), _u5735)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5732), c_Groups_Ozero__class_Ozero(_u5732)), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5732), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734)), c_Groups_Ozero__class_Ozero(_u5732))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5732), _u5735), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))), _u5733)) )).
% 12.53/12.70 cnf(fact_divide__le__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5732) | ~class_Int_Onumber(_u5732) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5732), _u5733), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))), _u5735)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5732), c_Groups_Ozero__class_Ozero(_u5732)), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5732), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734)), c_Groups_Ozero__class_Ozero(_u5732))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), c_Groups_Ozero__class_Ozero(_u5732)), _u5735)) )).
% 12.53/12.70 cnf(fact_divide__le__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5732) | ~class_Int_Onumber(_u5732) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5732), _u5733), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))), _u5735)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5732), c_Groups_Ozero__class_Ozero(_u5732)), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5732), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734)), c_Groups_Ozero__class_Ozero(_u5732))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), c_Groups_Ozero__class_Ozero(_u5732)), _u5735)) )).
% 12.53/12.70 cnf(fact_divide__le__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5732) | ~class_Int_Onumber(_u5732) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5732), _u5733), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))), _u5735)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5732), c_Groups_Ozero__class_Ozero(_u5732)), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5732), _u5735), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))), _u5733)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5732), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734)), c_Groups_Ozero__class_Ozero(_u5732))) )).
% 12.53/12.70 cnf(fact_divide__le__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5732) | ~class_Int_Onumber(_u5732) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5732), _u5733), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))), _u5735)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5732), c_Groups_Ozero__class_Ozero(_u5732)), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5732), _u5735), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))), _u5733)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), c_Groups_Ozero__class_Ozero(_u5732)), _u5735)) )).
% 12.53/12.70 cnf(fact_divide__le__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5732) | ~class_Int_Onumber(_u5732) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5732), _u5733), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))), _u5735)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), _u5733), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5732), _u5735), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5732), c_Groups_Ozero__class_Ozero(_u5732)), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))) )).
% 12.53/12.70 cnf(fact_divide__le__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5732) | ~class_Int_Onumber(_u5732) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5732), _u5733), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))), _u5735)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), _u5733), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5732), _u5735), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5732), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734)), c_Groups_Ozero__class_Ozero(_u5732))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), c_Groups_Ozero__class_Ozero(_u5732)), _u5735)) )).
% 12.53/12.70 cnf(fact_divide__le__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5732) | ~class_Int_Onumber(_u5732) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5732), _u5733), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))), _u5735)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), _u5733), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5732), _u5735), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5732), _u5735), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))), _u5733)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5732), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734)), c_Groups_Ozero__class_Ozero(_u5732))) )).
% 12.53/12.70 cnf(fact_divide__le__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5732) | ~class_Int_Onumber(_u5732) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5732), _u5733), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))), _u5735)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), _u5733), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5732), _u5735), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5732), _u5735), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))), _u5733)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), c_Groups_Ozero__class_Ozero(_u5732)), _u5735)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_divide__le__eq__number__of ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_divide__le__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5736) | ~class_Int_Onumber(_u5736) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5736), _u5737), _u5738)), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5736), c_Groups_Ozero__class_Ozero(_u5736)), _u5738)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), _u5737), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5736), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739)), _u5738))) )).
% 12.53/12.70 cnf(fact_divide__le__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5736) | ~class_Int_Onumber(_u5736) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5736), _u5737), _u5738)), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5736), c_Groups_Ozero__class_Ozero(_u5736)), _u5738)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5736), _u5738), c_Groups_Ozero__class_Ozero(_u5736))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5736), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739)), _u5738)), _u5737)) )).
% 12.53/12.70 cnf(fact_divide__le__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5736) | ~class_Int_Onumber(_u5736) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5736), _u5737), _u5738)), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5736), c_Groups_Ozero__class_Ozero(_u5736)), _u5738)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5736), _u5738), c_Groups_Ozero__class_Ozero(_u5736))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), c_Groups_Ozero__class_Ozero(_u5736)), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739))) )).
% 12.53/12.70 cnf(fact_divide__le__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5736) | ~class_Int_Onumber(_u5736) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5736), _u5737), _u5738)), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5736), c_Groups_Ozero__class_Ozero(_u5736)), _u5738)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5736), _u5738), c_Groups_Ozero__class_Ozero(_u5736))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), c_Groups_Ozero__class_Ozero(_u5736)), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739))) )).
% 12.53/12.70 cnf(fact_divide__le__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5736) | ~class_Int_Onumber(_u5736) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5736), _u5737), _u5738)), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5736), c_Groups_Ozero__class_Ozero(_u5736)), _u5738)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5736), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739)), _u5738)), _u5737)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5736), _u5738), c_Groups_Ozero__class_Ozero(_u5736))) )).
% 12.53/12.70 cnf(fact_divide__le__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5736) | ~class_Int_Onumber(_u5736) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5736), _u5737), _u5738)), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5736), c_Groups_Ozero__class_Ozero(_u5736)), _u5738)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5736), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739)), _u5738)), _u5737)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), c_Groups_Ozero__class_Ozero(_u5736)), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739))) )).
% 12.53/12.70 cnf(fact_divide__le__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5736) | ~class_Int_Onumber(_u5736) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5736), _u5737), _u5738)), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), _u5737), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5736), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739)), _u5738))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5736), c_Groups_Ozero__class_Ozero(_u5736)), _u5738)) )).
% 12.53/12.70 cnf(fact_divide__le__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5736) | ~class_Int_Onumber(_u5736) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5736), _u5737), _u5738)), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), _u5737), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5736), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739)), _u5738))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5736), _u5738), c_Groups_Ozero__class_Ozero(_u5736))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), c_Groups_Ozero__class_Ozero(_u5736)), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739))) )).
% 12.53/12.70 cnf(fact_divide__le__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5736) | ~class_Int_Onumber(_u5736) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5736), _u5737), _u5738)), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), _u5737), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5736), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739)), _u5738))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5736), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739)), _u5738)), _u5737)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5736), _u5738), c_Groups_Ozero__class_Ozero(_u5736))) )).
% 12.53/12.70 cnf(fact_divide__le__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5736) | ~class_Int_Onumber(_u5736) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5736), _u5737), _u5738)), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), _u5737), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5736), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739)), _u5738))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5736), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739)), _u5738)), _u5737)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), c_Groups_Ozero__class_Ozero(_u5736)), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_le__divide__eq__number__of ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_le__divide__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5740) | ~class_Int_Onumber(_u5740) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5740), _u5742), _u5743))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5740), c_Groups_Ozero__class_Ozero(_u5740)), _u5743)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), _u5743)), _u5742)) )).
% 12.53/12.70 cnf(fact_le__divide__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5740) | ~class_Int_Onumber(_u5740) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5740), _u5742), _u5743))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5740), c_Groups_Ozero__class_Ozero(_u5740)), _u5743)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5740), _u5743), c_Groups_Ozero__class_Ozero(_u5740))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), _u5742), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), _u5743))) )).
% 12.53/12.70 cnf(fact_le__divide__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5740) | ~class_Int_Onumber(_u5740) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5740), _u5742), _u5743))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5740), c_Groups_Ozero__class_Ozero(_u5740)), _u5743)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5740), _u5743), c_Groups_Ozero__class_Ozero(_u5740))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), c_Groups_Ozero__class_Ozero(_u5740))) )).
% 12.53/12.70 cnf(fact_le__divide__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5740) | ~class_Int_Onumber(_u5740) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5740), _u5742), _u5743))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5740), c_Groups_Ozero__class_Ozero(_u5740)), _u5743)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5740), _u5743), c_Groups_Ozero__class_Ozero(_u5740))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), c_Groups_Ozero__class_Ozero(_u5740))) )).
% 12.53/12.70 cnf(fact_le__divide__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5740) | ~class_Int_Onumber(_u5740) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5740), _u5742), _u5743))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5740), c_Groups_Ozero__class_Ozero(_u5740)), _u5743)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), _u5742), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), _u5743))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5740), _u5743), c_Groups_Ozero__class_Ozero(_u5740))) )).
% 12.53/12.70 cnf(fact_le__divide__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5740) | ~class_Int_Onumber(_u5740) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5740), _u5742), _u5743))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5740), c_Groups_Ozero__class_Ozero(_u5740)), _u5743)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), _u5742), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), _u5743))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), c_Groups_Ozero__class_Ozero(_u5740))) )).
% 12.53/12.70 cnf(fact_le__divide__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5740) | ~class_Int_Onumber(_u5740) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5740), _u5742), _u5743))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), _u5743)), _u5742)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5740), c_Groups_Ozero__class_Ozero(_u5740)), _u5743)) )).
% 12.53/12.70 cnf(fact_le__divide__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5740) | ~class_Int_Onumber(_u5740) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5740), _u5742), _u5743))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), _u5743)), _u5742)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5740), _u5743), c_Groups_Ozero__class_Ozero(_u5740))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), c_Groups_Ozero__class_Ozero(_u5740))) )).
% 12.53/12.70 cnf(fact_le__divide__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5740) | ~class_Int_Onumber(_u5740) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5740), _u5742), _u5743))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), _u5743)), _u5742)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), _u5742), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), _u5743))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5740), _u5743), c_Groups_Ozero__class_Ozero(_u5740))) )).
% 12.53/12.70 cnf(fact_le__divide__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5740) | ~class_Int_Onumber(_u5740) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5740), _u5742), _u5743))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), _u5743)), _u5742)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), _u5742), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), _u5743))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), c_Groups_Ozero__class_Ozero(_u5740))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_le__divide__eq__number__of1 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_le__divide__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5744) | ~class_Int_Onumber(_u5744) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5745), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5744), _u5746), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5744), c_Groups_Ozero__class_Ozero(_u5744)), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5744), _u5745), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747))), _u5746)) )).
% 12.53/12.70 cnf(fact_le__divide__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5744) | ~class_Int_Onumber(_u5744) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5745), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5744), _u5746), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5744), c_Groups_Ozero__class_Ozero(_u5744)), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5744), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)), c_Groups_Ozero__class_Ozero(_u5744))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5746), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5744), _u5745), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)))) )).
% 12.53/12.70 cnf(fact_le__divide__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5744) | ~class_Int_Onumber(_u5744) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5745), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5744), _u5746), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5744), c_Groups_Ozero__class_Ozero(_u5744)), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5744), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)), c_Groups_Ozero__class_Ozero(_u5744))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5745), c_Groups_Ozero__class_Ozero(_u5744))) )).
% 12.53/12.70 cnf(fact_le__divide__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5744) | ~class_Int_Onumber(_u5744) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5745), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5744), _u5746), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5744), c_Groups_Ozero__class_Ozero(_u5744)), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5744), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)), c_Groups_Ozero__class_Ozero(_u5744))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5745), c_Groups_Ozero__class_Ozero(_u5744))) )).
% 12.53/12.70 cnf(fact_le__divide__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5744) | ~class_Int_Onumber(_u5744) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5745), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5744), _u5746), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5744), c_Groups_Ozero__class_Ozero(_u5744)), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5746), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5744), _u5745), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5744), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)), c_Groups_Ozero__class_Ozero(_u5744))) )).
% 12.53/12.70 cnf(fact_le__divide__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5744) | ~class_Int_Onumber(_u5744) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5745), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5744), _u5746), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5744), c_Groups_Ozero__class_Ozero(_u5744)), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5746), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5744), _u5745), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5745), c_Groups_Ozero__class_Ozero(_u5744))) )).
% 12.53/12.70 cnf(fact_le__divide__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5744) | ~class_Int_Onumber(_u5744) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5745), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5744), _u5746), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5744), _u5745), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747))), _u5746)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5744), c_Groups_Ozero__class_Ozero(_u5744)), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747))) )).
% 12.53/12.70 cnf(fact_le__divide__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5744) | ~class_Int_Onumber(_u5744) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5745), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5744), _u5746), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5744), _u5745), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747))), _u5746)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5744), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)), c_Groups_Ozero__class_Ozero(_u5744))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5745), c_Groups_Ozero__class_Ozero(_u5744))) )).
% 12.53/12.70 cnf(fact_le__divide__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5744) | ~class_Int_Onumber(_u5744) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5745), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5744), _u5746), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5744), _u5745), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747))), _u5746)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5746), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5744), _u5745), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5744), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)), c_Groups_Ozero__class_Ozero(_u5744))) )).
% 12.53/12.70 cnf(fact_le__divide__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5744) | ~class_Int_Onumber(_u5744) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5745), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5744), _u5746), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5744), _u5745), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747))), _u5746)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5746), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5744), _u5745), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5745), c_Groups_Ozero__class_Ozero(_u5744))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__strict__mono ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__strict__mono-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5748) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5748), _u5749), _u5750)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5748), c_Groups_Ozero__class_Ozero(_u5748)), _u5749)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5751)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5748), hAPP(hAPP(c_Power_Opower__class_Opower(_u5748), _u5749), _u5751)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5748), _u5750), _u5751))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__diff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__diff-1, axiom, ( ~class_Fields_Ofield(_u5752) | ( _u5753 = c_Groups_Ozero__class_Ozero(_u5752)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5754), _u5755)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5752), _u5753), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5755), _u5754)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5752), hAPP(hAPP(c_Power_Opower__class_Opower(_u5752), _u5753), _u5755)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5752), _u5753), _u5754))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_one__less__power ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_one__less__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5756) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5756), c_Groups_Oone__class_Oone(_u5756)), _u5757)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5758)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5756), c_Groups_Oone__class_Oone(_u5756)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5756), _u5757), _u5758))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__le__imp__le__exp ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__le__imp__le__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5759) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5759), c_Groups_Oone__class_Oone(_u5759)), _u5760)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5759), hAPP(hAPP(c_Power_Opower__class_Opower(_u5759), _u5760), _u5761)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5759), _u5760), _u5762))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5761), _u5762)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__increasing__iff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__increasing__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5763) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5763), c_Groups_Oone__class_Oone(_u5763)), _u5764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5763), hAPP(hAPP(c_Power_Opower__class_Opower(_u5763), _u5764), _u5765)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5763), _u5764), _u5766))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5765), _u5766)) )).
% 12.53/12.70 cnf(fact_power__increasing__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u5763) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5763), c_Groups_Oone__class_Oone(_u5763)), _u5764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5765), _u5766)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5763), hAPP(hAPP(c_Power_Opower__class_Opower(_u5763), _u5764), _u5765)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5763), _u5764), _u5766))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__decreasing ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__decreasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5767) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5768), _u5769)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5767), c_Groups_Ozero__class_Ozero(_u5767)), _u5770)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5767), _u5770), c_Groups_Oone__class_Oone(_u5767))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5767), hAPP(hAPP(c_Power_Opower__class_Opower(_u5767), _u5770), _u5769)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5767), _u5770), _u5768))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_minus__numeral__code_I6_J ( axiom ) converted to clauses:
% 12.53/12.70 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), _u5771)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5772)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5771), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5772)))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_plus__numeral__code_I9_J ( axiom ) converted to clauses:
% 12.53/12.70 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), _u5773)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5774)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5773), _u5774))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_less__number__of__int__code ( axiom ) converted to clauses:
% 12.53/12.70 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), _u5777)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5779))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5777), _u5779)) )).
% 12.53/12.70 cnf(fact_less__number__of__int__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5778), _u5780)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5778)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5780))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_times__numeral__code_I5_J ( axiom ) converted to clauses:
% 12.53/12.70 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), _u5781)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5782)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5781), _u5782))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_minus__numeral__code_I5_J ( axiom ) converted to clauses:
% 12.53/12.70 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), _u5783)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5783))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_less__eq__number__of__int__code ( axiom ) converted to clauses:
% 12.53/12.70 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), _u5786)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5788))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5786), _u5788)) )).
% 12.53/12.70 cnf(fact_less__eq__number__of__int__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5787), _u5789)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5787)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5789))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_atLeastLessThanPlusOne__atLeastAtMost__int ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_atLeastLessThanPlusOne__atLeastAtMost__int-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u5790), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5791), c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u5790, _u5791)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_atLeastPlusOneLessThan__greaterThanLessThan__int ( axiom ) converted to clauses:
% 12.53/12.70 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), _u5792), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5793) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u5792, _u5793)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_atLeastPlusOneAtMost__greaterThanAtMost__int ( axiom ) converted to clauses:
% 12.53/12.70 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), _u5794), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u5795) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u5794, _u5795)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zmult__1 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zmult__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u5796) = _u5796) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zmult__1__right ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zmult__1__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5797), c_Groups_Oone__class_Oone(tc_Int_Oint)) = _u5797) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zle__add1__eq__le ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zle__add1__eq__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5800), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5802), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5800), _u5802)) )).
% 12.53/12.70 cnf(fact_zle__add1__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5801), _u5803)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5801), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5803), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_add1__zle__eq ( axiom ) converted to clauses:
% 12.53/12.70 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), _u5806), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5808)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5806), _u5808)) )).
% 12.53/12.70 cnf(fact_add1__zle__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5807), _u5809)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5807), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5809)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zless__imp__add1__zle ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zless__imp__add1__zle-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5810), _u5811)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5810), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5811)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zless__add1__eq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zless__add1__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5814), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5816), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5814), _u5816)) | ( _u5814 = _u5816) )).
% 12.53/12.70 cnf(fact_zless__add1__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5815), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5817), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5815), _u5817)) )).
% 12.53/12.70 cnf(fact_zless__add1__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5815), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5817), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ( _u5815 != _u5817) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zadd__left__mono ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zadd__left__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5818), _u5819)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5820), _u5818)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5820), _u5819))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zadd__zless__mono ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zadd__zless__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5821), _u5822)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5823), _u5824)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5821), _u5823)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5822), _u5824))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zless__le ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zless__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5827), _u5829)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5827), _u5829)) )).
% 12.53/12.70 cnf(fact_zless__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5827), _u5829)) | ( _u5827 != _u5829) )).
% 12.53/12.70 cnf(fact_zless__le-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5828), _u5830)) | ( _u5828 = _u5830) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5828), _u5830)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zle__refl ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zle__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5831), _u5831)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zle__linear ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zle__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5832), _u5833)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5833), _u5832)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zle__trans ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zle__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5834), _u5835)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5835), _u5836)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5834), _u5836)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zle__antisym ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zle__antisym-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5837), _u5838)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5838), _u5837)) | ( _u5837 = _u5838) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zminus__zminus ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zminus__zminus-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5839)) = _u5839) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zmult__zminus ( axiom ) converted to clauses:
% 12.53/12.70 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), _u5840)), _u5841) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5840), _u5841))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zmult__commute ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zmult__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5842), _u5843) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5843), _u5842)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zmult__assoc ( axiom ) converted to clauses:
% 12.53/12.70 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), _u5844), _u5845)), _u5846) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5844), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5845), _u5846))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zless__linear ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zless__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5847), _u5848)) | ( _u5847 = _u5848) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5848), _u5847)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zadd__strict__right__mono ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zadd__strict__right__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5849), _u5850)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5849), _u5851)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5850), _u5851))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zadd__commute ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zadd__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5852), _u5853) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5853), _u5852)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zadd__left__commute ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zadd__left__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5854), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5855), _u5856)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5855), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5854), _u5856))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zadd__assoc ( axiom ) converted to clauses:
% 12.53/12.70 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), _u5857), _u5858)), _u5859) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5857), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5858), _u5859))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zadd__zmult__distrib ( axiom ) converted to clauses:
% 12.53/12.70 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), _u5860), _u5861)), _u5862) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5860), _u5862)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5861), _u5862))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zadd__zmult__distrib2 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zadd__zmult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5863), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5864), _u5865)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5863), _u5864)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5863), _u5865))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zminus__zadd__distrib ( axiom ) converted to clauses:
% 12.53/12.70 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), _u5866), _u5867)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5866)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5867))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_diff__int__def__symmetric ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_diff__int__def__symmetric-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5868), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5869)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5868), _u5869)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_diff__int__def ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_diff__int__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5870), _u5871) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5870), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5871))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zdiff__zmult__distrib2 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zdiff__zmult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5872), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5873), _u5874)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5872), _u5873)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5872), _u5874))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zdiff__zmult__distrib ( axiom ) converted to clauses:
% 12.53/12.70 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), _u5875), _u5876)), _u5877) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5875), _u5877)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5876), _u5877))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_equal__int__def ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_equal__int__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u5880), _u5882)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5880), _u5882) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.70 cnf(fact_equal__int__def-2, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5881), _u5883) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u5881), _u5883)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zminus__0 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zminus__0-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zmult__zless__mono2 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zmult__zless__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5884), _u5885)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5886)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5886), _u5884)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5886), _u5885))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_less__bin__lemma ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_less__bin__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5889), _u5891)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5889), _u5891)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.70 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), _u5890), _u5892)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5890), _u5892)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zadd__0 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zadd__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5893) = _u5893) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zadd__0__right ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zadd__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5894), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u5894) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zadd__zminus__inverse2 ( axiom ) converted to clauses:
% 12.53/12.70 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), _u5895)), _u5895) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_odd__nonzero ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u5896)), _u5896) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_odd__less__0 ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u5898)), _u5898)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5898), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.70 cnf(fact_odd__less__0-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5899), 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)), _u5899)), _u5899)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_le__imp__0__less ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u5900)) | 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)), _u5900))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_int__one__le__iff__zero__less ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u5902)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5902)) )).
% 12.53/12.70 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)), _u5903)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u5903)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zle__diff1__eq ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zle__diff1__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5906), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5908), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5906), _u5908)) )).
% 12.53/12.70 cnf(fact_zle__diff1__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5907), _u5909)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5907), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5909), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_int__0__less__1 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_int__0__less__1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_pos__zmult__eq__1__iff ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u5910)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5910), _u5911) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u5910 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.53/12.70 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)), _u5910)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5910), _u5911) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u5911 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.53/12.70 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)), _u5910)) | ( _u5910 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u5911 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5910), _u5911) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zsgn__def ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zsgn__def-1, axiom, ( ( _u5913 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u5913) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.70 cnf(fact_zsgn__def-2, axiom, ( ( _u5914 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5914)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u5914) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.53/12.70 cnf(fact_zsgn__def-3, axiom, ( ( _u5914 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5914)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u5914) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zpower__zadd__distrib ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zpower__zadd__distrib-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5915), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5916), _u5917)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5915), _u5916)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5915), _u5917))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zpower__zpower ( axiom ) converted to clauses:
% 12.53/12.70 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), _u5918), _u5919)), _u5920) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5918), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5919), _u5920))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_field__power__not__zero ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_field__power__not__zero-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u5921) | ( _u5922 = c_Groups_Ozero__class_Ozero(_u5921)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5921), _u5922), _u5923) != c_Groups_Ozero__class_Ozero(_u5921)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__mult__distrib ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__mult__distrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u5924) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5924), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5924), _u5925), _u5926)), _u5927) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5924), hAPP(hAPP(c_Power_Opower__class_Opower(_u5924), _u5925), _u5927)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5924), _u5926), _u5927))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__commutes ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__commutes-1, axiom, ( ~class_Groups_Omonoid__mult(_u5928) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5928), hAPP(hAPP(c_Power_Opower__class_Opower(_u5928), _u5929), _u5930)), _u5929) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5928), _u5929), hAPP(hAPP(c_Power_Opower__class_Opower(_u5928), _u5929), _u5930))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__one ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__one-1, axiom, ( ~class_Groups_Omonoid__mult(_u5931) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5931), c_Groups_Oone__class_Oone(_u5931)), _u5932) = c_Groups_Oone__class_Oone(_u5931)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__mult ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__mult-1, axiom, ( ~class_Groups_Omonoid__mult(_u5933) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5933), _u5934), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5935), _u5936)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5933), hAPP(hAPP(c_Power_Opower__class_Opower(_u5933), _u5934), _u5935)), _u5936)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__divide ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5937) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5937), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5937), _u5938), _u5939)), _u5940) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5937), hAPP(hAPP(c_Power_Opower__class_Opower(_u5937), _u5938), _u5940)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5937), _u5939), _u5940))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__one__right ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__one__right-1, axiom, ( ~class_Groups_Omonoid__mult(_u5941) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5941), _u5942), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u5942) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zero__le__power ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zero__le__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5943) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5943), c_Groups_Ozero__class_Ozero(_u5943)), _u5944)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5943), c_Groups_Ozero__class_Ozero(_u5943)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5943), _u5944), _u5945))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__mono ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__mono-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5946) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5946), _u5947), _u5948)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5946), c_Groups_Ozero__class_Ozero(_u5946)), _u5947)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5946), hAPP(hAPP(c_Power_Opower__class_Opower(_u5946), _u5947), _u5949)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5946), _u5948), _u5949))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zero__less__power ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zero__less__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5950) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5950), c_Groups_Ozero__class_Ozero(_u5950)), _u5951)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5950), c_Groups_Ozero__class_Ozero(_u5950)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5950), _u5951), _u5952))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__eq__0__iff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__eq__0__iff-1, axiom, ( ~class_Power_Opower(_u5953) | ~class_Rings_Omult__zero(_u5953) | ~class_Rings_Ono__zero__divisors(_u5953) | ~class_Rings_Ozero__neq__one(_u5953) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5953), _u5954), _u5955) != c_Groups_Ozero__class_Ozero(_u5953)) | ( _u5954 = c_Groups_Ozero__class_Ozero(_u5953)) )).
% 12.53/12.70 cnf(fact_power__eq__0__iff-2, axiom, ( ~class_Power_Opower(_u5953) | ~class_Rings_Omult__zero(_u5953) | ~class_Rings_Ono__zero__divisors(_u5953) | ~class_Rings_Ozero__neq__one(_u5953) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5953), _u5954), _u5955) != c_Groups_Ozero__class_Ozero(_u5953)) | ( _u5955 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.70 cnf(fact_power__eq__0__iff-3, axiom, ( ~class_Power_Opower(_u5953) | ~class_Rings_Omult__zero(_u5953) | ~class_Rings_Ono__zero__divisors(_u5953) | ~class_Rings_Ozero__neq__one(_u5953) | ( _u5954 != c_Groups_Ozero__class_Ozero(_u5953)) | ( _u5955 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5953), _u5954), _u5955) = c_Groups_Ozero__class_Ozero(_u5953)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_one__le__power ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_one__le__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5956) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5956), c_Groups_Oone__class_Oone(_u5956)), _u5957)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5956), c_Groups_Oone__class_Oone(_u5956)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5956), _u5957), _u5958))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__0__Suc ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__0__Suc-1, axiom, ( ~class_Power_Opower(_u5959) | ~class_Rings_Osemiring__0(_u5959) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5959), c_Groups_Ozero__class_Ozero(_u5959)), hAPP(c_Nat_OSuc, _u5960)) = c_Groups_Ozero__class_Ozero(_u5959)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__inject__exp ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__inject__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5961) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5961), c_Groups_Oone__class_Oone(_u5961)), _u5962)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5961), _u5962), _u5963) != hAPP(hAPP(c_Power_Opower__class_Opower(_u5961), _u5962), _u5964)) | ( _u5963 = _u5964) )).
% 12.53/12.70 cnf(fact_power__inject__exp-2, axiom, ( ~class_Rings_Olinordered__semidom(_u5961) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5961), c_Groups_Oone__class_Oone(_u5961)), _u5962)) | ( _u5963 != _u5964) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5961), _u5962), _u5963) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5961), _u5962), _u5964)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__Suc2 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__Suc2-1, axiom, ( ~class_Groups_Omonoid__mult(_u5965) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5965), _u5966), hAPP(c_Nat_OSuc, _u5967)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5965), hAPP(hAPP(c_Power_Opower__class_Opower(_u5965), _u5966), _u5967)), _u5966)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__Suc ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__Suc-1, axiom, ( ~class_Power_Opower(_u5968) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5968), _u5969), hAPP(c_Nat_OSuc, _u5970)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5968), _u5969), hAPP(hAPP(c_Power_Opower__class_Opower(_u5968), _u5969), _u5970))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__0 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__0-1, axiom, ( ~class_Power_Opower(_u5971) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5971), _u5972), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u5971)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__add ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__add-1, axiom, ( ~class_Groups_Omonoid__mult(_u5973) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5973), _u5974), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5975), _u5976)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5973), hAPP(hAPP(c_Power_Opower__class_Opower(_u5973), _u5974), _u5975)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5973), _u5974), _u5976))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_nonzero__power__divide ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_nonzero__power__divide-1, axiom, ( ~class_Fields_Ofield(_u5977) | ( _u5978 = c_Groups_Ozero__class_Ozero(_u5977)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5977), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5977), _u5979), _u5978)), _u5980) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5977), hAPP(hAPP(c_Power_Opower__class_Opower(_u5977), _u5979), _u5980)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5977), _u5978), _u5980))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__one__over ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__one__over-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5981) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5981), c_Groups_Oone__class_Oone(_u5981)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5981), _u5982), _u5983)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5981), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5981), c_Groups_Oone__class_Oone(_u5981)), _u5982)), _u5983)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__Suc__0 ( axiom ) converted to clauses:
% 12.53/12.70 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))), _u5984) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_nat__power__eq__Suc__0__iff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_nat__power__eq__Suc__0__iff-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u5987), _u5989) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u5989 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u5987 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.53/12.70 cnf(fact_nat__power__eq__Suc__0__iff-2, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u5988), _u5990) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u5990 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.70 cnf(fact_nat__power__eq__Suc__0__iff-3, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u5988), _u5990) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u5988 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_nat__power__less__imp__less ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u5991)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u5991), _u5992)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u5991), _u5993))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5992), _u5993)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_nat__zero__less__power__iff ( axiom ) converted to clauses:
% 12.53/12.70 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), _u5996), _u5998))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5996)) | ( _u5998 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.70 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), _u5997), _u5999))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5997)) )).
% 12.53/12.70 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), _u5997), _u5999))) | ( _u5999 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__less__imp__less__base ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__less__imp__less__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6000) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6000), hAPP(hAPP(c_Power_Opower__class_Opower(_u6000), _u6001), _u6002)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6000), _u6003), _u6002))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6000), c_Groups_Ozero__class_Ozero(_u6000)), _u6003)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6000), _u6001), _u6003)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__le__imp__le__base ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__le__imp__le__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6004) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6004), hAPP(hAPP(c_Power_Opower__class_Opower(_u6004), _u6005), hAPP(c_Nat_OSuc, _u6006))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6004), _u6007), hAPP(c_Nat_OSuc, _u6006)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6004), c_Groups_Ozero__class_Ozero(_u6004)), _u6007)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6004), _u6005), _u6007)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__inject__base ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__inject__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6008) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6008), _u6009), hAPP(c_Nat_OSuc, _u6010)) != hAPP(hAPP(c_Power_Opower__class_Opower(_u6008), _u6011), hAPP(c_Nat_OSuc, _u6010))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6008), c_Groups_Ozero__class_Ozero(_u6008)), _u6009)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6008), c_Groups_Ozero__class_Ozero(_u6008)), _u6011)) | ( _u6009 = _u6011) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__less__power__Suc ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__less__power__Suc-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6012) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6012), c_Groups_Oone__class_Oone(_u6012)), _u6013)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6012), hAPP(hAPP(c_Power_Opower__class_Opower(_u6012), _u6013), _u6014)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6012), _u6013), hAPP(hAPP(c_Power_Opower__class_Opower(_u6012), _u6013), _u6014)))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__gt1__lemma ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__gt1__lemma-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6015) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6015), c_Groups_Oone__class_Oone(_u6015)), _u6016)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6015), c_Groups_Oone__class_Oone(_u6015)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6015), _u6016), hAPP(hAPP(c_Power_Opower__class_Opower(_u6015), _u6016), _u6017)))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__0__left ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__0__left-1, axiom, ( ~class_Power_Opower(_u6018) | ~class_Rings_Osemiring__0(_u6018) | ( _u6019 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6018), c_Groups_Ozero__class_Ozero(_u6018)), _u6019) = c_Groups_Oone__class_Oone(_u6018)) )).
% 12.53/12.70 cnf(fact_power__0__left-2, axiom, ( ~class_Power_Opower(_u6018) | ~class_Rings_Osemiring__0(_u6018) | ( _u6019 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6018), c_Groups_Ozero__class_Ozero(_u6018)), _u6019) = c_Groups_Ozero__class_Ozero(_u6018)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__gt1 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__gt1-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6020) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6020), c_Groups_Oone__class_Oone(_u6020)), _u6021)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6020), c_Groups_Oone__class_Oone(_u6020)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6020), _u6021), hAPP(c_Nat_OSuc, _u6022)))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__strict__increasing__iff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__strict__increasing__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6023) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6023), c_Groups_Oone__class_Oone(_u6023)), _u6024)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6023), hAPP(hAPP(c_Power_Opower__class_Opower(_u6023), _u6024), _u6025)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6023), _u6024), _u6026))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6025), _u6026)) )).
% 12.53/12.70 cnf(fact_power__strict__increasing__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u6023) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6023), c_Groups_Oone__class_Oone(_u6023)), _u6024)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6025), _u6026)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6023), hAPP(hAPP(c_Power_Opower__class_Opower(_u6023), _u6024), _u6025)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6023), _u6024), _u6026))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__less__imp__less__exp ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__less__imp__less__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6027) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6027), c_Groups_Oone__class_Oone(_u6027)), _u6028)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6027), hAPP(hAPP(c_Power_Opower__class_Opower(_u6027), _u6028), _u6029)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6027), _u6028), _u6030))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6029), _u6030)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__strict__increasing ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__strict__increasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6031) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6032), _u6033)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6031), c_Groups_Oone__class_Oone(_u6031)), _u6034)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6031), hAPP(hAPP(c_Power_Opower__class_Opower(_u6031), _u6034), _u6032)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6031), _u6034), _u6033))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__increasing ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__increasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6035) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6036), _u6037)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6035), c_Groups_Oone__class_Oone(_u6035)), _u6038)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6035), hAPP(hAPP(c_Power_Opower__class_Opower(_u6035), _u6038), _u6036)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6035), _u6038), _u6037))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__minus ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__minus-1, axiom, ( ~class_Rings_Oring__1(_u6039) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6039), hAPP(c_Groups_Ouminus__class_Ouminus(_u6039), _u6040)), _u6041) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6039), hAPP(hAPP(c_Power_Opower__class_Opower(_u6039), hAPP(c_Groups_Ouminus__class_Ouminus(_u6039), c_Groups_Oone__class_Oone(_u6039))), _u6041)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6039), _u6040), _u6041))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_nat__one__le__power ( axiom ) converted to clauses:
% 12.53/12.70 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))), _u6042)) | 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), _u6042), _u6043))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__Suc__less ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__Suc__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6044) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6044), c_Groups_Ozero__class_Ozero(_u6044)), _u6045)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6044), _u6045), c_Groups_Oone__class_Oone(_u6044))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6044), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6044), _u6045), hAPP(hAPP(c_Power_Opower__class_Opower(_u6044), _u6045), _u6046))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6044), _u6045), _u6046))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__eq__imp__eq__base ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__eq__imp__eq__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6047) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6047), _u6048), _u6049) != hAPP(hAPP(c_Power_Opower__class_Opower(_u6047), _u6050), _u6049)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6047), c_Groups_Ozero__class_Ozero(_u6047)), _u6048)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6047), c_Groups_Ozero__class_Ozero(_u6047)), _u6050)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6049)) | ( _u6048 = _u6050) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__Suc__less__one ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__Suc__less__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6051) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6051), c_Groups_Ozero__class_Ozero(_u6051)), _u6052)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6051), _u6052), c_Groups_Oone__class_Oone(_u6051))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6051), hAPP(hAPP(c_Power_Opower__class_Opower(_u6051), _u6052), hAPP(c_Nat_OSuc, _u6053))), c_Groups_Oone__class_Oone(_u6051))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__strict__decreasing ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__strict__decreasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6054) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6055), _u6056)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6054), c_Groups_Ozero__class_Ozero(_u6054)), _u6057)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6054), _u6057), c_Groups_Oone__class_Oone(_u6054))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6054), hAPP(hAPP(c_Power_Opower__class_Opower(_u6054), _u6057), _u6056)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6054), _u6057), _u6055))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_self__quotient__aux1 ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u6058)) | ( _u6058 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6059), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6058), _u6060))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6059), _u6058)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u6060)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_self__quotient__aux2 ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u6061)) | ( _u6061 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6062), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6061), _u6063))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6062)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6063), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_q__pos__lemma ( axiom ) converted to clauses:
% 12.53/12.70 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), _u6064), _u6065)), _u6066))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6066), _u6064)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6064)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6065)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_q__neg__lemma ( axiom ) converted to clauses:
% 12.53/12.70 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), _u6067), _u6068)), _u6069)), 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)), _u6069)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6067)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6068), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_unique__quotient__lemma ( axiom ) converted to clauses:
% 12.53/12.70 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), _u6070), _u6071)), _u6072)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6070), _u6073)), _u6074))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6072), _u6070)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6074), _u6070)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6071), _u6073)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zdiv__mono2__lemma ( axiom ) converted to clauses:
% 12.53/12.70 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), _u6075), _u6076)), _u6077) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), _u6079)), _u6080)) | ~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), _u6078), _u6079)), _u6080))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6080), _u6078)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6077)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6078)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6078), _u6075)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6076), _u6079)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_finite__atLeastAtMost__int ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_finite__atLeastAtMost__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u6081, _u6082))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_finite__atLeastLessThan__int ( axiom ) converted to clauses:
% 12.53/12.70 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, _u6083), _u6084))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_finite__greaterThanAtMost__int ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_finite__greaterThanAtMost__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u6085, _u6086))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_finite__greaterThanLessThan__int ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_finite__greaterThanLessThan__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u6087, _u6088))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_number__of__is__id ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_number__of__is__id-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6089) = _u6089) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_eq__number__of__int__code ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_eq__number__of__int__code-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6092)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6094))) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u6092), _u6094)) )).
% 12.53/12.70 cnf(fact_eq__number__of__int__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u6093), _u6095)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6093)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6095))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_int__0__neq__1 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_int__0__neq__1-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_eq__int__refl ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_eq__int__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u6096), _u6096)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_finite__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u6097))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zdiv__mono2__neg__lemma ( axiom ) converted to clauses:
% 12.53/12.70 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), _u6098), _u6099)), _u6100) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6101), _u6102)), _u6103)) | ~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), _u6101), _u6102)), _u6103)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6100), _u6098)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6103)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6101)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6101), _u6098)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6102), _u6099)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_unique__quotient__lemma__neg ( axiom ) converted to clauses:
% 12.53/12.70 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), _u6104), _u6105)), _u6106)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6104), _u6107)), _u6108))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6108), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6104), _u6108)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6104), _u6106)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6107), _u6105)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_simp__from__to ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_simp__from__to-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6111), _u6113)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u6113, _u6111) = c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 12.53/12.70 cnf(fact_simp__from__to-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6112), _u6114)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u6114, _u6112) = hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint), _u6114), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6114), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u6112))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u6115)) | 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), _u6115), _u6116))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u6117)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6118)) | 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), _u6117), _u6118))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u6119)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6120)) | 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), _u6119), _u6120))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power__power__power ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power__power__power-1, axiom, ( ~class_Power_Opower(_u6121) | ( c_Power_Opower__class_Opower(_u6121) = c_Power_Opower_Opower(_u6121, c_Groups_Oone__class_Oone(_u6121), c_Groups_Otimes__class_Otimes(_u6121))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_infinite__UNIV__int ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_infinite__UNIV__int-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint, tc_HOL_Obool)))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power_Opower_Opower__0 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power_Opower_Opower__0-1, axiom, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u6122, _u6123, _u6124), _u6125), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u6123) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_power_Opower_Opower__Suc ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_power_Opower_Opower__Suc-1, axiom, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u6126, _u6127, _u6128), _u6129), hAPP(c_Nat_OSuc, _u6130)) = hAPP(hAPP(_u6128, _u6129), hAPP(hAPP(c_Power_Opower_Opower(_u6126, _u6127, _u6128), _u6129), _u6130))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_aset_I6_J ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u6134)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6135), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u6136)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6133), _u6135)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6133), _u6134)), _u6135)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem142(_u6136, _u6135, _u6134, _u6133)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6134))) )).
% 12.53/12.70 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)), _u6134)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6135), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u6136)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6133), _u6135)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6133), _u6134)), _u6135)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem143(_u6136, _u6135, _u6134, _u6133)), _u6136)) )).
% 12.53/12.70 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)), _u6134)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6135), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u6136)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6133), _u6135)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6133), _u6134)), _u6135)) | ( _u6133 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem143(_u6136, _u6135, _u6134, _u6133)), skolem142(_u6136, _u6135, _u6134, _u6133))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_bset_I8_J ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u6140)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6141), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u6142)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6141), _u6139)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6141), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6139), _u6140))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem144(_u6142, _u6141, _u6140, _u6139)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6140))) )).
% 12.53/12.70 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)), _u6140)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6141), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u6142)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6141), _u6139)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6141), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6139), _u6140))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem145(_u6142, _u6141, _u6140, _u6139)), _u6142)) )).
% 12.53/12.70 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)), _u6140)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6141), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u6142)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6141), _u6139)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6141), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6139), _u6140))) | ( _u6139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem145(_u6142, _u6141, _u6140, _u6139)), skolem144(_u6142, _u6141, _u6140, _u6139))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_bset_I6_J ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u6146)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6145), _u6148)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6145), _u6146)), _u6148)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem146(_u6148, _u6147, _u6146, _u6145)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6146))) )).
% 12.53/12.70 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)), _u6146)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6145), _u6148)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6145), _u6146)), _u6148)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem147(_u6148, _u6147, _u6146, _u6145)), _u6147)) )).
% 12.53/12.70 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)), _u6146)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6145), _u6148)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6145), _u6146)), _u6148)) | ( _u6145 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem147(_u6148, _u6147, _u6146, _u6145)), skolem146(_u6148, _u6147, _u6146, _u6145))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_aset_I8_J ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u6152)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6154), _u6151)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6154), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6151), _u6152))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem148(_u6154, _u6153, _u6152, _u6151)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6152))) )).
% 12.53/12.70 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)), _u6152)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6154), _u6151)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6154), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6151), _u6152))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem149(_u6154, _u6153, _u6152, _u6151)), _u6153)) )).
% 12.53/12.70 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)), _u6152)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6154), _u6151)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6154), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6151), _u6152))) | ( _u6151 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem149(_u6154, _u6153, _u6152, _u6151)), skolem148(_u6154, _u6153, _u6152, _u6151))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_periodic__finite__ex ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u6161)) | ~hBOOL(hAPP(_u6162, _u6157)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem154(_u6162, _u6161)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6161))) | hBOOL(hAPP(_u6162, skolem150(_u6162, _u6161))) | ~hBOOL(hAPP(_u6162, skolem152(_u6162, _u6161))) )).
% 12.53/12.70 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)), _u6161)) | ~hBOOL(hAPP(_u6162, _u6157)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem154(_u6162, _u6161)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6161))) | hBOOL(hAPP(_u6162, skolem150(_u6162, _u6161))) | hBOOL(hAPP(_u6162, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem152(_u6162, _u6161)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem153(_u6162, _u6161)), _u6161)))) )).
% 12.53/12.70 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)), _u6161)) | ~hBOOL(hAPP(_u6162, _u6157)) | hBOOL(hAPP(_u6162, skolem154(_u6162, _u6161))) | hBOOL(hAPP(_u6162, skolem150(_u6162, _u6161))) | ~hBOOL(hAPP(_u6162, skolem152(_u6162, _u6161))) )).
% 12.53/12.70 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)), _u6161)) | ~hBOOL(hAPP(_u6162, _u6157)) | hBOOL(hAPP(_u6162, skolem154(_u6162, _u6161))) | hBOOL(hAPP(_u6162, skolem150(_u6162, _u6161))) | hBOOL(hAPP(_u6162, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem152(_u6162, _u6161)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem153(_u6162, _u6161)), _u6161)))) )).
% 12.53/12.70 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)), _u6161)) | ~hBOOL(hAPP(_u6162, _u6157)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem154(_u6162, _u6161)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6161))) | ~hBOOL(hAPP(_u6162, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem150(_u6162, _u6161)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem151(_u6162, _u6161)), _u6161)))) | ~hBOOL(hAPP(_u6162, skolem152(_u6162, _u6161))) )).
% 12.53/12.70 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)), _u6161)) | ~hBOOL(hAPP(_u6162, _u6157)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem154(_u6162, _u6161)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6161))) | ~hBOOL(hAPP(_u6162, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem150(_u6162, _u6161)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem151(_u6162, _u6161)), _u6161)))) | hBOOL(hAPP(_u6162, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem152(_u6162, _u6161)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem153(_u6162, _u6161)), _u6161)))) )).
% 12.53/12.70 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)), _u6161)) | ~hBOOL(hAPP(_u6162, _u6157)) | hBOOL(hAPP(_u6162, skolem154(_u6162, _u6161))) | ~hBOOL(hAPP(_u6162, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem150(_u6162, _u6161)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem151(_u6162, _u6161)), _u6161)))) | ~hBOOL(hAPP(_u6162, skolem152(_u6162, _u6161))) )).
% 12.53/12.70 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)), _u6161)) | ~hBOOL(hAPP(_u6162, _u6157)) | hBOOL(hAPP(_u6162, skolem154(_u6162, _u6161))) | ~hBOOL(hAPP(_u6162, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem150(_u6162, _u6161)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem151(_u6162, _u6161)), _u6161)))) | hBOOL(hAPP(_u6162, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem152(_u6162, _u6161)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem153(_u6162, _u6161)), _u6161)))) )).
% 12.53/12.70 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)), _u6161)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u6159), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6161))) | ~hBOOL(hAPP(_u6162, _u6159)) | hBOOL(hAPP(_u6162, skolem155(_u6162, _u6161))) | hBOOL(hAPP(_u6162, skolem150(_u6162, _u6161))) | ~hBOOL(hAPP(_u6162, skolem152(_u6162, _u6161))) )).
% 12.53/12.70 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)), _u6161)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u6159), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6161))) | ~hBOOL(hAPP(_u6162, _u6159)) | hBOOL(hAPP(_u6162, skolem155(_u6162, _u6161))) | hBOOL(hAPP(_u6162, skolem150(_u6162, _u6161))) | hBOOL(hAPP(_u6162, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem152(_u6162, _u6161)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem153(_u6162, _u6161)), _u6161)))) )).
% 12.53/12.70 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)), _u6161)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u6159), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6161))) | ~hBOOL(hAPP(_u6162, _u6159)) | hBOOL(hAPP(_u6162, skolem155(_u6162, _u6161))) | ~hBOOL(hAPP(_u6162, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem150(_u6162, _u6161)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem151(_u6162, _u6161)), _u6161)))) | ~hBOOL(hAPP(_u6162, skolem152(_u6162, _u6161))) )).
% 12.53/12.70 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)), _u6161)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u6159), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6161))) | ~hBOOL(hAPP(_u6162, _u6159)) | hBOOL(hAPP(_u6162, skolem155(_u6162, _u6161))) | ~hBOOL(hAPP(_u6162, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem150(_u6162, _u6161)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem151(_u6162, _u6161)), _u6161)))) | hBOOL(hAPP(_u6162, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem152(_u6162, _u6161)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem153(_u6162, _u6161)), _u6161)))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_aset_I4_J ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u6170)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u6171), _u6172)) | ( _u6169 = _u6171) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6169), _u6170) != _u6171) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem156(_u6172, _u6171, _u6170, _u6169)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6170))) )).
% 12.53/12.70 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)), _u6170)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u6171), _u6172)) | ( _u6169 = _u6171) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6169), _u6170) != _u6171) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem157(_u6172, _u6171, _u6170, _u6169)), _u6172)) )).
% 12.53/12.70 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)), _u6170)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u6171), _u6172)) | ( _u6169 = _u6171) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6169), _u6170) != _u6171) | ( _u6169 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem157(_u6172, _u6171, _u6170, _u6169)), skolem156(_u6172, _u6171, _u6170, _u6169))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_bset_I3_J ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u6175)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6176), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u6177)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6176), _u6175) = _u6176) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem158(_u6177, _u6176, _u6175)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6175))) )).
% 12.53/12.70 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)), _u6175)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6176), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u6177)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6176), _u6175) = _u6176) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem159(_u6177, _u6176, _u6175)), _u6177)) )).
% 12.53/12.70 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)), _u6175)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6176), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u6177)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6176), _u6175) = _u6176) | ( _u6176 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem159(_u6177, _u6176, _u6175)), skolem158(_u6177, _u6176, _u6175))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_aset_I3_J ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u6180)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6181), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u6182)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6181), _u6180) = _u6181) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem160(_u6182, _u6181, _u6180)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6180))) )).
% 12.53/12.70 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)), _u6180)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6181), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u6182)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6181), _u6180) = _u6181) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem161(_u6182, _u6181, _u6180)), _u6182)) )).
% 12.53/12.70 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)), _u6180)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6181), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u6182)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6181), _u6180) = _u6181) | ( _u6181 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem161(_u6182, _u6181, _u6180)), skolem160(_u6182, _u6181, _u6180))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_aset_I5_J ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u6186)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u6187), _u6188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6185), _u6187)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6185), _u6186)), _u6187)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem162(_u6188, _u6187, _u6186, _u6185)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6186))) )).
% 12.53/12.70 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)), _u6186)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u6187), _u6188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6185), _u6187)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6185), _u6186)), _u6187)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem163(_u6188, _u6187, _u6186, _u6185)), _u6188)) )).
% 12.53/12.70 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)), _u6186)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u6187), _u6188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6185), _u6187)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6185), _u6186)), _u6187)) | ( _u6185 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem163(_u6188, _u6187, _u6186, _u6185)), skolem162(_u6188, _u6187, _u6186, _u6185))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_bset_I7_J ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u6192)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u6193), _u6194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6193), _u6191)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6193), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6191), _u6192))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem164(_u6194, _u6193, _u6192, _u6191)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6192))) )).
% 12.53/12.70 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)), _u6192)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u6193), _u6194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6193), _u6191)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6193), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6191), _u6192))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem165(_u6194, _u6193, _u6192, _u6191)), _u6194)) )).
% 12.53/12.70 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)), _u6192)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u6193), _u6194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6193), _u6191)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6193), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6191), _u6192))) | ( _u6191 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem165(_u6194, _u6193, _u6192, _u6191)), skolem164(_u6194, _u6193, _u6192, _u6191))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_bset_I4_J ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u6198)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u6199), _u6200)) | ( _u6197 = _u6199) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6197), _u6198) != _u6199) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem166(_u6200, _u6199, _u6198, _u6197)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6198))) )).
% 12.53/12.70 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)), _u6198)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u6199), _u6200)) | ( _u6197 = _u6199) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6197), _u6198) != _u6199) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem167(_u6200, _u6199, _u6198, _u6197)), _u6200)) )).
% 12.53/12.70 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)), _u6198)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u6199), _u6200)) | ( _u6197 = _u6199) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6197), _u6198) != _u6199) | ( _u6197 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem167(_u6200, _u6199, _u6198, _u6197)), skolem166(_u6200, _u6199, _u6198, _u6197))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_aset_I7_J ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u6204)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6206), _u6203)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6206), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6203), _u6204))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem168(_u6206, _u6205, _u6204, _u6203)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6204))) )).
% 12.53/12.70 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)), _u6204)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6206), _u6203)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6206), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6203), _u6204))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem169(_u6206, _u6205, _u6204, _u6203)), _u6205)) )).
% 12.53/12.70 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)), _u6204)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6206), _u6203)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6206), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6203), _u6204))) | ( _u6203 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem169(_u6206, _u6205, _u6204, _u6203)), skolem168(_u6206, _u6205, _u6204, _u6203))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_bset_I5_J ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u6210)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6209), _u6212)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6209), _u6210)), _u6212)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem170(_u6212, _u6211, _u6210, _u6209)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6210))) )).
% 12.53/12.70 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)), _u6210)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6209), _u6212)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6209), _u6210)), _u6212)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem171(_u6212, _u6211, _u6210, _u6209)), _u6211)) )).
% 12.53/12.70 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)), _u6210)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6209), _u6212)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6209), _u6210)), _u6212)) | ( _u6209 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem171(_u6212, _u6211, _u6210, _u6209)), skolem170(_u6212, _u6211, _u6210, _u6209))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_tsub__def ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_tsub__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6215), _u6217)) | ( c_Nat__Transfer_Otsub(_u6217, _u6215) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6217), _u6215)) )).
% 12.53/12.70 cnf(fact_tsub__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6216), _u6218)) | ( c_Nat__Transfer_Otsub(_u6218, _u6216) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_int__power__div__base ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u6219)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6220)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6220), _u6219)), _u6220) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6220), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6219), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_decr__mult__lemma ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u6223)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6225)) | ~hBOOL(hAPP(_u6224, _u6222)) | hBOOL(hAPP(_u6224, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6222), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6225), _u6223)))) | hBOOL(hAPP(_u6224, skolem172(_u6225, _u6224, _u6223))) )).
% 12.53/12.70 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)), _u6223)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6225)) | ~hBOOL(hAPP(_u6224, _u6222)) | hBOOL(hAPP(_u6224, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6222), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6225), _u6223)))) | ~hBOOL(hAPP(_u6224, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem172(_u6225, _u6224, _u6223)), _u6223))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_incr__mult__lemma ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u6228)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6230)) | ~hBOOL(hAPP(_u6229, _u6227)) | hBOOL(hAPP(_u6229, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6227), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6230), _u6228)))) | hBOOL(hAPP(_u6229, skolem173(_u6230, _u6229, _u6228))) )).
% 12.53/12.70 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)), _u6228)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6230)) | ~hBOOL(hAPP(_u6229, _u6227)) | hBOOL(hAPP(_u6229, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6227), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6230), _u6228)))) | ~hBOOL(hAPP(_u6229, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem173(_u6230, _u6229, _u6228)), _u6228))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_of__nat__number__of__lemma ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_of__nat__number__of__lemma-1, axiom, ( ~class_Int_Onumber__ring(_u6231) | ~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), _u6232))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6231), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6232)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6231), _u6232)) )).
% 12.53/12.70 cnf(fact_of__nat__number__of__lemma-2, axiom, ( ~class_Int_Onumber__ring(_u6231) | 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), _u6232))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6231), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6232)) = c_Groups_Ozero__class_Ozero(_u6231)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_negative__zle ( axiom ) converted to clauses:
% 12.53/12.70 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), _u6233))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6234))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_negative__zless ( axiom ) converted to clauses:
% 12.53/12.70 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, _u6235)))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6236))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J ( axiom ) converted to clauses:
% 12.53/12.70 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), _u6237), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6238)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6237), _u6238))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_of__nat__eq__iff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_of__nat__eq__iff-1, axiom, ( ~class_Nat_Osemiring__char__0(_u6239) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6239), _u6240) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6239), _u6241)) | ( _u6240 = _u6241) )).
% 12.53/12.70 cnf(fact_of__nat__eq__iff-2, axiom, ( ~class_Nat_Osemiring__char__0(_u6239) | ( _u6240 != _u6241) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6239), _u6240) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6239), _u6241)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zdiv__zero ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zdiv__zero-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6242) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zdiv__zminus__zminus ( axiom ) converted to clauses:
% 12.53/12.70 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), _u6243)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6244)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6243), _u6244)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zdiv__zminus2 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zdiv__zminus2-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6245), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6246)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6245)), _u6246)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_div__0 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_div__0-1, axiom, ( ~class_Divides_Osemiring__div(_u6247) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6247), c_Groups_Ozero__class_Ozero(_u6247)), _u6248) = c_Groups_Ozero__class_Ozero(_u6247)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_div__by__0 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_div__by__0-1, axiom, ( ~class_Divides_Osemiring__div(_u6249) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6249), _u6250), c_Groups_Ozero__class_Ozero(_u6249)) = c_Groups_Ozero__class_Ozero(_u6249)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_div__by__1 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_div__by__1-1, axiom, ( ~class_Divides_Osemiring__div(_u6251) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6251), _u6252), c_Groups_Oone__class_Oone(_u6251)) = _u6252) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u6253) = 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)), _u6253))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_transfer__nat__int__set__relations_I2_J ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_transfer__nat__int__set__relations_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u6256), _u6258)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6256)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6258))) )).
% 12.53/12.70 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), _u6257)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6259))) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u6257), _u6259)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_transfer__nat__int__set__relations_I5_J ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u6262), _u6264)) | 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)), _u6262)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6264))) )).
% 12.53/12.70 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)), _u6263)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6265))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u6263), _u6265)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_Divides_Otransfer__nat__int__function__closures_I1_J ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u6266)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6267)) | 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), _u6266), _u6267))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_pos__imp__zdiv__neg__iff ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u6268)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6269), _u6268)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6269), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.70 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)), _u6268)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6269), 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), _u6269), _u6268)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_neg__imp__zdiv__neg__iff ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_neg__imp__zdiv__neg__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6270), 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), _u6271), _u6270)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6271)) )).
% 12.53/12.70 cnf(fact_neg__imp__zdiv__neg__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6270), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6271)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6271), _u6270)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_div__neg__pos__less0 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_div__neg__pos__less0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6272), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6273)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6272), _u6273)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zdiv__self ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_zdiv__self-1, axiom, ( ( _u6274 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6274), _u6274) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_int__0 ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_int__0-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_int__eq__0__conv ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_int__eq__0__conv-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6276) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6276 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.70 cnf(fact_int__eq__0__conv-2, axiom, ( ( _u6277 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6277) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_transfer__int__nat__numerals_I1_J ( axiom ) converted to clauses:
% 12.53/12.70 cnf(fact_transfer__int__nat__numerals_I1_J-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_zero__zle__int ( axiom ) converted to clauses:
% 12.53/12.70 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), _u6278))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J ( axiom ) converted to clauses:
% 12.53/12.70 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), _u6279))) )).
% 12.53/12.70
% 12.53/12.70 % Formula: fact_transfer__int__nat__quantifiers_I2_J ( axiom ) converted to clauses:
% 12.53/12.70 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)), _u6280)) | ~hBOOL(hAPP(_u6285, _u6280)) | hBOOL(hAPP(_u6285, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem174(_u6285)))) )).
% 12.53/12.71 cnf(fact_transfer__int__nat__quantifiers_I2_J-2, axiom, ( ~hBOOL(hAPP(_u6286, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6282))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem175(_u6286))) )).
% 12.53/12.71 cnf(fact_transfer__int__nat__quantifiers_I2_J-3, axiom, ( ~hBOOL(hAPP(_u6286, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6282))) | hBOOL(hAPP(_u6286, skolem175(_u6286))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_transfer__int__nat__quantifiers_I1_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_transfer__int__nat__quantifiers_I1_J-1, axiom, ( hBOOL(hAPP(_u6292, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6288))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem176(_u6292))) )).
% 12.53/12.71 cnf(fact_transfer__int__nat__quantifiers_I1_J-2, axiom, ( hBOOL(hAPP(_u6292, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6288))) | ~hBOOL(hAPP(_u6292, skolem176(_u6292))) )).
% 12.53/12.71 cnf(fact_transfer__int__nat__quantifiers_I1_J-3, axiom, ( ~hBOOL(hAPP(_u6293, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem177(_u6293)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6290)) | hBOOL(hAPP(_u6293, _u6290)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_int__less__0__conv ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6294)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zless__int ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6297)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6299))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6297), _u6299)) )).
% 12.53/12.71 cnf(fact_zless__int-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6298), _u6300)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6298)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6300))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_transfer__int__nat__relations_I2_J ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6303)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6305))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6303), _u6305)) )).
% 12.53/12.71 cnf(fact_transfer__int__nat__relations_I2_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6304), _u6306)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6304)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6306))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zle__int ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6309)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6311))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6309), _u6311)) )).
% 12.53/12.71 cnf(fact_zle__int-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6310), _u6312)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6310)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6312))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_transfer__int__nat__relations_I3_J ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6315)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6317))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6315), _u6317)) )).
% 12.53/12.71 cnf(fact_transfer__int__nat__relations_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6316), _u6318)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6316)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6318))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zadd__int ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6319)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6320)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6319), _u6320))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zadd__int__left ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6321)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6322)), _u6323)) = 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), _u6321), _u6322))), _u6323)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6324)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6325)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6324), _u6325))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zle__iff__zadd ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zle__iff__zadd-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6330), _u6332)) | ( _u6332 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6330), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem178(_u6332, _u6330)))) )).
% 12.53/12.71 cnf(fact_zle__iff__zadd-2, axiom, ( ( _u6333 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6331), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6327))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6331), _u6333)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zero__le__imp__of__nat ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zero__le__imp__of__nat-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6334) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6334), c_Groups_Ozero__class_Ozero(_u6334)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6334), _u6335))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__nat__0__le__iff ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__nat__0__le__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6336) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6336), c_Groups_Ozero__class_Ozero(_u6336)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6336), _u6337))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_negative__eq__positive ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6340)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6342)) | ( _u6340 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71 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), _u6340)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6342)) | ( _u6342 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71 cnf(fact_negative__eq__positive-3, axiom, ( ( _u6341 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6343 != 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), _u6341)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6343)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__nat__less__0__iff ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__nat__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6344) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6344), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6344), _u6345)), c_Groups_Ozero__class_Ozero(_u6344))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_not__int__zless__negative ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6346)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6347)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_int__mult ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6348), _u6349)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6348)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6349))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zmult__int ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6350)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6351)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6350), _u6351))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6352)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6353)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6352), _u6353))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__nat__0 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__nat__0-1, axiom, ( ~class_Rings_Osemiring__1(_u6354) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6354), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(_u6354)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__nat__less__imp__less ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__nat__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6355) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6355), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6355), _u6356)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6355), _u6357))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6356), _u6357)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_less__imp__of__nat__less ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_less__imp__of__nat__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6358) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6359), _u6360)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6358), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6358), _u6359)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6358), _u6360))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__nat__less__iff ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__nat__less__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6361) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6361), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6361), _u6362)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6361), _u6363))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6362), _u6363)) )).
% 12.53/12.71 cnf(fact_of__nat__less__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u6361) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6362), _u6363)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6361), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6361), _u6362)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6361), _u6363))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_int__1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_int__1-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_transfer__int__nat__numerals_I2_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_transfer__int__nat__numerals_I2_J-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__nat__le__iff ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__nat__le__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6364) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6364), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6364), _u6365)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6364), _u6366))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6365), _u6366)) )).
% 12.53/12.71 cnf(fact_of__nat__le__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u6364) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6365), _u6366)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6364), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6364), _u6365)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6364), _u6366))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__nat__add ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__nat__add-1, axiom, ( ~class_Rings_Osemiring__1(_u6367) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6367), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6368), _u6369)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6367), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6367), _u6368)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6367), _u6369))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__nat__mult ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__nat__mult-1, axiom, ( ~class_Rings_Osemiring__1(_u6370) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6370), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6371), _u6372)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6370), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6370), _u6371)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6370), _u6372))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__mult__mult1__if ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_div__mult__mult1__if-1, axiom, ( ~class_Divides_Osemiring__div(_u6373) | ( _u6374 != c_Groups_Ozero__class_Ozero(_u6373)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6373), _u6374), _u6375)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6373), _u6374), _u6376)) = c_Groups_Ozero__class_Ozero(_u6373)) )).
% 12.53/12.71 cnf(fact_div__mult__mult1__if-2, axiom, ( ~class_Divides_Osemiring__div(_u6373) | ( _u6374 = c_Groups_Ozero__class_Ozero(_u6373)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6373), _u6374), _u6375)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6373), _u6374), _u6376)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6373), _u6375), _u6376)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__mult__self2__is__id ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_div__mult__self2__is__id-1, axiom, ( ~class_Divides_Osemiring__div(_u6377) | ( _u6378 = c_Groups_Ozero__class_Ozero(_u6377)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6377), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6377), _u6379), _u6378)), _u6378) = _u6379) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__mult__self1__is__id ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_div__mult__self1__is__id-1, axiom, ( ~class_Divides_Osemiring__div(_u6380) | ( _u6381 = c_Groups_Ozero__class_Ozero(_u6380)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6380), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6380), _u6381), _u6382)), _u6381) = _u6382) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__mult__mult2 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_div__mult__mult2-1, axiom, ( ~class_Divides_Osemiring__div(_u6383) | ( _u6384 = c_Groups_Ozero__class_Ozero(_u6383)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6383), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6383), _u6385), _u6384)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6383), _u6386), _u6384)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6383), _u6385), _u6386)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__mult__mult1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_div__mult__mult1-1, axiom, ( ~class_Divides_Osemiring__div(_u6387) | ( _u6388 = c_Groups_Ozero__class_Ozero(_u6387)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6387), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6387), _u6388), _u6389)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6387), _u6388), _u6390)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6387), _u6389), _u6390)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__self ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_div__self-1, axiom, ( ~class_Divides_Osemiring__div(_u6391) | ( _u6392 = c_Groups_Ozero__class_Ozero(_u6391)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6391), _u6392), _u6392) = c_Groups_Oone__class_Oone(_u6391)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__nat__1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__nat__1-1, axiom, ( ~class_Rings_Osemiring__1(_u6393) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6393), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u6393)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Ints__of__nat ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Ints__of__nat-1, axiom, ( ~class_Rings_Oring__1(_u6394) | hBOOL(hAPP(hAPP(c_member(_u6394), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6394), _u6395)), c_Int_Oring__1__class_OInts(_u6394))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__nat__power ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__nat__power-1, axiom, ( ~class_Rings_Osemiring__1(_u6396) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6396), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6397), _u6398)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6396), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6396), _u6397)), _u6398)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_int__power ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6399), _u6400)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6399)), _u6400)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zpower__int ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6401)), _u6402) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6401), _u6402))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6403)), _u6404) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6403), _u6404))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_transfer__nat__int__set__relations_I1_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_transfer__nat__int__set__relations_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u6406)) | 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)), _u6406))) )).
% 12.53/12.71 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)), _u6407))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u6407)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zdiv__eq__0__iff ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zdiv__eq__0__iff-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6410), _u6412) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6412 = 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)), _u6410)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6410), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71 cnf(fact_zdiv__eq__0__iff-2, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6410), _u6412) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6412 = 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)), _u6410)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6412), _u6410)) )).
% 12.53/12.71 cnf(fact_zdiv__eq__0__iff-3, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6410), _u6412) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6412 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6410), _u6412)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6410), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71 cnf(fact_zdiv__eq__0__iff-4, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6410), _u6412) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6412 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6410), _u6412)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6412), _u6410)) )).
% 12.53/12.71 cnf(fact_zdiv__eq__0__iff-5, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6411), _u6413) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6413 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.71 cnf(fact_zdiv__eq__0__iff-6, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6411), _u6413) = 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)), _u6411)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6411), _u6413)) )).
% 12.53/12.71 cnf(fact_zdiv__eq__0__iff-7, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6411), _u6413) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6411), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6413), _u6411)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_pos__imp__zdiv__nonneg__iff ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6414)) | ~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), _u6415), _u6414))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6415)) )).
% 12.53/12.71 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)), _u6414)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6415)) | 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), _u6415), _u6414))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_pos__imp__zdiv__pos__iff ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6416)) | ~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), _u6417), _u6416))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6416), _u6417)) )).
% 12.53/12.71 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)), _u6416)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6416), _u6417)) | 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), _u6417), _u6416))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nonneg1__imp__zdiv__pos__iff ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6418)) | ~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), _u6418), _u6419))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6419), _u6418)) )).
% 12.53/12.71 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)), _u6418)) | ~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), _u6418), _u6419))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6419)) )).
% 12.53/12.71 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)), _u6418)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6419), _u6418)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6419)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6418), _u6419))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zdiv__mono2 ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6420)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6421)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6421), _u6422)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6420), _u6422)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6420), _u6421))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__nonneg__neg__le0 ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6423)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6424), 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), _u6423), _u6424)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__pos__pos__trivial ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6425)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6425), _u6426)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6425), _u6426) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_neg__imp__zdiv__nonneg__iff ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_neg__imp__zdiv__nonneg__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6427), 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), _u6428), _u6427))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6428), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71 cnf(fact_neg__imp__zdiv__nonneg__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6427), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6428), 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), _u6428), _u6427))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__nonpos__pos__le0 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_div__nonpos__pos__le0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6429), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6430)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6429), _u6430)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zdiv__mono2__neg ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zdiv__mono2__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6431), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6432), _u6433)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6431), _u6432)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6431), _u6433))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__neg__neg__trivial ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_div__neg__neg__trivial-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6434), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6435), _u6434)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6434), _u6435) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zdiv__mono1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zdiv__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6436), _u6437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6438)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6436), _u6438)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6437), _u6438))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zdiv__mono1__neg ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zdiv__mono1__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6439), _u6440)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6441), 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), _u6440), _u6441)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6439), _u6441))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_int__div__less__self ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6442)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u6443)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6442), _u6443)), _u6442)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zdiv__zmult2__eq ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6444)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6445), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6446), _u6444)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6445), _u6446)), _u6444)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_int__le__0__conv ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6448)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6448 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71 cnf(fact_int__le__0__conv-2, axiom, ( ( _u6449 != 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), _u6449)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_int__Suc0__eq__1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_int__Suc0__eq__1-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zless__iff__Suc__zadd ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zless__iff__Suc__zadd-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6454), _u6456)) | ( _u6456 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6454), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem179(_u6456, _u6454))))) )).
% 12.53/12.71 cnf(fact_zless__iff__Suc__zadd-2, axiom, ( ( _u6457 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6455), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u6451)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6455), _u6457)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_int__zle__neg ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6460)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6462)))) | ( _u6460 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71 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), _u6460)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6462)))) | ( _u6462 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71 cnf(fact_int__zle__neg-3, axiom, ( ( _u6461 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6463 != 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), _u6461)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6463)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_int__Suc ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_int__Suc-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u6464)) = 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), _u6464))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_negative__zle__0 ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6465))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zdiff__int ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zdiff__int-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6466), _u6467)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6467)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6466)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6467), _u6466))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__nat__Suc ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__nat__Suc-1, axiom, ( ~class_Rings_Osemiring__1(_u6468) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6468), hAPP(c_Nat_OSuc, _u6469)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6468), c_Groups_Oone__class_Oone(_u6468)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6468), _u6469))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__nat__diff ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__nat__diff-1, axiom, ( ~class_Rings_Oring__1(_u6470) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6471), _u6472)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6470), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6472), _u6471)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6470), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6470), _u6472)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6470), _u6471))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__mult__self2 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_div__mult__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u6473) | ( _u6474 = c_Groups_Ozero__class_Ozero(_u6473)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6473), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6473), _u6475), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6473), _u6474), _u6476))), _u6474) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6473), _u6476), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6473), _u6475), _u6474))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__mult__self1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_div__mult__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u6477) | ( _u6478 = c_Groups_Ozero__class_Ozero(_u6477)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6477), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6477), _u6479), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6477), _u6480), _u6478))), _u6478) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6477), _u6480), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6477), _u6479), _u6478))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__add__self1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_div__add__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u6481) | ( _u6482 = c_Groups_Ozero__class_Ozero(_u6481)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6481), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6481), _u6482), _u6483)), _u6482) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6481), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6481), _u6483), _u6482)), c_Groups_Oone__class_Oone(_u6481))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__add__self2 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_div__add__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u6484) | ( _u6485 = c_Groups_Ozero__class_Ozero(_u6484)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6484), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6484), _u6486), _u6485)), _u6485) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6484), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6484), _u6486), _u6485)), c_Groups_Oone__class_Oone(_u6484))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zero__less__int__conv ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6488))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6488)) )).
% 12.53/12.71 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)), _u6489)) | 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), _u6489))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zmult__zless__mono2__lemma ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zmult__zless__mono2__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6490), _u6491)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6492)) | 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), _u6492)), _u6490)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6492)), _u6491))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_not__zle__0__negative ( axiom ) converted to clauses:
% 12.53/12.71 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, _u6493))))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_negative__zless__0 ( axiom ) converted to clauses:
% 12.53/12.71 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, _u6494)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__nat__0__less__iff ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__nat__0__less__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6495) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6495), c_Groups_Ozero__class_Ozero(_u6495)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6495), _u6496))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6496)) )).
% 12.53/12.71 cnf(fact_of__nat__0__less__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u6495) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6496)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6495), c_Groups_Ozero__class_Ozero(_u6495)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6495), _u6496))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_divmod__int__rel__div__eq ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_divmod__int__rel__div__eq-1, axiom, ( ( _u6497 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6498), _u6499)), _u6500)) | ( _u6498 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6497), _u6498) = _u6499) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6498)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6498), _u6500)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6500), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71 cnf(fact_divmod__int__rel__div__eq-2, axiom, ( ( _u6497 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6498), _u6499)), _u6500)) | ( _u6498 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6497), _u6498) = _u6499) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6500)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6500), _u6498)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6498)) )).
% 12.53/12.71 cnf(fact_divmod__int__rel__div__eq-3, axiom, ( ( _u6497 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6498), _u6499)), _u6500)) | ( _u6498 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6497), _u6498) = _u6499) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6500)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6500), _u6498)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6498), _u6500)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6500), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_split__zdiv ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_split__zdiv-1, axiom, ( ~hBOOL(hAPP(_u6512, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6514), _u6516))) | ( _u6516 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u6512, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71 cnf(fact_split__zdiv-2, axiom, ( ~hBOOL(hAPP(_u6512, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6514), _u6516))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6516)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6501)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6501), _u6516)) | ( _u6514 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6516), _u6502)), _u6501)) | hBOOL(hAPP(_u6512, _u6502)) )).
% 12.53/12.71 cnf(fact_split__zdiv-3, axiom, ( ~hBOOL(hAPP(_u6512, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6514), _u6516))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6516), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6516), _u6503)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6503), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6514 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6516), _u6504)), _u6503)) | hBOOL(hAPP(_u6512, _u6504)) )).
% 12.53/12.71 cnf(fact_split__zdiv-4, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6517)) )).
% 12.53/12.71 cnf(fact_split__zdiv-5, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6517 = 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)), skolem181(_u6517, _u6515, _u6513))) )).
% 12.53/12.71 cnf(fact_split__zdiv-6, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem181(_u6517, _u6515, _u6513)), _u6517)) )).
% 12.53/12.71 cnf(fact_split__zdiv-7, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem180(_u6517, _u6515, _u6513))), skolem181(_u6517, _u6515, _u6513))) )).
% 12.53/12.71 cnf(fact_split__zdiv-8, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6513, skolem180(_u6517, _u6515, _u6513))) )).
% 12.53/12.71 cnf(fact_split__zdiv-9, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6517)) )).
% 12.53/12.71 cnf(fact_split__zdiv-10, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6513, 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)), skolem181(_u6517, _u6515, _u6513))) )).
% 12.53/12.71 cnf(fact_split__zdiv-11, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem181(_u6517, _u6515, _u6513)), _u6517)) )).
% 12.53/12.71 cnf(fact_split__zdiv-12, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem180(_u6517, _u6515, _u6513))), skolem181(_u6517, _u6515, _u6513))) )).
% 12.53/12.71 cnf(fact_split__zdiv-13, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6513, skolem180(_u6517, _u6515, _u6513))) )).
% 12.53/12.71 cnf(fact_split__zdiv-14, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), skolem183(_u6517, _u6515, _u6513))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6517)) )).
% 12.53/12.71 cnf(fact_split__zdiv-15, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), skolem183(_u6517, _u6515, _u6513))) | ( _u6517 = 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)), skolem181(_u6517, _u6515, _u6513))) )).
% 12.53/12.71 cnf(fact_split__zdiv-16, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), skolem183(_u6517, _u6515, _u6513))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem181(_u6517, _u6515, _u6513)), _u6517)) )).
% 12.53/12.71 cnf(fact_split__zdiv-17, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), skolem183(_u6517, _u6515, _u6513))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem180(_u6517, _u6515, _u6513))), skolem181(_u6517, _u6515, _u6513))) )).
% 12.53/12.71 cnf(fact_split__zdiv-18, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), skolem183(_u6517, _u6515, _u6513))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6513, skolem180(_u6517, _u6515, _u6513))) )).
% 12.53/12.71 cnf(fact_split__zdiv-19, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem183(_u6517, _u6515, _u6513)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6517)) )).
% 12.53/12.71 cnf(fact_split__zdiv-20, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem183(_u6517, _u6515, _u6513)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6517 = 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)), skolem181(_u6517, _u6515, _u6513))) )).
% 12.53/12.71 cnf(fact_split__zdiv-21, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem183(_u6517, _u6515, _u6513)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem181(_u6517, _u6515, _u6513)), _u6517)) )).
% 12.53/12.71 cnf(fact_split__zdiv-22, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem183(_u6517, _u6515, _u6513)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem180(_u6517, _u6515, _u6513))), skolem181(_u6517, _u6515, _u6513))) )).
% 12.53/12.71 cnf(fact_split__zdiv-23, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem183(_u6517, _u6515, _u6513)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6513, skolem180(_u6517, _u6515, _u6513))) )).
% 12.53/12.71 cnf(fact_split__zdiv-24, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem182(_u6517, _u6515, _u6513))), skolem183(_u6517, _u6515, _u6513))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6517)) )).
% 12.53/12.71 cnf(fact_split__zdiv-25, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem182(_u6517, _u6515, _u6513))), skolem183(_u6517, _u6515, _u6513))) | ( _u6517 = 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)), skolem181(_u6517, _u6515, _u6513))) )).
% 12.53/12.71 cnf(fact_split__zdiv-26, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem182(_u6517, _u6515, _u6513))), skolem183(_u6517, _u6515, _u6513))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem181(_u6517, _u6515, _u6513)), _u6517)) )).
% 12.53/12.71 cnf(fact_split__zdiv-27, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem182(_u6517, _u6515, _u6513))), skolem183(_u6517, _u6515, _u6513))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem180(_u6517, _u6515, _u6513))), skolem181(_u6517, _u6515, _u6513))) )).
% 12.53/12.71 cnf(fact_split__zdiv-28, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem182(_u6517, _u6515, _u6513))), skolem183(_u6517, _u6515, _u6513))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6513, skolem180(_u6517, _u6515, _u6513))) )).
% 12.53/12.71 cnf(fact_split__zdiv-29, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ~hBOOL(hAPP(_u6513, skolem182(_u6517, _u6515, _u6513))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6517)) )).
% 12.53/12.71 cnf(fact_split__zdiv-30, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ~hBOOL(hAPP(_u6513, skolem182(_u6517, _u6515, _u6513))) | ( _u6517 = 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)), skolem181(_u6517, _u6515, _u6513))) )).
% 12.53/12.71 cnf(fact_split__zdiv-31, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ~hBOOL(hAPP(_u6513, skolem182(_u6517, _u6515, _u6513))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem181(_u6517, _u6515, _u6513)), _u6517)) )).
% 12.53/12.71 cnf(fact_split__zdiv-32, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ~hBOOL(hAPP(_u6513, skolem182(_u6517, _u6515, _u6513))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem180(_u6517, _u6515, _u6513))), skolem181(_u6517, _u6515, _u6513))) )).
% 12.53/12.71 cnf(fact_split__zdiv-33, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ~hBOOL(hAPP(_u6513, skolem182(_u6517, _u6515, _u6513))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6513, skolem180(_u6517, _u6515, _u6513))) )).
% 12.53/12.71 cnf(fact_split__zdiv-34, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), skolem183(_u6517, _u6515, _u6513))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6517)) )).
% 12.53/12.71 cnf(fact_split__zdiv-35, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), skolem183(_u6517, _u6515, _u6513))) | ~hBOOL(hAPP(_u6513, 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)), skolem181(_u6517, _u6515, _u6513))) )).
% 12.53/12.71 cnf(fact_split__zdiv-36, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), skolem183(_u6517, _u6515, _u6513))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem181(_u6517, _u6515, _u6513)), _u6517)) )).
% 12.53/12.71 cnf(fact_split__zdiv-37, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), skolem183(_u6517, _u6515, _u6513))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem180(_u6517, _u6515, _u6513))), skolem181(_u6517, _u6515, _u6513))) )).
% 12.53/12.71 cnf(fact_split__zdiv-38, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), skolem183(_u6517, _u6515, _u6513))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6513, skolem180(_u6517, _u6515, _u6513))) )).
% 12.53/12.71 cnf(fact_split__zdiv-39, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem183(_u6517, _u6515, _u6513)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6517)) )).
% 12.53/12.71 cnf(fact_split__zdiv-40, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem183(_u6517, _u6515, _u6513)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6513, 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)), skolem181(_u6517, _u6515, _u6513))) )).
% 12.53/12.71 cnf(fact_split__zdiv-41, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem183(_u6517, _u6515, _u6513)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem181(_u6517, _u6515, _u6513)), _u6517)) )).
% 12.53/12.71 cnf(fact_split__zdiv-42, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem183(_u6517, _u6515, _u6513)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem180(_u6517, _u6515, _u6513))), skolem181(_u6517, _u6515, _u6513))) )).
% 12.53/12.71 cnf(fact_split__zdiv-43, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem183(_u6517, _u6515, _u6513)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6513, skolem180(_u6517, _u6515, _u6513))) )).
% 12.53/12.71 cnf(fact_split__zdiv-44, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem182(_u6517, _u6515, _u6513))), skolem183(_u6517, _u6515, _u6513))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6517)) )).
% 12.53/12.71 cnf(fact_split__zdiv-45, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem182(_u6517, _u6515, _u6513))), skolem183(_u6517, _u6515, _u6513))) | ~hBOOL(hAPP(_u6513, 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)), skolem181(_u6517, _u6515, _u6513))) )).
% 12.53/12.71 cnf(fact_split__zdiv-46, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem182(_u6517, _u6515, _u6513))), skolem183(_u6517, _u6515, _u6513))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem181(_u6517, _u6515, _u6513)), _u6517)) )).
% 12.53/12.71 cnf(fact_split__zdiv-47, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem182(_u6517, _u6515, _u6513))), skolem183(_u6517, _u6515, _u6513))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem180(_u6517, _u6515, _u6513))), skolem181(_u6517, _u6515, _u6513))) )).
% 12.53/12.71 cnf(fact_split__zdiv-48, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem182(_u6517, _u6515, _u6513))), skolem183(_u6517, _u6515, _u6513))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6513, skolem180(_u6517, _u6515, _u6513))) )).
% 12.53/12.71 cnf(fact_split__zdiv-49, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ~hBOOL(hAPP(_u6513, skolem182(_u6517, _u6515, _u6513))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6517)) )).
% 12.53/12.71 cnf(fact_split__zdiv-50, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ~hBOOL(hAPP(_u6513, skolem182(_u6517, _u6515, _u6513))) | ~hBOOL(hAPP(_u6513, 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)), skolem181(_u6517, _u6515, _u6513))) )).
% 12.53/12.71 cnf(fact_split__zdiv-51, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ~hBOOL(hAPP(_u6513, skolem182(_u6517, _u6515, _u6513))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem181(_u6517, _u6515, _u6513)), _u6517)) )).
% 12.53/12.71 cnf(fact_split__zdiv-52, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ~hBOOL(hAPP(_u6513, skolem182(_u6517, _u6515, _u6513))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem180(_u6517, _u6515, _u6513))), skolem181(_u6517, _u6515, _u6513))) )).
% 12.53/12.71 cnf(fact_split__zdiv-53, axiom, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ~hBOOL(hAPP(_u6513, skolem182(_u6517, _u6515, _u6513))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6513, skolem180(_u6517, _u6515, _u6513))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6518)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6519)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Nat__Transfer_Otsub(_u6518, _u6519))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zdiff__int__split ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zdiff__int__split-1, axiom, ( ~hBOOL(hAPP(_u6523, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6525), _u6527)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6527), _u6525)) | hBOOL(hAPP(_u6523, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6525)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6527)))) )).
% 12.53/12.71 cnf(fact_zdiff__int__split-2, axiom, ( ~hBOOL(hAPP(_u6523, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6525), _u6527)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6525), _u6527)) | hBOOL(hAPP(_u6523, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71 cnf(fact_zdiff__int__split-3, axiom, ( hBOOL(hAPP(_u6524, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6526), _u6528)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6528), _u6526)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6526), _u6528)) )).
% 12.53/12.71 cnf(fact_zdiff__int__split-4, axiom, ( hBOOL(hAPP(_u6524, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6526), _u6528)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6528), _u6526)) | ~hBOOL(hAPP(_u6524, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71 cnf(fact_zdiff__int__split-5, axiom, ( hBOOL(hAPP(_u6524, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6526), _u6528)))) | ~hBOOL(hAPP(_u6524, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6526)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6528)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6526), _u6528)) )).
% 12.53/12.71 cnf(fact_zdiff__int__split-6, axiom, ( hBOOL(hAPP(_u6524, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6526), _u6528)))) | ~hBOOL(hAPP(_u6524, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6526)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6528)))) | ~hBOOL(hAPP(_u6524, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_tsub__eq ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_tsub__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6529), _u6530)) | ( c_Nat__Transfer_Otsub(_u6530, _u6529) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6530), _u6529)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_z3div__def ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6533)) | ( c_SMT_Oz3div(_u6535, _u6533) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6535), _u6533)) )).
% 12.53/12.71 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)), _u6534)) | ( c_SMT_Oz3div(_u6536, _u6534) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6536), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6534)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_setsum__bounded ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_setsum__bounded-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u6538) | ~class_Rings_Osemiring__1(_u6538) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6538), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6539, _u6538), _u6541), _u6540)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6538), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6538), hAPP(c_Finite__Set_Ocard(_u6539), _u6540))), _u6542))) | hBOOL(hAPP(hAPP(c_member(_u6539), skolem184(_u6542, _u6541, _u6540, _u6539, _u6538)), _u6540)) )).
% 12.53/12.71 cnf(fact_setsum__bounded-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u6538) | ~class_Rings_Osemiring__1(_u6538) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6538), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6539, _u6538), _u6541), _u6540)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6538), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6538), hAPP(c_Finite__Set_Ocard(_u6539), _u6540))), _u6542))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6538), hAPP(_u6541, skolem184(_u6542, _u6541, _u6540, _u6539, _u6538))), _u6542)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__pos__neg__trivial ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6543)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6543), _u6544)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6543), _u6544) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_split__neg__lemma ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_split__neg__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6549), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(_u6550, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6551), _u6549)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6551, _u6549))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6549), _u6545)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6545), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6551 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6549), _u6546)), _u6545)) | hBOOL(hAPP(hAPP(_u6550, _u6546), _u6545)) )).
% 12.53/12.71 cnf(fact_split__neg__lemma-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6549), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u6550, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6551), _u6549)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6551, _u6549))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6549), skolem186(_u6551, _u6550, _u6549))) )).
% 12.53/12.71 cnf(fact_split__neg__lemma-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6549), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u6550, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6551), _u6549)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6551, _u6549))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem186(_u6551, _u6550, _u6549)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71 cnf(fact_split__neg__lemma-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6549), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u6550, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6551), _u6549)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6551, _u6549))) | ( _u6551 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6549), skolem185(_u6551, _u6550, _u6549))), skolem186(_u6551, _u6550, _u6549))) )).
% 12.53/12.71 cnf(fact_split__neg__lemma-5, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6549), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u6550, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6551), _u6549)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6551, _u6549))) | ~hBOOL(hAPP(hAPP(_u6550, skolem185(_u6551, _u6550, _u6549)), skolem186(_u6551, _u6550, _u6549))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_split__pos__lemma ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6556)) | ~hBOOL(hAPP(hAPP(_u6557, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6558), _u6556)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6558, _u6556))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6552)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6552), _u6556)) | ( _u6558 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6556), _u6553)), _u6552)) | hBOOL(hAPP(hAPP(_u6557, _u6553), _u6552)) )).
% 12.53/12.71 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)), _u6556)) | hBOOL(hAPP(hAPP(_u6557, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6558), _u6556)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6558, _u6556))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem188(_u6558, _u6557, _u6556))) )).
% 12.53/12.71 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)), _u6556)) | hBOOL(hAPP(hAPP(_u6557, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6558), _u6556)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6558, _u6556))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem188(_u6558, _u6557, _u6556)), _u6556)) )).
% 12.53/12.71 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)), _u6556)) | hBOOL(hAPP(hAPP(_u6557, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6558), _u6556)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6558, _u6556))) | ( _u6558 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6556), skolem187(_u6558, _u6557, _u6556))), skolem188(_u6558, _u6557, _u6556))) )).
% 12.53/12.71 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)), _u6556)) | hBOOL(hAPP(hAPP(_u6557, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6558), _u6556)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6558, _u6556))) | ~hBOOL(hAPP(hAPP(_u6557, skolem187(_u6558, _u6557, _u6556)), skolem188(_u6558, _u6557, _u6556))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__nat__number__of__eq ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__nat__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u6559) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6560))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6559), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6560)) = c_Groups_Ozero__class_Ozero(_u6559)) )).
% 12.53/12.71 cnf(fact_of__nat__number__of__eq-2, axiom, ( ~class_Int_Onumber__ring(_u6559) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6560))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6559), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6560)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6559), _u6560)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_transfer__nat__int__set__relations_I3_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_transfer__nat__int__set__relations_I3_J-1, axiom, ( ( _u6563 != _u6565) | ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6563) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6565)) )).
% 12.53/12.71 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)), _u6564) != hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6566)) | ( _u6564 = _u6566) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_transfer__int__nat__relations_I1_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_transfer__int__nat__relations_I1_J-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6569) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6571)) | ( _u6569 = _u6571) )).
% 12.53/12.71 cnf(fact_transfer__int__nat__relations_I1_J-2, axiom, ( ( _u6570 != _u6572) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6570) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6572)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_transfer__nat__int__set__relations_I4_J ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6575), _u6577)) | 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)), _u6575)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6577))) )).
% 12.53/12.71 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)), _u6576)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6578))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u6576), _u6578)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_int__int__eq ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_int__int__eq-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6581) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6583)) | ( _u6581 = _u6583) )).
% 12.53/12.71 cnf(fact_int__int__eq-2, axiom, ( ( _u6582 != _u6584) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6582) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6584)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_not__neg__int ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_not__neg__int-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6585))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__0 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__0-1, axiom, ( ~class_Divides_Osemiring__div(_u6586) | ( c_Divides_Odiv__class_Omod(_u6586, c_Groups_Ozero__class_Ozero(_u6586), _u6587) = c_Groups_Ozero__class_Ozero(_u6586)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__by__0 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__by__0-1, axiom, ( ~class_Divides_Osemiring__div(_u6588) | ( c_Divides_Odiv__class_Omod(_u6588, _u6589, c_Groups_Ozero__class_Ozero(_u6588)) = _u6589) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__self ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__self-1, axiom, ( ~class_Divides_Osemiring__div(_u6590) | ( c_Divides_Odiv__class_Omod(_u6590, _u6591, _u6591) = c_Groups_Ozero__class_Ozero(_u6590)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_neg__number__of__Min ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_neg__number__of__Min-1, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zmod__minus1__right ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zmod__minus1__right-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6592, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__mod__trivial ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__mod__trivial-1, axiom, ( ~class_Divides_Osemiring__div(_u6593) | ( c_Divides_Odiv__class_Omod(_u6593, c_Divides_Odiv__class_Omod(_u6593, _u6594, _u6595), _u6595) = c_Divides_Odiv__class_Omod(_u6593, _u6594, _u6595)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__add__self2 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__add__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u6596) | ( c_Divides_Odiv__class_Omod(_u6596, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6596), _u6597), _u6598), _u6598) = c_Divides_Odiv__class_Omod(_u6596, _u6597, _u6598)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__add__self1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__add__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u6599) | ( c_Divides_Odiv__class_Omod(_u6599, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6599), _u6600), _u6601), _u6600) = c_Divides_Odiv__class_Omod(_u6599, _u6601, _u6600)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__add__right__eq ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__add__right__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u6602) | ( c_Divides_Odiv__class_Omod(_u6602, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6602), _u6603), _u6604), _u6605) = c_Divides_Odiv__class_Omod(_u6602, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6602), _u6603), c_Divides_Odiv__class_Omod(_u6602, _u6604, _u6605)), _u6605)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__add__left__eq ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__add__left__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u6606) | ( c_Divides_Odiv__class_Omod(_u6606, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6606), _u6607), _u6608), _u6609) = c_Divides_Odiv__class_Omod(_u6606, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6606), c_Divides_Odiv__class_Omod(_u6606, _u6607, _u6609)), _u6608), _u6609)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__add__eq ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__add__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u6610) | ( c_Divides_Odiv__class_Omod(_u6610, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6610), _u6611), _u6612), _u6613) = c_Divides_Odiv__class_Omod(_u6610, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6610), c_Divides_Odiv__class_Omod(_u6610, _u6611, _u6613)), c_Divides_Odiv__class_Omod(_u6610, _u6612, _u6613)), _u6613)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zmod__simps_I2_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zmod__simps_I2_J-1, axiom, ( ~class_Divides_Osemiring__div(_u6614) | ( c_Divides_Odiv__class_Omod(_u6614, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6614), _u6615), c_Divides_Odiv__class_Omod(_u6614, _u6616, _u6617)), _u6617) = c_Divides_Odiv__class_Omod(_u6614, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6614), _u6615), _u6616), _u6617)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zmod__simps_I1_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zmod__simps_I1_J-1, axiom, ( ~class_Divides_Osemiring__div(_u6618) | ( c_Divides_Odiv__class_Omod(_u6618, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6618), c_Divides_Odiv__class_Omod(_u6618, _u6619, _u6620)), _u6621), _u6620) = c_Divides_Odiv__class_Omod(_u6618, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6618), _u6619), _u6621), _u6620)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__add__cong ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__add__cong-1, axiom, ( ~class_Divides_Osemiring__div(_u6622) | ( c_Divides_Odiv__class_Omod(_u6622, _u6623, _u6624) != c_Divides_Odiv__class_Omod(_u6622, _u6625, _u6624)) | ( c_Divides_Odiv__class_Omod(_u6622, _u6626, _u6624) != c_Divides_Odiv__class_Omod(_u6622, _u6627, _u6624)) | ( c_Divides_Odiv__class_Omod(_u6622, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6622), _u6623), _u6626), _u6624) = c_Divides_Odiv__class_Omod(_u6622, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6622), _u6625), _u6627), _u6624)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__mult__right__eq ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__mult__right__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u6628) | ( c_Divides_Odiv__class_Omod(_u6628, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6628), _u6629), _u6630), _u6631) = c_Divides_Odiv__class_Omod(_u6628, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6628), _u6629), c_Divides_Odiv__class_Omod(_u6628, _u6630, _u6631)), _u6631)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__mult__left__eq ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__mult__left__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u6632) | ( c_Divides_Odiv__class_Omod(_u6632, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6632), _u6633), _u6634), _u6635) = c_Divides_Odiv__class_Omod(_u6632, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6632), c_Divides_Odiv__class_Omod(_u6632, _u6633, _u6635)), _u6634), _u6635)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__mult__eq ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__mult__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u6636) | ( c_Divides_Odiv__class_Omod(_u6636, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6636), _u6637), _u6638), _u6639) = c_Divides_Odiv__class_Omod(_u6636, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6636), c_Divides_Odiv__class_Omod(_u6636, _u6637, _u6639)), c_Divides_Odiv__class_Omod(_u6636, _u6638, _u6639)), _u6639)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__mult__mult1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__mult__mult1-1, axiom, ( ~class_Divides_Osemiring__div(_u6640) | ( c_Divides_Odiv__class_Omod(_u6640, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6640), _u6641), _u6642), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6640), _u6641), _u6643)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6640), _u6641), c_Divides_Odiv__class_Omod(_u6640, _u6642, _u6643))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__mult__mult2 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__mult__mult2-1, axiom, ( ~class_Divides_Osemiring__div(_u6644) | ( c_Divides_Odiv__class_Omod(_u6644, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6644), _u6645), _u6646), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6644), _u6647), _u6646)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6644), c_Divides_Odiv__class_Omod(_u6644, _u6645, _u6647)), _u6646)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zmod__simps_I4_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zmod__simps_I4_J-1, axiom, ( ~class_Divides_Osemiring__div(_u6648) | ( c_Divides_Odiv__class_Omod(_u6648, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6648), c_Divides_Odiv__class_Omod(_u6648, _u6649, _u6650)), _u6651), _u6650) = c_Divides_Odiv__class_Omod(_u6648, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6648), _u6649), _u6651), _u6650)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__mult__cong ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__mult__cong-1, axiom, ( ~class_Divides_Osemiring__div(_u6652) | ( c_Divides_Odiv__class_Omod(_u6652, _u6653, _u6654) != c_Divides_Odiv__class_Omod(_u6652, _u6655, _u6654)) | ( c_Divides_Odiv__class_Omod(_u6652, _u6656, _u6654) != c_Divides_Odiv__class_Omod(_u6652, _u6657, _u6654)) | ( c_Divides_Odiv__class_Omod(_u6652, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6652), _u6653), _u6656), _u6654) = c_Divides_Odiv__class_Omod(_u6652, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6652), _u6655), _u6657), _u6654)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__diff__cong ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__diff__cong-1, axiom, ( ~class_Divides_Oring__div(_u6658) | ( c_Divides_Odiv__class_Omod(_u6658, _u6659, _u6660) != c_Divides_Odiv__class_Omod(_u6658, _u6661, _u6660)) | ( c_Divides_Odiv__class_Omod(_u6658, _u6662, _u6660) != c_Divides_Odiv__class_Omod(_u6658, _u6663, _u6660)) | ( c_Divides_Odiv__class_Omod(_u6658, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6658), _u6659), _u6662), _u6660) = c_Divides_Odiv__class_Omod(_u6658, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6658), _u6661), _u6663), _u6660)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__diff__eq ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__diff__eq-1, axiom, ( ~class_Divides_Oring__div(_u6664) | ( c_Divides_Odiv__class_Omod(_u6664, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6664), _u6665), _u6666), _u6667) = c_Divides_Odiv__class_Omod(_u6664, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6664), c_Divides_Odiv__class_Omod(_u6664, _u6665, _u6667)), c_Divides_Odiv__class_Omod(_u6664, _u6666, _u6667)), _u6667)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__diff__left__eq ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__diff__left__eq-1, axiom, ( ~class_Divides_Oring__div(_u6668) | ( c_Divides_Odiv__class_Omod(_u6668, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6668), _u6669), _u6670), _u6671) = c_Divides_Odiv__class_Omod(_u6668, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6668), c_Divides_Odiv__class_Omod(_u6668, _u6669, _u6671)), _u6670), _u6671)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__diff__right__eq ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__diff__right__eq-1, axiom, ( ~class_Divides_Oring__div(_u6672) | ( c_Divides_Odiv__class_Omod(_u6672, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6672), _u6673), _u6674), _u6675) = c_Divides_Odiv__class_Omod(_u6672, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6672), _u6673), c_Divides_Odiv__class_Omod(_u6672, _u6674, _u6675)), _u6675)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__minus__cong ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__minus__cong-1, axiom, ( ~class_Divides_Oring__div(_u6676) | ( c_Divides_Odiv__class_Omod(_u6676, _u6677, _u6678) != c_Divides_Odiv__class_Omod(_u6676, _u6679, _u6678)) | ( c_Divides_Odiv__class_Omod(_u6676, hAPP(c_Groups_Ouminus__class_Ouminus(_u6676), _u6677), _u6678) = c_Divides_Odiv__class_Omod(_u6676, hAPP(c_Groups_Ouminus__class_Ouminus(_u6676), _u6679), _u6678)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__minus__eq ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__minus__eq-1, axiom, ( ~class_Divides_Oring__div(_u6680) | ( c_Divides_Odiv__class_Omod(_u6680, hAPP(c_Groups_Ouminus__class_Ouminus(_u6680), _u6681), _u6682) = c_Divides_Odiv__class_Omod(_u6680, hAPP(c_Groups_Ouminus__class_Ouminus(_u6680), c_Divides_Odiv__class_Omod(_u6680, _u6681, _u6682)), _u6682)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__le__dividend ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6683), _u6684)), _u6683)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__le__mono ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_div__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6685), _u6686)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6685), _u6687)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6686), _u6687))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__mult2__eq ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_div__mult2__eq-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6688), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6689), _u6690)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6688), _u6689)), _u6690)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zmod__self ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zmod__self-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6691, _u6691) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zmod__zero ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zmod__zero-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u6692) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zdiv__int ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6693), _u6694)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6693)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6694))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Divides_Otransfer__int__nat__functions_I1_J ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6695)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6696)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6695), _u6696))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I24_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I24_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I7_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I7_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zmod__zmult1__eq ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6697), _u6698), _u6699) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6697), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6698, _u6699)), _u6699)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zmod__simps_I3_J ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6700), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6701, _u6702)), _u6702) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6700), _u6701), _u6702)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zdiff__zmod__right ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6703), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6704, _u6705)), _u6705) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6703), _u6704), _u6705)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zdiff__zmod__left ( axiom ) converted to clauses:
% 12.53/12.71 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, _u6706, _u6707)), _u6708), _u6707) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6706), _u6708), _u6707)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zmod__zminus2 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zmod__zminus2-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6709, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6710)) = 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), _u6709), _u6710))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zmod__zminus__zminus ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zmod__zminus__zminus-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6711), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6712)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6711, _u6712))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zminus__zmod ( axiom ) converted to clauses:
% 12.53/12.71 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, _u6713, _u6714)), _u6714) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6713), _u6714)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zpower__zmod ( axiom ) converted to clauses:
% 12.53/12.71 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, _u6715, _u6716)), _u6717), _u6716) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6715), _u6717), _u6716)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_eq__int__code_I6_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_eq__int__code_I6_J-1, axiom, ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_not__neg__0 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_not__neg__0-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_not__neg__1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_not__neg__1-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__mult__self1__is__0 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__mult__self1__is__0-1, axiom, ( ~class_Divides_Osemiring__div(_u6718) | ( c_Divides_Odiv__class_Omod(_u6718, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6718), _u6719), _u6720), _u6719) = c_Groups_Ozero__class_Ozero(_u6718)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__mult__self2__is__0 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__mult__self2__is__0-1, axiom, ( ~class_Divides_Osemiring__div(_u6721) | ( c_Divides_Odiv__class_Omod(_u6721, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6721), _u6722), _u6723), _u6723) = c_Groups_Ozero__class_Ozero(_u6721)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__mult__self2 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__mult__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u6724) | ( c_Divides_Odiv__class_Omod(_u6724, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6724), _u6725), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6724), _u6726), _u6727)), _u6726) = c_Divides_Odiv__class_Omod(_u6724, _u6725, _u6726)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__mult__self1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__mult__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u6728) | ( c_Divides_Odiv__class_Omod(_u6728, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6728), _u6729), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6728), _u6730), _u6731)), _u6731) = c_Divides_Odiv__class_Omod(_u6728, _u6729, _u6731)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__by__1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__by__1-1, axiom, ( ~class_Divides_Osemiring__div(_u6732) | ( c_Divides_Odiv__class_Omod(_u6732, _u6733, c_Groups_Oone__class_Oone(_u6732)) = c_Groups_Ozero__class_Ozero(_u6732)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__div__trivial ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__div__trivial-1, axiom, ( ~class_Divides_Osemiring__div(_u6734) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6734), c_Divides_Odiv__class_Omod(_u6734, _u6735, _u6736)), _u6736) = c_Groups_Ozero__class_Ozero(_u6734)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_div__1-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6737), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = _u6737) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__less ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_div__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6738), _u6739)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6738), _u6739) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__mult__div__cancel__disj ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_nat__mult__div__cancel__disj-1, axiom, ( ( _u6743 != 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), _u6743), _u6745)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6743), _u6747)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71 cnf(fact_nat__mult__div__cancel__disj-2, axiom, ( ( _u6744 = 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), _u6744), _u6746)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6744), _u6748)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6746), _u6748)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Divides_Otransfer__nat__int__function__closures_I2_J ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6749)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6750)) | 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, _u6749, _u6750))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zmod__le__nonneg__dividend ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6751)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6751, _u6752)), _u6751)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_neg__mod__bound ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_neg__mod__bound-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6753), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6753), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6754, _u6753))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_pos__mod__bound ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6755)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6756, _u6755)), _u6755)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zmod__eq__0__iff ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zmod__eq__0__iff-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6761, _u6763) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6761 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6763), skolem189(_u6763, _u6761))) )).
% 12.53/12.71 cnf(fact_zmod__eq__0__iff-2, axiom, ( ( _u6762 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6764), _u6758)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6762, _u6764) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_bin__less__0__simps_I2_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_bin__less__0__simps_I2_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zmod__zminus2__not__zero ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zmod__zminus2__not__zero-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6765, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6766)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6765, _u6766) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zmod__zminus1__not__zero ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6767), _u6768) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6767, _u6768) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_DIVISION__BY__ZERO ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_DIVISION__BY__ZERO-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6770), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.71 cnf(fact_DIVISION__BY__ZERO-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6771, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u6771) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zmod__zdiv__trivial ( axiom ) converted to clauses:
% 12.53/12.71 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, _u6772, _u6773)), _u6773) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zdiv__zadd1__eq ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6774), _u6775)), _u6776) = 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), _u6774), _u6776)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6775), _u6776))), 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, _u6774, _u6776)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6775, _u6776))), _u6776))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Int_OMin__def ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Int_OMin__def-1, axiom, ( ( c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mult__Min ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mult__Min-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OMin), _u6777) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6777)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zmod__minus1 ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6778)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u6778) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6778), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_not__neg__eq__ge__0 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_not__neg__eq__ge__0-1, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u6780)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6780)) )).
% 12.53/12.71 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)), _u6781)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u6781)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_neg__def ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_neg__def-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u6783)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6783), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71 cnf(fact_neg__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6784), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, _u6784)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_neg__zminus__int ( axiom ) converted to clauses:
% 12.53/12.71 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, _u6785))))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__mod__equality ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_div__mod__equality-1, axiom, ( ~class_Divides_Osemiring__div(_u6786) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6786), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6786), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6786), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6786), _u6787), _u6788)), _u6788)), c_Divides_Odiv__class_Omod(_u6786, _u6787, _u6788))), _u6789) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6786), _u6787), _u6789)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__mod__equality2 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_div__mod__equality2-1, axiom, ( ~class_Divides_Osemiring__div(_u6790) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6790), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6790), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6790), _u6791), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6790), _u6792), _u6791))), c_Divides_Odiv__class_Omod(_u6790, _u6792, _u6791))), _u6793) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6790), _u6792), _u6793)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__div__equality ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__div__equality-1, axiom, ( ~class_Divides_Osemiring__div(_u6794) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6794), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6794), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6794), _u6795), _u6796)), _u6796)), c_Divides_Odiv__class_Omod(_u6794, _u6795, _u6796)) = _u6795) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__div__equality2 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__div__equality2-1, axiom, ( ~class_Divides_Osemiring__div(_u6797) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6797), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6797), _u6798), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6797), _u6799), _u6798))), c_Divides_Odiv__class_Omod(_u6797, _u6799, _u6798)) = _u6799) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_semiring__div__class_Omod__div__equality_H ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_semiring__div__class_Omod__div__equality_H-1, axiom, ( ~class_Divides_Osemiring__div(_u6800) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6800), c_Divides_Odiv__class_Omod(_u6800, _u6801, _u6802)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6800), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6800), _u6801), _u6802)), _u6802)) = _u6801) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__le__mono2 ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6803)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6803), _u6804)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6805), _u6804)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6805), _u6803))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__mult__div__cancel1 ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6806)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6806), _u6807)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6806), _u6808)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6807), _u6808)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__mult__self1__is__m ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6809)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6809), _u6810)), _u6809) = _u6810) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__mult__self__is__m ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6811)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6812), _u6811)), _u6811) = _u6812) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__less__dividend ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6813)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6814)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6814), _u6813)), _u6814)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mult__minus1__right ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mult__minus1__right-1, axiom, ( ~class_Int_Onumber__ring(_u6815) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6815), _u6816), hAPP(c_Int_Onumber__class_Onumber__of(_u6815), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6815), _u6816)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mult__minus1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mult__minus1-1, axiom, ( ~class_Int_Onumber__ring(_u6817) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6817), hAPP(c_Int_Onumber__class_Onumber__of(_u6817), c_Int_OMin)), _u6818) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6817), _u6818)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__neg__neg__trivial ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__neg__neg__trivial-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6819), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6820), _u6819)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6819, _u6820) = _u6819) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_neg__mod__conj ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_neg__mod__conj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6821), 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, _u6822, _u6821)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71 cnf(fact_neg__mod__conj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6821), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6821), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6822, _u6821))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_neg__mod__sign ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_neg__mod__sign-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6823), 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, _u6824, _u6823)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__pos__pos__trivial ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6825)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6825), _u6826)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6825, _u6826) = _u6825) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_pos__mod__conj ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6827)) | 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, _u6828, _u6827))) )).
% 12.53/12.71 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)), _u6827)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6828, _u6827)), _u6827)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_pos__mod__sign ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6829)) | 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, _u6830, _u6829))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_number__of__Min ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_number__of__Min-1, axiom, ( ~class_Int_Onumber__ring(_u6831) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u6831), c_Int_OMin) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6831), c_Groups_Oone__class_Oone(_u6831))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_arith__simps_I31_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_arith__simps_I31_J-1, axiom, ( ~class_Int_Onumber__ring(_u6832) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6832), c_Groups_Oone__class_Oone(_u6832)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6832), c_Int_OMin)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_divide__minus1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_divide__minus1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u6833) | ~class_Int_Onumber__ring(_u6833) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6833), _u6834), hAPP(c_Int_Onumber__class_Onumber__of(_u6833), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6833), _u6834)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zmod__zminus2__eq__if ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zmod__zminus2__eq__if-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6837, _u6839) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6837, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6839)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.71 cnf(fact_zmod__zminus2__eq__if-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6838, _u6840) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6838, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6840)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6838, _u6840)), _u6840)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zmod__zminus1__eq__if ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zmod__zminus1__eq__if-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6843, _u6845) != 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), _u6843), _u6845) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.71 cnf(fact_zmod__zminus1__eq__if-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6844, _u6846) = 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), _u6844), _u6846) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6846), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6844, _u6846))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zmod__zdiv__equality ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zmod__zdiv__equality-1, axiom, ( ( _u6847 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6848), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6847), _u6848))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6847, _u6848))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zdiv__zmult1__eq ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6849), _u6850)), _u6851) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6849), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6850), _u6851))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6849), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6850, _u6851))), _u6851))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zdiv__zmod__equality ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6852), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6853), _u6852))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6853, _u6852))), _u6854) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6853), _u6854)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zdiv__zmod__equality2 ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6855), _u6856)), _u6856)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6855, _u6856))), _u6857) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6855), _u6857)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_pos__zmult__eq__1__iff__lemma ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_pos__zmult__eq__1__iff__lemma-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6858), _u6859) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6858 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6858 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zmult__eq__1__iff ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zmult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6862), _u6864) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6862 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6862 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.53/12.71 cnf(fact_zmult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6862), _u6864) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6862 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6864 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.53/12.71 cnf(fact_zmult__eq__1__iff-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6862), _u6864) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6864 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6862 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.53/12.71 cnf(fact_zmult__eq__1__iff-4, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6862), _u6864) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6864 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6864 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.53/12.71 cnf(fact_zmult__eq__1__iff-5, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6863), _u6865) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6863 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6865 != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.53/12.71 cnf(fact_zmult__eq__1__iff-6, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6863), _u6865) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6863 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) | ( _u6865 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zmult__div__cancel ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zmult__div__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6866), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6867), _u6866)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6867), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6867, _u6866))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zmod__zdiv__equality_H ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zmod__zdiv__equality_H-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6868, _u6869) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6868), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6868), _u6869)), _u6869))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zdiv__minus1__right ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zdiv__minus1__right-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6870), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6870)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_neg__imp__number__of__eq__0 ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6871))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6871) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_int__nat__number__of ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_int__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6873))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6873)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.71 cnf(fact_int__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6874))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6874)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6874)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__geq ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6875)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6876), _u6875)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6876), _u6875) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6876), _u6875)), _u6875))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__if ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6877)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6878), _u6877)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6878), _u6877) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71 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)), _u6877)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6878), _u6877)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6878), _u6877) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6878), _u6877)), _u6877))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_split__div ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_split__div-1, axiom, ( ~hBOOL(hAPP(_u6886, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6888), _u6890))) | ( _u6890 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u6886, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.53/12.71 cnf(fact_split__div-2, axiom, ( ~hBOOL(hAPP(_u6886, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6888), _u6890))) | ( _u6890 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6879), _u6890)) | ( _u6888 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6890), _u6880)), _u6879)) | hBOOL(hAPP(_u6886, _u6880)) )).
% 12.53/12.71 cnf(fact_split__div-3, axiom, ( hBOOL(hAPP(_u6887, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6889), _u6891))) | ( _u6891 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem191(_u6891, _u6889, _u6887)), _u6891)) )).
% 12.53/12.71 cnf(fact_split__div-4, axiom, ( hBOOL(hAPP(_u6887, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6889), _u6891))) | ( _u6891 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6889 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6891), skolem190(_u6891, _u6889, _u6887))), skolem191(_u6891, _u6889, _u6887))) )).
% 12.53/12.71 cnf(fact_split__div-5, axiom, ( hBOOL(hAPP(_u6887, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6889), _u6891))) | ( _u6891 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u6887, skolem190(_u6891, _u6889, _u6887))) )).
% 12.53/12.71 cnf(fact_split__div-6, axiom, ( hBOOL(hAPP(_u6887, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6889), _u6891))) | ~hBOOL(hAPP(_u6887, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6891 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71 cnf(fact_split__div-7, axiom, ( hBOOL(hAPP(_u6887, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6889), _u6891))) | ~hBOOL(hAPP(_u6887, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem191(_u6891, _u6889, _u6887)), _u6891)) )).
% 12.53/12.71 cnf(fact_split__div-8, axiom, ( hBOOL(hAPP(_u6887, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6889), _u6891))) | ~hBOOL(hAPP(_u6887, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6889 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6891), skolem190(_u6891, _u6889, _u6887))), skolem191(_u6891, _u6889, _u6887))) )).
% 12.53/12.71 cnf(fact_split__div-9, axiom, ( hBOOL(hAPP(_u6887, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6889), _u6891))) | ~hBOOL(hAPP(_u6887, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u6887, skolem190(_u6891, _u6889, _u6887))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__pos__neg__trivial ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6892)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6892), _u6893)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6892, _u6893) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6892), _u6893)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_minus1__divide ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_minus1__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u6894) | ~class_Int_Onumber__ring(_u6894) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6894), hAPP(c_Int_Onumber__class_Onumber__of(_u6894), c_Int_OMin)), _u6895) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6894), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6894), c_Groups_Oone__class_Oone(_u6894)), _u6895))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__eq__minus1 ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6896)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), _u6896) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_le__div__geq ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6897)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6897), _u6898)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6898), _u6897) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6898), _u6897)), _u6897))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_split__div__lemma ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6899)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6899), _u6900)), _u6901)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6901), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6899), hAPP(c_Nat_OSuc, _u6900)))) | ( _u6900 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6901), _u6899)) )).
% 12.53/12.71 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)), _u6899)) | ( _u6900 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6901), _u6899)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6899), _u6900)), _u6901)) )).
% 12.53/12.71 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)), _u6899)) | ( _u6900 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6901), _u6899)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6901), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6899), hAPP(c_Nat_OSuc, _u6900)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_split__div_H ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_split__div_H-1, axiom, ( ~hBOOL(hAPP(_u6907, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6909), _u6911))) | ( _u6911 = 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), _u6911), skolem192(_u6911, _u6909, _u6907))), _u6909)) )).
% 12.53/12.71 cnf(fact_split__div_H-2, axiom, ( ~hBOOL(hAPP(_u6907, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6909), _u6911))) | ( _u6911 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6909), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6911), hAPP(c_Nat_OSuc, skolem192(_u6911, _u6909, _u6907))))) )).
% 12.53/12.71 cnf(fact_split__div_H-3, axiom, ( ~hBOOL(hAPP(_u6907, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6909), _u6911))) | ( _u6911 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u6907, skolem192(_u6911, _u6909, _u6907))) )).
% 12.53/12.71 cnf(fact_split__div_H-4, axiom, ( ~hBOOL(hAPP(_u6907, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6909), _u6911))) | hBOOL(hAPP(_u6907, 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), _u6911), skolem192(_u6911, _u6909, _u6907))), _u6909)) )).
% 12.53/12.71 cnf(fact_split__div_H-5, axiom, ( ~hBOOL(hAPP(_u6907, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6909), _u6911))) | hBOOL(hAPP(_u6907, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6909), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6911), hAPP(c_Nat_OSuc, skolem192(_u6911, _u6909, _u6907))))) )).
% 12.53/12.71 cnf(fact_split__div_H-6, axiom, ( ~hBOOL(hAPP(_u6907, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6909), _u6911))) | hBOOL(hAPP(_u6907, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u6907, skolem192(_u6911, _u6909, _u6907))) )).
% 12.53/12.71 cnf(fact_split__div_H-7, axiom, ( hBOOL(hAPP(_u6908, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6910), _u6912))) | ( _u6912 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u6908, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.53/12.71 cnf(fact_split__div_H-8, axiom, ( hBOOL(hAPP(_u6908, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6910), _u6912))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6912), _u6903)), _u6910)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6910), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6912), hAPP(c_Nat_OSuc, _u6903)))) | ~hBOOL(hAPP(_u6908, _u6903)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_eq__nat__number__of ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_eq__nat__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6915) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6917)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6915))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6917)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71 cnf(fact_eq__nat__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6915) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6917)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6915))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6917))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6915) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.71 cnf(fact_eq__nat__number__of-3, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6915) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6917)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6915))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6917))) | ( _u6915 = _u6917) )).
% 12.53/12.71 cnf(fact_eq__nat__number__of-4, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6916) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6918)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6916))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6918))) | ( _u6916 != _u6918) )).
% 12.53/12.71 cnf(fact_eq__nat__number__of-5, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6916) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6918)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6916))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6916) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6918))) )).
% 12.53/12.71 cnf(fact_eq__nat__number__of-6, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6916) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6918)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6916))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6916) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6916 != _u6918) )).
% 12.53/12.71 cnf(fact_eq__nat__number__of-7, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6916) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6918)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6918)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6916))) )).
% 12.53/12.71 cnf(fact_eq__nat__number__of-8, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6916) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6918)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6918)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6918))) | ( _u6916 != _u6918) )).
% 12.53/12.71 cnf(fact_eq__nat__number__of-9, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6916) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6918)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6918)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6916) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6918))) )).
% 12.53/12.71 cnf(fact_eq__nat__number__of-10, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6916) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6918)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6918)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6916) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6916 != _u6918) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__number__of__add__left ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6922))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6922)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6924)), _u6926)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6924)), _u6926)) )).
% 12.53/12.71 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), _u6923))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6925))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6923)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6925)), _u6927)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6923)), _u6927)) )).
% 12.53/12.71 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), _u6923))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6925))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6923)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6925)), _u6927)) = 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), _u6923), _u6925))), _u6927)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_split__zmod ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_split__zmod-1, axiom, ( ~hBOOL(hAPP(_u6939, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6941, _u6943))) | ( _u6943 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u6939, _u6941)) )).
% 12.53/12.71 cnf(fact_split__zmod-2, axiom, ( ~hBOOL(hAPP(_u6939, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6941, _u6943))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6943)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6928)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6928), _u6943)) | ( _u6941 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6943), _u6929)), _u6928)) | hBOOL(hAPP(_u6939, _u6928)) )).
% 12.53/12.71 cnf(fact_split__zmod-3, axiom, ( ~hBOOL(hAPP(_u6939, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6941, _u6943))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6943), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6943), _u6930)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6930), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6941 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6943), _u6931)), _u6930)) | hBOOL(hAPP(_u6939, _u6930)) )).
% 12.53/12.71 cnf(fact_split__zmod-4, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6944)) )).
% 12.53/12.71 cnf(fact_split__zmod-5, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6944 = 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)), skolem194(_u6944, _u6942, _u6940))) )).
% 12.53/12.71 cnf(fact_split__zmod-6, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem194(_u6944, _u6942, _u6940)), _u6944)) )).
% 12.53/12.71 cnf(fact_split__zmod-7, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem193(_u6944, _u6942, _u6940))), skolem194(_u6944, _u6942, _u6940))) )).
% 12.53/12.71 cnf(fact_split__zmod-8, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6940, skolem194(_u6944, _u6942, _u6940))) )).
% 12.53/12.71 cnf(fact_split__zmod-9, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6940, _u6942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6944)) )).
% 12.53/12.71 cnf(fact_split__zmod-10, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6940, _u6942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem194(_u6944, _u6942, _u6940))) )).
% 12.53/12.71 cnf(fact_split__zmod-11, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6940, _u6942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem194(_u6944, _u6942, _u6940)), _u6944)) )).
% 12.53/12.71 cnf(fact_split__zmod-12, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6940, _u6942)) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem193(_u6944, _u6942, _u6940))), skolem194(_u6944, _u6942, _u6940))) )).
% 12.53/12.71 cnf(fact_split__zmod-13, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6940, _u6942)) | ~hBOOL(hAPP(_u6940, skolem194(_u6944, _u6942, _u6940))) )).
% 12.53/12.71 cnf(fact_split__zmod-14, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), skolem196(_u6944, _u6942, _u6940))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6944)) )).
% 12.53/12.71 cnf(fact_split__zmod-15, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), skolem196(_u6944, _u6942, _u6940))) | ( _u6944 = 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)), skolem194(_u6944, _u6942, _u6940))) )).
% 12.53/12.71 cnf(fact_split__zmod-16, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), skolem196(_u6944, _u6942, _u6940))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem194(_u6944, _u6942, _u6940)), _u6944)) )).
% 12.53/12.71 cnf(fact_split__zmod-17, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), skolem196(_u6944, _u6942, _u6940))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem193(_u6944, _u6942, _u6940))), skolem194(_u6944, _u6942, _u6940))) )).
% 12.53/12.71 cnf(fact_split__zmod-18, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), skolem196(_u6944, _u6942, _u6940))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6940, skolem194(_u6944, _u6942, _u6940))) )).
% 12.53/12.71 cnf(fact_split__zmod-19, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem196(_u6944, _u6942, _u6940)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6944)) )).
% 12.53/12.71 cnf(fact_split__zmod-20, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem196(_u6944, _u6942, _u6940)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6944 = 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)), skolem194(_u6944, _u6942, _u6940))) )).
% 12.53/12.71 cnf(fact_split__zmod-21, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem196(_u6944, _u6942, _u6940)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem194(_u6944, _u6942, _u6940)), _u6944)) )).
% 12.53/12.71 cnf(fact_split__zmod-22, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem196(_u6944, _u6942, _u6940)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem193(_u6944, _u6942, _u6940))), skolem194(_u6944, _u6942, _u6940))) )).
% 12.53/12.71 cnf(fact_split__zmod-23, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem196(_u6944, _u6942, _u6940)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6940, skolem194(_u6944, _u6942, _u6940))) )).
% 12.53/12.71 cnf(fact_split__zmod-24, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem195(_u6944, _u6942, _u6940))), skolem196(_u6944, _u6942, _u6940))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6944)) )).
% 12.53/12.71 cnf(fact_split__zmod-25, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem195(_u6944, _u6942, _u6940))), skolem196(_u6944, _u6942, _u6940))) | ( _u6944 = 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)), skolem194(_u6944, _u6942, _u6940))) )).
% 12.53/12.71 cnf(fact_split__zmod-26, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem195(_u6944, _u6942, _u6940))), skolem196(_u6944, _u6942, _u6940))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem194(_u6944, _u6942, _u6940)), _u6944)) )).
% 12.53/12.71 cnf(fact_split__zmod-27, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem195(_u6944, _u6942, _u6940))), skolem196(_u6944, _u6942, _u6940))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem193(_u6944, _u6942, _u6940))), skolem194(_u6944, _u6942, _u6940))) )).
% 12.53/12.71 cnf(fact_split__zmod-28, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem195(_u6944, _u6942, _u6940))), skolem196(_u6944, _u6942, _u6940))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6940, skolem194(_u6944, _u6942, _u6940))) )).
% 12.53/12.71 cnf(fact_split__zmod-29, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ~hBOOL(hAPP(_u6940, skolem196(_u6944, _u6942, _u6940))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6944)) )).
% 12.53/12.71 cnf(fact_split__zmod-30, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ~hBOOL(hAPP(_u6940, skolem196(_u6944, _u6942, _u6940))) | ( _u6944 = 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)), skolem194(_u6944, _u6942, _u6940))) )).
% 12.53/12.71 cnf(fact_split__zmod-31, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ~hBOOL(hAPP(_u6940, skolem196(_u6944, _u6942, _u6940))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem194(_u6944, _u6942, _u6940)), _u6944)) )).
% 12.53/12.71 cnf(fact_split__zmod-32, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ~hBOOL(hAPP(_u6940, skolem196(_u6944, _u6942, _u6940))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem193(_u6944, _u6942, _u6940))), skolem194(_u6944, _u6942, _u6940))) )).
% 12.53/12.71 cnf(fact_split__zmod-33, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ~hBOOL(hAPP(_u6940, skolem196(_u6944, _u6942, _u6940))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6940, skolem194(_u6944, _u6942, _u6940))) )).
% 12.53/12.71 cnf(fact_split__zmod-34, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), skolem196(_u6944, _u6942, _u6940))) | ~hBOOL(hAPP(_u6940, _u6942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6944)) )).
% 12.53/12.71 cnf(fact_split__zmod-35, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), skolem196(_u6944, _u6942, _u6940))) | ~hBOOL(hAPP(_u6940, _u6942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem194(_u6944, _u6942, _u6940))) )).
% 12.53/12.71 cnf(fact_split__zmod-36, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), skolem196(_u6944, _u6942, _u6940))) | ~hBOOL(hAPP(_u6940, _u6942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem194(_u6944, _u6942, _u6940)), _u6944)) )).
% 12.53/12.71 cnf(fact_split__zmod-37, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), skolem196(_u6944, _u6942, _u6940))) | ~hBOOL(hAPP(_u6940, _u6942)) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem193(_u6944, _u6942, _u6940))), skolem194(_u6944, _u6942, _u6940))) )).
% 12.53/12.71 cnf(fact_split__zmod-38, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), skolem196(_u6944, _u6942, _u6940))) | ~hBOOL(hAPP(_u6940, _u6942)) | ~hBOOL(hAPP(_u6940, skolem194(_u6944, _u6942, _u6940))) )).
% 12.53/12.71 cnf(fact_split__zmod-39, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem196(_u6944, _u6942, _u6940)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6940, _u6942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6944)) )).
% 12.53/12.71 cnf(fact_split__zmod-40, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem196(_u6944, _u6942, _u6940)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6940, _u6942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem194(_u6944, _u6942, _u6940))) )).
% 12.53/12.71 cnf(fact_split__zmod-41, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem196(_u6944, _u6942, _u6940)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6940, _u6942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem194(_u6944, _u6942, _u6940)), _u6944)) )).
% 12.53/12.71 cnf(fact_split__zmod-42, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem196(_u6944, _u6942, _u6940)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6940, _u6942)) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem193(_u6944, _u6942, _u6940))), skolem194(_u6944, _u6942, _u6940))) )).
% 12.53/12.71 cnf(fact_split__zmod-43, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem196(_u6944, _u6942, _u6940)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6940, _u6942)) | ~hBOOL(hAPP(_u6940, skolem194(_u6944, _u6942, _u6940))) )).
% 12.53/12.71 cnf(fact_split__zmod-44, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem195(_u6944, _u6942, _u6940))), skolem196(_u6944, _u6942, _u6940))) | ~hBOOL(hAPP(_u6940, _u6942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6944)) )).
% 12.53/12.71 cnf(fact_split__zmod-45, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem195(_u6944, _u6942, _u6940))), skolem196(_u6944, _u6942, _u6940))) | ~hBOOL(hAPP(_u6940, _u6942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem194(_u6944, _u6942, _u6940))) )).
% 12.53/12.71 cnf(fact_split__zmod-46, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem195(_u6944, _u6942, _u6940))), skolem196(_u6944, _u6942, _u6940))) | ~hBOOL(hAPP(_u6940, _u6942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem194(_u6944, _u6942, _u6940)), _u6944)) )).
% 12.53/12.71 cnf(fact_split__zmod-47, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem195(_u6944, _u6942, _u6940))), skolem196(_u6944, _u6942, _u6940))) | ~hBOOL(hAPP(_u6940, _u6942)) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem193(_u6944, _u6942, _u6940))), skolem194(_u6944, _u6942, _u6940))) )).
% 12.53/12.71 cnf(fact_split__zmod-48, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem195(_u6944, _u6942, _u6940))), skolem196(_u6944, _u6942, _u6940))) | ~hBOOL(hAPP(_u6940, _u6942)) | ~hBOOL(hAPP(_u6940, skolem194(_u6944, _u6942, _u6940))) )).
% 12.53/12.71 cnf(fact_split__zmod-49, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ~hBOOL(hAPP(_u6940, skolem196(_u6944, _u6942, _u6940))) | ~hBOOL(hAPP(_u6940, _u6942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6944)) )).
% 12.53/12.71 cnf(fact_split__zmod-50, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ~hBOOL(hAPP(_u6940, skolem196(_u6944, _u6942, _u6940))) | ~hBOOL(hAPP(_u6940, _u6942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem194(_u6944, _u6942, _u6940))) )).
% 12.53/12.71 cnf(fact_split__zmod-51, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ~hBOOL(hAPP(_u6940, skolem196(_u6944, _u6942, _u6940))) | ~hBOOL(hAPP(_u6940, _u6942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem194(_u6944, _u6942, _u6940)), _u6944)) )).
% 12.53/12.71 cnf(fact_split__zmod-52, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ~hBOOL(hAPP(_u6940, skolem196(_u6944, _u6942, _u6940))) | ~hBOOL(hAPP(_u6940, _u6942)) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem193(_u6944, _u6942, _u6940))), skolem194(_u6944, _u6942, _u6940))) )).
% 12.53/12.71 cnf(fact_split__zmod-53, axiom, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ~hBOOL(hAPP(_u6940, skolem196(_u6944, _u6942, _u6940))) | ~hBOOL(hAPP(_u6940, _u6942)) | ~hBOOL(hAPP(_u6940, skolem194(_u6944, _u6942, _u6940))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zmult2__lemma__aux3 ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6945)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6946)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6946), _u6947)) | 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), _u6947), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6948, _u6945))), _u6946))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zmult2__lemma__aux4 ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6949)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6950)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6950), _u6951)) | 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), _u6951), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6952, _u6949))), _u6950)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6951), _u6949))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zmult2__lemma__aux1 ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6953)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6954), _u6955)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6955), 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), _u6954), _u6953)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6954), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6956, _u6953))), _u6955))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zmult2__lemma__aux2 ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6957)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6958), _u6959)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6959), 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), _u6958), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6960, _u6957))), _u6959)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_divmod__int__rel__mod__eq ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_divmod__int__rel__mod__eq-1, axiom, ( ( _u6961 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6962), _u6963)), _u6964)) | ( _u6962 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6961, _u6962) = _u6964) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6962)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6962), _u6964)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6964), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71 cnf(fact_divmod__int__rel__mod__eq-2, axiom, ( ( _u6961 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6962), _u6963)), _u6964)) | ( _u6962 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6961, _u6962) = _u6964) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6964)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6964), _u6962)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6962)) )).
% 12.53/12.71 cnf(fact_divmod__int__rel__mod__eq-3, axiom, ( ( _u6961 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6962), _u6963)), _u6964)) | ( _u6962 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6961, _u6962) = _u6964) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6964)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6964), _u6962)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6962), _u6964)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6964), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zmod__zmult2__eq ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6965)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6966, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6967), _u6965)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6967), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6966), _u6967), _u6965))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6966, _u6967))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zdiv__zminus2__eq__if ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zdiv__zminus2__eq__if-1, axiom, ( ( _u6968 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6969, _u6968) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6969), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6968)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6969), _u6968))) )).
% 12.53/12.71 cnf(fact_zdiv__zminus2__eq__if-2, axiom, ( ( _u6968 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6969, _u6968) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6969), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6968)) = 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), _u6969), _u6968))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zdiv__zminus1__eq__if ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zdiv__zminus1__eq__if-1, axiom, ( ( _u6970 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6971, _u6970) != 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), _u6971)), _u6970) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6971), _u6970))) )).
% 12.53/12.71 cnf(fact_zdiv__zminus1__eq__if-2, axiom, ( ( _u6970 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6971, _u6970) = 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), _u6971)), _u6970) = 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), _u6971), _u6970))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_z3mod__def ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6974)) | ( c_SMT_Oz3mod(_u6976, _u6974) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6976, _u6974)) )).
% 12.53/12.71 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)), _u6975)) | ( c_SMT_Oz3mod(_u6977, _u6975) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6977, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6975))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Suc__nat__number__of__add ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6980))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6980)), _u6982)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u6982)) )).
% 12.53/12.71 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), _u6981))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6981)), _u6983)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u6981))), _u6983)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Suc__nat__number__of ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Suc__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6985))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6985)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.53/12.71 cnf(fact_Suc__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6986))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6986)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u6986))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_image__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u6987)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6987) = 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, _u6987)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_negD ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_negD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6989), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6989 = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem197(_u6989))))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__Suc__eq__Suc__mod ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__Suc__eq__Suc__mod-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u6990), _u6991) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6990, _u6991)), _u6991)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__less ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6992), _u6993)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6992, _u6993) = _u6992) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__add1__eq ( axiom ) converted to clauses:
% 12.53/12.71 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), _u6994), _u6995)), _u6996) = 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), _u6994), _u6996)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6995), _u6996))), 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, _u6994, _u6996)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6995, _u6996))), _u6996))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__less__eq__dividend ( axiom ) converted to clauses:
% 12.53/12.71 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, _u6997, _u6998)), _u6997)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__mult__distrib ( axiom ) converted to clauses:
% 12.53/12.71 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, _u6999, _u7000)), _u7001) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6999), _u7001), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7000), _u7001))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__mult__distrib2 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7002), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7003, _u7004)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7002), _u7003), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7002), _u7004))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__int ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_nat__int-1, axiom, ( ( hAPP(c_Int_Onat, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7005)) = _u7005) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Divides_Otransfer__nat__int__functions_I2_J ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7006)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7007)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u7006), hAPP(c_Int_Onat, _u7007)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7006, _u7007))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__mod__distrib ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7008)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7009)) | ( hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7008, _u7009)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u7008), hAPP(c_Int_Onat, _u7009))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__0 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_nat__0-1, axiom, ( ( hAPP(c_Int_Onat, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_transfer__nat__int__numerals_I1_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_transfer__nat__int__numerals_I1_J-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__Suc ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__Suc-1, axiom, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7012, _u7014)) != _u7014) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7012), _u7014) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71 cnf(fact_mod__Suc-2, axiom, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7013, _u7015)) = _u7015) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7013), _u7015) = hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7013, _u7015))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__1-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7016, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__less__divisor ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7017)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7018, _u7017)), _u7017)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_eq__nat__nat__iff ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7019)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7020)) | ( hAPP(c_Int_Onat, _u7019) != hAPP(c_Int_Onat, _u7020)) | ( _u7019 = _u7020) )).
% 12.53/12.71 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)), _u7019)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7020)) | ( _u7019 != _u7020) | ( hAPP(c_Int_Onat, _u7019) = hAPP(c_Int_Onat, _u7020)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_ex__nat ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_ex__nat-1, axiom, ( ~hBOOL(hAPP(_u7026, _u7021)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem198(_u7026))) )).
% 12.53/12.71 cnf(fact_ex__nat-2, axiom, ( ~hBOOL(hAPP(_u7026, _u7021)) | hBOOL(hAPP(_u7026, hAPP(c_Int_Onat, skolem198(_u7026)))) )).
% 12.53/12.71 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)), _u7023)) | ~hBOOL(hAPP(_u7027, hAPP(c_Int_Onat, _u7023))) | hBOOL(hAPP(_u7027, skolem199(_u7027))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_all__nat ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_all__nat-1, axiom, ( ~hBOOL(hAPP(_u7033, skolem200(_u7033))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7029)) | hBOOL(hAPP(_u7033, hAPP(c_Int_Onat, _u7029))) )).
% 12.53/12.71 cnf(fact_all__nat-2, axiom, ( hBOOL(hAPP(_u7034, _u7031)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem201(_u7034))) )).
% 12.53/12.71 cnf(fact_all__nat-3, axiom, ( hBOOL(hAPP(_u7034, _u7031)) | ~hBOOL(hAPP(_u7034, hAPP(c_Int_Onat, skolem201(_u7034)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_transfer__nat__int__relations_I1_J ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7035)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7036)) | ( hAPP(c_Int_Onat, _u7035) != hAPP(c_Int_Onat, _u7036)) | ( _u7035 = _u7036) )).
% 12.53/12.71 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)), _u7035)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7036)) | ( _u7035 != _u7036) | ( hAPP(c_Int_Onat, _u7035) = hAPP(c_Int_Onat, _u7036)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__eq__0__iff ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__eq__0__iff-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7041, _u7043) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7041 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7043), skolem202(_u7043, _u7041))) )).
% 12.53/12.71 cnf(fact_mod__eq__0__iff-2, axiom, ( ( _u7042 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7044), _u7038)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7042, _u7044) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__geq ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__geq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7045), _u7046)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7045, _u7046) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7045), _u7046), _u7046)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__if ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7049), _u7051)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7049, _u7051) = _u7049) )).
% 12.53/12.71 cnf(fact_mod__if-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7050), _u7052)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7050, _u7052) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7050), _u7052), _u7052)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__mult__self3 ( axiom ) converted to clauses:
% 12.53/12.71 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), _u7053), _u7054)), _u7055), _u7054) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7055, _u7054)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__mult2__eq ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__mult2__eq-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7056, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7057), _u7058)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7057), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7056), _u7057), _u7058))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7056, _u7057))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__mult1__eq ( axiom ) converted to clauses:
% 12.53/12.71 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), _u7059), _u7060)), _u7061) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7059), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7060), _u7061))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7059), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7060, _u7061))), _u7061))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_le__mod__geq ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_le__mod__geq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7062), _u7063)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7063, _u7062) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7063), _u7062), _u7062)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__number__of__def ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_nat__number__of__def-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7064) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7064))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__number__of ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_nat__number__of-1, axiom, ( ( hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7065)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7065)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__mod__equality_H ( axiom ) converted to clauses:
% 12.53/12.71 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), _u7066), _u7067)), _u7067) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7066), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7066, _u7067))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mult__div__cancel ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mult__div__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7068), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7069), _u7068)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7069), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7069, _u7068))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Divides_Omod__div__equality_H ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Divides_Omod__div__equality_H-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7070, _u7071) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7070), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7070), _u7071)), _u7071))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_transfer__nat__int__numerals_I2_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_transfer__nat__int__numerals_I2_J-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zmod__int ( axiom ) converted to clauses:
% 12.53/12.71 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, _u7072, _u7073)) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7072), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7073))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Divides_Otransfer__int__nat__functions_I2_J ( axiom ) converted to clauses:
% 12.53/12.71 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), _u7074), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7075)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7074, _u7075))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_neg__nat ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_neg__nat-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u7076)) | ( hAPP(c_Int_Onat, _u7076) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_not__neg__nat ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_not__neg__nat-1, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u7077)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u7077)) = _u7077) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_transfer__int__nat__set__return__embed ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7078)) = _u7078) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7079), _u7080) = 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)), _u7079)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7080)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__nat__number__of ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7083))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7083), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7085)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71 cnf(fact_mod__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7084))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7086))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7084), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7086)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7084)) )).
% 12.53/12.71 cnf(fact_mod__nat__number__of-3, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7084))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7086))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7084), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7086)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7084), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7086)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__le__0 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_nat__le__0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7087), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u7087) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__0__iff ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_nat__0__iff-1, axiom, ( ( hAPP(c_Int_Onat, _u7089) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7089), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71 cnf(fact_nat__0__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7090), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u7090) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__mono__iff ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7091)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7092)), hAPP(c_Int_Onat, _u7091))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7092), _u7091)) )).
% 12.53/12.71 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)), _u7091)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7092), _u7091)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7092)), hAPP(c_Int_Onat, _u7091))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zless__nat__conj ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zless__nat__conj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7095)), hAPP(c_Int_Onat, _u7097))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7097)) )).
% 12.53/12.71 cnf(fact_zless__nat__conj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7095)), hAPP(c_Int_Onat, _u7097))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7095), _u7097)) )).
% 12.53/12.71 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)), _u7098)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7096), _u7098)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7096)), hAPP(c_Int_Onat, _u7098))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__le__divisor ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7099)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7100, _u7099)), _u7099)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_transfer__nat__int__relations_I3_J ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7101)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7102)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u7101)), hAPP(c_Int_Onat, _u7102))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7101), _u7102)) )).
% 12.53/12.71 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)), _u7101)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7102)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7101), _u7102)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u7101)), hAPP(c_Int_Onat, _u7102))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_nat__1-1, axiom, ( ( hAPP(c_Int_Onat, c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__mult__self4 ( axiom ) converted to clauses:
% 12.53/12.71 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), _u7103), _u7104)), _u7105)), _u7104) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7105), _u7104)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_int__nat__eq ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7107)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u7107)) = _u7107) )).
% 12.53/12.71 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)), _u7108)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u7108)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_int__eq__iff ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_int__eq__iff-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7111) != _u7113) | ( _u7111 = hAPP(c_Int_Onat, _u7113)) )).
% 12.53/12.71 cnf(fact_int__eq__iff-2, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7111) != _u7113) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7113)) )).
% 12.53/12.71 cnf(fact_int__eq__iff-3, axiom, ( ( _u7112 != hAPP(c_Int_Onat, _u7114)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7114)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7112) = _u7114) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__0__le ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7115)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u7115)) = _u7115) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zless__nat__eq__int__zless ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zless__nat__eq__int__zless-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7118), hAPP(c_Int_Onat, _u7120))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7118)), _u7120)) )).
% 12.53/12.71 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), _u7119)), _u7121)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7119), hAPP(c_Int_Onat, _u7121))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Divides_Otransfer__nat__int__functions_I1_J ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7122)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7123)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u7122)), hAPP(c_Int_Onat, _u7123)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7122), _u7123))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__div__distrib ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7124)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7124), _u7125)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u7124)), hAPP(c_Int_Onat, _u7125))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__zminus__int ( axiom ) converted to clauses:
% 12.53/12.71 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), _u7126))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_SetInterval_Otransfer__nat__int__set__functions_I2_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7127, _u7128) = 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), _u7127), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7128)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_one__mod__nat__number__of ( axiom ) converted to clauses:
% 12.53/12.71 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), _u7130))) | ( 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), _u7130)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.53/12.71 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), _u7131))) | ( 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), _u7131)) = 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), _u7131)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_succ__def ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_succ__def-1, axiom, ( ( c_Int_Osucc(_u7132) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7132), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_diff__bin__simps_I2_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_diff__bin__simps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7133), c_Int_OMin) = c_Int_Osucc(_u7133)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_card__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7134)) = hAPP(c_Int_Onat, _u7134)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_card__atLeastLessThan__int ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_card__atLeastLessThan__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u7135), _u7136)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7136), _u7135))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zero__less__nat__eq ( axiom ) converted to clauses:
% 12.53/12.71 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, _u7138))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7138)) )).
% 12.53/12.71 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)), _u7139)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u7139))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__less__eq__zless ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7140)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7140)), hAPP(c_Int_Onat, _u7141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7140), _u7141)) )).
% 12.53/12.71 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)), _u7140)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7140), _u7141)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7140)), hAPP(c_Int_Onat, _u7141))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_transfer__nat__int__relations_I2_J ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7142)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7143)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7142)), hAPP(c_Int_Onat, _u7143))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7142), _u7143)) )).
% 12.53/12.71 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)), _u7142)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7143)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7142), _u7143)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7142)), hAPP(c_Int_Onat, _u7143))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__eq__iff ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_nat__eq__iff-1, axiom, ( ( hAPP(c_Int_Onat, _u7146) != _u7148) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7146)) | ( _u7146 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7148)) )).
% 12.53/12.71 cnf(fact_nat__eq__iff-2, axiom, ( ( hAPP(c_Int_Onat, _u7146) != _u7148) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7146)) | ( _u7148 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71 cnf(fact_nat__eq__iff-3, axiom, ( ( hAPP(c_Int_Onat, _u7147) = _u7149) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7147)) | ( _u7149 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71 cnf(fact_nat__eq__iff-4, axiom, ( ( hAPP(c_Int_Onat, _u7147) = _u7149) | ( _u7147 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7149)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7147)) )).
% 12.53/12.71 cnf(fact_nat__eq__iff-5, axiom, ( ( hAPP(c_Int_Onat, _u7147) = _u7149) | ( _u7147 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7149)) | ( _u7149 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__eq__iff2 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_nat__eq__iff2-1, axiom, ( ( _u7152 != hAPP(c_Int_Onat, _u7154)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7154)) | ( _u7154 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7152)) )).
% 12.53/12.71 cnf(fact_nat__eq__iff2-2, axiom, ( ( _u7152 != hAPP(c_Int_Onat, _u7154)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7154)) | ( _u7152 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71 cnf(fact_nat__eq__iff2-3, axiom, ( ( _u7153 = hAPP(c_Int_Onat, _u7155)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7155)) | ( _u7153 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71 cnf(fact_nat__eq__iff2-4, axiom, ( ( _u7153 = hAPP(c_Int_Onat, _u7155)) | ( _u7155 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7153)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7155)) )).
% 12.53/12.71 cnf(fact_nat__eq__iff2-5, axiom, ( ( _u7153 = hAPP(c_Int_Onat, _u7155)) | ( _u7155 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7153)) | ( _u7153 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__le__eq__zle ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7156)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u7156)), hAPP(c_Int_Onat, _u7157))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7156), _u7157)) )).
% 12.53/12.71 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)), _u7156)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7156), _u7157)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u7156)), hAPP(c_Int_Onat, _u7157))) )).
% 12.53/12.71 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)), _u7157)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u7156)), hAPP(c_Int_Onat, _u7157))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7156), _u7157)) )).
% 12.53/12.71 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)), _u7157)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7156), _u7157)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u7156)), hAPP(c_Int_Onat, _u7157))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_split__nat ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_split__nat-1, axiom, ( ~hBOOL(hAPP(_u7162, hAPP(c_Int_Onat, _u7164))) | ( _u7164 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7158)) | hBOOL(hAPP(_u7162, _u7158)) )).
% 12.53/12.71 cnf(fact_split__nat-2, axiom, ( ~hBOOL(hAPP(_u7162, hAPP(c_Int_Onat, _u7164))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7164), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(_u7162, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.53/12.71 cnf(fact_split__nat-3, axiom, ( hBOOL(hAPP(_u7163, hAPP(c_Int_Onat, _u7165))) | ( _u7165 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem203(_u7165, _u7163))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7165), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71 cnf(fact_split__nat-4, axiom, ( hBOOL(hAPP(_u7163, hAPP(c_Int_Onat, _u7165))) | ( _u7165 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem203(_u7165, _u7163))) | ~hBOOL(hAPP(_u7163, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.53/12.71 cnf(fact_split__nat-5, axiom, ( hBOOL(hAPP(_u7163, hAPP(c_Int_Onat, _u7165))) | ~hBOOL(hAPP(_u7163, skolem203(_u7165, _u7163))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7165), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71 cnf(fact_split__nat-6, axiom, ( hBOOL(hAPP(_u7163, hAPP(c_Int_Onat, _u7165))) | ~hBOOL(hAPP(_u7163, skolem203(_u7165, _u7163))) | ~hBOOL(hAPP(_u7163, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_split__mod ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_split__mod-1, axiom, ( ~hBOOL(hAPP(_u7173, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7175, _u7177))) | ( _u7177 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u7173, _u7175)) )).
% 12.53/12.71 cnf(fact_split__mod-2, axiom, ( ~hBOOL(hAPP(_u7173, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7175, _u7177))) | ( _u7177 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7166), _u7177)) | ( _u7175 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7177), _u7167)), _u7166)) | hBOOL(hAPP(_u7173, _u7166)) )).
% 12.53/12.71 cnf(fact_split__mod-3, axiom, ( hBOOL(hAPP(_u7174, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7176, _u7178))) | ( _u7178 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem205(_u7178, _u7176, _u7174)), _u7178)) )).
% 12.53/12.71 cnf(fact_split__mod-4, axiom, ( hBOOL(hAPP(_u7174, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7176, _u7178))) | ( _u7178 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7176 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7178), skolem204(_u7178, _u7176, _u7174))), skolem205(_u7178, _u7176, _u7174))) )).
% 12.53/12.71 cnf(fact_split__mod-5, axiom, ( hBOOL(hAPP(_u7174, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7176, _u7178))) | ( _u7178 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u7174, skolem205(_u7178, _u7176, _u7174))) )).
% 12.53/12.71 cnf(fact_split__mod-6, axiom, ( hBOOL(hAPP(_u7174, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7176, _u7178))) | ~hBOOL(hAPP(_u7174, _u7176)) | ( _u7178 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71 cnf(fact_split__mod-7, axiom, ( hBOOL(hAPP(_u7174, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7176, _u7178))) | ~hBOOL(hAPP(_u7174, _u7176)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem205(_u7178, _u7176, _u7174)), _u7178)) )).
% 12.53/12.71 cnf(fact_split__mod-8, axiom, ( hBOOL(hAPP(_u7174, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7176, _u7178))) | ~hBOOL(hAPP(_u7174, _u7176)) | ( _u7176 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7178), skolem204(_u7178, _u7176, _u7174))), skolem205(_u7178, _u7176, _u7174))) )).
% 12.53/12.71 cnf(fact_split__mod-9, axiom, ( hBOOL(hAPP(_u7174, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7176, _u7178))) | ~hBOOL(hAPP(_u7174, _u7176)) | ~hBOOL(hAPP(_u7174, skolem205(_u7178, _u7176, _u7174))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__lemma ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7180), _u7181)) | 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), _u7181), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7182, _u7179))), _u7180)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7181), _u7179))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__add__distrib ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7183)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7184)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7183), _u7184)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u7183)), hAPP(c_Int_Onat, _u7184))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7185)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7186)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u7185)), hAPP(c_Int_Onat, _u7186)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7185), _u7186))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_int__eq__iff__number__of ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_int__eq__iff__number__of-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7189) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7191)) | ( _u7189 = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7191))) )).
% 12.53/12.71 cnf(fact_int__eq__iff__number__of-2, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7189) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7191)) | 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), _u7191))) )).
% 12.53/12.71 cnf(fact_int__eq__iff__number__of-3, axiom, ( ( _u7190 != hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7192))) | ~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), _u7192))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7190) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7192)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__mult__distrib ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7193)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7193), _u7194)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u7193)), hAPP(c_Int_Onat, _u7194))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7196)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u7195)), hAPP(c_Int_Onat, _u7196)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7195), _u7196))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7197), _u7198) = 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)), _u7197)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7198)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__diff__distrib ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7199)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7199), _u7200)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7200), _u7199)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u7200)), hAPP(c_Int_Onat, _u7199))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Suc__times__mod__eq ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7201)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7201), _u7202)), _u7201) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_card__greaterThanAtMost__int ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_card__greaterThanAtMost__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u7203, _u7204)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7204), _u7203))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7205)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u7205)), _u7206) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u7205), _u7206))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__power__eq ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7207)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u7207), _u7208)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u7207)), _u7208)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_SetInterval_Otransfer__nat__int__set__functions_I1_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u7209) = 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), _u7209)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7210)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7211)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u7210)), hAPP(c_Int_Onat, _u7211)) = hAPP(c_Int_Onat, c_Nat__Transfer_Otsub(_u7210, _u7211))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_one__less__nat__eq ( axiom ) converted to clauses:
% 12.53/12.71 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, _u7213))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u7213)) )).
% 12.53/12.71 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)), _u7214)) | 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, _u7214))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__less__iff ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7215)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7215)), _u7216)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7215), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7216))) )).
% 12.53/12.71 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)), _u7215)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7215), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7216))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7215)), _u7216)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Suc__nat__eq__nat__zadd1 ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7217)) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onat, _u7217)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u7217))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_number__of__succ ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_number__of__succ-1, axiom, ( ~class_Int_Onumber__ring(_u7218) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u7218), c_Int_Osucc(_u7219)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7218), c_Groups_Oone__class_Oone(_u7218)), hAPP(c_Int_Onumber__class_Onumber__of(_u7218), _u7219))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__mult__distrib__neg ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_nat__mult__distrib__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7220), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7220), _u7221)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7220))), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7221)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__nat__number__of ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_div__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7224))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7224)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7226)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71 cnf(fact_div__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7225))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7225)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7227)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7225)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7227)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_card__atLeastAtMost__int ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_card__atLeastAtMost__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u7228, _u7229)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7229), _u7228)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_one__div__nat__number__of ( axiom ) converted to clauses:
% 12.53/12.71 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), _u7230)) = 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), _u7230)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_card__greaterThanLessThan__int ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_card__greaterThanLessThan__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u7231, _u7232)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7232), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7231), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_power__nat__number__of__number__of ( axiom ) converted to clauses:
% 12.53/12.71 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), _u7235))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7235)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7237)) = 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), _u7237))) )).
% 12.53/12.71 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), _u7236))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7236)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7238)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7236)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7238)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_power__nat__number__of ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_power__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7241))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7241)), _u7243) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7243)) )).
% 12.53/12.71 cnf(fact_power__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7242))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7242)), _u7244) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7242)), _u7244))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__aux__def ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_nat__aux__def-1, axiom, ( ( c_Int_Onat__aux(_u7245, _u7246) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u7245)), _u7246)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_transfer__morphism__nat__int ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_transfer__morphism__nat__int-1, axiom, ( c_Nat__Transfer_Otransfer__morphism(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_SetInterval_Otransfer__int__nat__set__functions ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_SetInterval_Otransfer__int__nat__set__functions-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7247) | ~c_Nat__Transfer_Ois__nat(_u7248) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u7247, _u7248) = 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, _u7247), hAPP(c_Int_Onat, _u7248)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__int__of__nat ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__int__of__nat-1, axiom, ( ~class_Rings_Oring__1(_u7249) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7250), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7249), _u7250) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7249), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7249), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7250))))) )).
% 12.53/12.71 cnf(fact_of__int__of__nat-2, axiom, ( ~class_Rings_Oring__1(_u7249) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7250), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7249), _u7250) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7249), hAPP(c_Int_Onat, _u7250))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7251) | ~c_Nat__Transfer_Onat__set(_u7252) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7251), _u7252) = 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), _u7251)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7252)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_SetInterval_Otransfer__int__nat__set__function__closures ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_SetInterval_Otransfer__int__nat__set__function__closures-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7253) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u7253, _u7254)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__int__eq__iff ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__int__eq__iff-1, axiom, ( ~class_Int_Oring__char__0(_u7255) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7255), _u7256) != hAPP(c_Int_Oring__1__class_Oof__int(_u7255), _u7257)) | ( _u7256 = _u7257) )).
% 12.53/12.71 cnf(fact_of__int__eq__iff-2, axiom, ( ~class_Int_Oring__char__0(_u7255) | ( _u7256 != _u7257) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7255), _u7256) = hAPP(c_Int_Oring__1__class_Oof__int(_u7255), _u7257)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7258) | ~c_Nat__Transfer_Onat__set(_u7259) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7258), _u7259)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7260) | ~c_Nat__Transfer_Onat__set(_u7261) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7260), _u7261)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7262) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7263), _u7262)) | c_Nat__Transfer_Ois__nat(_u7263) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_number__of__eq ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u7264) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u7264), _u7265) = hAPP(c_Int_Oring__1__class_Oof__int(_u7264), _u7265)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_int__number__of__def ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_int__number__of__def-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7266) = hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), _u7266)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__int__int__eq ( axiom ) converted to clauses:
% 12.53/12.71 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), _u7267)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7267)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_transfer__int__nat__set__relations_I3_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_transfer__int__nat__set__relations_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7268) | ~c_Nat__Transfer_Onat__set(_u7269) | ( _u7268 != _u7269) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7268) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7269)) )).
% 12.53/12.71 cnf(fact_transfer__int__nat__set__relations_I3_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u7268) | ~c_Nat__Transfer_Onat__set(_u7269) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7268) != hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7269)) | ( _u7268 = _u7269) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J-1, axiom, ( c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7270) | ~c_Nat__Transfer_Ois__nat(_u7271) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7270), _u7271)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J ( axiom ) converted to clauses:
% 12.53/12.71 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), _u7272)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J-1, axiom, ( c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7273) | ~c_Nat__Transfer_Ois__nat(_u7274) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7273), _u7274)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Divides_Otransfer__int__nat__function__closures_I2_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Divides_Otransfer__int__nat__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7275) | ~c_Nat__Transfer_Ois__nat(_u7276) | c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7275, _u7276)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Divides_Otransfer__int__nat__function__closures_I1_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Divides_Otransfer__int__nat__function__closures_I1_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7277) | ~c_Nat__Transfer_Ois__nat(_u7278) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7277), _u7278)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7279) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u7279), _u7280)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7281) | ~c_Nat__Transfer_Ois__nat(_u7282) | c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(_u7281, _u7282)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_transfer__int__nat__set__relations_I2_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_transfer__int__nat__set__relations_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7283) | ~c_Nat__Transfer_Onat__set(_u7284) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7283), _u7284)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u7283)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7284))) )).
% 12.53/12.71 cnf(fact_transfer__int__nat__set__relations_I2_J-2, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7283) | ~c_Nat__Transfer_Onat__set(_u7284) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u7283)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7284))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7283), _u7284)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__int__eq__0__iff ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__int__eq__0__iff-1, axiom, ( ~class_Int_Oring__char__0(_u7285) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7285), _u7286) != c_Groups_Ozero__class_Ozero(_u7285)) | ( _u7286 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.71 cnf(fact_of__int__eq__0__iff-2, axiom, ( ~class_Int_Oring__char__0(_u7285) | ( _u7286 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7285), _u7286) = c_Groups_Ozero__class_Ozero(_u7285)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__int__0__eq__iff ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__int__0__eq__iff-1, axiom, ( ~class_Int_Oring__char__0(_u7287) | ( c_Groups_Ozero__class_Ozero(_u7287) != hAPP(c_Int_Oring__1__class_Oof__int(_u7287), _u7288)) | ( _u7288 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.71 cnf(fact_of__int__0__eq__iff-2, axiom, ( ~class_Int_Oring__char__0(_u7287) | ( _u7288 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Ozero__class_Ozero(_u7287) = hAPP(c_Int_Oring__1__class_Oof__int(_u7287), _u7288)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__int__0 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__int__0-1, axiom, ( ~class_Rings_Oring__1(_u7289) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7289), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(_u7289)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J-1, axiom, ( c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__int__le__iff ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__int__le__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u7290) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7290), hAPP(c_Int_Oring__1__class_Oof__int(_u7290), _u7291)), hAPP(c_Int_Oring__1__class_Oof__int(_u7290), _u7292))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7291), _u7292)) )).
% 12.53/12.71 cnf(fact_of__int__le__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u7290) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7291), _u7292)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7290), hAPP(c_Int_Oring__1__class_Oof__int(_u7290), _u7291)), hAPP(c_Int_Oring__1__class_Oof__int(_u7290), _u7292))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__int__less__iff ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__int__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u7293) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7293), hAPP(c_Int_Oring__1__class_Oof__int(_u7293), _u7294)), hAPP(c_Int_Oring__1__class_Oof__int(_u7293), _u7295))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7294), _u7295)) )).
% 12.53/12.71 cnf(fact_of__int__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u7293) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7294), _u7295)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7293), hAPP(c_Int_Oring__1__class_Oof__int(_u7293), _u7294)), hAPP(c_Int_Oring__1__class_Oof__int(_u7293), _u7295))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__int__add ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__int__add-1, axiom, ( ~class_Rings_Oring__1(_u7296) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7296), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7297), _u7298)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7296), hAPP(c_Int_Oring__1__class_Oof__int(_u7296), _u7297)), hAPP(c_Int_Oring__1__class_Oof__int(_u7296), _u7298))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__int__number__of__eq ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__int__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u7299) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7299), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7300)) = hAPP(c_Int_Onumber__class_Onumber__of(_u7299), _u7300)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__int__mult ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__int__mult-1, axiom, ( ~class_Rings_Oring__1(_u7301) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7301), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7302), _u7303)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7301), hAPP(c_Int_Oring__1__class_Oof__int(_u7301), _u7302)), hAPP(c_Int_Oring__1__class_Oof__int(_u7301), _u7303))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__int__1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__int__1-1, axiom, ( ~class_Rings_Oring__1(_u7304) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7304), c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(_u7304)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__int__diff ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__int__diff-1, axiom, ( ~class_Rings_Oring__1(_u7305) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7305), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7306), _u7307)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7305), hAPP(c_Int_Oring__1__class_Oof__int(_u7305), _u7306)), hAPP(c_Int_Oring__1__class_Oof__int(_u7305), _u7307))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__int__of__nat__eq ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__int__of__nat__eq-1, axiom, ( ~class_Rings_Oring__1(_u7308) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7308), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7309)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7308), _u7309)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__int__minus ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__int__minus-1, axiom, ( ~class_Rings_Oring__1(_u7310) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7310), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7311)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7310), hAPP(c_Int_Oring__1__class_Oof__int(_u7310), _u7311))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Ints__of__int ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Ints__of__int-1, axiom, ( ~class_Rings_Oring__1(_u7312) | hBOOL(hAPP(hAPP(c_member(_u7312), hAPP(c_Int_Oring__1__class_Oof__int(_u7312), _u7313)), c_Int_Oring__1__class_OInts(_u7312))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__int__power ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__int__power-1, axiom, ( ~class_Rings_Oring__1(_u7314) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7314), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u7315), _u7316)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u7314), hAPP(c_Int_Oring__1__class_Oof__int(_u7314), _u7315)), _u7316)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__set__def ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_nat__set__def-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7320) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7317), _u7320)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7317)) )).
% 12.53/12.71 cnf(fact_nat__set__def-2, axiom, ( c_Nat__Transfer_Onat__set(_u7321) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem206(_u7321)), _u7321)) )).
% 12.53/12.71 cnf(fact_nat__set__def-3, axiom, ( c_Nat__Transfer_Onat__set(_u7321) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem206(_u7321))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_is__nat__def ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_is__nat__def-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7323) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7323)) )).
% 12.53/12.71 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)), _u7324)) | c_Nat__Transfer_Ois__nat(_u7324) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7325)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__int__m1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__int__m1-1, axiom, ( ~class_Int_Onumber__ring(_u7326) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7326), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Int_Onumber__class_Onumber__of(_u7326), c_Int_OMin)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_SetInterval_Otransfer__nat__int__set__function__closures ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7327)) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u7327, _u7328)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7329) | ~c_Nat__Transfer_Onat__set(_u7330) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7329), _u7330) = 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), _u7329)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7330)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_transfer__nat__int__set__return__embed ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_transfer__nat__int__set__return__embed-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7331) | ( 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), _u7331)) = _u7331) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7332) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7333), _u7332)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7333)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__int__0__le__iff ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__int__0__le__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u7334) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7334), c_Groups_Ozero__class_Ozero(_u7334)), hAPP(c_Int_Oring__1__class_Oof__int(_u7334), _u7335))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7335)) )).
% 12.53/12.71 cnf(fact_of__int__0__le__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u7334) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7335)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7334), c_Groups_Ozero__class_Ozero(_u7334)), hAPP(c_Int_Oring__1__class_Oof__int(_u7334), _u7335))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__int__le__0__iff ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__int__le__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u7336) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7336), hAPP(c_Int_Oring__1__class_Oof__int(_u7336), _u7337)), c_Groups_Ozero__class_Ozero(_u7336))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7337), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71 cnf(fact_of__int__le__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u7336) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7337), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7336), hAPP(c_Int_Oring__1__class_Oof__int(_u7336), _u7337)), c_Groups_Ozero__class_Ozero(_u7336))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__int__0__less__iff ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__int__0__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u7338) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7338), c_Groups_Ozero__class_Ozero(_u7338)), hAPP(c_Int_Oring__1__class_Oof__int(_u7338), _u7339))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7339)) )).
% 12.53/12.71 cnf(fact_of__int__0__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u7338) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7339)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7338), c_Groups_Ozero__class_Ozero(_u7338)), hAPP(c_Int_Oring__1__class_Oof__int(_u7338), _u7339))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__int__less__0__iff ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__int__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u7340) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7340), hAPP(c_Int_Oring__1__class_Oof__int(_u7340), _u7341)), c_Groups_Ozero__class_Ozero(_u7340))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7341), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71 cnf(fact_of__int__less__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u7340) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7341), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7340), hAPP(c_Int_Oring__1__class_Oof__int(_u7340), _u7341)), c_Groups_Ozero__class_Ozero(_u7340))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__nat__nat ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__nat__nat-1, axiom, ( ~class_Rings_Oring__1(_u7342) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7343)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7342), hAPP(c_Int_Onat, _u7343)) = hAPP(c_Int_Oring__1__class_Oof__int(_u7342), _u7343)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_transfer__int__nat__set__relations_I1_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_transfer__int__nat__set__relations_I1_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7344) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u7344)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7344))) )).
% 12.53/12.71 cnf(fact_transfer__int__nat__set__relations_I1_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u7344) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7344))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u7344)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7345) | ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), _u7345) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7345))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_transfer__int__nat__set__relations_I5_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_transfer__int__nat__set__relations_I5_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7346) | ~c_Nat__Transfer_Onat__set(_u7347) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7346), _u7347)) | 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), _u7346)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7347))) )).
% 12.53/12.71 cnf(fact_transfer__int__nat__set__relations_I5_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u7346) | ~c_Nat__Transfer_Onat__set(_u7347) | ~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), _u7346)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7347))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7346), _u7347)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_transfer__int__nat__set__relations_I4_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_transfer__int__nat__set__relations_I4_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7348) | ~c_Nat__Transfer_Onat__set(_u7349) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7348), _u7349)) | 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), _u7348)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7349))) )).
% 12.53/12.71 cnf(fact_transfer__int__nat__set__relations_I4_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u7348) | ~c_Nat__Transfer_Onat__set(_u7349) | ~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), _u7348)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7349))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7348), _u7349)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zero__less__imp__eq__int ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7351)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem207(_u7351))) )).
% 12.53/12.71 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)), _u7351)) | ( _u7351 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem207(_u7351))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_decr__lemma ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7352)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7353), 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), _u7353), _u7354))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7352))), _u7354)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_incr__lemma ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7355)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7356), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7357), 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), _u7357), _u7356))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7355)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__1__add__number__of ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_nat__1__add__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7359), 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), _u7359)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.53/12.71 cnf(fact_nat__1__add__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7360), 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), _u7360)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u7360))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__number__of__add__1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_nat__number__of__add__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7362), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7362)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.53/12.71 cnf(fact_nat__number__of__add__1-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7363), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7363)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u7363))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Pls__def ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Pls__def-1, axiom, ( ( c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I19_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I19_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__ge__self ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__ge__self-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7364) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7364), _u7365), hAPP(c_Groups_Oabs__class_Oabs(_u7364), _u7365))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__le__D1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__le__D1-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7366) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7366), hAPP(c_Groups_Oabs__class_Oabs(_u7366), _u7367)), _u7368)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7366), _u7367), _u7368)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__add__abs ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__add__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7369) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7369), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7369), hAPP(c_Groups_Oabs__class_Oabs(_u7369), _u7370)), hAPP(c_Groups_Oabs__class_Oabs(_u7369), _u7371))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7369), hAPP(c_Groups_Oabs__class_Oabs(_u7369), _u7370)), hAPP(c_Groups_Oabs__class_Oabs(_u7369), _u7371))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__mult__self ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__mult__self-1, axiom, ( ~class_Rings_Olinordered__idom(_u7372) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7372), hAPP(c_Groups_Oabs__class_Oabs(_u7372), _u7373)), hAPP(c_Groups_Oabs__class_Oabs(_u7372), _u7373)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7372), _u7373), _u7373)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__mult ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__mult-1, axiom, ( ~class_Rings_Olinordered__idom(_u7374) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7374), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7374), _u7375), _u7376)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7374), hAPP(c_Groups_Oabs__class_Oabs(_u7374), _u7375)), hAPP(c_Groups_Oabs__class_Oabs(_u7374), _u7376))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__minus__commute ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__minus__commute-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7377) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7377), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7377), _u7378), _u7379)) = hAPP(c_Groups_Oabs__class_Oabs(_u7377), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7377), _u7379), _u7378))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__one ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__one-1, axiom, ( ~class_Rings_Olinordered__idom(_u7380) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7380), c_Groups_Oone__class_Oone(_u7380)) = c_Groups_Oone__class_Oone(_u7380)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__minus__cancel ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__minus__cancel-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7381) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7381), hAPP(c_Groups_Ouminus__class_Ouminus(_u7381), _u7382)) = hAPP(c_Groups_Oabs__class_Oabs(_u7381), _u7382)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__idempotent ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__idempotent-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7383) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7383), hAPP(c_Groups_Oabs__class_Oabs(_u7383), _u7384)) = hAPP(c_Groups_Oabs__class_Oabs(_u7383), _u7384)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__zero ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7385) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7385), c_Groups_Ozero__class_Ozero(_u7385)) = c_Groups_Ozero__class_Ozero(_u7385)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__eq__0 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__eq__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7386) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7386), _u7387) != c_Groups_Ozero__class_Ozero(_u7386)) | ( _u7387 = c_Groups_Ozero__class_Ozero(_u7386)) )).
% 12.53/12.71 cnf(fact_abs__eq__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7386) | ( _u7387 != c_Groups_Ozero__class_Ozero(_u7386)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7386), _u7387) = c_Groups_Ozero__class_Ozero(_u7386)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__int__eq ( axiom ) converted to clauses:
% 12.53/12.71 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), _u7388)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7388)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__divide ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__divide-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u7389) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7389), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7389), _u7390), _u7391)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7389), hAPP(c_Groups_Oabs__class_Oabs(_u7389), _u7390)), hAPP(c_Groups_Oabs__class_Oabs(_u7389), _u7391))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_power__abs ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_power__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u7392) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7392), hAPP(hAPP(c_Power_Opower__class_Opower(_u7392), _u7393), _u7394)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u7392), hAPP(c_Groups_Oabs__class_Oabs(_u7392), _u7393)), _u7394)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__of__nat ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__of__nat-1, axiom, ( ~class_Rings_Olinordered__idom(_u7395) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7395), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7395), _u7396)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7395), _u7396)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I2_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_add__Pls__right ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_add__Pls__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7397), c_Int_OPls) = _u7397) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_add__Pls ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_add__Pls-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), _u7398) = _u7398) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mult__Pls ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mult__Pls-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OPls), _u7399) = c_Int_OPls) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_diff__bin__simps_I1_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_diff__bin__simps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7400), c_Int_OPls) = _u7400) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_minus__Pls ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_minus__Pls-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls) = c_Int_OPls) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I37_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I37_J-1, axiom, ( ( c_Int_OPls != c_Int_OMin) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I40_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I40_J-1, axiom, ( ( c_Int_OMin != c_Int_OPls) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_eq__int__code_I1_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_eq__int__code_I1_J-1, axiom, ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__ge__zero ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__ge__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7401) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7401), c_Groups_Ozero__class_Ozero(_u7401)), hAPP(c_Groups_Oabs__class_Oabs(_u7401), _u7402))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__le__zero__iff ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__le__zero__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7403) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7403), hAPP(c_Groups_Oabs__class_Oabs(_u7403), _u7404)), c_Groups_Ozero__class_Ozero(_u7403))) | ( _u7404 = c_Groups_Ozero__class_Ozero(_u7403)) )).
% 12.53/12.71 cnf(fact_abs__le__zero__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7403) | ( _u7404 != c_Groups_Ozero__class_Ozero(_u7403)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7403), hAPP(c_Groups_Oabs__class_Oabs(_u7403), _u7404)), c_Groups_Ozero__class_Ozero(_u7403))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__of__nonneg ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__of__nonneg-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7405) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7405), c_Groups_Ozero__class_Ozero(_u7405)), _u7406)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7405), _u7406) = _u7406) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__of__pos ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__of__pos-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7407) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7407), c_Groups_Ozero__class_Ozero(_u7407)), _u7408)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7407), _u7408) = _u7408) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zero__less__abs__iff ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zero__less__abs__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7409) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7409), c_Groups_Ozero__class_Ozero(_u7409)), hAPP(c_Groups_Oabs__class_Oabs(_u7409), _u7410))) | ( _u7410 != c_Groups_Ozero__class_Ozero(_u7409)) )).
% 12.53/12.71 cnf(fact_zero__less__abs__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7409) | ( _u7410 = c_Groups_Ozero__class_Ozero(_u7409)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7409), c_Groups_Ozero__class_Ozero(_u7409)), hAPP(c_Groups_Oabs__class_Oabs(_u7409), _u7410))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__not__less__zero ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__not__less__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7411) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7411), hAPP(c_Groups_Oabs__class_Oabs(_u7411), _u7412)), c_Groups_Ozero__class_Ozero(_u7411))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__triangle__ineq ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__triangle__ineq-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7413) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7413), hAPP(c_Groups_Oabs__class_Oabs(_u7413), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7413), _u7414), _u7415))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7413), hAPP(c_Groups_Oabs__class_Oabs(_u7413), _u7414)), hAPP(c_Groups_Oabs__class_Oabs(_u7413), _u7415)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__mult__less ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__mult__less-1, axiom, ( ~class_Rings_Olinordered__idom(_u7416) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7416), hAPP(c_Groups_Oabs__class_Oabs(_u7416), _u7417)), _u7418)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7416), hAPP(c_Groups_Oabs__class_Oabs(_u7416), _u7419)), _u7420)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7416), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7416), hAPP(c_Groups_Oabs__class_Oabs(_u7416), _u7417)), hAPP(c_Groups_Oabs__class_Oabs(_u7416), _u7419))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7416), _u7418), _u7420))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__triangle__ineq3 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__triangle__ineq3-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7421) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7421), hAPP(c_Groups_Oabs__class_Oabs(_u7421), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7421), hAPP(c_Groups_Oabs__class_Oabs(_u7421), _u7422)), hAPP(c_Groups_Oabs__class_Oabs(_u7421), _u7423)))), hAPP(c_Groups_Oabs__class_Oabs(_u7421), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7421), _u7422), _u7423)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__triangle__ineq2 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__triangle__ineq2-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7424) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7424), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7424), hAPP(c_Groups_Oabs__class_Oabs(_u7424), _u7425)), hAPP(c_Groups_Oabs__class_Oabs(_u7424), _u7426))), hAPP(c_Groups_Oabs__class_Oabs(_u7424), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7424), _u7425), _u7426)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__triangle__ineq2__sym ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__triangle__ineq2__sym-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7427) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7427), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7427), hAPP(c_Groups_Oabs__class_Oabs(_u7427), _u7428)), hAPP(c_Groups_Oabs__class_Oabs(_u7427), _u7429))), hAPP(c_Groups_Oabs__class_Oabs(_u7427), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7427), _u7429), _u7428)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__le__D2 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__le__D2-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7430) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7430), hAPP(c_Groups_Oabs__class_Oabs(_u7430), _u7431)), _u7432)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7430), hAPP(c_Groups_Ouminus__class_Ouminus(_u7430), _u7431)), _u7432)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__leI ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__leI-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7433) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7433), _u7434), _u7435)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7433), hAPP(c_Groups_Ouminus__class_Ouminus(_u7433), _u7434)), _u7435)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7433), hAPP(c_Groups_Oabs__class_Oabs(_u7433), _u7434)), _u7435)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__le__iff ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__le__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7436) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7436), hAPP(c_Groups_Oabs__class_Oabs(_u7436), _u7437)), _u7438)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7436), _u7437), _u7438)) )).
% 12.53/12.71 cnf(fact_abs__le__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7436) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7436), hAPP(c_Groups_Oabs__class_Oabs(_u7436), _u7437)), _u7438)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7436), hAPP(c_Groups_Ouminus__class_Ouminus(_u7436), _u7437)), _u7438)) )).
% 12.53/12.71 cnf(fact_abs__le__iff-3, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7436) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7436), _u7437), _u7438)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7436), hAPP(c_Groups_Ouminus__class_Ouminus(_u7436), _u7437)), _u7438)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7436), hAPP(c_Groups_Oabs__class_Oabs(_u7436), _u7437)), _u7438)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__ge__minus__self ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__ge__minus__self-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7439) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7439), hAPP(c_Groups_Ouminus__class_Ouminus(_u7439), _u7440)), hAPP(c_Groups_Oabs__class_Oabs(_u7439), _u7440))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__less__iff ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u7441) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7441), hAPP(c_Groups_Oabs__class_Oabs(_u7441), _u7442)), _u7443)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7441), _u7442), _u7443)) )).
% 12.53/12.71 cnf(fact_abs__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u7441) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7441), hAPP(c_Groups_Oabs__class_Oabs(_u7441), _u7442)), _u7443)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7441), hAPP(c_Groups_Ouminus__class_Ouminus(_u7441), _u7442)), _u7443)) )).
% 12.53/12.71 cnf(fact_abs__less__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u7441) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7441), _u7442), _u7443)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7441), hAPP(c_Groups_Ouminus__class_Ouminus(_u7441), _u7442)), _u7443)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7441), hAPP(c_Groups_Oabs__class_Oabs(_u7441), _u7442)), _u7443)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nonzero__abs__divide ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_nonzero__abs__divide-1, axiom, ( ~class_Fields_Olinordered__field(_u7444) | ( _u7445 = c_Groups_Ozero__class_Ozero(_u7444)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7444), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7444), _u7446), _u7445)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7444), hAPP(c_Groups_Oabs__class_Oabs(_u7444), _u7446)), hAPP(c_Groups_Oabs__class_Oabs(_u7444), _u7445))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__power__minus ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__power__minus-1, axiom, ( ~class_Rings_Olinordered__idom(_u7447) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7447), hAPP(hAPP(c_Power_Opower__class_Opower(_u7447), hAPP(c_Groups_Ouminus__class_Ouminus(_u7447), _u7448)), _u7449)) = hAPP(c_Groups_Oabs__class_Oabs(_u7447), hAPP(hAPP(c_Power_Opower__class_Opower(_u7447), _u7448), _u7449))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__zmult__eq__1 ( axiom ) converted to clauses:
% 12.53/12.71 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), _u7450), _u7451)) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7450) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_number__of__Pls ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_number__of__Pls-1, axiom, ( ~class_Int_Onumber__ring(_u7452) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u7452), c_Int_OPls) = c_Groups_Ozero__class_Ozero(_u7452)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_semiring__norm_I112_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_semiring__norm_I112_J-1, axiom, ( ~class_Int_Onumber__ring(_u7453) | ( c_Groups_Ozero__class_Ozero(_u7453) = hAPP(c_Int_Onumber__class_Onumber__of(_u7453), c_Int_OPls)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_add__numeral__0 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_add__numeral__0-1, axiom, ( ~class_Int_Onumber__ring(_u7454) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7454), hAPP(c_Int_Onumber__class_Onumber__of(_u7454), c_Int_OPls)), _u7455) = _u7455) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_add__numeral__0__right ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_add__numeral__0__right-1, axiom, ( ~class_Int_Onumber__ring(_u7456) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7456), _u7457), hAPP(c_Int_Onumber__class_Onumber__of(_u7456), c_Int_OPls)) = _u7457) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__sgn ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__sgn-1, axiom, ( ~class_Rings_Olinordered__idom(_u7458) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7458), _u7459) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7458), _u7459), c_Groups_Osgn__class_Osgn(_u7458, _u7459))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mult__sgn__abs ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mult__sgn__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u7460) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7460), c_Groups_Osgn__class_Osgn(_u7460, _u7461)), hAPP(c_Groups_Oabs__class_Oabs(_u7460), _u7461)) = _u7461) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_bin__less__0__simps_I1_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_bin__less__0__simps_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_semiring__norm_I113_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_semiring__norm_I113_J-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__number__of__Pls ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_nat__number__of__Pls-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zero__is__num__zero ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zero__is__num__zero-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I23_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I23_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I20_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I20_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I3_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I6_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I6_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_eq__number__of__Pls__Min ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_eq__number__of__Pls__Min-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_not__neg__number__of__Pls ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_not__neg__number__of__Pls-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_eq__int__code_I5_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_eq__int__code_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_eq__int__code_I2_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_eq__int__code_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_succ__Min ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_succ__Min-1, axiom, ( ( c_Int_Osucc(c_Int_OMin) = c_Int_OPls) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__mult__pos ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__mult__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u7462) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7462), c_Groups_Ozero__class_Ozero(_u7462)), _u7463)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7462), hAPP(c_Groups_Oabs__class_Oabs(_u7462), _u7464)), _u7463) = hAPP(c_Groups_Oabs__class_Oabs(_u7462), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7462), _u7464), _u7463))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__eq__mult ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__eq__mult-1, axiom, ( ~class_Rings_Oordered__ring__abs(_u7465) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7465), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7465), _u7466), _u7467)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7465), hAPP(c_Groups_Oabs__class_Oabs(_u7465), _u7466)), hAPP(c_Groups_Oabs__class_Oabs(_u7465), _u7467))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7465), c_Groups_Ozero__class_Ozero(_u7465)), _u7466)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7465), c_Groups_Ozero__class_Ozero(_u7465)), _u7467)) )).
% 12.53/12.71 cnf(fact_abs__eq__mult-2, axiom, ( ~class_Rings_Oordered__ring__abs(_u7465) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7465), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7465), _u7466), _u7467)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7465), hAPP(c_Groups_Oabs__class_Oabs(_u7465), _u7466)), hAPP(c_Groups_Oabs__class_Oabs(_u7465), _u7467))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7465), c_Groups_Ozero__class_Ozero(_u7465)), _u7466)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7465), _u7467), c_Groups_Ozero__class_Ozero(_u7465))) )).
% 12.53/12.71 cnf(fact_abs__eq__mult-3, axiom, ( ~class_Rings_Oordered__ring__abs(_u7465) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7465), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7465), _u7466), _u7467)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7465), hAPP(c_Groups_Oabs__class_Oabs(_u7465), _u7466)), hAPP(c_Groups_Oabs__class_Oabs(_u7465), _u7467))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7465), _u7466), c_Groups_Ozero__class_Ozero(_u7465))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7465), c_Groups_Ozero__class_Ozero(_u7465)), _u7467)) )).
% 12.53/12.71 cnf(fact_abs__eq__mult-4, axiom, ( ~class_Rings_Oordered__ring__abs(_u7465) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7465), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7465), _u7466), _u7467)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7465), hAPP(c_Groups_Oabs__class_Oabs(_u7465), _u7466)), hAPP(c_Groups_Oabs__class_Oabs(_u7465), _u7467))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7465), _u7466), c_Groups_Ozero__class_Ozero(_u7465))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7465), _u7467), c_Groups_Ozero__class_Ozero(_u7465))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__triangle__ineq4 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__triangle__ineq4-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7468) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7468), hAPP(c_Groups_Oabs__class_Oabs(_u7468), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7468), _u7469), _u7470))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7468), hAPP(c_Groups_Oabs__class_Oabs(_u7468), _u7469)), hAPP(c_Groups_Oabs__class_Oabs(_u7468), _u7470)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__diff__triangle__ineq ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__diff__triangle__ineq-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7471) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7471), hAPP(c_Groups_Oabs__class_Oabs(_u7471), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7471), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7471), _u7472), _u7473)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7471), _u7474), _u7475)))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7471), hAPP(c_Groups_Oabs__class_Oabs(_u7471), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7471), _u7472), _u7474))), hAPP(c_Groups_Oabs__class_Oabs(_u7471), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7471), _u7473), _u7475))))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__of__nonpos ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__of__nonpos-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7476) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7476), _u7477), c_Groups_Ozero__class_Ozero(_u7476))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7476), _u7477) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7476), _u7477)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__minus__le__zero ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__minus__le__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7478) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7478), hAPP(c_Groups_Ouminus__class_Ouminus(_u7478), hAPP(c_Groups_Oabs__class_Oabs(_u7478), _u7479))), c_Groups_Ozero__class_Ozero(_u7478))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__of__neg ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__of__neg-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7480) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7480), _u7481), c_Groups_Ozero__class_Ozero(_u7480))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7480), _u7481) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7480), _u7481)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__if ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__if-1, axiom, ( ~class_Groups_Oabs__if(_u7482) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7482), _u7483), c_Groups_Ozero__class_Ozero(_u7482))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7482), _u7483) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7482), _u7483)) )).
% 12.53/12.71 cnf(fact_abs__if-2, axiom, ( ~class_Groups_Oabs__if(_u7482) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7482), _u7483), c_Groups_Ozero__class_Ozero(_u7482))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7482), _u7483) = _u7483) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zero__le__power__abs ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zero__le__power__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u7484) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7484), c_Groups_Ozero__class_Ozero(_u7484)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7484), hAPP(c_Groups_Oabs__class_Oabs(_u7484), _u7485)), _u7486))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__div__pos ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__div__pos-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u7487) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7487), c_Groups_Ozero__class_Ozero(_u7487)), _u7488)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7487), hAPP(c_Groups_Oabs__class_Oabs(_u7487), _u7489)), _u7488) = hAPP(c_Groups_Oabs__class_Oabs(_u7487), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7487), _u7489), _u7488))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__minus__one ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__minus__one-1, axiom, ( ~class_Int_Onumber__ring(_u7490) | ~class_Rings_Olinordered__idom(_u7490) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7490), hAPP(c_Int_Onumber__class_Onumber__of(_u7490), c_Int_OMin)) = c_Groups_Oone__class_Oone(_u7490)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zabs__less__one__iff ( axiom ) converted to clauses:
% 12.53/12.71 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), _u7492)), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u7492 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.71 cnf(fact_zabs__less__one__iff-2, axiom, ( ( _u7493 != 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), _u7493)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zabs__def ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zabs__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7495), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7495) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7495)) )).
% 12.53/12.71 cnf(fact_zabs__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7496), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7496) = _u7496) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__abs__mult__distrib ( axiom ) converted to clauses:
% 12.53/12.71 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), _u7497), _u7498))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7497))), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7498)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zero__le__zpower__abs ( axiom ) converted to clauses:
% 12.53/12.71 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), _u7499)), _u7500))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_divide__Numeral0 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_divide__Numeral0-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u7501) | ~class_Int_Onumber__ring(_u7501) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7501), _u7502), hAPP(c_Int_Onumber__class_Onumber__of(_u7501), c_Int_OPls)) = c_Groups_Ozero__class_Ozero(_u7501)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_eq__number__of__0 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_eq__number__of__0-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7504) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7504), c_Int_OPls)) )).
% 12.53/12.71 cnf(fact_eq__number__of__0-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7505), c_Int_OPls)) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7505) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_eq__0__number__of ( axiom ) converted to clauses:
% 12.53/12.71 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), _u7507)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7507), c_Int_OPls)) )).
% 12.53/12.71 cnf(fact_eq__0__number__of-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7508), c_Int_OPls)) | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7508)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_number__of2 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_number__of2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_less__nat__number__of ( axiom ) converted to clauses:
% 12.53/12.71 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), _u7511)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7513))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7511), _u7513)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u7513)) )).
% 12.53/12.71 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), _u7511)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7513))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7511), _u7513)) )).
% 12.53/12.71 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), _u7512)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7514))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7512), _u7514)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u7514)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_le__nat__number__of ( axiom ) converted to clauses:
% 12.53/12.71 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), _u7517)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7519))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7517), _u7519)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7517), c_Int_OPls)) )).
% 12.53/12.71 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), _u7518)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7520))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7518), _u7520)) )).
% 12.53/12.71 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), _u7518)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7520))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7518), c_Int_OPls)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__number__of ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u7521) | ~class_Rings_Olinordered__idom(_u7521) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7521), hAPP(c_Int_Onumber__class_Onumber__of(_u7521), _u7522)), c_Groups_Ozero__class_Ozero(_u7521))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7521), hAPP(c_Int_Onumber__class_Onumber__of(_u7521), _u7522)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7521), hAPP(c_Int_Onumber__class_Onumber__of(_u7521), _u7522))) )).
% 12.53/12.71 cnf(fact_abs__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u7521) | ~class_Rings_Olinordered__idom(_u7521) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7521), hAPP(c_Int_Onumber__class_Onumber__of(_u7521), _u7522)), c_Groups_Ozero__class_Ozero(_u7521))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7521), hAPP(c_Int_Onumber__class_Onumber__of(_u7521), _u7522)) = hAPP(c_Int_Onumber__class_Onumber__of(_u7521), _u7522)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__power__minus__one ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__power__minus__one-1, axiom, ( ~class_Int_Onumber__ring(_u7523) | ~class_Rings_Olinordered__idom(_u7523) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7523), hAPP(hAPP(c_Power_Opower__class_Opower(_u7523), hAPP(c_Int_Onumber__class_Onumber__of(_u7523), c_Int_OMin)), _u7524)) = c_Groups_Oone__class_Oone(_u7523)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zero__less__zpower__abs__iff ( axiom ) converted to clauses:
% 12.53/12.71 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), _u7527)), _u7529))) | ( _u7527 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7529 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71 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), _u7528)), _u7530))) | ( _u7528 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.71 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), _u7528)), _u7530))) | ( _u7530 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_le__special_I1_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_le__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u7531) | ~class_Rings_Olinordered__idom(_u7531) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7531), c_Groups_Ozero__class_Ozero(_u7531)), hAPP(c_Int_Onumber__class_Onumber__of(_u7531), _u7532))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u7532)) )).
% 12.53/12.71 cnf(fact_le__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u7531) | ~class_Rings_Olinordered__idom(_u7531) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u7532)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7531), c_Groups_Ozero__class_Ozero(_u7531)), hAPP(c_Int_Onumber__class_Onumber__of(_u7531), _u7532))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_le__special_I3_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_le__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u7533) | ~class_Rings_Olinordered__idom(_u7533) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7533), hAPP(c_Int_Onumber__class_Onumber__of(_u7533), _u7534)), c_Groups_Ozero__class_Ozero(_u7533))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7534), c_Int_OPls)) )).
% 12.53/12.71 cnf(fact_le__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u7533) | ~class_Rings_Olinordered__idom(_u7533) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7534), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7533), hAPP(c_Int_Onumber__class_Onumber__of(_u7533), _u7534)), c_Groups_Ozero__class_Ozero(_u7533))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_less__special_I1_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_less__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u7535) | ~class_Rings_Olinordered__idom(_u7535) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7535), c_Groups_Ozero__class_Ozero(_u7535)), hAPP(c_Int_Onumber__class_Onumber__of(_u7535), _u7536))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u7536)) )).
% 12.53/12.71 cnf(fact_less__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u7535) | ~class_Rings_Olinordered__idom(_u7535) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u7536)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7535), c_Groups_Ozero__class_Ozero(_u7535)), hAPP(c_Int_Onumber__class_Onumber__of(_u7535), _u7536))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_less__special_I3_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_less__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u7537) | ~class_Rings_Olinordered__idom(_u7537) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7537), hAPP(c_Int_Onumber__class_Onumber__of(_u7537), _u7538)), c_Groups_Ozero__class_Ozero(_u7537))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7538), c_Int_OPls)) )).
% 12.53/12.71 cnf(fact_less__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u7537) | ~class_Rings_Olinordered__idom(_u7537) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7538), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7537), hAPP(c_Int_Onumber__class_Onumber__of(_u7537), _u7538)), c_Groups_Ozero__class_Ozero(_u7537))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_less__0__number__of ( axiom ) converted to clauses:
% 12.53/12.71 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), _u7540))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u7540)) )).
% 12.53/12.71 cnf(fact_less__0__number__of-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u7541)) | 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), _u7541))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_add__nat__number__of ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_add__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7544), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7544)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7546)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7546)) )).
% 12.53/12.71 cnf(fact_add__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7545), c_Int_OPls)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7547), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7545)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7547)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7545)) )).
% 12.53/12.71 cnf(fact_add__nat__number__of-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7545), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7547), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7545)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7547)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7545), _u7547))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__number__of__mult__left ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_nat__number__of__mult__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7551), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7551)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7553)), _u7555)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71 cnf(fact_nat__number__of__mult__left-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7552), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7552)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7554)), _u7556)) = 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), _u7552), _u7554))), _u7556)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mult__nat__number__of ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mult__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7559), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7559)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7561)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71 cnf(fact_mult__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7560), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7560)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7562)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7560), _u7562))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_eq__special_I3_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_eq__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u7563) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u7563), _u7564) != c_Groups_Ozero__class_Ozero(_u7563)) | c_Int_Oiszero(_u7563, hAPP(c_Int_Onumber__class_Onumber__of(_u7563), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7564), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) )).
% 12.53/12.71 cnf(fact_eq__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u7563) | ~c_Int_Oiszero(_u7563, hAPP(c_Int_Onumber__class_Onumber__of(_u7563), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7564), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u7563), _u7564) = c_Groups_Ozero__class_Ozero(_u7563)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_eq__special_I1_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_eq__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u7565) | ( c_Groups_Ozero__class_Ozero(_u7565) != hAPP(c_Int_Onumber__class_Onumber__of(_u7565), _u7566)) | c_Int_Oiszero(_u7565, hAPP(c_Int_Onumber__class_Onumber__of(_u7565), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7566)))) )).
% 12.53/12.71 cnf(fact_eq__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u7565) | ~c_Int_Oiszero(_u7565, hAPP(c_Int_Onumber__class_Onumber__of(_u7565), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7566)))) | ( c_Groups_Ozero__class_Ozero(_u7565) = hAPP(c_Int_Onumber__class_Onumber__of(_u7565), _u7566)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__number__of__diff__1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_nat__number__of__diff__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7568), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7568)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71 cnf(fact_nat__number__of__diff__1-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7569), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7569)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u7569))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nats__number__of ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Nats__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u7570) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u7571)) | hBOOL(hAPP(hAPP(c_member(_u7570), hAPP(c_Int_Onumber__class_Onumber__of(_u7570), _u7571)), c_Nat_Osemiring__1__class_ONats(_u7570))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nitpick_Oint__lcm__def ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Nitpick_Oint__lcm__def-1, axiom, ( ( c_Nitpick_Oint__lcm(_u7572, _u7573) = 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), _u7572)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7573))))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_succ__pred ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_succ__pred-1, axiom, ( ( c_Int_Osucc(c_Int_Opred(_u7574)) = _u7574) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_iszero__def ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_iszero__def-1, axiom, ( ~class_Rings_Osemiring__1(_u7575) | ~c_Int_Oiszero(_u7575, _u7576) | ( _u7576 = c_Groups_Ozero__class_Ozero(_u7575)) )).
% 12.53/12.71 cnf(fact_iszero__def-2, axiom, ( ~class_Rings_Osemiring__1(_u7575) | ( _u7576 != c_Groups_Ozero__class_Ozero(_u7575)) | c_Int_Oiszero(_u7575, _u7576) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_iszero__0 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_iszero__0-1, axiom, ( ~class_Rings_Osemiring__1(_u7577) | c_Int_Oiszero(_u7577, c_Groups_Ozero__class_Ozero(_u7577)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_not__iszero__1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_not__iszero__1-1, axiom, ( ~class_Rings_Osemiring__1(_u7578) | ~c_Int_Oiszero(_u7578, c_Groups_Oone__class_Oone(_u7578)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_le__iff__pred__less ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_le__iff__pred__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7581), _u7583)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u7581)), _u7583)) )).
% 12.53/12.71 cnf(fact_le__iff__pred__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u7582)), _u7584)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7582), _u7584)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_pred__Pls ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_pred__Pls-1, axiom, ( ( c_Int_Opred(c_Int_OPls) = c_Int_OMin) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_pred__def ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_pred__def-1, axiom, ( ( c_Int_Opred(_u7585) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7585), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_add__Min__right ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_add__Min__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7586), c_Int_OMin) = c_Int_Opred(_u7586)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_add__Min ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_add__Min-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OMin), _u7587) = c_Int_Opred(_u7587)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_iszero__Numeral0 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_iszero__Numeral0-1, axiom, ( ~class_Int_Onumber__ring(_u7588) | c_Int_Oiszero(_u7588, hAPP(c_Int_Onumber__class_Onumber__of(_u7588), c_Int_OPls)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nats__0 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Nats__0-1, axiom, ( ~class_Rings_Osemiring__1(_u7589) | hBOOL(hAPP(hAPP(c_member(_u7589), c_Groups_Ozero__class_Ozero(_u7589)), c_Nat_Osemiring__1__class_ONats(_u7589))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nats__add ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Nats__add-1, axiom, ( ~class_Rings_Osemiring__1(_u7590) | ~hBOOL(hAPP(hAPP(c_member(_u7590), _u7591), c_Nat_Osemiring__1__class_ONats(_u7590))) | ~hBOOL(hAPP(hAPP(c_member(_u7590), _u7592), c_Nat_Osemiring__1__class_ONats(_u7590))) | hBOOL(hAPP(hAPP(c_member(_u7590), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7590), _u7591), _u7592)), c_Nat_Osemiring__1__class_ONats(_u7590))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nats__mult ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Nats__mult-1, axiom, ( ~class_Rings_Osemiring__1(_u7593) | ~hBOOL(hAPP(hAPP(c_member(_u7593), _u7594), c_Nat_Osemiring__1__class_ONats(_u7593))) | ~hBOOL(hAPP(hAPP(c_member(_u7593), _u7595), c_Nat_Osemiring__1__class_ONats(_u7593))) | hBOOL(hAPP(hAPP(c_member(_u7593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7593), _u7594), _u7595)), c_Nat_Osemiring__1__class_ONats(_u7593))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nonzero__number__of__Min ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_nonzero__number__of__Min-1, axiom, ( ~class_Int_Onumber__ring(_u7596) | ~c_Int_Oiszero(_u7596, hAPP(c_Int_Onumber__class_Onumber__of(_u7596), c_Int_OMin)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nats__1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Nats__1-1, axiom, ( ~class_Rings_Osemiring__1(_u7597) | hBOOL(hAPP(hAPP(c_member(_u7597), c_Groups_Oone__class_Oone(_u7597)), c_Nat_Osemiring__1__class_ONats(_u7597))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_of__nat__in__Nats ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_of__nat__in__Nats-1, axiom, ( ~class_Rings_Osemiring__1(_u7598) | hBOOL(hAPP(hAPP(c_member(_u7598), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7598), _u7599)), c_Nat_Osemiring__1__class_ONats(_u7598))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_number__of__pred ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_number__of__pred-1, axiom, ( ~class_Int_Onumber__ring(_u7600) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u7600), c_Int_Opred(_u7601)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7600), hAPP(c_Groups_Ouminus__class_Ouminus(_u7600), c_Groups_Oone__class_Oone(_u7600))), hAPP(c_Int_Onumber__class_Onumber__of(_u7600), _u7601))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_neg__number__of__pred__iff__0 ( axiom ) converted to clauses:
% 12.53/12.71 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(_u7603)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7603) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.71 cnf(fact_neg__number__of__pred__iff__0-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7604) != 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(_u7604)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_eq__number__of__eq ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_eq__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u7605) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u7605), _u7606) != hAPP(c_Int_Onumber__class_Onumber__of(_u7605), _u7607)) | c_Int_Oiszero(_u7605, hAPP(c_Int_Onumber__class_Onumber__of(_u7605), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7606), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7607)))) )).
% 12.53/12.71 cnf(fact_eq__number__of__eq-2, axiom, ( ~class_Int_Onumber__ring(_u7605) | ~c_Int_Oiszero(_u7605, hAPP(c_Int_Onumber__class_Onumber__of(_u7605), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7606), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7607)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u7605), _u7606) = hAPP(c_Int_Onumber__class_Onumber__of(_u7605), _u7607)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Suc__diff__number__of ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Suc__diff__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u7608)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7609)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7608)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7609), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u7608)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nitpick_Onat__lcm__def ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Nitpick_Onat__lcm__def-1, axiom, ( ( c_Nitpick_Onat__lcm(_u7610, _u7611) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7610), _u7611)), c_Nitpick_Onat__gcd(_u7610, _u7611))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_eq__special_I4_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_eq__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u7612) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u7612), _u7613) != c_Groups_Oone__class_Oone(_u7612)) | c_Int_Oiszero(_u7612, hAPP(c_Int_Onumber__class_Onumber__of(_u7612), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7613), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 12.53/12.71 cnf(fact_eq__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u7612) | ~c_Int_Oiszero(_u7612, hAPP(c_Int_Onumber__class_Onumber__of(_u7612), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7613), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u7612), _u7613) = c_Groups_Oone__class_Oone(_u7612)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_eq__special_I2_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_eq__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u7614) | ( c_Groups_Oone__class_Oone(_u7614) != hAPP(c_Int_Onumber__class_Onumber__of(_u7614), _u7615)) | c_Int_Oiszero(_u7614, hAPP(c_Int_Onumber__class_Onumber__of(_u7614), 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), _u7615)))) )).
% 12.53/12.71 cnf(fact_eq__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u7614) | ~c_Int_Oiszero(_u7614, hAPP(c_Int_Onumber__class_Onumber__of(_u7614), 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), _u7615)))) | ( c_Groups_Oone__class_Oone(_u7614) = hAPP(c_Int_Onumber__class_Onumber__of(_u7614), _u7615)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_diff__special_I2_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_diff__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u7616) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7616), hAPP(c_Int_Onumber__class_Onumber__of(_u7616), _u7617)), c_Groups_Oone__class_Oone(_u7616)) = hAPP(c_Int_Onumber__class_Onumber__of(_u7616), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7617), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_diff__special_I1_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_diff__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u7618) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7618), c_Groups_Oone__class_Oone(_u7618)), hAPP(c_Int_Onumber__class_Onumber__of(_u7618), _u7619)) = hAPP(c_Int_Onumber__class_Onumber__of(_u7618), 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), _u7619)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Bit1__Min ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Bit1__Min-1, axiom, ( ( c_Int_OBit1(c_Int_OMin) = c_Int_OMin) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I43_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I43_J-1, axiom, ( ( c_Int_OMin != c_Int_OBit1(_u7621)) | ( c_Int_OMin = _u7621) )).
% 12.53/12.71 cnf(fact_rel__simps_I43_J-2, axiom, ( ( c_Int_OMin != _u7622) | ( c_Int_OMin = c_Int_OBit1(_u7622)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I47_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I47_J-1, axiom, ( ( c_Int_OBit1(_u7624) != c_Int_OMin) | ( _u7624 = c_Int_OMin) )).
% 12.53/12.71 cnf(fact_rel__simps_I47_J-2, axiom, ( ( _u7625 != c_Int_OMin) | ( c_Int_OBit1(_u7625) = c_Int_OMin) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I51_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I51_J-1, axiom, ( ( c_Int_OBit1(_u7628) != c_Int_OBit1(_u7630)) | ( _u7628 = _u7630) )).
% 12.53/12.71 cnf(fact_rel__simps_I51_J-2, axiom, ( ( _u7629 != _u7631) | ( c_Int_OBit1(_u7629) = c_Int_OBit1(_u7631)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_less__int__code_I16_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_less__int__code_I16_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u7634)), c_Int_OBit1(_u7636))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7634), _u7636)) )).
% 12.53/12.71 cnf(fact_less__int__code_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7635), _u7637)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u7635)), c_Int_OBit1(_u7637))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I17_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I17_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u7640)), c_Int_OBit1(_u7642))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7640), _u7642)) )).
% 12.53/12.71 cnf(fact_rel__simps_I17_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7641), _u7643)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u7641)), c_Int_OBit1(_u7643))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I34_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I34_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u7646)), c_Int_OBit1(_u7648))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7646), _u7648)) )).
% 12.53/12.71 cnf(fact_rel__simps_I34_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7647), _u7649)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u7647)), c_Int_OBit1(_u7649))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_less__eq__int__code_I16_J ( axiom ) converted to clauses:
% 12.53/12.71 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(_u7652)), c_Int_OBit1(_u7654))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7652), _u7654)) )).
% 12.53/12.71 cnf(fact_less__eq__int__code_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7653), _u7655)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u7653)), c_Int_OBit1(_u7655))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I39_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I39_J-1, axiom, ( ( c_Int_OPls != c_Int_OBit1(_u7656)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I46_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I46_J-1, axiom, ( ( c_Int_OBit1(_u7657) != c_Int_OPls) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_eq__int__code_I16_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_eq__int__code_I16_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u7660)), c_Int_OBit1(_u7662))) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u7660), _u7662)) )).
% 12.53/12.71 cnf(fact_eq__int__code_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u7661), _u7663)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u7661)), c_Int_OBit1(_u7663))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_bin__less__0__simps_I4_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_bin__less__0__simps_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u7665)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7665), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71 cnf(fact_bin__less__0__simps_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7666), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u7666)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I22_J ( axiom ) converted to clauses:
% 12.53/12.71 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(_u7668))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u7668)) )).
% 12.53/12.71 cnf(fact_rel__simps_I22_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u7669)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u7669))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I12_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I12_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u7671)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7671), c_Int_OPls)) )).
% 12.53/12.71 cnf(fact_rel__simps_I12_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7672), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u7672)), c_Int_OPls)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Bit1__def ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Bit1__def-1, axiom, ( ( c_Int_OBit1(_u7673) = 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)), _u7673)), _u7673)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I26_J ( axiom ) converted to clauses:
% 12.53/12.71 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(_u7675))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u7675)) )).
% 12.53/12.71 cnf(fact_rel__simps_I26_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u7676)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u7676))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I30_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I30_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u7678)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7678), c_Int_OMin)) )).
% 12.53/12.71 cnf(fact_rel__simps_I30_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7679), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u7679)), c_Int_OMin)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I13_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I13_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u7681)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7681), c_Int_OMin)) )).
% 12.53/12.71 cnf(fact_rel__simps_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7682), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u7682)), c_Int_OMin)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I9_J ( axiom ) converted to clauses:
% 12.53/12.71 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(_u7684))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u7684)) )).
% 12.53/12.71 cnf(fact_rel__simps_I9_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u7685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u7685))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_neg__number__of__Bit1 ( axiom ) converted to clauses:
% 12.53/12.71 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(_u7687)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7687))) )).
% 12.53/12.71 cnf(fact_neg__number__of__Bit1-2, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7688))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u7688)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_eq__int__code_I4_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_eq__int__code_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u7689))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_eq__int__code_I10_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_eq__int__code_I10_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u7690)), c_Int_OPls)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_minus__Bit1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_minus__Bit1-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(_u7691)) = c_Int_OBit1(c_Int_Opred(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7691)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_eq__int__code_I8_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_eq__int__code_I8_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u7693))) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), _u7693)) )).
% 12.53/12.71 cnf(fact_eq__int__code_I8_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), _u7694)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u7694))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_eq__int__code_I12_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_eq__int__code_I12_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u7696)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u7696), c_Int_OMin)) )).
% 12.53/12.71 cnf(fact_eq__int__code_I12_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u7697), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u7697)), c_Int_OMin)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_iszero__number__of__Bit1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_iszero__number__of__Bit1-1, axiom, ( ~class_Int_Onumber__ring(_u7698) | ~class_Int_Oring__char__0(_u7698) | ~c_Int_Oiszero(_u7698, hAPP(c_Int_Onumber__class_Onumber__of(_u7698), c_Int_OBit1(_u7699))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_succ__Pls ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_succ__Pls-1, axiom, ( ( c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_number__of__Bit1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_number__of__Bit1-1, axiom, ( ~class_Int_Onumber__ring(_u7700) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u7700), c_Int_OBit1(_u7701)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7700), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7700), c_Groups_Oone__class_Oone(_u7700)), hAPP(c_Int_Onumber__class_Onumber__of(_u7700), _u7701))), hAPP(c_Int_Onumber__class_Onumber__of(_u7700), _u7701))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mult__numeral__1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mult__numeral__1-1, axiom, ( ~class_Int_Onumber__ring(_u7702) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7702), hAPP(c_Int_Onumber__class_Onumber__of(_u7702), c_Int_OBit1(c_Int_OPls))), _u7703) = _u7703) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mult__numeral__1__right ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mult__numeral__1__right-1, axiom, ( ~class_Int_Onumber__ring(_u7704) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7704), _u7705), hAPP(c_Int_Onumber__class_Onumber__of(_u7704), c_Int_OBit1(c_Int_OPls))) = _u7705) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_semiring__norm_I110_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_semiring__norm_I110_J-1, axiom, ( ~class_Int_Onumber__ring(_u7706) | ( c_Groups_Oone__class_Oone(_u7706) = hAPP(c_Int_Onumber__class_Onumber__of(_u7706), c_Int_OBit1(c_Int_OPls))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_numeral__1__eq__1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_numeral__1__eq__1-1, axiom, ( ~class_Int_Onumber__ring(_u7707) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u7707), c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(_u7707)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I29_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I29_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u7709)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7709), c_Int_OPls)) )).
% 12.53/12.71 cnf(fact_rel__simps_I29_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7710), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u7710)), c_Int_OPls)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I5_J ( axiom ) converted to clauses:
% 12.53/12.71 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(_u7712))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u7712)) )).
% 12.53/12.71 cnf(fact_rel__simps_I5_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u7713)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u7713))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_divide__Numeral1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_divide__Numeral1-1, axiom, ( ~class_Fields_Ofield(_u7714) | ~class_Int_Onumber__ring(_u7714) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7714), _u7715), hAPP(c_Int_Onumber__class_Onumber__of(_u7714), c_Int_OBit1(c_Int_OPls))) = _u7715) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_divide__numeral__1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_divide__numeral__1-1, axiom, ( ~class_Fields_Ofield(_u7716) | ~class_Int_Onumber__ring(_u7716) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7716), _u7717), hAPP(c_Int_Onumber__class_Onumber__of(_u7716), c_Int_OBit1(c_Int_OPls))) = _u7717) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_one__is__num__one ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_one__is__num__one-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Numeral1__eq1__nat ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Numeral1__eq1__nat-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__numeral__1__eq__1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_nat__numeral__1__eq__1-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_diff__bin__simps_I4_J ( axiom ) converted to clauses:
% 12.53/12.71 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(_u7718)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u7718))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_minus__Min ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_minus__Min-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OMin) = c_Int_OBit1(c_Int_OPls)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J-1, axiom, ( c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_not__iszero__Numeral1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_not__iszero__Numeral1-1, axiom, ( ~class_Int_Onumber__ring(_u7719) | ~c_Int_Oiszero(_u7719, hAPP(c_Int_Onumber__class_Onumber__of(_u7719), c_Int_OBit1(c_Int_OPls))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_numeral__1__eq__Suc__0 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_numeral__1__eq__Suc__0-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_numeral__3__eq__3 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_numeral__3__eq__3-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_power3__eq__cube ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_power3__eq__cube-1, axiom, ( ~class_Groups_Omonoid__mult(_u7720) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7720), _u7721), 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(_u7720), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7720), _u7721), _u7721)), _u7721)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Suc3__eq__add__3 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Suc3__eq__add__3-1, axiom, ( ( hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u7722))) = 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)))), _u7722)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_transfer__int__nat__numerals_I4_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_transfer__int__nat__numerals_I4_J-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_transfer__nat__int__numerals_I4_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_transfer__nat__int__numerals_I4_J-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_le__special_I2_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_le__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u7723) | ~class_Rings_Olinordered__idom(_u7723) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7723), c_Groups_Oone__class_Oone(_u7723)), hAPP(c_Int_Onumber__class_Onumber__of(_u7723), _u7724))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u7724)) )).
% 12.53/12.71 cnf(fact_le__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u7723) | ~class_Rings_Olinordered__idom(_u7723) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u7724)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7723), c_Groups_Oone__class_Oone(_u7723)), hAPP(c_Int_Onumber__class_Onumber__of(_u7723), _u7724))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_le__special_I4_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_le__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u7725) | ~class_Rings_Olinordered__idom(_u7725) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7725), hAPP(c_Int_Onumber__class_Onumber__of(_u7725), _u7726)), c_Groups_Oone__class_Oone(_u7725))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7726), c_Int_OBit1(c_Int_OPls))) )).
% 12.53/12.71 cnf(fact_le__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u7725) | ~class_Rings_Olinordered__idom(_u7725) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7726), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7725), hAPP(c_Int_Onumber__class_Onumber__of(_u7725), _u7726)), c_Groups_Oone__class_Oone(_u7725))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_less__special_I2_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_less__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u7727) | ~class_Rings_Olinordered__idom(_u7727) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7727), c_Groups_Oone__class_Oone(_u7727)), hAPP(c_Int_Onumber__class_Onumber__of(_u7727), _u7728))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u7728)) )).
% 12.53/12.71 cnf(fact_less__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u7727) | ~class_Rings_Olinordered__idom(_u7727) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u7728)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7727), c_Groups_Oone__class_Oone(_u7727)), hAPP(c_Int_Onumber__class_Onumber__of(_u7727), _u7728))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_less__special_I4_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_less__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u7729) | ~class_Rings_Olinordered__idom(_u7729) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7729), hAPP(c_Int_Onumber__class_Onumber__of(_u7729), _u7730)), c_Groups_Oone__class_Oone(_u7729))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7730), c_Int_OBit1(c_Int_OPls))) )).
% 12.53/12.71 cnf(fact_less__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u7729) | ~class_Rings_Olinordered__idom(_u7729) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7730), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7729), hAPP(c_Int_Onumber__class_Onumber__of(_u7729), _u7730)), c_Groups_Oone__class_Oone(_u7729))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_add__special_I3_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_add__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u7731) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7731), hAPP(c_Int_Onumber__class_Onumber__of(_u7731), _u7732)), c_Groups_Oone__class_Oone(_u7731)) = hAPP(c_Int_Onumber__class_Onumber__of(_u7731), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7732), c_Int_OBit1(c_Int_OPls)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_add__special_I2_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_add__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u7733) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7733), c_Groups_Oone__class_Oone(_u7733)), hAPP(c_Int_Onumber__class_Onumber__of(_u7733), _u7734)) = hAPP(c_Int_Onumber__class_Onumber__of(_u7733), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u7734))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Suc__diff__eq__diff__pred ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7735)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7736)), _u7735) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7736), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7735), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls))))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__gcd_Osimps ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_nat__gcd_Osimps-1, axiom, ( ( _u7739 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u7741, _u7739) = _u7741) )).
% 12.53/12.71 cnf(fact_nat__gcd_Osimps-2, axiom, ( ( _u7740 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u7742, _u7740) = c_Nitpick_Onat__gcd(_u7740, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7742, _u7740))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Suc__mod__eq__add3__mod__number__of ( axiom ) converted to clauses:
% 12.53/12.71 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, _u7743))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7744)) = 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)))), _u7743), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7744))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Suc__mod__eq__add3__mod ( axiom ) converted to clauses:
% 12.53/12.71 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, _u7745))), _u7746) = 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)))), _u7745), _u7746)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod__Suc__eq__mod__add3 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod__Suc__eq__mod__add3-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7747, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u7748)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7747, 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)))), _u7748))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Suc__div__eq__add3__div__number__of ( axiom ) converted to clauses:
% 12.53/12.71 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, _u7749)))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7750)) = 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)))), _u7749)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7750))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Suc__div__eq__add3__div ( axiom ) converted to clauses:
% 12.53/12.71 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, _u7751)))), _u7752) = 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)))), _u7751)), _u7752)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__Suc__eq__div__add3 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_div__Suc__eq__div__add3-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7753), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u7754)))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7753), 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)))), _u7754))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nitpick_Oint__gcd__def ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Nitpick_Oint__gcd__def-1, axiom, ( ( hAPP(hAPP(c_Nitpick_Oint__gcd, _u7755), _u7756) = 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), _u7755)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7756))))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zmod__number__of__Bit1 ( axiom ) converted to clauses:
% 12.53/12.71 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), _u7759))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u7761)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u7759))) = 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), _u7761), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7759)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.53/12.71 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), _u7760))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u7762)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u7760))) = 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), _u7762)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7760)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_neg__zmod__mult__2 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_neg__zmod__mult__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7763), 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)))), _u7764)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u7763)) = 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), _u7764), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u7763))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_pos__zdiv__mult__2 ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u7765)) | ( 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)))), _u7766))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u7765)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7766), _u7765)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I50_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I50_J-1, axiom, ( ( c_Int_OBit1(_u7767) != c_Int_OBit0(_u7768)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I49_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I49_J-1, axiom, ( ( c_Int_OBit0(_u7769) != c_Int_OBit1(_u7770)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I44_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I44_J-1, axiom, ( ( c_Int_OBit0(_u7772) != c_Int_OPls) | ( _u7772 = c_Int_OPls) )).
% 12.53/12.71 cnf(fact_rel__simps_I44_J-2, axiom, ( ( _u7773 != c_Int_OPls) | ( c_Int_OBit0(_u7773) = c_Int_OPls) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I38_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I38_J-1, axiom, ( ( c_Int_OPls != c_Int_OBit0(_u7775)) | ( c_Int_OPls = _u7775) )).
% 12.53/12.71 cnf(fact_rel__simps_I38_J-2, axiom, ( ( c_Int_OPls != _u7776) | ( c_Int_OPls = c_Int_OBit0(_u7776)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Bit0__Pls ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Bit0__Pls-1, axiom, ( ( c_Int_OBit0(c_Int_OPls) = c_Int_OPls) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_less__eq__int__code_I13_J ( axiom ) converted to clauses:
% 12.53/12.71 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(_u7779)), c_Int_OBit0(_u7781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7779), _u7781)) )).
% 12.53/12.71 cnf(fact_less__eq__int__code_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7780), _u7782)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u7780)), c_Int_OBit0(_u7782))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I31_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I31_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u7785)), c_Int_OBit0(_u7787))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7785), _u7787)) )).
% 12.53/12.71 cnf(fact_rel__simps_I31_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7786), _u7788)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u7786)), c_Int_OBit0(_u7788))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I14_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I14_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u7791)), c_Int_OBit0(_u7793))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7791), _u7793)) )).
% 12.53/12.71 cnf(fact_rel__simps_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7792), _u7794)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u7792)), c_Int_OBit0(_u7794))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_less__int__code_I13_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_less__int__code_I13_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u7797)), c_Int_OBit0(_u7799))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7797), _u7799)) )).
% 12.53/12.71 cnf(fact_less__int__code_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7798), _u7800)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u7798)), c_Int_OBit0(_u7800))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_add__Bit0__Bit0 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_add__Bit0__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u7801)), c_Int_OBit0(_u7802)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7801), _u7802))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Bit0__def ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Bit0__def-1, axiom, ( ( c_Int_OBit0(_u7803) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7803), _u7803)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I48_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I48_J-1, axiom, ( ( c_Int_OBit0(_u7806) != c_Int_OBit0(_u7808)) | ( _u7806 = _u7808) )).
% 12.53/12.71 cnf(fact_rel__simps_I48_J-2, axiom, ( ( _u7807 != _u7809) | ( c_Int_OBit0(_u7807) = c_Int_OBit0(_u7809)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I45_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I45_J-1, axiom, ( ( c_Int_OBit0(_u7810) != c_Int_OMin) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I42_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I42_J-1, axiom, ( ( c_Int_OMin != c_Int_OBit0(_u7811)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_minus__Bit0 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_minus__Bit0-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit0(_u7812)) = c_Int_OBit0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7812))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_diff__bin__simps_I7_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_diff__bin__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u7813)), c_Int_OBit0(_u7814)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7813), _u7814))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mult__Bit0 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mult__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit0(_u7815)), _u7816) = c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7815), _u7816))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_eq__int__code_I13_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_eq__int__code_I13_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u7819)), c_Int_OBit0(_u7821))) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u7819), _u7821)) )).
% 12.53/12.71 cnf(fact_eq__int__code_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u7820), _u7822)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u7820)), c_Int_OBit0(_u7822))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_bin__less__0__simps_I3_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_bin__less__0__simps_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u7824)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7824), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71 cnf(fact_bin__less__0__simps_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7825), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u7825)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I21_J ( axiom ) converted to clauses:
% 12.53/12.71 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(_u7827))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u7827)) )).
% 12.53/12.71 cnf(fact_rel__simps_I21_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u7828)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u7828))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I27_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I27_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u7830)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7830), c_Int_OPls)) )).
% 12.53/12.71 cnf(fact_rel__simps_I27_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7831), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u7831)), c_Int_OPls)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I32_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I32_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u7834)), c_Int_OBit1(_u7836))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7834), _u7836)) )).
% 12.53/12.71 cnf(fact_rel__simps_I32_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7835), _u7837)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u7835)), c_Int_OBit1(_u7837))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_less__eq__int__code_I14_J ( axiom ) converted to clauses:
% 12.53/12.71 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(_u7840)), c_Int_OBit1(_u7842))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7840), _u7842)) )).
% 12.53/12.71 cnf(fact_less__eq__int__code_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7841), _u7843)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u7841)), c_Int_OBit1(_u7843))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I10_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I10_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u7845)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7845), c_Int_OPls)) )).
% 12.53/12.71 cnf(fact_rel__simps_I10_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7846), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u7846)), c_Int_OPls)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I4_J ( axiom ) converted to clauses:
% 12.53/12.71 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(_u7848))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u7848)) )).
% 12.53/12.71 cnf(fact_rel__simps_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u7849)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u7849))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_less__int__code_I15_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_less__int__code_I15_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u7852)), c_Int_OBit0(_u7854))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7852), _u7854)) )).
% 12.53/12.71 cnf(fact_less__int__code_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7853), _u7855)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u7853)), c_Int_OBit0(_u7855))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I16_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I16_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u7858)), c_Int_OBit0(_u7860))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7858), _u7860)) )).
% 12.53/12.71 cnf(fact_rel__simps_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7859), _u7861)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u7859)), c_Int_OBit0(_u7861))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_add__Bit1__Bit0 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_add__Bit1__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u7862)), c_Int_OBit0(_u7863)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7862), _u7863))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_add__Bit0__Bit1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_add__Bit0__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u7864)), c_Int_OBit1(_u7865)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7864), _u7865))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_diff__bin__simps_I3_J ( axiom ) converted to clauses:
% 12.53/12.71 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(_u7866)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), _u7866))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_diff__bin__simps_I10_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_diff__bin__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u7867)), c_Int_OBit1(_u7868)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7867), _u7868))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_diff__bin__simps_I9_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_diff__bin__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u7869)), c_Int_OBit0(_u7870)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7869), _u7870))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I28_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I28_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u7872)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7872), c_Int_OMin)) )).
% 12.53/12.71 cnf(fact_rel__simps_I28_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7873), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u7873)), c_Int_OMin)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I8_J ( axiom ) converted to clauses:
% 12.53/12.71 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(_u7875))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u7875)) )).
% 12.53/12.71 cnf(fact_rel__simps_I8_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u7876)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u7876))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zdiv__number__of__Bit0 ( axiom ) converted to clauses:
% 12.53/12.71 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(_u7877))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u7878))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7877)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7878))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_neg__number__of__Bit0 ( axiom ) converted to clauses:
% 12.53/12.71 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(_u7880)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7880))) )).
% 12.53/12.71 cnf(fact_neg__number__of__Bit0-2, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7881))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u7881)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_pred__Bit0 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_pred__Bit0-1, axiom, ( ( c_Int_Opred(c_Int_OBit0(_u7882)) = c_Int_OBit1(c_Int_Opred(_u7882))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_pred__Bit1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_pred__Bit1-1, axiom, ( ( c_Int_Opred(c_Int_OBit1(_u7883)) = c_Int_OBit0(_u7883)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_eq__int__code_I9_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_eq__int__code_I9_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u7885)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u7885), c_Int_OPls)) )).
% 12.53/12.71 cnf(fact_eq__int__code_I9_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u7886), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u7886)), c_Int_OPls)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_eq__int__code_I3_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_eq__int__code_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u7888))) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), _u7888)) )).
% 12.53/12.71 cnf(fact_eq__int__code_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), _u7889)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u7889))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_eq__int__code_I15_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_eq__int__code_I15_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u7890)), c_Int_OBit0(_u7891))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_eq__int__code_I14_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_eq__int__code_I14_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u7892)), c_Int_OBit1(_u7893))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_pred__Min ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_pred__Min-1, axiom, ( ( c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_eq__int__code_I11_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_eq__int__code_I11_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u7894)), c_Int_OMin)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_eq__int__code_I7_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_eq__int__code_I7_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u7895))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_iszero__number__of__Bit0 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_iszero__number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u7896) | ~class_Int_Oring__char__0(_u7896) | ~c_Int_Oiszero(_u7896, hAPP(c_Int_Onumber__class_Onumber__of(_u7896), c_Int_OBit0(_u7897))) | c_Int_Oiszero(_u7896, hAPP(c_Int_Onumber__class_Onumber__of(_u7896), _u7897)) )).
% 12.53/12.71 cnf(fact_iszero__number__of__Bit0-2, axiom, ( ~class_Int_Onumber__ring(_u7896) | ~class_Int_Oring__char__0(_u7896) | ~c_Int_Oiszero(_u7896, hAPP(c_Int_Onumber__class_Onumber__of(_u7896), _u7897)) | c_Int_Oiszero(_u7896, hAPP(c_Int_Onumber__class_Onumber__of(_u7896), c_Int_OBit0(_u7897))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_succ__Bit1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_succ__Bit1-1, axiom, ( ( c_Int_Osucc(c_Int_OBit1(_u7898)) = c_Int_OBit0(c_Int_Osucc(_u7898))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_succ__Bit0 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_succ__Bit0-1, axiom, ( ( c_Int_Osucc(c_Int_OBit0(_u7899)) = c_Int_OBit1(_u7899)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_number__of__Bit0 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u7900) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u7900), c_Int_OBit0(_u7901)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7900), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7900), c_Groups_Ozero__class_Ozero(_u7900)), hAPP(c_Int_Onumber__class_Onumber__of(_u7900), _u7901))), hAPP(c_Int_Onumber__class_Onumber__of(_u7900), _u7901))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I15_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I15_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u7904)), c_Int_OBit1(_u7906))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7904), _u7906)) )).
% 12.53/12.71 cnf(fact_rel__simps_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7905), _u7907)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u7905)), c_Int_OBit1(_u7907))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_less__int__code_I14_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_less__int__code_I14_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u7910)), c_Int_OBit1(_u7912))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7910), _u7912)) )).
% 12.53/12.71 cnf(fact_less__int__code_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7911), _u7913)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u7911)), c_Int_OBit1(_u7913))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I33_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I33_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u7916)), c_Int_OBit0(_u7918))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7916), _u7918)) )).
% 12.53/12.71 cnf(fact_rel__simps_I33_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7917), _u7919)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u7917)), c_Int_OBit0(_u7919))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_less__eq__int__code_I15_J ( axiom ) converted to clauses:
% 12.53/12.71 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(_u7922)), c_Int_OBit0(_u7924))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7922), _u7924)) )).
% 12.53/12.71 cnf(fact_less__eq__int__code_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7923), _u7925)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u7923)), c_Int_OBit0(_u7925))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_card__UNIV__bool ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_card__UNIV__bool-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool, tc_HOL_Obool))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mult__Bit1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mult__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit1(_u7926)), _u7927) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7926), _u7927))), _u7927)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I25_J ( axiom ) converted to clauses:
% 12.53/12.71 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(_u7929))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u7929)) )).
% 12.53/12.71 cnf(fact_rel__simps_I25_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u7930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u7930))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_rel__simps_I11_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_rel__simps_I11_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u7932)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7932), c_Int_OMin)) )).
% 12.53/12.71 cnf(fact_rel__simps_I11_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7933), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u7933)), c_Int_OMin)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_diff__bin__simps_I5_J ( axiom ) converted to clauses:
% 12.53/12.71 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(_u7934)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u7934))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_diff__bin__simps_I6_J ( axiom ) converted to clauses:
% 12.53/12.71 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(_u7935)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u7935))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_diff__bin__simps_I8_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_diff__bin__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u7936)), c_Int_OBit1(_u7937)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_Opred(_u7936)), _u7937))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_add__Bit1__Bit1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_add__Bit1__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u7938)), c_Int_OBit1(_u7939)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7938), c_Int_Osucc(_u7939)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_double__number__of__Bit0 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_double__number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u7940) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7940), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7940), c_Groups_Oone__class_Oone(_u7940)), c_Groups_Oone__class_Oone(_u7940))), hAPP(c_Int_Onumber__class_Onumber__of(_u7940), _u7941)) = hAPP(c_Int_Onumber__class_Onumber__of(_u7940), c_Int_OBit0(_u7941))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_number__of1 ( axiom ) converted to clauses:
% 12.53/12.71 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), _u7942))) | 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(_u7942)))) )).
% 12.53/12.71 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), _u7942))) | 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(_u7942)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J-1, axiom, ( c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mult__2__right ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mult__2__right-1, axiom, ( ~class_Int_Onumber__ring(_u7943) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7943), _u7944), hAPP(c_Int_Onumber__class_Onumber__of(_u7943), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7943), _u7944), _u7944)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mult__2 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mult__2-1, axiom, ( ~class_Int_Onumber__ring(_u7945) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7945), hAPP(c_Int_Onumber__class_Onumber__of(_u7945), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u7946) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7945), _u7946), _u7946)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_one__add__one__is__two ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_one__add__one__is__two-1, axiom, ( ~class_Int_Onumber__ring(_u7947) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7947), c_Groups_Oone__class_Oone(_u7947)), c_Groups_Oone__class_Oone(_u7947)) = hAPP(c_Int_Onumber__class_Onumber__of(_u7947), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zero__power2 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zero__power2-1, axiom, ( ~class_Rings_Osemiring__1(_u7948) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7948), c_Groups_Ozero__class_Ozero(_u7948)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u7948)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zero__eq__power2 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zero__eq__power2-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u7949) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7949), _u7950), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(_u7949)) | ( _u7950 = c_Groups_Ozero__class_Ozero(_u7949)) )).
% 12.53/12.71 cnf(fact_zero__eq__power2-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u7949) | ( _u7950 != c_Groups_Ozero__class_Ozero(_u7949)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7949), _u7950), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u7949)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_semiring__norm_I115_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_semiring__norm_I115_J-1, axiom, ( ( hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_numeral__2__eq__2 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_numeral__2__eq__2-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7951) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7951), _u7952), _u7952) = hAPP(hAPP(c_Power_Opower__class_Opower(_u7951), _u7952), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_power2__eq__square ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_power2__eq__square-1, axiom, ( ~class_Groups_Omonoid__mult(_u7953) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7953), _u7954), 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(_u7953), _u7954), _u7954)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_add__2__eq__Suc_H ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_add__2__eq__Suc_H-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7955), 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, _u7955))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_add__2__eq__Suc ( axiom ) converted to clauses:
% 12.53/12.71 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)))), _u7956) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u7956))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_one__power2 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_one__power2-1, axiom, ( ~class_Rings_Osemiring__1(_u7957) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7957), c_Groups_Oone__class_Oone(_u7957)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u7957)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_power2__minus ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_power2__minus-1, axiom, ( ~class_Rings_Oring__1(_u7958) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7958), hAPP(c_Groups_Ouminus__class_Ouminus(_u7958), _u7959)), 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(_u7958), _u7959), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__mult__2__right ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_nat__mult__2__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7960), 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), _u7960), _u7960)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__mult__2 ( axiom ) converted to clauses:
% 12.53/12.71 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)))), _u7961) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7961), _u7961)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_power__even__eq ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_power__even__eq-1, axiom, ( ~class_Groups_Omonoid__mult(_u7962) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7962), _u7963), 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)))), _u7964)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u7962), hAPP(hAPP(c_Power_Opower__class_Opower(_u7962), _u7963), _u7964)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_transfer__int__nat__numerals_I3_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_transfer__int__nat__numerals_I3_J-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_transfer__nat__int__numerals_I3_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_transfer__nat__int__numerals_I3_J-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_power2__abs ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_power2__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u7965) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7965), hAPP(c_Groups_Oabs__class_Oabs(_u7965), _u7966)), 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(_u7965), _u7966), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_abs__power2 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_abs__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u7967) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7967), hAPP(hAPP(c_Power_Opower__class_Opower(_u7967), _u7968), 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(_u7967), _u7968), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__1__add__1 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_nat__1__add__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod2__Suc__Suc ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_mod2__Suc__Suc-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u7969)), 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, _u7969, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div2__Suc__Suc ( axiom ) converted to clauses:
% 12.53/12.71 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, _u7970))), 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), _u7970), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zmod__number__of__Bit0 ( axiom ) converted to clauses:
% 12.53/12.71 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(_u7971)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u7972))) = hAPP(hAPP(c_Groups_Otimes__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), _u7971), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7972)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_add__self__div__2 ( axiom ) converted to clauses:
% 12.53/12.71 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), _u7973), _u7973)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _u7973) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_half__gt__zero ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_half__gt__zero-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u7974) | ~class_Int_Onumber__ring(_u7974) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7974), c_Groups_Ozero__class_Ozero(_u7974)), _u7975)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7974), c_Groups_Ozero__class_Ozero(_u7974)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7974), _u7975), hAPP(c_Int_Onumber__class_Onumber__of(_u7974), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_half__gt__zero__iff ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_half__gt__zero__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u7976) | ~class_Int_Onumber__ring(_u7976) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7976), c_Groups_Ozero__class_Ozero(_u7976)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7976), _u7977), hAPP(c_Int_Onumber__class_Onumber__of(_u7976), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7976), c_Groups_Ozero__class_Ozero(_u7976)), _u7977)) )).
% 12.53/12.71 cnf(fact_half__gt__zero__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u7976) | ~class_Int_Onumber__ring(_u7976) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7976), c_Groups_Ozero__class_Ozero(_u7976)), _u7977)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7976), c_Groups_Ozero__class_Ozero(_u7976)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7976), _u7977), hAPP(c_Int_Onumber__class_Onumber__of(_u7976), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zero__le__power2 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zero__le__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u7978) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7978), c_Groups_Ozero__class_Ozero(_u7978)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7978), _u7979), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_power2__le__imp__le ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_power2__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7980) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7980), hAPP(hAPP(c_Power_Opower__class_Opower(_u7980), _u7981), 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(_u7980), _u7982), 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(_u7980), c_Groups_Ozero__class_Ozero(_u7980)), _u7982)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7980), _u7981), _u7982)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_power2__eq__imp__eq ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_power2__eq__imp__eq-1, axiom, ( ~class_Rings_Olinordered__semidom(_u7983) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7983), _u7984), 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(_u7983), _u7985), 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(_u7983), c_Groups_Ozero__class_Ozero(_u7983)), _u7984)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7983), c_Groups_Ozero__class_Ozero(_u7983)), _u7985)) | ( _u7984 = _u7985) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_power2__less__0 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_power2__less__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u7986) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7986), hAPP(hAPP(c_Power_Opower__class_Opower(_u7986), _u7987), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u7986))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zero__less__power2 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zero__less__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u7988) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7988), c_Groups_Ozero__class_Ozero(_u7988)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7988), _u7989), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u7989 != c_Groups_Ozero__class_Ozero(_u7988)) )).
% 12.53/12.71 cnf(fact_zero__less__power2-2, axiom, ( ~class_Rings_Olinordered__idom(_u7988) | ( _u7989 = c_Groups_Ozero__class_Ozero(_u7988)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7988), c_Groups_Ozero__class_Ozero(_u7988)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7988), _u7989), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_sum__power2__eq__zero__iff ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_sum__power2__eq__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u7990) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7990), hAPP(hAPP(c_Power_Opower__class_Opower(_u7990), _u7991), 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(_u7990), _u7992), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u7990)) | ( _u7991 = c_Groups_Ozero__class_Ozero(_u7990)) )).
% 12.53/12.71 cnf(fact_sum__power2__eq__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u7990) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7990), hAPP(hAPP(c_Power_Opower__class_Opower(_u7990), _u7991), 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(_u7990), _u7992), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u7990)) | ( _u7992 = c_Groups_Ozero__class_Ozero(_u7990)) )).
% 12.53/12.71 cnf(fact_sum__power2__eq__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u7990) | ( _u7991 != c_Groups_Ozero__class_Ozero(_u7990)) | ( _u7992 != c_Groups_Ozero__class_Ozero(_u7990)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7990), hAPP(hAPP(c_Power_Opower__class_Opower(_u7990), _u7991), 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(_u7990), _u7992), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(_u7990)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_power2__eq__square__number__of ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_power2__eq__square__number__of-1, axiom, ( ~class_Groups_Omonoid__mult(_u7993) | ~class_Int_Onumber(_u7993) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7993), hAPP(c_Int_Onumber__class_Onumber__of(_u7993), _u7994)), 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(_u7993), hAPP(c_Int_Onumber__class_Onumber__of(_u7993), _u7994)), hAPP(c_Int_Onumber__class_Onumber__of(_u7993), _u7994))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_less__2__cases ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_less__2__cases-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7995), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ( _u7995 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7995 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_nat__2 ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_nat__2-1, axiom, ( ( hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_power2__eq__1__iff ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_power2__eq__1__iff-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u7996) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7996), _u7997), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Oone__class_Oone(_u7996)) | ( _u7997 = c_Groups_Oone__class_Oone(_u7996)) | ( _u7997 = hAPP(c_Groups_Ouminus__class_Ouminus(_u7996), c_Groups_Oone__class_Oone(_u7996))) )).
% 12.53/12.71 cnf(fact_power2__eq__1__iff-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u7996) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7996), _u7997), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u7996)) | ( _u7997 != c_Groups_Oone__class_Oone(_u7996)) )).
% 12.53/12.71 cnf(fact_power2__eq__1__iff-3, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u7996) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7996), _u7997), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u7996)) | ( _u7997 != hAPP(c_Groups_Ouminus__class_Ouminus(_u7996), c_Groups_Oone__class_Oone(_u7996))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u7998) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7998), _u7999), 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)))), _u8000)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7998), hAPP(hAPP(c_Power_Opower__class_Opower(_u7998), _u7999), _u8000)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7998), _u7999), _u8000))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_power__minus__even ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_power__minus__even-1, axiom, ( ~class_Rings_Oring__1(_u8001) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8001), hAPP(c_Groups_Ouminus__class_Ouminus(_u8001), _u8002)), 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)))), _u8003)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8001), _u8002), 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)))), _u8003))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_power2__less__imp__less ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_power2__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8004) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8004), hAPP(hAPP(c_Power_Opower__class_Opower(_u8004), _u8005), 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(_u8004), _u8006), 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(_u8004), c_Groups_Ozero__class_Ozero(_u8004)), _u8006)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8004), _u8005), _u8006)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_sum__power2__le__zero__iff ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_sum__power2__le__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u8007) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8007), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8007), hAPP(hAPP(c_Power_Opower__class_Opower(_u8007), _u8008), 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(_u8007), _u8009), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u8007))) | ( _u8008 = c_Groups_Ozero__class_Ozero(_u8007)) )).
% 12.53/12.71 cnf(fact_sum__power2__le__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u8007) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8007), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8007), hAPP(hAPP(c_Power_Opower__class_Opower(_u8007), _u8008), 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(_u8007), _u8009), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u8007))) | ( _u8009 = c_Groups_Ozero__class_Ozero(_u8007)) )).
% 12.53/12.71 cnf(fact_sum__power2__le__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u8007) | ( _u8008 != c_Groups_Ozero__class_Ozero(_u8007)) | ( _u8009 != c_Groups_Ozero__class_Ozero(_u8007)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8007), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8007), hAPP(hAPP(c_Power_Opower__class_Opower(_u8007), _u8008), 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(_u8007), _u8009), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u8007))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_sum__power2__ge__zero ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_sum__power2__ge__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u8010) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8010), c_Groups_Ozero__class_Ozero(_u8010)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8010), hAPP(hAPP(c_Power_Opower__class_Opower(_u8010), _u8011), 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(_u8010), _u8012), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_sum__power2__gt__zero__iff ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_sum__power2__gt__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u8013) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8013), c_Groups_Ozero__class_Ozero(_u8013)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8013), hAPP(hAPP(c_Power_Opower__class_Opower(_u8013), _u8014), 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(_u8013), _u8015), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u8014 != c_Groups_Ozero__class_Ozero(_u8013)) | ( _u8015 != c_Groups_Ozero__class_Ozero(_u8013)) )).
% 12.53/12.71 cnf(fact_sum__power2__gt__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u8013) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8013), c_Groups_Ozero__class_Ozero(_u8013)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8013), hAPP(hAPP(c_Power_Opower__class_Opower(_u8013), _u8014), 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(_u8013), _u8015), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u8014 = c_Groups_Ozero__class_Ozero(_u8013)) )).
% 12.53/12.71 cnf(fact_sum__power2__gt__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u8013) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8013), c_Groups_Ozero__class_Ozero(_u8013)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8013), hAPP(hAPP(c_Power_Opower__class_Opower(_u8013), _u8014), 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(_u8013), _u8015), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u8015 = c_Groups_Ozero__class_Ozero(_u8013)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_not__sum__power2__lt__zero ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_not__sum__power2__lt__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u8016) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8016), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8016), hAPP(hAPP(c_Power_Opower__class_Opower(_u8016), _u8017), 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(_u8016), _u8018), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u8016))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_power2__sum ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_power2__sum-1, axiom, ( ~class_Int_Onumber__ring(_u8019) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8019), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8019), _u8020), _u8021)), 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(_u8019), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8019), hAPP(hAPP(c_Power_Opower__class_Opower(_u8019), _u8020), 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(_u8019), _u8021), 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(_u8019), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8019), hAPP(c_Int_Onumber__class_Onumber__of(_u8019), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u8020)), _u8021))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zero__le__even__power_H ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_zero__le__even__power_H-1, axiom, ( ~class_Rings_Olinordered__idom(_u8022) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8022), c_Groups_Ozero__class_Ozero(_u8022)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8022), _u8023), 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)))), _u8024)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_power__odd__eq ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_power__odd__eq-1, axiom, ( ~class_Groups_Omonoid__mult(_u8025) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8025), _u8026), 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)))), _u8027))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8025), _u8026), hAPP(hAPP(c_Power_Opower__class_Opower(_u8025), hAPP(hAPP(c_Power_Opower__class_Opower(_u8025), _u8026), _u8027)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u8028) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8028), _u8029), 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)))), _u8030))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8028), _u8029), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8028), hAPP(hAPP(c_Power_Opower__class_Opower(_u8028), _u8029), _u8030)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8028), _u8029), _u8030)))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_power__minus1__even ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_power__minus1__even-1, axiom, ( ~class_Rings_Oring__1(_u8031) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8031), hAPP(c_Groups_Ouminus__class_Ouminus(_u8031), c_Groups_Oone__class_Oone(_u8031))), 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)))), _u8032)) = c_Groups_Oone__class_Oone(_u8031)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_zdiv__number__of__Bit1 ( axiom ) converted to clauses:
% 12.53/12.71 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), _u8035))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u8037))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u8035))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8037)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8035))) )).
% 12.53/12.71 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), _u8036))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u8038))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u8036))) = 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), _u8038)), c_Groups_Oone__class_Oone(tc_Int_Oint))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8036))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_mod2__gr__0 ( axiom ) converted to clauses:
% 12.53/12.71 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, _u8040, 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, _u8040, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.53/12.71 cnf(fact_mod2__gr__0-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8041, 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, _u8041, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_div__2__gt__zero ( axiom ) converted to clauses:
% 12.53/12.71 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)), _u8042)) | 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), _u8042), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_power2__diff ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_power2__diff-1, axiom, ( ~class_Int_Onumber__ring(_u8043) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8043), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8043), _u8044), _u8045)), 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(_u8043), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8043), hAPP(hAPP(c_Power_Opower__class_Opower(_u8043), _u8044), 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(_u8043), _u8045), 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(_u8043), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8043), hAPP(c_Int_Onumber__class_Onumber__of(_u8043), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u8044)), _u8045))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_odd__0__le__power__imp__0__le ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_odd__0__le__power__imp__0__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u8046) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8046), c_Groups_Ozero__class_Ozero(_u8046)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8046), _u8047), 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)))), _u8048))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8046), c_Groups_Ozero__class_Ozero(_u8046)), _u8047)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_odd__power__less__zero ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_odd__power__less__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u8049) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8049), _u8050), c_Groups_Ozero__class_Ozero(_u8049))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8049), hAPP(hAPP(c_Power_Opower__class_Opower(_u8049), _u8050), 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)))), _u8051)))), c_Groups_Ozero__class_Ozero(_u8049))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_power__minus1__odd ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_power__minus1__odd-1, axiom, ( ~class_Rings_Oring__1(_u8052) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8052), hAPP(c_Groups_Ouminus__class_Ouminus(_u8052), c_Groups_Oone__class_Oone(_u8052))), 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)))), _u8053))) = hAPP(c_Groups_Ouminus__class_Ouminus(_u8052), c_Groups_Oone__class_Oone(_u8052))) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_power__m1__even ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_power__m1__even-1, axiom, ( ~class_Int_Onumber__ring(_u8054) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8054), hAPP(c_Int_Onumber__class_Onumber__of(_u8054), 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)))), _u8055)) = c_Groups_Oone__class_Oone(_u8054)) )).
% 12.53/12.71
% 12.53/12.71 % Formula: fact_power__m1__odd ( axiom ) converted to clauses:
% 12.53/12.71 cnf(fact_power__m1__odd-1, axiom, ( ~class_Int_Onumber__ring(_u8056) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8056), hAPP(c_Int_Onumber__class_Onumber__of(_u8056), 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)))), _u8057))) = hAPP(c_Int_Onumber__class_Onumber__of(_u8056), c_Int_OMin)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Suc__n__div__2__gt__zero ( axiom ) converted to clauses:
% 12.53/12.72 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)), _u8058)) | 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), _u8058), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_of__nat__double ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_of__nat__double-1, axiom, ( ~class_Rings_Osemiring__1(_u8059) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8060)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8059), 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)))), _u8060))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8059), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8059), hAPP(c_Int_Onat, _u8060))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8059), hAPP(c_Int_Onat, _u8060)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_pos__zmod__mult__2 ( axiom ) converted to clauses:
% 12.53/12.72 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)), _u8061)) | ( 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)))), _u8062)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u8061)) = 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, _u8062, _u8061)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_neg__zdiv__mult__2 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_neg__zdiv__mult__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8063), 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)))), _u8064))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u8063)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8064), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8063)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_int__of__code ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_int__of__code-1, axiom, ( ( _u8066 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Code__Numeral_Oint__of, _u8066) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.72 cnf(fact_int__of__code-2, axiom, ( ( _u8067 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u8067, 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, _u8067) = hAPP(hAPP(c_Groups_Otimes__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), _u8067), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 12.53/12.72 cnf(fact_int__of__code-3, axiom, ( ( _u8067 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u8067, 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, _u8067) = 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), _u8067), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_one__code__numeral__code ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_one__code__numeral__code-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit1(c_Int_OPls))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_int__val__lemma ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_int__val__lemma-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem208(_u8072, _u8071, _u8070)), _u8070)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8071, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8072), hAPP(_u8071, _u8070))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem209(_u8072, _u8071, _u8070)), _u8070)) )).
% 12.53/12.72 cnf(fact_int__val__lemma-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem208(_u8072, _u8071, _u8070)), _u8070)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8071, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8072), hAPP(_u8071, _u8070))) | ( hAPP(_u8071, skolem209(_u8072, _u8071, _u8070)) = _u8072) )).
% 12.53/12.72 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(_u8071, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem208(_u8072, _u8071, _u8070)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u8071, skolem208(_u8072, _u8071, _u8070))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8071, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8072), hAPP(_u8071, _u8070))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem209(_u8072, _u8071, _u8070)), _u8070)) )).
% 12.53/12.72 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(_u8071, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem208(_u8072, _u8071, _u8070)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u8071, skolem208(_u8072, _u8071, _u8070))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8071, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8072), hAPP(_u8071, _u8070))) | ( hAPP(_u8071, skolem209(_u8072, _u8071, _u8070)) = _u8072) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_nat0__intermed__int__val ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_nat0__intermed__int__val-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem210(_u8077, _u8076, _u8075)), _u8075)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8076, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8077)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8077), hAPP(_u8076, _u8075))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem211(_u8077, _u8076, _u8075)), _u8075)) )).
% 12.53/12.72 cnf(fact_nat0__intermed__int__val-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem210(_u8077, _u8076, _u8075)), _u8075)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8076, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8077)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8077), hAPP(_u8076, _u8075))) | ( hAPP(_u8076, skolem211(_u8077, _u8076, _u8075)) = _u8077) )).
% 12.53/12.72 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(_u8076, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem210(_u8077, _u8076, _u8075)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u8076, skolem210(_u8077, _u8076, _u8075))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8076, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8077)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8077), hAPP(_u8076, _u8075))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem211(_u8077, _u8076, _u8075)), _u8075)) )).
% 12.53/12.72 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(_u8076, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem210(_u8077, _u8076, _u8075)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u8076, skolem210(_u8077, _u8076, _u8075))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8076, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8077)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8077), hAPP(_u8076, _u8075))) | ( hAPP(_u8076, skolem211(_u8077, _u8076, _u8075)) = _u8077) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_code__numeral__zero__minus__one ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_code__numeral__zero__minus__one-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_zero__code__numeral__code ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_zero__code__numeral__code-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OPls)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_nat__of__aux__code ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_nat__of__aux__code-1, axiom, ( ( _u8080 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u8080, _u8082) = _u8082) )).
% 12.53/12.72 cnf(fact_nat__of__aux__code-2, axiom, ( ( _u8081 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u8081, _u8083) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u8081), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), hAPP(c_Nat_OSuc, _u8083))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_code__numeral_Osize_I1_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_code__numeral_Osize_I1_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_code__numeral_Osize_I3_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_code__numeral_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_code__numeral_Osimps_I4_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_code__numeral_Osimps_I4_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u8084, _u8085, _u8086, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u8085) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_code__numeral_Osize_I4_J ( axiom ) converted to clauses:
% 12.53/12.72 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(_u8087)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), _u8087)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_code__numeral_Osize_I2_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_code__numeral_Osize_I2_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(_u8088)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(_u8088)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_nat__mod__eq__lemma ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_nat__mod__eq__lemma-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8090, _u8091) != c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8092, _u8091)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8092), _u8090)) | ( _u8090 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8092), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8091), skolem212(_u8092, _u8091, _u8090)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_mod__induct__0 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_mod__induct__0-1, axiom, ( ~hBOOL(hAPP(_u8095, _u8096)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8096), _u8094)) | hBOOL(hAPP(_u8095, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem213(_u8096, _u8095, _u8094)), _u8094)) )).
% 12.53/12.72 cnf(fact_mod__induct__0-2, axiom, ( ~hBOOL(hAPP(_u8095, _u8096)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8096), _u8094)) | hBOOL(hAPP(_u8095, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u8095, skolem213(_u8096, _u8095, _u8094))) )).
% 12.53/12.72 cnf(fact_mod__induct__0-3, axiom, ( ~hBOOL(hAPP(_u8095, _u8096)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8096), _u8094)) | hBOOL(hAPP(_u8095, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u8095, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, skolem213(_u8096, _u8095, _u8094)), _u8094))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_code__numeral_Oinject ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_code__numeral_Oinject-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u8099) != c_Code__Numeral_OSuc__code__numeral(_u8101)) | ( _u8099 = _u8101) )).
% 12.53/12.72 cnf(fact_code__numeral_Oinject-2, axiom, ( ( _u8100 != _u8102) | ( c_Code__Numeral_OSuc__code__numeral(_u8100) = c_Code__Numeral_OSuc__code__numeral(_u8102)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_code__numeral_Osimps_I3_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_code__numeral_Osimps_I3_J-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u8103) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_code__numeral_Osimps_I2_J ( axiom ) converted to clauses:
% 12.53/12.72 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(_u8104)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_code__numeral_Osimps_I5_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_code__numeral_Osimps_I5_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u8105, _u8106, _u8107, c_Code__Numeral_OSuc__code__numeral(_u8108)) = hAPP(_u8107, _u8108)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Suc__code__numeral__minus__one ( axiom ) converted to clauses:
% 12.53/12.72 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(_u8109)), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = _u8109) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_nat__intermed__int__val ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_nat__intermed__int__val-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8112), skolem214(_u8115, _u8114, _u8113, _u8112))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8112), _u8113)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8114, _u8112)), _u8115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8115), hAPP(_u8114, _u8113))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8112), skolem215(_u8115, _u8114, _u8113, _u8112))) )).
% 12.53/12.72 cnf(fact_nat__intermed__int__val-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8112), skolem214(_u8115, _u8114, _u8113, _u8112))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8112), _u8113)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8114, _u8112)), _u8115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8115), hAPP(_u8114, _u8113))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem215(_u8115, _u8114, _u8113, _u8112)), _u8113)) )).
% 12.53/12.72 cnf(fact_nat__intermed__int__val-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8112), skolem214(_u8115, _u8114, _u8113, _u8112))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8112), _u8113)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8114, _u8112)), _u8115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8115), hAPP(_u8114, _u8113))) | ( hAPP(_u8114, skolem215(_u8115, _u8114, _u8113, _u8112)) = _u8115) )).
% 12.53/12.72 cnf(fact_nat__intermed__int__val-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem214(_u8115, _u8114, _u8113, _u8112)), _u8113)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8112), _u8113)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8114, _u8112)), _u8115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8115), hAPP(_u8114, _u8113))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8112), skolem215(_u8115, _u8114, _u8113, _u8112))) )).
% 12.53/12.72 cnf(fact_nat__intermed__int__val-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem214(_u8115, _u8114, _u8113, _u8112)), _u8113)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8112), _u8113)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8114, _u8112)), _u8115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8115), hAPP(_u8114, _u8113))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem215(_u8115, _u8114, _u8113, _u8112)), _u8113)) )).
% 12.53/12.72 cnf(fact_nat__intermed__int__val-6, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem214(_u8115, _u8114, _u8113, _u8112)), _u8113)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8112), _u8113)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8114, _u8112)), _u8115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8115), hAPP(_u8114, _u8113))) | ( hAPP(_u8114, skolem215(_u8115, _u8114, _u8113, _u8112)) = _u8115) )).
% 12.53/12.72 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(_u8114, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem214(_u8115, _u8114, _u8113, _u8112)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u8114, skolem214(_u8115, _u8114, _u8113, _u8112))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8112), _u8113)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8114, _u8112)), _u8115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8115), hAPP(_u8114, _u8113))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8112), skolem215(_u8115, _u8114, _u8113, _u8112))) )).
% 12.53/12.72 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(_u8114, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem214(_u8115, _u8114, _u8113, _u8112)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u8114, skolem214(_u8115, _u8114, _u8113, _u8112))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8112), _u8113)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8114, _u8112)), _u8115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8115), hAPP(_u8114, _u8113))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem215(_u8115, _u8114, _u8113, _u8112)), _u8113)) )).
% 12.53/12.72 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(_u8114, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem214(_u8115, _u8114, _u8113, _u8112)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u8114, skolem214(_u8115, _u8114, _u8113, _u8112))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8112), _u8113)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8114, _u8112)), _u8115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8115), hAPP(_u8114, _u8113))) | ( hAPP(_u8114, skolem215(_u8115, _u8114, _u8113, _u8112)) = _u8115) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_log_Osimps ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_log_Osimps-1, axiom, ( ( c_Random_Olog(_u8118, _u8120) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u8118), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 12.53/12.72 cnf(fact_log_Osimps-2, axiom, ( ( c_Random_Olog(_u8118, _u8120) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u8120), _u8118)) )).
% 12.53/12.72 cnf(fact_log_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u8119), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u8121), _u8119)) | ( c_Random_Olog(_u8119, _u8121) = 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(_u8119, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u8121), _u8119)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_mod__div__decomp ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_mod__div__decomp-1, axiom, ( ~class_Divides_Osemiring__div(_u8122) | ( _u8123 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8122), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8122), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u8122), _u8123), _u8124)), _u8124)), c_Divides_Odiv__class_Omod(_u8122, _u8123, _u8124))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setprod__pos ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setprod__pos-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8126) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8126), c_Groups_Ozero__class_Ozero(_u8126)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8127, _u8126), _u8129), _u8128))) | hBOOL(hAPP(hAPP(c_member(_u8127), skolem216(_u8129, _u8128, _u8127, _u8126)), _u8128)) )).
% 12.53/12.72 cnf(fact_setprod__pos-2, axiom, ( ~class_Rings_Olinordered__semidom(_u8126) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8126), c_Groups_Ozero__class_Ozero(_u8126)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8127, _u8126), _u8129), _u8128))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8126), c_Groups_Ozero__class_Ozero(_u8126)), hAPP(_u8129, skolem216(_u8129, _u8128, _u8127, _u8126)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_minus__shift__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_minus__shift__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u8133), _u8135)) | ( c_Random_Ominus__shift(_u8137, _u8133, _u8135) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u8137), _u8133)), _u8135)) )).
% 12.53/12.72 cnf(fact_minus__shift__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u8134), _u8136)) | ( c_Random_Ominus__shift(_u8138, _u8134, _u8136) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u8134), _u8136)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_inc__shift__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_inc__shift__def-1, axiom, ( ( _u8141 != _u8143) | ( c_Random_Oinc__shift(_u8141, _u8143) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) )).
% 12.53/12.72 cnf(fact_inc__shift__def-2, axiom, ( ( _u8142 = _u8144) | ( c_Random_Oinc__shift(_u8142, _u8144) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u8144), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setprod__nonneg ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setprod__nonneg-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8146) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8146), c_Groups_Ozero__class_Ozero(_u8146)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8147, _u8146), _u8149), _u8148))) | hBOOL(hAPP(hAPP(c_member(_u8147), skolem217(_u8149, _u8148, _u8147, _u8146)), _u8148)) )).
% 12.53/12.72 cnf(fact_setprod__nonneg-2, axiom, ( ~class_Rings_Olinordered__semidom(_u8146) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8146), c_Groups_Ozero__class_Ozero(_u8146)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8147, _u8146), _u8149), _u8148))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8146), c_Groups_Ozero__class_Ozero(_u8146)), hAPP(_u8149, skolem217(_u8149, _u8148, _u8147, _u8146)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_finite__induct ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_finite__induct-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8152), _u8153)) | ~hBOOL(hAPP(_u8154, c_Orderings_Obot__class_Obot(tc_fun(_u8152, tc_HOL_Obool)))) | hBOOL(hAPP(_u8154, _u8153)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8152), skolem219(_u8154, _u8153, _u8152))) )).
% 12.53/12.72 cnf(fact_finite__induct-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8152), _u8153)) | ~hBOOL(hAPP(_u8154, c_Orderings_Obot__class_Obot(tc_fun(_u8152, tc_HOL_Obool)))) | hBOOL(hAPP(_u8154, _u8153)) | ~hBOOL(hAPP(hAPP(c_member(_u8152), skolem218(_u8154, _u8153, _u8152)), skolem219(_u8154, _u8153, _u8152))) )).
% 12.53/12.72 cnf(fact_finite__induct-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8152), _u8153)) | ~hBOOL(hAPP(_u8154, c_Orderings_Obot__class_Obot(tc_fun(_u8152, tc_HOL_Obool)))) | hBOOL(hAPP(_u8154, _u8153)) | hBOOL(hAPP(_u8154, skolem219(_u8154, _u8153, _u8152))) )).
% 12.53/12.72 cnf(fact_finite__induct-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8152), _u8153)) | ~hBOOL(hAPP(_u8154, c_Orderings_Obot__class_Obot(tc_fun(_u8152, tc_HOL_Obool)))) | hBOOL(hAPP(_u8154, _u8153)) | ~hBOOL(hAPP(_u8154, hAPP(hAPP(c_Set_Oinsert(_u8152), skolem218(_u8154, _u8153, _u8152)), skolem219(_u8154, _u8153, _u8152)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_fold1__antimono ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_fold1__antimono-1, axiom, ( ~class_Orderings_Olinorder(_u8155) | ( _u8156 = c_Orderings_Obot__class_Obot(tc_fun(_u8155, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8155, tc_HOL_Obool)), _u8156), _u8157)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8155), _u8157)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8155), hAPP(c_Finite__Set_Ofold1(_u8155, c_Orderings_Oord__class_Omin(_u8155)), _u8157)), hAPP(c_Finite__Set_Ofold1(_u8155, c_Orderings_Oord__class_Omin(_u8155)), _u8156))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_field__le__epsilon ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_field__le__epsilon-1, axiom, ( ~class_Fields_Olinordered__field(_u8159) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8159), _u8160), _u8161)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8159), c_Groups_Ozero__class_Ozero(_u8159)), skolem220(_u8161, _u8160, _u8159))) )).
% 12.53/12.72 cnf(fact_field__le__epsilon-2, axiom, ( ~class_Fields_Olinordered__field(_u8159) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8159), _u8160), _u8161)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8159), _u8160), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8159), _u8161), skolem220(_u8161, _u8160, _u8159)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_subtract__code__numeral__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_subtract__code__numeral__def-1, axiom, ( ( c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_minus__code__numeral__code ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_minus__code__numeral__code-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u8162), _u8163) = hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, _u8162), _u8163)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__0R ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__0R-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u8164), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__0L ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__0L-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8165) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Ofun__left__comm__idem__inf ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Ofun__left__comm__idem__inf-1, axiom, ( ~class_Orderings_Olinorder(_u8166) | c_Finite__Set_Ofun__left__comm__idem(_u8166, _u8166, c_Orderings_Oord__class_Omin(_u8166)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__Suc__Suc ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8167)), hAPP(c_Nat_OSuc, _u8168)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u8167), _u8168))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Min_Oidem ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Min_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u8169) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8169), _u8170), _u8170) = _u8170) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Oinf_Oidem ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Oinf_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u8171) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8171), _u8172), _u8172) = _u8172) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Oinf_Ocommute ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Oinf_Ocommute-1, axiom, ( ~class_Orderings_Olinorder(_u8173) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8173), _u8174), _u8175) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8173), _u8175), _u8174)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Oinf__commute ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Oinf__commute-1, axiom, ( ~class_Orderings_Olinorder(_u8176) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8176), _u8177), _u8178) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8176), _u8178), _u8177)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Oinf_Oleft__idem ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Oinf_Oleft__idem-1, axiom, ( ~class_Orderings_Olinorder(_u8179) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8179), _u8180), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8179), _u8180), _u8181)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8179), _u8180), _u8181)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Oinf__left__idem ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Oinf__left__idem-1, axiom, ( ~class_Orderings_Olinorder(_u8182) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8182), _u8183), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8182), _u8183), _u8184)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8182), _u8183), _u8184)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Oinf_Oleft__commute ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Oinf_Oleft__commute-1, axiom, ( ~class_Orderings_Olinorder(_u8185) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8185), _u8186), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8185), _u8187), _u8188)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8185), _u8187), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8185), _u8186), _u8188))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Oinf__left__commute ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Oinf__left__commute-1, axiom, ( ~class_Orderings_Olinorder(_u8189) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8189), _u8190), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8189), _u8191), _u8192)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8189), _u8191), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8189), _u8190), _u8192))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Oinf_Oassoc ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Oinf_Oassoc-1, axiom, ( ~class_Orderings_Olinorder(_u8193) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8193), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8193), _u8194), _u8195)), _u8196) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8193), _u8194), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8193), _u8195), _u8196))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Oinf__assoc ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Oinf__assoc-1, axiom, ( ~class_Orderings_Olinorder(_u8197) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8197), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8197), _u8198), _u8199)), _u8200) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8197), _u8198), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8197), _u8199), _u8200))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_inf__min ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_inf__min-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u8201) | ~class_Orderings_Olinorder(_u8201) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u8201) = c_Orderings_Oord__class_Omin(_u8201)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__diff ( axiom ) converted to clauses:
% 12.53/12.72 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), _u8202), _u8203)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8204), _u8203)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u8202), _u8204)), _u8203)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__diff__distrib__left ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__diff__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8205) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8205), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8205), _u8206), _u8207)), _u8208) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8205), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8205), _u8206), _u8208)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8205), _u8207), _u8208))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Ole__infE ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Ole__infE-1, axiom, ( ~class_Orderings_Olinorder(_u8209) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8209), _u8210), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8209), _u8211), _u8212))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8209), _u8210), _u8211)) )).
% 12.53/12.72 cnf(fact_min__max_Ole__infE-2, axiom, ( ~class_Orderings_Olinorder(_u8209) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8209), _u8210), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8209), _u8211), _u8212))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8209), _u8210), _u8212)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Oinf__mono ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Oinf__mono-1, axiom, ( ~class_Orderings_Olinorder(_u8213) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8213), _u8214), _u8215)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8213), _u8216), _u8217)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8213), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8213), _u8214), _u8216)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8213), _u8215), _u8217))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Oinf__greatest ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Oinf__greatest-1, axiom, ( ~class_Orderings_Olinorder(_u8218) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8218), _u8219), _u8220)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8218), _u8219), _u8221)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8218), _u8219), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8218), _u8220), _u8221))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Ole__infI ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Ole__infI-1, axiom, ( ~class_Orderings_Olinorder(_u8222) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8222), _u8223), _u8224)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8222), _u8223), _u8225)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8222), _u8223), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8222), _u8224), _u8225))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Oinf__absorb2 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Oinf__absorb2-1, axiom, ( ~class_Orderings_Olinorder(_u8226) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8226), _u8227), _u8228)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8226), _u8228), _u8227) = _u8227) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Oinf__absorb1 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Oinf__absorb1-1, axiom, ( ~class_Orderings_Olinorder(_u8229) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8229), _u8230), _u8231)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8229), _u8230), _u8231) = _u8230) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Ole__infI2 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Ole__infI2-1, axiom, ( ~class_Orderings_Olinorder(_u8232) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8232), _u8233), _u8234)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8232), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8232), _u8235), _u8233)), _u8234)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Ole__infI1 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Ole__infI1-1, axiom, ( ~class_Orderings_Olinorder(_u8236) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8236), _u8237), _u8238)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8236), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8236), _u8237), _u8239)), _u8238)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Ole__inf__iff ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Ole__inf__iff-1, axiom, ( ~class_Orderings_Olinorder(_u8240) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8240), _u8241), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8240), _u8242), _u8243))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8240), _u8241), _u8242)) )).
% 12.53/12.72 cnf(fact_min__max_Ole__inf__iff-2, axiom, ( ~class_Orderings_Olinorder(_u8240) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8240), _u8241), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8240), _u8242), _u8243))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8240), _u8241), _u8243)) )).
% 12.53/12.72 cnf(fact_min__max_Ole__inf__iff-3, axiom, ( ~class_Orderings_Olinorder(_u8240) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8240), _u8241), _u8242)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8240), _u8241), _u8243)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8240), _u8241), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8240), _u8242), _u8243))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Ole__iff__inf ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Ole__iff__inf-1, axiom, ( ~class_Orderings_Olinorder(_u8244) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8244), _u8245), _u8246)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8244), _u8245), _u8246) = _u8245) )).
% 12.53/12.72 cnf(fact_min__max_Ole__iff__inf-2, axiom, ( ~class_Orderings_Olinorder(_u8244) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8244), _u8245), _u8246) != _u8245) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8244), _u8245), _u8246)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Oinf__le2 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Oinf__le2-1, axiom, ( ~class_Orderings_Olinorder(_u8247) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8247), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8247), _u8248), _u8249)), _u8249)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Oinf__le1 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Oinf__le1-1, axiom, ( ~class_Orderings_Olinorder(_u8250) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8250), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8250), _u8251), _u8252)), _u8251)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__le__iff__disj ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__le__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u8253) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8253), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8253), _u8254), _u8255)), _u8256)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8253), _u8254), _u8256)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8253), _u8255), _u8256)) )).
% 12.53/12.72 cnf(fact_min__le__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u8253) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8253), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8253), _u8254), _u8255)), _u8256)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8253), _u8254), _u8256)) )).
% 12.53/12.72 cnf(fact_min__le__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u8253) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8253), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8253), _u8254), _u8255)), _u8256)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8253), _u8255), _u8256)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__add__distrib__left ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__add__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u8257) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8257), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8257), _u8258), _u8259)), _u8260) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8257), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8257), _u8258), _u8260)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8257), _u8259), _u8260))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Oless__infI2 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Oless__infI2-1, axiom, ( ~class_Orderings_Olinorder(_u8261) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8261), _u8262), _u8263)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8261), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8261), _u8264), _u8262)), _u8263)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Oless__infI1 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Oless__infI1-1, axiom, ( ~class_Orderings_Olinorder(_u8265) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8265), _u8266), _u8267)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8265), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8265), _u8266), _u8268)), _u8267)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__less__iff__disj ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__less__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u8269) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8269), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8269), _u8270), _u8271)), _u8272)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8269), _u8270), _u8272)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8269), _u8271), _u8272)) )).
% 12.53/12.72 cnf(fact_min__less__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u8269) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8269), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8269), _u8270), _u8271)), _u8272)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8269), _u8270), _u8272)) )).
% 12.53/12.72 cnf(fact_min__less__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u8269) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8269), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8269), _u8270), _u8271)), _u8272)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8269), _u8271), _u8272)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__less__iff__conj ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__less__iff__conj-1, axiom, ( ~class_Orderings_Olinorder(_u8273) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8273), _u8274), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8273), _u8275), _u8276))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8273), _u8274), _u8275)) )).
% 12.53/12.72 cnf(fact_min__less__iff__conj-2, axiom, ( ~class_Orderings_Olinorder(_u8273) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8273), _u8274), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8273), _u8275), _u8276))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8273), _u8274), _u8276)) )).
% 12.53/12.72 cnf(fact_min__less__iff__conj-3, axiom, ( ~class_Orderings_Olinorder(_u8273) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8273), _u8274), _u8275)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8273), _u8274), _u8276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8273), _u8274), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8273), _u8275), _u8276))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__number__of ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__number__of-1, axiom, ( ~class_Int_Onumber(_u8277) | ~class_Orderings_Oord(_u8277) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8277), hAPP(c_Int_Onumber__class_Onumber__of(_u8277), _u8278)), hAPP(c_Int_Onumber__class_Onumber__of(_u8277), _u8279))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8277), hAPP(c_Int_Onumber__class_Onumber__of(_u8277), _u8278)), hAPP(c_Int_Onumber__class_Onumber__of(_u8277), _u8279)) = hAPP(c_Int_Onumber__class_Onumber__of(_u8277), _u8278)) )).
% 12.53/12.72 cnf(fact_min__number__of-2, axiom, ( ~class_Int_Onumber(_u8277) | ~class_Orderings_Oord(_u8277) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8277), hAPP(c_Int_Onumber__class_Onumber__of(_u8277), _u8278)), hAPP(c_Int_Onumber__class_Onumber__of(_u8277), _u8279))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8277), hAPP(c_Int_Onumber__class_Onumber__of(_u8277), _u8278)), hAPP(c_Int_Onumber__class_Onumber__of(_u8277), _u8279)) = hAPP(c_Int_Onumber__class_Onumber__of(_u8277), _u8279)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Ofold__inf__insert ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Ofold__inf__insert-1, axiom, ( ~class_Orderings_Olinorder(_u8280) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8280), _u8281)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u8280, _u8280, c_Orderings_Oord__class_Omin(_u8280)), _u8282), hAPP(hAPP(c_Set_Oinsert(_u8280), _u8283), _u8281)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8280), _u8283), hAPP(hAPP(c_Finite__Set_Ofold(_u8280, _u8280, c_Orderings_Oord__class_Omin(_u8280)), _u8282), _u8281))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Int__atLeastAtMostL1 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Int__atLeastAtMostL1-1, axiom, ( ~class_Orderings_Olinorder(_u8284) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8284, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8284, _u8285, _u8286)), hAPP(c_SetInterval_Oord__class_OatMost(_u8284), _u8287)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8284, _u8285, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8284), _u8286), _u8287))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Int__atLeastAtMostR1 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Int__atLeastAtMostR1-1, axiom, ( ~class_Orderings_Olinorder(_u8288) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8288, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8288), _u8289)), c_SetInterval_Oord__class_OatLeastAtMost(_u8288, _u8290, _u8291)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8288, _u8290, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8288), _u8289), _u8291))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Ofold__inf__le__inf ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Ofold__inf__le__inf-1, axiom, ( ~class_Orderings_Olinorder(_u8292) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8292), _u8293)) | ~hBOOL(hAPP(hAPP(c_member(_u8292), _u8294), _u8293)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8292), hAPP(hAPP(c_Finite__Set_Ofold(_u8292, _u8292, c_Orderings_Oord__class_Omin(_u8292)), _u8295), _u8293)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8292), _u8294), _u8295))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Ofold1__belowI ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Ofold1__belowI-1, axiom, ( ~class_Orderings_Olinorder(_u8296) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8296), _u8297)) | ~hBOOL(hAPP(hAPP(c_member(_u8296), _u8298), _u8297)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8296), hAPP(c_Finite__Set_Ofold1(_u8296, c_Orderings_Oord__class_Omin(_u8296)), _u8297)), _u8298)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Obelow__fold1__iff ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Obelow__fold1__iff-1, axiom, ( ~class_Orderings_Olinorder(_u8301) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8301), _u8302)) | ( _u8302 = c_Orderings_Obot__class_Obot(tc_fun(_u8301, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8301), _u8303), hAPP(c_Finite__Set_Ofold1(_u8301, c_Orderings_Oord__class_Omin(_u8301)), _u8302))) | ~hBOOL(hAPP(hAPP(c_member(_u8301), _u8299), _u8302)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8301), _u8303), _u8299)) )).
% 12.53/12.72 cnf(fact_min__max_Obelow__fold1__iff-2, axiom, ( ~class_Orderings_Olinorder(_u8301) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8301), _u8302)) | ( _u8302 = c_Orderings_Obot__class_Obot(tc_fun(_u8301, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8301), _u8303), hAPP(c_Finite__Set_Ofold1(_u8301, c_Orderings_Oord__class_Omin(_u8301)), _u8302))) | hBOOL(hAPP(hAPP(c_member(_u8301), skolem221(_u8303, _u8302, _u8301)), _u8302)) )).
% 12.53/12.72 cnf(fact_min__max_Obelow__fold1__iff-3, axiom, ( ~class_Orderings_Olinorder(_u8301) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8301), _u8302)) | ( _u8302 = c_Orderings_Obot__class_Obot(tc_fun(_u8301, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8301), _u8303), hAPP(c_Finite__Set_Ofold1(_u8301, c_Orderings_Oord__class_Omin(_u8301)), _u8302))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8301), _u8303), skolem221(_u8303, _u8302, _u8301))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_fold1__below__iff ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_fold1__below__iff-1, axiom, ( ~class_Orderings_Olinorder(_u8306) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8306), _u8307)) | ( _u8307 = c_Orderings_Obot__class_Obot(tc_fun(_u8306, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8306), hAPP(c_Finite__Set_Ofold1(_u8306, c_Orderings_Oord__class_Omin(_u8306)), _u8307)), _u8308)) | hBOOL(hAPP(hAPP(c_member(_u8306), skolem222(_u8308, _u8307, _u8306)), _u8307)) )).
% 12.53/12.72 cnf(fact_fold1__below__iff-2, axiom, ( ~class_Orderings_Olinorder(_u8306) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8306), _u8307)) | ( _u8307 = c_Orderings_Obot__class_Obot(tc_fun(_u8306, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8306), hAPP(c_Finite__Set_Ofold1(_u8306, c_Orderings_Oord__class_Omin(_u8306)), _u8307)), _u8308)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8306), skolem222(_u8308, _u8307, _u8306)), _u8308)) )).
% 12.53/12.72 cnf(fact_fold1__below__iff-3, axiom, ( ~class_Orderings_Olinorder(_u8306) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8306), _u8307)) | ( _u8307 = c_Orderings_Obot__class_Obot(tc_fun(_u8306, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u8306), _u8305), _u8307)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8306), _u8305), _u8308)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8306), hAPP(c_Finite__Set_Ofold1(_u8306, c_Orderings_Oord__class_Omin(_u8306)), _u8307)), _u8308)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_fold1__strict__below__iff ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_fold1__strict__below__iff-1, axiom, ( ~class_Orderings_Olinorder(_u8311) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8311), _u8312)) | ( _u8312 = c_Orderings_Obot__class_Obot(tc_fun(_u8311, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8311), hAPP(c_Finite__Set_Ofold1(_u8311, c_Orderings_Oord__class_Omin(_u8311)), _u8312)), _u8313)) | hBOOL(hAPP(hAPP(c_member(_u8311), skolem223(_u8313, _u8312, _u8311)), _u8312)) )).
% 12.53/12.72 cnf(fact_fold1__strict__below__iff-2, axiom, ( ~class_Orderings_Olinorder(_u8311) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8311), _u8312)) | ( _u8312 = c_Orderings_Obot__class_Obot(tc_fun(_u8311, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8311), hAPP(c_Finite__Set_Ofold1(_u8311, c_Orderings_Oord__class_Omin(_u8311)), _u8312)), _u8313)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8311), skolem223(_u8313, _u8312, _u8311)), _u8313)) )).
% 12.53/12.72 cnf(fact_fold1__strict__below__iff-3, axiom, ( ~class_Orderings_Olinorder(_u8311) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8311), _u8312)) | ( _u8312 = c_Orderings_Obot__class_Obot(tc_fun(_u8311, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u8311), _u8310), _u8312)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8311), _u8310), _u8313)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8311), hAPP(c_Finite__Set_Ofold1(_u8311, c_Orderings_Oord__class_Omin(_u8311)), _u8312)), _u8313)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_strict__below__fold1__iff ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_strict__below__fold1__iff-1, axiom, ( ~class_Orderings_Olinorder(_u8316) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8316), _u8317)) | ( _u8317 = c_Orderings_Obot__class_Obot(tc_fun(_u8316, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8316), _u8318), hAPP(c_Finite__Set_Ofold1(_u8316, c_Orderings_Oord__class_Omin(_u8316)), _u8317))) | ~hBOOL(hAPP(hAPP(c_member(_u8316), _u8314), _u8317)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8316), _u8318), _u8314)) )).
% 12.53/12.72 cnf(fact_strict__below__fold1__iff-2, axiom, ( ~class_Orderings_Olinorder(_u8316) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8316), _u8317)) | ( _u8317 = c_Orderings_Obot__class_Obot(tc_fun(_u8316, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8316), _u8318), hAPP(c_Finite__Set_Ofold1(_u8316, c_Orderings_Oord__class_Omin(_u8316)), _u8317))) | hBOOL(hAPP(hAPP(c_member(_u8316), skolem224(_u8318, _u8317, _u8316)), _u8317)) )).
% 12.53/12.72 cnf(fact_strict__below__fold1__iff-3, axiom, ( ~class_Orderings_Olinorder(_u8316) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8316), _u8317)) | ( _u8317 = c_Orderings_Obot__class_Obot(tc_fun(_u8316, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8316), _u8318), hAPP(c_Finite__Set_Ofold1(_u8316, c_Orderings_Oord__class_Omin(_u8316)), _u8317))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8316), _u8318), skolem224(_u8318, _u8317, _u8316))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__ord__min ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__ord__min-1, axiom, ( ~class_Orderings_Oord(_u8319) | ( c_Orderings_Oord__class_Omin(_u8319) = c_Orderings_Oord_Omin(_u8319, c_Orderings_Oord__class_Oless__eq(_u8319))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Min_Oremove ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Min_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u8320) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8320), _u8321)) | ~hBOOL(hAPP(hAPP(c_member(_u8320), _u8322), _u8321)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8320, tc_HOL_Obool)), _u8321), hAPP(hAPP(c_Set_Oinsert(_u8320), _u8322), c_Orderings_Obot__class_Obot(tc_fun(_u8320, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8320, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u8320, _u8321) = _u8322) )).
% 12.53/12.72 cnf(fact_Min_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u8320) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8320), _u8321)) | ~hBOOL(hAPP(hAPP(c_member(_u8320), _u8322), _u8321)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8320, tc_HOL_Obool)), _u8321), hAPP(hAPP(c_Set_Oinsert(_u8320), _u8322), c_Orderings_Obot__class_Obot(tc_fun(_u8320, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8320, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u8320, _u8321) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8320), _u8322), c_Big__Operators_Olinorder__class_OMin(_u8320, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8320, tc_HOL_Obool)), _u8321), hAPP(hAPP(c_Set_Oinsert(_u8320), _u8322), c_Orderings_Obot__class_Obot(tc_fun(_u8320, tc_HOL_Obool))))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_OInf__fin_Oremove ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_OInf__fin_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u8323) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8323), _u8324)) | ~hBOOL(hAPP(hAPP(c_member(_u8323), _u8325), _u8324)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8323, tc_HOL_Obool)), _u8324), hAPP(hAPP(c_Set_Oinsert(_u8323), _u8325), c_Orderings_Obot__class_Obot(tc_fun(_u8323, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8323, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u8323, c_Orderings_Oord__class_Omin(_u8323), _u8324) = _u8325) )).
% 12.53/12.72 cnf(fact_min__max_OInf__fin_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u8323) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8323), _u8324)) | ~hBOOL(hAPP(hAPP(c_member(_u8323), _u8325), _u8324)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8323, tc_HOL_Obool)), _u8324), hAPP(hAPP(c_Set_Oinsert(_u8323), _u8325), c_Orderings_Obot__class_Obot(tc_fun(_u8323, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8323, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u8323, c_Orderings_Oord__class_Omin(_u8323), _u8324) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8323), _u8325), c_Big__Operators_Olattice_OInf__fin(_u8323, c_Orderings_Oord__class_Omin(_u8323), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8323, tc_HOL_Obool)), _u8324), hAPP(hAPP(c_Set_Oinsert(_u8323), _u8325), c_Orderings_Obot__class_Obot(tc_fun(_u8323, tc_HOL_Obool))))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Min_Oeq__fold_H ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Min_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u8326) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8326), _u8327)) | hBOOL(hAPP(hAPP(c_member(_u8326), _u8328), _u8327)) | ( c_Big__Operators_Olinorder__class_OMin(_u8326, hAPP(hAPP(c_Set_Oinsert(_u8326), _u8328), _u8327)) = hAPP(hAPP(c_Finite__Set_Ofold(_u8326, _u8326, c_Orderings_Oord__class_Omin(_u8326)), _u8328), _u8327)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_inf__nat__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_inf__nat__def-1, axiom, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Min_Osingleton ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Min_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u8329) | ( c_Big__Operators_Olinorder__class_OMin(_u8329, hAPP(hAPP(c_Set_Oinsert(_u8329), _u8330), c_Orderings_Obot__class_Obot(tc_fun(_u8329, tc_HOL_Obool)))) = _u8330) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_OInf__fin_Oin__idem ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_OInf__fin_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u8331) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8331), _u8332)) | ~hBOOL(hAPP(hAPP(c_member(_u8331), _u8333), _u8332)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8331), _u8333), c_Big__Operators_Olattice_OInf__fin(_u8331, c_Orderings_Oord__class_Omin(_u8331), _u8332)) = c_Big__Operators_Olattice_OInf__fin(_u8331, c_Orderings_Oord__class_Omin(_u8331), _u8332)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Min__le ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Min__le-1, axiom, ( ~class_Orderings_Olinorder(_u8334) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8334), _u8335)) | ~hBOOL(hAPP(hAPP(c_member(_u8334), _u8336), _u8335)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8334), c_Big__Operators_Olinorder__class_OMin(_u8334, _u8335)), _u8336)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_OInf__fin_Osingleton ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_OInf__fin_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u8337) | ( c_Big__Operators_Olattice_OInf__fin(_u8337, c_Orderings_Oord__class_Omin(_u8337), hAPP(hAPP(c_Set_Oinsert(_u8337), _u8338), c_Orderings_Obot__class_Obot(tc_fun(_u8337, tc_HOL_Obool)))) = _u8338) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Min__in ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Min__in-1, axiom, ( ~class_Orderings_Olinorder(_u8339) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8339), _u8340)) | ( _u8340 = c_Orderings_Obot__class_Obot(tc_fun(_u8339, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u8339), c_Big__Operators_Olinorder__class_OMin(_u8339, _u8340)), _u8340)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Min_Oin__idem ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Min_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u8341) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8341), _u8342)) | ~hBOOL(hAPP(hAPP(c_member(_u8341), _u8343), _u8342)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8341), _u8343), c_Big__Operators_Olinorder__class_OMin(_u8341, _u8342)) = c_Big__Operators_Olinorder__class_OMin(_u8341, _u8342)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_OInf__fin_OF__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_OInf__fin_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u8344) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8344), _u8345)) | ( c_Big__Operators_Olattice_OInf__fin(_u8344, c_Orderings_Oord__class_Omin(_u8344), _u8345) = hAPP(c_Finite__Set_Ofold1(_u8344, c_Orderings_Oord__class_Omin(_u8344)), _u8345)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Min_OF__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Min_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u8346) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8346), _u8347)) | ( c_Big__Operators_Olinorder__class_OMin(_u8346, _u8347) = hAPP(c_Finite__Set_Ofold1(_u8346, c_Orderings_Oord__class_Omin(_u8346)), _u8347)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_OInf__fin_Oinsert__idem ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_OInf__fin_Oinsert__idem-1, axiom, ( ~class_Orderings_Olinorder(_u8348) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8348), _u8349)) | ( _u8349 = c_Orderings_Obot__class_Obot(tc_fun(_u8348, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u8348, c_Orderings_Oord__class_Omin(_u8348), hAPP(hAPP(c_Set_Oinsert(_u8348), _u8350), _u8349)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8348), _u8350), c_Big__Operators_Olattice_OInf__fin(_u8348, c_Orderings_Oord__class_Omin(_u8348), _u8349))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_OInf__fin_Osubset__idem ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_OInf__fin_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u8351) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8351), _u8352)) | ( _u8353 = c_Orderings_Obot__class_Obot(tc_fun(_u8351, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8351, tc_HOL_Obool)), _u8353), _u8352)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8351), c_Big__Operators_Olattice_OInf__fin(_u8351, c_Orderings_Oord__class_Omin(_u8351), _u8353)), c_Big__Operators_Olattice_OInf__fin(_u8351, c_Orderings_Oord__class_Omin(_u8351), _u8352)) = c_Big__Operators_Olattice_OInf__fin(_u8351, c_Orderings_Oord__class_Omin(_u8351), _u8352)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_OInf__fin_Ounion__idem ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_OInf__fin_Ounion__idem-1, axiom, ( ~class_Orderings_Olinorder(_u8354) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8354), _u8355)) | ( _u8355 = c_Orderings_Obot__class_Obot(tc_fun(_u8354, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8354), _u8356)) | ( _u8356 = c_Orderings_Obot__class_Obot(tc_fun(_u8354, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u8354, c_Orderings_Oord__class_Omin(_u8354), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8354, tc_HOL_Obool)), _u8355), _u8356)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8354), c_Big__Operators_Olattice_OInf__fin(_u8354, c_Orderings_Oord__class_Omin(_u8354), _u8355)), c_Big__Operators_Olattice_OInf__fin(_u8354, c_Orderings_Oord__class_Omin(_u8354), _u8356))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Min__antimono ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Min__antimono-1, axiom, ( ~class_Orderings_Olinorder(_u8357) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8357, tc_HOL_Obool)), _u8358), _u8359)) | ( _u8358 = c_Orderings_Obot__class_Obot(tc_fun(_u8357, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8357), _u8359)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8357), c_Big__Operators_Olinorder__class_OMin(_u8357, _u8359)), c_Big__Operators_Olinorder__class_OMin(_u8357, _u8358))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_OInf__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_OInf__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u8360) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8360), _u8361)) | ( c_Big__Operators_Olattice_OInf__fin(_u8360, c_Orderings_Oord__class_Omin(_u8360), hAPP(hAPP(c_Set_Oinsert(_u8360), _u8362), _u8361)) = hAPP(hAPP(c_Finite__Set_Ofold(_u8360, _u8360, c_Orderings_Oord__class_Omin(_u8360)), _u8362), _u8361)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Min__insert ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Min__insert-1, axiom, ( ~class_Orderings_Olinorder(_u8363) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8363), _u8364)) | ( _u8364 = c_Orderings_Obot__class_Obot(tc_fun(_u8363, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u8363, hAPP(hAPP(c_Set_Oinsert(_u8363), _u8365), _u8364)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8363), _u8365), c_Big__Operators_Olinorder__class_OMin(_u8363, _u8364))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Min_Osubset__idem ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Min_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u8366) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8366), _u8367)) | ( _u8368 = c_Orderings_Obot__class_Obot(tc_fun(_u8366, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8366, tc_HOL_Obool)), _u8368), _u8367)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8366), c_Big__Operators_Olinorder__class_OMin(_u8366, _u8368)), c_Big__Operators_Olinorder__class_OMin(_u8366, _u8367)) = c_Big__Operators_Olinorder__class_OMin(_u8366, _u8367)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Min__Un ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Min__Un-1, axiom, ( ~class_Orderings_Olinorder(_u8369) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8369), _u8370)) | ( _u8370 = c_Orderings_Obot__class_Obot(tc_fun(_u8369, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8369), _u8371)) | ( _u8371 = c_Orderings_Obot__class_Obot(tc_fun(_u8369, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u8369, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8369, tc_HOL_Obool)), _u8370), _u8371)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8369), c_Big__Operators_Olinorder__class_OMin(_u8369, _u8370)), c_Big__Operators_Olinorder__class_OMin(_u8369, _u8371))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Min_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Min_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u8372) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8372), _u8373)) | ( c_Big__Operators_Olinorder__class_OMin(_u8372, hAPP(hAPP(c_Set_Oinsert(_u8372), _u8374), _u8373)) = hAPP(hAPP(c_Finite__Set_Ofold(_u8372, _u8372, c_Orderings_Oord__class_Omin(_u8372)), _u8374), _u8373)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_OInf__fin_Oinsert ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_OInf__fin_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u8375) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8375), _u8376)) | hBOOL(hAPP(hAPP(c_member(_u8375), _u8377), _u8376)) | ( _u8376 = c_Orderings_Obot__class_Obot(tc_fun(_u8375, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u8375, c_Orderings_Oord__class_Omin(_u8375), hAPP(hAPP(c_Set_Oinsert(_u8375), _u8377), _u8376)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8375), _u8377), c_Big__Operators_Olattice_OInf__fin(_u8375, c_Orderings_Oord__class_Omin(_u8375), _u8376))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_OInf__fin_Oinsert__remove ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_OInf__fin_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u8378) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8378), _u8379)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8378, tc_HOL_Obool)), _u8379), hAPP(hAPP(c_Set_Oinsert(_u8378), _u8380), c_Orderings_Obot__class_Obot(tc_fun(_u8378, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8378, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u8378, c_Orderings_Oord__class_Omin(_u8378), hAPP(hAPP(c_Set_Oinsert(_u8378), _u8380), _u8379)) = _u8380) )).
% 12.53/12.72 cnf(fact_min__max_OInf__fin_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u8378) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8378), _u8379)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8378, tc_HOL_Obool)), _u8379), hAPP(hAPP(c_Set_Oinsert(_u8378), _u8380), c_Orderings_Obot__class_Obot(tc_fun(_u8378, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8378, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u8378, c_Orderings_Oord__class_Omin(_u8378), hAPP(hAPP(c_Set_Oinsert(_u8378), _u8380), _u8379)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8378), _u8380), c_Big__Operators_Olattice_OInf__fin(_u8378, c_Orderings_Oord__class_Omin(_u8378), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8378, tc_HOL_Obool)), _u8379), hAPP(hAPP(c_Set_Oinsert(_u8378), _u8380), c_Orderings_Obot__class_Obot(tc_fun(_u8378, tc_HOL_Obool))))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_OInf__fin_Ounion__inter ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_OInf__fin_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u8381) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8381), _u8382)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8381), _u8383)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8381, tc_HOL_Obool)), _u8382), _u8383) = c_Orderings_Obot__class_Obot(tc_fun(_u8381, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8381), c_Big__Operators_Olattice_OInf__fin(_u8381, c_Orderings_Oord__class_Omin(_u8381), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8381, tc_HOL_Obool)), _u8382), _u8383))), c_Big__Operators_Olattice_OInf__fin(_u8381, c_Orderings_Oord__class_Omin(_u8381), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8381, tc_HOL_Obool)), _u8382), _u8383))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8381), c_Big__Operators_Olattice_OInf__fin(_u8381, c_Orderings_Oord__class_Omin(_u8381), _u8382)), c_Big__Operators_Olattice_OInf__fin(_u8381, c_Orderings_Oord__class_Omin(_u8381), _u8383))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_OInf__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_OInf__fin_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u8384) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8384), _u8385)) | ( _u8385 = c_Orderings_Obot__class_Obot(tc_fun(_u8384, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8384), _u8386)) | ( _u8386 = c_Orderings_Obot__class_Obot(tc_fun(_u8384, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8384, tc_HOL_Obool)), _u8385), _u8386) != c_Orderings_Obot__class_Obot(tc_fun(_u8384, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u8384, c_Orderings_Oord__class_Omin(_u8384), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8384, tc_HOL_Obool)), _u8385), _u8386)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8384), c_Big__Operators_Olattice_OInf__fin(_u8384, c_Orderings_Oord__class_Omin(_u8384), _u8385)), c_Big__Operators_Olattice_OInf__fin(_u8384, c_Orderings_Oord__class_Omin(_u8384), _u8386))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_OInf__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_OInf__fin_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u8387) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8387), _u8388)) | hBOOL(hAPP(hAPP(c_member(_u8387), _u8389), _u8388)) | ( c_Big__Operators_Olattice_OInf__fin(_u8387, c_Orderings_Oord__class_Omin(_u8387), hAPP(hAPP(c_Set_Oinsert(_u8387), _u8389), _u8388)) = hAPP(hAPP(c_Finite__Set_Ofold(_u8387, _u8387, c_Orderings_Oord__class_Omin(_u8387)), _u8389), _u8388)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Min_Oinsert ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Min_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u8390) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8390), _u8391)) | hBOOL(hAPP(hAPP(c_member(_u8390), _u8392), _u8391)) | ( _u8391 = c_Orderings_Obot__class_Obot(tc_fun(_u8390, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u8390, hAPP(hAPP(c_Set_Oinsert(_u8390), _u8392), _u8391)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8390), _u8392), c_Big__Operators_Olinorder__class_OMin(_u8390, _u8391))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Min_Oinsert__remove ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Min_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u8393) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8393), _u8394)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8393, tc_HOL_Obool)), _u8394), hAPP(hAPP(c_Set_Oinsert(_u8393), _u8395), c_Orderings_Obot__class_Obot(tc_fun(_u8393, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8393, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u8393, hAPP(hAPP(c_Set_Oinsert(_u8393), _u8395), _u8394)) = _u8395) )).
% 12.53/12.72 cnf(fact_Min_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u8393) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8393), _u8394)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8393, tc_HOL_Obool)), _u8394), hAPP(hAPP(c_Set_Oinsert(_u8393), _u8395), c_Orderings_Obot__class_Obot(tc_fun(_u8393, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8393, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u8393, hAPP(hAPP(c_Set_Oinsert(_u8393), _u8395), _u8394)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8393), _u8395), c_Big__Operators_Olinorder__class_OMin(_u8393, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8393, tc_HOL_Obool)), _u8394), hAPP(hAPP(c_Set_Oinsert(_u8393), _u8395), c_Orderings_Obot__class_Obot(tc_fun(_u8393, tc_HOL_Obool))))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Min_Ounion__inter ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Min_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u8396) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8396), _u8397)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8396), _u8398)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8396, tc_HOL_Obool)), _u8397), _u8398) = c_Orderings_Obot__class_Obot(tc_fun(_u8396, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8396), c_Big__Operators_Olinorder__class_OMin(_u8396, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8396, tc_HOL_Obool)), _u8397), _u8398))), c_Big__Operators_Olinorder__class_OMin(_u8396, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8396, tc_HOL_Obool)), _u8397), _u8398))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8396), c_Big__Operators_Olinorder__class_OMin(_u8396, _u8397)), c_Big__Operators_Olinorder__class_OMin(_u8396, _u8398))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Min_Ounion__disjoint ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Min_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u8399) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8399), _u8400)) | ( _u8400 = c_Orderings_Obot__class_Obot(tc_fun(_u8399, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8399), _u8401)) | ( _u8401 = c_Orderings_Obot__class_Obot(tc_fun(_u8399, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8399, tc_HOL_Obool)), _u8400), _u8401) != c_Orderings_Obot__class_Obot(tc_fun(_u8399, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u8399, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8399, tc_HOL_Obool)), _u8400), _u8401)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8399), c_Big__Operators_Olinorder__class_OMin(_u8399, _u8400)), c_Big__Operators_Olinorder__class_OMin(_u8399, _u8401))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_OInf__fin_Oclosed ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_OInf__fin_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u8404) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8404), _u8405)) | ( _u8405 = c_Orderings_Obot__class_Obot(tc_fun(_u8404, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u8404), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8404), skolem225(_u8405, _u8404)), skolem226(_u8405, _u8404))), hAPP(hAPP(c_Set_Oinsert(_u8404), skolem225(_u8405, _u8404)), hAPP(hAPP(c_Set_Oinsert(_u8404), skolem226(_u8405, _u8404)), c_Orderings_Obot__class_Obot(tc_fun(_u8404, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u8404), c_Big__Operators_Olattice_OInf__fin(_u8404, c_Orderings_Oord__class_Omin(_u8404), _u8405)), _u8405)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Min_Oclosed ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Min_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u8408) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8408), _u8409)) | ( _u8409 = c_Orderings_Obot__class_Obot(tc_fun(_u8408, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u8408), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8408), skolem227(_u8409, _u8408)), skolem228(_u8409, _u8408))), hAPP(hAPP(c_Set_Oinsert(_u8408), skolem227(_u8409, _u8408)), hAPP(hAPP(c_Set_Oinsert(_u8408), skolem228(_u8409, _u8408)), c_Orderings_Obot__class_Obot(tc_fun(_u8408, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u8408), c_Big__Operators_Olinorder__class_OMin(_u8408, _u8409)), _u8409)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_OInf__fin_Ohom__commute ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_OInf__fin_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u8412) | ( hAPP(_u8413, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8412), skolem229(_u8414, _u8413, _u8412)), skolem230(_u8414, _u8413, _u8412))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8412), hAPP(_u8413, skolem229(_u8414, _u8413, _u8412))), hAPP(_u8413, skolem230(_u8414, _u8413, _u8412)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8412), _u8414)) | ( _u8414 = c_Orderings_Obot__class_Obot(tc_fun(_u8412, tc_HOL_Obool))) | ( hAPP(_u8413, c_Big__Operators_Olattice_OInf__fin(_u8412, c_Orderings_Oord__class_Omin(_u8412), _u8414)) = c_Big__Operators_Olattice_OInf__fin(_u8412, c_Orderings_Oord__class_Omin(_u8412), hAPP(c_Set_Oimage(_u8412, _u8412, _u8413), _u8414))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Min_Ohom__commute ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Min_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u8417) | ( hAPP(_u8418, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8417), skolem231(_u8419, _u8418, _u8417)), skolem232(_u8419, _u8418, _u8417))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8417), hAPP(_u8418, skolem231(_u8419, _u8418, _u8417))), hAPP(_u8418, skolem232(_u8419, _u8418, _u8417)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8417), _u8419)) | ( _u8419 = c_Orderings_Obot__class_Obot(tc_fun(_u8417, tc_HOL_Obool))) | ( hAPP(_u8418, c_Big__Operators_Olinorder__class_OMin(_u8417, _u8419)) = c_Big__Operators_Olinorder__class_OMin(_u8417, hAPP(c_Set_Oimage(_u8417, _u8417, _u8418), _u8419))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_minus__Max__eq__Min ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_minus__Max__eq__Min-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u8420) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8420), _u8421)) | ( _u8421 = c_Orderings_Obot__class_Obot(tc_fun(_u8420, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8420), c_Big__Operators_Olinorder__class_OMax(_u8420, _u8421)) = c_Big__Operators_Olinorder__class_OMin(_u8420, hAPP(c_Set_Oimage(_u8420, _u8420, c_Groups_Ouminus__class_Ouminus(_u8420)), _u8421))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_minus__Min__eq__Max ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_minus__Min__eq__Max-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u8422) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8422), _u8423)) | ( _u8423 = c_Orderings_Obot__class_Obot(tc_fun(_u8422, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8422), c_Big__Operators_Olinorder__class_OMin(_u8422, _u8423)) = c_Big__Operators_Olinorder__class_OMax(_u8422, hAPP(c_Set_Oimage(_u8422, _u8422, c_Groups_Ouminus__class_Ouminus(_u8422)), _u8423))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Oinf__le__fold__inf ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Oinf__le__fold__inf-1, axiom, ( ~class_Orderings_Olinorder(_u8425) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8425), _u8426)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8425), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8425), _u8427), _u8428)), hAPP(hAPP(c_Finite__Set_Ofold(_u8425, _u8425, c_Orderings_Oord__class_Omin(_u8425)), _u8428), _u8426))) | hBOOL(hAPP(hAPP(c_member(_u8425), skolem233(_u8428, _u8427, _u8426, _u8425)), _u8426)) )).
% 12.53/12.72 cnf(fact_min__max_Oinf__le__fold__inf-2, axiom, ( ~class_Orderings_Olinorder(_u8425) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8425), _u8426)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8425), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8425), _u8427), _u8428)), hAPP(hAPP(c_Finite__Set_Ofold(_u8425, _u8425, c_Orderings_Oord__class_Omin(_u8425)), _u8428), _u8426))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8425), _u8427), skolem233(_u8428, _u8427, _u8426, _u8425))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Min__eqI ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Min__eqI-1, axiom, ( ~class_Orderings_Olinorder(_u8430) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8430), _u8431)) | ~hBOOL(hAPP(hAPP(c_member(_u8430), _u8432), _u8431)) | ( c_Big__Operators_Olinorder__class_OMin(_u8430, _u8431) = _u8432) | hBOOL(hAPP(hAPP(c_member(_u8430), skolem234(_u8432, _u8431, _u8430)), _u8431)) )).
% 12.53/12.72 cnf(fact_Min__eqI-2, axiom, ( ~class_Orderings_Olinorder(_u8430) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8430), _u8431)) | ~hBOOL(hAPP(hAPP(c_member(_u8430), _u8432), _u8431)) | ( c_Big__Operators_Olinorder__class_OMin(_u8430, _u8431) = _u8432) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8430), _u8432), skolem234(_u8432, _u8431, _u8430))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Max_Osingleton ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Max_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u8433) | ( c_Big__Operators_Olinorder__class_OMax(_u8433, hAPP(hAPP(c_Set_Oinsert(_u8433), _u8434), c_Orderings_Obot__class_Obot(tc_fun(_u8433, tc_HOL_Obool)))) = _u8434) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Max__ge ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Max__ge-1, axiom, ( ~class_Orderings_Olinorder(_u8435) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8435), _u8436)) | ~hBOOL(hAPP(hAPP(c_member(_u8435), _u8437), _u8436)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8435), _u8437), c_Big__Operators_Olinorder__class_OMax(_u8435, _u8436))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Max__in ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Max__in-1, axiom, ( ~class_Orderings_Olinorder(_u8438) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8438), _u8439)) | ( _u8439 = c_Orderings_Obot__class_Obot(tc_fun(_u8438, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u8438), c_Big__Operators_Olinorder__class_OMax(_u8438, _u8439)), _u8439)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Max__mono ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Max__mono-1, axiom, ( ~class_Orderings_Olinorder(_u8440) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8440, tc_HOL_Obool)), _u8441), _u8442)) | ( _u8441 = c_Orderings_Obot__class_Obot(tc_fun(_u8440, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8440), _u8442)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8440), c_Big__Operators_Olinorder__class_OMax(_u8440, _u8441)), c_Big__Operators_Olinorder__class_OMax(_u8440, _u8442))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Max_Oremove ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Max_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u8443) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8443), _u8444)) | ~hBOOL(hAPP(hAPP(c_member(_u8443), _u8445), _u8444)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8443, tc_HOL_Obool)), _u8444), hAPP(hAPP(c_Set_Oinsert(_u8443), _u8445), c_Orderings_Obot__class_Obot(tc_fun(_u8443, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8443, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8443, _u8444) = _u8445) )).
% 12.53/12.72 cnf(fact_Max_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u8443) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8443), _u8444)) | ~hBOOL(hAPP(hAPP(c_member(_u8443), _u8445), _u8444)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8443, tc_HOL_Obool)), _u8444), hAPP(hAPP(c_Set_Oinsert(_u8443), _u8445), c_Orderings_Obot__class_Obot(tc_fun(_u8443, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8443, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8443, _u8444) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8443), _u8445), c_Big__Operators_Olinorder__class_OMax(_u8443, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8443, tc_HOL_Obool)), _u8444), hAPP(hAPP(c_Set_Oinsert(_u8443), _u8445), c_Orderings_Obot__class_Obot(tc_fun(_u8443, tc_HOL_Obool))))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Max__eqI ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Max__eqI-1, axiom, ( ~class_Orderings_Olinorder(_u8447) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8447), _u8448)) | ~hBOOL(hAPP(hAPP(c_member(_u8447), _u8449), _u8448)) | ( c_Big__Operators_Olinorder__class_OMax(_u8447, _u8448) = _u8449) | hBOOL(hAPP(hAPP(c_member(_u8447), skolem235(_u8449, _u8448, _u8447)), _u8448)) )).
% 12.53/12.72 cnf(fact_Max__eqI-2, axiom, ( ~class_Orderings_Olinorder(_u8447) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8447), _u8448)) | ~hBOOL(hAPP(hAPP(c_member(_u8447), _u8449), _u8448)) | ( c_Big__Operators_Olinorder__class_OMax(_u8447, _u8448) = _u8449) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8447), skolem235(_u8449, _u8448, _u8447)), _u8449)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Max_Oeq__fold_H ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Max_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u8450) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8450), _u8451)) | hBOOL(hAPP(hAPP(c_member(_u8450), _u8452), _u8451)) | ( c_Big__Operators_Olinorder__class_OMax(_u8450, hAPP(hAPP(c_Set_Oinsert(_u8450), _u8452), _u8451)) = hAPP(hAPP(c_Finite__Set_Ofold(_u8450, _u8450, c_Orderings_Oord__class_Omax(_u8450)), _u8452), _u8451)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Max_Ounion__inter ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Max_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u8453) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8453), _u8454)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8453), _u8455)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8453, tc_HOL_Obool)), _u8454), _u8455) = c_Orderings_Obot__class_Obot(tc_fun(_u8453, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8453), c_Big__Operators_Olinorder__class_OMax(_u8453, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8453, tc_HOL_Obool)), _u8454), _u8455))), c_Big__Operators_Olinorder__class_OMax(_u8453, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8453, tc_HOL_Obool)), _u8454), _u8455))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8453), c_Big__Operators_Olinorder__class_OMax(_u8453, _u8454)), c_Big__Operators_Olinorder__class_OMax(_u8453, _u8455))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Osup__inf__absorb ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Osup__inf__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u8456) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8456), _u8457), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8456), _u8457), _u8458)) = _u8457) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Oinf__sup__absorb ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Oinf__sup__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u8459) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8459), _u8460), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8459), _u8460), _u8461)) = _u8460) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Osup__inf__distrib1 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Osup__inf__distrib1-1, axiom, ( ~class_Orderings_Olinorder(_u8462) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8462), _u8463), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8462), _u8464), _u8465)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8462), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8462), _u8463), _u8464)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8462), _u8463), _u8465))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Oinf__sup__distrib1 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Oinf__sup__distrib1-1, axiom, ( ~class_Orderings_Olinorder(_u8466) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8466), _u8467), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8466), _u8468), _u8469)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8466), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8466), _u8467), _u8468)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8466), _u8467), _u8469))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Osup__inf__distrib2 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Osup__inf__distrib2-1, axiom, ( ~class_Orderings_Olinorder(_u8470) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8470), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8470), _u8471), _u8472)), _u8473) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8470), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8470), _u8471), _u8473)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8470), _u8472), _u8473))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Oinf__sup__distrib2 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Oinf__sup__distrib2-1, axiom, ( ~class_Orderings_Olinorder(_u8474) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8474), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8474), _u8475), _u8476)), _u8477) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8474), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8474), _u8475), _u8477)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8474), _u8476), _u8477))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_max__0R ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_max__0R-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u8478), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u8478) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_max__0L ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_max__0L-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8479) = _u8479) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Ofun__left__comm__idem__sup ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Ofun__left__comm__idem__sup-1, axiom, ( ~class_Orderings_Olinorder(_u8480) | c_Finite__Set_Ofun__left__comm__idem(_u8480, _u8480, c_Orderings_Oord__class_Omax(_u8480)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_max__Suc__Suc ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_max__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8481)), hAPP(c_Nat_OSuc, _u8482)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u8481), _u8482))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Max_Oidem ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Max_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u8483) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8483), _u8484), _u8484) = _u8484) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Osup_Oidem ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Osup_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u8485) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8485), _u8486), _u8486) = _u8486) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Osup_Ocommute ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Osup_Ocommute-1, axiom, ( ~class_Orderings_Olinorder(_u8487) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8487), _u8488), _u8489) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8487), _u8489), _u8488)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Osup__commute ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Osup__commute-1, axiom, ( ~class_Orderings_Olinorder(_u8490) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8490), _u8491), _u8492) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8490), _u8492), _u8491)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Osup_Oleft__idem ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Osup_Oleft__idem-1, axiom, ( ~class_Orderings_Olinorder(_u8493) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8493), _u8494), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8493), _u8494), _u8495)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8493), _u8494), _u8495)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Osup__left__idem ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Osup__left__idem-1, axiom, ( ~class_Orderings_Olinorder(_u8496) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8496), _u8497), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8496), _u8497), _u8498)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8496), _u8497), _u8498)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Osup_Oleft__commute ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Osup_Oleft__commute-1, axiom, ( ~class_Orderings_Olinorder(_u8499) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8499), _u8500), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8499), _u8501), _u8502)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8499), _u8501), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8499), _u8500), _u8502))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Osup__left__commute ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Osup__left__commute-1, axiom, ( ~class_Orderings_Olinorder(_u8503) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8503), _u8504), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8503), _u8505), _u8506)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8503), _u8505), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8503), _u8504), _u8506))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Osup_Oassoc ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Osup_Oassoc-1, axiom, ( ~class_Orderings_Olinorder(_u8507) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8507), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8507), _u8508), _u8509)), _u8510) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8507), _u8508), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8507), _u8509), _u8510))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Osup__assoc ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Osup__assoc-1, axiom, ( ~class_Orderings_Olinorder(_u8511) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8511), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8511), _u8512), _u8513)), _u8514) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8511), _u8512), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8511), _u8513), _u8514))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_sup__max ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_sup__max-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8515) | ~class_Orderings_Olinorder(_u8515) | ( c_Lattices_Osemilattice__sup__class_Osup(_u8515) = c_Orderings_Oord__class_Omax(_u8515)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_max__diff__distrib__left ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_max__diff__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8516) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8516), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8516), _u8517), _u8518)), _u8519) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8516), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8516), _u8517), _u8519)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8516), _u8518), _u8519))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Ole__supE ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Ole__supE-1, axiom, ( ~class_Orderings_Olinorder(_u8520) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8520), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8520), _u8521), _u8522)), _u8523)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8520), _u8521), _u8523)) )).
% 12.53/12.72 cnf(fact_min__max_Ole__supE-2, axiom, ( ~class_Orderings_Olinorder(_u8520) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8520), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8520), _u8521), _u8522)), _u8523)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8520), _u8522), _u8523)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Osup__mono ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Osup__mono-1, axiom, ( ~class_Orderings_Olinorder(_u8524) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8524), _u8525), _u8526)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8524), _u8527), _u8528)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8524), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8524), _u8525), _u8527)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8524), _u8526), _u8528))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Osup__least ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Osup__least-1, axiom, ( ~class_Orderings_Olinorder(_u8529) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8529), _u8530), _u8531)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8529), _u8532), _u8531)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8529), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8529), _u8530), _u8532)), _u8531)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Ole__supI ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Ole__supI-1, axiom, ( ~class_Orderings_Olinorder(_u8533) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8533), _u8534), _u8535)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8533), _u8536), _u8535)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8533), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8533), _u8534), _u8536)), _u8535)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Osup__absorb1 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Osup__absorb1-1, axiom, ( ~class_Orderings_Olinorder(_u8537) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8537), _u8538), _u8539)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8537), _u8539), _u8538) = _u8539) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Osup__absorb2 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Osup__absorb2-1, axiom, ( ~class_Orderings_Olinorder(_u8540) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8540), _u8541), _u8542)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8540), _u8541), _u8542) = _u8542) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Ole__supI2 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Ole__supI2-1, axiom, ( ~class_Orderings_Olinorder(_u8543) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8543), _u8544), _u8545)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8543), _u8544), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8543), _u8546), _u8545))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Ole__supI1 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Ole__supI1-1, axiom, ( ~class_Orderings_Olinorder(_u8547) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8547), _u8548), _u8549)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8547), _u8548), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8547), _u8549), _u8550))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Ole__sup__iff ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Ole__sup__iff-1, axiom, ( ~class_Orderings_Olinorder(_u8551) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8551), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8551), _u8552), _u8553)), _u8554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8551), _u8552), _u8554)) )).
% 12.53/12.72 cnf(fact_min__max_Ole__sup__iff-2, axiom, ( ~class_Orderings_Olinorder(_u8551) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8551), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8551), _u8552), _u8553)), _u8554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8551), _u8553), _u8554)) )).
% 12.53/12.72 cnf(fact_min__max_Ole__sup__iff-3, axiom, ( ~class_Orderings_Olinorder(_u8551) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8551), _u8552), _u8554)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8551), _u8553), _u8554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8551), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8551), _u8552), _u8553)), _u8554)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Ole__iff__sup ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Ole__iff__sup-1, axiom, ( ~class_Orderings_Olinorder(_u8555) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8555), _u8556), _u8557)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8555), _u8556), _u8557) = _u8557) )).
% 12.53/12.72 cnf(fact_min__max_Ole__iff__sup-2, axiom, ( ~class_Orderings_Olinorder(_u8555) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8555), _u8556), _u8557) != _u8557) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8555), _u8556), _u8557)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_le__maxI2 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_le__maxI2-1, axiom, ( ~class_Orderings_Olinorder(_u8558) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8558), _u8559), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8558), _u8560), _u8559))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_le__maxI1 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_le__maxI1-1, axiom, ( ~class_Orderings_Olinorder(_u8561) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8561), _u8562), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8561), _u8562), _u8563))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_le__max__iff__disj ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_le__max__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u8564) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8564), _u8565), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8564), _u8566), _u8567))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8564), _u8565), _u8566)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8564), _u8565), _u8567)) )).
% 12.53/12.72 cnf(fact_le__max__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u8564) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8564), _u8565), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8564), _u8566), _u8567))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8564), _u8565), _u8566)) )).
% 12.53/12.72 cnf(fact_le__max__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u8564) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8564), _u8565), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8564), _u8566), _u8567))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8564), _u8565), _u8567)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_max__add__distrib__left ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_max__add__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u8568) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8568), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8568), _u8569), _u8570)), _u8571) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8568), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8568), _u8569), _u8571)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8568), _u8570), _u8571))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Oless__supI2 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Oless__supI2-1, axiom, ( ~class_Orderings_Olinorder(_u8572) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8572), _u8573), _u8574)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8572), _u8573), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8572), _u8575), _u8574))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Oless__supI1 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Oless__supI1-1, axiom, ( ~class_Orderings_Olinorder(_u8576) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8576), _u8577), _u8578)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8576), _u8577), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8576), _u8578), _u8579))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_max__less__iff__conj ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_max__less__iff__conj-1, axiom, ( ~class_Orderings_Olinorder(_u8580) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8580), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8580), _u8581), _u8582)), _u8583)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8580), _u8581), _u8583)) )).
% 12.53/12.72 cnf(fact_max__less__iff__conj-2, axiom, ( ~class_Orderings_Olinorder(_u8580) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8580), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8580), _u8581), _u8582)), _u8583)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8580), _u8582), _u8583)) )).
% 12.53/12.72 cnf(fact_max__less__iff__conj-3, axiom, ( ~class_Orderings_Olinorder(_u8580) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8580), _u8581), _u8583)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8580), _u8582), _u8583)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8580), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8580), _u8581), _u8582)), _u8583)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_less__max__iff__disj ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_less__max__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u8584) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8584), _u8585), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8584), _u8586), _u8587))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8584), _u8585), _u8586)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8584), _u8585), _u8587)) )).
% 12.53/12.72 cnf(fact_less__max__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u8584) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8584), _u8585), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8584), _u8586), _u8587))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8584), _u8585), _u8586)) )).
% 12.53/12.72 cnf(fact_less__max__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u8584) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8584), _u8585), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8584), _u8586), _u8587))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8584), _u8585), _u8587)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_max__number__of ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_max__number__of-1, axiom, ( ~class_Int_Onumber(_u8588) | ~class_Orderings_Oord(_u8588) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8588), hAPP(c_Int_Onumber__class_Onumber__of(_u8588), _u8589)), hAPP(c_Int_Onumber__class_Onumber__of(_u8588), _u8590))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8588), hAPP(c_Int_Onumber__class_Onumber__of(_u8588), _u8589)), hAPP(c_Int_Onumber__class_Onumber__of(_u8588), _u8590)) = hAPP(c_Int_Onumber__class_Onumber__of(_u8588), _u8590)) )).
% 12.53/12.72 cnf(fact_max__number__of-2, axiom, ( ~class_Int_Onumber(_u8588) | ~class_Orderings_Oord(_u8588) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8588), hAPP(c_Int_Onumber__class_Onumber__of(_u8588), _u8589)), hAPP(c_Int_Onumber__class_Onumber__of(_u8588), _u8590))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8588), hAPP(c_Int_Onumber__class_Onumber__of(_u8588), _u8589)), hAPP(c_Int_Onumber__class_Onumber__of(_u8588), _u8590)) = hAPP(c_Int_Onumber__class_Onumber__of(_u8588), _u8589)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Odistrib__inf__le ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Odistrib__inf__le-1, axiom, ( ~class_Orderings_Olinorder(_u8591) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8591), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8591), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8591), _u8592), _u8593)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8591), _u8592), _u8594))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8591), _u8592), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8591), _u8593), _u8594)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Odistrib__sup__le ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Odistrib__sup__le-1, axiom, ( ~class_Orderings_Olinorder(_u8595) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8595), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8595), _u8596), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8595), _u8597), _u8598))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8595), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8595), _u8596), _u8597)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8595), _u8596), _u8598)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_minus__min__eq__max ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_minus__min__eq__max-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u8599) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8599), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8599), _u8600), _u8601)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8599), hAPP(c_Groups_Ouminus__class_Ouminus(_u8599), _u8600)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8599), _u8601))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_minus__max__eq__min ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_minus__max__eq__min-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u8602) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8602), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8602), _u8603), _u8604)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8602), hAPP(c_Groups_Ouminus__class_Ouminus(_u8602), _u8603)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8602), _u8604))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_nat__minus__add__max ( axiom ) converted to clauses:
% 12.53/12.72 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), _u8605), _u8606)), _u8606) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u8605), _u8606)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Ofold__sup__insert ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Ofold__sup__insert-1, axiom, ( ~class_Orderings_Olinorder(_u8607) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8607), _u8608)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u8607, _u8607, c_Orderings_Oord__class_Omax(_u8607)), _u8609), hAPP(hAPP(c_Set_Oinsert(_u8607), _u8610), _u8608)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8607), _u8610), hAPP(hAPP(c_Finite__Set_Ofold(_u8607, _u8607, c_Orderings_Oord__class_Omax(_u8607)), _u8609), _u8608))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Max_Oin__idem ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Max_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u8611) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8611), _u8612)) | ~hBOOL(hAPP(hAPP(c_member(_u8611), _u8613), _u8612)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8611), _u8613), c_Big__Operators_Olinorder__class_OMax(_u8611, _u8612)) = c_Big__Operators_Olinorder__class_OMax(_u8611, _u8612)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Int__atLeastAtMost ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Int__atLeastAtMost-1, axiom, ( ~class_Orderings_Olinorder(_u8614) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8614, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8614, _u8615, _u8616)), c_SetInterval_Oord__class_OatLeastAtMost(_u8614, _u8617, _u8618)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8614, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8614), _u8615), _u8617), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8614), _u8616), _u8618))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Int__atLeastLessThan ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Int__atLeastLessThan-1, axiom, ( ~class_Orderings_Olinorder(_u8619) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8619, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8619, _u8620), _u8621)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8619, _u8622), _u8623)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8619, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8619), _u8620), _u8622)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8619), _u8621), _u8623))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Int__greaterThanAtMost ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Int__greaterThanAtMost-1, axiom, ( ~class_Orderings_Olinorder(_u8624) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8624, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8624, _u8625, _u8626)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8624, _u8627, _u8628)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u8624, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8624), _u8625), _u8627), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8624), _u8626), _u8628))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Int__greaterThanLessThan ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Int__greaterThanLessThan-1, axiom, ( ~class_Orderings_Olinorder(_u8629) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8629, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8629, _u8630, _u8631)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8629, _u8632, _u8633)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u8629, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8629), _u8630), _u8632), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8629), _u8631), _u8633))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Int__atLeastAtMostL2 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Int__atLeastAtMostL2-1, axiom, ( ~class_Orderings_Olinorder(_u8634) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8634, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8634, _u8635, _u8636)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8634), _u8637)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8634, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8634), _u8635), _u8637), _u8636)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Int__atLeastAtMostR2 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Int__atLeastAtMostR2-1, axiom, ( ~class_Orderings_Olinorder(_u8638) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8638, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8638), _u8639)), c_SetInterval_Oord__class_OatLeastAtMost(_u8638, _u8640, _u8641)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8638, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8638), _u8639), _u8640), _u8641)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Max_OF__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Max_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u8642) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8642), _u8643)) | ( c_Big__Operators_Olinorder__class_OMax(_u8642, _u8643) = hAPP(c_Finite__Set_Ofold1(_u8642, c_Orderings_Oord__class_Omax(_u8642)), _u8643)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Osup__le__fold__sup ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Osup__le__fold__sup-1, axiom, ( ~class_Orderings_Olinorder(_u8644) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8644), _u8645)) | ~hBOOL(hAPP(hAPP(c_member(_u8644), _u8646), _u8645)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8644), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8644), _u8646), _u8647)), hAPP(hAPP(c_Finite__Set_Ofold(_u8644, _u8644, c_Orderings_Oord__class_Omax(_u8644)), _u8647), _u8645))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Max__insert ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Max__insert-1, axiom, ( ~class_Orderings_Olinorder(_u8648) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8648), _u8649)) | ( _u8649 = c_Orderings_Obot__class_Obot(tc_fun(_u8648, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8648, hAPP(hAPP(c_Set_Oinsert(_u8648), _u8650), _u8649)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8648), _u8650), c_Big__Operators_Olinorder__class_OMax(_u8648, _u8649))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Max_Osubset__idem ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Max_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u8651) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8651), _u8652)) | ( _u8653 = c_Orderings_Obot__class_Obot(tc_fun(_u8651, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8651, tc_HOL_Obool)), _u8653), _u8652)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8651), c_Big__Operators_Olinorder__class_OMax(_u8651, _u8653)), c_Big__Operators_Olinorder__class_OMax(_u8651, _u8652)) = c_Big__Operators_Olinorder__class_OMax(_u8651, _u8652)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Osup__Inf__absorb ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Osup__Inf__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u8654) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8654), _u8655)) | ~hBOOL(hAPP(hAPP(c_member(_u8654), _u8656), _u8655)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8654), _u8656), c_Big__Operators_Olattice_OInf__fin(_u8654, c_Orderings_Oord__class_Omin(_u8654), _u8655)) = _u8656) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Max__Un ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Max__Un-1, axiom, ( ~class_Orderings_Olinorder(_u8657) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8657), _u8658)) | ( _u8658 = c_Orderings_Obot__class_Obot(tc_fun(_u8657, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8657), _u8659)) | ( _u8659 = c_Orderings_Obot__class_Obot(tc_fun(_u8657, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8657, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8657, tc_HOL_Obool)), _u8658), _u8659)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8657), c_Big__Operators_Olinorder__class_OMax(_u8657, _u8658)), c_Big__Operators_Olinorder__class_OMax(_u8657, _u8659))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Max_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Max_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u8660) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8660), _u8661)) | ( c_Big__Operators_Olinorder__class_OMax(_u8660, hAPP(hAPP(c_Set_Oinsert(_u8660), _u8662), _u8661)) = hAPP(hAPP(c_Finite__Set_Ofold(_u8660, _u8660, c_Orderings_Oord__class_Omax(_u8660)), _u8662), _u8661)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Max_Oinsert ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Max_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u8663) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8663), _u8664)) | hBOOL(hAPP(hAPP(c_member(_u8663), _u8665), _u8664)) | ( _u8664 = c_Orderings_Obot__class_Obot(tc_fun(_u8663, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8663, hAPP(hAPP(c_Set_Oinsert(_u8663), _u8665), _u8664)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8663), _u8665), c_Big__Operators_Olinorder__class_OMax(_u8663, _u8664))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Max_Oinsert__remove ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Max_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u8666) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8666), _u8667)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8666, tc_HOL_Obool)), _u8667), hAPP(hAPP(c_Set_Oinsert(_u8666), _u8668), c_Orderings_Obot__class_Obot(tc_fun(_u8666, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8666, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8666, hAPP(hAPP(c_Set_Oinsert(_u8666), _u8668), _u8667)) = _u8668) )).
% 12.53/12.72 cnf(fact_Max_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u8666) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8666), _u8667)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8666, tc_HOL_Obool)), _u8667), hAPP(hAPP(c_Set_Oinsert(_u8666), _u8668), c_Orderings_Obot__class_Obot(tc_fun(_u8666, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8666, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8666, hAPP(hAPP(c_Set_Oinsert(_u8666), _u8668), _u8667)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8666), _u8668), c_Big__Operators_Olinorder__class_OMax(_u8666, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8666, tc_HOL_Obool)), _u8667), hAPP(hAPP(c_Set_Oinsert(_u8666), _u8668), c_Orderings_Obot__class_Obot(tc_fun(_u8666, tc_HOL_Obool))))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Max_Ounion__disjoint ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Max_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u8669) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8669), _u8670)) | ( _u8670 = c_Orderings_Obot__class_Obot(tc_fun(_u8669, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8669), _u8671)) | ( _u8671 = c_Orderings_Obot__class_Obot(tc_fun(_u8669, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8669, tc_HOL_Obool)), _u8670), _u8671) != c_Orderings_Obot__class_Obot(tc_fun(_u8669, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8669, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8669, tc_HOL_Obool)), _u8670), _u8671)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8669), c_Big__Operators_Olinorder__class_OMax(_u8669, _u8670)), c_Big__Operators_Olinorder__class_OMax(_u8669, _u8671))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_max__ord__max ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_max__ord__max-1, axiom, ( ~class_Orderings_Oord(_u8672) | ( c_Orderings_Oord__class_Omax(_u8672) = c_Orderings_Oord_Omax(_u8672, c_Orderings_Oord__class_Oless__eq(_u8672))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Max_Oclosed ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Max_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u8675) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8675), _u8676)) | ( _u8676 = c_Orderings_Obot__class_Obot(tc_fun(_u8675, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u8675), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8675), skolem236(_u8676, _u8675)), skolem237(_u8676, _u8675))), hAPP(hAPP(c_Set_Oinsert(_u8675), skolem236(_u8676, _u8675)), hAPP(hAPP(c_Set_Oinsert(_u8675), skolem237(_u8676, _u8675)), c_Orderings_Obot__class_Obot(tc_fun(_u8675, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u8675), c_Big__Operators_Olinorder__class_OMax(_u8675, _u8676)), _u8676)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_OInf__le__Sup ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_OInf__le__Sup-1, axiom, ( ~class_Orderings_Olinorder(_u8677) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8677), _u8678)) | ( _u8678 = c_Orderings_Obot__class_Obot(tc_fun(_u8677, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8677), c_Big__Operators_Olattice_OInf__fin(_u8677, c_Orderings_Oord__class_Omin(_u8677), _u8678)), c_Big__Operators_Olattice_OSup__fin(_u8677, c_Orderings_Oord__class_Omax(_u8677), _u8678))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_OSup__fin_Oremove ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_OSup__fin_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u8679) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8679), _u8680)) | ~hBOOL(hAPP(hAPP(c_member(_u8679), _u8681), _u8680)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8679, tc_HOL_Obool)), _u8680), hAPP(hAPP(c_Set_Oinsert(_u8679), _u8681), c_Orderings_Obot__class_Obot(tc_fun(_u8679, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8679, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u8679, c_Orderings_Oord__class_Omax(_u8679), _u8680) = _u8681) )).
% 12.53/12.72 cnf(fact_min__max_OSup__fin_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u8679) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8679), _u8680)) | ~hBOOL(hAPP(hAPP(c_member(_u8679), _u8681), _u8680)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8679, tc_HOL_Obool)), _u8680), hAPP(hAPP(c_Set_Oinsert(_u8679), _u8681), c_Orderings_Obot__class_Obot(tc_fun(_u8679, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8679, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u8679, c_Orderings_Oord__class_Omax(_u8679), _u8680) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8679), _u8681), c_Big__Operators_Olattice_OSup__fin(_u8679, c_Orderings_Oord__class_Omax(_u8679), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8679, tc_HOL_Obool)), _u8680), hAPP(hAPP(c_Set_Oinsert(_u8679), _u8681), c_Orderings_Obot__class_Obot(tc_fun(_u8679, tc_HOL_Obool))))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_sup__nat__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_sup__nat__def-1, axiom, ( ( c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_OSup__fin_Oin__idem ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_OSup__fin_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u8682) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8682), _u8683)) | ~hBOOL(hAPP(hAPP(c_member(_u8682), _u8684), _u8683)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8682), _u8684), c_Big__Operators_Olattice_OSup__fin(_u8682, c_Orderings_Oord__class_Omax(_u8682), _u8683)) = c_Big__Operators_Olattice_OSup__fin(_u8682, c_Orderings_Oord__class_Omax(_u8682), _u8683)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_OSup__fin_Osingleton ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_OSup__fin_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u8685) | ( c_Big__Operators_Olattice_OSup__fin(_u8685, c_Orderings_Oord__class_Omax(_u8685), hAPP(hAPP(c_Set_Oinsert(_u8685), _u8686), c_Orderings_Obot__class_Obot(tc_fun(_u8685, tc_HOL_Obool)))) = _u8686) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_OSup__fin_OF__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_OSup__fin_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u8687) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8687), _u8688)) | ( c_Big__Operators_Olattice_OSup__fin(_u8687, c_Orderings_Oord__class_Omax(_u8687), _u8688) = hAPP(c_Finite__Set_Ofold1(_u8687, c_Orderings_Oord__class_Omax(_u8687)), _u8688)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_OSup__fin_Oinsert__idem ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_OSup__fin_Oinsert__idem-1, axiom, ( ~class_Orderings_Olinorder(_u8689) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8689), _u8690)) | ( _u8690 = c_Orderings_Obot__class_Obot(tc_fun(_u8689, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u8689, c_Orderings_Oord__class_Omax(_u8689), hAPP(hAPP(c_Set_Oinsert(_u8689), _u8691), _u8690)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8689), _u8691), c_Big__Operators_Olattice_OSup__fin(_u8689, c_Orderings_Oord__class_Omax(_u8689), _u8690))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_OSup__fin_Osubset__idem ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_OSup__fin_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u8692) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8692), _u8693)) | ( _u8694 = c_Orderings_Obot__class_Obot(tc_fun(_u8692, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8692, tc_HOL_Obool)), _u8694), _u8693)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8692), c_Big__Operators_Olattice_OSup__fin(_u8692, c_Orderings_Oord__class_Omax(_u8692), _u8694)), c_Big__Operators_Olattice_OSup__fin(_u8692, c_Orderings_Oord__class_Omax(_u8692), _u8693)) = c_Big__Operators_Olattice_OSup__fin(_u8692, c_Orderings_Oord__class_Omax(_u8692), _u8693)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Oinf__Sup__absorb ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Oinf__Sup__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u8695) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8695), _u8696)) | ~hBOOL(hAPP(hAPP(c_member(_u8695), _u8697), _u8696)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8695), _u8697), c_Big__Operators_Olattice_OSup__fin(_u8695, c_Orderings_Oord__class_Omax(_u8695), _u8696)) = _u8697) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_OSup__fin_Ounion__idem ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_OSup__fin_Ounion__idem-1, axiom, ( ~class_Orderings_Olinorder(_u8698) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8698), _u8699)) | ( _u8699 = c_Orderings_Obot__class_Obot(tc_fun(_u8698, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8698), _u8700)) | ( _u8700 = c_Orderings_Obot__class_Obot(tc_fun(_u8698, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u8698, c_Orderings_Oord__class_Omax(_u8698), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8698, tc_HOL_Obool)), _u8699), _u8700)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8698), c_Big__Operators_Olattice_OSup__fin(_u8698, c_Orderings_Oord__class_Omax(_u8698), _u8699)), c_Big__Operators_Olattice_OSup__fin(_u8698, c_Orderings_Oord__class_Omax(_u8698), _u8700))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_OSup__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_OSup__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u8701) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8701), _u8702)) | ( c_Big__Operators_Olattice_OSup__fin(_u8701, c_Orderings_Oord__class_Omax(_u8701), hAPP(hAPP(c_Set_Oinsert(_u8701), _u8703), _u8702)) = hAPP(hAPP(c_Finite__Set_Ofold(_u8701, _u8701, c_Orderings_Oord__class_Omax(_u8701)), _u8703), _u8702)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_OSup__fin_Oinsert ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_OSup__fin_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u8704) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8704), _u8705)) | hBOOL(hAPP(hAPP(c_member(_u8704), _u8706), _u8705)) | ( _u8705 = c_Orderings_Obot__class_Obot(tc_fun(_u8704, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u8704, c_Orderings_Oord__class_Omax(_u8704), hAPP(hAPP(c_Set_Oinsert(_u8704), _u8706), _u8705)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8704), _u8706), c_Big__Operators_Olattice_OSup__fin(_u8704, c_Orderings_Oord__class_Omax(_u8704), _u8705))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_OSup__fin_Oinsert__remove ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_OSup__fin_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u8707) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8707), _u8708)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8707, tc_HOL_Obool)), _u8708), hAPP(hAPP(c_Set_Oinsert(_u8707), _u8709), c_Orderings_Obot__class_Obot(tc_fun(_u8707, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8707, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u8707, c_Orderings_Oord__class_Omax(_u8707), hAPP(hAPP(c_Set_Oinsert(_u8707), _u8709), _u8708)) = _u8709) )).
% 12.53/12.72 cnf(fact_min__max_OSup__fin_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u8707) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8707), _u8708)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8707, tc_HOL_Obool)), _u8708), hAPP(hAPP(c_Set_Oinsert(_u8707), _u8709), c_Orderings_Obot__class_Obot(tc_fun(_u8707, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8707, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u8707, c_Orderings_Oord__class_Omax(_u8707), hAPP(hAPP(c_Set_Oinsert(_u8707), _u8709), _u8708)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8707), _u8709), c_Big__Operators_Olattice_OSup__fin(_u8707, c_Orderings_Oord__class_Omax(_u8707), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8707, tc_HOL_Obool)), _u8708), hAPP(hAPP(c_Set_Oinsert(_u8707), _u8709), c_Orderings_Obot__class_Obot(tc_fun(_u8707, tc_HOL_Obool))))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_OSup__fin_Ounion__inter ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_OSup__fin_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u8710) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8710), _u8711)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8710), _u8712)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8710, tc_HOL_Obool)), _u8711), _u8712) = c_Orderings_Obot__class_Obot(tc_fun(_u8710, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8710), c_Big__Operators_Olattice_OSup__fin(_u8710, c_Orderings_Oord__class_Omax(_u8710), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8710, tc_HOL_Obool)), _u8711), _u8712))), c_Big__Operators_Olattice_OSup__fin(_u8710, c_Orderings_Oord__class_Omax(_u8710), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8710, tc_HOL_Obool)), _u8711), _u8712))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8710), c_Big__Operators_Olattice_OSup__fin(_u8710, c_Orderings_Oord__class_Omax(_u8710), _u8711)), c_Big__Operators_Olattice_OSup__fin(_u8710, c_Orderings_Oord__class_Omax(_u8710), _u8712))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_OSup__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_OSup__fin_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u8713) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8713), _u8714)) | ( _u8714 = c_Orderings_Obot__class_Obot(tc_fun(_u8713, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8713), _u8715)) | ( _u8715 = c_Orderings_Obot__class_Obot(tc_fun(_u8713, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8713, tc_HOL_Obool)), _u8714), _u8715) != c_Orderings_Obot__class_Obot(tc_fun(_u8713, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u8713, c_Orderings_Oord__class_Omax(_u8713), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8713, tc_HOL_Obool)), _u8714), _u8715)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8713), c_Big__Operators_Olattice_OSup__fin(_u8713, c_Orderings_Oord__class_Omax(_u8713), _u8714)), c_Big__Operators_Olattice_OSup__fin(_u8713, c_Orderings_Oord__class_Omax(_u8713), _u8715))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_OSup__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_OSup__fin_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u8716) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8716), _u8717)) | hBOOL(hAPP(hAPP(c_member(_u8716), _u8718), _u8717)) | ( c_Big__Operators_Olattice_OSup__fin(_u8716, c_Orderings_Oord__class_Omax(_u8716), hAPP(hAPP(c_Set_Oinsert(_u8716), _u8718), _u8717)) = hAPP(hAPP(c_Finite__Set_Ofold(_u8716, _u8716, c_Orderings_Oord__class_Omax(_u8716)), _u8718), _u8717)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_OSup__fin_Oclosed ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_OSup__fin_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u8721) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8721), _u8722)) | ( _u8722 = c_Orderings_Obot__class_Obot(tc_fun(_u8721, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u8721), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8721), skolem238(_u8722, _u8721)), skolem239(_u8722, _u8721))), hAPP(hAPP(c_Set_Oinsert(_u8721), skolem238(_u8722, _u8721)), hAPP(hAPP(c_Set_Oinsert(_u8721), skolem239(_u8722, _u8721)), c_Orderings_Obot__class_Obot(tc_fun(_u8721, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u8721), c_Big__Operators_Olattice_OSup__fin(_u8721, c_Orderings_Oord__class_Omax(_u8721), _u8722)), _u8722)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_OSup__fin_Ohom__commute ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_OSup__fin_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u8725) | ( hAPP(_u8726, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8725), skolem240(_u8727, _u8726, _u8725)), skolem241(_u8727, _u8726, _u8725))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8725), hAPP(_u8726, skolem240(_u8727, _u8726, _u8725))), hAPP(_u8726, skolem241(_u8727, _u8726, _u8725)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8725), _u8727)) | ( _u8727 = c_Orderings_Obot__class_Obot(tc_fun(_u8725, tc_HOL_Obool))) | ( hAPP(_u8726, c_Big__Operators_Olattice_OSup__fin(_u8725, c_Orderings_Oord__class_Omax(_u8725), _u8727)) = c_Big__Operators_Olattice_OSup__fin(_u8725, c_Orderings_Oord__class_Omax(_u8725), hAPP(c_Set_Oimage(_u8725, _u8725, _u8726), _u8727))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Max_Ohom__commute ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Max_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u8730) | ( hAPP(_u8731, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8730), skolem242(_u8732, _u8731, _u8730)), skolem243(_u8732, _u8731, _u8730))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8730), hAPP(_u8731, skolem242(_u8732, _u8731, _u8730))), hAPP(_u8731, skolem243(_u8732, _u8731, _u8730)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8730), _u8732)) | ( _u8732 = c_Orderings_Obot__class_Obot(tc_fun(_u8730, tc_HOL_Obool))) | ( hAPP(_u8731, c_Big__Operators_Olinorder__class_OMax(_u8730, _u8732)) = c_Big__Operators_Olinorder__class_OMax(_u8730, hAPP(c_Set_Oimage(_u8730, _u8730, _u8731), _u8732))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Ofold__sup__le__sup ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Ofold__sup__le__sup-1, axiom, ( ~class_Orderings_Olinorder(_u8734) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8734), _u8735)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), hAPP(hAPP(c_Finite__Set_Ofold(_u8734, _u8734, c_Orderings_Oord__class_Omax(_u8734)), _u8737), _u8735)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8734), _u8736), _u8737))) | hBOOL(hAPP(hAPP(c_member(_u8734), skolem244(_u8737, _u8736, _u8735, _u8734)), _u8735)) )).
% 12.53/12.72 cnf(fact_min__max_Ofold__sup__le__sup-2, axiom, ( ~class_Orderings_Olinorder(_u8734) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8734), _u8735)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), hAPP(hAPP(c_Finite__Set_Ofold(_u8734, _u8734, c_Orderings_Oord__class_Omax(_u8734)), _u8737), _u8735)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8734), _u8736), _u8737))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), skolem244(_u8737, _u8736, _u8735, _u8734)), _u8736)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_pair__box_Osize_I1_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_pair__box_Osize_I1_J-1, axiom, ( ( c_Nitpick_Opair__box_Opair__box__size(_u8738, _u8739, _u8740, _u8741, c_Nitpick_Opair__box_OPairBox(_u8738, _u8739, _u8742, _u8743)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u8740, _u8742)), hAPP(_u8741, _u8743))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_arith__series__int ( axiom ) converted to clauses:
% 12.53/12.72 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), _u8744)), 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))), _u8745))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8746))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8746)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8744), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8744), 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), _u8746), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u8745))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_negDivAlg__eqn__1__number__of ( axiom ) converted to clauses:
% 12.53/12.72 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), _u8747))) | ~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), _u8747)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8747)) = 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), _u8747)))) )).
% 12.53/12.72 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), _u8747))) | 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), _u8747)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8747)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8747)), 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), _u8747))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_nat_Osize_I2_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_nat_Osize_I2_J-1, axiom, ( ( c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc, _u8748)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Nat_Onat_Onat__size(_u8748)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INF2__E ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INF2__E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8749, tc_fun(_u8750, tc_fun(_u8751, tc_HOL_Obool))), _u8752), _u8753), _u8754), _u8755)) | hBOOL(hAPP(hAPP(hAPP(_u8753, _u8756), _u8754), _u8755)) | ~hBOOL(hAPP(hAPP(c_member(_u8749), _u8756), _u8752)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INF2__D ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INF2__D-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8757, tc_fun(_u8758, tc_fun(_u8759, tc_HOL_Obool))), _u8760), _u8761), _u8762), _u8763)) | ~hBOOL(hAPP(hAPP(c_member(_u8757), _u8764), _u8760)) | hBOOL(hAPP(hAPP(hAPP(_u8761, _u8764), _u8762), _u8763)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INF1__E ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INF1__E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8765, tc_fun(_u8766, tc_HOL_Obool)), _u8767), _u8768), _u8769)) | hBOOL(hAPP(hAPP(_u8768, _u8770), _u8769)) | ~hBOOL(hAPP(hAPP(c_member(_u8765), _u8770), _u8767)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INF1__D ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INF1__D-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8771, tc_fun(_u8772, tc_HOL_Obool)), _u8773), _u8774), _u8775)) | ~hBOOL(hAPP(hAPP(c_member(_u8771), _u8776), _u8773)) | hBOOL(hAPP(hAPP(_u8774, _u8776), _u8775)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INT__D ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INT__D-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8777), _u8778), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8779, tc_fun(_u8777, tc_HOL_Obool)), _u8780), _u8781))) | ~hBOOL(hAPP(hAPP(c_member(_u8779), _u8782), _u8780)) | hBOOL(hAPP(hAPP(c_member(_u8777), _u8778), hAPP(_u8781, _u8782))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INT__E ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INT__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8783), _u8784), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8785, tc_fun(_u8783, tc_HOL_Obool)), _u8786), _u8787))) | hBOOL(hAPP(hAPP(c_member(_u8783), _u8784), hAPP(_u8787, _u8788))) | ~hBOOL(hAPP(hAPP(c_member(_u8785), _u8788), _u8786)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_SUP2__I ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_SUP2__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8789), _u8790), _u8791)) | ~hBOOL(hAPP(hAPP(hAPP(_u8792, _u8790), _u8793), _u8794)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8789, tc_fun(_u8795, tc_fun(_u8796, tc_HOL_Obool))), _u8791), _u8792), _u8793), _u8794)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_finite__INT ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_finite__INT-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8798), _u8797), _u8799)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8800), hAPP(_u8801, _u8797))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8800), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8798, tc_fun(_u8800, tc_HOL_Obool)), _u8799), _u8801))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_CollectI ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_CollectI-1, axiom, ( ~hBOOL(hAPP(_u8802, _u8803)) | hBOOL(hAPP(hAPP(c_member(_u8804), _u8803), hAPP(c_Set_OCollect(_u8804), _u8802))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_finite__Collect__conjI ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_finite__Collect__conjI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8805), hAPP(c_Set_OCollect(_u8805), hAPP(hAPP(c_COMBS(_u8805, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8805), c_fconj), _u8806)), _u8807)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8805), hAPP(c_Set_OCollect(_u8805), _u8806))) )).
% 12.53/12.72 cnf(fact_finite__Collect__conjI-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8805), hAPP(c_Set_OCollect(_u8805), hAPP(hAPP(c_COMBS(_u8805, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8805), c_fconj), _u8806)), _u8807)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8805), hAPP(c_Set_OCollect(_u8805), _u8807))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__I ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8808), _u8809), _u8810)) | ~hBOOL(hAPP(hAPP(c_member(_u8811), _u8812), hAPP(_u8813, _u8809))) | hBOOL(hAPP(hAPP(c_member(_u8811), _u8812), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8808, tc_fun(_u8811, tc_HOL_Obool)), _u8810), _u8813))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_SUP1__I ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_SUP1__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8814), _u8815), _u8816)) | ~hBOOL(hAPP(hAPP(_u8817, _u8815), _u8818)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8814, tc_fun(_u8819, tc_HOL_Obool)), _u8816), _u8817), _u8818)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_finite__Collect__less__nat ( axiom ) converted to clauses:
% 12.53/12.72 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)), _u8820)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_finite__Collect__le__nat ( axiom ) converted to clauses:
% 12.53/12.72 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)), _u8821)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setsum__abs ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8822) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8822), hAPP(c_Groups_Oabs__class_Oabs(_u8822), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8823, _u8822), _u8824), _u8825))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8823, _u8822), hAPP(hAPP(c_COMBB(_u8822, _u8822, _u8823), c_Groups_Oabs__class_Oabs(_u8822)), _u8824)), _u8825))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setsum__abs__ge__zero ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setsum__abs__ge__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8826) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8826), c_Groups_Ozero__class_Ozero(_u8826)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8827, _u8826), hAPP(hAPP(c_COMBB(_u8826, _u8826, _u8827), c_Groups_Oabs__class_Oabs(_u8826)), _u8828)), _u8829))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_finite__Collect__subsets ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_finite__Collect__subsets-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8830), _u8831)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u8830, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_fun(_u8830, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u8830, tc_HOL_Obool), tc_fun(_u8830, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u8830, tc_HOL_Obool))), _u8831)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_insert__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_insert__def-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u8832), _u8833), _u8834) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8832, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u8832), hAPP(hAPP(c_COMBC(_u8832, _u8832, tc_HOL_Obool), c_fequal), _u8833))), _u8834)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__extend__simps_I2_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__extend__simps_I2_J-1, axiom, ( ( _u8840 != c_Orderings_Obot__class_Obot(tc_fun(_u8842, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8844, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8842, tc_fun(_u8844, tc_HOL_Obool)), _u8840), _u8846)), _u8848) = _u8848) )).
% 12.53/12.72 cnf(fact_UN__extend__simps_I2_J-2, axiom, ( ( _u8841 = c_Orderings_Obot__class_Obot(tc_fun(_u8843, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8845, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8843, tc_fun(_u8845, tc_HOL_Obool)), _u8841), _u8847)), _u8849) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8843, tc_fun(_u8845, tc_HOL_Obool)), _u8841), hAPP(hAPP(c_COMBC(_u8843, tc_fun(_u8845, tc_HOL_Obool), tc_fun(_u8845, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8845, tc_HOL_Obool), tc_fun(tc_fun(_u8845, tc_HOL_Obool), tc_fun(_u8845, tc_HOL_Obool)), _u8843), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8845, tc_HOL_Obool))), _u8847)), _u8849))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__extend__simps_I3_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__extend__simps_I3_J-1, axiom, ( ( _u8855 != c_Orderings_Obot__class_Obot(tc_fun(_u8857, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8859, tc_HOL_Obool)), _u8861), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8857, tc_fun(_u8859, tc_HOL_Obool)), _u8855), _u8863)) = _u8861) )).
% 12.53/12.72 cnf(fact_UN__extend__simps_I3_J-2, axiom, ( ( _u8856 = c_Orderings_Obot__class_Obot(tc_fun(_u8858, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8860, tc_HOL_Obool)), _u8862), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8858, tc_fun(_u8860, tc_HOL_Obool)), _u8856), _u8864)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8858, tc_fun(_u8860, tc_HOL_Obool)), _u8856), hAPP(hAPP(c_COMBB(tc_fun(_u8860, tc_HOL_Obool), tc_fun(_u8860, tc_HOL_Obool), _u8858), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8860, tc_HOL_Obool)), _u8862)), _u8864))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__simps_I2_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__simps_I2_J-1, axiom, ( ( _u8870 != c_Orderings_Obot__class_Obot(tc_fun(_u8872, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8872, tc_fun(_u8874, tc_HOL_Obool)), _u8870), hAPP(hAPP(c_COMBC(_u8872, tc_fun(_u8874, tc_HOL_Obool), tc_fun(_u8874, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8874, tc_HOL_Obool), tc_fun(tc_fun(_u8874, tc_HOL_Obool), tc_fun(_u8874, tc_HOL_Obool)), _u8872), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8874, tc_HOL_Obool))), _u8876)), _u8878)) = c_Orderings_Obot__class_Obot(tc_fun(_u8874, tc_HOL_Obool))) )).
% 12.53/12.72 cnf(fact_UN__simps_I2_J-2, axiom, ( ( _u8871 = c_Orderings_Obot__class_Obot(tc_fun(_u8873, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8873, tc_fun(_u8875, tc_HOL_Obool)), _u8871), hAPP(hAPP(c_COMBC(_u8873, tc_fun(_u8875, tc_HOL_Obool), tc_fun(_u8875, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8875, tc_HOL_Obool), tc_fun(tc_fun(_u8875, tc_HOL_Obool), tc_fun(_u8875, tc_HOL_Obool)), _u8873), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8875, tc_HOL_Obool))), _u8877)), _u8879)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8875, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8873, tc_fun(_u8875, tc_HOL_Obool)), _u8871), _u8877)), _u8879)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__simps_I3_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__simps_I3_J-1, axiom, ( ( _u8885 != c_Orderings_Obot__class_Obot(tc_fun(_u8887, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8887, tc_fun(_u8889, tc_HOL_Obool)), _u8885), hAPP(hAPP(c_COMBB(tc_fun(_u8889, tc_HOL_Obool), tc_fun(_u8889, tc_HOL_Obool), _u8887), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8889, tc_HOL_Obool)), _u8891)), _u8893)) = c_Orderings_Obot__class_Obot(tc_fun(_u8889, tc_HOL_Obool))) )).
% 12.53/12.72 cnf(fact_UN__simps_I3_J-2, axiom, ( ( _u8886 = c_Orderings_Obot__class_Obot(tc_fun(_u8888, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8888, tc_fun(_u8890, tc_HOL_Obool)), _u8886), hAPP(hAPP(c_COMBB(tc_fun(_u8890, tc_HOL_Obool), tc_fun(_u8890, tc_HOL_Obool), _u8888), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8890, tc_HOL_Obool)), _u8892)), _u8894)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8890, tc_HOL_Obool)), _u8892), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8888, tc_fun(_u8890, tc_HOL_Obool)), _u8886), _u8894))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__insert ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__insert-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8895, tc_fun(_u8896, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8895), _u8897), _u8898)), _u8899) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8896, tc_HOL_Obool)), hAPP(_u8899, _u8897)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8895, tc_fun(_u8896, tc_HOL_Obool)), _u8898), _u8899))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Collect__imp__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Collect__imp__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u8900), hAPP(hAPP(c_COMBS(_u8900, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8900), c_fimplies), _u8901)), _u8902)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8900, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8900, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u8900), _u8901))), hAPP(c_Set_OCollect(_u8900), _u8902))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_sup__Un__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_sup__Un__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8907, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u8907, tc_fun(_u8907, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8907)), _u8909)), hAPP(hAPP(c_COMBC(_u8907, tc_fun(_u8907, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8907)), _u8911)), _u8913)) | hBOOL(hAPP(hAPP(c_member(_u8907), _u8913), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8907, tc_HOL_Obool)), _u8909), _u8911))) )).
% 12.53/12.72 cnf(fact_sup__Un__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8908), _u8914), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8908, tc_HOL_Obool)), _u8910), _u8912))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8908, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u8908, tc_fun(_u8908, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8908)), _u8910)), hAPP(hAPP(c_COMBC(_u8908, tc_fun(_u8908, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8908)), _u8912)), _u8914)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_sup__Un__eq2 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_sup__Un__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8921, tc_fun(_u8923, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u8921, tc_fun(tc_prod(_u8921, _u8923), tc_HOL_Obool), tc_fun(_u8923, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8923, tc_fun(tc_fun(tc_prod(_u8921, _u8923), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8921, _u8923), tc_HOL_Obool), tc_fun(_u8923, tc_HOL_Obool)), _u8921), c_COMBC(_u8923, tc_fun(tc_prod(_u8921, _u8923), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8923, tc_prod(_u8921, _u8923)), tc_fun(_u8923, tc_fun(tc_fun(tc_prod(_u8921, _u8923), tc_HOL_Obool), tc_HOL_Obool)), _u8921), hAPP(c_COMBB(tc_prod(_u8921, _u8923), tc_fun(tc_fun(tc_prod(_u8921, _u8923), tc_HOL_Obool), tc_HOL_Obool), _u8923), c_member(tc_prod(_u8921, _u8923)))), c_Product__Type_OPair(_u8921, _u8923)))), _u8925)), hAPP(hAPP(c_COMBC(_u8921, tc_fun(tc_prod(_u8921, _u8923), tc_HOL_Obool), tc_fun(_u8923, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8923, tc_fun(tc_fun(tc_prod(_u8921, _u8923), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8921, _u8923), tc_HOL_Obool), tc_fun(_u8923, tc_HOL_Obool)), _u8921), c_COMBC(_u8923, tc_fun(tc_prod(_u8921, _u8923), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8923, tc_prod(_u8921, _u8923)), tc_fun(_u8923, tc_fun(tc_fun(tc_prod(_u8921, _u8923), tc_HOL_Obool), tc_HOL_Obool)), _u8921), hAPP(c_COMBB(tc_prod(_u8921, _u8923), tc_fun(tc_fun(tc_prod(_u8921, _u8923), tc_HOL_Obool), tc_HOL_Obool), _u8923), c_member(tc_prod(_u8921, _u8923)))), c_Product__Type_OPair(_u8921, _u8923)))), _u8927)), _u8929), _u8931)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8921, _u8923)), hAPP(hAPP(c_Product__Type_OPair(_u8921, _u8923), _u8929), _u8931)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u8921, _u8923), tc_HOL_Obool)), _u8925), _u8927))) )).
% 12.53/12.72 cnf(fact_sup__Un__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8922, _u8924)), hAPP(hAPP(c_Product__Type_OPair(_u8922, _u8924), _u8930), _u8932)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u8922, _u8924), tc_HOL_Obool)), _u8926), _u8928))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8922, tc_fun(_u8924, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u8922, tc_fun(tc_prod(_u8922, _u8924), tc_HOL_Obool), tc_fun(_u8924, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8924, tc_fun(tc_fun(tc_prod(_u8922, _u8924), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8922, _u8924), tc_HOL_Obool), tc_fun(_u8924, tc_HOL_Obool)), _u8922), c_COMBC(_u8924, tc_fun(tc_prod(_u8922, _u8924), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8924, tc_prod(_u8922, _u8924)), tc_fun(_u8924, tc_fun(tc_fun(tc_prod(_u8922, _u8924), tc_HOL_Obool), tc_HOL_Obool)), _u8922), hAPP(c_COMBB(tc_prod(_u8922, _u8924), tc_fun(tc_fun(tc_prod(_u8922, _u8924), tc_HOL_Obool), tc_HOL_Obool), _u8924), c_member(tc_prod(_u8922, _u8924)))), c_Product__Type_OPair(_u8922, _u8924)))), _u8926)), hAPP(hAPP(c_COMBC(_u8922, tc_fun(tc_prod(_u8922, _u8924), tc_HOL_Obool), tc_fun(_u8924, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8924, tc_fun(tc_fun(tc_prod(_u8922, _u8924), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8922, _u8924), tc_HOL_Obool), tc_fun(_u8924, tc_HOL_Obool)), _u8922), c_COMBC(_u8924, tc_fun(tc_prod(_u8922, _u8924), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8924, tc_prod(_u8922, _u8924)), tc_fun(_u8924, tc_fun(tc_fun(tc_prod(_u8922, _u8924), tc_HOL_Obool), tc_HOL_Obool)), _u8922), hAPP(c_COMBB(tc_prod(_u8922, _u8924), tc_fun(tc_fun(tc_prod(_u8922, _u8924), tc_HOL_Obool), tc_HOL_Obool), _u8924), c_member(tc_prod(_u8922, _u8924)))), c_Product__Type_OPair(_u8922, _u8924)))), _u8928)), _u8930), _u8932)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__Un__distrib ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__Un__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8933, tc_fun(_u8934, tc_HOL_Obool)), _u8935), hAPP(hAPP(c_COMBS(_u8933, tc_fun(_u8934, tc_HOL_Obool), tc_fun(_u8934, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8934, tc_HOL_Obool), tc_fun(tc_fun(_u8934, tc_HOL_Obool), tc_fun(_u8934, tc_HOL_Obool)), _u8933), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8934, tc_HOL_Obool))), _u8936)), _u8937)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8934, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8933, tc_fun(_u8934, tc_HOL_Obool)), _u8935), _u8936)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8933, tc_fun(_u8934, tc_HOL_Obool)), _u8935), _u8937))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__Un ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__Un-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8938, tc_fun(_u8939, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8938, tc_HOL_Obool)), _u8940), _u8941)), _u8942) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8939, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8938, tc_fun(_u8939, tc_HOL_Obool)), _u8940), _u8942)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8938, tc_fun(_u8939, tc_HOL_Obool)), _u8941), _u8942))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INT__simps_I7_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INT__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8943, tc_fun(_u8944, tc_HOL_Obool)), _u8945), hAPP(hAPP(c_COMBB(tc_fun(_u8944, tc_HOL_Obool), tc_fun(_u8944, tc_HOL_Obool), _u8943), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8944, tc_HOL_Obool)), _u8946)), _u8947)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8944, tc_HOL_Obool)), _u8946), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8943, tc_fun(_u8944, tc_HOL_Obool)), _u8945), _u8947))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INT__simps_I6_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INT__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8948, tc_fun(_u8949, tc_HOL_Obool)), _u8950), hAPP(hAPP(c_COMBC(_u8948, tc_fun(_u8949, tc_HOL_Obool), tc_fun(_u8949, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8949, tc_HOL_Obool), tc_fun(tc_fun(_u8949, tc_HOL_Obool), tc_fun(_u8949, tc_HOL_Obool)), _u8948), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8949, tc_HOL_Obool))), _u8951)), _u8952)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8949, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8948, tc_fun(_u8949, tc_HOL_Obool)), _u8950), _u8951)), _u8952)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INT__extend__simps_I7_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INT__extend__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8953, tc_HOL_Obool)), _u8954), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8955, tc_fun(_u8953, tc_HOL_Obool)), _u8956), _u8957)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8955, tc_fun(_u8953, tc_HOL_Obool)), _u8956), hAPP(hAPP(c_COMBB(tc_fun(_u8953, tc_HOL_Obool), tc_fun(_u8953, tc_HOL_Obool), _u8955), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8953, tc_HOL_Obool)), _u8954)), _u8957))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Un__INT__distrib ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Un__INT__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8958, tc_HOL_Obool)), _u8959), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8960, tc_fun(_u8958, tc_HOL_Obool)), _u8961), _u8962)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8960, tc_fun(_u8958, tc_HOL_Obool)), _u8961), hAPP(hAPP(c_COMBB(tc_fun(_u8958, tc_HOL_Obool), tc_fun(_u8958, tc_HOL_Obool), _u8960), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8958, tc_HOL_Obool)), _u8959)), _u8962))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INT__extend__simps_I6_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INT__extend__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8963, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8964, tc_fun(_u8963, tc_HOL_Obool)), _u8965), _u8966)), _u8967) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8964, tc_fun(_u8963, tc_HOL_Obool)), _u8965), hAPP(hAPP(c_COMBC(_u8964, tc_fun(_u8963, tc_HOL_Obool), tc_fun(_u8963, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8963, tc_HOL_Obool), tc_fun(tc_fun(_u8963, tc_HOL_Obool), tc_fun(_u8963, tc_HOL_Obool)), _u8964), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8963, tc_HOL_Obool))), _u8966)), _u8967))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Un__INT__distrib2 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Un__INT__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8968, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8969, tc_fun(_u8968, tc_HOL_Obool)), _u8970), _u8971)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8972, tc_fun(_u8968, tc_HOL_Obool)), _u8973), _u8974)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8969, tc_fun(_u8968, tc_HOL_Obool)), _u8970), hAPP(hAPP(c_COMBB(tc_fun(_u8972, tc_fun(_u8968, tc_HOL_Obool)), tc_fun(_u8968, tc_HOL_Obool), _u8969), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8972, tc_fun(_u8968, tc_HOL_Obool)), _u8973)), hAPP(hAPP(c_COMBC(_u8969, tc_fun(_u8972, tc_fun(_u8968, tc_HOL_Obool)), tc_fun(_u8972, tc_fun(_u8968, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8968, tc_HOL_Obool), tc_fun(_u8968, tc_HOL_Obool)), tc_fun(tc_fun(_u8972, tc_fun(_u8968, tc_HOL_Obool)), tc_fun(_u8972, tc_fun(_u8968, tc_HOL_Obool))), _u8969), c_COMBB(tc_fun(_u8968, tc_HOL_Obool), tc_fun(_u8968, tc_HOL_Obool), _u8972)), hAPP(hAPP(c_COMBB(tc_fun(_u8968, tc_HOL_Obool), tc_fun(tc_fun(_u8968, tc_HOL_Obool), tc_fun(_u8968, tc_HOL_Obool)), _u8969), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8968, tc_HOL_Obool))), _u8971))), _u8974)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Collect__disj__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Collect__disj__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u8975), hAPP(hAPP(c_COMBS(_u8975, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8975), c_fdisj), _u8976)), _u8977)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8975, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u8975), _u8976)), hAPP(c_Set_OCollect(_u8975), _u8977))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_sup__fun__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_sup__fun__def-1, axiom, ( ~class_Lattices_Olattice(_u8978) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8979, _u8978)), _u8980), _u8981), _u8982) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8978), hAPP(_u8980, _u8982)), hAPP(_u8981, _u8982))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Un__Inter ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Un__Inter-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8983, tc_HOL_Obool)), _u8984), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u8983, tc_HOL_Obool), _u8985)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u8983, tc_HOL_Obool), tc_fun(_u8983, tc_HOL_Obool)), _u8985), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8983, tc_HOL_Obool)), _u8984))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__absorb ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8986), _u8987), _u8988)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8989, tc_HOL_Obool)), hAPP(_u8990, _u8987)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8986, tc_fun(_u8989, tc_HOL_Obool)), _u8988), _u8990)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8986, tc_fun(_u8989, tc_HOL_Obool)), _u8988), _u8990)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Un__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Un__def-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8991, tc_HOL_Obool)), _u8992), _u8993) = hAPP(c_Set_OCollect(_u8991), hAPP(hAPP(c_COMBS(_u8991, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8991), c_fdisj), hAPP(hAPP(c_COMBC(_u8991, tc_fun(_u8991, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8991)), _u8992))), hAPP(hAPP(c_COMBC(_u8991, tc_fun(_u8991, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8991)), _u8993)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INT__Un ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INT__Un-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8994, tc_fun(_u8995, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8994, tc_HOL_Obool)), _u8996), _u8997)), _u8998) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8995, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8994, tc_fun(_u8995, tc_HOL_Obool)), _u8996), _u8998)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8994, tc_fun(_u8995, tc_HOL_Obool)), _u8997), _u8998))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Union__image__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Union__image__eq-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u8999, tc_HOL_Obool), hAPP(c_Set_Oimage(_u9000, tc_fun(_u8999, tc_HOL_Obool), _u9001), _u9002)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9000, tc_fun(_u8999, tc_HOL_Obool)), _u9002), _u9001)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UNION__eq__Union__image ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UNION__eq__Union__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9003, tc_fun(_u9004, tc_HOL_Obool)), _u9005), _u9006) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9004, tc_HOL_Obool), hAPP(c_Set_Oimage(_u9003, tc_fun(_u9004, tc_HOL_Obool), _u9006), _u9005))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INT__simps_I1_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INT__simps_I1_J-1, axiom, ( ( _u9012 != c_Orderings_Obot__class_Obot(tc_fun(_u9014, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9014, tc_fun(_u9016, tc_HOL_Obool)), _u9012), hAPP(hAPP(c_COMBC(_u9014, tc_fun(_u9016, tc_HOL_Obool), tc_fun(_u9016, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9016, tc_HOL_Obool), tc_fun(tc_fun(_u9016, tc_HOL_Obool), tc_fun(_u9016, tc_HOL_Obool)), _u9014), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9016, tc_HOL_Obool))), _u9018)), _u9020)) = c_Orderings_Otop__class_Otop(tc_fun(_u9016, tc_HOL_Obool))) )).
% 12.53/12.72 cnf(fact_INT__simps_I1_J-2, axiom, ( ( _u9013 = c_Orderings_Obot__class_Obot(tc_fun(_u9015, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9015, tc_fun(_u9017, tc_HOL_Obool)), _u9013), hAPP(hAPP(c_COMBC(_u9015, tc_fun(_u9017, tc_HOL_Obool), tc_fun(_u9017, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9017, tc_HOL_Obool), tc_fun(tc_fun(_u9017, tc_HOL_Obool), tc_fun(_u9017, tc_HOL_Obool)), _u9015), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9017, tc_HOL_Obool))), _u9019)), _u9021)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9017, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9015, tc_fun(_u9017, tc_HOL_Obool)), _u9013), _u9019)), _u9021)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INT__simps_I2_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INT__simps_I2_J-1, axiom, ( ( _u9027 != c_Orderings_Obot__class_Obot(tc_fun(_u9029, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9029, tc_fun(_u9031, tc_HOL_Obool)), _u9027), hAPP(hAPP(c_COMBB(tc_fun(_u9031, tc_HOL_Obool), tc_fun(_u9031, tc_HOL_Obool), _u9029), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9031, tc_HOL_Obool)), _u9033)), _u9035)) = c_Orderings_Otop__class_Otop(tc_fun(_u9031, tc_HOL_Obool))) )).
% 12.53/12.72 cnf(fact_INT__simps_I2_J-2, axiom, ( ( _u9028 = c_Orderings_Obot__class_Obot(tc_fun(_u9030, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9030, tc_fun(_u9032, tc_HOL_Obool)), _u9028), hAPP(hAPP(c_COMBB(tc_fun(_u9032, tc_HOL_Obool), tc_fun(_u9032, tc_HOL_Obool), _u9030), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9032, tc_HOL_Obool)), _u9034)), _u9036)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9032, tc_HOL_Obool)), _u9034), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9030, tc_fun(_u9032, tc_HOL_Obool)), _u9028), _u9036))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_inf__Int__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_inf__Int__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9041, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u9041, tc_fun(_u9041, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9041)), _u9043)), hAPP(hAPP(c_COMBC(_u9041, tc_fun(_u9041, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9041)), _u9045)), _u9047)) | hBOOL(hAPP(hAPP(c_member(_u9041), _u9047), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9041, tc_HOL_Obool)), _u9043), _u9045))) )).
% 12.53/12.72 cnf(fact_inf__Int__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9042), _u9048), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9042, tc_HOL_Obool)), _u9044), _u9046))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9042, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u9042, tc_fun(_u9042, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9042)), _u9044)), hAPP(hAPP(c_COMBC(_u9042, tc_fun(_u9042, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9042)), _u9046)), _u9048)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INT__absorb ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INT__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9049), _u9050), _u9051)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9052, tc_HOL_Obool)), hAPP(_u9053, _u9050)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9049, tc_fun(_u9052, tc_HOL_Obool)), _u9051), _u9053)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9049, tc_fun(_u9052, tc_HOL_Obool)), _u9051), _u9053)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_inf__Int__eq2 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_inf__Int__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9060, tc_fun(_u9062, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u9060, tc_fun(tc_prod(_u9060, _u9062), tc_HOL_Obool), tc_fun(_u9062, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9062, tc_fun(tc_fun(tc_prod(_u9060, _u9062), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9060, _u9062), tc_HOL_Obool), tc_fun(_u9062, tc_HOL_Obool)), _u9060), c_COMBC(_u9062, tc_fun(tc_prod(_u9060, _u9062), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9062, tc_prod(_u9060, _u9062)), tc_fun(_u9062, tc_fun(tc_fun(tc_prod(_u9060, _u9062), tc_HOL_Obool), tc_HOL_Obool)), _u9060), hAPP(c_COMBB(tc_prod(_u9060, _u9062), tc_fun(tc_fun(tc_prod(_u9060, _u9062), tc_HOL_Obool), tc_HOL_Obool), _u9062), c_member(tc_prod(_u9060, _u9062)))), c_Product__Type_OPair(_u9060, _u9062)))), _u9064)), hAPP(hAPP(c_COMBC(_u9060, tc_fun(tc_prod(_u9060, _u9062), tc_HOL_Obool), tc_fun(_u9062, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9062, tc_fun(tc_fun(tc_prod(_u9060, _u9062), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9060, _u9062), tc_HOL_Obool), tc_fun(_u9062, tc_HOL_Obool)), _u9060), c_COMBC(_u9062, tc_fun(tc_prod(_u9060, _u9062), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9062, tc_prod(_u9060, _u9062)), tc_fun(_u9062, tc_fun(tc_fun(tc_prod(_u9060, _u9062), tc_HOL_Obool), tc_HOL_Obool)), _u9060), hAPP(c_COMBB(tc_prod(_u9060, _u9062), tc_fun(tc_fun(tc_prod(_u9060, _u9062), tc_HOL_Obool), tc_HOL_Obool), _u9062), c_member(tc_prod(_u9060, _u9062)))), c_Product__Type_OPair(_u9060, _u9062)))), _u9066)), _u9068), _u9070)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u9060, _u9062)), hAPP(hAPP(c_Product__Type_OPair(_u9060, _u9062), _u9068), _u9070)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u9060, _u9062), tc_HOL_Obool)), _u9064), _u9066))) )).
% 12.53/12.72 cnf(fact_inf__Int__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9061, _u9063)), hAPP(hAPP(c_Product__Type_OPair(_u9061, _u9063), _u9069), _u9071)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u9061, _u9063), tc_HOL_Obool)), _u9065), _u9067))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9061, tc_fun(_u9063, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u9061, tc_fun(tc_prod(_u9061, _u9063), tc_HOL_Obool), tc_fun(_u9063, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9063, tc_fun(tc_fun(tc_prod(_u9061, _u9063), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9061, _u9063), tc_HOL_Obool), tc_fun(_u9063, tc_HOL_Obool)), _u9061), c_COMBC(_u9063, tc_fun(tc_prod(_u9061, _u9063), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9063, tc_prod(_u9061, _u9063)), tc_fun(_u9063, tc_fun(tc_fun(tc_prod(_u9061, _u9063), tc_HOL_Obool), tc_HOL_Obool)), _u9061), hAPP(c_COMBB(tc_prod(_u9061, _u9063), tc_fun(tc_fun(tc_prod(_u9061, _u9063), tc_HOL_Obool), tc_HOL_Obool), _u9063), c_member(tc_prod(_u9061, _u9063)))), c_Product__Type_OPair(_u9061, _u9063)))), _u9065)), hAPP(hAPP(c_COMBC(_u9061, tc_fun(tc_prod(_u9061, _u9063), tc_HOL_Obool), tc_fun(_u9063, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9063, tc_fun(tc_fun(tc_prod(_u9061, _u9063), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9061, _u9063), tc_HOL_Obool), tc_fun(_u9063, tc_HOL_Obool)), _u9061), c_COMBC(_u9063, tc_fun(tc_prod(_u9061, _u9063), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9063, tc_prod(_u9061, _u9063)), tc_fun(_u9063, tc_fun(tc_fun(tc_prod(_u9061, _u9063), tc_HOL_Obool), tc_HOL_Obool)), _u9061), hAPP(c_COMBB(tc_prod(_u9061, _u9063), tc_fun(tc_fun(tc_prod(_u9061, _u9063), tc_HOL_Obool), tc_HOL_Obool), _u9063), c_member(tc_prod(_u9061, _u9063)))), c_Product__Type_OPair(_u9061, _u9063)))), _u9067)), _u9069), _u9071)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INT__insert ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INT__insert-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9072, tc_fun(_u9073, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9072), _u9074), _u9075)), _u9076) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9073, tc_HOL_Obool)), hAPP(_u9076, _u9074)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9072, tc_fun(_u9073, tc_HOL_Obool)), _u9075), _u9076))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INT__extend__simps_I2_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INT__extend__simps_I2_J-1, axiom, ( ( _u9082 != c_Orderings_Obot__class_Obot(tc_fun(_u9084, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9086, tc_HOL_Obool)), _u9088), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9084, tc_fun(_u9086, tc_HOL_Obool)), _u9082), _u9090)) = _u9088) )).
% 12.53/12.72 cnf(fact_INT__extend__simps_I2_J-2, axiom, ( ( _u9083 = c_Orderings_Obot__class_Obot(tc_fun(_u9085, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9087, tc_HOL_Obool)), _u9089), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9085, tc_fun(_u9087, tc_HOL_Obool)), _u9083), _u9091)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9085, tc_fun(_u9087, tc_HOL_Obool)), _u9083), hAPP(hAPP(c_COMBB(tc_fun(_u9087, tc_HOL_Obool), tc_fun(_u9087, tc_HOL_Obool), _u9085), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9087, tc_HOL_Obool)), _u9089)), _u9091))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INT__extend__simps_I1_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INT__extend__simps_I1_J-1, axiom, ( ( _u9097 != c_Orderings_Obot__class_Obot(tc_fun(_u9099, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9101, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9099, tc_fun(_u9101, tc_HOL_Obool)), _u9097), _u9103)), _u9105) = _u9105) )).
% 12.53/12.72 cnf(fact_INT__extend__simps_I1_J-2, axiom, ( ( _u9098 = c_Orderings_Obot__class_Obot(tc_fun(_u9100, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9102, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9100, tc_fun(_u9102, tc_HOL_Obool)), _u9098), _u9104)), _u9106) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9100, tc_fun(_u9102, tc_HOL_Obool)), _u9098), hAPP(hAPP(c_COMBC(_u9100, tc_fun(_u9102, tc_HOL_Obool), tc_fun(_u9102, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9102, tc_HOL_Obool), tc_fun(tc_fun(_u9102, tc_HOL_Obool), tc_fun(_u9102, tc_HOL_Obool)), _u9100), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9102, tc_HOL_Obool))), _u9104)), _u9106))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Int__Union ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Int__Union-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9107, tc_HOL_Obool)), _u9108), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9107, tc_HOL_Obool), _u9109)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9107, tc_HOL_Obool), tc_fun(_u9107, tc_HOL_Obool)), _u9109), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9107, tc_HOL_Obool)), _u9108))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Int__Union2 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Int__Union2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9110, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9110, tc_HOL_Obool), _u9111)), _u9112) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9110, tc_HOL_Obool), tc_fun(_u9110, tc_HOL_Obool)), _u9111), hAPP(hAPP(c_COMBC(tc_fun(_u9110, tc_HOL_Obool), tc_fun(_u9110, tc_HOL_Obool), tc_fun(_u9110, tc_HOL_Obool)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9110, tc_HOL_Obool))), _u9112))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__simps_I5_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9113, tc_fun(_u9114, tc_HOL_Obool)), _u9115), hAPP(hAPP(c_COMBB(tc_fun(_u9114, tc_HOL_Obool), tc_fun(_u9114, tc_HOL_Obool), _u9113), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9114, tc_HOL_Obool)), _u9116)), _u9117)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9114, tc_HOL_Obool)), _u9116), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9113, tc_fun(_u9114, tc_HOL_Obool)), _u9115), _u9117))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__simps_I4_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__simps_I4_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9118, tc_fun(_u9119, tc_HOL_Obool)), _u9120), hAPP(hAPP(c_COMBC(_u9118, tc_fun(_u9119, tc_HOL_Obool), tc_fun(_u9119, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9119, tc_HOL_Obool), tc_fun(tc_fun(_u9119, tc_HOL_Obool), tc_fun(_u9119, tc_HOL_Obool)), _u9118), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9119, tc_HOL_Obool))), _u9121)), _u9122)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9119, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9118, tc_fun(_u9119, tc_HOL_Obool)), _u9120), _u9121)), _u9122)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__extend__simps_I5_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__extend__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9123, tc_HOL_Obool)), _u9124), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9125, tc_fun(_u9123, tc_HOL_Obool)), _u9126), _u9127)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9125, tc_fun(_u9123, tc_HOL_Obool)), _u9126), hAPP(hAPP(c_COMBB(tc_fun(_u9123, tc_HOL_Obool), tc_fun(_u9123, tc_HOL_Obool), _u9125), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9123, tc_HOL_Obool)), _u9124)), _u9127))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Int__UN__distrib ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Int__UN__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9128, tc_HOL_Obool)), _u9129), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9130, tc_fun(_u9128, tc_HOL_Obool)), _u9131), _u9132)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9130, tc_fun(_u9128, tc_HOL_Obool)), _u9131), hAPP(hAPP(c_COMBB(tc_fun(_u9128, tc_HOL_Obool), tc_fun(_u9128, tc_HOL_Obool), _u9130), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9128, tc_HOL_Obool)), _u9129)), _u9132))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__extend__simps_I4_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__extend__simps_I4_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9133, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9134, tc_fun(_u9133, tc_HOL_Obool)), _u9135), _u9136)), _u9137) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9134, tc_fun(_u9133, tc_HOL_Obool)), _u9135), hAPP(hAPP(c_COMBC(_u9134, tc_fun(_u9133, tc_HOL_Obool), tc_fun(_u9133, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9133, tc_HOL_Obool), tc_fun(tc_fun(_u9133, tc_HOL_Obool), tc_fun(_u9133, tc_HOL_Obool)), _u9134), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9133, tc_HOL_Obool))), _u9136)), _u9137))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Int__UN__distrib2 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Int__UN__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9138, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9139, tc_fun(_u9138, tc_HOL_Obool)), _u9140), _u9141)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9142, tc_fun(_u9138, tc_HOL_Obool)), _u9143), _u9144)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9139, tc_fun(_u9138, tc_HOL_Obool)), _u9140), hAPP(hAPP(c_COMBB(tc_fun(_u9142, tc_fun(_u9138, tc_HOL_Obool)), tc_fun(_u9138, tc_HOL_Obool), _u9139), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9142, tc_fun(_u9138, tc_HOL_Obool)), _u9143)), hAPP(hAPP(c_COMBC(_u9139, tc_fun(_u9142, tc_fun(_u9138, tc_HOL_Obool)), tc_fun(_u9142, tc_fun(_u9138, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9138, tc_HOL_Obool), tc_fun(_u9138, tc_HOL_Obool)), tc_fun(tc_fun(_u9142, tc_fun(_u9138, tc_HOL_Obool)), tc_fun(_u9142, tc_fun(_u9138, tc_HOL_Obool))), _u9139), c_COMBB(tc_fun(_u9138, tc_HOL_Obool), tc_fun(_u9138, tc_HOL_Obool), _u9142)), hAPP(hAPP(c_COMBB(tc_fun(_u9138, tc_HOL_Obool), tc_fun(tc_fun(_u9138, tc_HOL_Obool), tc_fun(_u9138, tc_HOL_Obool)), _u9139), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9138, tc_HOL_Obool))), _u9141))), _u9144)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INT__Int__distrib ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INT__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9145, tc_fun(_u9146, tc_HOL_Obool)), _u9147), hAPP(hAPP(c_COMBS(_u9145, tc_fun(_u9146, tc_HOL_Obool), tc_fun(_u9146, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9146, tc_HOL_Obool), tc_fun(tc_fun(_u9146, tc_HOL_Obool), tc_fun(_u9146, tc_HOL_Obool)), _u9145), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9146, tc_HOL_Obool))), _u9148)), _u9149)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9146, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9145, tc_fun(_u9146, tc_HOL_Obool)), _u9147), _u9148)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9145, tc_fun(_u9146, tc_HOL_Obool)), _u9147), _u9149))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Collect__conj__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Collect__conj__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u9150), hAPP(hAPP(c_COMBS(_u9150, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9150), c_fconj), _u9151)), _u9152)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9150, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u9150), _u9151)), hAPP(c_Set_OCollect(_u9150), _u9152))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_inf__fun__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_inf__fun__def-1, axiom, ( ~class_Lattices_Olattice(_u9153) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9154, _u9153)), _u9155), _u9156), _u9157) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9153), hAPP(_u9155, _u9157)), hAPP(_u9156, _u9157))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Int__Collect ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Int__Collect-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9162), _u9164), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9162, tc_HOL_Obool)), _u9166), hAPP(c_Set_OCollect(_u9162), _u9168)))) | hBOOL(hAPP(hAPP(c_member(_u9162), _u9164), _u9166)) )).
% 12.53/12.72 cnf(fact_Int__Collect-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9162), _u9164), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9162, tc_HOL_Obool)), _u9166), hAPP(c_Set_OCollect(_u9162), _u9168)))) | hBOOL(hAPP(_u9168, _u9164)) )).
% 12.53/12.72 cnf(fact_Int__Collect-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9163), _u9165), _u9167)) | ~hBOOL(hAPP(_u9169, _u9165)) | hBOOL(hAPP(hAPP(c_member(_u9163), _u9165), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9163, tc_HOL_Obool)), _u9167), hAPP(c_Set_OCollect(_u9163), _u9169)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Int__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Int__def-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9170, tc_HOL_Obool)), _u9171), _u9172) = hAPP(c_Set_OCollect(_u9170), hAPP(hAPP(c_COMBS(_u9170, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9170), c_fconj), hAPP(hAPP(c_COMBC(_u9170, tc_fun(_u9170, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9170)), _u9171))), hAPP(hAPP(c_COMBC(_u9170, tc_fun(_u9170, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9170)), _u9172)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setsum__shift__bounds__nat__ivl ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setsum__shift__bounds__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9173) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9173), _u9174), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9175), _u9176)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9177), _u9176))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9173), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u9173, tc_Nat_Onat), _u9174), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u9176))), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u9175), _u9177))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_card__eq__setsum ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_card__eq__setsum-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u9178), _u9179) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9178, tc_Nat_Onat), hAPP(c_COMBK(tc_Nat_Onat, _u9178), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u9179)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__UN__finite__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__UN__finite__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u9180, 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(_u9180, tc_HOL_Obool)), tc_fun(_u9180, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_fun(_u9180, tc_HOL_Obool)), tc_fun(_u9180, tc_HOL_Obool)), tc_Nat_Onat), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u9180, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), _u9181)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u9180, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u9181)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setsum__shift__bounds__cl__Suc__ivl ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setsum__shift__bounds__cl__Suc__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9182) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9182), _u9183), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9184), hAPP(c_Nat_OSuc, _u9185))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9182), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u9182, tc_Nat_Onat), _u9183), c_Nat_OSuc)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u9184, _u9185))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_transfer__nat__int__sum__prod_I2_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_transfer__nat__int__sum__prod_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9186) | ~class_Groups_Ocomm__monoid__mult(_u9186) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u9186), _u9187), _u9188) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u9186), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u9186, tc_Int_Oint), _u9187), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9188))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setsum__shift__bounds__cl__nat__ivl ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setsum__shift__bounds__cl__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9189) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9189), _u9190), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9191), _u9192), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9193), _u9192))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9189), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u9189, tc_Nat_Onat), _u9190), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u9192))), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u9191, _u9193))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_nat_Osize_I1_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_nat_Osize_I1_J-1, axiom, ( ( c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_less__eq__Suc__le__raw ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_less__eq__Suc__le__raw-1, axiom, ( ( hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9194) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9194))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_nat__number__of__Bit0 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_nat__number__of__Bit0-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u9195)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9195)), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_COMBI(tc_Nat_Onat)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_nat__seg__image__imp__finite ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_nat__seg__image__imp__finite-1, axiom, ( ( _u9196 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u9197, _u9198), 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)), _u9199)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9197), _u9196)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_finite__M__bounded__by__nat ( axiom ) converted to clauses:
% 12.53/12.72 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), _u9200)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u9201))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INF__less__iff ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INF__less__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9204) | ~class_Orderings_Olinorder(_u9204) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9204), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9205, _u9204), _u9206), _u9207)), _u9208)) | hBOOL(hAPP(hAPP(c_member(_u9205), skolem245(_u9208, _u9207, _u9206, _u9205, _u9204)), _u9206)) )).
% 12.53/12.72 cnf(fact_INF__less__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9204) | ~class_Orderings_Olinorder(_u9204) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9204), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9205, _u9204), _u9206), _u9207)), _u9208)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9204), hAPP(_u9207, skolem245(_u9208, _u9207, _u9206, _u9205, _u9204))), _u9208)) )).
% 12.53/12.72 cnf(fact_INF__less__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9204) | ~class_Orderings_Olinorder(_u9204) | ~hBOOL(hAPP(hAPP(c_member(_u9205), _u9203), _u9206)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9204), hAPP(_u9207, _u9203)), _u9208)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9204), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9205, _u9204), _u9206), _u9207)), _u9208)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_less__SUP__iff ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_less__SUP__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9211) | ~class_Orderings_Olinorder(_u9211) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9211), _u9212), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9213, _u9211), _u9214), _u9215))) | hBOOL(hAPP(hAPP(c_member(_u9213), skolem246(_u9215, _u9214, _u9213, _u9212, _u9211)), _u9214)) )).
% 12.53/12.72 cnf(fact_less__SUP__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9211) | ~class_Orderings_Olinorder(_u9211) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9211), _u9212), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9213, _u9211), _u9214), _u9215))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9211), _u9212), hAPP(_u9215, skolem246(_u9215, _u9214, _u9213, _u9212, _u9211)))) )).
% 12.53/12.72 cnf(fact_less__SUP__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9211) | ~class_Orderings_Olinorder(_u9211) | ~hBOOL(hAPP(hAPP(c_member(_u9213), _u9210), _u9214)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9211), _u9212), hAPP(_u9215, _u9210))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9211), _u9212), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9213, _u9211), _u9214), _u9215))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setsum__addf ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setsum__addf-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9216) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9217, _u9216), hAPP(hAPP(c_COMBS(_u9217, _u9216, _u9216), hAPP(hAPP(c_COMBB(_u9216, tc_fun(_u9216, _u9216), _u9217), c_Groups_Oplus__class_Oplus(_u9216)), _u9218)), _u9219)), _u9220) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9216), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9217, _u9216), _u9218), _u9220)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9217, _u9216), _u9219), _u9220))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_le__INF__iff ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_le__INF__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9223) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9223), _u9224), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9225, _u9223), _u9226), _u9227))) | ~hBOOL(hAPP(hAPP(c_member(_u9225), _u9221), _u9226)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9223), _u9224), hAPP(_u9227, _u9221))) )).
% 12.53/12.72 cnf(fact_le__INF__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9223) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9223), _u9224), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9225, _u9223), _u9226), _u9227))) | hBOOL(hAPP(hAPP(c_member(_u9225), skolem247(_u9227, _u9226, _u9225, _u9224, _u9223)), _u9226)) )).
% 12.53/12.72 cnf(fact_le__INF__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9223) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9223), _u9224), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9225, _u9223), _u9226), _u9227))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9223), _u9224), hAPP(_u9227, skolem247(_u9227, _u9226, _u9225, _u9224, _u9223)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_SUP__le__iff ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_SUP__le__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9230) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9230), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9231, _u9230), _u9232), _u9233)), _u9234)) | ~hBOOL(hAPP(hAPP(c_member(_u9231), _u9228), _u9232)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9230), hAPP(_u9233, _u9228)), _u9234)) )).
% 12.53/12.72 cnf(fact_SUP__le__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9230) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9230), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9231, _u9230), _u9232), _u9233)), _u9234)) | hBOOL(hAPP(hAPP(c_member(_u9231), skolem248(_u9234, _u9233, _u9232, _u9231, _u9230)), _u9232)) )).
% 12.53/12.72 cnf(fact_SUP__le__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9230) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9230), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9231, _u9230), _u9232), _u9233)), _u9234)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9230), hAPP(_u9233, skolem248(_u9234, _u9233, _u9232, _u9231, _u9230))), _u9234)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INT__subset__iff ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INT__subset__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9242, tc_HOL_Obool)), _u9244), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9246, tc_fun(_u9242, tc_HOL_Obool)), _u9248), _u9250))) | ~hBOOL(hAPP(hAPP(c_member(_u9246), _u9235), _u9248)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9242, tc_HOL_Obool)), _u9244), hAPP(_u9250, _u9235))) )).
% 12.53/12.72 cnf(fact_INT__subset__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9243, tc_HOL_Obool)), _u9245), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9247, tc_fun(_u9243, tc_HOL_Obool)), _u9249), _u9251))) | hBOOL(hAPP(hAPP(c_member(_u9247), skolem249(_u9251, _u9249, _u9247, _u9245, _u9243)), _u9249)) )).
% 12.53/12.72 cnf(fact_INT__subset__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9243, tc_HOL_Obool)), _u9245), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9247, tc_fun(_u9243, tc_HOL_Obool)), _u9249), _u9251))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9243, tc_HOL_Obool)), _u9245), hAPP(_u9251, skolem249(_u9251, _u9249, _u9247, _u9245, _u9243)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__subset__iff ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__subset__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9259, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9261, tc_fun(_u9259, tc_HOL_Obool)), _u9263), _u9265)), _u9267)) | ~hBOOL(hAPP(hAPP(c_member(_u9261), _u9252), _u9263)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9259, tc_HOL_Obool)), hAPP(_u9265, _u9252)), _u9267)) )).
% 12.53/12.72 cnf(fact_UN__subset__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9260, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9262, tc_fun(_u9260, tc_HOL_Obool)), _u9264), _u9266)), _u9268)) | hBOOL(hAPP(hAPP(c_member(_u9262), skolem250(_u9268, _u9266, _u9264, _u9262, _u9260)), _u9264)) )).
% 12.53/12.72 cnf(fact_UN__subset__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9260, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9262, tc_fun(_u9260, tc_HOL_Obool)), _u9264), _u9266)), _u9268)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9260, tc_HOL_Obool)), hAPP(_u9266, skolem250(_u9268, _u9266, _u9264, _u9262, _u9260))), _u9268)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_pred__subset__eq2 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_pred__subset__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9273, tc_fun(_u9275, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u9273, tc_fun(tc_prod(_u9273, _u9275), tc_HOL_Obool), tc_fun(_u9275, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9275, tc_fun(tc_fun(tc_prod(_u9273, _u9275), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9273, _u9275), tc_HOL_Obool), tc_fun(_u9275, tc_HOL_Obool)), _u9273), c_COMBC(_u9275, tc_fun(tc_prod(_u9273, _u9275), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9275, tc_prod(_u9273, _u9275)), tc_fun(_u9275, tc_fun(tc_fun(tc_prod(_u9273, _u9275), tc_HOL_Obool), tc_HOL_Obool)), _u9273), hAPP(c_COMBB(tc_prod(_u9273, _u9275), tc_fun(tc_fun(tc_prod(_u9273, _u9275), tc_HOL_Obool), tc_HOL_Obool), _u9275), c_member(tc_prod(_u9273, _u9275)))), c_Product__Type_OPair(_u9273, _u9275)))), _u9277)), hAPP(hAPP(c_COMBC(_u9273, tc_fun(tc_prod(_u9273, _u9275), tc_HOL_Obool), tc_fun(_u9275, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9275, tc_fun(tc_fun(tc_prod(_u9273, _u9275), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9273, _u9275), tc_HOL_Obool), tc_fun(_u9275, tc_HOL_Obool)), _u9273), c_COMBC(_u9275, tc_fun(tc_prod(_u9273, _u9275), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9275, tc_prod(_u9273, _u9275)), tc_fun(_u9275, tc_fun(tc_fun(tc_prod(_u9273, _u9275), tc_HOL_Obool), tc_HOL_Obool)), _u9273), hAPP(c_COMBB(tc_prod(_u9273, _u9275), tc_fun(tc_fun(tc_prod(_u9273, _u9275), tc_HOL_Obool), tc_HOL_Obool), _u9275), c_member(tc_prod(_u9273, _u9275)))), c_Product__Type_OPair(_u9273, _u9275)))), _u9279))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u9273, _u9275), tc_HOL_Obool)), _u9277), _u9279)) )).
% 12.53/12.72 cnf(fact_pred__subset__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u9274, _u9276), tc_HOL_Obool)), _u9278), _u9280)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9274, tc_fun(_u9276, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u9274, tc_fun(tc_prod(_u9274, _u9276), tc_HOL_Obool), tc_fun(_u9276, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9276, tc_fun(tc_fun(tc_prod(_u9274, _u9276), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9274, _u9276), tc_HOL_Obool), tc_fun(_u9276, tc_HOL_Obool)), _u9274), c_COMBC(_u9276, tc_fun(tc_prod(_u9274, _u9276), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9276, tc_prod(_u9274, _u9276)), tc_fun(_u9276, tc_fun(tc_fun(tc_prod(_u9274, _u9276), tc_HOL_Obool), tc_HOL_Obool)), _u9274), hAPP(c_COMBB(tc_prod(_u9274, _u9276), tc_fun(tc_fun(tc_prod(_u9274, _u9276), tc_HOL_Obool), tc_HOL_Obool), _u9276), c_member(tc_prod(_u9274, _u9276)))), c_Product__Type_OPair(_u9274, _u9276)))), _u9278)), hAPP(hAPP(c_COMBC(_u9274, tc_fun(tc_prod(_u9274, _u9276), tc_HOL_Obool), tc_fun(_u9276, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9276, tc_fun(tc_fun(tc_prod(_u9274, _u9276), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9274, _u9276), tc_HOL_Obool), tc_fun(_u9276, tc_HOL_Obool)), _u9274), c_COMBC(_u9276, tc_fun(tc_prod(_u9274, _u9276), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9276, tc_prod(_u9274, _u9276)), tc_fun(_u9276, tc_fun(tc_fun(tc_prod(_u9274, _u9276), tc_HOL_Obool), tc_HOL_Obool)), _u9274), hAPP(c_COMBB(tc_prod(_u9274, _u9276), tc_fun(tc_fun(tc_prod(_u9274, _u9276), tc_HOL_Obool), tc_HOL_Obool), _u9276), c_member(tc_prod(_u9274, _u9276)))), c_Product__Type_OPair(_u9274, _u9276)))), _u9280))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INT__lower ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INT__lower-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9281), _u9282), _u9283)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9284, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9281, tc_fun(_u9284, tc_HOL_Obool)), _u9283), _u9285)), hAPP(_u9285, _u9282))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_pred__subset__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_pred__subset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9289, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u9289, tc_fun(_u9289, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9289)), _u9291)), hAPP(hAPP(c_COMBC(_u9289, tc_fun(_u9289, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9289)), _u9293))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9289, tc_HOL_Obool)), _u9291), _u9293)) )).
% 12.53/12.72 cnf(fact_pred__subset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9290, tc_HOL_Obool)), _u9292), _u9294)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9290, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u9290, tc_fun(_u9290, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9290)), _u9292)), hAPP(hAPP(c_COMBC(_u9290, tc_fun(_u9290, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9290)), _u9294))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__upper ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__upper-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9295), _u9296), _u9297)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9298, tc_HOL_Obool)), hAPP(_u9299, _u9296)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9295, tc_fun(_u9298, tc_HOL_Obool)), _u9297), _u9299))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setsum_Odistrib ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setsum_Odistrib-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9300) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9301), _u9302)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9301, _u9300), hAPP(hAPP(c_COMBS(_u9301, _u9300, _u9300), hAPP(hAPP(c_COMBB(_u9300, tc_fun(_u9300, _u9300), _u9301), c_Groups_Oplus__class_Oplus(_u9300)), _u9303)), _u9304)), _u9302) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9300), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9301, _u9300), _u9303), _u9302)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9301, _u9300), _u9304), _u9302))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INF__leI ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INF__leI-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9305) | ~hBOOL(hAPP(hAPP(c_member(_u9306), _u9307), _u9308)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9305), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9306, _u9305), _u9308), _u9309)), hAPP(_u9309, _u9307))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_le__SUPI ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_le__SUPI-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9310) | ~hBOOL(hAPP(hAPP(c_member(_u9311), _u9312), _u9313)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9310), hAPP(_u9314, _u9312)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9311, _u9310), _u9313), _u9314))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J ( axiom ) converted to clauses:
% 12.53/12.72 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)))), _u9315))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Pow__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Pow__def-1, axiom, ( ( hAPP(c_Set_OPow(_u9316), _u9317) = hAPP(c_Set_OCollect(tc_fun(_u9316, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u9316, tc_HOL_Obool), tc_fun(_u9316, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u9316, tc_HOL_Obool))), _u9317))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INT__simps_I3_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INT__simps_I3_J-1, axiom, ( ( _u9323 != c_Orderings_Obot__class_Obot(tc_fun(_u9325, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9325, tc_fun(_u9327, tc_HOL_Obool)), _u9323), hAPP(hAPP(c_COMBC(_u9325, tc_fun(_u9327, tc_HOL_Obool), tc_fun(_u9327, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9327, tc_HOL_Obool), tc_fun(tc_fun(_u9327, tc_HOL_Obool), tc_fun(_u9327, tc_HOL_Obool)), _u9325), c_Groups_Ominus__class_Ominus(tc_fun(_u9327, tc_HOL_Obool))), _u9329)), _u9331)) = c_Orderings_Otop__class_Otop(tc_fun(_u9327, tc_HOL_Obool))) )).
% 12.53/12.72 cnf(fact_INT__simps_I3_J-2, axiom, ( ( _u9324 = c_Orderings_Obot__class_Obot(tc_fun(_u9326, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9326, tc_fun(_u9328, tc_HOL_Obool)), _u9324), hAPP(hAPP(c_COMBC(_u9326, tc_fun(_u9328, tc_HOL_Obool), tc_fun(_u9328, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9328, tc_HOL_Obool), tc_fun(tc_fun(_u9328, tc_HOL_Obool), tc_fun(_u9328, tc_HOL_Obool)), _u9326), c_Groups_Ominus__class_Ominus(tc_fun(_u9328, tc_HOL_Obool))), _u9330)), _u9332)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9328, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9326, tc_fun(_u9328, tc_HOL_Obool)), _u9324), _u9330)), _u9332)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INT__extend__simps_I3_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INT__extend__simps_I3_J-1, axiom, ( ( _u9338 != c_Orderings_Obot__class_Obot(tc_fun(_u9340, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9342, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9340, tc_fun(_u9342, tc_HOL_Obool)), _u9338), _u9344)), _u9346) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9342, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9342, tc_HOL_Obool))), _u9346)) )).
% 12.53/12.72 cnf(fact_INT__extend__simps_I3_J-2, axiom, ( ( _u9339 = c_Orderings_Obot__class_Obot(tc_fun(_u9341, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9343, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9341, tc_fun(_u9343, tc_HOL_Obool)), _u9339), _u9345)), _u9347) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9341, tc_fun(_u9343, tc_HOL_Obool)), _u9339), hAPP(hAPP(c_COMBC(_u9341, tc_fun(_u9343, tc_HOL_Obool), tc_fun(_u9343, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9343, tc_HOL_Obool), tc_fun(tc_fun(_u9343, tc_HOL_Obool), tc_fun(_u9343, tc_HOL_Obool)), _u9341), c_Groups_Ominus__class_Ominus(tc_fun(_u9343, tc_HOL_Obool))), _u9345)), _u9347))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INT__extend__simps_I4_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INT__extend__simps_I4_J-1, axiom, ( ( _u9353 != c_Orderings_Obot__class_Obot(tc_fun(_u9355, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9357, tc_HOL_Obool)), _u9359), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9355, tc_fun(_u9357, tc_HOL_Obool)), _u9353), _u9361)) = _u9359) )).
% 12.53/12.72 cnf(fact_INT__extend__simps_I4_J-2, axiom, ( ( _u9354 = c_Orderings_Obot__class_Obot(tc_fun(_u9356, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9358, tc_HOL_Obool)), _u9360), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9356, tc_fun(_u9358, tc_HOL_Obool)), _u9354), _u9362)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9356, tc_fun(_u9358, tc_HOL_Obool)), _u9354), hAPP(hAPP(c_COMBB(tc_fun(_u9358, tc_HOL_Obool), tc_fun(_u9358, tc_HOL_Obool), _u9356), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9358, tc_HOL_Obool)), _u9360)), _u9362))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__simps_I7_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9363, tc_fun(_u9364, tc_HOL_Obool)), _u9365), hAPP(hAPP(c_COMBB(tc_fun(_u9364, tc_HOL_Obool), tc_fun(_u9364, tc_HOL_Obool), _u9363), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9364, tc_HOL_Obool)), _u9366)), _u9367)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9364, tc_HOL_Obool)), _u9366), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9363, tc_fun(_u9364, tc_HOL_Obool)), _u9365), _u9367))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__simps_I6_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9368, tc_fun(_u9369, tc_HOL_Obool)), _u9370), hAPP(hAPP(c_COMBC(_u9368, tc_fun(_u9369, tc_HOL_Obool), tc_fun(_u9369, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9369, tc_HOL_Obool), tc_fun(tc_fun(_u9369, tc_HOL_Obool), tc_fun(_u9369, tc_HOL_Obool)), _u9368), c_Groups_Ominus__class_Ominus(tc_fun(_u9369, tc_HOL_Obool))), _u9371)), _u9372)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9369, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9368, tc_fun(_u9369, tc_HOL_Obool)), _u9370), _u9371)), _u9372)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__extend__simps_I7_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__extend__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9373, tc_HOL_Obool)), _u9374), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9375, tc_fun(_u9373, tc_HOL_Obool)), _u9376), _u9377)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9375, tc_fun(_u9373, tc_HOL_Obool)), _u9376), hAPP(hAPP(c_COMBB(tc_fun(_u9373, tc_HOL_Obool), tc_fun(_u9373, tc_HOL_Obool), _u9375), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9373, tc_HOL_Obool)), _u9374)), _u9377))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__extend__simps_I6_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__extend__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9378, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9379, tc_fun(_u9378, tc_HOL_Obool)), _u9380), _u9381)), _u9382) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9379, tc_fun(_u9378, tc_HOL_Obool)), _u9380), hAPP(hAPP(c_COMBC(_u9379, tc_fun(_u9378, tc_HOL_Obool), tc_fun(_u9378, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9378, tc_HOL_Obool), tc_fun(tc_fun(_u9378, tc_HOL_Obool), tc_fun(_u9378, tc_HOL_Obool)), _u9379), c_Groups_Ominus__class_Ominus(tc_fun(_u9378, tc_HOL_Obool))), _u9381)), _u9382))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_fun__diff__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_fun__diff__def-1, axiom, ( ~class_Groups_Ominus(_u9383) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9384, _u9383)), _u9385), _u9386), _u9387) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9383), hAPP(_u9385, _u9387)), hAPP(_u9386, _u9387))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setsum__subtractf ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setsum__subtractf-1, axiom, ( ~class_Groups_Oab__group__add(_u9388) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9389, _u9388), hAPP(hAPP(c_COMBS(_u9389, _u9388, _u9388), hAPP(hAPP(c_COMBB(_u9388, tc_fun(_u9388, _u9388), _u9389), c_Groups_Ominus__class_Ominus(_u9388)), _u9390)), _u9391)), _u9392) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9388), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9389, _u9388), _u9390), _u9392)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9389, _u9388), _u9391), _u9392))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_set__diff__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_set__diff__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9393, tc_HOL_Obool)), _u9394), _u9395) = hAPP(c_Set_OCollect(_u9393), hAPP(hAPP(c_COMBS(_u9393, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9393), c_fconj), hAPP(hAPP(c_COMBC(_u9393, tc_fun(_u9393, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9393)), _u9394))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9393), c_fNot), hAPP(hAPP(c_COMBC(_u9393, tc_fun(_u9393, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9393)), _u9395))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_insert__compr ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_insert__compr-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u9396), _u9397), _u9398) = hAPP(c_Set_OCollect(_u9396), hAPP(hAPP(c_COMBS(_u9396, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9396), c_fdisj), hAPP(hAPP(c_COMBC(_u9396, _u9396, tc_HOL_Obool), c_fequal), _u9397))), hAPP(hAPP(c_COMBC(_u9396, tc_fun(_u9396, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9396)), _u9398)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_insert__compr__raw ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_insert__compr__raw-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u9399), _u9400), _u9401) = hAPP(c_Set_OCollect(_u9399), hAPP(hAPP(c_COMBS(_u9399, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9399), c_fdisj), hAPP(hAPP(c_COMBC(_u9399, _u9399, tc_HOL_Obool), c_fequal), _u9400))), hAPP(hAPP(c_COMBC(_u9399, tc_fun(_u9399, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9399)), _u9401)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Collect__conv__if ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Collect__conv__if-1, axiom, ( ~hBOOL(hAPP(_u9405, _u9407)) | ( hAPP(c_Set_OCollect(_u9409), hAPP(hAPP(c_COMBS(_u9409, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9409), c_fconj), hAPP(hAPP(c_COMBC(_u9409, _u9409, tc_HOL_Obool), c_fequal), _u9407))), _u9405)) = hAPP(hAPP(c_Set_Oinsert(_u9409), _u9407), c_Orderings_Obot__class_Obot(tc_fun(_u9409, tc_HOL_Obool)))) )).
% 12.53/12.72 cnf(fact_Collect__conv__if-2, axiom, ( hBOOL(hAPP(_u9406, _u9408)) | ( hAPP(c_Set_OCollect(_u9410), hAPP(hAPP(c_COMBS(_u9410, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9410), c_fconj), hAPP(hAPP(c_COMBC(_u9410, _u9410, tc_HOL_Obool), c_fequal), _u9408))), _u9406)) = c_Orderings_Obot__class_Obot(tc_fun(_u9410, tc_HOL_Obool))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Collect__conv__if2 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Collect__conv__if2-1, axiom, ( ~hBOOL(hAPP(_u9414, _u9416)) | ( hAPP(c_Set_OCollect(_u9418), hAPP(hAPP(c_COMBS(_u9418, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9418), c_fconj), hAPP(c_fequal, _u9416))), _u9414)) = hAPP(hAPP(c_Set_Oinsert(_u9418), _u9416), c_Orderings_Obot__class_Obot(tc_fun(_u9418, tc_HOL_Obool)))) )).
% 12.53/12.72 cnf(fact_Collect__conv__if2-2, axiom, ( hBOOL(hAPP(_u9415, _u9417)) | ( hAPP(c_Set_OCollect(_u9419), hAPP(hAPP(c_COMBS(_u9419, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9419), c_fconj), hAPP(c_fequal, _u9417))), _u9415)) = c_Orderings_Obot__class_Obot(tc_fun(_u9419, tc_HOL_Obool))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_singleton__conv ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_singleton__conv-1, axiom, ( ( hAPP(c_Set_OCollect(_u9420), hAPP(hAPP(c_COMBC(_u9420, _u9420, tc_HOL_Obool), c_fequal), _u9421)) = hAPP(hAPP(c_Set_Oinsert(_u9420), _u9421), c_Orderings_Obot__class_Obot(tc_fun(_u9420, tc_HOL_Obool)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_singleton__conv2 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_singleton__conv2-1, axiom, ( ( hAPP(c_Set_OCollect(_u9422), hAPP(c_fequal, _u9423)) = hAPP(hAPP(c_Set_Oinsert(_u9422), _u9423), c_Orderings_Obot__class_Obot(tc_fun(_u9422, tc_HOL_Obool)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__insert__distrib ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__insert__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9424), _u9425), _u9426)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9424, tc_fun(_u9427, tc_HOL_Obool)), _u9426), hAPP(hAPP(c_COMBB(tc_fun(_u9427, tc_HOL_Obool), tc_fun(_u9427, tc_HOL_Obool), _u9424), hAPP(c_Set_Oinsert(_u9427), _u9428)), _u9429)) = hAPP(hAPP(c_Set_Oinsert(_u9427), _u9428), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9424, tc_fun(_u9427, tc_HOL_Obool)), _u9426), _u9429))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_image__constant__conv ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_image__constant__conv-1, axiom, ( ( _u9434 != c_Orderings_Obot__class_Obot(tc_fun(_u9436, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u9436, _u9438, hAPP(c_COMBK(_u9438, _u9436), _u9440)), _u9434) = c_Orderings_Obot__class_Obot(tc_fun(_u9438, tc_HOL_Obool))) )).
% 12.53/12.72 cnf(fact_image__constant__conv-2, axiom, ( ( _u9435 = c_Orderings_Obot__class_Obot(tc_fun(_u9437, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u9437, _u9439, hAPP(c_COMBK(_u9439, _u9437), _u9441)), _u9435) = hAPP(hAPP(c_Set_Oinsert(_u9439), _u9441), c_Orderings_Obot__class_Obot(tc_fun(_u9439, tc_HOL_Obool)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_abs__setprod ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_abs__setprod-1, axiom, ( ~class_Fields_Olinordered__field(_u9442) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9442), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9443, _u9442), _u9444), _u9445)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9443, _u9442), hAPP(hAPP(c_COMBB(_u9442, _u9442, _u9443), c_Groups_Oabs__class_Oabs(_u9442)), _u9444)), _u9445)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_abs__setsum__abs ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_abs__setsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u9446) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9446), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9447, _u9446), hAPP(hAPP(c_COMBB(_u9446, _u9446, _u9447), c_Groups_Oabs__class_Oabs(_u9446)), _u9448)), _u9449)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9447, _u9446), hAPP(hAPP(c_COMBB(_u9446, _u9446, _u9447), c_Groups_Oabs__class_Oabs(_u9446)), _u9448)), _u9449)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INTER__eq__Inter__image ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INTER__eq__Inter__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9450, tc_fun(_u9451, tc_HOL_Obool)), _u9452), _u9453) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u9451, tc_HOL_Obool), hAPP(c_Set_Oimage(_u9450, tc_fun(_u9451, tc_HOL_Obool), _u9453), _u9452))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Inter__image__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Inter__image__eq-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u9454, tc_HOL_Obool), hAPP(c_Set_Oimage(_u9455, tc_fun(_u9454, tc_HOL_Obool), _u9456), _u9457)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9455, tc_fun(_u9454, tc_HOL_Obool)), _u9457), _u9456)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_image__Union ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_image__Union-1, axiom, ( ( hAPP(c_Set_Oimage(_u9458, _u9459, _u9460), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9458, tc_HOL_Obool), _u9461)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9458, tc_HOL_Obool), tc_fun(_u9459, tc_HOL_Obool)), _u9461), c_Set_Oimage(_u9458, _u9459, _u9460))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__simps_I10_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9462, tc_fun(_u9463, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u9464, _u9462, _u9465), _u9466)), _u9467) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9464, tc_fun(_u9463, tc_HOL_Obool)), _u9466), hAPP(hAPP(c_COMBB(_u9462, tc_fun(_u9463, tc_HOL_Obool), _u9464), _u9467), _u9465))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_image__UN ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_image__UN-1, axiom, ( ( hAPP(c_Set_Oimage(_u9468, _u9469, _u9470), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9471, tc_fun(_u9468, tc_HOL_Obool)), _u9472), _u9473)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9471, tc_fun(_u9469, tc_HOL_Obool)), _u9472), hAPP(hAPP(c_COMBB(tc_fun(_u9468, tc_HOL_Obool), tc_fun(_u9469, tc_HOL_Obool), _u9471), c_Set_Oimage(_u9468, _u9469, _u9470)), _u9473))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__extend__simps_I10_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__extend__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9474, tc_fun(_u9475, tc_HOL_Obool)), _u9476), hAPP(hAPP(c_COMBB(_u9477, tc_fun(_u9475, tc_HOL_Obool), _u9474), _u9478), _u9479)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9477, tc_fun(_u9475, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u9474, _u9477, _u9479), _u9476)), _u9478)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_image__image ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_image__image-1, axiom, ( ( hAPP(c_Set_Oimage(_u9480, _u9481, _u9482), hAPP(c_Set_Oimage(_u9483, _u9480, _u9484), _u9485)) = hAPP(c_Set_Oimage(_u9483, _u9481, hAPP(hAPP(c_COMBB(_u9480, _u9481, _u9483), _u9482), _u9484)), _u9485)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_image__ident ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_image__ident-1, axiom, ( ( hAPP(c_Set_Oimage(_u9486, _u9486, c_COMBI(_u9486)), _u9487) = _u9487) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INT__simps_I10_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INT__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9488, tc_fun(_u9489, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u9490, _u9488, _u9491), _u9492)), _u9493) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9490, tc_fun(_u9489, tc_HOL_Obool)), _u9492), hAPP(hAPP(c_COMBB(_u9488, tc_fun(_u9489, tc_HOL_Obool), _u9490), _u9493), _u9491))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INT__extend__simps_I10_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INT__extend__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9494, tc_fun(_u9495, tc_HOL_Obool)), _u9496), hAPP(hAPP(c_COMBB(_u9497, tc_fun(_u9495, tc_HOL_Obool), _u9494), _u9498), _u9499)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9497, tc_fun(_u9495, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u9494, _u9497, _u9499), _u9496)), _u9498)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_int__setsum ( axiom ) converted to clauses:
% 12.53/12.72 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(_u9500, tc_Nat_Onat), _u9501), _u9502)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9500, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u9500), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9501)), _u9502)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INT__insert__distrib ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INT__insert__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9503), _u9504), _u9505)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9503, tc_fun(_u9506, tc_HOL_Obool)), _u9505), hAPP(hAPP(c_COMBB(tc_fun(_u9506, tc_HOL_Obool), tc_fun(_u9506, tc_HOL_Obool), _u9503), hAPP(c_Set_Oinsert(_u9506), _u9507)), _u9508)) = hAPP(hAPP(c_Set_Oinsert(_u9506), _u9507), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9503, tc_fun(_u9506, tc_HOL_Obool)), _u9505), _u9508))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_bot__empty__eq2 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_bot__empty__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u9513, tc_fun(_u9515, tc_HOL_Obool))), _u9517), _u9519)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u9513, _u9515)), hAPP(hAPP(c_Product__Type_OPair(_u9513, _u9515), _u9517), _u9519)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u9513, _u9515), tc_HOL_Obool)))) )).
% 12.53/12.72 cnf(fact_bot__empty__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9514, _u9516)), hAPP(hAPP(c_Product__Type_OPair(_u9514, _u9516), _u9518), _u9520)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u9514, _u9516), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u9514, tc_fun(_u9516, tc_HOL_Obool))), _u9518), _u9520)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_bot__empty__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_bot__empty__eq-1, axiom, ( ~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u9523, tc_HOL_Obool)), _u9525)) | hBOOL(hAPP(hAPP(c_member(_u9523), _u9525), c_Orderings_Obot__class_Obot(tc_fun(_u9523, tc_HOL_Obool)))) )).
% 12.53/12.72 cnf(fact_bot__empty__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9524), _u9526), c_Orderings_Obot__class_Obot(tc_fun(_u9524, tc_HOL_Obool)))) | hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u9524, tc_HOL_Obool)), _u9526)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__iff ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9534), _u9536), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9538, tc_fun(_u9534, tc_HOL_Obool)), _u9540), _u9542))) | hBOOL(hAPP(hAPP(c_member(_u9538), skolem251(_u9542, _u9540, _u9538, _u9536, _u9534)), _u9540)) )).
% 12.53/12.72 cnf(fact_UN__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9534), _u9536), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9538, tc_fun(_u9534, tc_HOL_Obool)), _u9540), _u9542))) | hBOOL(hAPP(hAPP(c_member(_u9534), _u9536), hAPP(_u9542, skolem251(_u9542, _u9540, _u9538, _u9536, _u9534)))) )).
% 12.53/12.72 cnf(fact_UN__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9539), _u9528), _u9541)) | ~hBOOL(hAPP(hAPP(c_member(_u9535), _u9537), hAPP(_u9543, _u9528))) | hBOOL(hAPP(hAPP(c_member(_u9535), _u9537), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9539, tc_fun(_u9535, tc_HOL_Obool)), _u9541), _u9543))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INT__iff ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INT__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9551), _u9553), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9555, tc_fun(_u9551, tc_HOL_Obool)), _u9557), _u9559))) | ~hBOOL(hAPP(hAPP(c_member(_u9555), _u9544), _u9557)) | hBOOL(hAPP(hAPP(c_member(_u9551), _u9553), hAPP(_u9559, _u9544))) )).
% 12.53/12.72 cnf(fact_INT__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9552), _u9554), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9556, tc_fun(_u9552, tc_HOL_Obool)), _u9558), _u9560))) | hBOOL(hAPP(hAPP(c_member(_u9556), skolem252(_u9560, _u9558, _u9556, _u9554, _u9552)), _u9558)) )).
% 12.53/12.72 cnf(fact_INT__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9552), _u9554), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9556, tc_fun(_u9552, tc_HOL_Obool)), _u9558), _u9560))) | ~hBOOL(hAPP(hAPP(c_member(_u9552), _u9554), hAPP(_u9560, skolem252(_u9560, _u9558, _u9556, _u9554, _u9552)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_pred__equals__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_pred__equals__eq-1, axiom, ( ( _u9566 = _u9568) | ( hAPP(hAPP(c_COMBC(_u9564, tc_fun(_u9564, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9564)), _u9566) != hAPP(hAPP(c_COMBC(_u9564, tc_fun(_u9564, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9564)), _u9568)) )).
% 12.53/12.72 cnf(fact_pred__equals__eq-2, axiom, ( ( _u9567 != _u9569) | ( hAPP(hAPP(c_COMBC(_u9565, tc_fun(_u9565, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9565)), _u9567) = hAPP(hAPP(c_COMBC(_u9565, tc_fun(_u9565, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9565)), _u9569)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_pred__equals__eq2 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_pred__equals__eq2-1, axiom, ( ( _u9578 = _u9580) | ( hAPP(hAPP(c_COMBC(_u9574, tc_fun(tc_prod(_u9574, _u9576), tc_HOL_Obool), tc_fun(_u9576, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9576, tc_fun(tc_fun(tc_prod(_u9574, _u9576), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9574, _u9576), tc_HOL_Obool), tc_fun(_u9576, tc_HOL_Obool)), _u9574), c_COMBC(_u9576, tc_fun(tc_prod(_u9574, _u9576), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9576, tc_prod(_u9574, _u9576)), tc_fun(_u9576, tc_fun(tc_fun(tc_prod(_u9574, _u9576), tc_HOL_Obool), tc_HOL_Obool)), _u9574), hAPP(c_COMBB(tc_prod(_u9574, _u9576), tc_fun(tc_fun(tc_prod(_u9574, _u9576), tc_HOL_Obool), tc_HOL_Obool), _u9576), c_member(tc_prod(_u9574, _u9576)))), c_Product__Type_OPair(_u9574, _u9576)))), _u9578) != hAPP(hAPP(c_COMBC(_u9574, tc_fun(tc_prod(_u9574, _u9576), tc_HOL_Obool), tc_fun(_u9576, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9576, tc_fun(tc_fun(tc_prod(_u9574, _u9576), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9574, _u9576), tc_HOL_Obool), tc_fun(_u9576, tc_HOL_Obool)), _u9574), c_COMBC(_u9576, tc_fun(tc_prod(_u9574, _u9576), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9576, tc_prod(_u9574, _u9576)), tc_fun(_u9576, tc_fun(tc_fun(tc_prod(_u9574, _u9576), tc_HOL_Obool), tc_HOL_Obool)), _u9574), hAPP(c_COMBB(tc_prod(_u9574, _u9576), tc_fun(tc_fun(tc_prod(_u9574, _u9576), tc_HOL_Obool), tc_HOL_Obool), _u9576), c_member(tc_prod(_u9574, _u9576)))), c_Product__Type_OPair(_u9574, _u9576)))), _u9580)) )).
% 12.53/12.72 cnf(fact_pred__equals__eq2-2, axiom, ( ( _u9579 != _u9581) | ( hAPP(hAPP(c_COMBC(_u9575, tc_fun(tc_prod(_u9575, _u9577), tc_HOL_Obool), tc_fun(_u9577, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9577, tc_fun(tc_fun(tc_prod(_u9575, _u9577), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9575, _u9577), tc_HOL_Obool), tc_fun(_u9577, tc_HOL_Obool)), _u9575), c_COMBC(_u9577, tc_fun(tc_prod(_u9575, _u9577), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9577, tc_prod(_u9575, _u9577)), tc_fun(_u9577, tc_fun(tc_fun(tc_prod(_u9575, _u9577), tc_HOL_Obool), tc_HOL_Obool)), _u9575), hAPP(c_COMBB(tc_prod(_u9575, _u9577), tc_fun(tc_fun(tc_prod(_u9575, _u9577), tc_HOL_Obool), tc_HOL_Obool), _u9577), c_member(tc_prod(_u9575, _u9577)))), c_Product__Type_OPair(_u9575, _u9577)))), _u9579) = hAPP(hAPP(c_COMBC(_u9575, tc_fun(tc_prod(_u9575, _u9577), tc_HOL_Obool), tc_fun(_u9577, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9577, tc_fun(tc_fun(tc_prod(_u9575, _u9577), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9575, _u9577), tc_HOL_Obool), tc_fun(_u9577, tc_HOL_Obool)), _u9575), c_COMBC(_u9577, tc_fun(tc_prod(_u9575, _u9577), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9577, tc_prod(_u9575, _u9577)), tc_fun(_u9577, tc_fun(tc_fun(tc_prod(_u9575, _u9577), tc_HOL_Obool), tc_HOL_Obool)), _u9575), hAPP(c_COMBB(tc_prod(_u9575, _u9577), tc_fun(tc_fun(tc_prod(_u9575, _u9577), tc_HOL_Obool), tc_HOL_Obool), _u9577), c_member(tc_prod(_u9575, _u9577)))), c_Product__Type_OPair(_u9575, _u9577)))), _u9581)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_CollectE ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_CollectE-1, axiom, ( hBOOL(hAPP(_u9584, _u9583)) | ~hBOOL(hAPP(hAPP(c_member(_u9582), _u9583), hAPP(c_Set_OCollect(_u9582), _u9584))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_CollectD ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_CollectD-1, axiom, ( hBOOL(hAPP(_u9587, _u9586)) | ~hBOOL(hAPP(hAPP(c_member(_u9585), _u9586), hAPP(c_Set_OCollect(_u9585), _u9587))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_mem__Collect__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_mem__Collect__eq-1, axiom, ( hBOOL(hAPP(_u9595, _u9593)) | ~hBOOL(hAPP(hAPP(c_member(_u9591), _u9593), hAPP(c_Set_OCollect(_u9591), _u9595))) )).
% 12.53/12.72 cnf(fact_mem__Collect__eq-2, axiom, ( ~hBOOL(hAPP(_u9596, _u9594)) | hBOOL(hAPP(hAPP(c_member(_u9592), _u9594), hAPP(c_Set_OCollect(_u9592), _u9596))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Collect__mem__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Collect__mem__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u9597), hAPP(hAPP(c_COMBC(_u9597, tc_fun(_u9597, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9597)), _u9598)) = _u9598) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_finite__Collect__disjI ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_finite__Collect__disjI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9602), hAPP(c_Set_OCollect(_u9602), hAPP(hAPP(c_COMBS(_u9602, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9602), c_fdisj), _u9604)), _u9606)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9602), hAPP(c_Set_OCollect(_u9602), _u9604))) )).
% 12.53/12.72 cnf(fact_finite__Collect__disjI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9602), hAPP(c_Set_OCollect(_u9602), hAPP(hAPP(c_COMBS(_u9602, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9602), c_fdisj), _u9604)), _u9606)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9602), hAPP(c_Set_OCollect(_u9602), _u9606))) )).
% 12.53/12.72 cnf(fact_finite__Collect__disjI-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9603), hAPP(c_Set_OCollect(_u9603), _u9605))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9603), hAPP(c_Set_OCollect(_u9603), _u9607))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9603), hAPP(c_Set_OCollect(_u9603), hAPP(hAPP(c_COMBS(_u9603, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9603), c_fdisj), _u9605)), _u9607)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INT__simps_I5_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INT__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9608, tc_fun(_u9609, tc_HOL_Obool)), _u9610), hAPP(hAPP(c_COMBB(tc_fun(_u9609, tc_HOL_Obool), tc_fun(_u9609, tc_HOL_Obool), _u9608), hAPP(c_Set_Oinsert(_u9609), _u9611)), _u9612)) = hAPP(hAPP(c_Set_Oinsert(_u9609), _u9611), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9608, tc_fun(_u9609, tc_HOL_Obool)), _u9610), _u9612))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INT__extend__simps_I5_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INT__extend__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u9613), _u9614), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9615, tc_fun(_u9613, tc_HOL_Obool)), _u9616), _u9617)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9615, tc_fun(_u9613, tc_HOL_Obool)), _u9616), hAPP(hAPP(c_COMBB(tc_fun(_u9613, tc_HOL_Obool), tc_fun(_u9613, tc_HOL_Obool), _u9615), hAPP(c_Set_Oinsert(_u9613), _u9614)), _u9617))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_insert__Collect ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_insert__Collect-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u9618), _u9619), hAPP(c_Set_OCollect(_u9618), _u9620)) = hAPP(c_Set_OCollect(_u9618), hAPP(hAPP(c_COMBS(_u9618, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9618), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9618), c_fNot), hAPP(hAPP(c_COMBC(_u9618, _u9618, tc_HOL_Obool), c_fequal), _u9619)))), _u9620))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_bot__fun__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_bot__fun__def-1, axiom, ( ~class_Orderings_Obot(_u9621) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u9622, _u9621)), _u9623) = c_Orderings_Obot__class_Obot(_u9621)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_empty__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_empty__def-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u9624, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u9624), hAPP(c_COMBK(tc_HOL_Obool, _u9624), c_fFalse))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INF__const ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INF__const-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9625) | ( _u9626 = c_Orderings_Obot__class_Obot(tc_fun(_u9627, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9627, _u9625), _u9626), hAPP(c_COMBK(_u9625, _u9627), _u9628)) = _u9628) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UNION__empty__conv_I1_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UNION__empty__conv_I1_J-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u9635, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9637, tc_fun(_u9635, tc_HOL_Obool)), _u9639), _u9641)) | ~hBOOL(hAPP(hAPP(c_member(_u9637), _u9629), _u9639)) | ( hAPP(_u9641, _u9629) = c_Orderings_Obot__class_Obot(tc_fun(_u9635, tc_HOL_Obool))) )).
% 12.53/12.72 cnf(fact_UNION__empty__conv_I1_J-2, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u9636, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9638, tc_fun(_u9636, tc_HOL_Obool)), _u9640), _u9642)) | hBOOL(hAPP(hAPP(c_member(_u9638), skolem253(_u9642, _u9640, _u9638, _u9636)), _u9640)) )).
% 12.53/12.72 cnf(fact_UNION__empty__conv_I1_J-3, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u9636, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9638, tc_fun(_u9636, tc_HOL_Obool)), _u9640), _u9642)) | ( hAPP(_u9642, skolem253(_u9642, _u9640, _u9638, _u9636)) != c_Orderings_Obot__class_Obot(tc_fun(_u9636, tc_HOL_Obool))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__empty2 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__empty2-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9643, tc_fun(_u9644, tc_HOL_Obool)), _u9645), hAPP(c_COMBK(tc_fun(_u9644, tc_HOL_Obool), _u9643), c_Orderings_Obot__class_Obot(tc_fun(_u9644, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9644, tc_HOL_Obool))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__constant ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__constant-1, axiom, ( ( _u9650 != c_Orderings_Obot__class_Obot(tc_fun(_u9652, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9652, tc_fun(_u9654, tc_HOL_Obool)), _u9650), hAPP(c_COMBK(tc_fun(_u9654, tc_HOL_Obool), _u9652), _u9656)) = c_Orderings_Obot__class_Obot(tc_fun(_u9654, tc_HOL_Obool))) )).
% 12.53/12.72 cnf(fact_UN__constant-2, axiom, ( ( _u9651 = c_Orderings_Obot__class_Obot(tc_fun(_u9653, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9653, tc_fun(_u9655, tc_HOL_Obool)), _u9651), hAPP(c_COMBK(tc_fun(_u9655, tc_HOL_Obool), _u9653), _u9657)) = _u9657) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UNION__empty__conv_I2_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UNION__empty__conv_I2_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9664, tc_fun(_u9666, tc_HOL_Obool)), _u9668), _u9670) != c_Orderings_Obot__class_Obot(tc_fun(_u9666, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9664), _u9658), _u9668)) | ( hAPP(_u9670, _u9658) = c_Orderings_Obot__class_Obot(tc_fun(_u9666, tc_HOL_Obool))) )).
% 12.53/12.72 cnf(fact_UNION__empty__conv_I2_J-2, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9665, tc_fun(_u9667, tc_HOL_Obool)), _u9669), _u9671) = c_Orderings_Obot__class_Obot(tc_fun(_u9667, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u9665), skolem254(_u9671, _u9669, _u9667, _u9665)), _u9669)) )).
% 12.53/12.72 cnf(fact_UNION__empty__conv_I2_J-3, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9665, tc_fun(_u9667, tc_HOL_Obool)), _u9669), _u9671) = c_Orderings_Obot__class_Obot(tc_fun(_u9667, tc_HOL_Obool))) | ( hAPP(_u9671, skolem254(_u9671, _u9669, _u9667, _u9665)) != c_Orderings_Obot__class_Obot(tc_fun(_u9667, tc_HOL_Obool))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_SUP__const ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_SUP__const-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9672) | ( _u9673 = c_Orderings_Obot__class_Obot(tc_fun(_u9674, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9674, _u9672), _u9673), hAPP(c_COMBK(_u9672, _u9674), _u9675)) = _u9675) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setsum__negf ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setsum__negf-1, axiom, ( ~class_Groups_Oab__group__add(_u9676) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9677, _u9676), hAPP(hAPP(c_COMBB(_u9676, _u9676, _u9677), c_Groups_Ouminus__class_Ouminus(_u9676)), _u9678)), _u9679) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9676), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9677, _u9676), _u9678), _u9679))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setprod__timesf ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setprod__timesf-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9680) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9681, _u9680), hAPP(hAPP(c_COMBS(_u9681, _u9680, _u9680), hAPP(hAPP(c_COMBB(_u9680, tc_fun(_u9680, _u9680), _u9681), c_Groups_Otimes__class_Otimes(_u9680)), _u9682)), _u9683)), _u9684) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9680), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9681, _u9680), _u9682), _u9684)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9681, _u9680), _u9683), _u9684))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setsum__product ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setsum__product-1, axiom, ( ~class_Rings_Osemiring__0(_u9685) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9685), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9686, _u9685), _u9687), _u9688)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9689, _u9685), _u9690), _u9691)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9686, _u9685), hAPP(hAPP(c_COMBC(_u9686, tc_fun(_u9689, tc_HOL_Obool), _u9685), hAPP(hAPP(c_COMBB(tc_fun(_u9689, _u9685), tc_fun(tc_fun(_u9689, tc_HOL_Obool), _u9685), _u9686), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9689, _u9685)), hAPP(hAPP(c_COMBC(_u9686, tc_fun(_u9689, _u9685), tc_fun(_u9689, _u9685)), hAPP(hAPP(c_COMBB(tc_fun(_u9685, _u9685), tc_fun(tc_fun(_u9689, _u9685), tc_fun(_u9689, _u9685)), _u9686), c_COMBB(_u9685, _u9685, _u9689)), hAPP(hAPP(c_COMBB(_u9685, tc_fun(_u9685, _u9685), _u9686), c_Groups_Otimes__class_Otimes(_u9685)), _u9687))), _u9690))), _u9691)), _u9688)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setsum__left__distrib ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setsum__left__distrib-1, axiom, ( ~class_Rings_Osemiring__0(_u9692) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9692), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9693, _u9692), _u9694), _u9695)), _u9696) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9693, _u9692), hAPP(hAPP(c_COMBC(_u9693, _u9692, _u9692), hAPP(hAPP(c_COMBB(_u9692, tc_fun(_u9692, _u9692), _u9693), c_Groups_Otimes__class_Otimes(_u9692)), _u9694)), _u9696)), _u9695)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setsum__right__distrib ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setsum__right__distrib-1, axiom, ( ~class_Rings_Osemiring__0(_u9697) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9697), _u9698), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9699, _u9697), _u9700), _u9701)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9699, _u9697), hAPP(hAPP(c_COMBB(_u9697, _u9697, _u9699), hAPP(c_Groups_Otimes__class_Otimes(_u9697), _u9698)), _u9700)), _u9701)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Collect__neg__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Collect__neg__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u9702), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9702), c_fNot), _u9703)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9702, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u9702), _u9703))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_fun__Compl__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_fun__Compl__def-1, axiom, ( ~class_Groups_Ouminus(_u9704) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9705, _u9704)), _u9706), _u9707) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9704), hAPP(_u9706, _u9707))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Compl__UN ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Compl__UN-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9708, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9709, tc_fun(_u9708, tc_HOL_Obool)), _u9710), _u9711)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9709, tc_fun(_u9708, tc_HOL_Obool)), _u9710), hAPP(hAPP(c_COMBB(tc_fun(_u9708, tc_HOL_Obool), tc_fun(_u9708, tc_HOL_Obool), _u9709), c_Groups_Ouminus__class_Ouminus(tc_fun(_u9708, tc_HOL_Obool))), _u9711))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Compl__INT ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Compl__INT-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9712, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9713, tc_fun(_u9712, tc_HOL_Obool)), _u9714), _u9715)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9713, tc_fun(_u9712, tc_HOL_Obool)), _u9714), hAPP(hAPP(c_COMBB(tc_fun(_u9712, tc_HOL_Obool), tc_fun(_u9712, tc_HOL_Obool), _u9713), c_Groups_Ouminus__class_Ouminus(tc_fun(_u9712, tc_HOL_Obool))), _u9715))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_SUPR__apply ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_SUPR__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9716) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9717, tc_fun(_u9718, _u9716)), _u9719), _u9720), _u9721) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9717, _u9716), _u9719), hAPP(hAPP(c_COMBC(_u9717, _u9718, _u9716), _u9720), _u9721))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setsum__divide__distrib ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setsum__divide__distrib-1, axiom, ( ~class_Fields_Ofield(_u9722) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9722), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9723, _u9722), _u9724), _u9725)), _u9726) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9723, _u9722), hAPP(hAPP(c_COMBC(_u9723, _u9722, _u9722), hAPP(hAPP(c_COMBB(_u9722, tc_fun(_u9722, _u9722), _u9723), c_Rings_Oinverse__class_Odivide(_u9722)), _u9724)), _u9726)), _u9725)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_fun__left__comm__idem_Ofun__left__comm__idem__apply ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u9727, _u9728, _u9729) | c_Finite__Set_Ofun__left__comm__idem(_u9730, _u9728, hAPP(hAPP(c_COMBB(_u9727, tc_fun(_u9728, _u9728), _u9730), _u9729), _u9731)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Pow__INT__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Pow__INT__eq-1, axiom, ( ( hAPP(c_Set_OPow(_u9732), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9733, tc_fun(_u9732, tc_HOL_Obool)), _u9734), _u9735)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9733, tc_fun(tc_fun(_u9732, tc_HOL_Obool), tc_HOL_Obool)), _u9734), hAPP(hAPP(c_COMBB(tc_fun(_u9732, tc_HOL_Obool), tc_fun(tc_fun(_u9732, tc_HOL_Obool), tc_HOL_Obool), _u9733), c_Set_OPow(_u9732)), _u9735))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Inter__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Inter__def-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u9736, tc_HOL_Obool), _u9737) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u9736, tc_HOL_Obool), tc_fun(_u9736, tc_HOL_Obool)), _u9737), c_COMBI(tc_fun(_u9736, tc_HOL_Obool)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INF__commute ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INF__commute-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9738) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9739, _u9738), _u9740), hAPP(hAPP(c_COMBB(tc_fun(_u9741, _u9738), _u9738, _u9739), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9741, _u9738), _u9742)), _u9743)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9741, _u9738), _u9742), hAPP(hAPP(c_COMBB(tc_fun(_u9739, _u9738), _u9738, _u9741), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9739, _u9738), _u9740)), hAPP(c_COMBC(_u9739, _u9741, _u9738), _u9743)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INFI__apply ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INFI__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9744) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9745, tc_fun(_u9746, _u9744)), _u9747), _u9748), _u9749) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9745, _u9744), _u9747), hAPP(hAPP(c_COMBC(_u9745, _u9746, _u9744), _u9748), _u9749))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INT__simps_I8_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INT__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9750, tc_fun(_u9751, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9750, tc_HOL_Obool), _u9752)), _u9753) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u9750, tc_HOL_Obool), tc_fun(_u9751, tc_HOL_Obool)), _u9752), hAPP(hAPP(c_COMBC(tc_fun(_u9750, tc_HOL_Obool), tc_fun(_u9750, tc_fun(_u9751, tc_HOL_Obool)), tc_fun(_u9751, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9750, tc_fun(_u9751, tc_HOL_Obool))), _u9753))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INT__extend__simps_I8_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INT__extend__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u9754, tc_HOL_Obool), tc_fun(_u9755, tc_HOL_Obool)), _u9756), hAPP(hAPP(c_COMBC(tc_fun(_u9754, tc_HOL_Obool), tc_fun(_u9754, tc_fun(_u9755, tc_HOL_Obool)), tc_fun(_u9755, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9754, tc_fun(_u9755, tc_HOL_Obool))), _u9757)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9754, tc_fun(_u9755, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9754, tc_HOL_Obool), _u9756)), _u9757)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_pair__box_Oinject ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_pair__box_Oinject-1, axiom, ( ( c_Nitpick_Opair__box_OPairBox(_u9764, _u9766, _u9768, _u9770) != c_Nitpick_Opair__box_OPairBox(_u9764, _u9766, _u9772, _u9774)) | ( _u9768 = _u9772) )).
% 12.53/12.72 cnf(fact_pair__box_Oinject-2, axiom, ( ( c_Nitpick_Opair__box_OPairBox(_u9764, _u9766, _u9768, _u9770) != c_Nitpick_Opair__box_OPairBox(_u9764, _u9766, _u9772, _u9774)) | ( _u9770 = _u9774) )).
% 12.53/12.72 cnf(fact_pair__box_Oinject-3, axiom, ( ( _u9769 != _u9773) | ( _u9771 != _u9775) | ( c_Nitpick_Opair__box_OPairBox(_u9765, _u9767, _u9769, _u9771) = c_Nitpick_Opair__box_OPairBox(_u9765, _u9767, _u9773, _u9775)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_fun__left__comm_Ofun__left__comm__apply ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_fun__left__comm_Ofun__left__comm__apply-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u9776, _u9777, _u9778) | c_Finite__Set_Ofun__left__comm(_u9779, _u9777, hAPP(hAPP(c_COMBB(_u9776, tc_fun(_u9777, _u9777), _u9779), _u9778), _u9780)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Union__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Union__def-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9781, tc_HOL_Obool), _u9782) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9781, tc_HOL_Obool), tc_fun(_u9781, tc_HOL_Obool)), _u9782), c_COMBI(tc_fun(_u9781, tc_HOL_Obool)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_SUP1__iff ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_SUP1__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9790, tc_fun(_u9792, tc_HOL_Obool)), _u9794), _u9796), _u9798)) | hBOOL(hAPP(hAPP(c_member(_u9790), skolem255(_u9798, _u9796, _u9794, _u9792, _u9790)), _u9794)) )).
% 12.53/12.72 cnf(fact_SUP1__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9790, tc_fun(_u9792, tc_HOL_Obool)), _u9794), _u9796), _u9798)) | hBOOL(hAPP(hAPP(_u9796, skolem255(_u9798, _u9796, _u9794, _u9792, _u9790)), _u9798)) )).
% 12.53/12.72 cnf(fact_SUP1__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9791), _u9784), _u9795)) | ~hBOOL(hAPP(hAPP(_u9797, _u9784), _u9799)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9791, tc_fun(_u9793, tc_HOL_Obool)), _u9795), _u9797), _u9799)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__UN__flatten ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__UN__flatten-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9800, tc_fun(_u9801, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9802, tc_fun(_u9800, tc_HOL_Obool)), _u9803), _u9804)), _u9805) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9802, tc_fun(_u9801, tc_HOL_Obool)), _u9803), hAPP(hAPP(c_COMBC(_u9802, tc_fun(_u9800, tc_fun(_u9801, tc_HOL_Obool)), tc_fun(_u9801, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9800, tc_HOL_Obool), tc_fun(tc_fun(_u9800, tc_fun(_u9801, tc_HOL_Obool)), tc_fun(_u9801, tc_HOL_Obool)), _u9802), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9800, tc_fun(_u9801, tc_HOL_Obool))), _u9804)), _u9805))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__simps_I9_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9806, tc_fun(_u9807, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9808, tc_fun(_u9806, tc_HOL_Obool)), _u9809), _u9810)), _u9811) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9808, tc_fun(_u9807, tc_HOL_Obool)), _u9809), hAPP(hAPP(c_COMBC(_u9808, tc_fun(_u9806, tc_fun(_u9807, tc_HOL_Obool)), tc_fun(_u9807, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9806, tc_HOL_Obool), tc_fun(tc_fun(_u9806, tc_fun(_u9807, tc_HOL_Obool)), tc_fun(_u9807, tc_HOL_Obool)), _u9808), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9806, tc_fun(_u9807, tc_HOL_Obool))), _u9810)), _u9811))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INT__simps_I9_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INT__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9812, tc_fun(_u9813, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9814, tc_fun(_u9812, tc_HOL_Obool)), _u9815), _u9816)), _u9817) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9814, tc_fun(_u9813, tc_HOL_Obool)), _u9815), hAPP(hAPP(c_COMBC(_u9814, tc_fun(_u9812, tc_fun(_u9813, tc_HOL_Obool)), tc_fun(_u9813, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9812, tc_HOL_Obool), tc_fun(tc_fun(_u9812, tc_fun(_u9813, tc_HOL_Obool)), tc_fun(_u9813, tc_HOL_Obool)), _u9814), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9812, tc_fun(_u9813, tc_HOL_Obool))), _u9816)), _u9817))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__extend__simps_I9_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__extend__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9818, tc_fun(_u9819, tc_HOL_Obool)), _u9820), hAPP(hAPP(c_COMBC(_u9818, tc_fun(_u9821, tc_fun(_u9819, tc_HOL_Obool)), tc_fun(_u9819, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9821, tc_HOL_Obool), tc_fun(tc_fun(_u9821, tc_fun(_u9819, tc_HOL_Obool)), tc_fun(_u9819, tc_HOL_Obool)), _u9818), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9821, tc_fun(_u9819, tc_HOL_Obool))), _u9822)), _u9823)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9821, tc_fun(_u9819, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9818, tc_fun(_u9821, tc_HOL_Obool)), _u9820), _u9822)), _u9823)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INT__extend__simps_I9_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INT__extend__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9824, tc_fun(_u9825, tc_HOL_Obool)), _u9826), hAPP(hAPP(c_COMBC(_u9824, tc_fun(_u9827, tc_fun(_u9825, tc_HOL_Obool)), tc_fun(_u9825, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9827, tc_HOL_Obool), tc_fun(tc_fun(_u9827, tc_fun(_u9825, tc_HOL_Obool)), tc_fun(_u9825, tc_HOL_Obool)), _u9824), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9827, tc_fun(_u9825, tc_HOL_Obool))), _u9828)), _u9829)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9827, tc_fun(_u9825, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9824, tc_fun(_u9827, tc_HOL_Obool)), _u9826), _u9828)), _u9829)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_SUP__commute ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_SUP__commute-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9830) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9831, _u9830), _u9832), hAPP(hAPP(c_COMBB(tc_fun(_u9833, _u9830), _u9830, _u9831), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9833, _u9830), _u9834)), _u9835)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9833, _u9830), _u9834), hAPP(hAPP(c_COMBB(tc_fun(_u9831, _u9830), _u9830, _u9833), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9831, _u9830), _u9832)), hAPP(c_COMBC(_u9831, _u9833, _u9830), _u9835)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_fun__upd__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_fun__upd__def-1, axiom, ( ( _u9842 != _u9844) | ( hAPP(c_Fun_Ofun__upd(_u9846, _u9848, _u9850, _u9844, _u9852), _u9842) = _u9852) )).
% 12.53/12.72 cnf(fact_fun__upd__def-2, axiom, ( ( _u9843 = _u9845) | ( hAPP(c_Fun_Ofun__upd(_u9847, _u9849, _u9851, _u9845, _u9853), _u9843) = hAPP(_u9851, _u9843)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setsum__commute ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setsum__commute-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9854) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9855, _u9854), hAPP(hAPP(c_COMBC(_u9855, tc_fun(_u9856, tc_HOL_Obool), _u9854), hAPP(hAPP(c_COMBB(tc_fun(_u9856, _u9854), tc_fun(tc_fun(_u9856, tc_HOL_Obool), _u9854), _u9855), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9856, _u9854)), _u9857)), _u9858)), _u9859) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9856, _u9854), hAPP(hAPP(c_COMBC(_u9856, tc_fun(_u9855, tc_HOL_Obool), _u9854), hAPP(hAPP(c_COMBB(tc_fun(_u9855, _u9854), tc_fun(tc_fun(_u9855, tc_HOL_Obool), _u9854), _u9856), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9855, _u9854)), hAPP(c_COMBC(_u9855, _u9856, _u9854), _u9857))), _u9859)), _u9858)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_fold__image__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_fold__image__def-1, axiom, ( ( hAPP(c_Finite__Set_Ofold__image(_u9860, _u9861, _u9862), _u9863) = c_Finite__Set_Ofold(_u9861, _u9860, hAPP(hAPP(c_COMBB(_u9860, tc_fun(_u9860, _u9860), _u9861), _u9862), _u9863))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__extend__simps_I8_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__extend__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9864, tc_HOL_Obool), tc_fun(_u9865, tc_HOL_Obool)), _u9866), hAPP(hAPP(c_COMBC(tc_fun(_u9864, tc_HOL_Obool), tc_fun(_u9864, tc_fun(_u9865, tc_HOL_Obool)), tc_fun(_u9865, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9864, tc_fun(_u9865, tc_HOL_Obool))), _u9867)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9864, tc_fun(_u9865, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9864, tc_HOL_Obool), _u9866)), _u9867)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__simps_I8_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9868, tc_fun(_u9869, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9868, tc_HOL_Obool), _u9870)), _u9871) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9868, tc_HOL_Obool), tc_fun(_u9869, tc_HOL_Obool)), _u9870), hAPP(hAPP(c_COMBC(tc_fun(_u9868, tc_HOL_Obool), tc_fun(_u9868, tc_fun(_u9869, tc_HOL_Obool)), tc_fun(_u9869, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9868, tc_fun(_u9869, tc_HOL_Obool))), _u9871))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_int__setprod ( axiom ) converted to clauses:
% 12.53/12.72 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(_u9872, tc_Nat_Onat), _u9873), _u9874)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9872, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u9872), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9873)), _u9874)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_of__int__setsum ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_of__int__setsum-1, axiom, ( ~class_Rings_Oring__1(_u9875) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9875), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9876, tc_Int_Oint), _u9877), _u9878)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9876, _u9875), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u9875, _u9876), c_Int_Oring__1__class_Oof__int(_u9875)), _u9877)), _u9878)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_of__int__setprod ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_of__int__setprod-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9879) | ~class_Rings_Oring__1(_u9879) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9879), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9880, tc_Int_Oint), _u9881), _u9882)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9880, _u9879), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u9879, _u9880), c_Int_Oring__1__class_Oof__int(_u9879)), _u9881)), _u9882)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setprod__dividef ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setprod__dividef-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9883) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9884), _u9885)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9884, _u9883), hAPP(hAPP(c_COMBS(_u9884, _u9883, _u9883), hAPP(hAPP(c_COMBB(_u9883, tc_fun(_u9883, _u9883), _u9884), c_Rings_Oinverse__class_Odivide(_u9883)), _u9886)), _u9887)), _u9885) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9883), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9884, _u9883), _u9886), _u9885)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9884, _u9883), _u9887), _u9885))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Compl__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Compl__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9888, tc_HOL_Obool)), _u9889) = hAPP(c_Set_OCollect(_u9888), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9888), c_fNot), hAPP(hAPP(c_COMBC(_u9888, tc_fun(_u9888, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9888)), _u9889)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setprod_Odistrib ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setprod_Odistrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9890) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9891), _u9892)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9891, _u9890), hAPP(hAPP(c_COMBS(_u9891, _u9890, _u9890), hAPP(hAPP(c_COMBB(_u9890, tc_fun(_u9890, _u9890), _u9891), c_Groups_Otimes__class_Otimes(_u9890)), _u9893)), _u9894)), _u9892) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9890), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9891, _u9890), _u9893), _u9892)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9891, _u9890), _u9894), _u9892))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__extend__simps_I1_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__extend__simps_I1_J-1, axiom, ( ( _u9900 != c_Orderings_Obot__class_Obot(tc_fun(_u9902, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u9904), _u9906), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9902, tc_fun(_u9904, tc_HOL_Obool)), _u9900), _u9908)) = hAPP(hAPP(c_Set_Oinsert(_u9904), _u9906), c_Orderings_Obot__class_Obot(tc_fun(_u9904, tc_HOL_Obool)))) )).
% 12.53/12.72 cnf(fact_UN__extend__simps_I1_J-2, axiom, ( ( _u9901 = c_Orderings_Obot__class_Obot(tc_fun(_u9903, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u9905), _u9907), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9903, tc_fun(_u9905, tc_HOL_Obool)), _u9901), _u9909)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9903, tc_fun(_u9905, tc_HOL_Obool)), _u9901), hAPP(hAPP(c_COMBB(tc_fun(_u9905, tc_HOL_Obool), tc_fun(_u9905, tc_HOL_Obool), _u9903), hAPP(c_Set_Oinsert(_u9905), _u9907)), _u9909))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__singleton ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__singleton-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9910, tc_fun(_u9910, tc_HOL_Obool)), _u9911), hAPP(hAPP(c_COMBC(_u9910, tc_fun(_u9910, tc_HOL_Obool), tc_fun(_u9910, tc_HOL_Obool)), c_Set_Oinsert(_u9910)), c_Orderings_Obot__class_Obot(tc_fun(_u9910, tc_HOL_Obool)))) = _u9911) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__simps_I1_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__simps_I1_J-1, axiom, ( ( _u9917 != c_Orderings_Obot__class_Obot(tc_fun(_u9919, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9919, tc_fun(_u9921, tc_HOL_Obool)), _u9917), hAPP(hAPP(c_COMBB(tc_fun(_u9921, tc_HOL_Obool), tc_fun(_u9921, tc_HOL_Obool), _u9919), hAPP(c_Set_Oinsert(_u9921), _u9923)), _u9925)) = c_Orderings_Obot__class_Obot(tc_fun(_u9921, tc_HOL_Obool))) )).
% 12.53/12.72 cnf(fact_UN__simps_I1_J-2, axiom, ( ( _u9918 = c_Orderings_Obot__class_Obot(tc_fun(_u9920, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9920, tc_fun(_u9922, tc_HOL_Obool)), _u9918), hAPP(hAPP(c_COMBB(tc_fun(_u9922, tc_HOL_Obool), tc_fun(_u9922, tc_HOL_Obool), _u9920), hAPP(c_Set_Oinsert(_u9922), _u9924)), _u9926)) = hAPP(hAPP(c_Set_Oinsert(_u9922), _u9924), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9920, tc_fun(_u9922, tc_HOL_Obool)), _u9918), _u9926))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__atMost__UNIV ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__atMost__UNIV-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OatMost(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INT__constant ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INT__constant-1, axiom, ( ( _u9931 != c_Orderings_Obot__class_Obot(tc_fun(_u9933, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9933, tc_fun(_u9935, tc_HOL_Obool)), _u9931), hAPP(c_COMBK(tc_fun(_u9935, tc_HOL_Obool), _u9933), _u9937)) = c_Orderings_Otop__class_Otop(tc_fun(_u9935, tc_HOL_Obool))) )).
% 12.53/12.72 cnf(fact_INT__constant-2, axiom, ( ( _u9932 = c_Orderings_Obot__class_Obot(tc_fun(_u9934, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9934, tc_fun(_u9936, tc_HOL_Obool)), _u9932), hAPP(c_COMBK(tc_fun(_u9936, tc_HOL_Obool), _u9934), _u9938)) = _u9938) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INT__empty ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INT__empty-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9939, tc_fun(_u9940, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u9939, tc_HOL_Obool))), _u9941) = c_Orderings_Otop__class_Otop(tc_fun(_u9940, tc_HOL_Obool))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INTER__UNIV__conv_I1_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INTER__UNIV__conv_I1_J-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u9948, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9950, tc_fun(_u9948, tc_HOL_Obool)), _u9952), _u9954)) | ~hBOOL(hAPP(hAPP(c_member(_u9950), _u9942), _u9952)) | ( hAPP(_u9954, _u9942) = c_Orderings_Otop__class_Otop(tc_fun(_u9948, tc_HOL_Obool))) )).
% 12.53/12.72 cnf(fact_INTER__UNIV__conv_I1_J-2, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u9949, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9951, tc_fun(_u9949, tc_HOL_Obool)), _u9953), _u9955)) | hBOOL(hAPP(hAPP(c_member(_u9951), skolem256(_u9955, _u9953, _u9951, _u9949)), _u9953)) )).
% 12.53/12.72 cnf(fact_INTER__UNIV__conv_I1_J-3, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u9949, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9951, tc_fun(_u9949, tc_HOL_Obool)), _u9953), _u9955)) | ( hAPP(_u9955, skolem256(_u9955, _u9953, _u9951, _u9949)) != c_Orderings_Otop__class_Otop(tc_fun(_u9949, tc_HOL_Obool))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INTER__UNIV__conv_I2_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INTER__UNIV__conv_I2_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9962, tc_fun(_u9964, tc_HOL_Obool)), _u9966), _u9968) != c_Orderings_Otop__class_Otop(tc_fun(_u9964, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9962), _u9956), _u9966)) | ( hAPP(_u9968, _u9956) = c_Orderings_Otop__class_Otop(tc_fun(_u9964, tc_HOL_Obool))) )).
% 12.53/12.72 cnf(fact_INTER__UNIV__conv_I2_J-2, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9963, tc_fun(_u9965, tc_HOL_Obool)), _u9967), _u9969) = c_Orderings_Otop__class_Otop(tc_fun(_u9965, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u9963), skolem257(_u9969, _u9967, _u9965, _u9963)), _u9967)) )).
% 12.53/12.72 cnf(fact_INTER__UNIV__conv_I2_J-3, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9963, tc_fun(_u9965, tc_HOL_Obool)), _u9967), _u9969) = c_Orderings_Otop__class_Otop(tc_fun(_u9965, tc_HOL_Obool))) | ( hAPP(_u9969, skolem257(_u9969, _u9967, _u9965, _u9963)) != c_Orderings_Otop__class_Otop(tc_fun(_u9965, tc_HOL_Obool))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UNIV__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UNIV__def-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u9970, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u9970), hAPP(c_COMBK(tc_HOL_Obool, _u9970), c_fTrue))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setprod__1 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setprod__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9971) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9972, _u9971), hAPP(c_COMBK(_u9971, _u9972), c_Groups_Oone__class_Oone(_u9971))), _u9973) = c_Groups_Oone__class_Oone(_u9971)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setsum__0 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setsum__0-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9974) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9975, _u9974), hAPP(c_COMBK(_u9974, _u9975), c_Groups_Ozero__class_Ozero(_u9974))), _u9976) = c_Groups_Ozero__class_Ozero(_u9974)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__lessThan__UNIV ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__lessThan__UNIV-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INF__INT__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INF__INT__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_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)) | hBOOL(hAPP(hAPP(c_member(_u9983), _u9987), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9981, tc_fun(_u9983, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9981, tc_HOL_Obool))), _u9985))) )).
% 12.53/12.72 cnf(fact_INF__INT__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9984), _u9988), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9982, tc_fun(_u9984, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9982, tc_HOL_Obool))), _u9986))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9982, tc_fun(_u9984, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9982, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9984, tc_HOL_Obool), tc_fun(_u9984, tc_HOL_Obool), _u9982), hAPP(c_COMBC(_u9984, tc_fun(_u9984, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9984))), _u9986)), _u9988)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INF__INT__eq2 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INF__INT__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9995, tc_fun(_u9997, tc_fun(_u9999, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u9995, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u9997, _u9999), tc_HOL_Obool), tc_fun(_u9997, tc_fun(_u9999, tc_HOL_Obool)), _u9995), hAPP(c_COMBC(_u9997, tc_fun(tc_prod(_u9997, _u9999), tc_HOL_Obool), tc_fun(_u9999, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9999, tc_fun(tc_fun(tc_prod(_u9997, _u9999), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9997, _u9999), tc_HOL_Obool), tc_fun(_u9999, tc_HOL_Obool)), _u9997), c_COMBC(_u9999, tc_fun(tc_prod(_u9997, _u9999), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9999, tc_prod(_u9997, _u9999)), tc_fun(_u9999, tc_fun(tc_fun(tc_prod(_u9997, _u9999), tc_HOL_Obool), tc_HOL_Obool)), _u9997), hAPP(c_COMBB(tc_prod(_u9997, _u9999), tc_fun(tc_fun(tc_prod(_u9997, _u9999), tc_HOL_Obool), tc_HOL_Obool), _u9999), c_member(tc_prod(_u9997, _u9999)))), c_Product__Type_OPair(_u9997, _u9999))))), _u10001)), _u10003), _u10005)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u9997, _u9999)), hAPP(hAPP(c_Product__Type_OPair(_u9997, _u9999), _u10003), _u10005)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9995, tc_fun(tc_prod(_u9997, _u9999), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9995, tc_HOL_Obool))), _u10001))) )).
% 12.53/12.72 cnf(fact_INF__INT__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9998, _u10000)), hAPP(hAPP(c_Product__Type_OPair(_u9998, _u10000), _u10004), _u10006)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9996, tc_fun(tc_prod(_u9998, _u10000), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9996, tc_HOL_Obool))), _u10002))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9996, tc_fun(_u9998, tc_fun(_u10000, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u9996, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u9998, _u10000), tc_HOL_Obool), tc_fun(_u9998, tc_fun(_u10000, tc_HOL_Obool)), _u9996), hAPP(c_COMBC(_u9998, tc_fun(tc_prod(_u9998, _u10000), tc_HOL_Obool), tc_fun(_u10000, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10000, tc_fun(tc_fun(tc_prod(_u9998, _u10000), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9998, _u10000), tc_HOL_Obool), tc_fun(_u10000, tc_HOL_Obool)), _u9998), c_COMBC(_u10000, tc_fun(tc_prod(_u9998, _u10000), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10000, tc_prod(_u9998, _u10000)), tc_fun(_u10000, tc_fun(tc_fun(tc_prod(_u9998, _u10000), tc_HOL_Obool), tc_HOL_Obool)), _u9998), hAPP(c_COMBB(tc_prod(_u9998, _u10000), tc_fun(tc_fun(tc_prod(_u9998, _u10000), tc_HOL_Obool), tc_HOL_Obool), _u10000), c_member(tc_prod(_u9998, _u10000)))), c_Product__Type_OPair(_u9998, _u10000))))), _u10002)), _u10004), _u10006)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_SUP__UN__eq2 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_SUP__UN__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10013, tc_fun(_u10015, tc_fun(_u10017, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u10013, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u10015, _u10017), tc_HOL_Obool), tc_fun(_u10015, tc_fun(_u10017, tc_HOL_Obool)), _u10013), hAPP(c_COMBC(_u10015, tc_fun(tc_prod(_u10015, _u10017), tc_HOL_Obool), tc_fun(_u10017, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10017, tc_fun(tc_fun(tc_prod(_u10015, _u10017), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10015, _u10017), tc_HOL_Obool), tc_fun(_u10017, tc_HOL_Obool)), _u10015), c_COMBC(_u10017, tc_fun(tc_prod(_u10015, _u10017), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10017, tc_prod(_u10015, _u10017)), tc_fun(_u10017, tc_fun(tc_fun(tc_prod(_u10015, _u10017), tc_HOL_Obool), tc_HOL_Obool)), _u10015), hAPP(c_COMBB(tc_prod(_u10015, _u10017), tc_fun(tc_fun(tc_prod(_u10015, _u10017), tc_HOL_Obool), tc_HOL_Obool), _u10017), c_member(tc_prod(_u10015, _u10017)))), c_Product__Type_OPair(_u10015, _u10017))))), _u10019)), _u10021), _u10023)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10015, _u10017)), hAPP(hAPP(c_Product__Type_OPair(_u10015, _u10017), _u10021), _u10023)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10013, tc_fun(tc_prod(_u10015, _u10017), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u10013, tc_HOL_Obool))), _u10019))) )).
% 12.53/12.72 cnf(fact_SUP__UN__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10016, _u10018)), hAPP(hAPP(c_Product__Type_OPair(_u10016, _u10018), _u10022), _u10024)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10014, tc_fun(tc_prod(_u10016, _u10018), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u10014, tc_HOL_Obool))), _u10020))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10014, tc_fun(_u10016, tc_fun(_u10018, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u10014, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u10016, _u10018), tc_HOL_Obool), tc_fun(_u10016, tc_fun(_u10018, tc_HOL_Obool)), _u10014), hAPP(c_COMBC(_u10016, tc_fun(tc_prod(_u10016, _u10018), tc_HOL_Obool), tc_fun(_u10018, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10018, tc_fun(tc_fun(tc_prod(_u10016, _u10018), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10016, _u10018), tc_HOL_Obool), tc_fun(_u10018, tc_HOL_Obool)), _u10016), c_COMBC(_u10018, tc_fun(tc_prod(_u10016, _u10018), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10018, tc_prod(_u10016, _u10018)), tc_fun(_u10018, tc_fun(tc_fun(tc_prod(_u10016, _u10018), tc_HOL_Obool), tc_HOL_Obool)), _u10016), hAPP(c_COMBB(tc_prod(_u10016, _u10018), tc_fun(tc_fun(tc_prod(_u10016, _u10018), tc_HOL_Obool), tc_HOL_Obool), _u10018), c_member(tc_prod(_u10016, _u10018)))), c_Product__Type_OPair(_u10016, _u10018))))), _u10020)), _u10022), _u10024)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_range__composition ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_range__composition-1, axiom, ( ( hAPP(c_Set_Oimage(_u10025, _u10026, hAPP(hAPP(c_COMBB(_u10027, _u10026, _u10025), _u10028), _u10029)), c_Orderings_Otop__class_Otop(tc_fun(_u10025, tc_HOL_Obool))) = hAPP(c_Set_Oimage(_u10027, _u10026, _u10028), hAPP(c_Set_Oimage(_u10025, _u10027, _u10029), c_Orderings_Otop__class_Otop(tc_fun(_u10025, tc_HOL_Obool))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__atLeast__UNIV ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__atLeast__UNIV-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_finite__range__imageI ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_finite__range__imageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10030), hAPP(c_Set_Oimage(_u10031, _u10030, _u10032), c_Orderings_Otop__class_Otop(tc_fun(_u10031, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10033), hAPP(c_Set_Oimage(_u10031, _u10033, hAPP(hAPP(c_COMBB(_u10030, _u10033, _u10031), _u10034), _u10032)), c_Orderings_Otop__class_Otop(tc_fun(_u10031, tc_HOL_Obool))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_SUP__UN__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_SUP__UN__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10039, tc_fun(_u10041, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u10039, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u10041, tc_HOL_Obool), tc_fun(_u10041, tc_HOL_Obool), _u10039), hAPP(c_COMBC(_u10041, tc_fun(_u10041, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10041))), _u10043)), _u10045)) | hBOOL(hAPP(hAPP(c_member(_u10041), _u10045), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10039, tc_fun(_u10041, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u10039, tc_HOL_Obool))), _u10043))) )).
% 12.53/12.72 cnf(fact_SUP__UN__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10042), _u10046), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10040, tc_fun(_u10042, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u10040, tc_HOL_Obool))), _u10044))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10040, tc_fun(_u10042, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u10040, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u10042, tc_HOL_Obool), tc_fun(_u10042, tc_HOL_Obool), _u10040), hAPP(c_COMBC(_u10042, tc_fun(_u10042, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10042))), _u10044)), _u10046)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_finite__Collect__not ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_finite__Collect__not-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10047), hAPP(c_Set_OCollect(_u10047), _u10048))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10047), hAPP(c_Set_OCollect(_u10047), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u10047), c_fNot), _u10048)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10047), c_Orderings_Otop__class_Otop(tc_fun(_u10047, tc_HOL_Obool)))) )).
% 12.53/12.72 cnf(fact_finite__Collect__not-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10047), hAPP(c_Set_OCollect(_u10047), _u10048))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10047), c_Orderings_Otop__class_Otop(tc_fun(_u10047, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10047), hAPP(c_Set_OCollect(_u10047), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u10047), c_fNot), _u10048)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_transfer__nat__int__sum__prod2_I1_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_transfer__nat__int__sum__prod2_I1_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10049, tc_Nat_Onat), _u10050), _u10051) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10049, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u10049), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10050)), _u10051))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setsum__shift__bounds__Suc__ivl ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setsum__shift__bounds__Suc__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10052) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10052), _u10053), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10054)), hAPP(c_Nat_OSuc, _u10055))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10052), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10052, tc_Nat_Onat), _u10053), c_Nat_OSuc)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10054), _u10055))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_of__nat__setsum ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_of__nat__setsum-1, axiom, ( ~class_Rings_Osemiring__1(_u10056) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10056), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10057, tc_Nat_Onat), _u10058), _u10059)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10057, _u10056), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10056, _u10057), c_Nat_Osemiring__1__class_Oof__nat(_u10056)), _u10058)), _u10059)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Int__Inter__image ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Int__Inter__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10060, tc_fun(_u10061, tc_HOL_Obool)), _u10062), hAPP(hAPP(c_COMBS(_u10060, tc_fun(_u10061, tc_HOL_Obool), tc_fun(_u10061, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10061, tc_HOL_Obool), tc_fun(tc_fun(_u10061, tc_HOL_Obool), tc_fun(_u10061, tc_HOL_Obool)), _u10060), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10061, tc_HOL_Obool))), _u10063)), _u10064)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10061, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u10061, tc_HOL_Obool), hAPP(c_Set_Oimage(_u10060, tc_fun(_u10061, tc_HOL_Obool), _u10063), _u10062))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u10061, tc_HOL_Obool), hAPP(c_Set_Oimage(_u10060, tc_fun(_u10061, tc_HOL_Obool), _u10064), _u10062)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__le__add__shift ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__le__add__shift-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10065, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10066)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u10065, tc_HOL_Obool), tc_Nat_Onat), _u10067), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u10068))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10065, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10068, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10066), _u10068))), _u10067)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__Pow__subset ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__Pow__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u10069, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10070, tc_fun(tc_fun(_u10069, tc_HOL_Obool), tc_HOL_Obool)), _u10071), hAPP(hAPP(c_COMBB(tc_fun(_u10069, tc_HOL_Obool), tc_fun(tc_fun(_u10069, tc_HOL_Obool), tc_HOL_Obool), _u10070), c_Set_OPow(_u10069)), _u10072))), hAPP(c_Set_OPow(_u10069), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10070, tc_fun(_u10069, tc_HOL_Obool)), _u10071), _u10072)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_of__nat__setprod ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_of__nat__setprod-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10073) | ~class_Rings_Osemiring__1(_u10073) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10073), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10074, tc_Nat_Onat), _u10075), _u10076)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10074, _u10073), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10073, _u10074), c_Nat_Osemiring__1__class_Oof__nat(_u10073)), _u10075)), _u10076)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_transfer__nat__int__sum__prod2_I2_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_transfer__nat__int__sum__prod2_I2_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10077, tc_Nat_Onat), _u10078), _u10079) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10077, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u10077), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10078)), _u10079))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_image__add__atLeastLessThan ( axiom ) converted to clauses:
% 12.53/12.72 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)), _u10080)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10081), _u10082)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10081), _u10080)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10082), _u10080))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_image__add__atLeastAtMost ( axiom ) converted to clauses:
% 12.53/12.72 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)), _u10083)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10084, _u10085)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10084), _u10083), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10085), _u10083))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setsum__delta_H ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setsum__delta_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10086) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10087), _u10088)) | ~hBOOL(hAPP(hAPP(c_member(_u10087), _u10089), _u10088)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10087, _u10086), hAPP(hAPP(c_COMBC(_u10087, _u10086, _u10086), hAPP(hAPP(c_COMBS(_u10087, _u10086, tc_fun(_u10086, _u10086)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10086, tc_fun(_u10086, _u10086)), _u10087), c_If(_u10086)), hAPP(c_fequal, _u10089))), _u10090)), c_Groups_Ozero__class_Ozero(_u10086))), _u10088) = hAPP(_u10090, _u10089)) )).
% 12.53/12.72 cnf(fact_setsum__delta_H-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10086) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10087), _u10088)) | hBOOL(hAPP(hAPP(c_member(_u10087), _u10089), _u10088)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10087, _u10086), hAPP(hAPP(c_COMBC(_u10087, _u10086, _u10086), hAPP(hAPP(c_COMBS(_u10087, _u10086, tc_fun(_u10086, _u10086)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10086, tc_fun(_u10086, _u10086)), _u10087), c_If(_u10086)), hAPP(c_fequal, _u10089))), _u10090)), c_Groups_Ozero__class_Ozero(_u10086))), _u10088) = c_Groups_Ozero__class_Ozero(_u10086)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setsum__delta ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setsum__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10091) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10092), _u10093)) | ~hBOOL(hAPP(hAPP(c_member(_u10092), _u10094), _u10093)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10092, _u10091), hAPP(hAPP(c_COMBC(_u10092, _u10091, _u10091), hAPP(hAPP(c_COMBS(_u10092, _u10091, tc_fun(_u10091, _u10091)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10091, tc_fun(_u10091, _u10091)), _u10092), c_If(_u10091)), hAPP(hAPP(c_COMBC(_u10092, _u10092, tc_HOL_Obool), c_fequal), _u10094))), _u10095)), c_Groups_Ozero__class_Ozero(_u10091))), _u10093) = hAPP(_u10095, _u10094)) )).
% 12.53/12.72 cnf(fact_setsum__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10091) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10092), _u10093)) | hBOOL(hAPP(hAPP(c_member(_u10092), _u10094), _u10093)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10092, _u10091), hAPP(hAPP(c_COMBC(_u10092, _u10091, _u10091), hAPP(hAPP(c_COMBS(_u10092, _u10091, tc_fun(_u10091, _u10091)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10091, tc_fun(_u10091, _u10091)), _u10092), c_If(_u10091)), hAPP(hAPP(c_COMBC(_u10092, _u10092, tc_HOL_Obool), c_fequal), _u10094))), _u10095)), c_Groups_Ozero__class_Ozero(_u10091))), _u10093) = c_Groups_Ozero__class_Ozero(_u10091)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_image__constant ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_image__constant-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10096), _u10097), _u10098)) | ( hAPP(c_Set_Oimage(_u10096, _u10099, hAPP(c_COMBK(_u10099, _u10096), _u10100)), _u10098) = hAPP(hAPP(c_Set_Oinsert(_u10099), _u10100), c_Orderings_Obot__class_Obot(tc_fun(_u10099, tc_HOL_Obool)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setsum__setsum__restrict ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setsum__setsum__restrict-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10101) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10102), _u10103)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10104), _u10105)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10102, _u10101), hAPP(hAPP(c_COMBS(_u10102, tc_fun(_u10104, tc_HOL_Obool), _u10101), hAPP(hAPP(c_COMBB(tc_fun(_u10104, _u10101), tc_fun(tc_fun(_u10104, tc_HOL_Obool), _u10101), _u10102), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10104, _u10101)), _u10106)), hAPP(hAPP(c_COMBB(tc_fun(_u10104, tc_HOL_Obool), tc_fun(_u10104, tc_HOL_Obool), _u10102), c_Set_OCollect(_u10104)), hAPP(hAPP(c_COMBB(tc_fun(_u10104, tc_HOL_Obool), tc_fun(_u10104, tc_HOL_Obool), _u10102), hAPP(c_COMBS(_u10104, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10104), c_fconj), hAPP(hAPP(c_COMBC(_u10104, tc_fun(_u10104, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10104)), _u10105)))), _u10107)))), _u10103) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10104, _u10101), hAPP(hAPP(c_COMBS(_u10104, tc_fun(_u10102, tc_HOL_Obool), _u10101), hAPP(hAPP(c_COMBB(tc_fun(_u10102, _u10101), tc_fun(tc_fun(_u10102, tc_HOL_Obool), _u10101), _u10104), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10102, _u10101)), hAPP(c_COMBC(_u10102, _u10104, _u10101), _u10106))), hAPP(hAPP(c_COMBB(tc_fun(_u10102, tc_HOL_Obool), tc_fun(_u10102, tc_HOL_Obool), _u10104), c_Set_OCollect(_u10102)), hAPP(hAPP(c_COMBB(tc_fun(_u10102, tc_HOL_Obool), tc_fun(_u10102, tc_HOL_Obool), _u10104), hAPP(c_COMBS(_u10102, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10102), c_fconj), hAPP(hAPP(c_COMBC(_u10102, tc_fun(_u10102, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10102)), _u10103)))), hAPP(c_COMBC(_u10102, _u10104, tc_HOL_Obool), _u10107))))), _u10105)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INT__greaterThan__UNIV ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INT__greaterThan__UNIV-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setprod__delta_H ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setprod__delta_H-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10108) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10109), _u10110)) | ~hBOOL(hAPP(hAPP(c_member(_u10109), _u10111), _u10110)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10109, _u10108), hAPP(hAPP(c_COMBC(_u10109, _u10108, _u10108), hAPP(hAPP(c_COMBS(_u10109, _u10108, tc_fun(_u10108, _u10108)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10108, tc_fun(_u10108, _u10108)), _u10109), c_If(_u10108)), hAPP(c_fequal, _u10111))), _u10112)), c_Groups_Oone__class_Oone(_u10108))), _u10110) = hAPP(_u10112, _u10111)) )).
% 12.53/12.72 cnf(fact_setprod__delta_H-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10108) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10109), _u10110)) | hBOOL(hAPP(hAPP(c_member(_u10109), _u10111), _u10110)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10109, _u10108), hAPP(hAPP(c_COMBC(_u10109, _u10108, _u10108), hAPP(hAPP(c_COMBS(_u10109, _u10108, tc_fun(_u10108, _u10108)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10108, tc_fun(_u10108, _u10108)), _u10109), c_If(_u10108)), hAPP(c_fequal, _u10111))), _u10112)), c_Groups_Oone__class_Oone(_u10108))), _u10110) = c_Groups_Oone__class_Oone(_u10108)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setprod__delta ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setprod__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10113) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10114), _u10115)) | ~hBOOL(hAPP(hAPP(c_member(_u10114), _u10116), _u10115)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10114, _u10113), hAPP(hAPP(c_COMBC(_u10114, _u10113, _u10113), hAPP(hAPP(c_COMBS(_u10114, _u10113, tc_fun(_u10113, _u10113)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10113, tc_fun(_u10113, _u10113)), _u10114), c_If(_u10113)), hAPP(hAPP(c_COMBC(_u10114, _u10114, tc_HOL_Obool), c_fequal), _u10116))), _u10117)), c_Groups_Oone__class_Oone(_u10113))), _u10115) = hAPP(_u10117, _u10116)) )).
% 12.53/12.72 cnf(fact_setprod__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10113) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10114), _u10115)) | hBOOL(hAPP(hAPP(c_member(_u10114), _u10116), _u10115)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10114, _u10113), hAPP(hAPP(c_COMBC(_u10114, _u10113, _u10113), hAPP(hAPP(c_COMBS(_u10114, _u10113, tc_fun(_u10113, _u10113)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10113, tc_fun(_u10113, _u10113)), _u10114), c_If(_u10113)), hAPP(hAPP(c_COMBC(_u10114, _u10114, tc_HOL_Obool), c_fequal), _u10116))), _u10117)), c_Groups_Oone__class_Oone(_u10113))), _u10115) = c_Groups_Oone__class_Oone(_u10113)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_image__eq__UN ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_image__eq__UN-1, axiom, ( ( hAPP(c_Set_Oimage(_u10118, _u10119, _u10120), _u10121) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10118, tc_fun(_u10119, tc_HOL_Obool)), _u10121), hAPP(hAPP(c_COMBC(_u10118, tc_fun(_u10119, tc_HOL_Obool), tc_fun(_u10119, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u10119, tc_fun(tc_fun(_u10119, tc_HOL_Obool), tc_fun(_u10119, tc_HOL_Obool)), _u10118), c_Set_Oinsert(_u10119)), _u10120)), c_Orderings_Obot__class_Obot(tc_fun(_u10119, tc_HOL_Obool))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_if__image__distrib ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_if__image__distrib-1, axiom, ( ( hAPP(c_Set_Oimage(_u10122, _u10123, hAPP(hAPP(c_COMBS(_u10122, _u10123, _u10123), hAPP(hAPP(c_COMBS(_u10122, _u10123, tc_fun(_u10123, _u10123)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10123, tc_fun(_u10123, _u10123)), _u10122), c_If(_u10123)), _u10124)), _u10125)), _u10126)), _u10127) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10123, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10122, _u10123, _u10125), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10122, tc_HOL_Obool)), _u10127), hAPP(c_Set_OCollect(_u10122), _u10124)))), hAPP(c_Set_Oimage(_u10122, _u10123, _u10126), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10122, tc_HOL_Obool)), _u10127), hAPP(c_Set_OCollect(_u10122), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u10122), c_fNot), _u10124)))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INT__simps_I4_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INT__simps_I4_J-1, axiom, ( ( _u10133 != c_Orderings_Obot__class_Obot(tc_fun(_u10135, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10135, tc_fun(_u10137, tc_HOL_Obool)), _u10133), hAPP(hAPP(c_COMBB(tc_fun(_u10137, tc_HOL_Obool), tc_fun(_u10137, tc_HOL_Obool), _u10135), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10137, tc_HOL_Obool)), _u10139)), _u10141)) = c_Orderings_Otop__class_Otop(tc_fun(_u10137, tc_HOL_Obool))) )).
% 12.53/12.72 cnf(fact_INT__simps_I4_J-2, axiom, ( ( _u10134 = c_Orderings_Obot__class_Obot(tc_fun(_u10136, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10136, tc_fun(_u10138, tc_HOL_Obool)), _u10134), hAPP(hAPP(c_COMBB(tc_fun(_u10138, tc_HOL_Obool), tc_fun(_u10138, tc_HOL_Obool), _u10136), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10138, tc_HOL_Obool)), _u10140)), _u10142)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10138, tc_HOL_Obool)), _u10140), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10136, tc_fun(_u10138, tc_HOL_Obool)), _u10134), _u10142))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setsum__constant ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setsum__constant-1, axiom, ( ~class_Rings_Osemiring__1(_u10143) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10144, _u10143), hAPP(c_COMBK(_u10143, _u10144), _u10145)), _u10146) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10143), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10143), hAPP(c_Finite__Set_Ocard(_u10144), _u10146))), _u10145)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_power__number__of__even ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_power__number__of__even-1, axiom, ( ~class_Int_Onumber__ring(_u10147) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10147), _u10148), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u10149))) = hAPP(hAPP(c_HOL_OLet(_u10147, _u10147), hAPP(hAPP(c_Power_Opower__class_Opower(_u10147), _u10148), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10149))), hAPP(hAPP(c_COMBS(_u10147, _u10147, _u10147), c_Groups_Otimes__class_Otimes(_u10147)), c_COMBI(_u10147)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_fold__image__distrib ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_fold__image__distrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10150) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10151), _u10152)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10150, _u10151, c_Groups_Otimes__class_Otimes(_u10150)), hAPP(hAPP(c_COMBS(_u10151, _u10150, _u10150), hAPP(hAPP(c_COMBB(_u10150, tc_fun(_u10150, _u10150), _u10151), c_Groups_Otimes__class_Otimes(_u10150)), _u10153)), _u10154)), c_Groups_Oone__class_Oone(_u10150)), _u10152) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10150), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10150, _u10151, c_Groups_Otimes__class_Otimes(_u10150)), _u10153), c_Groups_Oone__class_Oone(_u10150)), _u10152)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10150, _u10151, c_Groups_Otimes__class_Otimes(_u10150)), _u10154), c_Groups_Oone__class_Oone(_u10150)), _u10152))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_dual__max ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_dual__max-1, axiom, ( ~class_Orderings_Olinorder(_u10155) | ( c_Orderings_Oord_Omax(_u10155, hAPP(c_COMBC(_u10155, _u10155, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u10155))) = c_Orderings_Oord__class_Omin(_u10155)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_dual__min ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_dual__min-1, axiom, ( ~class_Orderings_Olinorder(_u10156) | ( c_Orderings_Oord_Omin(_u10156, hAPP(c_COMBC(_u10156, _u10156, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u10156))) = c_Orderings_Oord__class_Omax(_u10156)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setprod__constant ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setprod__constant-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10157) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10158), _u10159)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10158, _u10157), hAPP(c_COMBK(_u10157, _u10158), _u10160)), _u10159) = hAPP(hAPP(c_Power_Opower__class_Opower(_u10157), _u10160), hAPP(c_Finite__Set_Ocard(_u10158), _u10159))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_sup__SUPR__fold__sup ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_sup__SUPR__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10161) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10162), _u10163)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10161), _u10164), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10162, _u10161), _u10163), _u10165)) = hAPP(hAPP(c_Finite__Set_Ofold(_u10162, _u10161, hAPP(hAPP(c_COMBB(_u10161, tc_fun(_u10161, _u10161), _u10162), c_Lattices_Osemilattice__sup__class_Osup(_u10161)), _u10165)), _u10164), _u10163)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_inf__INFI__fold__inf ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_inf__INFI__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10166) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10167), _u10168)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u10166), _u10169), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10167, _u10166), _u10168), _u10170)) = hAPP(hAPP(c_Finite__Set_Ofold(_u10167, _u10166, hAPP(hAPP(c_COMBB(_u10166, tc_fun(_u10166, _u10166), _u10167), c_Lattices_Osemilattice__inf__class_Oinf(_u10166)), _u10170)), _u10169), _u10168)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J ( axiom ) converted to clauses:
% 12.53/12.72 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)))), _u10171)) = 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), _u10171), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J-1, axiom, ( ( hAPP(c_Set_OCollect(tc_Nat_Onat), _u10172) = 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), _u10172), c_Int_Onat))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_zpower__number__of__even ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_zpower__number__of__even-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10173), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u10174))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10173), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10174))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), c_Groups_Otimes__class_Otimes(tc_Int_Oint)), c_COMBI(tc_Int_Oint)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setsum__lessThan__Suc ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setsum__lessThan__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10175) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10175), _u10176), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10177))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10175), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10175), _u10176), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u10177))), hAPP(_u10176, _u10177))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setsum__atMost__Suc ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setsum__atMost__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10178) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10178), _u10179), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10180))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10178), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10178), _u10179), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10180))), hAPP(_u10179, hAPP(c_Nat_OSuc, _u10180)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_transfer__nat__int__sum__prod_I1_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_transfer__nat__int__sum__prod_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10181) | ~class_Groups_Ocomm__monoid__mult(_u10181) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10181), _u10182), _u10183) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u10181), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10181, tc_Int_Oint), _u10182), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10183))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Un__Union__image ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Un__Union__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10184, tc_fun(_u10185, tc_HOL_Obool)), _u10186), hAPP(hAPP(c_COMBS(_u10184, tc_fun(_u10185, tc_HOL_Obool), tc_fun(_u10185, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10185, tc_HOL_Obool), tc_fun(tc_fun(_u10185, tc_HOL_Obool), tc_fun(_u10185, tc_HOL_Obool)), _u10184), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10185, tc_HOL_Obool))), _u10187)), _u10188)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10185, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10185, tc_HOL_Obool), hAPP(c_Set_Oimage(_u10184, tc_fun(_u10185, tc_HOL_Obool), _u10187), _u10186))), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10185, tc_HOL_Obool), hAPP(c_Set_Oimage(_u10184, tc_fun(_u10185, tc_HOL_Obool), _u10188), _u10186)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_image__add__int__atLeastLessThan ( axiom ) converted to clauses:
% 12.53/12.72 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)), _u10189)), 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), _u10190), _u10189))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u10189), _u10190)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_transfer__int__nat__sum__prod_I2_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_transfer__int__nat__sum__prod_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10191) | ~class_Groups_Ocomm__monoid__mult(_u10191) | ~c_Nat__Transfer_Onat__set(_u10192) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u10191), _u10193), _u10192) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u10191), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u10191, tc_Nat_Onat), _u10193), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10192))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Powp__Pow__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Powp__Pow__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u10197, hAPP(hAPP(c_COMBC(_u10197, tc_fun(_u10197, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10197)), _u10199)), _u10201)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10197, tc_HOL_Obool)), _u10201), hAPP(c_Set_OPow(_u10197), _u10199))) )).
% 12.53/12.72 cnf(fact_Powp__Pow__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10198, tc_HOL_Obool)), _u10202), hAPP(c_Set_OPow(_u10198), _u10200))) | hBOOL(hAPP(c_Predicate_OPowp(_u10198, hAPP(hAPP(c_COMBC(_u10198, tc_fun(_u10198, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10198)), _u10200)), _u10202)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setsum__restrict__set_H ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setsum__restrict__set_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10203) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10204), _u10205)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10204, _u10203), _u10206), hAPP(c_Set_OCollect(_u10204), hAPP(hAPP(c_COMBS(_u10204, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10204), c_fconj), hAPP(hAPP(c_COMBC(_u10204, tc_fun(_u10204, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10204)), _u10205))), hAPP(hAPP(c_COMBC(_u10204, tc_fun(_u10204, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10204)), _u10207)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10204, _u10203), hAPP(hAPP(c_COMBC(_u10204, _u10203, _u10203), hAPP(hAPP(c_COMBS(_u10204, _u10203, tc_fun(_u10203, _u10203)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10203, tc_fun(_u10203, _u10203)), _u10204), c_If(_u10203)), hAPP(hAPP(c_COMBC(_u10204, tc_fun(_u10204, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10204)), _u10207))), _u10206)), c_Groups_Ozero__class_Ozero(_u10203))), _u10205)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setsum__restrict__set ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setsum__restrict__set-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10208) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10209), _u10210)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10209, _u10208), _u10211), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10209, tc_HOL_Obool)), _u10210), _u10212)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10209, _u10208), hAPP(hAPP(c_COMBC(_u10209, _u10208, _u10208), hAPP(hAPP(c_COMBS(_u10209, _u10208, tc_fun(_u10208, _u10208)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10208, tc_fun(_u10208, _u10208)), _u10209), c_If(_u10208)), hAPP(hAPP(c_COMBC(_u10209, tc_fun(_u10209, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10209)), _u10212))), _u10211)), c_Groups_Ozero__class_Ozero(_u10208))), _u10210)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setsum__image__gen ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setsum__image__gen-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10213) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10214), _u10215)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10214, _u10213), _u10216), _u10215) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10217, _u10213), hAPP(hAPP(c_COMBB(tc_fun(_u10214, tc_HOL_Obool), _u10213, _u10217), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10214, _u10213), _u10216)), hAPP(hAPP(c_COMBB(tc_fun(_u10214, tc_HOL_Obool), tc_fun(_u10214, tc_HOL_Obool), _u10217), c_Set_OCollect(_u10214)), hAPP(hAPP(c_COMBB(tc_fun(_u10214, tc_HOL_Obool), tc_fun(_u10214, tc_HOL_Obool), _u10217), hAPP(c_COMBS(_u10214, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10214), c_fconj), hAPP(hAPP(c_COMBC(_u10214, tc_fun(_u10214, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10214)), _u10215)))), hAPP(c_COMBC(_u10214, _u10217, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u10217, tc_fun(_u10217, tc_HOL_Obool), _u10214), c_fequal), _u10218)))))), hAPP(c_Set_Oimage(_u10214, _u10217, _u10218), _u10215))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_image__eq__fold__image ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_image__eq__fold__image-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10219), _u10220)) | ( hAPP(c_Set_Oimage(_u10219, _u10221, _u10222), _u10220) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(_u10221, tc_HOL_Obool), _u10219, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10221, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u10219, tc_fun(_u10221, tc_HOL_Obool), tc_fun(_u10221, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u10221, tc_fun(tc_fun(_u10221, tc_HOL_Obool), tc_fun(_u10221, tc_HOL_Obool)), _u10219), c_Set_Oinsert(_u10221)), _u10222)), c_Orderings_Obot__class_Obot(tc_fun(_u10221, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(_u10221, tc_HOL_Obool))), _u10220)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_power__number__of__even__number__of ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_power__number__of__even__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u10223) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10223), hAPP(c_Int_Onumber__class_Onumber__of(_u10223), _u10224)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u10225))) = hAPP(hAPP(c_HOL_OLet(_u10223, _u10223), hAPP(hAPP(c_Power_Opower__class_Opower(_u10223), hAPP(c_Int_Onumber__class_Onumber__of(_u10223), _u10224)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10225))), hAPP(hAPP(c_COMBS(_u10223, _u10223, _u10223), c_Groups_Otimes__class_Otimes(_u10223)), c_COMBI(_u10223)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_SUPR__fold__sup ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_SUPR__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10226) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10227), _u10228)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10227, _u10226), _u10228), _u10229) = hAPP(hAPP(c_Finite__Set_Ofold(_u10227, _u10226, hAPP(hAPP(c_COMBB(_u10226, tc_fun(_u10226, _u10226), _u10227), c_Lattices_Osemilattice__sup__class_Osup(_u10226)), _u10229)), c_Orderings_Obot__class_Obot(_u10226)), _u10228)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_card_Oeq__fold__g ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_card_Oeq__fold__g-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10230), _u10231)) | ( hAPP(c_Finite__Set_Ocard(_u10230), _u10231) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u10230, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u10230), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10231)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_card__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_card__def-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10234), _u10236)) | ( hAPP(c_Finite__Set_Ocard(_u10234), _u10236) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u10234, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u10234), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10236)) )).
% 12.53/12.72 cnf(fact_card__def-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u10235), _u10237)) | ( hAPP(c_Finite__Set_Ocard(_u10235), _u10237) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_fun__left__comm__idem__remove ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_fun__left__comm__idem__remove-1, axiom, ( c_Finite__Set_Ofun__left__comm__idem(_u10238, tc_fun(_u10238, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u10238, tc_HOL_Obool), tc_fun(tc_fun(_u10238, tc_HOL_Obool), tc_fun(_u10238, tc_HOL_Obool)), _u10238), hAPP(c_COMBC(tc_fun(_u10238, tc_HOL_Obool), tc_fun(_u10238, tc_HOL_Obool), tc_fun(_u10238, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u10238, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u10238, tc_fun(_u10238, tc_HOL_Obool), tc_fun(_u10238, tc_HOL_Obool)), c_Set_Oinsert(_u10238)), c_Orderings_Obot__class_Obot(tc_fun(_u10238, tc_HOL_Obool))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INFI__fold__inf ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INFI__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10239) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10240), _u10241)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10240, _u10239), _u10241), _u10242) = hAPP(hAPP(c_Finite__Set_Ofold(_u10240, _u10239, hAPP(hAPP(c_COMBB(_u10239, tc_fun(_u10239, _u10239), _u10240), c_Lattices_Osemilattice__inf__class_Oinf(_u10239)), _u10242)), c_Orderings_Otop__class_Otop(_u10239)), _u10241)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_diff__nat__eq__if ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_diff__nat__eq__if-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10245)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u10247)), hAPP(c_Int_Onat, _u10245)) = hAPP(c_Int_Onat, _u10247)) )).
% 12.53/12.72 cnf(fact_diff__nat__eq__if-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10246)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u10248)), hAPP(c_Int_Onat, _u10246)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10248), _u10246)), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_Int_Oint), c_If(tc_Nat_Onat)), c_Nat__Numeral_Oneg)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Int_Onat))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_negDivAlg__div__mod ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_negDivAlg__div__mod-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10249), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10250)) | ( c_Divides_OnegDivAlg(_u10249, _u10250) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10249), _u10250)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10249, _u10250))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_negDivAlg__minus1 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_negDivAlg__minus1-1, axiom, ( ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u10251) = 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), _u10251), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_card__less__Suc2 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_card__less__Suc2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10252)) | ( 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)), _u10252))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u10253)))) = 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)), _u10252))), 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, _u10253)))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_card__less ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_card__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10254)) | ( 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)), _u10254))), 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, _u10255))))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_card__less__Suc ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_card__less__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10256)) | ( 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)), _u10256))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u10257))))) = 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)), _u10256))), 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, _u10257)))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__le__eq__Un0 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__le__eq__Un0-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10258, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10259)), _u10260) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10258, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10258, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u10259)), _u10260)), hAPP(_u10260, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_transfer__int__nat__sum__prod_I1_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_transfer__int__nat__sum__prod_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10261) | ~class_Groups_Ocomm__monoid__mult(_u10261) | ~c_Nat__Transfer_Onat__set(_u10262) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u10261), _u10263), _u10262) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10261), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u10261, tc_Nat_Onat), _u10263), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10262))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_adjust__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_adjust__eq-1, axiom, ( ( hAPP(c_Divides_Oadjust(_u10264), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10265), _u10266)) = 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), _u10266), _u10264)), 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)))), _u10265)), 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)))), _u10265)), _u10266)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setsum__head ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setsum__head-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10267) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10268), _u10269)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10267), _u10270), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10268, _u10269)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10267), hAPP(_u10270, _u10268)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10267), _u10270), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u10268, _u10269)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setsum__cases ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setsum__cases-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10271) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10272), _u10273)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10272, _u10271), hAPP(hAPP(c_COMBS(_u10272, _u10271, _u10271), hAPP(hAPP(c_COMBS(_u10272, _u10271, tc_fun(_u10271, _u10271)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10271, tc_fun(_u10271, _u10271)), _u10272), c_If(_u10271)), _u10274)), _u10275)), _u10276)), _u10273) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10271), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10272, _u10271), _u10275), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10272, tc_HOL_Obool)), _u10273), hAPP(c_Set_OCollect(_u10272), _u10274)))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10272, _u10271), _u10276), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10272, tc_HOL_Obool)), _u10273), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u10272, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u10272), _u10274)))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_minus__fold__remove ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_minus__fold__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10277), _u10278)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10277, tc_HOL_Obool)), _u10279), _u10278) = hAPP(hAPP(c_Finite__Set_Ofold(_u10277, tc_fun(_u10277, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u10277, tc_HOL_Obool), tc_fun(tc_fun(_u10277, tc_HOL_Obool), tc_fun(_u10277, tc_HOL_Obool)), _u10277), hAPP(c_COMBC(tc_fun(_u10277, tc_HOL_Obool), tc_fun(_u10277, tc_HOL_Obool), tc_fun(_u10277, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u10277, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u10277, tc_fun(_u10277, tc_HOL_Obool), tc_fun(_u10277, tc_HOL_Obool)), c_Set_Oinsert(_u10277)), c_Orderings_Obot__class_Obot(tc_fun(_u10277, tc_HOL_Obool))))), _u10279), _u10278)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Suc__eq__number__of ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Suc__eq__number__of-1, axiom, ( ( hAPP(c_Nat_OSuc, _u10282) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10284)) | 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(_u10284))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10282))))) )).
% 12.53/12.72 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(_u10285))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10283))))) | ( hAPP(c_Nat_OSuc, _u10283) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10285)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_eq__number__of__Suc ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_eq__number__of__Suc-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10288) != hAPP(c_Nat_OSuc, _u10290)) | 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(_u10288))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10290))))) )).
% 12.53/12.72 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(_u10289))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10291))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10289) = hAPP(c_Nat_OSuc, _u10291)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_nat__number__of__Bit1 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_nat__number__of__Bit1-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10293))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10293)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.72 cnf(fact_nat__number__of__Bit1-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10294))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10294)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10294)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_COMBI(tc_Nat_Onat))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_geometric__sum ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_geometric__sum-1, axiom, ( ~class_Fields_Ofield(_u10295) | ( _u10296 = c_Groups_Oone__class_Oone(_u10295)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10295), hAPP(c_Power_Opower__class_Opower(_u10295), _u10296)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10297)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10295), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10295), hAPP(hAPP(c_Power_Opower__class_Opower(_u10295), _u10296), _u10297)), c_Groups_Oone__class_Oone(_u10295))), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10295), _u10296), c_Groups_Oone__class_Oone(_u10295)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_gauss__sum ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_gauss__sum-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u10298) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10298), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10298), c_Groups_Oone__class_Oone(_u10298)), c_Groups_Oone__class_Oone(_u10298))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10298), c_Nat_Osemiring__1__class_Oof__nat(_u10298)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u10299))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10298), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10298), _u10299)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10298), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10298), _u10299)), c_Groups_Oone__class_Oone(_u10298)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setsum__natinterval__difff ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setsum__natinterval__difff-1, axiom, ( ~class_Groups_Oab__group__add(_u10300) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10301), _u10302)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10300), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u10300, _u10300), hAPP(hAPP(c_COMBB(_u10300, tc_fun(_u10300, _u10300), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u10300)), _u10303)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10300, tc_Nat_Onat), _u10303), 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, _u10301, _u10302)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10300), hAPP(_u10303, _u10301)), hAPP(_u10303, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10302), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 12.53/12.72 cnf(fact_setsum__natinterval__difff-2, axiom, ( ~class_Groups_Oab__group__add(_u10300) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10301), _u10302)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10300), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u10300, _u10300), hAPP(hAPP(c_COMBB(_u10300, tc_fun(_u10300, _u10300), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u10300)), _u10303)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10300, tc_Nat_Onat), _u10303), 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, _u10301, _u10302)) = c_Groups_Ozero__class_Ozero(_u10300)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_less__Suc__number__of ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_less__Suc__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10306)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10308))) | 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(_u10308))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u10306)), c_Int_Onat))))) )).
% 12.53/12.72 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(_u10309))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u10307)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10307)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10309))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_less__number__of__Suc ( axiom ) converted to clauses:
% 12.53/12.72 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), _u10312)), hAPP(c_Nat_OSuc, _u10314))) | 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(_u10312))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10314)))) )).
% 12.53/12.72 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(_u10313))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10315)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10313)), hAPP(c_Nat_OSuc, _u10315))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_le__Suc__number__of ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_le__Suc__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10318)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10320))) | 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(_u10320))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u10318)), c_Int_Onat))))) )).
% 12.53/12.72 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(_u10321))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u10319)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10319)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10321))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_le__number__of__Suc ( axiom ) converted to clauses:
% 12.53/12.72 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), _u10324)), hAPP(c_Nat_OSuc, _u10326))) | 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(_u10324))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10326)))) )).
% 12.53/12.72 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(_u10325))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10327)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10325)), hAPP(c_Nat_OSuc, _u10327))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_max__Suc__number__of ( axiom ) converted to clauses:
% 12.53/12.72 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), _u10328)), hAPP(c_Nat_OSuc, _u10329)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10328))), 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, _u10329))), 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)), _u10329))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_max__number__of__Suc ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_max__number__of__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10330)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10331)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10331))), 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, _u10330))), 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), _u10330)), c_Int_Onat))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_power__number__of__odd ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_power__number__of__odd-1, axiom, ( ~class_Int_Onumber__ring(_u10332) | ~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), _u10333))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10332), _u10334), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10333))) = hAPP(hAPP(c_HOL_OLet(_u10332, _u10332), hAPP(hAPP(c_Power_Opower__class_Opower(_u10332), _u10334), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10333))), hAPP(hAPP(c_COMBS(_u10332, _u10332, _u10332), hAPP(hAPP(c_COMBB(_u10332, tc_fun(_u10332, _u10332), _u10332), c_Groups_Otimes__class_Otimes(_u10332)), hAPP(c_Groups_Otimes__class_Otimes(_u10332), _u10334))), c_COMBI(_u10332)))) )).
% 12.53/12.72 cnf(fact_power__number__of__odd-2, axiom, ( ~class_Int_Onumber__ring(_u10332) | 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), _u10333))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10332), _u10334), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10333))) = c_Groups_Oone__class_Oone(_u10332)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setprod__gen__delta ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setprod__gen__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10335) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10336), _u10337)) | ~hBOOL(hAPP(hAPP(c_member(_u10336), _u10338), _u10337)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10336, _u10335), hAPP(hAPP(c_COMBC(_u10336, _u10335, _u10335), hAPP(hAPP(c_COMBS(_u10336, _u10335, tc_fun(_u10335, _u10335)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10335, tc_fun(_u10335, _u10335)), _u10336), c_If(_u10335)), hAPP(hAPP(c_COMBC(_u10336, _u10336, tc_HOL_Obool), c_fequal), _u10338))), _u10339)), _u10340)), _u10337) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10335), hAPP(_u10339, _u10338)), hAPP(hAPP(c_Power_Opower__class_Opower(_u10335), _u10340), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10336), _u10337)), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 12.53/12.72 cnf(fact_setprod__gen__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10335) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10336), _u10337)) | hBOOL(hAPP(hAPP(c_member(_u10336), _u10338), _u10337)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10336, _u10335), hAPP(hAPP(c_COMBC(_u10336, _u10335, _u10335), hAPP(hAPP(c_COMBS(_u10336, _u10335, tc_fun(_u10335, _u10335)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10335, tc_fun(_u10335, _u10335)), _u10336), c_If(_u10335)), hAPP(hAPP(c_COMBC(_u10336, _u10336, tc_HOL_Obool), c_fequal), _u10338))), _u10339)), _u10340)), _u10337) = hAPP(hAPP(c_Power_Opower__class_Opower(_u10335), _u10340), hAPP(c_Finite__Set_Ocard(_u10336), _u10337))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_image__minus__const__atLeastLessThan__nat ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_image__minus__const__atLeastLessThan__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10344), _u10346)) | ( 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)), _u10344)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10348), _u10346)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10348), _u10344)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10346), _u10344))) )).
% 12.53/12.72 cnf(fact_image__minus__const__atLeastLessThan__nat-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10345), _u10347)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10349), _u10347)) | ( 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)), _u10345)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10349), _u10347)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.53/12.72 cnf(fact_image__minus__const__atLeastLessThan__nat-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10345), _u10347)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10349), _u10347)) | ( 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)), _u10345)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10349), _u10347)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_zpower__number__of__odd ( axiom ) converted to clauses:
% 12.53/12.72 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), _u10352))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10354), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10352))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10354), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10352))), 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), _u10354))), c_COMBI(tc_Int_Oint)))) )).
% 12.53/12.72 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), _u10353))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10355), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10353))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_arith__series__general ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_arith__series__general-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u10356) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10356), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10356), c_Groups_Oone__class_Oone(_u10356)), c_Groups_Oone__class_Oone(_u10356))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10356), hAPP(hAPP(c_COMBB(_u10356, _u10356, tc_Nat_Onat), hAPP(c_Groups_Oplus__class_Oplus(_u10356), _u10357)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u10356, _u10356), hAPP(hAPP(c_COMBB(_u10356, tc_fun(_u10356, _u10356), tc_Nat_Onat), c_Groups_Otimes__class_Otimes(_u10356)), c_Nat_Osemiring__1__class_Oof__nat(_u10356))), _u10358))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u10359))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10356), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10356), _u10359)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10356), _u10357), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10356), _u10357), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10356), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10356), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10359), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u10358))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_negDivAlg_Osimps ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_negDivAlg_Osimps-1, axiom, ( ( c_Divides_OnegDivAlg(_u10362, _u10364) = 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), _u10362), _u10364))) | ~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), _u10362), _u10364))) )).
% 12.53/12.72 cnf(fact_negDivAlg_Osimps-2, axiom, ( ( c_Divides_OnegDivAlg(_u10362, _u10364) = 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), _u10362), _u10364))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10364), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.72 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), _u10363), _u10365))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10365), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u10363, _u10365) = hAPP(c_Divides_Oadjust(_u10365), c_Divides_OnegDivAlg(_u10363, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u10365)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__number__of__Suc ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__number__of__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10366)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10367)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10367))), 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), _u10366)), c_Int_Onat))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__Suc__number__of ( axiom ) converted to clauses:
% 12.53/12.72 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), _u10368)), hAPP(c_Nat_OSuc, _u10369)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10368))), 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)), _u10369))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_arith__series__nat ( axiom ) converted to clauses:
% 12.53/12.72 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), _u10370)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Otimes__class_Otimes(tc_Nat_Onat)), _u10371))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u10372))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10372), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10370), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10370), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10372), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u10371))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_power__number__of__odd__number__of ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_power__number__of__odd__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u10373) | ~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), _u10374))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10373), hAPP(c_Int_Onumber__class_Onumber__of(_u10373), _u10375)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10374))) = hAPP(hAPP(c_HOL_OLet(_u10373, _u10373), hAPP(hAPP(c_Power_Opower__class_Opower(_u10373), hAPP(c_Int_Onumber__class_Onumber__of(_u10373), _u10375)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10374))), hAPP(hAPP(c_COMBS(_u10373, _u10373, _u10373), hAPP(hAPP(c_COMBB(_u10373, tc_fun(_u10373, _u10373), _u10373), c_Groups_Otimes__class_Otimes(_u10373)), hAPP(c_Groups_Otimes__class_Otimes(_u10373), hAPP(c_Int_Onumber__class_Onumber__of(_u10373), _u10375)))), c_COMBI(_u10373)))) )).
% 12.53/12.72 cnf(fact_power__number__of__odd__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u10373) | 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), _u10374))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10373), hAPP(c_Int_Onumber__class_Onumber__of(_u10373), _u10375)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10374))) = c_Groups_Oone__class_Oone(_u10373)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_negDivAlg__eqn__number__of ( axiom ) converted to clauses:
% 12.53/12.72 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), _u10376))) | ~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), _u10377)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10376)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10377), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10376)) = 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), _u10377)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10376)))) )).
% 12.53/12.72 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), _u10376))) | 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), _u10377)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10376)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10377), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10376)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10376)), c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10377), hAPP(hAPP(c_Groups_Otimes__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), _u10376))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_negDivAlg__eqn ( axiom ) converted to clauses:
% 12.53/12.72 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)), _u10378)) | ~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), _u10379), _u10378))) | ( c_Divides_OnegDivAlg(_u10379, _u10378) = 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), _u10379), _u10378))) )).
% 12.53/12.72 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)), _u10378)) | 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), _u10379), _u10378))) | ( c_Divides_OnegDivAlg(_u10379, _u10378) = hAPP(c_Divides_Oadjust(_u10378), c_Divides_OnegDivAlg(_u10379, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u10378)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_diff__nat__number__of ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_diff__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10382), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10384)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10382)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10384)) )).
% 12.53/12.72 cnf(fact_diff__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10383), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10385)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10383)) = 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), _u10385), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10383)))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_Int_Oint), c_If(tc_Nat_Onat)), c_Nat__Numeral_Oneg)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Int_Onat))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_norm__frac_Osimps ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_norm__frac_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10388), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u10390, _u10388) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10390), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10388))) )).
% 12.53/12.72 cnf(fact_norm__frac_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10389), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u10391, _u10389) = 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))) | ( _u10391 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.72 cnf(fact_norm__frac_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10389), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u10391, _u10389) = 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))) | ( _u10389 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.72 cnf(fact_norm__frac_Osimps-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10389), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u10391 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10389 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u10391, _u10389) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u10391), _u10389)), 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), _u10391))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10389)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_nat__case__add__eq__if ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_nat__case__add__eq__if-1, axiom, ( ( c_Nat_Onat_Onat__case(_u10392, _u10393, _u10394, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10395)), _u10396)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u10392), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10395))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10392, _u10392), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u10392, tc_fun(_u10392, _u10392)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10392, tc_fun(_u10392, _u10392)), tc_Int_Oint), c_If(_u10392)), c_Nat__Numeral_Oneg)), c_Nat_Onat_Onat__case(_u10392, _u10393, _u10394, _u10396))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10392, tc_Int_Oint), _u10394), 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)), _u10396))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_posDivAlg__eqn__1__number__of ( axiom ) converted to clauses:
% 12.53/12.72 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), _u10397))) | ~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), _u10397))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10397)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.53/12.72 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), _u10397))) | 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), _u10397))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10397)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10397)), 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), _u10397))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_posDivAlg_Osimps ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_posDivAlg_Osimps-1, axiom, ( ( c_Divides_OposDivAlg(_u10400, _u10402) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10400)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10400), _u10402)) )).
% 12.53/12.72 cnf(fact_posDivAlg_Osimps-2, axiom, ( ( c_Divides_OposDivAlg(_u10400, _u10402) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10400)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10402), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.72 cnf(fact_posDivAlg_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10401), _u10403)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10403), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u10401, _u10403) = hAPP(c_Divides_Oadjust(_u10403), c_Divides_OposDivAlg(_u10401, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u10403)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_sup2CI ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_sup2CI-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10408, tc_fun(_u10409, tc_HOL_Obool))), _u10407), _u10404), _u10405), _u10406)) | ~hBOOL(hAPP(hAPP(_u10404, _u10405), _u10406)) )).
% 12.53/12.72 cnf(fact_sup2CI-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10408, tc_fun(_u10409, tc_HOL_Obool))), _u10407), _u10404), _u10405), _u10406)) | ~hBOOL(hAPP(hAPP(_u10407, _u10405), _u10406)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_sup2E ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_sup2E-1, axiom, ( hBOOL(hAPP(hAPP(_u10412, _u10414), _u10415)) | hBOOL(hAPP(hAPP(_u10413, _u10414), _u10415)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10410, tc_fun(_u10411, tc_HOL_Obool))), _u10412), _u10413), _u10414), _u10415)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_inf2I ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_inf2I-1, axiom, ( ~hBOOL(hAPP(hAPP(_u10416, _u10417), _u10418)) | ~hBOOL(hAPP(hAPP(_u10419, _u10417), _u10418)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10420, tc_fun(_u10421, tc_HOL_Obool))), _u10416), _u10419), _u10417), _u10418)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_inf2E ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_inf2E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10422, tc_fun(_u10423, tc_HOL_Obool))), _u10424), _u10425), _u10426), _u10427)) | hBOOL(hAPP(hAPP(_u10424, _u10426), _u10427)) )).
% 12.53/12.72 cnf(fact_inf2E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10422, tc_fun(_u10423, tc_HOL_Obool))), _u10424), _u10425), _u10426), _u10427)) | hBOOL(hAPP(hAPP(_u10425, _u10426), _u10427)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_bot2E ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_bot2E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u10428, tc_fun(_u10429, tc_HOL_Obool))), _u10430), _u10431)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INF1__iff ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INF1__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10439, tc_fun(_u10441, tc_HOL_Obool)), _u10443), _u10445), _u10447)) | ~hBOOL(hAPP(hAPP(c_member(_u10439), _u10432), _u10443)) | hBOOL(hAPP(hAPP(_u10445, _u10432), _u10447)) )).
% 12.53/12.72 cnf(fact_INF1__iff-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10440, tc_fun(_u10442, tc_HOL_Obool)), _u10444), _u10446), _u10448)) | hBOOL(hAPP(hAPP(c_member(_u10440), skolem258(_u10448, _u10446, _u10444, _u10442, _u10440)), _u10444)) )).
% 12.53/12.72 cnf(fact_INF1__iff-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10440, tc_fun(_u10442, tc_HOL_Obool)), _u10444), _u10446), _u10448)) | ~hBOOL(hAPP(hAPP(_u10446, skolem258(_u10448, _u10446, _u10444, _u10442, _u10440)), _u10448)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_INF2__iff ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_INF2__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10458, tc_fun(_u10460, tc_fun(_u10462, tc_HOL_Obool))), _u10464), _u10466), _u10468), _u10470)) | ~hBOOL(hAPP(hAPP(c_member(_u10458), _u10449), _u10464)) | hBOOL(hAPP(hAPP(hAPP(_u10466, _u10449), _u10468), _u10470)) )).
% 12.53/12.72 cnf(fact_INF2__iff-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10459, tc_fun(_u10461, tc_fun(_u10463, tc_HOL_Obool))), _u10465), _u10467), _u10469), _u10471)) | hBOOL(hAPP(hAPP(c_member(_u10459), skolem259(_u10471, _u10469, _u10467, _u10465, _u10463, _u10461, _u10459)), _u10465)) )).
% 12.53/12.72 cnf(fact_INF2__iff-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10459, tc_fun(_u10461, tc_fun(_u10463, tc_HOL_Obool))), _u10465), _u10467), _u10469), _u10471)) | ~hBOOL(hAPP(hAPP(hAPP(_u10467, skolem259(_u10471, _u10469, _u10467, _u10465, _u10463, _u10461, _u10459)), _u10469), _u10471)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_SUP2__iff ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_SUP2__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10481, tc_fun(_u10483, tc_fun(_u10485, tc_HOL_Obool))), _u10487), _u10489), _u10491), _u10493)) | hBOOL(hAPP(hAPP(c_member(_u10481), skolem260(_u10493, _u10491, _u10489, _u10487, _u10485, _u10483, _u10481)), _u10487)) )).
% 12.53/12.72 cnf(fact_SUP2__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10481, tc_fun(_u10483, tc_fun(_u10485, tc_HOL_Obool))), _u10487), _u10489), _u10491), _u10493)) | hBOOL(hAPP(hAPP(hAPP(_u10489, skolem260(_u10493, _u10491, _u10489, _u10487, _u10485, _u10483, _u10481)), _u10491), _u10493)) )).
% 12.53/12.72 cnf(fact_SUP2__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10482), _u10473), _u10488)) | ~hBOOL(hAPP(hAPP(hAPP(_u10490, _u10473), _u10492), _u10494)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10482, tc_fun(_u10484, tc_fun(_u10486, tc_HOL_Obool))), _u10488), _u10490), _u10492), _u10494)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_rev__predicate2D ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_rev__predicate2D-1, axiom, ( ~hBOOL(hAPP(hAPP(_u10495, _u10496), _u10497)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10498, tc_fun(_u10499, tc_HOL_Obool))), _u10495), _u10500)) | hBOOL(hAPP(hAPP(_u10500, _u10496), _u10497)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_predicate2D ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_predicate2D-1, axiom, ( ~hBOOL(hAPP(hAPP(_u10503, _u10505), _u10506)) | hBOOL(hAPP(hAPP(_u10504, _u10505), _u10506)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10501, tc_fun(_u10502, tc_HOL_Obool))), _u10503), _u10504)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_less__by__empty ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_less__by__empty-1, axiom, ( ( _u10507 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u10508, _u10508), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u10508, _u10508), tc_HOL_Obool)), _u10507), _u10509)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_inf2D1 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_inf2D1-1, axiom, ( hBOOL(hAPP(hAPP(_u10512, _u10514), _u10515)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10510, tc_fun(_u10511, tc_HOL_Obool))), _u10512), _u10513), _u10514), _u10515)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_inf2D2 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_inf2D2-1, axiom, ( hBOOL(hAPP(hAPP(_u10519, _u10520), _u10521)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10516, tc_fun(_u10517, tc_HOL_Obool))), _u10518), _u10519), _u10520), _u10521)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_sup2I2 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_sup2I2-1, axiom, ( ~hBOOL(hAPP(hAPP(_u10522, _u10523), _u10524)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10525, tc_fun(_u10526, tc_HOL_Obool))), _u10527), _u10522), _u10523), _u10524)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_sup2I1 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_sup2I1-1, axiom, ( ~hBOOL(hAPP(hAPP(_u10528, _u10529), _u10530)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10531, tc_fun(_u10532, tc_HOL_Obool))), _u10528), _u10533), _u10529), _u10530)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_nat__case__0 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_nat__case__0-1, axiom, ( ( c_Nat_Onat_Onat__case(_u10534, _u10535, _u10536, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u10535) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_nat__case__Suc ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_nat__case__Suc-1, axiom, ( ( c_Nat_Onat_Onat__case(_u10537, _u10538, _u10539, hAPP(c_Nat_OSuc, _u10540)) = hAPP(_u10539, _u10540)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_posDivAlg__0 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_posDivAlg__0-1, axiom, ( ( c_Divides_OposDivAlg(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u10541) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_max__Suc1 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_max__Suc1-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10542)), _u10543) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10542), 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), _u10542)), _u10543)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_max__Suc2 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_max__Suc2-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u10544), hAPP(c_Nat_OSuc, _u10545)) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10545), 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)), _u10545)), _u10544)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_less__eq__nat_Osimps_I2_J ( axiom ) converted to clauses:
% 12.53/12.72 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, _u10548)), _u10550)) | hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10548), _u10550)) )).
% 12.53/12.72 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), _u10549), _u10551)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10549)), _u10551)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_diff__Suc ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_diff__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10552), hAPP(c_Nat_OSuc, _u10553)) = 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), _u10552), _u10553))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__Suc2 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__Suc2-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u10554), hAPP(c_Nat_OSuc, _u10555)) = 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)), _u10555)), _u10554)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__Suc1 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__Suc1-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10556)), _u10557) = 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), _u10556)), _u10557)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_posDivAlg__div__mod ( axiom ) converted to clauses:
% 12.53/12.72 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)), _u10558)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10559)) | ( c_Divides_OposDivAlg(_u10558, _u10559) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10558), _u10559)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10558, _u10559))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_nat__case__number__of ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_nat__case__number__of-1, axiom, ( ( c_Nat_Onat_Onat__case(_u10560, _u10561, _u10562, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10563)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u10560), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10563))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10560, _u10560), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u10560, tc_fun(_u10560, _u10560)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10560, tc_fun(_u10560, _u10560)), tc_Int_Oint), c_If(_u10560)), c_Nat__Numeral_Oneg)), _u10561)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10560, tc_Int_Oint), _u10562), c_Int_Onat)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_posDivAlg__eqn ( axiom ) converted to clauses:
% 12.53/12.72 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)), _u10564)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10565), _u10564)) | ( c_Divides_OposDivAlg(_u10565, _u10564) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10565)) )).
% 12.53/12.72 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)), _u10564)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10565), _u10564)) | ( c_Divides_OposDivAlg(_u10565, _u10564) = hAPP(c_Divides_Oadjust(_u10564), c_Divides_OposDivAlg(_u10565, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u10564)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_posDivAlg__eqn__number__of ( axiom ) converted to clauses:
% 12.53/12.72 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), _u10566))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10567)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10566))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10567), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10566)) = 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), _u10567))) )).
% 12.53/12.72 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), _u10566))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10567)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10566))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10567), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10566)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10566)), c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10567), hAPP(hAPP(c_Groups_Otimes__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), _u10566))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_in__rel__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_in__rel__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u10573, _u10575, _u10577), _u10579), _u10581)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10573, _u10575)), hAPP(hAPP(c_Product__Type_OPair(_u10573, _u10575), _u10579), _u10581)), _u10577)) )).
% 12.53/12.72 cnf(fact_in__rel__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10574, _u10576)), hAPP(hAPP(c_Product__Type_OPair(_u10574, _u10576), _u10580), _u10582)), _u10578)) | hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u10574, _u10576, _u10578), _u10580), _u10582)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_div__mod__code__numeral__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_div__mod__code__numeral__def-1, axiom, ( ( c_Code__Numeral_Odiv__mod__code__numeral(_u10583, _u10584) = 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), _u10583), _u10584)), c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u10583, _u10584))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Nitpick_Orefl_H__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Nitpick_Orefl_H__def-1, axiom, ( ~c_Nitpick_Orefl_H(_u10589, _u10591) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10589, _u10589)), hAPP(hAPP(c_Product__Type_OPair(_u10589, _u10589), _u10585), _u10585)), _u10591)) )).
% 12.53/12.72 cnf(fact_Nitpick_Orefl_H__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10590, _u10590)), hAPP(hAPP(c_Product__Type_OPair(_u10590, _u10590), skolem261(_u10592, _u10590)), skolem261(_u10592, _u10590))), _u10592)) | c_Nitpick_Orefl_H(_u10590, _u10592) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_adjust__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_adjust__def-1, axiom, ( ( c_Divides_Oadjust(_u10593) = 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)), _u10593))))), 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)), _u10593))))), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_Int_Oint), c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint)), hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_divmod__nat__step ( axiom ) converted to clauses:
% 12.53/12.72 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)), _u10594)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10594), _u10595)) | ( c_Divides_Odivmod__nat(_u10595, _u10594) = 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), _u10595), _u10594)), _u10594))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10595), _u10594), _u10594))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_nat__rec__add__eq__if ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_nat__rec__add__eq__if-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u10596, _u10597, _u10598), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10599)), _u10600)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u10596), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10599))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10596, _u10596), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u10596, tc_fun(_u10596, _u10596)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10596, tc_fun(_u10596, _u10596)), tc_Int_Oint), c_If(_u10596)), c_Nat__Numeral_Oneg)), hAPP(c_Nat_Onat_Onat__rec(_u10596, _u10597, _u10598), _u10600))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10596, _u10596), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u10596, _u10596), tc_Int_Oint), _u10598), 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)), _u10600))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10596, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u10596, _u10597, _u10598)), 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)), _u10600)))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_nat__rec__0 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_nat__rec__0-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u10601, _u10602, _u10603), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u10602) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_nat__rec__Suc ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_nat__rec__Suc-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u10604, _u10605, _u10606), hAPP(c_Nat_OSuc, _u10607)) = hAPP(hAPP(_u10606, _u10607), hAPP(c_Nat_Onat_Onat__rec(_u10604, _u10605, _u10606), _u10607))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_divmod__nat__zero ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_divmod__nat__zero-1, axiom, ( ( c_Divides_Odivmod__nat(_u10608, 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)), _u10608)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_divmod__nat__base ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_divmod__nat__base-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10609), _u10610)) | ( c_Divides_Odivmod__nat(_u10609, _u10610) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10609)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_divmod__nat__div__mod ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_divmod__nat__div__mod-1, axiom, ( ( c_Divides_Odivmod__nat(_u10611, _u10612) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u10611), _u10612)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10611, _u10612))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_nat__rec__number__of ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_nat__rec__number__of-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u10613, _u10614, _u10615), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10616)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u10613), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10616))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10613, _u10613), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u10613, tc_fun(_u10613, _u10613)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10613, tc_fun(_u10613, _u10613)), tc_Int_Oint), c_If(_u10613)), c_Nat__Numeral_Oneg)), _u10614)), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10613, _u10613), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u10613, _u10613), tc_Int_Oint), _u10615), c_Int_Onat)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10613, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u10613, _u10614, _u10615)), c_Int_Onat))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_pair__imageI ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_pair__imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10617, _u10618)), hAPP(hAPP(c_Product__Type_OPair(_u10617, _u10618), _u10619), _u10620)), _u10621)) | hBOOL(hAPP(hAPP(c_member(_u10622), hAPP(hAPP(_u10623, _u10619), _u10620)), hAPP(c_Set_Oimage(tc_prod(_u10617, _u10618), _u10622, hAPP(c_Product__Type_Oprod_Oprod__case(_u10617, _u10618, _u10622), _u10623)), _u10621))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_of__int__num ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_of__int__num-1, axiom, ( ~class_Rings_Oring__1(_u10624) | ( _u10625 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u10624), _u10625) = c_Groups_Ozero__class_Ozero(_u10624)) )).
% 12.53/12.72 cnf(fact_of__int__num-2, axiom, ( ~class_Rings_Oring__1(_u10624) | ( _u10625 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10625), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u10624), _u10625) = hAPP(c_Groups_Ouminus__class_Ouminus(_u10624), hAPP(c_Int_Oring__1__class_Oof__int(_u10624), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10625)))) )).
% 12.53/12.72 cnf(fact_of__int__num-3, axiom, ( ~class_Rings_Oring__1(_u10624) | ( _u10625 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10625), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u10624), _u10625) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, _u10624), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_fun(_u10624, _u10624)), tc_fun(tc_Int_Oint, _u10624)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u10624, _u10624), _u10624), tc_fun(tc_fun(tc_Int_Oint, tc_fun(_u10624, _u10624)), tc_fun(tc_Int_Oint, _u10624)), tc_Int_Oint), c_COMBB(tc_fun(_u10624, _u10624), _u10624, tc_Int_Oint)), hAPP(hAPP(c_COMBB(_u10624, tc_fun(tc_fun(_u10624, _u10624), _u10624), tc_Int_Oint), c_HOL_OLet(_u10624, _u10624)), c_Int_Oring__1__class_Oof__int(_u10624)))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u10624, _u10624), tc_fun(_u10624, _u10624)), hAPP(hAPP(c_COMBB(tc_fun(_u10624, tc_fun(_u10624, _u10624)), tc_fun(tc_fun(_u10624, _u10624), tc_fun(_u10624, _u10624)), tc_Int_Oint), c_COMBS(_u10624, _u10624, _u10624)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u10624, _u10624), tc_fun(_u10624, tc_fun(_u10624, _u10624))), hAPP(hAPP(c_COMBB(tc_fun(_u10624, tc_fun(_u10624, _u10624)), tc_fun(tc_fun(_u10624, _u10624), tc_fun(_u10624, tc_fun(_u10624, _u10624))), tc_Int_Oint), c_COMBB(_u10624, tc_fun(_u10624, _u10624), _u10624)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10624, tc_fun(_u10624, _u10624)), tc_Int_Oint), c_If(_u10624)), 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(_u10624, _u10624, _u10624), c_Groups_Oplus__class_Oplus(_u10624)), c_COMBI(_u10624))))), hAPP(hAPP(c_COMBC(_u10624, _u10624, _u10624), hAPP(hAPP(c_COMBB(_u10624, tc_fun(_u10624, _u10624), _u10624), c_Groups_Oplus__class_Oplus(_u10624)), hAPP(hAPP(c_COMBS(_u10624, _u10624, _u10624), c_Groups_Oplus__class_Oplus(_u10624)), c_COMBI(_u10624)))), c_Groups_Oone__class_Oone(_u10624))))), c_Divides_Odivmod__int(_u10625, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_semiring__1__class_Oof__nat__code ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_semiring__1__class_Oof__nat__code-1, axiom, ( ~class_Rings_Osemiring__1(_u10626) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10626), _u10627) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u10626, hAPP(hAPP(c_COMBC(_u10626, _u10626, _u10626), c_Groups_Oplus__class_Oplus(_u10626)), c_Groups_Oone__class_Oone(_u10626)), _u10627, c_Groups_Ozero__class_Ozero(_u10626))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_splitI ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_splitI-1, axiom, ( ~hBOOL(hAPP(hAPP(_u10628, _u10629), _u10630)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10631, _u10632, tc_HOL_Obool), _u10628), hAPP(hAPP(c_Product__Type_OPair(_u10631, _u10632), _u10629), _u10630))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_prod__caseI ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_prod__caseI-1, axiom, ( ~hBOOL(hAPP(hAPP(_u10633, _u10634), _u10635)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10636, _u10637, tc_HOL_Obool), _u10633), hAPP(hAPP(c_Product__Type_OPair(_u10636, _u10637), _u10634), _u10635))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_mem__splitI ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_mem__splitI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10638), _u10639), hAPP(hAPP(_u10640, _u10641), _u10642))) | hBOOL(hAPP(hAPP(c_member(_u10638), _u10639), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10643, _u10644, tc_fun(_u10638, tc_HOL_Obool)), _u10640), hAPP(hAPP(c_Product__Type_OPair(_u10643, _u10644), _u10641), _u10642)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_splitD ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_splitD-1, axiom, ( hBOOL(hAPP(hAPP(_u10647, _u10648), _u10649)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10645, _u10646, tc_HOL_Obool), _u10647), hAPP(hAPP(c_Product__Type_OPair(_u10645, _u10646), _u10648), _u10649))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_splitD_H ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_splitD_H-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(_u10653, _u10654), _u10655), _u10656)) | ~hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10650, _u10651, tc_fun(_u10652, tc_HOL_Obool)), _u10653), hAPP(hAPP(c_Product__Type_OPair(_u10650, _u10651), _u10654), _u10655)), _u10656)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_of__nat__aux_Osimps_I1_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_of__nat__aux_Osimps_I1_J-1, axiom, ( ~class_Rings_Osemiring__1(_u10657) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u10657, _u10658, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10659) = _u10659) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_of__nat__aux_Osimps_I2_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_of__nat__aux_Osimps_I2_J-1, axiom, ( ~class_Rings_Osemiring__1(_u10660) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u10660, _u10661, hAPP(c_Nat_OSuc, _u10662), _u10663) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u10660, _u10661, _u10662, hAPP(_u10661, _u10663))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_split__paired__All ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_split__paired__All-1, axiom, ( ~hBOOL(hAPP(_u10673, skolem262(_u10677, _u10675, _u10673))) | hBOOL(hAPP(_u10673, hAPP(hAPP(c_Product__Type_OPair(_u10675, _u10677), _u10666), _u10665))) )).
% 12.53/12.72 cnf(fact_split__paired__All-2, axiom, ( ~hBOOL(hAPP(_u10674, hAPP(hAPP(c_Product__Type_OPair(_u10676, _u10678), skolem263(_u10678, _u10676, _u10674)), skolem264(_u10678, _u10676, _u10674)))) | hBOOL(hAPP(_u10674, _u10669)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Pair__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Pair__eq-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u10685, _u10687), _u10689), _u10691) != hAPP(hAPP(c_Product__Type_OPair(_u10685, _u10687), _u10693), _u10695)) | ( _u10689 = _u10693) )).
% 12.53/12.72 cnf(fact_Pair__eq-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u10685, _u10687), _u10689), _u10691) != hAPP(hAPP(c_Product__Type_OPair(_u10685, _u10687), _u10693), _u10695)) | ( _u10691 = _u10695) )).
% 12.53/12.72 cnf(fact_Pair__eq-3, axiom, ( ( _u10690 != _u10694) | ( _u10692 != _u10696) | ( hAPP(hAPP(c_Product__Type_OPair(_u10686, _u10688), _u10690), _u10692) = hAPP(hAPP(c_Product__Type_OPair(_u10686, _u10688), _u10694), _u10696)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Pair__inject ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Pair__inject-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u10697, _u10698), _u10699), _u10700) != hAPP(hAPP(c_Product__Type_OPair(_u10697, _u10698), _u10701), _u10702)) | ( _u10699 = _u10701) )).
% 12.53/12.72 cnf(fact_Pair__inject-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u10697, _u10698), _u10699), _u10700) != hAPP(hAPP(c_Product__Type_OPair(_u10697, _u10698), _u10701), _u10702)) | ( _u10700 = _u10702) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_split__weak__cong ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_split__weak__cong-1, axiom, ( ( _u10703 != _u10704) | ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10705, _u10706, _u10707), _u10708), _u10703) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10705, _u10706, _u10707), _u10708), _u10704)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_divmod__int__mod__div ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_divmod__int__mod__div-1, axiom, ( ( c_Divides_Odivmod__int(_u10709, _u10710) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10709), _u10710)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10709, _u10710))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_prod_Osimps_I2_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_prod_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10711, _u10712, _u10713), _u10714), hAPP(hAPP(c_Product__Type_OPair(_u10711, _u10712), _u10715), _u10716)) = hAPP(hAPP(_u10714, _u10715), _u10716)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_split__conv ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_split__conv-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10717, _u10718, _u10719), _u10720), hAPP(hAPP(c_Product__Type_OPair(_u10717, _u10718), _u10721), _u10722)) = hAPP(hAPP(_u10720, _u10721), _u10722)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_divmod__nat__if ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_divmod__nat__if-1, axiom, ( ( c_Divides_Odivmod__nat(_u10727, _u10725) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10727)) | ( _u10725 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.72 cnf(fact_divmod__nat__if-2, axiom, ( ( c_Divides_Odivmod__nat(_u10727, _u10725) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10727)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10727), _u10725)) )).
% 12.53/12.72 cnf(fact_divmod__nat__if-3, axiom, ( ( _u10726 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10728), _u10726)) | ( c_Divides_Odivmod__nat(_u10728, _u10726) = 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), _u10728), _u10726), _u10726))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_split__eta ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_split__eta-1, axiom, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u10729, _u10730, _u10731), hAPP(hAPP(c_COMBB(tc_fun(_u10730, tc_prod(_u10729, _u10730)), tc_fun(_u10730, _u10731), _u10729), hAPP(c_COMBB(tc_prod(_u10729, _u10730), _u10731, _u10730), _u10732)), c_Product__Type_OPair(_u10729, _u10730))) = _u10732) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_split__twice ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_split__twice-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10733, _u10734, _u10735), _u10736), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10737, _u10738, tc_prod(_u10733, _u10734)), _u10739), _u10740)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10737, _u10738, _u10735), hAPP(hAPP(c_COMBB(tc_fun(_u10738, tc_prod(_u10733, _u10734)), tc_fun(_u10738, _u10735), _u10737), hAPP(c_COMBB(tc_prod(_u10733, _u10734), _u10735, _u10738), hAPP(c_Product__Type_Oprod_Oprod__case(_u10733, _u10734, _u10735), _u10736))), _u10739)), _u10740)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Nitpick_OFrac__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Nitpick_OFrac__def-1, axiom, ( ( c_Nitpick_OFrac = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_Int_Oint), hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), tc_fun(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), tc_Int_Oint), c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), tc_Int_Oint), hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_Int_Oint), c_fequal)), c_Nitpick_Oint__gcd))), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_divmod__int__def ( axiom ) converted to clauses:
% 12.53/12.72 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)), _u10743)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10745)) | ( c_Divides_Odivmod__int(_u10743, _u10745) = c_Divides_OposDivAlg(_u10743, _u10745)) )).
% 12.53/12.72 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)), _u10743)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10745)) | ( _u10743 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u10743, _u10745) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.72 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)), _u10743)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10745)) | ( _u10743 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u10743, _u10745) = hAPP(c_Divides_OnegateSnd, c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10743), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10745)))) )).
% 12.53/12.72 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)), _u10744)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10746)) | ( c_Divides_Odivmod__int(_u10744, _u10746) = c_Divides_OnegDivAlg(_u10744, _u10746)) )).
% 12.53/12.72 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)), _u10744)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10746)) | ( c_Divides_Odivmod__int(_u10744, _u10746) = hAPP(c_Divides_OnegateSnd, c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10744), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10746)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_divmod__int__pdivmod ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_divmod__int__pdivmod-1, axiom, ( ( _u10749 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u10749, _u10751) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.72 cnf(fact_divmod__int__pdivmod-2, axiom, ( ( _u10750 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10752 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u10750, _u10752) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10750)) )).
% 12.53/12.72 cnf(fact_divmod__int__pdivmod-3, axiom, ( ( _u10750 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10752 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u10750, _u10752) = 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, _u10752))), 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)), _u10752)), hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10750))), hAPP(hAPP(c_fconj, hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10752), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10750), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), c_Divides_Opdivmod(_u10750, _u10752)), 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), _u10752))))), c_Divides_Opdivmod(_u10750, _u10752))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_apsnd__conv ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_apsnd__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u10753, _u10754, _u10755, _u10756), hAPP(hAPP(c_Product__Type_OPair(_u10755, _u10753), _u10757), _u10758)) = hAPP(hAPP(c_Product__Type_OPair(_u10755, _u10754), _u10757), hAPP(_u10756, _u10758))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_negateSnd__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_negateSnd__def-1, axiom, ( ( c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_negateSnd__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_negateSnd__eq-1, axiom, ( ( hAPP(c_Divides_OnegateSnd, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10759), _u10760)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10759), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10760))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_pdivmod__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_pdivmod__def-1, axiom, ( ( c_Divides_Opdivmod(_u10761, _u10762) = 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), _u10761)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u10762))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u10761), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u10762)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_pdivmod__posDivAlg ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_pdivmod__posDivAlg-1, axiom, ( ( _u10765 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u10767, _u10765) = 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), _u10767))) )).
% 12.53/12.72 cnf(fact_pdivmod__posDivAlg-2, axiom, ( ( _u10766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u10768, _u10766) = c_Divides_OposDivAlg(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u10768), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u10766))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_divmod__int__code ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_divmod__int__code-1, axiom, ( ( _u10771 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u10771, _u10773) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.72 cnf(fact_divmod__int__code-2, axiom, ( ( _u10772 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10774 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u10772, _u10774) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10772)) )).
% 12.53/12.72 cnf(fact_divmod__int__code-3, axiom, ( ( _u10772 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10774 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u10772, _u10774) = 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, _u10774))), 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, _u10772)), c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u10774))), c_Divides_Opdivmod(_u10772, _u10774)), 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), _u10774))))), c_Divides_Opdivmod(_u10772, _u10774))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Nitpick_Oprod__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Nitpick_Oprod__def-1, axiom, ( ( c_Nitpick_Oprod(_u10775, _u10776, _u10777, _u10778) = hAPP(c_Set_OCollect(tc_prod(_u10775, _u10776)), hAPP(c_Product__Type_Oprod_Oprod__case(_u10775, _u10776, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u10775, tc_fun(_u10776, tc_HOL_Obool), tc_fun(_u10776, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u10776, tc_HOL_Obool), tc_fun(_u10776, tc_HOL_Obool)), _u10775), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u10776)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10775), c_fconj), hAPP(hAPP(c_COMBC(_u10775, tc_fun(_u10775, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10775)), _u10777)))), hAPP(hAPP(c_COMBC(_u10776, tc_fun(_u10776, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10776)), _u10778))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_int__ge__less__than2__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_int__ge__less__than2__def-1, axiom, ( ( c_Int_Oint__ge__less__than2(_u10779) = 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), _u10779)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_int__ge__less__than__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_int__ge__less__than__def-1, axiom, ( ( c_Int_Oint__ge__less__than(_u10780) = 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), _u10780)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_divmod__nat__rel__mult1__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_divmod__nat__rel__mult1__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10781, _u10782), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u10783), _u10784))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10782)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10785), _u10781), _u10782), 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), _u10785), _u10783)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10785), _u10784)), _u10782))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10785), _u10784), _u10782)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_divmod__nat__rel__mult2__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_divmod__nat__rel__mult2__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10786, _u10787), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u10788), _u10789))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10787)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10790)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10786, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10787), _u10790)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u10788), _u10790)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10787), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10788, _u10790))), _u10789)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_pair__box_Osize_I2_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_pair__box_Osize_I2_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(_u10791, _u10792)), c_Nitpick_Opair__box_OPairBox(_u10791, _u10792, _u10793, _u10794)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_divmod__nat__rel__unique ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_divmod__nat__rel__unique-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10795, _u10796), _u10797)) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10795, _u10796), _u10798)) | ( _u10797 = _u10798) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_divmod__nat__rel__divmod__nat ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_divmod__nat__rel__divmod__nat-1, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10799, _u10800), c_Divides_Odivmod__nat(_u10799, _u10800))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_divmod__nat__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_divmod__nat__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10801, _u10802), _u10803)) | ( c_Divides_Odivmod__nat(_u10801, _u10802) = _u10803) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_mod__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_mod__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10804, _u10805), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u10806), _u10807))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10804, _u10805) = _u10807) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_div__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_div__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10808, _u10809), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u10810), _u10811))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u10808), _u10809) = _u10810) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_divmod__nat__rel ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_divmod__nat__rel-1, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10812, _u10813), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u10812), _u10813)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10812, _u10813)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_divmod__nat__rel__add1__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_divmod__nat__rel__add1__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10814, _u10815), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u10816), _u10817))) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10818, _u10815), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u10819), _u10820))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10815)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10814), _u10818), _u10815), 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), _u10816), _u10819)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10817), _u10820)), _u10815))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10817), _u10820), _u10815)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_pair__box_Orecs ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_pair__box_Orecs-1, axiom, ( ( c_Nitpick_Opair__box_Opair__box__rec(_u10821, _u10822, _u10823, _u10824, c_Nitpick_Opair__box_OPairBox(_u10821, _u10822, _u10825, _u10826)) = hAPP(hAPP(_u10824, _u10825), _u10826)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_pair__box_Osimps_I2_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_pair__box_Osimps_I2_J-1, axiom, ( ( c_Nitpick_Opair__box_Opair__box__case(_u10827, _u10828, _u10829, _u10830, c_Nitpick_Opair__box_OPairBox(_u10827, _u10828, _u10831, _u10832)) = hAPP(hAPP(_u10830, _u10831), _u10832)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_negDivAlg_Opsimps ( axiom ) converted to clauses:
% 12.53/12.72 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), _u10833), _u10834))) | ( c_Divides_OnegDivAlg(_u10833, _u10834) = 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), _u10833), _u10834))) | ~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), _u10833), _u10834))) )).
% 12.53/12.72 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), _u10833), _u10834))) | ( c_Divides_OnegDivAlg(_u10833, _u10834) = 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), _u10833), _u10834))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10834), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.72 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), _u10833), _u10834))) | 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), _u10833), _u10834))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10834), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u10833, _u10834) = hAPP(c_Divides_Oadjust(_u10834), c_Divides_OnegDivAlg(_u10833, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u10834)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_accp__downward ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_accp__downward-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u10835, _u10836), _u10837)) | ~hBOOL(hAPP(hAPP(_u10836, _u10838), _u10837)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u10835, _u10836), _u10838)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_accp_Oequations ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_accp_Oequations-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u10844, _u10846), _u10848)) | ~hBOOL(hAPP(hAPP(_u10846, _u10839), _u10848)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u10844, _u10846), _u10839)) )).
% 12.53/12.72 cnf(fact_accp_Oequations-2, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u10845, _u10847), _u10849)) | hBOOL(hAPP(hAPP(_u10847, skolem265(_u10849, _u10847, _u10845)), _u10849)) )).
% 12.53/12.72 cnf(fact_accp_Oequations-3, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u10845, _u10847), _u10849)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u10845, _u10847), skolem265(_u10849, _u10847, _u10845))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_accp_Osimps ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_accp_Osimps-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u10855, _u10857), _u10859)) | ~hBOOL(hAPP(hAPP(_u10857, _u10850), _u10859)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u10855, _u10857), _u10850)) )).
% 12.53/12.72 cnf(fact_accp_Osimps-2, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u10856, _u10858), _u10860)) | hBOOL(hAPP(hAPP(_u10858, skolem266(_u10860, _u10858, _u10856)), _u10860)) )).
% 12.53/12.72 cnf(fact_accp_Osimps-3, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u10856, _u10858), _u10860)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u10856, _u10858), skolem266(_u10860, _u10858, _u10856))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_accp__subset ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_accp__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10861, tc_fun(_u10861, tc_HOL_Obool))), _u10862), _u10863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10861, tc_HOL_Obool)), c_Wellfounded_Oaccp(_u10861, _u10863)), c_Wellfounded_Oaccp(_u10861, _u10862))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_posDivAlg_Opsimps ( axiom ) converted to clauses:
% 12.53/12.72 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), _u10864), _u10865))) | ( c_Divides_OposDivAlg(_u10864, _u10865) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10864)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10864), _u10865)) )).
% 12.53/12.72 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), _u10864), _u10865))) | ( c_Divides_OposDivAlg(_u10864, _u10865) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10864)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10865), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.72 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), _u10864), _u10865))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10864), _u10865)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10865), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u10864, _u10865) = hAPP(c_Divides_Oadjust(_u10865), c_Divides_OposDivAlg(_u10864, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u10865)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_norm__frac_Opsimps ( axiom ) converted to clauses:
% 12.53/12.72 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), _u10866), _u10867))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10867), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u10866, _u10867) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10866), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10867))) )).
% 12.53/12.72 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), _u10866), _u10867))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10867), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u10866, _u10867) = 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))) | ( _u10866 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.72 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), _u10866), _u10867))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10867), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u10866, _u10867) = 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))) | ( _u10867 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.72 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), _u10866), _u10867))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10867), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u10866 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10867 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u10866, _u10867) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u10866), _u10867)), 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), _u10866))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10867)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_negDivAlg_Opinduct ( axiom ) converted to clauses:
% 12.53/12.72 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), _u10870), _u10871))) | hBOOL(hAPP(hAPP(_u10872, _u10870), _u10871)) | 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), skolem267(_u10872, _u10871, _u10870)), skolem268(_u10872, _u10871, _u10870)))) )).
% 12.53/12.72 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), _u10870), _u10871))) | hBOOL(hAPP(hAPP(_u10872, _u10870), _u10871)) | 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), skolem267(_u10872, _u10871, _u10870)), skolem268(_u10872, _u10871, _u10870)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem268(_u10872, _u10871, _u10870)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u10872, skolem267(_u10872, _u10871, _u10870)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), skolem268(_u10872, _u10871, _u10870)))) )).
% 12.53/12.72 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), _u10870), _u10871))) | hBOOL(hAPP(hAPP(_u10872, _u10870), _u10871)) | ~hBOOL(hAPP(hAPP(_u10872, skolem267(_u10872, _u10871, _u10870)), skolem268(_u10872, _u10871, _u10870))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_posDivAlg_Opinduct ( axiom ) converted to clauses:
% 12.53/12.72 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), _u10875), _u10876))) | hBOOL(hAPP(hAPP(_u10877, _u10875), _u10876)) | 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), skolem269(_u10877, _u10876, _u10875)), skolem270(_u10877, _u10876, _u10875)))) )).
% 12.53/12.72 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), _u10875), _u10876))) | hBOOL(hAPP(hAPP(_u10877, _u10875), _u10876)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem269(_u10877, _u10876, _u10875)), skolem270(_u10877, _u10876, _u10875))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem270(_u10877, _u10876, _u10875)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u10877, skolem269(_u10877, _u10876, _u10875)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), skolem270(_u10877, _u10876, _u10875)))) )).
% 12.53/12.72 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), _u10875), _u10876))) | hBOOL(hAPP(hAPP(_u10877, _u10875), _u10876)) | ~hBOOL(hAPP(hAPP(_u10877, skolem269(_u10877, _u10876, _u10875)), skolem270(_u10877, _u10876, _u10875))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_nat__gcd_Opsimps ( axiom ) converted to clauses:
% 12.53/12.72 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), _u10878), _u10879))) | ( _u10879 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u10878, _u10879) = _u10878) )).
% 12.53/12.72 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), _u10878), _u10879))) | ( _u10879 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u10878, _u10879) = c_Nitpick_Onat__gcd(_u10879, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10878, _u10879))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_zmult2__lemma ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_zmult2__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10880, _u10881), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10882), _u10883))) | ( _u10881 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10884)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10880, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10881), _u10884)), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10882), _u10884)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10881), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10882, _u10884))), _u10883)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_divmod__int__rel__0 ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_divmod__int__rel__0-1, axiom, ( ( _u10885 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u10885), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_self__remainder ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_self__remainder-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10886, _u10886), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10887), _u10888))) | ( _u10886 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10888 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_unique__quotient ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_unique__quotient-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10889, _u10890), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10891), _u10892))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10889, _u10890), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10893), _u10894))) | ( _u10890 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10891 = _u10893) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_unique__remainder ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_unique__remainder-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10895, _u10896), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10897), _u10898))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10895, _u10896), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10899), _u10900))) | ( _u10896 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10898 = _u10900) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_divmod__int__rel__neg ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_divmod__int__rel__neg-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10901), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10902)), _u10903)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10901, _u10902), hAPP(c_Divides_OnegateSnd, _u10903))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_divmod__int__correct ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_divmod__int__correct-1, axiom, ( ( _u10904 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10905, _u10904), c_Divides_Odivmod__int(_u10905, _u10904))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_self__quotient ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_self__quotient-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10906, _u10906), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10907), _u10908))) | ( _u10906 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10907 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_divmod__int__rel__mod ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_divmod__int__rel__mod-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10909, _u10910), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10911), _u10912))) | ( _u10910 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10909, _u10910) = _u10912) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_divmod__int__rel__div ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_divmod__int__rel__div-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10913, _u10914), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10915), _u10916))) | ( _u10914 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10913), _u10914) = _u10915) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_negDivAlg__correct ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_negDivAlg__correct-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10917), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10918)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10917, _u10918), c_Divides_OnegDivAlg(_u10917, _u10918))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_divmod__int__rel__div__mod ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_divmod__int__rel__div__mod-1, axiom, ( ( _u10919 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10920, _u10919), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10920), _u10919)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10920, _u10919)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_posDivAlg__correct ( axiom ) converted to clauses:
% 12.53/12.72 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)), _u10921)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10922)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10921, _u10922), c_Divides_OposDivAlg(_u10921, _u10922))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_zadd1__lemma ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_zadd1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10923, _u10924), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10925), _u10926))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10927, _u10924), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10928), _u10929))) | ( _u10924 = 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), _u10923), _u10927), _u10924), 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), _u10925), _u10928)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10926), _u10929)), _u10924))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10926), _u10929), _u10924)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_zminus1__lemma ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_zminus1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10930, _u10931), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10932), _u10933))) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10930), _u10931), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u10933), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10932)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10932)), c_Groups_Oone__class_Oone(tc_Int_Oint)))), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u10933), 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), _u10931), _u10933))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_divmod__int__relI ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_divmod__int__relI-1, axiom, ( ( _u10934 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10935), _u10936)), _u10937)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10934, _u10935), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10936), _u10937))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10935)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10935), _u10937)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10937), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.72 cnf(fact_divmod__int__relI-2, axiom, ( ( _u10934 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10935), _u10936)), _u10937)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10934, _u10935), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10936), _u10937))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10937)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10937), _u10935)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10935)) )).
% 12.53/12.72 cnf(fact_divmod__int__relI-3, axiom, ( ( _u10934 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10935), _u10936)), _u10937)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10934, _u10935), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10936), _u10937))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10937)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10937), _u10935)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10935), _u10937)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10937), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_zmult1__lemma ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_zmult1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10938, _u10939), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10940), _u10941))) | ( _u10939 = 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), _u10942), _u10938), _u10939), 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), _u10942), _u10940)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10942), _u10941)), _u10939))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10942), _u10941), _u10939)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_divmod__int__rel__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_divmod__int__rel__def-1, axiom, ( ( c_Divides_Odivmod__int__rel(_u10943, _u10944) = 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, _u10943))), 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), _u10944)))))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10944))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10944))))), 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)), _u10944)))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u10944))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_transfer__int__nat__sum__prod2_I2_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_transfer__int__nat__sum__prod2_I2_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10946, tc_Int_Oint), _u10948), _u10947) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10946, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u10946), c_Int_Onat), _u10948)), _u10947))) | hBOOL(hAPP(hAPP(c_member(_u10946), skolem271(_u10948, _u10947, _u10946)), _u10947)) )).
% 12.53/12.72 cnf(fact_transfer__int__nat__sum__prod2_I2_J-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10946, tc_Int_Oint), _u10948), _u10947) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10946, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u10946), c_Int_Onat), _u10948)), _u10947))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u10948, skolem271(_u10948, _u10947, _u10946))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_mod__pos__neg__1__number__of ( axiom ) converted to clauses:
% 12.53/12.72 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), _u10949)), 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), _u10949)) = 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), _u10949)))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_in__measure ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_in__measure-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u10960, _u10956)), hAPP(_u10960, _u10958))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10954, _u10954)), hAPP(hAPP(c_Product__Type_OPair(_u10954, _u10954), _u10956), _u10958)), hAPP(c_Wellfounded_Omeasure(_u10954), _u10960))) )).
% 12.53/12.72 cnf(fact_in__measure-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u10961, _u10957)), hAPP(_u10961, _u10959))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10955, _u10955)), hAPP(hAPP(c_Product__Type_OPair(_u10955, _u10955), _u10957), _u10959)), hAPP(c_Wellfounded_Omeasure(_u10955), _u10961))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_snd__apsnd ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_snd__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u10962, _u10963), hAPP(c_Product__Type_Oapsnd(_u10964, _u10963, _u10962, _u10965), _u10966)) = hAPP(_u10965, hAPP(c_Product__Type_Osnd(_u10962, _u10964), _u10966))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_apsnd__eq__conv ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_apsnd__eq__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u10973, _u10975, _u10977, _u10979), _u10981) != hAPP(c_Product__Type_Oapsnd(_u10973, _u10975, _u10977, _u10983), _u10981)) | ( hAPP(_u10979, hAPP(c_Product__Type_Osnd(_u10977, _u10973), _u10981)) = hAPP(_u10983, hAPP(c_Product__Type_Osnd(_u10977, _u10973), _u10981))) )).
% 12.53/12.72 cnf(fact_apsnd__eq__conv-2, axiom, ( ( hAPP(_u10980, hAPP(c_Product__Type_Osnd(_u10978, _u10974), _u10982)) != hAPP(_u10984, hAPP(c_Product__Type_Osnd(_u10978, _u10974), _u10982))) | ( hAPP(c_Product__Type_Oapsnd(_u10974, _u10976, _u10978, _u10980), _u10982) = hAPP(c_Product__Type_Oapsnd(_u10974, _u10976, _u10978, _u10984), _u10982)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_snd__conv ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_snd__conv-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u10985, _u10986), hAPP(hAPP(c_Product__Type_OPair(_u10985, _u10986), _u10987), _u10988)) = _u10988) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_snd__eqD ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_snd__eqD-1, axiom, ( ( _u10992 = _u10993) | ( hAPP(c_Product__Type_Osnd(_u10989, _u10990), hAPP(hAPP(c_Product__Type_OPair(_u10989, _u10990), _u10991), _u10992)) != _u10993) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_snd__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_snd__def-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u10994, _u10995), _u10996) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10994, _u10995, _u10995), hAPP(c_COMBK(tc_fun(_u10995, _u10995), _u10994), c_COMBI(_u10995))), _u10996)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_mod__int__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_mod__int__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10997, _u10998) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u10997, _u10998))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_mod__neg__pos ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_mod__neg__pos-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10999), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11000)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10999, _u11000) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u10999, _u11000))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_mod__pos__pos ( axiom ) converted to clauses:
% 12.53/12.72 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)), _u11001)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11002)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11001, _u11002) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u11001, _u11002))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_mod__pos__pos__1__number__of ( axiom ) converted to clauses:
% 12.53/12.72 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), _u11003))) | ( 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), _u11003)) = 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), _u11003)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_mod__pos__neg ( axiom ) converted to clauses:
% 12.53/12.72 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)), _u11004)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11005), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11004, _u11005) = 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), _u11004), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11005))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_mod__neg__neg ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_mod__neg__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11006), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11007), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11006, _u11007) = 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), _u11006), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11007))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_transfer__int__nat__sum__prod2_I1_J ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_transfer__int__nat__sum__prod2_I1_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11009, tc_Int_Oint), _u11011), _u11010) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11009, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u11009), c_Int_Onat), _u11011)), _u11010))) | hBOOL(hAPP(hAPP(c_member(_u11009), skolem272(_u11011, _u11010, _u11009)), _u11010)) )).
% 12.53/12.72 cnf(fact_transfer__int__nat__sum__prod2_I1_J-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11009, tc_Int_Oint), _u11011), _u11010) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11009, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u11009), c_Int_Onat), _u11011)), _u11010))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u11011, skolem272(_u11011, _u11010, _u11009))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_norm__frac_Opinduct ( axiom ) converted to clauses:
% 12.53/12.72 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), _u11014), _u11015))) | hBOOL(hAPP(hAPP(_u11016, _u11014), _u11015)) | 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), skolem273(_u11016, _u11015, _u11014)), skolem274(_u11016, _u11015, _u11014)))) )).
% 12.53/12.72 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), _u11014), _u11015))) | hBOOL(hAPP(hAPP(_u11016, _u11014), _u11015)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem274(_u11016, _u11015, _u11014)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u11016, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem273(_u11016, _u11015, _u11014))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem274(_u11016, _u11015, _u11014)))) )).
% 12.53/12.72 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), _u11014), _u11015))) | hBOOL(hAPP(hAPP(_u11016, _u11014), _u11015)) | ~hBOOL(hAPP(hAPP(_u11016, skolem273(_u11016, _u11015, _u11014)), skolem274(_u11016, _u11015, _u11014))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_div__pos__neg__1__number__of ( axiom ) converted to clauses:
% 12.53/12.72 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), _u11017)), 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), _u11017)) = 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), _u11017)))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Pair__fst__snd__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Pair__fst__snd__eq-1, axiom, ( ( _u11022 != _u11024) | ( hAPP(c_Product__Type_Ofst(_u11026, _u11028), _u11022) = hAPP(c_Product__Type_Ofst(_u11026, _u11028), _u11024)) )).
% 12.53/12.72 cnf(fact_Pair__fst__snd__eq-2, axiom, ( ( _u11022 != _u11024) | ( hAPP(c_Product__Type_Osnd(_u11026, _u11028), _u11022) = hAPP(c_Product__Type_Osnd(_u11026, _u11028), _u11024)) )).
% 12.53/12.72 cnf(fact_Pair__fst__snd__eq-3, axiom, ( ( hAPP(c_Product__Type_Ofst(_u11027, _u11029), _u11023) != hAPP(c_Product__Type_Ofst(_u11027, _u11029), _u11025)) | ( hAPP(c_Product__Type_Osnd(_u11027, _u11029), _u11023) != hAPP(c_Product__Type_Osnd(_u11027, _u11029), _u11025)) | ( _u11023 = _u11025) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_prod__eqI ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_prod__eqI-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u11030, _u11031), _u11032) != hAPP(c_Product__Type_Ofst(_u11030, _u11031), _u11033)) | ( hAPP(c_Product__Type_Osnd(_u11030, _u11031), _u11032) != hAPP(c_Product__Type_Osnd(_u11030, _u11031), _u11033)) | ( _u11032 = _u11033) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_fst__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_fst__def-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u11034, _u11035), _u11036) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11034, _u11035, _u11034), c_COMBK(_u11034, _u11035)), _u11036)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_fst__eqD ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_fst__eqD-1, axiom, ( ( _u11039 = _u11041) | ( hAPP(c_Product__Type_Ofst(_u11037, _u11038), hAPP(hAPP(c_Product__Type_OPair(_u11037, _u11038), _u11039), _u11040)) != _u11041) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_fst__conv ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_fst__conv-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u11042, _u11043), hAPP(hAPP(c_Product__Type_OPair(_u11042, _u11043), _u11044), _u11045)) = _u11044) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_fst__apsnd ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_fst__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u11046, _u11047), hAPP(c_Product__Type_Oapsnd(_u11048, _u11047, _u11046, _u11049), _u11050)) = hAPP(c_Product__Type_Ofst(_u11046, _u11048), _u11050)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_pair__collapse ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_pair__collapse-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u11051, _u11052), hAPP(c_Product__Type_Ofst(_u11051, _u11052), _u11053)), hAPP(c_Product__Type_Osnd(_u11051, _u11052), _u11053)) = _u11053) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_surjective__pairing ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_surjective__pairing-1, axiom, ( ( _u11054 = hAPP(hAPP(c_Product__Type_OPair(_u11055, _u11056), hAPP(c_Product__Type_Ofst(_u11055, _u11056), _u11054)), hAPP(c_Product__Type_Osnd(_u11055, _u11056), _u11054))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_prod__case__beta ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_prod__case__beta-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11057, _u11058, _u11059), _u11060), _u11061) = hAPP(hAPP(_u11060, hAPP(c_Product__Type_Ofst(_u11057, _u11058), _u11061)), hAPP(c_Product__Type_Osnd(_u11057, _u11058), _u11061))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_div__int__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_div__int__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11062), _u11063) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u11062, _u11063))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_mod__nat__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_mod__nat__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11064, _u11065) = hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u11064, _u11065))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_split__comp__eq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_split__comp__eq-1, axiom, ( ( hAPP(hAPP(c_COMBS(tc_prod(_u11066, _u11067), _u11067, _u11068), hAPP(hAPP(c_COMBB(_u11069, tc_fun(_u11067, _u11068), tc_prod(_u11066, _u11067)), _u11070), hAPP(hAPP(c_COMBB(_u11066, _u11069, tc_prod(_u11066, _u11067)), _u11071), c_Product__Type_Ofst(_u11066, _u11067)))), c_Product__Type_Osnd(_u11066, _u11067)) = hAPP(c_Product__Type_Oprod_Oprod__case(_u11066, _u11067, _u11068), hAPP(hAPP(c_COMBB(_u11069, tc_fun(_u11067, _u11068), _u11066), _u11070), _u11071))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_split__beta ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_split__beta-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11072, _u11073, _u11074), _u11075), _u11076) = hAPP(hAPP(_u11075, hAPP(c_Product__Type_Ofst(_u11072, _u11073), _u11076)), hAPP(c_Product__Type_Osnd(_u11072, _u11073), _u11076))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_split__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_split__def-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11077, _u11078, _u11079), _u11080), _u11081) = hAPP(hAPP(_u11080, hAPP(c_Product__Type_Ofst(_u11077, _u11078), _u11081)), hAPP(c_Product__Type_Osnd(_u11077, _u11078), _u11081))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_div__neg__pos ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_div__neg__pos-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11082), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11083)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11082), _u11083) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u11082, _u11083))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_div__pos__pos ( axiom ) converted to clauses:
% 12.53/12.72 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)), _u11084)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11085)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11084), _u11085) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u11084, _u11085))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_div__pos__pos__1__number__of ( axiom ) converted to clauses:
% 12.53/12.72 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), _u11086))) | ( 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), _u11086)) = 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), _u11086)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_div__pos__neg ( axiom ) converted to clauses:
% 12.53/12.72 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)), _u11087)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11088), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11087), _u11088) = 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), _u11087), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11088))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_div__neg__neg ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_div__neg__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11089), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11090), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11089), _u11090) = 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), _u11089), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11090))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_prod__size__simp ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_prod__size__simp-1, axiom, ( ( c_Product__Type_Oprod_Oprod__size(_u11091, _u11092, _u11093, _u11094, _u11095) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u11093, hAPP(c_Product__Type_Ofst(_u11091, _u11092), _u11095))), hAPP(_u11094, hAPP(c_Product__Type_Osnd(_u11091, _u11092), _u11095)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_exI__realizer ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_exI__realizer-1, axiom, ( ~hBOOL(hAPP(hAPP(_u11096, _u11097), _u11098)) | hBOOL(hAPP(hAPP(_u11096, hAPP(c_Product__Type_Osnd(_u11099, _u11100), hAPP(hAPP(c_Product__Type_OPair(_u11099, _u11100), _u11098), _u11097))), hAPP(c_Product__Type_Ofst(_u11099, _u11100), hAPP(hAPP(c_Product__Type_OPair(_u11099, _u11100), _u11098), _u11097)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_conjI__realizer ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_conjI__realizer-1, axiom, ( ~hBOOL(hAPP(_u11101, _u11102)) | ~hBOOL(hAPP(_u11103, _u11104)) | hBOOL(hAPP(_u11101, hAPP(c_Product__Type_Ofst(_u11105, _u11106), hAPP(hAPP(c_Product__Type_OPair(_u11105, _u11106), _u11102), _u11104)))) )).
% 12.53/12.72 cnf(fact_conjI__realizer-2, axiom, ( ~hBOOL(hAPP(_u11101, _u11102)) | ~hBOOL(hAPP(_u11103, _u11104)) | hBOOL(hAPP(_u11103, hAPP(c_Product__Type_Osnd(_u11105, _u11106), hAPP(hAPP(c_Product__Type_OPair(_u11105, _u11106), _u11102), _u11104)))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_div__nat__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_div__nat__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u11107), _u11108) = hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u11107, _u11108))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_divmod__nat__rel__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_divmod__nat__rel__def-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11112, _u11114), _u11116)) | ( _u11112 = 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), _u11116)), _u11114)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11116))) )).
% 12.53/12.72 cnf(fact_divmod__nat__rel__def-2, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11112, _u11114), _u11116)) | ( _u11114 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u11116) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.72 cnf(fact_divmod__nat__rel__def-3, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11112, _u11114), _u11116)) | ( _u11114 = 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)), _u11114)) | 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), _u11116))) )).
% 12.53/12.72 cnf(fact_divmod__nat__rel__def-4, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11112, _u11114), _u11116)) | ( _u11114 = 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)), _u11114)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11116)), _u11114)) )).
% 12.53/12.72 cnf(fact_divmod__nat__rel__def-5, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11112, _u11114), _u11116)) | ( _u11114 = 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)), _u11114)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11114), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11116))) )).
% 12.53/12.72 cnf(fact_divmod__nat__rel__def-6, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11112, _u11114), _u11116)) | ( _u11114 = 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)), _u11114)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11116)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.53/12.72 cnf(fact_divmod__nat__rel__def-7, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11113, _u11115), _u11117)) | ( _u11113 != 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), _u11117)), _u11115)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117))) | ( _u11115 = 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)), _u11115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11115), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.53/12.72 cnf(fact_divmod__nat__rel__def-8, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11113, _u11115), _u11117)) | ( _u11113 != 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), _u11117)), _u11115)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117))) | ( _u11115 = 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), _u11117))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117)), _u11115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11115)) )).
% 12.53/12.72 cnf(fact_divmod__nat__rel__def-9, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11113, _u11115), _u11117)) | ( _u11113 != 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), _u11117)), _u11115)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117))) | ( _u11115 = 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), _u11117))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117)), _u11115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11115), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.53/12.72 cnf(fact_divmod__nat__rel__def-10, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11113, _u11115), _u11117)) | ( _u11113 != 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), _u11117)), _u11115)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u11117) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u11115 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.72 cnf(fact_divmod__nat__rel__def-11, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11113, _u11115), _u11117)) | ( _u11113 != 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), _u11117)), _u11115)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u11117) != 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)), _u11115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11115), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.53/12.72 cnf(fact_divmod__nat__rel__def-12, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11113, _u11115), _u11117)) | ( _u11113 != 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), _u11117)), _u11115)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u11117) != 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), _u11117))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117)), _u11115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11115)) )).
% 12.53/12.72 cnf(fact_divmod__nat__rel__def-13, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11113, _u11115), _u11117)) | ( _u11113 != 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), _u11117)), _u11115)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u11117) != 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), _u11117))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117)), _u11115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11115), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_nat__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_nat__def-1, axiom, ( ( hAPP(c_Int_Onat, _u11118) = 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, _u11118)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool))), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool))), tc_Nat_Onat), c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool))), tc_Nat_Onat), hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_Set_Oinsert(tc_Nat_Onat))), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_UN__finite2__subset ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_UN__finite2__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11120, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11120, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem275(_u11123, _u11122, _u11121, _u11120))), _u11121)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11120, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem275(_u11123, _u11122, _u11121, _u11120)), _u11122))), _u11123))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11120, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11120, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11121)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11120, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11123))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_nat__gcd_Opinduct ( axiom ) converted to clauses:
% 12.53/12.72 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), _u11126), _u11127))) | hBOOL(hAPP(hAPP(_u11128, _u11126), _u11127)) | 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), skolem276(_u11128, _u11127, _u11126)), skolem277(_u11128, _u11127, _u11126)))) )).
% 12.53/12.72 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), _u11126), _u11127))) | hBOOL(hAPP(hAPP(_u11128, _u11126), _u11127)) | ( skolem277(_u11128, _u11127, _u11126) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(_u11128, skolem277(_u11128, _u11127, _u11126)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, skolem276(_u11128, _u11127, _u11126), skolem277(_u11128, _u11127, _u11126)))) )).
% 12.53/12.72 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), _u11126), _u11127))) | hBOOL(hAPP(hAPP(_u11128, _u11126), _u11127)) | ~hBOOL(hAPP(hAPP(_u11128, skolem276(_u11128, _u11127, _u11126)), skolem277(_u11128, _u11127, _u11126))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_Rep__Integ__inject ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_Rep__Integ__inject-1, axiom, ( ( hAPP(c_Int_ORep__Integ, _u11131) != hAPP(c_Int_ORep__Integ, _u11133)) | ( _u11131 = _u11133) )).
% 12.53/12.72 cnf(fact_Rep__Integ__inject-2, axiom, ( ( _u11132 != _u11134) | ( hAPP(c_Int_ORep__Integ, _u11132) = hAPP(c_Int_ORep__Integ, _u11134)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_range ( axiom ) converted to clauses:
% 12.53/12.72 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)), _u11135)) | 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(_u11135), _u11136))), _u11135)) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_setsum__multicount ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_setsum__multicount-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11138), _u11139)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11140), _u11141)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11138, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u11140, tc_HOL_Obool), tc_Nat_Onat, _u11138), c_Finite__Set_Ocard(_u11140)), hAPP(hAPP(c_COMBB(tc_fun(_u11140, tc_HOL_Obool), tc_fun(_u11140, tc_HOL_Obool), _u11138), c_Set_OCollect(_u11140)), hAPP(hAPP(c_COMBB(tc_fun(_u11140, tc_HOL_Obool), tc_fun(_u11140, tc_HOL_Obool), _u11138), hAPP(c_COMBS(_u11140, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11140), c_fconj), hAPP(hAPP(c_COMBC(_u11140, tc_fun(_u11140, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11140)), _u11141)))), _u11142)))), _u11139) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11143), hAPP(c_Finite__Set_Ocard(_u11140), _u11141))) | hBOOL(hAPP(hAPP(c_member(_u11140), skolem278(_u11143, _u11142, _u11141, _u11140, _u11139, _u11138)), _u11141)) )).
% 12.53/12.72 cnf(fact_setsum__multicount-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11138), _u11139)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11140), _u11141)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11138, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u11140, tc_HOL_Obool), tc_Nat_Onat, _u11138), c_Finite__Set_Ocard(_u11140)), hAPP(hAPP(c_COMBB(tc_fun(_u11140, tc_HOL_Obool), tc_fun(_u11140, tc_HOL_Obool), _u11138), c_Set_OCollect(_u11140)), hAPP(hAPP(c_COMBB(tc_fun(_u11140, tc_HOL_Obool), tc_fun(_u11140, tc_HOL_Obool), _u11138), hAPP(c_COMBS(_u11140, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11140), c_fconj), hAPP(hAPP(c_COMBC(_u11140, tc_fun(_u11140, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11140)), _u11141)))), _u11142)))), _u11139) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11143), hAPP(c_Finite__Set_Ocard(_u11140), _u11141))) | ( hAPP(c_Finite__Set_Ocard(_u11138), hAPP(c_Set_OCollect(_u11138), hAPP(hAPP(c_COMBS(_u11138, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11138), c_fconj), hAPP(hAPP(c_COMBC(_u11138, tc_fun(_u11138, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11138)), _u11139))), hAPP(hAPP(c_COMBC(_u11138, _u11140, tc_HOL_Obool), _u11142), skolem278(_u11143, _u11142, _u11141, _u11140, _u11139, _u11138))))) != _u11143) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_mlex__leq ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_mlex__leq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u11144, _u11145)), hAPP(_u11144, _u11146))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11147, _u11147)), hAPP(hAPP(c_Product__Type_OPair(_u11147, _u11147), _u11145), _u11146)), _u11148)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11147, _u11147)), hAPP(hAPP(c_Product__Type_OPair(_u11147, _u11147), _u11145), _u11146)), c_Wellfounded_Omlex__prod(_u11147, _u11144, _u11148))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_mlex__less ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_mlex__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u11149, _u11150)), hAPP(_u11149, _u11151))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11152, _u11152)), hAPP(hAPP(c_Product__Type_OPair(_u11152, _u11152), _u11150), _u11151)), c_Wellfounded_Omlex__prod(_u11152, _u11149, _u11153))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_finite__psubset__def ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_finite__psubset__def-1, axiom, ( ( c_Wellfounded_Ofinite__psubset(_u11154) = hAPP(c_Set_OCollect(tc_prod(tc_fun(_u11154, tc_HOL_Obool), tc_fun(_u11154, tc_HOL_Obool))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(_u11154, tc_HOL_Obool), tc_fun(_u11154, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u11154, tc_HOL_Obool), tc_fun(tc_fun(_u11154, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u11154, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11154, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u11154, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u11154, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u11154, tc_HOL_Obool)), c_COMBS(tc_fun(_u11154, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11154, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u11154, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u11154, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u11154, tc_HOL_Obool)), c_fconj)), c_Orderings_Oord__class_Oless(tc_fun(_u11154, tc_HOL_Obool))))), c_Finite__Set_Ofinite(_u11154))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Osup__Inf2__distrib ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Osup__Inf2__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u11155) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11155), _u11156)) | ( _u11156 = c_Orderings_Obot__class_Obot(tc_fun(_u11155, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11155), _u11157)) | ( _u11157 = c_Orderings_Obot__class_Obot(tc_fun(_u11155, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11155), c_Big__Operators_Olattice_OInf__fin(_u11155, c_Orderings_Oord__class_Omin(_u11155), _u11156)), c_Big__Operators_Olattice_OInf__fin(_u11155, c_Orderings_Oord__class_Omin(_u11155), _u11157)) = c_Big__Operators_Olattice_OInf__fin(_u11155, c_Orderings_Oord__class_Omin(_u11155), hAPP(c_Set_OCollect(_u11155), hAPP(hAPP(c_COMBB(tc_fun(_u11155, tc_HOL_Obool), tc_HOL_Obool, _u11155), c_HOL_OEx(_u11155)), hAPP(hAPP(c_COMBB(tc_fun(_u11155, tc_fun(_u11155, tc_HOL_Obool)), tc_fun(_u11155, tc_HOL_Obool), _u11155), hAPP(c_COMBB(tc_fun(_u11155, tc_HOL_Obool), tc_HOL_Obool, _u11155), c_HOL_OEx(_u11155))), hAPP(hAPP(c_COMBC(_u11155, tc_fun(_u11155, tc_fun(_u11155, tc_HOL_Obool)), tc_fun(_u11155, tc_fun(_u11155, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11155, tc_fun(tc_fun(_u11155, tc_HOL_Obool), tc_fun(_u11155, tc_HOL_Obool))), tc_fun(tc_fun(_u11155, tc_fun(_u11155, tc_HOL_Obool)), tc_fun(_u11155, tc_fun(_u11155, tc_HOL_Obool))), _u11155), c_COMBS(_u11155, tc_fun(_u11155, tc_HOL_Obool), tc_fun(_u11155, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11155, tc_fun(_u11155, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u11155, tc_fun(tc_fun(_u11155, tc_HOL_Obool), tc_fun(_u11155, tc_HOL_Obool))), _u11155), hAPP(c_COMBB(tc_fun(_u11155, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u11155, tc_HOL_Obool), tc_fun(_u11155, tc_HOL_Obool)), _u11155), c_COMBS(_u11155, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11155, tc_fun(_u11155, tc_HOL_Obool)), tc_fun(_u11155, tc_fun(_u11155, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u11155), hAPP(c_COMBB(tc_fun(_u11155, tc_HOL_Obool), tc_fun(_u11155, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u11155), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11155), c_fconj))), hAPP(hAPP(c_COMBC(_u11155, tc_fun(_u11155, tc_fun(_u11155, _u11155)), tc_fun(_u11155, tc_fun(_u11155, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11155, _u11155), tc_fun(_u11155, tc_HOL_Obool)), tc_fun(tc_fun(_u11155, tc_fun(_u11155, _u11155)), tc_fun(_u11155, tc_fun(_u11155, tc_HOL_Obool))), _u11155), c_COMBB(tc_fun(_u11155, _u11155), tc_fun(_u11155, tc_HOL_Obool), _u11155)), hAPP(hAPP(c_COMBB(tc_fun(_u11155, tc_HOL_Obool), tc_fun(tc_fun(_u11155, _u11155), tc_fun(_u11155, tc_HOL_Obool)), _u11155), c_COMBB(_u11155, tc_HOL_Obool, _u11155)), c_fequal))), c_Orderings_Oord__class_Omax(_u11155)))))), hAPP(hAPP(c_COMBC(_u11155, tc_fun(_u11155, tc_HOL_Obool), tc_fun(_u11155, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u11155, tc_HOL_Obool), tc_fun(_u11155, tc_HOL_Obool)), _u11155), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u11155)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11155), c_fconj), hAPP(hAPP(c_COMBC(_u11155, tc_fun(_u11155, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11155)), _u11156)))), hAPP(hAPP(c_COMBC(_u11155, tc_fun(_u11155, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11155)), _u11157)))))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_min__max_Osup__Inf1__distrib ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_min__max_Osup__Inf1__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u11158) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11158), _u11159)) | ( _u11159 = c_Orderings_Obot__class_Obot(tc_fun(_u11158, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11158), _u11160), c_Big__Operators_Olattice_OInf__fin(_u11158, c_Orderings_Oord__class_Omin(_u11158), _u11159)) = c_Big__Operators_Olattice_OInf__fin(_u11158, c_Orderings_Oord__class_Omin(_u11158), hAPP(c_Set_OCollect(_u11158), hAPP(hAPP(c_COMBB(tc_fun(_u11158, tc_HOL_Obool), tc_HOL_Obool, _u11158), c_HOL_OEx(_u11158)), hAPP(hAPP(c_COMBC(_u11158, tc_fun(_u11158, tc_HOL_Obool), tc_fun(_u11158, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11158, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u11158, tc_HOL_Obool), tc_fun(_u11158, tc_HOL_Obool)), _u11158), c_COMBS(_u11158, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11158, tc_HOL_Obool), tc_fun(_u11158, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u11158), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11158), c_fconj)), hAPP(hAPP(c_COMBC(_u11158, tc_fun(_u11158, _u11158), tc_fun(_u11158, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11158, tc_HOL_Obool), tc_fun(tc_fun(_u11158, _u11158), tc_fun(_u11158, tc_HOL_Obool)), _u11158), c_COMBB(_u11158, tc_HOL_Obool, _u11158)), c_fequal)), hAPP(c_Orderings_Oord__class_Omax(_u11158), _u11160))))), hAPP(hAPP(c_COMBC(_u11158, tc_fun(_u11158, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11158)), _u11159)))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_finite__Collect__bounded__ex ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_finite__Collect__bounded__ex-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11163), hAPP(c_Set_OCollect(_u11163), _u11164))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11165), hAPP(c_Set_OCollect(_u11165), hAPP(hAPP(c_COMBB(tc_fun(_u11163, tc_HOL_Obool), tc_HOL_Obool, _u11165), c_HOL_OEx(_u11163)), hAPP(hAPP(c_COMBB(tc_fun(_u11163, tc_HOL_Obool), tc_fun(_u11163, tc_HOL_Obool), _u11165), hAPP(c_COMBS(_u11163, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11163), c_fconj), _u11164))), _u11166))))) | ~hBOOL(hAPP(_u11164, _u11161)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11165), hAPP(c_Set_OCollect(_u11165), hAPP(hAPP(c_COMBC(_u11165, _u11163, tc_HOL_Obool), _u11166), _u11161)))) )).
% 12.53/12.72 cnf(fact_finite__Collect__bounded__ex-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11163), hAPP(c_Set_OCollect(_u11163), _u11164))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11165), hAPP(c_Set_OCollect(_u11165), hAPP(hAPP(c_COMBB(tc_fun(_u11163, tc_HOL_Obool), tc_HOL_Obool, _u11165), c_HOL_OEx(_u11163)), hAPP(hAPP(c_COMBB(tc_fun(_u11163, tc_HOL_Obool), tc_fun(_u11163, tc_HOL_Obool), _u11165), hAPP(c_COMBS(_u11163, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11163), c_fconj), _u11164))), _u11166))))) | hBOOL(hAPP(_u11164, skolem279(_u11166, _u11165, _u11164, _u11163))) )).
% 12.53/12.72 cnf(fact_finite__Collect__bounded__ex-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11163), hAPP(c_Set_OCollect(_u11163), _u11164))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11165), hAPP(c_Set_OCollect(_u11165), hAPP(hAPP(c_COMBB(tc_fun(_u11163, tc_HOL_Obool), tc_HOL_Obool, _u11165), c_HOL_OEx(_u11163)), hAPP(hAPP(c_COMBB(tc_fun(_u11163, tc_HOL_Obool), tc_fun(_u11163, tc_HOL_Obool), _u11165), hAPP(c_COMBS(_u11163, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11163), c_fconj), _u11164))), _u11166))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11165), hAPP(c_Set_OCollect(_u11165), hAPP(hAPP(c_COMBC(_u11165, _u11163, tc_HOL_Obool), _u11166), skolem279(_u11166, _u11165, _u11164, _u11163))))) )).
% 12.53/12.72
% 12.53/12.72 % Formula: fact_finite__image__set ( axiom ) converted to clauses:
% 12.53/12.72 cnf(fact_finite__image__set-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11167), hAPP(c_Set_OCollect(_u11167), _u11168))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11169), hAPP(c_Set_OCollect(_u11169), hAPP(hAPP(c_COMBB(tc_fun(_u11167, tc_HOL_Obool), tc_HOL_Obool, _u11169), c_HOL_OEx(_u11167)), hAPP(hAPP(c_COMBC(_u11169, tc_fun(_u11167, tc_HOL_Obool), tc_fun(_u11167, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11167, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u11167, tc_HOL_Obool), tc_fun(_u11167, tc_HOL_Obool)), _u11169), c_COMBS(_u11167, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11167, tc_HOL_Obool), tc_fun(_u11167, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u11169), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11167), c_fconj)), hAPP(hAPP(c_COMBC(_u11169, tc_fun(_u11167, _u11169), tc_fun(_u11167, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11169, tc_HOL_Obool), tc_fun(tc_fun(_u11167, _u11169), tc_fun(_u11167, tc_HOL_Obool)), _u11169), c_COMBB(_u11169, tc_HOL_Obool, _u11167)), c_fequal)), _u11170)))), _u11168))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Pow__Compl ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Pow__Compl-1, axiom, ( ( hAPP(c_Set_OPow(_u11171), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11171, tc_HOL_Obool)), _u11172)) = hAPP(c_Set_OCollect(tc_fun(_u11171, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11171, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u11171, tc_HOL_Obool)), c_HOL_OEx(tc_fun(_u11171, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u11171, tc_HOL_Obool), tc_fun(tc_fun(_u11171, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u11171, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11171, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u11171, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u11171, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u11171, tc_HOL_Obool)), c_COMBS(tc_fun(_u11171, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11171, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u11171, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u11171, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u11171, tc_HOL_Obool)), c_fconj)), hAPP(hAPP(c_COMBC(tc_fun(_u11171, tc_HOL_Obool), tc_fun(tc_fun(_u11171, tc_HOL_Obool), tc_fun(_u11171, tc_HOL_Obool)), tc_fun(tc_fun(_u11171, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11171, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u11171, tc_HOL_Obool), tc_fun(_u11171, tc_HOL_Obool)), tc_fun(tc_fun(_u11171, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u11171, tc_HOL_Obool)), c_COMBB(tc_fun(_u11171, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u11171, tc_HOL_Obool))), c_fequal)), c_Groups_Ouminus__class_Ouminus(tc_fun(_u11171, tc_HOL_Obool)))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11171, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u11171, tc_HOL_Obool)), hAPP(c_member(tc_fun(_u11171, tc_HOL_Obool)), _u11172)), c_Set_OPow(_u11171)))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_add__Max__commute ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_add__Max__commute-1, axiom, ( ~class_Groups_Olinordered__ab__semigroup__add(_u11173) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11173), _u11174)) | ( _u11174 = c_Orderings_Obot__class_Obot(tc_fun(_u11173, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11173), _u11175), c_Big__Operators_Olinorder__class_OMax(_u11173, _u11174)) = c_Big__Operators_Olinorder__class_OMax(_u11173, hAPP(c_Set_OCollect(_u11173), hAPP(hAPP(c_COMBB(tc_fun(_u11173, tc_HOL_Obool), tc_HOL_Obool, _u11173), c_HOL_OEx(_u11173)), hAPP(hAPP(c_COMBC(_u11173, tc_fun(_u11173, tc_HOL_Obool), tc_fun(_u11173, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11173, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u11173, tc_HOL_Obool), tc_fun(_u11173, tc_HOL_Obool)), _u11173), c_COMBS(_u11173, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11173, tc_HOL_Obool), tc_fun(_u11173, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u11173), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11173), c_fconj)), hAPP(hAPP(c_COMBC(_u11173, tc_fun(_u11173, _u11173), tc_fun(_u11173, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11173, tc_HOL_Obool), tc_fun(tc_fun(_u11173, _u11173), tc_fun(_u11173, tc_HOL_Obool)), _u11173), c_COMBB(_u11173, tc_HOL_Obool, _u11173)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u11173), _u11175))))), hAPP(hAPP(c_COMBC(_u11173, tc_fun(_u11173, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11173)), _u11174)))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_add__Min__commute ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_add__Min__commute-1, axiom, ( ~class_Groups_Olinordered__ab__semigroup__add(_u11176) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11176), _u11177)) | ( _u11177 = c_Orderings_Obot__class_Obot(tc_fun(_u11176, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11176), _u11178), c_Big__Operators_Olinorder__class_OMin(_u11176, _u11177)) = c_Big__Operators_Olinorder__class_OMin(_u11176, hAPP(c_Set_OCollect(_u11176), hAPP(hAPP(c_COMBB(tc_fun(_u11176, tc_HOL_Obool), tc_HOL_Obool, _u11176), c_HOL_OEx(_u11176)), hAPP(hAPP(c_COMBC(_u11176, tc_fun(_u11176, tc_HOL_Obool), tc_fun(_u11176, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11176, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u11176, tc_HOL_Obool), tc_fun(_u11176, tc_HOL_Obool)), _u11176), c_COMBS(_u11176, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11176, tc_HOL_Obool), tc_fun(_u11176, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u11176), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11176), c_fconj)), hAPP(hAPP(c_COMBC(_u11176, tc_fun(_u11176, _u11176), tc_fun(_u11176, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11176, tc_HOL_Obool), tc_fun(tc_fun(_u11176, _u11176), tc_fun(_u11176, tc_HOL_Obool)), _u11176), c_COMBB(_u11176, tc_HOL_Obool, _u11176)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u11176), _u11178))))), hAPP(hAPP(c_COMBC(_u11176, tc_fun(_u11176, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11176)), _u11177)))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_sup__Inf1__distrib ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_sup__Inf1__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u11179) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11179), _u11180)) | ( _u11180 = c_Orderings_Obot__class_Obot(tc_fun(_u11179, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11179), _u11181), c_Big__Operators_Olattice__class_OInf__fin(_u11179, _u11180)) = c_Big__Operators_Olattice__class_OInf__fin(_u11179, hAPP(c_Set_OCollect(_u11179), hAPP(hAPP(c_COMBB(tc_fun(_u11179, tc_HOL_Obool), tc_HOL_Obool, _u11179), c_HOL_OEx(_u11179)), hAPP(hAPP(c_COMBC(_u11179, tc_fun(_u11179, tc_HOL_Obool), tc_fun(_u11179, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11179, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u11179, tc_HOL_Obool), tc_fun(_u11179, tc_HOL_Obool)), _u11179), c_COMBS(_u11179, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11179, tc_HOL_Obool), tc_fun(_u11179, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u11179), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11179), c_fconj)), hAPP(hAPP(c_COMBC(_u11179, tc_fun(_u11179, _u11179), tc_fun(_u11179, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11179, tc_HOL_Obool), tc_fun(tc_fun(_u11179, _u11179), tc_fun(_u11179, tc_HOL_Obool)), _u11179), c_COMBB(_u11179, tc_HOL_Obool, _u11179)), c_fequal)), hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11179), _u11181))))), hAPP(hAPP(c_COMBC(_u11179, tc_fun(_u11179, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11179)), _u11180)))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_sup__Inf2__distrib ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_sup__Inf2__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u11182) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11182), _u11183)) | ( _u11183 = c_Orderings_Obot__class_Obot(tc_fun(_u11182, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11182), _u11184)) | ( _u11184 = c_Orderings_Obot__class_Obot(tc_fun(_u11182, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11182), c_Big__Operators_Olattice__class_OInf__fin(_u11182, _u11183)), c_Big__Operators_Olattice__class_OInf__fin(_u11182, _u11184)) = c_Big__Operators_Olattice__class_OInf__fin(_u11182, hAPP(c_Set_OCollect(_u11182), hAPP(hAPP(c_COMBB(tc_fun(_u11182, tc_HOL_Obool), tc_HOL_Obool, _u11182), c_HOL_OEx(_u11182)), hAPP(hAPP(c_COMBB(tc_fun(_u11182, tc_fun(_u11182, tc_HOL_Obool)), tc_fun(_u11182, tc_HOL_Obool), _u11182), hAPP(c_COMBB(tc_fun(_u11182, tc_HOL_Obool), tc_HOL_Obool, _u11182), c_HOL_OEx(_u11182))), hAPP(hAPP(c_COMBC(_u11182, tc_fun(_u11182, tc_fun(_u11182, tc_HOL_Obool)), tc_fun(_u11182, tc_fun(_u11182, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11182, tc_fun(tc_fun(_u11182, tc_HOL_Obool), tc_fun(_u11182, tc_HOL_Obool))), tc_fun(tc_fun(_u11182, tc_fun(_u11182, tc_HOL_Obool)), tc_fun(_u11182, tc_fun(_u11182, tc_HOL_Obool))), _u11182), c_COMBS(_u11182, tc_fun(_u11182, tc_HOL_Obool), tc_fun(_u11182, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11182, tc_fun(_u11182, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u11182, tc_fun(tc_fun(_u11182, tc_HOL_Obool), tc_fun(_u11182, tc_HOL_Obool))), _u11182), hAPP(c_COMBB(tc_fun(_u11182, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u11182, tc_HOL_Obool), tc_fun(_u11182, tc_HOL_Obool)), _u11182), c_COMBS(_u11182, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11182, tc_fun(_u11182, tc_HOL_Obool)), tc_fun(_u11182, tc_fun(_u11182, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u11182), hAPP(c_COMBB(tc_fun(_u11182, tc_HOL_Obool), tc_fun(_u11182, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u11182), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11182), c_fconj))), hAPP(hAPP(c_COMBC(_u11182, tc_fun(_u11182, tc_fun(_u11182, _u11182)), tc_fun(_u11182, tc_fun(_u11182, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11182, _u11182), tc_fun(_u11182, tc_HOL_Obool)), tc_fun(tc_fun(_u11182, tc_fun(_u11182, _u11182)), tc_fun(_u11182, tc_fun(_u11182, tc_HOL_Obool))), _u11182), c_COMBB(tc_fun(_u11182, _u11182), tc_fun(_u11182, tc_HOL_Obool), _u11182)), hAPP(hAPP(c_COMBB(tc_fun(_u11182, tc_HOL_Obool), tc_fun(tc_fun(_u11182, _u11182), tc_fun(_u11182, tc_HOL_Obool)), _u11182), c_COMBB(_u11182, tc_HOL_Obool, _u11182)), c_fequal))), c_Lattices_Osemilattice__sup__class_Osup(_u11182)))))), hAPP(hAPP(c_COMBC(_u11182, tc_fun(_u11182, tc_HOL_Obool), tc_fun(_u11182, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u11182, tc_HOL_Obool), tc_fun(_u11182, tc_HOL_Obool)), _u11182), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u11182)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11182), c_fconj), hAPP(hAPP(c_COMBC(_u11182, tc_fun(_u11182, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11182)), _u11183)))), hAPP(hAPP(c_COMBC(_u11182, tc_fun(_u11182, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11182)), _u11184)))))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inf__Sup1__distrib ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inf__Sup1__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u11185) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11185), _u11186)) | ( _u11186 = c_Orderings_Obot__class_Obot(tc_fun(_u11185, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11185), _u11187), c_Big__Operators_Olattice__class_OSup__fin(_u11185, _u11186)) = c_Big__Operators_Olattice__class_OSup__fin(_u11185, hAPP(c_Set_OCollect(_u11185), hAPP(hAPP(c_COMBB(tc_fun(_u11185, tc_HOL_Obool), tc_HOL_Obool, _u11185), c_HOL_OEx(_u11185)), hAPP(hAPP(c_COMBC(_u11185, tc_fun(_u11185, tc_HOL_Obool), tc_fun(_u11185, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11185, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u11185, tc_HOL_Obool), tc_fun(_u11185, tc_HOL_Obool)), _u11185), c_COMBS(_u11185, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11185, tc_HOL_Obool), tc_fun(_u11185, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u11185), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11185), c_fconj)), hAPP(hAPP(c_COMBC(_u11185, tc_fun(_u11185, _u11185), tc_fun(_u11185, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11185, tc_HOL_Obool), tc_fun(tc_fun(_u11185, _u11185), tc_fun(_u11185, tc_HOL_Obool)), _u11185), c_COMBB(_u11185, tc_HOL_Obool, _u11185)), c_fequal)), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11185), _u11187))))), hAPP(hAPP(c_COMBC(_u11185, tc_fun(_u11185, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11185)), _u11186)))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inf__Sup2__distrib ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inf__Sup2__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u11188) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11188), _u11189)) | ( _u11189 = c_Orderings_Obot__class_Obot(tc_fun(_u11188, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11188), _u11190)) | ( _u11190 = c_Orderings_Obot__class_Obot(tc_fun(_u11188, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11188), c_Big__Operators_Olattice__class_OSup__fin(_u11188, _u11189)), c_Big__Operators_Olattice__class_OSup__fin(_u11188, _u11190)) = c_Big__Operators_Olattice__class_OSup__fin(_u11188, hAPP(c_Set_OCollect(_u11188), hAPP(hAPP(c_COMBB(tc_fun(_u11188, tc_HOL_Obool), tc_HOL_Obool, _u11188), c_HOL_OEx(_u11188)), hAPP(hAPP(c_COMBB(tc_fun(_u11188, tc_fun(_u11188, tc_HOL_Obool)), tc_fun(_u11188, tc_HOL_Obool), _u11188), hAPP(c_COMBB(tc_fun(_u11188, tc_HOL_Obool), tc_HOL_Obool, _u11188), c_HOL_OEx(_u11188))), hAPP(hAPP(c_COMBC(_u11188, tc_fun(_u11188, tc_fun(_u11188, tc_HOL_Obool)), tc_fun(_u11188, tc_fun(_u11188, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11188, tc_fun(tc_fun(_u11188, tc_HOL_Obool), tc_fun(_u11188, tc_HOL_Obool))), tc_fun(tc_fun(_u11188, tc_fun(_u11188, tc_HOL_Obool)), tc_fun(_u11188, tc_fun(_u11188, tc_HOL_Obool))), _u11188), c_COMBS(_u11188, tc_fun(_u11188, tc_HOL_Obool), tc_fun(_u11188, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11188, tc_fun(_u11188, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u11188, tc_fun(tc_fun(_u11188, tc_HOL_Obool), tc_fun(_u11188, tc_HOL_Obool))), _u11188), hAPP(c_COMBB(tc_fun(_u11188, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u11188, tc_HOL_Obool), tc_fun(_u11188, tc_HOL_Obool)), _u11188), c_COMBS(_u11188, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11188, tc_fun(_u11188, tc_HOL_Obool)), tc_fun(_u11188, tc_fun(_u11188, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u11188), hAPP(c_COMBB(tc_fun(_u11188, tc_HOL_Obool), tc_fun(_u11188, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u11188), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11188), c_fconj))), hAPP(hAPP(c_COMBC(_u11188, tc_fun(_u11188, tc_fun(_u11188, _u11188)), tc_fun(_u11188, tc_fun(_u11188, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11188, _u11188), tc_fun(_u11188, tc_HOL_Obool)), tc_fun(tc_fun(_u11188, tc_fun(_u11188, _u11188)), tc_fun(_u11188, tc_fun(_u11188, tc_HOL_Obool))), _u11188), c_COMBB(tc_fun(_u11188, _u11188), tc_fun(_u11188, tc_HOL_Obool), _u11188)), hAPP(hAPP(c_COMBB(tc_fun(_u11188, tc_HOL_Obool), tc_fun(tc_fun(_u11188, _u11188), tc_fun(_u11188, tc_HOL_Obool)), _u11188), c_COMBB(_u11188, tc_HOL_Obool, _u11188)), c_fequal))), c_Lattices_Osemilattice__inf__class_Oinf(_u11188)))))), hAPP(hAPP(c_COMBC(_u11188, tc_fun(_u11188, tc_HOL_Obool), tc_fun(_u11188, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u11188, tc_HOL_Obool), tc_fun(_u11188, tc_HOL_Obool)), _u11188), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u11188)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11188), c_fconj), hAPP(hAPP(c_COMBC(_u11188, tc_fun(_u11188, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11188)), _u11189)))), hAPP(hAPP(c_COMBC(_u11188, tc_fun(_u11188, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11188)), _u11190)))))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_in__finite__psubset ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_in__finite__psubset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11194, tc_HOL_Obool), tc_fun(_u11194, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11194, tc_HOL_Obool), tc_fun(_u11194, tc_HOL_Obool)), _u11196), _u11198)), c_Wellfounded_Ofinite__psubset(_u11194))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11194, tc_HOL_Obool)), _u11196), _u11198)) )).
% 12.53/12.73 cnf(fact_in__finite__psubset-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11194, tc_HOL_Obool), tc_fun(_u11194, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11194, tc_HOL_Obool), tc_fun(_u11194, tc_HOL_Obool)), _u11196), _u11198)), c_Wellfounded_Ofinite__psubset(_u11194))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11194), _u11198)) )).
% 12.53/12.73 cnf(fact_in__finite__psubset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11195, tc_HOL_Obool)), _u11197), _u11199)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11195), _u11199)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11195, tc_HOL_Obool), tc_fun(_u11195, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11195, tc_HOL_Obool), tc_fun(_u11195, tc_HOL_Obool)), _u11197), _u11199)), c_Wellfounded_Ofinite__psubset(_u11195))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_min__max_Oinf__Sup2__distrib ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_min__max_Oinf__Sup2__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u11200) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11200), _u11201)) | ( _u11201 = c_Orderings_Obot__class_Obot(tc_fun(_u11200, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11200), _u11202)) | ( _u11202 = c_Orderings_Obot__class_Obot(tc_fun(_u11200, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11200), c_Big__Operators_Olattice_OSup__fin(_u11200, c_Orderings_Oord__class_Omax(_u11200), _u11201)), c_Big__Operators_Olattice_OSup__fin(_u11200, c_Orderings_Oord__class_Omax(_u11200), _u11202)) = c_Big__Operators_Olattice_OSup__fin(_u11200, c_Orderings_Oord__class_Omax(_u11200), hAPP(c_Set_OCollect(_u11200), hAPP(hAPP(c_COMBB(tc_fun(_u11200, tc_HOL_Obool), tc_HOL_Obool, _u11200), c_HOL_OEx(_u11200)), hAPP(hAPP(c_COMBB(tc_fun(_u11200, tc_fun(_u11200, tc_HOL_Obool)), tc_fun(_u11200, tc_HOL_Obool), _u11200), hAPP(c_COMBB(tc_fun(_u11200, tc_HOL_Obool), tc_HOL_Obool, _u11200), c_HOL_OEx(_u11200))), hAPP(hAPP(c_COMBC(_u11200, tc_fun(_u11200, tc_fun(_u11200, tc_HOL_Obool)), tc_fun(_u11200, tc_fun(_u11200, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11200, tc_fun(tc_fun(_u11200, tc_HOL_Obool), tc_fun(_u11200, tc_HOL_Obool))), tc_fun(tc_fun(_u11200, tc_fun(_u11200, tc_HOL_Obool)), tc_fun(_u11200, tc_fun(_u11200, tc_HOL_Obool))), _u11200), c_COMBS(_u11200, tc_fun(_u11200, tc_HOL_Obool), tc_fun(_u11200, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11200, tc_fun(_u11200, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u11200, tc_fun(tc_fun(_u11200, tc_HOL_Obool), tc_fun(_u11200, tc_HOL_Obool))), _u11200), hAPP(c_COMBB(tc_fun(_u11200, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u11200, tc_HOL_Obool), tc_fun(_u11200, tc_HOL_Obool)), _u11200), c_COMBS(_u11200, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11200, tc_fun(_u11200, tc_HOL_Obool)), tc_fun(_u11200, tc_fun(_u11200, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u11200), hAPP(c_COMBB(tc_fun(_u11200, tc_HOL_Obool), tc_fun(_u11200, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u11200), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11200), c_fconj))), hAPP(hAPP(c_COMBC(_u11200, tc_fun(_u11200, tc_fun(_u11200, _u11200)), tc_fun(_u11200, tc_fun(_u11200, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11200, _u11200), tc_fun(_u11200, tc_HOL_Obool)), tc_fun(tc_fun(_u11200, tc_fun(_u11200, _u11200)), tc_fun(_u11200, tc_fun(_u11200, tc_HOL_Obool))), _u11200), c_COMBB(tc_fun(_u11200, _u11200), tc_fun(_u11200, tc_HOL_Obool), _u11200)), hAPP(hAPP(c_COMBB(tc_fun(_u11200, tc_HOL_Obool), tc_fun(tc_fun(_u11200, _u11200), tc_fun(_u11200, tc_HOL_Obool)), _u11200), c_COMBB(_u11200, tc_HOL_Obool, _u11200)), c_fequal))), c_Orderings_Oord__class_Omin(_u11200)))))), hAPP(hAPP(c_COMBC(_u11200, tc_fun(_u11200, tc_HOL_Obool), tc_fun(_u11200, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u11200, tc_HOL_Obool), tc_fun(_u11200, tc_HOL_Obool)), _u11200), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u11200)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11200), c_fconj), hAPP(hAPP(c_COMBC(_u11200, tc_fun(_u11200, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11200)), _u11201)))), hAPP(hAPP(c_COMBC(_u11200, tc_fun(_u11200, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11200)), _u11202)))))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_min__max_Oinf__Sup1__distrib ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_min__max_Oinf__Sup1__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u11203) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11203), _u11204)) | ( _u11204 = c_Orderings_Obot__class_Obot(tc_fun(_u11203, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11203), _u11205), c_Big__Operators_Olattice_OSup__fin(_u11203, c_Orderings_Oord__class_Omax(_u11203), _u11204)) = c_Big__Operators_Olattice_OSup__fin(_u11203, c_Orderings_Oord__class_Omax(_u11203), hAPP(c_Set_OCollect(_u11203), hAPP(hAPP(c_COMBB(tc_fun(_u11203, tc_HOL_Obool), tc_HOL_Obool, _u11203), c_HOL_OEx(_u11203)), hAPP(hAPP(c_COMBC(_u11203, tc_fun(_u11203, tc_HOL_Obool), tc_fun(_u11203, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11203, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u11203, tc_HOL_Obool), tc_fun(_u11203, tc_HOL_Obool)), _u11203), c_COMBS(_u11203, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11203, tc_HOL_Obool), tc_fun(_u11203, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u11203), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11203), c_fconj)), hAPP(hAPP(c_COMBC(_u11203, tc_fun(_u11203, _u11203), tc_fun(_u11203, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11203, tc_HOL_Obool), tc_fun(tc_fun(_u11203, _u11203), tc_fun(_u11203, tc_HOL_Obool)), _u11203), c_COMBB(_u11203, tc_HOL_Obool, _u11203)), c_fequal)), hAPP(c_Orderings_Oord__class_Omin(_u11203), _u11205))))), hAPP(hAPP(c_COMBC(_u11203, tc_fun(_u11203, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11203)), _u11204)))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_nat_Osize_I4_J ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_nat_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11206)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u11206)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_prod_Orecs ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_prod_Orecs-1, axiom, ( ( c_Product__Type_Oprod_Oprod__rec(_u11207, _u11208, _u11209, _u11210, hAPP(hAPP(c_Product__Type_OPair(_u11207, _u11208), _u11211), _u11212)) = hAPP(hAPP(_u11210, _u11211), _u11212)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_UN__finite2__eq ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_UN__finite2__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11214, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem280(_u11217, _u11216, _u11215, _u11214))), _u11215) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11214, 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), skolem280(_u11217, _u11216, _u11215, _u11214)), _u11216))), _u11217)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11214, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11215) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11214, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11217)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_nat__size ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_nat__size-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u11218) = _u11218) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_nat_Osize_I3_J ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_nat_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_UN__finite__subset ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_UN__finite__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11220, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11220, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem281(_u11222, _u11221, _u11220))), _u11221)), _u11222)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11220, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11220, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11221)), _u11222)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_setsum__multicount__gen ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_setsum__multicount__gen-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11224), _u11225)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11226), _u11227)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11224, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u11226, tc_HOL_Obool), tc_Nat_Onat, _u11224), c_Finite__Set_Ocard(_u11226)), hAPP(hAPP(c_COMBB(tc_fun(_u11226, tc_HOL_Obool), tc_fun(_u11226, tc_HOL_Obool), _u11224), c_Set_OCollect(_u11226)), hAPP(hAPP(c_COMBB(tc_fun(_u11226, tc_HOL_Obool), tc_fun(_u11226, tc_HOL_Obool), _u11224), hAPP(c_COMBS(_u11226, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11226), c_fconj), hAPP(hAPP(c_COMBC(_u11226, tc_fun(_u11226, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11226)), _u11227)))), _u11228)))), _u11225) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11226, tc_Nat_Onat), _u11229), _u11227)) | hBOOL(hAPP(hAPP(c_member(_u11226), skolem282(_u11229, _u11228, _u11227, _u11226, _u11225, _u11224)), _u11227)) )).
% 12.53/12.73 cnf(fact_setsum__multicount__gen-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11224), _u11225)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11226), _u11227)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11224, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u11226, tc_HOL_Obool), tc_Nat_Onat, _u11224), c_Finite__Set_Ocard(_u11226)), hAPP(hAPP(c_COMBB(tc_fun(_u11226, tc_HOL_Obool), tc_fun(_u11226, tc_HOL_Obool), _u11224), c_Set_OCollect(_u11226)), hAPP(hAPP(c_COMBB(tc_fun(_u11226, tc_HOL_Obool), tc_fun(_u11226, tc_HOL_Obool), _u11224), hAPP(c_COMBS(_u11226, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11226), c_fconj), hAPP(hAPP(c_COMBC(_u11226, tc_fun(_u11226, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11226)), _u11227)))), _u11228)))), _u11225) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11226, tc_Nat_Onat), _u11229), _u11227)) | ( hAPP(c_Finite__Set_Ocard(_u11224), hAPP(c_Set_OCollect(_u11224), hAPP(hAPP(c_COMBS(_u11224, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11224), c_fconj), hAPP(hAPP(c_COMBC(_u11224, tc_fun(_u11224, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11224)), _u11225))), hAPP(hAPP(c_COMBC(_u11224, _u11226, tc_HOL_Obool), _u11228), skolem282(_u11229, _u11228, _u11227, _u11226, _u11225, _u11224))))) != hAPP(_u11229, skolem282(_u11229, _u11228, _u11227, _u11226, _u11225, _u11224))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_in__lex__prod ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_in__lex__prod-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u11238, _u11240), tc_prod(_u11238, _u11240))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u11238, _u11240), tc_prod(_u11238, _u11240)), hAPP(hAPP(c_Product__Type_OPair(_u11238, _u11240), _u11242), _u11244)), hAPP(hAPP(c_Product__Type_OPair(_u11238, _u11240), _u11246), _u11248))), c_Wellfounded_Olex__prod(_u11238, _u11240, _u11250, _u11252))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11238, _u11238)), hAPP(hAPP(c_Product__Type_OPair(_u11238, _u11238), _u11242), _u11246)), _u11250)) | ( _u11242 = _u11246) )).
% 12.53/12.73 cnf(fact_in__lex__prod-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u11238, _u11240), tc_prod(_u11238, _u11240))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u11238, _u11240), tc_prod(_u11238, _u11240)), hAPP(hAPP(c_Product__Type_OPair(_u11238, _u11240), _u11242), _u11244)), hAPP(hAPP(c_Product__Type_OPair(_u11238, _u11240), _u11246), _u11248))), c_Wellfounded_Olex__prod(_u11238, _u11240, _u11250, _u11252))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11238, _u11238)), hAPP(hAPP(c_Product__Type_OPair(_u11238, _u11238), _u11242), _u11246)), _u11250)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11240, _u11240)), hAPP(hAPP(c_Product__Type_OPair(_u11240, _u11240), _u11244), _u11248)), _u11252)) )).
% 12.53/12.73 cnf(fact_in__lex__prod-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u11239, _u11241), tc_prod(_u11239, _u11241))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u11239, _u11241), tc_prod(_u11239, _u11241)), hAPP(hAPP(c_Product__Type_OPair(_u11239, _u11241), _u11243), _u11245)), hAPP(hAPP(c_Product__Type_OPair(_u11239, _u11241), _u11247), _u11249))), c_Wellfounded_Olex__prod(_u11239, _u11241, _u11251, _u11253))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11239, _u11239)), hAPP(hAPP(c_Product__Type_OPair(_u11239, _u11239), _u11243), _u11247)), _u11251)) )).
% 12.53/12.73 cnf(fact_in__lex__prod-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u11239, _u11241), tc_prod(_u11239, _u11241))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u11239, _u11241), tc_prod(_u11239, _u11241)), hAPP(hAPP(c_Product__Type_OPair(_u11239, _u11241), _u11243), _u11245)), hAPP(hAPP(c_Product__Type_OPair(_u11239, _u11241), _u11247), _u11249))), c_Wellfounded_Olex__prod(_u11239, _u11241, _u11251, _u11253))) | ( _u11243 != _u11247) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11241, _u11241)), hAPP(hAPP(c_Product__Type_OPair(_u11241, _u11241), _u11245), _u11249)), _u11253)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_same__fstI ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_same__fstI-1, axiom, ( ~hBOOL(hAPP(_u11254, _u11255)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11256, _u11256)), hAPP(hAPP(c_Product__Type_OPair(_u11256, _u11256), _u11257), _u11258)), hAPP(_u11259, _u11255))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u11260, _u11256), tc_prod(_u11260, _u11256))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u11260, _u11256), tc_prod(_u11260, _u11256)), hAPP(hAPP(c_Product__Type_OPair(_u11260, _u11256), _u11255), _u11257)), hAPP(hAPP(c_Product__Type_OPair(_u11260, _u11256), _u11255), _u11258))), c_Recdef_Osame__fst(_u11260, _u11256, _u11254, _u11259))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_setsum__nonneg__0 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_setsum__nonneg__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11262) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11263), _u11264)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11263, _u11262), _u11265), _u11264) != c_Groups_Ozero__class_Ozero(_u11262)) | ~hBOOL(hAPP(hAPP(c_member(_u11263), _u11266), _u11264)) | ( hAPP(_u11265, _u11266) = c_Groups_Ozero__class_Ozero(_u11262)) | hBOOL(hAPP(hAPP(c_member(_u11263), skolem283(_u11266, _u11265, _u11264, _u11263, _u11262)), _u11264)) )).
% 12.53/12.73 cnf(fact_setsum__nonneg__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11262) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11263), _u11264)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11263, _u11262), _u11265), _u11264) != c_Groups_Ozero__class_Ozero(_u11262)) | ~hBOOL(hAPP(hAPP(c_member(_u11263), _u11266), _u11264)) | ( hAPP(_u11265, _u11266) = c_Groups_Ozero__class_Ozero(_u11262)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11262), c_Groups_Ozero__class_Ozero(_u11262)), hAPP(_u11265, skolem283(_u11266, _u11265, _u11264, _u11263, _u11262)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_setsum__nonneg__leq__bound ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_setsum__nonneg__leq__bound-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11268) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11269), _u11270)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11269, _u11268), _u11271), _u11270) != _u11272) | ~hBOOL(hAPP(hAPP(c_member(_u11269), _u11273), _u11270)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11268), hAPP(_u11271, _u11273)), _u11272)) | hBOOL(hAPP(hAPP(c_member(_u11269), skolem284(_u11273, _u11272, _u11271, _u11270, _u11269, _u11268)), _u11270)) )).
% 12.53/12.73 cnf(fact_setsum__nonneg__leq__bound-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11268) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11269), _u11270)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11269, _u11268), _u11271), _u11270) != _u11272) | ~hBOOL(hAPP(hAPP(c_member(_u11269), _u11273), _u11270)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11268), hAPP(_u11271, _u11273)), _u11272)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11268), c_Groups_Ozero__class_Ozero(_u11268)), hAPP(_u11271, skolem284(_u11273, _u11272, _u11271, _u11270, _u11269, _u11268)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_sum__diff__distrib ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_sum__diff__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u11275, skolem285(_u11277, _u11276, _u11275))), hAPP(_u11276, skolem285(_u11277, _u11276, _u11275)))) | ( 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), _u11276), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11277))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u11275), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11277))) = 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)), _u11276)), _u11275)), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11277))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_apfst__apsnd ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_apfst__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u11278, _u11279, _u11280, _u11281), hAPP(c_Product__Type_Oapsnd(_u11282, _u11280, _u11278, _u11283), _u11284)) = hAPP(hAPP(c_Product__Type_OPair(_u11279, _u11280), hAPP(_u11281, hAPP(c_Product__Type_Ofst(_u11278, _u11282), _u11284))), hAPP(_u11283, hAPP(c_Product__Type_Osnd(_u11278, _u11282), _u11284)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_apsnd__apfst ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_apsnd__apfst-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u11285, _u11286, _u11287, _u11288), hAPP(c_Product__Type_Oapfst(_u11289, _u11287, _u11285, _u11290), _u11291)) = hAPP(hAPP(c_Product__Type_OPair(_u11287, _u11286), hAPP(_u11290, hAPP(c_Product__Type_Ofst(_u11289, _u11285), _u11291))), hAPP(_u11288, hAPP(c_Product__Type_Osnd(_u11289, _u11285), _u11291)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_fst__apfst ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_fst__apfst-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u11292, _u11293), hAPP(c_Product__Type_Oapfst(_u11294, _u11292, _u11293, _u11295), _u11296)) = hAPP(_u11295, hAPP(c_Product__Type_Ofst(_u11294, _u11293), _u11296))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_apfst__eq__conv ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_apfst__eq__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u11303, _u11305, _u11307, _u11309), _u11311) != hAPP(c_Product__Type_Oapfst(_u11303, _u11305, _u11307, _u11313), _u11311)) | ( hAPP(_u11309, hAPP(c_Product__Type_Ofst(_u11303, _u11307), _u11311)) = hAPP(_u11313, hAPP(c_Product__Type_Ofst(_u11303, _u11307), _u11311))) )).
% 12.53/12.73 cnf(fact_apfst__eq__conv-2, axiom, ( ( hAPP(_u11310, hAPP(c_Product__Type_Ofst(_u11304, _u11308), _u11312)) != hAPP(_u11314, hAPP(c_Product__Type_Ofst(_u11304, _u11308), _u11312))) | ( hAPP(c_Product__Type_Oapfst(_u11304, _u11306, _u11308, _u11310), _u11312) = hAPP(c_Product__Type_Oapfst(_u11304, _u11306, _u11308, _u11314), _u11312)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_apfst__conv ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_apfst__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u11315, _u11316, _u11317, _u11318), hAPP(hAPP(c_Product__Type_OPair(_u11315, _u11317), _u11319), _u11320)) = hAPP(hAPP(c_Product__Type_OPair(_u11316, _u11317), hAPP(_u11318, _u11319)), _u11320)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_snd__apfst ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_snd__apfst-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u11321, _u11322), hAPP(c_Product__Type_Oapfst(_u11323, _u11321, _u11322, _u11324), _u11325)) = hAPP(c_Product__Type_Osnd(_u11323, _u11322), _u11325)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_apsnd__apfst__commute ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_apsnd__apfst__commute-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u11326, _u11327, _u11328, _u11329), hAPP(c_Product__Type_Oapfst(_u11330, _u11328, _u11326, _u11331), _u11332)) = hAPP(c_Product__Type_Oapfst(_u11330, _u11328, _u11327, _u11331), hAPP(c_Product__Type_Oapsnd(_u11326, _u11327, _u11330, _u11329), _u11332))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_pair__lessI2 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_pair__lessI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11333), _u11334)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11335), _u11336)) | 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), _u11333), _u11335)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11334), _u11336))), c_FunDef_Opair__less)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_max__ext__additive ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_max__ext__additive-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11337, tc_HOL_Obool), tc_fun(_u11337, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11337, tc_HOL_Obool), tc_fun(_u11337, tc_HOL_Obool)), _u11338), _u11339)), c_Wellfounded_Omax__ext(_u11337, _u11340))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11337, tc_HOL_Obool), tc_fun(_u11337, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11337, tc_HOL_Obool), tc_fun(_u11337, tc_HOL_Obool)), _u11341), _u11342)), c_Wellfounded_Omax__ext(_u11337, _u11340))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11337, tc_HOL_Obool), tc_fun(_u11337, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11337, tc_HOL_Obool), tc_fun(_u11337, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11337, tc_HOL_Obool)), _u11338), _u11341)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11337, tc_HOL_Obool)), _u11339), _u11342))), c_Wellfounded_Omax__ext(_u11337, _u11340))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_transfer__nat__int__sum__prod__cong_I2_J ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_transfer__nat__int__sum__prod__cong_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11344) | ~class_Groups_Ocomm__monoid__mult(_u11344) | ( _u11345 != _u11346) | ~c_Nat__Transfer_Onat__set(_u11346) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11344), _u11347), _u11345) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11344), _u11348), _u11346)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem286(_u11348, _u11347, _u11346, _u11345, _u11344))) )).
% 12.53/12.73 cnf(fact_transfer__nat__int__sum__prod__cong_I2_J-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11344) | ~class_Groups_Ocomm__monoid__mult(_u11344) | ( _u11345 != _u11346) | ~c_Nat__Transfer_Onat__set(_u11346) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11344), _u11347), _u11345) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11344), _u11348), _u11346)) | ( hAPP(_u11347, skolem286(_u11348, _u11347, _u11346, _u11345, _u11344)) != hAPP(_u11348, skolem286(_u11348, _u11347, _u11346, _u11345, _u11344))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_pair__lessI1 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_pair__lessI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11349), _u11350)) | 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), _u11349), _u11351)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11350), _u11352))), c_FunDef_Opair__less)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_max__extp__max__ext__eq ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_max__extp__max__ext__eq-1, axiom, ( ~c_Wellfounded_Omax__extp(_u11357, hAPP(hAPP(c_COMBC(_u11357, tc_fun(tc_prod(_u11357, _u11357), tc_HOL_Obool), tc_fun(_u11357, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11357, tc_fun(tc_fun(tc_prod(_u11357, _u11357), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11357, _u11357), tc_HOL_Obool), tc_fun(_u11357, tc_HOL_Obool)), _u11357), c_COMBC(_u11357, tc_fun(tc_prod(_u11357, _u11357), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11357, tc_prod(_u11357, _u11357)), tc_fun(_u11357, tc_fun(tc_fun(tc_prod(_u11357, _u11357), tc_HOL_Obool), tc_HOL_Obool)), _u11357), hAPP(c_COMBB(tc_prod(_u11357, _u11357), tc_fun(tc_fun(tc_prod(_u11357, _u11357), tc_HOL_Obool), tc_HOL_Obool), _u11357), c_member(tc_prod(_u11357, _u11357)))), c_Product__Type_OPair(_u11357, _u11357)))), _u11359), _u11361, _u11363) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11357, tc_HOL_Obool), tc_fun(_u11357, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11357, tc_HOL_Obool), tc_fun(_u11357, tc_HOL_Obool)), _u11361), _u11363)), c_Wellfounded_Omax__ext(_u11357, _u11359))) )).
% 12.53/12.73 cnf(fact_max__extp__max__ext__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11358, tc_HOL_Obool), tc_fun(_u11358, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11358, tc_HOL_Obool), tc_fun(_u11358, tc_HOL_Obool)), _u11362), _u11364)), c_Wellfounded_Omax__ext(_u11358, _u11360))) | c_Wellfounded_Omax__extp(_u11358, hAPP(hAPP(c_COMBC(_u11358, tc_fun(tc_prod(_u11358, _u11358), tc_HOL_Obool), tc_fun(_u11358, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11358, tc_fun(tc_fun(tc_prod(_u11358, _u11358), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11358, _u11358), tc_HOL_Obool), tc_fun(_u11358, tc_HOL_Obool)), _u11358), c_COMBC(_u11358, tc_fun(tc_prod(_u11358, _u11358), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11358, tc_prod(_u11358, _u11358)), tc_fun(_u11358, tc_fun(tc_fun(tc_prod(_u11358, _u11358), tc_HOL_Obool), tc_HOL_Obool)), _u11358), hAPP(c_COMBB(tc_prod(_u11358, _u11358), tc_fun(tc_fun(tc_prod(_u11358, _u11358), tc_HOL_Obool), tc_HOL_Obool), _u11358), c_member(tc_prod(_u11358, _u11358)))), c_Product__Type_OPair(_u11358, _u11358)))), _u11360), _u11362, _u11364) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_pair__leqI2 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_pair__leqI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11365), _u11366)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11367), _u11368)) | 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), _u11365), _u11367)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11366), _u11368))), c_FunDef_Opair__leq)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_smax__insertI ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_smax__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11369), _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)), _u11371), _u11369)), 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)), _u11372), _u11370)), 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)), _u11371), _u11372)), _u11370)), c_FunDef_Omax__strict)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_smax__emptyI ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_smax__emptyI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11373)) | ( _u11373 = 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))), _u11373)), c_FunDef_Omax__strict)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_max__strict__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_max__strict__def-1, axiom, ( ( c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_pair__leqI1 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_pair__leqI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11374), _u11375)) | 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), _u11374), _u11376)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11375), _u11377))), c_FunDef_Opair__leq)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wmin__insertI ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wmin__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11378), _u11379)) | ~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)), _u11378), _u11380)), 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)), _u11379), _u11381)), 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)), _u11379), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11380), _u11381))), c_FunDef_Omin__weak)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wmax__insertI ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wmax__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11382), _u11383)) | ~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)), _u11384), _u11382)), 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)), _u11385), _u11383)), 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)), _u11384), _u11385)), _u11383)), c_FunDef_Omax__weak)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_smin__insertI ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_smin__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11386), _u11387)) | ~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)), _u11386), _u11388)), 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)), _u11387), _u11389)), 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)), _u11387), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11388), _u11389))), c_FunDef_Omin__strict)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wmax__emptyI ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wmax__emptyI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11390)) | 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))), _u11390)), c_FunDef_Omax__weak)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_smin__emptyI ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_smin__emptyI-1, axiom, ( ( _u11391 = 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)), _u11391), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__strict)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wmin__emptyI ( axiom ) converted to clauses:
% 12.53/12.73 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)), _u11392), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__weak)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_max__weak__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_max__weak__def-1, axiom, ( ( c_FunDef_Omax__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__leq)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_min__weak__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_min__weak__def-1, axiom, ( ( c_FunDef_Omin__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__leq)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_min__rpair__set ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_min__rpair__set-1, axiom, ( c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool), tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_FunDef_Omin__strict), c_FunDef_Omin__weak)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_max__rpair__set ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_max__rpair__set-1, axiom, ( c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool), tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_FunDef_Omax__strict), c_FunDef_Omax__weak)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_min__strict__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_min__strict__def-1, axiom, ( ( c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_less__than__iff ( axiom ) converted to clauses:
% 12.53/12.73 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), _u11395), _u11397)), c_Wellfounded_Oless__than)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11395), _u11397)) )).
% 12.53/12.73 cnf(fact_less__than__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11396), _u11398)) | 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), _u11396), _u11398)), c_Wellfounded_Oless__than)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_intrel__iff ( axiom ) converted to clauses:
% 12.53/12.73 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), _u11403), _u11405)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11407), _u11409))), c_Int_Ointrel)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11403), _u11409) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11407), _u11405)) )).
% 12.53/12.73 cnf(fact_intrel__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11404), _u11410) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11408), _u11406)) | 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), _u11404), _u11406)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11408), _u11410))), c_Int_Ointrel)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_rp__inv__image__rp ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_rp__inv__image__rp-1, axiom, ( ~c_FunDef_Oreduction__pair(_u11411, _u11412) | c_FunDef_Oreduction__pair(_u11413, hAPP(hAPP(c_FunDef_Orp__inv__image(_u11411, _u11413), _u11412), _u11414)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_pair__less__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_pair__less__def-1, axiom, ( ( c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_Nat_Onat, c_Wellfounded_Oless__than, c_Wellfounded_Oless__than)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_mlex__prod__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_mlex__prod__def-1, axiom, ( ( c_Wellfounded_Omlex__prod(_u11415, _u11416, _u11417) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, _u11415), _u11415), c_Wellfounded_Olex__prod(tc_Nat_Onat, _u11415, c_Wellfounded_Oless__than, _u11417)), hAPP(hAPP(c_COMBS(_u11415, _u11415, tc_prod(tc_Nat_Onat, _u11415)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u11415, tc_prod(tc_Nat_Onat, _u11415)), _u11415), c_Product__Type_OPair(tc_Nat_Onat, _u11415)), _u11416)), c_COMBI(_u11415)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_rp__inv__image__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_rp__inv__image__def-1, axiom, ( ( c_FunDef_Orp__inv__image(_u11418, _u11419) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(_u11418, _u11418), tc_HOL_Obool), tc_fun(tc_prod(_u11418, _u11418), tc_HOL_Obool), tc_fun(tc_fun(_u11419, _u11418), tc_prod(tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(tc_fun(tc_prod(_u11418, _u11418), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u11418, _u11418), tc_HOL_Obool), tc_fun(tc_fun(_u11419, _u11418), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u11418, _u11418), tc_HOL_Obool), tc_fun(tc_fun(_u11419, _u11418), tc_prod(tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(_u11419, _u11418), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool)), tc_fun(tc_fun(_u11419, _u11418), tc_prod(tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(tc_prod(_u11418, _u11418), tc_HOL_Obool), tc_fun(tc_fun(_u11419, _u11418), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u11418, _u11418), tc_HOL_Obool), tc_fun(tc_fun(_u11419, _u11418), tc_prod(tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool))))), tc_fun(tc_prod(_u11418, _u11418), tc_HOL_Obool)), c_COMBB(tc_fun(tc_fun(_u11419, _u11418), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool)), tc_fun(tc_fun(_u11419, _u11418), tc_prod(tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool))), tc_fun(tc_prod(_u11418, _u11418), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11419, _u11418), tc_fun(tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(_u11419, _u11418), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool)), tc_fun(tc_fun(_u11419, _u11418), tc_prod(tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool)))), tc_fun(tc_prod(_u11418, _u11418), tc_HOL_Obool)), c_COMBS(tc_fun(_u11419, _u11418), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool)))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11419, _u11418), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool)), tc_fun(tc_fun(_u11419, _u11418), tc_fun(tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool)))), tc_fun(tc_prod(_u11418, _u11418), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool))), tc_fun(_u11419, _u11418)), c_Product__Type_OPair(tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool)))), c_Relation_Oinv__image(_u11418, _u11419))))), c_Relation_Oinv__image(_u11418, _u11419)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_equiv__intrel__iff ( axiom ) converted to clauses:
% 12.53/12.73 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)), _u11422), 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)), _u11424), 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)), _u11422), _u11424)), c_Int_Ointrel)) )).
% 12.53/12.73 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)), _u11423), _u11425)), 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)), _u11423), 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)), _u11425), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_measure__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_measure__def-1, axiom, ( ( c_Wellfounded_Omeasure(_u11426) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat, _u11426), c_Wellfounded_Oless__than)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Image__singleton ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Image__singleton-1, axiom, ( ( hAPP(c_Relation_OImage(_u11427, _u11428, _u11429), hAPP(hAPP(c_Set_Oinsert(_u11427), _u11430), c_Orderings_Obot__class_Obot(tc_fun(_u11427, tc_HOL_Obool)))) = hAPP(c_Set_OCollect(_u11428), hAPP(hAPP(c_COMBC(_u11428, tc_fun(tc_prod(_u11427, _u11428), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u11427, _u11428), tc_fun(tc_fun(tc_prod(_u11427, _u11428), tc_HOL_Obool), tc_HOL_Obool), _u11428), c_member(tc_prod(_u11427, _u11428))), hAPP(c_Product__Type_OPair(_u11427, _u11428), _u11430))), _u11429))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Image__singleton__iff ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Image__singleton__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11436), _u11438), hAPP(c_Relation_OImage(_u11440, _u11436, _u11442), hAPP(hAPP(c_Set_Oinsert(_u11440), _u11444), c_Orderings_Obot__class_Obot(tc_fun(_u11440, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11440, _u11436)), hAPP(hAPP(c_Product__Type_OPair(_u11440, _u11436), _u11444), _u11438)), _u11442)) )).
% 12.53/12.73 cnf(fact_Image__singleton__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11441, _u11437)), hAPP(hAPP(c_Product__Type_OPair(_u11441, _u11437), _u11445), _u11439)), _u11443)) | hBOOL(hAPP(hAPP(c_member(_u11437), _u11439), hAPP(c_Relation_OImage(_u11441, _u11437, _u11443), hAPP(hAPP(c_Set_Oinsert(_u11441), _u11445), c_Orderings_Obot__class_Obot(tc_fun(_u11441, tc_HOL_Obool)))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inv__image__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inv__image__def-1, axiom, ( ( hAPP(hAPP(c_Relation_Oinv__image(_u11446, _u11447), _u11448), _u11449) = hAPP(c_Set_OCollect(tc_prod(_u11447, _u11447)), hAPP(c_Product__Type_Oprod_Oprod__case(_u11447, _u11447, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11447, tc_fun(tc_prod(_u11446, _u11446), tc_HOL_Obool), tc_fun(_u11447, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11447, tc_fun(tc_fun(tc_prod(_u11446, _u11446), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11446, _u11446), tc_HOL_Obool), tc_fun(_u11447, tc_HOL_Obool)), _u11447), c_COMBC(_u11447, tc_fun(tc_prod(_u11446, _u11446), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11447, tc_prod(_u11446, _u11446)), tc_fun(_u11447, tc_fun(tc_fun(tc_prod(_u11446, _u11446), tc_HOL_Obool), tc_HOL_Obool)), _u11447), hAPP(c_COMBB(tc_prod(_u11446, _u11446), tc_fun(tc_fun(tc_prod(_u11446, _u11446), tc_HOL_Obool), tc_HOL_Obool), _u11447), c_member(tc_prod(_u11446, _u11446)))), hAPP(hAPP(c_COMBC(_u11447, tc_fun(_u11447, _u11446), tc_fun(_u11447, tc_prod(_u11446, _u11446))), hAPP(hAPP(c_COMBB(tc_fun(_u11446, tc_prod(_u11446, _u11446)), tc_fun(tc_fun(_u11447, _u11446), tc_fun(_u11447, tc_prod(_u11446, _u11446))), _u11447), c_COMBB(_u11446, tc_prod(_u11446, _u11446), _u11447)), hAPP(hAPP(c_COMBB(_u11446, tc_fun(_u11446, tc_prod(_u11446, _u11446)), _u11447), c_Product__Type_OPair(_u11446, _u11446)), _u11449))), _u11449)))), _u11448)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Image__empty ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Image__empty-1, axiom, ( ( hAPP(c_Relation_OImage(_u11450, _u11451, _u11452), c_Orderings_Obot__class_Obot(tc_fun(_u11450, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u11451, tc_HOL_Obool))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Image__Un ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Image__Un-1, axiom, ( ( hAPP(c_Relation_OImage(_u11453, _u11454, _u11455), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11453, tc_HOL_Obool)), _u11456), _u11457)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11454, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11453, _u11454, _u11455), _u11456)), hAPP(c_Relation_OImage(_u11453, _u11454, _u11455), _u11457))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Image__UN ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Image__UN-1, axiom, ( ( hAPP(c_Relation_OImage(_u11458, _u11459, _u11460), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11461, tc_fun(_u11458, tc_HOL_Obool)), _u11462), _u11463)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11461, tc_fun(_u11459, tc_HOL_Obool)), _u11462), hAPP(hAPP(c_COMBB(tc_fun(_u11458, tc_HOL_Obool), tc_fun(_u11459, tc_HOL_Obool), _u11461), c_Relation_OImage(_u11458, _u11459, _u11460)), _u11463))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Image__Int__subset ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Image__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11464, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11465, _u11464, _u11466), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11465, tc_HOL_Obool)), _u11467), _u11468))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11464, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11465, _u11464, _u11466), _u11467)), hAPP(c_Relation_OImage(_u11465, _u11464, _u11466), _u11468)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Image__mono ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Image__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u11469, _u11470), tc_HOL_Obool)), _u11471), _u11472)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11469, tc_HOL_Obool)), _u11473), _u11474)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11470, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11469, _u11470, _u11471), _u11473)), hAPP(c_Relation_OImage(_u11469, _u11470, _u11472), _u11474))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Un__Image ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Un__Image-1, axiom, ( ( hAPP(c_Relation_OImage(_u11475, _u11476, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u11475, _u11476), tc_HOL_Obool)), _u11477), _u11478)), _u11479) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11476, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11475, _u11476, _u11477), _u11479)), hAPP(c_Relation_OImage(_u11475, _u11476, _u11478), _u11479))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_in__inv__image ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_in__inv__image-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u11492, _u11492)), hAPP(hAPP(c_Product__Type_OPair(_u11492, _u11492), hAPP(_u11496, _u11488)), hAPP(_u11496, _u11490))), _u11494)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11486, _u11486)), hAPP(hAPP(c_Product__Type_OPair(_u11486, _u11486), _u11488), _u11490)), hAPP(hAPP(c_Relation_Oinv__image(_u11492, _u11486), _u11494), _u11496))) )).
% 12.53/12.73 cnf(fact_in__inv__image-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11493, _u11493)), hAPP(hAPP(c_Product__Type_OPair(_u11493, _u11493), hAPP(_u11497, _u11489)), hAPP(_u11497, _u11491))), _u11495)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11487, _u11487)), hAPP(hAPP(c_Product__Type_OPair(_u11487, _u11487), _u11489), _u11491)), hAPP(hAPP(c_Relation_Oinv__image(_u11493, _u11487), _u11495), _u11497))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Image__INT__subset ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Image__INT__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11498, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11499, _u11498, _u11500), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11501, tc_fun(_u11499, tc_HOL_Obool)), _u11502), _u11503))), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11501, tc_fun(_u11498, tc_HOL_Obool)), _u11502), hAPP(hAPP(c_COMBB(tc_fun(_u11499, tc_HOL_Obool), tc_fun(_u11498, tc_HOL_Obool), _u11501), c_Relation_OImage(_u11499, _u11498, _u11500)), _u11503)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_rev__ImageI ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_rev__ImageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11504), _u11505), _u11506)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11504, _u11507)), hAPP(hAPP(c_Product__Type_OPair(_u11504, _u11507), _u11505), _u11508)), _u11509)) | hBOOL(hAPP(hAPP(c_member(_u11507), _u11508), hAPP(c_Relation_OImage(_u11504, _u11507, _u11509), _u11506))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Image__iff ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11517), _u11519), hAPP(c_Relation_OImage(_u11521, _u11517, _u11523), _u11525))) | hBOOL(hAPP(hAPP(c_member(_u11521), skolem287(_u11525, _u11523, _u11521, _u11519, _u11517)), _u11525)) )).
% 12.53/12.73 cnf(fact_Image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11517), _u11519), hAPP(c_Relation_OImage(_u11521, _u11517, _u11523), _u11525))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11521, _u11517)), hAPP(hAPP(c_Product__Type_OPair(_u11521, _u11517), skolem287(_u11525, _u11523, _u11521, _u11519, _u11517)), _u11519)), _u11523)) )).
% 12.53/12.73 cnf(fact_Image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11522), _u11511), _u11526)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11522, _u11518)), hAPP(hAPP(c_Product__Type_OPair(_u11522, _u11518), _u11511), _u11520)), _u11524)) | hBOOL(hAPP(hAPP(c_member(_u11518), _u11520), hAPP(c_Relation_OImage(_u11522, _u11518, _u11524), _u11526))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Image__eq__UN ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Image__eq__UN-1, axiom, ( ( hAPP(c_Relation_OImage(_u11527, _u11528, _u11529), _u11530) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11527, tc_fun(_u11528, tc_HOL_Obool)), _u11530), hAPP(hAPP(c_COMBB(tc_fun(_u11527, tc_HOL_Obool), tc_fun(_u11528, tc_HOL_Obool), _u11527), c_Relation_OImage(_u11527, _u11528, _u11529)), hAPP(hAPP(c_COMBC(_u11527, tc_fun(_u11527, tc_HOL_Obool), tc_fun(_u11527, tc_HOL_Obool)), c_Set_Oinsert(_u11527)), c_Orderings_Obot__class_Obot(tc_fun(_u11527, tc_HOL_Obool)))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_of__int ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_of__int-1, axiom, ( ~class_Rings_Oring__1(_u11531) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11531), 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), _u11532), _u11533)), 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(_u11531), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11531), _u11532)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11531), _u11533))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_One__int__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_One__int__def-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_mult ( axiom ) converted to clauses:
% 12.53/12.73 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), _u11534), _u11535)), 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), _u11536), _u11537)), 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), _u11534), _u11536)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11535), _u11537))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11534), _u11537)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11535), _u11536)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Rep__Integ__inverse ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Rep__Integ__inverse-1, axiom, ( ( hAPP(c_Int_OAbs__Integ, hAPP(c_Int_ORep__Integ, _u11538)) = _u11538) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_minus ( axiom ) converted to clauses:
% 12.53/12.73 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), _u11539), _u11540)), 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), _u11540), _u11539)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Zero__int__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Zero__int__def-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_int__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_int__def-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11541) = 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), _u11541), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_add ( axiom ) converted to clauses:
% 12.53/12.73 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), _u11542), _u11543)), 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), _u11544), _u11545)), 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), _u11542), _u11544)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11543), _u11545))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_nat ( axiom ) converted to clauses:
% 12.53/12.73 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), _u11546), _u11547)), 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), _u11546), _u11547)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_minus__int__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_minus__int__def-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11548) = 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, _u11548)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_Nat_Onat), c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), tc_Nat_Onat), c_COMBC(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_prod(tc_Nat_Onat, tc_Nat_Onat)), tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), tc_Nat_Onat), hAPP(c_COMBB(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_Nat_Onat), c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)))), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_prod(tc_Nat_Onat, tc_Nat_Onat)), c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat))))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_less ( axiom ) converted to clauses:
% 12.53/12.73 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), _u11553), _u11555)), 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), _u11557), _u11559)), 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), _u11553), _u11559)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11557), _u11555))) )).
% 12.53/12.73 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), _u11554), _u11560)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11558), _u11556))) | 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), _u11554), _u11556)), 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), _u11558), _u11560)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_le ( axiom ) converted to clauses:
% 12.53/12.73 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), _u11565), _u11567)), 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), _u11569), _u11571)), 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), _u11565), _u11571)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11569), _u11567))) )).
% 12.53/12.73 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), _u11566), _u11572)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11570), _u11568))) | 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), _u11566), _u11568)), 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), _u11570), _u11572)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_irrefl__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_irrefl__def-1, axiom, ( ~c_Relation_Oirrefl(_u11577, _u11579) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11577, _u11577)), hAPP(hAPP(c_Product__Type_OPair(_u11577, _u11577), _u11573), _u11573)), _u11579)) )).
% 12.53/12.73 cnf(fact_irrefl__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u11578, _u11578)), hAPP(hAPP(c_Product__Type_OPair(_u11578, _u11578), skolem288(_u11580, _u11578)), skolem288(_u11580, _u11578))), _u11580)) | c_Relation_Oirrefl(_u11578, _u11580) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_eq__Abs__Integ ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_eq__Abs__Integ-1, axiom, ( ( _u11583 = 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), skolem289(_u11583)), skolem290(_u11583))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Field__insert ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Field__insert-1, axiom, ( ( hAPP(c_Relation_OField(_u11584), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u11584, _u11584)), hAPP(hAPP(c_Product__Type_OPair(_u11584, _u11584), _u11585), _u11586)), _u11587)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11584, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11584), _u11585), hAPP(hAPP(c_Set_Oinsert(_u11584), _u11586), c_Orderings_Obot__class_Obot(tc_fun(_u11584, tc_HOL_Obool))))), hAPP(c_Relation_OField(_u11584), _u11587))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Field__Union ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Field__Union-1, axiom, ( ( hAPP(c_Relation_OField(_u11588), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u11588, _u11588), tc_HOL_Obool), _u11589)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u11588, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_fun(tc_prod(_u11588, _u11588), tc_HOL_Obool), tc_fun(_u11588, tc_HOL_Obool), c_Relation_OField(_u11588)), _u11589))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Field__empty ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Field__empty-1, axiom, ( ( hAPP(c_Relation_OField(_u11590), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11590, _u11590), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u11590, tc_HOL_Obool))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_mono__Field ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_mono__Field-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u11591, _u11591), tc_HOL_Obool)), _u11592), _u11593)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11591, tc_HOL_Obool)), hAPP(c_Relation_OField(_u11591), _u11592)), hAPP(c_Relation_OField(_u11591), _u11593))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Field__Un ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Field__Un-1, axiom, ( ( hAPP(c_Relation_OField(_u11594), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u11594, _u11594), tc_HOL_Obool)), _u11595), _u11596)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11594, tc_HOL_Obool)), hAPP(c_Relation_OField(_u11594), _u11595)), hAPP(c_Relation_OField(_u11594), _u11596))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_finite__Field ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_finite__Field-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u11597, _u11597)), _u11598)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11597), hAPP(c_Relation_OField(_u11597), _u11598))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Id__on__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Id__on__def-1, axiom, ( ( c_Relation_OId__on(_u11599, _u11600) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11599, tc_fun(tc_prod(_u11599, _u11599), tc_HOL_Obool)), _u11600), hAPP(hAPP(c_COMBC(_u11599, tc_fun(tc_prod(_u11599, _u11599), tc_HOL_Obool), tc_fun(tc_prod(_u11599, _u11599), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_prod(_u11599, _u11599), tc_fun(tc_fun(tc_prod(_u11599, _u11599), tc_HOL_Obool), tc_fun(tc_prod(_u11599, _u11599), tc_HOL_Obool)), _u11599), c_Set_Oinsert(tc_prod(_u11599, _u11599))), hAPP(hAPP(c_COMBS(_u11599, _u11599, tc_prod(_u11599, _u11599)), c_Product__Type_OPair(_u11599, _u11599)), c_COMBI(_u11599)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11599, _u11599), tc_HOL_Obool))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_quotient__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_quotient__def-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11601), _u11602), _u11603) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11601, tc_fun(tc_fun(_u11601, tc_HOL_Obool), tc_HOL_Obool)), _u11602), hAPP(hAPP(c_COMBC(_u11601, tc_fun(tc_fun(_u11601, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u11601, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11601, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u11601, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u11601, tc_HOL_Obool), tc_HOL_Obool)), _u11601), c_Set_Oinsert(tc_fun(_u11601, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11601, tc_HOL_Obool), tc_fun(_u11601, tc_HOL_Obool), _u11601), c_Relation_OImage(_u11601, _u11601, _u11603)), hAPP(hAPP(c_COMBC(_u11601, tc_fun(_u11601, tc_HOL_Obool), tc_fun(_u11601, tc_HOL_Obool)), c_Set_Oinsert(_u11601)), c_Orderings_Obot__class_Obot(tc_fun(_u11601, tc_HOL_Obool)))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11601, tc_HOL_Obool), tc_HOL_Obool))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_ImageE ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_ImageE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11605), _u11606), hAPP(c_Relation_OImage(_u11607, _u11605, _u11608), _u11609))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11607, _u11605)), hAPP(hAPP(c_Product__Type_OPair(_u11607, _u11605), skolem291(_u11609, _u11608, _u11607, _u11606, _u11605)), _u11606)), _u11608)) )).
% 12.53/12.73 cnf(fact_ImageE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11605), _u11606), hAPP(c_Relation_OImage(_u11607, _u11605, _u11608), _u11609))) | hBOOL(hAPP(hAPP(c_member(_u11607), skolem291(_u11609, _u11608, _u11607, _u11606, _u11605)), _u11609)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_quotient__is__empty ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_quotient__is__empty-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11613), _u11615), _u11617) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11613, tc_HOL_Obool), tc_HOL_Obool))) | ( _u11615 = c_Orderings_Obot__class_Obot(tc_fun(_u11613, tc_HOL_Obool))) )).
% 12.53/12.73 cnf(fact_quotient__is__empty-2, axiom, ( ( _u11616 != c_Orderings_Obot__class_Obot(tc_fun(_u11614, tc_HOL_Obool))) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11614), _u11616), _u11618) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11614, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_quotient__is__empty2 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_quotient__is__empty2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11622, tc_HOL_Obool), tc_HOL_Obool)) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11622), _u11624), _u11626)) | ( _u11624 = c_Orderings_Obot__class_Obot(tc_fun(_u11622, tc_HOL_Obool))) )).
% 12.53/12.73 cnf(fact_quotient__is__empty2-2, axiom, ( ( _u11625 != c_Orderings_Obot__class_Obot(tc_fun(_u11623, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11623, tc_HOL_Obool), tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11623), _u11625), _u11627)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_quotient__empty ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_quotient__empty-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11628), c_Orderings_Obot__class_Obot(tc_fun(_u11628, tc_HOL_Obool))), _u11629) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11628, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Id__on__def_H ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Id__on__def_H-1, axiom, ( ( c_Relation_OId__on(_u11630, _u11631) = hAPP(c_Product__Type_Oprod_Oprod__case(_u11630, _u11630, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u11630, tc_HOL_Obool, tc_fun(_u11630, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11630, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_HOL_Obool, tc_fun(_u11630, tc_HOL_Obool)), _u11630), c_COMBC(_u11630, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11630, tc_HOL_Obool), tc_fun(_u11630, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u11630), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11630), c_fconj)), c_fequal))), _u11631))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Id__on__empty ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Id__on__empty-1, axiom, ( ( c_Relation_OId__on(_u11632, c_Orderings_Obot__class_Obot(tc_fun(_u11632, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11632, _u11632), tc_HOL_Obool))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Image__Id__on ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Image__Id__on-1, axiom, ( ( hAPP(c_Relation_OImage(_u11633, _u11633, c_Relation_OId__on(_u11633, _u11634)), _u11635) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11633, tc_HOL_Obool)), _u11634), _u11635)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_quotientI ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_quotientI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11636), _u11637), _u11638)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11636, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11636, _u11636, _u11639), hAPP(hAPP(c_Set_Oinsert(_u11636), _u11637), c_Orderings_Obot__class_Obot(tc_fun(_u11636, tc_HOL_Obool))))), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11636), _u11638), _u11639))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Id__on__eqI ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Id__on__eqI-1, axiom, ( ( _u11640 != _u11641) | ~hBOOL(hAPP(hAPP(c_member(_u11642), _u11640), _u11643)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11642, _u11642)), hAPP(hAPP(c_Product__Type_OPair(_u11642, _u11642), _u11640), _u11641)), c_Relation_OId__on(_u11642, _u11643))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Id__on__iff ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Id__on__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11648, _u11648)), hAPP(hAPP(c_Product__Type_OPair(_u11648, _u11648), _u11650), _u11652)), c_Relation_OId__on(_u11648, _u11654))) | ( _u11650 = _u11652) )).
% 12.53/12.73 cnf(fact_Id__on__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11648, _u11648)), hAPP(hAPP(c_Product__Type_OPair(_u11648, _u11648), _u11650), _u11652)), c_Relation_OId__on(_u11648, _u11654))) | hBOOL(hAPP(hAPP(c_member(_u11648), _u11650), _u11654)) )).
% 12.53/12.73 cnf(fact_Id__on__iff-3, axiom, ( ( _u11651 != _u11653) | ~hBOOL(hAPP(hAPP(c_member(_u11649), _u11651), _u11655)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11649, _u11649)), hAPP(hAPP(c_Product__Type_OPair(_u11649, _u11649), _u11651), _u11653)), c_Relation_OId__on(_u11649, _u11655))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_singleton__quotient ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_singleton__quotient-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11656), hAPP(hAPP(c_Set_Oinsert(_u11656), _u11657), c_Orderings_Obot__class_Obot(tc_fun(_u11656, tc_HOL_Obool)))), _u11658) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u11656, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11656, _u11656, _u11658), hAPP(hAPP(c_Set_Oinsert(_u11656), _u11657), c_Orderings_Obot__class_Obot(tc_fun(_u11656, tc_HOL_Obool))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11656, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_equiv__class__nondisjoint ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_equiv__class__nondisjoint-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11659, _u11660, _u11661) | ~hBOOL(hAPP(hAPP(c_member(_u11659), _u11662), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11659, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11659, _u11659, _u11661), hAPP(hAPP(c_Set_Oinsert(_u11659), _u11663), c_Orderings_Obot__class_Obot(tc_fun(_u11659, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u11659, _u11659, _u11661), hAPP(hAPP(c_Set_Oinsert(_u11659), _u11664), c_Orderings_Obot__class_Obot(tc_fun(_u11659, tc_HOL_Obool))))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11659, _u11659)), hAPP(hAPP(c_Product__Type_OPair(_u11659, _u11659), _u11663), _u11664)), _u11661)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_subset__equiv__class ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_subset__equiv__class-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11665, _u11666, _u11667) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11665, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11665, _u11665, _u11667), hAPP(hAPP(c_Set_Oinsert(_u11665), _u11668), c_Orderings_Obot__class_Obot(tc_fun(_u11665, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u11665, _u11665, _u11667), hAPP(hAPP(c_Set_Oinsert(_u11665), _u11669), c_Orderings_Obot__class_Obot(tc_fun(_u11665, tc_HOL_Obool)))))) | ~hBOOL(hAPP(hAPP(c_member(_u11665), _u11668), _u11666)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11665, _u11665)), hAPP(hAPP(c_Product__Type_OPair(_u11665, _u11665), _u11669), _u11668)), _u11667)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_quotientE ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_quotientE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11671, tc_HOL_Obool)), _u11672), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11671), _u11673), _u11674))) | ( _u11672 = hAPP(c_Relation_OImage(_u11671, _u11671, _u11674), hAPP(hAPP(c_Set_Oinsert(_u11671), skolem292(_u11674, _u11673, _u11672, _u11671)), c_Orderings_Obot__class_Obot(tc_fun(_u11671, tc_HOL_Obool))))) )).
% 12.53/12.73 cnf(fact_quotientE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11671, tc_HOL_Obool)), _u11672), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11671), _u11673), _u11674))) | hBOOL(hAPP(hAPP(c_member(_u11671), skolem292(_u11674, _u11673, _u11672, _u11671)), _u11673)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_equiv__intrel ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_equiv__intrel-1, axiom, ( c_Equiv__Relations_Oequiv(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Int_Ointrel) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Union__quotient ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Union__quotient-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11675, _u11676, _u11677) | ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u11675, tc_HOL_Obool), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11675), _u11676), _u11677)) = _u11676) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_equiv__class__self ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_equiv__class__self-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11678, _u11679, _u11680) | ~hBOOL(hAPP(hAPP(c_member(_u11678), _u11681), _u11679)) | hBOOL(hAPP(hAPP(c_member(_u11678), _u11681), hAPP(c_Relation_OImage(_u11678, _u11678, _u11680), hAPP(hAPP(c_Set_Oinsert(_u11678), _u11681), c_Orderings_Obot__class_Obot(tc_fun(_u11678, tc_HOL_Obool)))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_quotient__disj ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_quotient__disj-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11682, _u11683, _u11684) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11682, tc_HOL_Obool)), _u11685), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11682), _u11683), _u11684))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11682, tc_HOL_Obool)), _u11686), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11682), _u11683), _u11684))) | ( _u11685 = _u11686) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11682, tc_HOL_Obool)), _u11685), _u11686) = c_Orderings_Obot__class_Obot(tc_fun(_u11682, tc_HOL_Obool))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_equiv__class__eq ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_equiv__class__eq-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11687, _u11688, _u11689) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11687, _u11687)), hAPP(hAPP(c_Product__Type_OPair(_u11687, _u11687), _u11690), _u11691)), _u11689)) | ( hAPP(c_Relation_OImage(_u11687, _u11687, _u11689), hAPP(hAPP(c_Set_Oinsert(_u11687), _u11690), c_Orderings_Obot__class_Obot(tc_fun(_u11687, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u11687, _u11687, _u11689), hAPP(hAPP(c_Set_Oinsert(_u11687), _u11691), c_Orderings_Obot__class_Obot(tc_fun(_u11687, tc_HOL_Obool))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_quotient__eq__iff ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_quotient__eq__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11692, _u11693, _u11694) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11692, tc_HOL_Obool)), _u11695), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11692), _u11693), _u11694))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11692, tc_HOL_Obool)), _u11696), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11692), _u11693), _u11694))) | ~hBOOL(hAPP(hAPP(c_member(_u11692), _u11697), _u11695)) | ~hBOOL(hAPP(hAPP(c_member(_u11692), _u11698), _u11696)) | ( _u11695 != _u11696) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11692, _u11692)), hAPP(hAPP(c_Product__Type_OPair(_u11692, _u11692), _u11697), _u11698)), _u11694)) )).
% 12.53/12.73 cnf(fact_quotient__eq__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u11692, _u11693, _u11694) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11692, tc_HOL_Obool)), _u11695), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11692), _u11693), _u11694))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11692, tc_HOL_Obool)), _u11696), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11692), _u11693), _u11694))) | ~hBOOL(hAPP(hAPP(c_member(_u11692), _u11697), _u11695)) | ~hBOOL(hAPP(hAPP(c_member(_u11692), _u11698), _u11696)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11692, _u11692)), hAPP(hAPP(c_Product__Type_OPair(_u11692, _u11692), _u11697), _u11698)), _u11694)) | ( _u11695 = _u11696) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_quotient__eqI ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_quotient__eqI-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11699, _u11700, _u11701) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11699, tc_HOL_Obool)), _u11702), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11699), _u11700), _u11701))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11699, tc_HOL_Obool)), _u11703), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11699), _u11700), _u11701))) | ~hBOOL(hAPP(hAPP(c_member(_u11699), _u11704), _u11702)) | ~hBOOL(hAPP(hAPP(c_member(_u11699), _u11705), _u11703)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11699, _u11699)), hAPP(hAPP(c_Product__Type_OPair(_u11699, _u11699), _u11704), _u11705)), _u11701)) | ( _u11702 = _u11703) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_equiv__class__eq__iff ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_equiv__class__eq__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11706, _u11707, _u11708) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11706, _u11706)), hAPP(hAPP(c_Product__Type_OPair(_u11706, _u11706), _u11709), _u11710)), _u11708)) | ( hAPP(c_Relation_OImage(_u11706, _u11706, _u11708), hAPP(hAPP(c_Set_Oinsert(_u11706), _u11709), c_Orderings_Obot__class_Obot(tc_fun(_u11706, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u11706, _u11706, _u11708), hAPP(hAPP(c_Set_Oinsert(_u11706), _u11710), c_Orderings_Obot__class_Obot(tc_fun(_u11706, tc_HOL_Obool))))) )).
% 12.53/12.73 cnf(fact_equiv__class__eq__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u11706, _u11707, _u11708) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11706, _u11706)), hAPP(hAPP(c_Product__Type_OPair(_u11706, _u11706), _u11709), _u11710)), _u11708)) | hBOOL(hAPP(hAPP(c_member(_u11706), _u11709), _u11707)) )).
% 12.53/12.73 cnf(fact_equiv__class__eq__iff-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u11706, _u11707, _u11708) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11706, _u11706)), hAPP(hAPP(c_Product__Type_OPair(_u11706, _u11706), _u11709), _u11710)), _u11708)) | hBOOL(hAPP(hAPP(c_member(_u11706), _u11710), _u11707)) )).
% 12.53/12.73 cnf(fact_equiv__class__eq__iff-4, axiom, ( ~c_Equiv__Relations_Oequiv(_u11706, _u11707, _u11708) | ( hAPP(c_Relation_OImage(_u11706, _u11706, _u11708), hAPP(hAPP(c_Set_Oinsert(_u11706), _u11709), c_Orderings_Obot__class_Obot(tc_fun(_u11706, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u11706, _u11706, _u11708), hAPP(hAPP(c_Set_Oinsert(_u11706), _u11710), c_Orderings_Obot__class_Obot(tc_fun(_u11706, tc_HOL_Obool))))) | ~hBOOL(hAPP(hAPP(c_member(_u11706), _u11709), _u11707)) | ~hBOOL(hAPP(hAPP(c_member(_u11706), _u11710), _u11707)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11706, _u11706)), hAPP(hAPP(c_Product__Type_OPair(_u11706, _u11706), _u11709), _u11710)), _u11708)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_eq__equiv__class__iff ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_eq__equiv__class__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11711, _u11712, _u11713) | ~hBOOL(hAPP(hAPP(c_member(_u11711), _u11714), _u11712)) | ~hBOOL(hAPP(hAPP(c_member(_u11711), _u11715), _u11712)) | ( hAPP(c_Relation_OImage(_u11711, _u11711, _u11713), hAPP(hAPP(c_Set_Oinsert(_u11711), _u11714), c_Orderings_Obot__class_Obot(tc_fun(_u11711, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u11711, _u11711, _u11713), hAPP(hAPP(c_Set_Oinsert(_u11711), _u11715), c_Orderings_Obot__class_Obot(tc_fun(_u11711, tc_HOL_Obool))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11711, _u11711)), hAPP(hAPP(c_Product__Type_OPair(_u11711, _u11711), _u11714), _u11715)), _u11713)) )).
% 12.53/12.73 cnf(fact_eq__equiv__class__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u11711, _u11712, _u11713) | ~hBOOL(hAPP(hAPP(c_member(_u11711), _u11714), _u11712)) | ~hBOOL(hAPP(hAPP(c_member(_u11711), _u11715), _u11712)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11711, _u11711)), hAPP(hAPP(c_Product__Type_OPair(_u11711, _u11711), _u11714), _u11715)), _u11713)) | ( hAPP(c_Relation_OImage(_u11711, _u11711, _u11713), hAPP(hAPP(c_Set_Oinsert(_u11711), _u11714), c_Orderings_Obot__class_Obot(tc_fun(_u11711, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u11711, _u11711, _u11713), hAPP(hAPP(c_Set_Oinsert(_u11711), _u11715), c_Orderings_Obot__class_Obot(tc_fun(_u11711, tc_HOL_Obool))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_eq__equiv__class ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_eq__equiv__class-1, axiom, ( ( hAPP(c_Relation_OImage(_u11716, _u11716, _u11717), hAPP(hAPP(c_Set_Oinsert(_u11716), _u11718), c_Orderings_Obot__class_Obot(tc_fun(_u11716, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u11716, _u11716, _u11717), hAPP(hAPP(c_Set_Oinsert(_u11716), _u11719), c_Orderings_Obot__class_Obot(tc_fun(_u11716, tc_HOL_Obool))))) | ~c_Equiv__Relations_Oequiv(_u11716, _u11720, _u11717) | ~hBOOL(hAPP(hAPP(c_member(_u11716), _u11719), _u11720)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11716, _u11716)), hAPP(hAPP(c_Product__Type_OPair(_u11716, _u11716), _u11718), _u11719)), _u11717)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_equiv__class__subset ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_equiv__class__subset-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11721, _u11722, _u11723) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11721, _u11721)), hAPP(hAPP(c_Product__Type_OPair(_u11721, _u11721), _u11724), _u11725)), _u11723)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11721, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11721, _u11721, _u11723), hAPP(hAPP(c_Set_Oinsert(_u11721), _u11724), c_Orderings_Obot__class_Obot(tc_fun(_u11721, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u11721, _u11721, _u11723), hAPP(hAPP(c_Set_Oinsert(_u11721), _u11725), c_Orderings_Obot__class_Obot(tc_fun(_u11721, tc_HOL_Obool)))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_eq__equiv__class__iff2 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_eq__equiv__class__iff2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11726, _u11727, _u11728) | ~hBOOL(hAPP(hAPP(c_member(_u11726), _u11729), _u11727)) | ~hBOOL(hAPP(hAPP(c_member(_u11726), _u11730), _u11727)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11726), hAPP(hAPP(c_Set_Oinsert(_u11726), _u11729), c_Orderings_Obot__class_Obot(tc_fun(_u11726, tc_HOL_Obool)))), _u11728) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11726), hAPP(hAPP(c_Set_Oinsert(_u11726), _u11730), c_Orderings_Obot__class_Obot(tc_fun(_u11726, tc_HOL_Obool)))), _u11728)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11726, _u11726)), hAPP(hAPP(c_Product__Type_OPair(_u11726, _u11726), _u11729), _u11730)), _u11728)) )).
% 12.53/12.73 cnf(fact_eq__equiv__class__iff2-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u11726, _u11727, _u11728) | ~hBOOL(hAPP(hAPP(c_member(_u11726), _u11729), _u11727)) | ~hBOOL(hAPP(hAPP(c_member(_u11726), _u11730), _u11727)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11726, _u11726)), hAPP(hAPP(c_Product__Type_OPair(_u11726, _u11726), _u11729), _u11730)), _u11728)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11726), hAPP(hAPP(c_Set_Oinsert(_u11726), _u11729), c_Orderings_Obot__class_Obot(tc_fun(_u11726, tc_HOL_Obool)))), _u11728) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11726), hAPP(hAPP(c_Set_Oinsert(_u11726), _u11730), c_Orderings_Obot__class_Obot(tc_fun(_u11726, tc_HOL_Obool)))), _u11728)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_UN__equiv__class ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_UN__equiv__class-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11731, _u11732, _u11733) | ~c_Equiv__Relations_Ocongruent(_u11731, tc_fun(_u11734, tc_HOL_Obool), _u11733, _u11735) | ~hBOOL(hAPP(hAPP(c_member(_u11731), _u11736), _u11732)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11731, tc_fun(_u11734, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11731, _u11731, _u11733), hAPP(hAPP(c_Set_Oinsert(_u11731), _u11736), c_Orderings_Obot__class_Obot(tc_fun(_u11731, tc_HOL_Obool))))), _u11735) = hAPP(_u11735, _u11736)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_UN__equiv__class2 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_UN__equiv__class2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11737, _u11738, _u11739) | ~c_Equiv__Relations_Oequiv(_u11740, _u11741, _u11742) | ~c_Equiv__Relations_Ocongruent2(_u11737, _u11740, tc_fun(_u11743, tc_HOL_Obool), _u11739, _u11742, _u11744) | ~hBOOL(hAPP(hAPP(c_member(_u11737), _u11745), _u11738)) | ~hBOOL(hAPP(hAPP(c_member(_u11740), _u11746), _u11741)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11737, tc_fun(_u11743, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11737, _u11737, _u11739), hAPP(hAPP(c_Set_Oinsert(_u11737), _u11745), c_Orderings_Obot__class_Obot(tc_fun(_u11737, tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(_u11740, tc_fun(_u11743, tc_HOL_Obool)), tc_fun(_u11743, tc_HOL_Obool), _u11737), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11740, tc_fun(_u11743, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11740, _u11740, _u11742), hAPP(hAPP(c_Set_Oinsert(_u11740), _u11746), c_Orderings_Obot__class_Obot(tc_fun(_u11740, tc_HOL_Obool)))))), _u11744)) = hAPP(hAPP(_u11744, _u11745), _u11746)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_equivp__equiv ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_equivp__equiv-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11749, c_Orderings_Otop__class_Otop(tc_fun(_u11749, tc_HOL_Obool)), _u11751) | c_Equiv__Relations_Oequivp(_u11749, hAPP(hAPP(c_COMBC(_u11749, tc_fun(tc_prod(_u11749, _u11749), tc_HOL_Obool), tc_fun(_u11749, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11749, tc_fun(tc_fun(tc_prod(_u11749, _u11749), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11749, _u11749), tc_HOL_Obool), tc_fun(_u11749, tc_HOL_Obool)), _u11749), c_COMBC(_u11749, tc_fun(tc_prod(_u11749, _u11749), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11749, tc_prod(_u11749, _u11749)), tc_fun(_u11749, tc_fun(tc_fun(tc_prod(_u11749, _u11749), tc_HOL_Obool), tc_HOL_Obool)), _u11749), hAPP(c_COMBB(tc_prod(_u11749, _u11749), tc_fun(tc_fun(tc_prod(_u11749, _u11749), tc_HOL_Obool), tc_HOL_Obool), _u11749), c_member(tc_prod(_u11749, _u11749)))), c_Product__Type_OPair(_u11749, _u11749)))), _u11751)) )).
% 12.53/12.73 cnf(fact_equivp__equiv-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u11750, hAPP(hAPP(c_COMBC(_u11750, tc_fun(tc_prod(_u11750, _u11750), tc_HOL_Obool), tc_fun(_u11750, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11750, tc_fun(tc_fun(tc_prod(_u11750, _u11750), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11750, _u11750), tc_HOL_Obool), tc_fun(_u11750, tc_HOL_Obool)), _u11750), c_COMBC(_u11750, tc_fun(tc_prod(_u11750, _u11750), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11750, tc_prod(_u11750, _u11750)), tc_fun(_u11750, tc_fun(tc_fun(tc_prod(_u11750, _u11750), tc_HOL_Obool), tc_HOL_Obool)), _u11750), hAPP(c_COMBB(tc_prod(_u11750, _u11750), tc_fun(tc_fun(tc_prod(_u11750, _u11750), tc_HOL_Obool), tc_HOL_Obool), _u11750), c_member(tc_prod(_u11750, _u11750)))), c_Product__Type_OPair(_u11750, _u11750)))), _u11752)) | c_Equiv__Relations_Oequiv(_u11750, c_Orderings_Otop__class_Otop(tc_fun(_u11750, tc_HOL_Obool)), _u11752) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_equivp__transp ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_equivp__transp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u11754, _u11755), _u11756)) | ~hBOOL(hAPP(hAPP(_u11754, _u11756), _u11757)) | hBOOL(hAPP(hAPP(_u11754, _u11755), _u11757)) | ~c_Equiv__Relations_Oequivp(_u11753, _u11754) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_equivp__symp ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_equivp__symp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u11759, _u11760), _u11761)) | hBOOL(hAPP(hAPP(_u11759, _u11761), _u11760)) | ~c_Equiv__Relations_Oequivp(_u11758, _u11759) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_equivp__reflp ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_equivp__reflp-1, axiom, ( hBOOL(hAPP(hAPP(_u11763, _u11764), _u11764)) | ~c_Equiv__Relations_Oequivp(_u11762, _u11763) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_equivp__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_equivp__def-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u11779, _u11781) | ~hBOOL(hAPP(hAPP(_u11781, _u11773), _u11771)) | ( hAPP(_u11781, _u11773) = hAPP(_u11781, _u11771)) )).
% 12.53/12.73 cnf(fact_equivp__def-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u11779, _u11781) | ( hAPP(_u11781, _u11774) != hAPP(_u11781, _u11772)) | hBOOL(hAPP(hAPP(_u11781, _u11774), _u11772)) )).
% 12.53/12.73 cnf(fact_equivp__def-3, axiom, ( c_Equiv__Relations_Oequivp(_u11780, _u11782) | hBOOL(hAPP(hAPP(_u11782, skolem293(_u11782)), skolem294(_u11782))) | ( hAPP(_u11782, skolem295(_u11782)) = hAPP(_u11782, skolem296(_u11782))) )).
% 12.53/12.73 cnf(fact_equivp__def-4, axiom, ( c_Equiv__Relations_Oequivp(_u11780, _u11782) | hBOOL(hAPP(hAPP(_u11782, skolem293(_u11782)), skolem294(_u11782))) | ~hBOOL(hAPP(hAPP(_u11782, skolem295(_u11782)), skolem296(_u11782))) )).
% 12.53/12.73 cnf(fact_equivp__def-5, axiom, ( c_Equiv__Relations_Oequivp(_u11780, _u11782) | ( hAPP(_u11782, skolem293(_u11782)) != hAPP(_u11782, skolem294(_u11782))) | ( hAPP(_u11782, skolem295(_u11782)) = hAPP(_u11782, skolem296(_u11782))) )).
% 12.53/12.73 cnf(fact_equivp__def-6, axiom, ( c_Equiv__Relations_Oequivp(_u11780, _u11782) | ( hAPP(_u11782, skolem293(_u11782)) != hAPP(_u11782, skolem294(_u11782))) | ~hBOOL(hAPP(hAPP(_u11782, skolem295(_u11782)), skolem296(_u11782))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_identity__equivp ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_identity__equivp-1, axiom, ( c_Equiv__Relations_Oequivp(_u11783, c_fequal) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_congruent2__implies__congruent ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_congruent2__implies__congruent-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11784, _u11785, _u11786) | ~c_Equiv__Relations_Ocongruent2(_u11784, _u11787, _u11788, _u11786, _u11789, _u11790) | ~hBOOL(hAPP(hAPP(c_member(_u11784), _u11791), _u11785)) | c_Equiv__Relations_Ocongruent(_u11787, _u11788, _u11789, hAPP(_u11790, _u11791)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_congruent2D ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_congruent2D-1, axiom, ( ~c_Equiv__Relations_Ocongruent2(_u11792, _u11793, _u11794, _u11795, _u11796, _u11797) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11792, _u11792)), hAPP(hAPP(c_Product__Type_OPair(_u11792, _u11792), _u11798), _u11799)), _u11795)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11793, _u11793)), hAPP(hAPP(c_Product__Type_OPair(_u11793, _u11793), _u11800), _u11801)), _u11796)) | ( hAPP(hAPP(_u11797, _u11798), _u11800) = hAPP(hAPP(_u11797, _u11799), _u11801)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_congruentD ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_congruentD-1, axiom, ( ~c_Equiv__Relations_Ocongruent(_u11802, _u11803, _u11804, _u11805) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11802, _u11802)), hAPP(hAPP(c_Product__Type_OPair(_u11802, _u11802), _u11806), _u11807)), _u11804)) | ( hAPP(_u11805, _u11806) = hAPP(_u11805, _u11807)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_congruent2__implies__congruent__UN ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_congruent2__implies__congruent__UN-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11808, _u11809, _u11810) | ~c_Equiv__Relations_Oequiv(_u11811, _u11812, _u11813) | ~c_Equiv__Relations_Ocongruent2(_u11808, _u11811, tc_fun(_u11814, tc_HOL_Obool), _u11810, _u11813, _u11815) | ~hBOOL(hAPP(hAPP(c_member(_u11811), _u11816), _u11812)) | c_Equiv__Relations_Ocongruent(_u11808, tc_fun(_u11814, tc_HOL_Obool), _u11810, hAPP(hAPP(c_COMBB(tc_fun(_u11811, tc_fun(_u11814, tc_HOL_Obool)), tc_fun(_u11814, tc_HOL_Obool), _u11808), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11811, tc_fun(_u11814, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11811, _u11811, _u11813), hAPP(hAPP(c_Set_Oinsert(_u11811), _u11816), c_Orderings_Obot__class_Obot(tc_fun(_u11811, tc_HOL_Obool)))))), _u11815)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_UN__equiv__class__inject ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_UN__equiv__class__inject-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11819, _u11820, _u11821) | ~c_Equiv__Relations_Ocongruent(_u11819, tc_fun(_u11822, tc_HOL_Obool), _u11821, _u11823) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11819, tc_fun(_u11822, tc_HOL_Obool)), _u11824), _u11823) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11819, tc_fun(_u11822, tc_HOL_Obool)), _u11825), _u11823)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11819, tc_HOL_Obool)), _u11824), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11819), _u11820), _u11821))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11819, tc_HOL_Obool)), _u11825), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11819), _u11820), _u11821))) | ( _u11824 = _u11825) | hBOOL(hAPP(hAPP(c_member(_u11819), skolem297(_u11825, _u11824, _u11823, _u11822, _u11821, _u11820, _u11819)), _u11820)) )).
% 12.53/12.73 cnf(fact_UN__equiv__class__inject-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u11819, _u11820, _u11821) | ~c_Equiv__Relations_Ocongruent(_u11819, tc_fun(_u11822, tc_HOL_Obool), _u11821, _u11823) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11819, tc_fun(_u11822, tc_HOL_Obool)), _u11824), _u11823) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11819, tc_fun(_u11822, tc_HOL_Obool)), _u11825), _u11823)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11819, tc_HOL_Obool)), _u11824), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11819), _u11820), _u11821))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11819, tc_HOL_Obool)), _u11825), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11819), _u11820), _u11821))) | ( _u11824 = _u11825) | hBOOL(hAPP(hAPP(c_member(_u11819), skolem298(_u11825, _u11824, _u11823, _u11822, _u11821, _u11820, _u11819)), _u11820)) )).
% 12.53/12.73 cnf(fact_UN__equiv__class__inject-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u11819, _u11820, _u11821) | ~c_Equiv__Relations_Ocongruent(_u11819, tc_fun(_u11822, tc_HOL_Obool), _u11821, _u11823) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11819, tc_fun(_u11822, tc_HOL_Obool)), _u11824), _u11823) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11819, tc_fun(_u11822, tc_HOL_Obool)), _u11825), _u11823)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11819, tc_HOL_Obool)), _u11824), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11819), _u11820), _u11821))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11819, tc_HOL_Obool)), _u11825), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11819), _u11820), _u11821))) | ( _u11824 = _u11825) | ( hAPP(_u11823, skolem297(_u11825, _u11824, _u11823, _u11822, _u11821, _u11820, _u11819)) = hAPP(_u11823, skolem298(_u11825, _u11824, _u11823, _u11822, _u11821, _u11820, _u11819))) )).
% 12.53/12.73 cnf(fact_UN__equiv__class__inject-4, axiom, ( ~c_Equiv__Relations_Oequiv(_u11819, _u11820, _u11821) | ~c_Equiv__Relations_Ocongruent(_u11819, tc_fun(_u11822, tc_HOL_Obool), _u11821, _u11823) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11819, tc_fun(_u11822, tc_HOL_Obool)), _u11824), _u11823) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11819, tc_fun(_u11822, tc_HOL_Obool)), _u11825), _u11823)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11819, tc_HOL_Obool)), _u11824), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11819), _u11820), _u11821))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11819, tc_HOL_Obool)), _u11825), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11819), _u11820), _u11821))) | ( _u11824 = _u11825) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11819, _u11819)), hAPP(hAPP(c_Product__Type_OPair(_u11819, _u11819), skolem297(_u11825, _u11824, _u11823, _u11822, _u11821, _u11820, _u11819)), skolem298(_u11825, _u11824, _u11823, _u11822, _u11821, _u11820, _u11819))), _u11821)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_UN__equiv__class__type2 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_UN__equiv__class__type2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11828, _u11829, _u11830) | ~c_Equiv__Relations_Oequiv(_u11831, _u11832, _u11833) | ~c_Equiv__Relations_Ocongruent2(_u11828, _u11831, tc_fun(_u11834, tc_HOL_Obool), _u11830, _u11833, _u11835) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11828, tc_HOL_Obool)), _u11836), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11828), _u11829), _u11830))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11831, tc_HOL_Obool)), _u11837), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11831), _u11832), _u11833))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11834, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11828, tc_fun(_u11834, tc_HOL_Obool)), _u11836), hAPP(hAPP(c_COMBB(tc_fun(_u11831, tc_fun(_u11834, tc_HOL_Obool)), tc_fun(_u11834, tc_HOL_Obool), _u11828), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11831, tc_fun(_u11834, tc_HOL_Obool)), _u11837)), _u11835))), _u11838)) | hBOOL(hAPP(hAPP(c_member(_u11828), skolem299(_u11838, _u11837, _u11836, _u11835, _u11834, _u11833, _u11832, _u11831, _u11830, _u11829, _u11828)), _u11829)) )).
% 12.53/12.73 cnf(fact_UN__equiv__class__type2-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u11828, _u11829, _u11830) | ~c_Equiv__Relations_Oequiv(_u11831, _u11832, _u11833) | ~c_Equiv__Relations_Ocongruent2(_u11828, _u11831, tc_fun(_u11834, tc_HOL_Obool), _u11830, _u11833, _u11835) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11828, tc_HOL_Obool)), _u11836), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11828), _u11829), _u11830))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11831, tc_HOL_Obool)), _u11837), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11831), _u11832), _u11833))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11834, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11828, tc_fun(_u11834, tc_HOL_Obool)), _u11836), hAPP(hAPP(c_COMBB(tc_fun(_u11831, tc_fun(_u11834, tc_HOL_Obool)), tc_fun(_u11834, tc_HOL_Obool), _u11828), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11831, tc_fun(_u11834, tc_HOL_Obool)), _u11837)), _u11835))), _u11838)) | hBOOL(hAPP(hAPP(c_member(_u11831), skolem300(_u11838, _u11837, _u11836, _u11835, _u11834, _u11833, _u11832, _u11831, _u11830, _u11829, _u11828)), _u11832)) )).
% 12.53/12.73 cnf(fact_UN__equiv__class__type2-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u11828, _u11829, _u11830) | ~c_Equiv__Relations_Oequiv(_u11831, _u11832, _u11833) | ~c_Equiv__Relations_Ocongruent2(_u11828, _u11831, tc_fun(_u11834, tc_HOL_Obool), _u11830, _u11833, _u11835) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11828, tc_HOL_Obool)), _u11836), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11828), _u11829), _u11830))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11831, tc_HOL_Obool)), _u11837), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11831), _u11832), _u11833))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11834, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11828, tc_fun(_u11834, tc_HOL_Obool)), _u11836), hAPP(hAPP(c_COMBB(tc_fun(_u11831, tc_fun(_u11834, tc_HOL_Obool)), tc_fun(_u11834, tc_HOL_Obool), _u11828), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11831, tc_fun(_u11834, tc_HOL_Obool)), _u11837)), _u11835))), _u11838)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11834, tc_HOL_Obool)), hAPP(hAPP(_u11835, skolem299(_u11838, _u11837, _u11836, _u11835, _u11834, _u11833, _u11832, _u11831, _u11830, _u11829, _u11828)), skolem300(_u11838, _u11837, _u11836, _u11835, _u11834, _u11833, _u11832, _u11831, _u11830, _u11829, _u11828))), _u11838)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_UN__equiv__class__type ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_UN__equiv__class__type-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11840, _u11841, _u11842) | ~c_Equiv__Relations_Ocongruent(_u11840, tc_fun(_u11843, tc_HOL_Obool), _u11842, _u11844) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11840, tc_HOL_Obool)), _u11845), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11840), _u11841), _u11842))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11843, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11840, tc_fun(_u11843, tc_HOL_Obool)), _u11845), _u11844)), _u11846)) | hBOOL(hAPP(hAPP(c_member(_u11840), skolem301(_u11846, _u11845, _u11844, _u11843, _u11842, _u11841, _u11840)), _u11841)) )).
% 12.53/12.73 cnf(fact_UN__equiv__class__type-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u11840, _u11841, _u11842) | ~c_Equiv__Relations_Ocongruent(_u11840, tc_fun(_u11843, tc_HOL_Obool), _u11842, _u11844) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11840, tc_HOL_Obool)), _u11845), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11840), _u11841), _u11842))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11843, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11840, tc_fun(_u11843, tc_HOL_Obool)), _u11845), _u11844)), _u11846)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11843, tc_HOL_Obool)), hAPP(_u11844, skolem301(_u11846, _u11845, _u11844, _u11843, _u11842, _u11841, _u11840))), _u11846)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Integ__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Integ__def-1, axiom, ( ( c_Int_OInteg = hAPP(hAPP(c_Equiv__Relations_Oquotient(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), c_Int_Ointrel)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_card__quotient__disjoint ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_card__quotient__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11847), _u11848)) | ~c_Fun_Oinj__on(_u11847, tc_fun(tc_fun(_u11847, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11847, tc_fun(tc_prod(_u11847, _u11847), tc_HOL_Obool), tc_fun(tc_fun(_u11847, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11847, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u11847, _u11847), tc_HOL_Obool), tc_fun(tc_fun(_u11847, tc_HOL_Obool), tc_HOL_Obool)), _u11847), c_Equiv__Relations_Oquotient(_u11847)), hAPP(hAPP(c_COMBC(_u11847, tc_fun(_u11847, tc_HOL_Obool), tc_fun(_u11847, tc_HOL_Obool)), c_Set_Oinsert(_u11847)), c_Orderings_Obot__class_Obot(tc_fun(_u11847, tc_HOL_Obool))))), _u11849), _u11848) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u11847, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11847), _u11848), _u11849)) = hAPP(c_Finite__Set_Ocard(_u11847), _u11848)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Id__onE ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Id__onE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11851, _u11851)), _u11852), c_Relation_OId__on(_u11851, _u11853))) | hBOOL(hAPP(hAPP(c_member(_u11851), skolem302(_u11853, _u11852, _u11851)), _u11853)) )).
% 12.53/12.73 cnf(fact_Id__onE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11851, _u11851)), _u11852), c_Relation_OId__on(_u11851, _u11853))) | ( _u11852 = hAPP(hAPP(c_Product__Type_OPair(_u11851, _u11851), skolem302(_u11853, _u11852, _u11851)), skolem302(_u11853, _u11852, _u11851))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__on__empty ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inj__on__empty-1, axiom, ( c_Fun_Oinj__on(_u11854, _u11855, _u11856, c_Orderings_Obot__class_Obot(tc_fun(_u11854, tc_HOL_Obool))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__uminus ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inj__uminus-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11857) | c_Fun_Oinj__on(_u11857, _u11857, c_Groups_Ouminus__class_Ouminus(_u11857), _u11858) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__on__Un__image__eq__iff ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inj__on__Un__image__eq__iff-1, axiom, ( ~c_Fun_Oinj__on(_u11859, _u11860, _u11861, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11859, tc_HOL_Obool)), _u11862), _u11863)) | ( hAPP(c_Set_Oimage(_u11859, _u11860, _u11861), _u11862) != hAPP(c_Set_Oimage(_u11859, _u11860, _u11861), _u11863)) | ( _u11862 = _u11863) )).
% 12.53/12.73 cnf(fact_inj__on__Un__image__eq__iff-2, axiom, ( ~c_Fun_Oinj__on(_u11859, _u11860, _u11861, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11859, tc_HOL_Obool)), _u11862), _u11863)) | ( _u11862 != _u11863) | ( hAPP(c_Set_Oimage(_u11859, _u11860, _u11861), _u11862) = hAPP(c_Set_Oimage(_u11859, _u11860, _u11861), _u11863)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__on__id2 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inj__on__id2-1, axiom, ( c_Fun_Oinj__on(_u11864, _u11864, c_COMBI(_u11864), _u11865) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_subset__inj__on ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_subset__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u11866, _u11867, _u11868, _u11869) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11866, tc_HOL_Obool)), _u11870), _u11869)) | c_Fun_Oinj__on(_u11866, _u11867, _u11868, _u11870) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__on__Int ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inj__on__Int-1, axiom, ( ~c_Fun_Oinj__on(_u11871, _u11872, _u11873, _u11874) | ~c_Fun_Oinj__on(_u11871, _u11872, _u11873, _u11875) | c_Fun_Oinj__on(_u11871, _u11872, _u11873, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11871, tc_HOL_Obool)), _u11874), _u11875)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__on__diff ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inj__on__diff-1, axiom, ( ~c_Fun_Oinj__on(_u11876, _u11877, _u11878, _u11879) | c_Fun_Oinj__on(_u11876, _u11877, _u11878, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11876, tc_HOL_Obool)), _u11879), _u11880)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__on__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inj__on__def-1, axiom, ( ~c_Fun_Oinj__on(_u11889, _u11891, _u11893, _u11895) | ~hBOOL(hAPP(hAPP(c_member(_u11889), _u11882), _u11895)) | ~hBOOL(hAPP(hAPP(c_member(_u11889), _u11881), _u11895)) | ( hAPP(_u11893, _u11882) != hAPP(_u11893, _u11881)) | ( _u11882 = _u11881) )).
% 12.53/12.73 cnf(fact_inj__on__def-2, axiom, ( c_Fun_Oinj__on(_u11890, _u11892, _u11894, _u11896) | hBOOL(hAPP(hAPP(c_member(_u11890), skolem303(_u11896, _u11894, _u11892, _u11890)), _u11896)) )).
% 12.53/12.73 cnf(fact_inj__on__def-3, axiom, ( c_Fun_Oinj__on(_u11890, _u11892, _u11894, _u11896) | hBOOL(hAPP(hAPP(c_member(_u11890), skolem304(_u11896, _u11894, _u11892, _u11890)), _u11896)) )).
% 12.53/12.73 cnf(fact_inj__on__def-4, axiom, ( c_Fun_Oinj__on(_u11890, _u11892, _u11894, _u11896) | ( hAPP(_u11894, skolem303(_u11896, _u11894, _u11892, _u11890)) = hAPP(_u11894, skolem304(_u11896, _u11894, _u11892, _u11890))) )).
% 12.53/12.73 cnf(fact_inj__on__def-5, axiom, ( c_Fun_Oinj__on(_u11890, _u11892, _u11894, _u11896) | ( skolem303(_u11896, _u11894, _u11892, _u11890) != skolem304(_u11896, _u11894, _u11892, _u11890)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__onD ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inj__onD-1, axiom, ( ~c_Fun_Oinj__on(_u11897, _u11898, _u11899, _u11900) | ( hAPP(_u11899, _u11901) != hAPP(_u11899, _u11902)) | ~hBOOL(hAPP(hAPP(c_member(_u11897), _u11901), _u11900)) | ~hBOOL(hAPP(hAPP(c_member(_u11897), _u11902), _u11900)) | ( _u11901 = _u11902) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__on__iff ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inj__on__iff-1, axiom, ( ~c_Fun_Oinj__on(_u11903, _u11904, _u11905, _u11906) | ~hBOOL(hAPP(hAPP(c_member(_u11903), _u11907), _u11906)) | ~hBOOL(hAPP(hAPP(c_member(_u11903), _u11908), _u11906)) | ( hAPP(_u11905, _u11907) != hAPP(_u11905, _u11908)) | ( _u11907 = _u11908) )).
% 12.53/12.73 cnf(fact_inj__on__iff-2, axiom, ( ~c_Fun_Oinj__on(_u11903, _u11904, _u11905, _u11906) | ~hBOOL(hAPP(hAPP(c_member(_u11903), _u11907), _u11906)) | ~hBOOL(hAPP(hAPP(c_member(_u11903), _u11908), _u11906)) | ( _u11907 != _u11908) | ( hAPP(_u11905, _u11907) = hAPP(_u11905, _u11908)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__on__contraD ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inj__on__contraD-1, axiom, ( ~c_Fun_Oinj__on(_u11909, _u11910, _u11911, _u11912) | ( _u11913 = _u11914) | ~hBOOL(hAPP(hAPP(c_member(_u11909), _u11913), _u11912)) | ~hBOOL(hAPP(hAPP(c_member(_u11909), _u11914), _u11912)) | ( hAPP(_u11911, _u11913) != hAPP(_u11911, _u11914)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_finite__imageD ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_finite__imageD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11915), hAPP(c_Set_Oimage(_u11916, _u11915, _u11917), _u11918))) | ~c_Fun_Oinj__on(_u11916, _u11915, _u11917, _u11918) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11916), _u11918)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__eq ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inj__eq-1, axiom, ( ~c_Fun_Oinj__on(_u11919, _u11920, _u11921, c_Orderings_Otop__class_Otop(tc_fun(_u11919, tc_HOL_Obool))) | ( hAPP(_u11921, _u11922) != hAPP(_u11921, _u11923)) | ( _u11922 = _u11923) )).
% 12.53/12.73 cnf(fact_inj__eq-2, axiom, ( ~c_Fun_Oinj__on(_u11919, _u11920, _u11921, c_Orderings_Otop__class_Otop(tc_fun(_u11919, tc_HOL_Obool))) | ( _u11922 != _u11923) | ( hAPP(_u11921, _u11922) = hAPP(_u11921, _u11923)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_injD ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_injD-1, axiom, ( ( hAPP(_u11926, _u11927) != hAPP(_u11926, _u11928)) | ( _u11927 = _u11928) | ~c_Fun_Oinj__on(_u11924, _u11925, _u11926, c_Orderings_Otop__class_Otop(tc_fun(_u11924, tc_HOL_Obool))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__fun ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inj__fun-1, axiom, ( ~c_Fun_Oinj__on(_u11929, _u11930, _u11931, c_Orderings_Otop__class_Otop(tc_fun(_u11929, tc_HOL_Obool))) | c_Fun_Oinj__on(_u11929, tc_fun(_u11932, _u11930), hAPP(hAPP(c_COMBB(_u11930, tc_fun(_u11932, _u11930), _u11929), c_COMBK(_u11930, _u11932)), _u11931), c_Orderings_Otop__class_Otop(tc_fun(_u11929, tc_HOL_Obool))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__image__eq__iff ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inj__image__eq__iff-1, axiom, ( ~c_Fun_Oinj__on(_u11933, _u11934, _u11935, c_Orderings_Otop__class_Otop(tc_fun(_u11933, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11933, _u11934, _u11935), _u11936) != hAPP(c_Set_Oimage(_u11933, _u11934, _u11935), _u11937)) | ( _u11936 = _u11937) )).
% 12.53/12.73 cnf(fact_inj__image__eq__iff-2, axiom, ( ~c_Fun_Oinj__on(_u11933, _u11934, _u11935, c_Orderings_Otop__class_Otop(tc_fun(_u11933, tc_HOL_Obool))) | ( _u11936 != _u11937) | ( hAPP(c_Set_Oimage(_u11933, _u11934, _u11935), _u11936) = hAPP(c_Set_Oimage(_u11933, _u11934, _u11935), _u11937)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_card__image ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_card__image-1, axiom, ( ~c_Fun_Oinj__on(_u11938, _u11939, _u11940, _u11941) | ( hAPP(c_Finite__Set_Ocard(_u11939), hAPP(c_Set_Oimage(_u11938, _u11939, _u11940), _u11941)) = hAPP(c_Finite__Set_Ocard(_u11938), _u11941)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__on__strict__subset ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inj__on__strict__subset-1, axiom, ( ~c_Fun_Oinj__on(_u11942, _u11943, _u11944, _u11945) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11942, tc_HOL_Obool)), _u11946), _u11945)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11943, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11942, _u11943, _u11944), _u11946)), hAPP(c_Set_Oimage(_u11942, _u11943, _u11944), _u11945))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_range__ex1__eq ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_range__ex1__eq-1, axiom, ( ~c_Fun_Oinj__on(_u11951, _u11952, _u11953, c_Orderings_Otop__class_Otop(tc_fun(_u11951, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11952), _u11954), hAPP(c_Set_Oimage(_u11951, _u11952, _u11953), c_Orderings_Otop__class_Otop(tc_fun(_u11951, tc_HOL_Obool))))) | ( _u11954 = hAPP(_u11953, skolem305(_u11954, _u11953, _u11952, _u11951))) )).
% 12.53/12.73 cnf(fact_range__ex1__eq-2, axiom, ( ~c_Fun_Oinj__on(_u11951, _u11952, _u11953, c_Orderings_Otop__class_Otop(tc_fun(_u11951, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11952), _u11954), hAPP(c_Set_Oimage(_u11951, _u11952, _u11953), c_Orderings_Otop__class_Otop(tc_fun(_u11951, tc_HOL_Obool))))) | ( _u11954 != hAPP(_u11953, _u11947)) | ( _u11947 = skolem305(_u11954, _u11953, _u11952, _u11951)) )).
% 12.53/12.73 cnf(fact_range__ex1__eq-3, axiom, ( ~c_Fun_Oinj__on(_u11951, _u11952, _u11953, c_Orderings_Otop__class_Otop(tc_fun(_u11951, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u11952), _u11954), hAPP(c_Set_Oimage(_u11951, _u11952, _u11953), c_Orderings_Otop__class_Otop(tc_fun(_u11951, tc_HOL_Obool))))) | ( _u11954 != hAPP(_u11953, _u11950)) | ( _u11954 = hAPP(_u11953, skolem306(_u11954, _u11953, _u11952, _u11951, _u11950))) )).
% 12.53/12.73 cnf(fact_range__ex1__eq-4, axiom, ( ~c_Fun_Oinj__on(_u11951, _u11952, _u11953, c_Orderings_Otop__class_Otop(tc_fun(_u11951, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u11952), _u11954), hAPP(c_Set_Oimage(_u11951, _u11952, _u11953), c_Orderings_Otop__class_Otop(tc_fun(_u11951, tc_HOL_Obool))))) | ( _u11954 != hAPP(_u11953, _u11950)) | ( skolem306(_u11954, _u11953, _u11952, _u11951, _u11950) != _u11950) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__image__mem__iff ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inj__image__mem__iff-1, axiom, ( ~c_Fun_Oinj__on(_u11955, _u11956, _u11957, c_Orderings_Otop__class_Otop(tc_fun(_u11955, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11956), hAPP(_u11957, _u11958)), hAPP(c_Set_Oimage(_u11955, _u11956, _u11957), _u11959))) | hBOOL(hAPP(hAPP(c_member(_u11955), _u11958), _u11959)) )).
% 12.53/12.73 cnf(fact_inj__image__mem__iff-2, axiom, ( ~c_Fun_Oinj__on(_u11955, _u11956, _u11957, c_Orderings_Otop__class_Otop(tc_fun(_u11955, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11955), _u11958), _u11959)) | hBOOL(hAPP(hAPP(c_member(_u11956), hAPP(_u11957, _u11958)), hAPP(c_Set_Oimage(_u11955, _u11956, _u11957), _u11959))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__on__iff__surj ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inj__on__iff__surj-1, axiom, ( ( _u11964 = c_Orderings_Obot__class_Obot(tc_fun(_u11965, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u11965, _u11966, _u11960, _u11964) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11966, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11965, _u11966, _u11960), _u11964)), _u11967)) | ( hAPP(c_Set_Oimage(_u11966, _u11965, skolem307(_u11967, _u11966, _u11965, _u11964)), _u11967) = _u11964) )).
% 12.53/12.73 cnf(fact_inj__on__iff__surj-2, axiom, ( ( _u11964 = c_Orderings_Obot__class_Obot(tc_fun(_u11965, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11966, _u11965, _u11962), _u11967) != _u11964) | c_Fun_Oinj__on(_u11965, _u11966, skolem308(_u11967, _u11966, _u11965, _u11964), _u11964) )).
% 12.53/12.73 cnf(fact_inj__on__iff__surj-3, axiom, ( ( _u11964 = c_Orderings_Obot__class_Obot(tc_fun(_u11965, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11966, _u11965, _u11962), _u11967) != _u11964) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11966, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11965, _u11966, skolem308(_u11967, _u11966, _u11965, _u11964)), _u11964)), _u11967)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_endo__inj__surj ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_endo__inj__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11968), _u11969)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11968, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11968, _u11968, _u11970), _u11969)), _u11969)) | ~c_Fun_Oinj__on(_u11968, _u11968, _u11970, _u11969) | ( hAPP(c_Set_Oimage(_u11968, _u11968, _u11970), _u11969) = _u11969) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_finite__surj__inj ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_finite__surj__inj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11971), _u11972)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11971, tc_HOL_Obool)), _u11972), hAPP(c_Set_Oimage(_u11971, _u11971, _u11973), _u11972))) | c_Fun_Oinj__on(_u11971, _u11971, _u11973, _u11972) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_finite__UNIV__surj__inj ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_finite__UNIV__surj__inj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11974), c_Orderings_Otop__class_Otop(tc_fun(_u11974, tc_HOL_Obool)))) | ( hAPP(c_Set_Oimage(_u11974, _u11974, _u11975), c_Orderings_Otop__class_Otop(tc_fun(_u11974, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11974, tc_HOL_Obool))) | c_Fun_Oinj__on(_u11974, _u11974, _u11975, c_Orderings_Otop__class_Otop(tc_fun(_u11974, tc_HOL_Obool))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_finite__UNIV__inj__surj ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_finite__UNIV__inj__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11976), c_Orderings_Otop__class_Otop(tc_fun(_u11976, tc_HOL_Obool)))) | ~c_Fun_Oinj__on(_u11976, _u11976, _u11977, c_Orderings_Otop__class_Otop(tc_fun(_u11976, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11976, _u11976, _u11977), c_Orderings_Otop__class_Otop(tc_fun(_u11976, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u11976, tc_HOL_Obool))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__image__subset__iff ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inj__image__subset__iff-1, axiom, ( ~c_Fun_Oinj__on(_u11978, _u11979, _u11980, c_Orderings_Otop__class_Otop(tc_fun(_u11978, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11979, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11978, _u11979, _u11980), _u11981)), hAPP(c_Set_Oimage(_u11978, _u11979, _u11980), _u11982))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11978, tc_HOL_Obool)), _u11981), _u11982)) )).
% 12.53/12.73 cnf(fact_inj__image__subset__iff-2, axiom, ( ~c_Fun_Oinj__on(_u11978, _u11979, _u11980, c_Orderings_Otop__class_Otop(tc_fun(_u11978, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11978, tc_HOL_Obool)), _u11981), _u11982)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11979, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11978, _u11979, _u11980), _u11981)), hAPP(c_Set_Oimage(_u11978, _u11979, _u11980), _u11982))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__on__image__Int ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inj__on__image__Int-1, axiom, ( ~c_Fun_Oinj__on(_u11983, _u11984, _u11985, _u11986) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11983, tc_HOL_Obool)), _u11987), _u11986)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11983, tc_HOL_Obool)), _u11988), _u11986)) | ( hAPP(c_Set_Oimage(_u11983, _u11984, _u11985), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11983, tc_HOL_Obool)), _u11987), _u11988)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11984, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11983, _u11984, _u11985), _u11987)), hAPP(c_Set_Oimage(_u11983, _u11984, _u11985), _u11988))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_image__Int ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_image__Int-1, axiom, ( ~c_Fun_Oinj__on(_u11989, _u11990, _u11991, c_Orderings_Otop__class_Otop(tc_fun(_u11989, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11989, _u11990, _u11991), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11989, tc_HOL_Obool)), _u11992), _u11993)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11990, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11989, _u11990, _u11991), _u11992)), hAPP(c_Set_Oimage(_u11989, _u11990, _u11991), _u11993))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__on__iff__eq__card ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inj__on__iff__eq__card-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11994), _u11995)) | ~c_Fun_Oinj__on(_u11994, _u11996, _u11997, _u11995) | ( hAPP(c_Finite__Set_Ocard(_u11996), hAPP(c_Set_Oimage(_u11994, _u11996, _u11997), _u11995)) = hAPP(c_Finite__Set_Ocard(_u11994), _u11995)) )).
% 12.53/12.73 cnf(fact_inj__on__iff__eq__card-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11994), _u11995)) | ( hAPP(c_Finite__Set_Ocard(_u11996), hAPP(c_Set_Oimage(_u11994, _u11996, _u11997), _u11995)) != hAPP(c_Finite__Set_Ocard(_u11994), _u11995)) | c_Fun_Oinj__on(_u11994, _u11996, _u11997, _u11995) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_eq__card__imp__inj__on ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_eq__card__imp__inj__on-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11998), _u11999)) | ( hAPP(c_Finite__Set_Ocard(_u12000), hAPP(c_Set_Oimage(_u11998, _u12000, _u12001), _u11999)) != hAPP(c_Finite__Set_Ocard(_u11998), _u11999)) | c_Fun_Oinj__on(_u11998, _u12000, _u12001, _u11999) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__on__image__set__diff ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inj__on__image__set__diff-1, axiom, ( ~c_Fun_Oinj__on(_u12002, _u12003, _u12004, _u12005) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12002, tc_HOL_Obool)), _u12006), _u12005)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12002, tc_HOL_Obool)), _u12007), _u12005)) | ( hAPP(c_Set_Oimage(_u12002, _u12003, _u12004), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12002, tc_HOL_Obool)), _u12006), _u12007)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12003, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12002, _u12003, _u12004), _u12006)), hAPP(c_Set_Oimage(_u12002, _u12003, _u12004), _u12007))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_image__set__diff ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_image__set__diff-1, axiom, ( ~c_Fun_Oinj__on(_u12008, _u12009, _u12010, c_Orderings_Otop__class_Otop(tc_fun(_u12008, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u12008, _u12009, _u12010), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12008, tc_HOL_Obool)), _u12011), _u12012)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12009, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12008, _u12009, _u12010), _u12011)), hAPP(c_Set_Oimage(_u12008, _u12009, _u12010), _u12012))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_pigeonhole ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_pigeonhole-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12013), hAPP(c_Set_Oimage(_u12014, _u12013, _u12015), _u12016))), hAPP(c_Finite__Set_Ocard(_u12014), _u12016))) | ~c_Fun_Oinj__on(_u12014, _u12013, _u12015, _u12016) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__on__fun__updI ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inj__on__fun__updI-1, axiom, ( ~c_Fun_Oinj__on(_u12017, _u12018, _u12019, _u12020) | hBOOL(hAPP(hAPP(c_member(_u12018), _u12021), hAPP(c_Set_Oimage(_u12017, _u12018, _u12019), _u12020))) | c_Fun_Oinj__on(_u12017, _u12018, c_Fun_Ofun__upd(_u12017, _u12018, _u12019, _u12022, _u12021), _u12020) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__singleton ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inj__singleton-1, axiom, ( c_Fun_Oinj__on(_u12023, tc_fun(_u12023, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12023, tc_fun(_u12023, tc_HOL_Obool), tc_fun(_u12023, tc_HOL_Obool)), c_Set_Oinsert(_u12023)), c_Orderings_Obot__class_Obot(tc_fun(_u12023, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u12023, tc_HOL_Obool))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Rep__Integ ( axiom ) converted to clauses:
% 12.53/12.73 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, _u12024)), c_Int_OInteg)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_card__bij__eq ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_card__bij__eq-1, axiom, ( ~c_Fun_Oinj__on(_u12025, _u12026, _u12027, _u12028) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12026, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12025, _u12026, _u12027), _u12028)), _u12029)) | ~c_Fun_Oinj__on(_u12026, _u12025, _u12030, _u12029) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12025, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12026, _u12025, _u12030), _u12029)), _u12028)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12025), _u12028)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12026), _u12029)) | ( hAPP(c_Finite__Set_Ocard(_u12025), _u12028) = hAPP(c_Finite__Set_Ocard(_u12026), _u12029)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__image__Compl__subset ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inj__image__Compl__subset-1, axiom, ( ~c_Fun_Oinj__on(_u12031, _u12032, _u12033, c_Orderings_Otop__class_Otop(tc_fun(_u12031, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12032, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12031, _u12032, _u12033), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12031, tc_HOL_Obool)), _u12034))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12032, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12031, _u12032, _u12033), _u12034)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__on__insert ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inj__on__insert-1, axiom, ( ~c_Fun_Oinj__on(_u12040, _u12042, _u12044, hAPP(hAPP(c_Set_Oinsert(_u12040), _u12046), _u12048)) | c_Fun_Oinj__on(_u12040, _u12042, _u12044, _u12048) )).
% 12.53/12.73 cnf(fact_inj__on__insert-2, axiom, ( ~c_Fun_Oinj__on(_u12040, _u12042, _u12044, hAPP(hAPP(c_Set_Oinsert(_u12040), _u12046), _u12048)) | ~hBOOL(hAPP(hAPP(c_member(_u12042), hAPP(_u12044, _u12046)), hAPP(c_Set_Oimage(_u12040, _u12042, _u12044), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12040, tc_HOL_Obool)), _u12048), hAPP(hAPP(c_Set_Oinsert(_u12040), _u12046), c_Orderings_Obot__class_Obot(tc_fun(_u12040, tc_HOL_Obool))))))) )).
% 12.53/12.73 cnf(fact_inj__on__insert-3, axiom, ( ~c_Fun_Oinj__on(_u12041, _u12043, _u12045, _u12049) | hBOOL(hAPP(hAPP(c_member(_u12043), hAPP(_u12045, _u12047)), hAPP(c_Set_Oimage(_u12041, _u12043, _u12045), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12041, tc_HOL_Obool)), _u12049), hAPP(hAPP(c_Set_Oinsert(_u12041), _u12047), c_Orderings_Obot__class_Obot(tc_fun(_u12041, tc_HOL_Obool))))))) | c_Fun_Oinj__on(_u12041, _u12043, _u12045, hAPP(hAPP(c_Set_Oinsert(_u12041), _u12047), _u12049)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__on__Un ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inj__on__Un-1, axiom, ( ~c_Fun_Oinj__on(_u12055, _u12057, _u12059, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12055, tc_HOL_Obool)), _u12061), _u12063)) | c_Fun_Oinj__on(_u12055, _u12057, _u12059, _u12061) )).
% 12.53/12.73 cnf(fact_inj__on__Un-2, axiom, ( ~c_Fun_Oinj__on(_u12055, _u12057, _u12059, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12055, tc_HOL_Obool)), _u12061), _u12063)) | c_Fun_Oinj__on(_u12055, _u12057, _u12059, _u12063) )).
% 12.53/12.73 cnf(fact_inj__on__Un-3, axiom, ( ~c_Fun_Oinj__on(_u12055, _u12057, _u12059, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12055, tc_HOL_Obool)), _u12061), _u12063)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12057, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12055, _u12057, _u12059), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12055, tc_HOL_Obool)), _u12061), _u12063))), hAPP(c_Set_Oimage(_u12055, _u12057, _u12059), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12055, tc_HOL_Obool)), _u12063), _u12061))) = c_Orderings_Obot__class_Obot(tc_fun(_u12057, tc_HOL_Obool))) )).
% 12.53/12.73 cnf(fact_inj__on__Un-4, axiom, ( ~c_Fun_Oinj__on(_u12056, _u12058, _u12060, _u12062) | ~c_Fun_Oinj__on(_u12056, _u12058, _u12060, _u12064) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12058, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12056, _u12058, _u12060), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12056, tc_HOL_Obool)), _u12062), _u12064))), hAPP(c_Set_Oimage(_u12056, _u12058, _u12060), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12056, tc_HOL_Obool)), _u12064), _u12062))) != c_Orderings_Obot__class_Obot(tc_fun(_u12058, tc_HOL_Obool))) | c_Fun_Oinj__on(_u12056, _u12058, _u12060, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12056, tc_HOL_Obool)), _u12062), _u12064)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_card__inj__on__le ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_card__inj__on__le-1, axiom, ( ~c_Fun_Oinj__on(_u12065, _u12066, _u12067, _u12068) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12066, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12065, _u12066, _u12067), _u12068)), _u12069)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12066), _u12069)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12065), _u12068)), hAPP(c_Finite__Set_Ocard(_u12066), _u12069))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__on__iff__card__le ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inj__on__iff__card__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12072), _u12073)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12074), _u12075)) | ~c_Fun_Oinj__on(_u12072, _u12074, _u12070, _u12073) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12074, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12072, _u12074, _u12070), _u12073)), _u12075)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12072), _u12073)), hAPP(c_Finite__Set_Ocard(_u12074), _u12075))) )).
% 12.53/12.73 cnf(fact_inj__on__iff__card__le-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12072), _u12073)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12074), _u12075)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12072), _u12073)), hAPP(c_Finite__Set_Ocard(_u12074), _u12075))) | c_Fun_Oinj__on(_u12072, _u12074, skolem309(_u12075, _u12074, _u12073, _u12072), _u12073) )).
% 12.53/12.73 cnf(fact_inj__on__iff__card__le-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12072), _u12073)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12074), _u12075)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12072), _u12073)), hAPP(c_Finite__Set_Ocard(_u12074), _u12075))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12074, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12072, _u12074, skolem309(_u12075, _u12074, _u12073, _u12072)), _u12073)), _u12075)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_quotient__diff1 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_quotient__diff1-1, axiom, ( ~c_Fun_Oinj__on(_u12076, tc_fun(tc_fun(_u12076, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12076, tc_fun(tc_prod(_u12076, _u12076), tc_HOL_Obool), tc_fun(tc_fun(_u12076, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12076, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u12076, _u12076), tc_HOL_Obool), tc_fun(tc_fun(_u12076, tc_HOL_Obool), tc_HOL_Obool)), _u12076), c_Equiv__Relations_Oquotient(_u12076)), hAPP(hAPP(c_COMBC(_u12076, tc_fun(_u12076, tc_HOL_Obool), tc_fun(_u12076, tc_HOL_Obool)), c_Set_Oinsert(_u12076)), c_Orderings_Obot__class_Obot(tc_fun(_u12076, tc_HOL_Obool))))), _u12077), _u12078) | ~hBOOL(hAPP(hAPP(c_member(_u12076), _u12079), _u12078)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12076), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12076, tc_HOL_Obool)), _u12078), hAPP(hAPP(c_Set_Oinsert(_u12076), _u12079), c_Orderings_Obot__class_Obot(tc_fun(_u12076, tc_HOL_Obool))))), _u12077) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(_u12076, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12076), _u12078), _u12077)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12076), hAPP(hAPP(c_Set_Oinsert(_u12076), _u12079), c_Orderings_Obot__class_Obot(tc_fun(_u12076, tc_HOL_Obool)))), _u12077))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_type__definition__Integ ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_type__definition__Integ-1, axiom, ( c_Typedef_Otype__definition(tc_Int_Oint, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), c_Int_ORep__Integ, c_Int_OAbs__Integ, c_Int_OInteg) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_image__INT ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_image__INT-1, axiom, ( ~c_Fun_Oinj__on(_u12081, _u12082, _u12083, _u12084) | ~hBOOL(hAPP(hAPP(c_member(_u12085), _u12088), _u12086)) | ( hAPP(c_Set_Oimage(_u12081, _u12082, _u12083), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u12085, tc_fun(_u12081, tc_HOL_Obool)), _u12086), _u12087)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u12085, tc_fun(_u12082, tc_HOL_Obool)), _u12086), hAPP(hAPP(c_COMBB(tc_fun(_u12081, tc_HOL_Obool), tc_fun(_u12082, tc_HOL_Obool), _u12085), c_Set_Oimage(_u12081, _u12082, _u12083)), _u12087))) | hBOOL(hAPP(hAPP(c_member(_u12085), skolem310(_u12088, _u12087, _u12086, _u12085, _u12084, _u12083, _u12082, _u12081)), _u12086)) )).
% 12.53/12.73 cnf(fact_image__INT-2, axiom, ( ~c_Fun_Oinj__on(_u12081, _u12082, _u12083, _u12084) | ~hBOOL(hAPP(hAPP(c_member(_u12085), _u12088), _u12086)) | ( hAPP(c_Set_Oimage(_u12081, _u12082, _u12083), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u12085, tc_fun(_u12081, tc_HOL_Obool)), _u12086), _u12087)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u12085, tc_fun(_u12082, tc_HOL_Obool)), _u12086), hAPP(hAPP(c_COMBB(tc_fun(_u12081, tc_HOL_Obool), tc_fun(_u12082, tc_HOL_Obool), _u12085), c_Set_Oimage(_u12081, _u12082, _u12083)), _u12087))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12081, tc_HOL_Obool)), hAPP(_u12087, skolem310(_u12088, _u12087, _u12086, _u12085, _u12084, _u12083, _u12082, _u12081))), _u12084)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_the__inv__into__into ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_the__inv__into__into-1, axiom, ( ~c_Fun_Oinj__on(_u12089, _u12090, _u12091, _u12092) | ~hBOOL(hAPP(hAPP(c_member(_u12090), _u12093), hAPP(c_Set_Oimage(_u12089, _u12090, _u12091), _u12092))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12089, tc_HOL_Obool)), _u12092), _u12094)) | hBOOL(hAPP(hAPP(c_member(_u12089), hAPP(c_Fun_Othe__inv__into(_u12089, _u12090, _u12092, _u12091), _u12093)), _u12094)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_finite__conv__nat__seg__image ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_finite__conv__nat__seg__image-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12101), _u12103)) | ( _u12103 = hAPP(c_Set_Oimage(tc_Nat_Onat, _u12101, skolem312(_u12103, _u12101)), 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)), skolem311(_u12103, _u12101))))) )).
% 12.53/12.73 cnf(fact_finite__conv__nat__seg__image-2, axiom, ( ( _u12104 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u12102, _u12097), 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)), _u12098)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12102), _u12104)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__on__add__nat ( axiom ) converted to clauses:
% 12.53/12.73 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)), _u12105), _u12106) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__Suc ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inj__Suc-1, axiom, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc, _u12107) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__of__nat ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inj__of__nat-1, axiom, ( ~class_Nat_Osemiring__char__0(_u12108) | c_Fun_Oinj__on(tc_Nat_Onat, _u12108, c_Nat_Osemiring__1__class_Oof__nat(_u12108), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__int ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inj__int-1, axiom, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_swap__inj__on ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_swap__inj__on-1, axiom, ( c_Fun_Oinj__on(tc_prod(_u12109, _u12110), tc_prod(_u12110, _u12109), hAPP(c_Product__Type_Oprod_Oprod__case(_u12109, _u12110, tc_prod(_u12110, _u12109)), hAPP(c_COMBC(_u12110, _u12109, tc_prod(_u12110, _u12109)), c_Product__Type_OPair(_u12110, _u12109))), _u12111) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_the__inv__into__f__f ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_the__inv__into__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u12112, _u12113, _u12114, _u12115) | ~hBOOL(hAPP(hAPP(c_member(_u12112), _u12116), _u12115)) | ( hAPP(c_Fun_Othe__inv__into(_u12112, _u12113, _u12115, _u12114), hAPP(_u12114, _u12116)) = _u12116) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_the__inv__into__f__eq ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_the__inv__into__f__eq-1, axiom, ( ~c_Fun_Oinj__on(_u12117, _u12118, _u12119, _u12120) | ( hAPP(_u12119, _u12121) != _u12122) | ~hBOOL(hAPP(hAPP(c_member(_u12117), _u12121), _u12120)) | ( hAPP(c_Fun_Othe__inv__into(_u12117, _u12118, _u12120, _u12119), _u12122) = _u12121) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_the__inv__f__f ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_the__inv__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u12123, _u12124, _u12125, c_Orderings_Otop__class_Otop(tc_fun(_u12123, tc_HOL_Obool))) | ( hAPP(c_Fun_Othe__inv__into(_u12123, _u12124, c_Orderings_Otop__class_Otop(tc_fun(_u12123, tc_HOL_Obool)), _u12125), hAPP(_u12125, _u12126)) = _u12126) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_the__inv__into__onto ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_the__inv__into__onto-1, axiom, ( ~c_Fun_Oinj__on(_u12127, _u12128, _u12129, _u12130) | ( hAPP(c_Set_Oimage(_u12128, _u12127, c_Fun_Othe__inv__into(_u12127, _u12128, _u12130, _u12129)), hAPP(c_Set_Oimage(_u12127, _u12128, _u12129), _u12130)) = _u12130) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__on__the__inv__into ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inj__on__the__inv__into-1, axiom, ( ~c_Fun_Oinj__on(_u12131, _u12132, _u12133, _u12134) | c_Fun_Oinj__on(_u12132, _u12131, c_Fun_Othe__inv__into(_u12131, _u12132, _u12134, _u12133), hAPP(c_Set_Oimage(_u12131, _u12132, _u12133), _u12134)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__graph ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inj__graph-1, axiom, ( c_Fun_Oinj__on(tc_fun(_u12135, _u12136), tc_fun(tc_prod(_u12135, _u12136), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u12135, _u12136), tc_HOL_Obool), tc_fun(tc_prod(_u12135, _u12136), tc_HOL_Obool), tc_fun(_u12135, _u12136)), c_Set_OCollect(tc_prod(_u12135, _u12136))), hAPP(hAPP(c_COMBB(tc_fun(_u12135, tc_fun(_u12136, tc_HOL_Obool)), tc_fun(tc_prod(_u12135, _u12136), tc_HOL_Obool), tc_fun(_u12135, _u12136)), c_Product__Type_Oprod_Oprod__case(_u12135, _u12136, tc_HOL_Obool)), hAPP(c_COMBB(_u12136, tc_fun(_u12136, tc_HOL_Obool), _u12135), hAPP(c_COMBC(_u12136, _u12136, tc_HOL_Obool), c_fequal)))), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u12135, _u12136), tc_HOL_Obool))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_f__the__inv__into__f ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_f__the__inv__into__f-1, axiom, ( ~c_Fun_Oinj__on(_u12137, _u12138, _u12139, _u12140) | ~hBOOL(hAPP(hAPP(c_member(_u12138), _u12141), hAPP(c_Set_Oimage(_u12137, _u12138, _u12139), _u12140))) | ( hAPP(_u12139, hAPP(c_Fun_Othe__inv__into(_u12137, _u12138, _u12140, _u12139), _u12141)) = _u12141) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_transfer__nat__int__sum__prod__cong_I1_J ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_transfer__nat__int__sum__prod__cong_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12143) | ~class_Groups_Ocomm__monoid__mult(_u12143) | ( _u12144 != _u12145) | ~c_Nat__Transfer_Onat__set(_u12145) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12143), _u12146), _u12144) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12143), _u12147), _u12145)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem313(_u12147, _u12146, _u12145, _u12144, _u12143))) )).
% 12.53/12.73 cnf(fact_transfer__nat__int__sum__prod__cong_I1_J-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12143) | ~class_Groups_Ocomm__monoid__mult(_u12143) | ( _u12144 != _u12145) | ~c_Nat__Transfer_Onat__set(_u12145) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12143), _u12146), _u12144) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12143), _u12147), _u12145)) | ( hAPP(_u12146, skolem313(_u12147, _u12146, _u12145, _u12144, _u12143)) != hAPP(_u12147, skolem313(_u12147, _u12146, _u12145, _u12144, _u12143))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_accp__acc__eq ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_accp__acc__eq-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u12151, hAPP(hAPP(c_COMBC(_u12151, tc_fun(tc_prod(_u12151, _u12151), tc_HOL_Obool), tc_fun(_u12151, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12151, tc_fun(tc_fun(tc_prod(_u12151, _u12151), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12151, _u12151), tc_HOL_Obool), tc_fun(_u12151, tc_HOL_Obool)), _u12151), c_COMBC(_u12151, tc_fun(tc_prod(_u12151, _u12151), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12151, tc_prod(_u12151, _u12151)), tc_fun(_u12151, tc_fun(tc_fun(tc_prod(_u12151, _u12151), tc_HOL_Obool), tc_HOL_Obool)), _u12151), hAPP(c_COMBB(tc_prod(_u12151, _u12151), tc_fun(tc_fun(tc_prod(_u12151, _u12151), tc_HOL_Obool), tc_HOL_Obool), _u12151), c_member(tc_prod(_u12151, _u12151)))), c_Product__Type_OPair(_u12151, _u12151)))), _u12153)), _u12155)) | hBOOL(hAPP(hAPP(c_member(_u12151), _u12155), c_Wellfounded_Oacc(_u12151, _u12153))) )).
% 12.53/12.73 cnf(fact_accp__acc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12152), _u12156), c_Wellfounded_Oacc(_u12152, _u12154))) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u12152, hAPP(hAPP(c_COMBC(_u12152, tc_fun(tc_prod(_u12152, _u12152), tc_HOL_Obool), tc_fun(_u12152, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12152, tc_fun(tc_fun(tc_prod(_u12152, _u12152), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12152, _u12152), tc_HOL_Obool), tc_fun(_u12152, tc_HOL_Obool)), _u12152), c_COMBC(_u12152, tc_fun(tc_prod(_u12152, _u12152), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12152, tc_prod(_u12152, _u12152)), tc_fun(_u12152, tc_fun(tc_fun(tc_prod(_u12152, _u12152), tc_HOL_Obool), tc_HOL_Obool)), _u12152), hAPP(c_COMBB(tc_prod(_u12152, _u12152), tc_fun(tc_fun(tc_prod(_u12152, _u12152), tc_HOL_Obool), tc_HOL_Obool), _u12152), c_member(tc_prod(_u12152, _u12152)))), c_Product__Type_OPair(_u12152, _u12152)))), _u12154)), _u12156)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_rel__comp__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_rel__comp__def-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12157, _u12158, _u12159), _u12160), _u12161) = hAPP(c_Set_OCollect(tc_prod(_u12157, _u12159)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12157, _u12159, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u12159, tc_fun(_u12158, tc_HOL_Obool)), tc_fun(_u12159, tc_HOL_Obool), _u12157), hAPP(c_COMBB(tc_fun(_u12158, tc_HOL_Obool), tc_HOL_Obool, _u12159), c_HOL_OEx(_u12158))), hAPP(hAPP(c_COMBC(_u12157, tc_fun(_u12159, tc_fun(_u12158, tc_HOL_Obool)), tc_fun(_u12159, tc_fun(_u12158, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12158, tc_HOL_Obool), tc_fun(_u12158, tc_HOL_Obool)), tc_fun(tc_fun(_u12159, tc_fun(_u12158, tc_HOL_Obool)), tc_fun(_u12159, tc_fun(_u12158, tc_HOL_Obool))), _u12157), c_COMBB(tc_fun(_u12158, tc_HOL_Obool), tc_fun(_u12158, tc_HOL_Obool), _u12159)), hAPP(hAPP(c_COMBB(tc_fun(_u12158, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12158, tc_HOL_Obool), tc_fun(_u12158, tc_HOL_Obool)), _u12157), c_COMBS(_u12158, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12158, tc_HOL_Obool), tc_fun(_u12158, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12157), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12158), c_fconj)), hAPP(hAPP(c_COMBC(_u12157, tc_fun(tc_prod(_u12157, _u12158), tc_HOL_Obool), tc_fun(_u12158, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12158, tc_fun(tc_fun(tc_prod(_u12157, _u12158), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12157, _u12158), tc_HOL_Obool), tc_fun(_u12158, tc_HOL_Obool)), _u12157), c_COMBC(_u12158, tc_fun(tc_prod(_u12157, _u12158), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12158, tc_prod(_u12157, _u12158)), tc_fun(_u12158, tc_fun(tc_fun(tc_prod(_u12157, _u12158), tc_HOL_Obool), tc_HOL_Obool)), _u12157), hAPP(c_COMBB(tc_prod(_u12157, _u12158), tc_fun(tc_fun(tc_prod(_u12157, _u12158), tc_HOL_Obool), tc_HOL_Obool), _u12158), c_member(tc_prod(_u12157, _u12158)))), c_Product__Type_OPair(_u12157, _u12158)))), _u12160))))), hAPP(hAPP(c_COMBC(_u12159, tc_fun(tc_prod(_u12158, _u12159), tc_HOL_Obool), tc_fun(_u12158, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12158, tc_fun(tc_fun(tc_prod(_u12158, _u12159), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12158, _u12159), tc_HOL_Obool), tc_fun(_u12158, tc_HOL_Obool)), _u12159), c_COMBC(_u12158, tc_fun(tc_prod(_u12158, _u12159), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12158, tc_prod(_u12158, _u12159)), tc_fun(_u12158, tc_fun(tc_fun(tc_prod(_u12158, _u12159), tc_HOL_Obool), tc_HOL_Obool)), _u12159), hAPP(c_COMBB(tc_prod(_u12158, _u12159), tc_fun(tc_fun(tc_prod(_u12158, _u12159), tc_HOL_Obool), tc_HOL_Obool), _u12158), c_member(tc_prod(_u12158, _u12159)))), hAPP(c_COMBC(_u12158, _u12159, tc_prod(_u12158, _u12159)), c_Product__Type_OPair(_u12158, _u12159))))), _u12161)))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_rel__compI ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_rel__compI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12162, _u12163)), hAPP(hAPP(c_Product__Type_OPair(_u12162, _u12163), _u12164), _u12165)), _u12166)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12163, _u12167)), hAPP(hAPP(c_Product__Type_OPair(_u12163, _u12167), _u12165), _u12168)), _u12169)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12162, _u12167)), hAPP(hAPP(c_Product__Type_OPair(_u12162, _u12167), _u12164), _u12168)), hAPP(hAPP(c_Relation_Orel__comp(_u12162, _u12163, _u12167), _u12166), _u12169))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_rel__comp__UNION__distrib ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_rel__comp__UNION__distrib-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12170, _u12171, _u12172), _u12173), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12174, tc_fun(tc_prod(_u12171, _u12172), tc_HOL_Obool)), _u12175), _u12176)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12174, tc_fun(tc_prod(_u12170, _u12172), tc_HOL_Obool)), _u12175), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u12171, _u12172), tc_HOL_Obool), tc_fun(tc_prod(_u12170, _u12172), tc_HOL_Obool), _u12174), hAPP(c_Relation_Orel__comp(_u12170, _u12171, _u12172), _u12173)), _u12176))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_rel__comp__UNION__distrib2 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_rel__comp__UNION__distrib2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12177, _u12178, _u12179), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12180, tc_fun(tc_prod(_u12177, _u12178), tc_HOL_Obool)), _u12181), _u12182)), _u12183) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12180, tc_fun(tc_prod(_u12177, _u12179), tc_HOL_Obool)), _u12181), hAPP(hAPP(c_COMBC(_u12180, tc_fun(tc_prod(_u12178, _u12179), tc_HOL_Obool), tc_fun(tc_prod(_u12177, _u12179), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u12177, _u12178), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u12178, _u12179), tc_HOL_Obool), tc_fun(tc_prod(_u12177, _u12179), tc_HOL_Obool)), _u12180), c_Relation_Orel__comp(_u12177, _u12178, _u12179)), _u12182)), _u12183))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_rel__comp__empty1 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_rel__comp__empty1-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12184, _u12185, _u12186), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12184, _u12185), tc_HOL_Obool))), _u12187) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12184, _u12186), tc_HOL_Obool))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_rel__comp__empty2 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_rel__comp__empty2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12188, _u12189, _u12190), _u12191), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12189, _u12190), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12188, _u12190), tc_HOL_Obool))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_rel__comp__distrib ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_rel__comp__distrib-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12192, _u12193, _u12194), _u12195), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12193, _u12194), tc_HOL_Obool)), _u12196), _u12197)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12192, _u12194), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12192, _u12193, _u12194), _u12195), _u12196)), hAPP(hAPP(c_Relation_Orel__comp(_u12192, _u12193, _u12194), _u12195), _u12197))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_rel__comp__distrib2 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_rel__comp__distrib2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12198, _u12199, _u12200), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12198, _u12199), tc_HOL_Obool)), _u12201), _u12202)), _u12203) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12198, _u12200), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12198, _u12199, _u12200), _u12201), _u12203)), hAPP(hAPP(c_Relation_Orel__comp(_u12198, _u12199, _u12200), _u12202), _u12203))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_O__assoc ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_O__assoc-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12204, _u12205, _u12206), hAPP(hAPP(c_Relation_Orel__comp(_u12204, _u12207, _u12205), _u12208), _u12209)), _u12210) = hAPP(hAPP(c_Relation_Orel__comp(_u12204, _u12207, _u12206), _u12208), hAPP(hAPP(c_Relation_Orel__comp(_u12207, _u12205, _u12206), _u12209), _u12210))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_rel__comp__mono ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_rel__comp__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12211, _u12212), tc_HOL_Obool)), _u12213), _u12214)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12212, _u12215), tc_HOL_Obool)), _u12216), _u12217)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12211, _u12215), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12211, _u12212, _u12215), _u12213), _u12216)), hAPP(hAPP(c_Relation_Orel__comp(_u12211, _u12212, _u12215), _u12214), _u12217))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_union__comp__emptyR ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_union__comp__emptyR-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12218, _u12218, _u12218), _u12219), _u12220) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12218, _u12218), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12218, _u12218, _u12218), _u12219), _u12221) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12218, _u12218), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12218, _u12218, _u12218), _u12219), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12218, _u12218), tc_HOL_Obool)), _u12220), _u12221)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12218, _u12218), tc_HOL_Obool))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_union__comp__emptyL ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_union__comp__emptyL-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12222, _u12222, _u12222), _u12223), _u12224) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12222, _u12222), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12222, _u12222, _u12222), _u12225), _u12224) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12222, _u12222), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12222, _u12222, _u12222), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12222, _u12222), tc_HOL_Obool)), _u12223), _u12225)), _u12224) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12222, _u12222), tc_HOL_Obool))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_acc__subset ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_acc__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12226, _u12226), tc_HOL_Obool)), _u12227), _u12228)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12226, tc_HOL_Obool)), c_Wellfounded_Oacc(_u12226, _u12228)), c_Wellfounded_Oacc(_u12226, _u12227))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_acc__downward ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_acc__downward-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12229), _u12230), c_Wellfounded_Oacc(_u12229, _u12231))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12229, _u12229)), hAPP(hAPP(c_Product__Type_OPair(_u12229, _u12229), _u12232), _u12230)), _u12231)) | hBOOL(hAPP(hAPP(c_member(_u12229), _u12232), c_Wellfounded_Oacc(_u12229, _u12231))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_acc_Osimps ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_acc_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12238), _u12240), c_Wellfounded_Oacc(_u12238, _u12242))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12238, _u12238)), hAPP(hAPP(c_Product__Type_OPair(_u12238, _u12238), _u12233), _u12240)), _u12242)) | hBOOL(hAPP(hAPP(c_member(_u12238), _u12233), c_Wellfounded_Oacc(_u12238, _u12242))) )).
% 12.53/12.73 cnf(fact_acc_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12239), _u12241), c_Wellfounded_Oacc(_u12239, _u12243))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12239, _u12239)), hAPP(hAPP(c_Product__Type_OPair(_u12239, _u12239), skolem314(_u12243, _u12241, _u12239)), _u12241)), _u12243)) )).
% 12.53/12.73 cnf(fact_acc_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12239), _u12241), c_Wellfounded_Oacc(_u12239, _u12243))) | ~hBOOL(hAPP(hAPP(c_member(_u12239), skolem314(_u12243, _u12241, _u12239)), c_Wellfounded_Oacc(_u12239, _u12243))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_max__ext__compat ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_max__ext__compat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12244, _u12244), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12244, _u12244, _u12244), _u12245), _u12246)), _u12245)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u12244, tc_HOL_Obool), tc_fun(_u12244, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u12244, tc_HOL_Obool), tc_fun(_u12244, tc_HOL_Obool), tc_fun(_u12244, tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u12244, _u12245)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u12244, tc_HOL_Obool), tc_fun(_u12244, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u12244, _u12246)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u12244, tc_HOL_Obool), tc_fun(_u12244, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12244, tc_HOL_Obool), tc_fun(_u12244, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u12244, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u12244, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u12244, tc_HOL_Obool), tc_fun(_u12244, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omax__ext(_u12244, _u12245))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_min__ext__compat ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_min__ext__compat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12247, _u12247), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12247, _u12247, _u12247), _u12248), _u12249)), _u12248)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u12247, tc_HOL_Obool), tc_fun(_u12247, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u12247, tc_HOL_Obool), tc_fun(_u12247, tc_HOL_Obool), tc_fun(_u12247, tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u12247, _u12248)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u12247, tc_HOL_Obool), tc_fun(_u12247, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u12247, _u12249)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u12247, tc_HOL_Obool), tc_fun(_u12247, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12247, tc_HOL_Obool), tc_fun(_u12247, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u12247, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u12247, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u12247, tc_HOL_Obool), tc_fun(_u12247, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omin__ext(_u12247, _u12248))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_pred__comp__rel__comp__eq ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_pred__comp__rel__comp__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12257, _u12259, _u12261, hAPP(hAPP(c_COMBC(_u12257, tc_fun(tc_prod(_u12257, _u12259), tc_HOL_Obool), tc_fun(_u12259, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12259, tc_fun(tc_fun(tc_prod(_u12257, _u12259), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12257, _u12259), tc_HOL_Obool), tc_fun(_u12259, tc_HOL_Obool)), _u12257), c_COMBC(_u12259, tc_fun(tc_prod(_u12257, _u12259), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12259, tc_prod(_u12257, _u12259)), tc_fun(_u12259, tc_fun(tc_fun(tc_prod(_u12257, _u12259), tc_HOL_Obool), tc_HOL_Obool)), _u12257), hAPP(c_COMBB(tc_prod(_u12257, _u12259), tc_fun(tc_fun(tc_prod(_u12257, _u12259), tc_HOL_Obool), tc_HOL_Obool), _u12259), c_member(tc_prod(_u12257, _u12259)))), c_Product__Type_OPair(_u12257, _u12259)))), _u12263), hAPP(hAPP(c_COMBC(_u12259, tc_fun(tc_prod(_u12259, _u12261), tc_HOL_Obool), tc_fun(_u12261, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12261, tc_fun(tc_fun(tc_prod(_u12259, _u12261), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12259, _u12261), tc_HOL_Obool), tc_fun(_u12261, tc_HOL_Obool)), _u12259), c_COMBC(_u12261, tc_fun(tc_prod(_u12259, _u12261), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12261, tc_prod(_u12259, _u12261)), tc_fun(_u12261, tc_fun(tc_fun(tc_prod(_u12259, _u12261), tc_HOL_Obool), tc_HOL_Obool)), _u12259), hAPP(c_COMBB(tc_prod(_u12259, _u12261), tc_fun(tc_fun(tc_prod(_u12259, _u12261), tc_HOL_Obool), tc_HOL_Obool), _u12261), c_member(tc_prod(_u12259, _u12261)))), c_Product__Type_OPair(_u12259, _u12261)))), _u12265)), _u12267), _u12269)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12257, _u12261)), hAPP(hAPP(c_Product__Type_OPair(_u12257, _u12261), _u12267), _u12269)), hAPP(hAPP(c_Relation_Orel__comp(_u12257, _u12259, _u12261), _u12263), _u12265))) )).
% 12.53/12.73 cnf(fact_pred__comp__rel__comp__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12258, _u12262)), hAPP(hAPP(c_Product__Type_OPair(_u12258, _u12262), _u12268), _u12270)), hAPP(hAPP(c_Relation_Orel__comp(_u12258, _u12260, _u12262), _u12264), _u12266))) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12258, _u12260, _u12262, hAPP(hAPP(c_COMBC(_u12258, tc_fun(tc_prod(_u12258, _u12260), tc_HOL_Obool), tc_fun(_u12260, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12260, tc_fun(tc_fun(tc_prod(_u12258, _u12260), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12258, _u12260), tc_HOL_Obool), tc_fun(_u12260, tc_HOL_Obool)), _u12258), c_COMBC(_u12260, tc_fun(tc_prod(_u12258, _u12260), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12260, tc_prod(_u12258, _u12260)), tc_fun(_u12260, tc_fun(tc_fun(tc_prod(_u12258, _u12260), tc_HOL_Obool), tc_HOL_Obool)), _u12258), hAPP(c_COMBB(tc_prod(_u12258, _u12260), tc_fun(tc_fun(tc_prod(_u12258, _u12260), tc_HOL_Obool), tc_HOL_Obool), _u12260), c_member(tc_prod(_u12258, _u12260)))), c_Product__Type_OPair(_u12258, _u12260)))), _u12264), hAPP(hAPP(c_COMBC(_u12260, tc_fun(tc_prod(_u12260, _u12262), tc_HOL_Obool), tc_fun(_u12262, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12262, tc_fun(tc_fun(tc_prod(_u12260, _u12262), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12260, _u12262), tc_HOL_Obool), tc_fun(_u12262, tc_HOL_Obool)), _u12260), c_COMBC(_u12262, tc_fun(tc_prod(_u12260, _u12262), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12262, tc_prod(_u12260, _u12262)), tc_fun(_u12262, tc_fun(tc_fun(tc_prod(_u12260, _u12262), tc_HOL_Obool), tc_HOL_Obool)), _u12260), hAPP(c_COMBB(tc_prod(_u12260, _u12262), tc_fun(tc_fun(tc_prod(_u12260, _u12262), tc_HOL_Obool), tc_HOL_Obool), _u12262), c_member(tc_prod(_u12260, _u12262)))), c_Product__Type_OPair(_u12260, _u12262)))), _u12266)), _u12268), _u12270)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_reduction__pairI ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_reduction__pairI-1, axiom, ( ~c_Wellfounded_Owf(_u12271, _u12272) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12271, _u12271), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12271, _u12271, _u12271), _u12272), _u12273)), _u12272)) | c_FunDef_Oreduction__pair(_u12271, hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(_u12271, _u12271), tc_HOL_Obool), tc_fun(tc_prod(_u12271, _u12271), tc_HOL_Obool)), _u12272), _u12273)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_max__extp_Oequations ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_max__extp_Oequations-1, axiom, ( ~c_Wellfounded_Omax__extp(_u12282, _u12284, _u12286, _u12288) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12282), _u12286)) )).
% 12.53/12.73 cnf(fact_max__extp_Oequations-2, axiom, ( ~c_Wellfounded_Omax__extp(_u12282, _u12284, _u12286, _u12288) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12282), _u12288)) )).
% 12.53/12.73 cnf(fact_max__extp_Oequations-3, axiom, ( ~c_Wellfounded_Omax__extp(_u12282, _u12284, _u12286, _u12288) | ( _u12288 != c_Orderings_Obot__class_Obot(tc_fun(_u12282, tc_HOL_Obool))) )).
% 12.53/12.73 cnf(fact_max__extp_Oequations-4, axiom, ( ~c_Wellfounded_Omax__extp(_u12282, _u12284, _u12286, _u12288) | ~hBOOL(hAPP(hAPP(c_member(_u12282), _u12275), _u12286)) | hBOOL(hAPP(hAPP(c_member(_u12282), skolem315(_u12288, _u12286, _u12284, _u12282, _u12275)), _u12288)) )).
% 12.53/12.73 cnf(fact_max__extp_Oequations-5, axiom, ( ~c_Wellfounded_Omax__extp(_u12282, _u12284, _u12286, _u12288) | ~hBOOL(hAPP(hAPP(c_member(_u12282), _u12275), _u12286)) | hBOOL(hAPP(hAPP(_u12284, _u12275), skolem315(_u12288, _u12286, _u12284, _u12282, _u12275))) )).
% 12.53/12.73 cnf(fact_max__extp_Oequations-6, axiom, ( c_Wellfounded_Omax__extp(_u12283, _u12285, _u12287, _u12289) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12283), _u12287)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12283), _u12289)) | ( _u12289 = c_Orderings_Obot__class_Obot(tc_fun(_u12283, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u12283), skolem316(_u12289, _u12287, _u12285, _u12283)), _u12287)) )).
% 12.53/12.73 cnf(fact_max__extp_Oequations-7, axiom, ( c_Wellfounded_Omax__extp(_u12283, _u12285, _u12287, _u12289) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12283), _u12287)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12283), _u12289)) | ( _u12289 = c_Orderings_Obot__class_Obot(tc_fun(_u12283, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u12283), _u12276), _u12289)) | ~hBOOL(hAPP(hAPP(_u12285, skolem316(_u12289, _u12287, _u12285, _u12283)), _u12276)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf__less__than ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf__less__than-1, axiom, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_pred__comp_Ointros ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_pred__comp_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u12290, _u12291), _u12292)) | ~hBOOL(hAPP(hAPP(_u12293, _u12292), _u12294)) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12295, _u12296, _u12297, _u12290, _u12293), _u12291), _u12294)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf__empty ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf__empty-1, axiom, ( c_Wellfounded_Owf(_u12298, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12298, _u12298), tc_HOL_Obool))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf__inv__image ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf__inv__image-1, axiom, ( ~c_Wellfounded_Owf(_u12299, _u12300) | c_Wellfounded_Owf(_u12301, hAPP(hAPP(c_Relation_Oinv__image(_u12299, _u12301), _u12300), _u12302)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf__lex__prod ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf__lex__prod-1, axiom, ( ~c_Wellfounded_Owf(_u12303, _u12304) | ~c_Wellfounded_Owf(_u12305, _u12306) | c_Wellfounded_Owf(tc_prod(_u12303, _u12305), c_Wellfounded_Olex__prod(_u12303, _u12305, _u12304, _u12306)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf__measure ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf__measure-1, axiom, ( c_Wellfounded_Owf(_u12307, hAPP(c_Wellfounded_Omeasure(_u12307), _u12308)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf__comp__self ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf__comp__self-1, axiom, ( ~c_Wellfounded_Owf(_u12311, _u12313) | c_Wellfounded_Owf(_u12311, hAPP(hAPP(c_Relation_Orel__comp(_u12311, _u12311, _u12311), _u12313), _u12313)) )).
% 12.53/12.73 cnf(fact_wf__comp__self-2, axiom, ( ~c_Wellfounded_Owf(_u12312, hAPP(hAPP(c_Relation_Orel__comp(_u12312, _u12312, _u12312), _u12314), _u12314)) | c_Wellfounded_Owf(_u12312, _u12314) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_min__ext__wf ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_min__ext__wf-1, axiom, ( ~c_Wellfounded_Owf(_u12315, _u12316) | c_Wellfounded_Owf(tc_fun(_u12315, tc_HOL_Obool), c_Wellfounded_Omin__ext(_u12315, _u12316)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf__finite__psubset ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf__finite__psubset-1, axiom, ( c_Wellfounded_Owf(tc_fun(_u12317, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u12317)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_pred__comp_Oequations ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_pred__comp_Oequations-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12327, _u12329, _u12331, _u12333, _u12335), _u12337), _u12339)) | hBOOL(hAPP(hAPP(_u12333, _u12337), skolem317(_u12339, _u12337, _u12335, _u12333))) )).
% 12.53/12.73 cnf(fact_pred__comp_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12327, _u12329, _u12331, _u12333, _u12335), _u12337), _u12339)) | hBOOL(hAPP(hAPP(_u12335, skolem317(_u12339, _u12337, _u12335, _u12333)), _u12339)) )).
% 12.53/12.73 cnf(fact_pred__comp_Oequations-3, axiom, ( ~hBOOL(hAPP(hAPP(_u12334, _u12338), _u12319)) | ~hBOOL(hAPP(hAPP(_u12336, _u12319), _u12340)) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12328, _u12330, _u12332, _u12334, _u12336), _u12338), _u12340)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf__subset ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf__subset-1, axiom, ( ~c_Wellfounded_Owf(_u12341, _u12342) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12341, _u12341), tc_HOL_Obool)), _u12343), _u12342)) | c_Wellfounded_Owf(_u12341, _u12343) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf__Int2 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf__Int2-1, axiom, ( ~c_Wellfounded_Owf(_u12344, _u12345) | c_Wellfounded_Owf(_u12344, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12344, _u12344), tc_HOL_Obool)), _u12346), _u12345)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf__Int1 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf__Int1-1, axiom, ( ~c_Wellfounded_Owf(_u12347, _u12348) | c_Wellfounded_Owf(_u12347, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12347, _u12347), tc_HOL_Obool)), _u12348), _u12349)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf__mlex ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf__mlex-1, axiom, ( ~c_Wellfounded_Owf(_u12350, _u12351) | c_Wellfounded_Owf(_u12350, c_Wellfounded_Omlex__prod(_u12350, _u12352, _u12351)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf__pair__less ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf__pair__less-1, axiom, ( c_Wellfounded_Owf(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_max__ext__wf ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_max__ext__wf-1, axiom, ( ~c_Wellfounded_Owf(_u12353, _u12354) | c_Wellfounded_Owf(tc_fun(_u12353, tc_HOL_Obool), c_Wellfounded_Omax__ext(_u12353, _u12354)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf__less ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf__less-1, axiom, ( c_Wellfounded_Owf(tc_Nat_Onat, hAPP(c_Set_OCollect(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf__irrefl ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf__irrefl-1, axiom, ( ~c_Wellfounded_Owf(_u12355, _u12356) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12355, _u12355)), hAPP(hAPP(c_Product__Type_OPair(_u12355, _u12355), _u12357), _u12357)), _u12356)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf__asym ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf__asym-1, axiom, ( ~c_Wellfounded_Owf(_u12358, _u12359) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12358, _u12358)), hAPP(hAPP(c_Product__Type_OPair(_u12358, _u12358), _u12360), _u12361)), _u12359)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12358, _u12358)), hAPP(hAPP(c_Product__Type_OPair(_u12358, _u12358), _u12361), _u12360)), _u12359)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf__not__sym ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf__not__sym-1, axiom, ( ~c_Wellfounded_Owf(_u12362, _u12363) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12362, _u12362)), hAPP(hAPP(c_Product__Type_OPair(_u12362, _u12362), _u12364), _u12365)), _u12363)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12362, _u12362)), hAPP(hAPP(c_Product__Type_OPair(_u12362, _u12362), _u12365), _u12364)), _u12363)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf__not__refl ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf__not__refl-1, axiom, ( ~c_Wellfounded_Owf(_u12366, _u12367) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12366, _u12366)), hAPP(hAPP(c_Product__Type_OPair(_u12366, _u12366), _u12368), _u12368)), _u12367)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf__int__ge__less__than ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf__int__ge__less__than-1, axiom, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than(_u12369)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf__int__ge__less__than2 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf__int__ge__less__than2-1, axiom, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than2(_u12370)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_acc__wfD ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_acc__wfD-1, axiom, ( ~c_Wellfounded_Owf(_u12371, _u12372) | hBOOL(hAPP(hAPP(c_member(_u12371), _u12373), c_Wellfounded_Oacc(_u12371, _u12372))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf__acc__iff ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf__acc__iff-1, axiom, ( ~c_Wellfounded_Owf(_u12378, _u12380) | hBOOL(hAPP(hAPP(c_member(_u12378), _u12374), c_Wellfounded_Oacc(_u12378, _u12380))) )).
% 12.53/12.73 cnf(fact_wf__acc__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12379), skolem318(_u12381, _u12379)), c_Wellfounded_Oacc(_u12379, _u12381))) | c_Wellfounded_Owf(_u12379, _u12381) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf__no__loop ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf__no__loop-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12382, _u12382, _u12382), _u12383), _u12383) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12382, _u12382), tc_HOL_Obool))) | c_Wellfounded_Owf(_u12382, _u12383) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf__union__merge ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf__union__merge-1, axiom, ( ~c_Wellfounded_Owf(_u12387, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12387, _u12387), tc_HOL_Obool)), _u12389), _u12391)) | c_Wellfounded_Owf(_u12387, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12387, _u12387), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12387, _u12387), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12387, _u12387, _u12387), _u12389), _u12389)), hAPP(hAPP(c_Relation_Orel__comp(_u12387, _u12387, _u12387), _u12391), _u12389))), _u12391)) )).
% 12.53/12.73 cnf(fact_wf__union__merge-2, axiom, ( ~c_Wellfounded_Owf(_u12388, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12388, _u12388), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12388, _u12388), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12388, _u12388, _u12388), _u12390), _u12390)), hAPP(hAPP(c_Relation_Orel__comp(_u12388, _u12388, _u12388), _u12392), _u12390))), _u12392)) | c_Wellfounded_Owf(_u12388, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12388, _u12388), tc_HOL_Obool)), _u12390), _u12392)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf__iff__no__infinite__down__chain ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf__iff__no__infinite__down__chain-1, axiom, ( ~c_Wellfounded_Owf(_u12399, _u12401) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12399, _u12399)), hAPP(hAPP(c_Product__Type_OPair(_u12399, _u12399), hAPP(_u12394, hAPP(c_Nat_OSuc, skolem319(_u12401, _u12399, _u12394)))), hAPP(_u12394, skolem319(_u12401, _u12399, _u12394)))), _u12401)) )).
% 12.53/12.73 cnf(fact_wf__iff__no__infinite__down__chain-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u12400, _u12400)), hAPP(hAPP(c_Product__Type_OPair(_u12400, _u12400), hAPP(skolem320(_u12402, _u12400), hAPP(c_Nat_OSuc, _u12395))), hAPP(skolem320(_u12402, _u12400), _u12395))), _u12402)) | c_Wellfounded_Owf(_u12400, _u12402) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wfE__pf ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wfE__pf-1, axiom, ( ~c_Wellfounded_Owf(_u12403, _u12404) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12403, tc_HOL_Obool)), _u12405), hAPP(c_Relation_OImage(_u12403, _u12403, _u12404), _u12405))) | ( _u12405 = c_Orderings_Obot__class_Obot(tc_fun(_u12403, tc_HOL_Obool))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf__union__compatible ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf__union__compatible-1, axiom, ( ~c_Wellfounded_Owf(_u12406, _u12407) | ~c_Wellfounded_Owf(_u12406, _u12408) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12406, _u12406), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12406, _u12406, _u12406), _u12407), _u12408)), _u12407)) | c_Wellfounded_Owf(_u12406, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12406, _u12406), tc_HOL_Obool)), _u12407), _u12408)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf-1, axiom, ( ~class_Orderings_Owellorder(_u12409) | c_Wellfounded_Owf(_u12409, hAPP(c_Set_OCollect(tc_prod(_u12409, _u12409)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12409, _u12409, tc_HOL_Obool), c_Orderings_Oord__class_Oless(_u12409)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_reduction__pair__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_reduction__pair__def-1, axiom, ( ~c_FunDef_Oreduction__pair(_u12412, _u12414) | c_Wellfounded_Owf(_u12412, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12412, _u12412), tc_HOL_Obool), tc_fun(tc_prod(_u12412, _u12412), tc_HOL_Obool)), _u12414)) )).
% 12.53/12.73 cnf(fact_reduction__pair__def-2, axiom, ( ~c_FunDef_Oreduction__pair(_u12412, _u12414) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12412, _u12412), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12412, _u12412, _u12412), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12412, _u12412), tc_HOL_Obool), tc_fun(tc_prod(_u12412, _u12412), tc_HOL_Obool)), _u12414)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u12412, _u12412), tc_HOL_Obool), tc_fun(tc_prod(_u12412, _u12412), tc_HOL_Obool)), _u12414))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12412, _u12412), tc_HOL_Obool), tc_fun(tc_prod(_u12412, _u12412), tc_HOL_Obool)), _u12414))) )).
% 12.53/12.73 cnf(fact_reduction__pair__def-3, axiom, ( ~c_Wellfounded_Owf(_u12413, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12413, _u12413), tc_HOL_Obool), tc_fun(tc_prod(_u12413, _u12413), tc_HOL_Obool)), _u12415)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12413, _u12413), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12413, _u12413, _u12413), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12413, _u12413), tc_HOL_Obool), tc_fun(tc_prod(_u12413, _u12413), tc_HOL_Obool)), _u12415)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u12413, _u12413), tc_HOL_Obool), tc_fun(tc_prod(_u12413, _u12413), tc_HOL_Obool)), _u12415))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12413, _u12413), tc_HOL_Obool), tc_fun(tc_prod(_u12413, _u12413), tc_HOL_Obool)), _u12415))) | c_FunDef_Oreduction__pair(_u12413, _u12415) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_reduction__pair__lemma ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_reduction__pair__lemma-1, axiom, ( ~c_FunDef_Oreduction__pair(_u12416, _u12417) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12416, _u12416), tc_HOL_Obool)), _u12418), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12416, _u12416), tc_HOL_Obool), tc_fun(tc_prod(_u12416, _u12416), tc_HOL_Obool)), _u12417))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12416, _u12416), tc_HOL_Obool)), _u12419), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u12416, _u12416), tc_HOL_Obool), tc_fun(tc_prod(_u12416, _u12416), tc_HOL_Obool)), _u12417))) | ~c_Wellfounded_Owf(_u12416, _u12419) | c_Wellfounded_Owf(_u12416, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12416, _u12416), tc_HOL_Obool)), _u12418), _u12419)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf__lenlex ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf__lenlex-1, axiom, ( ~c_Wellfounded_Owf(_u12420, _u12421) | c_Wellfounded_Owf(tc_List_Olist(_u12420), c_List_Olenlex(_u12420, _u12421)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf__if__measure ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf__if__measure-1, axiom, ( c_Wellfounded_Owf(_u12426, hAPP(c_Set_OCollect(tc_prod(_u12426, _u12426)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12426, _u12426, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u12426, tc_HOL_Obool), tc_fun(_u12426, tc_HOL_Obool), _u12426), hAPP(c_COMBS(_u12426, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12426), c_fconj), _u12423))), hAPP(hAPP(c_COMBC(_u12426, tc_fun(_u12426, _u12426), tc_fun(_u12426, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12426, tc_HOL_Obool), tc_fun(tc_fun(_u12426, _u12426), tc_fun(_u12426, tc_HOL_Obool)), _u12426), c_COMBB(_u12426, tc_HOL_Obool, _u12426)), c_fequal)), _u12425))))) | hBOOL(hAPP(_u12423, skolem321(_u12426, _u12425, _u12424, _u12423))) )).
% 12.53/12.73 cnf(fact_wf__if__measure-2, axiom, ( c_Wellfounded_Owf(_u12426, hAPP(c_Set_OCollect(tc_prod(_u12426, _u12426)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12426, _u12426, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u12426, tc_HOL_Obool), tc_fun(_u12426, tc_HOL_Obool), _u12426), hAPP(c_COMBS(_u12426, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12426), c_fconj), _u12423))), hAPP(hAPP(c_COMBC(_u12426, tc_fun(_u12426, _u12426), tc_fun(_u12426, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12426, tc_HOL_Obool), tc_fun(tc_fun(_u12426, _u12426), tc_fun(_u12426, tc_HOL_Obool)), _u12426), c_COMBB(_u12426, tc_HOL_Obool, _u12426)), c_fequal)), _u12425))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u12424, hAPP(_u12425, skolem321(_u12426, _u12425, _u12424, _u12423)))), hAPP(_u12424, skolem321(_u12426, _u12425, _u12424, _u12423)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_max__ext_Ointros ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_max__ext_Ointros-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12429), _u12430)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12429), _u12431)) | ( _u12431 = c_Orderings_Obot__class_Obot(tc_fun(_u12429, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12429, tc_HOL_Obool), tc_fun(_u12429, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12429, tc_HOL_Obool), tc_fun(_u12429, tc_HOL_Obool)), _u12430), _u12431)), c_Wellfounded_Omax__ext(_u12429, _u12432))) | hBOOL(hAPP(hAPP(c_member(_u12429), skolem322(_u12432, _u12431, _u12430, _u12429)), _u12430)) )).
% 12.53/12.73 cnf(fact_max__ext_Ointros-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12429), _u12430)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12429), _u12431)) | ( _u12431 = c_Orderings_Obot__class_Obot(tc_fun(_u12429, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12429, tc_HOL_Obool), tc_fun(_u12429, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12429, tc_HOL_Obool), tc_fun(_u12429, tc_HOL_Obool)), _u12430), _u12431)), c_Wellfounded_Omax__ext(_u12429, _u12432))) | ~hBOOL(hAPP(hAPP(c_member(_u12429), _u12427), _u12431)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12429, _u12429)), hAPP(hAPP(c_Product__Type_OPair(_u12429, _u12429), skolem322(_u12432, _u12431, _u12430, _u12429)), _u12427)), _u12432)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_pred__nat__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_pred__nat__def-1, axiom, ( ( c_Wellfounded_Opred__nat = hAPP(c_Set_OCollect(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_fequal)), c_Nat_OSuc)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf__lex ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf__lex-1, axiom, ( ~c_Wellfounded_Owf(_u12433, _u12434) | c_Wellfounded_Owf(tc_List_Olist(_u12433), c_List_Olex(_u12433, _u12434)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf__lexn ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf__lexn-1, axiom, ( ~c_Wellfounded_Owf(_u12435, _u12436) | c_Wellfounded_Owf(tc_List_Olist(_u12435), hAPP(c_List_Olexn(_u12435, _u12436), _u12437)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_lex__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_lex__def-1, axiom, ( ( c_List_Olex(_u12438, _u12439) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(tc_List_Olist(_u12438), tc_List_Olist(_u12438)), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_List_Olexn(_u12438, _u12439))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_lexn_Osimps_I1_J ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_lexn_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Olexn(_u12440, _u12441), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(_u12440), tc_List_Olist(_u12440)), tc_HOL_Obool))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf__pred__nat ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf__pred__nat-1, axiom, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Opred__nat) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf__same__fst ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf__same__fst-1, axiom, ( c_Wellfounded_Owf(tc_prod(_u12446, _u12444), c_Recdef_Osame__fst(_u12446, _u12444, _u12443, _u12445)) | hBOOL(hAPP(_u12443, skolem323(_u12446, _u12445, _u12444, _u12443))) )).
% 12.53/12.73 cnf(fact_wf__same__fst-2, axiom, ( c_Wellfounded_Owf(tc_prod(_u12446, _u12444), c_Recdef_Osame__fst(_u12446, _u12444, _u12443, _u12445)) | ~c_Wellfounded_Owf(_u12444, hAPP(_u12445, skolem323(_u12446, _u12445, _u12444, _u12443))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Nitpick_Ozero__frac__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Nitpick_Ozero__frac__def-1, axiom, ( ( c_Nitpick_Ozero__frac(_u12447) = c_Nitpick_OAbs__Frac(_u12447, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__on__Inter ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inj__on__Inter-1, axiom, ( ( _u12449 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u12450, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u12450, _u12451, _u12452, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u12450, tc_HOL_Obool), _u12449)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12450, tc_HOL_Obool)), skolem324(_u12452, _u12451, _u12450, _u12449)), _u12449)) )).
% 12.53/12.73 cnf(fact_inj__on__Inter-2, axiom, ( ( _u12449 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u12450, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u12450, _u12451, _u12452, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u12450, tc_HOL_Obool), _u12449)) | ~c_Fun_Oinj__on(_u12450, _u12451, _u12452, skolem324(_u12452, _u12451, _u12450, _u12449)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Nitpick_Oone__frac__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Nitpick_Oone__frac__def-1, axiom, ( ( c_Nitpick_Oone__frac(_u12453) = c_Nitpick_OAbs__Frac(_u12453, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Nitpick_Onumber__of__frac__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Nitpick_Onumber__of__frac__def-1, axiom, ( ( c_Nitpick_Onumber__of__frac(_u12454, _u12455) = c_Nitpick_OAbs__Frac(_u12454, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u12455), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Nitpick_Ofrac__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Nitpick_Ofrac__def-1, axiom, ( ( hAPP(hAPP(c_Nitpick_Ofrac(_u12456), _u12457), _u12458) = c_Nitpick_OAbs__Frac(_u12456, c_Nitpick_Onorm__frac(_u12457, _u12458))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Range__Collect__split ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Range__Collect__split-1, axiom, ( ( hAPP(c_Relation_ORange(_u12459, _u12460), hAPP(c_Set_OCollect(tc_prod(_u12459, _u12460)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12459, _u12460, tc_HOL_Obool), _u12461))) = hAPP(c_Set_OCollect(_u12460), hAPP(hAPP(c_COMBB(tc_fun(_u12459, tc_HOL_Obool), tc_HOL_Obool, _u12460), c_HOL_OEx(_u12459)), hAPP(c_COMBC(_u12459, _u12460, tc_HOL_Obool), _u12461)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_the__elem__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_the__elem__def-1, axiom, ( ( c_Set_Othe__elem(_u12462, _u12463) = c_HOL_OThe(_u12462, hAPP(hAPP(c_COMBB(tc_fun(_u12462, tc_HOL_Obool), tc_HOL_Obool, _u12462), hAPP(c_fequal, _u12463)), hAPP(hAPP(c_COMBC(_u12462, tc_fun(_u12462, tc_HOL_Obool), tc_fun(_u12462, tc_HOL_Obool)), c_Set_Oinsert(_u12462)), c_Orderings_Obot__class_Obot(tc_fun(_u12462, tc_HOL_Obool)))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wfP__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wfP__def-1, axiom, ( ~c_Wellfounded_OwfP(_u12466, _u12468) | c_Wellfounded_Owf(_u12466, hAPP(c_Set_OCollect(tc_prod(_u12466, _u12466)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12466, _u12466, tc_HOL_Obool), _u12468))) )).
% 12.53/12.73 cnf(fact_wfP__def-2, axiom, ( ~c_Wellfounded_Owf(_u12467, hAPP(c_Set_OCollect(tc_prod(_u12467, _u12467)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12467, _u12467, tc_HOL_Obool), _u12469))) | c_Wellfounded_OwfP(_u12467, _u12469) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wfP__empty ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wfP__empty-1, axiom, ( c_Wellfounded_OwfP(_u12470, hAPP(c_COMBK(tc_fun(_u12470, tc_HOL_Obool), _u12470), hAPP(c_COMBK(tc_HOL_Obool, _u12470), c_fFalse))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_RangeI ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_RangeI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12471, _u12472)), hAPP(hAPP(c_Product__Type_OPair(_u12471, _u12472), _u12473), _u12474)), _u12475)) | hBOOL(hAPP(hAPP(c_member(_u12472), _u12474), hAPP(c_Relation_ORange(_u12471, _u12472), _u12475))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wfP__accp__iff ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wfP__accp__iff-1, axiom, ( ~c_Wellfounded_OwfP(_u12480, _u12482) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u12480, _u12482), _u12476)) )).
% 12.53/12.73 cnf(fact_wfP__accp__iff-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u12481, _u12483), skolem325(_u12483, _u12481))) | c_Wellfounded_OwfP(_u12481, _u12483) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_accp__wfPD ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_accp__wfPD-1, axiom, ( ~c_Wellfounded_OwfP(_u12484, _u12485) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u12484, _u12485), _u12486)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_the__eq__trivial ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_the__eq__trivial-1, axiom, ( ( c_HOL_OThe(_u12487, hAPP(hAPP(c_COMBC(_u12487, _u12487, tc_HOL_Obool), c_fequal), _u12488)) = _u12488) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_the__sym__eq__trivial ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_the__sym__eq__trivial-1, axiom, ( ( c_HOL_OThe(_u12489, hAPP(c_fequal, _u12490)) = _u12490) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Range__Id__on ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Range__Id__on-1, axiom, ( ( hAPP(c_Relation_ORange(_u12491, _u12491), c_Relation_OId__on(_u12491, _u12492)) = _u12492) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wfP__subset ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wfP__subset-1, axiom, ( ~c_Wellfounded_OwfP(_u12493, _u12494) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12493, tc_fun(_u12493, tc_HOL_Obool))), _u12495), _u12494)) | c_Wellfounded_OwfP(_u12493, _u12495) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Range__Diff__subset ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Range__Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12496, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12496, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12497, _u12496), _u12498)), hAPP(c_Relation_ORange(_u12497, _u12496), _u12499))), hAPP(c_Relation_ORange(_u12497, _u12496), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12497, _u12496), tc_HOL_Obool)), _u12498), _u12499)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Range__Union ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Range__Union-1, axiom, ( ( hAPP(c_Relation_ORange(_u12500, _u12501), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u12500, _u12501), tc_HOL_Obool), _u12502)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u12500, _u12501), tc_HOL_Obool), tc_fun(_u12501, tc_HOL_Obool)), _u12502), c_Relation_ORange(_u12500, _u12501))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Range__empty ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Range__empty-1, axiom, ( ( hAPP(c_Relation_ORange(_u12503, _u12504), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12503, _u12504), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12504, tc_HOL_Obool))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Range__empty__iff ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Range__empty__iff-1, axiom, ( ( hAPP(c_Relation_ORange(_u12508, _u12510), _u12512) != c_Orderings_Obot__class_Obot(tc_fun(_u12510, tc_HOL_Obool))) | ( _u12512 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12508, _u12510), tc_HOL_Obool))) )).
% 12.53/12.73 cnf(fact_Range__empty__iff-2, axiom, ( ( _u12513 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12509, _u12511), tc_HOL_Obool))) | ( hAPP(c_Relation_ORange(_u12509, _u12511), _u12513) = c_Orderings_Obot__class_Obot(tc_fun(_u12511, tc_HOL_Obool))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Range__Un__eq ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Range__Un__eq-1, axiom, ( ( hAPP(c_Relation_ORange(_u12514, _u12515), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12514, _u12515), tc_HOL_Obool)), _u12516), _u12517)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12515, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12514, _u12515), _u12516)), hAPP(c_Relation_ORange(_u12514, _u12515), _u12517))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_finite__Range ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_finite__Range-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12518, _u12519)), _u12520)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12519), hAPP(c_Relation_ORange(_u12518, _u12519), _u12520))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_snd__eq__Range ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_snd__eq__Range-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u12521, _u12522), _u12522, c_Product__Type_Osnd(_u12521, _u12522)), _u12523) = hAPP(c_Relation_ORange(_u12521, _u12522), _u12523)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_split__paired__The ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_split__paired__The-1, axiom, ( ( c_HOL_OThe(tc_prod(_u12524, _u12525), _u12526) = c_HOL_OThe(tc_prod(_u12524, _u12525), hAPP(c_Product__Type_Oprod_Oprod__case(_u12524, _u12525, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u12525, tc_prod(_u12524, _u12525)), tc_fun(_u12525, tc_HOL_Obool), _u12524), hAPP(c_COMBB(tc_prod(_u12524, _u12525), tc_HOL_Obool, _u12525), _u12526)), c_Product__Type_OPair(_u12524, _u12525))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_The__split__eq ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_The__split__eq-1, axiom, ( ( c_HOL_OThe(tc_prod(_u12527, _u12528), hAPP(c_Product__Type_Oprod_Oprod__case(_u12527, _u12528, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12527, tc_fun(_u12528, tc_HOL_Obool), tc_fun(_u12528, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12528, tc_HOL_Obool), tc_fun(_u12528, tc_HOL_Obool)), _u12527), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12528)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12527), c_fconj), hAPP(c_fequal, _u12529)))), hAPP(c_fequal, _u12530)))) = hAPP(hAPP(c_Product__Type_OPair(_u12527, _u12528), _u12529), _u12530)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Range__iff ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Range__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12537), _u12539), hAPP(c_Relation_ORange(_u12541, _u12537), _u12543))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12541, _u12537)), hAPP(hAPP(c_Product__Type_OPair(_u12541, _u12537), skolem326(_u12543, _u12541, _u12539, _u12537)), _u12539)), _u12543)) )).
% 12.53/12.73 cnf(fact_Range__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12542, _u12538)), hAPP(hAPP(c_Product__Type_OPair(_u12542, _u12538), _u12532), _u12540)), _u12544)) | hBOOL(hAPP(hAPP(c_member(_u12538), _u12540), hAPP(c_Relation_ORange(_u12542, _u12538), _u12544))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_the__inv__into__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_the__inv__into__def-1, axiom, ( ( hAPP(c_Fun_Othe__inv__into(_u12545, _u12546, _u12547, _u12548), _u12549) = c_HOL_OThe(_u12545, hAPP(hAPP(c_COMBS(_u12545, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12545), c_fconj), hAPP(hAPP(c_COMBC(_u12545, tc_fun(_u12545, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12545)), _u12547))), hAPP(hAPP(c_COMBC(_u12545, _u12546, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u12546, tc_fun(_u12546, tc_HOL_Obool), _u12545), c_fequal), _u12548)), _u12549)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_fold__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_fold__def-1, axiom, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u12550, _u12551, _u12552), _u12553), _u12554) = c_HOL_OThe(_u12551, c_Finite__Set_Ofold__graph(_u12550, _u12551, _u12552, _u12553, _u12554))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Range__insert ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Range__insert-1, axiom, ( ( hAPP(c_Relation_ORange(_u12555, _u12556), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u12555, _u12556)), hAPP(hAPP(c_Product__Type_OPair(_u12555, _u12556), _u12557), _u12558)), _u12559)) = hAPP(hAPP(c_Set_Oinsert(_u12556), _u12558), hAPP(c_Relation_ORange(_u12555, _u12556), _u12559))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_divmod__nat__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_divmod__nat__def-1, axiom, ( ( c_Divides_Odivmod__nat(_u12560, _u12561) = c_HOL_OThe(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat__rel(_u12560, _u12561))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Range__Int__subset ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Range__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12562, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12563, _u12562), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12563, _u12562), tc_HOL_Obool)), _u12564), _u12565))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12562, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12563, _u12562), _u12564)), hAPP(c_Relation_ORange(_u12563, _u12562), _u12565)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_fold1__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_fold1__def-1, axiom, ( ( hAPP(c_Finite__Set_Ofold1(_u12566, _u12567), _u12568) = c_HOL_OThe(_u12566, c_Finite__Set_Ofold1Set(_u12566, _u12567, _u12568))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_The__split ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_The__split-1, axiom, ( ( c_HOL_OThe(tc_prod(_u12569, _u12570), hAPP(c_Product__Type_Oprod_Oprod__case(_u12569, _u12570, tc_HOL_Obool), _u12571)) = c_HOL_OThe(tc_prod(_u12569, _u12570), hAPP(hAPP(c_COMBS(tc_prod(_u12569, _u12570), _u12570, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u12569, tc_fun(_u12570, tc_HOL_Obool), tc_prod(_u12569, _u12570)), _u12571), c_Product__Type_Ofst(_u12569, _u12570))), c_Product__Type_Osnd(_u12569, _u12570)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf__in__rel ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf__in__rel-1, axiom, ( ~c_Wellfounded_Owf(_u12572, _u12573) | c_Wellfounded_OwfP(_u12572, c_FunDef_Oin__rel(_u12572, _u12572, _u12573)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wfP__wf__eq ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wfP__wf__eq-1, axiom, ( ~c_Wellfounded_OwfP(_u12576, hAPP(hAPP(c_COMBC(_u12576, tc_fun(tc_prod(_u12576, _u12576), tc_HOL_Obool), tc_fun(_u12576, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12576, tc_fun(tc_fun(tc_prod(_u12576, _u12576), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12576, _u12576), tc_HOL_Obool), tc_fun(_u12576, tc_HOL_Obool)), _u12576), c_COMBC(_u12576, tc_fun(tc_prod(_u12576, _u12576), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12576, tc_prod(_u12576, _u12576)), tc_fun(_u12576, tc_fun(tc_fun(tc_prod(_u12576, _u12576), tc_HOL_Obool), tc_HOL_Obool)), _u12576), hAPP(c_COMBB(tc_prod(_u12576, _u12576), tc_fun(tc_fun(tc_prod(_u12576, _u12576), tc_HOL_Obool), tc_HOL_Obool), _u12576), c_member(tc_prod(_u12576, _u12576)))), c_Product__Type_OPair(_u12576, _u12576)))), _u12578)) | c_Wellfounded_Owf(_u12576, _u12578) )).
% 12.53/12.73 cnf(fact_wfP__wf__eq-2, axiom, ( ~c_Wellfounded_Owf(_u12577, _u12579) | c_Wellfounded_OwfP(_u12577, hAPP(hAPP(c_COMBC(_u12577, tc_fun(tc_prod(_u12577, _u12577), tc_HOL_Obool), tc_fun(_u12577, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12577, tc_fun(tc_fun(tc_prod(_u12577, _u12577), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12577, _u12577), tc_HOL_Obool), tc_fun(_u12577, tc_HOL_Obool)), _u12577), c_COMBC(_u12577, tc_fun(tc_prod(_u12577, _u12577), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12577, tc_prod(_u12577, _u12577)), tc_fun(_u12577, tc_fun(tc_fun(tc_prod(_u12577, _u12577), tc_HOL_Obool), tc_HOL_Obool)), _u12577), hAPP(c_COMBB(tc_prod(_u12577, _u12577), tc_fun(tc_fun(tc_prod(_u12577, _u12577), tc_HOL_Obool), tc_HOL_Obool), _u12577), c_member(tc_prod(_u12577, _u12577)))), c_Product__Type_OPair(_u12577, _u12577)))), _u12579)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_RangeP__Range__eq ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_RangeP__Range__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_ORangeP(_u12584, _u12586, hAPP(hAPP(c_COMBC(_u12584, tc_fun(tc_prod(_u12584, _u12586), tc_HOL_Obool), tc_fun(_u12586, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12586, tc_fun(tc_fun(tc_prod(_u12584, _u12586), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12584, _u12586), tc_HOL_Obool), tc_fun(_u12586, tc_HOL_Obool)), _u12584), c_COMBC(_u12586, tc_fun(tc_prod(_u12584, _u12586), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12586, tc_prod(_u12584, _u12586)), tc_fun(_u12586, tc_fun(tc_fun(tc_prod(_u12584, _u12586), tc_HOL_Obool), tc_HOL_Obool)), _u12584), hAPP(c_COMBB(tc_prod(_u12584, _u12586), tc_fun(tc_fun(tc_prod(_u12584, _u12586), tc_HOL_Obool), tc_HOL_Obool), _u12586), c_member(tc_prod(_u12584, _u12586)))), c_Product__Type_OPair(_u12584, _u12586)))), _u12588)), _u12590)) | hBOOL(hAPP(hAPP(c_member(_u12586), _u12590), hAPP(c_Relation_ORange(_u12584, _u12586), _u12588))) )).
% 12.53/12.73 cnf(fact_RangeP__Range__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12587), _u12591), hAPP(c_Relation_ORange(_u12585, _u12587), _u12589))) | hBOOL(hAPP(c_Predicate_ORangeP(_u12585, _u12587, hAPP(hAPP(c_COMBC(_u12585, tc_fun(tc_prod(_u12585, _u12587), tc_HOL_Obool), tc_fun(_u12587, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12587, tc_fun(tc_fun(tc_prod(_u12585, _u12587), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12585, _u12587), tc_HOL_Obool), tc_fun(_u12587, tc_HOL_Obool)), _u12585), c_COMBC(_u12587, tc_fun(tc_prod(_u12585, _u12587), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12587, tc_prod(_u12585, _u12587)), tc_fun(_u12587, tc_fun(tc_fun(tc_prod(_u12585, _u12587), tc_HOL_Obool), tc_HOL_Obool)), _u12585), hAPP(c_COMBB(tc_prod(_u12585, _u12587), tc_fun(tc_fun(tc_prod(_u12585, _u12587), tc_HOL_Obool), tc_HOL_Obool), _u12587), c_member(tc_prod(_u12585, _u12587)))), c_Product__Type_OPair(_u12585, _u12587)))), _u12589)), _u12591)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_flat__lub__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_flat__lub__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12595, tc_HOL_Obool)), _u12597), hAPP(hAPP(c_Set_Oinsert(_u12595), _u12599), c_Orderings_Obot__class_Obot(tc_fun(_u12595, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u12595, _u12599, _u12597) = _u12599) )).
% 12.53/12.73 cnf(fact_flat__lub__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12596, tc_HOL_Obool)), _u12598), hAPP(hAPP(c_Set_Oinsert(_u12596), _u12600), c_Orderings_Obot__class_Obot(tc_fun(_u12596, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u12596, _u12600, _u12598) = c_HOL_OThe(_u12596, hAPP(hAPP(c_COMBC(_u12596, tc_fun(_u12596, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12596)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12596, tc_HOL_Obool)), _u12598), hAPP(hAPP(c_Set_Oinsert(_u12596), _u12600), c_Orderings_Obot__class_Obot(tc_fun(_u12596, tc_HOL_Obool))))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_RangeE ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_RangeE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12602), _u12603), hAPP(c_Relation_ORange(_u12604, _u12602), _u12605))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12604, _u12602)), hAPP(hAPP(c_Product__Type_OPair(_u12604, _u12602), skolem327(_u12605, _u12604, _u12603, _u12602)), _u12603)), _u12605)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_RangeP_Ointros ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_RangeP_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u12606, _u12607), _u12608)) | hBOOL(hAPP(c_Predicate_ORangeP(_u12609, _u12610, _u12606), _u12608)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_RangeP_Oequations ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_RangeP_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u12621, skolem328(_u12623, _u12621)), _u12623)) | ~hBOOL(hAPP(c_Predicate_ORangeP(_u12617, _u12619, _u12621), _u12623)) )).
% 12.53/12.73 cnf(fact_RangeP_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u12622, _u12612), _u12624)) | hBOOL(hAPP(c_Predicate_ORangeP(_u12618, _u12620, _u12622), _u12624)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__vimage__singleton ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inj__vimage__singleton-1, axiom, ( ~c_Fun_Oinj__on(_u12625, _u12626, _u12627, c_Orderings_Otop__class_Otop(tc_fun(_u12625, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12625, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12625, _u12626, _u12627), hAPP(hAPP(c_Set_Oinsert(_u12626), _u12628), c_Orderings_Obot__class_Obot(tc_fun(_u12626, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u12625), c_HOL_OThe(_u12625, hAPP(hAPP(c_COMBC(_u12625, _u12626, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u12626, tc_fun(_u12626, tc_HOL_Obool), _u12625), c_fequal), _u12627)), _u12628))), c_Orderings_Obot__class_Obot(tc_fun(_u12625, tc_HOL_Obool))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wfP__acyclicP ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wfP__acyclicP-1, axiom, ( ~c_Wellfounded_OwfP(_u12629, _u12630) | c_Wellfounded_Oacyclic(_u12629, hAPP(c_Set_OCollect(tc_prod(_u12629, _u12629)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12629, _u12629, tc_HOL_Obool), _u12630))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf__Un ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf__Un-1, axiom, ( ~c_Wellfounded_Owf(_u12631, _u12632) | ~c_Wellfounded_Owf(_u12631, _u12633) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12631, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12631, _u12631), _u12632)), hAPP(c_Relation_ORange(_u12631, _u12631), _u12633)) != c_Orderings_Obot__class_Obot(tc_fun(_u12631, tc_HOL_Obool))) | c_Wellfounded_Owf(_u12631, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12631, _u12631), tc_HOL_Obool)), _u12632), _u12633)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_vimageI ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_vimageI-1, axiom, ( ( hAPP(_u12634, _u12635) != _u12636) | ~hBOOL(hAPP(hAPP(c_member(_u12637), _u12636), _u12638)) | hBOOL(hAPP(hAPP(c_member(_u12639), _u12635), hAPP(c_Set_Ovimage(_u12639, _u12637, _u12634), _u12638))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_DomainI ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_DomainI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12640, _u12641)), hAPP(hAPP(c_Product__Type_OPair(_u12640, _u12641), _u12642), _u12643)), _u12644)) | hBOOL(hAPP(hAPP(c_member(_u12640), _u12642), hAPP(c_Relation_ODomain(_u12640, _u12641), _u12644))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_vimage__UN ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_vimage__UN-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12645, _u12646, _u12647), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12648, tc_fun(_u12646, tc_HOL_Obool)), _u12649), _u12650)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12648, tc_fun(_u12645, tc_HOL_Obool)), _u12649), hAPP(hAPP(c_COMBB(tc_fun(_u12646, tc_HOL_Obool), tc_fun(_u12645, tc_HOL_Obool), _u12648), c_Set_Ovimage(_u12645, _u12646, _u12647)), _u12650))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_vimage__Diff ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_vimage__Diff-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12651, _u12652, _u12653), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12652, tc_HOL_Obool)), _u12654), _u12655)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12651, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12651, _u12652, _u12653), _u12654)), hAPP(c_Set_Ovimage(_u12651, _u12652, _u12653), _u12655))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_vimage__Un ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_vimage__Un-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12656, _u12657, _u12658), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12657, tc_HOL_Obool)), _u12659), _u12660)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12656, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12656, _u12657, _u12658), _u12659)), hAPP(c_Set_Ovimage(_u12656, _u12657, _u12658), _u12660))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_vimage__mono ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_vimage__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12661, tc_HOL_Obool)), _u12662), _u12663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12664, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12664, _u12661, _u12665), _u12662)), hAPP(c_Set_Ovimage(_u12664, _u12661, _u12665), _u12663))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_vimageI2 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_vimageI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12666), hAPP(_u12667, _u12668)), _u12669)) | hBOOL(hAPP(hAPP(c_member(_u12670), _u12668), hAPP(c_Set_Ovimage(_u12670, _u12666, _u12667), _u12669))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_vimageD ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_vimageD-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12673), hAPP(_u12674, _u12672)), _u12675)) | ~hBOOL(hAPP(hAPP(c_member(_u12671), _u12672), hAPP(c_Set_Ovimage(_u12671, _u12673, _u12674), _u12675))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_vimage__eq ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_vimage__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12685), hAPP(_u12687, _u12683)), _u12689)) | ~hBOOL(hAPP(hAPP(c_member(_u12681), _u12683), hAPP(c_Set_Ovimage(_u12681, _u12685, _u12687), _u12689))) )).
% 12.53/12.73 cnf(fact_vimage__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12686), hAPP(_u12688, _u12684)), _u12690)) | hBOOL(hAPP(hAPP(c_member(_u12682), _u12684), hAPP(c_Set_Ovimage(_u12682, _u12686, _u12688), _u12690))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_vimage__ident ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_vimage__ident-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12691, _u12691, c_COMBI(_u12691)), _u12692) = _u12692) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_vimage__INT ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_vimage__INT-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12693, _u12694, _u12695), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u12696, tc_fun(_u12694, tc_HOL_Obool)), _u12697), _u12698)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u12696, tc_fun(_u12693, tc_HOL_Obool)), _u12697), hAPP(hAPP(c_COMBB(tc_fun(_u12694, tc_HOL_Obool), tc_fun(_u12693, tc_HOL_Obool), _u12696), c_Set_Ovimage(_u12693, _u12694, _u12695)), _u12698))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_vimage__Int ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_vimage__Int-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12699, _u12700, _u12701), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12700, tc_HOL_Obool)), _u12702), _u12703)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12699, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12699, _u12700, _u12701), _u12702)), hAPP(c_Set_Ovimage(_u12699, _u12700, _u12701), _u12703))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_vimage__Compl ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_vimage__Compl-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12704, _u12705, _u12706), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12705, tc_HOL_Obool)), _u12707)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12704, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12704, _u12705, _u12706), _u12707))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_vimage__code ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_vimage__code-1, axiom, ( hBOOL(hAPP(_u12719, hAPP(_u12717, _u12721))) | ~hBOOL(hAPP(hAPP(c_Set_Ovimage(_u12713, _u12715, _u12717), _u12719), _u12721)) )).
% 12.53/12.73 cnf(fact_vimage__code-2, axiom, ( ~hBOOL(hAPP(_u12720, hAPP(_u12718, _u12722))) | hBOOL(hAPP(hAPP(c_Set_Ovimage(_u12714, _u12716, _u12718), _u12720), _u12722)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Domain__Id__on ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Domain__Id__on-1, axiom, ( ( hAPP(c_Relation_ODomain(_u12723, _u12723), c_Relation_OId__on(_u12723, _u12724)) = _u12724) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_vimage__UNIV ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_vimage__UNIV-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12725, _u12726, _u12727), c_Orderings_Otop__class_Otop(tc_fun(_u12726, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u12725, tc_HOL_Obool))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_acyclic__subset ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_acyclic__subset-1, axiom, ( ~c_Wellfounded_Oacyclic(_u12728, _u12729) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12728, _u12728), tc_HOL_Obool)), _u12730), _u12729)) | c_Wellfounded_Oacyclic(_u12728, _u12730) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf__acyclic ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf__acyclic-1, axiom, ( ~c_Wellfounded_Owf(_u12731, _u12732) | c_Wellfounded_Oacyclic(_u12731, _u12732) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_vimage__Collect__eq ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_vimage__Collect__eq-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12733, _u12734, _u12735), hAPP(c_Set_OCollect(_u12734), _u12736)) = hAPP(c_Set_OCollect(_u12733), hAPP(hAPP(c_COMBB(_u12734, tc_HOL_Obool, _u12733), _u12736), _u12735))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_vimage__empty ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_vimage__empty-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12737, _u12738, _u12739), c_Orderings_Obot__class_Obot(tc_fun(_u12738, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12737, tc_HOL_Obool))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_image__vimage__subset ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_image__vimage__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12740, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12741, _u12740, _u12742), hAPP(c_Set_Ovimage(_u12741, _u12740, _u12742), _u12743))), _u12743)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_surj__image__vimage__eq ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_surj__image__vimage__eq-1, axiom, ( ( hAPP(c_Set_Oimage(_u12744, _u12745, _u12746), c_Orderings_Otop__class_Otop(tc_fun(_u12744, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u12745, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u12744, _u12745, _u12746), hAPP(c_Set_Ovimage(_u12744, _u12745, _u12746), _u12747)) = _u12747) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_vimage__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_vimage__def-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12748, _u12749, _u12750), _u12751) = hAPP(c_Set_OCollect(_u12748), hAPP(hAPP(c_COMBC(_u12748, tc_fun(_u12749, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u12749, tc_fun(tc_fun(_u12749, tc_HOL_Obool), tc_HOL_Obool), _u12748), c_member(_u12749)), _u12750)), _u12751))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Domain__empty ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Domain__empty-1, axiom, ( ( hAPP(c_Relation_ODomain(_u12752, _u12753), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12752, _u12753), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12752, tc_HOL_Obool))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Domain__empty__iff ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Domain__empty__iff-1, axiom, ( ( hAPP(c_Relation_ODomain(_u12757, _u12759), _u12761) != c_Orderings_Obot__class_Obot(tc_fun(_u12757, tc_HOL_Obool))) | ( _u12761 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12757, _u12759), tc_HOL_Obool))) )).
% 12.53/12.73 cnf(fact_Domain__empty__iff-2, axiom, ( ( _u12762 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12758, _u12760), tc_HOL_Obool))) | ( hAPP(c_Relation_ODomain(_u12758, _u12760), _u12762) = c_Orderings_Obot__class_Obot(tc_fun(_u12758, tc_HOL_Obool))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Domain__mono ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Domain__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12763, _u12764), tc_HOL_Obool)), _u12765), _u12766)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12763, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12763, _u12764), _u12765)), hAPP(c_Relation_ODomain(_u12763, _u12764), _u12766))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Domain__Un__eq ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Domain__Un__eq-1, axiom, ( ( hAPP(c_Relation_ODomain(_u12767, _u12768), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12767, _u12768), tc_HOL_Obool)), _u12769), _u12770)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12767, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12767, _u12768), _u12769)), hAPP(c_Relation_ODomain(_u12767, _u12768), _u12770))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_finite__Domain ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_finite__Domain-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12771, _u12772)), _u12773)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12771), hAPP(c_Relation_ODomain(_u12771, _u12772), _u12773))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_fst__eq__Domain ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_fst__eq__Domain-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u12774, _u12775), _u12774, c_Product__Type_Ofst(_u12774, _u12775)), _u12776) = hAPP(c_Relation_ODomain(_u12774, _u12775), _u12776)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_vimage__Union ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_vimage__Union-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12777, _u12778, _u12779), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u12778, tc_HOL_Obool), _u12780)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u12778, tc_HOL_Obool), tc_fun(_u12777, tc_HOL_Obool)), _u12780), c_Set_Ovimage(_u12777, _u12778, _u12779))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_vimage__singleton__eq ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_vimage__singleton__eq-1, axiom, ( ( hAPP(_u12792, _u12788) = _u12794) | ~hBOOL(hAPP(hAPP(c_member(_u12786), _u12788), hAPP(c_Set_Ovimage(_u12786, _u12790, _u12792), hAPP(hAPP(c_Set_Oinsert(_u12790), _u12794), c_Orderings_Obot__class_Obot(tc_fun(_u12790, tc_HOL_Obool)))))) )).
% 12.53/12.73 cnf(fact_vimage__singleton__eq-2, axiom, ( ( hAPP(_u12793, _u12789) != _u12795) | hBOOL(hAPP(hAPP(c_member(_u12787), _u12789), hAPP(c_Set_Ovimage(_u12787, _u12791, _u12793), hAPP(hAPP(c_Set_Oinsert(_u12791), _u12795), c_Orderings_Obot__class_Obot(tc_fun(_u12791, tc_HOL_Obool)))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_vimage__insert ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_vimage__insert-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12796, _u12797, _u12798), hAPP(hAPP(c_Set_Oinsert(_u12797), _u12799), _u12800)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12796, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12796, _u12797, _u12798), hAPP(hAPP(c_Set_Oinsert(_u12797), _u12799), c_Orderings_Obot__class_Obot(tc_fun(_u12797, tc_HOL_Obool))))), hAPP(c_Set_Ovimage(_u12796, _u12797, _u12798), _u12800))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_finite__vimageD ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_finite__vimageD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12801), hAPP(c_Set_Ovimage(_u12801, _u12802, _u12803), _u12804))) | ( hAPP(c_Set_Oimage(_u12801, _u12802, _u12803), c_Orderings_Otop__class_Otop(tc_fun(_u12801, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u12802, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12802), _u12804)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_vimage__subsetD ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_vimage__subsetD-1, axiom, ( ( hAPP(c_Set_Oimage(_u12805, _u12806, _u12807), c_Orderings_Otop__class_Otop(tc_fun(_u12805, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u12806, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12805, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12805, _u12806, _u12807), _u12808)), _u12809)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12806, tc_HOL_Obool)), _u12808), hAPP(c_Set_Oimage(_u12805, _u12806, _u12807), _u12809))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_image__vimage__eq ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_image__vimage__eq-1, axiom, ( ( hAPP(c_Set_Oimage(_u12810, _u12811, _u12812), hAPP(c_Set_Ovimage(_u12810, _u12811, _u12812), _u12813)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12811, tc_HOL_Obool)), _u12813), hAPP(c_Set_Oimage(_u12810, _u12811, _u12812), c_Orderings_Otop__class_Otop(tc_fun(_u12810, tc_HOL_Obool))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_finite__vimageI ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_finite__vimageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12814), _u12815)) | ~c_Fun_Oinj__on(_u12816, _u12814, _u12817, c_Orderings_Otop__class_Otop(tc_fun(_u12816, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12816), hAPP(c_Set_Ovimage(_u12816, _u12814, _u12817), _u12815))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_inj__vimage__image__eq ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_inj__vimage__image__eq-1, axiom, ( ~c_Fun_Oinj__on(_u12818, _u12819, _u12820, c_Orderings_Otop__class_Otop(tc_fun(_u12818, tc_HOL_Obool))) | ( hAPP(c_Set_Ovimage(_u12818, _u12819, _u12820), hAPP(c_Set_Oimage(_u12818, _u12819, _u12820), _u12821)) = _u12821) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_vimage__const ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_vimage__const-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12826), _u12828), _u12830)) | ( hAPP(c_Set_Ovimage(_u12832, _u12826, hAPP(c_COMBK(_u12826, _u12832), _u12828)), _u12830) = c_Orderings_Otop__class_Otop(tc_fun(_u12832, tc_HOL_Obool))) )).
% 12.53/12.73 cnf(fact_vimage__const-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12827), _u12829), _u12831)) | ( hAPP(c_Set_Ovimage(_u12833, _u12827, hAPP(c_COMBK(_u12827, _u12833), _u12829)), _u12831) = c_Orderings_Obot__class_Obot(tc_fun(_u12833, tc_HOL_Obool))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_vimage__eq__UN ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_vimage__eq__UN-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12834, _u12835, _u12836), _u12837) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12835, tc_fun(_u12834, tc_HOL_Obool)), _u12837), hAPP(hAPP(c_COMBB(tc_fun(_u12835, tc_HOL_Obool), tc_fun(_u12834, tc_HOL_Obool), _u12835), c_Set_Ovimage(_u12834, _u12835, _u12836)), hAPP(hAPP(c_COMBC(_u12835, tc_fun(_u12835, tc_HOL_Obool), tc_fun(_u12835, tc_HOL_Obool)), c_Set_Oinsert(_u12835)), c_Orderings_Obot__class_Obot(tc_fun(_u12835, tc_HOL_Obool)))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Domain__iff ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Domain__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12844), _u12846), hAPP(c_Relation_ODomain(_u12844, _u12848), _u12850))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12844, _u12848)), hAPP(hAPP(c_Product__Type_OPair(_u12844, _u12848), _u12846), skolem329(_u12850, _u12848, _u12846, _u12844))), _u12850)) )).
% 12.53/12.73 cnf(fact_Domain__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12845, _u12849)), hAPP(hAPP(c_Product__Type_OPair(_u12845, _u12849), _u12847), _u12839)), _u12851)) | hBOOL(hAPP(hAPP(c_member(_u12845), _u12847), hAPP(c_Relation_ODomain(_u12845, _u12849), _u12851))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Domain__insert ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Domain__insert-1, axiom, ( ( hAPP(c_Relation_ODomain(_u12852, _u12853), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u12852, _u12853)), hAPP(hAPP(c_Product__Type_OPair(_u12852, _u12853), _u12854), _u12855)), _u12856)) = hAPP(hAPP(c_Set_Oinsert(_u12852), _u12854), hAPP(c_Relation_ODomain(_u12852, _u12853), _u12856))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_wf__iff__acyclic__if__finite ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_wf__iff__acyclic__if__finite-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12857, _u12857)), _u12858)) | ~c_Wellfounded_Owf(_u12857, _u12858) | c_Wellfounded_Oacyclic(_u12857, _u12858) )).
% 12.53/12.73 cnf(fact_wf__iff__acyclic__if__finite-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12857, _u12857)), _u12858)) | ~c_Wellfounded_Oacyclic(_u12857, _u12858) | c_Wellfounded_Owf(_u12857, _u12858) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_finite__acyclic__wf ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_finite__acyclic__wf-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12859, _u12859)), _u12860)) | ~c_Wellfounded_Oacyclic(_u12859, _u12860) | c_Wellfounded_Owf(_u12859, _u12860) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Domain__Int__subset ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Domain__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12861, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12861, _u12862), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12861, _u12862), tc_HOL_Obool)), _u12863), _u12864))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12861, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12861, _u12862), _u12863)), hAPP(c_Relation_ODomain(_u12861, _u12862), _u12864)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_vimage__subsetI ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_vimage__subsetI-1, axiom, ( ~c_Fun_Oinj__on(_u12865, _u12866, _u12867, c_Orderings_Otop__class_Otop(tc_fun(_u12865, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12866, tc_HOL_Obool)), _u12868), hAPP(c_Set_Oimage(_u12865, _u12866, _u12867), _u12869))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12865, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12865, _u12866, _u12867), _u12868)), _u12869)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Domain__Diff__subset ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Domain__Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12870, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12870, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12870, _u12871), _u12872)), hAPP(c_Relation_ODomain(_u12870, _u12871), _u12873))), hAPP(c_Relation_ODomain(_u12870, _u12871), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12870, _u12871), tc_HOL_Obool)), _u12872), _u12873)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Field__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Field__def-1, axiom, ( ( hAPP(c_Relation_OField(_u12874), _u12875) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12874, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12874, _u12874), _u12875)), hAPP(c_Relation_ORange(_u12874, _u12874), _u12875))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_vimage__if ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_vimage__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12882), _u12884), _u12886)) | ~hBOOL(hAPP(hAPP(c_member(_u12882), _u12888), _u12886)) | ( hAPP(c_Set_Ovimage(_u12890, _u12882, hAPP(hAPP(c_COMBC(_u12890, _u12882, _u12882), hAPP(hAPP(c_COMBC(_u12890, _u12882, tc_fun(_u12882, _u12882)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12882, tc_fun(_u12882, _u12882)), _u12890), c_If(_u12882)), hAPP(hAPP(c_COMBC(_u12890, tc_fun(_u12890, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12890)), _u12892))), _u12884)), _u12888)), _u12886) = c_Orderings_Otop__class_Otop(tc_fun(_u12890, tc_HOL_Obool))) )).
% 12.53/12.73 cnf(fact_vimage__if-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12882), _u12884), _u12886)) | hBOOL(hAPP(hAPP(c_member(_u12882), _u12888), _u12886)) | ( hAPP(c_Set_Ovimage(_u12890, _u12882, hAPP(hAPP(c_COMBC(_u12890, _u12882, _u12882), hAPP(hAPP(c_COMBC(_u12890, _u12882, tc_fun(_u12882, _u12882)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12882, tc_fun(_u12882, _u12882)), _u12890), c_If(_u12882)), hAPP(hAPP(c_COMBC(_u12890, tc_fun(_u12890, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12890)), _u12892))), _u12884)), _u12888)), _u12886) = _u12892) )).
% 12.53/12.73 cnf(fact_vimage__if-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12883), _u12885), _u12887)) | ~hBOOL(hAPP(hAPP(c_member(_u12883), _u12889), _u12887)) | ( hAPP(c_Set_Ovimage(_u12891, _u12883, hAPP(hAPP(c_COMBC(_u12891, _u12883, _u12883), hAPP(hAPP(c_COMBC(_u12891, _u12883, tc_fun(_u12883, _u12883)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12883, tc_fun(_u12883, _u12883)), _u12891), c_If(_u12883)), hAPP(hAPP(c_COMBC(_u12891, tc_fun(_u12891, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12891)), _u12893))), _u12885)), _u12889)), _u12887) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12891, tc_HOL_Obool)), _u12893)) )).
% 12.53/12.73 cnf(fact_vimage__if-4, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12883), _u12885), _u12887)) | hBOOL(hAPP(hAPP(c_member(_u12883), _u12889), _u12887)) | ( hAPP(c_Set_Ovimage(_u12891, _u12883, hAPP(hAPP(c_COMBC(_u12891, _u12883, _u12883), hAPP(hAPP(c_COMBC(_u12891, _u12883, tc_fun(_u12883, _u12883)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12883, tc_fun(_u12883, _u12883)), _u12891), c_If(_u12883)), hAPP(hAPP(c_COMBC(_u12891, tc_fun(_u12891, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12891)), _u12893))), _u12885)), _u12889)), _u12887) = c_Orderings_Obot__class_Obot(tc_fun(_u12891, tc_HOL_Obool))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Domain__Union ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Domain__Union-1, axiom, ( ( hAPP(c_Relation_ODomain(_u12894, _u12895), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u12894, _u12895), tc_HOL_Obool), _u12896)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u12894, _u12895), tc_HOL_Obool), tc_fun(_u12894, tc_HOL_Obool)), _u12896), c_Relation_ODomain(_u12894, _u12895))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Domain__Collect__split ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Domain__Collect__split-1, axiom, ( ( hAPP(c_Relation_ODomain(_u12897, _u12898), hAPP(c_Set_OCollect(tc_prod(_u12897, _u12898)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12897, _u12898, tc_HOL_Obool), _u12899))) = hAPP(c_Set_OCollect(_u12897), hAPP(hAPP(c_COMBB(tc_fun(_u12898, tc_HOL_Obool), tc_HOL_Obool, _u12897), c_HOL_OEx(_u12898)), _u12899))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_DomainP__Domain__eq ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_DomainP__Domain__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_ODomainP(_u12904, _u12906, hAPP(hAPP(c_COMBC(_u12904, tc_fun(tc_prod(_u12904, _u12906), tc_HOL_Obool), tc_fun(_u12906, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12906, tc_fun(tc_fun(tc_prod(_u12904, _u12906), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12904, _u12906), tc_HOL_Obool), tc_fun(_u12906, tc_HOL_Obool)), _u12904), c_COMBC(_u12906, tc_fun(tc_prod(_u12904, _u12906), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12906, tc_prod(_u12904, _u12906)), tc_fun(_u12906, tc_fun(tc_fun(tc_prod(_u12904, _u12906), tc_HOL_Obool), tc_HOL_Obool)), _u12904), hAPP(c_COMBB(tc_prod(_u12904, _u12906), tc_fun(tc_fun(tc_prod(_u12904, _u12906), tc_HOL_Obool), tc_HOL_Obool), _u12906), c_member(tc_prod(_u12904, _u12906)))), c_Product__Type_OPair(_u12904, _u12906)))), _u12908)), _u12910)) | hBOOL(hAPP(hAPP(c_member(_u12904), _u12910), hAPP(c_Relation_ODomain(_u12904, _u12906), _u12908))) )).
% 12.53/12.73 cnf(fact_DomainP__Domain__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12905), _u12911), hAPP(c_Relation_ODomain(_u12905, _u12907), _u12909))) | hBOOL(hAPP(c_Predicate_ODomainP(_u12905, _u12907, hAPP(hAPP(c_COMBC(_u12905, tc_fun(tc_prod(_u12905, _u12907), tc_HOL_Obool), tc_fun(_u12907, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12907, tc_fun(tc_fun(tc_prod(_u12905, _u12907), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12905, _u12907), tc_HOL_Obool), tc_fun(_u12907, tc_HOL_Obool)), _u12905), c_COMBC(_u12907, tc_fun(tc_prod(_u12905, _u12907), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12907, tc_prod(_u12905, _u12907)), tc_fun(_u12907, tc_fun(tc_fun(tc_prod(_u12905, _u12907), tc_HOL_Obool), tc_HOL_Obool)), _u12905), hAPP(c_COMBB(tc_prod(_u12905, _u12907), tc_fun(tc_fun(tc_prod(_u12905, _u12907), tc_HOL_Obool), tc_HOL_Obool), _u12907), c_member(tc_prod(_u12905, _u12907)))), c_Product__Type_OPair(_u12905, _u12907)))), _u12909)), _u12911)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Nitpick_Owf_H__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Nitpick_Owf_H__def-1, axiom, ( ~c_Nitpick_Owf_H(_u12914, _u12916) | c_Wellfounded_Oacyclic(_u12914, _u12916) )).
% 12.53/12.73 cnf(fact_Nitpick_Owf_H__def-2, axiom, ( ~c_Nitpick_Owf_H(_u12914, _u12916) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12914, _u12914)), _u12916)) | c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 12.53/12.73 cnf(fact_Nitpick_Owf_H__def-3, axiom, ( c_Nitpick_Owf_H(_u12915, _u12917) | ~c_Wellfounded_Oacyclic(_u12915, _u12917) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12915, _u12915)), _u12917)) )).
% 12.53/12.73 cnf(fact_Nitpick_Owf_H__def-4, axiom, ( c_Nitpick_Owf_H(_u12915, _u12917) | ~c_Wellfounded_Oacyclic(_u12915, _u12917) | ~c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_DomainE ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_DomainE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12919), _u12920), hAPP(c_Relation_ODomain(_u12919, _u12921), _u12922))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12919, _u12921)), hAPP(hAPP(c_Product__Type_OPair(_u12919, _u12921), _u12920), skolem330(_u12922, _u12921, _u12920, _u12919))), _u12922)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_DomainP_Ointros ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_DomainP_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u12923, _u12924), _u12925)) | hBOOL(hAPP(c_Predicate_ODomainP(_u12926, _u12927, _u12923), _u12924)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_DomainP_Oequations ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_DomainP_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u12938, _u12940), skolem331(_u12940, _u12938))) | ~hBOOL(hAPP(c_Predicate_ODomainP(_u12934, _u12936, _u12938), _u12940)) )).
% 12.53/12.73 cnf(fact_DomainP_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u12939, _u12941), _u12929)) | hBOOL(hAPP(c_Predicate_ODomainP(_u12935, _u12937, _u12939), _u12941)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_image__split__eq__Sigma ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_image__split__eq__Sigma-1, axiom, ( ( hAPP(c_Set_Oimage(_u12942, tc_prod(_u12943, _u12944), hAPP(hAPP(c_COMBS(_u12942, _u12944, tc_prod(_u12943, _u12944)), hAPP(hAPP(c_COMBB(_u12943, tc_fun(_u12944, tc_prod(_u12943, _u12944)), _u12942), c_Product__Type_OPair(_u12943, _u12944)), _u12945)), _u12946)), _u12947) = hAPP(hAPP(c_Product__Type_OSigma(_u12943, _u12944), hAPP(c_Set_Oimage(_u12942, _u12943, _u12945), _u12947)), hAPP(hAPP(c_COMBB(tc_fun(_u12942, tc_HOL_Obool), tc_fun(_u12944, tc_HOL_Obool), _u12943), c_Set_Oimage(_u12942, _u12944, _u12946)), hAPP(hAPP(c_COMBC(_u12943, tc_fun(_u12942, tc_HOL_Obool), tc_fun(_u12942, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12942, tc_HOL_Obool), tc_fun(tc_fun(_u12942, tc_HOL_Obool), tc_fun(_u12942, tc_HOL_Obool)), _u12943), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12942, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12943, tc_HOL_Obool), tc_fun(_u12942, tc_HOL_Obool), _u12943), c_Set_Ovimage(_u12942, _u12943, _u12945)), hAPP(hAPP(c_COMBC(_u12943, tc_fun(_u12943, tc_HOL_Obool), tc_fun(_u12943, tc_HOL_Obool)), c_Set_Oinsert(_u12943)), c_Orderings_Obot__class_Obot(tc_fun(_u12943, tc_HOL_Obool)))))), _u12947)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Rep__Integ__cases ( axiom ) converted to clauses:
% 12.53/12.73 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)), _u12949), c_Int_OInteg)) | ( _u12949 = hAPP(c_Int_ORep__Integ, skolem332(_u12949))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Rep__Integ__induct ( axiom ) converted to clauses:
% 12.53/12.73 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)), _u12951), c_Int_OInteg)) | ~hBOOL(hAPP(_u12952, hAPP(c_Int_ORep__Integ, skolem333(_u12952, _u12951)))) | hBOOL(hAPP(_u12952, _u12951)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_SigmaI ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_SigmaI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12953), _u12954), _u12955)) | ~hBOOL(hAPP(hAPP(c_member(_u12956), _u12957), hAPP(_u12958, _u12954))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12953, _u12956)), hAPP(hAPP(c_Product__Type_OPair(_u12953, _u12956), _u12954), _u12957)), hAPP(hAPP(c_Product__Type_OSigma(_u12953, _u12956), _u12955), _u12958))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Sigma__Union ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Sigma__Union-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12959, _u12960), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u12959, tc_HOL_Obool), _u12961)), _u12962) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u12959, tc_HOL_Obool), tc_fun(tc_prod(_u12959, _u12960), tc_HOL_Obool)), _u12961), hAPP(hAPP(c_COMBC(tc_fun(_u12959, tc_HOL_Obool), tc_fun(_u12959, tc_fun(_u12960, tc_HOL_Obool)), tc_fun(tc_prod(_u12959, _u12960), tc_HOL_Obool)), c_Product__Type_OSigma(_u12959, _u12960)), _u12962))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Times__eq__cancel2 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Times__eq__cancel2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12963), _u12964), _u12965)) | ( hAPP(hAPP(c_Product__Type_OSigma(_u12966, _u12963), _u12967), hAPP(c_COMBK(tc_fun(_u12963, tc_HOL_Obool), _u12966), _u12965)) != hAPP(hAPP(c_Product__Type_OSigma(_u12966, _u12963), _u12968), hAPP(c_COMBK(tc_fun(_u12963, tc_HOL_Obool), _u12966), _u12965))) | ( _u12967 = _u12968) )).
% 12.53/12.73 cnf(fact_Times__eq__cancel2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12963), _u12964), _u12965)) | ( _u12967 != _u12968) | ( hAPP(hAPP(c_Product__Type_OSigma(_u12966, _u12963), _u12967), hAPP(c_COMBK(tc_fun(_u12963, tc_HOL_Obool), _u12966), _u12965)) = hAPP(hAPP(c_Product__Type_OSigma(_u12966, _u12963), _u12968), hAPP(c_COMBK(tc_fun(_u12963, tc_HOL_Obool), _u12966), _u12965))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Sigma__empty1 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Sigma__empty1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12969, _u12970), c_Orderings_Obot__class_Obot(tc_fun(_u12969, tc_HOL_Obool))), _u12971) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12969, _u12970), tc_HOL_Obool))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_card__cartesian__product ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_card__cartesian__product-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12972, _u12973)), hAPP(hAPP(c_Product__Type_OSigma(_u12972, _u12973), _u12974), hAPP(c_COMBK(tc_fun(_u12973, tc_HOL_Obool), _u12972), _u12975))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12972), _u12974)), hAPP(c_Finite__Set_Ocard(_u12973), _u12975))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_setsum__cartesian__product ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_setsum__cartesian__product-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12976) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12977, _u12976), hAPP(hAPP(c_COMBC(_u12977, tc_fun(_u12978, tc_HOL_Obool), _u12976), hAPP(hAPP(c_COMBB(tc_fun(_u12978, _u12976), tc_fun(tc_fun(_u12978, tc_HOL_Obool), _u12976), _u12977), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12978, _u12976)), _u12979)), _u12980)), _u12981) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u12977, _u12978), _u12976), hAPP(c_Product__Type_Oprod_Oprod__case(_u12977, _u12978, _u12976), _u12979)), hAPP(hAPP(c_Product__Type_OSigma(_u12977, _u12978), _u12981), hAPP(c_COMBK(tc_fun(_u12978, tc_HOL_Obool), _u12977), _u12980)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Sigma__empty2 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Sigma__empty2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12982, _u12983), _u12984), hAPP(c_COMBK(tc_fun(_u12983, tc_HOL_Obool), _u12982), c_Orderings_Obot__class_Obot(tc_fun(_u12983, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12982, _u12983), tc_HOL_Obool))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Times__empty ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Times__empty-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12989, _u12991), _u12993), hAPP(c_COMBK(tc_fun(_u12991, tc_HOL_Obool), _u12989), _u12995)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12989, _u12991), tc_HOL_Obool))) | ( _u12993 = c_Orderings_Obot__class_Obot(tc_fun(_u12989, tc_HOL_Obool))) | ( _u12995 = c_Orderings_Obot__class_Obot(tc_fun(_u12991, tc_HOL_Obool))) )).
% 12.53/12.73 cnf(fact_Times__empty-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12990, _u12992), _u12994), hAPP(c_COMBK(tc_fun(_u12992, tc_HOL_Obool), _u12990), _u12996)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12990, _u12992), tc_HOL_Obool))) | ( _u12994 != c_Orderings_Obot__class_Obot(tc_fun(_u12990, tc_HOL_Obool))) )).
% 12.53/12.73 cnf(fact_Times__empty-3, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12990, _u12992), _u12994), hAPP(c_COMBK(tc_fun(_u12992, tc_HOL_Obool), _u12990), _u12996)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12990, _u12992), tc_HOL_Obool))) | ( _u12996 != c_Orderings_Obot__class_Obot(tc_fun(_u12992, tc_HOL_Obool))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Compl__Times__UNIV2 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Compl__Times__UNIV2-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u12997, _u12998), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12997, _u12998), _u12999), hAPP(c_COMBK(tc_fun(_u12998, tc_HOL_Obool), _u12997), c_Orderings_Otop__class_Otop(tc_fun(_u12998, tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(_u12997, _u12998), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12997, tc_HOL_Obool)), _u12999)), hAPP(c_COMBK(tc_fun(_u12998, tc_HOL_Obool), _u12997), c_Orderings_Otop__class_Otop(tc_fun(_u12998, tc_HOL_Obool))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Compl__Times__UNIV1 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Compl__Times__UNIV1-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u13000, _u13001), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13000, _u13001), c_Orderings_Otop__class_Otop(tc_fun(_u13000, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u13001, tc_HOL_Obool), _u13000), _u13002))) = hAPP(hAPP(c_Product__Type_OSigma(_u13000, _u13001), c_Orderings_Otop__class_Otop(tc_fun(_u13000, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u13001, tc_HOL_Obool), _u13000), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13001, tc_HOL_Obool)), _u13002)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_setprod__cartesian__product ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_setprod__cartesian__product-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13003) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13004, _u13003), hAPP(hAPP(c_COMBC(_u13004, tc_fun(_u13005, tc_HOL_Obool), _u13003), hAPP(hAPP(c_COMBB(tc_fun(_u13005, _u13003), tc_fun(tc_fun(_u13005, tc_HOL_Obool), _u13003), _u13004), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13005, _u13003)), _u13006)), _u13007)), _u13008) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13004, _u13005), _u13003), hAPP(c_Product__Type_Oprod_Oprod__case(_u13004, _u13005, _u13003), _u13006)), hAPP(hAPP(c_Product__Type_OSigma(_u13004, _u13005), _u13008), hAPP(c_COMBK(tc_fun(_u13005, tc_HOL_Obool), _u13004), _u13007)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Sigma__Un__distrib1 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Sigma__Un__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13009, _u13010), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13009, tc_HOL_Obool)), _u13011), _u13012)), _u13013) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13009, _u13010), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13009, _u13010), _u13011), _u13013)), hAPP(hAPP(c_Product__Type_OSigma(_u13009, _u13010), _u13012), _u13013))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Times__Un__distrib1 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Times__Un__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13014, _u13015), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13014, tc_HOL_Obool)), _u13016), _u13017)), hAPP(c_COMBK(tc_fun(_u13015, tc_HOL_Obool), _u13014), _u13018)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13014, _u13015), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13014, _u13015), _u13016), hAPP(c_COMBK(tc_fun(_u13015, tc_HOL_Obool), _u13014), _u13018))), hAPP(hAPP(c_Product__Type_OSigma(_u13014, _u13015), _u13017), hAPP(c_COMBK(tc_fun(_u13015, tc_HOL_Obool), _u13014), _u13018)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Sigma__Un__distrib2 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Sigma__Un__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13019, _u13020), _u13021), hAPP(hAPP(c_COMBS(_u13019, tc_fun(_u13020, tc_HOL_Obool), tc_fun(_u13020, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13020, tc_HOL_Obool), tc_fun(tc_fun(_u13020, tc_HOL_Obool), tc_fun(_u13020, tc_HOL_Obool)), _u13019), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13020, tc_HOL_Obool))), _u13022)), _u13023)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13019, _u13020), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13019, _u13020), _u13021), _u13022)), hAPP(hAPP(c_Product__Type_OSigma(_u13019, _u13020), _u13021), _u13023))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_rel__comp__subset__Sigma ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_rel__comp__subset__Sigma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13024, _u13025), tc_HOL_Obool)), _u13026), hAPP(hAPP(c_Product__Type_OSigma(_u13024, _u13025), _u13027), hAPP(c_COMBK(tc_fun(_u13025, tc_HOL_Obool), _u13024), _u13028)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13025, _u13029), tc_HOL_Obool)), _u13030), hAPP(hAPP(c_Product__Type_OSigma(_u13025, _u13029), _u13028), hAPP(c_COMBK(tc_fun(_u13029, tc_HOL_Obool), _u13025), _u13031)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13024, _u13029), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13024, _u13025, _u13029), _u13026), _u13030)), hAPP(hAPP(c_Product__Type_OSigma(_u13024, _u13029), _u13027), hAPP(c_COMBK(tc_fun(_u13029, tc_HOL_Obool), _u13024), _u13031)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_swap__product ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_swap__product-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u13032, _u13033), tc_prod(_u13033, _u13032), hAPP(c_Product__Type_Oprod_Oprod__case(_u13032, _u13033, tc_prod(_u13033, _u13032)), hAPP(c_COMBC(_u13033, _u13032, tc_prod(_u13033, _u13032)), c_Product__Type_OPair(_u13033, _u13032)))), hAPP(hAPP(c_Product__Type_OSigma(_u13032, _u13033), _u13034), hAPP(c_COMBK(tc_fun(_u13033, tc_HOL_Obool), _u13032), _u13035))) = hAPP(hAPP(c_Product__Type_OSigma(_u13033, _u13032), _u13035), hAPP(c_COMBK(tc_fun(_u13032, tc_HOL_Obool), _u13033), _u13034))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_finite__cartesian__product ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_finite__cartesian__product-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13036), _u13037)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13038), _u13039)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13036, _u13038)), hAPP(hAPP(c_Product__Type_OSigma(_u13036, _u13038), _u13037), hAPP(c_COMBK(tc_fun(_u13038, tc_HOL_Obool), _u13036), _u13039)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_equiv__type ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_equiv__type-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u13040, _u13041, _u13042) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13040, _u13040), tc_HOL_Obool)), _u13042), hAPP(hAPP(c_Product__Type_OSigma(_u13040, _u13040), _u13041), hAPP(c_COMBK(tc_fun(_u13040, tc_HOL_Obool), _u13040), _u13041)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Sigma__Int__distrib2 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Sigma__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13043, _u13044), _u13045), hAPP(hAPP(c_COMBS(_u13043, tc_fun(_u13044, tc_HOL_Obool), tc_fun(_u13044, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13044, tc_HOL_Obool), tc_fun(tc_fun(_u13044, tc_HOL_Obool), tc_fun(_u13044, tc_HOL_Obool)), _u13043), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13044, tc_HOL_Obool))), _u13046)), _u13047)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13043, _u13044), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13043, _u13044), _u13045), _u13046)), hAPP(hAPP(c_Product__Type_OSigma(_u13043, _u13044), _u13045), _u13047))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Times__Int__distrib1 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Times__Int__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13048, _u13049), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13048, tc_HOL_Obool)), _u13050), _u13051)), hAPP(c_COMBK(tc_fun(_u13049, tc_HOL_Obool), _u13048), _u13052)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13048, _u13049), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13048, _u13049), _u13050), hAPP(c_COMBK(tc_fun(_u13049, tc_HOL_Obool), _u13048), _u13052))), hAPP(hAPP(c_Product__Type_OSigma(_u13048, _u13049), _u13051), hAPP(c_COMBK(tc_fun(_u13049, tc_HOL_Obool), _u13048), _u13052)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Sigma__Int__distrib1 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Sigma__Int__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13053, _u13054), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13053, tc_HOL_Obool)), _u13055), _u13056)), _u13057) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13053, _u13054), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13053, _u13054), _u13055), _u13057)), hAPP(hAPP(c_Product__Type_OSigma(_u13053, _u13054), _u13056), _u13057))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Id__on__subset__Times ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Id__on__subset__Times-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13058, _u13058), tc_HOL_Obool)), c_Relation_OId__on(_u13058, _u13059)), hAPP(hAPP(c_Product__Type_OSigma(_u13058, _u13058), _u13059), hAPP(c_COMBK(tc_fun(_u13058, tc_HOL_Obool), _u13058), _u13059)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Sigma__Diff__distrib2 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Sigma__Diff__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13060, _u13061), _u13062), hAPP(hAPP(c_COMBS(_u13060, tc_fun(_u13061, tc_HOL_Obool), tc_fun(_u13061, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13061, tc_HOL_Obool), tc_fun(tc_fun(_u13061, tc_HOL_Obool), tc_fun(_u13061, tc_HOL_Obool)), _u13060), c_Groups_Ominus__class_Ominus(tc_fun(_u13061, tc_HOL_Obool))), _u13063)), _u13064)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13060, _u13061), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13060, _u13061), _u13062), _u13063)), hAPP(hAPP(c_Product__Type_OSigma(_u13060, _u13061), _u13062), _u13064))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Times__Diff__distrib1 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Times__Diff__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13065, _u13066), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13065, tc_HOL_Obool)), _u13067), _u13068)), hAPP(c_COMBK(tc_fun(_u13066, tc_HOL_Obool), _u13065), _u13069)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13065, _u13066), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13065, _u13066), _u13067), hAPP(c_COMBK(tc_fun(_u13066, tc_HOL_Obool), _u13065), _u13069))), hAPP(hAPP(c_Product__Type_OSigma(_u13065, _u13066), _u13068), hAPP(c_COMBK(tc_fun(_u13066, tc_HOL_Obool), _u13065), _u13069)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Sigma__Diff__distrib1 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Sigma__Diff__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13070, _u13071), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13070, tc_HOL_Obool)), _u13072), _u13073)), _u13074) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13070, _u13071), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13070, _u13071), _u13072), _u13074)), hAPP(hAPP(c_Product__Type_OSigma(_u13070, _u13071), _u13073), _u13074))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_UNIV__Times__UNIV ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_UNIV__Times__UNIV-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13075, _u13076), c_Orderings_Otop__class_Otop(tc_fun(_u13075, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u13076, tc_HOL_Obool), _u13075), c_Orderings_Otop__class_Otop(tc_fun(_u13076, tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u13075, _u13076), tc_HOL_Obool))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_mem__Sigma__iff ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_mem__Sigma__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13083, _u13085)), hAPP(hAPP(c_Product__Type_OPair(_u13083, _u13085), _u13087), _u13089)), hAPP(hAPP(c_Product__Type_OSigma(_u13083, _u13085), _u13091), _u13093))) | hBOOL(hAPP(hAPP(c_member(_u13083), _u13087), _u13091)) )).
% 12.53/12.73 cnf(fact_mem__Sigma__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13083, _u13085)), hAPP(hAPP(c_Product__Type_OPair(_u13083, _u13085), _u13087), _u13089)), hAPP(hAPP(c_Product__Type_OSigma(_u13083, _u13085), _u13091), _u13093))) | hBOOL(hAPP(hAPP(c_member(_u13085), _u13089), hAPP(_u13093, _u13087))) )).
% 12.53/12.73 cnf(fact_mem__Sigma__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13084), _u13088), _u13092)) | ~hBOOL(hAPP(hAPP(c_member(_u13086), _u13090), hAPP(_u13094, _u13088))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13084, _u13086)), hAPP(hAPP(c_Product__Type_OPair(_u13084, _u13086), _u13088), _u13090)), hAPP(hAPP(c_Product__Type_OSigma(_u13084, _u13086), _u13092), _u13094))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_SigmaD1 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_SigmaD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13095, _u13096)), hAPP(hAPP(c_Product__Type_OPair(_u13095, _u13096), _u13097), _u13098)), hAPP(hAPP(c_Product__Type_OSigma(_u13095, _u13096), _u13099), _u13100))) | hBOOL(hAPP(hAPP(c_member(_u13095), _u13097), _u13099)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_SigmaD2 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_SigmaD2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13102), _u13104), hAPP(_u13106, _u13103))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13101, _u13102)), hAPP(hAPP(c_Product__Type_OPair(_u13101, _u13102), _u13103), _u13104)), hAPP(hAPP(c_Product__Type_OSigma(_u13101, _u13102), _u13105), _u13106))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_SigmaE2 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_SigmaE2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13107, _u13108)), hAPP(hAPP(c_Product__Type_OPair(_u13107, _u13108), _u13109), _u13110)), hAPP(hAPP(c_Product__Type_OSigma(_u13107, _u13108), _u13111), _u13112))) | hBOOL(hAPP(hAPP(c_member(_u13107), _u13109), _u13111)) )).
% 12.53/12.73 cnf(fact_SigmaE2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13107, _u13108)), hAPP(hAPP(c_Product__Type_OPair(_u13107, _u13108), _u13109), _u13110)), hAPP(hAPP(c_Product__Type_OSigma(_u13107, _u13108), _u13111), _u13112))) | hBOOL(hAPP(hAPP(c_member(_u13108), _u13110), hAPP(_u13112, _u13109))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_card__cartesian__product__singleton ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_card__cartesian__product__singleton-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13113, _u13114)), hAPP(hAPP(c_Product__Type_OSigma(_u13113, _u13114), hAPP(hAPP(c_Set_Oinsert(_u13113), _u13115), c_Orderings_Obot__class_Obot(tc_fun(_u13113, tc_HOL_Obool)))), hAPP(c_COMBK(tc_fun(_u13114, tc_HOL_Obool), _u13113), _u13116))) = hAPP(c_Finite__Set_Ocard(_u13114), _u13116)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Times__subset__cancel2 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Times__subset__cancel2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13117), _u13118), _u13119)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13120, _u13117), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13120, _u13117), _u13121), hAPP(c_COMBK(tc_fun(_u13117, tc_HOL_Obool), _u13120), _u13119))), hAPP(hAPP(c_Product__Type_OSigma(_u13120, _u13117), _u13122), hAPP(c_COMBK(tc_fun(_u13117, tc_HOL_Obool), _u13120), _u13119)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13120, tc_HOL_Obool)), _u13121), _u13122)) )).
% 12.53/12.73 cnf(fact_Times__subset__cancel2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13117), _u13118), _u13119)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13120, tc_HOL_Obool)), _u13121), _u13122)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13120, _u13117), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13120, _u13117), _u13121), hAPP(c_COMBK(tc_fun(_u13117, tc_HOL_Obool), _u13120), _u13119))), hAPP(hAPP(c_Product__Type_OSigma(_u13120, _u13117), _u13122), hAPP(c_COMBK(tc_fun(_u13117, tc_HOL_Obool), _u13120), _u13119)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Image__subset ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Image__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13123, _u13124), tc_HOL_Obool)), _u13125), hAPP(hAPP(c_Product__Type_OSigma(_u13123, _u13124), _u13126), hAPP(c_COMBK(tc_fun(_u13124, tc_HOL_Obool), _u13123), _u13127)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13124, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u13123, _u13124, _u13125), _u13128)), _u13127)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_finite__cartesian__productD1 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_finite__cartesian__productD1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13129, _u13130)), hAPP(hAPP(c_Product__Type_OSigma(_u13129, _u13130), _u13131), hAPP(c_COMBK(tc_fun(_u13130, tc_HOL_Obool), _u13129), _u13132)))) | ( _u13132 = c_Orderings_Obot__class_Obot(tc_fun(_u13130, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13129), _u13131)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_finite__cartesian__productD2 ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_finite__cartesian__productD2-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13133, _u13134)), hAPP(hAPP(c_Product__Type_OSigma(_u13133, _u13134), _u13135), hAPP(c_COMBK(tc_fun(_u13134, tc_HOL_Obool), _u13133), _u13136)))) | ( _u13135 = c_Orderings_Obot__class_Obot(tc_fun(_u13133, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13134), _u13136)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Collect__split ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Collect__split-1, axiom, ( ( hAPP(c_Set_OCollect(tc_prod(_u13137, _u13138)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13137, _u13138, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13137, tc_fun(_u13138, tc_HOL_Obool), tc_fun(_u13138, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13138, tc_HOL_Obool), tc_fun(_u13138, tc_HOL_Obool)), _u13137), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13138)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13137), c_fconj), _u13139))), _u13140))) = hAPP(hAPP(c_Product__Type_OSigma(_u13137, _u13138), hAPP(c_Set_OCollect(_u13137), _u13139)), hAPP(c_COMBK(tc_fun(_u13138, tc_HOL_Obool), _u13137), hAPP(c_Set_OCollect(_u13138), _u13140)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_SetCompr__Sigma__eq ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_SetCompr__Sigma__eq-1, axiom, ( ( hAPP(c_Set_OCollect(tc_prod(_u13141, _u13142)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13141, _u13142, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u13141, tc_fun(_u13142, tc_HOL_Obool), tc_fun(_u13142, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13142, tc_HOL_Obool), tc_fun(_u13142, tc_HOL_Obool)), _u13141), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13142)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13141), c_fconj), _u13143))), _u13144))) = hAPP(hAPP(c_Product__Type_OSigma(_u13141, _u13142), hAPP(c_Set_OCollect(_u13141), _u13143)), hAPP(hAPP(c_COMBB(tc_fun(_u13142, tc_HOL_Obool), tc_fun(_u13142, tc_HOL_Obool), _u13141), c_Set_OCollect(_u13142)), _u13144))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_fst__image__times ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_fst__image__times-1, axiom, ( ( _u13149 != c_Orderings_Obot__class_Obot(tc_fun(_u13151, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13153, _u13151), _u13153, c_Product__Type_Ofst(_u13153, _u13151)), hAPP(hAPP(c_Product__Type_OSigma(_u13153, _u13151), _u13155), hAPP(c_COMBK(tc_fun(_u13151, tc_HOL_Obool), _u13153), _u13149))) = c_Orderings_Obot__class_Obot(tc_fun(_u13153, tc_HOL_Obool))) )).
% 12.53/12.73 cnf(fact_fst__image__times-2, axiom, ( ( _u13150 = c_Orderings_Obot__class_Obot(tc_fun(_u13152, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13154, _u13152), _u13154, c_Product__Type_Ofst(_u13154, _u13152)), hAPP(hAPP(c_Product__Type_OSigma(_u13154, _u13152), _u13156), hAPP(c_COMBK(tc_fun(_u13152, tc_HOL_Obool), _u13154), _u13150))) = _u13156) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_snd__image__times ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_snd__image__times-1, axiom, ( ( _u13161 != c_Orderings_Obot__class_Obot(tc_fun(_u13163, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13163, _u13165), _u13165, c_Product__Type_Osnd(_u13163, _u13165)), hAPP(hAPP(c_Product__Type_OSigma(_u13163, _u13165), _u13161), hAPP(c_COMBK(tc_fun(_u13165, tc_HOL_Obool), _u13163), _u13167))) = c_Orderings_Obot__class_Obot(tc_fun(_u13165, tc_HOL_Obool))) )).
% 12.53/12.73 cnf(fact_snd__image__times-2, axiom, ( ( _u13162 = c_Orderings_Obot__class_Obot(tc_fun(_u13164, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13164, _u13166), _u13166, c_Product__Type_Osnd(_u13164, _u13166)), hAPP(hAPP(c_Product__Type_OSigma(_u13164, _u13166), _u13162), hAPP(c_COMBK(tc_fun(_u13166, tc_HOL_Obool), _u13164), _u13168))) = _u13168) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_insert__times__insert ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_insert__times__insert-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13169, _u13170), hAPP(hAPP(c_Set_Oinsert(_u13169), _u13171), _u13172)), hAPP(c_COMBK(tc_fun(_u13170, tc_HOL_Obool), _u13169), hAPP(hAPP(c_Set_Oinsert(_u13170), _u13173), _u13174))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13169, _u13170)), hAPP(hAPP(c_Product__Type_OPair(_u13169, _u13170), _u13171), _u13173)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13169, _u13170), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13169, _u13170), _u13172), hAPP(c_COMBK(tc_fun(_u13170, tc_HOL_Obool), _u13169), hAPP(hAPP(c_Set_Oinsert(_u13170), _u13173), _u13174)))), hAPP(hAPP(c_Product__Type_OSigma(_u13169, _u13170), hAPP(hAPP(c_Set_Oinsert(_u13169), _u13171), _u13172)), hAPP(c_COMBK(tc_fun(_u13170, tc_HOL_Obool), _u13169), _u13174))))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_finite__equiv__class ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_finite__equiv__class-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13175), _u13176)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13175, _u13175), tc_HOL_Obool)), _u13177), hAPP(hAPP(c_Product__Type_OSigma(_u13175, _u13175), _u13176), hAPP(c_COMBK(tc_fun(_u13175, tc_HOL_Obool), _u13175), _u13176)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u13175, tc_HOL_Obool)), _u13178), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u13175), _u13176), _u13177))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13175), _u13178)) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_UN__Times__distrib ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_UN__Times__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(_u13179, _u13180), tc_fun(tc_prod(_u13181, _u13182), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13179, _u13180), _u13183), hAPP(c_COMBK(tc_fun(_u13180, tc_HOL_Obool), _u13179), _u13184))), hAPP(c_Product__Type_Oprod_Oprod__case(_u13179, _u13180, tc_fun(tc_prod(_u13181, _u13182), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u13179, tc_fun(_u13180, tc_fun(_u13181, tc_fun(_u13182, tc_HOL_Obool))), tc_fun(_u13180, tc_fun(tc_prod(_u13181, _u13182), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13181, tc_fun(_u13182, tc_HOL_Obool)), tc_fun(tc_prod(_u13181, _u13182), tc_HOL_Obool)), tc_fun(tc_fun(_u13180, tc_fun(_u13181, tc_fun(_u13182, tc_HOL_Obool))), tc_fun(_u13180, tc_fun(tc_prod(_u13181, _u13182), tc_HOL_Obool))), _u13179), c_COMBB(tc_fun(_u13181, tc_fun(_u13182, tc_HOL_Obool)), tc_fun(tc_prod(_u13181, _u13182), tc_HOL_Obool), _u13180)), hAPP(hAPP(c_COMBB(tc_fun(_u13181, tc_HOL_Obool), tc_fun(tc_fun(_u13181, tc_fun(_u13182, tc_HOL_Obool)), tc_fun(tc_prod(_u13181, _u13182), tc_HOL_Obool)), _u13179), c_Product__Type_OSigma(_u13181, _u13182)), _u13185))), hAPP(hAPP(c_COMBB(tc_fun(_u13182, tc_HOL_Obool), tc_fun(_u13181, tc_fun(_u13182, tc_HOL_Obool)), _u13180), c_COMBK(tc_fun(_u13182, tc_HOL_Obool), _u13181)), _u13186)))) = hAPP(hAPP(c_Product__Type_OSigma(_u13181, _u13182), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13179, tc_fun(_u13181, tc_HOL_Obool)), _u13183), _u13185)), hAPP(c_COMBK(tc_fun(_u13182, tc_HOL_Obool), _u13181), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13180, tc_fun(_u13182, tc_HOL_Obool)), _u13184), _u13186)))) )).
% 12.53/12.73
% 12.53/12.73 % Formula: fact_Sigma__def ( axiom ) converted to clauses:
% 12.53/12.73 cnf(fact_Sigma__def-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13187, _u13188), _u13189), _u13190) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13187, tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool)), _u13189), hAPP(hAPP(c_COMBS(_u13187, tc_fun(_u13188, tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool)), tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13188, tc_HOL_Obool), tc_fun(tc_fun(_u13188, tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool)), tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool)), _u13187), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13188, tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool))), _u13190)), hAPP(hAPP(c_COMBC(_u13187, tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool), tc_fun(_u13188, tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13188, tc_fun(tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool), tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool), tc_fun(_u13188, tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool))), _u13187), c_COMBC(_u13188, tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool), tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13188, tc_prod(_u13187, _u13188)), tc_fun(_u13188, tc_fun(tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool), tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool))), _u13187), hAPP(c_COMBB(tc_prod(_u13187, _u13188), tc_fun(tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool), tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool)), _u13188), c_Set_Oinsert(tc_prod(_u13187, _u13188)))), c_Product__Type_OPair(_u13187, _u13188)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool)))))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_finite__quotient ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_finite__quotient-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13191), _u13192)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13191, _u13191), tc_HOL_Obool)), _u13193), hAPP(hAPP(c_Product__Type_OSigma(_u13191, _u13191), _u13192), hAPP(c_COMBK(tc_fun(_u13191, tc_HOL_Obool), _u13191), _u13192)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u13191, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u13191), _u13192), _u13193))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_setsum__mult__setsum__if__inj ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_setsum__mult__setsum__if__inj-1, axiom, ( ~class_Rings_Osemiring__0(_u13194) | ~c_Fun_Oinj__on(tc_prod(_u13195, _u13196), _u13194, hAPP(c_Product__Type_Oprod_Oprod__case(_u13195, _u13196, _u13194), hAPP(hAPP(c_COMBC(_u13195, tc_fun(_u13196, _u13194), tc_fun(_u13196, _u13194)), hAPP(hAPP(c_COMBB(tc_fun(_u13194, _u13194), tc_fun(tc_fun(_u13196, _u13194), tc_fun(_u13196, _u13194)), _u13195), c_COMBB(_u13194, _u13194, _u13196)), hAPP(hAPP(c_COMBB(_u13194, tc_fun(_u13194, _u13194), _u13195), c_Groups_Otimes__class_Otimes(_u13194)), _u13197))), _u13198)), hAPP(hAPP(c_Product__Type_OSigma(_u13195, _u13196), _u13199), hAPP(c_COMBK(tc_fun(_u13196, tc_HOL_Obool), _u13195), _u13200))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13194), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13195, _u13194), _u13197), _u13199)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13196, _u13194), _u13198), _u13200)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13194, _u13194), c_Fun_Oid(_u13194)), hAPP(c_Set_OCollect(_u13194), hAPP(hAPP(c_COMBB(tc_fun(_u13195, tc_HOL_Obool), tc_HOL_Obool, _u13194), c_HOL_OEx(_u13195)), hAPP(hAPP(c_COMBB(tc_fun(_u13195, tc_fun(_u13196, tc_HOL_Obool)), tc_fun(_u13195, tc_HOL_Obool), _u13194), hAPP(c_COMBB(tc_fun(_u13196, tc_HOL_Obool), tc_HOL_Obool, _u13195), c_HOL_OEx(_u13196))), hAPP(hAPP(c_COMBC(_u13194, tc_fun(_u13195, tc_fun(_u13196, tc_HOL_Obool)), tc_fun(_u13195, tc_fun(_u13196, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13195, tc_fun(tc_fun(_u13196, tc_HOL_Obool), tc_fun(_u13196, tc_HOL_Obool))), tc_fun(tc_fun(_u13195, tc_fun(_u13196, tc_HOL_Obool)), tc_fun(_u13195, tc_fun(_u13196, tc_HOL_Obool))), _u13194), c_COMBS(_u13195, tc_fun(_u13196, tc_HOL_Obool), tc_fun(_u13196, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13195, tc_fun(_u13196, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u13195, tc_fun(tc_fun(_u13196, tc_HOL_Obool), tc_fun(_u13196, tc_HOL_Obool))), _u13194), hAPP(c_COMBB(tc_fun(_u13196, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13196, tc_HOL_Obool), tc_fun(_u13196, tc_HOL_Obool)), _u13195), c_COMBS(_u13196, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13195, tc_fun(_u13196, tc_HOL_Obool)), tc_fun(_u13195, tc_fun(_u13196, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u13194), hAPP(c_COMBB(tc_fun(_u13196, tc_HOL_Obool), tc_fun(_u13196, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13195), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13196), c_fconj))), hAPP(hAPP(c_COMBC(_u13194, tc_fun(_u13195, tc_fun(_u13196, _u13194)), tc_fun(_u13195, tc_fun(_u13196, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13196, _u13194), tc_fun(_u13196, tc_HOL_Obool)), tc_fun(tc_fun(_u13195, tc_fun(_u13196, _u13194)), tc_fun(_u13195, tc_fun(_u13196, tc_HOL_Obool))), _u13194), c_COMBB(tc_fun(_u13196, _u13194), tc_fun(_u13196, tc_HOL_Obool), _u13195)), hAPP(hAPP(c_COMBB(tc_fun(_u13194, tc_HOL_Obool), tc_fun(tc_fun(_u13196, _u13194), tc_fun(_u13196, tc_HOL_Obool)), _u13194), c_COMBB(_u13194, tc_HOL_Obool, _u13196)), c_fequal))), hAPP(hAPP(c_COMBC(_u13195, tc_fun(_u13196, _u13194), tc_fun(_u13196, _u13194)), hAPP(hAPP(c_COMBB(tc_fun(_u13194, _u13194), tc_fun(tc_fun(_u13196, _u13194), tc_fun(_u13196, _u13194)), _u13195), c_COMBB(_u13194, _u13194, _u13196)), hAPP(hAPP(c_COMBB(_u13194, tc_fun(_u13194, _u13194), _u13195), c_Groups_Otimes__class_Otimes(_u13194)), _u13197))), _u13198)))))), hAPP(hAPP(c_COMBC(_u13195, tc_fun(_u13196, tc_HOL_Obool), tc_fun(_u13196, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13196, tc_HOL_Obool), tc_fun(_u13196, tc_HOL_Obool)), _u13195), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13196)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13195), c_fconj), hAPP(hAPP(c_COMBC(_u13195, tc_fun(_u13195, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13195)), _u13199)))), hAPP(hAPP(c_COMBC(_u13196, tc_fun(_u13196, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13196)), _u13200)))))))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_Ex__inj__on__UNION__Sigma ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_Ex__inj__on__UNION__Sigma-1, axiom, ( c_Fun_Oinj__on(_u13202, tc_prod(_u13203, _u13202), skolem334(_u13205, _u13204, _u13203, _u13202), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13203, tc_fun(_u13202, tc_HOL_Obool)), _u13204), _u13205)) )).
% 12.54/12.73 cnf(fact_Ex__inj__on__UNION__Sigma-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13203, _u13202), tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13202, tc_prod(_u13203, _u13202), skolem334(_u13205, _u13204, _u13203, _u13202)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13203, tc_fun(_u13202, tc_HOL_Obool)), _u13204), _u13205))), hAPP(hAPP(c_Product__Type_OSigma(_u13203, _u13202), _u13204), _u13205))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_fold__image__Sigma ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_fold__image__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13207) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13208), _u13209)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13207, _u13208, c_Groups_Otimes__class_Otimes(_u13207)), hAPP(hAPP(c_COMBS(_u13208, tc_fun(_u13210, tc_HOL_Obool), _u13207), hAPP(hAPP(c_COMBC(_u13208, _u13207, tc_fun(tc_fun(_u13210, tc_HOL_Obool), _u13207)), hAPP(hAPP(c_COMBB(tc_fun(_u13210, _u13207), tc_fun(_u13207, tc_fun(tc_fun(_u13210, tc_HOL_Obool), _u13207)), _u13208), c_Finite__Set_Ofold__image(_u13207, _u13210, c_Groups_Otimes__class_Otimes(_u13207))), _u13212)), c_Groups_Oone__class_Oone(_u13207))), _u13211)), c_Groups_Oone__class_Oone(_u13207)), _u13209) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13207, tc_prod(_u13208, _u13210), c_Groups_Otimes__class_Otimes(_u13207)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13208, _u13210, _u13207), _u13212)), c_Groups_Oone__class_Oone(_u13207)), hAPP(hAPP(c_Product__Type_OSigma(_u13208, _u13210), _u13209), _u13211))) | hBOOL(hAPP(hAPP(c_member(_u13208), skolem335(_u13212, _u13211, _u13210, _u13209, _u13208, _u13207)), _u13209)) )).
% 12.54/12.73 cnf(fact_fold__image__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13207) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13208), _u13209)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13207, _u13208, c_Groups_Otimes__class_Otimes(_u13207)), hAPP(hAPP(c_COMBS(_u13208, tc_fun(_u13210, tc_HOL_Obool), _u13207), hAPP(hAPP(c_COMBC(_u13208, _u13207, tc_fun(tc_fun(_u13210, tc_HOL_Obool), _u13207)), hAPP(hAPP(c_COMBB(tc_fun(_u13210, _u13207), tc_fun(_u13207, tc_fun(tc_fun(_u13210, tc_HOL_Obool), _u13207)), _u13208), c_Finite__Set_Ofold__image(_u13207, _u13210, c_Groups_Otimes__class_Otimes(_u13207))), _u13212)), c_Groups_Oone__class_Oone(_u13207))), _u13211)), c_Groups_Oone__class_Oone(_u13207)), _u13209) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13207, tc_prod(_u13208, _u13210), c_Groups_Otimes__class_Otimes(_u13207)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13208, _u13210, _u13207), _u13212)), c_Groups_Oone__class_Oone(_u13207)), hAPP(hAPP(c_Product__Type_OSigma(_u13208, _u13210), _u13209), _u13211))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13210), hAPP(_u13211, skolem335(_u13212, _u13211, _u13210, _u13209, _u13208, _u13207)))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_image__id ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_image__id-1, axiom, ( ( hAPP(c_Set_Oimage(_u13213, _u13213, c_Fun_Oid(_u13213)), _u13214) = _u13214) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_vimage__id ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_vimage__id-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13215, _u13215, c_Fun_Oid(_u13215)), _u13216) = _u13216) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_inj__on__id ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_inj__on__id-1, axiom, ( c_Fun_Oinj__on(_u13217, _u13217, c_Fun_Oid(_u13217), _u13218) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_apfst__id ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_apfst__id-1, axiom, ( ( c_Product__Type_Oapfst(_u13219, _u13219, _u13220, c_Fun_Oid(_u13219)) = c_Fun_Oid(tc_prod(_u13219, _u13220))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_apsnd__id ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_apsnd__id-1, axiom, ( ( c_Product__Type_Oapsnd(_u13221, _u13221, _u13222, c_Fun_Oid(_u13221)) = c_Fun_Oid(tc_prod(_u13222, _u13221))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_id__apply ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_id__apply-1, axiom, ( ( hAPP(c_Fun_Oid(_u13223), _u13224) = _u13224) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_id__def ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_id__def-1, axiom, ( ( hAPP(c_Fun_Oid(_u13225), _u13226) = _u13226) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_of__int__eq__id ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_of__int__eq__id-1, axiom, ( ( c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_surj__id ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_surj__id-1, axiom, ( ( hAPP(c_Set_Oimage(_u13227, _u13227, c_Fun_Oid(_u13227)), c_Orderings_Otop__class_Otop(tc_fun(_u13227, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u13227, tc_HOL_Obool))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_split__Pair ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_split__Pair-1, axiom, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u13228, _u13229, tc_prod(_u13228, _u13229)), c_Product__Type_OPair(_u13228, _u13229)) = c_Fun_Oid(tc_prod(_u13228, _u13229))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_setsum__reindex__id ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_setsum__reindex__id-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13230) | ~c_Fun_Oinj__on(_u13231, _u13230, _u13232, _u13233) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13231, _u13230), _u13232), _u13233) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13230, _u13230), c_Fun_Oid(_u13230)), hAPP(c_Set_Oimage(_u13231, _u13230, _u13232), _u13233))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_setprod__reindex__id ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_setprod__reindex__id-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13234) | ~c_Fun_Oinj__on(_u13235, _u13234, _u13236, _u13237) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13235, _u13234), _u13236), _u13237) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13234, _u13234), c_Fun_Oid(_u13234)), hAPP(c_Set_Oimage(_u13235, _u13234, _u13236), _u13237))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_setprod__Sigma ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_setprod__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13239) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13240), _u13241)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13240, _u13239), hAPP(hAPP(c_COMBS(_u13240, tc_fun(_u13242, tc_HOL_Obool), _u13239), hAPP(hAPP(c_COMBB(tc_fun(_u13242, _u13239), tc_fun(tc_fun(_u13242, tc_HOL_Obool), _u13239), _u13240), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13242, _u13239)), _u13244)), _u13243)), _u13241) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13240, _u13242), _u13239), hAPP(c_Product__Type_Oprod_Oprod__case(_u13240, _u13242, _u13239), _u13244)), hAPP(hAPP(c_Product__Type_OSigma(_u13240, _u13242), _u13241), _u13243))) | hBOOL(hAPP(hAPP(c_member(_u13240), skolem336(_u13244, _u13243, _u13242, _u13241, _u13240, _u13239)), _u13241)) )).
% 12.54/12.73 cnf(fact_setprod__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13239) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13240), _u13241)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13240, _u13239), hAPP(hAPP(c_COMBS(_u13240, tc_fun(_u13242, tc_HOL_Obool), _u13239), hAPP(hAPP(c_COMBB(tc_fun(_u13242, _u13239), tc_fun(tc_fun(_u13242, tc_HOL_Obool), _u13239), _u13240), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13242, _u13239)), _u13244)), _u13243)), _u13241) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13240, _u13242), _u13239), hAPP(c_Product__Type_Oprod_Oprod__case(_u13240, _u13242, _u13239), _u13244)), hAPP(hAPP(c_Product__Type_OSigma(_u13240, _u13242), _u13241), _u13243))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13242), hAPP(_u13243, skolem336(_u13244, _u13243, _u13242, _u13241, _u13240, _u13239)))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_setsum__Sigma ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_setsum__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13246) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13247), _u13248)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13247, _u13246), hAPP(hAPP(c_COMBS(_u13247, tc_fun(_u13249, tc_HOL_Obool), _u13246), hAPP(hAPP(c_COMBB(tc_fun(_u13249, _u13246), tc_fun(tc_fun(_u13249, tc_HOL_Obool), _u13246), _u13247), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13249, _u13246)), _u13251)), _u13250)), _u13248) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u13247, _u13249), _u13246), hAPP(c_Product__Type_Oprod_Oprod__case(_u13247, _u13249, _u13246), _u13251)), hAPP(hAPP(c_Product__Type_OSigma(_u13247, _u13249), _u13248), _u13250))) | hBOOL(hAPP(hAPP(c_member(_u13247), skolem337(_u13251, _u13250, _u13249, _u13248, _u13247, _u13246)), _u13248)) )).
% 12.54/12.73 cnf(fact_setsum__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13246) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13247), _u13248)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13247, _u13246), hAPP(hAPP(c_COMBS(_u13247, tc_fun(_u13249, tc_HOL_Obool), _u13246), hAPP(hAPP(c_COMBB(tc_fun(_u13249, _u13246), tc_fun(tc_fun(_u13249, tc_HOL_Obool), _u13246), _u13247), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13249, _u13246)), _u13251)), _u13250)), _u13248) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u13247, _u13249), _u13246), hAPP(c_Product__Type_Oprod_Oprod__case(_u13247, _u13249, _u13246), _u13251)), hAPP(hAPP(c_Product__Type_OSigma(_u13247, _u13249), _u13248), _u13250))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13249), hAPP(_u13250, skolem337(_u13251, _u13250, _u13249, _u13248, _u13247, _u13246)))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_card__SigmaI ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_card__SigmaI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13253), _u13254)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13253, _u13255)), hAPP(hAPP(c_Product__Type_OSigma(_u13253, _u13255), _u13254), _u13256)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13253, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u13255, tc_HOL_Obool), tc_Nat_Onat, _u13253), c_Finite__Set_Ocard(_u13255)), _u13256)), _u13254)) | hBOOL(hAPP(hAPP(c_member(_u13253), skolem338(_u13256, _u13255, _u13254, _u13253)), _u13254)) )).
% 12.54/12.73 cnf(fact_card__SigmaI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13253), _u13254)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13253, _u13255)), hAPP(hAPP(c_Product__Type_OSigma(_u13253, _u13255), _u13254), _u13256)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13253, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u13255, tc_HOL_Obool), tc_Nat_Onat, _u13253), c_Finite__Set_Ocard(_u13255)), _u13256)), _u13254)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13255), hAPP(_u13256, skolem338(_u13256, _u13255, _u13254, _u13253)))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_finite__SigmaI ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_finite__SigmaI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13258), _u13259)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13258, _u13260)), hAPP(hAPP(c_Product__Type_OSigma(_u13258, _u13260), _u13259), _u13261))) | hBOOL(hAPP(hAPP(c_member(_u13258), skolem339(_u13261, _u13260, _u13259, _u13258)), _u13259)) )).
% 12.54/12.73 cnf(fact_finite__SigmaI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13258), _u13259)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13258, _u13260)), hAPP(hAPP(c_Product__Type_OSigma(_u13258, _u13260), _u13259), _u13261))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13260), hAPP(_u13261, skolem339(_u13261, _u13260, _u13259, _u13258)))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_SigmaE ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_SigmaE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13264, _u13265)), _u13266), hAPP(hAPP(c_Product__Type_OSigma(_u13264, _u13265), _u13267), _u13268))) | hBOOL(hAPP(hAPP(c_member(_u13264), skolem340(_u13268, _u13267, _u13266, _u13265, _u13264)), _u13267)) )).
% 12.54/12.73 cnf(fact_SigmaE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13264, _u13265)), _u13266), hAPP(hAPP(c_Product__Type_OSigma(_u13264, _u13265), _u13267), _u13268))) | hBOOL(hAPP(hAPP(c_member(_u13265), skolem341(_u13268, _u13267, _u13266, _u13265, _u13264)), hAPP(_u13268, skolem340(_u13268, _u13267, _u13266, _u13265, _u13264)))) )).
% 12.54/12.73 cnf(fact_SigmaE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13264, _u13265)), _u13266), hAPP(hAPP(c_Product__Type_OSigma(_u13264, _u13265), _u13267), _u13268))) | ( _u13266 = hAPP(hAPP(c_Product__Type_OPair(_u13264, _u13265), skolem340(_u13268, _u13267, _u13266, _u13265, _u13264)), skolem341(_u13268, _u13267, _u13266, _u13265, _u13264))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_map__pair__surj ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_map__pair__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u13269, _u13270, _u13271), c_Orderings_Otop__class_Otop(tc_fun(_u13269, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13270, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13272, _u13273, _u13274), c_Orderings_Otop__class_Otop(tc_fun(_u13272, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13273, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13269, _u13272), tc_prod(_u13270, _u13273), c_Product__Type_Omap__pair(_u13269, _u13270, _u13272, _u13273, _u13271, _u13274)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u13269, _u13272), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u13270, _u13273), tc_HOL_Obool))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_map__pair__imageI ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_map__pair__imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13275, _u13276)), hAPP(hAPP(c_Product__Type_OPair(_u13275, _u13276), _u13277), _u13278)), _u13279)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13280, _u13281)), hAPP(hAPP(c_Product__Type_OPair(_u13280, _u13281), hAPP(_u13282, _u13277)), hAPP(_u13283, _u13278))), hAPP(c_Set_Oimage(tc_prod(_u13275, _u13276), tc_prod(_u13280, _u13281), c_Product__Type_Omap__pair(_u13275, _u13280, _u13276, _u13281, _u13282, _u13283)), _u13279))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_fst__map__pair ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_fst__map__pair-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u13284, _u13285), hAPP(c_Product__Type_Omap__pair(_u13286, _u13284, _u13287, _u13285, _u13288, _u13289), _u13290)) = hAPP(_u13288, hAPP(c_Product__Type_Ofst(_u13286, _u13287), _u13290))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_snd__prod__fun ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_snd__prod__fun-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u13291, _u13292), hAPP(c_Product__Type_Omap__pair(_u13293, _u13291, _u13294, _u13292, _u13295, _u13296), _u13297)) = hAPP(_u13296, hAPP(c_Product__Type_Osnd(_u13293, _u13294), _u13297))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_map__pair__simp ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_map__pair__simp-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u13298, _u13299, _u13300, _u13301, _u13302, _u13303), hAPP(hAPP(c_Product__Type_OPair(_u13298, _u13300), _u13304), _u13305)) = hAPP(hAPP(c_Product__Type_OPair(_u13299, _u13301), hAPP(_u13302, _u13304)), hAPP(_u13303, _u13305))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_map__pair__ident ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_map__pair__ident-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u13306, _u13306, _u13307, _u13307, c_COMBI(_u13306), c_COMBI(_u13307)), _u13308) = _u13308) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_map__pair_Oidentity ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_map__pair_Oidentity-1, axiom, ( ( c_Product__Type_Omap__pair(_u13309, _u13309, _u13310, _u13310, c_COMBI(_u13309), c_COMBI(_u13310)) = c_Fun_Oid(tc_prod(_u13309, _u13310))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_apfst__def ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_apfst__def-1, axiom, ( ( c_Product__Type_Oapfst(_u13311, _u13312, _u13313, _u13314) = c_Product__Type_Omap__pair(_u13311, _u13312, _u13313, _u13313, _u13314, c_Fun_Oid(_u13313))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_apsnd__def ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_apsnd__def-1, axiom, ( ( c_Product__Type_Oapsnd(_u13315, _u13316, _u13317, _u13318) = c_Product__Type_Omap__pair(_u13317, _u13317, _u13315, _u13316, c_Fun_Oid(_u13317), _u13318)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_map__pair_Oid ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_map__pair_Oid-1, axiom, ( ( c_Product__Type_Omap__pair(_u13319, _u13319, _u13320, _u13320, c_Fun_Oid(_u13319), c_Fun_Oid(_u13320)) = c_Fun_Oid(tc_prod(_u13319, _u13320))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_map__pair__def ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_map__pair__def-1, axiom, ( ( c_Product__Type_Omap__pair(_u13321, _u13322, _u13323, _u13324, _u13325, _u13326) = hAPP(c_Product__Type_Oprod_Oprod__case(_u13321, _u13323, tc_prod(_u13322, _u13324)), hAPP(hAPP(c_COMBC(_u13321, tc_fun(_u13323, _u13324), tc_fun(_u13323, tc_prod(_u13322, _u13324))), hAPP(hAPP(c_COMBB(tc_fun(_u13324, tc_prod(_u13322, _u13324)), tc_fun(tc_fun(_u13323, _u13324), tc_fun(_u13323, tc_prod(_u13322, _u13324))), _u13321), c_COMBB(_u13324, tc_prod(_u13322, _u13324), _u13323)), hAPP(hAPP(c_COMBB(_u13322, tc_fun(_u13324, tc_prod(_u13322, _u13324)), _u13321), c_Product__Type_OPair(_u13322, _u13324)), _u13325))), _u13326))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_map__pair__surj__on ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_map__pair__surj__on-1, axiom, ( ( hAPP(c_Set_Oimage(_u13327, _u13328, _u13329), _u13330) != _u13331) | ( hAPP(c_Set_Oimage(_u13332, _u13333, _u13334), _u13335) != _u13336) | ( hAPP(c_Set_Oimage(tc_prod(_u13327, _u13332), tc_prod(_u13328, _u13333), c_Product__Type_Omap__pair(_u13327, _u13328, _u13332, _u13333, _u13329, _u13334)), hAPP(hAPP(c_Product__Type_OSigma(_u13327, _u13332), _u13330), hAPP(c_COMBK(tc_fun(_u13332, tc_HOL_Obool), _u13327), _u13335))) = hAPP(hAPP(c_Product__Type_OSigma(_u13328, _u13333), _u13331), hAPP(c_COMBK(tc_fun(_u13333, tc_HOL_Obool), _u13328), _u13336))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_wf__map__pair__image ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_wf__map__pair__image-1, axiom, ( ~c_Wellfounded_Owf(_u13337, _u13338) | ~c_Fun_Oinj__on(_u13337, _u13339, _u13340, c_Orderings_Otop__class_Otop(tc_fun(_u13337, tc_HOL_Obool))) | c_Wellfounded_Owf(_u13339, hAPP(c_Set_Oimage(tc_prod(_u13337, _u13337), tc_prod(_u13339, _u13339), c_Product__Type_Omap__pair(_u13337, _u13339, _u13337, _u13339, _u13340, _u13340)), _u13338)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_map__pair__inj__on ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_map__pair__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u13341, _u13342, _u13343, _u13344) | ~c_Fun_Oinj__on(_u13345, _u13346, _u13347, _u13348) | c_Fun_Oinj__on(tc_prod(_u13341, _u13345), tc_prod(_u13342, _u13346), c_Product__Type_Omap__pair(_u13341, _u13342, _u13345, _u13346, _u13343, _u13347), hAPP(hAPP(c_Product__Type_OSigma(_u13341, _u13345), _u13344), hAPP(c_COMBK(tc_fun(_u13345, tc_HOL_Obool), _u13341), _u13348))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_prod__fun__imageE ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_prod__fun__imageE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13351, _u13352)), _u13353), hAPP(c_Set_Oimage(tc_prod(_u13354, _u13355), tc_prod(_u13351, _u13352), c_Product__Type_Omap__pair(_u13354, _u13351, _u13355, _u13352, _u13356, _u13357)), _u13358))) | ( _u13353 = hAPP(hAPP(c_Product__Type_OPair(_u13351, _u13352), hAPP(_u13356, skolem342(_u13358, _u13357, _u13356, _u13355, _u13354, _u13353, _u13352, _u13351))), hAPP(_u13357, skolem343(_u13358, _u13357, _u13356, _u13355, _u13354, _u13353, _u13352, _u13351)))) )).
% 12.54/12.73 cnf(fact_prod__fun__imageE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13351, _u13352)), _u13353), hAPP(c_Set_Oimage(tc_prod(_u13354, _u13355), tc_prod(_u13351, _u13352), c_Product__Type_Omap__pair(_u13354, _u13351, _u13355, _u13352, _u13356, _u13357)), _u13358))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13354, _u13355)), hAPP(hAPP(c_Product__Type_OPair(_u13354, _u13355), skolem342(_u13358, _u13357, _u13356, _u13355, _u13354, _u13353, _u13352, _u13351)), skolem343(_u13358, _u13357, _u13356, _u13355, _u13354, _u13353, _u13352, _u13351))), _u13358)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_refl__on__def ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_refl__on__def-1, axiom, ( ~c_Relation_Orefl__on(_u13364, _u13366, _u13368) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13364, _u13364), tc_HOL_Obool)), _u13368), hAPP(hAPP(c_Product__Type_OSigma(_u13364, _u13364), _u13366), hAPP(c_COMBK(tc_fun(_u13364, tc_HOL_Obool), _u13364), _u13366)))) )).
% 12.54/12.73 cnf(fact_refl__on__def-2, axiom, ( ~c_Relation_Orefl__on(_u13364, _u13366, _u13368) | ~hBOOL(hAPP(hAPP(c_member(_u13364), _u13359), _u13366)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13364, _u13364)), hAPP(hAPP(c_Product__Type_OPair(_u13364, _u13364), _u13359), _u13359)), _u13368)) )).
% 12.54/12.73 cnf(fact_refl__on__def-3, axiom, ( c_Relation_Orefl__on(_u13365, _u13367, _u13369) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13365, _u13365), tc_HOL_Obool)), _u13369), hAPP(hAPP(c_Product__Type_OSigma(_u13365, _u13365), _u13367), hAPP(c_COMBK(tc_fun(_u13365, tc_HOL_Obool), _u13365), _u13367)))) | hBOOL(hAPP(hAPP(c_member(_u13365), skolem344(_u13369, _u13367, _u13365)), _u13367)) )).
% 12.54/12.73 cnf(fact_refl__on__def-4, axiom, ( c_Relation_Orefl__on(_u13365, _u13367, _u13369) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13365, _u13365), tc_HOL_Obool)), _u13369), hAPP(hAPP(c_Product__Type_OSigma(_u13365, _u13365), _u13367), hAPP(c_COMBK(tc_fun(_u13365, tc_HOL_Obool), _u13365), _u13367)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13365, _u13365)), hAPP(hAPP(c_Product__Type_OPair(_u13365, _u13365), skolem344(_u13369, _u13367, _u13365)), skolem344(_u13369, _u13367, _u13365))), _u13369)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_inj__on__INTER ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_inj__on__INTER-1, axiom, ( ( _u13371 = c_Orderings_Obot__class_Obot(tc_fun(_u13372, tc_HOL_Obool))) | c_Fun_Oinj__on(_u13373, _u13374, _u13375, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u13372, tc_fun(_u13373, tc_HOL_Obool)), _u13371), _u13376)) | hBOOL(hAPP(hAPP(c_member(_u13372), skolem345(_u13376, _u13375, _u13374, _u13373, _u13372, _u13371)), _u13371)) )).
% 12.54/12.73 cnf(fact_inj__on__INTER-2, axiom, ( ( _u13371 = c_Orderings_Obot__class_Obot(tc_fun(_u13372, tc_HOL_Obool))) | c_Fun_Oinj__on(_u13373, _u13374, _u13375, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u13372, tc_fun(_u13373, tc_HOL_Obool)), _u13371), _u13376)) | ~c_Fun_Oinj__on(_u13373, _u13374, _u13375, hAPP(_u13376, skolem345(_u13376, _u13375, _u13374, _u13373, _u13372, _u13371))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_refl__on__Id__on ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_refl__on__Id__on-1, axiom, ( c_Relation_Orefl__on(_u13377, _u13378, c_Relation_OId__on(_u13377, _u13378)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_refl__on__empty ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_refl__on__empty-1, axiom, ( c_Relation_Orefl__on(_u13379, c_Orderings_Obot__class_Obot(tc_fun(_u13379, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13379, _u13379), tc_HOL_Obool))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_refl__on__Un ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_refl__on__Un-1, axiom, ( ~c_Relation_Orefl__on(_u13380, _u13381, _u13382) | ~c_Relation_Orefl__on(_u13380, _u13383, _u13384) | c_Relation_Orefl__on(_u13380, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13380, tc_HOL_Obool)), _u13381), _u13383), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13380, _u13380), tc_HOL_Obool)), _u13382), _u13384)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_refl__on__Int ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_refl__on__Int-1, axiom, ( ~c_Relation_Orefl__on(_u13385, _u13386, _u13387) | ~c_Relation_Orefl__on(_u13385, _u13388, _u13389) | c_Relation_Orefl__on(_u13385, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13385, tc_HOL_Obool)), _u13386), _u13388), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13385, _u13385), tc_HOL_Obool)), _u13387), _u13389)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_refl__onD2 ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_refl__onD2-1, axiom, ( ~c_Relation_Orefl__on(_u13390, _u13391, _u13392) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13390, _u13390)), hAPP(hAPP(c_Product__Type_OPair(_u13390, _u13390), _u13393), _u13394)), _u13392)) | hBOOL(hAPP(hAPP(c_member(_u13390), _u13394), _u13391)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_refl__onD1 ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_refl__onD1-1, axiom, ( ~c_Relation_Orefl__on(_u13395, _u13396, _u13397) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13395, _u13395)), hAPP(hAPP(c_Product__Type_OPair(_u13395, _u13395), _u13398), _u13399)), _u13397)) | hBOOL(hAPP(hAPP(c_member(_u13395), _u13398), _u13396)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_refl__onD ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_refl__onD-1, axiom, ( ~c_Relation_Orefl__on(_u13400, _u13401, _u13402) | ~hBOOL(hAPP(hAPP(c_member(_u13400), _u13403), _u13401)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13400, _u13400)), hAPP(hAPP(c_Product__Type_OPair(_u13400, _u13400), _u13403), _u13403)), _u13402)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_reflp__def ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_reflp__def-1, axiom, ( ~c_Predicate_Oreflp(_u13406, _u13408) | c_Relation_Orefl__on(_u13406, c_Orderings_Otop__class_Otop(tc_fun(_u13406, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u13406, _u13406)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13406, _u13406, tc_HOL_Obool), _u13408))) )).
% 12.54/12.73 cnf(fact_reflp__def-2, axiom, ( ~c_Relation_Orefl__on(_u13407, c_Orderings_Otop__class_Otop(tc_fun(_u13407, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u13407, _u13407)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13407, _u13407, tc_HOL_Obool), _u13409))) | c_Predicate_Oreflp(_u13407, _u13409) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_refl__onI ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_refl__onI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13411, _u13411), tc_HOL_Obool)), _u13412), hAPP(hAPP(c_Product__Type_OSigma(_u13411, _u13411), _u13413), hAPP(c_COMBK(tc_fun(_u13411, tc_HOL_Obool), _u13411), _u13413)))) | c_Relation_Orefl__on(_u13411, _u13413, _u13412) | hBOOL(hAPP(hAPP(c_member(_u13411), skolem346(_u13413, _u13412, _u13411)), _u13413)) )).
% 12.54/12.73 cnf(fact_refl__onI-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13411, _u13411), tc_HOL_Obool)), _u13412), hAPP(hAPP(c_Product__Type_OSigma(_u13411, _u13411), _u13413), hAPP(c_COMBK(tc_fun(_u13411, tc_HOL_Obool), _u13411), _u13413)))) | c_Relation_Orefl__on(_u13411, _u13413, _u13412) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13411, _u13411)), hAPP(hAPP(c_Product__Type_OPair(_u13411, _u13411), skolem346(_u13413, _u13412, _u13411)), skolem346(_u13413, _u13412, _u13411))), _u13412)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_pigeonhole__infinite ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_pigeonhole__infinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u13415), _u13416)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13417), hAPP(c_Set_Oimage(_u13415, _u13417, _u13418), _u13416))) | hBOOL(hAPP(hAPP(c_member(_u13415), skolem347(_u13418, _u13417, _u13416, _u13415)), _u13416)) )).
% 12.54/12.73 cnf(fact_pigeonhole__infinite-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u13415), _u13416)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13417), hAPP(c_Set_Oimage(_u13415, _u13417, _u13418), _u13416))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13415), hAPP(c_Set_OCollect(_u13415), hAPP(hAPP(c_COMBS(_u13415, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13415), c_fconj), hAPP(hAPP(c_COMBC(_u13415, tc_fun(_u13415, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13415)), _u13416))), hAPP(hAPP(c_COMBC(_u13415, _u13417, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u13417, tc_fun(_u13417, tc_HOL_Obool), _u13415), c_fequal), _u13418)), hAPP(_u13418, skolem347(_u13418, _u13417, _u13416, _u13415))))))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_reflpE ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_reflpE-1, axiom, ( hBOOL(hAPP(hAPP(_u13420, _u13421), _u13421)) | ~c_Predicate_Oreflp(_u13419, _u13420) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_refl__on__def_H ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_refl__on__def_H-1, axiom, ( ~c_Relation_Orefl__on(_u13429, _u13431, _u13433) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13429, _u13429)), _u13422), _u13433)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13429, _u13429, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13429, tc_fun(_u13429, tc_HOL_Obool), tc_fun(_u13429, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13429, tc_HOL_Obool), tc_fun(_u13429, tc_HOL_Obool)), _u13429), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13429)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13429), c_fconj), hAPP(hAPP(c_COMBC(_u13429, tc_fun(_u13429, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13429)), _u13431)))), hAPP(hAPP(c_COMBC(_u13429, tc_fun(_u13429, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13429)), _u13431))), _u13422)) )).
% 12.54/12.73 cnf(fact_refl__on__def_H-2, axiom, ( ~c_Relation_Orefl__on(_u13429, _u13431, _u13433) | ~hBOOL(hAPP(hAPP(c_member(_u13429), _u13423), _u13431)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13429, _u13429)), hAPP(hAPP(c_Product__Type_OPair(_u13429, _u13429), _u13423), _u13423)), _u13433)) )).
% 12.54/12.73 cnf(fact_refl__on__def_H-3, axiom, ( c_Relation_Orefl__on(_u13430, _u13432, _u13434) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13430, _u13430)), skolem348(_u13434, _u13432, _u13430)), _u13434)) | hBOOL(hAPP(hAPP(c_member(_u13430), skolem349(_u13434, _u13432, _u13430)), _u13432)) )).
% 12.54/12.73 cnf(fact_refl__on__def_H-4, axiom, ( c_Relation_Orefl__on(_u13430, _u13432, _u13434) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13430, _u13430)), skolem348(_u13434, _u13432, _u13430)), _u13434)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13430, _u13430)), hAPP(hAPP(c_Product__Type_OPair(_u13430, _u13430), skolem349(_u13434, _u13432, _u13430)), skolem349(_u13434, _u13432, _u13430))), _u13434)) )).
% 12.54/12.73 cnf(fact_refl__on__def_H-5, axiom, ( c_Relation_Orefl__on(_u13430, _u13432, _u13434) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13430, _u13430, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13430, tc_fun(_u13430, tc_HOL_Obool), tc_fun(_u13430, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13430, tc_HOL_Obool), tc_fun(_u13430, tc_HOL_Obool)), _u13430), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13430)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13430), c_fconj), hAPP(hAPP(c_COMBC(_u13430, tc_fun(_u13430, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13430)), _u13432)))), hAPP(hAPP(c_COMBC(_u13430, tc_fun(_u13430, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13430)), _u13432))), skolem348(_u13434, _u13432, _u13430))) | hBOOL(hAPP(hAPP(c_member(_u13430), skolem349(_u13434, _u13432, _u13430)), _u13432)) )).
% 12.54/12.73 cnf(fact_refl__on__def_H-6, axiom, ( c_Relation_Orefl__on(_u13430, _u13432, _u13434) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13430, _u13430, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13430, tc_fun(_u13430, tc_HOL_Obool), tc_fun(_u13430, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13430, tc_HOL_Obool), tc_fun(_u13430, tc_HOL_Obool)), _u13430), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13430)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13430), c_fconj), hAPP(hAPP(c_COMBC(_u13430, tc_fun(_u13430, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13430)), _u13432)))), hAPP(hAPP(c_COMBC(_u13430, tc_fun(_u13430, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13430)), _u13432))), skolem348(_u13434, _u13432, _u13430))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13430, _u13430)), hAPP(hAPP(c_Product__Type_OPair(_u13430, _u13430), skolem349(_u13434, _u13432, _u13430)), skolem349(_u13434, _u13432, _u13430))), _u13434)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_Abs__Integ__induct ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_Abs__Integ__induct-1, axiom, ( hBOOL(hAPP(_u13436, _u13437)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem350(_u13437, _u13436)), c_Int_OInteg)) )).
% 12.54/12.73 cnf(fact_Abs__Integ__induct-2, axiom, ( hBOOL(hAPP(_u13436, _u13437)) | ~hBOOL(hAPP(_u13436, hAPP(c_Int_OAbs__Integ, skolem350(_u13437, _u13436)))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_Abs__Integ__cases ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_Abs__Integ__cases-1, axiom, ( ( _u13439 = hAPP(c_Int_OAbs__Integ, skolem351(_u13439))) )).
% 12.54/12.73 cnf(fact_Abs__Integ__cases-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem351(_u13439)), c_Int_OInteg)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_INFI__bool__eq ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_INFI__bool__eq-1, axiom, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u13440, tc_HOL_Obool) = c_Set_OBall(_u13440)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_ball__empty ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_ball__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13442), _u13441), c_Orderings_Obot__class_Obot(tc_fun(_u13442, tc_HOL_Obool)))) | hBOOL(hAPP(_u13443, _u13441)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_Powp__def ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_Powp__def-1, axiom, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u13449, _u13451), _u13453)) | ~hBOOL(hAPP(hAPP(c_member(_u13449), _u13444), _u13453)) | hBOOL(hAPP(_u13451, _u13444)) )).
% 12.54/12.73 cnf(fact_Powp__def-2, axiom, ( hBOOL(hAPP(c_Predicate_OPowp(_u13450, _u13452), _u13454)) | hBOOL(hAPP(hAPP(c_member(_u13450), skolem352(_u13454, _u13452, _u13450)), _u13454)) )).
% 12.54/12.73 cnf(fact_Powp__def-3, axiom, ( hBOOL(hAPP(c_Predicate_OPowp(_u13450, _u13452), _u13454)) | ~hBOOL(hAPP(_u13452, skolem352(_u13454, _u13452, _u13450))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_Collect__ball__eq ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_Collect__ball__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u13455), hAPP(hAPP(c_COMBB(tc_fun(_u13456, tc_HOL_Obool), tc_HOL_Obool, _u13455), c_HOL_OAll(_u13456)), hAPP(hAPP(c_COMBB(tc_fun(_u13456, tc_HOL_Obool), tc_fun(_u13456, tc_HOL_Obool), _u13455), hAPP(c_COMBS(_u13456, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13456), c_fimplies), hAPP(hAPP(c_COMBC(_u13456, tc_fun(_u13456, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13456)), _u13457)))), _u13458))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u13456, tc_fun(_u13455, tc_HOL_Obool)), _u13457), hAPP(hAPP(c_COMBB(tc_fun(_u13455, tc_HOL_Obool), tc_fun(_u13455, tc_HOL_Obool), _u13456), c_Set_OCollect(_u13455)), hAPP(c_COMBC(_u13455, _u13456, tc_HOL_Obool), _u13458)))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_congruent__def ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_congruent__def-1, axiom, ( ~c_Equiv__Relations_Ocongruent(_u13465, _u13467, _u13469, _u13471) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13465, _u13465)), _u13459), _u13469)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13465, _u13465, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13465, tc_fun(_u13465, _u13467), tc_fun(_u13465, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13467, tc_HOL_Obool), tc_fun(tc_fun(_u13465, _u13467), tc_fun(_u13465, tc_HOL_Obool)), _u13465), c_COMBB(_u13467, tc_HOL_Obool, _u13465)), hAPP(hAPP(c_COMBB(_u13467, tc_fun(_u13467, tc_HOL_Obool), _u13465), c_fequal), _u13471))), _u13471)), _u13459)) )).
% 12.54/12.73 cnf(fact_congruent__def-2, axiom, ( c_Equiv__Relations_Ocongruent(_u13466, _u13468, _u13470, _u13472) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13466, _u13466)), skolem353(_u13472, _u13470, _u13468, _u13466)), _u13470)) )).
% 12.54/12.73 cnf(fact_congruent__def-3, axiom, ( c_Equiv__Relations_Ocongruent(_u13466, _u13468, _u13470, _u13472) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13466, _u13466, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13466, tc_fun(_u13466, _u13468), tc_fun(_u13466, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13468, tc_HOL_Obool), tc_fun(tc_fun(_u13466, _u13468), tc_fun(_u13466, tc_HOL_Obool)), _u13466), c_COMBB(_u13468, tc_HOL_Obool, _u13466)), hAPP(hAPP(c_COMBB(_u13468, tc_fun(_u13468, tc_HOL_Obool), _u13466), c_fequal), _u13472))), _u13472)), skolem353(_u13472, _u13470, _u13468, _u13466))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_INTER__def ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_INTER__def-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u13473, tc_fun(_u13474, tc_HOL_Obool)), _u13475), _u13476) = hAPP(c_Set_OCollect(_u13474), hAPP(hAPP(c_COMBB(tc_fun(_u13473, tc_HOL_Obool), tc_HOL_Obool, _u13474), c_HOL_OAll(_u13473)), hAPP(hAPP(c_COMBB(tc_fun(_u13473, tc_HOL_Obool), tc_fun(_u13473, tc_HOL_Obool), _u13474), hAPP(c_COMBS(_u13473, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13473), c_fimplies), hAPP(hAPP(c_COMBC(_u13473, tc_fun(_u13473, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13473)), _u13475)))), hAPP(hAPP(c_COMBC(_u13474, tc_fun(_u13473, tc_fun(_u13474, tc_HOL_Obool)), tc_fun(_u13473, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13474, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u13473, tc_fun(_u13474, tc_HOL_Obool)), tc_fun(_u13473, tc_HOL_Obool)), _u13474), c_COMBB(tc_fun(_u13474, tc_HOL_Obool), tc_HOL_Obool, _u13473)), c_member(_u13474))), _u13476))))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_Inf__Sup ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_Inf__Sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u13477) | ( c_Complete__Lattice_OInf__class_OInf(_u13477, _u13478) = c_Complete__Lattice_OSup__class_OSup(_u13477, hAPP(c_Set_OCollect(_u13477), hAPP(hAPP(c_COMBB(tc_fun(_u13477, tc_HOL_Obool), tc_HOL_Obool, _u13477), c_HOL_OAll(_u13477)), hAPP(hAPP(c_COMBB(tc_fun(_u13477, tc_HOL_Obool), tc_fun(_u13477, tc_HOL_Obool), _u13477), hAPP(c_COMBS(_u13477, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13477), c_fimplies), hAPP(hAPP(c_COMBC(_u13477, tc_fun(_u13477, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13477)), _u13478)))), c_Orderings_Oord__class_Oless__eq(_u13477)))))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_Sup__Inf ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_Sup__Inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u13479) | ( c_Complete__Lattice_OSup__class_OSup(_u13479, _u13480) = c_Complete__Lattice_OInf__class_OInf(_u13479, hAPP(c_Set_OCollect(_u13479), hAPP(hAPP(c_COMBB(tc_fun(_u13479, tc_HOL_Obool), tc_HOL_Obool, _u13479), c_HOL_OAll(_u13479)), hAPP(hAPP(c_COMBB(tc_fun(_u13479, tc_HOL_Obool), tc_fun(_u13479, tc_HOL_Obool), _u13479), hAPP(c_COMBS(_u13479, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13479), c_fimplies), hAPP(hAPP(c_COMBC(_u13479, tc_fun(_u13479, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13479)), _u13480)))), hAPP(c_COMBC(_u13479, _u13479, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u13479))))))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_finite__UN__I ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_finite__UN__I-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13482), _u13483)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13484), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13482, tc_fun(_u13484, tc_HOL_Obool)), _u13483), _u13485))) | hBOOL(hAPP(hAPP(c_member(_u13482), skolem354(_u13485, _u13484, _u13483, _u13482)), _u13483)) )).
% 12.54/12.73 cnf(fact_finite__UN__I-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13482), _u13483)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13484), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13482, tc_fun(_u13484, tc_HOL_Obool)), _u13483), _u13485))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13484), hAPP(_u13485, skolem354(_u13485, _u13484, _u13483, _u13482)))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_inj__on__diff__nat ( axiom ) converted to clauses:
% 12.54/12.73 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)), _u13488), _u13487) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem355(_u13488, _u13487)), _u13487)) )).
% 12.54/12.73 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)), _u13488), _u13487) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u13488), skolem355(_u13488, _u13487))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_wfP__SUP ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_wfP__SUP-1, axiom, ( ~c_Wellfounded_OwfP(_u13492, hAPP(_u13493, skolem356(_u13494, _u13493, _u13492))) | c_Wellfounded_OwfP(_u13492, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13494, tc_fun(_u13492, tc_fun(_u13492, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u13494, tc_HOL_Obool))), _u13493)) | ( hAPP(_u13493, skolem357(_u13494, _u13493, _u13492)) != hAPP(_u13493, skolem358(_u13494, _u13493, _u13492))) )).
% 12.54/12.73 cnf(fact_wfP__SUP-2, axiom, ( ~c_Wellfounded_OwfP(_u13492, hAPP(_u13493, skolem356(_u13494, _u13493, _u13492))) | c_Wellfounded_OwfP(_u13492, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13494, tc_fun(_u13492, tc_fun(_u13492, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u13494, tc_HOL_Obool))), _u13493)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13492, tc_HOL_Obool)), c_Predicate_ODomainP(_u13492, _u13492, hAPP(_u13493, skolem357(_u13494, _u13493, _u13492)))), c_Predicate_ORangeP(_u13492, _u13492, hAPP(_u13493, skolem358(_u13494, _u13493, _u13492)))) != c_Orderings_Obot__class_Obot(tc_fun(_u13492, tc_HOL_Obool))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_Inter__eq ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_Inter__eq-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u13495, tc_HOL_Obool), _u13496) = hAPP(c_Set_OCollect(_u13495), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13495, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u13495), c_HOL_OAll(tc_fun(_u13495, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13495, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u13495, tc_HOL_Obool), tc_HOL_Obool), _u13495), hAPP(c_COMBS(tc_fun(_u13495, 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(_u13495, tc_HOL_Obool)), c_fimplies), hAPP(hAPP(c_COMBC(tc_fun(_u13495, tc_HOL_Obool), tc_fun(tc_fun(_u13495, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u13495, tc_HOL_Obool))), _u13496)))), c_member(_u13495))))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_mem__splitI2 ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_mem__splitI2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13502), _u13503), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13500, _u13501, tc_fun(_u13502, tc_HOL_Obool)), _u13504), _u13499))) | ( _u13499 = hAPP(hAPP(c_Product__Type_OPair(_u13500, _u13501), skolem359(_u13504, _u13503, _u13502, _u13501, _u13500, _u13499)), skolem360(_u13504, _u13503, _u13502, _u13501, _u13500, _u13499))) )).
% 12.54/12.73 cnf(fact_mem__splitI2-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13502), _u13503), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13500, _u13501, tc_fun(_u13502, tc_HOL_Obool)), _u13504), _u13499))) | ~hBOOL(hAPP(hAPP(c_member(_u13502), _u13503), hAPP(hAPP(_u13504, skolem359(_u13504, _u13503, _u13502, _u13501, _u13500, _u13499)), skolem360(_u13504, _u13503, _u13502, _u13501, _u13500, _u13499)))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_mem__splitE ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_mem__splitE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13507), _u13508), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13509, _u13510, tc_fun(_u13507, tc_HOL_Obool)), _u13511), _u13512))) | ( _u13512 = hAPP(hAPP(c_Product__Type_OPair(_u13509, _u13510), skolem361(_u13512, _u13511, _u13510, _u13509, _u13508, _u13507)), skolem362(_u13512, _u13511, _u13510, _u13509, _u13508, _u13507))) )).
% 12.54/12.73 cnf(fact_mem__splitE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13507), _u13508), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13509, _u13510, tc_fun(_u13507, tc_HOL_Obool)), _u13511), _u13512))) | hBOOL(hAPP(hAPP(c_member(_u13507), _u13508), hAPP(hAPP(_u13511, skolem361(_u13512, _u13511, _u13510, _u13509, _u13508, _u13507)), skolem362(_u13512, _u13511, _u13510, _u13509, _u13508, _u13507)))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_vimage__Times ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_vimage__Times-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13513, tc_prod(_u13514, _u13515), _u13516), hAPP(hAPP(c_Product__Type_OSigma(_u13514, _u13515), _u13517), hAPP(c_COMBK(tc_fun(_u13515, tc_HOL_Obool), _u13514), _u13518))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13513, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13513, _u13514, hAPP(c_Fun_Ocomp(tc_prod(_u13514, _u13515), _u13514, _u13513, c_Product__Type_Ofst(_u13514, _u13515)), _u13516)), _u13517)), hAPP(c_Set_Ovimage(_u13513, _u13515, hAPP(c_Fun_Ocomp(tc_prod(_u13514, _u13515), _u13515, _u13513, c_Product__Type_Osnd(_u13514, _u13515)), _u13516)), _u13518))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_map__pair_Ocomp ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_map__pair_Ocomp-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13519, _u13520), tc_prod(_u13521, _u13522), tc_prod(_u13523, _u13524), c_Product__Type_Omap__pair(_u13519, _u13521, _u13520, _u13522, _u13525, _u13526)), c_Product__Type_Omap__pair(_u13523, _u13519, _u13524, _u13520, _u13527, _u13528)) = c_Product__Type_Omap__pair(_u13523, _u13521, _u13524, _u13522, hAPP(c_Fun_Ocomp(_u13519, _u13521, _u13523, _u13525), _u13527), hAPP(c_Fun_Ocomp(_u13520, _u13522, _u13524, _u13526), _u13528))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_map__pair__compose ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_map__pair__compose-1, axiom, ( ( c_Product__Type_Omap__pair(_u13529, _u13530, _u13531, _u13532, hAPP(c_Fun_Ocomp(_u13533, _u13530, _u13529, _u13534), _u13535), hAPP(c_Fun_Ocomp(_u13536, _u13532, _u13531, _u13537), _u13538)) = hAPP(c_Fun_Ocomp(tc_prod(_u13533, _u13536), tc_prod(_u13530, _u13532), tc_prod(_u13529, _u13531), c_Product__Type_Omap__pair(_u13533, _u13530, _u13536, _u13532, _u13534, _u13537)), c_Product__Type_Omap__pair(_u13529, _u13533, _u13531, _u13536, _u13535, _u13538))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_map__pair_Ocompositionality ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_map__pair_Ocompositionality-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u13539, _u13540, _u13541, _u13542, _u13543, _u13544), hAPP(c_Product__Type_Omap__pair(_u13545, _u13539, _u13546, _u13541, _u13547, _u13548), _u13549)) = hAPP(c_Product__Type_Omap__pair(_u13545, _u13540, _u13546, _u13542, hAPP(c_Fun_Ocomp(_u13539, _u13540, _u13545, _u13543), _u13547), hAPP(c_Fun_Ocomp(_u13541, _u13542, _u13546, _u13544), _u13548)), _u13549)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_comp__surj ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_comp__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u13550, _u13551, _u13552), c_Orderings_Otop__class_Otop(tc_fun(_u13550, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13551, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13551, _u13553, _u13554), c_Orderings_Otop__class_Otop(tc_fun(_u13551, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13553, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13550, _u13553, hAPP(c_Fun_Ocomp(_u13551, _u13553, _u13550, _u13554), _u13552)), c_Orderings_Otop__class_Otop(tc_fun(_u13550, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u13553, tc_HOL_Obool))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_image__compose ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_image__compose-1, axiom, ( ( hAPP(c_Set_Oimage(_u13555, _u13556, hAPP(c_Fun_Ocomp(_u13557, _u13556, _u13555, _u13558), _u13559)), _u13560) = hAPP(c_Set_Oimage(_u13557, _u13556, _u13558), hAPP(c_Set_Oimage(_u13555, _u13557, _u13559), _u13560))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_comp__inj__on__iff ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_comp__inj__on__iff-1, axiom, ( ~c_Fun_Oinj__on(_u13561, _u13562, _u13563, _u13564) | ~c_Fun_Oinj__on(_u13562, _u13565, _u13566, hAPP(c_Set_Oimage(_u13561, _u13562, _u13563), _u13564)) | c_Fun_Oinj__on(_u13561, _u13565, hAPP(c_Fun_Ocomp(_u13562, _u13565, _u13561, _u13566), _u13563), _u13564) )).
% 12.54/12.73 cnf(fact_comp__inj__on__iff-2, axiom, ( ~c_Fun_Oinj__on(_u13561, _u13562, _u13563, _u13564) | ~c_Fun_Oinj__on(_u13561, _u13565, hAPP(c_Fun_Ocomp(_u13562, _u13565, _u13561, _u13566), _u13563), _u13564) | c_Fun_Oinj__on(_u13562, _u13565, _u13566, hAPP(c_Set_Oimage(_u13561, _u13562, _u13563), _u13564)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_comp__inj__on ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_comp__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u13567, _u13568, _u13569, _u13570) | ~c_Fun_Oinj__on(_u13568, _u13571, _u13572, hAPP(c_Set_Oimage(_u13567, _u13568, _u13569), _u13570)) | c_Fun_Oinj__on(_u13567, _u13571, hAPP(c_Fun_Ocomp(_u13568, _u13571, _u13567, _u13572), _u13569), _u13570) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_inj__on__imageI ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_inj__on__imageI-1, axiom, ( ~c_Fun_Oinj__on(_u13573, _u13574, hAPP(c_Fun_Ocomp(_u13575, _u13574, _u13573, _u13576), _u13577), _u13578) | c_Fun_Oinj__on(_u13575, _u13574, _u13576, hAPP(c_Set_Oimage(_u13573, _u13575, _u13577), _u13578)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_inj__on__imageI2 ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_inj__on__imageI2-1, axiom, ( ~c_Fun_Oinj__on(_u13579, _u13580, hAPP(c_Fun_Ocomp(_u13581, _u13580, _u13579, _u13582), _u13583), _u13584) | c_Fun_Oinj__on(_u13579, _u13581, _u13583, _u13584) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_inj__comp ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_inj__comp-1, axiom, ( ~c_Fun_Oinj__on(_u13585, _u13586, _u13587, c_Orderings_Otop__class_Otop(tc_fun(_u13585, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u13588, _u13585, _u13589, c_Orderings_Otop__class_Otop(tc_fun(_u13588, tc_HOL_Obool))) | c_Fun_Oinj__on(_u13588, _u13586, hAPP(c_Fun_Ocomp(_u13585, _u13586, _u13588, _u13587), _u13589), c_Orderings_Otop__class_Otop(tc_fun(_u13588, tc_HOL_Obool))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_o__def ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_o__def-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u13590, _u13591, _u13592, _u13593), _u13594), _u13595) = hAPP(_u13593, hAPP(_u13594, _u13595))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_K__record__comp ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_K__record__comp-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u13596, _u13597, _u13598, hAPP(c_COMBK(_u13597, _u13596), _u13599)), _u13600), _u13601) = _u13599) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_fun__left__comm__idem_Ofun__comp__idem ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_fun__left__comm__idem_Ofun__comp__idem-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13603, _u13603, _u13603, hAPP(_u13604, _u13605)), hAPP(_u13604, _u13605)) = hAPP(_u13604, _u13605)) | ~c_Finite__Set_Ofun__left__comm__idem(_u13602, _u13603, _u13604) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_fun__left__comm_Ofun__comp__comm ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_fun__left__comm_Ofun__comp__comm-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13607, _u13607, _u13607, hAPP(_u13608, _u13609)), hAPP(_u13608, _u13610)) = hAPP(c_Fun_Ocomp(_u13607, _u13607, _u13607, hAPP(_u13608, _u13610)), hAPP(_u13608, _u13609))) | ~c_Finite__Set_Ofun__left__comm(_u13606, _u13607, _u13608) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_o__eq__elim ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_o__eq__elim-1, axiom, ( ( hAPP(_u13615, hAPP(_u13616, _u13611)) = hAPP(_u13618, hAPP(_u13619, _u13611))) | ( hAPP(c_Fun_Ocomp(_u13612, _u13613, _u13614, _u13615), _u13616) != hAPP(c_Fun_Ocomp(_u13617, _u13613, _u13614, _u13618), _u13619)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_o__eq__dest ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_o__eq__dest-1, axiom, ( ( hAPP(_u13623, hAPP(_u13624, _u13628)) = hAPP(_u13626, hAPP(_u13627, _u13628))) | ( hAPP(c_Fun_Ocomp(_u13620, _u13621, _u13622, _u13623), _u13624) != hAPP(c_Fun_Ocomp(_u13625, _u13621, _u13622, _u13626), _u13627)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_o__apply ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_o__apply-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u13629, _u13630, _u13631, _u13632), _u13633), _u13634) = hAPP(_u13632, hAPP(_u13633, _u13634))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_o__assoc ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_o__assoc-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13635, _u13636, _u13637, _u13638), hAPP(c_Fun_Ocomp(_u13639, _u13635, _u13637, _u13640), _u13641)) = hAPP(c_Fun_Ocomp(_u13639, _u13636, _u13637, hAPP(c_Fun_Ocomp(_u13635, _u13636, _u13639, _u13638), _u13640)), _u13641)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_o__eq__dest__lhs ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_o__eq__dest__lhs-1, axiom, ( ( hAPP(_u13645, hAPP(_u13646, _u13648)) = hAPP(_u13647, _u13648)) | ( hAPP(c_Fun_Ocomp(_u13642, _u13643, _u13644, _u13645), _u13646) != _u13647) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_comp__cong ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_comp__cong-1, axiom, ( ( hAPP(_u13649, hAPP(_u13650, _u13651)) != hAPP(_u13652, hAPP(_u13653, _u13654))) | ( hAPP(hAPP(c_Fun_Ocomp(_u13655, _u13656, _u13657, _u13649), _u13650), _u13651) = hAPP(hAPP(c_Fun_Ocomp(_u13658, _u13656, _u13659, _u13652), _u13653), _u13654)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_fun__upd__comp ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_fun__upd__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13660, _u13661, _u13662, _u13663), c_Fun_Ofun__upd(_u13662, _u13660, _u13664, _u13665, _u13666)) = c_Fun_Ofun__upd(_u13662, _u13661, hAPP(c_Fun_Ocomp(_u13660, _u13661, _u13662, _u13663), _u13664), _u13665, hAPP(_u13663, _u13666))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_apsnd__compose ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_apsnd__compose-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u13667, _u13668, _u13669, _u13670), hAPP(c_Product__Type_Oapsnd(_u13671, _u13667, _u13669, _u13672), _u13673)) = hAPP(c_Product__Type_Oapsnd(_u13671, _u13668, _u13669, hAPP(c_Fun_Ocomp(_u13667, _u13668, _u13671, _u13670), _u13672)), _u13673)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_apfst__compose ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_apfst__compose-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u13674, _u13675, _u13676, _u13677), hAPP(c_Product__Type_Oapfst(_u13678, _u13674, _u13676, _u13679), _u13680)) = hAPP(c_Product__Type_Oapfst(_u13678, _u13675, _u13676, hAPP(c_Fun_Ocomp(_u13674, _u13675, _u13678, _u13677), _u13679)), _u13680)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_vimage__compose ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_vimage__compose-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13681, _u13682, hAPP(c_Fun_Ocomp(_u13683, _u13682, _u13681, _u13684), _u13685)), _u13686) = hAPP(c_Set_Ovimage(_u13681, _u13683, _u13685), hAPP(c_Set_Ovimage(_u13683, _u13682, _u13684), _u13686))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_o__id ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_o__id-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13687, _u13688, _u13687, _u13689), c_Fun_Oid(_u13687)) = _u13689) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_id__o ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_id__o-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13690, _u13690, _u13691, c_Fun_Oid(_u13690)), _u13692) = _u13692) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_o__eq__id__dest ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_o__eq__id__dest-1, axiom, ( ( hAPP(_u13696, hAPP(_u13697, _u13699)) = hAPP(_u13698, _u13699)) | ( hAPP(c_Fun_Ocomp(_u13693, _u13694, _u13695, _u13696), _u13697) != hAPP(c_Fun_Ocomp(_u13694, _u13694, _u13695, c_Fun_Oid(_u13694)), _u13698)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_setsum__reindex ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_setsum__reindex-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13700) | ~c_Fun_Oinj__on(_u13701, _u13702, _u13703, _u13704) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13702, _u13700), _u13705), hAPP(c_Set_Oimage(_u13701, _u13702, _u13703), _u13704)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13701, _u13700), hAPP(c_Fun_Ocomp(_u13702, _u13700, _u13701, _u13705), _u13703)), _u13704)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_setprod__reindex ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_setprod__reindex-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13706) | ~c_Fun_Oinj__on(_u13707, _u13708, _u13709, _u13710) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13708, _u13706), _u13711), hAPP(c_Set_Oimage(_u13707, _u13708, _u13709), _u13710)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13707, _u13706), hAPP(c_Fun_Ocomp(_u13708, _u13706, _u13707, _u13711), _u13709)), _u13710)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_setprod__reindex__cong ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_setprod__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13712) | ~c_Fun_Oinj__on(_u13713, _u13714, _u13715, _u13716) | ( _u13717 != hAPP(c_Set_Oimage(_u13713, _u13714, _u13715), _u13716)) | ( _u13718 != hAPP(c_Fun_Ocomp(_u13714, _u13712, _u13713, _u13719), _u13715)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13714, _u13712), _u13719), _u13717) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13713, _u13712), _u13718), _u13716)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_setsum_Oreindex ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_setsum_Oreindex-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13720) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13721), _u13722)) | ~c_Fun_Oinj__on(_u13721, _u13721, _u13723, _u13722) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13721, _u13720), _u13724), hAPP(c_Set_Oimage(_u13721, _u13721, _u13723), _u13722)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13721, _u13720), hAPP(c_Fun_Ocomp(_u13721, _u13720, _u13721, _u13724), _u13723)), _u13722)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_setprod_Oreindex ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_setprod_Oreindex-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13725) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13726), _u13727)) | ~c_Fun_Oinj__on(_u13726, _u13726, _u13728, _u13727) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13726, _u13725), _u13729), hAPP(c_Set_Oimage(_u13726, _u13726, _u13728), _u13727)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13726, _u13725), hAPP(c_Fun_Ocomp(_u13726, _u13725, _u13726, _u13729), _u13728)), _u13727)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_the__inv__into__comp ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_the__inv__into__comp-1, axiom, ( ~c_Fun_Oinj__on(_u13730, _u13731, _u13732, hAPP(c_Set_Oimage(_u13733, _u13730, _u13734), _u13735)) | ~c_Fun_Oinj__on(_u13733, _u13730, _u13734, _u13735) | ~hBOOL(hAPP(hAPP(c_member(_u13731), _u13736), hAPP(c_Set_Oimage(_u13730, _u13731, _u13732), hAPP(c_Set_Oimage(_u13733, _u13730, _u13734), _u13735)))) | ( hAPP(c_Fun_Othe__inv__into(_u13733, _u13731, _u13735, hAPP(c_Fun_Ocomp(_u13730, _u13731, _u13733, _u13732), _u13734)), _u13736) = hAPP(hAPP(c_Fun_Ocomp(_u13730, _u13733, _u13731, c_Fun_Othe__inv__into(_u13733, _u13730, _u13735, _u13734)), c_Fun_Othe__inv__into(_u13730, _u13731, hAPP(c_Set_Oimage(_u13733, _u13730, _u13734), _u13735), _u13732)), _u13736)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_fold__image__reindex ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_fold__image__reindex-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u13737) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13738), _u13739)) | ~c_Fun_Oinj__on(_u13738, _u13740, _u13741, _u13739) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13737, _u13740, c_Groups_Otimes__class_Otimes(_u13737)), _u13742), _u13743), hAPP(c_Set_Oimage(_u13738, _u13740, _u13741), _u13739)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13737, _u13738, c_Groups_Otimes__class_Otimes(_u13737)), hAPP(c_Fun_Ocomp(_u13740, _u13737, _u13738, _u13742), _u13741)), _u13743), _u13739)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_folding_Oremove ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_folding_Oremove-1, axiom, ( ~c_Finite__Set_Ofolding(_u13744, _u13745, _u13746, _u13747) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13744), _u13748)) | ~hBOOL(hAPP(hAPP(c_member(_u13744), _u13749), _u13748)) | ( hAPP(_u13747, _u13748) = hAPP(c_Fun_Ocomp(_u13745, _u13745, _u13745, hAPP(_u13747, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13744, tc_HOL_Obool)), _u13748), hAPP(hAPP(c_Set_Oinsert(_u13744), _u13749), c_Orderings_Obot__class_Obot(tc_fun(_u13744, tc_HOL_Obool)))))), hAPP(_u13746, _u13749))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_folding__image_Oreindex ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_folding__image_Oreindex-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u13750, _u13751, _u13752, _u13753, _u13754) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13751), _u13755)) | ~c_Fun_Oinj__on(_u13751, _u13751, _u13756, _u13755) | ( hAPP(hAPP(_u13754, _u13757), hAPP(c_Set_Oimage(_u13751, _u13751, _u13756), _u13755)) = hAPP(hAPP(_u13754, hAPP(c_Fun_Ocomp(_u13751, _u13750, _u13751, _u13757), _u13756)), _u13755)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_folding_Ounion ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_folding_Ounion-1, axiom, ( ~c_Finite__Set_Ofolding(_u13758, _u13759, _u13760, _u13761) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13758), _u13762)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13758), _u13763)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13758, tc_HOL_Obool)), _u13762), _u13763) != c_Orderings_Obot__class_Obot(tc_fun(_u13758, tc_HOL_Obool))) | ( hAPP(_u13761, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13758, tc_HOL_Obool)), _u13762), _u13763)) = hAPP(c_Fun_Ocomp(_u13759, _u13759, _u13759, hAPP(_u13761, _u13762)), hAPP(_u13761, _u13763))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_fst__comp__map__pair ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_fst__comp__map__pair-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13764, _u13765), _u13764, tc_prod(_u13766, _u13767), c_Product__Type_Ofst(_u13764, _u13765)), c_Product__Type_Omap__pair(_u13766, _u13764, _u13767, _u13765, _u13768, _u13769)) = hAPP(c_Fun_Ocomp(_u13766, _u13764, tc_prod(_u13766, _u13767), _u13768), c_Product__Type_Ofst(_u13766, _u13767))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_UN__o ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_UN__o-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13770, tc_fun(_u13771, tc_HOL_Obool)), _u13772), hAPP(c_Fun_Ocomp(_u13773, tc_fun(_u13771, tc_HOL_Obool), _u13770, _u13774), _u13775)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13773, tc_fun(_u13771, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13770, _u13773, _u13775), _u13772)), _u13774)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_folding_Ocommute__left__comp ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_folding_Ocommute__left__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13777, _u13777, _u13780, hAPP(_u13778, _u13781)), hAPP(c_Fun_Ocomp(_u13777, _u13777, _u13780, hAPP(_u13778, _u13782)), _u13783)) = hAPP(c_Fun_Ocomp(_u13777, _u13777, _u13780, hAPP(_u13778, _u13782)), hAPP(c_Fun_Ocomp(_u13777, _u13777, _u13780, hAPP(_u13778, _u13781)), _u13783))) | ~c_Finite__Set_Ofolding(_u13776, _u13777, _u13778, _u13779) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_folding_Ocommute__comp ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_folding_Ocommute__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13785, _u13785, _u13785, hAPP(_u13786, _u13788)), hAPP(_u13786, _u13789)) = hAPP(c_Fun_Ocomp(_u13785, _u13785, _u13785, hAPP(_u13786, _u13789)), hAPP(_u13786, _u13788))) | ~c_Finite__Set_Ofolding(_u13784, _u13785, _u13786, _u13787) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_folding_Ocommute__comps_I1_J ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_folding_Ocommute__comps_I1_J-1, axiom, ( ~c_Finite__Set_Ofolding(_u13790, _u13791, _u13792, _u13793) | ( hAPP(c_Fun_Ocomp(_u13794, _u13795, _u13796, _u13797), hAPP(c_Fun_Ocomp(_u13798, _u13794, _u13796, _u13799), _u13800)) = hAPP(c_Fun_Ocomp(_u13798, _u13795, _u13796, hAPP(c_Fun_Ocomp(_u13794, _u13795, _u13798, _u13797), _u13799)), _u13800)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_snd__comp__map__pair ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_snd__comp__map__pair-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13801, _u13802), _u13802, tc_prod(_u13803, _u13804), c_Product__Type_Osnd(_u13801, _u13802)), c_Product__Type_Omap__pair(_u13803, _u13801, _u13804, _u13802, _u13805, _u13806)) = hAPP(c_Fun_Ocomp(_u13804, _u13802, tc_prod(_u13803, _u13804), _u13806), c_Product__Type_Osnd(_u13803, _u13804))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_folding__image_Odistrib ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_folding__image_Odistrib-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u13807, _u13808, _u13809, _u13810, _u13811) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13808), _u13812)) | ( hAPP(hAPP(_u13811, hAPP(hAPP(c_COMBS(_u13808, _u13807, _u13807), hAPP(hAPP(c_COMBB(_u13807, tc_fun(_u13807, _u13807), _u13808), _u13809), _u13813)), _u13814)), _u13812) = hAPP(hAPP(_u13809, hAPP(hAPP(_u13811, _u13813), _u13812)), hAPP(hAPP(_u13811, _u13814), _u13812))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_split__comp ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_split__comp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13815, _u13816, _u13817), hAPP(c_Fun_Ocomp(_u13818, tc_fun(_u13816, _u13817), _u13815, _u13819), _u13820)), _u13821) = hAPP(hAPP(_u13819, hAPP(_u13820, hAPP(c_Product__Type_Ofst(_u13815, _u13816), _u13821))), hAPP(c_Product__Type_Osnd(_u13815, _u13816), _u13821))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_folding_Ocommute__left__comp_H_H ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_folding_Ocommute__left__comp_H_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u13822, _u13823, _u13824, _u13825) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13822), _u13826)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13822), _u13827)) | ( hAPP(c_Fun_Ocomp(_u13823, _u13823, _u13828, hAPP(_u13825, _u13827)), hAPP(c_Fun_Ocomp(_u13823, _u13823, _u13828, hAPP(_u13825, _u13826)), _u13829)) = hAPP(c_Fun_Ocomp(_u13823, _u13823, _u13828, hAPP(_u13825, _u13826)), hAPP(c_Fun_Ocomp(_u13823, _u13823, _u13828, hAPP(_u13825, _u13827)), _u13829))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_folding_Ocommute__comp_H_H ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_folding_Ocommute__comp_H_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u13830, _u13831, _u13832, _u13833) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13830), _u13834)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13830), _u13835)) | ( hAPP(c_Fun_Ocomp(_u13831, _u13831, _u13831, hAPP(_u13833, _u13835)), hAPP(_u13833, _u13834)) = hAPP(c_Fun_Ocomp(_u13831, _u13831, _u13831, hAPP(_u13833, _u13834)), hAPP(_u13833, _u13835))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_folding_Ocommute__left__comp_H ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_folding_Ocommute__left__comp_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u13836, _u13837, _u13838, _u13839) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13836), _u13840)) | ( hAPP(c_Fun_Ocomp(_u13837, _u13837, _u13841, hAPP(_u13838, _u13842)), hAPP(c_Fun_Ocomp(_u13837, _u13837, _u13841, hAPP(_u13839, _u13840)), _u13843)) = hAPP(c_Fun_Ocomp(_u13837, _u13837, _u13841, hAPP(_u13839, _u13840)), hAPP(c_Fun_Ocomp(_u13837, _u13837, _u13841, hAPP(_u13838, _u13842)), _u13843))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_folding_Ocommute__comp_H ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_folding_Ocommute__comp_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u13844, _u13845, _u13846, _u13847) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13844), _u13848)) | ( hAPP(c_Fun_Ocomp(_u13845, _u13845, _u13845, hAPP(_u13846, _u13849)), hAPP(_u13847, _u13848)) = hAPP(c_Fun_Ocomp(_u13845, _u13845, _u13845, hAPP(_u13847, _u13848)), hAPP(_u13846, _u13849))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_folding_Oempty ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_folding_Oempty-1, axiom, ( ~c_Finite__Set_Ofolding(_u13850, _u13851, _u13852, _u13853) | ( hAPP(_u13853, c_Orderings_Obot__class_Obot(tc_fun(_u13850, tc_HOL_Obool))) = c_Fun_Oid(_u13851)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_folding_Oeq__fold ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_folding_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding(_u13854, _u13855, _u13856, _u13857) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13854), _u13858)) | ( hAPP(hAPP(_u13857, _u13858), _u13859) = hAPP(hAPP(c_Finite__Set_Ofold(_u13854, _u13855, _u13856), _u13859), _u13858)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_folding__image_Oeq__fold ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_folding__image_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u13860, _u13861, _u13862, _u13863, _u13864) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13861), _u13865)) | ( hAPP(hAPP(_u13864, _u13866), _u13865) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13860, _u13861, _u13862), _u13866), _u13863), _u13865)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_folding_Oinsert ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_folding_Oinsert-1, axiom, ( ~c_Finite__Set_Ofolding(_u13867, _u13868, _u13869, _u13870) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13867), _u13871)) | hBOOL(hAPP(hAPP(c_member(_u13867), _u13872), _u13871)) | ( hAPP(_u13870, hAPP(hAPP(c_Set_Oinsert(_u13867), _u13872), _u13871)) = hAPP(c_Fun_Ocomp(_u13868, _u13868, _u13868, hAPP(_u13870, _u13871)), hAPP(_u13869, _u13872))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_folding_Ounion__inter ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_folding_Ounion__inter-1, axiom, ( ~c_Finite__Set_Ofolding(_u13873, _u13874, _u13875, _u13876) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13873), _u13877)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13873), _u13878)) | ( hAPP(c_Fun_Ocomp(_u13874, _u13874, _u13874, hAPP(_u13876, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13873, tc_HOL_Obool)), _u13877), _u13878))), hAPP(_u13876, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13873, tc_HOL_Obool)), _u13877), _u13878))) = hAPP(c_Fun_Ocomp(_u13874, _u13874, _u13874, hAPP(_u13876, _u13877)), hAPP(_u13876, _u13878))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_folding_Oinsert__remove ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_folding_Oinsert__remove-1, axiom, ( ~c_Finite__Set_Ofolding(_u13879, _u13880, _u13881, _u13882) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13879), _u13883)) | ( hAPP(_u13882, hAPP(hAPP(c_Set_Oinsert(_u13879), _u13884), _u13883)) = hAPP(c_Fun_Ocomp(_u13880, _u13880, _u13880, hAPP(_u13882, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13879, tc_HOL_Obool)), _u13883), hAPP(hAPP(c_Set_Oinsert(_u13879), _u13884), c_Orderings_Obot__class_Obot(tc_fun(_u13879, tc_HOL_Obool)))))), hAPP(_u13881, _u13884))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_setsum__reindex__nonzero ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_setsum__reindex__nonzero-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13887) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13888), _u13889)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13892, _u13887), _u13891), hAPP(c_Set_Oimage(_u13888, _u13892, _u13890), _u13889)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13888, _u13887), hAPP(c_Fun_Ocomp(_u13892, _u13887, _u13888, _u13891), _u13890)), _u13889)) | hBOOL(hAPP(hAPP(c_member(_u13888), skolem363(_u13892, _u13891, _u13890, _u13889, _u13888, _u13887)), _u13889)) )).
% 12.54/12.73 cnf(fact_setsum__reindex__nonzero-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13887) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13888), _u13889)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13892, _u13887), _u13891), hAPP(c_Set_Oimage(_u13888, _u13892, _u13890), _u13889)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13888, _u13887), hAPP(c_Fun_Ocomp(_u13892, _u13887, _u13888, _u13891), _u13890)), _u13889)) | hBOOL(hAPP(hAPP(c_member(_u13888), skolem364(_u13892, _u13891, _u13890, _u13889, _u13888, _u13887)), _u13889)) )).
% 12.54/12.73 cnf(fact_setsum__reindex__nonzero-3, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13887) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13888), _u13889)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13892, _u13887), _u13891), hAPP(c_Set_Oimage(_u13888, _u13892, _u13890), _u13889)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13888, _u13887), hAPP(c_Fun_Ocomp(_u13892, _u13887, _u13888, _u13891), _u13890)), _u13889)) | ( skolem363(_u13892, _u13891, _u13890, _u13889, _u13888, _u13887) != skolem364(_u13892, _u13891, _u13890, _u13889, _u13888, _u13887)) )).
% 12.54/12.73 cnf(fact_setsum__reindex__nonzero-4, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13887) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13888), _u13889)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13892, _u13887), _u13891), hAPP(c_Set_Oimage(_u13888, _u13892, _u13890), _u13889)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13888, _u13887), hAPP(c_Fun_Ocomp(_u13892, _u13887, _u13888, _u13891), _u13890)), _u13889)) | ( hAPP(_u13890, skolem363(_u13892, _u13891, _u13890, _u13889, _u13888, _u13887)) = hAPP(_u13890, skolem364(_u13892, _u13891, _u13890, _u13889, _u13888, _u13887))) )).
% 12.54/12.73 cnf(fact_setsum__reindex__nonzero-5, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13887) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13888), _u13889)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13892, _u13887), _u13891), hAPP(c_Set_Oimage(_u13888, _u13892, _u13890), _u13889)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13888, _u13887), hAPP(c_Fun_Ocomp(_u13892, _u13887, _u13888, _u13891), _u13890)), _u13889)) | ( hAPP(_u13891, hAPP(_u13890, skolem363(_u13892, _u13891, _u13890, _u13889, _u13888, _u13887))) != c_Groups_Ozero__class_Ozero(_u13887)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_folding__idem_Ounion__idem ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_folding__idem_Ounion__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u13893, _u13894, _u13895, _u13896) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13893), _u13897)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13893), _u13898)) | ( hAPP(_u13896, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13893, tc_HOL_Obool)), _u13897), _u13898)) = hAPP(c_Fun_Ocomp(_u13894, _u13894, _u13894, hAPP(_u13896, _u13897)), hAPP(_u13896, _u13898))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_folding__idem_Osubset__comp__idem ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_folding__idem_Osubset__comp__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u13899, _u13900, _u13901, _u13902) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13899), _u13903)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13899, tc_HOL_Obool)), _u13904), _u13903)) | ( hAPP(c_Fun_Ocomp(_u13900, _u13900, _u13900, hAPP(_u13902, _u13903)), hAPP(_u13902, _u13904)) = hAPP(_u13902, _u13903)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_folding__idem_Oidem__left__comp ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_folding__idem_Oidem__left__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13906, _u13906, _u13909, hAPP(_u13907, _u13910)), hAPP(c_Fun_Ocomp(_u13906, _u13906, _u13909, hAPP(_u13907, _u13910)), _u13911)) = hAPP(c_Fun_Ocomp(_u13906, _u13906, _u13909, hAPP(_u13907, _u13910)), _u13911)) | ~c_Finite__Set_Ofolding__idem(_u13905, _u13906, _u13907, _u13908) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_folding__idem_Oidem__comp ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_folding__idem_Oidem__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13913, _u13913, _u13913, hAPP(_u13914, _u13916)), hAPP(_u13914, _u13916)) = hAPP(_u13914, _u13916)) | ~c_Finite__Set_Ofolding__idem(_u13912, _u13913, _u13914, _u13915) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_folding__idem_Oin__comp__idem ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_folding__idem_Oin__comp__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u13917, _u13918, _u13919, _u13920) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13917), _u13921)) | ~hBOOL(hAPP(hAPP(c_member(_u13917), _u13922), _u13921)) | ( hAPP(c_Fun_Ocomp(_u13918, _u13918, _u13918, hAPP(_u13920, _u13921)), hAPP(_u13919, _u13922)) = hAPP(_u13920, _u13921)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_folding__idem_Oinsert__idem ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_folding__idem_Oinsert__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u13923, _u13924, _u13925, _u13926) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13923), _u13927)) | ( hAPP(_u13926, hAPP(hAPP(c_Set_Oinsert(_u13923), _u13928), _u13927)) = hAPP(c_Fun_Ocomp(_u13924, _u13924, _u13924, hAPP(_u13926, _u13927)), hAPP(_u13925, _u13928))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_strong__setprod__reindex__cong ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_strong__setprod__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13930) | ~c_Fun_Oinj__on(_u13931, _u13932, _u13933, _u13934) | ( _u13935 != hAPP(c_Set_Oimage(_u13931, _u13932, _u13933), _u13934)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13932, _u13930), _u13937), _u13935) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13931, _u13930), _u13936), _u13934)) | hBOOL(hAPP(hAPP(c_member(_u13931), skolem365(_u13937, _u13936, _u13935, _u13934, _u13933, _u13932, _u13931, _u13930)), _u13934)) )).
% 12.54/12.73 cnf(fact_strong__setprod__reindex__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13930) | ~c_Fun_Oinj__on(_u13931, _u13932, _u13933, _u13934) | ( _u13935 != hAPP(c_Set_Oimage(_u13931, _u13932, _u13933), _u13934)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13932, _u13930), _u13937), _u13935) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13931, _u13930), _u13936), _u13934)) | ( hAPP(_u13936, skolem365(_u13937, _u13936, _u13935, _u13934, _u13933, _u13932, _u13931, _u13930)) != hAPP(hAPP(c_Fun_Ocomp(_u13932, _u13930, _u13931, _u13937), _u13933), skolem365(_u13937, _u13936, _u13935, _u13934, _u13933, _u13932, _u13931, _u13930))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_Eps__split ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_Eps__split-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u13938, _u13939), hAPP(c_Product__Type_Oprod_Oprod__case(_u13938, _u13939, tc_HOL_Obool), _u13940)) = c_Hilbert__Choice_OEps(tc_prod(_u13938, _u13939), hAPP(hAPP(c_COMBS(tc_prod(_u13938, _u13939), _u13939, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u13938, tc_fun(_u13939, tc_HOL_Obool), tc_prod(_u13938, _u13939)), _u13940), c_Product__Type_Ofst(_u13938, _u13939))), c_Product__Type_Osnd(_u13938, _u13939)))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_wfI__pf ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_wfI__pf-1, axiom, ( c_Wellfounded_Owf(_u13942, _u13943) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13942, tc_HOL_Obool)), skolem366(_u13943, _u13942)), hAPP(c_Relation_OImage(_u13942, _u13942, _u13943), skolem366(_u13943, _u13942)))) )).
% 12.54/12.73 cnf(fact_wfI__pf-2, axiom, ( c_Wellfounded_Owf(_u13942, _u13943) | ( skolem366(_u13943, _u13942) != c_Orderings_Obot__class_Obot(tc_fun(_u13942, tc_HOL_Obool))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_tfl__some ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_tfl__some-1, axiom, ( ~hBOOL(hAPP(_u13945, _u13944)) | hBOOL(hAPP(_u13945, c_Hilbert__Choice_OEps(_u13946, _u13945))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_someI ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_someI-1, axiom, ( ~hBOOL(hAPP(_u13947, _u13948)) | hBOOL(hAPP(_u13947, c_Hilbert__Choice_OEps(_u13949, _u13947))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_some__sym__eq__trivial ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_some__sym__eq__trivial-1, axiom, ( ( c_Hilbert__Choice_OEps(_u13950, hAPP(c_fequal, _u13951)) = _u13951) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_some__eq__trivial ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_some__eq__trivial-1, axiom, ( ( c_Hilbert__Choice_OEps(_u13952, hAPP(hAPP(c_COMBC(_u13952, _u13952, tc_HOL_Obool), c_fequal), _u13953)) = _u13953) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_some__eq__ex ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_some__eq__ex-1, axiom, ( ~hBOOL(hAPP(_u13958, c_Hilbert__Choice_OEps(_u13960, _u13958))) | hBOOL(hAPP(_u13958, skolem367(_u13960, _u13958))) )).
% 12.54/12.73 cnf(fact_some__eq__ex-2, axiom, ( ~hBOOL(hAPP(_u13959, _u13955)) | hBOOL(hAPP(_u13959, c_Hilbert__Choice_OEps(_u13961, _u13959))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_someI__ex ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_someI__ex-1, axiom, ( ~hBOOL(hAPP(_u13963, _u13962)) | hBOOL(hAPP(_u13963, c_Hilbert__Choice_OEps(_u13964, _u13963))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_exE__some ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_exE__some-1, axiom, ( ~hBOOL(hAPP(_u13966, _u13965)) | ( _u13967 != c_Hilbert__Choice_OEps(_u13968, _u13966)) | hBOOL(hAPP(_u13966, _u13967)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_split__paired__Eps ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_split__paired__Eps-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u13969, _u13970), _u13971) = c_Hilbert__Choice_OEps(tc_prod(_u13969, _u13970), hAPP(c_Product__Type_Oprod_Oprod__case(_u13969, _u13970, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13970, tc_prod(_u13969, _u13970)), tc_fun(_u13970, tc_HOL_Obool), _u13969), hAPP(c_COMBB(tc_prod(_u13969, _u13970), tc_HOL_Obool, _u13970), _u13971)), c_Product__Type_OPair(_u13969, _u13970))))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_Eps__split__eq ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_Eps__split__eq-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u13972, _u13973), hAPP(c_Product__Type_Oprod_Oprod__case(_u13972, _u13973, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13972, tc_fun(_u13973, tc_HOL_Obool), tc_fun(_u13973, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13973, tc_HOL_Obool), tc_fun(_u13973, tc_HOL_Obool)), _u13972), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13973)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13972), c_fconj), hAPP(c_fequal, _u13974)))), hAPP(c_fequal, _u13975)))) = hAPP(hAPP(c_Product__Type_OPair(_u13972, _u13973), _u13974), _u13975)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_Sigma__mono ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_Sigma__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13977, tc_HOL_Obool)), _u13978), _u13979)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13977, _u13980), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13977, _u13980), _u13978), _u13981)), hAPP(hAPP(c_Product__Type_OSigma(_u13977, _u13980), _u13979), _u13982))) | hBOOL(hAPP(hAPP(c_member(_u13977), skolem368(_u13982, _u13981, _u13980, _u13979, _u13978, _u13977)), _u13978)) )).
% 12.54/12.73 cnf(fact_Sigma__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13977, tc_HOL_Obool)), _u13978), _u13979)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13977, _u13980), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13977, _u13980), _u13978), _u13981)), hAPP(hAPP(c_Product__Type_OSigma(_u13977, _u13980), _u13979), _u13982))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13980, tc_HOL_Obool)), hAPP(_u13981, skolem368(_u13982, _u13981, _u13980, _u13979, _u13978, _u13977))), hAPP(_u13982, skolem368(_u13982, _u13981, _u13980, _u13979, _u13978, _u13977)))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_not__acc__down ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_not__acc__down-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13984), _u13985), c_Wellfounded_Oacc(_u13984, _u13986))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13984, _u13984)), hAPP(hAPP(c_Product__Type_OPair(_u13984, _u13984), skolem369(_u13986, _u13985, _u13984)), _u13985)), _u13986)) )).
% 12.54/12.73 cnf(fact_not__acc__down-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13984), _u13985), c_Wellfounded_Oacc(_u13984, _u13986))) | ~hBOOL(hAPP(hAPP(c_member(_u13984), skolem369(_u13986, _u13985, _u13984)), c_Wellfounded_Oacc(_u13984, _u13986))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_acc_OaccI ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_acc_OaccI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13988), _u13989), c_Wellfounded_Oacc(_u13988, _u13990))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13988, _u13988)), hAPP(hAPP(c_Product__Type_OPair(_u13988, _u13988), skolem370(_u13990, _u13989, _u13988)), _u13989)), _u13990)) )).
% 12.54/12.73 cnf(fact_acc_OaccI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13988), _u13989), c_Wellfounded_Oacc(_u13988, _u13990))) | ~hBOOL(hAPP(hAPP(c_member(_u13988), skolem370(_u13990, _u13989, _u13988)), c_Wellfounded_Oacc(_u13988, _u13990))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_max__ext_Osimps ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_max__ext_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13999, tc_HOL_Obool), tc_fun(_u13999, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13999, tc_HOL_Obool), tc_fun(_u13999, tc_HOL_Obool)), _u14001), _u14003)), c_Wellfounded_Omax__ext(_u13999, _u14005))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13999), _u14001)) )).
% 12.54/12.73 cnf(fact_max__ext_Osimps-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13999, tc_HOL_Obool), tc_fun(_u13999, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13999, tc_HOL_Obool), tc_fun(_u13999, tc_HOL_Obool)), _u14001), _u14003)), c_Wellfounded_Omax__ext(_u13999, _u14005))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13999), _u14003)) )).
% 12.54/12.73 cnf(fact_max__ext_Osimps-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13999, tc_HOL_Obool), tc_fun(_u13999, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13999, tc_HOL_Obool), tc_fun(_u13999, tc_HOL_Obool)), _u14001), _u14003)), c_Wellfounded_Omax__ext(_u13999, _u14005))) | ( _u14003 != c_Orderings_Obot__class_Obot(tc_fun(_u13999, tc_HOL_Obool))) )).
% 12.54/12.73 cnf(fact_max__ext_Osimps-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13999, tc_HOL_Obool), tc_fun(_u13999, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13999, tc_HOL_Obool), tc_fun(_u13999, tc_HOL_Obool)), _u14001), _u14003)), c_Wellfounded_Omax__ext(_u13999, _u14005))) | ~hBOOL(hAPP(hAPP(c_member(_u13999), _u13992), _u14001)) | hBOOL(hAPP(hAPP(c_member(_u13999), skolem371(_u14005, _u14003, _u14001, _u13999, _u13992)), _u14003)) )).
% 12.54/12.73 cnf(fact_max__ext_Osimps-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13999, tc_HOL_Obool), tc_fun(_u13999, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13999, tc_HOL_Obool), tc_fun(_u13999, tc_HOL_Obool)), _u14001), _u14003)), c_Wellfounded_Omax__ext(_u13999, _u14005))) | ~hBOOL(hAPP(hAPP(c_member(_u13999), _u13992), _u14001)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13999, _u13999)), hAPP(hAPP(c_Product__Type_OPair(_u13999, _u13999), _u13992), skolem371(_u14005, _u14003, _u14001, _u13999, _u13992))), _u14005)) )).
% 12.54/12.73 cnf(fact_max__ext_Osimps-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14000, tc_HOL_Obool), tc_fun(_u14000, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14000, tc_HOL_Obool), tc_fun(_u14000, tc_HOL_Obool)), _u14002), _u14004)), c_Wellfounded_Omax__ext(_u14000, _u14006))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14000), _u14002)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14000), _u14004)) | ( _u14004 = c_Orderings_Obot__class_Obot(tc_fun(_u14000, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u14000), skolem372(_u14006, _u14004, _u14002, _u14000)), _u14002)) )).
% 12.54/12.73 cnf(fact_max__ext_Osimps-7, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14000, tc_HOL_Obool), tc_fun(_u14000, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14000, tc_HOL_Obool), tc_fun(_u14000, tc_HOL_Obool)), _u14002), _u14004)), c_Wellfounded_Omax__ext(_u14000, _u14006))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14000), _u14002)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14000), _u14004)) | ( _u14004 = c_Orderings_Obot__class_Obot(tc_fun(_u14000, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u14000), _u13993), _u14004)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14000, _u14000)), hAPP(hAPP(c_Product__Type_OPair(_u14000, _u14000), skolem372(_u14006, _u14004, _u14002, _u14000)), _u13993)), _u14006)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_wf__no__infinite__down__chainE ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_wf__no__infinite__down__chainE-1, axiom, ( ~c_Wellfounded_Owf(_u14008, _u14009) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14008, _u14008)), hAPP(hAPP(c_Product__Type_OPair(_u14008, _u14008), hAPP(_u14010, hAPP(c_Nat_OSuc, skolem373(_u14010, _u14009, _u14008)))), hAPP(_u14010, skolem373(_u14010, _u14009, _u14008)))), _u14009)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_iterate_Osimps ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_iterate_Osimps-1, axiom, ( ( _u14016 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u14018, _u14020, _u14016, _u14022), _u14024) = hAPP(c_Product__Type_OPair(_u14018, _u14020), _u14024)) )).
% 12.54/12.73 cnf(fact_iterate_Osimps-2, axiom, ( ( _u14017 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u14019, _u14021, _u14017, _u14023), _u14025) = hAPP(hAPP(c_Product__Type_Oscomp(_u14021, _u14019, _u14021, tc_prod(_u14019, _u14021)), hAPP(_u14023, _u14025)), c_Random_Oiterate(_u14019, _u14021, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u14017), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u14023))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_setsum__reindex__cong ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_setsum__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14027) | ~c_Fun_Oinj__on(_u14028, _u14029, _u14030, _u14031) | ( _u14032 != hAPP(c_Set_Oimage(_u14028, _u14029, _u14030), _u14031)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14029, _u14027), _u14034), _u14032) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14028, _u14027), _u14033), _u14031)) | hBOOL(hAPP(hAPP(c_member(_u14028), skolem374(_u14034, _u14033, _u14032, _u14031, _u14030, _u14029, _u14028, _u14027)), _u14031)) )).
% 12.54/12.73 cnf(fact_setsum__reindex__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14027) | ~c_Fun_Oinj__on(_u14028, _u14029, _u14030, _u14031) | ( _u14032 != hAPP(c_Set_Oimage(_u14028, _u14029, _u14030), _u14031)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14029, _u14027), _u14034), _u14032) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14028, _u14027), _u14033), _u14031)) | ( hAPP(_u14033, skolem374(_u14034, _u14033, _u14032, _u14031, _u14030, _u14029, _u14028, _u14027)) != hAPP(_u14034, hAPP(_u14030, skolem374(_u14034, _u14033, _u14032, _u14031, _u14030, _u14029, _u14028, _u14027)))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_scomp__apply ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_scomp__apply-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u14035, _u14036, _u14037, _u14038), _u14039), _u14040), _u14041) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14036, _u14037, _u14038), _u14040), hAPP(_u14039, _u14041))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_Pair__scomp ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_Pair__scomp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u14042, _u14043, _u14042, _u14044), hAPP(c_Product__Type_OPair(_u14043, _u14042), _u14045)), _u14046) = hAPP(_u14046, _u14045)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_scomp__scomp ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_scomp__scomp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u14047, _u14048, _u14049, _u14050), hAPP(hAPP(c_Product__Type_Oscomp(_u14047, _u14051, _u14052, tc_prod(_u14048, _u14049)), _u14053), _u14054)), _u14055) = hAPP(hAPP(c_Product__Type_Oscomp(_u14047, _u14051, _u14052, _u14050), _u14053), hAPP(hAPP(c_COMBC(_u14051, tc_fun(_u14048, tc_fun(_u14049, _u14050)), tc_fun(_u14052, _u14050)), hAPP(hAPP(c_COMBB(tc_fun(_u14052, tc_prod(_u14048, _u14049)), tc_fun(tc_fun(_u14048, tc_fun(_u14049, _u14050)), tc_fun(_u14052, _u14050)), _u14051), c_Product__Type_Oscomp(_u14052, _u14048, _u14049, _u14050)), _u14054)), _u14055))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_scomp__Pair ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_scomp__Pair-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u14056, _u14057, _u14058, tc_prod(_u14057, _u14058)), _u14059), c_Product__Type_OPair(_u14057, _u14058)) = _u14059) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_scomp__def ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_scomp__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u14060, _u14061, _u14062, _u14063), _u14064), _u14065), _u14066) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14061, _u14062, _u14063), _u14065), hAPP(_u14064, _u14066))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_scomp__unfold ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_scomp__unfold-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u14067, _u14068, _u14069, _u14070), _u14071), _u14072), _u14073) = hAPP(hAPP(_u14072, hAPP(c_Product__Type_Ofst(_u14068, _u14069), hAPP(_u14071, _u14073))), hAPP(c_Product__Type_Osnd(_u14068, _u14069), hAPP(_u14071, _u14073)))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_less__eq ( axiom ) converted to clauses:
% 12.54/12.73 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), _u14076), _u14078)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14076), _u14078)) )).
% 12.54/12.73 cnf(fact_less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14077), _u14079)) | 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), _u14077), _u14079)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_wf__eq__minimal ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_wf__eq__minimal-1, axiom, ( ~c_Wellfounded_Owf(_u14090, _u14092) | ~hBOOL(hAPP(hAPP(c_member(_u14090), _u14080), _u14083)) | hBOOL(hAPP(hAPP(c_member(_u14090), skolem375(_u14092, _u14090, _u14083)), _u14083)) )).
% 12.54/12.73 cnf(fact_wf__eq__minimal-2, axiom, ( ~c_Wellfounded_Owf(_u14090, _u14092) | ~hBOOL(hAPP(hAPP(c_member(_u14090), _u14080), _u14083)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14090, _u14090)), hAPP(hAPP(c_Product__Type_OPair(_u14090, _u14090), _u14081), skolem375(_u14092, _u14090, _u14083))), _u14092)) | ~hBOOL(hAPP(hAPP(c_member(_u14090), _u14081), _u14083)) )).
% 12.54/12.73 cnf(fact_wf__eq__minimal-3, axiom, ( c_Wellfounded_Owf(_u14091, _u14093) | hBOOL(hAPP(hAPP(c_member(_u14091), skolem377(_u14093, _u14091)), skolem376(_u14093, _u14091))) )).
% 12.54/12.73 cnf(fact_wf__eq__minimal-4, axiom, ( c_Wellfounded_Owf(_u14091, _u14093) | ~hBOOL(hAPP(hAPP(c_member(_u14091), _u14086), skolem376(_u14093, _u14091))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14091, _u14091)), hAPP(hAPP(c_Product__Type_OPair(_u14091, _u14091), skolem378(_u14093, _u14091, _u14086)), _u14086)), _u14093)) )).
% 12.54/12.73 cnf(fact_wf__eq__minimal-5, axiom, ( c_Wellfounded_Owf(_u14091, _u14093) | ~hBOOL(hAPP(hAPP(c_member(_u14091), _u14086), skolem376(_u14093, _u14091))) | hBOOL(hAPP(hAPP(c_member(_u14091), skolem378(_u14093, _u14091, _u14086)), skolem376(_u14093, _u14091))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_wf__trancl ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_wf__trancl-1, axiom, ( ~c_Wellfounded_Owf(_u14094, _u14095) | c_Wellfounded_Owf(_u14094, c_Transitive__Closure_Otrancl(_u14094, _u14095)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_less__than__def ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_less__than__def-1, axiom, ( ( c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_acyclic__def ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_acyclic__def-1, axiom, ( ~c_Wellfounded_Oacyclic(_u14100, _u14102) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14100, _u14100)), hAPP(hAPP(c_Product__Type_OPair(_u14100, _u14100), _u14096), _u14096)), c_Transitive__Closure_Otrancl(_u14100, _u14102))) )).
% 12.54/12.73 cnf(fact_acyclic__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14101, _u14101)), hAPP(hAPP(c_Product__Type_OPair(_u14101, _u14101), skolem379(_u14103, _u14101)), skolem379(_u14103, _u14101))), c_Transitive__Closure_Otrancl(_u14101, _u14103))) | c_Wellfounded_Oacyclic(_u14101, _u14103) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_trancl_Or__into__trancl ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_trancl_Or__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14104, _u14104)), hAPP(hAPP(c_Product__Type_OPair(_u14104, _u14104), _u14105), _u14106)), _u14107)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14104, _u14104)), hAPP(hAPP(c_Product__Type_OPair(_u14104, _u14104), _u14105), _u14106)), c_Transitive__Closure_Otrancl(_u14104, _u14107))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_trancl__subset__Field2 ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_trancl__subset__Field2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14108, _u14108), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14108, _u14109)), hAPP(hAPP(c_Product__Type_OSigma(_u14108, _u14108), hAPP(c_Relation_OField(_u14108), _u14109)), hAPP(c_COMBK(tc_fun(_u14108, tc_HOL_Obool), _u14108), hAPP(c_Relation_OField(_u14108), _u14109))))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_r__into__trancl_H ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_r__into__trancl_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14110, _u14110)), _u14111), _u14112)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14110, _u14110)), _u14111), c_Transitive__Closure_Otrancl(_u14110, _u14112))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_trancl__empty ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_trancl__empty-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14113, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14113, _u14113), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14113, _u14113), tc_HOL_Obool))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_trancl__domain ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_trancl__domain-1, axiom, ( ( hAPP(c_Relation_ODomain(_u14114, _u14114), c_Transitive__Closure_Otrancl(_u14114, _u14115)) = hAPP(c_Relation_ODomain(_u14114, _u14114), _u14115)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_trancl__range ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_trancl__range-1, axiom, ( ( hAPP(c_Relation_ORange(_u14116, _u14116), c_Transitive__Closure_Otrancl(_u14116, _u14117)) = hAPP(c_Relation_ORange(_u14116, _u14116), _u14117)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_finite__trancl ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_finite__trancl-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14120, _u14120)), c_Transitive__Closure_Otrancl(_u14120, _u14122))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14120, _u14120)), _u14122)) )).
% 12.54/12.73 cnf(fact_finite__trancl-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14121, _u14121)), _u14123)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14121, _u14121)), c_Transitive__Closure_Otrancl(_u14121, _u14123))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_r__r__into__trancl ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_r__r__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14124, _u14124)), hAPP(hAPP(c_Product__Type_OPair(_u14124, _u14124), _u14125), _u14126)), _u14127)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14124, _u14124)), hAPP(hAPP(c_Product__Type_OPair(_u14124, _u14124), _u14126), _u14128)), _u14127)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14124, _u14124)), hAPP(hAPP(c_Product__Type_OPair(_u14124, _u14124), _u14125), _u14128)), c_Transitive__Closure_Otrancl(_u14124, _u14127))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_trancl__into__trancl2 ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_trancl__into__trancl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14129, _u14129)), hAPP(hAPP(c_Product__Type_OPair(_u14129, _u14129), _u14130), _u14131)), _u14132)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14129, _u14129)), hAPP(hAPP(c_Product__Type_OPair(_u14129, _u14129), _u14131), _u14133)), c_Transitive__Closure_Otrancl(_u14129, _u14132))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14129, _u14129)), hAPP(hAPP(c_Product__Type_OPair(_u14129, _u14129), _u14130), _u14133)), c_Transitive__Closure_Otrancl(_u14129, _u14132))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_Transitive__Closure_Otrancl__into__trancl ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_Transitive__Closure_Otrancl__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14134, _u14134)), hAPP(hAPP(c_Product__Type_OPair(_u14134, _u14134), _u14135), _u14136)), c_Transitive__Closure_Otrancl(_u14134, _u14137))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14134, _u14134)), hAPP(hAPP(c_Product__Type_OPair(_u14134, _u14134), _u14136), _u14138)), _u14137)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14134, _u14134)), hAPP(hAPP(c_Product__Type_OPair(_u14134, _u14134), _u14135), _u14138)), c_Transitive__Closure_Otrancl(_u14134, _u14137))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_trancl__trans ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_trancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14139, _u14139)), hAPP(hAPP(c_Product__Type_OPair(_u14139, _u14139), _u14140), _u14141)), c_Transitive__Closure_Otrancl(_u14139, _u14142))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14139, _u14139)), hAPP(hAPP(c_Product__Type_OPair(_u14139, _u14139), _u14141), _u14143)), c_Transitive__Closure_Otrancl(_u14139, _u14142))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14139, _u14139)), hAPP(hAPP(c_Product__Type_OPair(_u14139, _u14139), _u14140), _u14143)), c_Transitive__Closure_Otrancl(_u14139, _u14142))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_trancl__mono ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_trancl__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14144, _u14144)), _u14145), c_Transitive__Closure_Otrancl(_u14144, _u14146))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14144, _u14144), tc_HOL_Obool)), _u14146), _u14147)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14144, _u14144)), _u14145), c_Transitive__Closure_Otrancl(_u14144, _u14147))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_trancl__unfold ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_trancl__unfold-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14148, _u14149) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14148, _u14148), tc_HOL_Obool)), _u14149), hAPP(hAPP(c_Relation_Orel__comp(_u14148, _u14148, _u14148), c_Transitive__Closure_Otrancl(_u14148, _u14149)), _u14149))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_trancl__subset__Sigma ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_trancl__subset__Sigma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14150, _u14150), tc_HOL_Obool)), _u14151), hAPP(hAPP(c_Product__Type_OSigma(_u14150, _u14150), _u14152), hAPP(c_COMBK(tc_fun(_u14150, tc_HOL_Obool), _u14150), _u14152)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14150, _u14150), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14150, _u14151)), hAPP(hAPP(c_Product__Type_OSigma(_u14150, _u14150), _u14152), hAPP(c_COMBK(tc_fun(_u14150, tc_HOL_Obool), _u14150), _u14152)))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_trancl__Int__subset ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_trancl__Int__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14153, _u14153), tc_HOL_Obool)), _u14154), _u14155)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14153, _u14153), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14153, _u14153, _u14153), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14153, _u14153), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14153, _u14154)), _u14155)), _u14154)), _u14155)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14153, _u14153), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14153, _u14154)), _u14155)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_trancl__insert ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_trancl__insert-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14156, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14156, _u14156)), hAPP(hAPP(c_Product__Type_OPair(_u14156, _u14156), _u14157), _u14158)), _u14159)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14156, _u14156), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14156, _u14159)), hAPP(c_Set_OCollect(tc_prod(_u14156, _u14156)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14156, _u14156, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14156, tc_fun(_u14156, tc_HOL_Obool), tc_fun(_u14156, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14156, tc_HOL_Obool), tc_fun(_u14156, tc_HOL_Obool)), _u14156), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14156)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14156), c_fconj), hAPP(hAPP(c_COMBC(_u14156, tc_fun(tc_prod(_u14156, _u14156), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u14156, _u14156), tc_fun(tc_fun(tc_prod(_u14156, _u14156), tc_HOL_Obool), tc_HOL_Obool), _u14156), c_member(tc_prod(_u14156, _u14156))), hAPP(hAPP(c_COMBC(_u14156, _u14156, tc_prod(_u14156, _u14156)), c_Product__Type_OPair(_u14156, _u14156)), _u14157))), c_Transitive__Closure_Ortrancl(_u14156, _u14159))))), hAPP(hAPP(c_COMBC(_u14156, tc_fun(tc_prod(_u14156, _u14156), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u14156, _u14156), tc_fun(tc_fun(tc_prod(_u14156, _u14156), tc_HOL_Obool), tc_HOL_Obool), _u14156), c_member(tc_prod(_u14156, _u14156))), hAPP(c_Product__Type_OPair(_u14156, _u14156), _u14158))), c_Transitive__Closure_Ortrancl(_u14156, _u14159))))))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_reflcl__set__eq ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_reflcl__set__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14164, tc_fun(_u14164, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u14164, tc_fun(tc_prod(_u14164, _u14164), tc_HOL_Obool), tc_fun(_u14164, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14164, tc_fun(tc_fun(tc_prod(_u14164, _u14164), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14164, _u14164), tc_HOL_Obool), tc_fun(_u14164, tc_HOL_Obool)), _u14164), c_COMBC(_u14164, tc_fun(tc_prod(_u14164, _u14164), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14164, tc_prod(_u14164, _u14164)), tc_fun(_u14164, tc_fun(tc_fun(tc_prod(_u14164, _u14164), tc_HOL_Obool), tc_HOL_Obool)), _u14164), hAPP(c_COMBB(tc_prod(_u14164, _u14164), tc_fun(tc_fun(tc_prod(_u14164, _u14164), tc_HOL_Obool), tc_HOL_Obool), _u14164), c_member(tc_prod(_u14164, _u14164)))), c_Product__Type_OPair(_u14164, _u14164)))), _u14166)), c_fequal), _u14168), _u14170)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14164, _u14164)), hAPP(hAPP(c_Product__Type_OPair(_u14164, _u14164), _u14168), _u14170)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14164, _u14164), tc_HOL_Obool)), _u14166), c_Relation_OId(_u14164)))) )).
% 12.54/12.73 cnf(fact_reflcl__set__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14165, _u14165)), hAPP(hAPP(c_Product__Type_OPair(_u14165, _u14165), _u14169), _u14171)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14165, _u14165), tc_HOL_Obool)), _u14167), c_Relation_OId(_u14165)))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14165, tc_fun(_u14165, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u14165, tc_fun(tc_prod(_u14165, _u14165), tc_HOL_Obool), tc_fun(_u14165, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14165, tc_fun(tc_fun(tc_prod(_u14165, _u14165), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14165, _u14165), tc_HOL_Obool), tc_fun(_u14165, tc_HOL_Obool)), _u14165), c_COMBC(_u14165, tc_fun(tc_prod(_u14165, _u14165), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14165, tc_prod(_u14165, _u14165)), tc_fun(_u14165, tc_fun(tc_fun(tc_prod(_u14165, _u14165), tc_HOL_Obool), tc_HOL_Obool)), _u14165), hAPP(c_COMBB(tc_prod(_u14165, _u14165), tc_fun(tc_fun(tc_prod(_u14165, _u14165), tc_HOL_Obool), tc_HOL_Obool), _u14165), c_member(tc_prod(_u14165, _u14165)))), c_Product__Type_OPair(_u14165, _u14165)))), _u14167)), c_fequal), _u14169), _u14171)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_r__into__rtrancl ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_r__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14172, _u14172)), _u14173), _u14174)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14172, _u14172)), _u14173), c_Transitive__Closure_Ortrancl(_u14172, _u14174))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rtrancl_Ortrancl__refl ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rtrancl_Ortrancl__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14175, _u14175)), hAPP(hAPP(c_Product__Type_OPair(_u14175, _u14175), _u14176), _u14176)), c_Transitive__Closure_Ortrancl(_u14175, _u14177))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_IdI ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_IdI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14178, _u14178)), hAPP(hAPP(c_Product__Type_OPair(_u14178, _u14178), _u14179), _u14179)), c_Relation_OId(_u14178))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_trancl__into__rtrancl ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_trancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14180, _u14180)), hAPP(hAPP(c_Product__Type_OPair(_u14180, _u14180), _u14181), _u14182)), c_Transitive__Closure_Otrancl(_u14180, _u14183))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14180, _u14180)), hAPP(hAPP(c_Product__Type_OPair(_u14180, _u14180), _u14181), _u14182)), c_Transitive__Closure_Ortrancl(_u14180, _u14183))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_trancl__rtrancl__absorb ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_trancl__rtrancl__absorb-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14184, c_Transitive__Closure_Otrancl(_u14184, _u14185)) = c_Transitive__Closure_Ortrancl(_u14184, _u14185)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rtrancl__trancl__absorb ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rtrancl__trancl__absorb-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14186, c_Transitive__Closure_Ortrancl(_u14186, _u14187)) = c_Transitive__Closure_Ortrancl(_u14186, _u14187)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_reflcl__trancl ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_reflcl__trancl-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14188, _u14188), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14188, _u14189)), c_Relation_OId(_u14188)) = c_Transitive__Closure_Ortrancl(_u14188, _u14189)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_trancl__reflcl ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_trancl__reflcl-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14190, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14190, _u14190), tc_HOL_Obool)), _u14191), c_Relation_OId(_u14190))) = c_Transitive__Closure_Ortrancl(_u14190, _u14191)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_trancl__unfold__right ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_trancl__unfold__right-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14192, _u14193) = hAPP(hAPP(c_Relation_Orel__comp(_u14192, _u14192, _u14192), c_Transitive__Closure_Ortrancl(_u14192, _u14193)), _u14193)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_trancl__unfold__left ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_trancl__unfold__left-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14194, _u14195) = hAPP(hAPP(c_Relation_Orel__comp(_u14194, _u14194, _u14194), _u14195), c_Transitive__Closure_Ortrancl(_u14194, _u14195))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rtrancl__r__diff__Id ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rtrancl__r__diff__Id-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14196, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14196, _u14196), tc_HOL_Obool)), _u14197), c_Relation_OId(_u14196))) = c_Transitive__Closure_Ortrancl(_u14196, _u14197)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rtrancl__Int__subset ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rtrancl__Int__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14198, _u14198), tc_HOL_Obool)), c_Relation_OId(_u14198)), _u14199)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14198, _u14198), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14198, _u14198, _u14198), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14198, _u14198), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14198, _u14200)), _u14199)), _u14200)), _u14199)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14198, _u14198), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14198, _u14200)), _u14199)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_r__comp__rtrancl__eq ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_r__comp__rtrancl__eq-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14201, _u14201, _u14201), _u14202), c_Transitive__Closure_Ortrancl(_u14201, _u14202)) = hAPP(hAPP(c_Relation_Orel__comp(_u14201, _u14201, _u14201), c_Transitive__Closure_Ortrancl(_u14201, _u14202)), _u14202)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rtrancl__idemp__self__comp ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rtrancl__idemp__self__comp-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14203, _u14203, _u14203), c_Transitive__Closure_Ortrancl(_u14203, _u14204)), c_Transitive__Closure_Ortrancl(_u14203, _u14204)) = c_Transitive__Closure_Ortrancl(_u14203, _u14204)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rtrancl__unfold ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rtrancl__unfold-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14205, _u14206) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14205, _u14205), tc_HOL_Obool)), c_Relation_OId(_u14205)), hAPP(hAPP(c_Relation_Orel__comp(_u14205, _u14205, _u14205), c_Transitive__Closure_Ortrancl(_u14205, _u14206)), _u14206))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rtrancl__Un__subset ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rtrancl__Un__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14207, _u14207), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14207, _u14207), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14207, _u14208)), c_Transitive__Closure_Ortrancl(_u14207, _u14209))), c_Transitive__Closure_Ortrancl(_u14207, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14207, _u14207), tc_HOL_Obool)), _u14208), _u14209)))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rtrancl__reflcl ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rtrancl__reflcl-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14210, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14210, _u14210), tc_HOL_Obool)), _u14211), c_Relation_OId(_u14210))) = c_Transitive__Closure_Ortrancl(_u14210, _u14211)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rtrancl__Un__rtrancl ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rtrancl__Un__rtrancl-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14212, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14212, _u14212), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14212, _u14213)), c_Transitive__Closure_Ortrancl(_u14212, _u14214))) = c_Transitive__Closure_Ortrancl(_u14212, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14212, _u14212), tc_HOL_Obool)), _u14213), _u14214))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rtrancl__reflcl__absorb ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rtrancl__reflcl__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14215, _u14215), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14215, _u14216)), c_Relation_OId(_u14215)) = c_Transitive__Closure_Ortrancl(_u14215, _u14216)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rtrancl__subset__rtrancl ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rtrancl__subset__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14217, _u14217), tc_HOL_Obool)), _u14218), c_Transitive__Closure_Ortrancl(_u14217, _u14219))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14217, _u14217), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14217, _u14218)), c_Transitive__Closure_Ortrancl(_u14217, _u14219))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rtrancl__subset ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rtrancl__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14220, _u14220), tc_HOL_Obool)), _u14221), _u14222)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14220, _u14220), tc_HOL_Obool)), _u14222), c_Transitive__Closure_Ortrancl(_u14220, _u14221))) | ( c_Transitive__Closure_Ortrancl(_u14220, _u14222) = c_Transitive__Closure_Ortrancl(_u14220, _u14221)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rtrancl__mono ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rtrancl__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14223, _u14223), tc_HOL_Obool)), _u14224), _u14225)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14223, _u14223), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14223, _u14224)), c_Transitive__Closure_Ortrancl(_u14223, _u14225))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_Image__closed__trancl ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_Image__closed__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14226, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14226, _u14226, _u14227), _u14228)), _u14228)) | ( hAPP(c_Relation_OImage(_u14226, _u14226, c_Transitive__Closure_Ortrancl(_u14226, _u14227)), _u14228) = _u14228) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_in__rtrancl__UnI ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_in__rtrancl__UnI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14229, _u14229)), _u14230), c_Transitive__Closure_Ortrancl(_u14229, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14229, _u14229), tc_HOL_Obool)), _u14231), _u14232)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14229, _u14229)), _u14230), c_Transitive__Closure_Ortrancl(_u14229, _u14231))) )).
% 12.54/12.73 cnf(fact_in__rtrancl__UnI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14229, _u14229)), _u14230), c_Transitive__Closure_Ortrancl(_u14229, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14229, _u14229), tc_HOL_Obool)), _u14231), _u14232)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14229, _u14229)), _u14230), c_Transitive__Closure_Ortrancl(_u14229, _u14232))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_converse__rtrancl__into__rtrancl ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_converse__rtrancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14233, _u14233)), hAPP(hAPP(c_Product__Type_OPair(_u14233, _u14233), _u14234), _u14235)), _u14236)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14233, _u14233)), hAPP(hAPP(c_Product__Type_OPair(_u14233, _u14233), _u14235), _u14237)), c_Transitive__Closure_Ortrancl(_u14233, _u14236))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14233, _u14233)), hAPP(hAPP(c_Product__Type_OPair(_u14233, _u14233), _u14234), _u14237)), c_Transitive__Closure_Ortrancl(_u14233, _u14236))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rtrancl_Ortrancl__into__rtrancl ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rtrancl_Ortrancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14238, _u14238)), hAPP(hAPP(c_Product__Type_OPair(_u14238, _u14238), _u14239), _u14240)), c_Transitive__Closure_Ortrancl(_u14238, _u14241))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14238, _u14238)), hAPP(hAPP(c_Product__Type_OPair(_u14238, _u14238), _u14240), _u14242)), _u14241)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14238, _u14238)), hAPP(hAPP(c_Product__Type_OPair(_u14238, _u14238), _u14239), _u14242)), c_Transitive__Closure_Ortrancl(_u14238, _u14241))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rtrancl__trans ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rtrancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14243, _u14243)), hAPP(hAPP(c_Product__Type_OPair(_u14243, _u14243), _u14244), _u14245)), c_Transitive__Closure_Ortrancl(_u14243, _u14246))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14243, _u14243)), hAPP(hAPP(c_Product__Type_OPair(_u14243, _u14243), _u14245), _u14247)), c_Transitive__Closure_Ortrancl(_u14243, _u14246))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14243, _u14243)), hAPP(hAPP(c_Product__Type_OPair(_u14243, _u14243), _u14244), _u14247)), c_Transitive__Closure_Ortrancl(_u14243, _u14246))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rtrancl__idemp ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rtrancl__idemp-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14248, c_Transitive__Closure_Ortrancl(_u14248, _u14249)) = c_Transitive__Closure_Ortrancl(_u14248, _u14249)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rtrancl__empty ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rtrancl__empty-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14250, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14250, _u14250), tc_HOL_Obool))) = c_Relation_OId(_u14250)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_Range__rtrancl ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_Range__rtrancl-1, axiom, ( ( hAPP(c_Relation_ORange(_u14251, _u14251), c_Transitive__Closure_Ortrancl(_u14251, _u14252)) = c_Orderings_Otop__class_Otop(tc_fun(_u14251, tc_HOL_Obool))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_Domain__rtrancl ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_Domain__rtrancl-1, axiom, ( ( hAPP(c_Relation_ODomain(_u14253, _u14253), c_Transitive__Closure_Ortrancl(_u14253, _u14254)) = c_Orderings_Otop__class_Otop(tc_fun(_u14253, tc_HOL_Obool))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_refl__rtrancl ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_refl__rtrancl-1, axiom, ( c_Relation_Orefl__on(_u14255, c_Orderings_Otop__class_Otop(tc_fun(_u14255, tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14255, _u14256)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_Image__Id ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_Image__Id-1, axiom, ( ( hAPP(c_Relation_OImage(_u14257, _u14257, c_Relation_OId(_u14257)), _u14258) = _u14258) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_Id__O__R ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_Id__O__R-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14259, _u14259, _u14260), c_Relation_OId(_u14259)), _u14261) = _u14261) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_R__O__Id ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_R__O__Id-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14262, _u14263, _u14263), _u14264), c_Relation_OId(_u14263)) = _u14264) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_pair__in__Id__conv ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_pair__in__Id__conv-1, axiom, ( ( _u14270 = _u14272) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14268, _u14268)), hAPP(hAPP(c_Product__Type_OPair(_u14268, _u14268), _u14270), _u14272)), c_Relation_OId(_u14268))) )).
% 12.54/12.73 cnf(fact_pair__in__Id__conv-2, axiom, ( ( _u14271 != _u14273) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14269, _u14269)), hAPP(hAPP(c_Product__Type_OPair(_u14269, _u14269), _u14271), _u14273)), c_Relation_OId(_u14269))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rtrancl__eq__or__trancl ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rtrancl__eq__or__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14278, _u14278)), hAPP(hAPP(c_Product__Type_OPair(_u14278, _u14278), _u14280), _u14282)), c_Transitive__Closure_Ortrancl(_u14278, _u14284))) | ( _u14280 = _u14282) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14278, _u14278)), hAPP(hAPP(c_Product__Type_OPair(_u14278, _u14278), _u14280), _u14282)), c_Transitive__Closure_Otrancl(_u14278, _u14284))) )).
% 12.54/12.73 cnf(fact_rtrancl__eq__or__trancl-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14279, _u14279)), hAPP(hAPP(c_Product__Type_OPair(_u14279, _u14279), _u14281), _u14283)), c_Transitive__Closure_Ortrancl(_u14279, _u14285))) | ( _u14281 != _u14283) )).
% 12.54/12.73 cnf(fact_rtrancl__eq__or__trancl-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14279, _u14279)), hAPP(hAPP(c_Product__Type_OPair(_u14279, _u14279), _u14281), _u14283)), c_Transitive__Closure_Ortrancl(_u14279, _u14285))) | ( _u14281 = _u14283) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14279, _u14279)), hAPP(hAPP(c_Product__Type_OPair(_u14279, _u14279), _u14281), _u14283)), c_Transitive__Closure_Otrancl(_u14279, _u14285))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rtrancl__into__trancl2 ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rtrancl__into__trancl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14286, _u14286)), hAPP(hAPP(c_Product__Type_OPair(_u14286, _u14286), _u14287), _u14288)), _u14289)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14286, _u14286)), hAPP(hAPP(c_Product__Type_OPair(_u14286, _u14286), _u14288), _u14290)), c_Transitive__Closure_Ortrancl(_u14286, _u14289))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14286, _u14286)), hAPP(hAPP(c_Product__Type_OPair(_u14286, _u14286), _u14287), _u14290)), c_Transitive__Closure_Otrancl(_u14286, _u14289))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rtranclD ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rtranclD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14291, _u14291)), hAPP(hAPP(c_Product__Type_OPair(_u14291, _u14291), _u14292), _u14293)), c_Transitive__Closure_Ortrancl(_u14291, _u14294))) | ( _u14292 = _u14293) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14291, _u14291)), hAPP(hAPP(c_Product__Type_OPair(_u14291, _u14291), _u14292), _u14293)), c_Transitive__Closure_Otrancl(_u14291, _u14294))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rtrancl__into__trancl1 ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rtrancl__into__trancl1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14295, _u14295)), hAPP(hAPP(c_Product__Type_OPair(_u14295, _u14295), _u14296), _u14297)), c_Transitive__Closure_Ortrancl(_u14295, _u14298))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14295, _u14295)), hAPP(hAPP(c_Product__Type_OPair(_u14295, _u14295), _u14297), _u14299)), _u14298)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14295, _u14295)), hAPP(hAPP(c_Product__Type_OPair(_u14295, _u14295), _u14296), _u14299)), c_Transitive__Closure_Otrancl(_u14295, _u14298))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_trancl__rtrancl__trancl ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_trancl__rtrancl__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14300, _u14300)), hAPP(hAPP(c_Product__Type_OPair(_u14300, _u14300), _u14301), _u14302)), c_Transitive__Closure_Otrancl(_u14300, _u14303))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14300, _u14300)), hAPP(hAPP(c_Product__Type_OPair(_u14300, _u14300), _u14302), _u14304)), c_Transitive__Closure_Ortrancl(_u14300, _u14303))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14300, _u14300)), hAPP(hAPP(c_Product__Type_OPair(_u14300, _u14300), _u14301), _u14304)), c_Transitive__Closure_Otrancl(_u14300, _u14303))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rtrancl__trancl__trancl ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rtrancl__trancl__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14305, _u14305)), hAPP(hAPP(c_Product__Type_OPair(_u14305, _u14305), _u14306), _u14307)), c_Transitive__Closure_Ortrancl(_u14305, _u14308))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14305, _u14305)), hAPP(hAPP(c_Product__Type_OPair(_u14305, _u14305), _u14307), _u14309)), c_Transitive__Closure_Otrancl(_u14305, _u14308))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14305, _u14305)), hAPP(hAPP(c_Product__Type_OPair(_u14305, _u14305), _u14306), _u14309)), c_Transitive__Closure_Otrancl(_u14305, _u14308))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_Domain__Id ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_Domain__Id-1, axiom, ( ( hAPP(c_Relation_ODomain(_u14310, _u14310), c_Relation_OId(_u14310)) = c_Orderings_Otop__class_Otop(tc_fun(_u14310, tc_HOL_Obool))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_Range__Id ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_Range__Id-1, axiom, ( ( hAPP(c_Relation_ORange(_u14311, _u14311), c_Relation_OId(_u14311)) = c_Orderings_Otop__class_Otop(tc_fun(_u14311, tc_HOL_Obool))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_refl__Id ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_refl__Id-1, axiom, ( c_Relation_Orefl__on(_u14312, c_Orderings_Otop__class_Otop(tc_fun(_u14312, tc_HOL_Obool)), c_Relation_OId(_u14312)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_pair__leq__def ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_pair__leq__def-1, axiom, ( ( c_FunDef_Opair__leq = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), tc_HOL_Obool)), c_FunDef_Opair__less), c_Relation_OId(tc_prod(tc_Nat_Onat, tc_Nat_Onat)))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_Not__Domain__rtrancl ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_Not__Domain__rtrancl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14313), _u14314), hAPP(c_Relation_ODomain(_u14313, _u14313), _u14315))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14313, _u14313)), hAPP(hAPP(c_Product__Type_OPair(_u14313, _u14313), _u14314), _u14316)), c_Transitive__Closure_Ortrancl(_u14313, _u14315))) | ( _u14314 = _u14316) )).
% 12.54/12.73 cnf(fact_Not__Domain__rtrancl-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14313), _u14314), hAPP(c_Relation_ODomain(_u14313, _u14313), _u14315))) | ( _u14314 != _u14316) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14313, _u14313)), hAPP(hAPP(c_Product__Type_OPair(_u14313, _u14313), _u14314), _u14316)), c_Transitive__Closure_Ortrancl(_u14313, _u14315))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_acc__downwards__aux ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_acc__downwards__aux-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14317, _u14317)), hAPP(hAPP(c_Product__Type_OPair(_u14317, _u14317), _u14318), _u14319)), c_Transitive__Closure_Ortrancl(_u14317, _u14320))) | ~hBOOL(hAPP(hAPP(c_member(_u14317), _u14319), c_Wellfounded_Oacc(_u14317, _u14320))) | hBOOL(hAPP(hAPP(c_member(_u14317), _u14318), c_Wellfounded_Oacc(_u14317, _u14320))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_acc__downwards ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_acc__downwards-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14321), _u14322), c_Wellfounded_Oacc(_u14321, _u14323))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14321, _u14321)), hAPP(hAPP(c_Product__Type_OPair(_u14321, _u14321), _u14324), _u14322)), c_Transitive__Closure_Ortrancl(_u14321, _u14323))) | hBOOL(hAPP(hAPP(c_member(_u14321), _u14324), c_Wellfounded_Oacc(_u14321, _u14323))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_wf__insert ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_wf__insert-1, axiom, ( ~c_Wellfounded_Owf(_u14329, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14329, _u14329)), hAPP(hAPP(c_Product__Type_OPair(_u14329, _u14329), _u14331), _u14333)), _u14335)) | c_Wellfounded_Owf(_u14329, _u14335) )).
% 12.54/12.73 cnf(fact_wf__insert-2, axiom, ( ~c_Wellfounded_Owf(_u14329, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14329, _u14329)), hAPP(hAPP(c_Product__Type_OPair(_u14329, _u14329), _u14331), _u14333)), _u14335)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14329, _u14329)), hAPP(hAPP(c_Product__Type_OPair(_u14329, _u14329), _u14333), _u14331)), c_Transitive__Closure_Ortrancl(_u14329, _u14335))) )).
% 12.54/12.73 cnf(fact_wf__insert-3, axiom, ( ~c_Wellfounded_Owf(_u14330, _u14336) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14330, _u14330)), hAPP(hAPP(c_Product__Type_OPair(_u14330, _u14330), _u14334), _u14332)), c_Transitive__Closure_Ortrancl(_u14330, _u14336))) | c_Wellfounded_Owf(_u14330, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14330, _u14330)), hAPP(hAPP(c_Product__Type_OPair(_u14330, _u14330), _u14332), _u14334)), _u14336)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_acyclic__insert ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_acyclic__insert-1, axiom, ( ~c_Wellfounded_Oacyclic(_u14341, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14341, _u14341)), hAPP(hAPP(c_Product__Type_OPair(_u14341, _u14341), _u14343), _u14345)), _u14347)) | c_Wellfounded_Oacyclic(_u14341, _u14347) )).
% 12.54/12.73 cnf(fact_acyclic__insert-2, axiom, ( ~c_Wellfounded_Oacyclic(_u14341, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14341, _u14341)), hAPP(hAPP(c_Product__Type_OPair(_u14341, _u14341), _u14343), _u14345)), _u14347)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14341, _u14341)), hAPP(hAPP(c_Product__Type_OPair(_u14341, _u14341), _u14345), _u14343)), c_Transitive__Closure_Ortrancl(_u14341, _u14347))) )).
% 12.54/12.73 cnf(fact_acyclic__insert-3, axiom, ( ~c_Wellfounded_Oacyclic(_u14342, _u14348) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14342, _u14342)), hAPP(hAPP(c_Product__Type_OPair(_u14342, _u14342), _u14346), _u14344)), c_Transitive__Closure_Ortrancl(_u14342, _u14348))) | c_Wellfounded_Oacyclic(_u14342, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14342, _u14342)), hAPP(hAPP(c_Product__Type_OPair(_u14342, _u14342), _u14344), _u14346)), _u14348)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_refl__reflcl ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_refl__reflcl-1, axiom, ( c_Relation_Orefl__on(_u14349, c_Orderings_Otop__class_Otop(tc_fun(_u14349, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14349, _u14349), tc_HOL_Obool)), _u14350), c_Relation_OId(_u14349))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_Id__def ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_Id__def-1, axiom, ( ( c_Relation_OId(_u14351) = hAPP(c_Set_OCollect(tc_prod(_u14351, _u14351)), hAPP(hAPP(c_COMBB(tc_fun(_u14351, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u14351, _u14351)), c_HOL_OEx(_u14351)), hAPP(hAPP(c_COMBC(tc_prod(_u14351, _u14351), tc_fun(_u14351, tc_prod(_u14351, _u14351)), tc_fun(_u14351, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14351, _u14351), tc_HOL_Obool), tc_fun(tc_fun(_u14351, tc_prod(_u14351, _u14351)), tc_fun(_u14351, tc_HOL_Obool)), tc_prod(_u14351, _u14351)), c_COMBB(tc_prod(_u14351, _u14351), tc_HOL_Obool, _u14351)), c_fequal)), hAPP(hAPP(c_COMBS(_u14351, _u14351, tc_prod(_u14351, _u14351)), c_Product__Type_OPair(_u14351, _u14351)), c_COMBI(_u14351)))))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_irrefl__diff__Id ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_irrefl__diff__Id-1, axiom, ( c_Relation_Oirrefl(_u14352, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14352, _u14352), tc_HOL_Obool)), _u14353), c_Relation_OId(_u14352))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_pred__nat__trancl__eq__le ( axiom ) converted to clauses:
% 12.54/12.73 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), _u14356), _u14358)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14356), _u14358)) )).
% 12.54/12.73 cnf(fact_pred__nat__trancl__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14357), _u14359)) | 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), _u14357), _u14359)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_trancl__subset__Sigma__aux ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_trancl__subset__Sigma__aux-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14360, _u14360)), hAPP(hAPP(c_Product__Type_OPair(_u14360, _u14360), _u14361), _u14362)), c_Transitive__Closure_Ortrancl(_u14360, _u14363))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14360, _u14360), tc_HOL_Obool)), _u14363), hAPP(hAPP(c_Product__Type_OSigma(_u14360, _u14360), _u14364), hAPP(c_COMBK(tc_fun(_u14360, tc_HOL_Obool), _u14360), _u14364)))) | ( _u14361 = _u14362) | hBOOL(hAPP(hAPP(c_member(_u14360), _u14361), _u14364)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_irrefl__tranclI ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_irrefl__tranclI-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14365, _u14365), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14365, _u14365), _u14366)), c_Transitive__Closure_Ortrancl(_u14365, _u14366)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14365, _u14365), tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14365, _u14365)), hAPP(hAPP(c_Product__Type_OPair(_u14365, _u14365), _u14367), _u14367)), c_Transitive__Closure_Otrancl(_u14365, _u14366))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_sequence__trans ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_sequence__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14369, _u14369)), hAPP(hAPP(c_Product__Type_OPair(_u14369, _u14369), hAPP(_u14370, hAPP(c_Nat_OSuc, skolem380(_u14373, _u14372, _u14371, _u14370, _u14369)))), hAPP(_u14370, skolem380(_u14373, _u14372, _u14371, _u14370, _u14369)))), c_Transitive__Closure_Ortrancl(_u14369, _u14371))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14369, _u14369)), hAPP(hAPP(c_Product__Type_OPair(_u14369, _u14369), hAPP(_u14370, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14372), _u14373))), hAPP(_u14370, _u14372))), c_Transitive__Closure_Ortrancl(_u14369, _u14371))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rtrancl__converse ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rtrancl__converse-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14374, hAPP(c_Relation_Oconverse(_u14374, _u14374), _u14375)) = hAPP(c_Relation_Oconverse(_u14374, _u14374), c_Transitive__Closure_Ortrancl(_u14374, _u14375))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_converse__Id ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_converse__Id-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14376, _u14376), c_Relation_OId(_u14376)) = c_Relation_OId(_u14376)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_converse__INTER ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_converse__INTER-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14377, _u14378), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14379, tc_fun(tc_prod(_u14377, _u14378), tc_HOL_Obool)), _u14380), _u14381)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14379, tc_fun(tc_prod(_u14378, _u14377), tc_HOL_Obool)), _u14380), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14377, _u14378), tc_HOL_Obool), tc_fun(tc_prod(_u14378, _u14377), tc_HOL_Obool), _u14379), c_Relation_Oconverse(_u14377, _u14378)), _u14381))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_converse__UNION ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_converse__UNION-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14382, _u14383), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14384, tc_fun(tc_prod(_u14382, _u14383), tc_HOL_Obool)), _u14385), _u14386)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14384, tc_fun(tc_prod(_u14383, _u14382), tc_HOL_Obool)), _u14385), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14382, _u14383), tc_HOL_Obool), tc_fun(tc_prod(_u14383, _u14382), tc_HOL_Obool), _u14384), c_Relation_Oconverse(_u14382, _u14383)), _u14386))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_converse__iff ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_converse__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14392, _u14394)), hAPP(hAPP(c_Product__Type_OPair(_u14392, _u14394), _u14396), _u14398)), hAPP(c_Relation_Oconverse(_u14394, _u14392), _u14400))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14394, _u14392)), hAPP(hAPP(c_Product__Type_OPair(_u14394, _u14392), _u14398), _u14396)), _u14400)) )).
% 12.54/12.73 cnf(fact_converse__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14395, _u14393)), hAPP(hAPP(c_Product__Type_OPair(_u14395, _u14393), _u14399), _u14397)), _u14401)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14393, _u14395)), hAPP(hAPP(c_Product__Type_OPair(_u14393, _u14395), _u14397), _u14399)), hAPP(c_Relation_Oconverse(_u14395, _u14393), _u14401))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_converseI ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14402, _u14403)), hAPP(hAPP(c_Product__Type_OPair(_u14402, _u14403), _u14404), _u14405)), _u14406)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14403, _u14402)), hAPP(hAPP(c_Product__Type_OPair(_u14403, _u14402), _u14405), _u14404)), hAPP(c_Relation_Oconverse(_u14402, _u14403), _u14406))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_converseD ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14407, _u14408)), hAPP(hAPP(c_Product__Type_OPair(_u14407, _u14408), _u14409), _u14410)), hAPP(c_Relation_Oconverse(_u14408, _u14407), _u14411))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14408, _u14407)), hAPP(hAPP(c_Product__Type_OPair(_u14408, _u14407), _u14410), _u14409)), _u14411)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_converse__rel__comp ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_converse__rel__comp-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14412, _u14413), hAPP(hAPP(c_Relation_Orel__comp(_u14412, _u14414, _u14413), _u14415), _u14416)) = hAPP(hAPP(c_Relation_Orel__comp(_u14413, _u14414, _u14412), hAPP(c_Relation_Oconverse(_u14414, _u14413), _u14416)), hAPP(c_Relation_Oconverse(_u14412, _u14414), _u14415))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_converse__Un ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_converse__Un-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14417, _u14418), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14417, _u14418), tc_HOL_Obool)), _u14419), _u14420)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14418, _u14417), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14417, _u14418), _u14419)), hAPP(c_Relation_Oconverse(_u14417, _u14418), _u14420))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_Field__converse ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_Field__converse-1, axiom, ( ( hAPP(c_Relation_OField(_u14421), hAPP(c_Relation_Oconverse(_u14421, _u14421), _u14422)) = hAPP(c_Relation_OField(_u14421), _u14422)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_converse__inv__image ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_converse__inv__image-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14423, _u14423), hAPP(hAPP(c_Relation_Oinv__image(_u14424, _u14423), _u14425), _u14426)) = hAPP(hAPP(c_Relation_Oinv__image(_u14424, _u14423), hAPP(c_Relation_Oconverse(_u14424, _u14424), _u14425)), _u14426)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_converse__converse ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_converse__converse-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14427, _u14428), hAPP(c_Relation_Oconverse(_u14428, _u14427), _u14429)) = _u14429) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_converse__Int ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_converse__Int-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14430, _u14431), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14430, _u14431), tc_HOL_Obool)), _u14432), _u14433)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14431, _u14430), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14430, _u14431), _u14432)), hAPP(c_Relation_Oconverse(_u14430, _u14431), _u14433))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_finite__converse ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_finite__converse-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14437, _u14439)), hAPP(c_Relation_Oconverse(_u14439, _u14437), _u14441))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14439, _u14437)), _u14441)) )).
% 12.54/12.73 cnf(fact_finite__converse-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14440, _u14438)), _u14442)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14438, _u14440)), hAPP(c_Relation_Oconverse(_u14440, _u14438), _u14442))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_converse__Id__on ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_converse__Id__on-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14443, _u14443), c_Relation_OId__on(_u14443, _u14444)) = c_Relation_OId__on(_u14443, _u14444)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_acyclic__converse ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_acyclic__converse-1, axiom, ( ~c_Wellfounded_Oacyclic(_u14447, hAPP(c_Relation_Oconverse(_u14447, _u14447), _u14449)) | c_Wellfounded_Oacyclic(_u14447, _u14449) )).
% 12.54/12.73 cnf(fact_acyclic__converse-2, axiom, ( ~c_Wellfounded_Oacyclic(_u14448, _u14450) | c_Wellfounded_Oacyclic(_u14448, hAPP(c_Relation_Oconverse(_u14448, _u14448), _u14450)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_refl__on__converse ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_refl__on__converse-1, axiom, ( ~c_Relation_Orefl__on(_u14454, _u14456, hAPP(c_Relation_Oconverse(_u14454, _u14454), _u14458)) | c_Relation_Orefl__on(_u14454, _u14456, _u14458) )).
% 12.54/12.73 cnf(fact_refl__on__converse-2, axiom, ( ~c_Relation_Orefl__on(_u14455, _u14457, _u14459) | c_Relation_Orefl__on(_u14455, _u14457, hAPP(c_Relation_Oconverse(_u14455, _u14455), _u14459)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_trancl__converse ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_trancl__converse-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14460, hAPP(c_Relation_Oconverse(_u14460, _u14460), _u14461)) = hAPP(c_Relation_Oconverse(_u14460, _u14460), c_Transitive__Closure_Otrancl(_u14460, _u14461))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_wf__converse__trancl ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_wf__converse__trancl-1, axiom, ( ~c_Wellfounded_Owf(_u14462, hAPP(c_Relation_Oconverse(_u14462, _u14462), _u14463)) | c_Wellfounded_Owf(_u14462, hAPP(c_Relation_Oconverse(_u14462, _u14462), c_Transitive__Closure_Otrancl(_u14462, _u14463))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_equiv__comp__eq ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_equiv__comp__eq-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u14464, _u14465, _u14466) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14464, _u14464, _u14464), hAPP(c_Relation_Oconverse(_u14464, _u14464), _u14466)), _u14466) = _u14466) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_Range__converse ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_Range__converse-1, axiom, ( ( hAPP(c_Relation_ORange(_u14467, _u14468), hAPP(c_Relation_Oconverse(_u14468, _u14467), _u14469)) = hAPP(c_Relation_ODomain(_u14468, _u14467), _u14469)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_Domain__converse ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_Domain__converse-1, axiom, ( ( hAPP(c_Relation_ODomain(_u14470, _u14471), hAPP(c_Relation_Oconverse(_u14471, _u14470), _u14472)) = hAPP(c_Relation_ORange(_u14471, _u14470), _u14472)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_Range__def ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_Range__def-1, axiom, ( ( hAPP(c_Relation_ORange(_u14473, _u14474), _u14475) = hAPP(c_Relation_ODomain(_u14474, _u14473), hAPP(c_Relation_Oconverse(_u14473, _u14474), _u14475))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rtrancl__converseD ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rtrancl__converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14476, _u14476)), hAPP(hAPP(c_Product__Type_OPair(_u14476, _u14476), _u14477), _u14478)), c_Transitive__Closure_Ortrancl(_u14476, hAPP(c_Relation_Oconverse(_u14476, _u14476), _u14479)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14476, _u14476)), hAPP(hAPP(c_Product__Type_OPair(_u14476, _u14476), _u14478), _u14477)), c_Transitive__Closure_Ortrancl(_u14476, _u14479))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rtrancl__converseI ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rtrancl__converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14480, _u14480)), hAPP(hAPP(c_Product__Type_OPair(_u14480, _u14480), _u14481), _u14482)), c_Transitive__Closure_Ortrancl(_u14480, _u14483))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14480, _u14480)), hAPP(hAPP(c_Product__Type_OPair(_u14480, _u14480), _u14482), _u14481)), c_Transitive__Closure_Ortrancl(_u14480, hAPP(c_Relation_Oconverse(_u14480, _u14480), _u14483)))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_trancl__converseD ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_trancl__converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14484, _u14484)), hAPP(hAPP(c_Product__Type_OPair(_u14484, _u14484), _u14485), _u14486)), c_Transitive__Closure_Otrancl(_u14484, hAPP(c_Relation_Oconverse(_u14484, _u14484), _u14487)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14484, _u14484)), hAPP(hAPP(c_Product__Type_OPair(_u14484, _u14484), _u14485), _u14486)), hAPP(c_Relation_Oconverse(_u14484, _u14484), c_Transitive__Closure_Otrancl(_u14484, _u14487)))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_trancl__converseI ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_trancl__converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14488, _u14488)), hAPP(hAPP(c_Product__Type_OPair(_u14488, _u14488), _u14489), _u14490)), hAPP(c_Relation_Oconverse(_u14488, _u14488), c_Transitive__Closure_Otrancl(_u14488, _u14491)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14488, _u14488)), hAPP(hAPP(c_Product__Type_OPair(_u14488, _u14488), _u14489), _u14490)), c_Transitive__Closure_Otrancl(_u14488, hAPP(c_Relation_Oconverse(_u14488, _u14488), _u14491)))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_Image__subset__eq ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_Image__subset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14497, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14499, _u14497, _u14501), _u14503)), _u14505)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14499, tc_HOL_Obool)), _u14503), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14499, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14497, _u14499, hAPP(c_Relation_Oconverse(_u14499, _u14497), _u14501)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14497, tc_HOL_Obool)), _u14505))))) )).
% 12.54/12.73 cnf(fact_Image__subset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14500, tc_HOL_Obool)), _u14504), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14500, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14498, _u14500, hAPP(c_Relation_Oconverse(_u14500, _u14498), _u14502)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14498, tc_HOL_Obool)), _u14506))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14498, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14500, _u14498, _u14502), _u14504)), _u14506)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_refl__on__comp__subset ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_refl__on__comp__subset-1, axiom, ( ~c_Relation_Orefl__on(_u14507, _u14508, _u14509) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14507, _u14507), tc_HOL_Obool)), _u14509), hAPP(hAPP(c_Relation_Orel__comp(_u14507, _u14507, _u14507), hAPP(c_Relation_Oconverse(_u14507, _u14507), _u14509)), _u14509))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_comp__equivI ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_comp__equivI-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14510, _u14510, _u14510), hAPP(c_Relation_Oconverse(_u14510, _u14510), _u14511)), _u14511) != _u14511) | ( hAPP(c_Relation_ODomain(_u14510, _u14510), _u14511) != _u14512) | c_Equiv__Relations_Oequiv(_u14510, _u14512, _u14511) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_finite__acyclic__wf__converse ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_finite__acyclic__wf__converse-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14513, _u14513)), _u14514)) | ~c_Wellfounded_Oacyclic(_u14513, _u14514) | c_Wellfounded_Owf(_u14513, hAPP(c_Relation_Oconverse(_u14513, _u14513), _u14514)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_converse__def ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_converse__def-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14515, _u14516), _u14517) = hAPP(c_Set_OCollect(tc_prod(_u14516, _u14515)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14516, _u14515, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14516, tc_fun(tc_prod(_u14515, _u14516), tc_HOL_Obool), tc_fun(_u14515, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14515, tc_fun(tc_fun(tc_prod(_u14515, _u14516), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14515, _u14516), tc_HOL_Obool), tc_fun(_u14515, tc_HOL_Obool)), _u14516), c_COMBC(_u14515, tc_fun(tc_prod(_u14515, _u14516), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14515, tc_prod(_u14515, _u14516)), tc_fun(_u14515, tc_fun(tc_fun(tc_prod(_u14515, _u14516), tc_HOL_Obool), tc_HOL_Obool)), _u14516), hAPP(c_COMBB(tc_prod(_u14515, _u14516), tc_fun(tc_fun(tc_prod(_u14515, _u14516), tc_HOL_Obool), tc_HOL_Obool), _u14515), c_member(tc_prod(_u14515, _u14516)))), hAPP(c_COMBC(_u14515, _u14516, tc_prod(_u14515, _u14516)), c_Product__Type_OPair(_u14515, _u14516))))), _u14517)))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_Image__INT__eq ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_Image__INT__eq-1, axiom, ( ~c_Relation_Osingle__valued(_u14518, _u14519, hAPP(c_Relation_Oconverse(_u14519, _u14518), _u14520)) | ( _u14521 = c_Orderings_Obot__class_Obot(tc_fun(_u14522, tc_HOL_Obool))) | ( hAPP(c_Relation_OImage(_u14519, _u14518, _u14520), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14522, tc_fun(_u14519, tc_HOL_Obool)), _u14521), _u14523)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14522, tc_fun(_u14518, tc_HOL_Obool)), _u14521), hAPP(hAPP(c_COMBB(tc_fun(_u14519, tc_HOL_Obool), tc_fun(_u14518, tc_HOL_Obool), _u14522), c_Relation_OImage(_u14519, _u14518, _u14520)), _u14523))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_total__on__diff__Id ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_total__on__diff__Id-1, axiom, ( ~c_Relation_Ototal__on(_u14527, _u14529, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14527, _u14527), tc_HOL_Obool)), _u14531), c_Relation_OId(_u14527))) | c_Relation_Ototal__on(_u14527, _u14529, _u14531) )).
% 12.54/12.73 cnf(fact_total__on__diff__Id-2, axiom, ( ~c_Relation_Ototal__on(_u14528, _u14530, _u14532) | c_Relation_Ototal__on(_u14528, _u14530, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14528, _u14528), tc_HOL_Obool)), _u14532), c_Relation_OId(_u14528))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_single__valued__Id ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_single__valued__Id-1, axiom, ( c_Relation_Osingle__valued(_u14533, _u14533, c_Relation_OId(_u14533)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_single__valued__rel__comp ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_single__valued__rel__comp-1, axiom, ( ~c_Relation_Osingle__valued(_u14534, _u14535, _u14536) | ~c_Relation_Osingle__valued(_u14535, _u14537, _u14538) | c_Relation_Osingle__valued(_u14534, _u14537, hAPP(hAPP(c_Relation_Orel__comp(_u14534, _u14535, _u14537), _u14536), _u14538)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_single__valued__subset ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_single__valued__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14539, _u14540), tc_HOL_Obool)), _u14541), _u14542)) | ~c_Relation_Osingle__valued(_u14539, _u14540, _u14542) | c_Relation_Osingle__valued(_u14539, _u14540, _u14541) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_single__valued__Id__on ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_single__valued__Id__on-1, axiom, ( c_Relation_Osingle__valued(_u14543, _u14543, c_Relation_OId__on(_u14543, _u14544)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_total__on__empty ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_total__on__empty-1, axiom, ( c_Relation_Ototal__on(_u14545, c_Orderings_Obot__class_Obot(tc_fun(_u14545, tc_HOL_Obool)), _u14546) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_total__on__converse ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_total__on__converse-1, axiom, ( ~c_Relation_Ototal__on(_u14550, _u14552, hAPP(c_Relation_Oconverse(_u14550, _u14550), _u14554)) | c_Relation_Ototal__on(_u14550, _u14552, _u14554) )).
% 12.54/12.73 cnf(fact_total__on__converse-2, axiom, ( ~c_Relation_Ototal__on(_u14551, _u14553, _u14555) | c_Relation_Ototal__on(_u14551, _u14553, hAPP(c_Relation_Oconverse(_u14551, _u14551), _u14555)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_single__valuedD ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_single__valuedD-1, axiom, ( ~c_Relation_Osingle__valued(_u14556, _u14557, _u14558) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14556, _u14557)), hAPP(hAPP(c_Product__Type_OPair(_u14556, _u14557), _u14559), _u14560)), _u14558)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14556, _u14557)), hAPP(hAPP(c_Product__Type_OPair(_u14556, _u14557), _u14559), _u14561)), _u14558)) | ( _u14560 = _u14561) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_single__valued__def ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_single__valued__def-1, axiom, ( ~c_Relation_Osingle__valued(_u14571, _u14573, _u14575) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14571, _u14573)), hAPP(hAPP(c_Product__Type_OPair(_u14571, _u14573), _u14564), _u14563)), _u14575)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14571, _u14573)), hAPP(hAPP(c_Product__Type_OPair(_u14571, _u14573), _u14564), _u14562)), _u14575)) | ( _u14563 = _u14562) )).
% 12.54/12.73 cnf(fact_single__valued__def-2, axiom, ( c_Relation_Osingle__valued(_u14572, _u14574, _u14576) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14572, _u14574)), hAPP(hAPP(c_Product__Type_OPair(_u14572, _u14574), skolem381(_u14576, _u14574, _u14572)), skolem382(_u14576, _u14574, _u14572))), _u14576)) )).
% 12.54/12.73 cnf(fact_single__valued__def-3, axiom, ( c_Relation_Osingle__valued(_u14572, _u14574, _u14576) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14572, _u14574)), hAPP(hAPP(c_Product__Type_OPair(_u14572, _u14574), skolem381(_u14576, _u14574, _u14572)), skolem383(_u14576, _u14574, _u14572))), _u14576)) )).
% 12.54/12.73 cnf(fact_single__valued__def-4, axiom, ( c_Relation_Osingle__valued(_u14572, _u14574, _u14576) | ( skolem382(_u14576, _u14574, _u14572) != skolem383(_u14576, _u14574, _u14572)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_total__on__def ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_total__on__def-1, axiom, ( ~c_Relation_Ototal__on(_u14584, _u14586, _u14588) | ~hBOOL(hAPP(hAPP(c_member(_u14584), _u14578), _u14586)) | ~hBOOL(hAPP(hAPP(c_member(_u14584), _u14577), _u14586)) | ( _u14578 = _u14577) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14584, _u14584)), hAPP(hAPP(c_Product__Type_OPair(_u14584, _u14584), _u14578), _u14577)), _u14588)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14584, _u14584)), hAPP(hAPP(c_Product__Type_OPair(_u14584, _u14584), _u14577), _u14578)), _u14588)) )).
% 12.54/12.73 cnf(fact_total__on__def-2, axiom, ( c_Relation_Ototal__on(_u14585, _u14587, _u14589) | hBOOL(hAPP(hAPP(c_member(_u14585), skolem384(_u14589, _u14587, _u14585)), _u14587)) )).
% 12.54/12.73 cnf(fact_total__on__def-3, axiom, ( c_Relation_Ototal__on(_u14585, _u14587, _u14589) | hBOOL(hAPP(hAPP(c_member(_u14585), skolem385(_u14589, _u14587, _u14585)), _u14587)) )).
% 12.54/12.73 cnf(fact_total__on__def-4, axiom, ( c_Relation_Ototal__on(_u14585, _u14587, _u14589) | ( skolem384(_u14589, _u14587, _u14585) != skolem385(_u14589, _u14587, _u14585)) )).
% 12.54/12.73 cnf(fact_total__on__def-5, axiom, ( c_Relation_Ototal__on(_u14585, _u14587, _u14589) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14585, _u14585)), hAPP(hAPP(c_Product__Type_OPair(_u14585, _u14585), skolem384(_u14589, _u14587, _u14585)), skolem385(_u14589, _u14587, _u14585))), _u14589)) )).
% 12.54/12.73 cnf(fact_total__on__def-6, axiom, ( c_Relation_Ototal__on(_u14585, _u14587, _u14589) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14585, _u14585)), hAPP(hAPP(c_Product__Type_OPair(_u14585, _u14585), skolem385(_u14589, _u14587, _u14585)), skolem384(_u14589, _u14587, _u14585))), _u14589)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_single__valued__confluent ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_single__valued__confluent-1, axiom, ( ~c_Relation_Osingle__valued(_u14590, _u14590, _u14591) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14590, _u14590)), hAPP(hAPP(c_Product__Type_OPair(_u14590, _u14590), _u14592), _u14593)), c_Transitive__Closure_Ortrancl(_u14590, _u14591))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14590, _u14590)), hAPP(hAPP(c_Product__Type_OPair(_u14590, _u14590), _u14592), _u14594)), c_Transitive__Closure_Ortrancl(_u14590, _u14591))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14590, _u14590)), hAPP(hAPP(c_Product__Type_OPair(_u14590, _u14590), _u14593), _u14594)), c_Transitive__Closure_Ortrancl(_u14590, _u14591))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14590, _u14590)), hAPP(hAPP(c_Product__Type_OPair(_u14590, _u14590), _u14594), _u14593)), c_Transitive__Closure_Ortrancl(_u14590, _u14591))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_Image__Int__eq ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_Image__Int__eq-1, axiom, ( ~c_Relation_Osingle__valued(_u14595, _u14596, hAPP(c_Relation_Oconverse(_u14596, _u14595), _u14597)) | ( hAPP(c_Relation_OImage(_u14596, _u14595, _u14597), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14596, tc_HOL_Obool)), _u14598), _u14599)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14595, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14596, _u14595, _u14597), _u14598)), hAPP(c_Relation_OImage(_u14596, _u14595, _u14597), _u14599))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rtrancl__imp__UN__rel__pow ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rtrancl__imp__UN__rel__pow-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14600, _u14600)), _u14601), c_Transitive__Closure_Ortrancl(_u14600, _u14602))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14600, _u14600)), _u14601), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u14600, _u14600), 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(_u14600, _u14600), tc_HOL_Obool), tc_fun(tc_prod(_u14600, _u14600), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u14600, _u14600), tc_HOL_Obool)), _u14602)))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_acyclicI ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_acyclicI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14604, _u14604)), hAPP(hAPP(c_Product__Type_OPair(_u14604, _u14604), skolem386(_u14605, _u14604)), skolem386(_u14605, _u14604))), c_Transitive__Closure_Otrancl(_u14604, _u14605))) | c_Wellfounded_Oacyclic(_u14604, _u14605) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_single__valued__rel__pow ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_single__valued__rel__pow-1, axiom, ( ~c_Relation_Osingle__valued(_u14606, _u14606, _u14607) | c_Relation_Osingle__valued(_u14606, _u14606, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14606, _u14606), tc_HOL_Obool), _u14608), _u14607)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_funpow__swap1 ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_funpow__swap1-1, axiom, ( ( hAPP(_u14609, hAPP(hAPP(hAPP(c_Nat_Ocompow(_u14610, _u14610), _u14611), _u14609), _u14612)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(_u14610, _u14610), _u14611), _u14609), hAPP(_u14609, _u14612))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_funpow__mult ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_funpow__mult-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14613, _u14613), _u14614), hAPP(hAPP(c_Nat_Ocompow(_u14613, _u14613), _u14615), _u14616)) = hAPP(hAPP(c_Nat_Ocompow(_u14613, _u14613), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u14615), _u14614)), _u14616)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_wf__exp ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_wf__exp-1, axiom, ( ~c_Wellfounded_Owf(_u14617, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14617, _u14617), tc_HOL_Obool), _u14618), _u14619)) | c_Wellfounded_Owf(_u14617, _u14619) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_comp__funpow ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_comp__funpow-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_fun(_u14620, _u14621), tc_fun(_u14620, _u14621)), _u14622), c_Fun_Ocomp(_u14621, _u14621, _u14620, _u14623)) = c_Fun_Ocomp(_u14621, _u14621, _u14620, hAPP(hAPP(c_Nat_Ocompow(_u14621, _u14621), _u14622), _u14623))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rel__pow__1 ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rel__pow__1-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14624, _u14624), tc_HOL_Obool), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u14625) = _u14625) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rel__pow__commute ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rel__pow__commute-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14626, _u14626, _u14626), _u14627), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14626, _u14626), tc_HOL_Obool), _u14628), _u14627)) = hAPP(hAPP(c_Relation_Orel__comp(_u14626, _u14626, _u14626), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14626, _u14626), tc_HOL_Obool), _u14628), _u14627)), _u14627)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rtrancl__power ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rtrancl__power-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14634, _u14634)), _u14636), c_Transitive__Closure_Ortrancl(_u14634, _u14638))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14634, _u14634)), _u14636), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14634, _u14634), tc_HOL_Obool), skolem387(_u14638, _u14636, _u14634)), _u14638))) )).
% 12.54/12.73 cnf(fact_rtrancl__power-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14635, _u14635)), _u14637), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14635, _u14635), tc_HOL_Obool), _u14630), _u14639))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14635, _u14635)), _u14637), c_Transitive__Closure_Ortrancl(_u14635, _u14639))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rel__pow__imp__rtrancl ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rel__pow__imp__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14640, _u14640)), _u14641), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14640, _u14640), tc_HOL_Obool), _u14642), _u14643))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14640, _u14640)), _u14641), c_Transitive__Closure_Ortrancl(_u14640, _u14643))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_relpow_Osimps_I2_J ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_relpow_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14644, _u14644), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14645)), _u14646) = hAPP(hAPP(c_Relation_Orel__comp(_u14644, _u14644, _u14644), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14644, _u14644), tc_HOL_Obool), _u14645), _u14646)), _u14646)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rel__pow__add ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rel__pow__add-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14647, _u14647), tc_HOL_Obool), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14648), _u14649)), _u14650) = hAPP(hAPP(c_Relation_Orel__comp(_u14647, _u14647, _u14647), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14647, _u14647), tc_HOL_Obool), _u14648), _u14650)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14647, _u14647), tc_HOL_Obool), _u14649), _u14650))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_relpow_Osimps_I1_J ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_relpow_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14651, _u14651), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14652) = c_Relation_OId(_u14651)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rel__pow__0__E ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rel__pow__0__E-1, axiom, ( ( _u14654 = _u14655) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14653, _u14653)), hAPP(hAPP(c_Product__Type_OPair(_u14653, _u14653), _u14654), _u14655)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14653, _u14653), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14656))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rel__pow__0__I ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rel__pow__0__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14657, _u14657)), hAPP(hAPP(c_Product__Type_OPair(_u14657, _u14657), _u14658), _u14658)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14657, _u14657), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14659))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rel__pow__Suc__I2 ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rel__pow__Suc__I2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14660, _u14660)), hAPP(hAPP(c_Product__Type_OPair(_u14660, _u14660), _u14661), _u14662)), _u14663)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14660, _u14660)), hAPP(hAPP(c_Product__Type_OPair(_u14660, _u14660), _u14662), _u14664)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14660, _u14660), tc_HOL_Obool), _u14665), _u14663))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14660, _u14660)), hAPP(hAPP(c_Product__Type_OPair(_u14660, _u14660), _u14661), _u14664)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14660, _u14660), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14665)), _u14663))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rel__pow__Suc__I ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rel__pow__Suc__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14666, _u14666)), hAPP(hAPP(c_Product__Type_OPair(_u14666, _u14666), _u14667), _u14668)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14666, _u14666), tc_HOL_Obool), _u14669), _u14670))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14666, _u14666)), hAPP(hAPP(c_Product__Type_OPair(_u14666, _u14666), _u14668), _u14671)), _u14670)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14666, _u14666)), hAPP(hAPP(c_Product__Type_OPair(_u14666, _u14666), _u14667), _u14671)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14666, _u14666), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14669)), _u14670))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_funpow_Osimps_I2_J ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_funpow_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14672, _u14672), hAPP(c_Nat_OSuc, _u14673)), _u14674) = hAPP(c_Fun_Ocomp(_u14672, _u14672, _u14672, _u14674), hAPP(hAPP(c_Nat_Ocompow(_u14672, _u14672), _u14673), _u14674))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_funpow__add ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_funpow__add-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14675, _u14675), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14676), _u14677)), _u14678) = hAPP(c_Fun_Ocomp(_u14675, _u14675, _u14675, hAPP(hAPP(c_Nat_Ocompow(_u14675, _u14675), _u14676), _u14678)), hAPP(hAPP(c_Nat_Ocompow(_u14675, _u14675), _u14677), _u14678))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_funpow_Osimps_I1_J ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_funpow_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14679, _u14679), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14680) = c_Fun_Oid(_u14679)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_trancl__power ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_trancl__power-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14686, _u14686)), _u14688), c_Transitive__Closure_Otrancl(_u14686, _u14690))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem388(_u14690, _u14688, _u14686))) )).
% 12.54/12.73 cnf(fact_trancl__power-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14686, _u14686)), _u14688), c_Transitive__Closure_Otrancl(_u14686, _u14690))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14686, _u14686)), _u14688), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14686, _u14686), tc_HOL_Obool), skolem388(_u14690, _u14688, _u14686)), _u14690))) )).
% 12.54/12.73 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)), _u14682)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14687, _u14687)), _u14689), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14687, _u14687), tc_HOL_Obool), _u14682), _u14691))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14687, _u14687)), _u14689), c_Transitive__Closure_Otrancl(_u14687, _u14691))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rtrancl__is__UN__rel__pow ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rtrancl__is__UN__rel__pow-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14692, _u14693) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u14692, _u14692), 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(_u14692, _u14692), tc_HOL_Obool), tc_fun(tc_prod(_u14692, _u14692), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u14692, _u14692), tc_HOL_Obool)), _u14693))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_funpow__code__def ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_funpow__code__def-1, axiom, ( ( c_Nat_Ofunpow(_u14694) = c_Nat_Ocompow(_u14694, _u14694)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rel__pow__E2 ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rel__pow__E2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14697, _u14697)), hAPP(hAPP(c_Product__Type_OPair(_u14697, _u14697), _u14698), _u14699)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14697, _u14697), tc_HOL_Obool), _u14700), _u14701))) | ( _u14700 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u14700 = hAPP(c_Nat_OSuc, skolem390(_u14701, _u14700, _u14699, _u14698, _u14697))) )).
% 12.54/12.73 cnf(fact_rel__pow__E2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14697, _u14697)), hAPP(hAPP(c_Product__Type_OPair(_u14697, _u14697), _u14698), _u14699)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14697, _u14697), tc_HOL_Obool), _u14700), _u14701))) | ( _u14700 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14697, _u14697)), hAPP(hAPP(c_Product__Type_OPair(_u14697, _u14697), _u14698), skolem389(_u14701, _u14700, _u14699, _u14698, _u14697))), _u14701)) )).
% 12.54/12.73 cnf(fact_rel__pow__E2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14697, _u14697)), hAPP(hAPP(c_Product__Type_OPair(_u14697, _u14697), _u14698), _u14699)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14697, _u14697), tc_HOL_Obool), _u14700), _u14701))) | ( _u14700 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14697, _u14697)), hAPP(hAPP(c_Product__Type_OPair(_u14697, _u14697), skolem389(_u14701, _u14700, _u14699, _u14698, _u14697)), _u14699)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14697, _u14697), tc_HOL_Obool), skolem390(_u14701, _u14700, _u14699, _u14698, _u14697)), _u14701))) )).
% 12.54/12.73 cnf(fact_rel__pow__E2-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14697, _u14697)), hAPP(hAPP(c_Product__Type_OPair(_u14697, _u14697), _u14698), _u14699)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14697, _u14697), tc_HOL_Obool), _u14700), _u14701))) | ( _u14698 = _u14699) | ( _u14700 = hAPP(c_Nat_OSuc, skolem390(_u14701, _u14700, _u14699, _u14698, _u14697))) )).
% 12.54/12.73 cnf(fact_rel__pow__E2-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14697, _u14697)), hAPP(hAPP(c_Product__Type_OPair(_u14697, _u14697), _u14698), _u14699)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14697, _u14697), tc_HOL_Obool), _u14700), _u14701))) | ( _u14698 = _u14699) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14697, _u14697)), hAPP(hAPP(c_Product__Type_OPair(_u14697, _u14697), _u14698), skolem389(_u14701, _u14700, _u14699, _u14698, _u14697))), _u14701)) )).
% 12.54/12.73 cnf(fact_rel__pow__E2-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14697, _u14697)), hAPP(hAPP(c_Product__Type_OPair(_u14697, _u14697), _u14698), _u14699)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14697, _u14697), tc_HOL_Obool), _u14700), _u14701))) | ( _u14698 = _u14699) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14697, _u14697)), hAPP(hAPP(c_Product__Type_OPair(_u14697, _u14697), skolem389(_u14701, _u14700, _u14699, _u14698, _u14697)), _u14699)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14697, _u14697), tc_HOL_Obool), skolem390(_u14701, _u14700, _u14699, _u14698, _u14697)), _u14701))) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rel__pow__E ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rel__pow__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14704, _u14704)), hAPP(hAPP(c_Product__Type_OPair(_u14704, _u14704), _u14705), _u14706)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14704, _u14704), tc_HOL_Obool), _u14707), _u14708))) | ( _u14707 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u14707 = hAPP(c_Nat_OSuc, skolem392(_u14708, _u14707, _u14706, _u14705, _u14704))) )).
% 12.54/12.73 cnf(fact_rel__pow__E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14704, _u14704)), hAPP(hAPP(c_Product__Type_OPair(_u14704, _u14704), _u14705), _u14706)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14704, _u14704), tc_HOL_Obool), _u14707), _u14708))) | ( _u14707 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14704, _u14704)), hAPP(hAPP(c_Product__Type_OPair(_u14704, _u14704), _u14705), skolem391(_u14708, _u14707, _u14706, _u14705, _u14704))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14704, _u14704), tc_HOL_Obool), skolem392(_u14708, _u14707, _u14706, _u14705, _u14704)), _u14708))) )).
% 12.54/12.73 cnf(fact_rel__pow__E-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14704, _u14704)), hAPP(hAPP(c_Product__Type_OPair(_u14704, _u14704), _u14705), _u14706)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14704, _u14704), tc_HOL_Obool), _u14707), _u14708))) | ( _u14707 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14704, _u14704)), hAPP(hAPP(c_Product__Type_OPair(_u14704, _u14704), skolem391(_u14708, _u14707, _u14706, _u14705, _u14704)), _u14706)), _u14708)) )).
% 12.54/12.73 cnf(fact_rel__pow__E-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14704, _u14704)), hAPP(hAPP(c_Product__Type_OPair(_u14704, _u14704), _u14705), _u14706)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14704, _u14704), tc_HOL_Obool), _u14707), _u14708))) | ( _u14705 = _u14706) | ( _u14707 = hAPP(c_Nat_OSuc, skolem392(_u14708, _u14707, _u14706, _u14705, _u14704))) )).
% 12.54/12.73 cnf(fact_rel__pow__E-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14704, _u14704)), hAPP(hAPP(c_Product__Type_OPair(_u14704, _u14704), _u14705), _u14706)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14704, _u14704), tc_HOL_Obool), _u14707), _u14708))) | ( _u14705 = _u14706) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14704, _u14704)), hAPP(hAPP(c_Product__Type_OPair(_u14704, _u14704), _u14705), skolem391(_u14708, _u14707, _u14706, _u14705, _u14704))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14704, _u14704), tc_HOL_Obool), skolem392(_u14708, _u14707, _u14706, _u14705, _u14704)), _u14708))) )).
% 12.54/12.73 cnf(fact_rel__pow__E-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14704, _u14704)), hAPP(hAPP(c_Product__Type_OPair(_u14704, _u14704), _u14705), _u14706)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14704, _u14704), tc_HOL_Obool), _u14707), _u14708))) | ( _u14705 = _u14706) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14704, _u14704)), hAPP(hAPP(c_Product__Type_OPair(_u14704, _u14704), skolem391(_u14708, _u14707, _u14706, _u14705, _u14704)), _u14706)), _u14708)) )).
% 12.54/12.73
% 12.54/12.73 % Formula: fact_rtrancl__Un__separatorE ( axiom ) converted to clauses:
% 12.54/12.73 cnf(fact_rtrancl__Un__separatorE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14711, _u14711)), hAPP(hAPP(c_Product__Type_OPair(_u14711, _u14711), _u14712), _u14713)), c_Transitive__Closure_Ortrancl(_u14711, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14711, _u14711), tc_HOL_Obool)), _u14714), _u14715)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14711, _u14711)), hAPP(hAPP(c_Product__Type_OPair(_u14711, _u14711), _u14712), _u14713)), c_Transitive__Closure_Ortrancl(_u14711, _u14714))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14711, _u14711)), hAPP(hAPP(c_Product__Type_OPair(_u14711, _u14711), _u14712), skolem393(_u14715, _u14714, _u14713, _u14712, _u14711))), c_Transitive__Closure_Ortrancl(_u14711, _u14714))) )).
% 12.54/12.74 cnf(fact_rtrancl__Un__separatorE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14711, _u14711)), hAPP(hAPP(c_Product__Type_OPair(_u14711, _u14711), _u14712), _u14713)), c_Transitive__Closure_Ortrancl(_u14711, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14711, _u14711), tc_HOL_Obool)), _u14714), _u14715)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14711, _u14711)), hAPP(hAPP(c_Product__Type_OPair(_u14711, _u14711), _u14712), _u14713)), c_Transitive__Closure_Ortrancl(_u14711, _u14714))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14711, _u14711)), hAPP(hAPP(c_Product__Type_OPair(_u14711, _u14711), skolem393(_u14715, _u14714, _u14713, _u14712, _u14711)), skolem394(_u14715, _u14714, _u14713, _u14712, _u14711))), _u14715)) )).
% 12.54/12.74 cnf(fact_rtrancl__Un__separatorE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14711, _u14711)), hAPP(hAPP(c_Product__Type_OPair(_u14711, _u14711), _u14712), _u14713)), c_Transitive__Closure_Ortrancl(_u14711, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14711, _u14711), tc_HOL_Obool)), _u14714), _u14715)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14711, _u14711)), hAPP(hAPP(c_Product__Type_OPair(_u14711, _u14711), _u14712), _u14713)), c_Transitive__Closure_Ortrancl(_u14711, _u14714))) | ( skolem393(_u14715, _u14714, _u14713, _u14712, _u14711) != skolem394(_u14715, _u14714, _u14713, _u14712, _u14711)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_rtrancl__Un__separator__converseE ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_rtrancl__Un__separator__converseE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14718, _u14718)), hAPP(hAPP(c_Product__Type_OPair(_u14718, _u14718), _u14719), _u14720)), c_Transitive__Closure_Ortrancl(_u14718, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14718, _u14718), tc_HOL_Obool)), _u14721), _u14722)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14718, _u14718)), hAPP(hAPP(c_Product__Type_OPair(_u14718, _u14718), _u14719), _u14720)), c_Transitive__Closure_Ortrancl(_u14718, _u14721))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14718, _u14718)), hAPP(hAPP(c_Product__Type_OPair(_u14718, _u14718), skolem395(_u14722, _u14721, _u14720, _u14719, _u14718)), _u14720)), c_Transitive__Closure_Ortrancl(_u14718, _u14721))) )).
% 12.54/12.74 cnf(fact_rtrancl__Un__separator__converseE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14718, _u14718)), hAPP(hAPP(c_Product__Type_OPair(_u14718, _u14718), _u14719), _u14720)), c_Transitive__Closure_Ortrancl(_u14718, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14718, _u14718), tc_HOL_Obool)), _u14721), _u14722)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14718, _u14718)), hAPP(hAPP(c_Product__Type_OPair(_u14718, _u14718), _u14719), _u14720)), c_Transitive__Closure_Ortrancl(_u14718, _u14721))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14718, _u14718)), hAPP(hAPP(c_Product__Type_OPair(_u14718, _u14718), skolem396(_u14722, _u14721, _u14720, _u14719, _u14718)), skolem395(_u14722, _u14721, _u14720, _u14719, _u14718))), _u14722)) )).
% 12.54/12.74 cnf(fact_rtrancl__Un__separator__converseE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14718, _u14718)), hAPP(hAPP(c_Product__Type_OPair(_u14718, _u14718), _u14719), _u14720)), c_Transitive__Closure_Ortrancl(_u14718, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14718, _u14718), tc_HOL_Obool)), _u14721), _u14722)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14718, _u14718)), hAPP(hAPP(c_Product__Type_OPair(_u14718, _u14718), _u14719), _u14720)), c_Transitive__Closure_Ortrancl(_u14718, _u14721))) | ( skolem396(_u14722, _u14721, _u14720, _u14719, _u14718) != skolem395(_u14722, _u14721, _u14720, _u14719, _u14718)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_rel__pow__Suc__D2 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_rel__pow__Suc__D2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14724, _u14724)), hAPP(hAPP(c_Product__Type_OPair(_u14724, _u14724), _u14725), _u14726)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14724, _u14724), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14727)), _u14728))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14724, _u14724)), hAPP(hAPP(c_Product__Type_OPair(_u14724, _u14724), _u14725), skolem397(_u14728, _u14727, _u14726, _u14725, _u14724))), _u14728)) )).
% 12.54/12.74 cnf(fact_rel__pow__Suc__D2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14724, _u14724)), hAPP(hAPP(c_Product__Type_OPair(_u14724, _u14724), _u14725), _u14726)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14724, _u14724), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14727)), _u14728))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14724, _u14724)), hAPP(hAPP(c_Product__Type_OPair(_u14724, _u14724), skolem397(_u14728, _u14727, _u14726, _u14725, _u14724)), _u14726)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14724, _u14724), tc_HOL_Obool), _u14727), _u14728))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_rel__pow__Suc__E ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_rel__pow__Suc__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14730, _u14730)), hAPP(hAPP(c_Product__Type_OPair(_u14730, _u14730), _u14731), _u14732)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14730, _u14730), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14733)), _u14734))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14730, _u14730)), hAPP(hAPP(c_Product__Type_OPair(_u14730, _u14730), _u14731), skolem398(_u14734, _u14733, _u14732, _u14731, _u14730))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14730, _u14730), tc_HOL_Obool), _u14733), _u14734))) )).
% 12.54/12.74 cnf(fact_rel__pow__Suc__E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14730, _u14730)), hAPP(hAPP(c_Product__Type_OPair(_u14730, _u14730), _u14731), _u14732)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14730, _u14730), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14733)), _u14734))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14730, _u14730)), hAPP(hAPP(c_Product__Type_OPair(_u14730, _u14730), skolem398(_u14734, _u14733, _u14732, _u14731, _u14730)), _u14732)), _u14734)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_rel__pow__Suc__E2 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_rel__pow__Suc__E2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14736, _u14736)), hAPP(hAPP(c_Product__Type_OPair(_u14736, _u14736), _u14737), _u14738)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14736, _u14736), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14739)), _u14740))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14736, _u14736)), hAPP(hAPP(c_Product__Type_OPair(_u14736, _u14736), _u14737), skolem399(_u14740, _u14739, _u14738, _u14737, _u14736))), _u14740)) )).
% 12.54/12.74 cnf(fact_rel__pow__Suc__E2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14736, _u14736)), hAPP(hAPP(c_Product__Type_OPair(_u14736, _u14736), _u14737), _u14738)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14736, _u14736), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14739)), _u14740))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14736, _u14736)), hAPP(hAPP(c_Product__Type_OPair(_u14736, _u14736), skolem399(_u14740, _u14739, _u14738, _u14737, _u14736)), _u14738)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14736, _u14736), tc_HOL_Obool), _u14739), _u14740))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_tranclD ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_tranclD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14742, _u14742)), hAPP(hAPP(c_Product__Type_OPair(_u14742, _u14742), _u14743), _u14744)), c_Transitive__Closure_Otrancl(_u14742, _u14745))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14742, _u14742)), hAPP(hAPP(c_Product__Type_OPair(_u14742, _u14742), _u14743), skolem400(_u14745, _u14744, _u14743, _u14742))), _u14745)) )).
% 12.54/12.74 cnf(fact_tranclD-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14742, _u14742)), hAPP(hAPP(c_Product__Type_OPair(_u14742, _u14742), _u14743), _u14744)), c_Transitive__Closure_Otrancl(_u14742, _u14745))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14742, _u14742)), hAPP(hAPP(c_Product__Type_OPair(_u14742, _u14742), skolem400(_u14745, _u14744, _u14743, _u14742)), _u14744)), c_Transitive__Closure_Ortrancl(_u14742, _u14745))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_tranclD2 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_tranclD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14747, _u14747)), hAPP(hAPP(c_Product__Type_OPair(_u14747, _u14747), _u14748), _u14749)), c_Transitive__Closure_Otrancl(_u14747, _u14750))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14747, _u14747)), hAPP(hAPP(c_Product__Type_OPair(_u14747, _u14747), _u14748), skolem401(_u14750, _u14749, _u14748, _u14747))), c_Transitive__Closure_Ortrancl(_u14747, _u14750))) )).
% 12.54/12.74 cnf(fact_tranclD2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14747, _u14747)), hAPP(hAPP(c_Product__Type_OPair(_u14747, _u14747), _u14748), _u14749)), c_Transitive__Closure_Otrancl(_u14747, _u14750))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14747, _u14747)), hAPP(hAPP(c_Product__Type_OPair(_u14747, _u14747), skolem401(_u14750, _u14749, _u14748, _u14747)), _u14749)), _u14750)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_IdE ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_IdE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14752, _u14752)), _u14753), c_Relation_OId(_u14752))) | ( _u14753 = hAPP(hAPP(c_Product__Type_OPair(_u14752, _u14752), skolem402(_u14753, _u14752)), skolem402(_u14753, _u14752))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_transfer__nat__int__set__cong ( axiom ) converted to clauses:
% 12.54/12.74 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)))), _u14755)) = 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)))), _u14756))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem403(_u14756, _u14755))) )).
% 12.54/12.74 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)))), _u14755)) = 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)))), _u14756))) | hBOOL(hAPP(_u14755, skolem403(_u14756, _u14755))) | hBOOL(hAPP(_u14756, skolem403(_u14756, _u14755))) )).
% 12.54/12.74 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)))), _u14755)) = 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)))), _u14756))) | ~hBOOL(hAPP(_u14756, skolem403(_u14756, _u14755))) | ~hBOOL(hAPP(_u14755, skolem403(_u14756, _u14755))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_converseE ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_converseE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14759, _u14760)), _u14761), hAPP(c_Relation_Oconverse(_u14760, _u14759), _u14762))) | ( _u14761 = hAPP(hAPP(c_Product__Type_OPair(_u14759, _u14760), skolem405(_u14762, _u14761, _u14760, _u14759)), skolem404(_u14762, _u14761, _u14760, _u14759))) )).
% 12.54/12.74 cnf(fact_converseE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14759, _u14760)), _u14761), hAPP(c_Relation_Oconverse(_u14760, _u14759), _u14762))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14760, _u14759)), hAPP(hAPP(c_Product__Type_OPair(_u14760, _u14759), skolem404(_u14762, _u14761, _u14760, _u14759)), skolem405(_u14762, _u14761, _u14760, _u14759))), _u14762)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_rel__compE ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_rel__compE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14766, _u14767)), _u14768), hAPP(hAPP(c_Relation_Orel__comp(_u14766, _u14769, _u14767), _u14770), _u14771))) | ( _u14768 = hAPP(hAPP(c_Product__Type_OPair(_u14766, _u14767), skolem406(_u14771, _u14770, _u14769, _u14768, _u14767, _u14766)), skolem408(_u14771, _u14770, _u14769, _u14768, _u14767, _u14766))) )).
% 12.54/12.74 cnf(fact_rel__compE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14766, _u14767)), _u14768), hAPP(hAPP(c_Relation_Orel__comp(_u14766, _u14769, _u14767), _u14770), _u14771))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14766, _u14769)), hAPP(hAPP(c_Product__Type_OPair(_u14766, _u14769), skolem406(_u14771, _u14770, _u14769, _u14768, _u14767, _u14766)), skolem407(_u14771, _u14770, _u14769, _u14768, _u14767, _u14766))), _u14770)) )).
% 12.54/12.74 cnf(fact_rel__compE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14766, _u14767)), _u14768), hAPP(hAPP(c_Relation_Orel__comp(_u14766, _u14769, _u14767), _u14770), _u14771))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14769, _u14767)), hAPP(hAPP(c_Product__Type_OPair(_u14769, _u14767), skolem407(_u14771, _u14770, _u14769, _u14768, _u14767, _u14766)), skolem408(_u14771, _u14770, _u14769, _u14768, _u14767, _u14766))), _u14771)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_Nitpick_Oplus__frac__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_Nitpick_Oplus__frac__def-1, axiom, ( ( c_Nitpick_Oplus__frac(_u14772, _u14773, _u14774) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u14772), c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(_u14772), _u14773), hAPP(c_Nitpick_Odenom(_u14772), _u14774))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, _u14772), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, _u14772), tc_Int_Oint), c_Nitpick_Ofrac(_u14772)), 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(_u14772), _u14773))), 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(_u14772), _u14773))))), 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(_u14772), _u14774))), 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(_u14772), _u14774)))))), c_COMBI(tc_Int_Oint)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_internal__split__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_internal__split__def-1, axiom, ( ( c_Product__Type_Ointernal__split(_u14775, _u14776, _u14777) = c_Product__Type_Oprod_Oprod__case(_u14775, _u14776, _u14777)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_internal__split__conv ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_internal__split__conv-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Ointernal__split(_u14778, _u14779, _u14780), _u14781), hAPP(hAPP(c_Product__Type_OPair(_u14778, _u14779), _u14782), _u14783)) = hAPP(hAPP(_u14781, _u14782), _u14783)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_Nitpick_Otimes__frac__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_Nitpick_Otimes__frac__def-1, axiom, ( ( c_Nitpick_Otimes__frac(_u14784, _u14785, _u14786) = hAPP(hAPP(c_Nitpick_Ofrac(_u14784), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14784), _u14785)), hAPP(c_Nitpick_Onum(_u14784), _u14786))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Odenom(_u14784), _u14785)), hAPP(c_Nitpick_Odenom(_u14784), _u14786)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_Nitpick_Oof__frac__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_Nitpick_Oof__frac__def-1, axiom, ( ~class_Rings_Oinverse(_u14787) | ~class_Rings_Oring__1(_u14787) | ( c_Nitpick_Oof__frac(_u14788, _u14787, _u14789) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u14787), hAPP(c_Int_Oring__1__class_Oof__int(_u14787), hAPP(c_Nitpick_Onum(_u14788), _u14789))), hAPP(c_Int_Oring__1__class_Oof__int(_u14787), hAPP(c_Nitpick_Odenom(_u14788), _u14789)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_Nitpick_Oinverse__frac__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_Nitpick_Oinverse__frac__def-1, axiom, ( ( c_Nitpick_Oinverse__frac(_u14790, _u14791) = hAPP(hAPP(c_Nitpick_Ofrac(_u14790), hAPP(c_Nitpick_Odenom(_u14790), _u14791)), hAPP(c_Nitpick_Onum(_u14790), _u14791))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_Nitpick_Ouminus__frac__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_Nitpick_Ouminus__frac__def-1, axiom, ( ( c_Nitpick_Ouminus__frac(_u14792, _u14793) = c_Nitpick_OAbs__Frac(_u14792, 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(_u14792), _u14793))), hAPP(c_Nitpick_Odenom(_u14792), _u14793)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_Nitpick_Oless__frac__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_Nitpick_Oless__frac__def-1, axiom, ( ~c_Nitpick_Oless__frac(_u14797, _u14799, _u14801) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14797), c_Nitpick_Oplus__frac(_u14797, _u14799, c_Nitpick_Ouminus__frac(_u14797, _u14801)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.74 cnf(fact_Nitpick_Oless__frac__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14798), c_Nitpick_Oplus__frac(_u14798, _u14800, c_Nitpick_Ouminus__frac(_u14798, _u14802)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__frac(_u14798, _u14800, _u14802) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_Nitpick_Oless__eq__frac__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_Nitpick_Oless__eq__frac__def-1, axiom, ( ~c_Nitpick_Oless__eq__frac(_u14806, _u14808, _u14810) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14806), c_Nitpick_Oplus__frac(_u14806, _u14808, c_Nitpick_Ouminus__frac(_u14806, _u14810)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.74 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(_u14807), c_Nitpick_Oplus__frac(_u14807, _u14809, c_Nitpick_Ouminus__frac(_u14807, _u14811)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__eq__frac(_u14807, _u14809, _u14811) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_Nitpick_Odenom__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_Nitpick_Odenom__def-1, axiom, ( ( c_Nitpick_Odenom(_u14812) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u14812, c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u14812))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_Nitpick_Onum__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_Nitpick_Onum__def-1, axiom, ( ( c_Nitpick_Onum(_u14813) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u14813, c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u14813))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_bool_Osize_I2_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_bool_Osize_I2_J-1, axiom, ( ( c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_bool_Osize_I1_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_bool_Osize_I1_J-1, axiom, ( ( c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_finite__less__ub ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_finite__less__ub-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem409(_u14816, _u14815)), hAPP(_u14815, skolem409(_u14816, _u14815)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), _u14815)), _u14816)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_lenlex__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_lenlex__def-1, axiom, ( ( c_List_Olenlex(_u14817, _u14818) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, tc_List_Olist(_u14817)), tc_List_Olist(_u14817)), c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_List_Olist(_u14817), c_Wellfounded_Oless__than, c_List_Olex(_u14817, _u14818))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14817), tc_List_Olist(_u14817), tc_prod(tc_Nat_Onat, tc_List_Olist(_u14817))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_List_Olist(_u14817), tc_prod(tc_Nat_Onat, tc_List_Olist(_u14817))), tc_List_Olist(_u14817)), c_Product__Type_OPair(tc_Nat_Onat, tc_List_Olist(_u14817))), c_Nat_Osize__class_Osize(tc_List_Olist(_u14817)))), c_COMBI(tc_List_Olist(_u14817))))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_lexn__length ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_lexn__length-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14819), tc_List_Olist(_u14819))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14819), tc_List_Olist(_u14819)), _u14820), _u14821)), hAPP(c_List_Olexn(_u14819, _u14822), _u14823))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14819)), _u14820) = _u14823) )).
% 12.54/12.74 cnf(fact_lexn__length-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14819), tc_List_Olist(_u14819))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14819), tc_List_Olist(_u14819)), _u14820), _u14821)), hAPP(c_List_Olexn(_u14819, _u14822), _u14823))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14819)), _u14821) = _u14823) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_neq__if__length__neq ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_neq__if__length__neq-1, axiom, ( ( _u14825 != _u14826) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14824)), _u14825) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14824)), _u14826)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_lenlex__conv ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_lenlex__conv-1, axiom, ( ( c_List_Olenlex(_u14827, _u14828) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u14827), tc_List_Olist(_u14827))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u14827), tc_List_Olist(_u14827), tc_HOL_Obool), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14827), tc_fun(tc_List_Olist(_u14827), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14827), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14827), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u14827), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14827), tc_HOL_Obool)), tc_List_Olist(_u14827)), c_COMBS(tc_List_Olist(_u14827), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14827), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14827), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u14827)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14827)), c_fdisj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14827), tc_fun(tc_List_Olist(_u14827), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14827), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14827), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14827), tc_HOL_Obool)), tc_List_Olist(_u14827)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u14827))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14827)), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u14827))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u14827)))))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14827), tc_fun(tc_List_Olist(_u14827), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14827), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14827), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u14827), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14827), tc_HOL_Obool)), tc_List_Olist(_u14827)), c_COMBS(tc_List_Olist(_u14827), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14827), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14827), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u14827)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14827)), c_fconj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14827), tc_fun(tc_List_Olist(_u14827), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14827), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14827), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14827), tc_HOL_Obool)), tc_List_Olist(_u14827)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u14827))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14827)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14827))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u14827)))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14827), tc_fun(tc_prod(tc_List_Olist(_u14827), tc_List_Olist(_u14827)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14827), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14827), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14827), tc_List_Olist(_u14827)), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14827), tc_List_Olist(_u14827)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14827), tc_HOL_Obool)), tc_List_Olist(_u14827)), c_COMBC(tc_List_Olist(_u14827), tc_fun(tc_prod(tc_List_Olist(_u14827), tc_List_Olist(_u14827)), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14827), tc_prod(tc_List_Olist(_u14827), tc_List_Olist(_u14827))), tc_fun(tc_List_Olist(_u14827), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14827), tc_List_Olist(_u14827)), tc_HOL_Obool), tc_HOL_Obool)), tc_List_Olist(_u14827)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u14827), tc_List_Olist(_u14827)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14827), tc_List_Olist(_u14827)), tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u14827)), c_member(tc_prod(tc_List_Olist(_u14827), tc_List_Olist(_u14827))))), c_Product__Type_OPair(tc_List_Olist(_u14827), tc_List_Olist(_u14827))))), c_List_Olex(_u14827, _u14828))))))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_length__sublist ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_length__sublist-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14829)), c_List_Osublist(_u14829, _u14830, _u14831)) = 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(_u14829)), _u14830)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u14831))))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_lexn_Osimps_I2_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_lexn_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Olexn(_u14832, _u14833), hAPP(c_Nat_OSuc, _u14834)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(_u14832), tc_List_Olist(_u14832)), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_prod(tc_prod(_u14832, tc_List_Olist(_u14832)), tc_prod(_u14832, tc_List_Olist(_u14832))), tc_prod(tc_List_Olist(_u14832), tc_List_Olist(_u14832)), c_Product__Type_Omap__pair(tc_prod(_u14832, tc_List_Olist(_u14832)), tc_List_Olist(_u14832), tc_prod(_u14832, tc_List_Olist(_u14832)), tc_List_Olist(_u14832), hAPP(c_Product__Type_Oprod_Oprod__case(_u14832, tc_List_Olist(_u14832), tc_List_Olist(_u14832)), c_List_Olist_OCons(_u14832)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14832, tc_List_Olist(_u14832), tc_List_Olist(_u14832)), c_List_Olist_OCons(_u14832)))), c_Wellfounded_Olex__prod(_u14832, tc_List_Olist(_u14832), _u14833, hAPP(c_List_Olexn(_u14832, _u14833), _u14834)))), hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u14832), tc_List_Olist(_u14832))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u14832), tc_List_Olist(_u14832), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14832), tc_fun(tc_List_Olist(_u14832), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14832), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14832), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14832), tc_HOL_Obool)), tc_List_Olist(_u14832)), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u14832))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14832)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14832), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14832)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14832)))), hAPP(c_Nat_OSuc, _u14834))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14832), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14832)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14832)))), hAPP(c_Nat_OSuc, _u14834))))))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_impossible__Cons ( axiom ) converted to clauses:
% 12.54/12.74 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(_u14835)), _u14836)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14835)), _u14837))) | ( _u14836 != hAPP(hAPP(c_List_Olist_OCons(_u14835), _u14838), _u14837)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_not__Cons__self ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_not__Cons__self-1, axiom, ( ( _u14839 != hAPP(hAPP(c_List_Olist_OCons(_u14840), _u14841), _u14839)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_not__Cons__self2 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_not__Cons__self2-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u14842), _u14843), _u14844) != _u14844) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list_Oinject ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list_Oinject-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u14850), _u14852), _u14854) != hAPP(hAPP(c_List_Olist_OCons(_u14850), _u14856), _u14858)) | ( _u14852 = _u14856) )).
% 12.54/12.74 cnf(fact_list_Oinject-2, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u14850), _u14852), _u14854) != hAPP(hAPP(c_List_Olist_OCons(_u14850), _u14856), _u14858)) | ( _u14854 = _u14858) )).
% 12.54/12.74 cnf(fact_list_Oinject-3, axiom, ( ( _u14853 != _u14857) | ( _u14855 != _u14859) | ( hAPP(hAPP(c_List_Olist_OCons(_u14851), _u14853), _u14855) = hAPP(hAPP(c_List_Olist_OCons(_u14851), _u14857), _u14859)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list_Osize_I4_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14860)), hAPP(hAPP(c_List_Olist_OCons(_u14860), _u14861), _u14862)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14860)), _u14862)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_Cons__in__lex ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_Cons__in__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14869), tc_List_Olist(_u14869))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14869), tc_List_Olist(_u14869)), hAPP(hAPP(c_List_Olist_OCons(_u14869), _u14871), _u14873)), hAPP(hAPP(c_List_Olist_OCons(_u14869), _u14875), _u14877))), c_List_Olex(_u14869, _u14879))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14869, _u14869)), hAPP(hAPP(c_Product__Type_OPair(_u14869, _u14869), _u14871), _u14875)), _u14879)) | ( _u14871 = _u14875) )).
% 12.54/12.74 cnf(fact_Cons__in__lex-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14869), tc_List_Olist(_u14869))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14869), tc_List_Olist(_u14869)), hAPP(hAPP(c_List_Olist_OCons(_u14869), _u14871), _u14873)), hAPP(hAPP(c_List_Olist_OCons(_u14869), _u14875), _u14877))), c_List_Olex(_u14869, _u14879))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14869, _u14869)), hAPP(hAPP(c_Product__Type_OPair(_u14869, _u14869), _u14871), _u14875)), _u14879)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14869), tc_List_Olist(_u14869))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14869), tc_List_Olist(_u14869)), _u14873), _u14877)), c_List_Olex(_u14869, _u14879))) )).
% 12.54/12.74 cnf(fact_Cons__in__lex-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14869), tc_List_Olist(_u14869))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14869), tc_List_Olist(_u14869)), hAPP(hAPP(c_List_Olist_OCons(_u14869), _u14871), _u14873)), hAPP(hAPP(c_List_Olist_OCons(_u14869), _u14875), _u14877))), c_List_Olex(_u14869, _u14879))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14869)), _u14873) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14869)), _u14877)) | ( _u14871 = _u14875) )).
% 12.54/12.74 cnf(fact_Cons__in__lex-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14869), tc_List_Olist(_u14869))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14869), tc_List_Olist(_u14869)), hAPP(hAPP(c_List_Olist_OCons(_u14869), _u14871), _u14873)), hAPP(hAPP(c_List_Olist_OCons(_u14869), _u14875), _u14877))), c_List_Olex(_u14869, _u14879))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14869)), _u14873) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14869)), _u14877)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14869), tc_List_Olist(_u14869))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14869), tc_List_Olist(_u14869)), _u14873), _u14877)), c_List_Olex(_u14869, _u14879))) )).
% 12.54/12.74 cnf(fact_Cons__in__lex-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14870), tc_List_Olist(_u14870))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14870), tc_List_Olist(_u14870)), hAPP(hAPP(c_List_Olist_OCons(_u14870), _u14872), _u14874)), hAPP(hAPP(c_List_Olist_OCons(_u14870), _u14876), _u14878))), c_List_Olex(_u14870, _u14880))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14870, _u14870)), hAPP(hAPP(c_Product__Type_OPair(_u14870, _u14870), _u14872), _u14876)), _u14880)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14870)), _u14874) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14870)), _u14878)) )).
% 12.54/12.74 cnf(fact_Cons__in__lex-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14870), tc_List_Olist(_u14870))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14870), tc_List_Olist(_u14870)), hAPP(hAPP(c_List_Olist_OCons(_u14870), _u14872), _u14874)), hAPP(hAPP(c_List_Olist_OCons(_u14870), _u14876), _u14878))), c_List_Olex(_u14870, _u14880))) | ( _u14872 != _u14876) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14870), tc_List_Olist(_u14870))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14870), tc_List_Olist(_u14870)), _u14874), _u14878)), c_List_Olex(_u14870, _u14880))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__Cons__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__Cons__def-1, axiom, ( ( c_List_Oset__Cons(_u14881, _u14882, _u14883) = hAPP(c_Set_OCollect(tc_List_Olist(_u14881)), hAPP(hAPP(c_COMBB(tc_fun(_u14881, tc_HOL_Obool), tc_HOL_Obool, tc_List_Olist(_u14881)), c_HOL_OEx(_u14881)), hAPP(hAPP(c_COMBB(tc_fun(_u14881, tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool)), tc_fun(_u14881, tc_HOL_Obool), tc_List_Olist(_u14881)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool), tc_HOL_Obool, _u14881), c_HOL_OEx(tc_List_Olist(_u14881)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14881), tc_fun(_u14881, tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool)), tc_fun(_u14881, tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14881, tc_fun(tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool))), tc_fun(tc_fun(_u14881, tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool)), tc_fun(_u14881, tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool))), tc_List_Olist(_u14881)), c_COMBS(_u14881, tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14881, tc_fun(tc_List_Olist(_u14881), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14881, tc_fun(tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool))), tc_List_Olist(_u14881)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14881), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool)), _u14881), c_COMBS(tc_List_Olist(_u14881), tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14881, tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool)), tc_fun(_u14881, tc_fun(tc_List_Olist(_u14881), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_List_Olist(_u14881)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14881), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14881), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14881)), c_fconj))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14881), tc_fun(_u14881, tc_fun(tc_List_Olist(_u14881), tc_List_Olist(_u14881))), tc_fun(_u14881, tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(_u14881), tc_List_Olist(_u14881)), tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool)), tc_fun(tc_fun(_u14881, tc_fun(tc_List_Olist(_u14881), tc_List_Olist(_u14881))), tc_fun(_u14881, tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool))), tc_List_Olist(_u14881)), c_COMBB(tc_fun(tc_List_Olist(_u14881), tc_List_Olist(_u14881)), tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool), _u14881)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14881), tc_List_Olist(_u14881)), tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool)), tc_List_Olist(_u14881)), c_COMBB(tc_List_Olist(_u14881), tc_HOL_Obool, tc_List_Olist(_u14881))), c_fequal))), c_List_Olist_OCons(_u14881)))))), hAPP(hAPP(c_COMBC(_u14881, tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool)), _u14881), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u14881))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14881), c_fconj), hAPP(hAPP(c_COMBC(_u14881, tc_fun(_u14881, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14881)), _u14882)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14881), tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u14881))), _u14883))))))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_pick_Osimps ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_pick_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14888), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u14890), _u14892))) | ( hAPP(c_Random_Opick(_u14890, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u14890)), _u14892), _u14894)), _u14888) = hAPP(c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u14890), _u14892)) )).
% 12.54/12.74 cnf(fact_pick_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14889), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u14891), _u14893))) | ( hAPP(c_Random_Opick(_u14891, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u14891)), _u14893), _u14895)), _u14889) = hAPP(c_Random_Opick(_u14891, _u14895), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u14889), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u14891), _u14893)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_select__weight__cons__zero ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_select__weight__cons__zero-1, axiom, ( ( c_Random_Oselect__weight(_u14896, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u14896)), hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u14896), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u14897)), _u14898)) = c_Random_Oselect__weight(_u14896, _u14898)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_lexord__cons__cons ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_lexord__cons__cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14905), tc_List_Olist(_u14905))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14905), tc_List_Olist(_u14905)), hAPP(hAPP(c_List_Olist_OCons(_u14905), _u14907), _u14909)), hAPP(hAPP(c_List_Olist_OCons(_u14905), _u14911), _u14913))), c_List_Olexord(_u14905, _u14915))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14905, _u14905)), hAPP(hAPP(c_Product__Type_OPair(_u14905, _u14905), _u14907), _u14911)), _u14915)) | ( _u14907 = _u14911) )).
% 12.54/12.74 cnf(fact_lexord__cons__cons-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14905), tc_List_Olist(_u14905))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14905), tc_List_Olist(_u14905)), hAPP(hAPP(c_List_Olist_OCons(_u14905), _u14907), _u14909)), hAPP(hAPP(c_List_Olist_OCons(_u14905), _u14911), _u14913))), c_List_Olexord(_u14905, _u14915))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14905, _u14905)), hAPP(hAPP(c_Product__Type_OPair(_u14905, _u14905), _u14907), _u14911)), _u14915)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14905), tc_List_Olist(_u14905))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14905), tc_List_Olist(_u14905)), _u14909), _u14913)), c_List_Olexord(_u14905, _u14915))) )).
% 12.54/12.74 cnf(fact_lexord__cons__cons-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14906), tc_List_Olist(_u14906))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14906), tc_List_Olist(_u14906)), hAPP(hAPP(c_List_Olist_OCons(_u14906), _u14908), _u14910)), hAPP(hAPP(c_List_Olist_OCons(_u14906), _u14912), _u14914))), c_List_Olexord(_u14906, _u14916))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14906, _u14906)), hAPP(hAPP(c_Product__Type_OPair(_u14906, _u14906), _u14908), _u14912)), _u14916)) )).
% 12.54/12.74 cnf(fact_lexord__cons__cons-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14906), tc_List_Olist(_u14906))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14906), tc_List_Olist(_u14906)), hAPP(hAPP(c_List_Olist_OCons(_u14906), _u14908), _u14910)), hAPP(hAPP(c_List_Olist_OCons(_u14906), _u14912), _u14914))), c_List_Olexord(_u14906, _u14916))) | ( _u14908 != _u14912) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14906), tc_List_Olist(_u14906))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14906), tc_List_Olist(_u14906)), _u14910), _u14914)), c_List_Olexord(_u14906, _u14916))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_lexord__lex ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_lexord__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14921), tc_List_Olist(_u14921))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14921), tc_List_Olist(_u14921)), _u14923), _u14925)), c_List_Olex(_u14921, _u14927))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14921), tc_List_Olist(_u14921))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14921), tc_List_Olist(_u14921)), _u14923), _u14925)), c_List_Olexord(_u14921, _u14927))) )).
% 12.54/12.74 cnf(fact_lexord__lex-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14921), tc_List_Olist(_u14921))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14921), tc_List_Olist(_u14921)), _u14923), _u14925)), c_List_Olex(_u14921, _u14927))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14921)), _u14923) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14921)), _u14925)) )).
% 12.54/12.74 cnf(fact_lexord__lex-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14922), tc_List_Olist(_u14922))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14922), tc_List_Olist(_u14922)), _u14924), _u14926)), c_List_Olexord(_u14922, _u14928))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14922)), _u14924) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14922)), _u14926)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14922), tc_List_Olist(_u14922))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14922), tc_List_Olist(_u14922)), _u14924), _u14926)), c_List_Olex(_u14922, _u14928))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_rtrancl__listrel1__ConsI2 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_rtrancl__listrel1__ConsI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14929, _u14929)), hAPP(hAPP(c_Product__Type_OPair(_u14929, _u14929), _u14930), _u14931)), c_Transitive__Closure_Ortrancl(_u14929, _u14932))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14929), tc_List_Olist(_u14929))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14929), tc_List_Olist(_u14929)), _u14933), _u14934)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u14929), c_List_Olistrel1(_u14929, _u14932)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14929), tc_List_Olist(_u14929))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14929), tc_List_Olist(_u14929)), hAPP(hAPP(c_List_Olist_OCons(_u14929), _u14930), _u14933)), hAPP(hAPP(c_List_Olist_OCons(_u14929), _u14931), _u14934))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u14929), c_List_Olistrel1(_u14929, _u14932)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list_Osize_I2_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list_Osize_I2_J-1, axiom, ( ( c_List_Olist_Olist__size(_u14935, _u14936, hAPP(hAPP(c_List_Olist_OCons(_u14935), _u14937), _u14938)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u14936, _u14937)), c_List_Olist_Olist__size(_u14935, _u14936, _u14938))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_Cons__acc__listrel1I ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_Cons__acc__listrel1I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14939), _u14940), c_Wellfounded_Oacc(_u14939, _u14941))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14939)), _u14942), c_Wellfounded_Oacc(tc_List_Olist(_u14939), c_List_Olistrel1(_u14939, _u14941)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14939)), hAPP(hAPP(c_List_Olist_OCons(_u14939), _u14940), _u14942)), c_Wellfounded_Oacc(tc_List_Olist(_u14939), c_List_Olistrel1(_u14939, _u14941)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listrel1__mono ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listrel1__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14943, _u14943), tc_HOL_Obool)), _u14944), _u14945)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u14943), tc_List_Olist(_u14943)), tc_HOL_Obool)), c_List_Olistrel1(_u14943, _u14944)), c_List_Olistrel1(_u14943, _u14945))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listrel1__converse ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listrel1__converse-1, axiom, ( ( c_List_Olistrel1(_u14946, hAPP(c_Relation_Oconverse(_u14946, _u14946), _u14947)) = hAPP(c_Relation_Oconverse(tc_List_Olist(_u14946), tc_List_Olist(_u14946)), c_List_Olistrel1(_u14946, _u14947))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listrel1__rtrancl__subset__rtrancl__listrel1 ( axiom ) converted to clauses:
% 12.54/12.74 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(_u14948), tc_List_Olist(_u14948)), tc_HOL_Obool)), c_List_Olistrel1(_u14948, c_Transitive__Closure_Ortrancl(_u14948, _u14949))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u14948), c_List_Olistrel1(_u14948, _u14949)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_rtrancl__listrel1__ConsI1 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_rtrancl__listrel1__ConsI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14950), tc_List_Olist(_u14950))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14950), tc_List_Olist(_u14950)), _u14951), _u14952)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u14950), c_List_Olistrel1(_u14950, _u14953)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14950), tc_List_Olist(_u14950))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14950), tc_List_Olist(_u14950)), hAPP(hAPP(c_List_Olist_OCons(_u14950), _u14954), _u14951)), hAPP(hAPP(c_List_Olist_OCons(_u14950), _u14954), _u14952))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u14950), c_List_Olistrel1(_u14950, _u14953)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listrel1I2 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listrel1I2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14955), tc_List_Olist(_u14955))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14955), tc_List_Olist(_u14955)), _u14956), _u14957)), c_List_Olistrel1(_u14955, _u14958))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14955), tc_List_Olist(_u14955))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14955), tc_List_Olist(_u14955)), hAPP(hAPP(c_List_Olist_OCons(_u14955), _u14959), _u14956)), hAPP(hAPP(c_List_Olist_OCons(_u14955), _u14959), _u14957))), c_List_Olistrel1(_u14955, _u14958))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_rtrancl__listrel1__eq__len ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_rtrancl__listrel1__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14960), tc_List_Olist(_u14960))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14960), tc_List_Olist(_u14960)), _u14961), _u14962)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u14960), c_List_Olistrel1(_u14960, _u14963)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14960)), _u14961) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14960)), _u14962)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listrel1__eq__len ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listrel1__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14964), tc_List_Olist(_u14964))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14964), tc_List_Olist(_u14964)), _u14965), _u14966)), c_List_Olistrel1(_u14964, _u14967))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14964)), _u14965) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14964)), _u14966)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_in__listrel1__converse ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_in__listrel1__converse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14972), tc_List_Olist(_u14972))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14972), tc_List_Olist(_u14972)), _u14974), _u14976)), c_List_Olistrel1(_u14972, hAPP(c_Relation_Oconverse(_u14972, _u14972), _u14978)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14972), tc_List_Olist(_u14972))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14972), tc_List_Olist(_u14972)), _u14974), _u14976)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u14972), tc_List_Olist(_u14972)), c_List_Olistrel1(_u14972, _u14978)))) )).
% 12.54/12.74 cnf(fact_in__listrel1__converse-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14973), tc_List_Olist(_u14973))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14973), tc_List_Olist(_u14973)), _u14975), _u14977)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u14973), tc_List_Olist(_u14973)), c_List_Olistrel1(_u14973, _u14979)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14973), tc_List_Olist(_u14973))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14973), tc_List_Olist(_u14973)), _u14975), _u14977)), c_List_Olistrel1(_u14973, hAPP(c_Relation_Oconverse(_u14973, _u14973), _u14979)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_Cons__listrel1__Cons ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_Cons__listrel1__Cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14986), tc_List_Olist(_u14986))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14986), tc_List_Olist(_u14986)), hAPP(hAPP(c_List_Olist_OCons(_u14986), _u14988), _u14990)), hAPP(hAPP(c_List_Olist_OCons(_u14986), _u14992), _u14994))), c_List_Olistrel1(_u14986, _u14996))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14986, _u14986)), hAPP(hAPP(c_Product__Type_OPair(_u14986, _u14986), _u14988), _u14992)), _u14996)) | ( _u14988 = _u14992) )).
% 12.54/12.74 cnf(fact_Cons__listrel1__Cons-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14986), tc_List_Olist(_u14986))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14986), tc_List_Olist(_u14986)), hAPP(hAPP(c_List_Olist_OCons(_u14986), _u14988), _u14990)), hAPP(hAPP(c_List_Olist_OCons(_u14986), _u14992), _u14994))), c_List_Olistrel1(_u14986, _u14996))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14986, _u14986)), hAPP(hAPP(c_Product__Type_OPair(_u14986, _u14986), _u14988), _u14992)), _u14996)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14986), tc_List_Olist(_u14986))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14986), tc_List_Olist(_u14986)), _u14990), _u14994)), c_List_Olistrel1(_u14986, _u14996))) )).
% 12.54/12.74 cnf(fact_Cons__listrel1__Cons-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14986), tc_List_Olist(_u14986))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14986), tc_List_Olist(_u14986)), hAPP(hAPP(c_List_Olist_OCons(_u14986), _u14988), _u14990)), hAPP(hAPP(c_List_Olist_OCons(_u14986), _u14992), _u14994))), c_List_Olistrel1(_u14986, _u14996))) | ( _u14990 = _u14994) | ( _u14988 = _u14992) )).
% 12.54/12.74 cnf(fact_Cons__listrel1__Cons-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14986), tc_List_Olist(_u14986))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14986), tc_List_Olist(_u14986)), hAPP(hAPP(c_List_Olist_OCons(_u14986), _u14988), _u14990)), hAPP(hAPP(c_List_Olist_OCons(_u14986), _u14992), _u14994))), c_List_Olistrel1(_u14986, _u14996))) | ( _u14990 = _u14994) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14986), tc_List_Olist(_u14986))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14986), tc_List_Olist(_u14986)), _u14990), _u14994)), c_List_Olistrel1(_u14986, _u14996))) )).
% 12.54/12.74 cnf(fact_Cons__listrel1__Cons-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14987), tc_List_Olist(_u14987))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14987), tc_List_Olist(_u14987)), hAPP(hAPP(c_List_Olist_OCons(_u14987), _u14989), _u14991)), hAPP(hAPP(c_List_Olist_OCons(_u14987), _u14993), _u14995))), c_List_Olistrel1(_u14987, _u14997))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14987, _u14987)), hAPP(hAPP(c_Product__Type_OPair(_u14987, _u14987), _u14989), _u14993)), _u14997)) | ( _u14991 != _u14995) )).
% 12.54/12.74 cnf(fact_Cons__listrel1__Cons-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14987), tc_List_Olist(_u14987))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14987), tc_List_Olist(_u14987)), hAPP(hAPP(c_List_Olist_OCons(_u14987), _u14989), _u14991)), hAPP(hAPP(c_List_Olist_OCons(_u14987), _u14993), _u14995))), c_List_Olistrel1(_u14987, _u14997))) | ( _u14989 != _u14993) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14987), tc_List_Olist(_u14987))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14987), tc_List_Olist(_u14987)), _u14991), _u14995)), c_List_Olistrel1(_u14987, _u14997))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listrel1I1 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listrel1I1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14998, _u14998)), hAPP(hAPP(c_Product__Type_OPair(_u14998, _u14998), _u14999), _u15000)), _u15001)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14998), tc_List_Olist(_u14998))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14998), tc_List_Olist(_u14998)), hAPP(hAPP(c_List_Olist_OCons(_u14998), _u14999), _u15002)), hAPP(hAPP(c_List_Olist_OCons(_u14998), _u15000), _u15002))), c_List_Olistrel1(_u14998, _u15001))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listrel__Cons ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listrel__Cons-1, axiom, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u15003), tc_List_Olist(_u15003), c_List_Olistrel(_u15003, _u15004)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15003)), hAPP(hAPP(c_List_Olist_OCons(_u15003), _u15005), _u15006)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15003), tc_HOL_Obool)))) = c_List_Oset__Cons(_u15003, hAPP(c_Relation_OImage(_u15003, _u15003, _u15004), hAPP(hAPP(c_Set_Oinsert(_u15003), _u15005), c_Orderings_Obot__class_Obot(tc_fun(_u15003, tc_HOL_Obool)))), hAPP(c_Relation_OImage(tc_List_Olist(_u15003), tc_List_Olist(_u15003), c_List_Olistrel(_u15003, _u15004)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15003)), _u15006), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15003), tc_HOL_Obool)))))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_lexord__linear ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_lexord__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15009), tc_List_Olist(_u15009))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15009), tc_List_Olist(_u15009)), _u15011), _u15012)), c_List_Olexord(_u15009, _u15010))) | ( _u15011 = _u15012) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15009), tc_List_Olist(_u15009))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15009), tc_List_Olist(_u15009)), _u15012), _u15011)), c_List_Olexord(_u15009, _u15010))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15009, _u15009)), hAPP(hAPP(c_Product__Type_OPair(_u15009, _u15009), skolem410(_u15012, _u15011, _u15010, _u15009)), skolem411(_u15012, _u15011, _u15010, _u15009))), _u15010)) )).
% 12.54/12.74 cnf(fact_lexord__linear-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15009), tc_List_Olist(_u15009))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15009), tc_List_Olist(_u15009)), _u15011), _u15012)), c_List_Olexord(_u15009, _u15010))) | ( _u15011 = _u15012) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15009), tc_List_Olist(_u15009))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15009), tc_List_Olist(_u15009)), _u15012), _u15011)), c_List_Olexord(_u15009, _u15010))) | ( skolem410(_u15012, _u15011, _u15010, _u15009) != skolem411(_u15012, _u15011, _u15010, _u15009)) )).
% 12.54/12.74 cnf(fact_lexord__linear-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15009), tc_List_Olist(_u15009))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15009), tc_List_Olist(_u15009)), _u15011), _u15012)), c_List_Olexord(_u15009, _u15010))) | ( _u15011 = _u15012) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15009), tc_List_Olist(_u15009))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15009), tc_List_Olist(_u15009)), _u15012), _u15011)), c_List_Olexord(_u15009, _u15010))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15009, _u15009)), hAPP(hAPP(c_Product__Type_OPair(_u15009, _u15009), skolem411(_u15012, _u15011, _u15010, _u15009)), skolem410(_u15012, _u15011, _u15010, _u15009))), _u15010)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listrel__rtrancl__refl ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listrel__rtrancl__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15013), tc_List_Olist(_u15013))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15013), tc_List_Olist(_u15013)), _u15014), _u15014)), c_List_Olistrel(_u15013, c_Transitive__Closure_Ortrancl(_u15013, _u15015)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listrel__mono ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listrel__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15016, _u15016), tc_HOL_Obool)), _u15017), _u15018)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15016), tc_List_Olist(_u15016)), tc_HOL_Obool)), c_List_Olistrel(_u15016, _u15017)), c_List_Olistrel(_u15016, _u15018))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listrel__subset__rtrancl__listrel1 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listrel__subset__rtrancl__listrel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15019), tc_List_Olist(_u15019)), tc_HOL_Obool)), c_List_Olistrel(_u15019, _u15020)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15019), c_List_Olistrel1(_u15019, _u15020)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listrel__eq__len ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listrel__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15021), tc_List_Olist(_u15021))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15021), tc_List_Olist(_u15021)), _u15022), _u15023)), c_List_Olistrel(_u15021, _u15024))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15021)), _u15022) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15021)), _u15023)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listrel__rtrancl__trans ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listrel__rtrancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15025), tc_List_Olist(_u15025))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15025), tc_List_Olist(_u15025)), _u15026), _u15027)), c_List_Olistrel(_u15025, c_Transitive__Closure_Ortrancl(_u15025, _u15028)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15025), tc_List_Olist(_u15025))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15025), tc_List_Olist(_u15025)), _u15027), _u15029)), c_List_Olistrel(_u15025, c_Transitive__Closure_Ortrancl(_u15025, _u15028)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15025), tc_List_Olist(_u15025))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15025), tc_List_Olist(_u15025)), _u15026), _u15029)), c_List_Olistrel(_u15025, c_Transitive__Closure_Ortrancl(_u15025, _u15028)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listrel__rtrancl__eq__rtrancl__listrel1 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listrel__rtrancl__eq__rtrancl__listrel1-1, axiom, ( ( c_List_Olistrel(_u15030, c_Transitive__Closure_Ortrancl(_u15030, _u15031)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15030), c_List_Olistrel1(_u15030, _u15031))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listrel__reflcl__if__listrel1 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listrel__reflcl__if__listrel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15032), tc_List_Olist(_u15032))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15032), tc_List_Olist(_u15032)), _u15033), _u15034)), c_List_Olistrel1(_u15032, _u15035))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15032), tc_List_Olist(_u15032))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15032), tc_List_Olist(_u15032)), _u15033), _u15034)), c_List_Olistrel(_u15032, c_Transitive__Closure_Ortrancl(_u15032, _u15035)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listrel1__subset__listrel ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listrel1__subset__listrel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15036, _u15036), tc_HOL_Obool)), _u15037), _u15038)) | ~c_Relation_Orefl__on(_u15036, c_Orderings_Otop__class_Otop(tc_fun(_u15036, tc_HOL_Obool)), _u15038) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15036), tc_List_Olist(_u15036)), tc_HOL_Obool)), c_List_Olistrel1(_u15036, _u15037)), c_List_Olistrel(_u15036, _u15038))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_rtrancl__listrel1__if__listrel ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_rtrancl__listrel1__if__listrel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15039), tc_List_Olist(_u15039))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15039), tc_List_Olist(_u15039)), _u15040), _u15041)), c_List_Olistrel(_u15039, _u15042))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15039), tc_List_Olist(_u15039))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15039), tc_List_Olist(_u15039)), _u15040), _u15041)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15039), c_List_Olistrel1(_u15039, _u15042)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listrel_OCons ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listrel_OCons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15043, _u15043)), hAPP(hAPP(c_Product__Type_OPair(_u15043, _u15043), _u15044), _u15045)), _u15046)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15043), tc_List_Olist(_u15043))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15043), tc_List_Olist(_u15043)), _u15047), _u15048)), c_List_Olistrel(_u15043, _u15046))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15043), tc_List_Olist(_u15043))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15043), tc_List_Olist(_u15043)), hAPP(hAPP(c_List_Olist_OCons(_u15043), _u15044), _u15047)), hAPP(hAPP(c_List_Olist_OCons(_u15043), _u15045), _u15048))), c_List_Olistrel(_u15043, _u15046))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listrelp__listrel__eq ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listrelp__listrel__eq-1, axiom, ( ~c_List_Olistrelp(_u15053, hAPP(hAPP(c_COMBC(_u15053, tc_fun(tc_prod(_u15053, _u15053), tc_HOL_Obool), tc_fun(_u15053, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15053, tc_fun(tc_fun(tc_prod(_u15053, _u15053), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15053, _u15053), tc_HOL_Obool), tc_fun(_u15053, tc_HOL_Obool)), _u15053), c_COMBC(_u15053, tc_fun(tc_prod(_u15053, _u15053), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15053, tc_prod(_u15053, _u15053)), tc_fun(_u15053, tc_fun(tc_fun(tc_prod(_u15053, _u15053), tc_HOL_Obool), tc_HOL_Obool)), _u15053), hAPP(c_COMBB(tc_prod(_u15053, _u15053), tc_fun(tc_fun(tc_prod(_u15053, _u15053), tc_HOL_Obool), tc_HOL_Obool), _u15053), c_member(tc_prod(_u15053, _u15053)))), c_Product__Type_OPair(_u15053, _u15053)))), _u15055), _u15057, _u15059) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15053), tc_List_Olist(_u15053))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15053), tc_List_Olist(_u15053)), _u15057), _u15059)), c_List_Olistrel(_u15053, _u15055))) )).
% 12.54/12.74 cnf(fact_listrelp__listrel__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15054), tc_List_Olist(_u15054))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15054), tc_List_Olist(_u15054)), _u15058), _u15060)), c_List_Olistrel(_u15054, _u15056))) | c_List_Olistrelp(_u15054, hAPP(hAPP(c_COMBC(_u15054, tc_fun(tc_prod(_u15054, _u15054), tc_HOL_Obool), tc_fun(_u15054, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15054, tc_fun(tc_fun(tc_prod(_u15054, _u15054), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15054, _u15054), tc_HOL_Obool), tc_fun(_u15054, tc_HOL_Obool)), _u15054), c_COMBC(_u15054, tc_fun(tc_prod(_u15054, _u15054), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15054, tc_prod(_u15054, _u15054)), tc_fun(_u15054, tc_fun(tc_fun(tc_prod(_u15054, _u15054), tc_HOL_Obool), tc_HOL_Obool)), _u15054), hAPP(c_COMBB(tc_prod(_u15054, _u15054), tc_fun(tc_fun(tc_prod(_u15054, _u15054), tc_HOL_Obool), tc_HOL_Obool), _u15054), c_member(tc_prod(_u15054, _u15054)))), c_Product__Type_OPair(_u15054, _u15054)))), _u15056), _u15058, _u15060) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listrel__Cons1 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listrel__Cons1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15063), tc_List_Olist(_u15063))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15063), tc_List_Olist(_u15063)), hAPP(hAPP(c_List_Olist_OCons(_u15063), _u15064), _u15065)), _u15066)), c_List_Olistrel(_u15063, _u15067))) | ( _u15066 = hAPP(hAPP(c_List_Olist_OCons(_u15063), skolem412(_u15067, _u15066, _u15065, _u15064, _u15063)), skolem413(_u15067, _u15066, _u15065, _u15064, _u15063))) )).
% 12.54/12.74 cnf(fact_listrel__Cons1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15063), tc_List_Olist(_u15063))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15063), tc_List_Olist(_u15063)), hAPP(hAPP(c_List_Olist_OCons(_u15063), _u15064), _u15065)), _u15066)), c_List_Olistrel(_u15063, _u15067))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15063, _u15063)), hAPP(hAPP(c_Product__Type_OPair(_u15063, _u15063), _u15064), skolem412(_u15067, _u15066, _u15065, _u15064, _u15063))), _u15067)) )).
% 12.54/12.74 cnf(fact_listrel__Cons1-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15063), tc_List_Olist(_u15063))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15063), tc_List_Olist(_u15063)), hAPP(hAPP(c_List_Olist_OCons(_u15063), _u15064), _u15065)), _u15066)), c_List_Olistrel(_u15063, _u15067))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15063), tc_List_Olist(_u15063))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15063), tc_List_Olist(_u15063)), _u15065), skolem413(_u15067, _u15066, _u15065, _u15064, _u15063))), c_List_Olistrel(_u15063, _u15067))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listrelp_OCons ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listrelp_OCons-1, axiom, ( ~hBOOL(hAPP(hAPP(_u15068, _u15069), _u15070)) | ~c_List_Olistrelp(_u15071, _u15068, _u15072, _u15073) | c_List_Olistrelp(_u15071, _u15068, hAPP(hAPP(c_List_Olist_OCons(_u15071), _u15069), _u15072), hAPP(hAPP(c_List_Olist_OCons(_u15071), _u15070), _u15073)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listrelp_Oequations_I2_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listrelp_Oequations_I2_J-1, axiom, ( ~c_List_Olistrelp(_u15080, _u15082, hAPP(hAPP(c_List_Olist_OCons(_u15080), _u15084), _u15086), hAPP(hAPP(c_List_Olist_OCons(_u15080), _u15088), _u15090)) | hBOOL(hAPP(hAPP(_u15082, _u15084), _u15088)) )).
% 12.54/12.74 cnf(fact_listrelp_Oequations_I2_J-2, axiom, ( ~c_List_Olistrelp(_u15080, _u15082, hAPP(hAPP(c_List_Olist_OCons(_u15080), _u15084), _u15086), hAPP(hAPP(c_List_Olist_OCons(_u15080), _u15088), _u15090)) | c_List_Olistrelp(_u15080, _u15082, _u15086, _u15090) )).
% 12.54/12.74 cnf(fact_listrelp_Oequations_I2_J-3, axiom, ( ~hBOOL(hAPP(hAPP(_u15083, _u15085), _u15089)) | ~c_List_Olistrelp(_u15081, _u15083, _u15087, _u15091) | c_List_Olistrelp(_u15081, _u15083, hAPP(hAPP(c_List_Olist_OCons(_u15081), _u15085), _u15087), hAPP(hAPP(c_List_Olist_OCons(_u15081), _u15089), _u15091)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listrel__Cons2 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listrel__Cons2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15094), tc_List_Olist(_u15094))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15094), tc_List_Olist(_u15094)), _u15095), hAPP(hAPP(c_List_Olist_OCons(_u15094), _u15096), _u15097))), c_List_Olistrel(_u15094, _u15098))) | ( _u15095 = hAPP(hAPP(c_List_Olist_OCons(_u15094), skolem414(_u15098, _u15097, _u15096, _u15095, _u15094)), skolem415(_u15098, _u15097, _u15096, _u15095, _u15094))) )).
% 12.54/12.74 cnf(fact_listrel__Cons2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15094), tc_List_Olist(_u15094))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15094), tc_List_Olist(_u15094)), _u15095), hAPP(hAPP(c_List_Olist_OCons(_u15094), _u15096), _u15097))), c_List_Olistrel(_u15094, _u15098))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15094, _u15094)), hAPP(hAPP(c_Product__Type_OPair(_u15094, _u15094), skolem414(_u15098, _u15097, _u15096, _u15095, _u15094)), _u15096)), _u15098)) )).
% 12.54/12.74 cnf(fact_listrel__Cons2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15094), tc_List_Olist(_u15094))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15094), tc_List_Olist(_u15094)), _u15095), hAPP(hAPP(c_List_Olist_OCons(_u15094), _u15096), _u15097))), c_List_Olistrel(_u15094, _u15098))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15094), tc_List_Olist(_u15094))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15094), tc_List_Olist(_u15094)), skolem415(_u15098, _u15097, _u15096, _u15095, _u15094)), _u15097)), c_List_Olistrel(_u15094, _u15098))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listrel__subset ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listrel__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15099, _u15099), tc_HOL_Obool)), _u15100), hAPP(hAPP(c_Product__Type_OSigma(_u15099, _u15099), _u15101), hAPP(c_COMBK(tc_fun(_u15099, tc_HOL_Obool), _u15099), _u15101)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15099), tc_List_Olist(_u15099)), tc_HOL_Obool)), c_List_Olistrel(_u15099, _u15100)), hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(_u15099), tc_List_Olist(_u15099)), c_List_Olists(_u15099, _u15101)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u15099), tc_HOL_Obool), tc_List_Olist(_u15099)), c_List_Olists(_u15099, _u15101))))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_lists__UNIV ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_lists__UNIV-1, axiom, ( ( c_List_Olists(_u15102, c_Orderings_Otop__class_Otop(tc_fun(_u15102, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15102), tc_HOL_Obool))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_lists__mono ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_lists__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15103, tc_HOL_Obool)), _u15104), _u15105)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u15103), tc_HOL_Obool)), c_List_Olists(_u15103, _u15104)), c_List_Olists(_u15103, _u15105))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_equiv__listrel ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_equiv__listrel-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u15106, _u15107, _u15108) | c_Equiv__Relations_Oequiv(tc_List_Olist(_u15106), c_List_Olists(_u15106, _u15107), c_List_Olistrel(_u15106, _u15108)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listrel__refl__on ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listrel__refl__on-1, axiom, ( ~c_Relation_Orefl__on(_u15109, _u15110, _u15111) | c_Relation_Orefl__on(tc_List_Olist(_u15109), c_List_Olists(_u15109, _u15110), c_List_Olistrel(_u15109, _u15111)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_Cons__in__lists__iff ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_Cons__in__lists__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15116)), hAPP(hAPP(c_List_Olist_OCons(_u15116), _u15118), _u15120)), c_List_Olists(_u15116, _u15122))) | hBOOL(hAPP(hAPP(c_member(_u15116), _u15118), _u15122)) )).
% 12.54/12.74 cnf(fact_Cons__in__lists__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15116)), hAPP(hAPP(c_List_Olist_OCons(_u15116), _u15118), _u15120)), c_List_Olists(_u15116, _u15122))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15116)), _u15120), c_List_Olists(_u15116, _u15122))) )).
% 12.54/12.74 cnf(fact_Cons__in__lists__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15117), _u15119), _u15123)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15117)), _u15121), c_List_Olists(_u15117, _u15123))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15117)), hAPP(hAPP(c_List_Olist_OCons(_u15117), _u15119), _u15121)), c_List_Olists(_u15117, _u15123))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_lists__accD ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_lists__accD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15124)), _u15125), c_List_Olists(_u15124, c_Wellfounded_Oacc(_u15124, _u15126)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15124)), _u15125), c_Wellfounded_Oacc(tc_List_Olist(_u15124), c_List_Olistrel1(_u15124, _u15126)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_lists__accI ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_lists__accI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15127)), _u15128), c_Wellfounded_Oacc(tc_List_Olist(_u15127), c_List_Olistrel1(_u15127, _u15129)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15127)), _u15128), c_List_Olists(_u15127, c_Wellfounded_Oacc(_u15127, _u15129)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listrel__iff__nth ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listrel__iff__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15136), tc_List_Olist(_u15136))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15136), tc_List_Olist(_u15136)), _u15138), _u15140)), c_List_Olistrel(_u15136, _u15142))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15136)), _u15138) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15136)), _u15140)) )).
% 12.54/12.74 cnf(fact_listrel__iff__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15136), tc_List_Olist(_u15136))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15136), tc_List_Olist(_u15136)), _u15138), _u15140)), c_List_Olistrel(_u15136, _u15142))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15130), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15136)), _u15138))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15136, _u15136)), hAPP(hAPP(c_Product__Type_OPair(_u15136, _u15136), hAPP(hAPP(c_List_Onth(_u15136), _u15138), _u15130)), hAPP(hAPP(c_List_Onth(_u15136), _u15140), _u15130))), _u15142)) )).
% 12.54/12.74 cnf(fact_listrel__iff__nth-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15137), tc_List_Olist(_u15137))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15137), tc_List_Olist(_u15137)), _u15139), _u15141)), c_List_Olistrel(_u15137, _u15143))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15137)), _u15139) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15137)), _u15141)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem416(_u15143, _u15141, _u15139, _u15137)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15137)), _u15139))) )).
% 12.54/12.74 cnf(fact_listrel__iff__nth-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15137), tc_List_Olist(_u15137))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15137), tc_List_Olist(_u15137)), _u15139), _u15141)), c_List_Olistrel(_u15137, _u15143))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15137)), _u15139) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15137)), _u15141)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15137, _u15137)), hAPP(hAPP(c_Product__Type_OPair(_u15137, _u15137), hAPP(hAPP(c_List_Onth(_u15137), _u15139), skolem416(_u15143, _u15141, _u15139, _u15137))), hAPP(hAPP(c_List_Onth(_u15137), _u15141), skolem416(_u15143, _u15141, _u15139, _u15137)))), _u15143)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_lexord__irreflexive ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_lexord__irreflexive-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15145, _u15145)), hAPP(hAPP(c_Product__Type_OPair(_u15145, _u15145), skolem417(_u15147, _u15146, _u15145)), skolem417(_u15147, _u15146, _u15145))), _u15146)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15145), tc_List_Olist(_u15145))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15145), tc_List_Olist(_u15145)), _u15147), _u15147)), c_List_Olexord(_u15145, _u15146))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_infinite__UNIV__listI ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_infinite__UNIV__listI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15148)), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15148), tc_HOL_Obool)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__eq__iff__nth__eq ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__eq__iff__nth__eq-1, axiom, ( ( _u15154 != _u15156) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15158)), _u15154) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15158)), _u15156)) )).
% 12.54/12.74 cnf(fact_list__eq__iff__nth__eq-2, axiom, ( ( _u15154 != _u15156) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15149), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15158)), _u15154))) | ( hAPP(hAPP(c_List_Onth(_u15158), _u15154), _u15149) = hAPP(hAPP(c_List_Onth(_u15158), _u15156), _u15149)) )).
% 12.54/12.74 cnf(fact_list__eq__iff__nth__eq-3, axiom, ( ( _u15155 = _u15157) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15159)), _u15155) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15159)), _u15157)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem418(_u15159, _u15157, _u15155)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15159)), _u15155))) )).
% 12.54/12.74 cnf(fact_list__eq__iff__nth__eq-4, axiom, ( ( _u15155 = _u15157) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15159)), _u15155) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15159)), _u15157)) | ( hAPP(hAPP(c_List_Onth(_u15159), _u15155), skolem418(_u15159, _u15157, _u15155)) != hAPP(hAPP(c_List_Onth(_u15159), _u15157), skolem418(_u15159, _u15157, _u15155))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_nth__Cons__Suc ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_nth__Cons__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u15160), hAPP(hAPP(c_List_Olist_OCons(_u15160), _u15161), _u15162)), hAPP(c_Nat_OSuc, _u15163)) = hAPP(hAPP(c_List_Onth(_u15160), _u15162), _u15163)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_nth__Cons__0 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_nth__Cons__0-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u15164), hAPP(hAPP(c_List_Olist_OCons(_u15164), _u15165), _u15166)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u15165) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_nth_Osimps ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_nth_Osimps-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u15167), hAPP(hAPP(c_List_Olist_OCons(_u15167), _u15168), _u15169)), _u15170) = c_Nat_Onat_Onat__case(_u15167, _u15168, hAPP(c_List_Onth(_u15167), _u15169), _u15170)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_nth__Cons_H ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_nth__Cons_H-1, axiom, ( ( _u15175 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15177), hAPP(hAPP(c_List_Olist_OCons(_u15177), _u15179), _u15181)), _u15175) = _u15179) )).
% 12.54/12.74 cnf(fact_nth__Cons_H-2, axiom, ( ( _u15176 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15178), hAPP(hAPP(c_List_Olist_OCons(_u15178), _u15180), _u15182)), _u15176) = hAPP(hAPP(c_List_Onth(_u15178), _u15182), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15176), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_nth__Cons__number__of ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_nth__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15187) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15189), hAPP(hAPP(c_List_Olist_OCons(_u15189), _u15191), _u15193)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15187)) = _u15191) )).
% 12.54/12.74 cnf(fact_nth__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15188) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15190), hAPP(hAPP(c_List_Olist_OCons(_u15190), _u15192), _u15194)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15188)) = hAPP(hAPP(c_List_Onth(_u15190), _u15194), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15188)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_lexord__take__index__conv ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_lexord__take__index__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15201), tc_List_Olist(_u15201))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15201), tc_List_Olist(_u15201)), _u15203), _u15205)), c_List_Olexord(_u15201, _u15207))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15201)), _u15203)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15201)), _u15205))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem419(_u15207, _u15205, _u15203, _u15201)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15201)), _u15203)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15201)), _u15205)))) )).
% 12.54/12.74 cnf(fact_lexord__take__index__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15201), tc_List_Olist(_u15201))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15201), tc_List_Olist(_u15201)), _u15203), _u15205)), c_List_Olexord(_u15201, _u15207))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15201)), _u15203)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15201)), _u15205))) | ( hAPP(hAPP(c_List_Otake(_u15201), skolem419(_u15207, _u15205, _u15203, _u15201)), _u15203) = hAPP(hAPP(c_List_Otake(_u15201), skolem419(_u15207, _u15205, _u15203, _u15201)), _u15205)) )).
% 12.54/12.74 cnf(fact_lexord__take__index__conv-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15201), tc_List_Olist(_u15201))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15201), tc_List_Olist(_u15201)), _u15203), _u15205)), c_List_Olexord(_u15201, _u15207))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15201)), _u15203)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15201)), _u15205))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15201, _u15201)), hAPP(hAPP(c_Product__Type_OPair(_u15201, _u15201), hAPP(hAPP(c_List_Onth(_u15201), _u15203), skolem419(_u15207, _u15205, _u15203, _u15201))), hAPP(hAPP(c_List_Onth(_u15201), _u15205), skolem419(_u15207, _u15205, _u15203, _u15201)))), _u15207)) )).
% 12.54/12.74 cnf(fact_lexord__take__index__conv-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15201), tc_List_Olist(_u15201))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15201), tc_List_Olist(_u15201)), _u15203), _u15205)), c_List_Olexord(_u15201, _u15207))) | ( hAPP(hAPP(c_List_Otake(_u15201), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15201)), _u15203)), _u15205) = _u15203) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem419(_u15207, _u15205, _u15203, _u15201)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15201)), _u15203)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15201)), _u15205)))) )).
% 12.54/12.74 cnf(fact_lexord__take__index__conv-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15201), tc_List_Olist(_u15201))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15201), tc_List_Olist(_u15201)), _u15203), _u15205)), c_List_Olexord(_u15201, _u15207))) | ( hAPP(hAPP(c_List_Otake(_u15201), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15201)), _u15203)), _u15205) = _u15203) | ( hAPP(hAPP(c_List_Otake(_u15201), skolem419(_u15207, _u15205, _u15203, _u15201)), _u15203) = hAPP(hAPP(c_List_Otake(_u15201), skolem419(_u15207, _u15205, _u15203, _u15201)), _u15205)) )).
% 12.54/12.74 cnf(fact_lexord__take__index__conv-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15201), tc_List_Olist(_u15201))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15201), tc_List_Olist(_u15201)), _u15203), _u15205)), c_List_Olexord(_u15201, _u15207))) | ( hAPP(hAPP(c_List_Otake(_u15201), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15201)), _u15203)), _u15205) = _u15203) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15201, _u15201)), hAPP(hAPP(c_Product__Type_OPair(_u15201, _u15201), hAPP(hAPP(c_List_Onth(_u15201), _u15203), skolem419(_u15207, _u15205, _u15203, _u15201))), hAPP(hAPP(c_List_Onth(_u15201), _u15205), skolem419(_u15207, _u15205, _u15203, _u15201)))), _u15207)) )).
% 12.54/12.74 cnf(fact_lexord__take__index__conv-7, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15202), tc_List_Olist(_u15202))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15202), tc_List_Olist(_u15202)), _u15204), _u15206)), c_List_Olexord(_u15202, _u15208))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15202)), _u15204)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15202)), _u15206))) | ( hAPP(hAPP(c_List_Otake(_u15202), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15202)), _u15204)), _u15206) != _u15204) )).
% 12.54/12.74 cnf(fact_lexord__take__index__conv-8, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15202), tc_List_Olist(_u15202))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15202), tc_List_Olist(_u15202)), _u15204), _u15206)), c_List_Olexord(_u15202, _u15208))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15196), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15202)), _u15204)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15202)), _u15206)))) | ( hAPP(hAPP(c_List_Otake(_u15202), _u15196), _u15204) != hAPP(hAPP(c_List_Otake(_u15202), _u15196), _u15206)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15202, _u15202)), hAPP(hAPP(c_Product__Type_OPair(_u15202, _u15202), hAPP(hAPP(c_List_Onth(_u15202), _u15204), _u15196)), hAPP(hAPP(c_List_Onth(_u15202), _u15206), _u15196))), _u15208)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__sublist ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__sublist-1, axiom, ( ( hAPP(c_List_Oset(_u15209), c_List_Osublist(_u15209, _u15210, _u15211)) = hAPP(c_Set_OCollect(_u15209), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u15209), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u15209, 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)), _u15209), 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)), _u15209), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u15209, tc_fun(tc_Nat_Onat, _u15209), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15209, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u15209), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u15209), c_COMBB(_u15209, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u15209), _u15210))))), 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(_u15209)), _u15210)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u15211)))))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_finite__set ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_finite__set-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u15212), hAPP(c_List_Oset(_u15212), _u15213))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__subset__Cons ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__subset__Cons-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15214, tc_HOL_Obool)), hAPP(c_List_Oset(_u15214), _u15215)), hAPP(c_List_Oset(_u15214), hAPP(hAPP(c_List_Olist_OCons(_u15214), _u15216), _u15215)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_take__all ( axiom ) converted to clauses:
% 12.54/12.74 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(_u15217)), _u15218)), _u15219)) | ( hAPP(hAPP(c_List_Otake(_u15217), _u15219), _u15218) = _u15218) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__take__subset__set__take ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__take__subset__set__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15220), _u15221)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15222, tc_HOL_Obool)), hAPP(c_List_Oset(_u15222), hAPP(hAPP(c_List_Otake(_u15222), _u15220), _u15223))), hAPP(c_List_Oset(_u15222), hAPP(hAPP(c_List_Otake(_u15222), _u15221), _u15223)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__take__subset ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__take__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15224, tc_HOL_Obool)), hAPP(c_List_Oset(_u15224), hAPP(hAPP(c_List_Otake(_u15224), _u15225), _u15226))), hAPP(c_List_Oset(_u15224), _u15226))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__sublist__subset ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__sublist__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15227, tc_HOL_Obool)), hAPP(c_List_Oset(_u15227), c_List_Osublist(_u15227, _u15228, _u15229))), hAPP(c_List_Oset(_u15227), _u15228))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_nth__take ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_nth__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15230), _u15231)) | ( hAPP(hAPP(c_List_Onth(_u15232), hAPP(hAPP(c_List_Otake(_u15232), _u15231), _u15233)), _u15230) = hAPP(hAPP(c_List_Onth(_u15232), _u15233), _u15230)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_take__Suc__Cons ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_take__Suc__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15234), hAPP(c_Nat_OSuc, _u15235)), hAPP(hAPP(c_List_Olist_OCons(_u15234), _u15236), _u15237)) = hAPP(hAPP(c_List_Olist_OCons(_u15234), _u15236), hAPP(hAPP(c_List_Otake(_u15234), _u15235), _u15237))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__ConsD ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__ConsD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15238), _u15239), hAPP(c_List_Oset(_u15238), hAPP(hAPP(c_List_Olist_OCons(_u15238), _u15240), _u15241)))) | ( _u15239 = _u15240) | hBOOL(hAPP(hAPP(c_member(_u15238), _u15239), hAPP(c_List_Oset(_u15238), _u15241))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_in__set__sublistD ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_in__set__sublistD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15242), _u15243), hAPP(c_List_Oset(_u15242), c_List_Osublist(_u15242, _u15244, _u15245)))) | hBOOL(hAPP(hAPP(c_member(_u15242), _u15243), hAPP(c_List_Oset(_u15242), _u15244))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_in__set__takeD ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_in__set__takeD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15246), _u15247), hAPP(c_List_Oset(_u15246), hAPP(hAPP(c_List_Otake(_u15246), _u15248), _u15249)))) | hBOOL(hAPP(hAPP(c_member(_u15246), _u15247), hAPP(c_List_Oset(_u15246), _u15249))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_notin__set__sublistI ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_notin__set__sublistI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15250), _u15251), hAPP(c_List_Oset(_u15250), _u15252))) | ~hBOOL(hAPP(hAPP(c_member(_u15250), _u15251), hAPP(c_List_Oset(_u15250), c_List_Osublist(_u15250, _u15252, _u15253)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_length__take ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_length__take-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15254)), hAPP(hAPP(c_List_Otake(_u15254), _u15255), _u15256)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15254)), _u15256)), _u15255)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_take__take ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_take__take-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15257), _u15258), hAPP(hAPP(c_List_Otake(_u15257), _u15259), _u15260)) = hAPP(hAPP(c_List_Otake(_u15257), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u15258), _u15259)), _u15260)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_List_Oset_Osimps_I2_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_List_Oset_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Oset(_u15261), hAPP(hAPP(c_List_Olist_OCons(_u15261), _u15262), _u15263)) = hAPP(hAPP(c_Set_Oinsert(_u15261), _u15262), hAPP(c_List_Oset(_u15261), _u15263))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sublist__upt__eq__take ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_sublist__upt__eq__take-1, axiom, ( ( c_List_Osublist(_u15264, _u15265, hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u15266)) = hAPP(hAPP(c_List_Otake(_u15264), _u15266), _u15265)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_card__length ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_card__length-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u15267), hAPP(c_List_Oset(_u15267), _u15268))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15267)), _u15268))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_all__set__conv__all__nth ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_all__set__conv__all__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15270), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15276)), _u15278))) | hBOOL(hAPP(_u15280, hAPP(hAPP(c_List_Onth(_u15276), _u15278), _u15270))) | hBOOL(hAPP(hAPP(c_member(_u15276), skolem420(_u15280, _u15278, _u15276)), hAPP(c_List_Oset(_u15276), _u15278))) )).
% 12.54/12.74 cnf(fact_all__set__conv__all__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15270), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15276)), _u15278))) | hBOOL(hAPP(_u15280, hAPP(hAPP(c_List_Onth(_u15276), _u15278), _u15270))) | ~hBOOL(hAPP(_u15280, skolem420(_u15280, _u15278, _u15276))) )).
% 12.54/12.74 cnf(fact_all__set__conv__all__nth-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15277), _u15272), hAPP(c_List_Oset(_u15277), _u15279))) | hBOOL(hAPP(_u15281, _u15272)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem421(_u15281, _u15279, _u15277)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15277)), _u15279))) )).
% 12.54/12.74 cnf(fact_all__set__conv__all__nth-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15277), _u15272), hAPP(c_List_Oset(_u15277), _u15279))) | hBOOL(hAPP(_u15281, _u15272)) | ~hBOOL(hAPP(_u15281, hAPP(hAPP(c_List_Onth(_u15277), _u15279), skolem421(_u15281, _u15279, _u15277)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__size__estimation ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__size__estimation-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15282), _u15283), hAPP(c_List_Oset(_u15282), _u15284))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15285), hAPP(_u15286, _u15283))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15285), c_List_Olist_Olist__size(_u15282, _u15286, _u15284))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__size__estimation_H ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__size__estimation_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15287), _u15288), hAPP(c_List_Oset(_u15287), _u15289))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15290), hAPP(_u15291, _u15288))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15290), c_List_Olist_Olist__size(_u15287, _u15291, _u15289))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_in__lists__conv__set ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_in__lists__conv__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15297)), _u15299), c_List_Olists(_u15297, _u15301))) | ~hBOOL(hAPP(hAPP(c_member(_u15297), _u15292), hAPP(c_List_Oset(_u15297), _u15299))) | hBOOL(hAPP(hAPP(c_member(_u15297), _u15292), _u15301)) )).
% 12.54/12.74 cnf(fact_in__lists__conv__set-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15298)), _u15300), c_List_Olists(_u15298, _u15302))) | hBOOL(hAPP(hAPP(c_member(_u15298), skolem422(_u15302, _u15300, _u15298)), hAPP(c_List_Oset(_u15298), _u15300))) )).
% 12.54/12.74 cnf(fact_in__lists__conv__set-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15298)), _u15300), c_List_Olists(_u15298, _u15302))) | ~hBOOL(hAPP(hAPP(c_member(_u15298), skolem422(_u15302, _u15300, _u15298)), _u15302)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_length__pos__if__in__set ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_length__pos__if__in__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15303), _u15304), hAPP(c_List_Oset(_u15303), _u15305))) | 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(_u15303)), _u15305))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_in__set__conv__nth ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_in__set__conv__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15311), _u15313), hAPP(c_List_Oset(_u15311), _u15315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem423(_u15315, _u15313, _u15311)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15311)), _u15315))) )).
% 12.54/12.74 cnf(fact_in__set__conv__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15311), _u15313), hAPP(c_List_Oset(_u15311), _u15315))) | ( hAPP(hAPP(c_List_Onth(_u15311), _u15315), skolem423(_u15315, _u15313, _u15311)) = _u15313) )).
% 12.54/12.74 cnf(fact_in__set__conv__nth-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15307), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15312)), _u15316))) | ( hAPP(hAPP(c_List_Onth(_u15312), _u15316), _u15307) != _u15314) | hBOOL(hAPP(hAPP(c_member(_u15312), _u15314), hAPP(c_List_Oset(_u15312), _u15316))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_nth__mem ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_nth__mem-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15317), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15318)), _u15319))) | hBOOL(hAPP(hAPP(c_member(_u15318), hAPP(hAPP(c_List_Onth(_u15318), _u15319), _u15317)), hAPP(c_List_Oset(_u15318), _u15319))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_lists__eq__set ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_lists__eq__set-1, axiom, ( ( c_List_Olists(_u15320, _u15321) = hAPP(c_Set_OCollect(tc_List_Olist(_u15320)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15320), tc_fun(_u15320, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15320, tc_HOL_Obool), tc_fun(tc_fun(_u15320, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15320)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15320, tc_HOL_Obool))), c_List_Oset(_u15320))), _u15321))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__conv__nth ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__conv__nth-1, axiom, ( ( hAPP(c_List_Oset(_u15322), _u15323) = hAPP(c_Set_OCollect(_u15322), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u15322), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u15322, 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)), _u15322), 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)), _u15322), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u15322, tc_fun(tc_Nat_Onat, _u15322), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15322, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u15322), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u15322), c_COMBB(_u15322, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u15322), _u15323))))), 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(_u15322)), _u15323)))))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_finite__lists__length__eq ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_finite__lists__length__eq-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15324), _u15325)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15324)), hAPP(c_Set_OCollect(tc_List_Olist(_u15324)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15324), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15324)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15324), tc_fun(_u15324, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15324, tc_HOL_Obool), tc_fun(tc_fun(_u15324, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15324)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15324, tc_HOL_Obool))), c_List_Oset(_u15324))), _u15325))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15324), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15324)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u15324)))), _u15326))))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_finite__lists__length__le ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_finite__lists__length__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15327), _u15328)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15327)), hAPP(c_Set_OCollect(tc_List_Olist(_u15327)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15327), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15327)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15327), tc_fun(_u15327, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15327, tc_HOL_Obool), tc_fun(tc_fun(_u15327, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15327)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15327, tc_HOL_Obool))), c_List_Oset(_u15327))), _u15328))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15327), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15327)), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u15327)))), _u15329))))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listrel__iff__zip ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listrel__iff__zip-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15336), tc_List_Olist(_u15336))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15336), tc_List_Olist(_u15336)), _u15338), _u15340)), c_List_Olistrel(_u15336, _u15342))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15336)), _u15338) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15336)), _u15340)) )).
% 12.54/12.74 cnf(fact_listrel__iff__zip-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15336), tc_List_Olist(_u15336))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15336), tc_List_Olist(_u15336)), _u15338), _u15340)), c_List_Olistrel(_u15336, _u15342))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15336, _u15336)), _u15330), hAPP(c_List_Oset(tc_prod(_u15336, _u15336)), hAPP(hAPP(c_List_Ozip(_u15336, _u15336), _u15338), _u15340)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15336, _u15336, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15336, tc_fun(tc_prod(_u15336, _u15336), tc_HOL_Obool), tc_fun(_u15336, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15336, tc_fun(tc_fun(tc_prod(_u15336, _u15336), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15336, _u15336), tc_HOL_Obool), tc_fun(_u15336, tc_HOL_Obool)), _u15336), c_COMBC(_u15336, tc_fun(tc_prod(_u15336, _u15336), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15336, tc_prod(_u15336, _u15336)), tc_fun(_u15336, tc_fun(tc_fun(tc_prod(_u15336, _u15336), tc_HOL_Obool), tc_HOL_Obool)), _u15336), hAPP(c_COMBB(tc_prod(_u15336, _u15336), tc_fun(tc_fun(tc_prod(_u15336, _u15336), tc_HOL_Obool), tc_HOL_Obool), _u15336), c_member(tc_prod(_u15336, _u15336)))), c_Product__Type_OPair(_u15336, _u15336)))), _u15342)), _u15330)) )).
% 12.54/12.74 cnf(fact_listrel__iff__zip-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15337), tc_List_Olist(_u15337))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15337), tc_List_Olist(_u15337)), _u15339), _u15341)), c_List_Olistrel(_u15337, _u15343))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15337)), _u15339) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15337)), _u15341)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15337, _u15337)), skolem424(_u15343, _u15341, _u15339, _u15337)), hAPP(c_List_Oset(tc_prod(_u15337, _u15337)), hAPP(hAPP(c_List_Ozip(_u15337, _u15337), _u15339), _u15341)))) )).
% 12.54/12.74 cnf(fact_listrel__iff__zip-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15337), tc_List_Olist(_u15337))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15337), tc_List_Olist(_u15337)), _u15339), _u15341)), c_List_Olistrel(_u15337, _u15343))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15337)), _u15339) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15337)), _u15341)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15337, _u15337, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15337, tc_fun(tc_prod(_u15337, _u15337), tc_HOL_Obool), tc_fun(_u15337, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15337, tc_fun(tc_fun(tc_prod(_u15337, _u15337), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15337, _u15337), tc_HOL_Obool), tc_fun(_u15337, tc_HOL_Obool)), _u15337), c_COMBC(_u15337, tc_fun(tc_prod(_u15337, _u15337), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15337, tc_prod(_u15337, _u15337)), tc_fun(_u15337, tc_fun(tc_fun(tc_prod(_u15337, _u15337), tc_HOL_Obool), tc_HOL_Obool)), _u15337), hAPP(c_COMBB(tc_prod(_u15337, _u15337), tc_fun(tc_fun(tc_prod(_u15337, _u15337), tc_HOL_Obool), tc_HOL_Obool), _u15337), c_member(tc_prod(_u15337, _u15337)))), c_Product__Type_OPair(_u15337, _u15337)))), _u15343)), skolem424(_u15343, _u15341, _u15339, _u15337))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__zip ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__zip-1, axiom, ( ( hAPP(c_List_Oset(tc_prod(_u15344, _u15345)), hAPP(hAPP(c_List_Ozip(_u15344, _u15345), _u15346), _u15347)) = hAPP(c_Set_OCollect(tc_prod(_u15344, _u15345)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u15344, _u15345)), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u15344, _u15345), 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(_u15344, _u15345)), 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(_u15344, _u15345)), 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(_u15344, _u15345), tc_fun(tc_Nat_Onat, tc_prod(_u15344, _u15345)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u15344, _u15345), tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_prod(_u15344, _u15345)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_prod(_u15344, _u15345)), c_COMBB(tc_prod(_u15344, _u15345), tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u15345, tc_prod(_u15344, _u15345)), hAPP(hAPP(c_COMBB(_u15344, tc_fun(_u15345, tc_prod(_u15344, _u15345)), tc_Nat_Onat), c_Product__Type_OPair(_u15344, _u15345)), hAPP(c_List_Onth(_u15344), _u15346))), hAPP(c_List_Onth(_u15345), _u15347)))))), 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(_u15344)), _u15346)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15345)), _u15347))))))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_take__zip ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_take__zip-1, axiom, ( ( hAPP(hAPP(c_List_Otake(tc_prod(_u15348, _u15349)), _u15350), hAPP(hAPP(c_List_Ozip(_u15348, _u15349), _u15351), _u15352)) = hAPP(hAPP(c_List_Ozip(_u15348, _u15349), hAPP(hAPP(c_List_Otake(_u15348), _u15350), _u15351)), hAPP(hAPP(c_List_Otake(_u15349), _u15350), _u15352))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_length__zip ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_length__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_prod(_u15353, _u15354))), hAPP(hAPP(c_List_Ozip(_u15353, _u15354), _u15355), _u15356)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15353)), _u15355)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15354)), _u15356))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_zip__Cons__Cons ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_zip__Cons__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u15357, _u15358), hAPP(hAPP(c_List_Olist_OCons(_u15357), _u15359), _u15360)), hAPP(hAPP(c_List_Olist_OCons(_u15358), _u15361), _u15362)) = hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u15357, _u15358)), hAPP(hAPP(c_Product__Type_OPair(_u15357, _u15358), _u15359), _u15361)), hAPP(hAPP(c_List_Ozip(_u15357, _u15358), _u15360), _u15362))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__eq__iff__zip__eq ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__eq__iff__zip__eq-1, axiom, ( ( _u15368 != _u15370) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15372)), _u15368) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15372)), _u15370)) )).
% 12.54/12.74 cnf(fact_list__eq__iff__zip__eq-2, axiom, ( ( _u15368 != _u15370) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15372, _u15372)), _u15363), hAPP(c_List_Oset(tc_prod(_u15372, _u15372)), hAPP(hAPP(c_List_Ozip(_u15372, _u15372), _u15368), _u15370)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15372, _u15372, tc_HOL_Obool), c_fequal), _u15363)) )).
% 12.54/12.74 cnf(fact_list__eq__iff__zip__eq-3, axiom, ( ( _u15369 = _u15371) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15373)), _u15369) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15373)), _u15371)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15373, _u15373)), skolem425(_u15373, _u15371, _u15369)), hAPP(c_List_Oset(tc_prod(_u15373, _u15373)), hAPP(hAPP(c_List_Ozip(_u15373, _u15373), _u15369), _u15371)))) )).
% 12.54/12.74 cnf(fact_list__eq__iff__zip__eq-4, axiom, ( ( _u15369 = _u15371) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15373)), _u15369) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15373)), _u15371)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15373, _u15373, tc_HOL_Obool), c_fequal), skolem425(_u15373, _u15371, _u15369))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_in__set__zipE ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_in__set__zipE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15374, _u15375)), hAPP(hAPP(c_Product__Type_OPair(_u15374, _u15375), _u15376), _u15377)), hAPP(c_List_Oset(tc_prod(_u15374, _u15375)), hAPP(hAPP(c_List_Ozip(_u15374, _u15375), _u15378), _u15379)))) | hBOOL(hAPP(hAPP(c_member(_u15374), _u15376), hAPP(c_List_Oset(_u15374), _u15378))) )).
% 12.54/12.74 cnf(fact_in__set__zipE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15374, _u15375)), hAPP(hAPP(c_Product__Type_OPair(_u15374, _u15375), _u15376), _u15377)), hAPP(c_List_Oset(tc_prod(_u15374, _u15375)), hAPP(hAPP(c_List_Ozip(_u15374, _u15375), _u15378), _u15379)))) | hBOOL(hAPP(hAPP(c_member(_u15375), _u15377), hAPP(c_List_Oset(_u15375), _u15379))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__zip__rightD ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__zip__rightD-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15381), _u15383), hAPP(c_List_Oset(_u15381), _u15385))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15380, _u15381)), hAPP(hAPP(c_Product__Type_OPair(_u15380, _u15381), _u15382), _u15383)), hAPP(c_List_Oset(tc_prod(_u15380, _u15381)), hAPP(hAPP(c_List_Ozip(_u15380, _u15381), _u15384), _u15385)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__zip__leftD ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__zip__leftD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15386, _u15387)), hAPP(hAPP(c_Product__Type_OPair(_u15386, _u15387), _u15388), _u15389)), hAPP(c_List_Oset(tc_prod(_u15386, _u15387)), hAPP(hAPP(c_List_Ozip(_u15386, _u15387), _u15390), _u15391)))) | hBOOL(hAPP(hAPP(c_member(_u15386), _u15388), hAPP(c_List_Oset(_u15386), _u15390))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_zip__same ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_zip__same-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15396, _u15396)), hAPP(hAPP(c_Product__Type_OPair(_u15396, _u15396), _u15398), _u15400)), hAPP(c_List_Oset(tc_prod(_u15396, _u15396)), hAPP(hAPP(c_List_Ozip(_u15396, _u15396), _u15402), _u15402)))) | hBOOL(hAPP(hAPP(c_member(_u15396), _u15398), hAPP(c_List_Oset(_u15396), _u15402))) )).
% 12.54/12.74 cnf(fact_zip__same-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15396, _u15396)), hAPP(hAPP(c_Product__Type_OPair(_u15396, _u15396), _u15398), _u15400)), hAPP(c_List_Oset(tc_prod(_u15396, _u15396)), hAPP(hAPP(c_List_Ozip(_u15396, _u15396), _u15402), _u15402)))) | ( _u15398 = _u15400) )).
% 12.54/12.74 cnf(fact_zip__same-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15397), _u15399), hAPP(c_List_Oset(_u15397), _u15403))) | ( _u15399 != _u15401) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15397, _u15397)), hAPP(hAPP(c_Product__Type_OPair(_u15397, _u15397), _u15399), _u15401)), hAPP(c_List_Oset(tc_prod(_u15397, _u15397)), hAPP(hAPP(c_List_Ozip(_u15397, _u15397), _u15403), _u15403)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_nth__zip ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_nth__zip-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15404), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15405)), _u15406))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15404), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15407)), _u15408))) | ( hAPP(hAPP(c_List_Onth(tc_prod(_u15405, _u15407)), hAPP(hAPP(c_List_Ozip(_u15405, _u15407), _u15406), _u15408)), _u15404) = hAPP(hAPP(c_Product__Type_OPair(_u15405, _u15407), hAPP(hAPP(c_List_Onth(_u15405), _u15406), _u15404)), hAPP(hAPP(c_List_Onth(_u15407), _u15408), _u15404))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_greaterThanLessThan__upto ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_greaterThanLessThan__upto-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u15409, _u15410) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15409), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u15410), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listsum__setsum__nth ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listsum__setsum__nth-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15411) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15411), _u15412) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u15411), hAPP(c_List_Onth(_u15411), _u15412)), 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(_u15411)), _u15412)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listsum__eq__0__nat__iff__nat ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listsum__eq__0__nat__iff__nat-1, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15416) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u15413), hAPP(c_List_Oset(tc_Nat_Onat), _u15416))) | ( _u15413 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.74 cnf(fact_listsum__eq__0__nat__iff__nat-2, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15417) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem426(_u15417)), hAPP(c_List_Oset(tc_Nat_Onat), _u15417))) )).
% 12.54/12.74 cnf(fact_listsum__eq__0__nat__iff__nat-3, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15417) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem426(_u15417) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_atLeastAtMost__upto ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_atLeastAtMost__upto-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u15418, _u15419) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15418, _u15419))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__upto ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__upto-1, axiom, ( ( hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15420, _u15421)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u15420, _u15421)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_elem__le__listsum__nat ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_elem__le__listsum__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15422), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u15423))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u15423), _u15422)), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15423))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listsum__simps_I2_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listsum__simps_I2_J-1, axiom, ( ~class_Groups_Omonoid__add(_u15424) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15424), hAPP(hAPP(c_List_Olist_OCons(_u15424), _u15425), _u15426)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15424), _u15425), hAPP(c_List_Omonoid__add__class_Olistsum(_u15424), _u15426))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_atLeastLessThan__upto ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_atLeastLessThan__upto-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u15427), _u15428) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15427, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u15428), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_greaterThanAtMost__upto ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_greaterThanAtMost__upto-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u15429, _u15430) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15429), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u15430))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_nat__list__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_nat__list__def-1, axiom, ( ~c_List_Onat__list(_u15432) | c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u15432)) )).
% 12.54/12.74 cnf(fact_nat__list__def-2, axiom, ( ~c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u15433)) | c_List_Onat__list(_u15433) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__size__pointwise ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__size__pointwise-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u15435, _u15437, _u15436)), c_List_Olist_Olist__size(_u15435, _u15438, _u15436))) | hBOOL(hAPP(hAPP(c_member(_u15435), skolem427(_u15438, _u15437, _u15436, _u15435)), hAPP(c_List_Oset(_u15435), _u15436))) )).
% 12.54/12.74 cnf(fact_list__size__pointwise-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u15435, _u15437, _u15436)), c_List_Olist_Olist__size(_u15435, _u15438, _u15436))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u15437, skolem427(_u15438, _u15437, _u15436, _u15435))), hAPP(_u15438, skolem427(_u15438, _u15437, _u15436, _u15435)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listsum__update__nat ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listsum__update__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15439), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u15440))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Olist__update(tc_Nat_Onat, _u15440), _u15439), _u15441)) = 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), _u15440)), _u15441)), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u15440), _u15439))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_butlast__take ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_butlast__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15442), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15443)), _u15444))) | ( c_List_Obutlast(_u15443, hAPP(hAPP(c_List_Otake(_u15443), _u15442), _u15444)) = hAPP(hAPP(c_List_Otake(_u15443), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15442), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15444)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__update__beyond ( axiom ) converted to clauses:
% 12.54/12.74 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(_u15445)), _u15446)), _u15447)) | ( hAPP(hAPP(c_List_Olist__update(_u15445, _u15446), _u15447), _u15448) = _u15446) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_nth__list__update__neq ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_nth__list__update__neq-1, axiom, ( ( _u15449 = _u15450) | ( hAPP(hAPP(c_List_Onth(_u15451), hAPP(hAPP(c_List_Olist__update(_u15451, _u15452), _u15449), _u15453)), _u15450) = hAPP(hAPP(c_List_Onth(_u15451), _u15452), _u15450)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__update__id ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__update__id-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15454, _u15455), _u15456), hAPP(hAPP(c_List_Onth(_u15454), _u15455), _u15456)) = _u15455) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_butlast__list__update ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_butlast__list__update-1, axiom, ( ( _u15461 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15463)), _u15465)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u15463, hAPP(hAPP(c_List_Olist__update(_u15463, _u15465), _u15461), _u15467)) = c_List_Obutlast(_u15463, _u15465)) )).
% 12.54/12.74 cnf(fact_butlast__list__update-2, axiom, ( ( _u15462 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15464)), _u15466)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u15464, hAPP(hAPP(c_List_Olist__update(_u15464, _u15466), _u15462), _u15468)) = hAPP(hAPP(c_List_Olist__update(_u15464, c_List_Obutlast(_u15464, _u15466)), _u15462), _u15468)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_length__list__update ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_length__list__update-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15469)), hAPP(hAPP(c_List_Olist__update(_u15469, _u15470), _u15471), _u15472)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15469)), _u15470)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_zip__update ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_zip__update-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u15473, _u15474), hAPP(hAPP(c_List_Olist__update(_u15473, _u15475), _u15476), _u15477)), hAPP(hAPP(c_List_Olist__update(_u15474, _u15478), _u15476), _u15479)) = hAPP(hAPP(c_List_Olist__update(tc_prod(_u15473, _u15474), hAPP(hAPP(c_List_Ozip(_u15473, _u15474), _u15475), _u15478)), _u15476), hAPP(hAPP(c_Product__Type_OPair(_u15473, _u15474), _u15477), _u15479))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_update__zip ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_update__zip-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(tc_prod(_u15480, _u15481), hAPP(hAPP(c_List_Ozip(_u15480, _u15481), _u15482), _u15483)), _u15484), _u15485) = hAPP(hAPP(c_List_Ozip(_u15480, _u15481), hAPP(hAPP(c_List_Olist__update(_u15480, _u15482), _u15484), hAPP(c_Product__Type_Ofst(_u15480, _u15481), _u15485))), hAPP(hAPP(c_List_Olist__update(_u15481, _u15483), _u15484), hAPP(c_Product__Type_Osnd(_u15480, _u15481), _u15485)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__update__overwrite ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__update__overwrite-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15486, hAPP(hAPP(c_List_Olist__update(_u15486, _u15487), _u15488), _u15489)), _u15488), _u15490) = hAPP(hAPP(c_List_Olist__update(_u15486, _u15487), _u15488), _u15490)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__update__swap ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__update__swap-1, axiom, ( ( _u15491 = _u15492) | ( hAPP(hAPP(c_List_Olist__update(_u15493, hAPP(hAPP(c_List_Olist__update(_u15493, _u15494), _u15491), _u15495)), _u15492), _u15496) = hAPP(hAPP(c_List_Olist__update(_u15493, hAPP(hAPP(c_List_Olist__update(_u15493, _u15494), _u15492), _u15496)), _u15491), _u15495)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__update_Osimps_I2_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__update_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15497, hAPP(hAPP(c_List_Olist_OCons(_u15497), _u15498), _u15499)), _u15500), _u15501) = c_Nat_Onat_Onat__case(tc_List_Olist(_u15497), hAPP(hAPP(c_List_Olist_OCons(_u15497), _u15501), _u15499), hAPP(hAPP(c_COMBB(tc_List_Olist(_u15497), tc_List_Olist(_u15497), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u15497), _u15498)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u15497, tc_List_Olist(_u15497)), c_List_Olist__update(_u15497, _u15499)), _u15501)), _u15500)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__update__code_I3_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__update__code_I3_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15502, hAPP(hAPP(c_List_Olist_OCons(_u15502), _u15503), _u15504)), hAPP(c_Nat_OSuc, _u15505)), _u15506) = hAPP(hAPP(c_List_Olist_OCons(_u15502), _u15503), hAPP(hAPP(c_List_Olist__update(_u15502, _u15504), _u15505), _u15506))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__update__code_I2_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__update__code_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15507, hAPP(hAPP(c_List_Olist_OCons(_u15507), _u15508), _u15509)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15510) = hAPP(hAPP(c_List_Olist_OCons(_u15507), _u15510), _u15509)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_in__set__butlastD ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_in__set__butlastD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15511), _u15512), hAPP(c_List_Oset(_u15511), c_List_Obutlast(_u15511, _u15513)))) | hBOOL(hAPP(hAPP(c_member(_u15511), _u15512), hAPP(c_List_Oset(_u15511), _u15513))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__update__subsetI ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__update__subsetI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15514, tc_HOL_Obool)), hAPP(c_List_Oset(_u15514), _u15515)), _u15516)) | ~hBOOL(hAPP(hAPP(c_member(_u15514), _u15517), _u15516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15514, tc_HOL_Obool)), hAPP(c_List_Oset(_u15514), hAPP(hAPP(c_List_Olist__update(_u15514, _u15515), _u15518), _u15517))), _u15516)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__update__subset__insert ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__update__subset__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15519, tc_HOL_Obool)), hAPP(c_List_Oset(_u15519), hAPP(hAPP(c_List_Olist__update(_u15519, _u15520), _u15521), _u15522))), hAPP(hAPP(c_Set_Oinsert(_u15519), _u15522), hAPP(c_List_Oset(_u15519), _u15520)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_nth__list__update__eq ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_nth__list__update__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15523), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15524)), _u15525))) | ( hAPP(hAPP(c_List_Onth(_u15524), hAPP(hAPP(c_List_Olist__update(_u15524, _u15525), _u15523), _u15526)), _u15523) = _u15526) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__update__same__conv ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__update__same__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15527), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15528)), _u15529))) | ( hAPP(hAPP(c_List_Olist__update(_u15528, _u15529), _u15527), _u15530) != _u15529) | ( hAPP(hAPP(c_List_Onth(_u15528), _u15529), _u15527) = _u15530) )).
% 12.54/12.74 cnf(fact_list__update__same__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15527), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15528)), _u15529))) | ( hAPP(hAPP(c_List_Onth(_u15528), _u15529), _u15527) != _u15530) | ( hAPP(hAPP(c_List_Olist__update(_u15528, _u15529), _u15527), _u15530) = _u15529) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_nth__list__update ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_nth__list__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15531), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15532)), _u15533))) | ( _u15531 != _u15534) | ( hAPP(hAPP(c_List_Onth(_u15532), hAPP(hAPP(c_List_Olist__update(_u15532, _u15533), _u15531), _u15535)), _u15534) = _u15535) )).
% 12.54/12.74 cnf(fact_nth__list__update-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15531), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15532)), _u15533))) | ( _u15531 = _u15534) | ( hAPP(hAPP(c_List_Onth(_u15532), hAPP(hAPP(c_List_Olist__update(_u15532, _u15533), _u15531), _u15535)), _u15534) = hAPP(hAPP(c_List_Onth(_u15532), _u15533), _u15534)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_take__butlast ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_take__butlast-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15536), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15537)), _u15538))) | ( hAPP(hAPP(c_List_Otake(_u15537), _u15536), c_List_Obutlast(_u15537, _u15538)) = hAPP(hAPP(c_List_Otake(_u15537), _u15536), _u15538)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_length__butlast ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_length__butlast-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15539)), c_List_Obutlast(_u15539, _u15540)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15539)), _u15540)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__update__memI ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__update__memI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15541), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15542)), _u15543))) | hBOOL(hAPP(hAPP(c_member(_u15542), _u15544), hAPP(c_List_Oset(_u15542), hAPP(hAPP(c_List_Olist__update(_u15542, _u15543), _u15541), _u15544)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_butlast__conv__take ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_butlast__conv__take-1, axiom, ( ( c_List_Obutlast(_u15545, _u15546) = hAPP(hAPP(c_List_Otake(_u15545), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15545)), _u15546)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15546)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listrel1__iff__update ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listrel1__iff__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15555), tc_List_Olist(_u15555))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15555), tc_List_Olist(_u15555)), _u15557), _u15559)), c_List_Olistrel1(_u15555, _u15561))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15555, _u15555)), hAPP(hAPP(c_Product__Type_OPair(_u15555, _u15555), hAPP(hAPP(c_List_Onth(_u15555), _u15557), skolem429(_u15561, _u15559, _u15557, _u15555))), skolem428(_u15561, _u15559, _u15557, _u15555))), _u15561)) )).
% 12.54/12.74 cnf(fact_listrel1__iff__update-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15555), tc_List_Olist(_u15555))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15555), tc_List_Olist(_u15555)), _u15557), _u15559)), c_List_Olistrel1(_u15555, _u15561))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem429(_u15561, _u15559, _u15557, _u15555)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15555)), _u15557))) )).
% 12.54/12.74 cnf(fact_listrel1__iff__update-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15555), tc_List_Olist(_u15555))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15555), tc_List_Olist(_u15555)), _u15557), _u15559)), c_List_Olistrel1(_u15555, _u15561))) | ( _u15559 = hAPP(hAPP(c_List_Olist__update(_u15555, _u15557), skolem429(_u15561, _u15559, _u15557, _u15555)), skolem428(_u15561, _u15559, _u15557, _u15555))) )).
% 12.54/12.74 cnf(fact_listrel1__iff__update-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15556, _u15556)), hAPP(hAPP(c_Product__Type_OPair(_u15556, _u15556), hAPP(hAPP(c_List_Onth(_u15556), _u15558), _u15549)), _u15550)), _u15562)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15549), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15556)), _u15558))) | ( _u15560 != hAPP(hAPP(c_List_Olist__update(_u15556, _u15558), _u15549), _u15550)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15556), tc_List_Olist(_u15556))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15556), tc_List_Olist(_u15556)), _u15558), _u15560)), c_List_Olistrel1(_u15556, _u15562))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_distinct__list__update ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_distinct__list__update-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15563), _u15564)) | hBOOL(hAPP(hAPP(c_member(_u15563), _u15565), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15563, tc_HOL_Obool)), hAPP(c_List_Oset(_u15563), _u15564)), hAPP(hAPP(c_Set_Oinsert(_u15563), hAPP(hAPP(c_List_Onth(_u15563), _u15564), _u15566)), c_Orderings_Obot__class_Obot(tc_fun(_u15563, tc_HOL_Obool)))))) | hBOOL(hAPP(c_List_Odistinct(_u15563), hAPP(hAPP(c_List_Olist__update(_u15563, _u15564), _u15566), _u15565))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_distinct__upto ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_distinct__upto-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint), c_List_Oupto(_u15567, _u15568))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_distinct__take ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_distinct__take-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15569), _u15570)) | hBOOL(hAPP(c_List_Odistinct(_u15569), hAPP(hAPP(c_List_Otake(_u15569), _u15571), _u15570))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_distinct__sublistI ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_distinct__sublistI-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15572), _u15573)) | hBOOL(hAPP(c_List_Odistinct(_u15572), c_List_Osublist(_u15572, _u15573, _u15574))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_distinct__zipI1 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_distinct__zipI1-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15575), _u15576)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u15575, _u15577)), hAPP(hAPP(c_List_Ozip(_u15575, _u15577), _u15576), _u15578))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_distinct__zipI2 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_distinct__zipI2-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15579), _u15580)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u15581, _u15579)), hAPP(hAPP(c_List_Ozip(_u15581, _u15579), _u15582), _u15580))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_distinct_Osimps_I2_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_distinct_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15586), hAPP(hAPP(c_List_Olist_OCons(_u15586), _u15588), _u15590))) | ~hBOOL(hAPP(hAPP(c_member(_u15586), _u15588), hAPP(c_List_Oset(_u15586), _u15590))) )).
% 12.54/12.74 cnf(fact_distinct_Osimps_I2_J-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15586), hAPP(hAPP(c_List_Olist_OCons(_u15586), _u15588), _u15590))) | hBOOL(hAPP(c_List_Odistinct(_u15586), _u15590)) )).
% 12.54/12.74 cnf(fact_distinct_Osimps_I2_J-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15587), _u15589), hAPP(c_List_Oset(_u15587), _u15591))) | ~hBOOL(hAPP(c_List_Odistinct(_u15587), _u15591)) | hBOOL(hAPP(c_List_Odistinct(_u15587), hAPP(hAPP(c_List_Olist_OCons(_u15587), _u15589), _u15591))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_distinct__card ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_distinct__card-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15592), _u15593)) | ( hAPP(c_Finite__Set_Ocard(_u15592), hAPP(c_List_Oset(_u15592), _u15593)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15592)), _u15593)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_card__distinct ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_card__distinct-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u15594), hAPP(c_List_Oset(_u15594), _u15595)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15594)), _u15595)) | hBOOL(hAPP(c_List_Odistinct(_u15594), _u15595)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_nth__eq__iff__index__eq ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_nth__eq__iff__index__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15596), _u15597)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15598), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15596)), _u15597))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15599), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15596)), _u15597))) | ( hAPP(hAPP(c_List_Onth(_u15596), _u15597), _u15598) != hAPP(hAPP(c_List_Onth(_u15596), _u15597), _u15599)) | ( _u15598 = _u15599) )).
% 12.54/12.74 cnf(fact_nth__eq__iff__index__eq-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15596), _u15597)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15598), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15596)), _u15597))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15599), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15596)), _u15597))) | ( _u15598 != _u15599) | ( hAPP(hAPP(c_List_Onth(_u15596), _u15597), _u15598) = hAPP(hAPP(c_List_Onth(_u15596), _u15597), _u15599)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_distinct__conv__nth ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_distinct__conv__nth-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15606), _u15608)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15601), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15606)), _u15608))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15600), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15606)), _u15608))) | ( _u15601 = _u15600) | ( hAPP(hAPP(c_List_Onth(_u15606), _u15608), _u15601) != hAPP(hAPP(c_List_Onth(_u15606), _u15608), _u15600)) )).
% 12.54/12.74 cnf(fact_distinct__conv__nth-2, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u15607), _u15609)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem430(_u15609, _u15607)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15607)), _u15609))) )).
% 12.54/12.74 cnf(fact_distinct__conv__nth-3, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u15607), _u15609)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem431(_u15609, _u15607)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15607)), _u15609))) )).
% 12.54/12.74 cnf(fact_distinct__conv__nth-4, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u15607), _u15609)) | ( skolem430(_u15609, _u15607) != skolem431(_u15609, _u15607)) )).
% 12.54/12.74 cnf(fact_distinct__conv__nth-5, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u15607), _u15609)) | ( hAPP(hAPP(c_List_Onth(_u15607), _u15609), skolem430(_u15609, _u15607)) = hAPP(hAPP(c_List_Onth(_u15607), _u15609), skolem431(_u15609, _u15607))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_distinct__listsum__conv__Setsum ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_distinct__listsum__conv__Setsum-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15610) | ~hBOOL(hAPP(c_List_Odistinct(_u15610), _u15611)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15610), _u15611) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15610, _u15610), c_COMBI(_u15610)), hAPP(c_List_Oset(_u15610), _u15611))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_Nitpick_Ocard_H__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_Nitpick_Ocard_H__def-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15614), _u15616)) | ( c_Nitpick_Ocard_H(_u15614, _u15616) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15614)), c_Hilbert__Choice_OEps(tc_List_Olist(_u15614), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15614), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15614)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15614), tc_fun(_u15614, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15614, tc_HOL_Obool), tc_fun(tc_fun(_u15614, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15614)), c_fequal), c_List_Oset(_u15614))), _u15616))), c_List_Odistinct(_u15614))))) )).
% 12.54/12.74 cnf(fact_Nitpick_Ocard_H__def-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u15615), _u15617)) | ( c_Nitpick_Ocard_H(_u15615, _u15617) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_nth__take__lemma ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_nth__take__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15619), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15620)), _u15621))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15619), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15620)), _u15622))) | ( hAPP(hAPP(c_List_Otake(_u15620), _u15619), _u15621) = hAPP(hAPP(c_List_Otake(_u15620), _u15619), _u15622)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem432(_u15622, _u15621, _u15620, _u15619)), _u15619)) )).
% 12.54/12.74 cnf(fact_nth__take__lemma-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15619), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15620)), _u15621))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15619), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15620)), _u15622))) | ( hAPP(hAPP(c_List_Otake(_u15620), _u15619), _u15621) = hAPP(hAPP(c_List_Otake(_u15620), _u15619), _u15622)) | ( hAPP(hAPP(c_List_Onth(_u15620), _u15621), skolem432(_u15622, _u15621, _u15620, _u15619)) != hAPP(hAPP(c_List_Onth(_u15620), _u15622), skolem432(_u15622, _u15621, _u15620, _u15619))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__remove1__eq ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__remove1__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15623), _u15624)) | ( hAPP(c_List_Oset(_u15623), c_List_Oremove1(_u15623, _u15625, _u15624)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15623, tc_HOL_Obool)), hAPP(c_List_Oset(_u15623), _u15624)), hAPP(hAPP(c_Set_Oinsert(_u15623), _u15625), c_Orderings_Obot__class_Obot(tc_fun(_u15623, tc_HOL_Obool))))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_take__Cons__number__of ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_take__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15630) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u15632), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15630)), hAPP(hAPP(c_List_Olist_OCons(_u15632), _u15634), _u15636)) = c_List_Olist_ONil(_u15632)) )).
% 12.54/12.74 cnf(fact_take__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15631) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u15633), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15631)), hAPP(hAPP(c_List_Olist_OCons(_u15633), _u15635), _u15637)) = hAPP(hAPP(c_List_Olist_OCons(_u15633), _u15635), hAPP(hAPP(c_List_Otake(_u15633), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15631)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15637))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_lists_ONil ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_lists_ONil-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15638)), c_List_Olist_ONil(_u15638)), c_List_Olists(_u15638, _u15639))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listrel__Nil2 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listrel__Nil2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15640), tc_List_Olist(_u15640))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15640), tc_List_Olist(_u15640)), _u15641), c_List_Olist_ONil(_u15640))), c_List_Olistrel(_u15640, _u15642))) | ( _u15641 = c_List_Olist_ONil(_u15640)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listrel__Nil1 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listrel__Nil1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15643), tc_List_Olist(_u15643))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15643), tc_List_Olist(_u15643)), c_List_Olist_ONil(_u15643)), _u15644)), c_List_Olistrel(_u15643, _u15645))) | ( _u15644 = c_List_Olist_ONil(_u15643)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_distinct__butlast ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_distinct__butlast-1, axiom, ( ( _u15646 = c_List_Olist_ONil(_u15647)) | ~hBOOL(hAPP(c_List_Odistinct(_u15647), _u15646)) | hBOOL(hAPP(c_List_Odistinct(_u15647), c_List_Obutlast(_u15647, _u15646))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_distinct__remove1 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_distinct__remove1-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15648), _u15649)) | hBOOL(hAPP(c_List_Odistinct(_u15648), c_List_Oremove1(_u15648, _u15650, _u15649))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_distinct_Osimps_I1_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_distinct_Osimps_I1_J-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u15651), c_List_Olist_ONil(_u15651))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_butlast_Osimps_I1_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_butlast_Osimps_I1_J-1, axiom, ( ( c_List_Obutlast(_u15652, c_List_Olist_ONil(_u15652)) = c_List_Olist_ONil(_u15652)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_butlast_Osimps_I2_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_butlast_Osimps_I2_J-1, axiom, ( ( _u15656 != c_List_Olist_ONil(_u15658)) | ( c_List_Obutlast(_u15658, hAPP(hAPP(c_List_Olist_OCons(_u15658), _u15660), _u15656)) = c_List_Olist_ONil(_u15658)) )).
% 12.54/12.74 cnf(fact_butlast_Osimps_I2_J-2, axiom, ( ( _u15657 = c_List_Olist_ONil(_u15659)) | ( c_List_Obutlast(_u15659, hAPP(hAPP(c_List_Olist_OCons(_u15659), _u15661), _u15657)) = hAPP(hAPP(c_List_Olist_OCons(_u15659), _u15661), c_List_Obutlast(_u15659, _u15657))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list_Osimps_I2_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list_Osimps_I2_J-1, axiom, ( ( c_List_Olist_ONil(_u15662) != hAPP(hAPP(c_List_Olist_OCons(_u15662), _u15663), _u15664)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list_Osimps_I3_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list_Osimps_I3_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15665), _u15666), _u15667) != c_List_Olist_ONil(_u15665)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_remove1_Osimps_I2_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_remove1_Osimps_I2_J-1, axiom, ( ( _u15672 != _u15674) | ( c_List_Oremove1(_u15676, _u15672, hAPP(hAPP(c_List_Olist_OCons(_u15676), _u15674), _u15678)) = _u15678) )).
% 12.54/12.74 cnf(fact_remove1_Osimps_I2_J-2, axiom, ( ( _u15673 = _u15675) | ( c_List_Oremove1(_u15677, _u15673, hAPP(hAPP(c_List_Olist_OCons(_u15677), _u15675), _u15679)) = hAPP(hAPP(c_List_Olist_OCons(_u15677), _u15675), c_List_Oremove1(_u15677, _u15673, _u15679))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_upto__empty ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_upto__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u15680), _u15681)) | ( c_List_Oupto(_u15681, _u15680) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_take__Nil ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_take__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15682), _u15683), c_List_Olist_ONil(_u15682)) = c_List_Olist_ONil(_u15682)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_take__eq__Nil ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_take__eq__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15687), _u15689), _u15691) != c_List_Olist_ONil(_u15687)) | ( _u15689 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u15691 = c_List_Olist_ONil(_u15687)) )).
% 12.54/12.74 cnf(fact_take__eq__Nil-2, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15688), _u15690), _u15692) = c_List_Olist_ONil(_u15688)) | ( _u15690 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.74 cnf(fact_take__eq__Nil-3, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15688), _u15690), _u15692) = c_List_Olist_ONil(_u15688)) | ( _u15692 != c_List_Olist_ONil(_u15688)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_take__0 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_take__0-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15693), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15694) = c_List_Olist_ONil(_u15693)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sublist__nil ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_sublist__nil-1, axiom, ( ( c_List_Osublist(_u15695, c_List_Olist_ONil(_u15695), _u15696) = c_List_Olist_ONil(_u15695)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_remove1__commute ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_remove1__commute-1, axiom, ( ( c_List_Oremove1(_u15697, _u15698, c_List_Oremove1(_u15697, _u15699, _u15700)) = c_List_Oremove1(_u15697, _u15699, c_List_Oremove1(_u15697, _u15698, _u15700))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_remove1_Osimps_I1_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_remove1_Osimps_I1_J-1, axiom, ( ( c_List_Oremove1(_u15701, _u15702, c_List_Olist_ONil(_u15701)) = c_List_Olist_ONil(_u15701)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listrelp_Oequations_I1_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listrelp_Oequations_I1_J-1, axiom, ( c_List_Olistrelp(_u15703, _u15704, c_List_Olist_ONil(_u15703), c_List_Olist_ONil(_u15703)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listrelp_ONil ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listrelp_ONil-1, axiom, ( c_List_Olistrelp(_u15705, _u15706, c_List_Olist_ONil(_u15705), c_List_Olist_ONil(_u15705)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_zip__Nil ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_zip__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u15707, _u15708), c_List_Olist_ONil(_u15707)), _u15709) = c_List_Olist_ONil(tc_prod(_u15707, _u15708))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_zip_Osimps_I1_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_zip_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u15710, _u15711), _u15712), c_List_Olist_ONil(_u15711)) = c_List_Olist_ONil(tc_prod(_u15710, _u15711))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listsum__simps_I1_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listsum__simps_I1_J-1, axiom, ( ~class_Groups_Omonoid__add(_u15713) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15713), c_List_Olist_ONil(_u15713)) = c_Groups_Ozero__class_Ozero(_u15713)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_length__0__conv ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_length__0__conv-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15716)), _u15718) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u15718 = c_List_Olist_ONil(_u15716)) )).
% 12.54/12.74 cnf(fact_length__0__conv-2, axiom, ( ( _u15719 != c_List_Olist_ONil(_u15717)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15717)), _u15719) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list_Osize_I3_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15720)), c_List_Olist_ONil(_u15720)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_List_Oset_Osimps_I1_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_List_Oset_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Oset(_u15721), c_List_Olist_ONil(_u15721)) = c_Orderings_Obot__class_Obot(tc_fun(_u15721, tc_HOL_Obool))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__empty2 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__empty2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u15724, tc_HOL_Obool)) != hAPP(c_List_Oset(_u15724), _u15726)) | ( _u15726 = c_List_Olist_ONil(_u15724)) )).
% 12.54/12.74 cnf(fact_set__empty2-2, axiom, ( ( _u15727 != c_List_Olist_ONil(_u15725)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u15725, tc_HOL_Obool)) = hAPP(c_List_Oset(_u15725), _u15727)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__empty ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__empty-1, axiom, ( ( hAPP(c_List_Oset(_u15730), _u15732) != c_Orderings_Obot__class_Obot(tc_fun(_u15730, tc_HOL_Obool))) | ( _u15732 = c_List_Olist_ONil(_u15730)) )).
% 12.54/12.74 cnf(fact_set__empty-2, axiom, ( ( _u15733 != c_List_Olist_ONil(_u15731)) | ( hAPP(c_List_Oset(_u15731), _u15733) = c_Orderings_Obot__class_Obot(tc_fun(_u15731, tc_HOL_Obool))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list_Osize_I1_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list_Osize_I1_J-1, axiom, ( ( c_List_Olist_Olist__size(_u15734, _u15735, c_List_Olist_ONil(_u15734)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__update__code_I1_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__update__code_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15736, c_List_Olist_ONil(_u15736)), _u15737), _u15738) = c_List_Olist_ONil(_u15736)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__update_Osimps_I1_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__update_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15739, c_List_Olist_ONil(_u15739)), _u15740), _u15741) = c_List_Olist_ONil(_u15739)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__update__nonempty ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__update__nonempty-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15746, _u15748), _u15750), _u15752) != c_List_Olist_ONil(_u15746)) | ( _u15748 = c_List_Olist_ONil(_u15746)) )).
% 12.54/12.74 cnf(fact_list__update__nonempty-2, axiom, ( ( _u15749 != c_List_Olist_ONil(_u15747)) | ( hAPP(hAPP(c_List_Olist__update(_u15747, _u15749), _u15751), _u15753) = c_List_Olist_ONil(_u15747)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_in__set__remove1 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_in__set__remove1-1, axiom, ( ( _u15754 = _u15755) | ~hBOOL(hAPP(hAPP(c_member(_u15756), _u15754), hAPP(c_List_Oset(_u15756), c_List_Oremove1(_u15756, _u15755, _u15757)))) | hBOOL(hAPP(hAPP(c_member(_u15756), _u15754), hAPP(c_List_Oset(_u15756), _u15757))) )).
% 12.54/12.74 cnf(fact_in__set__remove1-2, axiom, ( ( _u15754 = _u15755) | ~hBOOL(hAPP(hAPP(c_member(_u15756), _u15754), hAPP(c_List_Oset(_u15756), _u15757))) | hBOOL(hAPP(hAPP(c_member(_u15756), _u15754), hAPP(c_List_Oset(_u15756), c_List_Oremove1(_u15756, _u15755, _u15757)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_notin__set__remove1 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_notin__set__remove1-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15758), _u15759), hAPP(c_List_Oset(_u15758), _u15760))) | ~hBOOL(hAPP(hAPP(c_member(_u15758), _u15759), hAPP(c_List_Oset(_u15758), c_List_Oremove1(_u15758, _u15761, _u15760)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_remove1__idem ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_remove1__idem-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15762), _u15763), hAPP(c_List_Oset(_u15762), _u15764))) | ( c_List_Oremove1(_u15762, _u15763, _u15764) = _u15764) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sublist__empty ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_sublist__empty-1, axiom, ( ( c_List_Osublist(_u15765, _u15766, c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) = c_List_Olist_ONil(_u15765)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__remove1__subset ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__remove1__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15767, tc_HOL_Obool)), hAPP(c_List_Oset(_u15767), c_List_Oremove1(_u15767, _u15768, _u15769))), hAPP(c_List_Oset(_u15767), _u15769))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_length__greater__0__conv ( axiom ) converted to clauses:
% 12.54/12.74 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(_u15772)), _u15774))) | ( _u15774 != c_List_Olist_ONil(_u15772)) )).
% 12.54/12.74 cnf(fact_length__greater__0__conv-2, axiom, ( ( _u15775 = c_List_Olist_ONil(_u15773)) | 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(_u15773)), _u15775))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_take__1__Cons ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_take__1__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15776), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u15776), _u15777), _u15778)) = hAPP(hAPP(c_List_Olist_OCons(_u15776), _u15777), c_List_Olist_ONil(_u15776))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_not__listrel1__Nil ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_not__listrel1__Nil-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15779), tc_List_Olist(_u15779))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15779), tc_List_Olist(_u15779)), _u15780), c_List_Olist_ONil(_u15779))), c_List_Olistrel1(_u15779, _u15781))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_not__Nil__listrel1 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_not__Nil__listrel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15782), tc_List_Olist(_u15782))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15782), tc_List_Olist(_u15782)), c_List_Olist_ONil(_u15782)), _u15783)), c_List_Olistrel1(_u15782, _u15784))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listrel_ONil ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listrel_ONil-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15785), tc_List_Olist(_u15785))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15785), tc_List_Olist(_u15785)), c_List_Olist_ONil(_u15785)), c_List_Olist_ONil(_u15785))), c_List_Olistrel(_u15785, _u15786))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_lexord__Nil__right ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_lexord__Nil__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15787), tc_List_Olist(_u15787))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15787), tc_List_Olist(_u15787)), _u15788), c_List_Olist_ONil(_u15787))), c_List_Olexord(_u15787, _u15789))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_Nil2__notin__lex ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_Nil2__notin__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15790), tc_List_Olist(_u15790))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15790), tc_List_Olist(_u15790)), _u15791), c_List_Olist_ONil(_u15790))), c_List_Olex(_u15790, _u15792))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_Nil__notin__lex ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_Nil__notin__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15793), tc_List_Olist(_u15793))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15793), tc_List_Olist(_u15793)), c_List_Olist_ONil(_u15793)), _u15794)), c_List_Olex(_u15793, _u15795))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_take__Cons ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_take__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15796), _u15797), hAPP(hAPP(c_List_Olist_OCons(_u15796), _u15798), _u15799)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u15796), c_List_Olist_ONil(_u15796), hAPP(hAPP(c_COMBB(tc_List_Olist(_u15796), tc_List_Olist(_u15796), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u15796), _u15798)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u15796), tc_List_Olist(_u15796)), c_List_Otake(_u15796)), _u15799)), _u15797)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_upto_Osimps ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_upto_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15802), _u15804)) | ( c_List_Oupto(_u15802, _u15804) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u15802), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15802), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u15804))) )).
% 12.54/12.74 cnf(fact_upto_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15803), _u15805)) | ( c_List_Oupto(_u15803, _u15805) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sublist__singleton ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_sublist__singleton-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15809)) | ( c_List_Osublist(_u15811, hAPP(hAPP(c_List_Olist_OCons(_u15811), _u15813), c_List_Olist_ONil(_u15811)), _u15809) = hAPP(hAPP(c_List_Olist_OCons(_u15811), _u15813), c_List_Olist_ONil(_u15811))) )).
% 12.54/12.74 cnf(fact_sublist__singleton-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15810)) | ( c_List_Osublist(_u15812, hAPP(hAPP(c_List_Olist_OCons(_u15812), _u15814), c_List_Olist_ONil(_u15812)), _u15810) = c_List_Olist_ONil(_u15812)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_lists__empty ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_lists__empty-1, axiom, ( ( c_List_Olists(_u15815, c_Orderings_Obot__class_Obot(tc_fun(_u15815, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15815)), c_List_Olist_ONil(_u15815)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15815), tc_HOL_Obool)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_take__Cons_H ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_take__Cons_H-1, axiom, ( ( _u15820 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u15822), _u15820), hAPP(hAPP(c_List_Olist_OCons(_u15822), _u15824), _u15826)) = c_List_Olist_ONil(_u15822)) )).
% 12.54/12.74 cnf(fact_take__Cons_H-2, axiom, ( ( _u15821 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u15823), _u15821), hAPP(hAPP(c_List_Olist_OCons(_u15823), _u15825), _u15827)) = hAPP(hAPP(c_List_Olist_OCons(_u15823), _u15825), hAPP(hAPP(c_List_Otake(_u15823), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15821), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15827))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_upto__rec__number__of ( axiom ) converted to clauses:
% 12.54/12.74 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), _u15830)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15832))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15830), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15832)) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15830)), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15830)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15832)))) )).
% 12.54/12.74 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), _u15831)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15833))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15831), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15833)) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listrel__Nil ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listrel__Nil-1, axiom, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u15834), tc_List_Olist(_u15834), c_List_Olistrel(_u15834, _u15835)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15834)), c_List_Olist_ONil(_u15834)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15834), tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15834)), c_List_Olist_ONil(_u15834)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15834), tc_HOL_Obool)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__Cons__sing__Nil ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__Cons__sing__Nil-1, axiom, ( ( c_List_Oset__Cons(_u15836, _u15837, hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15836)), c_List_Olist_ONil(_u15836)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15836), tc_HOL_Obool)))) = hAPP(c_Set_Oimage(_u15836, tc_List_Olist(_u15836), hAPP(hAPP(c_COMBC(_u15836, tc_List_Olist(_u15836), tc_List_Olist(_u15836)), c_List_Olist_OCons(_u15836)), c_List_Olist_ONil(_u15836))), _u15837)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_length__remove1 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_length__remove1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15841), _u15843), hAPP(c_List_Oset(_u15841), _u15845))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15841)), c_List_Oremove1(_u15841, _u15843, _u15845)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15841)), _u15845)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.54/12.74 cnf(fact_length__remove1-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15842), _u15844), hAPP(c_List_Oset(_u15842), _u15846))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15842)), c_List_Oremove1(_u15842, _u15844, _u15846)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15842)), _u15846)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_upto_Opsimps ( axiom ) converted to clauses:
% 12.54/12.74 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), _u15847), _u15848))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15847), _u15848)) | ( c_List_Oupto(_u15847, _u15848) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u15847), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15847), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u15848))) )).
% 12.54/12.74 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), _u15847), _u15848))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15847), _u15848)) | ( c_List_Oupto(_u15847, _u15848) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_select ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_select-1, axiom, ( ( _u15849 = c_List_Olist_ONil(_u15850)) | hBOOL(hAPP(hAPP(c_member(_u15850), hAPP(c_Product__Type_Ofst(_u15850, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect(_u15850, _u15849), _u15851))), hAPP(c_List_Oset(_u15850), _u15849))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listset_Osimps_I1_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listset_Osimps_I1_J-1, axiom, ( ( c_List_Olistset(_u15852, c_List_Olist_ONil(tc_fun(_u15852, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15852)), c_List_Olist_ONil(_u15852)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15852), tc_HOL_Obool)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_zip__Cons1 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_zip__Cons1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u15853, _u15854), hAPP(hAPP(c_List_Olist_OCons(_u15853), _u15855), _u15856)), _u15857) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u15853, _u15854)), _u15854, c_List_Olist_ONil(tc_prod(_u15853, _u15854)), hAPP(hAPP(c_COMBC(_u15854, tc_fun(tc_List_Olist(_u15854), tc_List_Olist(tc_prod(_u15853, _u15854))), tc_fun(tc_List_Olist(_u15854), tc_List_Olist(tc_prod(_u15853, _u15854)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u15853, _u15854)), tc_List_Olist(tc_prod(_u15853, _u15854))), tc_fun(tc_fun(tc_List_Olist(_u15854), tc_List_Olist(tc_prod(_u15853, _u15854))), tc_fun(tc_List_Olist(_u15854), tc_List_Olist(tc_prod(_u15853, _u15854)))), _u15854), c_COMBB(tc_List_Olist(tc_prod(_u15853, _u15854)), tc_List_Olist(tc_prod(_u15853, _u15854)), tc_List_Olist(_u15854))), hAPP(hAPP(c_COMBB(tc_prod(_u15853, _u15854), tc_fun(tc_List_Olist(tc_prod(_u15853, _u15854)), tc_List_Olist(tc_prod(_u15853, _u15854))), _u15854), c_List_Olist_OCons(tc_prod(_u15853, _u15854))), hAPP(c_Product__Type_OPair(_u15853, _u15854), _u15855)))), hAPP(c_List_Ozip(_u15853, _u15854), _u15856))), _u15857)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list_Osimps_I5_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list_Osimps_I5_J-1, axiom, ( ( hAPP(c_List_Olist_Olist__case(_u15858, _u15859, _u15860, _u15861), hAPP(hAPP(c_List_Olist_OCons(_u15859), _u15862), _u15863)) = hAPP(hAPP(_u15861, _u15862), _u15863)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list_Osimps_I4_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list_Osimps_I4_J-1, axiom, ( ( hAPP(c_List_Olist_Olist__case(_u15864, _u15865, _u15866, _u15867), c_List_Olist_ONil(_u15865)) = _u15866) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listset_Osimps_I2_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listset_Osimps_I2_J-1, axiom, ( ( c_List_Olistset(_u15868, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u15868, tc_HOL_Obool)), _u15869), _u15870)) = c_List_Oset__Cons(_u15868, _u15869, c_List_Olistset(_u15868, _u15870))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_zip__Cons ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_zip__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u15871, _u15872), _u15873), hAPP(hAPP(c_List_Olist_OCons(_u15872), _u15874), _u15875)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u15871, _u15872)), _u15871, c_List_Olist_ONil(tc_prod(_u15871, _u15872)), hAPP(hAPP(c_COMBC(_u15871, tc_fun(tc_List_Olist(_u15871), tc_List_Olist(tc_prod(_u15871, _u15872))), tc_fun(tc_List_Olist(_u15871), tc_List_Olist(tc_prod(_u15871, _u15872)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u15871, _u15872)), tc_List_Olist(tc_prod(_u15871, _u15872))), tc_fun(tc_fun(tc_List_Olist(_u15871), tc_List_Olist(tc_prod(_u15871, _u15872))), tc_fun(tc_List_Olist(_u15871), tc_List_Olist(tc_prod(_u15871, _u15872)))), _u15871), c_COMBB(tc_List_Olist(tc_prod(_u15871, _u15872)), tc_List_Olist(tc_prod(_u15871, _u15872)), tc_List_Olist(_u15871))), hAPP(hAPP(c_COMBB(tc_prod(_u15871, _u15872), tc_fun(tc_List_Olist(tc_prod(_u15871, _u15872)), tc_List_Olist(tc_prod(_u15871, _u15872))), _u15871), c_List_Olist_OCons(tc_prod(_u15871, _u15872))), hAPP(hAPP(c_COMBC(_u15871, _u15872, tc_prod(_u15871, _u15872)), c_Product__Type_OPair(_u15871, _u15872)), _u15874)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15871), tc_List_Olist(_u15872), tc_List_Olist(tc_prod(_u15871, _u15872))), c_List_Ozip(_u15871, _u15872)), _u15875))), _u15873)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sorted__list__of__set__remove ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_sorted__list__of__set__remove-1, axiom, ( ~class_Orderings_Olinorder(_u15876) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15876), _u15877)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u15876, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15876, tc_HOL_Obool)), _u15877), hAPP(hAPP(c_Set_Oinsert(_u15876), _u15878), c_Orderings_Obot__class_Obot(tc_fun(_u15876, tc_HOL_Obool))))) = c_List_Oremove1(_u15876, _u15878, c_List_Olinorder__class_Osorted__list__of__set(_u15876, _u15877))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_upto_Opinduct ( axiom ) converted to clauses:
% 12.54/12.74 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), _u15881), _u15882))) | hBOOL(hAPP(hAPP(_u15883, _u15881), _u15882)) | 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), skolem433(_u15883, _u15882, _u15881)), skolem434(_u15883, _u15882, _u15881)))) )).
% 12.54/12.74 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), _u15881), _u15882))) | hBOOL(hAPP(hAPP(_u15883, _u15881), _u15882)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem433(_u15883, _u15882, _u15881)), skolem434(_u15883, _u15882, _u15881))) | hBOOL(hAPP(hAPP(_u15883, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem433(_u15883, _u15882, _u15881)), c_Groups_Oone__class_Oone(tc_Int_Oint))), skolem434(_u15883, _u15882, _u15881))) )).
% 12.54/12.74 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), _u15881), _u15882))) | hBOOL(hAPP(hAPP(_u15883, _u15881), _u15882)) | ~hBOOL(hAPP(hAPP(_u15883, skolem433(_u15883, _u15882, _u15881)), skolem434(_u15883, _u15882, _u15881))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sorted__list__of__set__empty ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_sorted__list__of__set__empty-1, axiom, ( ~class_Orderings_Olinorder(_u15884) | ( c_List_Olinorder__class_Osorted__list__of__set(_u15884, c_Orderings_Obot__class_Obot(tc_fun(_u15884, tc_HOL_Obool))) = c_List_Olist_ONil(_u15884)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_anamorph_Osimps ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_anamorph_Osimps-1, axiom, ( ( _u15890 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u15892, _u15894, _u15896), _u15890), _u15898) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15894), _u15892), c_List_Olist_ONil(_u15894)), _u15898)) )).
% 12.54/12.74 cnf(fact_anamorph_Osimps-2, axiom, ( ( _u15891 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u15893, _u15895, _u15897), _u15891), _u15899) = c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(_u15895), _u15893), tc_prod(_u15895, _u15893), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15895), _u15893), c_List_Olist_ONil(_u15895)), _u15899), hAPP(c_Product__Type_Oprod_Oprod__case(_u15895, _u15893, tc_prod(tc_List_Olist(_u15895), _u15893)), hAPP(hAPP(c_COMBC(_u15895, tc_fun(_u15893, tc_prod(tc_List_Olist(_u15895), _u15893)), tc_fun(_u15893, tc_prod(tc_List_Olist(_u15895), _u15893))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(_u15895), _u15893), tc_prod(tc_List_Olist(_u15895), _u15893)), tc_fun(tc_fun(_u15893, tc_prod(tc_List_Olist(_u15895), _u15893)), tc_fun(_u15893, tc_prod(tc_List_Olist(_u15895), _u15893))), _u15895), c_COMBB(tc_prod(tc_List_Olist(_u15895), _u15893), tc_prod(tc_List_Olist(_u15895), _u15893), _u15893)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15895), tc_fun(_u15893, tc_prod(tc_List_Olist(_u15895), _u15893))), tc_fun(tc_prod(tc_List_Olist(_u15895), _u15893), tc_prod(tc_List_Olist(_u15895), _u15893)), _u15895), c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u15895), _u15893, tc_prod(tc_List_Olist(_u15895), _u15893))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15895), tc_List_Olist(_u15895)), tc_fun(tc_List_Olist(_u15895), tc_fun(_u15893, tc_prod(tc_List_Olist(_u15895), _u15893))), _u15895), hAPP(c_COMBB(tc_List_Olist(_u15895), tc_fun(_u15893, tc_prod(tc_List_Olist(_u15895), _u15893)), tc_List_Olist(_u15895)), c_Product__Type_OPair(tc_List_Olist(_u15895), _u15893))), c_List_Olist_OCons(_u15895))))), hAPP(c_Lazy__Sequence_Oanamorph(_u15893, _u15895, _u15897), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u15891), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))))), hAPP(_u15897, _u15899))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sublist__Cons ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_sublist__Cons-1, axiom, ( ( c_List_Osublist(_u15900, hAPP(hAPP(c_List_Olist_OCons(_u15900), _u15901), _u15902), _u15903) = hAPP(hAPP(c_List_Oappend(_u15900), hAPP(hAPP(hAPP(c_If(tc_List_Olist(_u15900)), hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15903)), hAPP(hAPP(c_List_Olist_OCons(_u15900), _u15901), c_List_Olist_ONil(_u15900))), c_List_Olist_ONil(_u15900))), c_List_Osublist(_u15900, _u15902, 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)), _u15903))))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_append__eq__Cons__conv ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_append__eq__Cons__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15911), _u15913), _u15915) != hAPP(hAPP(c_List_Olist_OCons(_u15911), _u15917), _u15919)) | ( _u15913 = c_List_Olist_ONil(_u15911)) | ( _u15913 = hAPP(hAPP(c_List_Olist_OCons(_u15911), _u15917), skolem435(_u15919, _u15917, _u15915, _u15913, _u15911))) )).
% 12.54/12.74 cnf(fact_append__eq__Cons__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15911), _u15913), _u15915) != hAPP(hAPP(c_List_Olist_OCons(_u15911), _u15917), _u15919)) | ( _u15913 = c_List_Olist_ONil(_u15911)) | ( hAPP(hAPP(c_List_Oappend(_u15911), skolem435(_u15919, _u15917, _u15915, _u15913, _u15911)), _u15915) = _u15919) )).
% 12.54/12.74 cnf(fact_append__eq__Cons__conv-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15911), _u15913), _u15915) != hAPP(hAPP(c_List_Olist_OCons(_u15911), _u15917), _u15919)) | ( _u15915 = hAPP(hAPP(c_List_Olist_OCons(_u15911), _u15917), _u15919)) | ( _u15913 = hAPP(hAPP(c_List_Olist_OCons(_u15911), _u15917), skolem435(_u15919, _u15917, _u15915, _u15913, _u15911))) )).
% 12.54/12.74 cnf(fact_append__eq__Cons__conv-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15911), _u15913), _u15915) != hAPP(hAPP(c_List_Olist_OCons(_u15911), _u15917), _u15919)) | ( _u15915 = hAPP(hAPP(c_List_Olist_OCons(_u15911), _u15917), _u15919)) | ( hAPP(hAPP(c_List_Oappend(_u15911), skolem435(_u15919, _u15917, _u15915, _u15913, _u15911)), _u15915) = _u15919) )).
% 12.54/12.74 cnf(fact_append__eq__Cons__conv-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15912), _u15914), _u15916) = hAPP(hAPP(c_List_Olist_OCons(_u15912), _u15918), _u15920)) | ( _u15914 != c_List_Olist_ONil(_u15912)) | ( _u15916 != hAPP(hAPP(c_List_Olist_OCons(_u15912), _u15918), _u15920)) )).
% 12.54/12.74 cnf(fact_append__eq__Cons__conv-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15912), _u15914), _u15916) = hAPP(hAPP(c_List_Olist_OCons(_u15912), _u15918), _u15920)) | ( _u15914 != hAPP(hAPP(c_List_Olist_OCons(_u15912), _u15918), _u15905)) | ( hAPP(hAPP(c_List_Oappend(_u15912), _u15905), _u15916) != _u15920) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_Cons__eq__append__conv ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_Cons__eq__append__conv-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15928), _u15930), _u15932) != hAPP(hAPP(c_List_Oappend(_u15928), _u15934), _u15936)) | ( _u15934 = c_List_Olist_ONil(_u15928)) | ( hAPP(hAPP(c_List_Olist_OCons(_u15928), _u15930), skolem436(_u15936, _u15934, _u15932, _u15930, _u15928)) = _u15934) )).
% 12.54/12.74 cnf(fact_Cons__eq__append__conv-2, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15928), _u15930), _u15932) != hAPP(hAPP(c_List_Oappend(_u15928), _u15934), _u15936)) | ( _u15934 = c_List_Olist_ONil(_u15928)) | ( _u15932 = hAPP(hAPP(c_List_Oappend(_u15928), skolem436(_u15936, _u15934, _u15932, _u15930, _u15928)), _u15936)) )).
% 12.54/12.74 cnf(fact_Cons__eq__append__conv-3, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15928), _u15930), _u15932) != hAPP(hAPP(c_List_Oappend(_u15928), _u15934), _u15936)) | ( hAPP(hAPP(c_List_Olist_OCons(_u15928), _u15930), _u15932) = _u15936) | ( hAPP(hAPP(c_List_Olist_OCons(_u15928), _u15930), skolem436(_u15936, _u15934, _u15932, _u15930, _u15928)) = _u15934) )).
% 12.54/12.74 cnf(fact_Cons__eq__append__conv-4, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15928), _u15930), _u15932) != hAPP(hAPP(c_List_Oappend(_u15928), _u15934), _u15936)) | ( hAPP(hAPP(c_List_Olist_OCons(_u15928), _u15930), _u15932) = _u15936) | ( _u15932 = hAPP(hAPP(c_List_Oappend(_u15928), skolem436(_u15936, _u15934, _u15932, _u15930, _u15928)), _u15936)) )).
% 12.54/12.74 cnf(fact_Cons__eq__append__conv-5, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15929), _u15931), _u15933) = hAPP(hAPP(c_List_Oappend(_u15929), _u15935), _u15937)) | ( _u15935 != c_List_Olist_ONil(_u15929)) | ( hAPP(hAPP(c_List_Olist_OCons(_u15929), _u15931), _u15933) != _u15937) )).
% 12.54/12.74 cnf(fact_Cons__eq__append__conv-6, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15929), _u15931), _u15933) = hAPP(hAPP(c_List_Oappend(_u15929), _u15935), _u15937)) | ( hAPP(hAPP(c_List_Olist_OCons(_u15929), _u15931), _u15922) != _u15935) | ( _u15933 != hAPP(hAPP(c_List_Oappend(_u15929), _u15922), _u15937)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_append1__eq__conv ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_append1__eq__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15943), _u15945), hAPP(hAPP(c_List_Olist_OCons(_u15943), _u15947), c_List_Olist_ONil(_u15943))) != hAPP(hAPP(c_List_Oappend(_u15943), _u15949), hAPP(hAPP(c_List_Olist_OCons(_u15943), _u15951), c_List_Olist_ONil(_u15943)))) | ( _u15945 = _u15949) )).
% 12.54/12.74 cnf(fact_append1__eq__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15943), _u15945), hAPP(hAPP(c_List_Olist_OCons(_u15943), _u15947), c_List_Olist_ONil(_u15943))) != hAPP(hAPP(c_List_Oappend(_u15943), _u15949), hAPP(hAPP(c_List_Olist_OCons(_u15943), _u15951), c_List_Olist_ONil(_u15943)))) | ( _u15947 = _u15951) )).
% 12.54/12.74 cnf(fact_append1__eq__conv-3, axiom, ( ( _u15946 != _u15950) | ( _u15948 != _u15952) | ( hAPP(hAPP(c_List_Oappend(_u15944), _u15946), hAPP(hAPP(c_List_Olist_OCons(_u15944), _u15948), c_List_Olist_ONil(_u15944))) = hAPP(hAPP(c_List_Oappend(_u15944), _u15950), hAPP(hAPP(c_List_Olist_OCons(_u15944), _u15952), c_List_Olist_ONil(_u15944)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_append__Cons ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_append__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15953), hAPP(hAPP(c_List_Olist_OCons(_u15953), _u15954), _u15955)), _u15956) = hAPP(hAPP(c_List_Olist_OCons(_u15953), _u15954), hAPP(hAPP(c_List_Oappend(_u15953), _u15955), _u15956))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_Cons__eq__appendI ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_Cons__eq__appendI-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15957), _u15958), _u15959) != _u15960) | ( _u15961 != hAPP(hAPP(c_List_Oappend(_u15957), _u15959), _u15962)) | ( hAPP(hAPP(c_List_Olist_OCons(_u15957), _u15958), _u15961) = hAPP(hAPP(c_List_Oappend(_u15957), _u15960), _u15962)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_append__in__lists__conv ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_append__in__lists__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15967)), hAPP(hAPP(c_List_Oappend(_u15967), _u15969), _u15971)), c_List_Olists(_u15967, _u15973))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15967)), _u15969), c_List_Olists(_u15967, _u15973))) )).
% 12.54/12.74 cnf(fact_append__in__lists__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15967)), hAPP(hAPP(c_List_Oappend(_u15967), _u15969), _u15971)), c_List_Olists(_u15967, _u15973))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15967)), _u15971), c_List_Olists(_u15967, _u15973))) )).
% 12.54/12.74 cnf(fact_append__in__lists__conv-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15968)), _u15970), c_List_Olists(_u15968, _u15974))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15968)), _u15972), c_List_Olists(_u15968, _u15974))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15968)), hAPP(hAPP(c_List_Oappend(_u15968), _u15970), _u15972)), c_List_Olists(_u15968, _u15974))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_append__eq__appendI ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_append__eq__appendI-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15975), _u15976), _u15977) != _u15978) | ( _u15979 != hAPP(hAPP(c_List_Oappend(_u15975), _u15977), _u15980)) | ( hAPP(hAPP(c_List_Oappend(_u15975), _u15976), _u15979) = hAPP(hAPP(c_List_Oappend(_u15975), _u15978), _u15980)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_append__same__eq ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_append__same__eq-1, axiom, ( ( _u15987 = _u15991) | ( hAPP(hAPP(c_List_Oappend(_u15985), _u15987), _u15989) != hAPP(hAPP(c_List_Oappend(_u15985), _u15991), _u15989)) )).
% 12.54/12.74 cnf(fact_append__same__eq-2, axiom, ( ( _u15988 != _u15992) | ( hAPP(hAPP(c_List_Oappend(_u15986), _u15988), _u15990) = hAPP(hAPP(c_List_Oappend(_u15986), _u15992), _u15990)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_same__append__eq ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_same__append__eq-1, axiom, ( ( _u16001 = _u16003) | ( hAPP(hAPP(c_List_Oappend(_u15997), _u15999), _u16001) != hAPP(hAPP(c_List_Oappend(_u15997), _u15999), _u16003)) )).
% 12.54/12.74 cnf(fact_same__append__eq-2, axiom, ( ( _u16002 != _u16004) | ( hAPP(hAPP(c_List_Oappend(_u15998), _u16000), _u16002) = hAPP(hAPP(c_List_Oappend(_u15998), _u16000), _u16004)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_append__eq__append__conv2 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_append__eq__append__conv2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16016), _u16018), _u16020) != hAPP(hAPP(c_List_Oappend(_u16016), _u16022), _u16024)) | ( _u16018 = hAPP(hAPP(c_List_Oappend(_u16016), _u16022), skolem437(_u16024, _u16022, _u16020, _u16018, _u16016))) | ( hAPP(hAPP(c_List_Oappend(_u16016), _u16018), skolem438(_u16024, _u16022, _u16020, _u16018, _u16016)) = _u16022) )).
% 12.54/12.74 cnf(fact_append__eq__append__conv2-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16016), _u16018), _u16020) != hAPP(hAPP(c_List_Oappend(_u16016), _u16022), _u16024)) | ( _u16018 = hAPP(hAPP(c_List_Oappend(_u16016), _u16022), skolem437(_u16024, _u16022, _u16020, _u16018, _u16016))) | ( _u16020 = hAPP(hAPP(c_List_Oappend(_u16016), skolem438(_u16024, _u16022, _u16020, _u16018, _u16016)), _u16024)) )).
% 12.54/12.74 cnf(fact_append__eq__append__conv2-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16016), _u16018), _u16020) != hAPP(hAPP(c_List_Oappend(_u16016), _u16022), _u16024)) | ( hAPP(hAPP(c_List_Oappend(_u16016), skolem437(_u16024, _u16022, _u16020, _u16018, _u16016)), _u16020) = _u16024) | ( hAPP(hAPP(c_List_Oappend(_u16016), _u16018), skolem438(_u16024, _u16022, _u16020, _u16018, _u16016)) = _u16022) )).
% 12.54/12.74 cnf(fact_append__eq__append__conv2-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16016), _u16018), _u16020) != hAPP(hAPP(c_List_Oappend(_u16016), _u16022), _u16024)) | ( hAPP(hAPP(c_List_Oappend(_u16016), skolem437(_u16024, _u16022, _u16020, _u16018, _u16016)), _u16020) = _u16024) | ( _u16020 = hAPP(hAPP(c_List_Oappend(_u16016), skolem438(_u16024, _u16022, _u16020, _u16018, _u16016)), _u16024)) )).
% 12.54/12.74 cnf(fact_append__eq__append__conv2-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16017), _u16019), _u16021) = hAPP(hAPP(c_List_Oappend(_u16017), _u16023), _u16025)) | ( _u16019 != hAPP(hAPP(c_List_Oappend(_u16017), _u16023), _u16014)) | ( hAPP(hAPP(c_List_Oappend(_u16017), _u16014), _u16021) != _u16025) )).
% 12.54/12.74 cnf(fact_append__eq__append__conv2-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16017), _u16019), _u16021) = hAPP(hAPP(c_List_Oappend(_u16017), _u16023), _u16025)) | ( hAPP(hAPP(c_List_Oappend(_u16017), _u16019), _u16015) != _u16023) | ( _u16021 != hAPP(hAPP(c_List_Oappend(_u16017), _u16015), _u16025)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_append__assoc ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_append__assoc-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16026), hAPP(hAPP(c_List_Oappend(_u16026), _u16027), _u16028)), _u16029) = hAPP(hAPP(c_List_Oappend(_u16026), _u16027), hAPP(hAPP(c_List_Oappend(_u16026), _u16028), _u16029))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listsum__append ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listsum__append-1, axiom, ( ~class_Groups_Omonoid__add(_u16030) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16030), hAPP(hAPP(c_List_Oappend(_u16030), _u16031), _u16032)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16030), hAPP(c_List_Omonoid__add__class_Olistsum(_u16030), _u16031)), hAPP(c_List_Omonoid__add__class_Olistsum(_u16030), _u16032))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_length__append ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_length__append-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16033)), hAPP(hAPP(c_List_Oappend(_u16033), _u16034), _u16035)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16033)), _u16034)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16033)), _u16035))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_zip__append ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_zip__append-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16036)), _u16037) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16038)), _u16039)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16036)), _u16040) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16038)), _u16041)) | ( hAPP(hAPP(c_List_Ozip(_u16036, _u16038), hAPP(hAPP(c_List_Oappend(_u16036), _u16037), _u16040)), hAPP(hAPP(c_List_Oappend(_u16038), _u16039), _u16041)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16036, _u16038)), hAPP(hAPP(c_List_Ozip(_u16036, _u16038), _u16037), _u16039)), hAPP(hAPP(c_List_Ozip(_u16036, _u16038), _u16040), _u16041))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__append ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__append-1, axiom, ( ( hAPP(c_List_Oset(_u16042), hAPP(hAPP(c_List_Oappend(_u16042), _u16043), _u16044)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16042, tc_HOL_Obool)), hAPP(c_List_Oset(_u16042), _u16043)), hAPP(c_List_Oset(_u16042), _u16044))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_append__Nil ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_append__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16045), c_List_Olist_ONil(_u16045)), _u16046) = _u16046) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_Nil__is__append__conv ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_Nil__is__append__conv-1, axiom, ( ( c_List_Olist_ONil(_u16050) != hAPP(hAPP(c_List_Oappend(_u16050), _u16052), _u16054)) | ( _u16052 = c_List_Olist_ONil(_u16050)) )).
% 12.54/12.74 cnf(fact_Nil__is__append__conv-2, axiom, ( ( c_List_Olist_ONil(_u16050) != hAPP(hAPP(c_List_Oappend(_u16050), _u16052), _u16054)) | ( _u16054 = c_List_Olist_ONil(_u16050)) )).
% 12.54/12.74 cnf(fact_Nil__is__append__conv-3, axiom, ( ( _u16053 != c_List_Olist_ONil(_u16051)) | ( _u16055 != c_List_Olist_ONil(_u16051)) | ( c_List_Olist_ONil(_u16051) = hAPP(hAPP(c_List_Oappend(_u16051), _u16053), _u16055)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_append__Nil2 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_append__Nil2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16056), _u16057), c_List_Olist_ONil(_u16056)) = _u16057) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_self__append__conv ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_self__append__conv-1, axiom, ( ( _u16065 = c_List_Olist_ONil(_u16063)) | ( _u16061 != hAPP(hAPP(c_List_Oappend(_u16063), _u16061), _u16065)) )).
% 12.54/12.74 cnf(fact_self__append__conv-2, axiom, ( ( _u16066 != c_List_Olist_ONil(_u16064)) | ( _u16062 = hAPP(hAPP(c_List_Oappend(_u16064), _u16062), _u16066)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_self__append__conv2 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_self__append__conv2-1, axiom, ( ( _u16074 = c_List_Olist_ONil(_u16072)) | ( _u16070 != hAPP(hAPP(c_List_Oappend(_u16072), _u16074), _u16070)) )).
% 12.54/12.74 cnf(fact_self__append__conv2-2, axiom, ( ( _u16075 != c_List_Olist_ONil(_u16073)) | ( _u16071 = hAPP(hAPP(c_List_Oappend(_u16073), _u16075), _u16071)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_append__is__Nil__conv ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_append__is__Nil__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16079), _u16081), _u16083) != c_List_Olist_ONil(_u16079)) | ( _u16081 = c_List_Olist_ONil(_u16079)) )).
% 12.54/12.74 cnf(fact_append__is__Nil__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16079), _u16081), _u16083) != c_List_Olist_ONil(_u16079)) | ( _u16083 = c_List_Olist_ONil(_u16079)) )).
% 12.54/12.74 cnf(fact_append__is__Nil__conv-3, axiom, ( ( _u16082 != c_List_Olist_ONil(_u16080)) | ( _u16084 != c_List_Olist_ONil(_u16080)) | ( hAPP(hAPP(c_List_Oappend(_u16080), _u16082), _u16084) = c_List_Olist_ONil(_u16080)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_append__self__conv ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_append__self__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16088), _u16090), _u16092) != _u16090) | ( _u16092 = c_List_Olist_ONil(_u16088)) )).
% 12.54/12.74 cnf(fact_append__self__conv-2, axiom, ( ( _u16093 != c_List_Olist_ONil(_u16089)) | ( hAPP(hAPP(c_List_Oappend(_u16089), _u16091), _u16093) = _u16091) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_append__self__conv2 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_append__self__conv2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16097), _u16099), _u16101) != _u16101) | ( _u16099 = c_List_Olist_ONil(_u16097)) )).
% 12.54/12.74 cnf(fact_append__self__conv2-2, axiom, ( ( _u16100 != c_List_Olist_ONil(_u16098)) | ( hAPP(hAPP(c_List_Oappend(_u16098), _u16100), _u16102) = _u16102) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_eq__Nil__appendI ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_eq__Nil__appendI-1, axiom, ( ( _u16103 != _u16104) | ( _u16103 = hAPP(hAPP(c_List_Oappend(_u16105), c_List_Olist_ONil(_u16105)), _u16104)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_butlast__append ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_butlast__append-1, axiom, ( ( _u16109 != c_List_Olist_ONil(_u16111)) | ( c_List_Obutlast(_u16111, hAPP(hAPP(c_List_Oappend(_u16111), _u16113), _u16109)) = c_List_Obutlast(_u16111, _u16113)) )).
% 12.54/12.74 cnf(fact_butlast__append-2, axiom, ( ( _u16110 = c_List_Olist_ONil(_u16112)) | ( c_List_Obutlast(_u16112, hAPP(hAPP(c_List_Oappend(_u16112), _u16114), _u16110)) = hAPP(hAPP(c_List_Oappend(_u16112), _u16114), c_List_Obutlast(_u16112, _u16110))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_nth__append__length ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_nth__append__length-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u16115), hAPP(hAPP(c_List_Oappend(_u16115), _u16116), hAPP(hAPP(c_List_Olist_OCons(_u16115), _u16117), _u16118))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16115)), _u16116)) = _u16117) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_nth__append__length__plus ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_nth__append__length__plus-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u16119), hAPP(hAPP(c_List_Oappend(_u16119), _u16120), _u16121)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16119)), _u16120)), _u16122)) = hAPP(hAPP(c_List_Onth(_u16119), _u16121), _u16122)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_take__append ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_take__append-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16123), _u16124), hAPP(hAPP(c_List_Oappend(_u16123), _u16125), _u16126)) = hAPP(hAPP(c_List_Oappend(_u16123), hAPP(hAPP(c_List_Otake(_u16123), _u16124), _u16125)), hAPP(hAPP(c_List_Otake(_u16123), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16124), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16123)), _u16125))), _u16126))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__update__append1 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__update__append1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16127), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16128)), _u16129))) | ( hAPP(hAPP(c_List_Olist__update(_u16128, hAPP(hAPP(c_List_Oappend(_u16128), _u16129), _u16130)), _u16127), _u16131) = hAPP(hAPP(c_List_Oappend(_u16128), hAPP(hAPP(c_List_Olist__update(_u16128, _u16129), _u16127), _u16131)), _u16130)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__update__length ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__update__length-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u16132, hAPP(hAPP(c_List_Oappend(_u16132), _u16133), hAPP(hAPP(c_List_Olist_OCons(_u16132), _u16134), _u16135))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16132)), _u16133)), _u16136) = hAPP(hAPP(c_List_Oappend(_u16132), _u16133), hAPP(hAPP(c_List_Olist_OCons(_u16132), _u16136), _u16135))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_remove1__append ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_remove1__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16141), _u16143), hAPP(c_List_Oset(_u16141), _u16145))) | ( c_List_Oremove1(_u16141, _u16143, hAPP(hAPP(c_List_Oappend(_u16141), _u16145), _u16147)) = hAPP(hAPP(c_List_Oappend(_u16141), c_List_Oremove1(_u16141, _u16143, _u16145)), _u16147)) )).
% 12.54/12.74 cnf(fact_remove1__append-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16142), _u16144), hAPP(c_List_Oset(_u16142), _u16146))) | ( c_List_Oremove1(_u16142, _u16144, hAPP(hAPP(c_List_Oappend(_u16142), _u16146), _u16148)) = hAPP(hAPP(c_List_Oappend(_u16142), _u16146), c_List_Oremove1(_u16142, _u16144, _u16148))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_in__set__butlast__appendI ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_in__set__butlast__appendI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16149), _u16150), hAPP(c_List_Oset(_u16149), c_List_Obutlast(_u16149, hAPP(hAPP(c_List_Oappend(_u16149), _u16151), _u16152))))) | ~hBOOL(hAPP(hAPP(c_member(_u16149), _u16150), hAPP(c_List_Oset(_u16149), c_List_Obutlast(_u16149, _u16151)))) )).
% 12.54/12.74 cnf(fact_in__set__butlast__appendI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16149), _u16150), hAPP(c_List_Oset(_u16149), c_List_Obutlast(_u16149, hAPP(hAPP(c_List_Oappend(_u16149), _u16151), _u16152))))) | ~hBOOL(hAPP(hAPP(c_member(_u16149), _u16150), hAPP(c_List_Oset(_u16149), c_List_Obutlast(_u16149, _u16152)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_butlast__snoc ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_butlast__snoc-1, axiom, ( ( c_List_Obutlast(_u16153, hAPP(hAPP(c_List_Oappend(_u16153), _u16154), hAPP(hAPP(c_List_Olist_OCons(_u16153), _u16155), c_List_Olist_ONil(_u16153)))) = _u16154) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_append__listrel1I ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_append__listrel1I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16156), tc_List_Olist(_u16156))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16156), tc_List_Olist(_u16156)), hAPP(hAPP(c_List_Oappend(_u16156), _u16157), _u16160)), hAPP(hAPP(c_List_Oappend(_u16156), _u16158), _u16161))), c_List_Olistrel1(_u16156, _u16159))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16156), tc_List_Olist(_u16156))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16156), tc_List_Olist(_u16156)), _u16157), _u16158)), c_List_Olistrel1(_u16156, _u16159))) | ( _u16160 != _u16161) )).
% 12.54/12.74 cnf(fact_append__listrel1I-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16156), tc_List_Olist(_u16156))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16156), tc_List_Olist(_u16156)), hAPP(hAPP(c_List_Oappend(_u16156), _u16157), _u16160)), hAPP(hAPP(c_List_Oappend(_u16156), _u16158), _u16161))), c_List_Olistrel1(_u16156, _u16159))) | ( _u16157 != _u16158) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16156), tc_List_Olist(_u16156))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16156), tc_List_Olist(_u16156)), _u16160), _u16161)), c_List_Olistrel1(_u16156, _u16159))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_lexord__append__leftI ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_lexord__append__leftI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16162), tc_List_Olist(_u16162))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16162), tc_List_Olist(_u16162)), _u16163), _u16164)), c_List_Olexord(_u16162, _u16165))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16162), tc_List_Olist(_u16162))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16162), tc_List_Olist(_u16162)), hAPP(hAPP(c_List_Oappend(_u16162), _u16166), _u16163)), hAPP(hAPP(c_List_Oappend(_u16162), _u16166), _u16164))), c_List_Olexord(_u16162, _u16165))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_distinct__append ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_distinct__append-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16170), hAPP(hAPP(c_List_Oappend(_u16170), _u16172), _u16174))) | hBOOL(hAPP(c_List_Odistinct(_u16170), _u16172)) )).
% 12.54/12.74 cnf(fact_distinct__append-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16170), hAPP(hAPP(c_List_Oappend(_u16170), _u16172), _u16174))) | hBOOL(hAPP(c_List_Odistinct(_u16170), _u16174)) )).
% 12.54/12.74 cnf(fact_distinct__append-3, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16170), hAPP(hAPP(c_List_Oappend(_u16170), _u16172), _u16174))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16170, tc_HOL_Obool)), hAPP(c_List_Oset(_u16170), _u16172)), hAPP(c_List_Oset(_u16170), _u16174)) = c_Orderings_Obot__class_Obot(tc_fun(_u16170, tc_HOL_Obool))) )).
% 12.54/12.74 cnf(fact_distinct__append-4, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16171), _u16173)) | ~hBOOL(hAPP(c_List_Odistinct(_u16171), _u16175)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16171, tc_HOL_Obool)), hAPP(c_List_Oset(_u16171), _u16173)), hAPP(c_List_Oset(_u16171), _u16175)) != c_Orderings_Obot__class_Obot(tc_fun(_u16171, tc_HOL_Obool))) | hBOOL(hAPP(c_List_Odistinct(_u16171), hAPP(hAPP(c_List_Oappend(_u16171), _u16173), _u16175))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_nth__append ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_nth__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16180), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16182)), _u16184))) | ( hAPP(hAPP(c_List_Onth(_u16182), hAPP(hAPP(c_List_Oappend(_u16182), _u16184), _u16186)), _u16180) = hAPP(hAPP(c_List_Onth(_u16182), _u16184), _u16180)) )).
% 12.54/12.74 cnf(fact_nth__append-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16181), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16183)), _u16185))) | ( hAPP(hAPP(c_List_Onth(_u16183), hAPP(hAPP(c_List_Oappend(_u16183), _u16185), _u16187)), _u16181) = hAPP(hAPP(c_List_Onth(_u16183), _u16187), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16181), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16183)), _u16185)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__update__append ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__update__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16193), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16195)), _u16197))) | ( hAPP(hAPP(c_List_Olist__update(_u16195, hAPP(hAPP(c_List_Oappend(_u16195), _u16197), _u16199)), _u16193), _u16201) = hAPP(hAPP(c_List_Oappend(_u16195), hAPP(hAPP(c_List_Olist__update(_u16195, _u16197), _u16193), _u16201)), _u16199)) )).
% 12.54/12.74 cnf(fact_list__update__append-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16194), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16196)), _u16198))) | ( hAPP(hAPP(c_List_Olist__update(_u16196, hAPP(hAPP(c_List_Oappend(_u16196), _u16198), _u16200)), _u16194), _u16202) = hAPP(hAPP(c_List_Oappend(_u16196), _u16198), hAPP(hAPP(c_List_Olist__update(_u16196, _u16200), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16194), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16196)), _u16198))), _u16202))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sublist__append ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_sublist__append-1, axiom, ( ( c_List_Osublist(_u16203, hAPP(hAPP(c_List_Oappend(_u16203), _u16204), _u16205), _u16206) = hAPP(hAPP(c_List_Oappend(_u16203), c_List_Osublist(_u16203, _u16204, _u16206)), c_List_Osublist(_u16203, _u16205, 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(_u16203)), _u16204)))), _u16206))))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listrel1I ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listrel1I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16207, _u16207)), hAPP(hAPP(c_Product__Type_OPair(_u16207, _u16207), _u16208), _u16209)), _u16210)) | ( _u16211 != hAPP(hAPP(c_List_Oappend(_u16207), _u16212), hAPP(hAPP(c_List_Olist_OCons(_u16207), _u16208), _u16213))) | ( _u16214 != hAPP(hAPP(c_List_Oappend(_u16207), _u16212), hAPP(hAPP(c_List_Olist_OCons(_u16207), _u16209), _u16213))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16207), tc_List_Olist(_u16207))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16207), tc_List_Olist(_u16207)), _u16211), _u16214)), c_List_Olistrel1(_u16207, _u16210))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_lexord__append__left__rightI ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_lexord__append__left__rightI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16215, _u16215)), hAPP(hAPP(c_Product__Type_OPair(_u16215, _u16215), _u16216), _u16217)), _u16218)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16215), tc_List_Olist(_u16215))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16215), tc_List_Olist(_u16215)), hAPP(hAPP(c_List_Oappend(_u16215), _u16219), hAPP(hAPP(c_List_Olist_OCons(_u16215), _u16216), _u16220))), hAPP(hAPP(c_List_Oappend(_u16215), _u16219), hAPP(hAPP(c_List_Olist_OCons(_u16215), _u16217), _u16221)))), c_List_Olexord(_u16215, _u16218))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_take__Suc__conv__app__nth ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_take__Suc__conv__app__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16222), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16223)), _u16224))) | ( hAPP(hAPP(c_List_Otake(_u16223), hAPP(c_Nat_OSuc, _u16222)), _u16224) = hAPP(hAPP(c_List_Oappend(_u16223), hAPP(hAPP(c_List_Otake(_u16223), _u16222), _u16224)), hAPP(hAPP(c_List_Olist_OCons(_u16223), hAPP(hAPP(c_List_Onth(_u16223), _u16224), _u16222)), c_List_Olist_ONil(_u16223)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_snoc__listrel1__snoc__iff ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_snoc__listrel1__snoc__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16231), tc_List_Olist(_u16231))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16231), tc_List_Olist(_u16231)), hAPP(hAPP(c_List_Oappend(_u16231), _u16233), hAPP(hAPP(c_List_Olist_OCons(_u16231), _u16235), c_List_Olist_ONil(_u16231)))), hAPP(hAPP(c_List_Oappend(_u16231), _u16237), hAPP(hAPP(c_List_Olist_OCons(_u16231), _u16239), c_List_Olist_ONil(_u16231))))), c_List_Olistrel1(_u16231, _u16241))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16231), tc_List_Olist(_u16231))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16231), tc_List_Olist(_u16231)), _u16233), _u16237)), c_List_Olistrel1(_u16231, _u16241))) | ( _u16233 = _u16237) )).
% 12.54/12.74 cnf(fact_snoc__listrel1__snoc__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16231), tc_List_Olist(_u16231))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16231), tc_List_Olist(_u16231)), hAPP(hAPP(c_List_Oappend(_u16231), _u16233), hAPP(hAPP(c_List_Olist_OCons(_u16231), _u16235), c_List_Olist_ONil(_u16231)))), hAPP(hAPP(c_List_Oappend(_u16231), _u16237), hAPP(hAPP(c_List_Olist_OCons(_u16231), _u16239), c_List_Olist_ONil(_u16231))))), c_List_Olistrel1(_u16231, _u16241))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16231), tc_List_Olist(_u16231))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16231), tc_List_Olist(_u16231)), _u16233), _u16237)), c_List_Olistrel1(_u16231, _u16241))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16231, _u16231)), hAPP(hAPP(c_Product__Type_OPair(_u16231, _u16231), _u16235), _u16239)), _u16241)) )).
% 12.54/12.74 cnf(fact_snoc__listrel1__snoc__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16231), tc_List_Olist(_u16231))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16231), tc_List_Olist(_u16231)), hAPP(hAPP(c_List_Oappend(_u16231), _u16233), hAPP(hAPP(c_List_Olist_OCons(_u16231), _u16235), c_List_Olist_ONil(_u16231)))), hAPP(hAPP(c_List_Oappend(_u16231), _u16237), hAPP(hAPP(c_List_Olist_OCons(_u16231), _u16239), c_List_Olist_ONil(_u16231))))), c_List_Olistrel1(_u16231, _u16241))) | ( _u16235 = _u16239) | ( _u16233 = _u16237) )).
% 12.54/12.74 cnf(fact_snoc__listrel1__snoc__iff-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16231), tc_List_Olist(_u16231))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16231), tc_List_Olist(_u16231)), hAPP(hAPP(c_List_Oappend(_u16231), _u16233), hAPP(hAPP(c_List_Olist_OCons(_u16231), _u16235), c_List_Olist_ONil(_u16231)))), hAPP(hAPP(c_List_Oappend(_u16231), _u16237), hAPP(hAPP(c_List_Olist_OCons(_u16231), _u16239), c_List_Olist_ONil(_u16231))))), c_List_Olistrel1(_u16231, _u16241))) | ( _u16235 = _u16239) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16231, _u16231)), hAPP(hAPP(c_Product__Type_OPair(_u16231, _u16231), _u16235), _u16239)), _u16241)) )).
% 12.54/12.74 cnf(fact_snoc__listrel1__snoc__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16232), tc_List_Olist(_u16232))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16232), tc_List_Olist(_u16232)), hAPP(hAPP(c_List_Oappend(_u16232), _u16234), hAPP(hAPP(c_List_Olist_OCons(_u16232), _u16236), c_List_Olist_ONil(_u16232)))), hAPP(hAPP(c_List_Oappend(_u16232), _u16238), hAPP(hAPP(c_List_Olist_OCons(_u16232), _u16240), c_List_Olist_ONil(_u16232))))), c_List_Olistrel1(_u16232, _u16242))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16232), tc_List_Olist(_u16232))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16232), tc_List_Olist(_u16232)), _u16234), _u16238)), c_List_Olistrel1(_u16232, _u16242))) | ( _u16236 != _u16240) )).
% 12.54/12.74 cnf(fact_snoc__listrel1__snoc__iff-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16232), tc_List_Olist(_u16232))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16232), tc_List_Olist(_u16232)), hAPP(hAPP(c_List_Oappend(_u16232), _u16234), hAPP(hAPP(c_List_Olist_OCons(_u16232), _u16236), c_List_Olist_ONil(_u16232)))), hAPP(hAPP(c_List_Oappend(_u16232), _u16238), hAPP(hAPP(c_List_Olist_OCons(_u16232), _u16240), c_List_Olist_ONil(_u16232))))), c_List_Olistrel1(_u16232, _u16242))) | ( _u16234 != _u16238) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16232, _u16232)), hAPP(hAPP(c_Product__Type_OPair(_u16232, _u16232), _u16236), _u16240)), _u16242)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listrel1E ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listrel1E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16247), tc_List_Olist(_u16247))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16247), tc_List_Olist(_u16247)), _u16248), _u16249)), c_List_Olistrel1(_u16247, _u16250))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16247, _u16247)), hAPP(hAPP(c_Product__Type_OPair(_u16247, _u16247), skolem439(_u16250, _u16249, _u16248, _u16247)), skolem440(_u16250, _u16249, _u16248, _u16247))), _u16250)) )).
% 12.54/12.74 cnf(fact_listrel1E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16247), tc_List_Olist(_u16247))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16247), tc_List_Olist(_u16247)), _u16248), _u16249)), c_List_Olistrel1(_u16247, _u16250))) | ( _u16248 = hAPP(hAPP(c_List_Oappend(_u16247), skolem441(_u16250, _u16249, _u16248, _u16247)), hAPP(hAPP(c_List_Olist_OCons(_u16247), skolem439(_u16250, _u16249, _u16248, _u16247)), skolem442(_u16250, _u16249, _u16248, _u16247)))) )).
% 12.54/12.74 cnf(fact_listrel1E-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16247), tc_List_Olist(_u16247))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16247), tc_List_Olist(_u16247)), _u16248), _u16249)), c_List_Olistrel1(_u16247, _u16250))) | ( _u16249 = hAPP(hAPP(c_List_Oappend(_u16247), skolem441(_u16250, _u16249, _u16248, _u16247)), hAPP(hAPP(c_List_Olist_OCons(_u16247), skolem440(_u16250, _u16249, _u16248, _u16247)), skolem442(_u16250, _u16249, _u16248, _u16247)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_lexord__append__leftD ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_lexord__append__leftD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16252), tc_List_Olist(_u16252))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16252), tc_List_Olist(_u16252)), hAPP(hAPP(c_List_Oappend(_u16252), _u16253), _u16254)), hAPP(hAPP(c_List_Oappend(_u16252), _u16253), _u16255))), c_List_Olexord(_u16252, _u16256))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16252, _u16252)), hAPP(hAPP(c_Product__Type_OPair(_u16252, _u16252), skolem443(_u16256, _u16255, _u16254, _u16253, _u16252)), skolem443(_u16256, _u16255, _u16254, _u16253, _u16252))), _u16256)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16252), tc_List_Olist(_u16252))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16252), tc_List_Olist(_u16252)), _u16254), _u16255)), c_List_Olexord(_u16252, _u16256))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_rotate1__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_rotate1__def-1, axiom, ( ( hAPP(c_List_Orotate1(_u16257), _u16258) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u16257), _u16257, c_List_Olist_ONil(_u16257), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16257), tc_fun(tc_List_Olist(_u16257), tc_List_Olist(_u16257)), _u16257), hAPP(c_COMBC(tc_List_Olist(_u16257), tc_List_Olist(_u16257), tc_List_Olist(_u16257)), c_List_Oappend(_u16257))), hAPP(hAPP(c_COMBC(_u16257, tc_List_Olist(_u16257), tc_List_Olist(_u16257)), c_List_Olist_OCons(_u16257)), c_List_Olist_ONil(_u16257)))), _u16258)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_upd__conv__take__nth__drop ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_upd__conv__take__nth__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16259), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16260)), _u16261))) | ( hAPP(hAPP(c_List_Olist__update(_u16260, _u16261), _u16259), _u16262) = hAPP(hAPP(c_List_Oappend(_u16260), hAPP(hAPP(c_List_Otake(_u16260), _u16259), _u16261)), hAPP(hAPP(c_List_Olist_OCons(_u16260), _u16262), hAPP(hAPP(c_List_Odrop(_u16260), hAPP(c_Nat_OSuc, _u16259)), _u16261)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_append__take__drop__id ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_append__take__drop__id-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16263), hAPP(hAPP(c_List_Otake(_u16263), _u16264), _u16265)), hAPP(hAPP(c_List_Odrop(_u16263), _u16264), _u16265)) = _u16265) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_drop__1__Cons ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_drop__1__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16266), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u16266), _u16267), _u16268)) = _u16268) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_drop__Suc__Cons ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_drop__Suc__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16269), hAPP(c_Nat_OSuc, _u16270)), hAPP(hAPP(c_List_Olist_OCons(_u16269), _u16271), _u16272)) = hAPP(hAPP(c_List_Odrop(_u16269), _u16270), _u16272)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_nth__via__drop ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_nth__via__drop-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16273), _u16274), _u16275) != hAPP(hAPP(c_List_Olist_OCons(_u16273), _u16276), _u16277)) | ( hAPP(hAPP(c_List_Onth(_u16273), _u16275), _u16274) = _u16276) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_distinct__drop ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_distinct__drop-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16278), _u16279)) | hBOOL(hAPP(c_List_Odistinct(_u16278), hAPP(hAPP(c_List_Odrop(_u16278), _u16280), _u16279))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_distinct1__rotate ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_distinct1__rotate-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16283), hAPP(c_List_Orotate1(_u16283), _u16285))) | hBOOL(hAPP(c_List_Odistinct(_u16283), _u16285)) )).
% 12.54/12.74 cnf(fact_distinct1__rotate-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16284), _u16286)) | hBOOL(hAPP(c_List_Odistinct(_u16284), hAPP(c_List_Orotate1(_u16284), _u16286))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_butlast__drop ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_butlast__drop-1, axiom, ( ( c_List_Obutlast(_u16287, hAPP(hAPP(c_List_Odrop(_u16287), _u16288), _u16289)) = hAPP(hAPP(c_List_Odrop(_u16287), _u16288), c_List_Obutlast(_u16287, _u16289))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_drop__butlast ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_drop__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16290), _u16291), c_List_Obutlast(_u16290, _u16292)) = c_List_Obutlast(_u16290, hAPP(hAPP(c_List_Odrop(_u16290), _u16291), _u16292))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_drop__take ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_drop__take-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16293), _u16294), hAPP(hAPP(c_List_Otake(_u16293), _u16295), _u16296)) = hAPP(hAPP(c_List_Otake(_u16293), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16295), _u16294)), hAPP(hAPP(c_List_Odrop(_u16293), _u16294), _u16296))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_take__drop ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_take__drop-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16297), _u16298), hAPP(hAPP(c_List_Odrop(_u16297), _u16299), _u16300)) = hAPP(hAPP(c_List_Odrop(_u16297), _u16299), hAPP(hAPP(c_List_Otake(_u16297), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16298), _u16299)), _u16300))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_drop__drop ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_drop__drop-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16301), _u16302), hAPP(hAPP(c_List_Odrop(_u16301), _u16303), _u16304)) = hAPP(hAPP(c_List_Odrop(_u16301), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16302), _u16303)), _u16304)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_drop__0 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_drop__0-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16305), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16306) = _u16306) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_drop__zip ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_drop__zip-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(tc_prod(_u16307, _u16308)), _u16309), hAPP(hAPP(c_List_Ozip(_u16307, _u16308), _u16310), _u16311)) = hAPP(hAPP(c_List_Ozip(_u16307, _u16308), hAPP(hAPP(c_List_Odrop(_u16307), _u16309), _u16310)), hAPP(hAPP(c_List_Odrop(_u16308), _u16309), _u16311))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_length__rotate1 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_length__rotate1-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16312)), hAPP(c_List_Orotate1(_u16312), _u16313)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16312)), _u16313)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_length__drop ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_length__drop-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16314)), hAPP(hAPP(c_List_Odrop(_u16314), _u16315), _u16316)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16314)), _u16316)), _u16315)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__rotate1 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__rotate1-1, axiom, ( ( hAPP(c_List_Oset(_u16317), hAPP(c_List_Orotate1(_u16317), _u16318)) = hAPP(c_List_Oset(_u16317), _u16318)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_in__set__dropD ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_in__set__dropD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16319), _u16320), hAPP(c_List_Oset(_u16319), hAPP(hAPP(c_List_Odrop(_u16319), _u16321), _u16322)))) | hBOOL(hAPP(hAPP(c_member(_u16319), _u16320), hAPP(c_List_Oset(_u16319), _u16322))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__drop__subset ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__drop__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16323, tc_HOL_Obool)), hAPP(c_List_Oset(_u16323), hAPP(hAPP(c_List_Odrop(_u16323), _u16324), _u16325))), hAPP(c_List_Oset(_u16323), _u16325))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_drop__Nil ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_drop__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16326), _u16327), c_List_Olist_ONil(_u16326)) = c_List_Olist_ONil(_u16326)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_rotate1__is__Nil__conv ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_rotate1__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orotate1(_u16330), _u16332) != c_List_Olist_ONil(_u16330)) | ( _u16332 = c_List_Olist_ONil(_u16330)) )).
% 12.54/12.74 cnf(fact_rotate1__is__Nil__conv-2, axiom, ( ( _u16333 != c_List_Olist_ONil(_u16331)) | ( hAPP(c_List_Orotate1(_u16331), _u16333) = c_List_Olist_ONil(_u16331)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__drop__subset__set__drop ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__drop__subset__set__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16334), _u16335)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16336, tc_HOL_Obool)), hAPP(c_List_Oset(_u16336), hAPP(hAPP(c_List_Odrop(_u16336), _u16335), _u16337))), hAPP(c_List_Oset(_u16336), hAPP(hAPP(c_List_Odrop(_u16336), _u16334), _u16337)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_drop__eq__Nil ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_drop__eq__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16341), _u16343), _u16345) != c_List_Olist_ONil(_u16341)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16341)), _u16345)), _u16343)) )).
% 12.54/12.74 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(_u16342)), _u16346)), _u16344)) | ( hAPP(hAPP(c_List_Odrop(_u16342), _u16344), _u16346) = c_List_Olist_ONil(_u16342)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_drop__all ( axiom ) converted to clauses:
% 12.54/12.74 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(_u16347)), _u16348)), _u16349)) | ( hAPP(hAPP(c_List_Odrop(_u16347), _u16349), _u16348) = c_List_Olist_ONil(_u16347)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_drop__append ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_drop__append-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16350), _u16351), hAPP(hAPP(c_List_Oappend(_u16350), _u16352), _u16353)) = hAPP(hAPP(c_List_Oappend(_u16350), hAPP(hAPP(c_List_Odrop(_u16350), _u16351), _u16352)), hAPP(hAPP(c_List_Odrop(_u16350), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16351), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16350)), _u16352))), _u16353))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_append__eq__conv__conj ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_append__eq__conv__conj-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16358), _u16360), _u16362) != _u16364) | ( _u16360 = hAPP(hAPP(c_List_Otake(_u16358), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16358)), _u16360)), _u16364)) )).
% 12.54/12.74 cnf(fact_append__eq__conv__conj-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16358), _u16360), _u16362) != _u16364) | ( _u16362 = hAPP(hAPP(c_List_Odrop(_u16358), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16358)), _u16360)), _u16364)) )).
% 12.54/12.74 cnf(fact_append__eq__conv__conj-3, axiom, ( ( _u16361 != hAPP(hAPP(c_List_Otake(_u16359), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16359)), _u16361)), _u16365)) | ( _u16363 != hAPP(hAPP(c_List_Odrop(_u16359), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16359)), _u16361)), _u16365)) | ( hAPP(hAPP(c_List_Oappend(_u16359), _u16361), _u16363) = _u16365) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_drop__Cons ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_drop__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16366), _u16367), hAPP(hAPP(c_List_Olist_OCons(_u16366), _u16368), _u16369)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u16366), hAPP(hAPP(c_List_Olist_OCons(_u16366), _u16368), _u16369), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u16366), tc_List_Olist(_u16366)), c_List_Odrop(_u16366)), _u16369), _u16367)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_drop__Cons_H ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_drop__Cons_H-1, axiom, ( ( _u16374 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16376), _u16374), hAPP(hAPP(c_List_Olist_OCons(_u16376), _u16378), _u16380)) = hAPP(hAPP(c_List_Olist_OCons(_u16376), _u16378), _u16380)) )).
% 12.54/12.74 cnf(fact_drop__Cons_H-2, axiom, ( ( _u16375 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16377), _u16375), hAPP(hAPP(c_List_Olist_OCons(_u16377), _u16379), _u16381)) = hAPP(hAPP(c_List_Odrop(_u16377), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16375), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16381)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_nth__drop ( axiom ) converted to clauses:
% 12.54/12.74 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), _u16382), _u16383)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16384)), _u16385))) | ( hAPP(hAPP(c_List_Onth(_u16384), hAPP(hAPP(c_List_Odrop(_u16384), _u16382), _u16385)), _u16383) = hAPP(hAPP(c_List_Onth(_u16384), _u16385), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16382), _u16383))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_append__eq__append__conv__if ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_append__eq__append__conv__if-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16391), _u16393), _u16395) != hAPP(hAPP(c_List_Oappend(_u16391), _u16397), _u16399)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16391)), _u16393)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16391)), _u16397))) | ( _u16393 = hAPP(hAPP(c_List_Otake(_u16391), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16391)), _u16393)), _u16397)) )).
% 12.54/12.74 cnf(fact_append__eq__append__conv__if-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16391), _u16393), _u16395) != hAPP(hAPP(c_List_Oappend(_u16391), _u16397), _u16399)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16391)), _u16393)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16391)), _u16397))) | ( _u16395 = hAPP(hAPP(c_List_Oappend(_u16391), hAPP(hAPP(c_List_Odrop(_u16391), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16391)), _u16393)), _u16397)), _u16399)) )).
% 12.54/12.74 cnf(fact_append__eq__append__conv__if-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16391), _u16393), _u16395) != hAPP(hAPP(c_List_Oappend(_u16391), _u16397), _u16399)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16391)), _u16393)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16391)), _u16397))) | ( hAPP(hAPP(c_List_Otake(_u16391), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16391)), _u16397)), _u16393) = _u16397) )).
% 12.54/12.74 cnf(fact_append__eq__append__conv__if-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16391), _u16393), _u16395) != hAPP(hAPP(c_List_Oappend(_u16391), _u16397), _u16399)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16391)), _u16393)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16391)), _u16397))) | ( hAPP(hAPP(c_List_Oappend(_u16391), hAPP(hAPP(c_List_Odrop(_u16391), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16391)), _u16397)), _u16393)), _u16395) = _u16399) )).
% 12.54/12.74 cnf(fact_append__eq__append__conv__if-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16392), _u16394), _u16396) = hAPP(hAPP(c_List_Oappend(_u16392), _u16398), _u16400)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16392)), _u16394)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16392)), _u16398))) | ( hAPP(hAPP(c_List_Otake(_u16392), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16392)), _u16398)), _u16394) != _u16398) | ( hAPP(hAPP(c_List_Oappend(_u16392), hAPP(hAPP(c_List_Odrop(_u16392), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16392)), _u16398)), _u16394)), _u16396) != _u16400) )).
% 12.54/12.74 cnf(fact_append__eq__append__conv__if-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16392), _u16394), _u16396) = hAPP(hAPP(c_List_Oappend(_u16392), _u16398), _u16400)) | ( _u16394 != hAPP(hAPP(c_List_Otake(_u16392), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16392)), _u16394)), _u16398)) | ( _u16396 != hAPP(hAPP(c_List_Oappend(_u16392), hAPP(hAPP(c_List_Odrop(_u16392), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16392)), _u16394)), _u16398)), _u16400)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16392)), _u16394)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16392)), _u16398))) )).
% 12.54/12.74 cnf(fact_append__eq__append__conv__if-7, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16392), _u16394), _u16396) = hAPP(hAPP(c_List_Oappend(_u16392), _u16398), _u16400)) | ( _u16394 != hAPP(hAPP(c_List_Otake(_u16392), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16392)), _u16394)), _u16398)) | ( _u16396 != hAPP(hAPP(c_List_Oappend(_u16392), hAPP(hAPP(c_List_Odrop(_u16392), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16392)), _u16394)), _u16398)), _u16400)) | ( hAPP(hAPP(c_List_Otake(_u16392), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16392)), _u16398)), _u16394) != _u16398) | ( hAPP(hAPP(c_List_Oappend(_u16392), hAPP(hAPP(c_List_Odrop(_u16392), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16392)), _u16398)), _u16394)), _u16396) != _u16400) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_nth__drop_H ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_nth__drop_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16401), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16402)), _u16403))) | ( hAPP(hAPP(c_List_Olist_OCons(_u16402), hAPP(hAPP(c_List_Onth(_u16402), _u16403), _u16401)), hAPP(hAPP(c_List_Odrop(_u16402), hAPP(c_Nat_OSuc, _u16401)), _u16403)) = hAPP(hAPP(c_List_Odrop(_u16402), _u16401), _u16403)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_rotate__simps ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_rotate__simps-1, axiom, ( ( hAPP(c_List_Orotate1(_u16404), c_List_Olist_ONil(_u16404)) = c_List_Olist_ONil(_u16404)) )).
% 12.54/12.74 cnf(fact_rotate__simps-2, axiom, ( ( hAPP(c_List_Orotate1(_u16405), hAPP(hAPP(c_List_Olist_OCons(_u16405), _u16406), _u16407)) = hAPP(hAPP(c_List_Oappend(_u16405), _u16407), hAPP(hAPP(c_List_Olist_OCons(_u16405), _u16406), c_List_Olist_ONil(_u16405)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_drop__Cons__number__of ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_drop__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16412) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16414), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16412)), hAPP(hAPP(c_List_Olist_OCons(_u16414), _u16416), _u16418)) = hAPP(hAPP(c_List_Olist_OCons(_u16414), _u16416), _u16418)) )).
% 12.54/12.74 cnf(fact_drop__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16413) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16415), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16413)), hAPP(hAPP(c_List_Olist_OCons(_u16415), _u16417), _u16419)) = hAPP(hAPP(c_List_Odrop(_u16415), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16413)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16419)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_take__add ( axiom ) converted to clauses:
% 12.54/12.74 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), _u16420), _u16421)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16422)), _u16423))) | ( hAPP(hAPP(c_List_Otake(_u16422), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16420), _u16421)), _u16423) = hAPP(hAPP(c_List_Oappend(_u16422), hAPP(hAPP(c_List_Otake(_u16422), _u16420), _u16423)), hAPP(hAPP(c_List_Otake(_u16422), _u16421), hAPP(hAPP(c_List_Odrop(_u16422), _u16420), _u16423)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_rotate1__length01 ( axiom ) converted to clauses:
% 12.54/12.74 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(_u16424)), _u16425)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate1(_u16424), _u16425) = _u16425) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_zip__append1 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_zip__append1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16426, _u16427), hAPP(hAPP(c_List_Oappend(_u16426), _u16428), _u16429)), _u16430) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16426, _u16427)), hAPP(hAPP(c_List_Ozip(_u16426, _u16427), _u16428), hAPP(hAPP(c_List_Otake(_u16427), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16426)), _u16428)), _u16430))), hAPP(hAPP(c_List_Ozip(_u16426, _u16427), _u16429), hAPP(hAPP(c_List_Odrop(_u16427), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16426)), _u16428)), _u16430)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_zip__append2 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_zip__append2-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16431, _u16432), _u16433), hAPP(hAPP(c_List_Oappend(_u16432), _u16434), _u16435)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16431, _u16432)), hAPP(hAPP(c_List_Ozip(_u16431, _u16432), hAPP(hAPP(c_List_Otake(_u16431), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16432)), _u16434)), _u16433)), _u16434)), hAPP(hAPP(c_List_Ozip(_u16431, _u16432), hAPP(hAPP(c_List_Odrop(_u16431), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16432)), _u16434)), _u16433)), _u16435))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_id__take__nth__drop ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_id__take__nth__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16436), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16437)), _u16438))) | ( _u16438 = hAPP(hAPP(c_List_Oappend(_u16437), hAPP(hAPP(c_List_Otake(_u16437), _u16436), _u16438)), hAPP(hAPP(c_List_Olist_OCons(_u16437), hAPP(hAPP(c_List_Onth(_u16437), _u16438), _u16436)), hAPP(hAPP(c_List_Odrop(_u16437), hAPP(c_Nat_OSuc, _u16436)), _u16438)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_take__hd__drop ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_take__hd__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16439), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16440)), _u16441))) | ( hAPP(hAPP(c_List_Oappend(_u16440), hAPP(hAPP(c_List_Otake(_u16440), _u16439), _u16441)), hAPP(hAPP(c_List_Olist_OCons(_u16440), hAPP(c_List_Ohd(_u16440), hAPP(hAPP(c_List_Odrop(_u16440), _u16439), _u16441))), c_List_Olist_ONil(_u16440))) = hAPP(hAPP(c_List_Otake(_u16440), hAPP(c_Nat_OSuc, _u16439)), _u16441)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_hd__drop__conv__nth ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_hd__drop__conv__nth-1, axiom, ( ( _u16442 = c_List_Olist_ONil(_u16443)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16444), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16443)), _u16442))) | ( hAPP(c_List_Ohd(_u16443), hAPP(hAPP(c_List_Odrop(_u16443), _u16444), _u16442)) = hAPP(hAPP(c_List_Onth(_u16443), _u16442), _u16444)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_hd_Osimps ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_hd_Osimps-1, axiom, ( ( hAPP(c_List_Ohd(_u16445), hAPP(hAPP(c_List_Olist_OCons(_u16445), _u16446), _u16447)) = _u16446) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_hd__append2 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_hd__append2-1, axiom, ( ( _u16448 = c_List_Olist_ONil(_u16449)) | ( hAPP(c_List_Ohd(_u16449), hAPP(hAPP(c_List_Oappend(_u16449), _u16448), _u16450)) = hAPP(c_List_Ohd(_u16449), _u16448)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_hd__append ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_hd__append-1, axiom, ( ( _u16454 != c_List_Olist_ONil(_u16456)) | ( hAPP(c_List_Ohd(_u16456), hAPP(hAPP(c_List_Oappend(_u16456), _u16454), _u16458)) = hAPP(c_List_Ohd(_u16456), _u16458)) )).
% 12.54/12.74 cnf(fact_hd__append-2, axiom, ( ( _u16455 = c_List_Olist_ONil(_u16457)) | ( hAPP(c_List_Ohd(_u16457), hAPP(hAPP(c_List_Oappend(_u16457), _u16455), _u16459)) = hAPP(c_List_Ohd(_u16457), _u16455)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_hd__in__set ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_hd__in__set-1, axiom, ( ( _u16460 = c_List_Olist_ONil(_u16461)) | hBOOL(hAPP(hAPP(c_member(_u16461), hAPP(c_List_Ohd(_u16461), _u16460)), hAPP(c_List_Oset(_u16461), _u16460))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_hd__conv__nth ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_hd__conv__nth-1, axiom, ( ( _u16462 = c_List_Olist_ONil(_u16463)) | ( hAPP(c_List_Ohd(_u16463), _u16462) = hAPP(hAPP(c_List_Onth(_u16463), _u16462), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_rotate1__hd__tl ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_rotate1__hd__tl-1, axiom, ( ( _u16464 = c_List_Olist_ONil(_u16465)) | ( hAPP(c_List_Orotate1(_u16465), _u16464) = hAPP(hAPP(c_List_Oappend(_u16465), hAPP(c_List_Otl(_u16465), _u16464)), hAPP(hAPP(c_List_Olist_OCons(_u16465), hAPP(c_List_Ohd(_u16465), _u16464)), c_List_Olist_ONil(_u16465)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_hd__rotate__conv__nth ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_hd__rotate__conv__nth-1, axiom, ( ( _u16466 = c_List_Olist_ONil(_u16467)) | ( hAPP(c_List_Ohd(_u16467), hAPP(c_List_Orotate(_u16467, _u16468), _u16466)) = hAPP(hAPP(c_List_Onth(_u16467), _u16466), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16468, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16467)), _u16466)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_drop__tl ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_drop__tl-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16469), _u16470), hAPP(c_List_Otl(_u16469), _u16471)) = hAPP(c_List_Otl(_u16469), hAPP(hAPP(c_List_Odrop(_u16469), _u16470), _u16471))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_tl__drop ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_tl__drop-1, axiom, ( ( hAPP(c_List_Otl(_u16472), hAPP(hAPP(c_List_Odrop(_u16472), _u16473), _u16474)) = hAPP(hAPP(c_List_Odrop(_u16472), _u16473), hAPP(c_List_Otl(_u16472), _u16474))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_tl_Osimps_I2_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_tl_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Otl(_u16475), hAPP(hAPP(c_List_Olist_OCons(_u16475), _u16476), _u16477)) = _u16477) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_distinct__tl ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_distinct__tl-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16478), _u16479)) | hBOOL(hAPP(c_List_Odistinct(_u16478), hAPP(c_List_Otl(_u16478), _u16479))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_distinct__rotate ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_distinct__rotate-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16483), hAPP(c_List_Orotate(_u16483, _u16485), _u16487))) | hBOOL(hAPP(c_List_Odistinct(_u16483), _u16487)) )).
% 12.54/12.74 cnf(fact_distinct__rotate-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16484), _u16488)) | hBOOL(hAPP(c_List_Odistinct(_u16484), hAPP(c_List_Orotate(_u16484, _u16486), _u16488))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_rotate__rotate ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_rotate__rotate-1, axiom, ( ( hAPP(c_List_Orotate(_u16489, _u16490), hAPP(c_List_Orotate(_u16489, _u16491), _u16492)) = hAPP(c_List_Orotate(_u16489, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16490), _u16491)), _u16492)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_rotate0 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_rotate0-1, axiom, ( ( c_List_Orotate(_u16493, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(_u16493))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_rotate__add ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_rotate__add-1, axiom, ( ( c_List_Orotate(_u16494, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16495), _u16496)) = hAPP(c_Fun_Ocomp(tc_List_Olist(_u16494), tc_List_Olist(_u16494), tc_List_Olist(_u16494), c_List_Orotate(_u16494, _u16495)), c_List_Orotate(_u16494, _u16496))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_length__rotate ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_length__rotate-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16497)), hAPP(c_List_Orotate(_u16497, _u16498), _u16499)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16497)), _u16499)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__rotate ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__rotate-1, axiom, ( ( hAPP(c_List_Oset(_u16500), hAPP(c_List_Orotate(_u16500, _u16501), _u16502)) = hAPP(c_List_Oset(_u16500), _u16502)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_tl_Osimps_I1_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_tl_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Otl(_u16503), c_List_Olist_ONil(_u16503)) = c_List_Olist_ONil(_u16503)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_rotate__is__Nil__conv ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_rotate__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orotate(_u16507, _u16509), _u16511) != c_List_Olist_ONil(_u16507)) | ( _u16511 = c_List_Olist_ONil(_u16507)) )).
% 12.54/12.74 cnf(fact_rotate__is__Nil__conv-2, axiom, ( ( _u16512 != c_List_Olist_ONil(_u16508)) | ( hAPP(c_List_Orotate(_u16508, _u16510), _u16512) = c_List_Olist_ONil(_u16508)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_rotate1__rotate__swap ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_rotate1__rotate__swap-1, axiom, ( ( hAPP(c_List_Orotate1(_u16513), hAPP(c_List_Orotate(_u16513, _u16514), _u16515)) = hAPP(c_List_Orotate(_u16513, _u16514), hAPP(c_List_Orotate1(_u16513), _u16515))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_rotate__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_rotate__def-1, axiom, ( ( c_List_Orotate(_u16516, _u16517) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(_u16516), tc_List_Olist(_u16516)), _u16517), c_List_Orotate1(_u16516))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_tl__append2 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_tl__append2-1, axiom, ( ( _u16518 = c_List_Olist_ONil(_u16519)) | ( hAPP(c_List_Otl(_u16519), hAPP(hAPP(c_List_Oappend(_u16519), _u16518), _u16520)) = hAPP(hAPP(c_List_Oappend(_u16519), hAPP(c_List_Otl(_u16519), _u16518)), _u16520)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_take__tl ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_take__tl-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16521), _u16522), hAPP(c_List_Otl(_u16521), _u16523)) = hAPP(c_List_Otl(_u16521), hAPP(hAPP(c_List_Otake(_u16521), hAPP(c_Nat_OSuc, _u16522)), _u16523))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_rotate__conv__mod ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_rotate__conv__mod-1, axiom, ( ( hAPP(c_List_Orotate(_u16524, _u16525), _u16526) = hAPP(c_List_Orotate(_u16524, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16525, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16524)), _u16526))), _u16526)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_drop__Suc ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_drop__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16527), hAPP(c_Nat_OSuc, _u16528)), _u16529) = hAPP(hAPP(c_List_Odrop(_u16527), _u16528), hAPP(c_List_Otl(_u16527), _u16529))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_rotate__Suc ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_rotate__Suc-1, axiom, ( ( hAPP(c_List_Orotate(_u16530, hAPP(c_Nat_OSuc, _u16531)), _u16532) = hAPP(c_List_Orotate1(_u16530), hAPP(c_List_Orotate(_u16530, _u16531), _u16532))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_tl__append ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_tl__append-1, axiom, ( ( hAPP(c_List_Otl(_u16533), hAPP(hAPP(c_List_Oappend(_u16533), _u16534), _u16535)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u16533), _u16533, hAPP(c_List_Otl(_u16533), _u16535), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u16533), tc_List_Olist(_u16533)), _u16533), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16533), tc_List_Olist(_u16533), tc_List_Olist(_u16533)), c_List_Oappend(_u16533)), _u16535))), _u16534)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_rotate__id ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_rotate__id-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16536, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16537)), _u16538)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Orotate(_u16537, _u16536), _u16538) = _u16538) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_rotate__length01 ( axiom ) converted to clauses:
% 12.54/12.74 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(_u16539)), _u16540)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate(_u16539, _u16541), _u16540) = _u16540) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_length__tl ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_length__tl-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16542)), hAPP(c_List_Otl(_u16542), _u16543)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16542)), _u16543)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_tl__take ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_tl__take-1, axiom, ( ( hAPP(c_List_Otl(_u16544), hAPP(hAPP(c_List_Otake(_u16544), _u16545), _u16546)) = hAPP(hAPP(c_List_Otake(_u16544), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16545), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_List_Otl(_u16544), _u16546))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_take__Suc ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_take__Suc-1, axiom, ( ( _u16547 = c_List_Olist_ONil(_u16548)) | ( hAPP(hAPP(c_List_Otake(_u16548), hAPP(c_Nat_OSuc, _u16549)), _u16547) = hAPP(hAPP(c_List_Olist_OCons(_u16548), hAPP(c_List_Ohd(_u16548), _u16547)), hAPP(hAPP(c_List_Otake(_u16548), _u16549), hAPP(c_List_Otl(_u16548), _u16547)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_rotate__drop__take ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_rotate__drop__take-1, axiom, ( ( hAPP(c_List_Orotate(_u16550, _u16551), _u16552) = hAPP(hAPP(c_List_Oappend(_u16550), hAPP(hAPP(c_List_Odrop(_u16550), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16551, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16550)), _u16552))), _u16552)), hAPP(hAPP(c_List_Otake(_u16550), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16551, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16550)), _u16552))), _u16552))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_fold1__set ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_fold1__set-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u16553) | ( _u16554 = c_List_Olist_ONil(_u16553)) | ( hAPP(c_Finite__Set_Ofold1(_u16553, c_Groups_Otimes__class_Otimes(_u16553)), hAPP(c_List_Oset(_u16553), _u16554)) = hAPP(c_List_Ofoldl(_u16553, _u16553, c_Groups_Otimes__class_Otimes(_u16553), hAPP(c_List_Ohd(_u16553), _u16554)), hAPP(c_List_Otl(_u16553), _u16554))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sorted__list__of__set__insert ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_sorted__list__of__set__insert-1, axiom, ( ~class_Orderings_Olinorder(_u16555) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16555), _u16556)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u16555, hAPP(hAPP(c_Set_Oinsert(_u16555), _u16557), _u16556)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16555, _u16555, c_COMBI(_u16555)), _u16557), c_List_Olinorder__class_Osorted__list__of__set(_u16555, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16555, tc_HOL_Obool)), _u16556), hAPP(hAPP(c_Set_Oinsert(_u16555), _u16557), c_Orderings_Obot__class_Obot(tc_fun(_u16555, tc_HOL_Obool))))))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_foldl__Nil ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_foldl__Nil-1, axiom, ( ( hAPP(c_List_Ofoldl(_u16558, _u16559, _u16560, _u16561), c_List_Olist_ONil(_u16559)) = _u16561) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_insort__not__Nil ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_insort__not__Nil-1, axiom, ( ~class_Orderings_Olinorder(_u16562) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16563, _u16562, _u16564), _u16565), _u16566) != c_List_Olist_ONil(_u16563)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_remove1__insort ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_remove1__insort-1, axiom, ( ~class_Orderings_Olinorder(_u16567) | ( c_List_Oremove1(_u16567, _u16568, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16567, _u16567, c_COMBI(_u16567)), _u16568), _u16569)) = _u16569) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_start__le__sum ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_start__le__sum-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16570), _u16571)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16570), hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16571), _u16572))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_foldl__absorb0 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_foldl__absorb0-1, axiom, ( ~class_Groups_Omonoid__add(_u16573) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16573), _u16574), hAPP(c_List_Ofoldl(_u16573, _u16573, c_Groups_Oplus__class_Oplus(_u16573), c_Groups_Ozero__class_Ozero(_u16573)), _u16575)) = hAPP(c_List_Ofoldl(_u16573, _u16573, c_Groups_Oplus__class_Oplus(_u16573), _u16574), _u16575)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_insort__key__left__comm ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_insort__key__left__comm-1, axiom, ( ~class_Orderings_Olinorder(_u16576) | ( hAPP(_u16577, _u16578) = hAPP(_u16577, _u16579)) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16580, _u16576, _u16577), _u16579), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16580, _u16576, _u16577), _u16578), _u16581)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16580, _u16576, _u16577), _u16578), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16580, _u16576, _u16577), _u16579), _u16581))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_foldl__assoc ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_foldl__assoc-1, axiom, ( ~class_Groups_Osemigroup__add(_u16582) | ( hAPP(c_List_Ofoldl(_u16582, _u16582, c_Groups_Oplus__class_Oplus(_u16582), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16582), _u16583), _u16584)), _u16585) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16582), _u16583), hAPP(c_List_Ofoldl(_u16582, _u16582, c_Groups_Oplus__class_Oplus(_u16582), _u16584), _u16585))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_insort__left__comm ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_insort__left__comm-1, axiom, ( ~class_Orderings_Olinorder(_u16586) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16586, _u16586, c_COMBI(_u16586)), _u16587), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16586, _u16586, c_COMBI(_u16586)), _u16588), _u16589)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16586, _u16586, c_COMBI(_u16586)), _u16588), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16586, _u16586, c_COMBI(_u16586)), _u16587), _u16589))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_fun__left__comm__insort ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_fun__left__comm__insort-1, axiom, ( ~class_Orderings_Olinorder(_u16590) | c_Finite__Set_Ofun__left__comm(_u16590, tc_List_Olist(_u16590), c_List_Olinorder__class_Oinsort__key(_u16590, _u16590, c_COMBI(_u16590))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_length__insort ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_length__insort-1, axiom, ( ~class_Orderings_Olinorder(_u16591) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16592)), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16592, _u16591, _u16593), _u16594), _u16595)) = hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16592)), _u16595))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__insort ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__insort-1, axiom, ( ~class_Orderings_Olinorder(_u16596) | ( hAPP(c_List_Oset(_u16597), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16597, _u16596, _u16598), _u16599), _u16600)) = hAPP(hAPP(c_Set_Oinsert(_u16597), _u16599), hAPP(c_List_Oset(_u16597), _u16600))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_foldl__Cons ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_foldl__Cons-1, axiom, ( ( hAPP(c_List_Ofoldl(_u16601, _u16602, _u16603, _u16604), hAPP(hAPP(c_List_Olist_OCons(_u16602), _u16605), _u16606)) = hAPP(c_List_Ofoldl(_u16601, _u16602, _u16603, hAPP(hAPP(_u16603, _u16604), _u16605)), _u16606)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_insort__key_Osimps_I2_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_insort__key_Osimps_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u16607) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16607), hAPP(_u16608, _u16609)), hAPP(_u16608, _u16610))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16611, _u16607, _u16608), _u16609), hAPP(hAPP(c_List_Olist_OCons(_u16611), _u16610), _u16612)) = hAPP(hAPP(c_List_Olist_OCons(_u16611), _u16609), hAPP(hAPP(c_List_Olist_OCons(_u16611), _u16610), _u16612))) )).
% 12.54/12.74 cnf(fact_insort__key_Osimps_I2_J-2, axiom, ( ~class_Orderings_Olinorder(_u16607) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16607), hAPP(_u16608, _u16609)), hAPP(_u16608, _u16610))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16611, _u16607, _u16608), _u16609), hAPP(hAPP(c_List_Olist_OCons(_u16611), _u16610), _u16612)) = hAPP(hAPP(c_List_Olist_OCons(_u16611), _u16610), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16611, _u16607, _u16608), _u16609), _u16612))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_insort__key_Osimps_I1_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_insort__key_Osimps_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u16613) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16614, _u16613, _u16615), _u16616), c_List_Olist_ONil(_u16614)) = hAPP(hAPP(c_List_Olist_OCons(_u16614), _u16616), c_List_Olist_ONil(_u16614))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_foldl__append ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_foldl__append-1, axiom, ( ( hAPP(c_List_Ofoldl(_u16617, _u16618, _u16619, _u16620), hAPP(hAPP(c_List_Oappend(_u16618), _u16621), _u16622)) = hAPP(c_List_Ofoldl(_u16617, _u16618, _u16619, hAPP(c_List_Ofoldl(_u16617, _u16618, _u16619, _u16620), _u16621)), _u16622)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listsum__foldl ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listsum__foldl-1, axiom, ( ~class_Groups_Omonoid__add(_u16623) | ( c_List_Omonoid__add__class_Olistsum(_u16623) = c_List_Ofoldl(_u16623, _u16623, c_Groups_Oplus__class_Oplus(_u16623), c_Groups_Ozero__class_Ozero(_u16623))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sum__eq__0__conv ( axiom ) converted to clauses:
% 12.54/12.74 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), _u16628), _u16630) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16628 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.74 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), _u16628), _u16630) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16624), hAPP(c_List_Oset(tc_Nat_Onat), _u16630))) | ( _u16624 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.74 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), _u16629), _u16631) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16629 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem444(_u16631, _u16629)), hAPP(c_List_Oset(tc_Nat_Onat), _u16631))) )).
% 12.54/12.74 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), _u16629), _u16631) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16629 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem444(_u16631, _u16629) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_distinct__insort ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_distinct__insort-1, axiom, ( ~class_Orderings_Olinorder(_u16632) | ~hBOOL(hAPP(c_List_Odistinct(_u16633), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16633, _u16632, _u16634), _u16635), _u16636))) | ~hBOOL(hAPP(hAPP(c_member(_u16633), _u16635), hAPP(c_List_Oset(_u16633), _u16636))) )).
% 12.54/12.74 cnf(fact_distinct__insort-2, axiom, ( ~class_Orderings_Olinorder(_u16632) | ~hBOOL(hAPP(c_List_Odistinct(_u16633), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16633, _u16632, _u16634), _u16635), _u16636))) | hBOOL(hAPP(c_List_Odistinct(_u16633), _u16636)) )).
% 12.54/12.74 cnf(fact_distinct__insort-3, axiom, ( ~class_Orderings_Olinorder(_u16632) | hBOOL(hAPP(hAPP(c_member(_u16633), _u16635), hAPP(c_List_Oset(_u16633), _u16636))) | ~hBOOL(hAPP(c_List_Odistinct(_u16633), _u16636)) | hBOOL(hAPP(c_List_Odistinct(_u16633), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16633, _u16632, _u16634), _u16635), _u16636))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_fun__left__comm__idem_Ofold__set ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_fun__left__comm__idem_Ofold__set-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u16637, _u16638, _u16639) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16637, _u16638, _u16639), _u16640), hAPP(c_List_Oset(_u16637), _u16641)) = hAPP(c_List_Ofoldl(_u16638, _u16637, hAPP(c_COMBC(_u16637, _u16638, _u16638), _u16639), _u16640), _u16641)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_Sup__set__fold ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_Sup__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16642) | ( c_Complete__Lattice_OSup__class_OSup(_u16642, hAPP(c_List_Oset(_u16642), _u16643)) = hAPP(c_List_Ofoldl(_u16642, _u16642, c_Lattices_Osemilattice__sup__class_Osup(_u16642), c_Orderings_Obot__class_Obot(_u16642)), _u16643)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_Inf__set__fold ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_Inf__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16644) | ( c_Complete__Lattice_OInf__class_OInf(_u16644, hAPP(c_List_Oset(_u16644), _u16645)) = hAPP(c_List_Ofoldl(_u16644, _u16644, c_Lattices_Osemilattice__inf__class_Oinf(_u16644), c_Orderings_Otop__class_Otop(_u16644)), _u16645)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_Sup__fin__set__fold ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_Sup__fin__set__fold-1, axiom, ( ~class_Lattices_Olattice(_u16646) | ( c_Big__Operators_Olattice__class_OSup__fin(_u16646, hAPP(c_List_Oset(_u16646), hAPP(hAPP(c_List_Olist_OCons(_u16646), _u16647), _u16648))) = hAPP(c_List_Ofoldl(_u16646, _u16646, c_Lattices_Osemilattice__sup__class_Osup(_u16646), _u16647), _u16648)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_Inf__fin__set__fold ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_Inf__fin__set__fold-1, axiom, ( ~class_Lattices_Olattice(_u16649) | ( c_Big__Operators_Olattice__class_OInf__fin(_u16649, hAPP(c_List_Oset(_u16649), hAPP(hAPP(c_List_Olist_OCons(_u16649), _u16650), _u16651))) = hAPP(c_List_Ofoldl(_u16649, _u16649, c_Lattices_Osemilattice__inf__class_Oinf(_u16649), _u16650), _u16651)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_Min__fin__set__fold ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_Min__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u16652) | ( c_Big__Operators_Olinorder__class_OMin(_u16652, hAPP(c_List_Oset(_u16652), hAPP(hAPP(c_List_Olist_OCons(_u16652), _u16653), _u16654))) = hAPP(c_List_Ofoldl(_u16652, _u16652, c_Orderings_Oord__class_Omin(_u16652), _u16653), _u16654)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_Max__fin__set__fold ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_Max__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u16655) | ( c_Big__Operators_Olinorder__class_OMax(_u16655, hAPP(c_List_Oset(_u16655), hAPP(hAPP(c_List_Olist_OCons(_u16655), _u16656), _u16657))) = hAPP(c_List_Ofoldl(_u16655, _u16655, c_Orderings_Oord__class_Omax(_u16655), _u16656), _u16657)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_min__max_OInf__fin__set__fold ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_min__max_OInf__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u16658) | ( c_Big__Operators_Olattice_OInf__fin(_u16658, c_Orderings_Oord__class_Omin(_u16658), hAPP(c_List_Oset(_u16658), hAPP(hAPP(c_List_Olist_OCons(_u16658), _u16659), _u16660))) = hAPP(c_List_Ofoldl(_u16658, _u16658, c_Orderings_Oord__class_Omin(_u16658), _u16659), _u16660)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_min__max_OSup__fin__set__fold ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_min__max_OSup__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u16661) | ( c_Big__Operators_Olattice_OSup__fin(_u16661, c_Orderings_Oord__class_Omax(_u16661), hAPP(c_List_Oset(_u16661), hAPP(hAPP(c_List_Olist_OCons(_u16661), _u16662), _u16663))) = hAPP(c_List_Ofoldl(_u16661, _u16661, c_Orderings_Oord__class_Omax(_u16661), _u16662), _u16663)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_SUPR__set__fold ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_SUPR__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16664) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16665, _u16664), hAPP(c_List_Oset(_u16665), _u16666)), _u16667) = hAPP(c_List_Ofoldl(_u16664, _u16665, hAPP(c_COMBC(_u16665, _u16664, _u16664), hAPP(hAPP(c_COMBB(_u16664, tc_fun(_u16664, _u16664), _u16665), c_Lattices_Osemilattice__sup__class_Osup(_u16664)), _u16667)), c_Orderings_Obot__class_Obot(_u16664)), _u16666)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_INFI__set__fold ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_INFI__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16668) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16669, _u16668), hAPP(c_List_Oset(_u16669), _u16670)), _u16671) = hAPP(c_List_Ofoldl(_u16668, _u16669, hAPP(c_COMBC(_u16669, _u16668, _u16668), hAPP(hAPP(c_COMBB(_u16668, tc_fun(_u16668, _u16668), _u16669), c_Lattices_Osemilattice__inf__class_Oinf(_u16668)), _u16671)), c_Orderings_Otop__class_Otop(_u16668)), _u16670)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_elem__le__sum ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_elem__le__sum-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16672), hAPP(c_List_Oset(tc_Nat_Onat), _u16673))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16672), 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)), _u16673))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_insort__insert__insort__key ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_insort__insert__insort__key-1, axiom, ( ~class_Orderings_Olinorder(_u16674) | hBOOL(hAPP(hAPP(c_member(_u16674), hAPP(_u16675, _u16676)), hAPP(c_Set_Oimage(_u16677, _u16674, _u16675), hAPP(c_List_Oset(_u16677), _u16678)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16677, _u16674, _u16675, _u16676, _u16678) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16677, _u16674, _u16675), _u16676), _u16678)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_lexord__append__rightI ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_lexord__append__rightI-1, axiom, ( ( _u16681 != hAPP(hAPP(c_List_Olist_OCons(_u16682), _u16680), _u16679)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16682), tc_List_Olist(_u16682))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16682), tc_List_Olist(_u16682)), _u16683), hAPP(hAPP(c_List_Oappend(_u16682), _u16683), _u16681))), c_List_Olexord(_u16682, _u16684))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_distinct__insort__insert ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_distinct__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u16685) | ~hBOOL(hAPP(c_List_Odistinct(_u16686), _u16687)) | hBOOL(hAPP(c_List_Odistinct(_u16686), c_List_Olinorder__class_Oinsort__insert__key(_u16686, _u16685, _u16688, _u16689, _u16687))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_insort__insert__triv ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_insort__insert__triv-1, axiom, ( ~class_Orderings_Olinorder(_u16690) | ~hBOOL(hAPP(hAPP(c_member(_u16690), _u16691), hAPP(c_List_Oset(_u16690), _u16692))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16690, _u16690, c_COMBI(_u16690), _u16691, _u16692) = _u16692) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__insort__insert ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u16693) | ( hAPP(c_List_Oset(_u16693), c_List_Olinorder__class_Oinsort__insert__key(_u16693, _u16693, c_COMBI(_u16693), _u16694, _u16695)) = hAPP(hAPP(c_Set_Oinsert(_u16693), _u16694), hAPP(c_List_Oset(_u16693), _u16695))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_insort__insert__key__triv ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_insort__insert__key__triv-1, axiom, ( ~class_Orderings_Olinorder(_u16696) | ~hBOOL(hAPP(hAPP(c_member(_u16696), hAPP(_u16697, _u16698)), hAPP(c_Set_Oimage(_u16699, _u16696, _u16697), hAPP(c_List_Oset(_u16699), _u16700)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16699, _u16696, _u16697, _u16698, _u16700) = _u16700) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_insort__insert__insort ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_insort__insert__insort-1, axiom, ( ~class_Orderings_Olinorder(_u16701) | hBOOL(hAPP(hAPP(c_member(_u16701), _u16702), hAPP(c_List_Oset(_u16701), _u16703))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16701, _u16701, c_COMBI(_u16701), _u16702, _u16703) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16701, _u16701, c_COMBI(_u16701)), _u16702), _u16703)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_lexord__Nil__left ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_lexord__Nil__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16711), tc_List_Olist(_u16711))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16711), tc_List_Olist(_u16711)), c_List_Olist_ONil(_u16711)), _u16713)), c_List_Olexord(_u16711, _u16715))) | ( _u16713 = hAPP(hAPP(c_List_Olist_OCons(_u16711), skolem445(_u16715, _u16713, _u16711)), skolem446(_u16715, _u16713, _u16711))) )).
% 12.54/12.74 cnf(fact_lexord__Nil__left-2, axiom, ( ( _u16714 != hAPP(hAPP(c_List_Olist_OCons(_u16712), _u16707), _u16706)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16712), tc_List_Olist(_u16712))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16712), tc_List_Olist(_u16712)), c_List_Olist_ONil(_u16712)), _u16714)), c_List_Olexord(_u16712, _u16716))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_last__list__update ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_last__list__update-1, axiom, ( ( _u16717 = c_List_Olist_ONil(_u16718)) | ( _u16719 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16718)), _u16717)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u16718, hAPP(hAPP(c_List_Olist__update(_u16718, _u16717), _u16719), _u16720)) = _u16720) )).
% 12.54/12.74 cnf(fact_last__list__update-2, axiom, ( ( _u16717 = c_List_Olist_ONil(_u16718)) | ( _u16719 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16718)), _u16717)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u16718, hAPP(hAPP(c_List_Olist__update(_u16718, _u16717), _u16719), _u16720)) = c_List_Olast(_u16718, _u16717)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_last__ConsL ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_last__ConsL-1, axiom, ( ( _u16721 != c_List_Olist_ONil(_u16722)) | ( c_List_Olast(_u16722, hAPP(hAPP(c_List_Olist_OCons(_u16722), _u16723), _u16721)) = _u16723) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_last__ConsR ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_last__ConsR-1, axiom, ( ( _u16724 = c_List_Olist_ONil(_u16725)) | ( c_List_Olast(_u16725, hAPP(hAPP(c_List_Olist_OCons(_u16725), _u16726), _u16724)) = c_List_Olast(_u16725, _u16724)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_last_Osimps ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_last_Osimps-1, axiom, ( ( _u16730 != c_List_Olist_ONil(_u16732)) | ( c_List_Olast(_u16732, hAPP(hAPP(c_List_Olist_OCons(_u16732), _u16734), _u16730)) = _u16734) )).
% 12.54/12.74 cnf(fact_last_Osimps-2, axiom, ( ( _u16731 = c_List_Olist_ONil(_u16733)) | ( c_List_Olast(_u16733, hAPP(hAPP(c_List_Olist_OCons(_u16733), _u16735), _u16731)) = c_List_Olast(_u16733, _u16731)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_last__appendL ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_last__appendL-1, axiom, ( ( _u16736 != c_List_Olist_ONil(_u16737)) | ( c_List_Olast(_u16737, hAPP(hAPP(c_List_Oappend(_u16737), _u16738), _u16736)) = c_List_Olast(_u16737, _u16738)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_last__appendR ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_last__appendR-1, axiom, ( ( _u16739 = c_List_Olist_ONil(_u16740)) | ( c_List_Olast(_u16740, hAPP(hAPP(c_List_Oappend(_u16740), _u16741), _u16739)) = c_List_Olast(_u16740, _u16739)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_last__append ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_last__append-1, axiom, ( ( _u16745 != c_List_Olist_ONil(_u16747)) | ( c_List_Olast(_u16747, hAPP(hAPP(c_List_Oappend(_u16747), _u16749), _u16745)) = c_List_Olast(_u16747, _u16749)) )).
% 12.54/12.74 cnf(fact_last__append-2, axiom, ( ( _u16746 = c_List_Olist_ONil(_u16748)) | ( c_List_Olast(_u16748, hAPP(hAPP(c_List_Oappend(_u16748), _u16750), _u16746)) = c_List_Olast(_u16748, _u16746)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_last__in__set ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_last__in__set-1, axiom, ( ( _u16751 = c_List_Olist_ONil(_u16752)) | hBOOL(hAPP(hAPP(c_member(_u16752), c_List_Olast(_u16752, _u16751)), hAPP(c_List_Oset(_u16752), _u16751))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_last__snoc ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_last__snoc-1, axiom, ( ( c_List_Olast(_u16753, hAPP(hAPP(c_List_Oappend(_u16753), _u16754), hAPP(hAPP(c_List_Olist_OCons(_u16753), _u16755), c_List_Olist_ONil(_u16753)))) = _u16755) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_last__drop ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_last__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16756), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16757)), _u16758))) | ( c_List_Olast(_u16757, hAPP(hAPP(c_List_Odrop(_u16757), _u16756), _u16758)) = c_List_Olast(_u16757, _u16758)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_snoc__eq__iff__butlast ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_snoc__eq__iff__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16763), _u16765), hAPP(hAPP(c_List_Olist_OCons(_u16763), _u16767), c_List_Olist_ONil(_u16763))) != _u16769) | ( _u16769 != c_List_Olist_ONil(_u16763)) )).
% 12.54/12.74 cnf(fact_snoc__eq__iff__butlast-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16763), _u16765), hAPP(hAPP(c_List_Olist_OCons(_u16763), _u16767), c_List_Olist_ONil(_u16763))) != _u16769) | ( c_List_Obutlast(_u16763, _u16769) = _u16765) )).
% 12.54/12.74 cnf(fact_snoc__eq__iff__butlast-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16763), _u16765), hAPP(hAPP(c_List_Olist_OCons(_u16763), _u16767), c_List_Olist_ONil(_u16763))) != _u16769) | ( c_List_Olast(_u16763, _u16769) = _u16767) )).
% 12.54/12.74 cnf(fact_snoc__eq__iff__butlast-4, axiom, ( ( _u16770 = c_List_Olist_ONil(_u16764)) | ( c_List_Obutlast(_u16764, _u16770) != _u16766) | ( c_List_Olast(_u16764, _u16770) != _u16768) | ( hAPP(hAPP(c_List_Oappend(_u16764), _u16766), hAPP(hAPP(c_List_Olist_OCons(_u16764), _u16768), c_List_Olist_ONil(_u16764))) = _u16770) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_append__butlast__last__id ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_append__butlast__last__id-1, axiom, ( ( _u16771 = c_List_Olist_ONil(_u16772)) | ( hAPP(hAPP(c_List_Oappend(_u16772), c_List_Obutlast(_u16772, _u16771)), hAPP(hAPP(c_List_Olist_OCons(_u16772), c_List_Olast(_u16772, _u16771)), c_List_Olist_ONil(_u16772))) = _u16771) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_last__conv__nth ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_last__conv__nth-1, axiom, ( ( _u16773 = c_List_Olist_ONil(_u16774)) | ( c_List_Olast(_u16774, _u16773) = hAPP(hAPP(c_List_Onth(_u16774), _u16773), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16774)), _u16773)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_lists_Osimps ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_lists_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16782)), _u16784), c_List_Olists(_u16782, _u16786))) | ( _u16784 = c_List_Olist_ONil(_u16782)) | hBOOL(hAPP(hAPP(c_member(_u16782), skolem447(_u16786, _u16784, _u16782)), _u16786)) )).
% 12.54/12.74 cnf(fact_lists_Osimps-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16782)), _u16784), c_List_Olists(_u16782, _u16786))) | ( _u16784 = c_List_Olist_ONil(_u16782)) | ( _u16784 = hAPP(hAPP(c_List_Olist_OCons(_u16782), skolem447(_u16786, _u16784, _u16782)), skolem448(_u16786, _u16784, _u16782))) )).
% 12.54/12.74 cnf(fact_lists_Osimps-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16782)), _u16784), c_List_Olists(_u16782, _u16786))) | ( _u16784 = c_List_Olist_ONil(_u16782)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16782)), skolem448(_u16786, _u16784, _u16782)), c_List_Olists(_u16782, _u16786))) )).
% 12.54/12.74 cnf(fact_lists_Osimps-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16783)), _u16785), c_List_Olists(_u16783, _u16787))) | ( _u16785 != c_List_Olist_ONil(_u16783)) )).
% 12.54/12.74 cnf(fact_lists_Osimps-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16783)), _u16785), c_List_Olists(_u16783, _u16787))) | ~hBOOL(hAPP(hAPP(c_member(_u16783), _u16778), _u16787)) | ( _u16785 != hAPP(hAPP(c_List_Olist_OCons(_u16783), _u16778), _u16777)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16783)), _u16777), c_List_Olists(_u16783, _u16787))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_select__weigth__select ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_select__weigth__select-1, axiom, ( ( _u16788 = c_List_Olist_ONil(_u16789)) | ( c_Random_Oselect__weight(_u16789, hAPP(hAPP(c_List_Omap(_u16789, tc_prod(tc_Code__Numeral_Ocode__numeral, _u16789)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u16789), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u16788)) = c_Random_Oselect(_u16789, _u16788)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_inj__mapI ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_inj__mapI-1, axiom, ( ~c_Fun_Oinj__on(_u16790, _u16791, _u16792, c_Orderings_Otop__class_Otop(tc_fun(_u16790, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u16790), tc_List_Olist(_u16791), hAPP(c_List_Omap(_u16790, _u16791), _u16792), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u16790), tc_HOL_Obool))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_last__map ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_last__map-1, axiom, ( ( _u16793 = c_List_Olist_ONil(_u16794)) | ( c_List_Olast(_u16795, hAPP(hAPP(c_List_Omap(_u16794, _u16795), _u16796), _u16793)) = hAPP(_u16796, c_List_Olast(_u16794, _u16793))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__size__map ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__size__map-1, axiom, ( ( c_List_Olist_Olist__size(_u16797, _u16798, hAPP(hAPP(c_List_Omap(_u16799, _u16797), _u16800), _u16801)) = c_List_Olist_Olist__size(_u16799, hAPP(c_Fun_Ocomp(_u16797, tc_Nat_Onat, _u16799, _u16798), _u16800), _u16801)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_map__map ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_map__map-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16802, _u16803), _u16804), hAPP(hAPP(c_List_Omap(_u16805, _u16802), _u16806), _u16807)) = hAPP(hAPP(c_List_Omap(_u16805, _u16803), hAPP(c_Fun_Ocomp(_u16802, _u16803, _u16805, _u16804), _u16806)), _u16807)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_List_Omap_Ocompositionality ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_List_Omap_Ocompositionality-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16808, _u16809), _u16810), hAPP(hAPP(c_List_Omap(_u16811, _u16808), _u16812), _u16813)) = hAPP(hAPP(c_List_Omap(_u16811, _u16809), hAPP(c_Fun_Ocomp(_u16808, _u16809, _u16811, _u16810), _u16812)), _u16813)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_map__comp__map ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_map__comp__map-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u16814), tc_List_Olist(_u16815), tc_List_Olist(_u16816), hAPP(c_List_Omap(_u16814, _u16815), _u16817)), hAPP(c_List_Omap(_u16816, _u16814), _u16818)) = hAPP(c_List_Omap(_u16816, _u16815), hAPP(c_Fun_Ocomp(_u16814, _u16815, _u16816, _u16817), _u16818))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_List_Omap_Ocomp ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_List_Omap_Ocomp-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u16819), tc_List_Olist(_u16820), tc_List_Olist(_u16821), hAPP(c_List_Omap(_u16819, _u16820), _u16822)), hAPP(c_List_Omap(_u16821, _u16819), _u16823)) = hAPP(c_List_Omap(_u16821, _u16820), hAPP(c_Fun_Ocomp(_u16819, _u16820, _u16821, _u16822), _u16823))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_List_Omap_Oid ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_List_Omap_Oid-1, axiom, ( ( hAPP(c_List_Omap(_u16824, _u16824), c_Fun_Oid(_u16824)) = c_Fun_Oid(tc_List_Olist(_u16824))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_List_Omap_Oidentity ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_List_Omap_Oidentity-1, axiom, ( ( hAPP(c_List_Omap(_u16825, _u16825), c_COMBI(_u16825)) = c_Fun_Oid(tc_List_Olist(_u16825))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_drop__map ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_drop__map-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16826), _u16827), hAPP(hAPP(c_List_Omap(_u16828, _u16826), _u16829), _u16830)) = hAPP(hAPP(c_List_Omap(_u16828, _u16826), _u16829), hAPP(hAPP(c_List_Odrop(_u16828), _u16827), _u16830))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_hd__map ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_hd__map-1, axiom, ( ( _u16831 = c_List_Olist_ONil(_u16832)) | ( hAPP(c_List_Ohd(_u16833), hAPP(hAPP(c_List_Omap(_u16832, _u16833), _u16834), _u16831)) = hAPP(_u16834, hAPP(c_List_Ohd(_u16832), _u16831))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_map__append ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_map__append-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16835, _u16836), _u16837), hAPP(hAPP(c_List_Oappend(_u16835), _u16838), _u16839)) = hAPP(hAPP(c_List_Oappend(_u16836), hAPP(hAPP(c_List_Omap(_u16835, _u16836), _u16837), _u16838)), hAPP(hAPP(c_List_Omap(_u16835, _u16836), _u16837), _u16839))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_map_Osimps_I2_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_map_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16840, _u16841), _u16842), hAPP(hAPP(c_List_Olist_OCons(_u16840), _u16843), _u16844)) = hAPP(hAPP(c_List_Olist_OCons(_u16841), hAPP(_u16842, _u16843)), hAPP(hAPP(c_List_Omap(_u16840, _u16841), _u16842), _u16844))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__map ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__map-1, axiom, ( ( hAPP(c_List_Oset(_u16845), hAPP(hAPP(c_List_Omap(_u16846, _u16845), _u16847), _u16848)) = hAPP(c_Set_Oimage(_u16846, _u16845, _u16847), hAPP(c_List_Oset(_u16846), _u16848))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_map__butlast ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_map__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16849, _u16850), _u16851), c_List_Obutlast(_u16849, _u16852)) = c_List_Obutlast(_u16850, hAPP(hAPP(c_List_Omap(_u16849, _u16850), _u16851), _u16852))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_take__map ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_take__map-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16853), _u16854), hAPP(hAPP(c_List_Omap(_u16855, _u16853), _u16856), _u16857)) = hAPP(hAPP(c_List_Omap(_u16855, _u16853), _u16856), hAPP(hAPP(c_List_Otake(_u16855), _u16854), _u16857))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_map__ident ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_map__ident-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16858, _u16858), c_COMBI(_u16858)), _u16859) = _u16859) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_inj__map__eq__map ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_inj__map__eq__map-1, axiom, ( ~c_Fun_Oinj__on(_u16860, _u16861, _u16862, c_Orderings_Otop__class_Otop(tc_fun(_u16860, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u16860, _u16861), _u16862), _u16863) != hAPP(hAPP(c_List_Omap(_u16860, _u16861), _u16862), _u16864)) | ( _u16863 = _u16864) )).
% 12.54/12.74 cnf(fact_inj__map__eq__map-2, axiom, ( ~c_Fun_Oinj__on(_u16860, _u16861, _u16862, c_Orderings_Otop__class_Otop(tc_fun(_u16860, tc_HOL_Obool))) | ( _u16863 != _u16864) | ( hAPP(hAPP(c_List_Omap(_u16860, _u16861), _u16862), _u16863) = hAPP(hAPP(c_List_Omap(_u16860, _u16861), _u16862), _u16864)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_map__injective ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_map__injective-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16865, _u16866), _u16867), _u16868) != hAPP(hAPP(c_List_Omap(_u16865, _u16866), _u16867), _u16869)) | ~c_Fun_Oinj__on(_u16865, _u16866, _u16867, c_Orderings_Otop__class_Otop(tc_fun(_u16865, tc_HOL_Obool))) | ( _u16868 = _u16869) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listsum__subtractf ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listsum__subtractf-1, axiom, ( ~class_Groups_Oab__group__add(_u16870) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16870), hAPP(hAPP(c_List_Omap(_u16871, _u16870), hAPP(hAPP(c_COMBS(_u16871, _u16870, _u16870), hAPP(hAPP(c_COMBB(_u16870, tc_fun(_u16870, _u16870), _u16871), c_Groups_Ominus__class_Ominus(_u16870)), _u16872)), _u16873)), _u16874)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u16870), hAPP(c_List_Omonoid__add__class_Olistsum(_u16870), hAPP(hAPP(c_List_Omap(_u16871, _u16870), _u16872), _u16874))), hAPP(c_List_Omonoid__add__class_Olistsum(_u16870), hAPP(hAPP(c_List_Omap(_u16871, _u16870), _u16873), _u16874)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listsum__addf ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listsum__addf-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u16875) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16875), hAPP(hAPP(c_List_Omap(_u16876, _u16875), hAPP(hAPP(c_COMBS(_u16876, _u16875, _u16875), hAPP(hAPP(c_COMBB(_u16875, tc_fun(_u16875, _u16875), _u16876), c_Groups_Oplus__class_Oplus(_u16875)), _u16877)), _u16878)), _u16879)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16875), hAPP(c_List_Omonoid__add__class_Olistsum(_u16875), hAPP(hAPP(c_List_Omap(_u16876, _u16875), _u16877), _u16879))), hAPP(c_List_Omonoid__add__class_Olistsum(_u16875), hAPP(hAPP(c_List_Omap(_u16876, _u16875), _u16878), _u16879)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listsum__const__mult ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listsum__const__mult-1, axiom, ( ~class_Rings_Osemiring__0(_u16880) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16880), hAPP(hAPP(c_List_Omap(_u16881, _u16880), hAPP(hAPP(c_COMBB(_u16880, _u16880, _u16881), hAPP(c_Groups_Otimes__class_Otimes(_u16880), _u16882)), _u16883)), _u16884)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u16880), _u16882), hAPP(c_List_Omonoid__add__class_Olistsum(_u16880), hAPP(hAPP(c_List_Omap(_u16881, _u16880), _u16883), _u16884)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listsum__mult__const ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listsum__mult__const-1, axiom, ( ~class_Rings_Osemiring__0(_u16885) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16885), hAPP(hAPP(c_List_Omap(_u16886, _u16885), hAPP(hAPP(c_COMBC(_u16886, _u16885, _u16885), hAPP(hAPP(c_COMBB(_u16885, tc_fun(_u16885, _u16885), _u16886), c_Groups_Otimes__class_Otimes(_u16885)), _u16887)), _u16888)), _u16889)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u16885), hAPP(c_List_Omonoid__add__class_Olistsum(_u16885), hAPP(hAPP(c_List_Omap(_u16886, _u16885), _u16887), _u16889))), _u16888)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listsum__0 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listsum__0-1, axiom, ( ~class_Groups_Omonoid__add(_u16890) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16890), hAPP(hAPP(c_List_Omap(_u16891, _u16890), hAPP(c_COMBK(_u16890, _u16891), c_Groups_Ozero__class_Ozero(_u16890))), _u16892)) = c_Groups_Ozero__class_Ozero(_u16890)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_map__eq__imp__length__eq ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_map__eq__imp__length__eq-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16893, _u16894), _u16895), _u16896) != hAPP(hAPP(c_List_Omap(_u16897, _u16894), _u16898), _u16899)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16893)), _u16896) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16897)), _u16899)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_length__map ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_length__map-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16900)), hAPP(hAPP(c_List_Omap(_u16901, _u16900), _u16902), _u16903)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16901)), _u16903)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_map__eq__conv ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_map__eq__conv-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16911, _u16913), _u16915), _u16917) != hAPP(hAPP(c_List_Omap(_u16911, _u16913), _u16919), _u16917)) | ~hBOOL(hAPP(hAPP(c_member(_u16911), _u16904), hAPP(c_List_Oset(_u16911), _u16917))) | ( hAPP(_u16915, _u16904) = hAPP(_u16919, _u16904)) )).
% 12.54/12.74 cnf(fact_map__eq__conv-2, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16912, _u16914), _u16916), _u16918) = hAPP(hAPP(c_List_Omap(_u16912, _u16914), _u16920), _u16918)) | hBOOL(hAPP(hAPP(c_member(_u16912), skolem449(_u16920, _u16918, _u16916, _u16914, _u16912)), hAPP(c_List_Oset(_u16912), _u16918))) )).
% 12.54/12.74 cnf(fact_map__eq__conv-3, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16912, _u16914), _u16916), _u16918) = hAPP(hAPP(c_List_Omap(_u16912, _u16914), _u16920), _u16918)) | ( hAPP(_u16916, skolem449(_u16920, _u16918, _u16916, _u16914, _u16912)) != hAPP(_u16920, skolem449(_u16920, _u16918, _u16916, _u16914, _u16912))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_map__update ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_map__update-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16921, _u16922), _u16923), hAPP(hAPP(c_List_Olist__update(_u16921, _u16924), _u16925), _u16926)) = hAPP(hAPP(c_List_Olist__update(_u16922, hAPP(hAPP(c_List_Omap(_u16921, _u16922), _u16923), _u16924)), _u16925), hAPP(_u16923, _u16926))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_Nil__is__map__conv ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_Nil__is__map__conv-1, axiom, ( ( _u16937 = c_List_Olist_ONil(_u16933)) | ( c_List_Olist_ONil(_u16931) != hAPP(hAPP(c_List_Omap(_u16933, _u16931), _u16935), _u16937)) )).
% 12.54/12.74 cnf(fact_Nil__is__map__conv-2, axiom, ( ( _u16938 != c_List_Olist_ONil(_u16934)) | ( c_List_Olist_ONil(_u16932) = hAPP(hAPP(c_List_Omap(_u16934, _u16932), _u16936), _u16938)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_map_Osimps_I1_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_map_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16939, _u16940), _u16941), c_List_Olist_ONil(_u16939)) = c_List_Olist_ONil(_u16940)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_map__is__Nil__conv ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_map__is__Nil__conv-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16946, _u16948), _u16950), _u16952) != c_List_Olist_ONil(_u16948)) | ( _u16952 = c_List_Olist_ONil(_u16946)) )).
% 12.54/12.74 cnf(fact_map__is__Nil__conv-2, axiom, ( ( _u16953 != c_List_Olist_ONil(_u16947)) | ( hAPP(hAPP(c_List_Omap(_u16947, _u16949), _u16951), _u16953) = c_List_Olist_ONil(_u16949)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_zip__same__conv__map ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_zip__same__conv__map-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16954, _u16954), _u16955), _u16955) = hAPP(hAPP(c_List_Omap(_u16954, tc_prod(_u16954, _u16954)), hAPP(hAPP(c_COMBS(_u16954, _u16954, tc_prod(_u16954, _u16954)), c_Product__Type_OPair(_u16954, _u16954)), c_COMBI(_u16954))), _u16955)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_zip__map2 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_zip__map2-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16956, _u16957), _u16958), hAPP(hAPP(c_List_Omap(_u16959, _u16957), _u16960), _u16961)) = hAPP(hAPP(c_List_Omap(tc_prod(_u16956, _u16959), tc_prod(_u16956, _u16957)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16956, _u16959, tc_prod(_u16956, _u16957)), hAPP(hAPP(c_COMBC(_u16956, tc_fun(_u16959, _u16957), tc_fun(_u16959, tc_prod(_u16956, _u16957))), hAPP(hAPP(c_COMBB(tc_fun(_u16957, tc_prod(_u16956, _u16957)), tc_fun(tc_fun(_u16959, _u16957), tc_fun(_u16959, tc_prod(_u16956, _u16957))), _u16956), c_COMBB(_u16957, tc_prod(_u16956, _u16957), _u16959)), c_Product__Type_OPair(_u16956, _u16957))), _u16960))), hAPP(hAPP(c_List_Ozip(_u16956, _u16959), _u16958), _u16961))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_map__zip__map2 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_map__zip__map2-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u16962, _u16963), _u16964), _u16965), hAPP(hAPP(c_List_Ozip(_u16962, _u16963), _u16966), hAPP(hAPP(c_List_Omap(_u16967, _u16963), _u16968), _u16969))) = hAPP(hAPP(c_List_Omap(tc_prod(_u16962, _u16967), _u16964), hAPP(c_Product__Type_Oprod_Oprod__case(_u16962, _u16967, _u16964), hAPP(hAPP(c_COMBB(tc_fun(_u16967, tc_prod(_u16962, _u16963)), tc_fun(_u16967, _u16964), _u16962), hAPP(c_COMBB(tc_prod(_u16962, _u16963), _u16964, _u16967), _u16965)), hAPP(hAPP(c_COMBC(_u16962, tc_fun(_u16967, _u16963), tc_fun(_u16967, tc_prod(_u16962, _u16963))), hAPP(hAPP(c_COMBB(tc_fun(_u16963, tc_prod(_u16962, _u16963)), tc_fun(tc_fun(_u16967, _u16963), tc_fun(_u16967, tc_prod(_u16962, _u16963))), _u16962), c_COMBB(_u16963, tc_prod(_u16962, _u16963), _u16967)), c_Product__Type_OPair(_u16962, _u16963))), _u16968)))), hAPP(hAPP(c_List_Ozip(_u16962, _u16967), _u16966), _u16969))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_map__zip__map ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_map__zip__map-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u16970, _u16971), _u16972), _u16973), hAPP(hAPP(c_List_Ozip(_u16970, _u16971), hAPP(hAPP(c_List_Omap(_u16974, _u16970), _u16975), _u16976)), _u16977)) = hAPP(hAPP(c_List_Omap(tc_prod(_u16974, _u16971), _u16972), hAPP(c_Product__Type_Oprod_Oprod__case(_u16974, _u16971, _u16972), hAPP(hAPP(c_COMBB(tc_fun(_u16971, tc_prod(_u16970, _u16971)), tc_fun(_u16971, _u16972), _u16974), hAPP(c_COMBB(tc_prod(_u16970, _u16971), _u16972, _u16971), _u16973)), hAPP(hAPP(c_COMBB(_u16970, tc_fun(_u16971, tc_prod(_u16970, _u16971)), _u16974), c_Product__Type_OPair(_u16970, _u16971)), _u16975)))), hAPP(hAPP(c_List_Ozip(_u16974, _u16971), _u16976), _u16977))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_zip__map1 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_zip__map1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16978, _u16979), hAPP(hAPP(c_List_Omap(_u16980, _u16978), _u16981), _u16982)), _u16983) = hAPP(hAPP(c_List_Omap(tc_prod(_u16980, _u16979), tc_prod(_u16978, _u16979)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16980, _u16979, tc_prod(_u16978, _u16979)), hAPP(hAPP(c_COMBB(_u16978, tc_fun(_u16979, tc_prod(_u16978, _u16979)), _u16980), c_Product__Type_OPair(_u16978, _u16979)), _u16981))), hAPP(hAPP(c_List_Ozip(_u16980, _u16979), _u16982), _u16983))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_zip__map__map ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_zip__map__map-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16984, _u16985), hAPP(hAPP(c_List_Omap(_u16986, _u16984), _u16987), _u16988)), hAPP(hAPP(c_List_Omap(_u16989, _u16985), _u16990), _u16991)) = hAPP(hAPP(c_List_Omap(tc_prod(_u16986, _u16989), tc_prod(_u16984, _u16985)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16986, _u16989, tc_prod(_u16984, _u16985)), hAPP(hAPP(c_COMBC(_u16986, tc_fun(_u16989, _u16985), tc_fun(_u16989, tc_prod(_u16984, _u16985))), hAPP(hAPP(c_COMBB(tc_fun(_u16985, tc_prod(_u16984, _u16985)), tc_fun(tc_fun(_u16989, _u16985), tc_fun(_u16989, tc_prod(_u16984, _u16985))), _u16986), c_COMBB(_u16985, tc_prod(_u16984, _u16985), _u16989)), hAPP(hAPP(c_COMBB(_u16984, tc_fun(_u16985, tc_prod(_u16984, _u16985)), _u16986), c_Product__Type_OPair(_u16984, _u16985)), _u16987))), _u16990))), hAPP(hAPP(c_List_Ozip(_u16986, _u16989), _u16988), _u16991))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_map__tl ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_map__tl-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16992, _u16993), _u16994), hAPP(c_List_Otl(_u16992), _u16995)) = hAPP(c_List_Otl(_u16993), hAPP(hAPP(c_List_Omap(_u16992, _u16993), _u16994), _u16995))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_rotate__map ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_rotate__map-1, axiom, ( ( hAPP(c_List_Orotate(_u16996, _u16997), hAPP(hAPP(c_List_Omap(_u16998, _u16996), _u16999), _u17000)) = hAPP(hAPP(c_List_Omap(_u16998, _u16996), _u16999), hAPP(c_List_Orotate(_u16998, _u16997), _u17000))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_foldl__map ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_foldl__map-1, axiom, ( ( hAPP(c_List_Ofoldl(_u17001, _u17002, _u17003, _u17004), hAPP(hAPP(c_List_Omap(_u17005, _u17002), _u17006), _u17007)) = hAPP(c_List_Ofoldl(_u17001, _u17005, hAPP(hAPP(c_COMBC(_u17001, tc_fun(_u17005, _u17002), tc_fun(_u17005, _u17001)), hAPP(hAPP(c_COMBB(tc_fun(_u17002, _u17001), tc_fun(tc_fun(_u17005, _u17002), tc_fun(_u17005, _u17001)), _u17001), c_COMBB(_u17002, _u17001, _u17005)), _u17003)), _u17006), _u17004), _u17007)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_inj__on__map__eq__map ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_inj__on__map__eq__map-1, axiom, ( ~c_Fun_Oinj__on(_u17008, _u17009, _u17010, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17008, tc_HOL_Obool)), hAPP(c_List_Oset(_u17008), _u17011)), hAPP(c_List_Oset(_u17008), _u17012))) | ( hAPP(hAPP(c_List_Omap(_u17008, _u17009), _u17010), _u17011) != hAPP(hAPP(c_List_Omap(_u17008, _u17009), _u17010), _u17012)) | ( _u17011 = _u17012) )).
% 12.54/12.74 cnf(fact_inj__on__map__eq__map-2, axiom, ( ~c_Fun_Oinj__on(_u17008, _u17009, _u17010, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17008, tc_HOL_Obool)), hAPP(c_List_Oset(_u17008), _u17011)), hAPP(c_List_Oset(_u17008), _u17012))) | ( _u17011 != _u17012) | ( hAPP(hAPP(c_List_Omap(_u17008, _u17009), _u17010), _u17011) = hAPP(hAPP(c_List_Omap(_u17008, _u17009), _u17010), _u17012)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_map__inj__on ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_map__inj__on-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17013, _u17014), _u17015), _u17016) != hAPP(hAPP(c_List_Omap(_u17013, _u17014), _u17015), _u17017)) | ~c_Fun_Oinj__on(_u17013, _u17014, _u17015, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17013, tc_HOL_Obool)), hAPP(c_List_Oset(_u17013), _u17016)), hAPP(c_List_Oset(_u17013), _u17017))) | ( _u17016 = _u17017) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_nth__map ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_nth__map-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17018), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17019)), _u17020))) | ( hAPP(hAPP(c_List_Onth(_u17021), hAPP(hAPP(c_List_Omap(_u17019, _u17021), _u17022), _u17020)), _u17018) = hAPP(_u17022, hAPP(hAPP(c_List_Onth(_u17019), _u17020), _u17018))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_map__fun__upd ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_map__fun__upd-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17023), _u17024), hAPP(c_List_Oset(_u17023), _u17025))) | ( hAPP(hAPP(c_List_Omap(_u17023, _u17026), c_Fun_Ofun__upd(_u17023, _u17026, _u17027, _u17024, _u17028)), _u17025) = hAPP(hAPP(c_List_Omap(_u17023, _u17026), _u17027), _u17025)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_distinct__map ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_distinct__map-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17033), hAPP(hAPP(c_List_Omap(_u17035, _u17033), _u17037), _u17039))) | hBOOL(hAPP(c_List_Odistinct(_u17035), _u17039)) )).
% 12.54/12.74 cnf(fact_distinct__map-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17033), hAPP(hAPP(c_List_Omap(_u17035, _u17033), _u17037), _u17039))) | c_Fun_Oinj__on(_u17035, _u17033, _u17037, hAPP(c_List_Oset(_u17035), _u17039)) )).
% 12.54/12.74 cnf(fact_distinct__map-3, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17036), _u17040)) | ~c_Fun_Oinj__on(_u17036, _u17034, _u17038, hAPP(c_List_Oset(_u17036), _u17040)) | hBOOL(hAPP(c_List_Odistinct(_u17034), hAPP(hAPP(c_List_Omap(_u17036, _u17034), _u17038), _u17040))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listsum__abs ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u17041) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17041), hAPP(c_Groups_Oabs__class_Oabs(_u17041), hAPP(c_List_Omonoid__add__class_Olistsum(_u17041), _u17042))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17041), hAPP(hAPP(c_List_Omap(_u17041, _u17041), c_Groups_Oabs__class_Oabs(_u17041)), _u17042)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_uminus__listsum__map ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_uminus__listsum__map-1, axiom, ( ~class_Groups_Oab__group__add(_u17043) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u17043), hAPP(c_List_Omonoid__add__class_Olistsum(_u17043), hAPP(hAPP(c_List_Omap(_u17044, _u17043), _u17045), _u17046))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17043), hAPP(hAPP(c_List_Omap(_u17044, _u17043), hAPP(c_Fun_Ocomp(_u17043, _u17043, _u17044, c_Groups_Ouminus__class_Ouminus(_u17043)), _u17045)), _u17046))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_inj__on__mapI ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_inj__on__mapI-1, axiom, ( ~c_Fun_Oinj__on(_u17047, _u17048, _u17049, c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17047, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_List_Olist(_u17047), tc_fun(_u17047, tc_HOL_Obool), c_List_Oset(_u17047)), _u17050))) | c_Fun_Oinj__on(tc_List_Olist(_u17047), tc_List_Olist(_u17048), hAPP(c_List_Omap(_u17047, _u17048), _u17049), _u17050) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_inj__mapD ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_inj__mapD-1, axiom, ( ~c_Fun_Oinj__on(tc_List_Olist(_u17051), tc_List_Olist(_u17052), hAPP(c_List_Omap(_u17051, _u17052), _u17053), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17051), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17051, _u17052, _u17053, c_Orderings_Otop__class_Otop(tc_fun(_u17051, tc_HOL_Obool))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_inj__map ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_inj__map-1, axiom, ( ~c_Fun_Oinj__on(tc_List_Olist(_u17057), tc_List_Olist(_u17059), hAPP(c_List_Omap(_u17057, _u17059), _u17061), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17057), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17057, _u17059, _u17061, c_Orderings_Otop__class_Otop(tc_fun(_u17057, tc_HOL_Obool))) )).
% 12.54/12.74 cnf(fact_inj__map-2, axiom, ( ~c_Fun_Oinj__on(_u17058, _u17060, _u17062, c_Orderings_Otop__class_Otop(tc_fun(_u17058, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u17058), tc_List_Olist(_u17060), hAPP(c_List_Omap(_u17058, _u17060), _u17062), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17058), tc_HOL_Obool))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listsum__distinct__conv__setsum__set ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listsum__distinct__conv__setsum__set-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17063) | ~hBOOL(hAPP(c_List_Odistinct(_u17064), _u17065)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17063), hAPP(hAPP(c_List_Omap(_u17064, _u17063), _u17066), _u17065)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u17064, _u17063), _u17066), hAPP(c_List_Oset(_u17064), _u17065))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listsum__triv ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listsum__triv-1, axiom, ( ~class_Rings_Osemiring__1(_u17067) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17067), hAPP(hAPP(c_List_Omap(_u17068, _u17067), hAPP(c_COMBK(_u17067, _u17068), _u17069)), _u17070)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u17067), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u17067), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17068)), _u17070))), _u17069)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listsum__map__remove1 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listsum__map__remove1-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17071) | ~hBOOL(hAPP(hAPP(c_member(_u17072), _u17073), hAPP(c_List_Oset(_u17072), _u17074))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17071), hAPP(hAPP(c_List_Omap(_u17072, _u17071), _u17075), _u17074)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17071), hAPP(_u17075, _u17073)), hAPP(c_List_Omonoid__add__class_Olistsum(_u17071), hAPP(hAPP(c_List_Omap(_u17072, _u17071), _u17075), c_List_Oremove1(_u17072, _u17073, _u17074))))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_Nitpick_Osetsum_H__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_Nitpick_Osetsum_H__def-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17076) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17077), _u17078)) | ( c_Nitpick_Osetsum_H(_u17077, _u17076, _u17079, _u17078) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17076), hAPP(hAPP(c_List_Omap(_u17077, _u17076), _u17079), c_Hilbert__Choice_OEps(tc_List_Olist(_u17077), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17077), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17077)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17077), tc_fun(_u17077, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u17077, tc_HOL_Obool), tc_fun(tc_fun(_u17077, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u17077)), c_fequal), c_List_Oset(_u17077))), _u17078))), c_List_Odistinct(_u17077)))))) )).
% 12.54/12.74 cnf(fact_Nitpick_Osetsum_H__def-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17076) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u17077), _u17078)) | ( c_Nitpick_Osetsum_H(_u17077, _u17076, _u17079, _u17078) = c_Groups_Ozero__class_Ozero(_u17076)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_pick__same ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_pick__same-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17080), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17081)), _u17082))) | ( hAPP(c_Random_Opick(_u17081, hAPP(hAPP(c_List_Omap(_u17081, tc_prod(tc_Code__Numeral_Ocode__numeral, _u17081)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u17081), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u17082)), hAPP(c_Code__Numeral_Oof__nat, _u17080)) = hAPP(hAPP(c_List_Onth(_u17081), _u17082), _u17080)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_Code__Numeral_Oof__nat__code ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_Code__Numeral_Oof__nat__code-1, axiom, ( ( c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_times__code__numeral__code ( axiom ) converted to clauses:
% 12.54/12.74 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, _u17083)), hAPP(c_Code__Numeral_Oof__nat, _u17084)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17083), _u17084))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_Code__Numeral_Oof__nat__inject ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_Code__Numeral_Oof__nat__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, _u17087) != hAPP(c_Code__Numeral_Oof__nat, _u17089)) | ( _u17087 = _u17089) )).
% 12.54/12.74 cnf(fact_Code__Numeral_Oof__nat__inject-2, axiom, ( ( _u17088 != _u17090) | ( hAPP(c_Code__Numeral_Oof__nat, _u17088) = hAPP(c_Code__Numeral_Oof__nat, _u17090)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_zero__code__numeral__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_zero__code__numeral__def-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_one__code__numeral__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_one__code__numeral__def-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat, c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_less__code__numeral__code ( axiom ) converted to clauses:
% 12.54/12.74 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, _u17093)), hAPP(c_Code__Numeral_Oof__nat, _u17095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17093), _u17095)) )).
% 12.54/12.74 cnf(fact_less__code__numeral__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17094), _u17096)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17094)), hAPP(c_Code__Numeral_Oof__nat, _u17096))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_code__numeral_Oof__nat__inject ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_code__numeral_Oof__nat__inject-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17097), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17098), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( hAPP(c_Code__Numeral_Oof__nat, _u17097) != hAPP(c_Code__Numeral_Oof__nat, _u17098)) | ( _u17097 = _u17098) )).
% 12.54/12.74 cnf(fact_code__numeral_Oof__nat__inject-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17097), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17098), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u17097 != _u17098) | ( hAPP(c_Code__Numeral_Oof__nat, _u17097) = hAPP(c_Code__Numeral_Oof__nat, _u17098)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_map__fst__zip ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_map__fst__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17099)), _u17100) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17101)), _u17102)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17099, _u17101), _u17099), c_Product__Type_Ofst(_u17099, _u17101)), hAPP(hAPP(c_List_Ozip(_u17099, _u17101), _u17100), _u17102)) = _u17100) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_map__snd__zip ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_map__snd__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17103)), _u17104) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17105)), _u17106)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17103, _u17105), _u17105), c_Product__Type_Osnd(_u17103, _u17105)), hAPP(hAPP(c_List_Ozip(_u17103, _u17105), _u17104), _u17106)) = _u17106) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_number__of__code__numeral__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_number__of__code__numeral__def-1, axiom, ( ( c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Fun_Ocomp(tc_Nat_Onat, tc_Code__Numeral_Ocode__numeral, tc_Int_Oint, c_Code__Numeral_Oof__nat), c_Int_Onat)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_zip__map__fst__snd ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_zip__map__fst__snd-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17107, _u17108), hAPP(hAPP(c_List_Omap(tc_prod(_u17107, _u17108), _u17107), c_Product__Type_Ofst(_u17107, _u17108)), _u17109)), hAPP(hAPP(c_List_Omap(tc_prod(_u17107, _u17108), _u17108), c_Product__Type_Osnd(_u17107, _u17108)), _u17109)) = _u17109) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_plus__code__numeral__code ( axiom ) converted to clauses:
% 12.54/12.74 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, _u17110)), hAPP(c_Code__Numeral_Oof__nat, _u17111)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17110), _u17111))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_less__eq__code__numeral__code ( axiom ) converted to clauses:
% 12.54/12.74 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, _u17114)), hAPP(c_Code__Numeral_Oof__nat, _u17116))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17114), _u17116)) )).
% 12.54/12.74 cnf(fact_less__eq__code__numeral__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17115), _u17117)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17115)), hAPP(c_Code__Numeral_Oof__nat, _u17117))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_subtract__code__numeral__code ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_subtract__code__numeral__code-1, axiom, ( ( hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, hAPP(c_Code__Numeral_Oof__nat, _u17118)), hAPP(c_Code__Numeral_Oof__nat, _u17119)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17118), _u17119))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_pick__member ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_pick__member-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17120), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17121), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u17121)), _u17122)))) | hBOOL(hAPP(hAPP(c_member(_u17121), hAPP(c_Random_Opick(_u17121, _u17122), _u17120)), hAPP(c_List_Oset(_u17121), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17121), _u17121), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u17121)), _u17122)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_zip__eq__conv ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_zip__eq__conv-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17123)), _u17124) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17125)), _u17126)) | ( hAPP(hAPP(c_List_Ozip(_u17123, _u17125), _u17124), _u17126) != _u17127) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17123, _u17125), _u17123), c_Product__Type_Ofst(_u17123, _u17125)), _u17127) = _u17124) )).
% 12.54/12.74 cnf(fact_zip__eq__conv-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17123)), _u17124) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17125)), _u17126)) | ( hAPP(hAPP(c_List_Ozip(_u17123, _u17125), _u17124), _u17126) != _u17127) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17123, _u17125), _u17125), c_Product__Type_Osnd(_u17123, _u17125)), _u17127) = _u17126) )).
% 12.54/12.74 cnf(fact_zip__eq__conv-3, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17123)), _u17124) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17125)), _u17126)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17123, _u17125), _u17123), c_Product__Type_Ofst(_u17123, _u17125)), _u17127) != _u17124) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17123, _u17125), _u17125), c_Product__Type_Osnd(_u17123, _u17125)), _u17127) != _u17126) | ( hAPP(hAPP(c_List_Ozip(_u17123, _u17125), _u17124), _u17126) = _u17127) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__size__conv__listsum ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__size__conv__listsum-1, axiom, ( ( c_List_Olist_Olist__size(_u17128, _u17129, _u17130) = 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(_u17128, tc_Nat_Onat), _u17129), _u17130))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17128)), _u17130))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_code__numeral__not__eq__zero ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_code__numeral__not__eq__zero-1, axiom, ( ( _u17132 = 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)), _u17132)) )).
% 12.54/12.74 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)), _u17133)) | ( _u17133 != hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_interv__listsum__conv__setsum__set__int ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_interv__listsum__conv__setsum__set__int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17134) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17134), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u17134), _u17135), c_List_Oupto(_u17136, _u17137))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u17134), _u17135), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17136, _u17137)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_setsum__set__upto__conv__listsum__int ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_setsum__set__upto__conv__listsum__int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17138) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u17138), _u17139), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17140, _u17141))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17138), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u17138), _u17139), c_List_Oupto(_u17140, _u17141)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_select__weight__member ( axiom ) converted to clauses:
% 12.54/12.74 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, _u17142), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u17142)), _u17143)))) | hBOOL(hAPP(hAPP(c_member(_u17142), hAPP(c_Product__Type_Ofst(_u17142, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect__weight(_u17142, _u17143), _u17144))), hAPP(c_List_Oset(_u17142), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17142), _u17142), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u17142)), _u17143)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_select__weight__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_select__weight__def-1, axiom, ( ( c_Random_Oselect__weight(_u17145, _u17146) = 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(_u17145, 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, _u17145), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u17145)), _u17146)))), hAPP(hAPP(c_COMBB(_u17145, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u17145, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u17145, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random_Opick(_u17145, _u17146)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_select__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_select__def-1, axiom, ( ( c_Random_Oselect(_u17147, _u17148) = 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(_u17147, 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(_u17147)), _u17148)))), hAPP(hAPP(c_COMBB(_u17147, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u17147, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u17147, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u17147, tc_Code__Numeral_Ocode__numeral), hAPP(c_List_Onth(_u17147), _u17148)), c_Code__Numeral_Onat__of)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listsum__mono ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listsum__mono-1, axiom, ( ~class_Groups_Omonoid__add(_u17150) | ~class_Groups_Oordered__ab__semigroup__add(_u17150) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17150), hAPP(c_List_Omonoid__add__class_Olistsum(_u17150), hAPP(hAPP(c_List_Omap(_u17151, _u17150), _u17153), _u17152))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17150), hAPP(hAPP(c_List_Omap(_u17151, _u17150), _u17154), _u17152)))) | hBOOL(hAPP(hAPP(c_member(_u17151), skolem450(_u17154, _u17153, _u17152, _u17151, _u17150)), hAPP(c_List_Oset(_u17151), _u17152))) )).
% 12.54/12.74 cnf(fact_listsum__mono-2, axiom, ( ~class_Groups_Omonoid__add(_u17150) | ~class_Groups_Oordered__ab__semigroup__add(_u17150) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17150), hAPP(c_List_Omonoid__add__class_Olistsum(_u17150), hAPP(hAPP(c_List_Omap(_u17151, _u17150), _u17153), _u17152))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17150), hAPP(hAPP(c_List_Omap(_u17151, _u17150), _u17154), _u17152)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17150), hAPP(_u17153, skolem450(_u17154, _u17153, _u17152, _u17151, _u17150))), hAPP(_u17154, skolem450(_u17154, _u17153, _u17152, _u17151, _u17150)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_times__code__numeral__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_times__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), _u17155), _u17156) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17155)), hAPP(c_Code__Numeral_Onat__of, _u17156)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_nat__of__of__nat ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_nat__of__of__nat-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Code__Numeral_Oof__nat, _u17157)) = _u17157) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_of__nat__nat__of ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_of__nat__nat__of-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u17158)) = _u17158) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_nat__of__inverse ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_nat__of__inverse-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u17159)) = _u17159) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_code__numeral_Onat__of__inject ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_code__numeral_Onat__of__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u17162) != hAPP(c_Code__Numeral_Onat__of, _u17164)) | ( _u17162 = _u17164) )).
% 12.54/12.74 cnf(fact_code__numeral_Onat__of__inject-2, axiom, ( ( _u17163 != _u17165) | ( hAPP(c_Code__Numeral_Onat__of, _u17163) = hAPP(c_Code__Numeral_Onat__of, _u17165)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_Code__Numeral_Onat__of__inject ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_Code__Numeral_Onat__of__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u17168) != hAPP(c_Code__Numeral_Onat__of, _u17170)) | ( _u17168 = _u17170) )).
% 12.54/12.74 cnf(fact_Code__Numeral_Onat__of__inject-2, axiom, ( ( _u17169 != _u17171) | ( hAPP(c_Code__Numeral_Onat__of, _u17169) = hAPP(c_Code__Numeral_Onat__of, _u17171)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_type__definition__code__numeral ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_type__definition__code__numeral-1, axiom, ( c_Typedef_Otype__definition(tc_Code__Numeral_Ocode__numeral, tc_Nat_Onat, c_Code__Numeral_Onat__of, c_Code__Numeral_Oof__nat, c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_less__code__numeral__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_less__code__numeral__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17174), _u17176)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17174)), hAPP(c_Code__Numeral_Onat__of, _u17176))) )).
% 12.54/12.74 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, _u17175)), hAPP(c_Code__Numeral_Onat__of, _u17177))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17175), _u17177)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_nat__of ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_nat__of-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17178)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_nat__of__number ( axiom ) converted to clauses:
% 12.54/12.74 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), _u17179)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17179)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_int__of__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_int__of__def-1, axiom, ( ( c_Code__Numeral_Oint__of = hAPP(c_Fun_Ocomp(tc_Nat_Onat, tc_Int_Oint, tc_Code__Numeral_Ocode__numeral, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), c_Code__Numeral_Onat__of)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_less__eq__code__numeral__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_less__eq__code__numeral__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u17182), _u17184)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17182)), hAPP(c_Code__Numeral_Onat__of, _u17184))) )).
% 12.54/12.74 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, _u17183)), hAPP(c_Code__Numeral_Onat__of, _u17185))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u17183), _u17185)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_nat__of__code ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_nat__of__code-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u17186) = c_Code__Numeral_Onat__of__aux(_u17186, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_nat__of__aux__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_nat__of__aux__def-1, axiom, ( ( c_Code__Numeral_Onat__of__aux(_u17187, _u17188) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17187)), _u17188)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_Suc__code__numeral__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_Suc__code__numeral__def-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u17189) = hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Nat_OSuc, hAPP(c_Code__Numeral_Onat__of, _u17189)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_minus__code__numeral__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_minus__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u17190), _u17191) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17190)), hAPP(c_Code__Numeral_Onat__of, _u17191)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_of__nat__inverse ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_of__nat__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17192), 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, _u17192)) = _u17192) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_plus__code__numeral__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_plus__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u17193), _u17194) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17193)), hAPP(c_Code__Numeral_Onat__of, _u17194)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_div__code__numeral__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_div__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u17195), _u17196) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17195)), hAPP(c_Code__Numeral_Onat__of, _u17196)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_mod__code__numeral__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_mod__code__numeral__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u17197, _u17198) = hAPP(c_Code__Numeral_Oof__nat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Code__Numeral_Onat__of, _u17197), hAPP(c_Code__Numeral_Onat__of, _u17198)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_code__numeral__decr ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_code__numeral__decr-1, axiom, ( ( _u17199 = 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, _u17199)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_Code__Numeral_Onat__of, _u17199))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_New__DSequence_Opos__not__seq__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_New__DSequence_Opos__not__seq__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__not__seq(_u17200), _u17201) = c_Lazy__Sequence_Ohb__not__seq(hAPP(_u17200, 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)))), _u17201)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_partition__set ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_partition__set-1, axiom, ( ( c_List_Opartition(_u17202, _u17203, _u17204) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17202), tc_List_Olist(_u17202)), _u17205), _u17206)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17202, tc_HOL_Obool)), hAPP(c_List_Oset(_u17202), _u17205)), hAPP(c_List_Oset(_u17202), _u17206)) = hAPP(c_List_Oset(_u17202), _u17204)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_partition__P ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_partition__P-1, axiom, ( ( c_List_Opartition(_u17209, _u17210, _u17211) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17209), tc_List_Olist(_u17209)), _u17212), _u17213)) | ~hBOOL(hAPP(hAPP(c_member(_u17209), _u17207), hAPP(c_List_Oset(_u17209), _u17212))) | hBOOL(hAPP(_u17210, _u17207)) )).
% 12.54/12.74 cnf(fact_partition__P-2, axiom, ( ( c_List_Opartition(_u17209, _u17210, _u17211) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17209), tc_List_Olist(_u17209)), _u17212), _u17213)) | ~hBOOL(hAPP(hAPP(c_member(_u17209), _u17208), hAPP(c_List_Oset(_u17209), _u17213))) | ~hBOOL(hAPP(_u17210, _u17208)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_partition_Osimps_I1_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_partition_Osimps_I1_J-1, axiom, ( ( c_List_Opartition(_u17214, _u17215, c_List_Olist_ONil(_u17214)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17214), tc_List_Olist(_u17214)), c_List_Olist_ONil(_u17214)), c_List_Olist_ONil(_u17214))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_partition_Osimps_I2_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_partition_Osimps_I2_J-1, axiom, ( ( c_List_Opartition(_u17216, _u17217, hAPP(hAPP(c_List_Olist_OCons(_u17216), _u17218), _u17219)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17216), tc_List_Olist(_u17216), tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17216), tc_fun(tc_List_Olist(_u17216), tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216))), tc_fun(tc_List_Olist(_u17216), tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17216), tc_fun(tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216)), tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216)))), tc_fun(tc_fun(tc_List_Olist(_u17216), tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216))), tc_fun(tc_List_Olist(_u17216), tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216)))), tc_List_Olist(_u17216)), c_COMBS(tc_List_Olist(_u17216), tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216)), tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17216), tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216))), tc_fun(tc_List_Olist(_u17216), tc_fun(tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216)), tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216)))), tc_List_Olist(_u17216)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216)), tc_fun(tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216)), tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216))), tc_List_Olist(_u17216)), hAPP(c_If(tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216))), hAPP(_u17217, _u17218)))), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17216), tc_fun(tc_List_Olist(_u17216), tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216))), tc_List_Olist(_u17216)), c_Product__Type_OPair(tc_List_Olist(_u17216), tc_List_Olist(_u17216))), hAPP(c_List_Olist_OCons(_u17216), _u17218))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17216), tc_fun(tc_List_Olist(_u17216), tc_List_Olist(_u17216)), tc_fun(tc_List_Olist(_u17216), tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17216), tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216))), tc_fun(tc_fun(tc_List_Olist(_u17216), tc_List_Olist(_u17216)), tc_fun(tc_List_Olist(_u17216), tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216)))), tc_List_Olist(_u17216)), c_COMBB(tc_List_Olist(_u17216), tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216)), tc_List_Olist(_u17216))), c_Product__Type_OPair(tc_List_Olist(_u17216), tc_List_Olist(_u17216)))), hAPP(c_List_Olist_OCons(_u17216), _u17218)))), c_List_Opartition(_u17216, _u17217, _u17219))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_lists__Int__eq ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_lists__Int__eq-1, axiom, ( ( c_List_Olistsp(_u17220, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17220, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u17220, tc_fun(_u17220, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17220)), _u17221)), hAPP(hAPP(c_COMBC(_u17220, tc_fun(_u17220, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17220)), _u17222))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u17220), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17220), tc_fun(tc_List_Olist(_u17220), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u17220))), c_List_Olists(_u17220, _u17221))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17220), tc_fun(tc_List_Olist(_u17220), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u17220))), c_List_Olists(_u17220, _u17222)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_lists__IntI ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_lists__IntI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17223)), _u17224), c_List_Olists(_u17223, _u17225))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17223)), _u17224), c_List_Olists(_u17223, _u17226))) | hBOOL(hAPP(c_List_Olistsp(_u17223, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17223, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u17223, tc_fun(_u17223, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17223)), _u17225)), hAPP(hAPP(c_COMBC(_u17223, tc_fun(_u17223, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17223)), _u17226))), _u17224)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listsp_ONil ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listsp_ONil-1, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u17227, _u17228), c_List_Olist_ONil(_u17227))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_append__in__listsp__conv ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_append__in__listsp__conv-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17233, _u17235), hAPP(hAPP(c_List_Oappend(_u17233), _u17237), _u17239))) | hBOOL(hAPP(c_List_Olistsp(_u17233, _u17235), _u17237)) )).
% 12.54/12.74 cnf(fact_append__in__listsp__conv-2, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17233, _u17235), hAPP(hAPP(c_List_Oappend(_u17233), _u17237), _u17239))) | hBOOL(hAPP(c_List_Olistsp(_u17233, _u17235), _u17239)) )).
% 12.54/12.74 cnf(fact_append__in__listsp__conv-3, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17234, _u17236), _u17238)) | ~hBOOL(hAPP(c_List_Olistsp(_u17234, _u17236), _u17240)) | hBOOL(hAPP(c_List_Olistsp(_u17234, _u17236), hAPP(hAPP(c_List_Oappend(_u17234), _u17238), _u17240))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listsp_Oequations_I2_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listsp_Oequations_I2_J-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17245, _u17247), hAPP(hAPP(c_List_Olist_OCons(_u17245), _u17249), _u17251))) | hBOOL(hAPP(_u17247, _u17249)) )).
% 12.54/12.74 cnf(fact_listsp_Oequations_I2_J-2, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17245, _u17247), hAPP(hAPP(c_List_Olist_OCons(_u17245), _u17249), _u17251))) | hBOOL(hAPP(c_List_Olistsp(_u17245, _u17247), _u17251)) )).
% 12.54/12.74 cnf(fact_listsp_Oequations_I2_J-3, axiom, ( ~hBOOL(hAPP(_u17248, _u17250)) | ~hBOOL(hAPP(c_List_Olistsp(_u17246, _u17248), _u17252)) | hBOOL(hAPP(c_List_Olistsp(_u17246, _u17248), hAPP(hAPP(c_List_Olist_OCons(_u17246), _u17250), _u17252))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listsp__infI ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listsp__infI-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17253, _u17254), _u17255)) | ~hBOOL(hAPP(c_List_Olistsp(_u17253, _u17256), _u17255)) | hBOOL(hAPP(c_List_Olistsp(_u17253, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17253, tc_HOL_Obool)), _u17254), _u17256)), _u17255)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listsp__inf__eq ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listsp__inf__eq-1, axiom, ( ( c_List_Olistsp(_u17257, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17257, tc_HOL_Obool)), _u17258), _u17259)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u17257), tc_HOL_Obool)), c_List_Olistsp(_u17257, _u17258)), c_List_Olistsp(_u17257, _u17259))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listsp__conj__eq ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listsp__conj__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17264, hAPP(hAPP(c_COMBS(_u17264, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17264), c_fconj), _u17266)), _u17268)), _u17270)) | hBOOL(hAPP(c_List_Olistsp(_u17264, _u17266), _u17270)) )).
% 12.54/12.74 cnf(fact_listsp__conj__eq-2, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17264, hAPP(hAPP(c_COMBS(_u17264, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17264), c_fconj), _u17266)), _u17268)), _u17270)) | hBOOL(hAPP(c_List_Olistsp(_u17264, _u17268), _u17270)) )).
% 12.54/12.74 cnf(fact_listsp__conj__eq-3, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17265, _u17267), _u17271)) | ~hBOOL(hAPP(c_List_Olistsp(_u17265, _u17269), _u17271)) | hBOOL(hAPP(c_List_Olistsp(_u17265, hAPP(hAPP(c_COMBS(_u17265, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17265), c_fconj), _u17267)), _u17269)), _u17271)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_in__listsp__conv__set ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_in__listsp__conv__set-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17277, _u17279), _u17281)) | ~hBOOL(hAPP(hAPP(c_member(_u17277), _u17272), hAPP(c_List_Oset(_u17277), _u17281))) | hBOOL(hAPP(_u17279, _u17272)) )).
% 12.54/12.74 cnf(fact_in__listsp__conv__set-2, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u17278, _u17280), _u17282)) | hBOOL(hAPP(hAPP(c_member(_u17278), skolem451(_u17282, _u17280, _u17278)), hAPP(c_List_Oset(_u17278), _u17282))) )).
% 12.54/12.74 cnf(fact_in__listsp__conv__set-3, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u17278, _u17280), _u17282)) | ~hBOOL(hAPP(_u17280, skolem451(_u17282, _u17280, _u17278))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listsp_Oequations_I1_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listsp_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u17283, _u17284), c_List_Olist_ONil(_u17283))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listsp__mono ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listsp__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17285, tc_HOL_Obool)), _u17286), _u17287)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u17285), tc_HOL_Obool)), c_List_Olistsp(_u17285, _u17286)), c_List_Olistsp(_u17285, _u17287))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_listsp__lists__eq ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_listsp__lists__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17291, hAPP(hAPP(c_COMBC(_u17291, tc_fun(_u17291, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17291)), _u17293)), _u17295)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17291)), _u17295), c_List_Olists(_u17291, _u17293))) )).
% 12.54/12.74 cnf(fact_listsp__lists__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17292)), _u17296), c_List_Olists(_u17292, _u17294))) | hBOOL(hAPP(c_List_Olistsp(_u17292, hAPP(hAPP(c_COMBC(_u17292, tc_fun(_u17292, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17292)), _u17294)), _u17296)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_product_Osimps_I2_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_product_Osimps_I2_J-1, axiom, ( ( c_Enum_Oproduct(_u17297, _u17298, hAPP(hAPP(c_List_Olist_OCons(_u17297), _u17299), _u17300), _u17301) = hAPP(hAPP(c_List_Oappend(tc_prod(_u17297, _u17298)), hAPP(hAPP(c_List_Omap(_u17298, tc_prod(_u17297, _u17298)), hAPP(c_Product__Type_OPair(_u17297, _u17298), _u17299)), _u17301)), c_Enum_Oproduct(_u17297, _u17298, _u17300, _u17301))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__all2__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__all2__def-1, axiom, ( ~c_List_Olist__all2(_u17309, _u17311, _u17313, _u17315, _u17317) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17309)), _u17315) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17311)), _u17317)) )).
% 12.54/12.74 cnf(fact_list__all2__def-2, axiom, ( ~c_List_Olist__all2(_u17309, _u17311, _u17313, _u17315, _u17317) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17309, _u17311)), _u17302), hAPP(c_List_Oset(tc_prod(_u17309, _u17311)), hAPP(hAPP(c_List_Ozip(_u17309, _u17311), _u17315), _u17317)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17309, _u17311, tc_HOL_Obool), _u17313), _u17302)) )).
% 12.54/12.74 cnf(fact_list__all2__def-3, axiom, ( c_List_Olist__all2(_u17310, _u17312, _u17314, _u17316, _u17318) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17310)), _u17316) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17312)), _u17318)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17310, _u17312)), skolem452(_u17318, _u17316, _u17314, _u17312, _u17310)), hAPP(c_List_Oset(tc_prod(_u17310, _u17312)), hAPP(hAPP(c_List_Ozip(_u17310, _u17312), _u17316), _u17318)))) )).
% 12.54/12.74 cnf(fact_list__all2__def-4, axiom, ( c_List_Olist__all2(_u17310, _u17312, _u17314, _u17316, _u17318) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17310)), _u17316) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17312)), _u17318)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17310, _u17312, tc_HOL_Obool), _u17314), skolem452(_u17318, _u17316, _u17314, _u17312, _u17310))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__all2__map1 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__all2__map1-1, axiom, ( ~c_List_Olist__all2(_u17326, _u17328, _u17330, hAPP(hAPP(c_List_Omap(_u17332, _u17326), _u17334), _u17336), _u17338) | c_List_Olist__all2(_u17332, _u17328, hAPP(hAPP(c_COMBB(_u17326, tc_fun(_u17328, tc_HOL_Obool), _u17332), _u17330), _u17334), _u17336, _u17338) )).
% 12.54/12.74 cnf(fact_list__all2__map1-2, axiom, ( ~c_List_Olist__all2(_u17333, _u17329, hAPP(hAPP(c_COMBB(_u17327, tc_fun(_u17329, tc_HOL_Obool), _u17333), _u17331), _u17335), _u17337, _u17339) | c_List_Olist__all2(_u17327, _u17329, _u17331, hAPP(hAPP(c_List_Omap(_u17333, _u17327), _u17335), _u17337), _u17339) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__all2__map2 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__all2__map2-1, axiom, ( ~c_List_Olist__all2(_u17347, _u17349, _u17351, _u17353, hAPP(hAPP(c_List_Omap(_u17355, _u17349), _u17357), _u17359)) | c_List_Olist__all2(_u17347, _u17355, hAPP(hAPP(c_COMBC(_u17347, tc_fun(_u17355, _u17349), tc_fun(_u17355, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17349, tc_HOL_Obool), tc_fun(tc_fun(_u17355, _u17349), tc_fun(_u17355, tc_HOL_Obool)), _u17347), c_COMBB(_u17349, tc_HOL_Obool, _u17355)), _u17351)), _u17357), _u17353, _u17359) )).
% 12.54/12.74 cnf(fact_list__all2__map2-2, axiom, ( ~c_List_Olist__all2(_u17348, _u17356, hAPP(hAPP(c_COMBC(_u17348, tc_fun(_u17356, _u17350), tc_fun(_u17356, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17350, tc_HOL_Obool), tc_fun(tc_fun(_u17356, _u17350), tc_fun(_u17356, tc_HOL_Obool)), _u17348), c_COMBB(_u17350, tc_HOL_Obool, _u17356)), _u17352)), _u17358), _u17354, _u17360) | c_List_Olist__all2(_u17348, _u17350, _u17352, _u17354, hAPP(hAPP(c_List_Omap(_u17356, _u17350), _u17358), _u17360)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__all2__Nil2 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__all2__Nil2-1, axiom, ( ~c_List_Olist__all2(_u17365, _u17367, _u17369, _u17371, c_List_Olist_ONil(_u17367)) | ( _u17371 = c_List_Olist_ONil(_u17365)) )).
% 12.54/12.74 cnf(fact_list__all2__Nil2-2, axiom, ( ( _u17372 != c_List_Olist_ONil(_u17366)) | c_List_Olist__all2(_u17366, _u17368, _u17370, _u17372, c_List_Olist_ONil(_u17368)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__all2__Nil ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__all2__Nil-1, axiom, ( ( _u17383 = c_List_Olist_ONil(_u17379)) | ~c_List_Olist__all2(_u17377, _u17379, _u17381, c_List_Olist_ONil(_u17377), _u17383) )).
% 12.54/12.74 cnf(fact_list__all2__Nil-2, axiom, ( ( _u17384 != c_List_Olist_ONil(_u17380)) | c_List_Olist__all2(_u17378, _u17380, _u17382, c_List_Olist_ONil(_u17378), _u17384) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__all2__lengthD ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__all2__lengthD-1, axiom, ( ~c_List_Olist__all2(_u17385, _u17386, _u17387, _u17388, _u17389) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17385)), _u17388) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17386)), _u17389)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__all2__eq ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__all2__eq-1, axiom, ( ( _u17393 != _u17395) | c_List_Olist__all2(_u17397, _u17397, c_fequal, _u17393, _u17395) )).
% 12.54/12.74 cnf(fact_list__all2__eq-2, axiom, ( ~c_List_Olist__all2(_u17398, _u17398, c_fequal, _u17394, _u17396) | ( _u17394 = _u17396) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__all2__takeI ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__all2__takeI-1, axiom, ( ~c_List_Olist__all2(_u17399, _u17400, _u17401, _u17402, _u17403) | c_List_Olist__all2(_u17399, _u17400, _u17401, hAPP(hAPP(c_List_Otake(_u17399), _u17404), _u17402), hAPP(hAPP(c_List_Otake(_u17400), _u17404), _u17403)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__all2__Cons ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__all2__Cons-1, axiom, ( ~c_List_Olist__all2(_u17412, _u17414, _u17416, hAPP(hAPP(c_List_Olist_OCons(_u17412), _u17418), _u17420), hAPP(hAPP(c_List_Olist_OCons(_u17414), _u17422), _u17424)) | hBOOL(hAPP(hAPP(_u17416, _u17418), _u17422)) )).
% 12.54/12.74 cnf(fact_list__all2__Cons-2, axiom, ( ~c_List_Olist__all2(_u17412, _u17414, _u17416, hAPP(hAPP(c_List_Olist_OCons(_u17412), _u17418), _u17420), hAPP(hAPP(c_List_Olist_OCons(_u17414), _u17422), _u17424)) | c_List_Olist__all2(_u17412, _u17414, _u17416, _u17420, _u17424) )).
% 12.54/12.74 cnf(fact_list__all2__Cons-3, axiom, ( ~hBOOL(hAPP(hAPP(_u17417, _u17419), _u17423)) | ~c_List_Olist__all2(_u17413, _u17415, _u17417, _u17421, _u17425) | c_List_Olist__all2(_u17413, _u17415, _u17417, hAPP(hAPP(c_List_Olist_OCons(_u17413), _u17419), _u17421), hAPP(hAPP(c_List_Olist_OCons(_u17415), _u17423), _u17425)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__all2__append ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__all2__append-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17426)), _u17427) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17428)), _u17429)) | ~c_List_Olist__all2(_u17426, _u17428, _u17430, hAPP(hAPP(c_List_Oappend(_u17426), _u17427), _u17431), hAPP(hAPP(c_List_Oappend(_u17428), _u17429), _u17432)) | c_List_Olist__all2(_u17426, _u17428, _u17430, _u17427, _u17429) )).
% 12.54/12.74 cnf(fact_list__all2__append-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17426)), _u17427) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17428)), _u17429)) | ~c_List_Olist__all2(_u17426, _u17428, _u17430, hAPP(hAPP(c_List_Oappend(_u17426), _u17427), _u17431), hAPP(hAPP(c_List_Oappend(_u17428), _u17429), _u17432)) | c_List_Olist__all2(_u17426, _u17428, _u17430, _u17431, _u17432) )).
% 12.54/12.74 cnf(fact_list__all2__append-3, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17426)), _u17427) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17428)), _u17429)) | ~c_List_Olist__all2(_u17426, _u17428, _u17430, _u17427, _u17429) | ~c_List_Olist__all2(_u17426, _u17428, _u17430, _u17431, _u17432) | c_List_Olist__all2(_u17426, _u17428, _u17430, hAPP(hAPP(c_List_Oappend(_u17426), _u17427), _u17431), hAPP(hAPP(c_List_Oappend(_u17428), _u17429), _u17432)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__all2__appendI ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__all2__appendI-1, axiom, ( ~c_List_Olist__all2(_u17433, _u17434, _u17435, _u17436, _u17437) | ~c_List_Olist__all2(_u17433, _u17434, _u17435, _u17438, _u17439) | c_List_Olist__all2(_u17433, _u17434, _u17435, hAPP(hAPP(c_List_Oappend(_u17433), _u17436), _u17438), hAPP(hAPP(c_List_Oappend(_u17434), _u17437), _u17439)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__all2__dropI ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__all2__dropI-1, axiom, ( ~c_List_Olist__all2(_u17440, _u17441, _u17442, _u17443, _u17444) | c_List_Olist__all2(_u17440, _u17441, _u17442, hAPP(hAPP(c_List_Odrop(_u17440), _u17445), _u17443), hAPP(hAPP(c_List_Odrop(_u17441), _u17445), _u17444)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_product_Osimps_I1_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_product_Osimps_I1_J-1, axiom, ( ( c_Enum_Oproduct(_u17446, _u17447, c_List_Olist_ONil(_u17446), _u17448) = c_List_Olist_ONil(tc_prod(_u17446, _u17447))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__all2__conv__all__nth ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__all2__conv__all__nth-1, axiom, ( ~c_List_Olist__all2(_u17456, _u17458, _u17460, _u17462, _u17464) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17456)), _u17462) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17458)), _u17464)) )).
% 12.54/12.74 cnf(fact_list__all2__conv__all__nth-2, axiom, ( ~c_List_Olist__all2(_u17456, _u17458, _u17460, _u17462, _u17464) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17449), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17456)), _u17462))) | hBOOL(hAPP(hAPP(_u17460, hAPP(hAPP(c_List_Onth(_u17456), _u17462), _u17449)), hAPP(hAPP(c_List_Onth(_u17458), _u17464), _u17449))) )).
% 12.54/12.74 cnf(fact_list__all2__conv__all__nth-3, axiom, ( c_List_Olist__all2(_u17457, _u17459, _u17461, _u17463, _u17465) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17457)), _u17463) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17459)), _u17465)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem453(_u17465, _u17463, _u17461, _u17459, _u17457)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17457)), _u17463))) )).
% 12.54/12.74 cnf(fact_list__all2__conv__all__nth-4, axiom, ( c_List_Olist__all2(_u17457, _u17459, _u17461, _u17463, _u17465) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17457)), _u17463) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17459)), _u17465)) | ~hBOOL(hAPP(hAPP(_u17461, hAPP(hAPP(c_List_Onth(_u17457), _u17463), skolem453(_u17465, _u17463, _u17461, _u17459, _u17457))), hAPP(hAPP(c_List_Onth(_u17459), _u17465), skolem453(_u17465, _u17463, _u17461, _u17459, _u17457)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__all2__nthD ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__all2__nthD-1, axiom, ( ~c_List_Olist__all2(_u17466, _u17467, _u17468, _u17469, _u17470) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17471), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17466)), _u17469))) | hBOOL(hAPP(hAPP(_u17468, hAPP(hAPP(c_List_Onth(_u17466), _u17469), _u17471)), hAPP(hAPP(c_List_Onth(_u17467), _u17470), _u17471))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__all2__nthD2 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__all2__nthD2-1, axiom, ( ~c_List_Olist__all2(_u17472, _u17473, _u17474, _u17475, _u17476) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17477), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17473)), _u17476))) | hBOOL(hAPP(hAPP(_u17474, hAPP(hAPP(c_List_Onth(_u17472), _u17475), _u17477)), hAPP(hAPP(c_List_Onth(_u17473), _u17476), _u17477))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__all2__update__cong ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__all2__update__cong-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17478), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17479)), _u17480))) | ~c_List_Olist__all2(_u17479, _u17481, _u17482, _u17480, _u17483) | ~hBOOL(hAPP(hAPP(_u17482, _u17484), _u17485)) | c_List_Olist__all2(_u17479, _u17481, _u17482, hAPP(hAPP(c_List_Olist__update(_u17479, _u17480), _u17478), _u17484), hAPP(hAPP(c_List_Olist__update(_u17481, _u17483), _u17478), _u17485)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__all2__update__cong2 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__all2__update__cong2-1, axiom, ( ~c_List_Olist__all2(_u17486, _u17487, _u17488, _u17489, _u17490) | ~hBOOL(hAPP(hAPP(_u17488, _u17491), _u17492)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17493), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17487)), _u17490))) | c_List_Olist__all2(_u17486, _u17487, _u17488, hAPP(hAPP(c_List_Olist__update(_u17486, _u17489), _u17493), _u17491), hAPP(hAPP(c_List_Olist__update(_u17487, _u17490), _u17493), _u17492)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_distinct__product ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_distinct__product-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17494), _u17495)) | ~hBOOL(hAPP(c_List_Odistinct(_u17496), _u17497)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u17494, _u17496)), c_Enum_Oproduct(_u17494, _u17496, _u17495, _u17497))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_product__list__set ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_product__list__set-1, axiom, ( ( hAPP(c_List_Oset(tc_prod(_u17498, _u17499)), c_Enum_Oproduct(_u17498, _u17499, _u17500, _u17501)) = hAPP(hAPP(c_Product__Type_OSigma(_u17498, _u17499), hAPP(c_List_Oset(_u17498), _u17500)), hAPP(c_COMBK(tc_fun(_u17499, tc_HOL_Obool), _u17498), hAPP(c_List_Oset(_u17499), _u17501)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sublists__powset ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_sublists__powset-1, axiom, ( ( hAPP(c_Set_Oimage(tc_List_Olist(_u17502), tc_fun(_u17502, tc_HOL_Obool), c_List_Oset(_u17502)), hAPP(c_List_Oset(tc_List_Olist(_u17502)), c_Enum_Osublists(_u17502, _u17503))) = hAPP(c_Set_OPow(_u17502), hAPP(c_List_Oset(_u17502), _u17503))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_length__sublists ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_length__sublists-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17504))), c_Enum_Osublists(_u17504, _u17505)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17504)), _u17505))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sublists_Osimps_I1_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_sublists_Osimps_I1_J-1, axiom, ( ( c_Enum_Osublists(_u17506, c_List_Olist_ONil(_u17506)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17506)), c_List_Olist_ONil(_u17506)), c_List_Olist_ONil(tc_List_Olist(_u17506)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sublists_Osimps_I2_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_sublists_Osimps_I2_J-1, axiom, ( ( c_Enum_Osublists(_u17507, hAPP(hAPP(c_List_Olist_OCons(_u17507), _u17508), _u17509)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(_u17507)), tc_List_Olist(tc_List_Olist(_u17507))), c_Enum_Osublists(_u17507, _u17509)), hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(_u17507)), tc_List_Olist(tc_List_Olist(_u17507)), tc_List_Olist(tc_List_Olist(_u17507))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(_u17507)), tc_fun(tc_List_Olist(tc_List_Olist(_u17507)), tc_List_Olist(tc_List_Olist(_u17507))), tc_List_Olist(tc_List_Olist(_u17507))), c_List_Oappend(tc_List_Olist(_u17507))), hAPP(c_List_Omap(tc_List_Olist(_u17507), tc_List_Olist(_u17507)), hAPP(c_List_Olist_OCons(_u17507), _u17508)))), c_COMBI(tc_List_Olist(tc_List_Olist(_u17507)))))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_distinct__set__sublists ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_distinct__set__sublists-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17510), _u17511)) | hBOOL(hAPP(c_List_Odistinct(tc_fun(_u17510, tc_HOL_Obool)), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17510), tc_fun(_u17510, tc_HOL_Obool)), c_List_Oset(_u17510)), c_Enum_Osublists(_u17510, _u17511)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__n__lists ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__n__lists-1, axiom, ( ( hAPP(c_List_Oset(tc_List_Olist(_u17512)), c_Enum_On__lists(_u17512, _u17513, _u17514)) = hAPP(c_Set_OCollect(tc_List_Olist(_u17512)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17512), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17512)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17512), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17512)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17512)))), _u17513))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17512), tc_fun(_u17512, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u17512, tc_HOL_Obool), tc_fun(tc_fun(_u17512, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u17512)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u17512, tc_HOL_Obool))), c_List_Oset(_u17512))), hAPP(c_List_Oset(_u17512), _u17514))))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_enum__the__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_enum__the__def-1, axiom, ( ( c_Enum_Oenum__the(_u17515, _u17516) = c_HOL_OThe(_u17515, _u17516)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_distinct__n__lists ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_distinct__n__lists-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17517), _u17518)) | hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u17517)), c_Enum_On__lists(_u17517, _u17519, _u17518))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_n__lists_Osimps_I1_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_n__lists_Osimps_I1_J-1, axiom, ( ( c_Enum_On__lists(_u17520, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u17521) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17520)), c_List_Olist_ONil(_u17520)), c_List_Olist_ONil(tc_List_Olist(_u17520)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_n__lists__Nil ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_n__lists__Nil-1, axiom, ( ( _u17524 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u17526, _u17524, c_List_Olist_ONil(_u17526)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17526)), c_List_Olist_ONil(_u17526)), c_List_Olist_ONil(tc_List_Olist(_u17526)))) )).
% 12.54/12.74 cnf(fact_n__lists__Nil-2, axiom, ( ( _u17525 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u17527, _u17525, c_List_Olist_ONil(_u17527)) = c_List_Olist_ONil(tc_List_Olist(_u17527))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_length__n__lists ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_length__n__lists-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17528))), c_Enum_On__lists(_u17528, _u17529, _u17530)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17528)), _u17530)), _u17529)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_length__n__lists__elem ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_length__n__lists__elem-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17531)), _u17532), hAPP(c_List_Oset(tc_List_Olist(_u17531)), c_Enum_On__lists(_u17531, _u17533, _u17534)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17531)), _u17532) = _u17533) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_list__all2I ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_list__all2I-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17536)), _u17538) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17537)), _u17539)) | c_List_Olist__all2(_u17536, _u17537, _u17540, _u17538, _u17539) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17536, _u17537)), skolem454(_u17540, _u17539, _u17538, _u17537, _u17536)), hAPP(c_List_Oset(tc_prod(_u17536, _u17537)), hAPP(hAPP(c_List_Ozip(_u17536, _u17537), _u17538), _u17539)))) )).
% 12.54/12.74 cnf(fact_list__all2I-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17536)), _u17538) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17537)), _u17539)) | c_List_Olist__all2(_u17536, _u17537, _u17540, _u17538, _u17539) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17536, _u17537, tc_HOL_Obool), _u17540), skolem454(_u17540, _u17539, _u17538, _u17537, _u17536))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_all__nth__imp__all__set ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_all__nth__imp__all__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17542), _u17545), hAPP(c_List_Oset(_u17542), _u17543))) | hBOOL(hAPP(_u17544, _u17545)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem455(_u17545, _u17544, _u17543, _u17542)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17542)), _u17543))) )).
% 12.54/12.74 cnf(fact_all__nth__imp__all__set-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17542), _u17545), hAPP(c_List_Oset(_u17542), _u17543))) | hBOOL(hAPP(_u17544, _u17545)) | ~hBOOL(hAPP(_u17544, hAPP(hAPP(c_List_Onth(_u17542), _u17543), skolem455(_u17545, _u17544, _u17543, _u17542)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_fun__left__comm_Ofold__set__remdups ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_fun__left__comm_Ofold__set__remdups-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u17546, _u17547, _u17548) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u17546, _u17547, _u17548), _u17549), hAPP(c_List_Oset(_u17546), _u17550)) = hAPP(c_List_Ofoldl(_u17547, _u17546, hAPP(c_COMBC(_u17546, _u17547, _u17547), _u17548), _u17549), c_List_Oremdups(_u17546, _u17550))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_map__removeAll__inj__on ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_map__removeAll__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u17551, _u17552, _u17553, hAPP(hAPP(c_Set_Oinsert(_u17551), _u17554), hAPP(c_List_Oset(_u17551), _u17555))) | ( hAPP(hAPP(c_List_Omap(_u17551, _u17552), _u17553), hAPP(c_List_OremoveAll(_u17551, _u17554), _u17555)) = hAPP(c_List_OremoveAll(_u17552, hAPP(_u17553, _u17554)), hAPP(hAPP(c_List_Omap(_u17551, _u17552), _u17553), _u17555))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_distinct__remdups ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_distinct__remdups-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u17556), c_List_Oremdups(_u17556, _u17557))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_length__remdups__leq ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_length__remdups__leq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17558)), c_List_Oremdups(_u17558, _u17559))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17558)), _u17559))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_remdups__id__iff__distinct ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_remdups__id__iff__distinct-1, axiom, ( ( c_List_Oremdups(_u17562, _u17564) != _u17564) | hBOOL(hAPP(c_List_Odistinct(_u17562), _u17564)) )).
% 12.54/12.74 cnf(fact_remdups__id__iff__distinct-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17563), _u17565)) | ( c_List_Oremdups(_u17563, _u17565) = _u17565) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_distinct__removeAll ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_distinct__removeAll-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17566), _u17567)) | hBOOL(hAPP(c_List_Odistinct(_u17566), hAPP(c_List_OremoveAll(_u17566, _u17568), _u17567))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_distinct__remdups__id ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_distinct__remdups__id-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17569), _u17570)) | ( c_List_Oremdups(_u17569, _u17570) = _u17570) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_length__remdups__eq ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_length__remdups__eq-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17573)), c_List_Oremdups(_u17573, _u17575)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17573)), _u17575)) | ( c_List_Oremdups(_u17573, _u17575) = _u17575) )).
% 12.54/12.74 cnf(fact_length__remdups__eq-2, axiom, ( ( c_List_Oremdups(_u17574, _u17576) != _u17576) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17574)), c_List_Oremdups(_u17574, _u17576)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17574)), _u17576)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__remdups ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__remdups-1, axiom, ( ( hAPP(c_List_Oset(_u17577), c_List_Oremdups(_u17577, _u17578)) = hAPP(c_List_Oset(_u17577), _u17578)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_remdups__remdups ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_remdups__remdups-1, axiom, ( ( c_List_Oremdups(_u17579, c_List_Oremdups(_u17579, _u17580)) = c_List_Oremdups(_u17579, _u17580)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_removeAll__append ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_removeAll__append-1, axiom, ( ( hAPP(c_List_OremoveAll(_u17581, _u17582), hAPP(hAPP(c_List_Oappend(_u17581), _u17583), _u17584)) = hAPP(hAPP(c_List_Oappend(_u17581), hAPP(c_List_OremoveAll(_u17581, _u17582), _u17583)), hAPP(c_List_OremoveAll(_u17581, _u17582), _u17584))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_removeAll_Osimps_I2_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_removeAll_Osimps_I2_J-1, axiom, ( ( _u17589 != _u17591) | ( hAPP(c_List_OremoveAll(_u17593, _u17589), hAPP(hAPP(c_List_Olist_OCons(_u17593), _u17591), _u17595)) = hAPP(c_List_OremoveAll(_u17593, _u17589), _u17595)) )).
% 12.54/12.74 cnf(fact_removeAll_Osimps_I2_J-2, axiom, ( ( _u17590 = _u17592) | ( hAPP(c_List_OremoveAll(_u17594, _u17590), hAPP(hAPP(c_List_Olist_OCons(_u17594), _u17592), _u17596)) = hAPP(hAPP(c_List_Olist_OCons(_u17594), _u17592), hAPP(c_List_OremoveAll(_u17594, _u17590), _u17596))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_remdups_Osimps_I1_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_remdups_Osimps_I1_J-1, axiom, ( ( c_List_Oremdups(_u17597, c_List_Olist_ONil(_u17597)) = c_List_Olist_ONil(_u17597)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_remdups__eq__nil__right__iff ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_remdups__eq__nil__right__iff-1, axiom, ( ( c_List_Olist_ONil(_u17600) != c_List_Oremdups(_u17600, _u17602)) | ( _u17602 = c_List_Olist_ONil(_u17600)) )).
% 12.54/12.74 cnf(fact_remdups__eq__nil__right__iff-2, axiom, ( ( _u17603 != c_List_Olist_ONil(_u17601)) | ( c_List_Olist_ONil(_u17601) = c_List_Oremdups(_u17601, _u17603)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_removeAll_Osimps_I1_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_removeAll_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_OremoveAll(_u17604, _u17605), c_List_Olist_ONil(_u17604)) = c_List_Olist_ONil(_u17604)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_remdups__eq__nil__iff ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_remdups__eq__nil__iff-1, axiom, ( ( c_List_Oremdups(_u17608, _u17610) != c_List_Olist_ONil(_u17608)) | ( _u17610 = c_List_Olist_ONil(_u17608)) )).
% 12.54/12.74 cnf(fact_remdups__eq__nil__iff-2, axiom, ( ( _u17611 != c_List_Olist_ONil(_u17609)) | ( c_List_Oremdups(_u17609, _u17611) = c_List_Olist_ONil(_u17609)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_remdups__map__remdups ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_remdups__map__remdups-1, axiom, ( ( c_List_Oremdups(_u17612, hAPP(hAPP(c_List_Omap(_u17613, _u17612), _u17614), c_List_Oremdups(_u17613, _u17615))) = c_List_Oremdups(_u17612, hAPP(hAPP(c_List_Omap(_u17613, _u17612), _u17614), _u17615))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_remove1__remdups ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_remove1__remdups-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17616), _u17617)) | ( c_List_Oremove1(_u17616, _u17618, c_List_Oremdups(_u17616, _u17617)) = c_List_Oremdups(_u17616, c_List_Oremove1(_u17616, _u17618, _u17617))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_removeAll__id ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_removeAll__id-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17619), _u17620), hAPP(c_List_Oset(_u17619), _u17621))) | ( hAPP(c_List_OremoveAll(_u17619, _u17620), _u17621) = _u17621) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_distinct__remove1__removeAll ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_distinct__remove1__removeAll-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17622), _u17623)) | ( c_List_Oremove1(_u17622, _u17624, _u17623) = hAPP(c_List_OremoveAll(_u17622, _u17624), _u17623)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_remdups_Osimps_I2_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_remdups_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17628), _u17630), hAPP(c_List_Oset(_u17628), _u17632))) | ( c_List_Oremdups(_u17628, hAPP(hAPP(c_List_Olist_OCons(_u17628), _u17630), _u17632)) = c_List_Oremdups(_u17628, _u17632)) )).
% 12.54/12.74 cnf(fact_remdups_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17629), _u17631), hAPP(c_List_Oset(_u17629), _u17633))) | ( c_List_Oremdups(_u17629, hAPP(hAPP(c_List_Olist_OCons(_u17629), _u17631), _u17633)) = hAPP(hAPP(c_List_Olist_OCons(_u17629), _u17631), c_List_Oremdups(_u17629, _u17633))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_length__remdups__card__conv ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_length__remdups__card__conv-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17634)), c_List_Oremdups(_u17634, _u17635)) = hAPP(c_Finite__Set_Ocard(_u17634), hAPP(c_List_Oset(_u17634), _u17635))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_map__removeAll__inj ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_map__removeAll__inj-1, axiom, ( ~c_Fun_Oinj__on(_u17636, _u17637, _u17638, c_Orderings_Otop__class_Otop(tc_fun(_u17636, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u17636, _u17637), _u17638), hAPP(c_List_OremoveAll(_u17636, _u17639), _u17640)) = hAPP(c_List_OremoveAll(_u17637, hAPP(_u17638, _u17639)), hAPP(hAPP(c_List_Omap(_u17636, _u17637), _u17638), _u17640))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__removeAll ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__removeAll-1, axiom, ( ( hAPP(c_List_Oset(_u17641), hAPP(c_List_OremoveAll(_u17641, _u17642), _u17643)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17641, tc_HOL_Obool)), hAPP(c_List_Oset(_u17641), _u17643)), hAPP(hAPP(c_Set_Oinsert(_u17641), _u17642), c_Orderings_Obot__class_Obot(tc_fun(_u17641, tc_HOL_Obool))))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_length__remdups__concat ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_length__remdups__concat-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17644)), c_List_Oremdups(_u17644, c_List_Oconcat(_u17644, _u17645))) = hAPP(c_Finite__Set_Ocard(_u17644), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u17644), tc_fun(_u17644, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u17644)), _u17645)), c_List_Oset(_u17644)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sorted__list__of__set__sort__remdups ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_sorted__list__of__set__sort__remdups-1, axiom, ( ~class_Orderings_Olinorder(_u17646) | ( c_List_Olinorder__class_Osorted__list__of__set(_u17646, hAPP(c_List_Oset(_u17646), _u17647)) = c_List_Olinorder__class_Osort__key(_u17646, _u17646, c_COMBI(_u17646), c_List_Oremdups(_u17646, _u17647))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_concat__conv__foldl ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_concat__conv__foldl-1, axiom, ( ( c_List_Oconcat(_u17648, _u17649) = hAPP(c_List_Ofoldl(tc_List_Olist(_u17648), tc_List_Olist(_u17648), c_List_Oappend(_u17648), c_List_Olist_ONil(_u17648)), _u17649)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_foldl__conv__concat ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_foldl__conv__concat-1, axiom, ( ( hAPP(c_List_Ofoldl(tc_List_Olist(_u17650), tc_List_Olist(_u17650), c_List_Oappend(_u17650), _u17651), _u17652) = hAPP(hAPP(c_List_Oappend(_u17650), _u17651), c_List_Oconcat(_u17650, _u17652))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sort__key__simps_I1_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_sort__key__simps_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u17653) | ( c_List_Olinorder__class_Osort__key(_u17654, _u17653, _u17655, c_List_Olist_ONil(_u17654)) = c_List_Olist_ONil(_u17654)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__sort ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__sort-1, axiom, ( ~class_Orderings_Olinorder(_u17656) | ( hAPP(c_List_Oset(_u17657), c_List_Olinorder__class_Osort__key(_u17657, _u17656, _u17658, _u17659)) = hAPP(c_List_Oset(_u17657), _u17659)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_length__sort ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_length__sort-1, axiom, ( ~class_Orderings_Olinorder(_u17660) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17661)), c_List_Olinorder__class_Osort__key(_u17661, _u17660, _u17662, _u17663)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17661)), _u17663)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_distinct__sort ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_distinct__sort-1, axiom, ( ~class_Orderings_Olinorder(_u17664) | ~hBOOL(hAPP(c_List_Odistinct(_u17665), c_List_Olinorder__class_Osort__key(_u17665, _u17664, _u17666, _u17667))) | hBOOL(hAPP(c_List_Odistinct(_u17665), _u17667)) )).
% 12.54/12.74 cnf(fact_distinct__sort-2, axiom, ( ~class_Orderings_Olinorder(_u17664) | ~hBOOL(hAPP(c_List_Odistinct(_u17665), _u17667)) | hBOOL(hAPP(c_List_Odistinct(_u17665), c_List_Olinorder__class_Osort__key(_u17665, _u17664, _u17666, _u17667))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_concat_Osimps_I1_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_concat_Osimps_I1_J-1, axiom, ( ( c_List_Oconcat(_u17668, c_List_Olist_ONil(tc_List_Olist(_u17668))) = c_List_Olist_ONil(_u17668)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_concat_Osimps_I2_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_concat_Osimps_I2_J-1, axiom, ( ( c_List_Oconcat(_u17669, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17669)), _u17670), _u17671)) = hAPP(hAPP(c_List_Oappend(_u17669), _u17670), c_List_Oconcat(_u17669, _u17671))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_Nil__eq__concat__conv ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_Nil__eq__concat__conv-1, axiom, ( ( c_List_Olist_ONil(_u17676) != c_List_Oconcat(_u17676, _u17678)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17676)), _u17672), hAPP(c_List_Oset(tc_List_Olist(_u17676)), _u17678))) | ( _u17672 = c_List_Olist_ONil(_u17676)) )).
% 12.54/12.74 cnf(fact_Nil__eq__concat__conv-2, axiom, ( ( c_List_Olist_ONil(_u17677) = c_List_Oconcat(_u17677, _u17679)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17677)), skolem456(_u17679, _u17677)), hAPP(c_List_Oset(tc_List_Olist(_u17677)), _u17679))) )).
% 12.54/12.74 cnf(fact_Nil__eq__concat__conv-3, axiom, ( ( c_List_Olist_ONil(_u17677) = c_List_Oconcat(_u17677, _u17679)) | ( skolem456(_u17679, _u17677) != c_List_Olist_ONil(_u17677)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_concat__eq__Nil__conv ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_concat__eq__Nil__conv-1, axiom, ( ( c_List_Oconcat(_u17684, _u17686) != c_List_Olist_ONil(_u17684)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17684)), _u17680), hAPP(c_List_Oset(tc_List_Olist(_u17684)), _u17686))) | ( _u17680 = c_List_Olist_ONil(_u17684)) )).
% 12.54/12.74 cnf(fact_concat__eq__Nil__conv-2, axiom, ( ( c_List_Oconcat(_u17685, _u17687) = c_List_Olist_ONil(_u17685)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17685)), skolem457(_u17687, _u17685)), hAPP(c_List_Oset(tc_List_Olist(_u17685)), _u17687))) )).
% 12.54/12.74 cnf(fact_concat__eq__Nil__conv-3, axiom, ( ( c_List_Oconcat(_u17685, _u17687) = c_List_Olist_ONil(_u17685)) | ( skolem457(_u17687, _u17685) != c_List_Olist_ONil(_u17685)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_map__concat ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_map__concat-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17688, _u17689), _u17690), c_List_Oconcat(_u17688, _u17691)) = c_List_Oconcat(_u17689, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17688), tc_List_Olist(_u17689)), hAPP(c_List_Omap(_u17688, _u17689), _u17690)), _u17691))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_length__concat ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_length__concat-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17692)), c_List_Oconcat(_u17692, _u17693)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17692), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17692))), _u17693))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__concat ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__concat-1, axiom, ( ( hAPP(c_List_Oset(_u17694), c_List_Oconcat(_u17694, _u17695)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u17694), tc_fun(_u17694, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u17694)), _u17695)), c_List_Oset(_u17694))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sort__key__simps_I2_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_sort__key__simps_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u17696) | ( c_List_Olinorder__class_Osort__key(_u17697, _u17696, _u17698, hAPP(hAPP(c_List_Olist_OCons(_u17697), _u17699), _u17700)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17697, _u17696, _u17698), _u17699), c_List_Olinorder__class_Osort__key(_u17697, _u17696, _u17698, _u17700))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_concat__append ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_concat__append-1, axiom, ( ( c_List_Oconcat(_u17701, hAPP(hAPP(c_List_Oappend(tc_List_Olist(_u17701)), _u17702), _u17703)) = hAPP(hAPP(c_List_Oappend(_u17701), c_List_Oconcat(_u17701, _u17702)), c_List_Oconcat(_u17701, _u17703))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sort__foldl__insort ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_sort__foldl__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17704) | ( c_List_Olinorder__class_Osort__key(_u17704, _u17704, c_COMBI(_u17704), _u17705) = hAPP(c_List_Ofoldl(tc_List_Olist(_u17704), _u17704, hAPP(c_COMBC(_u17704, tc_List_Olist(_u17704), tc_List_Olist(_u17704)), c_List_Olinorder__class_Oinsort__key(_u17704, _u17704, c_COMBI(_u17704))), c_List_Olist_ONil(_u17704)), _u17705)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_concat__eq__concat__iff ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_concat__eq__concat__iff-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17707), tc_List_Olist(_u17707))), skolem458(_u17709, _u17708, _u17707)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17707), tc_List_Olist(_u17707))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17707), tc_List_Olist(_u17707)), _u17708), _u17709)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17707))), _u17708) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17707))), _u17709)) | ( c_List_Oconcat(_u17707, _u17708) != c_List_Oconcat(_u17707, _u17709)) | ( _u17708 = _u17709) )).
% 12.54/12.74 cnf(fact_concat__eq__concat__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17707), tc_List_Olist(_u17707))), skolem458(_u17709, _u17708, _u17707)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17707), tc_List_Olist(_u17707))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17707), tc_List_Olist(_u17707)), _u17708), _u17709)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17707))), _u17708) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17707))), _u17709)) | ( _u17708 != _u17709) | ( c_List_Oconcat(_u17707, _u17708) = c_List_Oconcat(_u17707, _u17709)) )).
% 12.54/12.74 cnf(fact_concat__eq__concat__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17707), tc_List_Olist(_u17707), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17707), tc_fun(tc_List_Olist(_u17707), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17707), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17707), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17707), tc_HOL_Obool)), tc_List_Olist(_u17707)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17707))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17707)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17707))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17707)))), skolem458(_u17709, _u17708, _u17707))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17707))), _u17708) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17707))), _u17709)) | ( c_List_Oconcat(_u17707, _u17708) != c_List_Oconcat(_u17707, _u17709)) | ( _u17708 = _u17709) )).
% 12.54/12.74 cnf(fact_concat__eq__concat__iff-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17707), tc_List_Olist(_u17707), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17707), tc_fun(tc_List_Olist(_u17707), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17707), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17707), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17707), tc_HOL_Obool)), tc_List_Olist(_u17707)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17707))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17707)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17707))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17707)))), skolem458(_u17709, _u17708, _u17707))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17707))), _u17708) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17707))), _u17709)) | ( _u17708 != _u17709) | ( c_List_Oconcat(_u17707, _u17708) = c_List_Oconcat(_u17707, _u17709)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_concat__injective ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_concat__injective-1, axiom, ( ( c_List_Oconcat(_u17711, _u17712) != c_List_Oconcat(_u17711, _u17713)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17711))), _u17712) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17711))), _u17713)) | ( _u17712 = _u17713) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17711), tc_List_Olist(_u17711))), skolem459(_u17713, _u17712, _u17711)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17711), tc_List_Olist(_u17711))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17711), tc_List_Olist(_u17711)), _u17712), _u17713)))) )).
% 12.54/12.74 cnf(fact_concat__injective-2, axiom, ( ( c_List_Oconcat(_u17711, _u17712) != c_List_Oconcat(_u17711, _u17713)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17711))), _u17712) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17711))), _u17713)) | ( _u17712 = _u17713) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17711), tc_List_Olist(_u17711), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17711), tc_fun(tc_List_Olist(_u17711), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17711), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17711), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17711), tc_HOL_Obool)), tc_List_Olist(_u17711)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17711))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17711)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17711))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17711)))), skolem459(_u17713, _u17712, _u17711))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_concat__map__singleton ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_concat__map__singleton-1, axiom, ( ( c_List_Oconcat(_u17714, hAPP(hAPP(c_List_Omap(_u17715, tc_List_Olist(_u17714)), hAPP(hAPP(c_COMBC(_u17715, tc_List_Olist(_u17714), tc_List_Olist(_u17714)), hAPP(hAPP(c_COMBB(_u17714, tc_fun(tc_List_Olist(_u17714), tc_List_Olist(_u17714)), _u17715), c_List_Olist_OCons(_u17714)), _u17716)), c_List_Olist_ONil(_u17714))), _u17717)) = hAPP(hAPP(c_List_Omap(_u17715, _u17714), _u17716), _u17717)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_n__lists_Osimps_I2_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_n__lists_Osimps_I2_J-1, axiom, ( ( c_Enum_On__lists(_u17718, hAPP(c_Nat_OSuc, _u17719), _u17720) = c_List_Oconcat(tc_List_Olist(_u17718), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17718), tc_List_Olist(tc_List_Olist(_u17718))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17718), tc_List_Olist(_u17718), tc_List_Olist(tc_List_Olist(_u17718))), hAPP(hAPP(c_COMBB(tc_fun(_u17718, tc_List_Olist(_u17718)), tc_fun(tc_List_Olist(_u17718), tc_List_Olist(tc_List_Olist(_u17718))), tc_List_Olist(_u17718)), c_List_Omap(_u17718, tc_List_Olist(_u17718))), hAPP(c_COMBC(_u17718, tc_List_Olist(_u17718), tc_List_Olist(_u17718)), c_List_Olist_OCons(_u17718)))), _u17720)), c_Enum_On__lists(_u17718, _u17719, _u17720)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_transpose_Osimps_I3_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_transpose_Osimps_I3_J-1, axiom, ( ( c_List_Otranspose(_u17721, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17721)), hAPP(hAPP(c_List_Olist_OCons(_u17721), _u17722), _u17723)), _u17724)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17721)), hAPP(hAPP(c_List_Olist_OCons(_u17721), _u17722), c_List_Oconcat(_u17721, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17721), tc_List_Olist(_u17721)), c_List_Olist_Olist__case(tc_List_Olist(_u17721), _u17721, c_List_Olist_ONil(_u17721), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17721), tc_fun(tc_List_Olist(_u17721), tc_List_Olist(_u17721)), _u17721), c_COMBK(tc_List_Olist(_u17721), tc_List_Olist(_u17721))), hAPP(hAPP(c_COMBC(_u17721, tc_List_Olist(_u17721), tc_List_Olist(_u17721)), c_List_Olist_OCons(_u17721)), c_List_Olist_ONil(_u17721))))), _u17724)))), c_List_Otranspose(_u17721, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17721)), _u17723), c_List_Oconcat(tc_List_Olist(_u17721), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17721), tc_List_Olist(tc_List_Olist(_u17721))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u17721)), _u17721, c_List_Olist_ONil(tc_List_Olist(_u17721)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17721), tc_List_Olist(tc_List_Olist(_u17721))), _u17721), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17721), tc_List_Olist(tc_List_Olist(_u17721)), tc_List_Olist(tc_List_Olist(_u17721))), c_List_Olist_OCons(tc_List_Olist(_u17721))), c_List_Olist_ONil(tc_List_Olist(_u17721)))))), _u17724)))))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_transpose__aux__filter__head ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_transpose__aux__filter__head-1, axiom, ( ( c_List_Oconcat(_u17725, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17725), tc_List_Olist(_u17725)), c_List_Olist_Olist__case(tc_List_Olist(_u17725), _u17725, c_List_Olist_ONil(_u17725), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17725), tc_fun(tc_List_Olist(_u17725), tc_List_Olist(_u17725)), _u17725), c_COMBK(tc_List_Olist(_u17725), tc_List_Olist(_u17725))), hAPP(hAPP(c_COMBC(_u17725, tc_List_Olist(_u17725), tc_List_Olist(_u17725)), c_List_Olist_OCons(_u17725)), c_List_Olist_ONil(_u17725))))), _u17726)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17725), _u17725), c_List_Ohd(_u17725)), hAPP(c_List_Ofilter(tc_List_Olist(_u17725), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17725)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17725), tc_List_Olist(_u17725), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17725)))), _u17726))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_filter__concat ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_filter__concat-1, axiom, ( ( hAPP(c_List_Ofilter(_u17727, _u17728), c_List_Oconcat(_u17727, _u17729)) = c_List_Oconcat(_u17727, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17727), tc_List_Olist(_u17727)), c_List_Ofilter(_u17727, _u17728)), _u17729))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_filter__sort ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_filter__sort-1, axiom, ( ~class_Orderings_Olinorder(_u17730) | ( hAPP(c_List_Ofilter(_u17731, _u17732), c_List_Olinorder__class_Osort__key(_u17731, _u17730, _u17733, _u17734)) = c_List_Olinorder__class_Osort__key(_u17731, _u17730, _u17733, hAPP(c_List_Ofilter(_u17731, _u17732), _u17734))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_distinct__filter ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_distinct__filter-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17735), _u17736)) | hBOOL(hAPP(c_List_Odistinct(_u17735), hAPP(c_List_Ofilter(_u17735, _u17737), _u17736))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_length__filter__le ( axiom ) converted to clauses:
% 12.54/12.74 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(_u17738)), hAPP(c_List_Ofilter(_u17738, _u17739), _u17740))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17738)), _u17740))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sum__length__filter__compl ( axiom ) converted to clauses:
% 12.54/12.74 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(_u17741)), hAPP(c_List_Ofilter(_u17741, _u17742), _u17743))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17741)), hAPP(c_List_Ofilter(_u17741, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17741), c_fNot), _u17742)), _u17743))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17741)), _u17743)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_filter__id__conv ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_filter__id__conv-1, axiom, ( ( hAPP(c_List_Ofilter(_u17749, _u17751), _u17753) != _u17753) | ~hBOOL(hAPP(hAPP(c_member(_u17749), _u17744), hAPP(c_List_Oset(_u17749), _u17753))) | hBOOL(hAPP(_u17751, _u17744)) )).
% 12.54/12.74 cnf(fact_filter__id__conv-2, axiom, ( ( hAPP(c_List_Ofilter(_u17750, _u17752), _u17754) = _u17754) | hBOOL(hAPP(hAPP(c_member(_u17750), skolem460(_u17754, _u17752, _u17750)), hAPP(c_List_Oset(_u17750), _u17754))) )).
% 12.54/12.74 cnf(fact_filter__id__conv-3, axiom, ( ( hAPP(c_List_Ofilter(_u17750, _u17752), _u17754) = _u17754) | ~hBOOL(hAPP(_u17752, skolem460(_u17754, _u17752, _u17750))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_filter__is__subset ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_filter__is__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17755, tc_HOL_Obool)), hAPP(c_List_Oset(_u17755), hAPP(c_List_Ofilter(_u17755, _u17756), _u17757))), hAPP(c_List_Oset(_u17755), _u17757))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_remove1__filter__not ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_remove1__filter__not-1, axiom, ( hBOOL(hAPP(_u17758, _u17759)) | ( c_List_Oremove1(_u17760, _u17759, hAPP(c_List_Ofilter(_u17760, _u17758), _u17761)) = hAPP(c_List_Ofilter(_u17760, _u17758), _u17761)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_filter__remove1 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_filter__remove1-1, axiom, ( ( hAPP(c_List_Ofilter(_u17762, _u17763), c_List_Oremove1(_u17762, _u17764, _u17765)) = c_List_Oremove1(_u17762, _u17764, hAPP(c_List_Ofilter(_u17762, _u17763), _u17765))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_filter__filter ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_filter__filter-1, axiom, ( ( hAPP(c_List_Ofilter(_u17766, _u17767), hAPP(c_List_Ofilter(_u17766, _u17768), _u17769)) = hAPP(c_List_Ofilter(_u17766, hAPP(hAPP(c_COMBS(_u17766, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17766), c_fconj), _u17768)), _u17767)), _u17769)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_filter__insort__triv ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_filter__insort__triv-1, axiom, ( ~class_Orderings_Olinorder(_u17770) | hBOOL(hAPP(_u17771, _u17772)) | ( hAPP(c_List_Ofilter(_u17773, _u17771), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17773, _u17770, _u17774), _u17772), _u17775)) = hAPP(c_List_Ofilter(_u17773, _u17771), _u17775)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_partition__filter1 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_partition__filter1-1, axiom, ( ( hAPP(c_Product__Type_Ofst(tc_List_Olist(_u17776), tc_List_Olist(_u17776)), c_List_Opartition(_u17776, _u17777, _u17778)) = hAPP(c_List_Ofilter(_u17776, _u17777), _u17778)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_partition__filter__conv ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_partition__filter__conv-1, axiom, ( ( c_List_Opartition(_u17779, _u17780, _u17781) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17779), tc_List_Olist(_u17779)), hAPP(c_List_Ofilter(_u17779, _u17780), _u17781)), hAPP(c_List_Ofilter(_u17779, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u17779, c_fNot), _u17780)), _u17781))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_partition__filter2 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_partition__filter2-1, axiom, ( ( hAPP(c_Product__Type_Osnd(tc_List_Olist(_u17782), tc_List_Olist(_u17782)), c_List_Opartition(_u17782, _u17783, _u17784)) = hAPP(c_List_Ofilter(_u17782, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u17782, c_fNot), _u17783)), _u17784)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_filter__map ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_filter__map-1, axiom, ( ( hAPP(c_List_Ofilter(_u17785, _u17786), hAPP(hAPP(c_List_Omap(_u17787, _u17785), _u17788), _u17789)) = hAPP(hAPP(c_List_Omap(_u17787, _u17785), _u17788), hAPP(c_List_Ofilter(_u17787, hAPP(c_Fun_Ocomp(_u17785, tc_HOL_Obool, _u17787, _u17786), _u17788)), _u17789))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_filter__append ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_filter__append-1, axiom, ( ( hAPP(c_List_Ofilter(_u17790, _u17791), hAPP(hAPP(c_List_Oappend(_u17790), _u17792), _u17793)) = hAPP(hAPP(c_List_Oappend(_u17790), hAPP(c_List_Ofilter(_u17790, _u17791), _u17792)), hAPP(c_List_Ofilter(_u17790, _u17791), _u17793))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_filter_Osimps_I2_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_filter_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(_u17798, _u17800)) | ( hAPP(c_List_Ofilter(_u17802, _u17798), hAPP(hAPP(c_List_Olist_OCons(_u17802), _u17800), _u17804)) = hAPP(hAPP(c_List_Olist_OCons(_u17802), _u17800), hAPP(c_List_Ofilter(_u17802, _u17798), _u17804))) )).
% 12.54/12.74 cnf(fact_filter_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(_u17799, _u17801)) | ( hAPP(c_List_Ofilter(_u17803, _u17799), hAPP(hAPP(c_List_Olist_OCons(_u17803), _u17801), _u17805)) = hAPP(c_List_Ofilter(_u17803, _u17799), _u17805)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_transpose_Osimps_I1_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_transpose_Osimps_I1_J-1, axiom, ( ( c_List_Otranspose(_u17806, c_List_Olist_ONil(tc_List_Olist(_u17806))) = c_List_Olist_ONil(tc_List_Olist(_u17806))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_filter_Osimps_I1_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_filter_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Ofilter(_u17807, _u17808), c_List_Olist_ONil(_u17807)) = c_List_Olist_ONil(_u17807)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_filter__empty__conv ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_filter__empty__conv-1, axiom, ( ( hAPP(c_List_Ofilter(_u17814, _u17816), _u17818) != c_List_Olist_ONil(_u17814)) | ~hBOOL(hAPP(hAPP(c_member(_u17814), _u17809), hAPP(c_List_Oset(_u17814), _u17818))) | ~hBOOL(hAPP(_u17816, _u17809)) )).
% 12.54/12.74 cnf(fact_filter__empty__conv-2, axiom, ( ( hAPP(c_List_Ofilter(_u17815, _u17817), _u17819) = c_List_Olist_ONil(_u17815)) | hBOOL(hAPP(hAPP(c_member(_u17815), skolem461(_u17819, _u17817, _u17815)), hAPP(c_List_Oset(_u17815), _u17819))) )).
% 12.54/12.74 cnf(fact_filter__empty__conv-3, axiom, ( ( hAPP(c_List_Ofilter(_u17815, _u17817), _u17819) = c_List_Olist_ONil(_u17815)) | hBOOL(hAPP(_u17817, skolem461(_u17819, _u17817, _u17815))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_length__filter__map ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_length__filter__map-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17820)), hAPP(c_List_Ofilter(_u17820, _u17821), hAPP(hAPP(c_List_Omap(_u17822, _u17820), _u17823), _u17824))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17822)), hAPP(c_List_Ofilter(_u17822, hAPP(c_Fun_Ocomp(_u17820, tc_HOL_Obool, _u17822, _u17821), _u17823)), _u17824))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_removeAll__filter__not__eq ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_removeAll__filter__not__eq-1, axiom, ( ( c_List_OremoveAll(_u17825, _u17826) = c_List_Ofilter(_u17825, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17825), c_fNot), hAPP(c_fequal, _u17826)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_removeAll__filter__not ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_removeAll__filter__not-1, axiom, ( hBOOL(hAPP(_u17827, _u17828)) | ( hAPP(c_List_OremoveAll(_u17829, _u17828), hAPP(c_List_Ofilter(_u17829, _u17827), _u17830)) = hAPP(c_List_Ofilter(_u17829, _u17827), _u17830)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_remdups__filter ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_remdups__filter-1, axiom, ( ( c_List_Oremdups(_u17831, hAPP(c_List_Ofilter(_u17831, _u17832), _u17833)) = hAPP(c_List_Ofilter(_u17831, _u17832), c_List_Oremdups(_u17831, _u17833))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_transpose_Osimps_I2_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_transpose_Osimps_I2_J-1, axiom, ( ( c_List_Otranspose(_u17834, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17834)), c_List_Olist_ONil(_u17834)), _u17835)) = c_List_Otranspose(_u17834, _u17835)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_nth__transpose ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_nth__transpose-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17836), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17837))), c_List_Otranspose(_u17837, _u17838)))) | ( hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17837)), c_List_Otranspose(_u17837, _u17838)), _u17836) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17837), _u17837), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17837), tc_Nat_Onat, _u17837), c_List_Onth(_u17837)), _u17836)), hAPP(c_List_Ofilter(tc_List_Olist(_u17837), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17837)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17836)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17837)))), _u17838))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_transpose__map__map ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_transpose__map__map-1, axiom, ( ( c_List_Otranspose(_u17839, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17840), tc_List_Olist(_u17839)), hAPP(c_List_Omap(_u17840, _u17839), _u17841)), _u17842)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17840), tc_List_Olist(_u17839)), hAPP(c_List_Omap(_u17840, _u17839), _u17841)), c_List_Otranspose(_u17840, _u17842))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__filter ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__filter-1, axiom, ( ( hAPP(c_List_Oset(_u17843), hAPP(c_List_Ofilter(_u17843, _u17844), _u17845)) = hAPP(c_Set_OCollect(_u17843), hAPP(hAPP(c_COMBS(_u17843, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17843), c_fconj), hAPP(hAPP(c_COMBC(_u17843, tc_fun(_u17843, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17843)), hAPP(c_List_Oset(_u17843), _u17845)))), _u17844))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_length__filter__less ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_length__filter__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17846), _u17847), hAPP(c_List_Oset(_u17846), _u17848))) | hBOOL(hAPP(_u17849, _u17847)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17846)), hAPP(c_List_Ofilter(_u17846, _u17849), _u17848))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17846)), _u17848))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__minus__filter__out ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__minus__filter__out-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17850, tc_HOL_Obool)), hAPP(c_List_Oset(_u17850), _u17851)), hAPP(hAPP(c_Set_Oinsert(_u17850), _u17852), c_Orderings_Obot__class_Obot(tc_fun(_u17850, tc_HOL_Obool)))) = hAPP(c_List_Oset(_u17850), hAPP(c_List_Ofilter(_u17850, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17850), c_fNot), hAPP(hAPP(c_COMBC(_u17850, _u17850, tc_HOL_Obool), c_fequal), _u17852))), _u17851))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_filter__in__sublist ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_filter__in__sublist-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17853), _u17854)) | ( hAPP(c_List_Ofilter(_u17853, hAPP(hAPP(c_COMBC(_u17853, tc_fun(_u17853, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17853)), hAPP(c_List_Oset(_u17853), c_List_Osublist(_u17853, _u17854, _u17855)))), _u17854) = c_List_Osublist(_u17853, _u17854, _u17855)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_transpose__empty ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_transpose__empty-1, axiom, ( ( c_List_Otranspose(_u17860, _u17862) != c_List_Olist_ONil(tc_List_Olist(_u17860))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17860)), _u17856), hAPP(c_List_Oset(tc_List_Olist(_u17860)), _u17862))) | ( _u17856 = c_List_Olist_ONil(_u17860)) )).
% 12.54/12.74 cnf(fact_transpose__empty-2, axiom, ( ( c_List_Otranspose(_u17861, _u17863) = c_List_Olist_ONil(tc_List_Olist(_u17861))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17861)), skolem462(_u17863, _u17861)), hAPP(c_List_Oset(tc_List_Olist(_u17861)), _u17863))) )).
% 12.54/12.74 cnf(fact_transpose__empty-3, axiom, ( ( c_List_Otranspose(_u17861, _u17863) = c_List_Olist_ONil(tc_List_Olist(_u17861))) | ( skolem462(_u17863, _u17861) != c_List_Olist_ONil(_u17861)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_length__filter__conv__card ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_length__filter__conv__card-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17864)), hAPP(c_List_Ofilter(_u17864, _u17865), _u17866)) = 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(_u17864)), _u17866)))), hAPP(hAPP(c_COMBB(_u17864, tc_HOL_Obool, tc_Nat_Onat), _u17865), hAPP(c_List_Onth(_u17864), _u17866)))))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_transpose__aux__filter__tail ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_transpose__aux__filter__tail-1, axiom, ( ( c_List_Oconcat(tc_List_Olist(_u17867), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17867), tc_List_Olist(tc_List_Olist(_u17867))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u17867)), _u17867, c_List_Olist_ONil(tc_List_Olist(_u17867)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17867), tc_List_Olist(tc_List_Olist(_u17867))), _u17867), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17867), tc_List_Olist(tc_List_Olist(_u17867)), tc_List_Olist(tc_List_Olist(_u17867))), c_List_Olist_OCons(tc_List_Olist(_u17867))), c_List_Olist_ONil(tc_List_Olist(_u17867)))))), _u17868)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17867), tc_List_Olist(_u17867)), c_List_Otl(_u17867)), hAPP(c_List_Ofilter(tc_List_Olist(_u17867), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17867)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17867), tc_List_Olist(_u17867), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17867)))), _u17868))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_transpose_Opsimps_I3_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_transpose_Opsimps_I3_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u17869)), c_List_Otranspose__rel(_u17869)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17869)), hAPP(hAPP(c_List_Olist_OCons(_u17869), _u17870), _u17871)), _u17872))) | ( c_List_Otranspose(_u17869, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17869)), hAPP(hAPP(c_List_Olist_OCons(_u17869), _u17870), _u17871)), _u17872)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17869)), hAPP(hAPP(c_List_Olist_OCons(_u17869), _u17870), c_List_Oconcat(_u17869, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17869), tc_List_Olist(_u17869)), c_List_Olist_Olist__case(tc_List_Olist(_u17869), _u17869, c_List_Olist_ONil(_u17869), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17869), tc_fun(tc_List_Olist(_u17869), tc_List_Olist(_u17869)), _u17869), c_COMBK(tc_List_Olist(_u17869), tc_List_Olist(_u17869))), hAPP(hAPP(c_COMBC(_u17869, tc_List_Olist(_u17869), tc_List_Olist(_u17869)), c_List_Olist_OCons(_u17869)), c_List_Olist_ONil(_u17869))))), _u17872)))), c_List_Otranspose(_u17869, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17869)), _u17871), c_List_Oconcat(tc_List_Olist(_u17869), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17869), tc_List_Olist(tc_List_Olist(_u17869))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u17869)), _u17869, c_List_Olist_ONil(tc_List_Olist(_u17869)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17869), tc_List_Olist(tc_List_Olist(_u17869))), _u17869), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17869), tc_List_Olist(tc_List_Olist(_u17869)), tc_List_Olist(tc_List_Olist(_u17869))), c_List_Olist_OCons(tc_List_Olist(_u17869))), c_List_Olist_ONil(tc_List_Olist(_u17869)))))), _u17872)))))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_transpose_Opsimps_I2_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_transpose_Opsimps_I2_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u17873)), c_List_Otranspose__rel(_u17873)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17873)), c_List_Olist_ONil(_u17873)), _u17874))) | ( c_List_Otranspose(_u17873, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17873)), c_List_Olist_ONil(_u17873)), _u17874)) = c_List_Otranspose(_u17873, _u17874)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sublist__shift__lemma__Suc ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_sublist__shift__lemma__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u17875, tc_Nat_Onat), _u17875), c_Product__Type_Ofst(_u17875, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u17875, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u17875, tc_Nat_Onat)), _u17876), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_prod(_u17875, tc_Nat_Onat)), c_Nat_OSuc), c_Product__Type_Osnd(_u17875, tc_Nat_Onat)))), hAPP(hAPP(c_List_Ozip(_u17875, tc_Nat_Onat), _u17877), _u17878))) = hAPP(hAPP(c_List_Omap(tc_prod(_u17875, tc_Nat_Onat), _u17875), c_Product__Type_Ofst(_u17875, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u17875, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u17875, tc_Nat_Onat)), _u17876), c_Product__Type_Osnd(_u17875, tc_Nat_Onat))), hAPP(hAPP(c_List_Ozip(_u17875, tc_Nat_Onat), _u17877), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), _u17878))))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_pick__drop__zero ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_pick__drop__zero-1, axiom, ( ( c_Random_Opick(_u17879, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17879), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u17879, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u17879, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u17879)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u17880)) = c_Random_Opick(_u17879, _u17880)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_select__weigth__drop__zero ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_select__weigth__drop__zero-1, axiom, ( ( c_Random_Oselect__weight(_u17881, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17881), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u17881, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u17881, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u17881)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u17882)) = c_Random_Oselect__weight(_u17881, _u17882)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_transpose_Opsimps_I1_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_transpose_Opsimps_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u17883)), c_List_Otranspose__rel(_u17883)), c_List_Olist_ONil(tc_List_Olist(_u17883)))) | ( c_List_Otranspose(_u17883, c_List_Olist_ONil(tc_List_Olist(_u17883))) = c_List_Olist_ONil(tc_List_Olist(_u17883))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_transpose__max__length ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_transpose__max__length-1, axiom, ( ( c_List_Ofoldr(tc_List_Olist(_u17884), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17884)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17884))), c_List_Otranspose(_u17884, _u17885), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17884))), hAPP(c_List_Ofilter(tc_List_Olist(_u17884), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17884)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17884), tc_List_Olist(_u17884), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17884)))), _u17885))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_transpose__aux__max ( axiom ) converted to clauses:
% 12.54/12.74 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(_u17886)), _u17887))), c_List_Ofoldr(tc_List_Olist(_u17888), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17888)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17888))), _u17889, 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(_u17886)), _u17887)), c_List_Ofoldr(tc_List_Olist(_u17888), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17888)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17888), tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17888)), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17888)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_List_Ofilter(tc_List_Olist(_u17888), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17888)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17888), tc_List_Olist(_u17888), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17888)))), _u17889), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_foldr__append ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_foldr__append-1, axiom, ( ( c_List_Ofoldr(_u17890, _u17891, _u17892, hAPP(hAPP(c_List_Oappend(_u17890), _u17893), _u17894), _u17895) = c_List_Ofoldr(_u17890, _u17891, _u17892, _u17893, c_List_Ofoldr(_u17890, _u17891, _u17892, _u17894, _u17895))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_foldr_Osimps_I2_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_foldr_Osimps_I2_J-1, axiom, ( ( c_List_Ofoldr(_u17896, _u17897, _u17898, hAPP(hAPP(c_List_Olist_OCons(_u17896), _u17899), _u17900), _u17901) = hAPP(hAPP(_u17898, _u17899), c_List_Ofoldr(_u17896, _u17897, _u17898, _u17900, _u17901))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_foldr_Osimps_I1_J ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_foldr_Osimps_I1_J-1, axiom, ( ( c_List_Ofoldr(_u17902, _u17903, _u17904, c_List_Olist_ONil(_u17902), _u17905) = _u17905) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_foldr__conv__foldl ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_foldr__conv__foldl-1, axiom, ( ~class_Groups_Oab__semigroup__add(_u17906) | ( c_List_Ofoldr(_u17906, _u17906, c_Groups_Oplus__class_Oplus(_u17906), _u17907, _u17908) = hAPP(c_List_Ofoldl(_u17906, _u17906, c_Groups_Oplus__class_Oplus(_u17906), _u17908), _u17907)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_foldr__map ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_foldr__map-1, axiom, ( ( c_List_Ofoldr(_u17909, _u17910, _u17911, hAPP(hAPP(c_List_Omap(_u17912, _u17909), _u17913), _u17914), _u17915) = c_List_Ofoldr(_u17912, _u17910, hAPP(c_Fun_Ocomp(_u17909, tc_fun(_u17910, _u17910), _u17912, _u17911), _u17913), _u17914, _u17915)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_foldl__foldr1__lemma ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_foldl__foldr1__lemma-1, axiom, ( ~class_Groups_Omonoid__add(_u17916) | ( hAPP(c_List_Ofoldl(_u17916, _u17916, c_Groups_Oplus__class_Oplus(_u17916), _u17917), _u17918) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17916), _u17917), c_List_Ofoldr(_u17916, _u17916, c_Groups_Oplus__class_Oplus(_u17916), _u17918, c_Groups_Ozero__class_Ozero(_u17916)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_foldl__foldr1 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_foldl__foldr1-1, axiom, ( ~class_Groups_Omonoid__add(_u17919) | ( hAPP(c_List_Ofoldl(_u17919, _u17919, c_Groups_Oplus__class_Oplus(_u17919), c_Groups_Ozero__class_Ozero(_u17919)), _u17920) = c_List_Ofoldr(_u17919, _u17919, c_Groups_Oplus__class_Oplus(_u17919), _u17920, c_Groups_Ozero__class_Ozero(_u17919))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_length__transpose ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_length__transpose-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17921))), c_List_Otranspose(_u17921, _u17922)) = c_List_Ofoldr(tc_List_Olist(_u17921), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17921)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17921))), _u17922, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sublist__def ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_sublist__def-1, axiom, ( ( c_List_Osublist(_u17923, _u17924, _u17925) = hAPP(hAPP(c_List_Omap(tc_prod(_u17923, tc_Nat_Onat), _u17923), c_Product__Type_Ofst(_u17923, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u17923, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u17923, 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(_u17923, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u17923, tc_Nat_Onat))), _u17925)), hAPP(hAPP(c_List_Ozip(_u17923, tc_Nat_Onat), _u17924), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17923)), _u17924)))))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sublist__shift__lemma ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_sublist__shift__lemma-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u17926, tc_Nat_Onat), _u17926), c_Product__Type_Ofst(_u17926, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u17926, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u17926, 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(_u17926, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u17926, tc_Nat_Onat))), _u17927)), hAPP(hAPP(c_List_Ozip(_u17926, tc_Nat_Onat), _u17928), c_List_Oupt(_u17929, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17929), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17926)), _u17928)))))) = hAPP(hAPP(c_List_Omap(tc_prod(_u17926, tc_Nat_Onat), _u17926), c_Product__Type_Ofst(_u17926, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u17926, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u17926, 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(_u17926, tc_Nat_Onat)), c_member(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u17926, 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(_u17926, tc_Nat_Onat)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Product__Type_Osnd(_u17926, tc_Nat_Onat))), _u17929))), _u17927)), hAPP(hAPP(c_List_Ozip(_u17926, tc_Nat_Onat), _u17928), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17926)), _u17928)))))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_set__upt ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_set__upt-1, axiom, ( ( hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u17930, _u17931)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u17930), _u17931)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_atLeastLessThan__upt ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_atLeastLessThan__upt-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u17932), _u17933) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u17932, _u17933))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_upt__0 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_upt__0-1, axiom, ( ( c_List_Oupt(_u17934, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_upt__eq__Nil__conv ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_upt__eq__Nil__conv-1, axiom, ( ( c_List_Oupt(_u17937, _u17939) != c_List_Olist_ONil(tc_Nat_Onat)) | ( _u17939 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17939), _u17937)) )).
% 12.54/12.74 cnf(fact_upt__eq__Nil__conv-2, axiom, ( ( c_List_Oupt(_u17938, _u17940) = c_List_Olist_ONil(tc_Nat_Onat)) | ( _u17940 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.74 cnf(fact_upt__eq__Nil__conv-3, axiom, ( ( c_List_Oupt(_u17938, _u17940) = c_List_Olist_ONil(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17940), _u17938)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_upt__conv__Nil ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_upt__conv__Nil-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17941), _u17942)) | ( c_List_Oupt(_u17942, _u17941) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_upt__conv__Cons ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_upt__conv__Cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17943), _u17944)) | ( c_List_Oupt(_u17943, _u17944) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17943), c_List_Oupt(hAPP(c_Nat_OSuc, _u17943), _u17944))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_upt__rec ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_upt__rec-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17947), _u17949)) | ( c_List_Oupt(_u17947, _u17949) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17947), c_List_Oupt(hAPP(c_Nat_OSuc, _u17947), _u17949))) )).
% 12.54/12.74 cnf(fact_upt__rec-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17948), _u17950)) | ( c_List_Oupt(_u17948, _u17950) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_upt__add__eq__append ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_upt__add__eq__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17951), _u17952)) | ( c_List_Oupt(_u17951, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17952), _u17953)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u17951, _u17952)), c_List_Oupt(_u17952, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17952), _u17953)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_upt__Suc ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_upt__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17956), _u17958)) | ( c_List_Oupt(_u17956, hAPP(c_Nat_OSuc, _u17958)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u17956, _u17958)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17958), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 12.54/12.74 cnf(fact_upt__Suc-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17957), _u17959)) | ( c_List_Oupt(_u17957, hAPP(c_Nat_OSuc, _u17959)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_upt__Suc__append ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_upt__Suc__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17960), _u17961)) | ( c_List_Oupt(_u17960, hAPP(c_Nat_OSuc, _u17961)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u17960, _u17961)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17961), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_drop__upt ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_drop__upt-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(tc_Nat_Onat), _u17962), c_List_Oupt(_u17963, _u17964)) = c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17963), _u17962), _u17964)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_hd__upt ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_hd__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17965), _u17966)) | ( hAPP(c_List_Ohd(tc_Nat_Onat), c_List_Oupt(_u17965, _u17966)) = _u17965) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sorted__list__of__set__range ( axiom ) converted to clauses:
% 12.54/12.74 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, _u17967), _u17968)) = c_List_Oupt(_u17967, _u17968)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_take__upt ( axiom ) converted to clauses:
% 12.54/12.74 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), _u17969), _u17970)), _u17971)) | ( hAPP(hAPP(c_List_Otake(tc_Nat_Onat), _u17970), c_List_Oupt(_u17969, _u17971)) = c_List_Oupt(_u17969, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17969), _u17970))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_distinct__upt ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_distinct__upt-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat), c_List_Oupt(_u17972, _u17973))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_length__upt ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_length__upt-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), c_List_Oupt(_u17974, _u17975)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17975), _u17974)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_upt__rec__number__of ( axiom ) converted to clauses:
% 12.54/12.74 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), _u17978)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17980))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17978), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17980)) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17978)), c_List_Oupt(hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17978)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17980)))) )).
% 12.54/12.74 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), _u17979)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17981))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17979), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17981)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_upt__eq__Cons__conv ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_upt__eq__Cons__conv-1, axiom, ( ( c_List_Oupt(_u17986, _u17988) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17990), _u17992)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17986), _u17988)) )).
% 12.54/12.74 cnf(fact_upt__eq__Cons__conv-2, axiom, ( ( c_List_Oupt(_u17986, _u17988) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17990), _u17992)) | ( _u17986 = _u17990) )).
% 12.54/12.74 cnf(fact_upt__eq__Cons__conv-3, axiom, ( ( c_List_Oupt(_u17986, _u17988) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17990), _u17992)) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17986), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u17988) = _u17992) )).
% 12.54/12.74 cnf(fact_upt__eq__Cons__conv-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17987), _u17989)) | ( _u17987 != _u17991) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17987), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u17989) != _u17993) | ( c_List_Oupt(_u17987, _u17989) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17991), _u17993)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_last__upt ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_last__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17994), _u17995)) | ( c_List_Olast(tc_Nat_Onat, c_List_Oupt(_u17994, _u17995)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17995), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_map__Suc__upt ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_map__Suc__upt-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), c_List_Oupt(_u17996, _u17997)) = c_List_Oupt(hAPP(c_Nat_OSuc, _u17996), hAPP(c_Nat_OSuc, _u17997))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_atLeastAtMost__upt ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_atLeastAtMost__upt-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u17998, _u17999) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u17998, hAPP(c_Nat_OSuc, _u17999)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_atLeast__upt ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_atLeast__upt-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u18000) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18000))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_nth__upt ( axiom ) converted to clauses:
% 12.54/12.74 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), _u18001), _u18002)), _u18003)) | ( hAPP(hAPP(c_List_Onth(tc_Nat_Onat), c_List_Oupt(_u18001, _u18003)), _u18002) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18001), _u18002)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_greaterThanAtMost__upt ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_greaterThanAtMost__upt-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u18004, _u18005) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u18004), hAPP(c_Nat_OSuc, _u18005)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_greaterThanLessThan__upt ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_greaterThanLessThan__upt-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u18006, _u18007) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u18006), _u18007))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_atMost__upto ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_atMost__upto-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u18008) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u18008)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_map__nth ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_map__nth-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18009), hAPP(c_List_Onth(_u18009), _u18010)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18009)), _u18010))) = _u18010) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_interv__listsum__conv__setsum__set__nat ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_interv__listsum__conv__setsum__set__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18011) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18011), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18011), _u18012), c_List_Oupt(_u18013, _u18014))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u18011), _u18012), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18013, _u18014)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_setsum__set__upt__conv__listsum__nat ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_setsum__set__upt__conv__listsum__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18015) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u18015), _u18016), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18017, _u18018))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18015), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18015), _u18016), c_List_Oupt(_u18017, _u18018)))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_nth__map__upt ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_nth__map__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18019), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18020), _u18021))) | ( hAPP(hAPP(c_List_Onth(_u18022), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18022), _u18023), c_List_Oupt(_u18021, _u18020))), _u18019) = hAPP(_u18023, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18021), _u18019))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_transpose__rectangle ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_transpose__rectangle-1, axiom, ( ( _u18025 = c_List_Olist_ONil(tc_List_Olist(_u18026))) | ( c_List_Otranspose(_u18026, _u18025) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18026)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18026)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18026), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18026)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18026)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18026), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18026), tc_fun(tc_Nat_Onat, _u18026), tc_Nat_Onat), c_List_Onth(_u18026)), hAPP(c_List_Onth(tc_List_Olist(_u18026)), _u18025))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18026))), _u18025)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18027))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem463(_u18027, _u18026, _u18025)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18026))), _u18025))) )).
% 12.54/12.74 cnf(fact_transpose__rectangle-2, axiom, ( ( _u18025 = c_List_Olist_ONil(tc_List_Olist(_u18026))) | ( c_List_Otranspose(_u18026, _u18025) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18026)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18026)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18026), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18026)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18026)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18026), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18026), tc_fun(tc_Nat_Onat, _u18026), tc_Nat_Onat), c_List_Onth(_u18026)), hAPP(c_List_Onth(tc_List_Olist(_u18026)), _u18025))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18026))), _u18025)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18027))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18026)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18026)), _u18025), skolem463(_u18027, _u18026, _u18025))) != _u18027) )).
% 12.54/12.74 cnf(fact_transpose__rectangle-3, axiom, ( ( _u18027 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u18026, _u18025) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18026)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18026)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18026), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18026)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18026)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18026), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18026), tc_fun(tc_Nat_Onat, _u18026), tc_Nat_Onat), c_List_Onth(_u18026)), hAPP(c_List_Onth(tc_List_Olist(_u18026)), _u18025))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18026))), _u18025)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18027))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem463(_u18027, _u18026, _u18025)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18026))), _u18025))) )).
% 12.54/12.74 cnf(fact_transpose__rectangle-4, axiom, ( ( _u18027 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u18026, _u18025) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18026)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18026)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18026), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18026)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18026)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18026), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18026), tc_fun(tc_Nat_Onat, _u18026), tc_Nat_Onat), c_List_Onth(_u18026)), hAPP(c_List_Onth(tc_List_Olist(_u18026)), _u18025))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18026))), _u18025)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18027))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18026)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18026)), _u18025), skolem463(_u18027, _u18026, _u18025))) != _u18027) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_insort__key__remove1 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_insort__key__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u18028) | ~hBOOL(hAPP(hAPP(c_member(_u18029), _u18030), hAPP(c_List_Oset(_u18029), _u18031))) | ~c_List_Olinorder__class_Osorted(_u18028, hAPP(hAPP(c_List_Omap(_u18029, _u18028), _u18032), _u18031)) | ( hAPP(c_List_Ohd(_u18029), hAPP(c_List_Ofilter(_u18029, hAPP(hAPP(c_COMBB(_u18028, tc_HOL_Obool, _u18029), hAPP(c_fequal, hAPP(_u18032, _u18030))), _u18032)), _u18031)) != _u18030) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18029, _u18028, _u18032), _u18030), c_List_Oremove1(_u18029, _u18030, _u18031)) = _u18031) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sorted_ONil ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_sorted_ONil-1, axiom, ( ~class_Orderings_Olinorder(_u18033) | c_List_Olinorder__class_Osorted(_u18033, c_List_Olist_ONil(_u18033)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sorted__single ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_sorted__single-1, axiom, ( ~class_Orderings_Olinorder(_u18034) | c_List_Olinorder__class_Osorted(_u18034, hAPP(hAPP(c_List_Olist_OCons(_u18034), _u18035), c_List_Olist_ONil(_u18034))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sorted__upt ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_sorted__upt-1, axiom, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, c_List_Oupt(_u18036, _u18037)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sorted__sort ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_sorted__sort-1, axiom, ( ~class_Orderings_Olinorder(_u18038) | c_List_Olinorder__class_Osorted(_u18038, c_List_Olinorder__class_Osort__key(_u18038, _u18038, c_COMBI(_u18038), _u18039)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sorted__insort__insert ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_sorted__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u18040) | ~c_List_Olinorder__class_Osorted(_u18040, _u18041) | c_List_Olinorder__class_Osorted(_u18040, c_List_Olinorder__class_Oinsort__insert__key(_u18040, _u18040, c_COMBI(_u18040), _u18042, _u18041)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sorted__tl ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_sorted__tl-1, axiom, ( ~class_Orderings_Olinorder(_u18043) | ~c_List_Olinorder__class_Osorted(_u18043, _u18044) | c_List_Olinorder__class_Osorted(_u18043, hAPP(c_List_Otl(_u18043), _u18044)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sorted__remove1 ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_sorted__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u18045) | ~c_List_Olinorder__class_Osorted(_u18045, _u18046) | c_List_Olinorder__class_Osorted(_u18045, c_List_Oremove1(_u18045, _u18047, _u18046)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sorted__take ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_sorted__take-1, axiom, ( ~class_Orderings_Olinorder(_u18048) | ~c_List_Olinorder__class_Osorted(_u18048, _u18049) | c_List_Olinorder__class_Osorted(_u18048, hAPP(hAPP(c_List_Otake(_u18048), _u18050), _u18049)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sorted__upto ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_sorted__upto-1, axiom, ( c_List_Olinorder__class_Osorted(tc_Int_Oint, c_List_Oupto(_u18051, _u18052)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sorted__drop ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_sorted__drop-1, axiom, ( ~class_Orderings_Olinorder(_u18053) | ~c_List_Olinorder__class_Osorted(_u18053, _u18054) | c_List_Olinorder__class_Osorted(_u18053, hAPP(hAPP(c_List_Odrop(_u18053), _u18055), _u18054)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sorted__insort ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_sorted__insort-1, axiom, ( ~class_Orderings_Olinorder(_u18056) | ~c_List_Olinorder__class_Osorted(_u18056, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18056, _u18056, c_COMBI(_u18056)), _u18057), _u18058)) | c_List_Olinorder__class_Osorted(_u18056, _u18058) )).
% 12.54/12.74 cnf(fact_sorted__insort-2, axiom, ( ~class_Orderings_Olinorder(_u18056) | ~c_List_Olinorder__class_Osorted(_u18056, _u18058) | c_List_Olinorder__class_Osorted(_u18056, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18056, _u18056, c_COMBI(_u18056)), _u18057), _u18058)) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sorted__many ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_sorted__many-1, axiom, ( ~class_Orderings_Olinorder(_u18059) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18059), _u18060), _u18061)) | ~c_List_Olinorder__class_Osorted(_u18059, hAPP(hAPP(c_List_Olist_OCons(_u18059), _u18061), _u18062)) | c_List_Olinorder__class_Osorted(_u18059, hAPP(hAPP(c_List_Olist_OCons(_u18059), _u18060), hAPP(hAPP(c_List_Olist_OCons(_u18059), _u18061), _u18062))) )).
% 12.54/12.74
% 12.54/12.74 % Formula: fact_sorted__many__eq ( axiom ) converted to clauses:
% 12.54/12.74 cnf(fact_sorted__many__eq-1, axiom, ( ~class_Orderings_Olinorder(_u18063) | ~c_List_Olinorder__class_Osorted(_u18063, hAPP(hAPP(c_List_Olist_OCons(_u18063), _u18064), hAPP(hAPP(c_List_Olist_OCons(_u18063), _u18065), _u18066))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18063), _u18064), _u18065)) )).
% 12.54/12.75 cnf(fact_sorted__many__eq-2, axiom, ( ~class_Orderings_Olinorder(_u18063) | ~c_List_Olinorder__class_Osorted(_u18063, hAPP(hAPP(c_List_Olist_OCons(_u18063), _u18064), hAPP(hAPP(c_List_Olist_OCons(_u18063), _u18065), _u18066))) | c_List_Olinorder__class_Osorted(_u18063, hAPP(hAPP(c_List_Olist_OCons(_u18063), _u18065), _u18066)) )).
% 12.54/12.75 cnf(fact_sorted__many__eq-3, axiom, ( ~class_Orderings_Olinorder(_u18063) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18063), _u18064), _u18065)) | ~c_List_Olinorder__class_Osorted(_u18063, hAPP(hAPP(c_List_Olist_OCons(_u18063), _u18065), _u18066)) | c_List_Olinorder__class_Osorted(_u18063, hAPP(hAPP(c_List_Olist_OCons(_u18063), _u18064), hAPP(hAPP(c_List_Olist_OCons(_u18063), _u18065), _u18066))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sorted_Oequations_I1_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sorted_Oequations_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u18067) | c_List_Olinorder__class_Osorted(_u18067, c_List_Olist_ONil(_u18067)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sorted__butlast ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sorted__butlast-1, axiom, ( ~class_Orderings_Olinorder(_u18068) | ( _u18069 = c_List_Olist_ONil(_u18068)) | ~c_List_Olinorder__class_Osorted(_u18068, _u18069) | c_List_Olinorder__class_Osorted(_u18068, c_List_Obutlast(_u18068, _u18069)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sorted__remdups ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sorted__remdups-1, axiom, ( ~class_Orderings_Olinorder(_u18070) | ~c_List_Olinorder__class_Osorted(_u18070, _u18071) | c_List_Olinorder__class_Osorted(_u18070, c_List_Oremdups(_u18070, _u18071)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sorted__distinct__set__unique ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sorted__distinct__set__unique-1, axiom, ( ~class_Orderings_Olinorder(_u18072) | ~c_List_Olinorder__class_Osorted(_u18072, _u18073) | ~hBOOL(hAPP(c_List_Odistinct(_u18072), _u18073)) | ~c_List_Olinorder__class_Osorted(_u18072, _u18074) | ~hBOOL(hAPP(c_List_Odistinct(_u18072), _u18074)) | ( hAPP(c_List_Oset(_u18072), _u18073) != hAPP(c_List_Oset(_u18072), _u18074)) | ( _u18073 = _u18074) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sorted__sort__key ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sorted__sort__key-1, axiom, ( ~class_Orderings_Olinorder(_u18075) | c_List_Olinorder__class_Osorted(_u18075, hAPP(hAPP(c_List_Omap(_u18076, _u18075), _u18077), c_List_Olinorder__class_Osort__key(_u18076, _u18075, _u18077, _u18078))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sorted__insort__insert__key ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sorted__insort__insert__key-1, axiom, ( ~class_Orderings_Olinorder(_u18079) | ~c_List_Olinorder__class_Osorted(_u18079, hAPP(hAPP(c_List_Omap(_u18080, _u18079), _u18081), _u18082)) | c_List_Olinorder__class_Osorted(_u18079, hAPP(hAPP(c_List_Omap(_u18080, _u18079), _u18081), c_List_Olinorder__class_Oinsort__insert__key(_u18080, _u18079, _u18081, _u18083, _u18082))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sorted__map__remove1 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sorted__map__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u18084) | ~c_List_Olinorder__class_Osorted(_u18084, hAPP(hAPP(c_List_Omap(_u18085, _u18084), _u18086), _u18087)) | c_List_Olinorder__class_Osorted(_u18084, hAPP(hAPP(c_List_Omap(_u18085, _u18084), _u18086), c_List_Oremove1(_u18085, _u18088, _u18087))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sorted__insort__key ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sorted__insort__key-1, axiom, ( ~class_Orderings_Olinorder(_u18089) | ~c_List_Olinorder__class_Osorted(_u18089, hAPP(hAPP(c_List_Omap(_u18090, _u18089), _u18091), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18090, _u18089, _u18091), _u18092), _u18093))) | c_List_Olinorder__class_Osorted(_u18089, hAPP(hAPP(c_List_Omap(_u18090, _u18089), _u18091), _u18093)) )).
% 12.54/12.75 cnf(fact_sorted__insort__key-2, axiom, ( ~class_Orderings_Olinorder(_u18089) | ~c_List_Olinorder__class_Osorted(_u18089, hAPP(hAPP(c_List_Omap(_u18090, _u18089), _u18091), _u18093)) | c_List_Olinorder__class_Osorted(_u18089, hAPP(hAPP(c_List_Omap(_u18090, _u18089), _u18091), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18090, _u18089, _u18091), _u18092), _u18093))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sorted__map__same ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sorted__map__same-1, axiom, ( ~class_Orderings_Olinorder(_u18094) | c_List_Olinorder__class_Osorted(_u18094, hAPP(hAPP(c_List_Omap(_u18095, _u18094), _u18096), hAPP(c_List_Ofilter(_u18095, hAPP(hAPP(c_COMBC(_u18095, _u18094, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18094, tc_fun(_u18094, tc_HOL_Obool), _u18095), c_fequal), _u18096)), hAPP(_u18097, _u18098))), _u18098))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sorted__filter ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sorted__filter-1, axiom, ( ~class_Orderings_Olinorder(_u18099) | ~c_List_Olinorder__class_Osorted(_u18099, hAPP(hAPP(c_List_Omap(_u18100, _u18099), _u18101), _u18102)) | c_List_Olinorder__class_Osorted(_u18099, hAPP(hAPP(c_List_Omap(_u18100, _u18099), _u18101), hAPP(c_List_Ofilter(_u18100, _u18103), _u18102))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sorted__same ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sorted__same-1, axiom, ( ~class_Orderings_Olinorder(_u18104) | c_List_Olinorder__class_Osorted(_u18104, hAPP(c_List_Ofilter(_u18104, hAPP(hAPP(c_COMBC(_u18104, _u18104, tc_HOL_Obool), c_fequal), hAPP(_u18105, _u18106))), _u18106)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sorted__Cons ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sorted__Cons-1, axiom, ( ~class_Orderings_Olinorder(_u18109) | ~c_List_Olinorder__class_Osorted(_u18109, hAPP(hAPP(c_List_Olist_OCons(_u18109), _u18110), _u18111)) | c_List_Olinorder__class_Osorted(_u18109, _u18111) )).
% 12.54/12.75 cnf(fact_sorted__Cons-2, axiom, ( ~class_Orderings_Olinorder(_u18109) | ~c_List_Olinorder__class_Osorted(_u18109, hAPP(hAPP(c_List_Olist_OCons(_u18109), _u18110), _u18111)) | ~hBOOL(hAPP(hAPP(c_member(_u18109), _u18107), hAPP(c_List_Oset(_u18109), _u18111))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18109), _u18110), _u18107)) )).
% 12.54/12.75 cnf(fact_sorted__Cons-3, axiom, ( ~class_Orderings_Olinorder(_u18109) | c_List_Olinorder__class_Osorted(_u18109, hAPP(hAPP(c_List_Olist_OCons(_u18109), _u18110), _u18111)) | ~c_List_Olinorder__class_Osorted(_u18109, _u18111) | hBOOL(hAPP(hAPP(c_member(_u18109), skolem464(_u18111, _u18110, _u18109)), hAPP(c_List_Oset(_u18109), _u18111))) )).
% 12.54/12.75 cnf(fact_sorted__Cons-4, axiom, ( ~class_Orderings_Olinorder(_u18109) | c_List_Olinorder__class_Osorted(_u18109, hAPP(hAPP(c_List_Olist_OCons(_u18109), _u18110), _u18111)) | ~c_List_Olinorder__class_Osorted(_u18109, _u18111) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18109), _u18110), skolem464(_u18111, _u18110, _u18109))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sorted__append ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sorted__append-1, axiom, ( ~class_Orderings_Olinorder(_u18116) | ~c_List_Olinorder__class_Osorted(_u18116, hAPP(hAPP(c_List_Oappend(_u18116), _u18117), _u18118)) | c_List_Olinorder__class_Osorted(_u18116, _u18117) )).
% 12.54/12.75 cnf(fact_sorted__append-2, axiom, ( ~class_Orderings_Olinorder(_u18116) | ~c_List_Olinorder__class_Osorted(_u18116, hAPP(hAPP(c_List_Oappend(_u18116), _u18117), _u18118)) | c_List_Olinorder__class_Osorted(_u18116, _u18118) )).
% 12.54/12.75 cnf(fact_sorted__append-3, axiom, ( ~class_Orderings_Olinorder(_u18116) | ~c_List_Olinorder__class_Osorted(_u18116, hAPP(hAPP(c_List_Oappend(_u18116), _u18117), _u18118)) | ~hBOOL(hAPP(hAPP(c_member(_u18116), _u18113), hAPP(c_List_Oset(_u18116), _u18117))) | ~hBOOL(hAPP(hAPP(c_member(_u18116), _u18112), hAPP(c_List_Oset(_u18116), _u18118))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18116), _u18113), _u18112)) )).
% 12.54/12.75 cnf(fact_sorted__append-4, axiom, ( ~class_Orderings_Olinorder(_u18116) | c_List_Olinorder__class_Osorted(_u18116, hAPP(hAPP(c_List_Oappend(_u18116), _u18117), _u18118)) | ~c_List_Olinorder__class_Osorted(_u18116, _u18117) | ~c_List_Olinorder__class_Osorted(_u18116, _u18118) | hBOOL(hAPP(hAPP(c_member(_u18116), skolem465(_u18118, _u18117, _u18116)), hAPP(c_List_Oset(_u18116), _u18117))) )).
% 12.54/12.75 cnf(fact_sorted__append-5, axiom, ( ~class_Orderings_Olinorder(_u18116) | c_List_Olinorder__class_Osorted(_u18116, hAPP(hAPP(c_List_Oappend(_u18116), _u18117), _u18118)) | ~c_List_Olinorder__class_Osorted(_u18116, _u18117) | ~c_List_Olinorder__class_Osorted(_u18116, _u18118) | hBOOL(hAPP(hAPP(c_member(_u18116), skolem466(_u18118, _u18117, _u18116)), hAPP(c_List_Oset(_u18116), _u18118))) )).
% 12.54/12.75 cnf(fact_sorted__append-6, axiom, ( ~class_Orderings_Olinorder(_u18116) | c_List_Olinorder__class_Osorted(_u18116, hAPP(hAPP(c_List_Oappend(_u18116), _u18117), _u18118)) | ~c_List_Olinorder__class_Osorted(_u18116, _u18117) | ~c_List_Olinorder__class_Osorted(_u18116, _u18118) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18116), skolem465(_u18118, _u18117, _u18116)), skolem466(_u18118, _u18117, _u18116))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_filter__insort ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_filter__insort-1, axiom, ( ~class_Orderings_Olinorder(_u18119) | ~c_List_Olinorder__class_Osorted(_u18119, hAPP(hAPP(c_List_Omap(_u18120, _u18119), _u18121), _u18122)) | ~hBOOL(hAPP(_u18123, _u18124)) | ( hAPP(c_List_Ofilter(_u18120, _u18123), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18120, _u18119, _u18121), _u18124), _u18122)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18120, _u18119, _u18121), _u18124), hAPP(c_List_Ofilter(_u18120, _u18123), _u18122))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sorted_Oequations_I2_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sorted_Oequations_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u18127) | ~c_List_Olinorder__class_Osorted(_u18127, hAPP(hAPP(c_List_Olist_OCons(_u18127), _u18128), _u18129)) | ~hBOOL(hAPP(hAPP(c_member(_u18127), _u18125), hAPP(c_List_Oset(_u18127), _u18129))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18127), _u18128), _u18125)) )).
% 12.54/12.75 cnf(fact_sorted_Oequations_I2_J-2, axiom, ( ~class_Orderings_Olinorder(_u18127) | ~c_List_Olinorder__class_Osorted(_u18127, hAPP(hAPP(c_List_Olist_OCons(_u18127), _u18128), _u18129)) | c_List_Olinorder__class_Osorted(_u18127, _u18129) )).
% 12.54/12.75 cnf(fact_sorted_Oequations_I2_J-3, axiom, ( ~class_Orderings_Olinorder(_u18127) | c_List_Olinorder__class_Osorted(_u18127, hAPP(hAPP(c_List_Olist_OCons(_u18127), _u18128), _u18129)) | ~c_List_Olinorder__class_Osorted(_u18127, _u18129) | hBOOL(hAPP(hAPP(c_member(_u18127), skolem467(_u18129, _u18128, _u18127)), hAPP(c_List_Oset(_u18127), _u18129))) )).
% 12.54/12.75 cnf(fact_sorted_Oequations_I2_J-4, axiom, ( ~class_Orderings_Olinorder(_u18127) | c_List_Olinorder__class_Osorted(_u18127, hAPP(hAPP(c_List_Olist_OCons(_u18127), _u18128), _u18129)) | ~c_List_Olinorder__class_Osorted(_u18127, _u18129) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18127), _u18128), skolem467(_u18129, _u18128, _u18127))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sorted__list__of__set ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sorted__list__of__set-1, axiom, ( ~class_Orderings_Olinorder(_u18130) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18130), _u18131)) | ( hAPP(c_List_Oset(_u18130), c_List_Olinorder__class_Osorted__list__of__set(_u18130, _u18131)) = _u18131) )).
% 12.54/12.75 cnf(fact_sorted__list__of__set-2, axiom, ( ~class_Orderings_Olinorder(_u18130) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18130), _u18131)) | c_List_Olinorder__class_Osorted(_u18130, c_List_Olinorder__class_Osorted__list__of__set(_u18130, _u18131)) )).
% 12.54/12.75 cnf(fact_sorted__list__of__set-3, axiom, ( ~class_Orderings_Olinorder(_u18130) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18130), _u18131)) | hBOOL(hAPP(c_List_Odistinct(_u18130), c_List_Olinorder__class_Osorted__list__of__set(_u18130, _u18131))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_insort__remove1 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_insort__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u18132) | ~hBOOL(hAPP(hAPP(c_member(_u18132), _u18133), hAPP(c_List_Oset(_u18132), _u18134))) | ~c_List_Olinorder__class_Osorted(_u18132, _u18134) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18132, _u18132, c_COMBI(_u18132)), _u18133), c_List_Oremove1(_u18132, _u18133, _u18134)) = _u18134) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sorted__equals__nth__mono ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sorted__equals__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u18139) | ~c_List_Olinorder__class_Osorted(_u18139, _u18140) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18136), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18139)), _u18140))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18135), _u18136)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18139), hAPP(hAPP(c_List_Onth(_u18139), _u18140), _u18135)), hAPP(hAPP(c_List_Onth(_u18139), _u18140), _u18136))) )).
% 12.54/12.75 cnf(fact_sorted__equals__nth__mono-2, axiom, ( ~class_Orderings_Olinorder(_u18139) | c_List_Olinorder__class_Osorted(_u18139, _u18140) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem468(_u18140, _u18139)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18139)), _u18140))) )).
% 12.54/12.75 cnf(fact_sorted__equals__nth__mono-3, axiom, ( ~class_Orderings_Olinorder(_u18139) | c_List_Olinorder__class_Osorted(_u18139, _u18140) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem469(_u18140, _u18139)), skolem468(_u18140, _u18139))) )).
% 12.54/12.75 cnf(fact_sorted__equals__nth__mono-4, axiom, ( ~class_Orderings_Olinorder(_u18139) | c_List_Olinorder__class_Osorted(_u18139, _u18140) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18139), hAPP(hAPP(c_List_Onth(_u18139), _u18140), skolem469(_u18140, _u18139))), hAPP(hAPP(c_List_Onth(_u18139), _u18140), skolem468(_u18140, _u18139)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sorted__nth__mono ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sorted__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u18141) | ~c_List_Olinorder__class_Osorted(_u18141, _u18142) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18143), _u18144)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18144), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18141)), _u18142))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18141), hAPP(hAPP(c_List_Onth(_u18141), _u18142), _u18143)), hAPP(hAPP(c_List_Onth(_u18141), _u18142), _u18144))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_map__sorted__distinct__set__unique ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_map__sorted__distinct__set__unique-1, axiom, ( ~class_Orderings_Olinorder(_u18145) | ~c_Fun_Oinj__on(_u18146, _u18145, _u18147, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18146, tc_HOL_Obool)), hAPP(c_List_Oset(_u18146), _u18148)), hAPP(c_List_Oset(_u18146), _u18149))) | ~c_List_Olinorder__class_Osorted(_u18145, hAPP(hAPP(c_List_Omap(_u18146, _u18145), _u18147), _u18148)) | ~hBOOL(hAPP(c_List_Odistinct(_u18145), hAPP(hAPP(c_List_Omap(_u18146, _u18145), _u18147), _u18148))) | ~c_List_Olinorder__class_Osorted(_u18145, hAPP(hAPP(c_List_Omap(_u18146, _u18145), _u18147), _u18149)) | ~hBOOL(hAPP(c_List_Odistinct(_u18145), hAPP(hAPP(c_List_Omap(_u18146, _u18145), _u18147), _u18149))) | ( hAPP(c_List_Oset(_u18146), _u18148) != hAPP(c_List_Oset(_u18146), _u18149)) | ( _u18148 = _u18149) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_transpose__column ( axiom ) converted to clauses:
% 12.54/12.75 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(_u18150), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18150))), _u18151))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18152), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18150))), _u18151))) | ( hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18150), _u18150), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18150), tc_Nat_Onat, _u18150), c_List_Onth(_u18150)), _u18152)), hAPP(c_List_Ofilter(tc_List_Olist(_u18150), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18150)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18152)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18150)))), c_List_Otranspose(_u18150, _u18151))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18150)), _u18151), _u18152)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_nth__nth__transpose__sorted ( axiom ) converted to clauses:
% 12.54/12.75 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(_u18153), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18153))), _u18154))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18155), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18153))), c_List_Otranspose(_u18153, _u18154)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18156), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18153))), hAPP(c_List_Ofilter(tc_List_Olist(_u18153), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18153)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18155)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18153)))), _u18154)))) | ( hAPP(hAPP(c_List_Onth(_u18153), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18153)), c_List_Otranspose(_u18153, _u18154)), _u18155)), _u18156) = hAPP(hAPP(c_List_Onth(_u18153), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18153)), _u18154), _u18156)), _u18155)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_inj__on__rev ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_inj__on__rev-1, axiom, ( c_Fun_Oinj__on(tc_List_Olist(_u18157), tc_List_Olist(_u18157), c_List_Orev(_u18157), _u18158) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_distinct__rev ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_distinct__rev-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18161), hAPP(c_List_Orev(_u18161), _u18163))) | hBOOL(hAPP(c_List_Odistinct(_u18161), _u18163)) )).
% 12.54/12.75 cnf(fact_distinct__rev-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18162), _u18164)) | hBOOL(hAPP(c_List_Odistinct(_u18162), hAPP(c_List_Orev(_u18162), _u18164))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_rev__append ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_rev__append-1, axiom, ( ( hAPP(c_List_Orev(_u18165), hAPP(hAPP(c_List_Oappend(_u18165), _u18166), _u18167)) = hAPP(hAPP(c_List_Oappend(_u18165), hAPP(c_List_Orev(_u18165), _u18167)), hAPP(c_List_Orev(_u18165), _u18166))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_rev__singleton__conv ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_rev__singleton__conv-1, axiom, ( ( hAPP(c_List_Orev(_u18171), _u18173) != hAPP(hAPP(c_List_Olist_OCons(_u18171), _u18175), c_List_Olist_ONil(_u18171))) | ( _u18173 = hAPP(hAPP(c_List_Olist_OCons(_u18171), _u18175), c_List_Olist_ONil(_u18171))) )).
% 12.54/12.75 cnf(fact_rev__singleton__conv-2, axiom, ( ( _u18174 != hAPP(hAPP(c_List_Olist_OCons(_u18172), _u18176), c_List_Olist_ONil(_u18172))) | ( hAPP(c_List_Orev(_u18172), _u18174) = hAPP(hAPP(c_List_Olist_OCons(_u18172), _u18176), c_List_Olist_ONil(_u18172))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_singleton__rev__conv ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_singleton__rev__conv-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18180), _u18182), c_List_Olist_ONil(_u18180)) != hAPP(c_List_Orev(_u18180), _u18184)) | ( _u18184 = hAPP(hAPP(c_List_Olist_OCons(_u18180), _u18182), c_List_Olist_ONil(_u18180))) )).
% 12.54/12.75 cnf(fact_singleton__rev__conv-2, axiom, ( ( _u18185 != hAPP(hAPP(c_List_Olist_OCons(_u18181), _u18183), c_List_Olist_ONil(_u18181))) | ( hAPP(hAPP(c_List_Olist_OCons(_u18181), _u18183), c_List_Olist_ONil(_u18181)) = hAPP(c_List_Orev(_u18181), _u18185)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_rev_Osimps_I1_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_rev_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Orev(_u18186), c_List_Olist_ONil(_u18186)) = c_List_Olist_ONil(_u18186)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_Nil__is__rev__conv ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_Nil__is__rev__conv-1, axiom, ( ( c_List_Olist_ONil(_u18189) != hAPP(c_List_Orev(_u18189), _u18191)) | ( _u18191 = c_List_Olist_ONil(_u18189)) )).
% 12.54/12.75 cnf(fact_Nil__is__rev__conv-2, axiom, ( ( _u18192 != c_List_Olist_ONil(_u18190)) | ( c_List_Olist_ONil(_u18190) = hAPP(c_List_Orev(_u18190), _u18192)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_rev__is__Nil__conv ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_rev__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orev(_u18195), _u18197) != c_List_Olist_ONil(_u18195)) | ( _u18197 = c_List_Olist_ONil(_u18195)) )).
% 12.54/12.75 cnf(fact_rev__is__Nil__conv-2, axiom, ( ( _u18198 != c_List_Olist_ONil(_u18196)) | ( hAPP(c_List_Orev(_u18196), _u18198) = c_List_Olist_ONil(_u18196)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_rev__concat ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_rev__concat-1, axiom, ( ( hAPP(c_List_Orev(_u18199), c_List_Oconcat(_u18199, _u18200)) = c_List_Oconcat(_u18199, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18199), tc_List_Olist(_u18199)), c_List_Orev(_u18199)), hAPP(c_List_Orev(tc_List_Olist(_u18199)), _u18200)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_rev__map ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_rev__map-1, axiom, ( ( hAPP(c_List_Orev(_u18201), hAPP(hAPP(c_List_Omap(_u18202, _u18201), _u18203), _u18204)) = hAPP(hAPP(c_List_Omap(_u18202, _u18201), _u18203), hAPP(c_List_Orev(_u18202), _u18204))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_rev__filter ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_rev__filter-1, axiom, ( ( hAPP(c_List_Orev(_u18205), hAPP(c_List_Ofilter(_u18205, _u18206), _u18207)) = hAPP(c_List_Ofilter(_u18205, _u18206), hAPP(c_List_Orev(_u18205), _u18207))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_zip__rev ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_zip__rev-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18208)), _u18209) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18210)), _u18211)) | ( hAPP(hAPP(c_List_Ozip(_u18208, _u18210), hAPP(c_List_Orev(_u18208), _u18209)), hAPP(c_List_Orev(_u18210), _u18211)) = hAPP(c_List_Orev(tc_prod(_u18208, _u18210)), hAPP(hAPP(c_List_Ozip(_u18208, _u18210), _u18209), _u18211))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_set__rev ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_set__rev-1, axiom, ( ( hAPP(c_List_Oset(_u18212), hAPP(c_List_Orev(_u18212), _u18213)) = hAPP(c_List_Oset(_u18212), _u18213)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_list__all2__rev1 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_list__all2__rev1-1, axiom, ( ~c_List_Olist__all2(_u18219, _u18221, _u18223, hAPP(c_List_Orev(_u18219), _u18225), _u18227) | c_List_Olist__all2(_u18219, _u18221, _u18223, _u18225, hAPP(c_List_Orev(_u18221), _u18227)) )).
% 12.54/12.75 cnf(fact_list__all2__rev1-2, axiom, ( ~c_List_Olist__all2(_u18220, _u18222, _u18224, _u18226, hAPP(c_List_Orev(_u18222), _u18228)) | c_List_Olist__all2(_u18220, _u18222, _u18224, hAPP(c_List_Orev(_u18220), _u18226), _u18228) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_list__all2__rev ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_list__all2__rev-1, axiom, ( ~c_List_Olist__all2(_u18234, _u18236, _u18238, hAPP(c_List_Orev(_u18234), _u18240), hAPP(c_List_Orev(_u18236), _u18242)) | c_List_Olist__all2(_u18234, _u18236, _u18238, _u18240, _u18242) )).
% 12.54/12.75 cnf(fact_list__all2__rev-2, axiom, ( ~c_List_Olist__all2(_u18235, _u18237, _u18239, _u18241, _u18243) | c_List_Olist__all2(_u18235, _u18237, _u18239, hAPP(c_List_Orev(_u18235), _u18241), hAPP(c_List_Orev(_u18237), _u18243)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_rev__is__rev__conv ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_rev__is__rev__conv-1, axiom, ( ( _u18249 = _u18251) | ( hAPP(c_List_Orev(_u18247), _u18249) != hAPP(c_List_Orev(_u18247), _u18251)) )).
% 12.54/12.75 cnf(fact_rev__is__rev__conv-2, axiom, ( ( _u18250 != _u18252) | ( hAPP(c_List_Orev(_u18248), _u18250) = hAPP(c_List_Orev(_u18248), _u18252)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_rev__swap ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_rev__swap-1, axiom, ( ( hAPP(c_List_Orev(_u18256), _u18258) != _u18260) | ( _u18258 = hAPP(c_List_Orev(_u18256), _u18260)) )).
% 12.54/12.75 cnf(fact_rev__swap-2, axiom, ( ( _u18259 != hAPP(c_List_Orev(_u18257), _u18261)) | ( hAPP(c_List_Orev(_u18257), _u18259) = _u18261) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_rev__rev__ident ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_rev__rev__ident-1, axiom, ( ( hAPP(c_List_Orev(_u18262), hAPP(c_List_Orev(_u18262), _u18263)) = _u18263) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_listsum__rev ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_listsum__rev-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18264) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18264), hAPP(c_List_Orev(_u18264), _u18265)) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18264), _u18265)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_length__rev ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_length__rev-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18266)), hAPP(c_List_Orev(_u18266), _u18267)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18266)), _u18267)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_foldr__foldl ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_foldr__foldl-1, axiom, ( ( c_List_Ofoldr(_u18268, _u18269, _u18270, _u18271, _u18272) = hAPP(c_List_Ofoldl(_u18269, _u18268, hAPP(c_COMBC(_u18268, _u18269, _u18269), _u18270), _u18272), hAPP(c_List_Orev(_u18268), _u18271))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_foldl__foldr ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_foldl__foldr-1, axiom, ( ( hAPP(c_List_Ofoldl(_u18273, _u18274, _u18275, _u18276), _u18277) = c_List_Ofoldr(_u18274, _u18273, hAPP(c_COMBC(_u18273, _u18274, _u18273), _u18275), hAPP(c_List_Orev(_u18274), _u18277), _u18276)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_rev_Osimps_I2_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_rev_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Orev(_u18278), hAPP(hAPP(c_List_Olist_OCons(_u18278), _u18279), _u18280)) = hAPP(hAPP(c_List_Oappend(_u18278), hAPP(c_List_Orev(_u18278), _u18280)), hAPP(hAPP(c_List_Olist_OCons(_u18278), _u18279), c_List_Olist_ONil(_u18278)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_rev__eq__Cons__iff ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_rev__eq__Cons__iff-1, axiom, ( ( hAPP(c_List_Orev(_u18285), _u18287) != hAPP(hAPP(c_List_Olist_OCons(_u18285), _u18289), _u18291)) | ( _u18287 = hAPP(hAPP(c_List_Oappend(_u18285), hAPP(c_List_Orev(_u18285), _u18291)), hAPP(hAPP(c_List_Olist_OCons(_u18285), _u18289), c_List_Olist_ONil(_u18285)))) )).
% 12.54/12.75 cnf(fact_rev__eq__Cons__iff-2, axiom, ( ( _u18288 != hAPP(hAPP(c_List_Oappend(_u18286), hAPP(c_List_Orev(_u18286), _u18292)), hAPP(hAPP(c_List_Olist_OCons(_u18286), _u18290), c_List_Olist_ONil(_u18286)))) | ( hAPP(c_List_Orev(_u18286), _u18288) = hAPP(hAPP(c_List_Olist_OCons(_u18286), _u18290), _u18292)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_last__rev ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_last__rev-1, axiom, ( ( _u18293 = c_List_Olist_ONil(_u18294)) | ( c_List_Olast(_u18294, hAPP(c_List_Orev(_u18294), _u18293)) = hAPP(c_List_Ohd(_u18294), _u18293)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_hd__rev ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_hd__rev-1, axiom, ( ( _u18295 = c_List_Olist_ONil(_u18296)) | ( hAPP(c_List_Ohd(_u18296), hAPP(c_List_Orev(_u18296), _u18295)) = c_List_Olast(_u18296, _u18295)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sorted__transpose ( axiom ) converted to clauses:
% 12.54/12.75 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(_u18297), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18297))), c_List_Otranspose(_u18297, _u18298)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_rev__foldl__cons ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_rev__foldl__cons-1, axiom, ( ( hAPP(c_List_Orev(_u18299), _u18300) = hAPP(c_List_Ofoldl(tc_List_Olist(_u18299), _u18299, hAPP(c_COMBC(_u18299, tc_List_Olist(_u18299), tc_List_Olist(_u18299)), c_List_Olist_OCons(_u18299)), c_List_Olist_ONil(_u18299)), _u18300)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_rev__take ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_rev__take-1, axiom, ( ( hAPP(c_List_Orev(_u18301), hAPP(hAPP(c_List_Otake(_u18301), _u18302), _u18303)) = hAPP(hAPP(c_List_Odrop(_u18301), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18301)), _u18303)), _u18302)), hAPP(c_List_Orev(_u18301), _u18303))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_rev__drop ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_rev__drop-1, axiom, ( ( hAPP(c_List_Orev(_u18304), hAPP(hAPP(c_List_Odrop(_u18304), _u18305), _u18306)) = hAPP(hAPP(c_List_Otake(_u18304), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18304)), _u18306)), _u18305)), hAPP(c_List_Orev(_u18304), _u18306))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_rotate__rev ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_rotate__rev-1, axiom, ( ( hAPP(c_List_Orotate(_u18307, _u18308), hAPP(c_List_Orev(_u18307), _u18309)) = hAPP(c_List_Orev(_u18307), hAPP(c_List_Orotate(_u18307, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18307)), _u18309)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u18308, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18307)), _u18309)))), _u18309))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_rev__nth ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_rev__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18310), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18311)), _u18312))) | ( hAPP(hAPP(c_List_Onth(_u18311), hAPP(c_List_Orev(_u18311), _u18312)), _u18310) = hAPP(hAPP(c_List_Onth(_u18311), _u18312), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18311)), _u18312)), hAPP(c_Nat_OSuc, _u18310)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_rev__update ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_rev__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18313), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18314)), _u18315))) | ( hAPP(c_List_Orev(_u18314), hAPP(hAPP(c_List_Olist__update(_u18314, _u18315), _u18313), _u18316)) = hAPP(hAPP(c_List_Olist__update(_u18314, hAPP(c_List_Orev(_u18314), _u18315)), 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(_u18314)), _u18315)), _u18313)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u18316)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sorted__rev__nth__mono ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sorted__rev__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u18317) | ~c_List_Olinorder__class_Osorted(_u18317, hAPP(c_List_Orev(_u18317), _u18318)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18319), _u18320)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18320), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18317)), _u18318))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18317), hAPP(hAPP(c_List_Onth(_u18317), _u18318), _u18320)), hAPP(hAPP(c_List_Onth(_u18317), _u18318), _u18319))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_foldr__max__sorted ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_foldr__max__sorted-1, axiom, ( ~class_Orderings_Olinorder(_u18321) | ~c_List_Olinorder__class_Osorted(_u18321, hAPP(c_List_Orev(_u18321), _u18322)) | ( _u18322 != c_List_Olist_ONil(_u18321)) | ( c_List_Ofoldr(_u18321, _u18321, c_Orderings_Oord__class_Omax(_u18321), _u18322, _u18323) = _u18323) )).
% 12.54/12.75 cnf(fact_foldr__max__sorted-2, axiom, ( ~class_Orderings_Olinorder(_u18321) | ~c_List_Olinorder__class_Osorted(_u18321, hAPP(c_List_Orev(_u18321), _u18322)) | ( _u18322 = c_List_Olist_ONil(_u18321)) | ( c_List_Ofoldr(_u18321, _u18321, c_Orderings_Oord__class_Omax(_u18321), _u18322, _u18323) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u18321), hAPP(hAPP(c_List_Onth(_u18321), _u18322), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u18323)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_length__transpose__sorted ( axiom ) converted to clauses:
% 12.54/12.75 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(_u18324), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18324))), _u18325))) | ( _u18325 != c_List_Olist_ONil(tc_List_Olist(_u18324))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18324))), c_List_Otranspose(_u18324, _u18325)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.75 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(_u18324), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18324))), _u18325))) | ( _u18325 = c_List_Olist_ONil(tc_List_Olist(_u18324))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18324))), c_List_Otranspose(_u18324, _u18325)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18324)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18324)), _u18325), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_transpose__column__length ( axiom ) converted to clauses:
% 12.54/12.75 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(_u18326), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18326))), _u18327))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18328), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18326))), _u18327))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18326))), hAPP(c_List_Ofilter(tc_List_Olist(_u18326), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18326)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18328)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18326)))), c_List_Otranspose(_u18326, _u18327))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18326)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18326)), _u18327), _u18328))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_transpose__transpose ( axiom ) converted to clauses:
% 12.54/12.75 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(_u18329), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18329))), _u18330))) | ( c_List_Otranspose(_u18329, c_List_Otranspose(_u18329, _u18330)) = c_List_OtakeWhile(tc_List_Olist(_u18329), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18329)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18329), tc_List_Olist(_u18329), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18329))), _u18330)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_transfer__nat__int__list__functions_I2_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_transfer__nat__int__list__functions_I2_J-1, axiom, ( ( c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sorted__takeWhile ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sorted__takeWhile-1, axiom, ( ~class_Orderings_Olinorder(_u18331) | ~c_List_Olinorder__class_Osorted(_u18331, _u18332) | c_List_Olinorder__class_Osorted(_u18331, c_List_OtakeWhile(_u18331, _u18333, _u18332)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_length__takeWhile__le ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_length__takeWhile__le-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18334)), c_List_OtakeWhile(_u18334, _u18335, _u18336))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18334)), _u18336))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_takeWhile__eq__all__conv ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_takeWhile__eq__all__conv-1, axiom, ( ( c_List_OtakeWhile(_u18342, _u18344, _u18346) != _u18346) | ~hBOOL(hAPP(hAPP(c_member(_u18342), _u18337), hAPP(c_List_Oset(_u18342), _u18346))) | hBOOL(hAPP(_u18344, _u18337)) )).
% 12.54/12.75 cnf(fact_takeWhile__eq__all__conv-2, axiom, ( ( c_List_OtakeWhile(_u18343, _u18345, _u18347) = _u18347) | hBOOL(hAPP(hAPP(c_member(_u18343), skolem470(_u18347, _u18345, _u18343)), hAPP(c_List_Oset(_u18343), _u18347))) )).
% 12.54/12.75 cnf(fact_takeWhile__eq__all__conv-3, axiom, ( ( c_List_OtakeWhile(_u18343, _u18345, _u18347) = _u18347) | ~hBOOL(hAPP(_u18345, skolem470(_u18347, _u18345, _u18343))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_set__takeWhileD ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_set__takeWhileD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18348), _u18349), hAPP(c_List_Oset(_u18348), c_List_OtakeWhile(_u18348, _u18350, _u18351)))) | hBOOL(hAPP(hAPP(c_member(_u18348), _u18349), hAPP(c_List_Oset(_u18348), _u18351))) )).
% 12.54/12.75 cnf(fact_set__takeWhileD-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18348), _u18349), hAPP(c_List_Oset(_u18348), c_List_OtakeWhile(_u18348, _u18350, _u18351)))) | hBOOL(hAPP(_u18350, _u18349)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_zip__takeWhile__fst ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_zip__takeWhile__fst-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u18352, _u18353), c_List_OtakeWhile(_u18352, _u18354, _u18355)), _u18356) = c_List_OtakeWhile(tc_prod(_u18352, _u18353), hAPP(c_Fun_Ocomp(_u18352, tc_HOL_Obool, tc_prod(_u18352, _u18353), _u18354), c_Product__Type_Ofst(_u18352, _u18353)), hAPP(hAPP(c_List_Ozip(_u18352, _u18353), _u18355), _u18356))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_zip__takeWhile__snd ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_zip__takeWhile__snd-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u18357, _u18358), _u18359), c_List_OtakeWhile(_u18358, _u18360, _u18361)) = c_List_OtakeWhile(tc_prod(_u18357, _u18358), hAPP(c_Fun_Ocomp(_u18358, tc_HOL_Obool, tc_prod(_u18357, _u18358), _u18360), c_Product__Type_Osnd(_u18357, _u18358)), hAPP(hAPP(c_List_Ozip(_u18357, _u18358), _u18359), _u18361))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_takeWhile__map ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_takeWhile__map-1, axiom, ( ( c_List_OtakeWhile(_u18362, _u18363, hAPP(hAPP(c_List_Omap(_u18364, _u18362), _u18365), _u18366)) = hAPP(hAPP(c_List_Omap(_u18364, _u18362), _u18365), c_List_OtakeWhile(_u18364, hAPP(c_Fun_Ocomp(_u18362, tc_HOL_Obool, _u18364, _u18363), _u18365), _u18366))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_takeWhile_Osimps_I1_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_takeWhile_Osimps_I1_J-1, axiom, ( ( c_List_OtakeWhile(_u18367, _u18368, c_List_Olist_ONil(_u18367)) = c_List_Olist_ONil(_u18367)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_takeWhile_Osimps_I2_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_takeWhile_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(_u18373, _u18375)) | ( c_List_OtakeWhile(_u18377, _u18373, hAPP(hAPP(c_List_Olist_OCons(_u18377), _u18375), _u18379)) = hAPP(hAPP(c_List_Olist_OCons(_u18377), _u18375), c_List_OtakeWhile(_u18377, _u18373, _u18379))) )).
% 12.54/12.75 cnf(fact_takeWhile_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(_u18374, _u18376)) | ( c_List_OtakeWhile(_u18378, _u18374, hAPP(hAPP(c_List_Olist_OCons(_u18378), _u18376), _u18380)) = c_List_Olist_ONil(_u18378)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_takeWhile__tail ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_takeWhile__tail-1, axiom, ( hBOOL(hAPP(_u18381, _u18382)) | ( c_List_OtakeWhile(_u18383, _u18381, hAPP(hAPP(c_List_Oappend(_u18383), _u18384), hAPP(hAPP(c_List_Olist_OCons(_u18383), _u18382), _u18385))) = c_List_OtakeWhile(_u18383, _u18381, _u18384)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_takeWhile__eq__take ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_takeWhile__eq__take-1, axiom, ( ( c_List_OtakeWhile(_u18386, _u18387, _u18388) = hAPP(hAPP(c_List_Otake(_u18386), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18386)), c_List_OtakeWhile(_u18386, _u18387, _u18388))), _u18388)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_distinct__takeWhile ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_distinct__takeWhile-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18389), _u18390)) | hBOOL(hAPP(c_List_Odistinct(_u18389), c_List_OtakeWhile(_u18389, _u18391, _u18390))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_return__list__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_return__list__def-1, axiom, ( ( c_List_Oreturn__list(_u18392) = hAPP(hAPP(c_List_Omap(tc_Int_Oint, tc_Nat_Onat), c_Int_Onat), _u18392)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_takeWhile__append1 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_takeWhile__append1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18393), _u18394), hAPP(c_List_Oset(_u18393), _u18395))) | hBOOL(hAPP(_u18396, _u18394)) | ( c_List_OtakeWhile(_u18393, _u18396, hAPP(hAPP(c_List_Oappend(_u18393), _u18395), _u18397)) = c_List_OtakeWhile(_u18393, _u18396, _u18395)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_takeWhile__nth ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_takeWhile__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18398), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18399)), c_List_OtakeWhile(_u18399, _u18400, _u18401)))) | ( hAPP(hAPP(c_List_Onth(_u18399), c_List_OtakeWhile(_u18399, _u18400, _u18401)), _u18398) = hAPP(hAPP(c_List_Onth(_u18399), _u18401), _u18398)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_nth__length__takeWhile ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_nth__length__takeWhile-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18402)), c_List_OtakeWhile(_u18402, _u18403, _u18404))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18402)), _u18404))) | ~hBOOL(hAPP(_u18403, hAPP(hAPP(c_List_Onth(_u18402), _u18404), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18402)), c_List_OtakeWhile(_u18402, _u18403, _u18404))))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_takeWhile__not__last ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_takeWhile__not__last-1, axiom, ( ( _u18405 = c_List_Olist_ONil(_u18406)) | ~hBOOL(hAPP(c_List_Odistinct(_u18406), _u18405)) | ( c_List_OtakeWhile(_u18406, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18406), c_fNot), hAPP(hAPP(c_COMBC(_u18406, _u18406, tc_HOL_Obool), c_fequal), c_List_Olast(_u18406, _u18405))), _u18405) = c_List_Obutlast(_u18406, _u18405)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_filter__equals__takeWhile__sorted__rev ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_filter__equals__takeWhile__sorted__rev-1, axiom, ( ~class_Orderings_Olinorder(_u18407) | ~c_List_Olinorder__class_Osorted(_u18407, hAPP(c_List_Orev(_u18407), hAPP(hAPP(c_List_Omap(_u18408, _u18407), _u18409), _u18410))) | ( hAPP(c_List_Ofilter(_u18408, hAPP(hAPP(c_COMBB(_u18407, tc_HOL_Obool, _u18408), hAPP(c_Orderings_Oord__class_Oless(_u18407), _u18411)), _u18409)), _u18410) = c_List_OtakeWhile(_u18408, hAPP(hAPP(c_COMBB(_u18407, tc_HOL_Obool, _u18408), hAPP(c_Orderings_Oord__class_Oless(_u18407), _u18411)), _u18409), _u18410)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_transfer__nat__int__list__return__embed ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_transfer__nat__int__list__return__embed-1, axiom, ( ~c_List_Onat__list(_u18412) | ( c_List_Oembed__list(c_List_Oreturn__list(_u18412)) = _u18412) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_transfer__nat__int__list__functions_I1_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_transfer__nat__int__list__functions_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), _u18413), _u18414) = c_List_Oreturn__list(hAPP(hAPP(c_List_Oappend(tc_Int_Oint), c_List_Oembed__list(_u18413)), c_List_Oembed__list(_u18414)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_embed__list__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_embed__list__def-1, axiom, ( ( c_List_Oembed__list(_u18415) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Int_Oint), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u18415)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_takeWhile__neq__rev ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_takeWhile__neq__rev-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18416), _u18417)) | ~hBOOL(hAPP(hAPP(c_member(_u18416), _u18418), hAPP(c_List_Oset(_u18416), _u18417))) | ( c_List_OtakeWhile(_u18416, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18416), c_fNot), hAPP(hAPP(c_COMBC(_u18416, _u18416, tc_HOL_Obool), c_fequal), _u18418)), hAPP(c_List_Orev(_u18416), _u18417)) = hAPP(c_List_Orev(_u18416), hAPP(c_List_Otl(_u18416), c_List_OdropWhile(_u18416, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18416), c_fNot), hAPP(hAPP(c_COMBC(_u18416, _u18416, tc_HOL_Obool), c_fequal), _u18418)), _u18417)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dropWhile__neq__rev ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dropWhile__neq__rev-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18419), _u18420)) | ~hBOOL(hAPP(hAPP(c_member(_u18419), _u18421), hAPP(c_List_Oset(_u18419), _u18420))) | ( c_List_OdropWhile(_u18419, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18419), c_fNot), hAPP(hAPP(c_COMBC(_u18419, _u18419, tc_HOL_Obool), c_fequal), _u18421)), hAPP(c_List_Orev(_u18419), _u18420)) = hAPP(hAPP(c_List_Olist_OCons(_u18419), _u18421), hAPP(c_List_Orev(_u18419), c_List_OtakeWhile(_u18419, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18419), c_fNot), hAPP(hAPP(c_COMBC(_u18419, _u18419, tc_HOL_Obool), c_fequal), _u18421)), _u18420)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_takeWhile__dropWhile__id ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_takeWhile__dropWhile__id-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18422), c_List_OtakeWhile(_u18422, _u18423, _u18424)), c_List_OdropWhile(_u18422, _u18423, _u18424)) = _u18424) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_hd__dropWhile ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_hd__dropWhile-1, axiom, ( ( c_List_OdropWhile(_u18425, _u18426, _u18427) = c_List_Olist_ONil(_u18425)) | ~hBOOL(hAPP(_u18426, hAPP(c_List_Ohd(_u18425), c_List_OdropWhile(_u18425, _u18426, _u18427)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sorted__dropWhile ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sorted__dropWhile-1, axiom, ( ~class_Orderings_Olinorder(_u18428) | ~c_List_Olinorder__class_Osorted(_u18428, _u18429) | c_List_Olinorder__class_Osorted(_u18428, c_List_OdropWhile(_u18428, _u18430, _u18429)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_length__dropWhile__le ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_length__dropWhile__le-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18431)), c_List_OdropWhile(_u18431, _u18432, _u18433))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18431)), _u18433))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dropWhile__eq__Nil__conv ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dropWhile__eq__Nil__conv-1, axiom, ( ( c_List_OdropWhile(_u18439, _u18441, _u18443) != c_List_Olist_ONil(_u18439)) | ~hBOOL(hAPP(hAPP(c_member(_u18439), _u18434), hAPP(c_List_Oset(_u18439), _u18443))) | hBOOL(hAPP(_u18441, _u18434)) )).
% 12.54/12.75 cnf(fact_dropWhile__eq__Nil__conv-2, axiom, ( ( c_List_OdropWhile(_u18440, _u18442, _u18444) = c_List_Olist_ONil(_u18440)) | hBOOL(hAPP(hAPP(c_member(_u18440), skolem471(_u18444, _u18442, _u18440)), hAPP(c_List_Oset(_u18440), _u18444))) )).
% 12.54/12.75 cnf(fact_dropWhile__eq__Nil__conv-3, axiom, ( ( c_List_OdropWhile(_u18440, _u18442, _u18444) = c_List_Olist_ONil(_u18440)) | ~hBOOL(hAPP(_u18442, skolem471(_u18444, _u18442, _u18440))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dropWhile_Osimps_I1_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dropWhile_Osimps_I1_J-1, axiom, ( ( c_List_OdropWhile(_u18445, _u18446, c_List_Olist_ONil(_u18445)) = c_List_Olist_ONil(_u18445)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dropWhile_Osimps_I2_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dropWhile_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(_u18451, _u18453)) | ( c_List_OdropWhile(_u18455, _u18451, hAPP(hAPP(c_List_Olist_OCons(_u18455), _u18453), _u18457)) = c_List_OdropWhile(_u18455, _u18451, _u18457)) )).
% 12.54/12.75 cnf(fact_dropWhile_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(_u18452, _u18454)) | ( c_List_OdropWhile(_u18456, _u18452, hAPP(hAPP(c_List_Olist_OCons(_u18456), _u18454), _u18458)) = hAPP(hAPP(c_List_Olist_OCons(_u18456), _u18454), _u18458)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_distinct__dropWhile ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_distinct__dropWhile-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18459), _u18460)) | hBOOL(hAPP(c_List_Odistinct(_u18459), c_List_OdropWhile(_u18459, _u18461, _u18460))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dropWhile__map ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dropWhile__map-1, axiom, ( ( c_List_OdropWhile(_u18462, _u18463, hAPP(hAPP(c_List_Omap(_u18464, _u18462), _u18465), _u18466)) = hAPP(hAPP(c_List_Omap(_u18464, _u18462), _u18465), c_List_OdropWhile(_u18464, hAPP(c_Fun_Ocomp(_u18462, tc_HOL_Obool, _u18464, _u18463), _u18465), _u18466))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dropWhile__append1 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dropWhile__append1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18467), _u18468), hAPP(c_List_Oset(_u18467), _u18469))) | hBOOL(hAPP(_u18470, _u18468)) | ( c_List_OdropWhile(_u18467, _u18470, hAPP(hAPP(c_List_Oappend(_u18467), _u18469), _u18471)) = hAPP(hAPP(c_List_Oappend(_u18467), c_List_OdropWhile(_u18467, _u18470, _u18469)), _u18471)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dropWhile__eq__Cons__conv ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dropWhile__eq__Cons__conv-1, axiom, ( ( c_List_OdropWhile(_u18477, _u18479, _u18481) != hAPP(hAPP(c_List_Olist_OCons(_u18477), _u18483), _u18485)) | ( _u18481 = hAPP(hAPP(c_List_Oappend(_u18477), c_List_OtakeWhile(_u18477, _u18479, _u18481)), hAPP(hAPP(c_List_Olist_OCons(_u18477), _u18483), _u18485))) )).
% 12.54/12.75 cnf(fact_dropWhile__eq__Cons__conv-2, axiom, ( ( c_List_OdropWhile(_u18477, _u18479, _u18481) != hAPP(hAPP(c_List_Olist_OCons(_u18477), _u18483), _u18485)) | ~hBOOL(hAPP(_u18479, _u18483)) )).
% 12.54/12.75 cnf(fact_dropWhile__eq__Cons__conv-3, axiom, ( ( _u18482 != hAPP(hAPP(c_List_Oappend(_u18478), c_List_OtakeWhile(_u18478, _u18480, _u18482)), hAPP(hAPP(c_List_Olist_OCons(_u18478), _u18484), _u18486))) | hBOOL(hAPP(_u18480, _u18484)) | ( c_List_OdropWhile(_u18478, _u18480, _u18482) = hAPP(hAPP(c_List_Olist_OCons(_u18478), _u18484), _u18486)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dropWhile__eq__drop ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dropWhile__eq__drop-1, axiom, ( ( c_List_OdropWhile(_u18487, _u18488, _u18489) = hAPP(hAPP(c_List_Odrop(_u18487), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18487)), c_List_OtakeWhile(_u18487, _u18488, _u18489))), _u18489)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dropWhile__nth ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dropWhile__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18490), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18491)), c_List_OdropWhile(_u18491, _u18492, _u18493)))) | ( hAPP(hAPP(c_List_Onth(_u18491), c_List_OdropWhile(_u18491, _u18492, _u18493)), _u18490) = hAPP(hAPP(c_List_Onth(_u18491), _u18493), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18490), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18491)), c_List_OtakeWhile(_u18491, _u18492, _u18493))))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_listsum__map__filter ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_listsum__map__filter-1, axiom, ( ~class_Groups_Omonoid__add(_u18495) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18495), hAPP(hAPP(c_List_Omap(_u18496, _u18495), _u18499), hAPP(c_List_Ofilter(_u18496, _u18498), _u18497))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18495), hAPP(hAPP(c_List_Omap(_u18496, _u18495), _u18499), _u18497))) | hBOOL(hAPP(hAPP(c_member(_u18496), skolem472(_u18499, _u18498, _u18497, _u18496, _u18495)), hAPP(c_List_Oset(_u18496), _u18497))) )).
% 12.54/12.75 cnf(fact_listsum__map__filter-2, axiom, ( ~class_Groups_Omonoid__add(_u18495) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18495), hAPP(hAPP(c_List_Omap(_u18496, _u18495), _u18499), hAPP(c_List_Ofilter(_u18496, _u18498), _u18497))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18495), hAPP(hAPP(c_List_Omap(_u18496, _u18495), _u18499), _u18497))) | ~hBOOL(hAPP(_u18498, skolem472(_u18499, _u18498, _u18497, _u18496, _u18495))) )).
% 12.54/12.75 cnf(fact_listsum__map__filter-3, axiom, ( ~class_Groups_Omonoid__add(_u18495) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18495), hAPP(hAPP(c_List_Omap(_u18496, _u18495), _u18499), hAPP(c_List_Ofilter(_u18496, _u18498), _u18497))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18495), hAPP(hAPP(c_List_Omap(_u18496, _u18495), _u18499), _u18497))) | ( hAPP(_u18499, skolem472(_u18499, _u18498, _u18497, _u18496, _u18495)) != c_Groups_Ozero__class_Ozero(_u18495)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sorted__nth__monoI ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sorted__nth__monoI-1, axiom, ( ~class_Orderings_Olinorder(_u18502) | c_List_Olinorder__class_Osorted(_u18502, _u18503) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem473(_u18503, _u18502)), skolem474(_u18503, _u18502))) )).
% 12.54/12.75 cnf(fact_sorted__nth__monoI-2, axiom, ( ~class_Orderings_Olinorder(_u18502) | c_List_Olinorder__class_Osorted(_u18502, _u18503) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem474(_u18503, _u18502)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18502)), _u18503))) )).
% 12.54/12.75 cnf(fact_sorted__nth__monoI-3, axiom, ( ~class_Orderings_Olinorder(_u18502) | c_List_Olinorder__class_Osorted(_u18502, _u18503) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18502), hAPP(hAPP(c_List_Onth(_u18502), _u18503), skolem473(_u18503, _u18502))), hAPP(hAPP(c_List_Onth(_u18502), _u18503), skolem474(_u18503, _u18502)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_takeWhile__eq__filter ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_takeWhile__eq__filter-1, axiom, ( ( c_List_OtakeWhile(_u18505, _u18506, _u18507) = hAPP(c_List_Ofilter(_u18505, _u18506), _u18507)) | hBOOL(hAPP(hAPP(c_member(_u18505), skolem475(_u18507, _u18506, _u18505)), hAPP(c_List_Oset(_u18505), c_List_OdropWhile(_u18505, _u18506, _u18507)))) )).
% 12.54/12.75 cnf(fact_takeWhile__eq__filter-2, axiom, ( ( c_List_OtakeWhile(_u18505, _u18506, _u18507) = hAPP(c_List_Ofilter(_u18505, _u18506), _u18507)) | hBOOL(hAPP(_u18506, skolem475(_u18507, _u18506, _u18505))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_takeWhile__eq__take__P__nth ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_takeWhile__eq__take__P__nth-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem476(_u18512, _u18511, _u18510, _u18509)), _u18509)) | ( c_List_OtakeWhile(_u18510, _u18512, _u18511) = hAPP(hAPP(c_List_Otake(_u18510), _u18509), _u18511)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18509), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18510)), _u18511))) )).
% 12.54/12.75 cnf(fact_takeWhile__eq__take__P__nth-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem476(_u18512, _u18511, _u18510, _u18509)), _u18509)) | ( c_List_OtakeWhile(_u18510, _u18512, _u18511) = hAPP(hAPP(c_List_Otake(_u18510), _u18509), _u18511)) | hBOOL(hAPP(_u18512, hAPP(hAPP(c_List_Onth(_u18510), _u18511), _u18509))) )).
% 12.54/12.75 cnf(fact_takeWhile__eq__take__P__nth-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem476(_u18512, _u18511, _u18510, _u18509)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18510)), _u18511))) | ( c_List_OtakeWhile(_u18510, _u18512, _u18511) = hAPP(hAPP(c_List_Otake(_u18510), _u18509), _u18511)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18509), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18510)), _u18511))) )).
% 12.54/12.75 cnf(fact_takeWhile__eq__take__P__nth-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem476(_u18512, _u18511, _u18510, _u18509)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18510)), _u18511))) | ( c_List_OtakeWhile(_u18510, _u18512, _u18511) = hAPP(hAPP(c_List_Otake(_u18510), _u18509), _u18511)) | hBOOL(hAPP(_u18512, hAPP(hAPP(c_List_Onth(_u18510), _u18511), _u18509))) )).
% 12.54/12.75 cnf(fact_takeWhile__eq__take__P__nth-5, axiom, ( ~hBOOL(hAPP(_u18512, hAPP(hAPP(c_List_Onth(_u18510), _u18511), skolem476(_u18512, _u18511, _u18510, _u18509)))) | ( c_List_OtakeWhile(_u18510, _u18512, _u18511) = hAPP(hAPP(c_List_Otake(_u18510), _u18509), _u18511)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18509), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18510)), _u18511))) )).
% 12.54/12.75 cnf(fact_takeWhile__eq__take__P__nth-6, axiom, ( ~hBOOL(hAPP(_u18512, hAPP(hAPP(c_List_Onth(_u18510), _u18511), skolem476(_u18512, _u18511, _u18510, _u18509)))) | ( c_List_OtakeWhile(_u18510, _u18512, _u18511) = hAPP(hAPP(c_List_Otake(_u18510), _u18509), _u18511)) | hBOOL(hAPP(_u18512, hAPP(hAPP(c_List_Onth(_u18510), _u18511), _u18509))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_length__takeWhile__less__P__nth ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_length__takeWhile__less__P__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18514), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18516)), _u18517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18514), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18516)), c_List_OtakeWhile(_u18516, _u18515, _u18517)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem477(_u18517, _u18516, _u18515, _u18514)), _u18514)) )).
% 12.54/12.75 cnf(fact_length__takeWhile__less__P__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18514), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18516)), _u18517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18514), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18516)), c_List_OtakeWhile(_u18516, _u18515, _u18517)))) | ~hBOOL(hAPP(_u18515, hAPP(hAPP(c_List_Onth(_u18516), _u18517), skolem477(_u18517, _u18516, _u18515, _u18514)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sorted_Osimps ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sorted_Osimps-1, axiom, ( ~class_Orderings_Olinorder(_u18524) | ~c_List_Olinorder__class_Osorted(_u18524, _u18525) | ( _u18525 = c_List_Olist_ONil(_u18524)) | c_List_Olinorder__class_Osorted(_u18524, skolem478(_u18525, _u18524)) )).
% 12.54/12.75 cnf(fact_sorted_Osimps-2, axiom, ( ~class_Orderings_Olinorder(_u18524) | ~c_List_Olinorder__class_Osorted(_u18524, _u18525) | ( _u18525 = c_List_Olist_ONil(_u18524)) | ( _u18525 = hAPP(hAPP(c_List_Olist_OCons(_u18524), skolem479(_u18525, _u18524)), skolem478(_u18525, _u18524))) )).
% 12.54/12.75 cnf(fact_sorted_Osimps-3, axiom, ( ~class_Orderings_Olinorder(_u18524) | ~c_List_Olinorder__class_Osorted(_u18524, _u18525) | ( _u18525 = c_List_Olist_ONil(_u18524)) | ~hBOOL(hAPP(hAPP(c_member(_u18524), _u18518), hAPP(c_List_Oset(_u18524), skolem478(_u18525, _u18524)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18524), skolem479(_u18525, _u18524)), _u18518)) )).
% 12.54/12.75 cnf(fact_sorted_Osimps-4, axiom, ( ~class_Orderings_Olinorder(_u18524) | c_List_Olinorder__class_Osorted(_u18524, _u18525) | ( _u18525 != c_List_Olist_ONil(_u18524)) )).
% 12.54/12.75 cnf(fact_sorted_Osimps-5, axiom, ( ~class_Orderings_Olinorder(_u18524) | c_List_Olinorder__class_Osorted(_u18524, _u18525) | ~c_List_Olinorder__class_Osorted(_u18524, _u18523) | ( _u18525 != hAPP(hAPP(c_List_Olist_OCons(_u18524), _u18522), _u18523)) | hBOOL(hAPP(hAPP(c_member(_u18524), skolem480(_u18525, _u18524, _u18523, _u18522)), hAPP(c_List_Oset(_u18524), _u18523))) )).
% 12.54/12.75 cnf(fact_sorted_Osimps-6, axiom, ( ~class_Orderings_Olinorder(_u18524) | c_List_Olinorder__class_Osorted(_u18524, _u18525) | ~c_List_Olinorder__class_Osorted(_u18524, _u18523) | ( _u18525 != hAPP(hAPP(c_List_Olist_OCons(_u18524), _u18522), _u18523)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18524), _u18522), skolem480(_u18525, _u18524, _u18523, _u18522))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_List_Oinsert__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_List_Oinsert__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18529), _u18531), hAPP(c_List_Oset(_u18529), _u18533))) | ( c_List_Oinsert(_u18529, _u18531, _u18533) = _u18533) )).
% 12.54/12.75 cnf(fact_List_Oinsert__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18530), _u18532), hAPP(c_List_Oset(_u18530), _u18534))) | ( c_List_Oinsert(_u18530, _u18532, _u18534) = hAPP(hAPP(c_List_Olist_OCons(_u18530), _u18532), _u18534)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_not__in__set__insert ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_not__in__set__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18535), _u18536), hAPP(c_List_Oset(_u18535), _u18537))) | ( c_List_Oinsert(_u18535, _u18536, _u18537) = hAPP(hAPP(c_List_Olist_OCons(_u18535), _u18536), _u18537)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_insert__remdups ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_insert__remdups-1, axiom, ( ( c_List_Oinsert(_u18538, _u18539, c_List_Oremdups(_u18538, _u18540)) = c_List_Oremdups(_u18538, c_List_Oinsert(_u18538, _u18539, _u18540))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_distinct__insert ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_distinct__insert-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18541), _u18542)) | hBOOL(hAPP(c_List_Odistinct(_u18541), c_List_Oinsert(_u18541, _u18543, _u18542))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_in__set__insert ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_in__set__insert-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18544), _u18545), hAPP(c_List_Oset(_u18544), _u18546))) | ( c_List_Oinsert(_u18544, _u18545, _u18546) = _u18546) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_List_Oset__insert ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_List_Oset__insert-1, axiom, ( ( hAPP(c_List_Oset(_u18547), c_List_Oinsert(_u18547, _u18548, _u18549)) = hAPP(hAPP(c_Set_Oinsert(_u18547), _u18548), hAPP(c_List_Oset(_u18547), _u18549))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_insert__Nil ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_insert__Nil-1, axiom, ( ( c_List_Oinsert(_u18550, _u18551, c_List_Olist_ONil(_u18550)) = hAPP(hAPP(c_List_Olist_OCons(_u18550), _u18551), c_List_Olist_ONil(_u18550))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_concat__map__maps ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_concat__map__maps-1, axiom, ( ( c_List_Oconcat(_u18552, hAPP(hAPP(c_List_Omap(_u18553, tc_List_Olist(_u18552)), _u18554), _u18555)) = c_List_Omaps(_u18553, _u18552, _u18554, _u18555)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_maps__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_maps__def-1, axiom, ( ( c_List_Omaps(_u18556, _u18557, _u18558, _u18559) = c_List_Oconcat(_u18557, hAPP(hAPP(c_List_Omap(_u18556, tc_List_Olist(_u18557)), _u18558), _u18559))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_maps__simps_I2_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_maps__simps_I2_J-1, axiom, ( ( c_List_Omaps(_u18560, _u18561, _u18562, c_List_Olist_ONil(_u18560)) = c_List_Olist_ONil(_u18561)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_maps__simps_I1_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_maps__simps_I1_J-1, axiom, ( ( c_List_Omaps(_u18563, _u18564, _u18565, hAPP(hAPP(c_List_Olist_OCons(_u18563), _u18566), _u18567)) = hAPP(hAPP(c_List_Oappend(_u18564), hAPP(_u18565, _u18566)), c_List_Omaps(_u18563, _u18564, _u18565, _u18567))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_distinct__concat ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_distinct__concat-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18571)), _u18572)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18571)), skolem481(_u18572, _u18571)), hAPP(c_List_Oset(tc_List_Olist(_u18571)), _u18572))) | hBOOL(hAPP(c_List_Odistinct(_u18571), c_List_Oconcat(_u18571, _u18572))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18571)), skolem482(_u18572, _u18571)), hAPP(c_List_Oset(tc_List_Olist(_u18571)), _u18572))) )).
% 12.54/12.75 cnf(fact_distinct__concat-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18571)), _u18572)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18571)), skolem481(_u18572, _u18571)), hAPP(c_List_Oset(tc_List_Olist(_u18571)), _u18572))) | hBOOL(hAPP(c_List_Odistinct(_u18571), c_List_Oconcat(_u18571, _u18572))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18571)), skolem483(_u18572, _u18571)), hAPP(c_List_Oset(tc_List_Olist(_u18571)), _u18572))) )).
% 12.54/12.75 cnf(fact_distinct__concat-3, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18571)), _u18572)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18571)), skolem481(_u18572, _u18571)), hAPP(c_List_Oset(tc_List_Olist(_u18571)), _u18572))) | hBOOL(hAPP(c_List_Odistinct(_u18571), c_List_Oconcat(_u18571, _u18572))) | ( skolem482(_u18572, _u18571) != skolem483(_u18572, _u18571)) )).
% 12.54/12.75 cnf(fact_distinct__concat-4, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18571)), _u18572)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18571)), skolem481(_u18572, _u18571)), hAPP(c_List_Oset(tc_List_Olist(_u18571)), _u18572))) | hBOOL(hAPP(c_List_Odistinct(_u18571), c_List_Oconcat(_u18571, _u18572))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18571, tc_HOL_Obool)), hAPP(c_List_Oset(_u18571), skolem482(_u18572, _u18571))), hAPP(c_List_Oset(_u18571), skolem483(_u18572, _u18571))) != c_Orderings_Obot__class_Obot(tc_fun(_u18571, tc_HOL_Obool))) )).
% 12.54/12.75 cnf(fact_distinct__concat-5, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18571)), _u18572)) | ~hBOOL(hAPP(c_List_Odistinct(_u18571), skolem481(_u18572, _u18571))) | hBOOL(hAPP(c_List_Odistinct(_u18571), c_List_Oconcat(_u18571, _u18572))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18571)), skolem482(_u18572, _u18571)), hAPP(c_List_Oset(tc_List_Olist(_u18571)), _u18572))) )).
% 12.54/12.75 cnf(fact_distinct__concat-6, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18571)), _u18572)) | ~hBOOL(hAPP(c_List_Odistinct(_u18571), skolem481(_u18572, _u18571))) | hBOOL(hAPP(c_List_Odistinct(_u18571), c_List_Oconcat(_u18571, _u18572))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18571)), skolem483(_u18572, _u18571)), hAPP(c_List_Oset(tc_List_Olist(_u18571)), _u18572))) )).
% 12.54/12.75 cnf(fact_distinct__concat-7, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18571)), _u18572)) | ~hBOOL(hAPP(c_List_Odistinct(_u18571), skolem481(_u18572, _u18571))) | hBOOL(hAPP(c_List_Odistinct(_u18571), c_List_Oconcat(_u18571, _u18572))) | ( skolem482(_u18572, _u18571) != skolem483(_u18572, _u18571)) )).
% 12.54/12.75 cnf(fact_distinct__concat-8, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18571)), _u18572)) | ~hBOOL(hAPP(c_List_Odistinct(_u18571), skolem481(_u18572, _u18571))) | hBOOL(hAPP(c_List_Odistinct(_u18571), c_List_Oconcat(_u18571, _u18572))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18571, tc_HOL_Obool)), hAPP(c_List_Oset(_u18571), skolem482(_u18572, _u18571))), hAPP(c_List_Oset(_u18571), skolem483(_u18572, _u18571))) != c_Orderings_Obot__class_Obot(tc_fun(_u18571, tc_HOL_Obool))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_measures__lesseq ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_measures__lesseq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u18573, _u18574)), hAPP(_u18573, _u18575))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18576, _u18576)), hAPP(hAPP(c_Product__Type_OPair(_u18576, _u18576), _u18574), _u18575)), c_List_Omeasures(_u18576, _u18577))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18576, _u18576)), hAPP(hAPP(c_Product__Type_OPair(_u18576, _u18576), _u18574), _u18575)), c_List_Omeasures(_u18576, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18576, tc_Nat_Onat)), _u18573), _u18577)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_wf__measures ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_wf__measures-1, axiom, ( c_Wellfounded_Owf(_u18578, c_List_Omeasures(_u18578, _u18579)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_in__measures_I1_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_in__measures_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18580, _u18580)), hAPP(hAPP(c_Product__Type_OPair(_u18580, _u18580), _u18581), _u18582)), c_List_Omeasures(_u18580, c_List_Olist_ONil(tc_fun(_u18580, tc_Nat_Onat))))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_measures__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_measures__def-1, axiom, ( ( c_List_Omeasures(_u18583, _u18584) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat), _u18583), c_List_Olex(tc_Nat_Onat, c_Wellfounded_Oless__than)), hAPP(hAPP(c_COMBC(_u18583, tc_List_Olist(tc_fun(_u18583, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u18583, tc_Nat_Onat), tc_Nat_Onat), tc_fun(tc_List_Olist(tc_fun(_u18583, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), _u18583), c_List_Omap(tc_fun(_u18583, tc_Nat_Onat), tc_Nat_Onat)), hAPP(c_COMBC(tc_fun(_u18583, tc_Nat_Onat), _u18583, tc_Nat_Onat), c_COMBI(tc_fun(_u18583, tc_Nat_Onat))))), _u18584))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_measures__less ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_measures__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18585, _u18586)), hAPP(_u18585, _u18587))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18588, _u18588)), hAPP(hAPP(c_Product__Type_OPair(_u18588, _u18588), _u18586), _u18587)), c_List_Omeasures(_u18588, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18588, tc_Nat_Onat)), _u18585), _u18589)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_in__measures_I2_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_in__measures_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18595, _u18595)), hAPP(hAPP(c_Product__Type_OPair(_u18595, _u18595), _u18597), _u18599)), c_List_Omeasures(_u18595, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18595, tc_Nat_Onat)), _u18601), _u18603)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18601, _u18597)), hAPP(_u18601, _u18599))) | ( hAPP(_u18601, _u18597) = hAPP(_u18601, _u18599)) )).
% 12.54/12.75 cnf(fact_in__measures_I2_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18595, _u18595)), hAPP(hAPP(c_Product__Type_OPair(_u18595, _u18595), _u18597), _u18599)), c_List_Omeasures(_u18595, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18595, tc_Nat_Onat)), _u18601), _u18603)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18601, _u18597)), hAPP(_u18601, _u18599))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18595, _u18595)), hAPP(hAPP(c_Product__Type_OPair(_u18595, _u18595), _u18597), _u18599)), c_List_Omeasures(_u18595, _u18603))) )).
% 12.54/12.75 cnf(fact_in__measures_I2_J-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18596, _u18596)), hAPP(hAPP(c_Product__Type_OPair(_u18596, _u18596), _u18598), _u18600)), c_List_Omeasures(_u18596, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18596, tc_Nat_Onat)), _u18602), _u18604)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18602, _u18598)), hAPP(_u18602, _u18600))) )).
% 12.54/12.75 cnf(fact_in__measures_I2_J-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18596, _u18596)), hAPP(hAPP(c_Product__Type_OPair(_u18596, _u18596), _u18598), _u18600)), c_List_Omeasures(_u18596, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18596, tc_Nat_Onat)), _u18602), _u18604)))) | ( hAPP(_u18602, _u18598) != hAPP(_u18602, _u18600)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18596, _u18596)), hAPP(hAPP(c_Product__Type_OPair(_u18596, _u18596), _u18598), _u18600)), c_List_Omeasures(_u18596, _u18604))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_foldl__apply ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_foldl__apply-1, axiom, ( ( hAPP(c_List_Ofoldl(_u18608, _u18606, hAPP(c_COMBC(_u18606, _u18608, _u18608), _u18610), hAPP(_u18611, _u18613)), _u18607) = hAPP(_u18611, hAPP(c_List_Ofoldl(_u18609, _u18606, hAPP(c_COMBC(_u18606, _u18609, _u18609), _u18612), _u18613), _u18607))) | hBOOL(hAPP(hAPP(c_member(_u18606), skolem484(_u18613, _u18612, _u18611, _u18610, _u18609, _u18608, _u18607, _u18606)), hAPP(c_List_Oset(_u18606), _u18607))) )).
% 12.54/12.75 cnf(fact_foldl__apply-2, axiom, ( ( hAPP(c_List_Ofoldl(_u18608, _u18606, hAPP(c_COMBC(_u18606, _u18608, _u18608), _u18610), hAPP(_u18611, _u18613)), _u18607) = hAPP(_u18611, hAPP(c_List_Ofoldl(_u18609, _u18606, hAPP(c_COMBC(_u18606, _u18609, _u18609), _u18612), _u18613), _u18607))) | ( hAPP(c_Fun_Ocomp(_u18608, _u18608, _u18609, hAPP(_u18610, skolem484(_u18613, _u18612, _u18611, _u18610, _u18609, _u18608, _u18607, _u18606))), _u18611) != hAPP(c_Fun_Ocomp(_u18609, _u18608, _u18609, _u18611), hAPP(_u18612, skolem484(_u18613, _u18612, _u18611, _u18610, _u18609, _u18608, _u18607, _u18606)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_order__fun_I2_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_order__fun_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u18614) | ~class_Enum_Oenum(_u18615) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u18615, _u18614)), _u18616), _u18617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18615, _u18614)), _u18616), _u18617)) )).
% 12.54/12.75 cnf(fact_order__fun_I2_J-2, axiom, ( ~class_Orderings_Oorder(_u18614) | ~class_Enum_Oenum(_u18615) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u18615, _u18614)), _u18616), _u18617)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18615), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18615), c_fNot), hAPP(hAPP(c_COMBS(_u18615, _u18614, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18614, tc_fun(_u18614, tc_HOL_Obool), _u18615), c_fequal), _u18616)), _u18617)))) )).
% 12.54/12.75 cnf(fact_order__fun_I2_J-3, axiom, ( ~class_Orderings_Oorder(_u18614) | ~class_Enum_Oenum(_u18615) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18615, _u18614)), _u18616), _u18617)) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18615), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18615), c_fNot), hAPP(hAPP(c_COMBS(_u18615, _u18614, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18614, tc_fun(_u18614, tc_HOL_Obool), _u18615), c_fequal), _u18616)), _u18617)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u18615, _u18614)), _u18616), _u18617)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_enum__ex__prod__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_enum__ex__prod__def-1, axiom, ( ~class_Enum_Oenum(_u18618) | ~class_Enum_Oenum(_u18619) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u18619, _u18618)), _u18620)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18619), hAPP(hAPP(c_COMBB(tc_fun(_u18618, tc_HOL_Obool), tc_HOL_Obool, _u18619), c_Enum_Oenum__class_Oenum__ex(_u18618)), hAPP(hAPP(c_COMBB(tc_fun(_u18618, tc_prod(_u18619, _u18618)), tc_fun(_u18618, tc_HOL_Obool), _u18619), hAPP(c_COMBB(tc_prod(_u18619, _u18618), tc_HOL_Obool, _u18618), _u18620)), c_Product__Type_OPair(_u18619, _u18618))))) )).
% 12.54/12.75 cnf(fact_enum__ex__prod__def-2, axiom, ( ~class_Enum_Oenum(_u18618) | ~class_Enum_Oenum(_u18619) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18619), hAPP(hAPP(c_COMBB(tc_fun(_u18618, tc_HOL_Obool), tc_HOL_Obool, _u18619), c_Enum_Oenum__class_Oenum__ex(_u18618)), hAPP(hAPP(c_COMBB(tc_fun(_u18618, tc_prod(_u18619, _u18618)), tc_fun(_u18618, tc_HOL_Obool), _u18619), hAPP(c_COMBB(tc_prod(_u18619, _u18618), tc_HOL_Obool, _u18618), _u18620)), c_Product__Type_OPair(_u18619, _u18618))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u18619, _u18618)), _u18620)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_exists__code ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_exists__code-1, axiom, ( ~class_Enum_Oenum(_u18623) | ~hBOOL(hAPP(_u18624, _u18621)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18623), _u18624)) )).
% 12.54/12.75 cnf(fact_exists__code-2, axiom, ( ~class_Enum_Oenum(_u18623) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18623), _u18624)) | hBOOL(hAPP(_u18624, skolem485(_u18624, _u18623))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_enum__ex ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_enum__ex-1, axiom, ( ~class_Enum_Oenum(_u18627) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18627), _u18628)) | hBOOL(hAPP(_u18628, skolem486(_u18628, _u18627))) )).
% 12.54/12.75 cnf(fact_enum__ex-2, axiom, ( ~class_Enum_Oenum(_u18627) | ~hBOOL(hAPP(_u18628, _u18626)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18627), _u18628)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_zip__obtain__same__length ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_zip__obtain__same__length-1, axiom, ( hBOOL(hAPP(_u18633, hAPP(hAPP(c_List_Ozip(_u18629, _u18631), _u18630), _u18632))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18629)), hAPP(hAPP(c_List_Otake(_u18629), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18629)), _u18630)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18631)), _u18632))), _u18630)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18631)), hAPP(hAPP(c_List_Otake(_u18631), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18629)), _u18630)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18631)), _u18632))), _u18632))) )).
% 12.54/12.75 cnf(fact_zip__obtain__same__length-2, axiom, ( hBOOL(hAPP(_u18633, hAPP(hAPP(c_List_Ozip(_u18629, _u18631), _u18630), _u18632))) | ~hBOOL(hAPP(_u18633, hAPP(hAPP(c_List_Ozip(_u18629, _u18631), hAPP(hAPP(c_List_Otake(_u18629), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18629)), _u18630)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18631)), _u18632))), _u18630)), hAPP(hAPP(c_List_Otake(_u18631), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18629)), _u18630)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18631)), _u18632))), _u18632)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_pos__not__random__dseq__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_pos__not__random__dseq__def-1, axiom, ( ( c_New__Random__Sequence_Opos__not__random__dseq(_u18634, _u18635, _u18636, _u18637) = c_New__DSequence_Opos__not__seq(hAPP(hAPP(hAPP(_u18634, _u18635), _u18636), _u18637))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dropWhile__append2 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dropWhile__append2-1, axiom, ( ( c_List_OdropWhile(_u18639, _u18641, hAPP(hAPP(c_List_Oappend(_u18639), _u18640), _u18642)) = c_List_OdropWhile(_u18639, _u18641, _u18642)) | hBOOL(hAPP(hAPP(c_member(_u18639), skolem487(_u18642, _u18641, _u18640, _u18639)), hAPP(c_List_Oset(_u18639), _u18640))) )).
% 12.54/12.75 cnf(fact_dropWhile__append2-2, axiom, ( ( c_List_OdropWhile(_u18639, _u18641, hAPP(hAPP(c_List_Oappend(_u18639), _u18640), _u18642)) = c_List_OdropWhile(_u18639, _u18641, _u18642)) | ~hBOOL(hAPP(_u18641, skolem487(_u18642, _u18641, _u18640, _u18639))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_list__all2__all__nthI ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_list__all2__all__nthI-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18644)), _u18645) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18646)), _u18647)) | c_List_Olist__all2(_u18644, _u18646, _u18648, _u18645, _u18647) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem488(_u18648, _u18647, _u18646, _u18645, _u18644)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18644)), _u18645))) )).
% 12.54/12.75 cnf(fact_list__all2__all__nthI-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18644)), _u18645) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18646)), _u18647)) | c_List_Olist__all2(_u18644, _u18646, _u18648, _u18645, _u18647) | ~hBOOL(hAPP(hAPP(_u18648, hAPP(hAPP(c_List_Onth(_u18644), _u18645), skolem488(_u18648, _u18647, _u18646, _u18645, _u18644))), hAPP(hAPP(c_List_Onth(_u18646), _u18647), skolem488(_u18648, _u18647, _u18646, _u18645, _u18644)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_finite__sorted__distinct__unique ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_finite__sorted__distinct__unique-1, axiom, ( ~class_Orderings_Olinorder(_u18651) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18651), _u18652)) | ( hAPP(c_List_Oset(_u18651), skolem489(_u18652, _u18651)) = _u18652) )).
% 12.54/12.75 cnf(fact_finite__sorted__distinct__unique-2, axiom, ( ~class_Orderings_Olinorder(_u18651) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18651), _u18652)) | c_List_Olinorder__class_Osorted(_u18651, skolem489(_u18652, _u18651)) )).
% 12.54/12.75 cnf(fact_finite__sorted__distinct__unique-3, axiom, ( ~class_Orderings_Olinorder(_u18651) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18651), _u18652)) | hBOOL(hAPP(c_List_Odistinct(_u18651), skolem489(_u18652, _u18651))) )).
% 12.54/12.75 cnf(fact_finite__sorted__distinct__unique-4, axiom, ( ~class_Orderings_Olinorder(_u18651) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18651), _u18652)) | ( hAPP(c_List_Oset(_u18651), _u18649) != _u18652) | ~c_List_Olinorder__class_Osorted(_u18651, _u18649) | ~hBOOL(hAPP(c_List_Odistinct(_u18651), _u18649)) | ( _u18649 = skolem489(_u18652, _u18651)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_takeWhile__append2 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_takeWhile__append2-1, axiom, ( ( c_List_OtakeWhile(_u18654, _u18656, hAPP(hAPP(c_List_Oappend(_u18654), _u18655), _u18657)) = hAPP(hAPP(c_List_Oappend(_u18654), _u18655), c_List_OtakeWhile(_u18654, _u18656, _u18657))) | hBOOL(hAPP(hAPP(c_member(_u18654), skolem490(_u18657, _u18656, _u18655, _u18654)), hAPP(c_List_Oset(_u18654), _u18655))) )).
% 12.54/12.75 cnf(fact_takeWhile__append2-2, axiom, ( ( c_List_OtakeWhile(_u18654, _u18656, hAPP(hAPP(c_List_Oappend(_u18654), _u18655), _u18657)) = hAPP(hAPP(c_List_Oappend(_u18654), _u18655), c_List_OtakeWhile(_u18654, _u18656, _u18657))) | ~hBOOL(hAPP(_u18656, skolem490(_u18657, _u18656, _u18655, _u18654))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_insort__is__Cons ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_insort__is__Cons-1, axiom, ( ~class_Orderings_Olinorder(_u18659) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18660, _u18659, _u18662), _u18663), _u18661) = hAPP(hAPP(c_List_Olist_OCons(_u18660), _u18663), _u18661)) | hBOOL(hAPP(hAPP(c_member(_u18660), skolem491(_u18663, _u18662, _u18661, _u18660, _u18659)), hAPP(c_List_Oset(_u18660), _u18661))) )).
% 12.54/12.75 cnf(fact_insort__is__Cons-2, axiom, ( ~class_Orderings_Olinorder(_u18659) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18660, _u18659, _u18662), _u18663), _u18661) = hAPP(hAPP(c_List_Olist_OCons(_u18660), _u18663), _u18661)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18659), hAPP(_u18662, _u18663)), hAPP(_u18662, skolem491(_u18663, _u18662, _u18661, _u18660, _u18659)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_filter__eq__Cons__iff ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_filter__eq__Cons__iff-1, axiom, ( ( hAPP(c_List_Ofilter(_u18675, _u18677), _u18679) != hAPP(hAPP(c_List_Olist_OCons(_u18675), _u18681), _u18683)) | hBOOL(hAPP(_u18677, _u18681)) )).
% 12.54/12.75 cnf(fact_filter__eq__Cons__iff-2, axiom, ( ( hAPP(c_List_Ofilter(_u18675, _u18677), _u18679) != hAPP(hAPP(c_List_Olist_OCons(_u18675), _u18681), _u18683)) | ~hBOOL(hAPP(hAPP(c_member(_u18675), _u18664), hAPP(c_List_Oset(_u18675), skolem492(_u18683, _u18681, _u18679, _u18677, _u18675)))) | ~hBOOL(hAPP(_u18677, _u18664)) )).
% 12.54/12.75 cnf(fact_filter__eq__Cons__iff-3, axiom, ( ( hAPP(c_List_Ofilter(_u18675, _u18677), _u18679) != hAPP(hAPP(c_List_Olist_OCons(_u18675), _u18681), _u18683)) | ( _u18679 = hAPP(hAPP(c_List_Oappend(_u18675), skolem492(_u18683, _u18681, _u18679, _u18677, _u18675)), hAPP(hAPP(c_List_Olist_OCons(_u18675), _u18681), skolem493(_u18683, _u18681, _u18679, _u18677, _u18675)))) )).
% 12.54/12.75 cnf(fact_filter__eq__Cons__iff-4, axiom, ( ( hAPP(c_List_Ofilter(_u18675, _u18677), _u18679) != hAPP(hAPP(c_List_Olist_OCons(_u18675), _u18681), _u18683)) | ( _u18683 = hAPP(c_List_Ofilter(_u18675, _u18677), skolem493(_u18683, _u18681, _u18679, _u18677, _u18675))) )).
% 12.54/12.75 cnf(fact_filter__eq__Cons__iff-5, axiom, ( ( hAPP(c_List_Ofilter(_u18676, _u18678), _u18680) = hAPP(hAPP(c_List_Olist_OCons(_u18676), _u18682), _u18684)) | ~hBOOL(hAPP(_u18678, _u18682)) | ( _u18680 != hAPP(hAPP(c_List_Oappend(_u18676), _u18669), hAPP(hAPP(c_List_Olist_OCons(_u18676), _u18682), _u18668))) | ( _u18684 != hAPP(c_List_Ofilter(_u18676, _u18678), _u18668)) | hBOOL(hAPP(hAPP(c_member(_u18676), skolem494(_u18684, _u18682, _u18680, _u18678, _u18676, _u18669)), hAPP(c_List_Oset(_u18676), _u18669))) )).
% 12.54/12.75 cnf(fact_filter__eq__Cons__iff-6, axiom, ( ( hAPP(c_List_Ofilter(_u18676, _u18678), _u18680) = hAPP(hAPP(c_List_Olist_OCons(_u18676), _u18682), _u18684)) | ~hBOOL(hAPP(_u18678, _u18682)) | ( _u18680 != hAPP(hAPP(c_List_Oappend(_u18676), _u18669), hAPP(hAPP(c_List_Olist_OCons(_u18676), _u18682), _u18668))) | ( _u18684 != hAPP(c_List_Ofilter(_u18676, _u18678), _u18668)) | hBOOL(hAPP(_u18678, skolem494(_u18684, _u18682, _u18680, _u18678, _u18676, _u18669))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_Cons__eq__filter__iff ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_Cons__eq__filter__iff-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18696), _u18698), _u18700) != hAPP(c_List_Ofilter(_u18696, _u18702), _u18704)) | hBOOL(hAPP(_u18702, _u18698)) )).
% 12.54/12.75 cnf(fact_Cons__eq__filter__iff-2, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18696), _u18698), _u18700) != hAPP(c_List_Ofilter(_u18696, _u18702), _u18704)) | ~hBOOL(hAPP(hAPP(c_member(_u18696), _u18685), hAPP(c_List_Oset(_u18696), skolem495(_u18704, _u18702, _u18700, _u18698, _u18696)))) | ~hBOOL(hAPP(_u18702, _u18685)) )).
% 12.54/12.75 cnf(fact_Cons__eq__filter__iff-3, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18696), _u18698), _u18700) != hAPP(c_List_Ofilter(_u18696, _u18702), _u18704)) | ( _u18704 = hAPP(hAPP(c_List_Oappend(_u18696), skolem495(_u18704, _u18702, _u18700, _u18698, _u18696)), hAPP(hAPP(c_List_Olist_OCons(_u18696), _u18698), skolem496(_u18704, _u18702, _u18700, _u18698, _u18696)))) )).
% 12.54/12.75 cnf(fact_Cons__eq__filter__iff-4, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18696), _u18698), _u18700) != hAPP(c_List_Ofilter(_u18696, _u18702), _u18704)) | ( _u18700 = hAPP(c_List_Ofilter(_u18696, _u18702), skolem496(_u18704, _u18702, _u18700, _u18698, _u18696))) )).
% 12.54/12.75 cnf(fact_Cons__eq__filter__iff-5, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18697), _u18699), _u18701) = hAPP(c_List_Ofilter(_u18697, _u18703), _u18705)) | ~hBOOL(hAPP(_u18703, _u18699)) | ( _u18705 != hAPP(hAPP(c_List_Oappend(_u18697), _u18690), hAPP(hAPP(c_List_Olist_OCons(_u18697), _u18699), _u18689))) | ( _u18701 != hAPP(c_List_Ofilter(_u18697, _u18703), _u18689)) | hBOOL(hAPP(hAPP(c_member(_u18697), skolem497(_u18705, _u18703, _u18701, _u18699, _u18697, _u18690)), hAPP(c_List_Oset(_u18697), _u18690))) )).
% 12.54/12.75 cnf(fact_Cons__eq__filter__iff-6, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18697), _u18699), _u18701) = hAPP(c_List_Ofilter(_u18697, _u18703), _u18705)) | ~hBOOL(hAPP(_u18703, _u18699)) | ( _u18705 != hAPP(hAPP(c_List_Oappend(_u18697), _u18690), hAPP(hAPP(c_List_Olist_OCons(_u18697), _u18699), _u18689))) | ( _u18701 != hAPP(c_List_Ofilter(_u18697, _u18703), _u18689)) | hBOOL(hAPP(_u18703, skolem497(_u18705, _u18703, _u18701, _u18699, _u18697, _u18690))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_order__fun_I1_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_order__fun_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u18706) | ~class_Enum_Oenum(_u18707) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18707, _u18706)), _u18708), _u18709)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18707), hAPP(hAPP(c_COMBS(_u18707, _u18706, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18706, tc_fun(_u18706, tc_HOL_Obool), _u18707), c_Orderings_Oord__class_Oless__eq(_u18706)), _u18708)), _u18709))) )).
% 12.54/12.75 cnf(fact_order__fun_I1_J-2, axiom, ( ~class_Orderings_Oorder(_u18706) | ~class_Enum_Oenum(_u18707) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18707), hAPP(hAPP(c_COMBS(_u18707, _u18706, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18706, tc_fun(_u18706, tc_HOL_Obool), _u18707), c_Orderings_Oord__class_Oless__eq(_u18706)), _u18708)), _u18709))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18707, _u18706)), _u18708), _u18709)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_enum__all ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_enum__all-1, axiom, ( ~class_Enum_Oenum(_u18712) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18712), _u18713)) | hBOOL(hAPP(_u18713, _u18710)) )).
% 12.54/12.75 cnf(fact_enum__all-2, axiom, ( ~class_Enum_Oenum(_u18712) | ~hBOOL(hAPP(_u18713, skolem498(_u18713, _u18712))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18712), _u18713)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_all__code ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_all__code-1, axiom, ( ~class_Enum_Oenum(_u18716) | ~hBOOL(hAPP(_u18717, skolem499(_u18717, _u18716))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18716), _u18717)) )).
% 12.54/12.75 cnf(fact_all__code-2, axiom, ( ~class_Enum_Oenum(_u18716) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18716), _u18717)) | hBOOL(hAPP(_u18717, _u18715)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_enum__all__prod__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_enum__all__prod__def-1, axiom, ( ~class_Enum_Oenum(_u18718) | ~class_Enum_Oenum(_u18719) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u18719, _u18718)), _u18720)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18719), hAPP(hAPP(c_COMBB(tc_fun(_u18718, tc_HOL_Obool), tc_HOL_Obool, _u18719), c_Enum_Oenum__class_Oenum__all(_u18718)), hAPP(hAPP(c_COMBB(tc_fun(_u18718, tc_prod(_u18719, _u18718)), tc_fun(_u18718, tc_HOL_Obool), _u18719), hAPP(c_COMBB(tc_prod(_u18719, _u18718), tc_HOL_Obool, _u18718), _u18720)), c_Product__Type_OPair(_u18719, _u18718))))) )).
% 12.54/12.75 cnf(fact_enum__all__prod__def-2, axiom, ( ~class_Enum_Oenum(_u18718) | ~class_Enum_Oenum(_u18719) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18719), hAPP(hAPP(c_COMBB(tc_fun(_u18718, tc_HOL_Obool), tc_HOL_Obool, _u18719), c_Enum_Oenum__class_Oenum__all(_u18718)), hAPP(hAPP(c_COMBB(tc_fun(_u18718, tc_prod(_u18719, _u18718)), tc_fun(_u18718, tc_HOL_Obool), _u18719), hAPP(c_COMBB(tc_prod(_u18719, _u18718), tc_HOL_Obool, _u18718), _u18720)), c_Product__Type_OPair(_u18719, _u18718))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u18719, _u18718)), _u18720)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_list__ball__nth ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_list__ball__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18722), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18723)), _u18724))) | hBOOL(hAPP(_u18725, hAPP(hAPP(c_List_Onth(_u18723), _u18724), _u18722))) | hBOOL(hAPP(hAPP(c_member(_u18723), skolem500(_u18725, _u18724, _u18723, _u18722)), hAPP(c_List_Oset(_u18723), _u18724))) )).
% 12.54/12.75 cnf(fact_list__ball__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18722), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18723)), _u18724))) | hBOOL(hAPP(_u18725, hAPP(hAPP(c_List_Onth(_u18723), _u18724), _u18722))) | ~hBOOL(hAPP(_u18725, skolem500(_u18725, _u18724, _u18723, _u18722))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sorted_OCons ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sorted_OCons-1, axiom, ( ~class_Orderings_Olinorder(_u18727) | ~c_List_Olinorder__class_Osorted(_u18727, _u18728) | c_List_Olinorder__class_Osorted(_u18727, hAPP(hAPP(c_List_Olist_OCons(_u18727), _u18729), _u18728)) | hBOOL(hAPP(hAPP(c_member(_u18727), skolem501(_u18729, _u18728, _u18727)), hAPP(c_List_Oset(_u18727), _u18728))) )).
% 12.54/12.75 cnf(fact_sorted_OCons-2, axiom, ( ~class_Orderings_Olinorder(_u18727) | ~c_List_Olinorder__class_Osorted(_u18727, _u18728) | c_List_Olinorder__class_Osorted(_u18727, hAPP(hAPP(c_List_Olist_OCons(_u18727), _u18729), _u18728)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18727), _u18729), skolem501(_u18729, _u18728, _u18727))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_list__ex__length ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_list__ex__length-1, axiom, ( ~c_List_Olist__ex(_u18735, _u18737, _u18739) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem502(_u18739, _u18737, _u18735)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18735)), _u18739))) )).
% 12.54/12.75 cnf(fact_list__ex__length-2, axiom, ( ~c_List_Olist__ex(_u18735, _u18737, _u18739) | hBOOL(hAPP(_u18737, hAPP(hAPP(c_List_Onth(_u18735), _u18739), skolem502(_u18739, _u18737, _u18735)))) )).
% 12.54/12.75 cnf(fact_list__ex__length-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18731), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18736)), _u18740))) | ~hBOOL(hAPP(_u18738, hAPP(hAPP(c_List_Onth(_u18736), _u18740), _u18731))) | c_List_Olist__ex(_u18736, _u18738, _u18740) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_in__set__conv__decomp ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_in__set__conv__decomp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18748), _u18750), hAPP(c_List_Oset(_u18748), _u18752))) | ( _u18752 = hAPP(hAPP(c_List_Oappend(_u18748), skolem503(_u18752, _u18750, _u18748)), hAPP(hAPP(c_List_Olist_OCons(_u18748), _u18750), skolem504(_u18752, _u18750, _u18748)))) )).
% 12.54/12.75 cnf(fact_in__set__conv__decomp-2, axiom, ( ( _u18753 != hAPP(hAPP(c_List_Oappend(_u18749), _u18744), hAPP(hAPP(c_List_Olist_OCons(_u18749), _u18751), _u18743))) | hBOOL(hAPP(hAPP(c_member(_u18749), _u18751), hAPP(c_List_Oset(_u18749), _u18753))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_list__ex__simps_I2_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_list__ex__simps_I2_J-1, axiom, ( ~c_List_Olist__ex(_u18754, _u18755, c_List_Olist_ONil(_u18754)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_list__ex__append ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_list__ex__append-1, axiom, ( ~c_List_Olist__ex(_u18760, _u18762, hAPP(hAPP(c_List_Oappend(_u18760), _u18764), _u18766)) | c_List_Olist__ex(_u18760, _u18762, _u18764) | c_List_Olist__ex(_u18760, _u18762, _u18766) )).
% 12.54/12.75 cnf(fact_list__ex__append-2, axiom, ( c_List_Olist__ex(_u18761, _u18763, hAPP(hAPP(c_List_Oappend(_u18761), _u18765), _u18767)) | ~c_List_Olist__ex(_u18761, _u18763, _u18765) )).
% 12.54/12.75 cnf(fact_list__ex__append-3, axiom, ( c_List_Olist__ex(_u18761, _u18763, hAPP(hAPP(c_List_Oappend(_u18761), _u18765), _u18767)) | ~c_List_Olist__ex(_u18761, _u18763, _u18767) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_list__ex__iff ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_list__ex__iff-1, axiom, ( ~c_List_Olist__ex(_u18773, _u18775, _u18777) | hBOOL(hAPP(hAPP(c_member(_u18773), skolem505(_u18777, _u18775, _u18773)), hAPP(c_List_Oset(_u18773), _u18777))) )).
% 12.54/12.75 cnf(fact_list__ex__iff-2, axiom, ( ~c_List_Olist__ex(_u18773, _u18775, _u18777) | hBOOL(hAPP(_u18775, skolem505(_u18777, _u18775, _u18773))) )).
% 12.54/12.75 cnf(fact_list__ex__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18774), _u18769), hAPP(c_List_Oset(_u18774), _u18778))) | ~hBOOL(hAPP(_u18776, _u18769)) | c_List_Olist__ex(_u18774, _u18776, _u18778) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_list__ex__rev ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_list__ex__rev-1, axiom, ( ~c_List_Olist__ex(_u18782, _u18784, hAPP(c_List_Orev(_u18782), _u18786)) | c_List_Olist__ex(_u18782, _u18784, _u18786) )).
% 12.54/12.75 cnf(fact_list__ex__rev-2, axiom, ( ~c_List_Olist__ex(_u18783, _u18785, _u18787) | c_List_Olist__ex(_u18783, _u18785, hAPP(c_List_Orev(_u18783), _u18787)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_list__ex__simps_I1_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_list__ex__simps_I1_J-1, axiom, ( ~c_List_Olist__ex(_u18792, _u18794, hAPP(hAPP(c_List_Olist_OCons(_u18792), _u18796), _u18798)) | hBOOL(hAPP(_u18794, _u18796)) | c_List_Olist__ex(_u18792, _u18794, _u18798) )).
% 12.54/12.75 cnf(fact_list__ex__simps_I1_J-2, axiom, ( c_List_Olist__ex(_u18793, _u18795, hAPP(hAPP(c_List_Olist_OCons(_u18793), _u18797), _u18799)) | ~hBOOL(hAPP(_u18795, _u18797)) )).
% 12.54/12.75 cnf(fact_list__ex__simps_I1_J-3, axiom, ( c_List_Olist__ex(_u18793, _u18795, hAPP(hAPP(c_List_Olist_OCons(_u18793), _u18797), _u18799)) | ~c_List_Olist__ex(_u18793, _u18795, _u18799) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_in__set__conv__decomp__first ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_in__set__conv__decomp__first-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18807), _u18809), hAPP(c_List_Oset(_u18807), _u18811))) | ( _u18811 = hAPP(hAPP(c_List_Oappend(_u18807), skolem506(_u18811, _u18809, _u18807)), hAPP(hAPP(c_List_Olist_OCons(_u18807), _u18809), skolem507(_u18811, _u18809, _u18807)))) )).
% 12.54/12.75 cnf(fact_in__set__conv__decomp__first-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18807), _u18809), hAPP(c_List_Oset(_u18807), _u18811))) | ~hBOOL(hAPP(hAPP(c_member(_u18807), _u18809), hAPP(c_List_Oset(_u18807), skolem506(_u18811, _u18809, _u18807)))) )).
% 12.54/12.75 cnf(fact_in__set__conv__decomp__first-3, axiom, ( ( _u18812 != hAPP(hAPP(c_List_Oappend(_u18808), _u18803), hAPP(hAPP(c_List_Olist_OCons(_u18808), _u18810), _u18802))) | hBOOL(hAPP(hAPP(c_member(_u18808), _u18810), hAPP(c_List_Oset(_u18808), _u18803))) | hBOOL(hAPP(hAPP(c_member(_u18808), _u18810), hAPP(c_List_Oset(_u18808), _u18812))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_in__set__conv__decomp__last ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_in__set__conv__decomp__last-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18820), _u18822), hAPP(c_List_Oset(_u18820), _u18824))) | ( _u18824 = hAPP(hAPP(c_List_Oappend(_u18820), skolem508(_u18824, _u18822, _u18820)), hAPP(hAPP(c_List_Olist_OCons(_u18820), _u18822), skolem509(_u18824, _u18822, _u18820)))) )).
% 12.54/12.75 cnf(fact_in__set__conv__decomp__last-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18820), _u18822), hAPP(c_List_Oset(_u18820), _u18824))) | ~hBOOL(hAPP(hAPP(c_member(_u18820), _u18822), hAPP(c_List_Oset(_u18820), skolem509(_u18824, _u18822, _u18820)))) )).
% 12.54/12.75 cnf(fact_in__set__conv__decomp__last-3, axiom, ( ( _u18825 != hAPP(hAPP(c_List_Oappend(_u18821), _u18816), hAPP(hAPP(c_List_Olist_OCons(_u18821), _u18823), _u18815))) | hBOOL(hAPP(hAPP(c_member(_u18821), _u18823), hAPP(c_List_Oset(_u18821), _u18815))) | hBOOL(hAPP(hAPP(c_member(_u18821), _u18823), hAPP(c_List_Oset(_u18821), _u18825))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_list__all__length ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_list__all__length-1, axiom, ( ~c_List_Olist__all(_u18831, _u18833, _u18835) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18826), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18831)), _u18835))) | hBOOL(hAPP(_u18833, hAPP(hAPP(c_List_Onth(_u18831), _u18835), _u18826))) )).
% 12.54/12.75 cnf(fact_list__all__length-2, axiom, ( c_List_Olist__all(_u18832, _u18834, _u18836) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem510(_u18836, _u18834, _u18832)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18832)), _u18836))) )).
% 12.54/12.75 cnf(fact_list__all__length-3, axiom, ( c_List_Olist__all(_u18832, _u18834, _u18836) | ~hBOOL(hAPP(_u18834, hAPP(hAPP(c_List_Onth(_u18832), _u18836), skolem510(_u18836, _u18834, _u18832)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_measure__function__int ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_measure__function__int-1, axiom, ( c_FunDef_Ois__measure(tc_Int_Oint, hAPP(c_Fun_Ocomp(tc_Int_Oint, tc_Nat_Onat, tc_Int_Oint, c_Int_Onat), c_Groups_Oabs__class_Oabs(tc_Int_Oint))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_list__all__simps_I2_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_list__all__simps_I2_J-1, axiom, ( c_List_Olist__all(_u18837, _u18838, c_List_Olist_ONil(_u18837)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_list__all__append ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_list__all__append-1, axiom, ( ~c_List_Olist__all(_u18843, _u18845, hAPP(hAPP(c_List_Oappend(_u18843), _u18847), _u18849)) | c_List_Olist__all(_u18843, _u18845, _u18847) )).
% 12.54/12.75 cnf(fact_list__all__append-2, axiom, ( ~c_List_Olist__all(_u18843, _u18845, hAPP(hAPP(c_List_Oappend(_u18843), _u18847), _u18849)) | c_List_Olist__all(_u18843, _u18845, _u18849) )).
% 12.54/12.75 cnf(fact_list__all__append-3, axiom, ( ~c_List_Olist__all(_u18844, _u18846, _u18848) | ~c_List_Olist__all(_u18844, _u18846, _u18850) | c_List_Olist__all(_u18844, _u18846, hAPP(hAPP(c_List_Oappend(_u18844), _u18848), _u18850)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_measure__size ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_measure__size-1, axiom, ( ~class_Nat_Osize(_u18851) | c_FunDef_Ois__measure(_u18851, c_Nat_Osize__class_Osize(_u18851)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_is__measure_Ointros ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_is__measure_Ointros-1, axiom, ( c_FunDef_Ois__measure(_u18852, _u18853) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_is__measure_Oequations ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_is__measure_Oequations-1, axiom, ( c_FunDef_Ois__measure(_u18854, _u18855) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_is__measure_Osimps ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_is__measure_Osimps-1, axiom, ( c_FunDef_Ois__measure(_u18856, _u18857) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_list__all__iff ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_list__all__iff-1, axiom, ( ~c_List_Olist__all(_u18863, _u18865, _u18867) | ~hBOOL(hAPP(hAPP(c_member(_u18863), _u18858), hAPP(c_List_Oset(_u18863), _u18867))) | hBOOL(hAPP(_u18865, _u18858)) )).
% 12.54/12.75 cnf(fact_list__all__iff-2, axiom, ( c_List_Olist__all(_u18864, _u18866, _u18868) | hBOOL(hAPP(hAPP(c_member(_u18864), skolem511(_u18868, _u18866, _u18864)), hAPP(c_List_Oset(_u18864), _u18868))) )).
% 12.54/12.75 cnf(fact_list__all__iff-3, axiom, ( c_List_Olist__all(_u18864, _u18866, _u18868) | ~hBOOL(hAPP(_u18866, skolem511(_u18868, _u18866, _u18864))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_measure__snd ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_measure__snd-1, axiom, ( ~c_FunDef_Ois__measure(_u18869, _u18870) | c_FunDef_Ois__measure(tc_prod(_u18871, _u18869), hAPP(hAPP(c_COMBB(_u18869, tc_Nat_Onat, tc_prod(_u18871, _u18869)), _u18870), c_Product__Type_Osnd(_u18871, _u18869))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_measure__fst ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_measure__fst-1, axiom, ( ~c_FunDef_Ois__measure(_u18872, _u18873) | c_FunDef_Ois__measure(tc_prod(_u18872, _u18874), hAPP(hAPP(c_COMBB(_u18872, tc_Nat_Onat, tc_prod(_u18872, _u18874)), _u18873), c_Product__Type_Ofst(_u18872, _u18874))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_list__all__rev ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_list__all__rev-1, axiom, ( ~c_List_Olist__all(_u18878, _u18880, hAPP(c_List_Orev(_u18878), _u18882)) | c_List_Olist__all(_u18878, _u18880, _u18882) )).
% 12.54/12.75 cnf(fact_list__all__rev-2, axiom, ( ~c_List_Olist__all(_u18879, _u18881, _u18883) | c_List_Olist__all(_u18879, _u18881, hAPP(c_List_Orev(_u18879), _u18883)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_list__all__simps_I1_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_list__all__simps_I1_J-1, axiom, ( ~c_List_Olist__all(_u18888, _u18890, hAPP(hAPP(c_List_Olist_OCons(_u18888), _u18892), _u18894)) | hBOOL(hAPP(_u18890, _u18892)) )).
% 12.54/12.75 cnf(fact_list__all__simps_I1_J-2, axiom, ( ~c_List_Olist__all(_u18888, _u18890, hAPP(hAPP(c_List_Olist_OCons(_u18888), _u18892), _u18894)) | c_List_Olist__all(_u18888, _u18890, _u18894) )).
% 12.54/12.75 cnf(fact_list__all__simps_I1_J-3, axiom, ( ~hBOOL(hAPP(_u18891, _u18893)) | ~c_List_Olist__all(_u18889, _u18891, _u18895) | c_List_Olist__all(_u18889, _u18891, hAPP(hAPP(c_List_Olist_OCons(_u18889), _u18893), _u18895)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_Ball__set__list__all ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_Ball__set__list__all-1, axiom, ( c_List_Olist__all(_u18901, _u18905, _u18903) | hBOOL(hAPP(hAPP(c_member(_u18901), skolem512(_u18905, _u18903, _u18901)), hAPP(c_List_Oset(_u18901), _u18903))) )).
% 12.54/12.75 cnf(fact_Ball__set__list__all-2, axiom, ( c_List_Olist__all(_u18901, _u18905, _u18903) | ~hBOOL(hAPP(_u18905, skolem512(_u18905, _u18903, _u18901))) )).
% 12.54/12.75 cnf(fact_Ball__set__list__all-3, axiom, ( ~c_List_Olist__all(_u18902, _u18906, _u18904) | ~hBOOL(hAPP(hAPP(c_member(_u18902), _u18897), hAPP(c_List_Oset(_u18902), _u18904))) | hBOOL(hAPP(_u18906, _u18897)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_list__all__iff__raw ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_list__all__iff__raw-1, axiom, ( ~c_List_Olist__all(_u18912, _u18914, _u18916) | ~hBOOL(hAPP(hAPP(c_member(_u18912), _u18907), hAPP(c_List_Oset(_u18912), _u18916))) | hBOOL(hAPP(_u18914, _u18907)) )).
% 12.54/12.75 cnf(fact_list__all__iff__raw-2, axiom, ( c_List_Olist__all(_u18913, _u18915, _u18917) | hBOOL(hAPP(hAPP(c_member(_u18913), skolem513(_u18917, _u18915, _u18913)), hAPP(c_List_Oset(_u18913), _u18917))) )).
% 12.54/12.75 cnf(fact_list__all__iff__raw-3, axiom, ( c_List_Olist__all(_u18913, _u18915, _u18917) | ~hBOOL(hAPP(_u18915, skolem513(_u18917, _u18915, _u18913))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_list__ex1__simps_I2_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_list__ex1__simps_I2_J-1, axiom, ( ~c_List_Olist__ex1(_u18922, _u18924, hAPP(hAPP(c_List_Olist_OCons(_u18922), _u18926), _u18928)) | ~hBOOL(hAPP(_u18924, _u18926)) | c_List_Olist__all(_u18922, hAPP(hAPP(c_COMBS(_u18922, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18922), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18922), c_fNot), _u18924))), hAPP(c_fequal, _u18926)), _u18928) )).
% 12.54/12.75 cnf(fact_list__ex1__simps_I2_J-2, axiom, ( ~c_List_Olist__ex1(_u18922, _u18924, hAPP(hAPP(c_List_Olist_OCons(_u18922), _u18926), _u18928)) | hBOOL(hAPP(_u18924, _u18926)) | c_List_Olist__ex1(_u18922, _u18924, _u18928) )).
% 12.54/12.75 cnf(fact_list__ex1__simps_I2_J-3, axiom, ( c_List_Olist__ex1(_u18923, _u18925, hAPP(hAPP(c_List_Olist_OCons(_u18923), _u18927), _u18929)) | hBOOL(hAPP(_u18925, _u18927)) | ~c_List_Olist__ex1(_u18923, _u18925, _u18929) )).
% 12.54/12.75 cnf(fact_list__ex1__simps_I2_J-4, axiom, ( c_List_Olist__ex1(_u18923, _u18925, hAPP(hAPP(c_List_Olist_OCons(_u18923), _u18927), _u18929)) | ~c_List_Olist__all(_u18923, hAPP(hAPP(c_COMBS(_u18923, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18923), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18923), c_fNot), _u18925))), hAPP(c_fequal, _u18927)), _u18929) | ~hBOOL(hAPP(_u18925, _u18927)) )).
% 12.54/12.75 cnf(fact_list__ex1__simps_I2_J-5, axiom, ( c_List_Olist__ex1(_u18923, _u18925, hAPP(hAPP(c_List_Olist_OCons(_u18923), _u18927), _u18929)) | ~c_List_Olist__all(_u18923, hAPP(hAPP(c_COMBS(_u18923, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18923), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18923), c_fNot), _u18925))), hAPP(c_fequal, _u18927)), _u18929) | ~c_List_Olist__ex1(_u18923, _u18925, _u18929) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_transfer__morphism__int__nat ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_transfer__morphism__int__nat-1, axiom, ( c_Nat__Transfer_Otransfer__morphism(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_COMBK(tc_HOL_Obool, tc_Nat_Onat), c_fTrue)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_list__ex1__simps_I1_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_list__ex1__simps_I1_J-1, axiom, ( ~c_List_Olist__ex1(_u18930, _u18931, c_List_Olist_ONil(_u18930)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_bool_Osize_I3_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_bool_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool), c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_bool_Osize_I4_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_bool_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool), c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_list__ex1__iff ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_list__ex1__iff-1, axiom, ( ~c_List_Olist__ex1(_u18939, _u18941, _u18943) | hBOOL(hAPP(hAPP(c_member(_u18939), skolem514(_u18943, _u18941, _u18939)), hAPP(c_List_Oset(_u18939), _u18943))) )).
% 12.54/12.75 cnf(fact_list__ex1__iff-2, axiom, ( ~c_List_Olist__ex1(_u18939, _u18941, _u18943) | hBOOL(hAPP(_u18941, skolem514(_u18943, _u18941, _u18939))) )).
% 12.54/12.75 cnf(fact_list__ex1__iff-3, axiom, ( ~c_List_Olist__ex1(_u18939, _u18941, _u18943) | ~hBOOL(hAPP(hAPP(c_member(_u18939), _u18932), hAPP(c_List_Oset(_u18939), _u18943))) | ~hBOOL(hAPP(_u18941, _u18932)) | ( _u18932 = skolem514(_u18943, _u18941, _u18939)) )).
% 12.54/12.75 cnf(fact_list__ex1__iff-4, axiom, ( c_List_Olist__ex1(_u18940, _u18942, _u18944) | ~hBOOL(hAPP(hAPP(c_member(_u18940), _u18935), hAPP(c_List_Oset(_u18940), _u18944))) | ~hBOOL(hAPP(_u18942, _u18935)) | hBOOL(hAPP(hAPP(c_member(_u18940), skolem515(_u18944, _u18942, _u18940, _u18935)), hAPP(c_List_Oset(_u18940), _u18944))) )).
% 12.54/12.75 cnf(fact_list__ex1__iff-5, axiom, ( c_List_Olist__ex1(_u18940, _u18942, _u18944) | ~hBOOL(hAPP(hAPP(c_member(_u18940), _u18935), hAPP(c_List_Oset(_u18940), _u18944))) | ~hBOOL(hAPP(_u18942, _u18935)) | hBOOL(hAPP(_u18942, skolem515(_u18944, _u18942, _u18940, _u18935))) )).
% 12.54/12.75 cnf(fact_list__ex1__iff-6, axiom, ( c_List_Olist__ex1(_u18940, _u18942, _u18944) | ~hBOOL(hAPP(hAPP(c_member(_u18940), _u18935), hAPP(c_List_Oset(_u18940), _u18944))) | ~hBOOL(hAPP(_u18942, _u18935)) | ( skolem515(_u18944, _u18942, _u18940, _u18935) != _u18935) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_New__DSequence_Oneg__decr__bind__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_New__DSequence_Oneg__decr__bind__def-1, axiom, ( ( _u18950 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u18952, _u18954, _u18956, _u18958), _u18950) = c_Lazy__Sequence_Ohit__bound(_u18954)) )).
% 12.54/12.75 cnf(fact_New__DSequence_Oneg__decr__bind__def-2, axiom, ( ( _u18951 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u18953, _u18955, _u18957, _u18959), _u18951) = c_Lazy__Sequence_Ohb__bind(_u18953, _u18955, hAPP(_u18957, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u18951), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBC(_u18953, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u18955))), _u18959), _u18951))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_New__DSequence_Opos__decr__bind__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_New__DSequence_Opos__decr__bind__def-1, axiom, ( ( _u18965 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u18967, _u18969, _u18971, _u18973), _u18965) = c_Lazy__Sequence_Oempty(_u18969)) )).
% 12.54/12.75 cnf(fact_New__DSequence_Opos__decr__bind__def-2, axiom, ( ( _u18966 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u18968, _u18970, _u18972, _u18974), _u18966) = hAPP(c_Lazy__Sequence_Obind(_u18968, _u18970, hAPP(_u18972, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u18966), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))), hAPP(hAPP(c_COMBC(_u18968, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u18970)), _u18974), _u18966))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_New__Random__Sequence_Oneg__decr__bind__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_New__Random__Sequence_Oneg__decr__bind__def-1, axiom, ( ( c_New__Random__Sequence_Oneg__decr__bind(_u18975, _u18976, _u18977, _u18978, _u18979, _u18980, _u18981) = c_New__DSequence_Oneg__decr__bind(_u18975, _u18976, hAPP(hAPP(hAPP(_u18977, _u18979), _u18980), _u18981), hAPP(hAPP(c_COMBC(_u18975, 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(_u18976)))), hAPP(hAPP(c_COMBC(_u18975, 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(_u18976))))), hAPP(hAPP(c_COMBC(_u18975, 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(_u18976)))))), _u18978), _u18979)), _u18980)), _u18981))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_New__Random__Sequence_Opos__decr__bind__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_New__Random__Sequence_Opos__decr__bind__def-1, axiom, ( ( c_New__Random__Sequence_Opos__decr__bind(_u18982, _u18983, _u18984, _u18985, _u18986, _u18987, _u18988) = c_New__DSequence_Opos__decr__bind(_u18982, _u18983, hAPP(hAPP(hAPP(_u18984, _u18986), _u18987), _u18988), hAPP(hAPP(c_COMBC(_u18982, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u18983))), hAPP(hAPP(c_COMBC(_u18982, 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(_u18983)))), hAPP(hAPP(c_COMBC(_u18982, 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(_u18983))))), _u18985), _u18986)), _u18987)), _u18988))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_New__DSequence_Oneg__bind__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_New__DSequence_Oneg__bind__def-1, axiom, ( ( hAPP(c_New__DSequence_Oneg__bind(_u18989, _u18990, _u18991, _u18992), _u18993) = c_Lazy__Sequence_Ohb__bind(_u18989, _u18990, hAPP(_u18991, _u18993), hAPP(hAPP(c_COMBC(_u18989, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u18990))), _u18992), _u18993))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_New__DSequence_Opos__empty__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_New__DSequence_Opos__empty__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__empty(_u18994), _u18995) = c_Lazy__Sequence_Oempty(_u18994)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_pos__empty__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_pos__empty__def-1, axiom, ( ( c_New__Random__Sequence_Opos__empty(_u18996, _u18997, _u18998, _u18999) = c_New__DSequence_Opos__empty(_u18996)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_neg__bind__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_neg__bind__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(_u19000, _u19001, _u19002, _u19003), _u19004), _u19005), _u19006) = c_New__DSequence_Oneg__bind(_u19000, _u19001, hAPP(hAPP(hAPP(_u19002, _u19004), _u19005), _u19006), hAPP(hAPP(c_COMBC(_u19000, 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(_u19001)))), hAPP(hAPP(c_COMBC(_u19000, 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(_u19001))))), hAPP(hAPP(c_COMBC(_u19000, 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(_u19001)))))), _u19003), _u19004)), _u19005)), _u19006))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_New__DSequence_Opos__bind__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_New__DSequence_Opos__bind__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__bind(_u19007, _u19008, _u19009, _u19010), _u19011) = hAPP(c_Lazy__Sequence_Obind(_u19007, _u19008, hAPP(_u19009, _u19011)), hAPP(hAPP(c_COMBC(_u19007, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19008)), _u19010), _u19011))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_neg__map__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_neg__map__def-1, axiom, ( ( c_New__Random__Sequence_Oneg__map(_u19012, _u19013, _u19014, _u19015) = c_New__Random__Sequence_Oneg__bind(_u19012, _u19013, _u19015, hAPP(c_Fun_Ocomp(_u19013, 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(_u19013)))))), _u19012, c_New__Random__Sequence_Oneg__single(_u19013)), _u19014))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_neg__single__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_neg__single__def-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(_u19016), _u19017), _u19018), _u19019), _u19020) = c_New__DSequence_Oneg__single(_u19016, _u19017)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_pos__bind__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_pos__bind__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(_u19021, _u19022, _u19023, _u19024), _u19025), _u19026), _u19027) = c_New__DSequence_Opos__bind(_u19021, _u19022, hAPP(hAPP(hAPP(_u19023, _u19025), _u19026), _u19027), hAPP(hAPP(c_COMBC(_u19021, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19022))), hAPP(hAPP(c_COMBC(_u19021, 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(_u19022)))), hAPP(hAPP(c_COMBC(_u19021, 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(_u19022))))), _u19024), _u19025)), _u19026)), _u19027))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_New__DSequence_Oneg__single__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_New__DSequence_Oneg__single__def-1, axiom, ( ( hAPP(c_New__DSequence_Oneg__single(_u19028, _u19029), _u19030) = c_Lazy__Sequence_Ohb__single(_u19028, _u19029)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_pos__map__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_pos__map__def-1, axiom, ( ( c_New__Random__Sequence_Opos__map(_u19031, _u19032, _u19033, _u19034) = c_New__Random__Sequence_Opos__bind(_u19031, _u19032, _u19034, hAPP(c_Fun_Ocomp(_u19032, 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(_u19032))))), _u19031, c_New__Random__Sequence_Opos__single(_u19032)), _u19033))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_pos__single__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_pos__single__def-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(_u19035), _u19036), _u19037), _u19038), _u19039) = c_New__DSequence_Opos__single(_u19035, _u19036)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_length__splice ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_length__splice-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19040)), c_List_Osplice(_u19040, _u19041, _u19042)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19040)), _u19041)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19040)), _u19042))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_splice_Osimps_I3_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_splice_Osimps_I3_J-1, axiom, ( ( c_List_Osplice(_u19043, hAPP(hAPP(c_List_Olist_OCons(_u19043), _u19044), _u19045), hAPP(hAPP(c_List_Olist_OCons(_u19043), _u19046), _u19047)) = hAPP(hAPP(c_List_Olist_OCons(_u19043), _u19044), hAPP(hAPP(c_List_Olist_OCons(_u19043), _u19046), c_List_Osplice(_u19043, _u19045, _u19047)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_splice__Nil2 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_splice__Nil2-1, axiom, ( ( c_List_Osplice(_u19048, _u19049, c_List_Olist_ONil(_u19048)) = _u19049) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_splice_Osimps_I1_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_splice_Osimps_I1_J-1, axiom, ( ( c_List_Osplice(_u19050, c_List_Olist_ONil(_u19050), _u19051) = _u19051) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_splice_Osimps_I2_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_splice_Osimps_I2_J-1, axiom, ( ( c_List_Osplice(_u19052, hAPP(hAPP(c_List_Olist_OCons(_u19052), _u19053), _u19054), c_List_Olist_ONil(_u19052)) = hAPP(hAPP(c_List_Olist_OCons(_u19052), _u19053), _u19054)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_New__DSequence_Opos__single__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_New__DSequence_Opos__single__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__single(_u19055, _u19056), _u19057) = hAPP(c_Lazy__Sequence_Osingle(_u19055), _u19056)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_acyclicP__converse ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_acyclicP__converse-1, axiom, ( ~c_Wellfounded_Oacyclic(_u19060, hAPP(c_Set_OCollect(tc_prod(_u19060, _u19060)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19060, _u19060, tc_HOL_Obool), c_Predicate_Oconversep(_u19060, _u19060, _u19062)))) | c_Wellfounded_Oacyclic(_u19060, hAPP(c_Set_OCollect(tc_prod(_u19060, _u19060)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19060, _u19060, tc_HOL_Obool), _u19062))) )).
% 12.54/12.75 cnf(fact_acyclicP__converse-2, axiom, ( ~c_Wellfounded_Oacyclic(_u19061, hAPP(c_Set_OCollect(tc_prod(_u19061, _u19061)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19061, _u19061, tc_HOL_Obool), _u19063))) | c_Wellfounded_Oacyclic(_u19061, hAPP(c_Set_OCollect(tc_prod(_u19061, _u19061)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19061, _u19061, tc_HOL_Obool), c_Predicate_Oconversep(_u19061, _u19061, _u19063)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_converse__meet ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_converse__meet-1, axiom, ( ( c_Predicate_Oconversep(_u19064, _u19065, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19064, tc_fun(_u19065, tc_HOL_Obool))), _u19066), _u19067)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19065, tc_fun(_u19064, tc_HOL_Obool))), c_Predicate_Oconversep(_u19064, _u19065, _u19066)), c_Predicate_Oconversep(_u19064, _u19065, _u19067))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_converse__join ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_converse__join-1, axiom, ( ( c_Predicate_Oconversep(_u19068, _u19069, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19068, tc_fun(_u19069, tc_HOL_Obool))), _u19070), _u19071)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19069, tc_fun(_u19068, tc_HOL_Obool))), c_Predicate_Oconversep(_u19068, _u19069, _u19070)), c_Predicate_Oconversep(_u19068, _u19069, _u19071))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_conversep__eq ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_conversep__eq-1, axiom, ( ( c_Predicate_Oconversep(_u19072, _u19072, c_fequal) = c_fequal) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_conversep__conversep ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_conversep__conversep-1, axiom, ( ( c_Predicate_Oconversep(_u19073, _u19074, c_Predicate_Oconversep(_u19074, _u19073, _u19075)) = _u19075) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_conversep__iff ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_conversep__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u19085, _u19089), _u19087)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19081, _u19083, _u19085), _u19087), _u19089)) )).
% 12.54/12.75 cnf(fact_conversep__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u19086, _u19090), _u19088)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19082, _u19084, _u19086), _u19088), _u19090)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_conversep_Oequations ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_conversep_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u19100, _u19104), _u19102)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19096, _u19098, _u19100), _u19102), _u19104)) )).
% 12.54/12.75 cnf(fact_conversep_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u19101, _u19105), _u19103)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19097, _u19099, _u19101), _u19103), _u19105)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_conversep_Ointros ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_conversep_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u19106, _u19107), _u19108)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19109, _u19110, _u19106), _u19108), _u19107)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_conversepD ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_conversepD-1, axiom, ( hBOOL(hAPP(hAPP(_u19113, _u19115), _u19114)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19111, _u19112, _u19113), _u19114), _u19115)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_conversep__noteq ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_conversep__noteq-1, axiom, ( ( _u19121 != _u19123) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19119, _u19119, hAPP(hAPP(c_COMBB(tc_fun(_u19119, tc_HOL_Obool), tc_fun(_u19119, tc_HOL_Obool), _u19119), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19119), c_fNot)), c_fequal)), _u19121), _u19123)) )).
% 12.54/12.75 cnf(fact_conversep__noteq-2, axiom, ( ( _u19122 = _u19124) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19120, _u19120, hAPP(hAPP(c_COMBB(tc_fun(_u19120, tc_HOL_Obool), tc_fun(_u19120, tc_HOL_Obool), _u19120), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19120), c_fNot)), c_fequal)), _u19122), _u19124)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_converse__pred__comp ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_converse__pred__comp-1, axiom, ( ( c_Predicate_Oconversep(_u19125, _u19126, c_Predicate_Opred__comp(_u19125, _u19127, _u19126, _u19128, _u19129)) = c_Predicate_Opred__comp(_u19126, _u19127, _u19125, c_Predicate_Oconversep(_u19127, _u19126, _u19129), c_Predicate_Oconversep(_u19125, _u19127, _u19128))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_conversep__converse__eq ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_conversep__converse__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19135, _u19137, hAPP(hAPP(c_COMBC(_u19135, tc_fun(tc_prod(_u19135, _u19137), tc_HOL_Obool), tc_fun(_u19137, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19137, tc_fun(tc_fun(tc_prod(_u19135, _u19137), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u19135, _u19137), tc_HOL_Obool), tc_fun(_u19137, tc_HOL_Obool)), _u19135), c_COMBC(_u19137, tc_fun(tc_prod(_u19135, _u19137), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19137, tc_prod(_u19135, _u19137)), tc_fun(_u19137, tc_fun(tc_fun(tc_prod(_u19135, _u19137), tc_HOL_Obool), tc_HOL_Obool)), _u19135), hAPP(c_COMBB(tc_prod(_u19135, _u19137), tc_fun(tc_fun(tc_prod(_u19135, _u19137), tc_HOL_Obool), tc_HOL_Obool), _u19137), c_member(tc_prod(_u19135, _u19137)))), c_Product__Type_OPair(_u19135, _u19137)))), _u19139)), _u19141), _u19143)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19137, _u19135)), hAPP(hAPP(c_Product__Type_OPair(_u19137, _u19135), _u19141), _u19143)), hAPP(c_Relation_Oconverse(_u19135, _u19137), _u19139))) )).
% 12.54/12.75 cnf(fact_conversep__converse__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19138, _u19136)), hAPP(hAPP(c_Product__Type_OPair(_u19138, _u19136), _u19142), _u19144)), hAPP(c_Relation_Oconverse(_u19136, _u19138), _u19140))) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19136, _u19138, hAPP(hAPP(c_COMBC(_u19136, tc_fun(tc_prod(_u19136, _u19138), tc_HOL_Obool), tc_fun(_u19138, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19138, tc_fun(tc_fun(tc_prod(_u19136, _u19138), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u19136, _u19138), tc_HOL_Obool), tc_fun(_u19138, tc_HOL_Obool)), _u19136), c_COMBC(_u19138, tc_fun(tc_prod(_u19136, _u19138), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19138, tc_prod(_u19136, _u19138)), tc_fun(_u19138, tc_fun(tc_fun(tc_prod(_u19136, _u19138), tc_HOL_Obool), tc_HOL_Obool)), _u19136), hAPP(c_COMBB(tc_prod(_u19136, _u19138), tc_fun(tc_fun(tc_prod(_u19136, _u19138), tc_HOL_Obool), tc_HOL_Obool), _u19138), c_member(tc_prod(_u19136, _u19138)))), c_Product__Type_OPair(_u19136, _u19138)))), _u19140)), _u19142), _u19144)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_ ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_-1, axiom, ( ( c_Lazy__Sequence_Oproduct(_u19145, _u19146, _u19147, _u19148) = hAPP(c_Lazy__Sequence_Obind(_u19145, tc_prod(_u19145, _u19146), _u19147), hAPP(hAPP(c_COMBB(tc_fun(_u19146, tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19145, _u19146))), tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19145, _u19146)), _u19145), c_Lazy__Sequence_Obind(_u19146, tc_prod(_u19145, _u19146), _u19148)), hAPP(hAPP(c_COMBB(tc_fun(_u19146, tc_prod(_u19145, _u19146)), tc_fun(_u19146, tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19145, _u19146))), _u19145), hAPP(c_COMBB(tc_prod(_u19145, _u19146), tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19145, _u19146)), _u19146), c_Lazy__Sequence_Osingle(tc_prod(_u19145, _u19146)))), c_Product__Type_OPair(_u19145, _u19146))))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_tl__replicate ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_tl__replicate-1, axiom, ( ( _u19149 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Otl(_u19150), c_List_Oreplicate(_u19150, _u19149, _u19151)) = c_List_Oreplicate(_u19150, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19149), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u19151)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_replicate__length__filter ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_replicate__length__filter-1, axiom, ( ( c_List_Oreplicate(_u19152, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19152)), hAPP(c_List_Ofilter(_u19152, hAPP(c_fequal, _u19153)), _u19154)), _u19153) = hAPP(c_List_Ofilter(_u19152, hAPP(c_fequal, _u19153)), _u19154)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_length__replicate ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_length__replicate-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19155)), c_List_Oreplicate(_u19155, _u19156, _u19157)) = _u19156) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_map__replicate__const ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_map__replicate__const-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u19158, _u19159), hAPP(c_COMBK(_u19159, _u19158), _u19160)), _u19161) = c_List_Oreplicate(_u19159, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19158)), _u19161), _u19160)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_replicate__app__Cons__same ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_replicate__app__Cons__same-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19162), c_List_Oreplicate(_u19162, _u19163, _u19164)), hAPP(hAPP(c_List_Olist_OCons(_u19162), _u19164), _u19165)) = hAPP(hAPP(c_List_Olist_OCons(_u19162), _u19164), hAPP(hAPP(c_List_Oappend(_u19162), c_List_Oreplicate(_u19162, _u19163, _u19164)), _u19165))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_replicate__Suc ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_replicate__Suc-1, axiom, ( ( c_List_Oreplicate(_u19166, hAPP(c_Nat_OSuc, _u19167), _u19168) = hAPP(hAPP(c_List_Olist_OCons(_u19166), _u19168), c_List_Oreplicate(_u19166, _u19167, _u19168))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_rev__replicate ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_rev__replicate-1, axiom, ( ( hAPP(c_List_Orev(_u19169), c_List_Oreplicate(_u19169, _u19170, _u19171)) = c_List_Oreplicate(_u19169, _u19170, _u19171)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_take__replicate ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_take__replicate-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u19172), _u19173), c_List_Oreplicate(_u19172, _u19174, _u19175)) = c_List_Oreplicate(_u19172, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u19173), _u19174), _u19175)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_hd__replicate ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_hd__replicate-1, axiom, ( ( _u19176 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Ohd(_u19177), c_List_Oreplicate(_u19177, _u19176, _u19178)) = _u19178) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_drop__replicate ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_drop__replicate-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19179), _u19180), c_List_Oreplicate(_u19179, _u19181, _u19182)) = c_List_Oreplicate(_u19179, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19181), _u19180), _u19182)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_last__replicate ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_last__replicate-1, axiom, ( ( _u19183 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olast(_u19184, c_List_Oreplicate(_u19184, _u19183, _u19185)) = _u19185) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_zip__replicate ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_zip__replicate-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u19186, _u19187), c_List_Oreplicate(_u19186, _u19188, _u19189)), c_List_Oreplicate(_u19187, _u19190, _u19191)) = c_List_Oreplicate(tc_prod(_u19186, _u19187), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u19188), _u19190), hAPP(hAPP(c_Product__Type_OPair(_u19186, _u19187), _u19189), _u19191))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_Ball__set__replicate ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_Ball__set__replicate-1, axiom, ( hBOOL(hAPP(_u19204, _u19202)) | ( _u19200 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19198), skolem516(_u19204, _u19202, _u19200, _u19198)), hAPP(c_List_Oset(_u19198), c_List_Oreplicate(_u19198, _u19200, _u19202)))) )).
% 12.54/12.75 cnf(fact_Ball__set__replicate-2, axiom, ( hBOOL(hAPP(_u19204, _u19202)) | ( _u19200 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u19204, skolem516(_u19204, _u19202, _u19200, _u19198))) )).
% 12.54/12.75 cnf(fact_Ball__set__replicate-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19199), _u19193), hAPP(c_List_Oset(_u19199), c_List_Oreplicate(_u19199, _u19201, _u19203)))) | hBOOL(hAPP(_u19205, _u19193)) | ~hBOOL(hAPP(_u19205, _u19203)) )).
% 12.54/12.75 cnf(fact_Ball__set__replicate-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19199), _u19193), hAPP(c_List_Oset(_u19199), c_List_Oreplicate(_u19199, _u19201, _u19203)))) | hBOOL(hAPP(_u19205, _u19193)) | ( _u19201 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_Bex__set__replicate ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_Bex__set__replicate-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19212), _u19206), hAPP(c_List_Oset(_u19212), c_List_Oreplicate(_u19212, _u19214, _u19216)))) | ~hBOOL(hAPP(_u19218, _u19206)) | hBOOL(hAPP(_u19218, _u19216)) )).
% 12.54/12.75 cnf(fact_Bex__set__replicate-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19212), _u19206), hAPP(c_List_Oset(_u19212), c_List_Oreplicate(_u19212, _u19214, _u19216)))) | ~hBOOL(hAPP(_u19218, _u19206)) | ( _u19214 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.75 cnf(fact_Bex__set__replicate-3, axiom, ( ~hBOOL(hAPP(_u19219, _u19217)) | ( _u19215 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19213), skolem517(_u19219, _u19217, _u19215, _u19213)), hAPP(c_List_Oset(_u19213), c_List_Oreplicate(_u19213, _u19215, _u19217)))) )).
% 12.54/12.75 cnf(fact_Bex__set__replicate-4, axiom, ( ~hBOOL(hAPP(_u19219, _u19217)) | ( _u19215 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u19219, skolem517(_u19219, _u19217, _u19215, _u19213))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_replicate__eq__replicate ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_replicate__eq__replicate-1, axiom, ( ( c_List_Oreplicate(_u19225, _u19227, _u19229) != c_List_Oreplicate(_u19225, _u19231, _u19233)) | ( _u19227 = _u19231) )).
% 12.54/12.75 cnf(fact_replicate__eq__replicate-2, axiom, ( ( c_List_Oreplicate(_u19225, _u19227, _u19229) != c_List_Oreplicate(_u19225, _u19231, _u19233)) | ( _u19227 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19229 = _u19233) )).
% 12.54/12.75 cnf(fact_replicate__eq__replicate-3, axiom, ( ( c_List_Oreplicate(_u19226, _u19228, _u19230) = c_List_Oreplicate(_u19226, _u19232, _u19234)) | ( _u19228 != _u19232) | ( _u19228 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.75 cnf(fact_replicate__eq__replicate-4, axiom, ( ( c_List_Oreplicate(_u19226, _u19228, _u19230) = c_List_Oreplicate(_u19226, _u19232, _u19234)) | ( _u19228 != _u19232) | ( _u19230 != _u19234) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_nth__replicate ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_nth__replicate-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19235), _u19236)) | ( hAPP(hAPP(c_List_Onth(_u19237), c_List_Oreplicate(_u19237, _u19236, _u19238)), _u19235) = _u19238) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_append__replicate__commute ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_append__replicate__commute-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19239), c_List_Oreplicate(_u19239, _u19240, _u19241)), c_List_Oreplicate(_u19239, _u19242, _u19241)) = hAPP(hAPP(c_List_Oappend(_u19239), c_List_Oreplicate(_u19239, _u19242, _u19241)), c_List_Oreplicate(_u19239, _u19240, _u19241))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_replicate__add ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_replicate__add-1, axiom, ( ( c_List_Oreplicate(_u19243, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19244), _u19245), _u19246) = hAPP(hAPP(c_List_Oappend(_u19243), c_List_Oreplicate(_u19243, _u19244, _u19246)), c_List_Oreplicate(_u19243, _u19245, _u19246))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_filter__replicate ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_filter__replicate-1, axiom, ( ~hBOOL(hAPP(_u19251, _u19253)) | ( hAPP(c_List_Ofilter(_u19255, _u19251), c_List_Oreplicate(_u19255, _u19257, _u19253)) = c_List_Oreplicate(_u19255, _u19257, _u19253)) )).
% 12.54/12.75 cnf(fact_filter__replicate-2, axiom, ( hBOOL(hAPP(_u19252, _u19254)) | ( hAPP(c_List_Ofilter(_u19256, _u19252), c_List_Oreplicate(_u19256, _u19258, _u19254)) = c_List_Olist_ONil(_u19256)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_concat__replicate__trivial ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_concat__replicate__trivial-1, axiom, ( ( c_List_Oconcat(_u19259, c_List_Oreplicate(tc_List_Olist(_u19259), _u19260, c_List_Olist_ONil(_u19259))) = c_List_Olist_ONil(_u19259)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_replicate__empty ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_replicate__empty-1, axiom, ( ( _u19266 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Oreplicate(_u19264, _u19266, _u19268) != c_List_Olist_ONil(_u19264)) )).
% 12.54/12.75 cnf(fact_replicate__empty-2, axiom, ( ( _u19267 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Oreplicate(_u19265, _u19267, _u19269) = c_List_Olist_ONil(_u19265)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_empty__replicate ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_empty__replicate-1, axiom, ( ( _u19275 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olist_ONil(_u19273) != c_List_Oreplicate(_u19273, _u19275, _u19277)) )).
% 12.54/12.75 cnf(fact_empty__replicate-2, axiom, ( ( _u19276 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olist_ONil(_u19274) = c_List_Oreplicate(_u19274, _u19276, _u19278)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_replicate__0 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_replicate__0-1, axiom, ( ( c_List_Oreplicate(_u19279, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u19280) = c_List_Olist_ONil(_u19279)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_map__replicate ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_map__replicate-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u19281, _u19282), _u19283), c_List_Oreplicate(_u19281, _u19284, _u19285)) = c_List_Oreplicate(_u19282, _u19284, hAPP(_u19283, _u19285))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_in__set__replicate ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_in__set__replicate-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19290), _u19292), hAPP(c_List_Oset(_u19290), c_List_Oreplicate(_u19290, _u19294, _u19296)))) | ( _u19292 = _u19296) )).
% 12.54/12.75 cnf(fact_in__set__replicate-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19290), _u19292), hAPP(c_List_Oset(_u19290), c_List_Oreplicate(_u19290, _u19294, _u19296)))) | ( _u19294 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.75 cnf(fact_in__set__replicate-3, axiom, ( ( _u19293 != _u19297) | ( _u19295 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19291), _u19293), hAPP(c_List_Oset(_u19291), c_List_Oreplicate(_u19291, _u19295, _u19297)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_replicate__append__same ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_replicate__append__same-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19298), c_List_Oreplicate(_u19298, _u19299, _u19300)), hAPP(hAPP(c_List_Olist_OCons(_u19298), _u19300), c_List_Olist_ONil(_u19298))) = hAPP(hAPP(c_List_Olist_OCons(_u19298), _u19300), c_List_Oreplicate(_u19298, _u19299, _u19300))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_map__replicate__trivial ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_map__replicate__trivial-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u19301), hAPP(c_COMBK(_u19301, tc_Nat_Onat), _u19302)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u19303)) = c_List_Oreplicate(_u19301, _u19303, _u19302)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_set__replicate ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_set__replicate-1, axiom, ( ( _u19304 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u19305), c_List_Oreplicate(_u19305, _u19304, _u19306)) = hAPP(hAPP(c_Set_Oinsert(_u19305), _u19306), c_Orderings_Obot__class_Obot(tc_fun(_u19305, tc_HOL_Obool)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_set__replicate__conv__if ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_set__replicate__conv__if-1, axiom, ( ( _u19310 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u19312), c_List_Oreplicate(_u19312, _u19310, _u19314)) = c_Orderings_Obot__class_Obot(tc_fun(_u19312, tc_HOL_Obool))) )).
% 12.54/12.75 cnf(fact_set__replicate__conv__if-2, axiom, ( ( _u19311 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u19313), c_List_Oreplicate(_u19313, _u19311, _u19315)) = hAPP(hAPP(c_Set_Oinsert(_u19313), _u19315), c_Orderings_Obot__class_Obot(tc_fun(_u19313, tc_HOL_Obool)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_set__replicate__Suc ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_set__replicate__Suc-1, axiom, ( ( hAPP(c_List_Oset(_u19316), c_List_Oreplicate(_u19316, hAPP(c_Nat_OSuc, _u19317), _u19318)) = hAPP(hAPP(c_Set_Oinsert(_u19316), _u19318), c_Orderings_Obot__class_Obot(tc_fun(_u19316, tc_HOL_Obool)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_small__lazy__list_Osimps ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_small__lazy__list_Osimps-1, axiom, ( ~class_Lazy__Sequence_Osmall__lazy(_u19319) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(_u19319), _u19320) = c_Lazy__Sequence_Oappend(tc_List_Olist(_u19319), hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(_u19319)), c_List_Olist_ONil(_u19319)), hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19319))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u19320)), hAPP(c_Lazy__Sequence_Obind(tc_prod(_u19319, tc_List_Olist(_u19319)), tc_List_Olist(_u19319), c_Lazy__Sequence_Oproduct(_u19319, tc_List_Olist(_u19319), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19319, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u19320), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(_u19319), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u19320), c_Groups_Oone__class_Oone(tc_Int_Oint))))), hAPP(c_Product__Type_Oprod_Oprod__case(_u19319, tc_List_Olist(_u19319), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19319))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u19319), tc_List_Olist(_u19319)), tc_fun(tc_List_Olist(_u19319), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19319))), _u19319), hAPP(c_COMBB(tc_List_Olist(_u19319), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19319)), tc_List_Olist(_u19319)), c_Lazy__Sequence_Osingle(tc_List_Olist(_u19319)))), c_List_Olist_OCons(_u19319))))), c_Lazy__Sequence_Oempty(tc_List_Olist(_u19319))))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_eq__comp__r ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_eq__comp__r-1, axiom, ( ( c_Predicate_Opred__comp(_u19321, _u19321, _u19321, c_fequal, c_Predicate_Opred__comp(_u19321, _u19321, _u19321, _u19322, c_fequal)) = _u19322) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_small__lazy__prod__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_small__lazy__prod__def-1, axiom, ( ~class_Lazy__Sequence_Osmall__lazy(_u19323) | ~class_Lazy__Sequence_Osmall__lazy(_u19324) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_prod(_u19323, _u19324), _u19325) = c_Lazy__Sequence_Oproduct(_u19323, _u19324, c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19323, _u19325), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19324, _u19325))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_New__DSequence_Opos__union__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_New__DSequence_Opos__union__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__union(_u19326, _u19327, _u19328), _u19329) = c_Lazy__Sequence_Oappend(_u19326, hAPP(_u19327, _u19329), hAPP(_u19328, _u19329))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_lazy__sequence_Osize_I4_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_lazy__sequence_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19330)), c_Lazy__Sequence_Olazy__sequence_OInsert(_u19330, _u19331, _u19332)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19330)), _u19332)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact__01 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact__01-1, axiom, ( ( c_Lazy__Sequence_Oappend(_u19333, c_Lazy__Sequence_Olazy__sequence_OInsert(_u19333, _u19334, _u19335), _u19336) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u19333, _u19334, c_Lazy__Sequence_Oappend(_u19333, _u19335, _u19336))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_lazy__sequence_Oinject ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_lazy__sequence_Oinject-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19342, _u19344, _u19346) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u19342, _u19348, _u19350)) | ( _u19344 = _u19348) )).
% 12.54/12.75 cnf(fact_lazy__sequence_Oinject-2, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19342, _u19344, _u19346) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u19342, _u19348, _u19350)) | ( _u19346 = _u19350) )).
% 12.54/12.75 cnf(fact_lazy__sequence_Oinject-3, axiom, ( ( _u19345 != _u19349) | ( _u19347 != _u19351) | ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19343, _u19345, _u19347) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u19343, _u19349, _u19351)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_pos__union__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_pos__union__def-1, axiom, ( ( c_New__Random__Sequence_Opos__union(_u19352, _u19353, _u19354, _u19355, _u19356, _u19357) = c_New__DSequence_Opos__union(_u19352, hAPP(hAPP(hAPP(_u19353, _u19355), _u19356), _u19357), hAPP(hAPP(hAPP(_u19354, _u19355), _u19356), _u19357))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_lazy__sequence_Osize_I2_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_lazy__sequence_Osize_I2_J-1, axiom, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19358, _u19359), c_Lazy__Sequence_Olazy__sequence_OInsert(_u19358, _u19360, _u19361)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u19359, _u19360)), hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19358, _u19359), _u19361))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_small__lazy_H_Osimps ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_small__lazy_H_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19364), _u19366)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19364, _u19366) = c_Lazy__Sequence_Oempty(tc_Int_Oint)) )).
% 12.54/12.75 cnf(fact_small__lazy_H_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19365), _u19367)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19365, _u19367) = c_Lazy__Sequence_Oappend(tc_Int_Oint, hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint), _u19367), c_Lazy__Sequence_Osmall__lazy_H(_u19365, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u19367), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_small__lazy_H_Opsimps ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_small__lazy_H_Opsimps-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u19368), _u19369))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19368), _u19369)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19368, _u19369) = c_Lazy__Sequence_Oempty(tc_Int_Oint)) )).
% 12.54/12.75 cnf(fact_small__lazy_H_Opsimps-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u19368), _u19369))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19368), _u19369)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19368, _u19369) = c_Lazy__Sequence_Oappend(tc_Int_Oint, hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint), _u19369), c_Lazy__Sequence_Osmall__lazy_H(_u19368, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u19369), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_small__lazy__int__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_small__lazy__int__def-1, axiom, ( ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_Int_Oint, _u19370) = c_Lazy__Sequence_Osmall__lazy_H(_u19370, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u19370))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_small__lazy_H_Opinduct ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_small__lazy_H_Opinduct-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u19373), _u19374))) | hBOOL(hAPP(hAPP(_u19375, _u19373), _u19374)) | hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), skolem518(_u19375, _u19374, _u19373)), skolem519(_u19375, _u19374, _u19373)))) )).
% 12.54/12.75 cnf(fact_small__lazy_H_Opinduct-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u19373), _u19374))) | hBOOL(hAPP(hAPP(_u19375, _u19373), _u19374)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem518(_u19375, _u19374, _u19373)), skolem519(_u19375, _u19374, _u19373))) | hBOOL(hAPP(hAPP(_u19375, skolem518(_u19375, _u19374, _u19373)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem519(_u19375, _u19374, _u19373)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.54/12.75 cnf(fact_small__lazy_H_Opinduct-3, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u19373), _u19374))) | hBOOL(hAPP(hAPP(_u19375, _u19373), _u19374)) | ~hBOOL(hAPP(hAPP(_u19375, skolem518(_u19375, _u19374, _u19373)), skolem519(_u19375, _u19374, _u19373))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_size__code ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_size__code-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19376)), _u19377) = c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u19376, tc_Lazy__Sequence_Olazy__sequence(_u19376)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u19376, tc_Lazy__Sequence_Olazy__sequence(_u19376), tc_Nat_Onat), hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19376), tc_Nat_Onat), _u19376), hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u19376), tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_Lazy__Sequence_Olazy__sequence(_u19376)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19376)))), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(c_Lazy__Sequence_Oyield(_u19376), _u19377))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_lazy__sequence__size__code ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_lazy__sequence__size__code-1, axiom, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19378, _u19379), _u19380) = c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u19378, tc_Lazy__Sequence_Olazy__sequence(_u19378)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u19378, tc_Lazy__Sequence_Olazy__sequence(_u19378), tc_Nat_Onat), hAPP(hAPP(c_COMBC(_u19378, tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19378), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19378), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_fun(tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19378), tc_Nat_Onat)), _u19378), c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u19378), tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19378), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19378), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), _u19378), hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_Lazy__Sequence_Olazy__sequence(_u19378)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat))), hAPP(hAPP(c_COMBC(_u19378, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19378), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19378), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19378), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19378), tc_Nat_Onat)), _u19378), c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Lazy__Sequence_Olazy__sequence(_u19378))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), _u19378), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u19379))), c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19378, _u19379))))), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_Lazy__Sequence_Oyield(_u19378), _u19380))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_seq__case ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_seq__case-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u19381, _u19382, _u19383, _u19384, _u19385) = c_Option_Ooption_Ooption__case(_u19381, tc_prod(_u19382, tc_Lazy__Sequence_Olazy__sequence(_u19382)), _u19383, hAPP(c_Product__Type_Oprod_Oprod__case(_u19382, tc_Lazy__Sequence_Olazy__sequence(_u19382), _u19381), _u19384), hAPP(c_Lazy__Sequence_Oyield(_u19382), _u19385))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_yieldn__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_yieldn__def-1, axiom, ( ( c_Lazy__Sequence_Oyieldn(_u19386) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(_u19386), _u19386, c_Lazy__Sequence_Oyield(_u19386))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_lazy__sequence_Osimps_I5_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_lazy__sequence_Osimps_I5_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u19387, _u19388, _u19389, _u19390, c_Lazy__Sequence_Olazy__sequence_OInsert(_u19388, _u19391, _u19392)) = hAPP(hAPP(_u19390, _u19391), _u19392)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_refl__on__INTER ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_refl__on__INTER-1, axiom, ( c_Relation_Orefl__on(_u19396, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19394, tc_fun(_u19396, tc_HOL_Obool)), _u19395), _u19397), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19394, tc_fun(tc_prod(_u19396, _u19396), tc_HOL_Obool)), _u19395), _u19398)) | hBOOL(hAPP(hAPP(c_member(_u19394), skolem520(_u19398, _u19397, _u19396, _u19395, _u19394)), _u19395)) )).
% 12.54/12.75 cnf(fact_refl__on__INTER-2, axiom, ( c_Relation_Orefl__on(_u19396, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19394, tc_fun(_u19396, tc_HOL_Obool)), _u19395), _u19397), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19394, tc_fun(tc_prod(_u19396, _u19396), tc_HOL_Obool)), _u19395), _u19398)) | ~c_Relation_Orefl__on(_u19396, hAPP(_u19397, skolem520(_u19398, _u19397, _u19396, _u19395, _u19394)), hAPP(_u19398, skolem520(_u19398, _u19397, _u19396, _u19395, _u19394))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_List_Omember__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_List_Omember__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19402), _u19404), _u19406)) | hBOOL(hAPP(hAPP(c_member(_u19402), _u19406), hAPP(c_List_Oset(_u19402), _u19404))) )).
% 12.54/12.75 cnf(fact_List_Omember__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19403), _u19407), hAPP(c_List_Oset(_u19403), _u19405))) | hBOOL(hAPP(hAPP(c_List_Omember(_u19403), _u19405), _u19407)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_member__rec_I2_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_member__rec_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19408), c_List_Olist_ONil(_u19408)), _u19409)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_member__set ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_member__set-1, axiom, ( ( c_List_Omember(_u19410) = c_List_Oset(_u19410)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_member__rec_I1_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_member__rec_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19415), hAPP(hAPP(c_List_Olist_OCons(_u19415), _u19417), _u19419)), _u19421)) | ( _u19417 = _u19421) | hBOOL(hAPP(hAPP(c_List_Omember(_u19415), _u19419), _u19421)) )).
% 12.54/12.75 cnf(fact_member__rec_I1_J-2, axiom, ( hBOOL(hAPP(hAPP(c_List_Omember(_u19416), hAPP(hAPP(c_List_Olist_OCons(_u19416), _u19418), _u19420)), _u19422)) | ( _u19418 != _u19422) )).
% 12.54/12.75 cnf(fact_member__rec_I1_J-3, axiom, ( hBOOL(hAPP(hAPP(c_List_Omember(_u19416), hAPP(hAPP(c_List_Olist_OCons(_u19416), _u19418), _u19420)), _u19422)) | ~hBOOL(hAPP(hAPP(c_List_Omember(_u19416), _u19420), _u19422)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_in__set__member ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_in__set__member-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19426), _u19428), hAPP(c_List_Oset(_u19426), _u19430))) | hBOOL(hAPP(hAPP(c_List_Omember(_u19426), _u19430), _u19428)) )).
% 12.54/12.75 cnf(fact_in__set__member-2, axiom, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19427), _u19431), _u19429)) | hBOOL(hAPP(hAPP(c_member(_u19427), _u19429), hAPP(c_List_Oset(_u19427), _u19431))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_list__ex1__iff__raw ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_list__ex1__iff__raw-1, axiom, ( ~c_List_Olist__ex1(_u19439, _u19441, _u19443) | hBOOL(hAPP(hAPP(c_member(_u19439), skolem521(_u19443, _u19441, _u19439)), hAPP(c_List_Oset(_u19439), _u19443))) )).
% 12.54/12.75 cnf(fact_list__ex1__iff__raw-2, axiom, ( ~c_List_Olist__ex1(_u19439, _u19441, _u19443) | hBOOL(hAPP(_u19441, skolem521(_u19443, _u19441, _u19439))) )).
% 12.54/12.75 cnf(fact_list__ex1__iff__raw-3, axiom, ( ~c_List_Olist__ex1(_u19439, _u19441, _u19443) | ~hBOOL(hAPP(hAPP(c_member(_u19439), _u19432), hAPP(c_List_Oset(_u19439), _u19443))) | ~hBOOL(hAPP(_u19441, _u19432)) | ( _u19432 = skolem521(_u19443, _u19441, _u19439)) )).
% 12.54/12.75 cnf(fact_list__ex1__iff__raw-4, axiom, ( c_List_Olist__ex1(_u19440, _u19442, _u19444) | ~hBOOL(hAPP(hAPP(c_member(_u19440), _u19435), hAPP(c_List_Oset(_u19440), _u19444))) | ~hBOOL(hAPP(_u19442, _u19435)) | hBOOL(hAPP(hAPP(c_member(_u19440), skolem522(_u19444, _u19442, _u19440, _u19435)), hAPP(c_List_Oset(_u19440), _u19444))) )).
% 12.54/12.75 cnf(fact_list__ex1__iff__raw-5, axiom, ( c_List_Olist__ex1(_u19440, _u19442, _u19444) | ~hBOOL(hAPP(hAPP(c_member(_u19440), _u19435), hAPP(c_List_Oset(_u19440), _u19444))) | ~hBOOL(hAPP(_u19442, _u19435)) | hBOOL(hAPP(_u19442, skolem522(_u19444, _u19442, _u19440, _u19435))) )).
% 12.54/12.75 cnf(fact_list__ex1__iff__raw-6, axiom, ( c_List_Olist__ex1(_u19440, _u19442, _u19444) | ~hBOOL(hAPP(hAPP(c_member(_u19440), _u19435), hAPP(c_List_Oset(_u19440), _u19444))) | ~hBOOL(hAPP(_u19442, _u19435)) | ( skolem522(_u19444, _u19442, _u19440, _u19435) != _u19435) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_setsum__UNION__zero ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_setsum__UNION__zero-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19449) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19450, tc_HOL_Obool)), _u19451)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19450, tc_HOL_Obool)), skolem523(_u19452, _u19451, _u19450, _u19449)), _u19451)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19450, tc_HOL_Obool), _u19451)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19450, tc_HOL_Obool), _u19449), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452)), _u19451)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19450, tc_HOL_Obool)), skolem524(_u19452, _u19451, _u19450, _u19449)), _u19451)) )).
% 12.54/12.75 cnf(fact_setsum__UNION__zero-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19449) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19450, tc_HOL_Obool)), _u19451)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19450, tc_HOL_Obool)), skolem523(_u19452, _u19451, _u19450, _u19449)), _u19451)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19450, tc_HOL_Obool), _u19451)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19450, tc_HOL_Obool), _u19449), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452)), _u19451)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19450, tc_HOL_Obool)), skolem525(_u19452, _u19451, _u19450, _u19449)), _u19451)) )).
% 12.54/12.75 cnf(fact_setsum__UNION__zero-3, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19449) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19450, tc_HOL_Obool)), _u19451)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19450, tc_HOL_Obool)), skolem523(_u19452, _u19451, _u19450, _u19449)), _u19451)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19450, tc_HOL_Obool), _u19451)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19450, tc_HOL_Obool), _u19449), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452)), _u19451)) | ( skolem524(_u19452, _u19451, _u19450, _u19449) != skolem525(_u19452, _u19451, _u19450, _u19449)) )).
% 12.54/12.75 cnf(fact_setsum__UNION__zero-4, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19449) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19450, tc_HOL_Obool)), _u19451)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19450, tc_HOL_Obool)), skolem523(_u19452, _u19451, _u19450, _u19449)), _u19451)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19450, tc_HOL_Obool), _u19451)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19450, tc_HOL_Obool), _u19449), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452)), _u19451)) | hBOOL(hAPP(hAPP(c_member(_u19450), skolem526(_u19452, _u19451, _u19450, _u19449)), skolem524(_u19452, _u19451, _u19450, _u19449))) )).
% 12.54/12.75 cnf(fact_setsum__UNION__zero-5, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19449) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19450, tc_HOL_Obool)), _u19451)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19450, tc_HOL_Obool)), skolem523(_u19452, _u19451, _u19450, _u19449)), _u19451)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19450, tc_HOL_Obool), _u19451)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19450, tc_HOL_Obool), _u19449), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452)), _u19451)) | hBOOL(hAPP(hAPP(c_member(_u19450), skolem526(_u19452, _u19451, _u19450, _u19449)), skolem525(_u19452, _u19451, _u19450, _u19449))) )).
% 12.54/12.75 cnf(fact_setsum__UNION__zero-6, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19449) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19450, tc_HOL_Obool)), _u19451)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19450, tc_HOL_Obool)), skolem523(_u19452, _u19451, _u19450, _u19449)), _u19451)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19450, tc_HOL_Obool), _u19451)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19450, tc_HOL_Obool), _u19449), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452)), _u19451)) | ( hAPP(_u19452, skolem526(_u19452, _u19451, _u19450, _u19449)) != c_Groups_Ozero__class_Ozero(_u19449)) )).
% 12.54/12.75 cnf(fact_setsum__UNION__zero-7, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19449) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19450, tc_HOL_Obool)), _u19451)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19450), skolem523(_u19452, _u19451, _u19450, _u19449))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19450, tc_HOL_Obool), _u19451)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19450, tc_HOL_Obool), _u19449), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452)), _u19451)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19450, tc_HOL_Obool)), skolem524(_u19452, _u19451, _u19450, _u19449)), _u19451)) )).
% 12.54/12.75 cnf(fact_setsum__UNION__zero-8, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19449) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19450, tc_HOL_Obool)), _u19451)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19450), skolem523(_u19452, _u19451, _u19450, _u19449))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19450, tc_HOL_Obool), _u19451)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19450, tc_HOL_Obool), _u19449), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452)), _u19451)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19450, tc_HOL_Obool)), skolem525(_u19452, _u19451, _u19450, _u19449)), _u19451)) )).
% 12.54/12.75 cnf(fact_setsum__UNION__zero-9, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19449) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19450, tc_HOL_Obool)), _u19451)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19450), skolem523(_u19452, _u19451, _u19450, _u19449))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19450, tc_HOL_Obool), _u19451)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19450, tc_HOL_Obool), _u19449), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452)), _u19451)) | ( skolem524(_u19452, _u19451, _u19450, _u19449) != skolem525(_u19452, _u19451, _u19450, _u19449)) )).
% 12.54/12.75 cnf(fact_setsum__UNION__zero-10, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19449) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19450, tc_HOL_Obool)), _u19451)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19450), skolem523(_u19452, _u19451, _u19450, _u19449))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19450, tc_HOL_Obool), _u19451)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19450, tc_HOL_Obool), _u19449), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452)), _u19451)) | hBOOL(hAPP(hAPP(c_member(_u19450), skolem526(_u19452, _u19451, _u19450, _u19449)), skolem524(_u19452, _u19451, _u19450, _u19449))) )).
% 12.54/12.75 cnf(fact_setsum__UNION__zero-11, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19449) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19450, tc_HOL_Obool)), _u19451)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19450), skolem523(_u19452, _u19451, _u19450, _u19449))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19450, tc_HOL_Obool), _u19451)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19450, tc_HOL_Obool), _u19449), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452)), _u19451)) | hBOOL(hAPP(hAPP(c_member(_u19450), skolem526(_u19452, _u19451, _u19450, _u19449)), skolem525(_u19452, _u19451, _u19450, _u19449))) )).
% 12.54/12.75 cnf(fact_setsum__UNION__zero-12, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19449) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19450, tc_HOL_Obool)), _u19451)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19450), skolem523(_u19452, _u19451, _u19450, _u19449))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19450, tc_HOL_Obool), _u19451)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19450, tc_HOL_Obool), _u19449), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452)), _u19451)) | ( hAPP(_u19452, skolem526(_u19452, _u19451, _u19450, _u19449)) != c_Groups_Ozero__class_Ozero(_u19449)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_THE__default__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_THE__default__def-1, axiom, ( ( c_FunDef_OTHE__default(_u19462, _u19464, _u19460) = c_HOL_OThe(_u19462, _u19460)) | ~hBOOL(hAPP(_u19460, _u19454)) | hBOOL(hAPP(_u19460, skolem527(_u19464, _u19462, _u19460, _u19454))) )).
% 12.54/12.75 cnf(fact_THE__default__def-2, axiom, ( ( c_FunDef_OTHE__default(_u19462, _u19464, _u19460) = c_HOL_OThe(_u19462, _u19460)) | ~hBOOL(hAPP(_u19460, _u19454)) | ( skolem527(_u19464, _u19462, _u19460, _u19454) != _u19454) )).
% 12.54/12.75 cnf(fact_THE__default__def-3, axiom, ( ( c_FunDef_OTHE__default(_u19463, _u19465, _u19461) = _u19465) | hBOOL(hAPP(_u19461, skolem528(_u19465, _u19463, _u19461))) )).
% 12.54/12.75 cnf(fact_THE__default__def-4, axiom, ( ( c_FunDef_OTHE__default(_u19463, _u19465, _u19461) = _u19465) | ~hBOOL(hAPP(_u19461, _u19455)) | ( _u19455 = skolem528(_u19465, _u19463, _u19461)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_INF2__I ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_INF2__I-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19467, tc_fun(_u19472, tc_fun(_u19473, tc_HOL_Obool))), _u19468), _u19469), _u19470), _u19471)) | hBOOL(hAPP(hAPP(c_member(_u19467), skolem529(_u19473, _u19472, _u19471, _u19470, _u19469, _u19468, _u19467)), _u19468)) )).
% 12.54/12.75 cnf(fact_INF2__I-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19467, tc_fun(_u19472, tc_fun(_u19473, tc_HOL_Obool))), _u19468), _u19469), _u19470), _u19471)) | ~hBOOL(hAPP(hAPP(hAPP(_u19469, skolem529(_u19473, _u19472, _u19471, _u19470, _u19469, _u19468, _u19467)), _u19470), _u19471)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_SUP2__E ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_SUP2__E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19475, tc_fun(_u19476, tc_fun(_u19477, tc_HOL_Obool))), _u19478), _u19479), _u19480), _u19481)) | hBOOL(hAPP(hAPP(c_member(_u19475), skolem530(_u19481, _u19480, _u19479, _u19478, _u19477, _u19476, _u19475)), _u19478)) )).
% 12.54/12.75 cnf(fact_SUP2__E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19475, tc_fun(_u19476, tc_fun(_u19477, tc_HOL_Obool))), _u19478), _u19479), _u19480), _u19481)) | hBOOL(hAPP(hAPP(hAPP(_u19479, skolem530(_u19481, _u19480, _u19479, _u19478, _u19477, _u19476, _u19475)), _u19480), _u19481)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_finite__maxlen ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_finite__maxlen-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u19484)), _u19485)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19484)), _u19482), _u19485)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19484)), _u19482)), skolem531(_u19485, _u19484))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_lazy__sequence_Osize_I3_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_lazy__sequence_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19486)), c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19486)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_lazy__sequence_Osize_I1_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_lazy__sequence_Osize_I1_J-1, axiom, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19487, _u19488), c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19487)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact__02 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact__02-1, axiom, ( ( c_Lazy__Sequence_Oappend(_u19489, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19489), _u19490) = _u19490) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_lazy__sequence_Osimps_I3_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_lazy__sequence_Osimps_I3_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19491, _u19492, _u19493) != c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19491)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_lazy__sequence_Osimps_I2_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_lazy__sequence_Osimps_I2_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19494) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u19494, _u19495, _u19496)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_lazy__sequence_Osimps_I4_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_lazy__sequence_Osimps_I4_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u19497, _u19498, _u19499, _u19500, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19498)) = _u19499) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_list__all__iff__all__interval__int ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_list__all__iff__all__interval__int-1, axiom, ( ~c_List_Olist__all(tc_Int_Oint, _u19504, c_List_Oupto(_u19506, _u19508)) | c_List_Oall__interval__int(_u19504, _u19506, _u19508) )).
% 12.54/12.75 cnf(fact_list__all__iff__all__interval__int-2, axiom, ( ~c_List_Oall__interval__int(_u19505, _u19507, _u19509) | c_List_Olist__all(tc_Int_Oint, _u19505, c_List_Oupto(_u19507, _u19509)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_list__ex__iff__not__all__inverval__int ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_list__ex__iff__not__all__inverval__int-1, axiom, ( ~c_List_Olist__ex(tc_Int_Oint, _u19513, c_List_Oupto(_u19515, _u19517)) | ~c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint, c_fNot), _u19513), _u19515, _u19517) )).
% 12.54/12.75 cnf(fact_list__ex__iff__not__all__inverval__int-2, axiom, ( c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint, c_fNot), _u19514), _u19516, _u19518) | c_List_Olist__ex(tc_Int_Oint, _u19514, c_List_Oupto(_u19516, _u19518)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_all__interval__int__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_all__interval__int__def-1, axiom, ( ~c_List_Oall__interval__int(_u19524, _u19526, _u19528) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u19519), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u19526, _u19528))) | hBOOL(hAPP(_u19524, _u19519)) )).
% 12.54/12.75 cnf(fact_all__interval__int__def-2, axiom, ( c_List_Oall__interval__int(_u19525, _u19527, _u19529) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem532(_u19529, _u19527, _u19525)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u19527, _u19529))) )).
% 12.54/12.75 cnf(fact_all__interval__int__def-3, axiom, ( c_List_Oall__interval__int(_u19525, _u19527, _u19529) | ~hBOOL(hAPP(_u19525, skolem532(_u19529, _u19527, _u19525))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_code__numeral_Orecs_I2_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_code__numeral_Orecs_I2_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u19530, _u19531, _u19532, c_Code__Numeral_OSuc__code__numeral(_u19533)) = hAPP(hAPP(_u19532, _u19533), c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u19530, _u19531, _u19532, _u19533))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_Random_Osimps ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_Random_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u19538), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u19540, _u19542, _u19538, _u19544) = 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(_u19540)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u19540))) )).
% 12.54/12.75 cnf(fact_Random_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u19539), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u19541, _u19543, _u19539, _u19545) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u19541, 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(_u19541)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(_u19543, _u19545)), 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(_u19541)))), 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(_u19541)))), 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(_u19541)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_prod(_u19541, 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(_u19541)))), 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(_u19541)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random__Sequence_ORandom(_u19541, _u19543, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19539), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u19545))), 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(_u19541)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19541))))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19541)))), 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(_u19541)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)))), tc_prod(_u19541, 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(_u19541)))), 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(_u19541)))), 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(_u19541))))), c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19541)))), 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(_u19541)))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19541)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19541))))), tc_prod(_u19541, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Ounion(_u19541)), hAPP(hAPP(c_COMBB(_u19541, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19541)))), tc_prod(_u19541, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Osingle(_u19541)), c_Product__Type_Ofst(_u19541, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm)))))))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_code__numeral_Orecs_I1_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_code__numeral_Orecs_I1_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u19546, _u19547, _u19548, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u19547) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_Random__Sequence_Oempty__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_Random__Sequence_Oempty__def-1, axiom, ( ( c_Random__Sequence_Oempty(_u19549, _u19550, _u19551) = 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(_u19549)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u19549))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_Random__Sequence_Osingle__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_Random__Sequence_Osingle__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(_u19552), _u19553), _u19554), _u19555) = 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(_u19552)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_DSequence_Osingle(_u19552), _u19553))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_Random__Sequence_Omap__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_Random__Sequence_Omap__def-1, axiom, ( ( c_Random__Sequence_Omap(_u19556, _u19557, _u19558, _u19559) = c_Random__Sequence_Obind(_u19556, _u19557, _u19559, hAPP(c_Fun_Ocomp(_u19557, 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(_u19557)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))))), _u19556, c_Random__Sequence_Osingle(_u19557)), _u19558))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_exE__realizer ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_exE__realizer-1, axiom, ( ~hBOOL(hAPP(hAPP(_u19562, hAPP(c_Product__Type_Osnd(_u19563, _u19564), _u19565)), hAPP(c_Product__Type_Ofst(_u19563, _u19564), _u19565))) | hBOOL(hAPP(_u19566, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u19563, _u19564, _u19568), _u19567), _u19565))) | hBOOL(hAPP(hAPP(_u19562, skolem534(_u19568, _u19567, _u19566, _u19565, _u19564, _u19563, _u19562)), skolem533(_u19568, _u19567, _u19566, _u19565, _u19564, _u19563, _u19562))) )).
% 12.54/12.75 cnf(fact_exE__realizer-2, axiom, ( ~hBOOL(hAPP(hAPP(_u19562, hAPP(c_Product__Type_Osnd(_u19563, _u19564), _u19565)), hAPP(c_Product__Type_Ofst(_u19563, _u19564), _u19565))) | hBOOL(hAPP(_u19566, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u19563, _u19564, _u19568), _u19567), _u19565))) | ~hBOOL(hAPP(_u19566, hAPP(hAPP(_u19567, skolem533(_u19568, _u19567, _u19566, _u19565, _u19564, _u19563, _u19562)), skolem534(_u19568, _u19567, _u19566, _u19565, _u19564, _u19563, _u19562)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_Image__Collect__split ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_Image__Collect__split-1, axiom, ( ( hAPP(c_Relation_OImage(_u19569, _u19570, hAPP(c_Set_OCollect(tc_prod(_u19569, _u19570)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19569, _u19570, tc_HOL_Obool), _u19571))), _u19572) = hAPP(c_Set_OCollect(_u19570), hAPP(hAPP(c_COMBB(tc_fun(_u19569, tc_HOL_Obool), tc_HOL_Obool, _u19570), c_HOL_OEx(_u19569)), hAPP(hAPP(c_COMBB(tc_fun(_u19569, tc_HOL_Obool), tc_fun(_u19569, tc_HOL_Obool), _u19570), hAPP(c_COMBS(_u19569, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19569), c_fconj), hAPP(hAPP(c_COMBC(_u19569, tc_fun(_u19569, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19569)), _u19572)))), hAPP(c_COMBC(_u19569, _u19570, tc_HOL_Obool), _u19571))))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_lexord__trans ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_lexord__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19573), tc_List_Olist(_u19573))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19573), tc_List_Olist(_u19573)), _u19574), _u19575)), c_List_Olexord(_u19573, _u19576))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19573), tc_List_Olist(_u19573))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19573), tc_List_Olist(_u19573)), _u19575), _u19577)), c_List_Olexord(_u19573, _u19576))) | ~c_Relation_Otrans(_u19573, _u19576) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19573), tc_List_Olist(_u19573))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19573), tc_List_Olist(_u19573)), _u19574), _u19577)), c_List_Olexord(_u19573, _u19576))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_trans__less__than ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_trans__less__than-1, axiom, ( c_Relation_Otrans(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_trans__lex__prod ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_trans__lex__prod-1, axiom, ( ~c_Relation_Otrans(_u19578, _u19579) | ~c_Relation_Otrans(_u19580, _u19581) | c_Relation_Otrans(tc_prod(_u19578, _u19580), c_Wellfounded_Olex__prod(_u19578, _u19580, _u19579, _u19581)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_trans__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_trans__def-1, axiom, ( ~c_Relation_Otrans(_u19590, _u19592) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19590, _u19590)), hAPP(hAPP(c_Product__Type_OPair(_u19590, _u19590), _u19584), _u19583)), _u19592)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19590, _u19590)), hAPP(hAPP(c_Product__Type_OPair(_u19590, _u19590), _u19583), _u19582)), _u19592)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19590, _u19590)), hAPP(hAPP(c_Product__Type_OPair(_u19590, _u19590), _u19584), _u19582)), _u19592)) )).
% 12.54/12.75 cnf(fact_trans__def-2, axiom, ( c_Relation_Otrans(_u19591, _u19593) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19591, _u19591)), hAPP(hAPP(c_Product__Type_OPair(_u19591, _u19591), skolem535(_u19593, _u19591)), skolem536(_u19593, _u19591))), _u19593)) )).
% 12.54/12.75 cnf(fact_trans__def-3, axiom, ( c_Relation_Otrans(_u19591, _u19593) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19591, _u19591)), hAPP(hAPP(c_Product__Type_OPair(_u19591, _u19591), skolem536(_u19593, _u19591)), skolem537(_u19593, _u19591))), _u19593)) )).
% 12.54/12.75 cnf(fact_trans__def-4, axiom, ( c_Relation_Otrans(_u19591, _u19593) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19591, _u19591)), hAPP(hAPP(c_Product__Type_OPair(_u19591, _u19591), skolem535(_u19593, _u19591)), skolem537(_u19593, _u19591))), _u19593)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_transD ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_transD-1, axiom, ( ~c_Relation_Otrans(_u19594, _u19595) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19594, _u19594)), hAPP(hAPP(c_Product__Type_OPair(_u19594, _u19594), _u19596), _u19597)), _u19595)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19594, _u19594)), hAPP(hAPP(c_Product__Type_OPair(_u19594, _u19594), _u19597), _u19598)), _u19595)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19594, _u19594)), hAPP(hAPP(c_Product__Type_OPair(_u19594, _u19594), _u19596), _u19598)), _u19595)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_Union__eq ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_Union__eq-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19599, tc_HOL_Obool), _u19600) = hAPP(c_Set_OCollect(_u19599), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19599, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u19599), c_HOL_OEx(tc_fun(_u19599, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19599, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u19599, tc_HOL_Obool), tc_HOL_Obool), _u19599), hAPP(c_COMBS(tc_fun(_u19599, 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(_u19599, tc_HOL_Obool)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19599, tc_HOL_Obool), tc_fun(tc_fun(_u19599, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19599, tc_HOL_Obool))), _u19600)))), c_member(_u19599))))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_trans__O__subset ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_trans__O__subset-1, axiom, ( ~c_Relation_Otrans(_u19601, _u19602) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19601, _u19601), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u19601, _u19601, _u19601), _u19602), _u19602)), _u19602)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_bex__UNIV ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_bex__UNIV-1, axiom, ( hBOOL(hAPP(_u19611, skolem538(_u19611))) | ~hBOOL(hAPP(hAPP(c_member(_u19609), _u19603), c_Orderings_Otop__class_Otop(tc_fun(_u19609, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u19611, _u19603)) )).
% 12.54/12.75 cnf(fact_bex__UNIV-2, axiom, ( ~hBOOL(hAPP(_u19612, _u19605)) | hBOOL(hAPP(hAPP(c_member(_u19610), skolem539(_u19612, _u19610)), c_Orderings_Otop__class_Otop(tc_fun(_u19610, tc_HOL_Obool)))) )).
% 12.54/12.75 cnf(fact_bex__UNIV-3, axiom, ( ~hBOOL(hAPP(_u19612, _u19605)) | hBOOL(hAPP(_u19612, skolem539(_u19612, _u19610))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_finite__Collect__bex ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_finite__Collect__bex-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19615), _u19616)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19617), hAPP(c_Set_OCollect(_u19617), hAPP(hAPP(c_COMBB(tc_fun(_u19615, tc_HOL_Obool), tc_HOL_Obool, _u19617), c_HOL_OEx(_u19615)), hAPP(hAPP(c_COMBB(tc_fun(_u19615, tc_HOL_Obool), tc_fun(_u19615, tc_HOL_Obool), _u19617), hAPP(c_COMBS(_u19615, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19615), c_fconj), hAPP(hAPP(c_COMBC(_u19615, tc_fun(_u19615, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19615)), _u19616)))), _u19618))))) | ~hBOOL(hAPP(hAPP(c_member(_u19615), _u19613), _u19616)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19617), hAPP(c_Set_OCollect(_u19617), hAPP(hAPP(c_COMBC(_u19617, _u19615, tc_HOL_Obool), _u19618), _u19613)))) )).
% 12.54/12.75 cnf(fact_finite__Collect__bex-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19615), _u19616)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19617), hAPP(c_Set_OCollect(_u19617), hAPP(hAPP(c_COMBB(tc_fun(_u19615, tc_HOL_Obool), tc_HOL_Obool, _u19617), c_HOL_OEx(_u19615)), hAPP(hAPP(c_COMBB(tc_fun(_u19615, tc_HOL_Obool), tc_fun(_u19615, tc_HOL_Obool), _u19617), hAPP(c_COMBS(_u19615, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19615), c_fconj), hAPP(hAPP(c_COMBC(_u19615, tc_fun(_u19615, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19615)), _u19616)))), _u19618))))) | hBOOL(hAPP(hAPP(c_member(_u19615), skolem540(_u19618, _u19617, _u19616, _u19615)), _u19616)) )).
% 12.54/12.75 cnf(fact_finite__Collect__bex-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19615), _u19616)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19617), hAPP(c_Set_OCollect(_u19617), hAPP(hAPP(c_COMBB(tc_fun(_u19615, tc_HOL_Obool), tc_HOL_Obool, _u19617), c_HOL_OEx(_u19615)), hAPP(hAPP(c_COMBB(tc_fun(_u19615, tc_HOL_Obool), tc_fun(_u19615, tc_HOL_Obool), _u19617), hAPP(c_COMBS(_u19615, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19615), c_fconj), hAPP(hAPP(c_COMBC(_u19615, tc_fun(_u19615, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19615)), _u19616)))), _u19618))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19617), hAPP(c_Set_OCollect(_u19617), hAPP(hAPP(c_COMBC(_u19617, _u19615, tc_HOL_Obool), _u19618), skolem540(_u19618, _u19617, _u19616, _u19615))))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_trans__converse ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_trans__converse-1, axiom, ( ~c_Relation_Otrans(_u19621, hAPP(c_Relation_Oconverse(_u19621, _u19621), _u19623)) | c_Relation_Otrans(_u19621, _u19623) )).
% 12.54/12.75 cnf(fact_trans__converse-2, axiom, ( ~c_Relation_Otrans(_u19622, _u19624) | c_Relation_Otrans(_u19622, hAPP(c_Relation_Oconverse(_u19622, _u19622), _u19624)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_bex__empty ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_bex__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19626), _u19625), c_Orderings_Obot__class_Obot(tc_fun(_u19626, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u19627, _u19625)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_listrel__trans ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_listrel__trans-1, axiom, ( ~c_Relation_Otrans(_u19628, _u19629) | c_Relation_Otrans(tc_List_Olist(_u19628), c_List_Olistrel(_u19628, _u19629)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_lexord__transI ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_lexord__transI-1, axiom, ( ~c_Relation_Otrans(_u19630, _u19631) | c_Relation_Otrans(tc_List_Olist(_u19630), c_List_Olexord(_u19630, _u19631)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_trans__finite__psubset ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_trans__finite__psubset-1, axiom, ( c_Relation_Otrans(tc_fun(_u19632, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u19632)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_trans__Id__on ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_trans__Id__on-1, axiom, ( c_Relation_Otrans(_u19633, c_Relation_OId__on(_u19633, _u19634)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_trans__trancl ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_trans__trancl-1, axiom, ( c_Relation_Otrans(_u19635, c_Transitive__Closure_Otrancl(_u19635, _u19636)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_trancl__id ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_trancl__id-1, axiom, ( ~c_Relation_Otrans(_u19637, _u19638) | ( c_Transitive__Closure_Otrancl(_u19637, _u19638) = _u19638) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_trans__Id ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_trans__Id-1, axiom, ( c_Relation_Otrans(_u19639, c_Relation_OId(_u19639)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_trans__rtrancl ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_trans__rtrancl-1, axiom, ( c_Relation_Otrans(_u19640, c_Transitive__Closure_Ortrancl(_u19640, _u19641)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_trans__Int ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_trans__Int-1, axiom, ( ~c_Relation_Otrans(_u19642, _u19643) | ~c_Relation_Otrans(_u19642, _u19644) | c_Relation_Otrans(_u19642, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u19642, _u19642), tc_HOL_Obool)), _u19643), _u19644)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_SUPR__bool__eq ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_SUPR__bool__eq-1, axiom, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19645, tc_HOL_Obool) = c_Set_OBex(_u19645)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_trans__reflclI ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_trans__reflclI-1, axiom, ( ~c_Relation_Otrans(_u19646, _u19647) | c_Relation_Otrans(_u19646, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19646, _u19646), tc_HOL_Obool)), _u19647), c_Relation_OId(_u19646))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_trans__inv__image ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_trans__inv__image-1, axiom, ( ~c_Relation_Otrans(_u19648, _u19649) | c_Relation_Otrans(_u19650, hAPP(hAPP(c_Relation_Oinv__image(_u19648, _u19650), _u19649), _u19651)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_list__ex__iff__raw ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_list__ex__iff__raw-1, axiom, ( ~c_List_Olist__ex(_u19657, _u19659, _u19661) | hBOOL(hAPP(hAPP(c_member(_u19657), skolem541(_u19661, _u19659, _u19657)), hAPP(c_List_Oset(_u19657), _u19661))) )).
% 12.54/12.75 cnf(fact_list__ex__iff__raw-2, axiom, ( ~c_List_Olist__ex(_u19657, _u19659, _u19661) | hBOOL(hAPP(_u19659, skolem541(_u19661, _u19659, _u19657))) )).
% 12.54/12.75 cnf(fact_list__ex__iff__raw-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19658), _u19653), hAPP(c_List_Oset(_u19658), _u19662))) | ~hBOOL(hAPP(_u19660, _u19653)) | c_List_Olist__ex(_u19658, _u19660, _u19662) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_Bex__set__list__ex ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_Bex__set__list__ex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19668), _u19663), hAPP(c_List_Oset(_u19668), _u19670))) | ~hBOOL(hAPP(_u19672, _u19663)) | c_List_Olist__ex(_u19668, _u19672, _u19670) )).
% 12.54/12.75 cnf(fact_Bex__set__list__ex-2, axiom, ( ~c_List_Olist__ex(_u19669, _u19673, _u19671) | hBOOL(hAPP(hAPP(c_member(_u19669), skolem542(_u19673, _u19671, _u19669)), hAPP(c_List_Oset(_u19669), _u19671))) )).
% 12.54/12.75 cnf(fact_Bex__set__list__ex-3, axiom, ( ~c_List_Olist__ex(_u19669, _u19673, _u19671) | hBOOL(hAPP(_u19673, skolem542(_u19673, _u19671, _u19669))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_UN__eq ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_UN__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19674, tc_fun(_u19675, tc_HOL_Obool)), _u19676), _u19677) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19675, tc_HOL_Obool), hAPP(c_Set_OCollect(tc_fun(_u19675, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19674, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u19675, tc_HOL_Obool)), c_HOL_OEx(_u19674)), hAPP(hAPP(c_COMBB(tc_fun(_u19674, tc_HOL_Obool), tc_fun(_u19674, tc_HOL_Obool), tc_fun(_u19675, tc_HOL_Obool)), hAPP(c_COMBS(_u19674, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19674), c_fconj), hAPP(hAPP(c_COMBC(_u19674, tc_fun(_u19674, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19674)), _u19676)))), hAPP(hAPP(c_COMBC(tc_fun(_u19675, tc_HOL_Obool), tc_fun(_u19674, tc_fun(_u19675, tc_HOL_Obool)), tc_fun(_u19674, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19675, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u19674, tc_fun(_u19675, tc_HOL_Obool)), tc_fun(_u19674, tc_HOL_Obool)), tc_fun(_u19675, tc_HOL_Obool)), c_COMBB(tc_fun(_u19675, tc_HOL_Obool), tc_HOL_Obool, _u19674)), c_fequal)), _u19677)))))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_INT__eq ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_INT__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19678, tc_fun(_u19679, tc_HOL_Obool)), _u19680), _u19681) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19679, tc_HOL_Obool), hAPP(c_Set_OCollect(tc_fun(_u19679, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19678, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u19679, tc_HOL_Obool)), c_HOL_OEx(_u19678)), hAPP(hAPP(c_COMBB(tc_fun(_u19678, tc_HOL_Obool), tc_fun(_u19678, tc_HOL_Obool), tc_fun(_u19679, tc_HOL_Obool)), hAPP(c_COMBS(_u19678, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19678), c_fconj), hAPP(hAPP(c_COMBC(_u19678, tc_fun(_u19678, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19678)), _u19680)))), hAPP(hAPP(c_COMBC(tc_fun(_u19679, tc_HOL_Obool), tc_fun(_u19678, tc_fun(_u19679, tc_HOL_Obool)), tc_fun(_u19678, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19679, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u19678, tc_fun(_u19679, tc_HOL_Obool)), tc_fun(_u19678, tc_HOL_Obool)), tc_fun(_u19679, tc_HOL_Obool)), c_COMBB(tc_fun(_u19679, tc_HOL_Obool), tc_HOL_Obool, _u19678)), c_fequal)), _u19681)))))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_Sup__apply ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_Sup__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19682) | ( hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19683, _u19682), _u19684), _u19685) = c_Complete__Lattice_OSup__class_OSup(_u19682, hAPP(c_Set_OCollect(_u19682), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19683, _u19682), tc_HOL_Obool), tc_HOL_Obool, _u19682), c_HOL_OEx(tc_fun(_u19683, _u19682))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19683, _u19682), tc_HOL_Obool), tc_fun(tc_fun(_u19683, _u19682), tc_HOL_Obool), _u19682), hAPP(c_COMBS(tc_fun(_u19683, _u19682), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19683, _u19682)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19683, _u19682), tc_fun(tc_fun(_u19683, _u19682), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19683, _u19682))), _u19684)))), hAPP(hAPP(c_COMBC(_u19682, tc_fun(tc_fun(_u19683, _u19682), _u19682), tc_fun(tc_fun(_u19683, _u19682), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19682, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19683, _u19682), _u19682), tc_fun(tc_fun(_u19683, _u19682), tc_HOL_Obool)), _u19682), c_COMBB(_u19682, tc_HOL_Obool, tc_fun(_u19683, _u19682))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19683, _u19682), _u19683, _u19682), c_COMBI(tc_fun(_u19683, _u19682))), _u19685))))))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_Sup__fun__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_Sup__fun__def-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19686) | ( hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19687, _u19686), _u19688), _u19689) = c_Complete__Lattice_OSup__class_OSup(_u19686, hAPP(c_Set_OCollect(_u19686), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19687, _u19686), tc_HOL_Obool), tc_HOL_Obool, _u19686), c_HOL_OEx(tc_fun(_u19687, _u19686))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19687, _u19686), tc_HOL_Obool), tc_fun(tc_fun(_u19687, _u19686), tc_HOL_Obool), _u19686), hAPP(c_COMBS(tc_fun(_u19687, _u19686), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19687, _u19686)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19687, _u19686), tc_fun(tc_fun(_u19687, _u19686), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19687, _u19686))), _u19688)))), hAPP(hAPP(c_COMBC(_u19686, tc_fun(tc_fun(_u19687, _u19686), _u19686), tc_fun(tc_fun(_u19687, _u19686), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19686, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19687, _u19686), _u19686), tc_fun(tc_fun(_u19687, _u19686), tc_HOL_Obool)), _u19686), c_COMBB(_u19686, tc_HOL_Obool, tc_fun(_u19687, _u19686))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19687, _u19686), _u19687, _u19686), c_COMBI(tc_fun(_u19687, _u19686))), _u19689))))))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_Inf__apply ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_Inf__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19690) | ( hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19691, _u19690), _u19692), _u19693) = c_Complete__Lattice_OInf__class_OInf(_u19690, hAPP(c_Set_OCollect(_u19690), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19691, _u19690), tc_HOL_Obool), tc_HOL_Obool, _u19690), c_HOL_OEx(tc_fun(_u19691, _u19690))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19691, _u19690), tc_HOL_Obool), tc_fun(tc_fun(_u19691, _u19690), tc_HOL_Obool), _u19690), hAPP(c_COMBS(tc_fun(_u19691, _u19690), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19691, _u19690)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19691, _u19690), tc_fun(tc_fun(_u19691, _u19690), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19691, _u19690))), _u19692)))), hAPP(hAPP(c_COMBC(_u19690, tc_fun(tc_fun(_u19691, _u19690), _u19690), tc_fun(tc_fun(_u19691, _u19690), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19690, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19691, _u19690), _u19690), tc_fun(tc_fun(_u19691, _u19690), tc_HOL_Obool)), _u19690), c_COMBB(_u19690, tc_HOL_Obool, tc_fun(_u19691, _u19690))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19691, _u19690), _u19691, _u19690), c_COMBI(tc_fun(_u19691, _u19690))), _u19693))))))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_Inf__fun__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_Inf__fun__def-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19694) | ( hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19695, _u19694), _u19696), _u19697) = c_Complete__Lattice_OInf__class_OInf(_u19694, hAPP(c_Set_OCollect(_u19694), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19695, _u19694), tc_HOL_Obool), tc_HOL_Obool, _u19694), c_HOL_OEx(tc_fun(_u19695, _u19694))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19695, _u19694), tc_HOL_Obool), tc_fun(tc_fun(_u19695, _u19694), tc_HOL_Obool), _u19694), hAPP(c_COMBS(tc_fun(_u19695, _u19694), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19695, _u19694)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19695, _u19694), tc_fun(tc_fun(_u19695, _u19694), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19695, _u19694))), _u19696)))), hAPP(hAPP(c_COMBC(_u19694, tc_fun(tc_fun(_u19695, _u19694), _u19694), tc_fun(tc_fun(_u19695, _u19694), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19694, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19695, _u19694), _u19694), tc_fun(tc_fun(_u19695, _u19694), tc_HOL_Obool)), _u19694), c_COMBB(_u19694, tc_HOL_Obool, tc_fun(_u19695, _u19694))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19695, _u19694), _u19695, _u19694), c_COMBI(tc_fun(_u19695, _u19694))), _u19697))))))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_max__extp_Ointros ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_max__extp_Ointros-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19700), _u19701)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19700), _u19702)) | ( _u19702 = c_Orderings_Obot__class_Obot(tc_fun(_u19700, tc_HOL_Obool))) | c_Wellfounded_Omax__extp(_u19700, _u19703, _u19701, _u19702) | hBOOL(hAPP(hAPP(c_member(_u19700), skolem543(_u19703, _u19702, _u19701, _u19700)), _u19701)) )).
% 12.54/12.75 cnf(fact_max__extp_Ointros-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19700), _u19701)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19700), _u19702)) | ( _u19702 = c_Orderings_Obot__class_Obot(tc_fun(_u19700, tc_HOL_Obool))) | c_Wellfounded_Omax__extp(_u19700, _u19703, _u19701, _u19702) | ~hBOOL(hAPP(hAPP(c_member(_u19700), _u19698), _u19702)) | ~hBOOL(hAPP(hAPP(_u19703, skolem543(_u19703, _u19702, _u19701, _u19700)), _u19698)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_transp__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_transp__def-1, axiom, ( ~c_Predicate_Otransp(_u19706, _u19708) | c_Relation_Otrans(_u19706, hAPP(c_Set_OCollect(tc_prod(_u19706, _u19706)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19706, _u19706, tc_HOL_Obool), _u19708))) )).
% 12.54/12.75 cnf(fact_transp__def-2, axiom, ( ~c_Relation_Otrans(_u19707, hAPP(c_Set_OCollect(tc_prod(_u19707, _u19707)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19707, _u19707, tc_HOL_Obool), _u19709))) | c_Predicate_Otransp(_u19707, _u19709) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_transpE ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_transpE-1, axiom, ( ~hBOOL(hAPP(hAPP(_u19711, _u19712), _u19713)) | ~hBOOL(hAPP(hAPP(_u19711, _u19713), _u19714)) | hBOOL(hAPP(hAPP(_u19711, _u19712), _u19714)) | ~c_Predicate_Otransp(_u19710, _u19711) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_equivp__reflp__symp__transp ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_equivp__reflp__symp__transp-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u19717, _u19719) | c_Predicate_Oreflp(_u19717, _u19719) )).
% 12.54/12.75 cnf(fact_equivp__reflp__symp__transp-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u19717, _u19719) | c_Predicate_Osymp(_u19717, _u19719) )).
% 12.54/12.75 cnf(fact_equivp__reflp__symp__transp-3, axiom, ( ~c_Equiv__Relations_Oequivp(_u19717, _u19719) | c_Predicate_Otransp(_u19717, _u19719) )).
% 12.54/12.75 cnf(fact_equivp__reflp__symp__transp-4, axiom, ( ~c_Predicate_Oreflp(_u19718, _u19720) | ~c_Predicate_Osymp(_u19718, _u19720) | ~c_Predicate_Otransp(_u19718, _u19720) | c_Equiv__Relations_Oequivp(_u19718, _u19720) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_equivpI ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_equivpI-1, axiom, ( ~c_Predicate_Oreflp(_u19721, _u19722) | ~c_Predicate_Osymp(_u19721, _u19722) | ~c_Predicate_Otransp(_u19721, _u19722) | c_Equiv__Relations_Oequivp(_u19721, _u19722) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sympE ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sympE-1, axiom, ( ~hBOOL(hAPP(hAPP(_u19724, _u19725), _u19726)) | hBOOL(hAPP(hAPP(_u19724, _u19726), _u19725)) | ~c_Predicate_Osymp(_u19723, _u19724) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_equivpE ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_equivpE-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u19727, _u19728) | c_Predicate_Oreflp(_u19727, _u19728) )).
% 12.54/12.75 cnf(fact_equivpE-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u19727, _u19728) | c_Predicate_Osymp(_u19727, _u19728) )).
% 12.54/12.75 cnf(fact_equivpE-3, axiom, ( ~c_Equiv__Relations_Oequivp(_u19727, _u19728) | c_Predicate_Otransp(_u19727, _u19728) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_max__extp_Osimps ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_max__extp_Osimps-1, axiom, ( ~c_Wellfounded_Omax__extp(_u19737, _u19739, _u19741, _u19743) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19737), _u19741)) )).
% 12.54/12.75 cnf(fact_max__extp_Osimps-2, axiom, ( ~c_Wellfounded_Omax__extp(_u19737, _u19739, _u19741, _u19743) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19737), _u19743)) )).
% 12.54/12.75 cnf(fact_max__extp_Osimps-3, axiom, ( ~c_Wellfounded_Omax__extp(_u19737, _u19739, _u19741, _u19743) | ( _u19743 != c_Orderings_Obot__class_Obot(tc_fun(_u19737, tc_HOL_Obool))) )).
% 12.54/12.75 cnf(fact_max__extp_Osimps-4, axiom, ( ~c_Wellfounded_Omax__extp(_u19737, _u19739, _u19741, _u19743) | ~hBOOL(hAPP(hAPP(c_member(_u19737), _u19730), _u19741)) | hBOOL(hAPP(hAPP(c_member(_u19737), skolem544(_u19743, _u19741, _u19739, _u19737, _u19730)), _u19743)) )).
% 12.54/12.75 cnf(fact_max__extp_Osimps-5, axiom, ( ~c_Wellfounded_Omax__extp(_u19737, _u19739, _u19741, _u19743) | ~hBOOL(hAPP(hAPP(c_member(_u19737), _u19730), _u19741)) | hBOOL(hAPP(hAPP(_u19739, _u19730), skolem544(_u19743, _u19741, _u19739, _u19737, _u19730))) )).
% 12.54/12.75 cnf(fact_max__extp_Osimps-6, axiom, ( c_Wellfounded_Omax__extp(_u19738, _u19740, _u19742, _u19744) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19738), _u19742)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19738), _u19744)) | ( _u19744 = c_Orderings_Obot__class_Obot(tc_fun(_u19738, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u19738), skolem545(_u19744, _u19742, _u19740, _u19738)), _u19742)) )).
% 12.54/12.75 cnf(fact_max__extp_Osimps-7, axiom, ( c_Wellfounded_Omax__extp(_u19738, _u19740, _u19742, _u19744) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19738), _u19742)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19738), _u19744)) | ( _u19744 = c_Orderings_Obot__class_Obot(tc_fun(_u19738, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u19738), _u19731), _u19744)) | ~hBOOL(hAPP(hAPP(_u19740, skolem545(_u19744, _u19742, _u19740, _u19738)), _u19731)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_trans__diff__Id ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_trans__diff__Id-1, axiom, ( ~c_Relation_Otrans(_u19745, _u19746) | ~c_Relation_Oantisym(_u19745, _u19746) | c_Relation_Otrans(_u19745, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u19745, _u19745), tc_HOL_Obool)), _u19746), c_Relation_OId(_u19745))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_antisym__subset ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_antisym__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19747, _u19747), tc_HOL_Obool)), _u19748), _u19749)) | ~c_Relation_Oantisym(_u19747, _u19749) | c_Relation_Oantisym(_u19747, _u19748) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_antisym__Id__on ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_antisym__Id__on-1, axiom, ( c_Relation_Oantisym(_u19750, c_Relation_OId__on(_u19750, _u19751)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_antisym__Id ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_antisym__Id-1, axiom, ( c_Relation_Oantisym(_u19752, c_Relation_OId(_u19752)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_antisym__empty ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_antisym__empty-1, axiom, ( c_Relation_Oantisym(_u19753, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u19753, _u19753), tc_HOL_Obool))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_antisym__converse ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_antisym__converse-1, axiom, ( ~c_Relation_Oantisym(_u19756, hAPP(c_Relation_Oconverse(_u19756, _u19756), _u19758)) | c_Relation_Oantisym(_u19756, _u19758) )).
% 12.54/12.75 cnf(fact_antisym__converse-2, axiom, ( ~c_Relation_Oantisym(_u19757, _u19759) | c_Relation_Oantisym(_u19757, hAPP(c_Relation_Oconverse(_u19757, _u19757), _u19759)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_antisymD ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_antisymD-1, axiom, ( ~c_Relation_Oantisym(_u19760, _u19761) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19760, _u19760)), hAPP(hAPP(c_Product__Type_OPair(_u19760, _u19760), _u19762), _u19763)), _u19761)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19760, _u19760)), hAPP(hAPP(c_Product__Type_OPair(_u19760, _u19760), _u19763), _u19762)), _u19761)) | ( _u19762 = _u19763) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_antisym__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_antisym__def-1, axiom, ( ~c_Relation_Oantisym(_u19770, _u19772) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19770, _u19770)), hAPP(hAPP(c_Product__Type_OPair(_u19770, _u19770), _u19765), _u19764)), _u19772)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19770, _u19770)), hAPP(hAPP(c_Product__Type_OPair(_u19770, _u19770), _u19764), _u19765)), _u19772)) | ( _u19765 = _u19764) )).
% 12.54/12.75 cnf(fact_antisym__def-2, axiom, ( c_Relation_Oantisym(_u19771, _u19773) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19771, _u19771)), hAPP(hAPP(c_Product__Type_OPair(_u19771, _u19771), skolem546(_u19773, _u19771)), skolem547(_u19773, _u19771))), _u19773)) )).
% 12.54/12.75 cnf(fact_antisym__def-3, axiom, ( c_Relation_Oantisym(_u19771, _u19773) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19771, _u19771)), hAPP(hAPP(c_Product__Type_OPair(_u19771, _u19771), skolem547(_u19773, _u19771)), skolem546(_u19773, _u19771))), _u19773)) )).
% 12.54/12.75 cnf(fact_antisym__def-4, axiom, ( c_Relation_Oantisym(_u19771, _u19773) | ( skolem546(_u19773, _u19771) != skolem547(_u19773, _u19771)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_antisym__reflcl ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_antisym__reflcl-1, axiom, ( ~c_Relation_Oantisym(_u19776, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19776, _u19776), tc_HOL_Obool)), _u19778), c_Relation_OId(_u19776))) | c_Relation_Oantisym(_u19776, _u19778) )).
% 12.54/12.75 cnf(fact_antisym__reflcl-2, axiom, ( ~c_Relation_Oantisym(_u19777, _u19779) | c_Relation_Oantisym(_u19777, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19777, _u19777), tc_HOL_Obool)), _u19779), c_Relation_OId(_u19777))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_acyclic__impl__antisym__rtrancl ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_acyclic__impl__antisym__rtrancl-1, axiom, ( ~c_Wellfounded_Oacyclic(_u19780, _u19781) | c_Relation_Oantisym(_u19780, c_Transitive__Closure_Ortrancl(_u19780, _u19781)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_fun__lub__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_fun__lub__def-1, axiom, ( ( c_Partial__Function_Ofun__lub(_u19782, _u19783, _u19784, _u19785, _u19786, _u19787) = hAPP(_u19785, hAPP(c_Set_OCollect(_u19782), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19784, _u19782), tc_HOL_Obool), tc_HOL_Obool, _u19782), c_HOL_OEx(tc_fun(_u19784, _u19782))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19784, _u19782), tc_HOL_Obool), tc_fun(tc_fun(_u19784, _u19782), tc_HOL_Obool), _u19782), hAPP(c_COMBS(tc_fun(_u19784, _u19782), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19784, _u19782)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19784, _u19782), tc_fun(tc_fun(_u19784, _u19782), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19784, _u19782))), _u19786)))), hAPP(hAPP(c_COMBC(_u19782, tc_fun(tc_fun(_u19784, _u19782), _u19782), tc_fun(tc_fun(_u19784, _u19782), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19782, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19784, _u19782), _u19782), tc_fun(tc_fun(_u19784, _u19782), tc_HOL_Obool)), _u19782), c_COMBB(_u19782, tc_HOL_Obool, tc_fun(_u19784, _u19782))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19784, _u19782), _u19784, _u19782), c_COMBI(tc_fun(_u19784, _u19782))), _u19787))))))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sym__trans__comp__subset ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sym__trans__comp__subset-1, axiom, ( ~c_Relation_Osym(_u19788, _u19789) | ~c_Relation_Otrans(_u19788, _u19789) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19788, _u19788), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u19788, _u19788, _u19788), hAPP(c_Relation_Oconverse(_u19788, _u19788), _u19789)), _u19789)), _u19789)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sym__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sym__def-1, axiom, ( ~c_Relation_Osym(_u19796, _u19798) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19796, _u19796)), hAPP(hAPP(c_Product__Type_OPair(_u19796, _u19796), _u19791), _u19790)), _u19798)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19796, _u19796)), hAPP(hAPP(c_Product__Type_OPair(_u19796, _u19796), _u19790), _u19791)), _u19798)) )).
% 12.54/12.75 cnf(fact_sym__def-2, axiom, ( c_Relation_Osym(_u19797, _u19799) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19797, _u19797)), hAPP(hAPP(c_Product__Type_OPair(_u19797, _u19797), skolem548(_u19799, _u19797)), skolem549(_u19799, _u19797))), _u19799)) )).
% 12.54/12.75 cnf(fact_sym__def-3, axiom, ( c_Relation_Osym(_u19797, _u19799) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19797, _u19797)), hAPP(hAPP(c_Product__Type_OPair(_u19797, _u19797), skolem549(_u19799, _u19797)), skolem548(_u19799, _u19797))), _u19799)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_symD ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_symD-1, axiom, ( ~c_Relation_Osym(_u19800, _u19801) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19800, _u19800)), hAPP(hAPP(c_Product__Type_OPair(_u19800, _u19800), _u19802), _u19803)), _u19801)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19800, _u19800)), hAPP(hAPP(c_Product__Type_OPair(_u19800, _u19800), _u19803), _u19802)), _u19801)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sym__converse ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sym__converse-1, axiom, ( ~c_Relation_Osym(_u19806, hAPP(c_Relation_Oconverse(_u19806, _u19806), _u19808)) | c_Relation_Osym(_u19806, _u19808) )).
% 12.54/12.75 cnf(fact_sym__converse-2, axiom, ( ~c_Relation_Osym(_u19807, _u19809) | c_Relation_Osym(_u19807, hAPP(c_Relation_Oconverse(_u19807, _u19807), _u19809)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sym__conv__converse__eq ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sym__conv__converse__eq-1, axiom, ( ~c_Relation_Osym(_u19812, _u19814) | ( hAPP(c_Relation_Oconverse(_u19812, _u19812), _u19814) = _u19814) )).
% 12.54/12.75 cnf(fact_sym__conv__converse__eq-2, axiom, ( ( hAPP(c_Relation_Oconverse(_u19813, _u19813), _u19815) != _u19815) | c_Relation_Osym(_u19813, _u19815) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_listrel__sym ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_listrel__sym-1, axiom, ( ~c_Relation_Osym(_u19816, _u19817) | c_Relation_Osym(tc_List_Olist(_u19816), c_List_Olistrel(_u19816, _u19817)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sym__Id__on ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sym__Id__on-1, axiom, ( c_Relation_Osym(_u19818, c_Relation_OId__on(_u19818, _u19819)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sym__trancl ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sym__trancl-1, axiom, ( ~c_Relation_Osym(_u19820, _u19821) | c_Relation_Osym(_u19820, c_Transitive__Closure_Otrancl(_u19820, _u19821)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sym__Un ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sym__Un-1, axiom, ( ~c_Relation_Osym(_u19822, _u19823) | ~c_Relation_Osym(_u19822, _u19824) | c_Relation_Osym(_u19822, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19822, _u19822), tc_HOL_Obool)), _u19823), _u19824)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sym__Id ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sym__Id-1, axiom, ( c_Relation_Osym(_u19825, c_Relation_OId(_u19825)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sym__rtrancl ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sym__rtrancl-1, axiom, ( ~c_Relation_Osym(_u19826, _u19827) | c_Relation_Osym(_u19826, c_Transitive__Closure_Ortrancl(_u19826, _u19827)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sym__Int ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sym__Int-1, axiom, ( ~c_Relation_Osym(_u19828, _u19829) | ~c_Relation_Osym(_u19828, _u19830) | c_Relation_Osym(_u19828, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u19828, _u19828), tc_HOL_Obool)), _u19829), _u19830)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sym__Un__converse ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sym__Un__converse-1, axiom, ( c_Relation_Osym(_u19831, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19831, _u19831), tc_HOL_Obool)), _u19832), hAPP(c_Relation_Oconverse(_u19831, _u19831), _u19832))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sym__inv__image ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sym__inv__image-1, axiom, ( ~c_Relation_Osym(_u19833, _u19834) | c_Relation_Osym(_u19835, hAPP(hAPP(c_Relation_Oinv__image(_u19833, _u19835), _u19834), _u19836)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_sym__Int__converse ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_sym__Int__converse-1, axiom, ( c_Relation_Osym(_u19837, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u19837, _u19837), tc_HOL_Obool)), _u19838), hAPP(c_Relation_Oconverse(_u19837, _u19837), _u19838))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_equivE ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_equivE-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u19839, _u19840, _u19841) | c_Relation_Orefl__on(_u19839, _u19840, _u19841) )).
% 12.54/12.75 cnf(fact_equivE-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u19839, _u19840, _u19841) | c_Relation_Osym(_u19839, _u19841) )).
% 12.54/12.75 cnf(fact_equivE-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u19839, _u19840, _u19841) | c_Relation_Otrans(_u19839, _u19841) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_equivI ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_equivI-1, axiom, ( ~c_Relation_Orefl__on(_u19842, _u19843, _u19844) | ~c_Relation_Osym(_u19842, _u19844) | ~c_Relation_Otrans(_u19842, _u19844) | c_Equiv__Relations_Oequiv(_u19842, _u19843, _u19844) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_equiv__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_equiv__def-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u19848, _u19850, _u19852) | c_Relation_Orefl__on(_u19848, _u19850, _u19852) )).
% 12.54/12.75 cnf(fact_equiv__def-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u19848, _u19850, _u19852) | c_Relation_Osym(_u19848, _u19852) )).
% 12.54/12.75 cnf(fact_equiv__def-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u19848, _u19850, _u19852) | c_Relation_Otrans(_u19848, _u19852) )).
% 12.54/12.75 cnf(fact_equiv__def-4, axiom, ( ~c_Relation_Orefl__on(_u19849, _u19851, _u19853) | ~c_Relation_Osym(_u19849, _u19853) | ~c_Relation_Otrans(_u19849, _u19853) | c_Equiv__Relations_Oequiv(_u19849, _u19851, _u19853) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_symp__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_symp__def-1, axiom, ( ~c_Predicate_Osymp(_u19856, _u19858) | c_Relation_Osym(_u19856, hAPP(c_Set_OCollect(tc_prod(_u19856, _u19856)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19856, _u19856, tc_HOL_Obool), _u19858))) )).
% 12.54/12.75 cnf(fact_symp__def-2, axiom, ( ~c_Relation_Osym(_u19857, hAPP(c_Set_OCollect(tc_prod(_u19857, _u19857)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19857, _u19857, tc_HOL_Obool), _u19859))) | c_Predicate_Osymp(_u19857, _u19859) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_part__equivp__refl__symp__transp ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_part__equivp__refl__symp__transp-1, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u19864, _u19866) | hBOOL(hAPP(hAPP(_u19866, skolem550(_u19866, _u19864)), skolem550(_u19866, _u19864))) )).
% 12.54/12.75 cnf(fact_part__equivp__refl__symp__transp-2, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u19864, _u19866) | c_Predicate_Osymp(_u19864, _u19866) )).
% 12.54/12.75 cnf(fact_part__equivp__refl__symp__transp-3, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u19864, _u19866) | c_Predicate_Otransp(_u19864, _u19866) )).
% 12.54/12.75 cnf(fact_part__equivp__refl__symp__transp-4, axiom, ( ~hBOOL(hAPP(hAPP(_u19867, _u19861), _u19861)) | ~c_Predicate_Osymp(_u19865, _u19867) | ~c_Predicate_Otransp(_u19865, _u19867) | c_Equiv__Relations_Opart__equivp(_u19865, _u19867) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_part__equivpI ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_part__equivpI-1, axiom, ( ~hBOOL(hAPP(hAPP(_u19869, _u19868), _u19868)) | ~c_Predicate_Osymp(_u19870, _u19869) | ~c_Predicate_Otransp(_u19870, _u19869) | c_Equiv__Relations_Opart__equivp(_u19870, _u19869) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_equivp__implies__part__equivp ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_equivp__implies__part__equivp-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u19871, _u19872) | c_Equiv__Relations_Opart__equivp(_u19871, _u19872) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_part__equivp__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_part__equivp__def-1, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u19889, _u19891) | hBOOL(hAPP(hAPP(_u19891, skolem551(_u19891)), skolem551(_u19891))) )).
% 12.54/12.75 cnf(fact_part__equivp__def-2, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u19889, _u19891) | ~hBOOL(hAPP(hAPP(_u19891, _u19883), _u19881)) | hBOOL(hAPP(hAPP(_u19891, _u19883), _u19883)) )).
% 12.54/12.75 cnf(fact_part__equivp__def-3, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u19889, _u19891) | ~hBOOL(hAPP(hAPP(_u19891, _u19883), _u19881)) | hBOOL(hAPP(hAPP(_u19891, _u19881), _u19881)) )).
% 12.54/12.75 cnf(fact_part__equivp__def-4, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u19889, _u19891) | ~hBOOL(hAPP(hAPP(_u19891, _u19883), _u19881)) | ( hAPP(_u19891, _u19883) = hAPP(_u19891, _u19881)) )).
% 12.54/12.75 cnf(fact_part__equivp__def-5, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u19889, _u19891) | ~hBOOL(hAPP(hAPP(_u19891, _u19884), _u19884)) | ~hBOOL(hAPP(hAPP(_u19891, _u19882), _u19882)) | ( hAPP(_u19891, _u19884) != hAPP(_u19891, _u19882)) | hBOOL(hAPP(hAPP(_u19891, _u19884), _u19882)) )).
% 12.54/12.75 cnf(fact_part__equivp__def-6, axiom, ( c_Equiv__Relations_Opart__equivp(_u19890, _u19892) | ~hBOOL(hAPP(hAPP(_u19892, _u19876), _u19876)) | hBOOL(hAPP(hAPP(_u19892, skolem552(_u19892)), skolem553(_u19892))) | hBOOL(hAPP(hAPP(_u19892, skolem554(_u19892)), skolem554(_u19892))) )).
% 12.54/12.75 cnf(fact_part__equivp__def-7, axiom, ( c_Equiv__Relations_Opart__equivp(_u19890, _u19892) | ~hBOOL(hAPP(hAPP(_u19892, _u19876), _u19876)) | hBOOL(hAPP(hAPP(_u19892, skolem552(_u19892)), skolem553(_u19892))) | hBOOL(hAPP(hAPP(_u19892, skolem555(_u19892)), skolem555(_u19892))) )).
% 12.54/12.75 cnf(fact_part__equivp__def-8, axiom, ( c_Equiv__Relations_Opart__equivp(_u19890, _u19892) | ~hBOOL(hAPP(hAPP(_u19892, _u19876), _u19876)) | hBOOL(hAPP(hAPP(_u19892, skolem552(_u19892)), skolem553(_u19892))) | ( hAPP(_u19892, skolem554(_u19892)) = hAPP(_u19892, skolem555(_u19892))) )).
% 12.54/12.75 cnf(fact_part__equivp__def-9, axiom, ( c_Equiv__Relations_Opart__equivp(_u19890, _u19892) | ~hBOOL(hAPP(hAPP(_u19892, _u19876), _u19876)) | hBOOL(hAPP(hAPP(_u19892, skolem552(_u19892)), skolem553(_u19892))) | ~hBOOL(hAPP(hAPP(_u19892, skolem554(_u19892)), skolem555(_u19892))) )).
% 12.54/12.75 cnf(fact_part__equivp__def-10, axiom, ( c_Equiv__Relations_Opart__equivp(_u19890, _u19892) | ~hBOOL(hAPP(hAPP(_u19892, _u19876), _u19876)) | ~hBOOL(hAPP(hAPP(_u19892, skolem552(_u19892)), skolem552(_u19892))) | ~hBOOL(hAPP(hAPP(_u19892, skolem553(_u19892)), skolem553(_u19892))) | ( hAPP(_u19892, skolem552(_u19892)) != hAPP(_u19892, skolem553(_u19892))) | hBOOL(hAPP(hAPP(_u19892, skolem554(_u19892)), skolem554(_u19892))) )).
% 12.54/12.75 cnf(fact_part__equivp__def-11, axiom, ( c_Equiv__Relations_Opart__equivp(_u19890, _u19892) | ~hBOOL(hAPP(hAPP(_u19892, _u19876), _u19876)) | ~hBOOL(hAPP(hAPP(_u19892, skolem552(_u19892)), skolem552(_u19892))) | ~hBOOL(hAPP(hAPP(_u19892, skolem553(_u19892)), skolem553(_u19892))) | ( hAPP(_u19892, skolem552(_u19892)) != hAPP(_u19892, skolem553(_u19892))) | hBOOL(hAPP(hAPP(_u19892, skolem555(_u19892)), skolem555(_u19892))) )).
% 12.54/12.75 cnf(fact_part__equivp__def-12, axiom, ( c_Equiv__Relations_Opart__equivp(_u19890, _u19892) | ~hBOOL(hAPP(hAPP(_u19892, _u19876), _u19876)) | ~hBOOL(hAPP(hAPP(_u19892, skolem552(_u19892)), skolem552(_u19892))) | ~hBOOL(hAPP(hAPP(_u19892, skolem553(_u19892)), skolem553(_u19892))) | ( hAPP(_u19892, skolem552(_u19892)) != hAPP(_u19892, skolem553(_u19892))) | ( hAPP(_u19892, skolem554(_u19892)) = hAPP(_u19892, skolem555(_u19892))) )).
% 12.54/12.75 cnf(fact_part__equivp__def-13, axiom, ( c_Equiv__Relations_Opart__equivp(_u19890, _u19892) | ~hBOOL(hAPP(hAPP(_u19892, _u19876), _u19876)) | ~hBOOL(hAPP(hAPP(_u19892, skolem552(_u19892)), skolem552(_u19892))) | ~hBOOL(hAPP(hAPP(_u19892, skolem553(_u19892)), skolem553(_u19892))) | ( hAPP(_u19892, skolem552(_u19892)) != hAPP(_u19892, skolem553(_u19892))) | ~hBOOL(hAPP(hAPP(_u19892, skolem554(_u19892)), skolem555(_u19892))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_part__equivp__symp ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_part__equivp__symp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u19894, _u19895), _u19896)) | hBOOL(hAPP(hAPP(_u19894, _u19896), _u19895)) | ~c_Equiv__Relations_Opart__equivp(_u19893, _u19894) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_part__equivp__transp ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_part__equivp__transp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u19898, _u19899), _u19900)) | ~hBOOL(hAPP(hAPP(_u19898, _u19900), _u19901)) | hBOOL(hAPP(hAPP(_u19898, _u19899), _u19901)) | ~c_Equiv__Relations_Opart__equivp(_u19897, _u19898) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_part__equivpE ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_part__equivpE-1, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u19903, _u19904) | hBOOL(hAPP(hAPP(_u19904, skolem556(_u19904, _u19903)), skolem556(_u19904, _u19903))) )).
% 12.54/12.75 cnf(fact_part__equivpE-2, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u19903, _u19904) | c_Predicate_Osymp(_u19903, _u19904) )).
% 12.54/12.75 cnf(fact_part__equivpE-3, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u19903, _u19904) | c_Predicate_Otransp(_u19903, _u19904) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_part__equivp__typedef ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_part__equivp__typedef-1, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u19906, _u19907) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19906, tc_HOL_Obool)), skolem557(_u19907, _u19906)), hAPP(hAPP(c_COMBB(tc_fun(_u19906, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u19906, tc_HOL_Obool)), c_HOL_OEx(_u19906)), hAPP(hAPP(c_COMBB(tc_fun(_u19906, tc_HOL_Obool), tc_fun(_u19906, tc_HOL_Obool), tc_fun(_u19906, tc_HOL_Obool)), hAPP(c_COMBS(_u19906, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19906), c_fconj), hAPP(hAPP(c_COMBS(_u19906, _u19906, tc_HOL_Obool), _u19907), c_COMBI(_u19906))))), hAPP(hAPP(c_COMBC(tc_fun(_u19906, tc_HOL_Obool), tc_fun(_u19906, tc_fun(_u19906, tc_HOL_Obool)), tc_fun(_u19906, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19906, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u19906, tc_fun(_u19906, tc_HOL_Obool)), tc_fun(_u19906, tc_HOL_Obool)), tc_fun(_u19906, tc_HOL_Obool)), c_COMBB(tc_fun(_u19906, tc_HOL_Obool), tc_HOL_Obool, _u19906)), c_fequal)), _u19907))))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_inj__iff ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_inj__iff-1, axiom, ( ~c_Fun_Oinj__on(_u19911, _u19913, _u19915, c_Orderings_Otop__class_Otop(tc_fun(_u19911, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u19913, _u19911, _u19911, c_Hilbert__Choice_Oinv__into(_u19911, _u19913, c_Orderings_Otop__class_Otop(tc_fun(_u19911, tc_HOL_Obool)), _u19915)), _u19915) = c_Fun_Oid(_u19911)) )).
% 12.54/12.75 cnf(fact_inj__iff-2, axiom, ( ( hAPP(c_Fun_Ocomp(_u19914, _u19912, _u19912, c_Hilbert__Choice_Oinv__into(_u19912, _u19914, c_Orderings_Otop__class_Otop(tc_fun(_u19912, tc_HOL_Obool)), _u19916)), _u19916) != c_Fun_Oid(_u19912)) | c_Fun_Oinj__on(_u19912, _u19914, _u19916, c_Orderings_Otop__class_Otop(tc_fun(_u19912, tc_HOL_Obool))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_inv__o__cancel ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_inv__o__cancel-1, axiom, ( ~c_Fun_Oinj__on(_u19917, _u19918, _u19919, c_Orderings_Otop__class_Otop(tc_fun(_u19917, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u19918, _u19917, _u19917, c_Hilbert__Choice_Oinv__into(_u19917, _u19918, c_Orderings_Otop__class_Otop(tc_fun(_u19917, tc_HOL_Obool)), _u19919)), _u19919) = c_Fun_Oid(_u19917)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_o__inv__o__cancel ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_o__inv__o__cancel-1, axiom, ( ~c_Fun_Oinj__on(_u19920, _u19921, _u19922, c_Orderings_Otop__class_Otop(tc_fun(_u19920, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u19921, _u19923, _u19920, hAPP(c_Fun_Ocomp(_u19920, _u19923, _u19921, _u19924), c_Hilbert__Choice_Oinv__into(_u19920, _u19921, c_Orderings_Otop__class_Otop(tc_fun(_u19920, tc_HOL_Obool)), _u19922))), _u19922) = _u19924) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_inv__id ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_inv__id-1, axiom, ( ( c_Hilbert__Choice_Oinv__into(_u19925, _u19925, c_Orderings_Otop__class_Otop(tc_fun(_u19925, tc_HOL_Obool)), c_Fun_Oid(_u19925)) = c_Fun_Oid(_u19925)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_image__inv__into__cancel ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_image__inv__into__cancel-1, axiom, ( ( hAPP(c_Set_Oimage(_u19926, _u19927, _u19928), _u19929) != _u19930) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19927, tc_HOL_Obool)), _u19931), _u19930)) | ( hAPP(c_Set_Oimage(_u19926, _u19927, _u19928), hAPP(c_Set_Oimage(_u19927, _u19926, c_Hilbert__Choice_Oinv__into(_u19926, _u19927, _u19929, _u19928)), _u19931)) = _u19931) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_surj__iff__all ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_surj__iff__all-1, axiom, ( ( hAPP(c_Set_Oimage(_u19937, _u19939, _u19941), c_Orderings_Otop__class_Otop(tc_fun(_u19937, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u19939, tc_HOL_Obool))) | ( hAPP(_u19941, hAPP(c_Hilbert__Choice_Oinv__into(_u19937, _u19939, c_Orderings_Otop__class_Otop(tc_fun(_u19937, tc_HOL_Obool)), _u19941), _u19932)) = _u19932) )).
% 12.54/12.75 cnf(fact_surj__iff__all-2, axiom, ( ( hAPP(_u19942, hAPP(c_Hilbert__Choice_Oinv__into(_u19938, _u19940, c_Orderings_Otop__class_Otop(tc_fun(_u19938, tc_HOL_Obool)), _u19942), skolem558(_u19942, _u19940, _u19938))) != skolem558(_u19942, _u19940, _u19938)) | ( hAPP(c_Set_Oimage(_u19938, _u19940, _u19942), c_Orderings_Otop__class_Otop(tc_fun(_u19938, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u19940, tc_HOL_Obool))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_surj__f__inv__f ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_surj__f__inv__f-1, axiom, ( ( hAPP(c_Set_Oimage(_u19943, _u19944, _u19945), c_Orderings_Otop__class_Otop(tc_fun(_u19943, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u19944, tc_HOL_Obool))) | ( hAPP(_u19945, hAPP(c_Hilbert__Choice_Oinv__into(_u19943, _u19944, c_Orderings_Otop__class_Otop(tc_fun(_u19943, tc_HOL_Obool)), _u19945), _u19946)) = _u19946) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_image__surj__f__inv__f ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_image__surj__f__inv__f-1, axiom, ( ( hAPP(c_Set_Oimage(_u19947, _u19948, _u19949), c_Orderings_Otop__class_Otop(tc_fun(_u19947, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u19948, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u19947, _u19948, _u19949), hAPP(c_Set_Oimage(_u19948, _u19947, c_Hilbert__Choice_Oinv__into(_u19947, _u19948, c_Orderings_Otop__class_Otop(tc_fun(_u19947, tc_HOL_Obool)), _u19949)), _u19950)) = _u19950) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_inv__into__injective ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_inv__into__injective-1, axiom, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u19951, _u19952, _u19953, _u19954), _u19955) != hAPP(c_Hilbert__Choice_Oinv__into(_u19951, _u19952, _u19953, _u19954), _u19956)) | ~hBOOL(hAPP(hAPP(c_member(_u19952), _u19955), hAPP(c_Set_Oimage(_u19951, _u19952, _u19954), _u19953))) | ~hBOOL(hAPP(hAPP(c_member(_u19952), _u19956), hAPP(c_Set_Oimage(_u19951, _u19952, _u19954), _u19953))) | ( _u19955 = _u19956) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_inv__into__into ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_inv__into__into-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19957), _u19958), hAPP(c_Set_Oimage(_u19959, _u19957, _u19960), _u19961))) | hBOOL(hAPP(hAPP(c_member(_u19959), hAPP(c_Hilbert__Choice_Oinv__into(_u19959, _u19957, _u19961, _u19960), _u19958)), _u19961)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_f__inv__into__f ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_f__inv__into__f-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19962), _u19963), hAPP(c_Set_Oimage(_u19964, _u19962, _u19965), _u19966))) | ( hAPP(_u19965, hAPP(c_Hilbert__Choice_Oinv__into(_u19964, _u19962, _u19966, _u19965), _u19963)) = _u19963) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_inv__into__f__f ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_inv__into__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u19967, _u19968, _u19969, _u19970) | ~hBOOL(hAPP(hAPP(c_member(_u19967), _u19971), _u19970)) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u19967, _u19968, _u19970, _u19969), hAPP(_u19969, _u19971)) = _u19971) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_inv__into__f__eq ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_inv__into__f__eq-1, axiom, ( ~c_Fun_Oinj__on(_u19972, _u19973, _u19974, _u19975) | ~hBOOL(hAPP(hAPP(c_member(_u19972), _u19976), _u19975)) | ( hAPP(_u19974, _u19976) != _u19977) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u19972, _u19973, _u19975, _u19974), _u19977) = _u19976) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_inv__f__eq ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_inv__f__eq-1, axiom, ( ~c_Fun_Oinj__on(_u19978, _u19979, _u19980, c_Orderings_Otop__class_Otop(tc_fun(_u19978, tc_HOL_Obool))) | ( hAPP(_u19980, _u19981) != _u19982) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u19978, _u19979, c_Orderings_Otop__class_Otop(tc_fun(_u19978, tc_HOL_Obool)), _u19980), _u19982) = _u19981) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_inv__f__f ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_inv__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u19983, _u19984, _u19985, c_Orderings_Otop__class_Otop(tc_fun(_u19983, tc_HOL_Obool))) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u19983, _u19984, c_Orderings_Otop__class_Otop(tc_fun(_u19983, tc_HOL_Obool)), _u19985), hAPP(_u19985, _u19986)) = _u19986) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_inv__into__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_inv__into__def-1, axiom, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u19987, _u19988, _u19989, _u19990), _u19991) = c_Hilbert__Choice_OEps(_u19987, hAPP(hAPP(c_COMBS(_u19987, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19987), c_fconj), hAPP(hAPP(c_COMBC(_u19987, tc_fun(_u19987, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19987)), _u19989))), hAPP(hAPP(c_COMBC(_u19987, _u19988, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u19988, tc_fun(_u19988, tc_HOL_Obool), _u19987), c_fequal), _u19990)), _u19991)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_inv__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_inv__def-1, axiom, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u19992, _u19993, c_Orderings_Otop__class_Otop(tc_fun(_u19992, tc_HOL_Obool)), _u19994), _u19995) = c_Hilbert__Choice_OEps(_u19992, hAPP(hAPP(c_COMBC(_u19992, _u19993, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u19993, tc_fun(_u19993, tc_HOL_Obool), _u19992), c_fequal), _u19994)), _u19995))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_inj__imp__surj__inv ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_inj__imp__surj__inv-1, axiom, ( ~c_Fun_Oinj__on(_u19996, _u19997, _u19998, c_Orderings_Otop__class_Otop(tc_fun(_u19996, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u19997, _u19996, c_Hilbert__Choice_Oinv__into(_u19996, _u19997, c_Orderings_Otop__class_Otop(tc_fun(_u19996, tc_HOL_Obool)), _u19998)), c_Orderings_Otop__class_Otop(tc_fun(_u19997, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u19996, tc_HOL_Obool))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_image__inv__f__f ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_image__inv__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u19999, _u20000, _u20001, c_Orderings_Otop__class_Otop(tc_fun(_u19999, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20000, _u19999, c_Hilbert__Choice_Oinv__into(_u19999, _u20000, c_Orderings_Otop__class_Otop(tc_fun(_u19999, tc_HOL_Obool)), _u20001)), hAPP(c_Set_Oimage(_u19999, _u20000, _u20001), _u20002)) = _u20002) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_inv__image__comp ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_inv__image__comp-1, axiom, ( ~c_Fun_Oinj__on(_u20003, _u20004, _u20005, c_Orderings_Otop__class_Otop(tc_fun(_u20003, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20004, _u20003, c_Hilbert__Choice_Oinv__into(_u20003, _u20004, c_Orderings_Otop__class_Otop(tc_fun(_u20003, tc_HOL_Obool)), _u20005)), hAPP(c_Set_Oimage(_u20003, _u20004, _u20005), _u20006)) = _u20006) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_surj__imp__inj__inv ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_surj__imp__inj__inv-1, axiom, ( ( hAPP(c_Set_Oimage(_u20007, _u20008, _u20009), c_Orderings_Otop__class_Otop(tc_fun(_u20007, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20008, tc_HOL_Obool))) | c_Fun_Oinj__on(_u20008, _u20007, c_Hilbert__Choice_Oinv__into(_u20007, _u20008, c_Orderings_Otop__class_Otop(tc_fun(_u20007, tc_HOL_Obool)), _u20009), c_Orderings_Otop__class_Otop(tc_fun(_u20008, tc_HOL_Obool))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_inj__on__inv__into ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_inj__on__inv__into-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20010, tc_HOL_Obool)), _u20011), hAPP(c_Set_Oimage(_u20012, _u20010, _u20013), _u20014))) | c_Fun_Oinj__on(_u20010, _u20012, c_Hilbert__Choice_Oinv__into(_u20012, _u20010, _u20014, _u20013), _u20011) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_inv__into__image__cancel ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_inv__into__image__cancel-1, axiom, ( ~c_Fun_Oinj__on(_u20015, _u20016, _u20017, _u20018) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20015, tc_HOL_Obool)), _u20019), _u20018)) | ( hAPP(c_Set_Oimage(_u20016, _u20015, c_Hilbert__Choice_Oinv__into(_u20015, _u20016, _u20018, _u20017)), hAPP(c_Set_Oimage(_u20015, _u20016, _u20017), _u20019)) = _u20019) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_inv__into__comp ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_inv__into__comp-1, axiom, ( ~c_Fun_Oinj__on(_u20020, _u20021, _u20022, hAPP(c_Set_Oimage(_u20023, _u20020, _u20024), _u20025)) | ~c_Fun_Oinj__on(_u20023, _u20020, _u20024, _u20025) | ~hBOOL(hAPP(hAPP(c_member(_u20021), _u20026), hAPP(c_Set_Oimage(_u20020, _u20021, _u20022), hAPP(c_Set_Oimage(_u20023, _u20020, _u20024), _u20025)))) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20023, _u20021, _u20025, hAPP(c_Fun_Ocomp(_u20020, _u20021, _u20023, _u20022), _u20024)), _u20026) = hAPP(hAPP(c_Fun_Ocomp(_u20020, _u20023, _u20021, c_Hilbert__Choice_Oinv__into(_u20023, _u20020, _u20025, _u20024)), c_Hilbert__Choice_Oinv__into(_u20020, _u20021, hAPP(c_Set_Oimage(_u20023, _u20020, _u20024), _u20025), _u20022)), _u20026)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_surj__iff ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_surj__iff-1, axiom, ( ( hAPP(c_Set_Oimage(_u20030, _u20032, _u20034), c_Orderings_Otop__class_Otop(tc_fun(_u20030, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20032, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u20030, _u20032, _u20032, _u20034), c_Hilbert__Choice_Oinv__into(_u20030, _u20032, c_Orderings_Otop__class_Otop(tc_fun(_u20030, tc_HOL_Obool)), _u20034)) = c_Fun_Oid(_u20032)) )).
% 12.54/12.75 cnf(fact_surj__iff-2, axiom, ( ( hAPP(c_Fun_Ocomp(_u20031, _u20033, _u20033, _u20035), c_Hilbert__Choice_Oinv__into(_u20031, _u20033, c_Orderings_Otop__class_Otop(tc_fun(_u20031, tc_HOL_Obool)), _u20035)) != c_Fun_Oid(_u20033)) | ( hAPP(c_Set_Oimage(_u20031, _u20033, _u20035), c_Orderings_Otop__class_Otop(tc_fun(_u20031, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20033, tc_HOL_Obool))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_inj__transfer ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_inj__transfer-1, axiom, ( ~c_Fun_Oinj__on(_u20037, _u20038, _u20039, c_Orderings_Otop__class_Otop(tc_fun(_u20037, tc_HOL_Obool))) | hBOOL(hAPP(_u20040, _u20041)) | hBOOL(hAPP(hAPP(c_member(_u20038), skolem559(_u20041, _u20040, _u20039, _u20038, _u20037)), hAPP(c_Set_Oimage(_u20037, _u20038, _u20039), c_Orderings_Otop__class_Otop(tc_fun(_u20037, tc_HOL_Obool))))) )).
% 12.54/12.75 cnf(fact_inj__transfer-2, axiom, ( ~c_Fun_Oinj__on(_u20037, _u20038, _u20039, c_Orderings_Otop__class_Otop(tc_fun(_u20037, tc_HOL_Obool))) | hBOOL(hAPP(_u20040, _u20041)) | ~hBOOL(hAPP(_u20040, hAPP(c_Hilbert__Choice_Oinv__into(_u20037, _u20038, c_Orderings_Otop__class_Otop(tc_fun(_u20037, tc_HOL_Obool)), _u20039), skolem559(_u20041, _u20040, _u20039, _u20038, _u20037)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_fold__image__UN__disjoint ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_fold__image__UN__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20045) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20046), _u20047)) | hBOOL(hAPP(hAPP(c_member(_u20046), skolem560(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045)), _u20047)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20048, c_Groups_Otimes__class_Otimes(_u20045)), _u20050), c_Groups_Oone__class_Oone(_u20045)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20046, tc_fun(_u20048, tc_HOL_Obool)), _u20047), _u20049)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20046, c_Groups_Otimes__class_Otimes(_u20045)), hAPP(hAPP(c_COMBB(tc_fun(_u20048, tc_HOL_Obool), _u20045, _u20046), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20048, c_Groups_Otimes__class_Otimes(_u20045)), _u20050), c_Groups_Oone__class_Oone(_u20045))), _u20049)), c_Groups_Oone__class_Oone(_u20045)), _u20047)) | hBOOL(hAPP(hAPP(c_member(_u20046), skolem561(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045)), _u20047)) )).
% 12.54/12.75 cnf(fact_fold__image__UN__disjoint-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20045) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20046), _u20047)) | hBOOL(hAPP(hAPP(c_member(_u20046), skolem560(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045)), _u20047)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20048, c_Groups_Otimes__class_Otimes(_u20045)), _u20050), c_Groups_Oone__class_Oone(_u20045)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20046, tc_fun(_u20048, tc_HOL_Obool)), _u20047), _u20049)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20046, c_Groups_Otimes__class_Otimes(_u20045)), hAPP(hAPP(c_COMBB(tc_fun(_u20048, tc_HOL_Obool), _u20045, _u20046), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20048, c_Groups_Otimes__class_Otimes(_u20045)), _u20050), c_Groups_Oone__class_Oone(_u20045))), _u20049)), c_Groups_Oone__class_Oone(_u20045)), _u20047)) | hBOOL(hAPP(hAPP(c_member(_u20046), skolem562(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045)), _u20047)) )).
% 12.54/12.75 cnf(fact_fold__image__UN__disjoint-3, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20045) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20046), _u20047)) | hBOOL(hAPP(hAPP(c_member(_u20046), skolem560(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045)), _u20047)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20048, c_Groups_Otimes__class_Otimes(_u20045)), _u20050), c_Groups_Oone__class_Oone(_u20045)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20046, tc_fun(_u20048, tc_HOL_Obool)), _u20047), _u20049)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20046, c_Groups_Otimes__class_Otimes(_u20045)), hAPP(hAPP(c_COMBB(tc_fun(_u20048, tc_HOL_Obool), _u20045, _u20046), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20048, c_Groups_Otimes__class_Otimes(_u20045)), _u20050), c_Groups_Oone__class_Oone(_u20045))), _u20049)), c_Groups_Oone__class_Oone(_u20045)), _u20047)) | ( skolem561(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045) != skolem562(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045)) )).
% 12.54/12.75 cnf(fact_fold__image__UN__disjoint-4, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20045) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20046), _u20047)) | hBOOL(hAPP(hAPP(c_member(_u20046), skolem560(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045)), _u20047)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20048, c_Groups_Otimes__class_Otimes(_u20045)), _u20050), c_Groups_Oone__class_Oone(_u20045)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20046, tc_fun(_u20048, tc_HOL_Obool)), _u20047), _u20049)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20046, c_Groups_Otimes__class_Otimes(_u20045)), hAPP(hAPP(c_COMBB(tc_fun(_u20048, tc_HOL_Obool), _u20045, _u20046), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20048, c_Groups_Otimes__class_Otimes(_u20045)), _u20050), c_Groups_Oone__class_Oone(_u20045))), _u20049)), c_Groups_Oone__class_Oone(_u20045)), _u20047)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20048, tc_HOL_Obool)), hAPP(_u20049, skolem561(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045))), hAPP(_u20049, skolem562(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045))) != c_Orderings_Obot__class_Obot(tc_fun(_u20048, tc_HOL_Obool))) )).
% 12.54/12.75 cnf(fact_fold__image__UN__disjoint-5, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20045) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20046), _u20047)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20048), hAPP(_u20049, skolem560(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20048, c_Groups_Otimes__class_Otimes(_u20045)), _u20050), c_Groups_Oone__class_Oone(_u20045)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20046, tc_fun(_u20048, tc_HOL_Obool)), _u20047), _u20049)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20046, c_Groups_Otimes__class_Otimes(_u20045)), hAPP(hAPP(c_COMBB(tc_fun(_u20048, tc_HOL_Obool), _u20045, _u20046), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20048, c_Groups_Otimes__class_Otimes(_u20045)), _u20050), c_Groups_Oone__class_Oone(_u20045))), _u20049)), c_Groups_Oone__class_Oone(_u20045)), _u20047)) | hBOOL(hAPP(hAPP(c_member(_u20046), skolem561(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045)), _u20047)) )).
% 12.54/12.75 cnf(fact_fold__image__UN__disjoint-6, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20045) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20046), _u20047)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20048), hAPP(_u20049, skolem560(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20048, c_Groups_Otimes__class_Otimes(_u20045)), _u20050), c_Groups_Oone__class_Oone(_u20045)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20046, tc_fun(_u20048, tc_HOL_Obool)), _u20047), _u20049)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20046, c_Groups_Otimes__class_Otimes(_u20045)), hAPP(hAPP(c_COMBB(tc_fun(_u20048, tc_HOL_Obool), _u20045, _u20046), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20048, c_Groups_Otimes__class_Otimes(_u20045)), _u20050), c_Groups_Oone__class_Oone(_u20045))), _u20049)), c_Groups_Oone__class_Oone(_u20045)), _u20047)) | hBOOL(hAPP(hAPP(c_member(_u20046), skolem562(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045)), _u20047)) )).
% 12.54/12.75 cnf(fact_fold__image__UN__disjoint-7, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20045) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20046), _u20047)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20048), hAPP(_u20049, skolem560(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20048, c_Groups_Otimes__class_Otimes(_u20045)), _u20050), c_Groups_Oone__class_Oone(_u20045)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20046, tc_fun(_u20048, tc_HOL_Obool)), _u20047), _u20049)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20046, c_Groups_Otimes__class_Otimes(_u20045)), hAPP(hAPP(c_COMBB(tc_fun(_u20048, tc_HOL_Obool), _u20045, _u20046), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20048, c_Groups_Otimes__class_Otimes(_u20045)), _u20050), c_Groups_Oone__class_Oone(_u20045))), _u20049)), c_Groups_Oone__class_Oone(_u20045)), _u20047)) | ( skolem561(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045) != skolem562(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045)) )).
% 12.54/12.75 cnf(fact_fold__image__UN__disjoint-8, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20045) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20046), _u20047)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20048), hAPP(_u20049, skolem560(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20048, c_Groups_Otimes__class_Otimes(_u20045)), _u20050), c_Groups_Oone__class_Oone(_u20045)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20046, tc_fun(_u20048, tc_HOL_Obool)), _u20047), _u20049)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20046, c_Groups_Otimes__class_Otimes(_u20045)), hAPP(hAPP(c_COMBB(tc_fun(_u20048, tc_HOL_Obool), _u20045, _u20046), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20048, c_Groups_Otimes__class_Otimes(_u20045)), _u20050), c_Groups_Oone__class_Oone(_u20045))), _u20049)), c_Groups_Oone__class_Oone(_u20045)), _u20047)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20048, tc_HOL_Obool)), hAPP(_u20049, skolem561(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045))), hAPP(_u20049, skolem562(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045))) != c_Orderings_Obot__class_Obot(tc_fun(_u20048, tc_HOL_Obool))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_nat__of__induct ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_nat__of__induct-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20052), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u20053, hAPP(c_Code__Numeral_Onat__of, skolem563(_u20053, _u20052)))) | hBOOL(hAPP(_u20053, _u20052)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_nat__of__cases ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_nat__of__cases-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20055), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u20055 = hAPP(c_Code__Numeral_Onat__of, skolem564(_u20055))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_of__nat__induct ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_of__nat__induct-1, axiom, ( hBOOL(hAPP(_u20057, _u20058)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem565(_u20058, _u20057)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.54/12.75 cnf(fact_of__nat__induct-2, axiom, ( hBOOL(hAPP(_u20057, _u20058)) | ~hBOOL(hAPP(_u20057, hAPP(c_Code__Numeral_Oof__nat, skolem565(_u20058, _u20057)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_of__nat__cases ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_of__nat__cases-1, axiom, ( ( _u20060 = hAPP(c_Code__Numeral_Oof__nat, skolem566(_u20060))) )).
% 12.54/12.75 cnf(fact_of__nat__cases-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem566(_u20060)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_lazy__sequence_Orecs_I1_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_lazy__sequence_Orecs_I1_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20061, _u20062, _u20063, _u20064, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20062)) = _u20063) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_beyond__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_beyond__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u20067), _u20069)) | ( c_Quickcheck_Obeyond(_u20067, _u20069) = _u20069) )).
% 12.54/12.75 cnf(fact_beyond__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u20068), _u20070)) | ( c_Quickcheck_Obeyond(_u20068, _u20070) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_beyond__zero ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_beyond__zero-1, axiom, ( ( c_Quickcheck_Obeyond(_u20071, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_lazy__sequence_Orecs_I2_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_lazy__sequence_Orecs_I2_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20072, _u20073, _u20074, _u20075, c_Lazy__Sequence_Olazy__sequence_OInsert(_u20073, _u20076, _u20077)) = hAPP(hAPP(hAPP(_u20075, _u20076), _u20077), c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20072, _u20073, _u20074, _u20075, _u20077))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_bij__image__Collect__eq ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_bij__image__Collect__eq-1, axiom, ( ~c_Fun_Obij__betw(_u20078, _u20079, _u20080, c_Orderings_Otop__class_Otop(tc_fun(_u20078, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20079, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20078, _u20079, _u20080), hAPP(c_Set_OCollect(_u20078), _u20081)) = hAPP(c_Set_OCollect(_u20079), hAPP(hAPP(c_COMBB(_u20078, tc_HOL_Obool, _u20079), _u20081), c_Hilbert__Choice_Oinv__into(_u20078, _u20079, c_Orderings_Otop__class_Otop(tc_fun(_u20078, tc_HOL_Obool)), _u20080)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_curry__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_curry__def-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u20082, _u20083, _u20084, _u20085), _u20086), _u20087) = hAPP(_u20085, hAPP(hAPP(c_Product__Type_OPair(_u20082, _u20083), _u20086), _u20087))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_curryI ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_curryI-1, axiom, ( ~hBOOL(hAPP(_u20088, hAPP(hAPP(c_Product__Type_OPair(_u20089, _u20090), _u20091), _u20092))) | hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20089, _u20090, tc_HOL_Obool, _u20088), _u20091), _u20092)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_bij__betw__id ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_bij__betw__id-1, axiom, ( c_Fun_Obij__betw(_u20093, _u20093, c_Fun_Oid(_u20093), _u20094, _u20094) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_bij__imp__bij__inv ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_bij__imp__bij__inv-1, axiom, ( ~c_Fun_Obij__betw(_u20095, _u20096, _u20097, c_Orderings_Otop__class_Otop(tc_fun(_u20095, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20096, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20096, _u20095, c_Hilbert__Choice_Oinv__into(_u20095, _u20096, c_Orderings_Otop__class_Otop(tc_fun(_u20095, tc_HOL_Obool)), _u20097), c_Orderings_Otop__class_Otop(tc_fun(_u20096, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20095, tc_HOL_Obool))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_inv__inv__eq ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_inv__inv__eq-1, axiom, ( ~c_Fun_Obij__betw(_u20098, _u20099, _u20100, c_Orderings_Otop__class_Otop(tc_fun(_u20098, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20099, tc_HOL_Obool))) | ( c_Hilbert__Choice_Oinv__into(_u20099, _u20098, c_Orderings_Otop__class_Otop(tc_fun(_u20099, tc_HOL_Obool)), c_Hilbert__Choice_Oinv__into(_u20098, _u20099, c_Orderings_Otop__class_Otop(tc_fun(_u20098, tc_HOL_Obool)), _u20100)) = _u20100) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_inv__into__inv__into__eq ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_inv__into__inv__into__eq-1, axiom, ( ~c_Fun_Obij__betw(_u20101, _u20102, _u20103, _u20104, _u20105) | ~hBOOL(hAPP(hAPP(c_member(_u20101), _u20106), _u20104)) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20102, _u20101, _u20105, c_Hilbert__Choice_Oinv__into(_u20101, _u20102, _u20104, _u20103)), _u20106) = hAPP(_u20103, _u20106)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_bij__betw__inv__into ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_bij__betw__inv__into-1, axiom, ( ~c_Fun_Obij__betw(_u20107, _u20108, _u20109, _u20110, _u20111) | c_Fun_Obij__betw(_u20108, _u20107, c_Hilbert__Choice_Oinv__into(_u20107, _u20108, _u20110, _u20109), _u20111, _u20110) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_o__inv__distrib ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_o__inv__distrib-1, axiom, ( ~c_Fun_Obij__betw(_u20112, _u20113, _u20114, c_Orderings_Otop__class_Otop(tc_fun(_u20112, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20113, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20115, _u20112, _u20116, c_Orderings_Otop__class_Otop(tc_fun(_u20115, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20112, tc_HOL_Obool))) | ( c_Hilbert__Choice_Oinv__into(_u20115, _u20113, c_Orderings_Otop__class_Otop(tc_fun(_u20115, tc_HOL_Obool)), hAPP(c_Fun_Ocomp(_u20112, _u20113, _u20115, _u20114), _u20116)) = hAPP(c_Fun_Ocomp(_u20112, _u20115, _u20113, c_Hilbert__Choice_Oinv__into(_u20115, _u20112, c_Orderings_Otop__class_Otop(tc_fun(_u20115, tc_HOL_Obool)), _u20116)), c_Hilbert__Choice_Oinv__into(_u20112, _u20113, c_Orderings_Otop__class_Otop(tc_fun(_u20112, tc_HOL_Obool)), _u20114))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_bij__image__INT ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_bij__image__INT-1, axiom, ( ~c_Fun_Obij__betw(_u20117, _u20118, _u20119, c_Orderings_Otop__class_Otop(tc_fun(_u20117, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20118, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20117, _u20118, _u20119), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20120, tc_fun(_u20117, tc_HOL_Obool)), _u20121), _u20122)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20120, tc_fun(_u20118, tc_HOL_Obool)), _u20121), hAPP(hAPP(c_COMBB(tc_fun(_u20117, tc_HOL_Obool), tc_fun(_u20118, tc_HOL_Obool), _u20120), c_Set_Oimage(_u20117, _u20118, _u20119)), _u20122))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_bij__betw__comp__iff2 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_bij__betw__comp__iff2-1, axiom, ( ~c_Fun_Obij__betw(_u20123, _u20124, _u20125, _u20126, _u20127) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20123, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20128, _u20123, _u20129), _u20130)), _u20126)) | ~c_Fun_Obij__betw(_u20128, _u20123, _u20129, _u20130, _u20126) | c_Fun_Obij__betw(_u20128, _u20124, hAPP(c_Fun_Ocomp(_u20123, _u20124, _u20128, _u20125), _u20129), _u20130, _u20127) )).
% 12.54/12.75 cnf(fact_bij__betw__comp__iff2-2, axiom, ( ~c_Fun_Obij__betw(_u20123, _u20124, _u20125, _u20126, _u20127) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20123, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20128, _u20123, _u20129), _u20130)), _u20126)) | ~c_Fun_Obij__betw(_u20128, _u20124, hAPP(c_Fun_Ocomp(_u20123, _u20124, _u20128, _u20125), _u20129), _u20130, _u20127) | c_Fun_Obij__betw(_u20128, _u20123, _u20129, _u20130, _u20126) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_bij__comp ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_bij__comp-1, axiom, ( ~c_Fun_Obij__betw(_u20131, _u20132, _u20133, c_Orderings_Otop__class_Otop(tc_fun(_u20131, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20132, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20132, _u20134, _u20135, c_Orderings_Otop__class_Otop(tc_fun(_u20132, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20134, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20131, _u20134, hAPP(c_Fun_Ocomp(_u20132, _u20134, _u20131, _u20135), _u20133), c_Orderings_Otop__class_Otop(tc_fun(_u20131, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20134, tc_HOL_Obool))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_bij__betw__comp__iff ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_bij__betw__comp__iff-1, axiom, ( ~c_Fun_Obij__betw(_u20136, _u20137, _u20138, _u20139, _u20140) | ~c_Fun_Obij__betw(_u20137, _u20141, _u20142, _u20140, _u20143) | c_Fun_Obij__betw(_u20136, _u20141, hAPP(c_Fun_Ocomp(_u20137, _u20141, _u20136, _u20142), _u20138), _u20139, _u20143) )).
% 12.54/12.75 cnf(fact_bij__betw__comp__iff-2, axiom, ( ~c_Fun_Obij__betw(_u20136, _u20137, _u20138, _u20139, _u20140) | ~c_Fun_Obij__betw(_u20136, _u20141, hAPP(c_Fun_Ocomp(_u20137, _u20141, _u20136, _u20142), _u20138), _u20139, _u20143) | c_Fun_Obij__betw(_u20137, _u20141, _u20142, _u20140, _u20143) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_bij__betw__trans ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_bij__betw__trans-1, axiom, ( ~c_Fun_Obij__betw(_u20144, _u20145, _u20146, _u20147, _u20148) | ~c_Fun_Obij__betw(_u20145, _u20149, _u20150, _u20148, _u20151) | c_Fun_Obij__betw(_u20144, _u20149, hAPP(c_Fun_Ocomp(_u20145, _u20149, _u20144, _u20150), _u20146), _u20147, _u20151) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_curryE ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_curryE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20152, _u20153, tc_HOL_Obool, _u20154), _u20155), _u20156)) | hBOOL(hAPP(_u20154, hAPP(hAPP(c_Product__Type_OPair(_u20152, _u20153), _u20155), _u20156))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_curryD ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_curryD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20157, _u20158, tc_HOL_Obool, _u20159), _u20160), _u20161)) | hBOOL(hAPP(_u20159, hAPP(hAPP(c_Product__Type_OPair(_u20157, _u20158), _u20160), _u20161))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_curry__conv ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_curry__conv-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u20162, _u20163, _u20164, _u20165), _u20166), _u20167) = hAPP(_u20165, hAPP(hAPP(c_Product__Type_OPair(_u20162, _u20163), _u20166), _u20167))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_finite__vimage__iff ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_finite__vimage__iff-1, axiom, ( ~c_Fun_Obij__betw(_u20168, _u20169, _u20170, c_Orderings_Otop__class_Otop(tc_fun(_u20168, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20169, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20168), hAPP(c_Set_Ovimage(_u20168, _u20169, _u20170), _u20171))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20169), _u20171)) )).
% 12.54/12.75 cnf(fact_finite__vimage__iff-2, axiom, ( ~c_Fun_Obij__betw(_u20168, _u20169, _u20170, c_Orderings_Otop__class_Otop(tc_fun(_u20168, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20169, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20169), _u20171)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20168), hAPP(c_Set_Ovimage(_u20168, _u20169, _u20170), _u20171))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_bij__image__Compl__eq ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_bij__image__Compl__eq-1, axiom, ( ~c_Fun_Obij__betw(_u20172, _u20173, _u20174, c_Orderings_Otop__class_Otop(tc_fun(_u20172, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20173, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20172, _u20173, _u20174), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u20172, tc_HOL_Obool)), _u20175)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u20173, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20172, _u20173, _u20174), _u20175))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_bij__is__inj ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_bij__is__inj-1, axiom, ( ~c_Fun_Obij__betw(_u20176, _u20177, _u20178, c_Orderings_Otop__class_Otop(tc_fun(_u20176, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20177, tc_HOL_Obool))) | c_Fun_Oinj__on(_u20176, _u20177, _u20178, c_Orderings_Otop__class_Otop(tc_fun(_u20176, tc_HOL_Obool))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_bij__betw__imp__inj__on ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_bij__betw__imp__inj__on-1, axiom, ( ~c_Fun_Obij__betw(_u20179, _u20180, _u20181, _u20182, _u20183) | c_Fun_Oinj__on(_u20179, _u20180, _u20181, _u20182) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_bij__betw__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_bij__betw__def-1, axiom, ( ~c_Fun_Obij__betw(_u20189, _u20191, _u20193, _u20195, _u20197) | c_Fun_Oinj__on(_u20189, _u20191, _u20193, _u20195) )).
% 12.54/12.75 cnf(fact_bij__betw__def-2, axiom, ( ~c_Fun_Obij__betw(_u20189, _u20191, _u20193, _u20195, _u20197) | ( hAPP(c_Set_Oimage(_u20189, _u20191, _u20193), _u20195) = _u20197) )).
% 12.54/12.75 cnf(fact_bij__betw__def-3, axiom, ( ~c_Fun_Oinj__on(_u20190, _u20192, _u20194, _u20196) | ( hAPP(c_Set_Oimage(_u20190, _u20192, _u20194), _u20196) != _u20198) | c_Fun_Obij__betw(_u20190, _u20192, _u20194, _u20196, _u20198) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_inj__on__imp__bij__betw ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_inj__on__imp__bij__betw-1, axiom, ( ~c_Fun_Oinj__on(_u20199, _u20200, _u20201, _u20202) | c_Fun_Obij__betw(_u20199, _u20200, _u20201, _u20202, hAPP(c_Set_Oimage(_u20199, _u20200, _u20201), _u20202)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_bij__betw__imp__surj ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_bij__betw__imp__surj-1, axiom, ( ~c_Fun_Obij__betw(_u20203, _u20204, _u20205, _u20206, c_Orderings_Otop__class_Otop(tc_fun(_u20204, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20203, _u20204, _u20205), c_Orderings_Otop__class_Otop(tc_fun(_u20203, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20204, tc_HOL_Obool))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_bij__is__surj ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_bij__is__surj-1, axiom, ( ~c_Fun_Obij__betw(_u20207, _u20208, _u20209, c_Orderings_Otop__class_Otop(tc_fun(_u20207, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20208, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20207, _u20208, _u20209), c_Orderings_Otop__class_Otop(tc_fun(_u20207, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20208, tc_HOL_Obool))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_bij__betw__subset ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_bij__betw__subset-1, axiom, ( ~c_Fun_Obij__betw(_u20210, _u20211, _u20212, _u20213, _u20214) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20210, tc_HOL_Obool)), _u20215), _u20213)) | ( hAPP(c_Set_Oimage(_u20210, _u20211, _u20212), _u20215) != _u20216) | c_Fun_Obij__betw(_u20210, _u20211, _u20212, _u20215, _u20216) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_bij__id ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_bij__id-1, axiom, ( c_Fun_Obij__betw(_u20217, _u20217, c_Fun_Oid(_u20217), c_Orderings_Otop__class_Otop(tc_fun(_u20217, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20217, tc_HOL_Obool))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_bij__betw__id__iff ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_bij__betw__id__iff-1, axiom, ( ( _u20223 = _u20225) | ~c_Fun_Obij__betw(_u20221, _u20221, c_Fun_Oid(_u20221), _u20223, _u20225) )).
% 12.54/12.75 cnf(fact_bij__betw__id__iff-2, axiom, ( ( _u20224 != _u20226) | c_Fun_Obij__betw(_u20222, _u20222, c_Fun_Oid(_u20222), _u20224, _u20226) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_bij__betw__finite ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_bij__betw__finite-1, axiom, ( ~c_Fun_Obij__betw(_u20227, _u20228, _u20229, _u20230, _u20231) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20227), _u20230)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20228), _u20231)) )).
% 12.54/12.75 cnf(fact_bij__betw__finite-2, axiom, ( ~c_Fun_Obij__betw(_u20227, _u20228, _u20229, _u20230, _u20231) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20228), _u20231)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20227), _u20230)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_BIJ ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_BIJ-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20234), _u20235)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20236), _u20237)) | ~c_Fun_Obij__betw(_u20234, _u20236, _u20232, _u20235, _u20237) | ( hAPP(c_Finite__Set_Ocard(_u20234), _u20235) = hAPP(c_Finite__Set_Ocard(_u20236), _u20237)) )).
% 12.54/12.75 cnf(fact_BIJ-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20234), _u20235)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20236), _u20237)) | ( hAPP(c_Finite__Set_Ocard(_u20234), _u20235) != hAPP(c_Finite__Set_Ocard(_u20236), _u20237)) | c_Fun_Obij__betw(_u20234, _u20236, skolem567(_u20237, _u20236, _u20235, _u20234), _u20235, _u20237) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_bij__betw__empty1 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_bij__betw__empty1-1, axiom, ( ( _u20241 = c_Orderings_Obot__class_Obot(tc_fun(_u20239, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20238, _u20239, _u20240, c_Orderings_Obot__class_Obot(tc_fun(_u20238, tc_HOL_Obool)), _u20241) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_bij__betw__empty2 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_bij__betw__empty2-1, axiom, ( ~c_Fun_Obij__betw(_u20242, _u20243, _u20244, _u20245, c_Orderings_Obot__class_Obot(tc_fun(_u20243, tc_HOL_Obool))) | ( _u20245 = c_Orderings_Obot__class_Obot(tc_fun(_u20242, tc_HOL_Obool))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_bij__betw__same__card ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_bij__betw__same__card-1, axiom, ( ~c_Fun_Obij__betw(_u20246, _u20247, _u20248, _u20249, _u20250) | ( hAPP(c_Finite__Set_Ocard(_u20246), _u20249) = hAPP(c_Finite__Set_Ocard(_u20247), _u20250)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_bij__betw__the__inv__into ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_bij__betw__the__inv__into-1, axiom, ( ~c_Fun_Obij__betw(_u20251, _u20252, _u20253, _u20254, _u20255) | c_Fun_Obij__betw(_u20252, _u20251, c_Fun_Othe__inv__into(_u20251, _u20252, _u20254, _u20253), _u20255, _u20254) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_bij__betw__combine ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_bij__betw__combine-1, axiom, ( ~c_Fun_Obij__betw(_u20256, _u20257, _u20258, _u20259, _u20260) | ~c_Fun_Obij__betw(_u20256, _u20257, _u20258, _u20261, _u20262) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20257, tc_HOL_Obool)), _u20260), _u20262) != c_Orderings_Obot__class_Obot(tc_fun(_u20257, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20256, _u20257, _u20258, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20256, tc_HOL_Obool)), _u20259), _u20261), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20257, tc_HOL_Obool)), _u20260), _u20262)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_bij__betw__Disj__Un ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_bij__betw__Disj__Un-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20263, tc_HOL_Obool)), _u20264), _u20265) != c_Orderings_Obot__class_Obot(tc_fun(_u20263, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20266, tc_HOL_Obool)), _u20267), _u20268) != c_Orderings_Obot__class_Obot(tc_fun(_u20266, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20263, _u20266, _u20269, _u20264, _u20267) | ~c_Fun_Obij__betw(_u20263, _u20266, _u20269, _u20265, _u20268) | c_Fun_Obij__betw(_u20263, _u20266, _u20269, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20263, tc_HOL_Obool)), _u20264), _u20265), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20266, tc_HOL_Obool)), _u20267), _u20268)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_bij__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_bij__def-1, axiom, ( ~c_Fun_Obij__betw(_u20273, _u20275, _u20277, c_Orderings_Otop__class_Otop(tc_fun(_u20273, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20275, tc_HOL_Obool))) | c_Fun_Oinj__on(_u20273, _u20275, _u20277, c_Orderings_Otop__class_Otop(tc_fun(_u20273, tc_HOL_Obool))) )).
% 12.54/12.75 cnf(fact_bij__def-2, axiom, ( ~c_Fun_Obij__betw(_u20273, _u20275, _u20277, c_Orderings_Otop__class_Otop(tc_fun(_u20273, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20275, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20273, _u20275, _u20277), c_Orderings_Otop__class_Otop(tc_fun(_u20273, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20275, tc_HOL_Obool))) )).
% 12.54/12.75 cnf(fact_bij__def-3, axiom, ( ~c_Fun_Oinj__on(_u20274, _u20276, _u20278, c_Orderings_Otop__class_Otop(tc_fun(_u20274, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20274, _u20276, _u20278), c_Orderings_Otop__class_Otop(tc_fun(_u20274, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20276, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20274, _u20276, _u20278, c_Orderings_Otop__class_Otop(tc_fun(_u20274, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20276, tc_HOL_Obool))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_bijI ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_bijI-1, axiom, ( ~c_Fun_Oinj__on(_u20279, _u20280, _u20281, c_Orderings_Otop__class_Otop(tc_fun(_u20279, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20279, _u20280, _u20281), c_Orderings_Otop__class_Otop(tc_fun(_u20279, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20280, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20279, _u20280, _u20281, c_Orderings_Otop__class_Otop(tc_fun(_u20279, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20280, tc_HOL_Obool))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_curry__split ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_curry__split-1, axiom, ( ( c_Product__Type_Ocurry(_u20282, _u20283, _u20284, hAPP(c_Product__Type_Oprod_Oprod__case(_u20282, _u20283, _u20284), _u20285)) = _u20285) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_split__curry ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_split__curry-1, axiom, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u20286, _u20287, _u20288), c_Product__Type_Ocurry(_u20286, _u20287, _u20288, _u20289)) = _u20289) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_vimage__subset__eq ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_vimage__subset__eq-1, axiom, ( ~c_Fun_Obij__betw(_u20290, _u20291, _u20292, c_Orderings_Otop__class_Otop(tc_fun(_u20290, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20291, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20290, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u20290, _u20291, _u20292), _u20293)), _u20294)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20291, tc_HOL_Obool)), _u20293), hAPP(c_Set_Oimage(_u20290, _u20291, _u20292), _u20294))) )).
% 12.54/12.75 cnf(fact_vimage__subset__eq-2, axiom, ( ~c_Fun_Obij__betw(_u20290, _u20291, _u20292, c_Orderings_Otop__class_Otop(tc_fun(_u20290, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20291, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20291, tc_HOL_Obool)), _u20293), hAPP(c_Set_Oimage(_u20290, _u20291, _u20292), _u20294))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20290, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u20290, _u20291, _u20292), _u20293)), _u20294)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_bij__vimage__eq__inv__image ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_bij__vimage__eq__inv__image-1, axiom, ( ~c_Fun_Obij__betw(_u20295, _u20296, _u20297, c_Orderings_Otop__class_Otop(tc_fun(_u20295, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20296, tc_HOL_Obool))) | ( hAPP(c_Set_Ovimage(_u20295, _u20296, _u20297), _u20298) = hAPP(c_Set_Oimage(_u20296, _u20295, c_Hilbert__Choice_Oinv__into(_u20295, _u20296, c_Orderings_Otop__class_Otop(tc_fun(_u20295, tc_HOL_Obool)), _u20297)), _u20298)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_ex__bij__betw__nat__finite__1 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_ex__bij__betw__nat__finite__1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20300), _u20301)) | c_Fun_Obij__betw(tc_Nat_Onat, _u20300, skolem568(_u20301, _u20300), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u20300), _u20301)), _u20301) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_Cantor__Bernstein ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_Cantor__Bernstein-1, axiom, ( ~c_Fun_Oinj__on(_u20303, _u20304, _u20305, _u20306) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20304, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20303, _u20304, _u20305), _u20306)), _u20307)) | ~c_Fun_Oinj__on(_u20304, _u20303, _u20308, _u20307) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20303, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20304, _u20303, _u20308), _u20307)), _u20306)) | c_Fun_Obij__betw(_u20303, _u20304, skolem569(_u20308, _u20307, _u20306, _u20305, _u20304, _u20303), _u20306, _u20307) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_ex__bij__betw__nat__finite ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_ex__bij__betw__nat__finite-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20310), _u20311)) | c_Fun_Obij__betw(tc_Nat_Onat, _u20310, skolem570(_u20311, _u20310), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u20310), _u20311)), _u20311) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_ex__bij__betw__finite__nat ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_ex__bij__betw__finite__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20313), _u20314)) | c_Fun_Obij__betw(_u20313, tc_Nat_Onat, skolem571(_u20314, _u20313), _u20314, hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u20313), _u20314))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_refl__on__UNION ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_refl__on__UNION-1, axiom, ( c_Relation_Orefl__on(_u20318, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20316, tc_fun(_u20318, tc_HOL_Obool)), _u20317), _u20319), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20316, tc_fun(tc_prod(_u20318, _u20318), tc_HOL_Obool)), _u20317), _u20320)) | hBOOL(hAPP(hAPP(c_member(_u20316), skolem572(_u20320, _u20319, _u20318, _u20317, _u20316)), _u20317)) )).
% 12.54/12.75 cnf(fact_refl__on__UNION-2, axiom, ( c_Relation_Orefl__on(_u20318, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20316, tc_fun(_u20318, tc_HOL_Obool)), _u20317), _u20319), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20316, tc_fun(tc_prod(_u20318, _u20318), tc_HOL_Obool)), _u20317), _u20320)) | ~c_Relation_Orefl__on(_u20318, hAPP(_u20319, skolem572(_u20320, _u20319, _u20318, _u20317, _u20316)), hAPP(_u20320, skolem572(_u20320, _u20319, _u20318, _u20317, _u20316))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_bex__reg__eqv ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_bex__reg__eqv-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u20325, _u20326) | ~hBOOL(hAPP(hAPP(c_member(_u20325), _u20321), c_Quotient_ORespects(_u20325, _u20326))) | ~hBOOL(hAPP(_u20327, _u20321)) | hBOOL(hAPP(_u20327, skolem573(_u20327, _u20326, _u20325))) )).
% 12.54/12.75 cnf(fact_bex__reg__eqv-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u20325, _u20326) | ~hBOOL(hAPP(_u20327, _u20323)) | hBOOL(hAPP(hAPP(c_member(_u20325), skolem574(_u20327, _u20326, _u20325)), c_Quotient_ORespects(_u20325, _u20326))) )).
% 12.54/12.75 cnf(fact_bex__reg__eqv-3, axiom, ( ~c_Equiv__Relations_Oequivp(_u20325, _u20326) | ~hBOOL(hAPP(_u20327, _u20323)) | hBOOL(hAPP(_u20327, skolem574(_u20327, _u20326, _u20325))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_Respects__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_Respects__def-1, axiom, ( hBOOL(hAPP(hAPP(_u20333, _u20335), _u20335)) | ~hBOOL(hAPP(c_Quotient_ORespects(_u20331, _u20333), _u20335)) )).
% 12.54/12.75 cnf(fact_Respects__def-2, axiom, ( ~hBOOL(hAPP(hAPP(_u20334, _u20336), _u20336)) | hBOOL(hAPP(c_Quotient_ORespects(_u20332, _u20334), _u20336)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_in__respects ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_in__respects-1, axiom, ( hBOOL(hAPP(hAPP(_u20344, _u20342), _u20342)) | ~hBOOL(hAPP(hAPP(c_member(_u20340), _u20342), c_Quotient_ORespects(_u20340, _u20344))) )).
% 12.54/12.75 cnf(fact_in__respects-2, axiom, ( ~hBOOL(hAPP(hAPP(_u20345, _u20343), _u20343)) | hBOOL(hAPP(hAPP(c_member(_u20341), _u20343), c_Quotient_ORespects(_u20341, _u20345))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_bex__reg__right ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_bex__reg__right-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u20349, _u20350) | hBOOL(hAPP(_u20351, skolem575(_u20352, _u20351, _u20350, _u20349))) | ~hBOOL(hAPP(_u20351, _u20347)) | hBOOL(hAPP(hAPP(c_member(_u20349), skolem576(_u20352, _u20351, _u20350, _u20349)), c_Quotient_ORespects(_u20349, _u20350))) )).
% 12.54/12.75 cnf(fact_bex__reg__right-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u20349, _u20350) | hBOOL(hAPP(_u20351, skolem575(_u20352, _u20351, _u20350, _u20349))) | ~hBOOL(hAPP(_u20351, _u20347)) | hBOOL(hAPP(_u20352, skolem576(_u20352, _u20351, _u20350, _u20349))) )).
% 12.54/12.75 cnf(fact_bex__reg__right-3, axiom, ( ~c_Equiv__Relations_Oequivp(_u20349, _u20350) | ~hBOOL(hAPP(_u20352, skolem575(_u20352, _u20351, _u20350, _u20349))) | ~hBOOL(hAPP(_u20351, _u20347)) | hBOOL(hAPP(hAPP(c_member(_u20349), skolem576(_u20352, _u20351, _u20350, _u20349)), c_Quotient_ORespects(_u20349, _u20350))) )).
% 12.54/12.75 cnf(fact_bex__reg__right-4, axiom, ( ~c_Equiv__Relations_Oequivp(_u20349, _u20350) | ~hBOOL(hAPP(_u20352, skolem575(_u20352, _u20351, _u20350, _u20349))) | ~hBOOL(hAPP(_u20351, _u20347)) | hBOOL(hAPP(_u20352, skolem576(_u20352, _u20351, _u20350, _u20349))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_babs__reg__eqv ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_babs__reg__eqv-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u20353, _u20354) | ( c_Quotient_OBabs(_u20353, _u20355, c_Quotient_ORespects(_u20353, _u20354), _u20356) = _u20356) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_Babs__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_Babs__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20357), _u20358), _u20359)) | ( hAPP(c_Quotient_OBabs(_u20357, _u20360, _u20359, _u20361), _u20358) = hAPP(_u20361, _u20358)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_wf__weak__decr__stable ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_wf__weak__decr__stable-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20365, _u20365)), hAPP(hAPP(c_Product__Type_OPair(_u20365, _u20365), hAPP(_u20366, hAPP(c_Nat_OSuc, skolem577(_u20367, _u20366, _u20365)))), hAPP(_u20366, skolem577(_u20367, _u20366, _u20365)))), c_Transitive__Closure_Ortrancl(_u20365, _u20367))) | ~c_Wellfounded_Owf(_u20365, c_Transitive__Closure_Otrancl(_u20365, _u20367)) | ( hAPP(_u20366, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem578(_u20367, _u20366, _u20365)), _u20363)) = hAPP(_u20366, skolem578(_u20367, _u20366, _u20365))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_INT__anti__mono ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_INT__anti__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20369, tc_HOL_Obool)), _u20370), _u20371)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20372, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20369, tc_fun(_u20372, tc_HOL_Obool)), _u20371), _u20373)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20369, tc_fun(_u20372, tc_HOL_Obool)), _u20371), _u20374))) | hBOOL(hAPP(hAPP(c_member(_u20369), skolem579(_u20374, _u20373, _u20372, _u20371, _u20370, _u20369)), _u20371)) )).
% 12.54/12.75 cnf(fact_INT__anti__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20369, tc_HOL_Obool)), _u20370), _u20371)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20372, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20369, tc_fun(_u20372, tc_HOL_Obool)), _u20371), _u20373)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20369, tc_fun(_u20372, tc_HOL_Obool)), _u20371), _u20374))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20372, tc_HOL_Obool)), hAPP(_u20373, skolem579(_u20374, _u20373, _u20372, _u20371, _u20370, _u20369))), hAPP(_u20374, skolem579(_u20374, _u20373, _u20372, _u20371, _u20370, _u20369)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_INT__greatest ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_INT__greatest-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20378, tc_HOL_Obool)), _u20379), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20376, tc_fun(_u20378, tc_HOL_Obool)), _u20377), _u20380))) | hBOOL(hAPP(hAPP(c_member(_u20376), skolem580(_u20380, _u20379, _u20378, _u20377, _u20376)), _u20377)) )).
% 12.54/12.75 cnf(fact_INT__greatest-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20378, tc_HOL_Obool)), _u20379), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20376, tc_fun(_u20378, tc_HOL_Obool)), _u20377), _u20380))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20378, tc_HOL_Obool)), _u20379), hAPP(_u20380, skolem580(_u20380, _u20379, _u20378, _u20377, _u20376)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_rtrancl__induct2 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_rtrancl__induct2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20385, _u20386), tc_prod(_u20385, _u20386))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20385, _u20386), tc_prod(_u20385, _u20386)), hAPP(hAPP(c_Product__Type_OPair(_u20385, _u20386), _u20387), _u20388)), hAPP(hAPP(c_Product__Type_OPair(_u20385, _u20386), _u20389), _u20390))), c_Transitive__Closure_Ortrancl(tc_prod(_u20385, _u20386), _u20391))) | ~hBOOL(hAPP(hAPP(_u20392, _u20387), _u20388)) | hBOOL(hAPP(hAPP(_u20392, _u20389), _u20390)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20385, _u20386), tc_prod(_u20385, _u20386))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20385, _u20386), tc_prod(_u20385, _u20386)), hAPP(hAPP(c_Product__Type_OPair(_u20385, _u20386), _u20387), _u20388)), hAPP(hAPP(c_Product__Type_OPair(_u20385, _u20386), skolem581(_u20392, _u20391, _u20390, _u20389, _u20388, _u20387, _u20386, _u20385)), skolem582(_u20392, _u20391, _u20390, _u20389, _u20388, _u20387, _u20386, _u20385)))), c_Transitive__Closure_Ortrancl(tc_prod(_u20385, _u20386), _u20391))) )).
% 12.54/12.75 cnf(fact_rtrancl__induct2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20385, _u20386), tc_prod(_u20385, _u20386))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20385, _u20386), tc_prod(_u20385, _u20386)), hAPP(hAPP(c_Product__Type_OPair(_u20385, _u20386), _u20387), _u20388)), hAPP(hAPP(c_Product__Type_OPair(_u20385, _u20386), _u20389), _u20390))), c_Transitive__Closure_Ortrancl(tc_prod(_u20385, _u20386), _u20391))) | ~hBOOL(hAPP(hAPP(_u20392, _u20387), _u20388)) | hBOOL(hAPP(hAPP(_u20392, _u20389), _u20390)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20385, _u20386), tc_prod(_u20385, _u20386))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20385, _u20386), tc_prod(_u20385, _u20386)), hAPP(hAPP(c_Product__Type_OPair(_u20385, _u20386), skolem581(_u20392, _u20391, _u20390, _u20389, _u20388, _u20387, _u20386, _u20385)), skolem582(_u20392, _u20391, _u20390, _u20389, _u20388, _u20387, _u20386, _u20385))), hAPP(hAPP(c_Product__Type_OPair(_u20385, _u20386), skolem583(_u20392, _u20391, _u20390, _u20389, _u20388, _u20387, _u20386, _u20385)), skolem584(_u20392, _u20391, _u20390, _u20389, _u20388, _u20387, _u20386, _u20385)))), _u20391)) )).
% 12.54/12.75 cnf(fact_rtrancl__induct2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20385, _u20386), tc_prod(_u20385, _u20386))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20385, _u20386), tc_prod(_u20385, _u20386)), hAPP(hAPP(c_Product__Type_OPair(_u20385, _u20386), _u20387), _u20388)), hAPP(hAPP(c_Product__Type_OPair(_u20385, _u20386), _u20389), _u20390))), c_Transitive__Closure_Ortrancl(tc_prod(_u20385, _u20386), _u20391))) | ~hBOOL(hAPP(hAPP(_u20392, _u20387), _u20388)) | hBOOL(hAPP(hAPP(_u20392, _u20389), _u20390)) | hBOOL(hAPP(hAPP(_u20392, skolem581(_u20392, _u20391, _u20390, _u20389, _u20388, _u20387, _u20386, _u20385)), skolem582(_u20392, _u20391, _u20390, _u20389, _u20388, _u20387, _u20386, _u20385))) )).
% 12.54/12.75 cnf(fact_rtrancl__induct2-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20385, _u20386), tc_prod(_u20385, _u20386))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20385, _u20386), tc_prod(_u20385, _u20386)), hAPP(hAPP(c_Product__Type_OPair(_u20385, _u20386), _u20387), _u20388)), hAPP(hAPP(c_Product__Type_OPair(_u20385, _u20386), _u20389), _u20390))), c_Transitive__Closure_Ortrancl(tc_prod(_u20385, _u20386), _u20391))) | ~hBOOL(hAPP(hAPP(_u20392, _u20387), _u20388)) | hBOOL(hAPP(hAPP(_u20392, _u20389), _u20390)) | ~hBOOL(hAPP(hAPP(_u20392, skolem583(_u20392, _u20391, _u20390, _u20389, _u20388, _u20387, _u20386, _u20385)), skolem584(_u20392, _u20391, _u20390, _u20389, _u20388, _u20387, _u20386, _u20385))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_converse__rtranclE2 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_converse__rtranclE2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20395, _u20396), tc_prod(_u20395, _u20396))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20395, _u20396), tc_prod(_u20395, _u20396)), hAPP(hAPP(c_Product__Type_OPair(_u20395, _u20396), _u20397), _u20398)), hAPP(hAPP(c_Product__Type_OPair(_u20395, _u20396), _u20399), _u20400))), c_Transitive__Closure_Ortrancl(tc_prod(_u20395, _u20396), _u20401))) | ( hAPP(hAPP(c_Product__Type_OPair(_u20395, _u20396), _u20397), _u20398) = hAPP(hAPP(c_Product__Type_OPair(_u20395, _u20396), _u20399), _u20400)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20395, _u20396), tc_prod(_u20395, _u20396))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20395, _u20396), tc_prod(_u20395, _u20396)), hAPP(hAPP(c_Product__Type_OPair(_u20395, _u20396), _u20397), _u20398)), hAPP(hAPP(c_Product__Type_OPair(_u20395, _u20396), skolem585(_u20401, _u20400, _u20399, _u20398, _u20397, _u20396, _u20395)), skolem586(_u20401, _u20400, _u20399, _u20398, _u20397, _u20396, _u20395)))), _u20401)) )).
% 12.54/12.75 cnf(fact_converse__rtranclE2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20395, _u20396), tc_prod(_u20395, _u20396))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20395, _u20396), tc_prod(_u20395, _u20396)), hAPP(hAPP(c_Product__Type_OPair(_u20395, _u20396), _u20397), _u20398)), hAPP(hAPP(c_Product__Type_OPair(_u20395, _u20396), _u20399), _u20400))), c_Transitive__Closure_Ortrancl(tc_prod(_u20395, _u20396), _u20401))) | ( hAPP(hAPP(c_Product__Type_OPair(_u20395, _u20396), _u20397), _u20398) = hAPP(hAPP(c_Product__Type_OPair(_u20395, _u20396), _u20399), _u20400)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20395, _u20396), tc_prod(_u20395, _u20396))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20395, _u20396), tc_prod(_u20395, _u20396)), hAPP(hAPP(c_Product__Type_OPair(_u20395, _u20396), skolem585(_u20401, _u20400, _u20399, _u20398, _u20397, _u20396, _u20395)), skolem586(_u20401, _u20400, _u20399, _u20398, _u20397, _u20396, _u20395))), hAPP(hAPP(c_Product__Type_OPair(_u20395, _u20396), _u20399), _u20400))), c_Transitive__Closure_Ortrancl(tc_prod(_u20395, _u20396), _u20401))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_converse__rtrancl__induct2 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_converse__rtrancl__induct2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20406, _u20407), tc_prod(_u20406, _u20407))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20406, _u20407), tc_prod(_u20406, _u20407)), hAPP(hAPP(c_Product__Type_OPair(_u20406, _u20407), _u20408), _u20409)), hAPP(hAPP(c_Product__Type_OPair(_u20406, _u20407), _u20410), _u20411))), c_Transitive__Closure_Ortrancl(tc_prod(_u20406, _u20407), _u20412))) | ~hBOOL(hAPP(hAPP(_u20413, _u20410), _u20411)) | hBOOL(hAPP(hAPP(_u20413, _u20408), _u20409)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20406, _u20407), tc_prod(_u20406, _u20407))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20406, _u20407), tc_prod(_u20406, _u20407)), hAPP(hAPP(c_Product__Type_OPair(_u20406, _u20407), skolem587(_u20413, _u20412, _u20411, _u20410, _u20409, _u20408, _u20407, _u20406)), skolem588(_u20413, _u20412, _u20411, _u20410, _u20409, _u20408, _u20407, _u20406))), hAPP(hAPP(c_Product__Type_OPair(_u20406, _u20407), skolem589(_u20413, _u20412, _u20411, _u20410, _u20409, _u20408, _u20407, _u20406)), skolem590(_u20413, _u20412, _u20411, _u20410, _u20409, _u20408, _u20407, _u20406)))), _u20412)) )).
% 12.54/12.75 cnf(fact_converse__rtrancl__induct2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20406, _u20407), tc_prod(_u20406, _u20407))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20406, _u20407), tc_prod(_u20406, _u20407)), hAPP(hAPP(c_Product__Type_OPair(_u20406, _u20407), _u20408), _u20409)), hAPP(hAPP(c_Product__Type_OPair(_u20406, _u20407), _u20410), _u20411))), c_Transitive__Closure_Ortrancl(tc_prod(_u20406, _u20407), _u20412))) | ~hBOOL(hAPP(hAPP(_u20413, _u20410), _u20411)) | hBOOL(hAPP(hAPP(_u20413, _u20408), _u20409)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20406, _u20407), tc_prod(_u20406, _u20407))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20406, _u20407), tc_prod(_u20406, _u20407)), hAPP(hAPP(c_Product__Type_OPair(_u20406, _u20407), skolem589(_u20413, _u20412, _u20411, _u20410, _u20409, _u20408, _u20407, _u20406)), skolem590(_u20413, _u20412, _u20411, _u20410, _u20409, _u20408, _u20407, _u20406))), hAPP(hAPP(c_Product__Type_OPair(_u20406, _u20407), _u20410), _u20411))), c_Transitive__Closure_Ortrancl(tc_prod(_u20406, _u20407), _u20412))) )).
% 12.54/12.75 cnf(fact_converse__rtrancl__induct2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20406, _u20407), tc_prod(_u20406, _u20407))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20406, _u20407), tc_prod(_u20406, _u20407)), hAPP(hAPP(c_Product__Type_OPair(_u20406, _u20407), _u20408), _u20409)), hAPP(hAPP(c_Product__Type_OPair(_u20406, _u20407), _u20410), _u20411))), c_Transitive__Closure_Ortrancl(tc_prod(_u20406, _u20407), _u20412))) | ~hBOOL(hAPP(hAPP(_u20413, _u20410), _u20411)) | hBOOL(hAPP(hAPP(_u20413, _u20408), _u20409)) | hBOOL(hAPP(hAPP(_u20413, skolem589(_u20413, _u20412, _u20411, _u20410, _u20409, _u20408, _u20407, _u20406)), skolem590(_u20413, _u20412, _u20411, _u20410, _u20409, _u20408, _u20407, _u20406))) )).
% 12.54/12.75 cnf(fact_converse__rtrancl__induct2-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20406, _u20407), tc_prod(_u20406, _u20407))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20406, _u20407), tc_prod(_u20406, _u20407)), hAPP(hAPP(c_Product__Type_OPair(_u20406, _u20407), _u20408), _u20409)), hAPP(hAPP(c_Product__Type_OPair(_u20406, _u20407), _u20410), _u20411))), c_Transitive__Closure_Ortrancl(tc_prod(_u20406, _u20407), _u20412))) | ~hBOOL(hAPP(hAPP(_u20413, _u20410), _u20411)) | hBOOL(hAPP(hAPP(_u20413, _u20408), _u20409)) | ~hBOOL(hAPP(hAPP(_u20413, skolem587(_u20413, _u20412, _u20411, _u20410, _u20409, _u20408, _u20407, _u20406)), skolem588(_u20413, _u20412, _u20411, _u20410, _u20409, _u20408, _u20407, _u20406))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_congruentI ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_congruentI-1, axiom, ( c_Equiv__Relations_Ocongruent(_u20416, _u20419, _u20417, _u20418) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20416, _u20416)), hAPP(hAPP(c_Product__Type_OPair(_u20416, _u20416), skolem591(_u20419, _u20418, _u20417, _u20416)), skolem592(_u20419, _u20418, _u20417, _u20416))), _u20417)) )).
% 12.54/12.75 cnf(fact_congruentI-2, axiom, ( c_Equiv__Relations_Ocongruent(_u20416, _u20419, _u20417, _u20418) | ( hAPP(_u20418, skolem591(_u20419, _u20418, _u20417, _u20416)) != hAPP(_u20418, skolem592(_u20419, _u20418, _u20417, _u20416))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_congruent2I_H ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_congruent2I_H-1, axiom, ( c_Equiv__Relations_Ocongruent2(_u20424, _u20426, _u20429, _u20425, _u20427, _u20428) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20424, _u20424)), hAPP(hAPP(c_Product__Type_OPair(_u20424, _u20424), skolem593(_u20429, _u20428, _u20427, _u20426, _u20425, _u20424)), skolem594(_u20429, _u20428, _u20427, _u20426, _u20425, _u20424))), _u20425)) )).
% 12.54/12.75 cnf(fact_congruent2I_H-2, axiom, ( c_Equiv__Relations_Ocongruent2(_u20424, _u20426, _u20429, _u20425, _u20427, _u20428) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20426, _u20426)), hAPP(hAPP(c_Product__Type_OPair(_u20426, _u20426), skolem595(_u20429, _u20428, _u20427, _u20426, _u20425, _u20424)), skolem596(_u20429, _u20428, _u20427, _u20426, _u20425, _u20424))), _u20427)) )).
% 12.54/12.75 cnf(fact_congruent2I_H-3, axiom, ( c_Equiv__Relations_Ocongruent2(_u20424, _u20426, _u20429, _u20425, _u20427, _u20428) | ( hAPP(hAPP(_u20428, skolem593(_u20429, _u20428, _u20427, _u20426, _u20425, _u20424)), skolem595(_u20429, _u20428, _u20427, _u20426, _u20425, _u20424)) != hAPP(hAPP(_u20428, skolem594(_u20429, _u20428, _u20427, _u20426, _u20425, _u20424)), skolem596(_u20429, _u20428, _u20427, _u20426, _u20425, _u20424))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact__03 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact__03-1, axiom, ( ( c_Lazy__Sequence_Oflat(_u20430, c_Lazy__Sequence_Olazy__sequence_OInsert(tc_Lazy__Sequence_Olazy__sequence(_u20430), _u20431, _u20432)) = c_Lazy__Sequence_Oappend(_u20430, _u20431, c_Lazy__Sequence_Oflat(_u20430, _u20432))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_all__interval__nat__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_all__interval__nat__def-1, axiom, ( ~c_List_Oall__interval__nat(_u20438, _u20440, _u20442) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20433), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20440), _u20442))) | hBOOL(hAPP(_u20438, _u20433)) )).
% 12.54/12.75 cnf(fact_all__interval__nat__def-2, axiom, ( c_List_Oall__interval__nat(_u20439, _u20441, _u20443) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem597(_u20443, _u20441, _u20439)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20441), _u20443))) )).
% 12.54/12.75 cnf(fact_all__interval__nat__def-3, axiom, ( c_List_Oall__interval__nat(_u20439, _u20441, _u20443) | ~hBOOL(hAPP(_u20439, skolem597(_u20443, _u20441, _u20439))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact__04 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact__04-1, axiom, ( ( c_Lazy__Sequence_Oflat(_u20444, c_Lazy__Sequence_Olazy__sequence_OEmpty(tc_Lazy__Sequence_Olazy__sequence(_u20444))) = c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20444)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_list__all__iff__all__interval__nat ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_list__all__iff__all__interval__nat-1, axiom, ( ~c_List_Olist__all(tc_Nat_Onat, _u20448, c_List_Oupt(_u20450, _u20452)) | c_List_Oall__interval__nat(_u20448, _u20450, _u20452) )).
% 12.54/12.75 cnf(fact_list__all__iff__all__interval__nat-2, axiom, ( ~c_List_Oall__interval__nat(_u20449, _u20451, _u20453) | c_List_Olist__all(tc_Nat_Onat, _u20449, c_List_Oupt(_u20451, _u20453)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_list__ex__iff__not__all__inverval__nat ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_list__ex__iff__not__all__inverval__nat-1, axiom, ( ~c_List_Olist__ex(tc_Nat_Onat, _u20457, c_List_Oupt(_u20459, _u20461)) | ~c_List_Oall__interval__nat(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat, c_fNot), _u20457), _u20459, _u20461) )).
% 12.54/12.75 cnf(fact_list__ex__iff__not__all__inverval__nat-2, axiom, ( c_List_Oall__interval__nat(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat, c_fNot), _u20458), _u20460, _u20462) | c_List_Olist__ex(tc_Nat_Onat, _u20458, c_List_Oupt(_u20460, _u20462)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact__05 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact__05-1, axiom, ( ( hAPP(c_Lazy__Sequence_Obind(_u20463, _u20464, _u20465), _u20466) = c_Lazy__Sequence_Oflat(_u20464, c_Lazy__Sequence_Omap(_u20463, tc_Lazy__Sequence_Olazy__sequence(_u20464), _u20466, _u20465))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_folding__image_Ocong ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_folding__image_Ocong-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u20468, _u20469, _u20470, _u20471, _u20472) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20469), _u20473)) | ( hAPP(hAPP(_u20472, _u20474), _u20473) = hAPP(hAPP(_u20472, _u20475), _u20473)) | hBOOL(hAPP(hAPP(c_member(_u20469), skolem598(_u20475, _u20474, _u20473, _u20472, _u20471, _u20470, _u20469)), _u20473)) )).
% 12.54/12.75 cnf(fact_folding__image_Ocong-2, axiom, ( ~c_Finite__Set_Ofolding__image(_u20468, _u20469, _u20470, _u20471, _u20472) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20469), _u20473)) | ( hAPP(hAPP(_u20472, _u20474), _u20473) = hAPP(hAPP(_u20472, _u20475), _u20473)) | ( hAPP(_u20474, skolem598(_u20475, _u20474, _u20473, _u20472, _u20471, _u20470, _u20469)) != hAPP(_u20475, skolem598(_u20475, _u20474, _u20473, _u20472, _u20471, _u20470, _u20469))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact__06 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact__06-1, axiom, ( ( c_Lazy__Sequence_Omap(_u20476, _u20477, _u20478, c_Lazy__Sequence_Olazy__sequence_OInsert(_u20476, _u20479, _u20480)) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u20477, hAPP(_u20478, _u20479), c_Lazy__Sequence_Omap(_u20476, _u20477, _u20478, _u20480))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact__07 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact__07-1, axiom, ( ( c_Lazy__Sequence_Omap(_u20481, _u20482, _u20483, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20481)) = c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20482)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_New__DSequence_Opos__map__def ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_New__DSequence_Opos__map__def-1, axiom, ( ( c_New__DSequence_Opos__map(_u20484, _u20485, _u20486, _u20487, _u20488) = c_Lazy__Sequence_Omap(_u20484, _u20485, _u20486, hAPP(_u20487, _u20488))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_power__dvd__imp__le ( axiom ) converted to clauses:
% 12.54/12.75 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), _u20489), _u20490)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u20489), _u20491))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u20489)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20490), _u20491)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd_Oorder__refl ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd_Oorder__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20492), _u20492)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd__0__right ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd__0__right-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20493) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20493), _u20494), c_Groups_Ozero__class_Ozero(_u20493))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd__1__left ( axiom ) converted to clauses:
% 12.54/12.75 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))), _u20495)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd__imp__le ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd__imp__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20496), _u20497)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20497)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20496), _u20497)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_nat__mult__dvd__cancel1 ( axiom ) converted to clauses:
% 12.54/12.75 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)), _u20498)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20498), _u20499)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20498), _u20500))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20499), _u20500)) )).
% 12.54/12.75 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)), _u20498)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20499), _u20500)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20498), _u20499)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20498), _u20500))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd__mult__cancel ( axiom ) converted to clauses:
% 12.54/12.75 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), _u20501), _u20502)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20501), _u20503))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20501)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20502), _u20503)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_setprod__dvd__setprod__subset ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_setprod__dvd__setprod__subset-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20504) | ~class_Rings_Odvd(_u20504) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20505), _u20506)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20505, tc_HOL_Obool)), _u20507), _u20506)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20504), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20505, _u20504), _u20508), _u20507)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20505, _u20504), _u20508), _u20506))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_inf__period_I4_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_inf__period_I4_J-1, axiom, ( ~class_Rings_Ocomm__ring(_u20511) | ~class_Rings_Odvd(_u20511) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20511), _u20512), _u20513)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20511), _u20512), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20511), _u20517), _u20514))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20511), _u20512), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20511), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20511), _u20517), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20511), _u20515), _u20513))), _u20514))) )).
% 12.54/12.75 cnf(fact_inf__period_I4_J-2, axiom, ( ~class_Rings_Ocomm__ring(_u20511) | ~class_Rings_Odvd(_u20511) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20511), _u20512), _u20513)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20511), _u20512), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20511), _u20518), _u20514))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20511), _u20512), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20511), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20511), _u20518), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20511), _u20516), _u20513))), _u20514))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_inf__period_I3_J ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_inf__period_I3_J-1, axiom, ( ~class_Rings_Ocomm__ring(_u20521) | ~class_Rings_Odvd(_u20521) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20521), _u20522), _u20523)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20521), _u20522), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20521), _u20527), _u20524))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20521), _u20522), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20521), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20521), _u20527), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20521), _u20525), _u20523))), _u20524))) )).
% 12.54/12.75 cnf(fact_inf__period_I3_J-2, axiom, ( ~class_Rings_Ocomm__ring(_u20521) | ~class_Rings_Odvd(_u20521) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20521), _u20522), _u20523)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20521), _u20522), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20521), _u20528), _u20524))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20521), _u20522), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20521), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20521), _u20528), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20521), _u20526), _u20523))), _u20524))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd__div__eq__mult ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd__div__eq__mult-1, axiom, ( ~class_Divides_Osemiring__div(_u20529) | ( _u20530 = c_Groups_Ozero__class_Ozero(_u20529)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20529), _u20530), _u20531)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20529), _u20531), _u20530) != _u20532) | ( _u20531 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20529), _u20532), _u20530)) )).
% 12.54/12.75 cnf(fact_dvd__div__eq__mult-2, axiom, ( ~class_Divides_Osemiring__div(_u20529) | ( _u20530 = c_Groups_Ozero__class_Ozero(_u20529)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20529), _u20530), _u20531)) | ( _u20531 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20529), _u20532), _u20530)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20529), _u20531), _u20530) = _u20532) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd__div__div__eq__mult ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd__div__div__eq__mult-1, axiom, ( ~class_Divides_Osemiring__div(_u20533) | ( _u20534 = c_Groups_Ozero__class_Ozero(_u20533)) | ( _u20535 = c_Groups_Ozero__class_Ozero(_u20533)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20533), _u20534), _u20536)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20533), _u20535), _u20537)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20533), _u20536), _u20534) != hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20533), _u20537), _u20535)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20533), _u20536), _u20535) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20533), _u20534), _u20537)) )).
% 12.54/12.75 cnf(fact_dvd__div__div__eq__mult-2, axiom, ( ~class_Divides_Osemiring__div(_u20533) | ( _u20534 = c_Groups_Ozero__class_Ozero(_u20533)) | ( _u20535 = c_Groups_Ozero__class_Ozero(_u20533)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20533), _u20534), _u20536)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20533), _u20535), _u20537)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20533), _u20536), _u20535) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20533), _u20534), _u20537)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20533), _u20536), _u20534) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20533), _u20537), _u20535)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_nat__mult__dvd__cancel__disj ( axiom ) converted to clauses:
% 12.54/12.75 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), _u20541), _u20543)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20541), _u20545))) | ( _u20541 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20543), _u20545)) )).
% 12.54/12.75 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), _u20542), _u20544)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20542), _u20546))) | ( _u20542 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.75 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), _u20542), _u20544)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20542), _u20546))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20544), _u20546)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_div__mult__div__if__dvd ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_div__mult__div__if__dvd-1, axiom, ( ~class_Divides_Osemiring__div(_u20547) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20547), _u20548), _u20549)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20547), _u20550), _u20551)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20547), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20547), _u20549), _u20548)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20547), _u20551), _u20550)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20547), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20547), _u20549), _u20551)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20547), _u20548), _u20550))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd__div__mult ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd__div__mult-1, axiom, ( ~class_Divides_Osemiring__div(_u20552) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20552), _u20553), _u20554)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20552), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20552), _u20554), _u20553)), _u20555) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20552), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20552), _u20554), _u20555)), _u20553)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd__div__mult__self ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd__div__mult__self-1, axiom, ( ~class_Divides_Osemiring__div(_u20556) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20556), _u20557), _u20558)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20556), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20556), _u20558), _u20557)), _u20557) = _u20558) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_div__mult__swap ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_div__mult__swap-1, axiom, ( ~class_Divides_Osemiring__div(_u20559) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20559), _u20560), _u20561)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20559), _u20562), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20559), _u20561), _u20560)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20559), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20559), _u20562), _u20561)), _u20560)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd__mult__div__cancel ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd__mult__div__cancel-1, axiom, ( ~class_Divides_Osemiring__div(_u20563) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20563), _u20564), _u20565)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20563), _u20564), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20563), _u20565), _u20564)) = _u20565) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd__mult__right ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd__mult__right-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20566) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20566), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20566), _u20567), _u20568)), _u20569)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20566), _u20568), _u20569)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd__mult__left ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd__mult__left-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20570) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20570), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20570), _u20571), _u20572)), _u20573)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20570), _u20571), _u20573)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvdI ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvdI-1, axiom, ( ~class_Rings_Odvd(_u20574) | ( _u20575 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20574), _u20576), _u20577)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20574), _u20576), _u20575)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_mult__dvd__mono ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_mult__dvd__mono-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20578) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20578), _u20579), _u20580)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20578), _u20581), _u20582)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20578), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20578), _u20579), _u20581)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20578), _u20580), _u20582))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd__mult ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd__mult-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20583) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20583), _u20584), _u20585)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20583), _u20584), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20583), _u20586), _u20585))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd__mult2 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd__mult2-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20587) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20587), _u20588), _u20589)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20587), _u20588), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20587), _u20589), _u20590))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd__triv__right ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd__triv__right-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20591) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20591), _u20592), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20591), _u20593), _u20592))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd__triv__left ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd__triv__left-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20594) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20594), _u20595), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20594), _u20595), _u20596))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd__mult__cancel__left ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd__mult__cancel__left-1, axiom, ( ~class_Rings_Oidom(_u20597) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20597), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20597), _u20598), _u20599)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20597), _u20598), _u20600))) | ( _u20598 = c_Groups_Ozero__class_Ozero(_u20597)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20597), _u20599), _u20600)) )).
% 12.54/12.75 cnf(fact_dvd__mult__cancel__left-2, axiom, ( ~class_Rings_Oidom(_u20597) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20597), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20597), _u20598), _u20599)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20597), _u20598), _u20600))) | ( _u20598 != c_Groups_Ozero__class_Ozero(_u20597)) )).
% 12.54/12.75 cnf(fact_dvd__mult__cancel__left-3, axiom, ( ~class_Rings_Oidom(_u20597) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20597), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20597), _u20598), _u20599)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20597), _u20598), _u20600))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20597), _u20599), _u20600)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd__mult__cancel__right ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd__mult__cancel__right-1, axiom, ( ~class_Rings_Oidom(_u20601) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20601), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20601), _u20602), _u20603)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20601), _u20604), _u20603))) | ( _u20603 = c_Groups_Ozero__class_Ozero(_u20601)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20601), _u20602), _u20604)) )).
% 12.54/12.75 cnf(fact_dvd__mult__cancel__right-2, axiom, ( ~class_Rings_Oidom(_u20601) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20601), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20601), _u20602), _u20603)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20601), _u20604), _u20603))) | ( _u20603 != c_Groups_Ozero__class_Ozero(_u20601)) )).
% 12.54/12.75 cnf(fact_dvd__mult__cancel__right-3, axiom, ( ~class_Rings_Oidom(_u20601) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20601), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20601), _u20602), _u20603)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20601), _u20604), _u20603))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20601), _u20602), _u20604)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_unity__coeff__ex ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_unity__coeff__ex-1, axiom, ( ~class_Rings_Odvd(_u20609) | ~class_Rings_Osemiring__0(_u20609) | ~hBOOL(hAPP(_u20610, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20609), _u20611), _u20605))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20609), _u20611), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20609), skolem599(_u20611, _u20610, _u20609)), c_Groups_Ozero__class_Ozero(_u20609)))) )).
% 12.54/12.75 cnf(fact_unity__coeff__ex-2, axiom, ( ~class_Rings_Odvd(_u20609) | ~class_Rings_Osemiring__0(_u20609) | ~hBOOL(hAPP(_u20610, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20609), _u20611), _u20605))) | hBOOL(hAPP(_u20610, skolem599(_u20611, _u20610, _u20609))) )).
% 12.54/12.75 cnf(fact_unity__coeff__ex-3, axiom, ( ~class_Rings_Odvd(_u20609) | ~class_Rings_Osemiring__0(_u20609) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20609), _u20611), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20609), _u20607), c_Groups_Ozero__class_Ozero(_u20609)))) | ~hBOOL(hAPP(_u20610, _u20607)) | hBOOL(hAPP(_u20610, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20609), _u20611), skolem600(_u20611, _u20610, _u20609)))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_le__imp__power__dvd ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_le__imp__power__dvd-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20612) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20613), _u20614)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20612), hAPP(hAPP(c_Power_Opower__class_Opower(_u20612), _u20615), _u20613)), hAPP(hAPP(c_Power_Opower__class_Opower(_u20612), _u20615), _u20614))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd__power__le ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd__power__le-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20616) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20616), _u20617), _u20618)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20619), _u20620)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20616), hAPP(hAPP(c_Power_Opower__class_Opower(_u20616), _u20617), _u20619)), hAPP(hAPP(c_Power_Opower__class_Opower(_u20616), _u20618), _u20620))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_power__le__dvd ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_power__le__dvd-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20621) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20621), hAPP(hAPP(c_Power_Opower__class_Opower(_u20621), _u20622), _u20623)), _u20624)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20625), _u20623)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20621), hAPP(hAPP(c_Power_Opower__class_Opower(_u20621), _u20622), _u20625)), _u20624)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd_OatLeastatMost__subset__iff ( axiom ) converted to clauses:
% 12.54/12.75 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), _u20630, _u20632)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20634, _u20636))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20630), _u20632)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20634), _u20630)) )).
% 12.54/12.75 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), _u20630, _u20632)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20634, _u20636))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20630), _u20632)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20632), _u20636)) )).
% 12.54/12.75 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), _u20631, _u20633)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20635, _u20637))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20631), _u20633)) )).
% 12.54/12.75 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), _u20631, _u20633)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20635, _u20637))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20635), _u20631)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20633), _u20637)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd__diffD1 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd__diffD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20638), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20639), _u20640))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20638), _u20639)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20640), _u20639)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20638), _u20640)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd__diffD ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd__diffD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20641), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20642), _u20643))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20641), _u20643)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20643), _u20642)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20641), _u20642)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd_OlessThan__iff ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd_OlessThan__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20646), 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)))), _u20648))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20646), _u20648)) )).
% 12.54/12.75 cnf(fact_dvd_OlessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20646), 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)))), _u20648))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20648), _u20646)) )).
% 12.54/12.75 cnf(fact_dvd_OlessThan__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20647), _u20649)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20649), _u20647)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20647), 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)))), _u20649))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd_OgreaterThan__iff ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd_OgreaterThan__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20652), 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)))), _u20654))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20654), _u20652)) )).
% 12.54/12.75 cnf(fact_dvd_OgreaterThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20652), 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)))), _u20654))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20652), _u20654)) )).
% 12.54/12.75 cnf(fact_dvd_OgreaterThan__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20655), _u20653)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20653), _u20655)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20653), 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)))), _u20655))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd_OatLeast__iff ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd_OatLeast__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20658), c_SetInterval_Oord_OatLeast(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20660))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20660), _u20658)) )).
% 12.54/12.75 cnf(fact_dvd_OatLeast__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20661), _u20659)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20659), c_SetInterval_Oord_OatLeast(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20661))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd_OatMost__iff ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd_OatMost__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20664), c_SetInterval_Oord_OatMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20666))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20664), _u20666)) )).
% 12.54/12.75 cnf(fact_dvd_OatMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20665), _u20667)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20665), c_SetInterval_Oord_OatMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20667))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_div__power ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_div__power-1, axiom, ( ~class_Divides_Osemiring__div(_u20668) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20668), _u20669), _u20670)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u20668), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20668), _u20670), _u20669)), _u20671) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20668), hAPP(hAPP(c_Power_Opower__class_Opower(_u20668), _u20670), _u20671)), hAPP(hAPP(c_Power_Opower__class_Opower(_u20668), _u20669), _u20671))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd__imp__mod__0 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd__imp__mod__0-1, axiom, ( ~class_Divides_Osemiring__div(_u20672) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20672), _u20673), _u20674)) | ( c_Divides_Odiv__class_Omod(_u20672, _u20674, _u20673) = c_Groups_Ozero__class_Ozero(_u20672)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd__eq__mod__eq__0 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd__eq__mod__eq__0-1, axiom, ( ~class_Divides_Osemiring__div(_u20675) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20675), _u20676), _u20677)) | ( c_Divides_Odiv__class_Omod(_u20675, _u20677, _u20676) = c_Groups_Ozero__class_Ozero(_u20675)) )).
% 12.54/12.75 cnf(fact_dvd__eq__mod__eq__0-2, axiom, ( ~class_Divides_Osemiring__div(_u20675) | ( c_Divides_Odiv__class_Omod(_u20675, _u20677, _u20676) != c_Groups_Ozero__class_Ozero(_u20675)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20675), _u20676), _u20677)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd__mod__iff ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd__mod__iff-1, axiom, ( ~class_Divides_Osemiring__div(_u20678) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20678), _u20679), _u20680)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20678), _u20679), c_Divides_Odiv__class_Omod(_u20678, _u20681, _u20680))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20678), _u20679), _u20681)) )).
% 12.54/12.75 cnf(fact_dvd__mod__iff-2, axiom, ( ~class_Divides_Osemiring__div(_u20678) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20678), _u20679), _u20680)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20678), _u20679), _u20681)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20678), _u20679), c_Divides_Odiv__class_Omod(_u20678, _u20681, _u20680))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_mod__mod__cancel ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_mod__mod__cancel-1, axiom, ( ~class_Divides_Osemiring__div(_u20682) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20682), _u20683), _u20684)) | ( c_Divides_Odiv__class_Omod(_u20682, c_Divides_Odiv__class_Omod(_u20682, _u20685, _u20684), _u20683) = c_Divides_Odiv__class_Omod(_u20682, _u20685, _u20683)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd__mod ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd__mod-1, axiom, ( ~class_Divides_Osemiring__div(_u20686) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20686), _u20687), _u20688)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20686), _u20687), _u20689)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20686), _u20687), c_Divides_Odiv__class_Omod(_u20686, _u20688, _u20689))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd__mod__imp__dvd ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd__mod__imp__dvd-1, axiom, ( ~class_Divides_Osemiring__div(_u20690) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20690), _u20691), c_Divides_Odiv__class_Omod(_u20690, _u20692, _u20693))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20690), _u20691), _u20693)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20690), _u20691), _u20692)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_one__dvd ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_one__dvd-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20694) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20694), c_Groups_Oone__class_Oone(_u20694)), _u20695)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd__0__left ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd__0__left-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20696) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20696), c_Groups_Ozero__class_Ozero(_u20696)), _u20697)) | ( _u20697 = c_Groups_Ozero__class_Ozero(_u20696)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_div__dvd__div ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_div__dvd__div-1, axiom, ( ~class_Divides_Osemiring__div(_u20698) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20698), _u20699), _u20700)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20698), _u20699), _u20701)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20698), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20698), _u20700), _u20699)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20698), _u20701), _u20699))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20698), _u20700), _u20701)) )).
% 12.54/12.75 cnf(fact_div__dvd__div-2, axiom, ( ~class_Divides_Osemiring__div(_u20698) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20698), _u20699), _u20700)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20698), _u20699), _u20701)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20698), _u20700), _u20701)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20698), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20698), _u20700), _u20699)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20698), _u20701), _u20699))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_nat__dvd__1__iff__1 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_nat__dvd__1__iff__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20703), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( _u20703 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.54/12.75 cnf(fact_nat__dvd__1__iff__1-2, axiom, ( ( _u20704 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20704), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd__power__same ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd__power__same-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20705) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20705), _u20706), _u20707)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20705), hAPP(hAPP(c_Power_Opower__class_Opower(_u20705), _u20706), _u20708)), hAPP(hAPP(c_Power_Opower__class_Opower(_u20705), _u20707), _u20708))) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd__refl ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd__refl-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20709) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20709), _u20710), _u20710)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd__trans ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd__trans-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20711) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20711), _u20712), _u20713)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20711), _u20713), _u20714)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20711), _u20712), _u20714)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd_Oeq__iff ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd_Oeq__iff-1, axiom, ( ( _u20717 != _u20719) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20717), _u20719)) )).
% 12.54/12.75 cnf(fact_dvd_Oeq__iff-2, axiom, ( ( _u20717 != _u20719) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20719), _u20717)) )).
% 12.54/12.75 cnf(fact_dvd_Oeq__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20718), _u20720)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20720), _u20718)) | ( _u20718 = _u20720) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd_Ole__less ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd_Ole__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20723), _u20725)) | ( _u20723 = _u20725) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20725), _u20723)) )).
% 12.54/12.75 cnf(fact_dvd_Ole__less-2, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20724), _u20726)) | ( _u20724 != _u20726) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd_Oless__le ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd_Oless__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20729), _u20731)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20731), _u20729)) | ( _u20729 != _u20731) )).
% 12.54/12.75 cnf(fact_dvd_Oless__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20730), _u20732)) | ( _u20730 = _u20732) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20732), _u20730)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd_Oneq__le__trans ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd_Oneq__le__trans-1, axiom, ( ( _u20733 = _u20734) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20733), _u20734)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20734), _u20733)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd_Oeq__refl ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd_Oeq__refl-1, axiom, ( ( _u20735 != _u20736) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20735), _u20736)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd_Oantisym__conv ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd_Oantisym__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20737), _u20738)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20738), _u20737)) | ( _u20738 = _u20737) )).
% 12.54/12.75 cnf(fact_dvd_Oantisym__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20737), _u20738)) | ( _u20738 != _u20737) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20738), _u20737)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd_Ole__imp__less__or__eq ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd_Ole__imp__less__or__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20739), _u20740)) | ( _u20739 = _u20740) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20740), _u20739)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd_Ole__neq__trans ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd_Ole__neq__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20741), _u20742)) | ( _u20741 = _u20742) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20742), _u20741)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd_Oord__eq__le__trans ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd_Oord__eq__le__trans-1, axiom, ( ( _u20743 != _u20744) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20744), _u20745)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20743), _u20745)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd_Oord__le__eq__trans ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd_Oord__le__eq__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20746), _u20747)) | ( _u20747 != _u20748) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20746), _u20748)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd__antisym ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd__antisym-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20749), _u20750)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20750), _u20749)) | ( _u20749 = _u20750) )).
% 12.54/12.75
% 12.54/12.75 % Formula: fact_dvd_Oantisym ( axiom ) converted to clauses:
% 12.54/12.75 cnf(fact_dvd_Oantisym-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20751), _u20752)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20752), _u20751)) | ( _u20751 = _u20752) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_HOL__Obool__Lattices_Obounded__lattice-1, axiom, ( class_Lattices_Obounded__lattice(tc_HOL_Obool) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_fun__Lattices_Obounded__lattice ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_fun__Lattices_Obounded__lattice-1, axiom, ( ~class_Lattices_Obounded__lattice(_u20753) | class_Lattices_Obounded__lattice(tc_fun(_u20754, _u20753)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_fun__Complete__Lattice_Ocomplete__lattice ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_fun__Complete__Lattice_Ocomplete__lattice-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20755) | class_Complete__Lattice_Ocomplete__lattice(tc_fun(_u20756, _u20755)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_fun__Lattices_Obounded__lattice__top ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_fun__Lattices_Obounded__lattice__top-1, axiom, ( ~class_Lattices_Obounded__lattice(_u20757) | class_Lattices_Obounded__lattice__top(tc_fun(_u20758, _u20757)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_fun__Lattices_Obounded__lattice__bot ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_fun__Lattices_Obounded__lattice__bot-1, axiom, ( ~class_Lattices_Obounded__lattice(_u20759) | class_Lattices_Obounded__lattice__bot(tc_fun(_u20760, _u20759)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_fun__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_fun__Lattices_Osemilattice__sup-1, axiom, ( ~class_Lattices_Olattice(_u20761) | class_Lattices_Osemilattice__sup(tc_fun(_u20762, _u20761)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_fun__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_fun__Lattices_Osemilattice__inf-1, axiom, ( ~class_Lattices_Olattice(_u20763) | class_Lattices_Osemilattice__inf(tc_fun(_u20764, _u20763)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_fun__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_fun__Lattices_Odistrib__lattice-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u20765) | class_Lattices_Odistrib__lattice(tc_fun(_u20766, _u20765)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_fun__Lattices_Oboolean__algebra ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_fun__Lattices_Oboolean__algebra-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u20767) | class_Lattices_Oboolean__algebra(tc_fun(_u20768, _u20767)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_fun__Orderings_Opreorder ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_fun__Orderings_Opreorder-1, axiom, ( ~class_Orderings_Opreorder(_u20769) | class_Orderings_Opreorder(tc_fun(_u20770, _u20769)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_fun__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_fun__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20771) | ~class_Finite__Set_Ofinite(_u20772) | class_Finite__Set_Ofinite(tc_fun(_u20771, _u20772)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_fun__Lattices_Olattice ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_fun__Lattices_Olattice-1, axiom, ( ~class_Lattices_Olattice(_u20773) | class_Lattices_Olattice(tc_fun(_u20774, _u20773)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_fun__Orderings_Oorder ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_fun__Orderings_Oorder-1, axiom, ( ~class_Orderings_Oorder(_u20775) | class_Orderings_Oorder(tc_fun(_u20776, _u20775)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_fun__Orderings_Otop ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_fun__Orderings_Otop-1, axiom, ( ~class_Orderings_Otop(_u20777) | class_Orderings_Otop(tc_fun(_u20778, _u20777)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_fun__Orderings_Oord ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_fun__Orderings_Oord-1, axiom, ( ~class_Orderings_Oord(_u20779) | class_Orderings_Oord(tc_fun(_u20780, _u20779)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_fun__Orderings_Obot ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_fun__Orderings_Obot-1, axiom, ( ~class_Orderings_Obot(_u20781) | class_Orderings_Obot(tc_fun(_u20782, _u20781)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_fun__Groups_Ouminus ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_fun__Groups_Ouminus-1, axiom, ( ~class_Groups_Ouminus(_u20783) | class_Groups_Ouminus(tc_fun(_u20784, _u20783)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_fun__Groups_Ominus ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_fun__Groups_Ominus-1, axiom, ( ~class_Groups_Ominus(_u20785) | class_Groups_Ominus(tc_fun(_u20786, _u20785)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_fun__HOL_Oequal ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_fun__HOL_Oequal-1, axiom, ( ~class_Enum_Oenum(_u20787) | ~class_HOL_Oequal(_u20788) | class_HOL_Oequal(tc_fun(_u20787, _u20788)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_fun__Enum_Oenum ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_fun__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u20789) | ~class_Enum_Oenum(_u20790) | class_Enum_Oenum(tc_fun(_u20789, _u20790)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Com__Ocom__HOL_Oequal ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Com__Ocom__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_Com_Ocom) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Com__Ocom__Nat_Osize ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Com__Ocom__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Com_Ocom) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__1__strict ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Rings_Olinordered__semiring__1__strict-1, axiom, ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Groups_Oordered__ab__group__add__abs ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Groups_Oordered__ab__group__add__abs-1, axiom, ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Groups_Olinordered__ab__group__add ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Groups_Olinordered__ab__group__add-1, axiom, ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Rings_Oring__1__no__zero__divisors ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Rings_Oring__1__no__zero__divisors-1, axiom, ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Rings_Olinordered__ring__strict ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Rings_Olinordered__ring__strict-1, axiom, ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Rings_Oring__no__zero__divisors ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Rings_Oring__no__zero__divisors-1, axiom, ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__1 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Rings_Olinordered__semiring__1-1, axiom, ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Groups_Oordered__ab__group__add ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Groups_Oordered__ab__group__add-1, axiom, ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Lazy__Sequence_Osmall__lazy ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Lazy__Sequence_Osmall__lazy-1, axiom, ( class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Rings_Oordered__ring__abs ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Rings_Oordered__ring__abs-1, axiom, ( class_Rings_Oordered__ring__abs(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Rings_Olinordered__ring ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Rings_Olinordered__ring-1, axiom, ( class_Rings_Olinordered__ring(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Rings_Olinordered__idom ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Rings_Olinordered__idom-1, axiom, ( class_Rings_Olinordered__idom(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Divides_Osemiring__div ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Groups_Oab__group__add ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Groups_Oab__group__add-1, axiom, ( class_Groups_Oab__group__add(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Rings_Oordered__ring ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Rings_Oordered__ring-1, axiom, ( class_Rings_Oordered__ring(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Orderings_Opreorder ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Orderings_Olinorder ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Rings_Ocomm__ring__1 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Rings_Ocomm__ring__1-1, axiom, ( class_Rings_Ocomm__ring__1(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Groups_Omonoid__add ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Lattices_Olattice ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Groups_Ogroup__add ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Groups_Ogroup__add-1, axiom, ( class_Groups_Ogroup__add(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Divides_Oring__div ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Divides_Oring__div-1, axiom, ( class_Divides_Oring__div(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Rings_Omult__zero ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Rings_Ocomm__ring ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Rings_Ocomm__ring-1, axiom, ( class_Rings_Ocomm__ring(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Orderings_Oorder ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Int_Oring__char__0 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Int_Oring__char__0-1, axiom, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Int_Onumber__ring ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Int_Onumber__ring-1, axiom, ( class_Int_Onumber__ring(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Rings_Osemiring ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Orderings_Oord ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Groups_Ouminus ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Groups_Osgn__if ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Groups_Osgn__if-1, axiom, ( class_Groups_Osgn__if(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Groups_Oabs__if ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Groups_Oabs__if-1, axiom, ( class_Groups_Oabs__if(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Rings_Oring__1 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Rings_Oring__1-1, axiom, ( class_Rings_Oring__1(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Groups_Ominus ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Power_Opower ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Power_Opower-1, axiom, ( class_Power_Opower(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Groups_Ozero ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Rings_Oring ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Rings_Oring-1, axiom, ( class_Rings_Oring(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Rings_Oidom ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Rings_Oidom-1, axiom, ( class_Rings_Oidom(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Int_Onumber ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Groups_Oone ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__Rings_Odvd ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Int__Oint__HOL_Oequal ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Int__Oint__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_Int_Oint) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Divides_Osemiring__div ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Orderings_Owellorder ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Orderings_Owellorder-1, axiom, ( class_Orderings_Owellorder(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Orderings_Opreorder ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Orderings_Olinorder ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Groups_Omonoid__add ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Lattices_Olattice ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Rings_Omult__zero ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Orderings_Oorder ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Rings_Osemiring ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Orderings_Oord ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Orderings_Obot ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Orderings_Obot-1, axiom, ( class_Orderings_Obot(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Groups_Ominus ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Power_Opower ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Power_Opower-1, axiom, ( class_Power_Opower(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Groups_Ozero ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Int_Onumber ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Groups_Oone ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Rings_Odvd ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__HOL_Oequal ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nat__Onat__Nat_Osize ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nat__Onat__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Nat_Onat) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice-1, axiom, ( class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice__top ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_HOL__Obool__Lattices_Obounded__lattice__top-1, axiom, ( class_Lattices_Obounded__lattice__top(tc_HOL_Obool) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice__bot ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_HOL__Obool__Lattices_Obounded__lattice__bot-1, axiom, ( class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_HOL__Obool__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_HOL__Obool__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_HOL_Obool) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_HOL__Obool__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_HOL__Obool__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_HOL_Obool) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_HOL__Obool__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_HOL__Obool__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_HOL_Obool) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_HOL__Obool__Lattices_Oboolean__algebra ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_HOL__Obool__Lattices_Oboolean__algebra-1, axiom, ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_HOL__Obool__Orderings_Opreorder ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_HOL__Obool__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_HOL__Obool__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_HOL__Obool__Finite__Set_Ofinite-1, axiom, ( class_Finite__Set_Ofinite(tc_HOL_Obool) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_HOL__Obool__Lattices_Olattice ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_HOL__Obool__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_HOL_Obool) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_HOL__Obool__Orderings_Oorder ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_HOL__Obool__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_HOL__Obool__Orderings_Otop ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_HOL__Obool__Orderings_Otop-1, axiom, ( class_Orderings_Otop(tc_HOL_Obool) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_HOL__Obool__Orderings_Oord ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_HOL__Obool__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_HOL__Obool__Orderings_Obot ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_HOL__Obool__Orderings_Obot-1, axiom, ( class_Orderings_Obot(tc_HOL_Obool) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_HOL__Obool__Groups_Ouminus ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_HOL__Obool__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_HOL_Obool) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_HOL__Obool__Groups_Ominus ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_HOL__Obool__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_HOL_Obool) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_HOL__Obool__HOL_Oequal ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_HOL__Obool__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_HOL_Obool) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_HOL__Obool__Enum_Oenum ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_HOL__Obool__Enum_Oenum-1, axiom, ( class_Enum_Oenum(tc_HOL_Obool) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_HOL__Obool__Nat_Osize ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_HOL__Obool__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_HOL_Obool) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Com__Ostate__HOL_Oequal ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Com__Ostate__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_Com_Ostate) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Com__Ostate__Nat_Osize ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Com__Ostate__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Com_Ostate) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_List__Olist__Lazy__Sequence_Osmall__lazy ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_List__Olist__Lazy__Sequence_Osmall__lazy-1, axiom, ( ~class_Lazy__Sequence_Osmall__lazy(_u20791) | class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(_u20791)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_List__Olist__HOL_Oequal ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_List__Olist__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_List_Olist(_u20792)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_List__Olist__Nat_Osize ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_List__Olist__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_List_Olist(_u20793)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_sum__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_sum__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20794) | ~class_Finite__Set_Ofinite(_u20795) | class_Finite__Set_Ofinite(tc_sum(_u20794, _u20795)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_sum__HOL_Oequal ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_sum__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_sum(_u20796, _u20797)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_sum__Enum_Oenum ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_sum__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u20798) | ~class_Enum_Oenum(_u20799) | class_Enum_Oenum(tc_sum(_u20798, _u20799)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_sum__Nat_Osize ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_sum__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_sum(_u20800, _u20801)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Option__Ooption__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Option__Ooption__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20802) | class_Finite__Set_Ofinite(tc_Option_Ooption(_u20802)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Option__Ooption__HOL_Oequal ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Option__Ooption__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_Option_Ooption(_u20803)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Option__Ooption__Enum_Oenum ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Option__Ooption__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u20804) | class_Enum_Oenum(tc_Option_Ooption(_u20804)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Option__Ooption__Nat_Osize ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Option__Ooption__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Option_Ooption(_u20805)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nitpick__Opair____box__HOL_Oequal ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nitpick__Opair____box__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_Nitpick_Opair__box(_u20806, _u20807)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Nitpick__Opair____box__Nat_Osize ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Nitpick__Opair____box__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Nitpick_Opair__box(_u20808, _u20809)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_prod__Lazy__Sequence_Osmall__lazy ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_prod__Lazy__Sequence_Osmall__lazy-1, axiom, ( ~class_Lazy__Sequence_Osmall__lazy(_u20810) | ~class_Lazy__Sequence_Osmall__lazy(_u20811) | class_Lazy__Sequence_Osmall__lazy(tc_prod(_u20810, _u20811)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_prod__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_prod__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20812) | ~class_Finite__Set_Ofinite(_u20813) | class_Finite__Set_Ofinite(tc_prod(_u20812, _u20813)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_prod__HOL_Oequal ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_prod__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_prod(_u20814, _u20815)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_prod__Enum_Oenum ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_prod__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u20816) | ~class_Enum_Oenum(_u20817) | class_Enum_Oenum(tc_prod(_u20816, _u20817)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_prod__Nat_Osize ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_prod__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_prod(_u20818, _u20819)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy-1, axiom, ( class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Product____Type__Ounit__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Product____Type__Ounit__Finite__Set_Ofinite-1, axiom, ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Product____Type__Ounit__HOL_Oequal ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Product____Type__Ounit__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_Product__Type_Ounit) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Product____Type__Ounit__Enum_Oenum ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Product____Type__Ounit__Enum_Oenum-1, axiom, ( class_Enum_Oenum(tc_Product__Type_Ounit) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Product____Type__Ounit__Nat_Osize ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Product____Type__Ounit__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Product__Type_Ounit) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Code____Evaluation__Oterm__HOL_Oequal ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Code____Evaluation__Oterm__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_Code__Evaluation_Oterm) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Code____Evaluation__Oterm__Nat_Osize ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Code____Evaluation__Oterm__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Code__Evaluation_Oterm) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Hoare____Mirabelle__Otriple__HOL_Oequal ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Hoare____Mirabelle__Otriple__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_Hoare__Mirabelle_Otriple(_u20820)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Hoare____Mirabelle__Otriple__Nat_Osize ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Hoare____Mirabelle__Otriple__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(_u20821)) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 12.54/12.75 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.75
% 12.54/12.75 % Formula: arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div ( axiom ) converted to clauses:
% 12.54/12.76 cnf(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.76
% 12.54/12.76 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 12.54/12.76 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.76
% 12.54/12.76 % Formula: arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 12.54/12.76 cnf(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.76
% 12.54/12.76 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 12.54/12.76 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.76
% 12.54/12.76 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder ( axiom ) converted to clauses:
% 12.54/12.76 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.76
% 12.54/12.76 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder ( axiom ) converted to clauses:
% 12.54/12.76 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.76
% 12.54/12.76 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 12.54/12.76 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.76
% 12.54/12.76 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add ( axiom ) converted to clauses:
% 12.54/12.76 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.76
% 12.54/12.76 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 12.54/12.76 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.76
% 12.54/12.76 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 12.54/12.76 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.76
% 12.54/12.76 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero ( axiom ) converted to clauses:
% 12.54/12.76 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.76
% 12.54/12.76 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Oorder ( axiom ) converted to clauses:
% 12.54/12.76 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.76
% 12.54/12.76 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring ( axiom ) converted to clauses:
% 12.54/12.76 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.76
% 12.54/12.76 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Oord ( axiom ) converted to clauses:
% 12.54/12.76 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.76
% 12.54/12.76 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ominus ( axiom ) converted to clauses:
% 12.54/12.76 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.76
% 12.54/12.76 % Formula: arity_Code____Numeral__Ocode____numeral__Power_Opower ( axiom ) converted to clauses:
% 12.54/12.76 cnf(arity_Code____Numeral__Ocode____numeral__Power_Opower-1, axiom, ( class_Power_Opower(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.76
% 12.54/12.76 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ozero ( axiom ) converted to clauses:
% 12.54/12.76 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.76
% 12.54/12.76 % Formula: arity_Code____Numeral__Ocode____numeral__Int_Onumber ( axiom ) converted to clauses:
% 12.54/12.76 cnf(arity_Code____Numeral__Ocode____numeral__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.76
% 12.54/12.76 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oone ( axiom ) converted to clauses:
% 12.54/12.76 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.76
% 12.54/12.76 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Odvd ( axiom ) converted to clauses:
% 12.54/12.76 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.76
% 12.54/12.76 % Formula: arity_Code____Numeral__Ocode____numeral__HOL_Oequal ( axiom ) converted to clauses:
% 12.54/12.76 cnf(arity_Code____Numeral__Ocode____numeral__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.76
% 12.54/12.76 % Formula: arity_Code____Numeral__Ocode____numeral__Nat_Osize ( axiom ) converted to clauses:
% 12.54/12.76 cnf(arity_Code____Numeral__Ocode____numeral__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.76
% 12.54/12.76 % Formula: arity_Lazy____Sequence__Olazy____sequence__HOL_Oequal ( axiom ) converted to clauses:
% 12.54/12.76 cnf(arity_Lazy____Sequence__Olazy____sequence__HOL_Oequal-1, axiom, ( class_HOL_Oequal(tc_Lazy__Sequence_Olazy__sequence(_u20822)) )).
% 12.54/12.76
% 12.54/12.76 % Formula: arity_Lazy____Sequence__Olazy____sequence__Nat_Osize ( axiom ) converted to clauses:
% 12.54/12.76 cnf(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20823)) )).
% 12.54/12.76
% 12.54/12.76 % Formula: help_c__COMBI__1 ( axiom ) converted to clauses:
% 12.54/12.76 cnf(help_c__COMBI__1-1, axiom, ( ( hAPP(c_COMBI(_u20824), _u20825) = _u20825) )).
% 12.54/12.76
% 12.54/12.76 % Formula: help_c__COMBK__1 ( axiom ) converted to clauses:
% 12.54/12.76 cnf(help_c__COMBK__1-1, axiom, ( ( hAPP(hAPP(c_COMBK(_u20826, _u20827), _u20828), _u20829) = _u20828) )).
% 12.54/12.76
% 12.54/12.76 % Formula: help_c__COMBB__1 ( axiom ) converted to clauses:
% 12.54/12.76 cnf(help_c__COMBB__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBB(_u20830, _u20831, _u20832), _u20833), _u20834), _u20835) = hAPP(_u20833, hAPP(_u20834, _u20835))) )).
% 12.54/12.76
% 12.54/12.76 % Formula: help_c__COMBC__1 ( axiom ) converted to clauses:
% 12.54/12.76 cnf(help_c__COMBC__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBC(_u20836, _u20837, _u20838), _u20839), _u20840), _u20841) = hAPP(hAPP(_u20839, _u20841), _u20840)) )).
% 12.54/12.76
% 12.54/12.76 % Formula: help_c__COMBS__1 ( axiom ) converted to clauses:
% 12.54/12.76 cnf(help_c__COMBS__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBS(_u20842, _u20843, _u20844), _u20845), _u20846), _u20847) = hAPP(hAPP(_u20845, _u20847), hAPP(_u20846, _u20847))) )).
% 12.54/12.76
% 12.54/12.76 % Formula: help_c__fequal__1 ( axiom ) converted to clauses:
% 12.54/12.76 cnf(help_c__fequal__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_fequal, _u20848), _u20849)) | ( _u20848 = _u20849) )).
% 12.54/12.76
% 12.54/12.76 % Formula: help_c__fequal__2 ( axiom ) converted to clauses:
% 12.54/12.76 cnf(help_c__fequal__2-1, axiom, ( ( _u20850 != _u20851) | hBOOL(hAPP(hAPP(c_fequal, _u20850), _u20851)) )).
% 12.54/12.76
% 12.54/12.76 % Formula: help_c__fFalse__1 ( axiom ) converted to clauses:
% 12.54/12.76 cnf(help_c__fFalse__1-1, axiom, ( ~hBOOL(c_fFalse) )).
% 12.54/12.76
% 12.54/12.76 % Formula: help_c__fTrue__1 ( axiom ) converted to clauses:
% 12.54/12.76 cnf(help_c__fTrue__1-1, axiom, ( hBOOL(c_fTrue) )).
% 12.54/12.76
% 12.54/12.76 % Formula: help_c__fNot__1 ( axiom ) converted to clauses:
% 12.54/12.76 cnf(help_c__fNot__1-1, axiom, ( ~hBOOL(hAPP(c_fNot, _u20852)) | ~hBOOL(_u20852) )).
% 12.54/12.76
% 12.54/12.76 % Formula: help_c__fNot__2 ( axiom ) converted to clauses:
% 12.54/12.76 cnf(help_c__fNot__2-1, axiom, ( hBOOL(_u20853) | hBOOL(hAPP(c_fNot, _u20853)) )).
% 12.54/12.76
% 12.54/12.76 % Formula: help_c__fconj__1 ( axiom ) converted to clauses:
% 12.54/12.76 cnf(help_c__fconj__1-1, axiom, ( ~hBOOL(_u20855) | ~hBOOL(_u20854) | hBOOL(hAPP(hAPP(c_fconj, _u20854), _u20855)) )).
% 12.54/12.76
% 12.54/12.76 % Formula: help_c__fconj__2 ( axiom ) converted to clauses:
% 12.54/12.76 cnf(help_c__fconj__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_fconj, _u20856), _u20857)) | hBOOL(_u20856) )).
% 12.54/12.76
% 12.54/12.76 % Formula: help_c__fconj__3 ( axiom ) converted to clauses:
% 12.54/12.76 cnf(help_c__fconj__3-1, axiom, ( hBOOL(_u20859) | ~hBOOL(hAPP(hAPP(c_fconj, _u20858), _u20859)) )).
% 12.54/12.76
% 12.54/12.76 % Formula: help_c__fdisj__1 ( axiom ) converted to clauses:
% 12.54/12.76 cnf(help_c__fdisj__1-1, axiom, ( ~hBOOL(_u20860) | hBOOL(hAPP(hAPP(c_fdisj, _u20860), _u20861)) )).
% 12.54/12.76
% 12.54/12.76 % Formula: help_c__fdisj__2 ( axiom ) converted to clauses:
% 12.54/12.76 cnf(help_c__fdisj__2-1, axiom, ( ~hBOOL(_u20862) | hBOOL(hAPP(hAPP(c_fdisj, _u20863), _u20862)) )).
% 12.54/12.76
% 12.54/12.76 % Formula: help_c__fdisj__3 ( axiom ) converted to clauses:
% 12.54/12.76 cnf(help_c__fdisj__3-1, axiom, ( hBOOL(_u20865) | ~hBOOL(hAPP(hAPP(c_fdisj, _u20864), _u20865)) | hBOOL(_u20864) )).
% 12.54/12.76
% 12.54/12.76 % Formula: help_c__fimplies__1 ( axiom ) converted to clauses:
% 12.54/12.76 cnf(help_c__fimplies__1-1, axiom, ( hBOOL(_u20866) | hBOOL(hAPP(hAPP(c_fimplies, _u20866), _u20867)) )).
% 12.54/12.76
% 12.54/12.76 % Formula: help_c__fimplies__2 ( axiom ) converted to clauses:
% 12.54/12.76 cnf(help_c__fimplies__2-1, axiom, ( ~hBOOL(_u20868) | hBOOL(hAPP(hAPP(c_fimplies, _u20869), _u20868)) )).
% 12.54/12.76
% 12.54/12.76 % Formula: help_c__fimplies__3 ( axiom ) converted to clauses:
% 12.54/12.76 cnf(help_c__fimplies__3-1, axiom, ( hBOOL(_u20871) | ~hBOOL(hAPP(hAPP(c_fimplies, _u20870), _u20871)) | ~hBOOL(_u20870) )).
% 12.54/12.76
% 12.54/12.76 % Formula: conj_0 ( hypothesis ) converted to clauses:
% 12.54/12.76 cnf(conj_0-1, hypothesis, ( ~v_Q_H(_u20873, _u20872) | v_Q(_u20873, _u20872) )).
% 12.54/12.76
% 12.54/12.76 % Formula: conj_1 ( conjecture ) converted to clauses:
% 12.54/12.76 cnf(conj_1-1, negated_conjecture, ( v_P(skolem601, skolem602) )).
% 12.54/12.76 cnf(conj_1-2, negated_conjecture, ( ~v_P(_u20874, skolem602) | v_Q_H(_u20874, skolem603) )).
% 12.54/12.76 cnf(conj_1-3, negated_conjecture, ( ~v_Q(skolem601, skolem603) )).
% 12.54/12.76
% 12.54/12.76 % Problem matrix:
% 12.54/12.76 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 12.54/12.76 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 12.54/12.76 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 12.54/12.76 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP(__eqx_0, __eqx_1) = hAPP(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Hoare__Mirabelle_Otriple(__eqx_0) = tc_Hoare__Mirabelle_Otriple(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_Oequal__class_Oequal(__eqx_0) = c_HOL_Oequal__class_Oequal(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( c_Hoare__Mirabelle_ORep__triple(__eqx_0) = c_Hoare__Mirabelle_ORep__triple(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( c_Hoare__Mirabelle_OAbs__triple(__eqx_0) = c_Hoare__Mirabelle_OAbs__triple(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_fun(__eqx_0, __eqx_1) = tc_fun(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_sum(__eqx_0, __eqx_1) = tc_sum(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_Datatype_Onode(__eqx_0, __eqx_1) = tc_Datatype_Onode(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( c_member(__eqx_0) = c_member(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OCollect(__eqx_0) = c_Set_OCollect(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( c_Hoare__Mirabelle_Otriple_Otriple__rep__set(__eqx_0) = c_Hoare__Mirabelle_Otriple_Otriple__rep__set(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord_OatMost(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord_OatMost(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord_OatLeast(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord_OatLeast(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord_OlessThan(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord_OlessThan(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord_OgreaterThan(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord_OgreaterThan(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_SetInterval_Oord_OatLeastAtMost(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_SetInterval_Oord_OatLeastAtMost(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_SetInterval_Oord_OgreaterThanLessThan(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_SetInterval_Oord_OgreaterThanLessThan(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_SetInterval_Oord_OgreaterThanAtMost(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_SetInterval_Oord_OgreaterThanAtMost(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_SetInterval_Oord_OatLeastLessThan(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_SetInterval_Oord_OatLeastLessThan(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Complete__Lattice_OInf__class_OInf(__eqx_0, __eqx_1) = c_Complete__Lattice_OInf__class_OInf(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Complete__Lattice_OSup__class_OSup(__eqx_0, __eqx_1) = c_Complete__Lattice_OSup__class_OSup(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Obot__class_Obot(__eqx_0) = c_Orderings_Obot__class_Obot(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Otop__class_Otop(__eqx_0) = c_Orderings_Otop__class_Otop(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Oless__eq(__eqx_0) = c_Orderings_Oord__class_Oless__eq(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Predicate_OPowp(__eqx_0, __eqx_1) = c_Predicate_OPowp(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OgreaterThan(__eqx_0) = c_SetInterval_Oord__class_OgreaterThan(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OPow(__eqx_0) = c_Set_OPow(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OatMost(__eqx_0) = c_SetInterval_Oord__class_OatMost(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OatLeast(__eqx_0) = c_SetInterval_Oord__class_OatLeast(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_Oinsert(__eqx_0) = c_Set_Oinsert(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OlessThan(__eqx_0) = c_SetInterval_Oord__class_OlessThan(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Complete__Lattice_Ocomplete__lattice__class_OINFI(__eqx_0, __eqx_1) = c_Complete__Lattice_Ocomplete__lattice__class_OINFI(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(__eqx_0, __eqx_1) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord__class_OgreaterThanLessThan(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord__class_OgreaterThanLessThan(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord__class_OgreaterThanAtMost(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Set_Othe__elem(__eqx_0, __eqx_1) = c_Set_Othe__elem(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lattices_Osemilattice__sup__class_Osup(__eqx_0) = c_Lattices_Osemilattice__sup__class_Osup(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lattices_Osemilattice__inf__class_Oinf(__eqx_0) = c_Lattices_Osemilattice__inf__class_Oinf(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-41, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ominus__class_Ominus(__eqx_0) = c_Groups_Ominus__class_Ominus(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-42, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord__class_OatLeastAtMost(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord__class_OatLeastAtMost(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-43, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Oless(__eqx_0) = c_Orderings_Oord__class_Oless(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-44, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_SetInterval_Oord__class_OatLeastLessThan(__eqx_0, __eqx_1) = c_SetInterval_Oord__class_OatLeastLessThan(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-45, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Finite__Set_Ofold__graph(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Finite__Set_Ofold__graph(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-46, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ouminus__class_Ouminus(__eqx_0) = c_Groups_Ouminus__class_Ouminus(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-47, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Finite__Set_Ofold1Set(__eqx_0, __eqx_1, __eqx_2) = c_Finite__Set_Ofold1Set(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-48, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Otimes__class_Otimes(__eqx_0) = c_Groups_Otimes__class_Otimes(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-49, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Set_Oimage(__eqx_0, __eqx_1, __eqx_2) = c_Set_Oimage(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-50, plain, ( ( __eqx_0 != __eqy_0) | ( c_Finite__Set_Ofinite(__eqx_0) = c_Finite__Set_Ofinite(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-51, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_prod(__eqx_0, __eqx_1) = tc_prod(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-52, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Option_Ooption(__eqx_0) = tc_Option_Ooption(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-53, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Big__Operators_Olattice__class_OInf__fin(__eqx_0, __eqx_1) = c_Big__Operators_Olattice__class_OInf__fin(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-54, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Big__Operators_Olattice__class_OSup__fin(__eqx_0, __eqx_1) = c_Big__Operators_Olattice__class_OSup__fin(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-55, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Fun_Ofun__upd(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Fun_Ofun__upd(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-56, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Finite__Set_Ofold(__eqx_0, __eqx_1, __eqx_2) = c_Finite__Set_Ofold(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-57, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Finite__Set_Ofold1(__eqx_0, __eqx_1) = c_Finite__Set_Ofold1(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-58, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(__eqx_0, __eqx_1) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-59, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(__eqx_0, __eqx_1) = c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-60, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oplus__class_Oplus(__eqx_0) = c_Groups_Oplus__class_Oplus(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-61, plain, ( ( __eqx_0 != __eqy_0) | ( c_Finite__Set_Ocard(__eqx_0) = c_Finite__Set_Ocard(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-62, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oone__class_Oone(__eqx_0) = c_Groups_Oone__class_Oone(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-63, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Finite__Set_Ofold__image(__eqx_0, __eqx_1, __eqx_2) = c_Finite__Set_Ofold__image(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-64, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ozero__class_Ozero(__eqx_0) = c_Groups_Ozero__class_Ozero(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-65, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oring__1__class_OInts(__eqx_0) = c_Int_Oring__1__class_OInts(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-66, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Sum__Type_OPlus(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Sum__Type_OPlus(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-67, plain, ( ( __eqx_0 != __eqy_0) | ( c_Rings_Oinverse__class_Odivide(__eqx_0) = c_Rings_Oinverse__class_Odivide(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-68, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Groups_Osgn__class_Osgn(__eqx_0, __eqx_1) = c_Groups_Osgn__class_Osgn(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-69, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Onumber__class_Onumber__of(__eqx_0) = c_Int_Onumber__class_Onumber__of(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-70, plain, ( ( __eqx_0 != __eqy_0) | ( c_Power_Opower__class_Opower(__eqx_0) = c_Power_Opower__class_Opower(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-71, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Power_Opower_Opower(__eqx_0, __eqx_1, __eqx_2) = c_Power_Opower_Opower(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-72, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nat__Transfer_Otsub(__eqx_0, __eqx_1) = c_Nat__Transfer_Otsub(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-73, plain, ( ( __eqx_0 != __eqy_0) | ( c_Divides_Odiv__class_Odiv(__eqx_0) = c_Divides_Odiv__class_Odiv(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-74, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osemiring__1__class_Oof__nat(__eqx_0) = c_Nat_Osemiring__1__class_Oof__nat(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-75, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_SMT_Oz3div(__eqx_0, __eqx_1) = c_SMT_Oz3div(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-76, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Divides_Odiv__class_Omod(__eqx_0, __eqx_1, __eqx_2) = c_Divides_Odiv__class_Omod(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-77, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_SMT_Oz3mod(__eqx_0, __eqx_1) = c_SMT_Oz3mod(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-78, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Osucc(__eqx_0) = c_Int_Osucc(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-79, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Int_Onat__aux(__eqx_0, __eqx_1) = c_Int_Onat__aux(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-80, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oring__1__class_Oof__int(__eqx_0) = c_Int_Oring__1__class_Oof__int(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-81, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oabs__class_Oabs(__eqx_0) = c_Groups_Oabs__class_Oabs(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-82, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Opred(__eqx_0) = c_Int_Opred(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-83, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osemiring__1__class_ONats(__eqx_0) = c_Nat_Osemiring__1__class_ONats(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-84, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Oint__lcm(__eqx_0, __eqx_1) = c_Nitpick_Oint__lcm(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-85, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Onat__lcm(__eqx_0, __eqx_1) = c_Nitpick_Onat__lcm(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-86, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Onat__gcd(__eqx_0, __eqx_1) = c_Nitpick_Onat__gcd(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-87, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_OBit1(__eqx_0) = c_Int_OBit1(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-88, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_OBit0(__eqx_0) = c_Int_OBit0(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-89, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Code__Numeral_Onat__of__aux(__eqx_0, __eqx_1) = c_Code__Numeral_Onat__of__aux(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-90, plain, ( ( __eqx_0 != __eqy_0) | ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(__eqx_0) = c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-91, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osize__class_Osize(__eqx_0) = c_Nat_Osize__class_Osize(__eqy_0)) )).
% 12.54/12.76 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__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-93, plain, ( ( __eqx_0 != __eqy_0) | ( c_Code__Numeral_OSuc__code__numeral(__eqx_0) = c_Code__Numeral_OSuc__code__numeral(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-94, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Olog(__eqx_0, __eqx_1) = c_Random_Olog(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-95, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Random_Ominus__shift(__eqx_0, __eqx_1, __eqx_2) = c_Random_Ominus__shift(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-96, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Oinc__shift(__eqx_0, __eqx_1) = c_Random_Oinc__shift(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-97, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Omin(__eqx_0) = c_Orderings_Oord__class_Omin(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-98, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Orderings_Oord_Omin(__eqx_0, __eqx_1) = c_Orderings_Oord_Omin(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-99, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Big__Operators_Olinorder__class_OMin(__eqx_0, __eqx_1) = c_Big__Operators_Olinorder__class_OMin(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-100, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Big__Operators_Olattice_OInf__fin(__eqx_0, __eqx_1, __eqx_2) = c_Big__Operators_Olattice_OInf__fin(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-101, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Big__Operators_Olinorder__class_OMax(__eqx_0, __eqx_1) = c_Big__Operators_Olinorder__class_OMax(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-102, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Omax(__eqx_0) = c_Orderings_Oord__class_Omax(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-103, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Orderings_Oord_Omax(__eqx_0, __eqx_1) = c_Orderings_Oord_Omax(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-104, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Big__Operators_Olattice_OSup__fin(__eqx_0, __eqx_1, __eqx_2) = c_Big__Operators_Olattice_OSup__fin(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-105, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Nitpick_Opair__box_OPairBox(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Nitpick_Opair__box_OPairBox(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-106, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Nitpick_Opair__box_Opair__box__size(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Nitpick_Opair__box_Opair__box__size(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-107, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_COMBB(__eqx_0, __eqx_1, __eqx_2) = c_COMBB(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-108, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_COMBC(__eqx_0, __eqx_1, __eqx_2) = c_COMBC(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-109, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_OnegDivAlg(__eqx_0, __eqx_1) = c_Divides_OnegDivAlg(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-110, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Product__Type_OPair(__eqx_0, __eqx_1) = c_Product__Type_OPair(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-111, plain, ( ( __eqx_0 != __eqy_0) | ( c_Divides_Oadjust(__eqx_0) = c_Divides_Oadjust(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-112, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Onat_Onat__size(__eqx_0) = c_Nat_Onat_Onat__size(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-113, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_COMBS(__eqx_0, __eqx_1, __eqx_2) = c_COMBS(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-114, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_COMBK(__eqx_0, __eqx_1) = c_COMBK(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-115, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_HOL_OLet(__eqx_0, __eqx_1) = c_HOL_OLet(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-116, plain, ( ( __eqx_0 != __eqy_0) | ( c_COMBI(__eqx_0) = c_COMBI(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-117, plain, ( ( __eqx_0 != __eqy_0) | ( c_If(__eqx_0) = c_If(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-118, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Onorm__frac(__eqx_0, __eqx_1) = c_Nitpick_Onorm__frac(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-119, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Nat_Onat_Onat__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Nat_Onat_Onat__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-120, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_OposDivAlg(__eqx_0, __eqx_1) = c_Divides_OposDivAlg(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-121, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_FunDef_Oin__rel(__eqx_0, __eqx_1, __eqx_2) = c_FunDef_Oin__rel(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-122, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Code__Numeral_Odiv__mod__code__numeral(__eqx_0, __eqx_1) = c_Code__Numeral_Odiv__mod__code__numeral(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-123, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Product__Type_Oprod_Oprod__case(__eqx_0, __eqx_1, __eqx_2) = c_Product__Type_Oprod_Oprod__case(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-124, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_Odivmod__nat(__eqx_0, __eqx_1) = c_Divides_Odivmod__nat(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-125, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Nat_Onat_Onat__rec(__eqx_0, __eqx_1, __eqx_2) = c_Nat_Onat_Onat__rec(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-126, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_Odivmod__int(__eqx_0, __eqx_1) = c_Divides_Odivmod__int(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-127, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Nat_Osemiring__1__class_Oof__nat__aux(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-128, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Product__Type_Oapsnd(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Product__Type_Oapsnd(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-129, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_Opdivmod(__eqx_0, __eqx_1) = c_Divides_Opdivmod(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-130, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Nitpick_Oprod(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Nitpick_Oprod(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-131, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oint__ge__less__than2(__eqx_0) = c_Int_Oint__ge__less__than2(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-132, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oint__ge__less__than(__eqx_0) = c_Int_Oint__ge__less__than(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-133, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_Odivmod__nat__rel(__eqx_0, __eqx_1) = c_Divides_Odivmod__nat__rel(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-134, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_Nitpick_Opair__box(__eqx_0, __eqx_1) = tc_Nitpick_Opair__box(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-135, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Nitpick_Opair__box_Opair__box__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Nitpick_Opair__box_Opair__box__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-136, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Nitpick_Opair__box_Opair__box__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Nitpick_Opair__box_Opair__box__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-137, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Oaccp(__eqx_0, __eqx_1) = c_Wellfounded_Oaccp(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-138, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_Odivmod__int__rel(__eqx_0, __eqx_1) = c_Divides_Odivmod__int__rel(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-139, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Product__Type_Osnd(__eqx_0, __eqx_1) = c_Product__Type_Osnd(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-140, plain, ( ( __eqx_0 != __eqy_0) | ( c_Wellfounded_Omeasure(__eqx_0) = c_Wellfounded_Omeasure(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-141, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Product__Type_Ofst(__eqx_0, __eqx_1) = c_Product__Type_Ofst(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-142, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Product__Type_Oprod_Oprod__size(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Product__Type_Oprod_Oprod__size(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-143, plain, ( ( __eqx_0 != __eqy_0) | ( c_Random_Orange(__eqx_0) = c_Random_Orange(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-144, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Wellfounded_Omlex__prod(__eqx_0, __eqx_1, __eqx_2) = c_Wellfounded_Omlex__prod(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-145, plain, ( ( __eqx_0 != __eqy_0) | ( c_Wellfounded_Ofinite__psubset(__eqx_0) = c_Wellfounded_Ofinite__psubset(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-146, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_OEx(__eqx_0) = c_HOL_OEx(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-147, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Product__Type_Oprod_Oprod__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Product__Type_Oprod_Oprod__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-148, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Wellfounded_Olex__prod(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Wellfounded_Olex__prod(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-149, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Recdef_Osame__fst(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Recdef_Osame__fst(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-150, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Product__Type_Oapfst(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Product__Type_Oapfst(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-151, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Omax__ext(__eqx_0, __eqx_1) = c_Wellfounded_Omax__ext(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-152, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Omin__ext(__eqx_0, __eqx_1) = c_Wellfounded_Omin__ext(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-153, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_FunDef_Orp__inv__image(__eqx_0, __eqx_1) = c_FunDef_Orp__inv__image(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-154, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_Oinv__image(__eqx_0, __eqx_1) = c_Relation_Oinv__image(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-155, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Relation_OImage(__eqx_0, __eqx_1, __eqx_2) = c_Relation_OImage(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-156, plain, ( ( __eqx_0 != __eqy_0) | ( c_Relation_OField(__eqx_0) = c_Relation_OField(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-157, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_OId__on(__eqx_0, __eqx_1) = c_Relation_OId__on(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-158, plain, ( ( __eqx_0 != __eqy_0) | ( c_Equiv__Relations_Oquotient(__eqx_0) = c_Equiv__Relations_Oquotient(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-159, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Fun_Othe__inv__into(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Fun_Othe__inv__into(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-160, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Oacc(__eqx_0, __eqx_1) = c_Wellfounded_Oacc(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-161, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Relation_Orel__comp(__eqx_0, __eqx_1, __eqx_2) = c_Relation_Orel__comp(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-162, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Predicate_Opred__comp(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Predicate_Opred__comp(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-163, plain, ( ( __eqx_0 != __eqy_0) | ( tc_List_Olist(__eqx_0) = tc_List_Olist(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-164, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olenlex(__eqx_0, __eqx_1) = c_List_Olenlex(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-165, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olex(__eqx_0, __eqx_1) = c_List_Olex(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-166, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olexn(__eqx_0, __eqx_1) = c_List_Olexn(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-167, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Ozero__frac(__eqx_0) = c_Nitpick_Ozero__frac(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-168, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_OAbs__Frac(__eqx_0, __eqx_1) = c_Nitpick_OAbs__Frac(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-169, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Oone__frac(__eqx_0) = c_Nitpick_Oone__frac(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-170, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Onumber__of__frac(__eqx_0, __eqx_1) = c_Nitpick_Onumber__of__frac(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-171, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Ofrac(__eqx_0) = c_Nitpick_Ofrac(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-172, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_ORange(__eqx_0, __eqx_1) = c_Relation_ORange(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-173, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_HOL_OThe(__eqx_0, __eqx_1) = c_HOL_OThe(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-174, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Predicate_ORangeP(__eqx_0, __eqx_1, __eqx_2) = c_Predicate_ORangeP(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-175, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Partial__Function_Oflat__lub(__eqx_0, __eqx_1, __eqx_2) = c_Partial__Function_Oflat__lub(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-176, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Set_Ovimage(__eqx_0, __eqx_1, __eqx_2) = c_Set_Ovimage(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-177, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_ODomain(__eqx_0, __eqx_1) = c_Relation_ODomain(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-178, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Predicate_ODomainP(__eqx_0, __eqx_1, __eqx_2) = c_Predicate_ODomainP(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-179, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Product__Type_OSigma(__eqx_0, __eqx_1) = c_Product__Type_OSigma(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-180, plain, ( ( __eqx_0 != __eqy_0) | ( c_Fun_Oid(__eqx_0) = c_Fun_Oid(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-181, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( c_Product__Type_Omap__pair(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = c_Product__Type_Omap__pair(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.54/12.76 cnf(matrix-182, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OBall(__eqx_0) = c_Set_OBall(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-183, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_OAll(__eqx_0) = c_HOL_OAll(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-184, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Fun_Ocomp(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Fun_Ocomp(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-185, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Hilbert__Choice_OEps(__eqx_0, __eqx_1) = c_Hilbert__Choice_OEps(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-186, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Random_Oiterate(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Random_Oiterate(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-187, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Product__Type_Oscomp(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Product__Type_Oscomp(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-188, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Transitive__Closure_Otrancl(__eqx_0, __eqx_1) = c_Transitive__Closure_Otrancl(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-189, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Transitive__Closure_Ortrancl(__eqx_0, __eqx_1) = c_Transitive__Closure_Ortrancl(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-190, plain, ( ( __eqx_0 != __eqy_0) | ( c_Relation_OId(__eqx_0) = c_Relation_OId(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-191, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_Oconverse(__eqx_0, __eqx_1) = c_Relation_Oconverse(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-192, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nat_Ocompow(__eqx_0, __eqx_1) = c_Nat_Ocompow(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-193, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Ofunpow(__eqx_0) = c_Nat_Ofunpow(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-194, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Nitpick_Oplus__frac(__eqx_0, __eqx_1, __eqx_2) = c_Nitpick_Oplus__frac(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-195, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Odenom(__eqx_0) = c_Nitpick_Odenom(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-196, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Onum(__eqx_0) = c_Nitpick_Onum(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-197, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Product__Type_Ointernal__split(__eqx_0, __eqx_1, __eqx_2) = c_Product__Type_Ointernal__split(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-198, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Nitpick_Otimes__frac(__eqx_0, __eqx_1, __eqx_2) = c_Nitpick_Otimes__frac(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-199, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Nitpick_Oof__frac(__eqx_0, __eqx_1, __eqx_2) = c_Nitpick_Oof__frac(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-200, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Oinverse__frac(__eqx_0, __eqx_1) = c_Nitpick_Oinverse__frac(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-201, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Ouminus__frac(__eqx_0, __eqx_1) = c_Nitpick_Ouminus__frac(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-202, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_ORep__Frac(__eqx_0) = c_Nitpick_ORep__Frac(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-203, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_Obool_Obool__size(__eqx_0) = c_HOL_Obool_Obool__size(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-204, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Osublist(__eqx_0, __eqx_1, __eqx_2) = c_List_Osublist(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-205, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Olist_OCons(__eqx_0) = c_List_Olist_OCons(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-206, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Oset__Cons(__eqx_0, __eqx_1, __eqx_2) = c_List_Oset__Cons(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-207, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Opick(__eqx_0, __eqx_1) = c_Random_Opick(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-208, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Oselect__weight(__eqx_0, __eqx_1) = c_Random_Oselect__weight(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-209, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olexord(__eqx_0, __eqx_1) = c_List_Olexord(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-210, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistrel1(__eqx_0, __eqx_1) = c_List_Olistrel1(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-211, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Olist_Olist__size(__eqx_0, __eqx_1, __eqx_2) = c_List_Olist_Olist__size(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-212, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistrel(__eqx_0, __eqx_1) = c_List_Olistrel(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-213, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olists(__eqx_0, __eqx_1) = c_List_Olists(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-214, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Onth(__eqx_0) = c_List_Onth(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-215, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otake(__eqx_0) = c_List_Otake(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-216, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oset(__eqx_0) = c_List_Oset(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-217, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Ozip(__eqx_0, __eqx_1) = c_List_Ozip(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-218, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oupto(__eqx_0, __eqx_1) = c_List_Oupto(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-219, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Omonoid__add__class_Olistsum(__eqx_0) = c_List_Omonoid__add__class_Olistsum(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-220, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olist__update(__eqx_0, __eqx_1) = c_List_Olist__update(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-221, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Obutlast(__eqx_0, __eqx_1) = c_List_Obutlast(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-222, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Odistinct(__eqx_0) = c_List_Odistinct(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-223, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Ocard_H(__eqx_0, __eqx_1) = c_Nitpick_Ocard_H(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-224, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Oremove1(__eqx_0, __eqx_1, __eqx_2) = c_List_Oremove1(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-225, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Olist_ONil(__eqx_0) = c_List_Olist_ONil(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-226, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Oselect(__eqx_0, __eqx_1) = c_Random_Oselect(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-227, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistset(__eqx_0, __eqx_1) = c_List_Olistset(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-228, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_List_Olist_Olist__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_List_Olist_Olist__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-229, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olinorder__class_Osorted__list__of__set(__eqx_0, __eqx_1) = c_List_Olinorder__class_Osorted__list__of__set(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-230, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Lazy__Sequence_Oanamorph(__eqx_0, __eqx_1, __eqx_2) = c_Lazy__Sequence_Oanamorph(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-231, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Option_Ooption_Ooption__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Option_Ooption_Ooption__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-232, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oappend(__eqx_0) = c_List_Oappend(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-233, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Orotate1(__eqx_0) = c_List_Orotate1(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-234, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Odrop(__eqx_0) = c_List_Odrop(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-235, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Ohd(__eqx_0) = c_List_Ohd(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-236, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otl(__eqx_0) = c_List_Otl(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-237, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Orotate(__eqx_0, __eqx_1) = c_List_Orotate(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-238, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_List_Ofoldl(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_List_Ofoldl(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-239, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Olinorder__class_Oinsort__key(__eqx_0, __eqx_1, __eqx_2) = c_List_Olinorder__class_Oinsort__key(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-240, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_List_Olinorder__class_Oinsort__insert__key(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_List_Olinorder__class_Oinsort__insert__key(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-241, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olast(__eqx_0, __eqx_1) = c_List_Olast(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-242, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Omap(__eqx_0, __eqx_1) = c_List_Omap(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-243, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Nitpick_Osetsum_H(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Nitpick_Osetsum_H(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-244, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__DSequence_Opos__not__seq(__eqx_0) = c_New__DSequence_Opos__not__seq(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-245, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Ohb__not__seq(__eqx_0) = c_Lazy__Sequence_Ohb__not__seq(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-246, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Opartition(__eqx_0, __eqx_1, __eqx_2) = c_List_Opartition(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-247, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistsp(__eqx_0, __eqx_1) = c_List_Olistsp(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-248, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Enum_Oproduct(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Enum_Oproduct(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-249, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Enum_Osublists(__eqx_0, __eqx_1) = c_Enum_Osublists(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-250, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Enum_On__lists(__eqx_0, __eqx_1, __eqx_2) = c_Enum_On__lists(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-251, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Enum_Oenum__the(__eqx_0, __eqx_1) = c_Enum_Oenum__the(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-252, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oremdups(__eqx_0, __eqx_1) = c_List_Oremdups(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-253, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_OremoveAll(__eqx_0, __eqx_1) = c_List_OremoveAll(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-254, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oconcat(__eqx_0, __eqx_1) = c_List_Oconcat(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-255, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_List_Olinorder__class_Osort__key(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_List_Olinorder__class_Osort__key(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-256, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Otranspose(__eqx_0, __eqx_1) = c_List_Otranspose(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-257, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Ofilter(__eqx_0, __eqx_1) = c_List_Ofilter(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-258, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otranspose__rel(__eqx_0) = c_List_Otranspose__rel(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-259, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_List_Ofoldr(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_List_Ofoldr(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-260, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oupt(__eqx_0, __eqx_1) = c_List_Oupt(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-261, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Orev(__eqx_0) = c_List_Orev(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-262, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_OtakeWhile(__eqx_0, __eqx_1, __eqx_2) = c_List_OtakeWhile(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-263, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oreturn__list(__eqx_0) = c_List_Oreturn__list(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-264, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oembed__list(__eqx_0) = c_List_Oembed__list(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-265, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_OdropWhile(__eqx_0, __eqx_1, __eqx_2) = c_List_OdropWhile(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-266, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Oinsert(__eqx_0, __eqx_1, __eqx_2) = c_List_Oinsert(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-267, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_List_Omaps(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_List_Omaps(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-268, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Omeasures(__eqx_0, __eqx_1) = c_List_Omeasures(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-269, plain, ( ( __eqx_0 != __eqy_0) | ( c_Enum_Oenum__class_Oenum__ex(__eqx_0) = c_Enum_Oenum__class_Oenum__ex(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-270, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__Random__Sequence_Opos__not__random__dseq(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__Random__Sequence_Opos__not__random__dseq(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-271, plain, ( ( __eqx_0 != __eqy_0) | ( c_Enum_Oenum__class_Oenum__all(__eqx_0) = c_Enum_Oenum__class_Oenum__all(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-272, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__DSequence_Oneg__decr__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__DSequence_Oneg__decr__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-273, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Ohit__bound(__eqx_0) = c_Lazy__Sequence_Ohit__bound(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-274, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Lazy__Sequence_Olazy__sequence(__eqx_0) = tc_Lazy__Sequence_Olazy__sequence(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-275, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Lazy__Sequence_Ohb__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Lazy__Sequence_Ohb__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-276, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__DSequence_Opos__decr__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__DSequence_Opos__decr__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-277, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Oempty(__eqx_0) = c_Lazy__Sequence_Oempty(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-278, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Lazy__Sequence_Obind(__eqx_0, __eqx_1, __eqx_2) = c_Lazy__Sequence_Obind(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-279, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( c_New__Random__Sequence_Oneg__decr__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = c_New__Random__Sequence_Oneg__decr__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.54/12.76 cnf(matrix-280, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( c_New__Random__Sequence_Opos__decr__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = c_New__Random__Sequence_Opos__decr__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.54/12.76 cnf(matrix-281, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__DSequence_Oneg__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__DSequence_Oneg__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-282, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__DSequence_Opos__empty(__eqx_0) = c_New__DSequence_Opos__empty(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-283, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__Random__Sequence_Opos__empty(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__Random__Sequence_Opos__empty(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-284, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__Random__Sequence_Oneg__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__Random__Sequence_Oneg__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-285, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__DSequence_Opos__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__DSequence_Opos__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-286, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__Random__Sequence_Oneg__map(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__Random__Sequence_Oneg__map(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-287, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__Random__Sequence_Oneg__single(__eqx_0) = c_New__Random__Sequence_Oneg__single(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-288, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_New__DSequence_Oneg__single(__eqx_0, __eqx_1) = c_New__DSequence_Oneg__single(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-289, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__Random__Sequence_Opos__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__Random__Sequence_Opos__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-290, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Lazy__Sequence_Ohb__single(__eqx_0, __eqx_1) = c_Lazy__Sequence_Ohb__single(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-291, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__Random__Sequence_Opos__map(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__Random__Sequence_Opos__map(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-292, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__Random__Sequence_Opos__single(__eqx_0) = c_New__Random__Sequence_Opos__single(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-293, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_New__DSequence_Opos__single(__eqx_0, __eqx_1) = c_New__DSequence_Opos__single(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-294, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Osplice(__eqx_0, __eqx_1, __eqx_2) = c_List_Osplice(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-295, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Osingle(__eqx_0) = c_Lazy__Sequence_Osingle(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-296, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Predicate_Oconversep(__eqx_0, __eqx_1, __eqx_2) = c_Predicate_Oconversep(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-297, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Lazy__Sequence_Oproduct(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Lazy__Sequence_Oproduct(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-298, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Oreplicate(__eqx_0, __eqx_1, __eqx_2) = c_List_Oreplicate(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-299, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(__eqx_0, __eqx_1) = c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-300, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Lazy__Sequence_Oappend(__eqx_0, __eqx_1, __eqx_2) = c_Lazy__Sequence_Oappend(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-301, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_New__DSequence_Opos__union(__eqx_0, __eqx_1, __eqx_2) = c_New__DSequence_Opos__union(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-302, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Lazy__Sequence_Olazy__sequence_OInsert(__eqx_0, __eqx_1, __eqx_2) = c_Lazy__Sequence_Olazy__sequence_OInsert(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-303, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( c_New__Random__Sequence_Opos__union(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = c_New__Random__Sequence_Opos__union(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.54/12.76 cnf(matrix-304, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(__eqx_0, __eqx_1) = c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-305, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Lazy__Sequence_Osmall__lazy_H(__eqx_0, __eqx_1) = c_Lazy__Sequence_Osmall__lazy_H(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-306, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Oyield(__eqx_0) = c_Lazy__Sequence_Oyield(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-307, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-308, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Oyieldn(__eqx_0) = c_Lazy__Sequence_Oyieldn(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-309, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Omember(__eqx_0) = c_List_Omember(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-310, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_FunDef_OTHE__default(__eqx_0, __eqx_1, __eqx_2) = c_FunDef_OTHE__default(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-311, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Olazy__sequence_OEmpty(__eqx_0) = c_Lazy__Sequence_Olazy__sequence_OEmpty(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-312, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-313, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Random__Sequence_ORandom(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Random__Sequence_ORandom(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-314, plain, ( ( __eqx_0 != __eqy_0) | ( c_DSequence_Oempty(__eqx_0) = c_DSequence_Oempty(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-315, plain, ( ( __eqx_0 != __eqy_0) | ( c_DSequence_Ounion(__eqx_0) = c_DSequence_Ounion(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-316, plain, ( ( __eqx_0 != __eqy_0) | ( c_DSequence_Osingle(__eqx_0) = c_DSequence_Osingle(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-317, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Random__Sequence_Oempty(__eqx_0, __eqx_1, __eqx_2) = c_Random__Sequence_Oempty(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-318, plain, ( ( __eqx_0 != __eqy_0) | ( c_Random__Sequence_Osingle(__eqx_0) = c_Random__Sequence_Osingle(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-319, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Random__Sequence_Omap(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Random__Sequence_Omap(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-320, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Random__Sequence_Obind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Random__Sequence_Obind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-321, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OBex(__eqx_0) = c_Set_OBex(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-322, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( c_Partial__Function_Ofun__lub(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = c_Partial__Function_Ofun__lub(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.54/12.76 cnf(matrix-323, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Hilbert__Choice_Oinv__into(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Hilbert__Choice_Oinv__into(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-324, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-325, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Quickcheck_Obeyond(__eqx_0, __eqx_1) = c_Quickcheck_Obeyond(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-326, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Product__Type_Ocurry(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Product__Type_Ocurry(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-327, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Quotient_ORespects(__eqx_0, __eqx_1) = c_Quotient_ORespects(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-328, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Quotient_OBabs(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Quotient_OBabs(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-329, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Lazy__Sequence_Oflat(__eqx_0, __eqx_1) = c_Lazy__Sequence_Oflat(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-330, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Lazy__Sequence_Omap(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Lazy__Sequence_Omap(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-331, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_New__DSequence_Opos__map(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_New__DSequence_Opos__map(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-332, plain, ( ( __eqx_0 != __eqy_0) | ( c_Rings_Odvd__class_Odvd(__eqx_0) = c_Rings_Odvd__class_Odvd(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-333, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-334, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem2(__eqx_0, __eqx_1, __eqx_2) = skolem2(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-335, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-336, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem4(__eqx_0, __eqx_1, __eqx_2) = skolem4(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-337, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem5(__eqx_0, __eqx_1) = skolem5(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-338, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem6(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem6(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-339, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem7(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem7(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.54/12.76 cnf(matrix-340, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem8(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem8(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.54/12.76 cnf(matrix-341, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem9(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem9(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-342, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem10(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem10(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-343, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem11(__eqx_0, __eqx_1, __eqx_2) = skolem11(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-344, 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)) )).
% 12.54/12.76 cnf(matrix-345, 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)) )).
% 12.54/12.76 cnf(matrix-346, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem14(__eqx_0, __eqx_1, __eqx_2) = skolem14(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-347, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem15(__eqx_0, __eqx_1) = skolem15(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-348, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem16(__eqx_0, __eqx_1) = skolem16(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-349, plain, ( ( __eqx_0 != __eqy_0) | ( skolem17(__eqx_0) = skolem17(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-350, plain, ( ( __eqx_0 != __eqy_0) | ( skolem18(__eqx_0) = skolem18(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-351, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem19(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem19(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-352, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem20(__eqx_0, __eqx_1, __eqx_2) = skolem20(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-353, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem21(__eqx_0, __eqx_1, __eqx_2) = skolem21(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-354, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem22(__eqx_0, __eqx_1, __eqx_2) = skolem22(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-355, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem23(__eqx_0, __eqx_1, __eqx_2) = skolem23(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-356, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem24(__eqx_0, __eqx_1, __eqx_2) = skolem24(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-357, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem25(__eqx_0, __eqx_1, __eqx_2) = skolem25(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-358, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem26(__eqx_0, __eqx_1, __eqx_2) = skolem26(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-359, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem27(__eqx_0, __eqx_1, __eqx_2) = skolem27(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-360, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem28(__eqx_0, __eqx_1, __eqx_2) = skolem28(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-361, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem29(__eqx_0, __eqx_1) = skolem29(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-362, plain, ( ( __eqx_0 != __eqy_0) | ( skolem30(__eqx_0) = skolem30(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-363, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem31(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem31(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-364, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem32(__eqx_0, __eqx_1) = skolem32(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-365, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem33(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem33(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-366, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem34(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem34(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-367, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem35(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem35(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-368, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem36(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem36(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-369, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem37(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem37(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-370, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem38(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem38(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-371, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem39(__eqx_0, __eqx_1, __eqx_2) = skolem39(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-372, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem40(__eqx_0, __eqx_1, __eqx_2) = skolem40(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-373, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem41(__eqx_0, __eqx_1, __eqx_2) = skolem41(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-374, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem42(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem42(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-375, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem43(__eqx_0, __eqx_1, __eqx_2) = skolem43(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-376, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem44(__eqx_0, __eqx_1, __eqx_2) = skolem44(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-377, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem45(__eqx_0, __eqx_1, __eqx_2) = skolem45(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-378, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem46(__eqx_0, __eqx_1, __eqx_2) = skolem46(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-379, plain, ( ( __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) | ( skolem47(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem47(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.54/12.76 cnf(matrix-380, plain, ( ( __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) | ( skolem48(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem48(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.54/12.76 cnf(matrix-381, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem49(__eqx_0, __eqx_1, __eqx_2) = skolem49(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-382, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem50(__eqx_0, __eqx_1) = skolem50(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-383, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem51(__eqx_0, __eqx_1) = skolem51(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-384, plain, ( ( __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) | ( skolem52(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem52(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.54/12.76 cnf(matrix-385, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem53(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem53(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-386, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem54(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem54(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-387, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem55(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem55(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-388, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem56(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem56(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-389, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem57(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem57(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-390, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem58(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem58(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-391, plain, ( ( __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) | ( skolem59(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem59(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.54/12.76 cnf(matrix-392, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem60(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem60(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-393, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem61(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem61(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-394, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem62(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem62(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-395, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem63(__eqx_0, __eqx_1, __eqx_2) = skolem63(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-396, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem64(__eqx_0, __eqx_1, __eqx_2) = skolem64(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-397, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem65(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem65(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-398, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem66(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem66(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-399, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem67(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem67(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-400, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem68(__eqx_0, __eqx_1) = skolem68(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-401, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem69(__eqx_0, __eqx_1) = skolem69(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-402, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem70(__eqx_0, __eqx_1) = skolem70(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-403, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem71(__eqx_0, __eqx_1) = skolem71(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-404, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem72(__eqx_0, __eqx_1) = skolem72(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-405, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem73(__eqx_0, __eqx_1, __eqx_2) = skolem73(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-406, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem74(__eqx_0, __eqx_1, __eqx_2) = skolem74(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-407, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem75(__eqx_0, __eqx_1, __eqx_2) = skolem75(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-408, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem76(__eqx_0, __eqx_1, __eqx_2) = skolem76(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-409, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem77(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem77(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-410, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem78(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem78(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-411, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem79(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem79(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-412, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem80(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem80(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-413, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem81(__eqx_0, __eqx_1, __eqx_2) = skolem81(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-414, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem82(__eqx_0, __eqx_1) = skolem82(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-415, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem83(__eqx_0, __eqx_1) = skolem83(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-416, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem84(__eqx_0, __eqx_1, __eqx_2) = skolem84(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-417, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem85(__eqx_0, __eqx_1, __eqx_2) = skolem85(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-418, plain, ( ( __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) | ( skolem86(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem86(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.54/12.76 cnf(matrix-419, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem87(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem87(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-420, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem88(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem88(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-421, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem89(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem89(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-422, plain, ( ( __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) | ( skolem90(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem90(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.54/12.76 cnf(matrix-423, plain, ( ( __eqx_0 != __eqy_0) | ( skolem91(__eqx_0) = skolem91(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-424, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem92(__eqx_0, __eqx_1) = skolem92(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-425, plain, ( ( __eqx_0 != __eqy_0) | ( skolem93(__eqx_0) = skolem93(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-426, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem94(__eqx_0, __eqx_1) = skolem94(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-427, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem95(__eqx_0, __eqx_1) = skolem95(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-428, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem96(__eqx_0, __eqx_1, __eqx_2) = skolem96(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-429, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem97(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem97(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-430, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem98(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem98(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-431, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem99(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem99(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-432, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem100(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem100(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-433, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem101(__eqx_0, __eqx_1) = skolem101(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-434, plain, ( ( __eqx_0 != __eqy_0) | ( skolem102(__eqx_0) = skolem102(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-435, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem103(__eqx_0, __eqx_1, __eqx_2) = skolem103(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-436, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem104(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem104(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-437, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem105(__eqx_0, __eqx_1) = skolem105(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-438, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem106(__eqx_0, __eqx_1, __eqx_2) = skolem106(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-439, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem107(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem107(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-440, 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)) )).
% 12.54/12.76 cnf(matrix-441, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem109(__eqx_0, __eqx_1, __eqx_2) = skolem109(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-442, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem110(__eqx_0, __eqx_1, __eqx_2) = skolem110(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-443, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem111(__eqx_0, __eqx_1, __eqx_2) = skolem111(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-444, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem112(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem112(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-445, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem113(__eqx_0, __eqx_1) = skolem113(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-446, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem114(__eqx_0, __eqx_1) = skolem114(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-447, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem115(__eqx_0, __eqx_1) = skolem115(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-448, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem116(__eqx_0, __eqx_1) = skolem116(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-449, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem117(__eqx_0, __eqx_1) = skolem117(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-450, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem118(__eqx_0, __eqx_1) = skolem118(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-451, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem119(__eqx_0, __eqx_1) = skolem119(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-452, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem120(__eqx_0, __eqx_1) = skolem120(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-453, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem121(__eqx_0, __eqx_1, __eqx_2) = skolem121(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-454, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem122(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem122(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-455, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem123(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem123(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-456, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem124(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem124(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-457, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem125(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem125(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-458, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem126(__eqx_0, __eqx_1, __eqx_2) = skolem126(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-459, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem127(__eqx_0, __eqx_1, __eqx_2) = skolem127(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-460, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem128(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem128(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-461, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem129(__eqx_0, __eqx_1) = skolem129(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-462, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem130(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem130(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-463, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem131(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem131(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-464, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem132(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem132(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-465, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem133(__eqx_0, __eqx_1, __eqx_2) = skolem133(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-466, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem134(__eqx_0, __eqx_1, __eqx_2) = skolem134(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-467, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem135(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem135(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-468, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem136(__eqx_0, __eqx_1, __eqx_2) = skolem136(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-469, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem137(__eqx_0, __eqx_1, __eqx_2) = skolem137(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-470, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem138(__eqx_0, __eqx_1, __eqx_2) = skolem138(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-471, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem139(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem139(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-472, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem140(__eqx_0, __eqx_1) = skolem140(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-473, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem141(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem141(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.54/12.76 cnf(matrix-474, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem142(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem142(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-475, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem143(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem143(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-476, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem144(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem144(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-477, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem145(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem145(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-478, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem146(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem146(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-479, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem147(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem147(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-480, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem148(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem148(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-481, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem149(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem149(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-482, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem150(__eqx_0, __eqx_1) = skolem150(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-483, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem151(__eqx_0, __eqx_1) = skolem151(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-484, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem152(__eqx_0, __eqx_1) = skolem152(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-485, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem153(__eqx_0, __eqx_1) = skolem153(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-486, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem154(__eqx_0, __eqx_1) = skolem154(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-487, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem155(__eqx_0, __eqx_1) = skolem155(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-488, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem156(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem156(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-489, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem157(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem157(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-490, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem158(__eqx_0, __eqx_1, __eqx_2) = skolem158(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-491, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem159(__eqx_0, __eqx_1, __eqx_2) = skolem159(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-492, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem160(__eqx_0, __eqx_1, __eqx_2) = skolem160(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-493, 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)) )).
% 12.54/12.76 cnf(matrix-494, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem162(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem162(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-495, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem163(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem163(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-496, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem164(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem164(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-497, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem165(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem165(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-498, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem166(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem166(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-499, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem167(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem167(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-500, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem168(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem168(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-501, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem169(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem169(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-502, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem170(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem170(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-503, 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)) )).
% 12.54/12.76 cnf(matrix-504, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem172(__eqx_0, __eqx_1, __eqx_2) = skolem172(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-505, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem173(__eqx_0, __eqx_1, __eqx_2) = skolem173(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-506, plain, ( ( __eqx_0 != __eqy_0) | ( skolem174(__eqx_0) = skolem174(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-507, plain, ( ( __eqx_0 != __eqy_0) | ( skolem175(__eqx_0) = skolem175(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-508, plain, ( ( __eqx_0 != __eqy_0) | ( skolem176(__eqx_0) = skolem176(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-509, plain, ( ( __eqx_0 != __eqy_0) | ( skolem177(__eqx_0) = skolem177(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-510, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem178(__eqx_0, __eqx_1) = skolem178(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-511, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem179(__eqx_0, __eqx_1) = skolem179(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-512, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem180(__eqx_0, __eqx_1, __eqx_2) = skolem180(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-513, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem181(__eqx_0, __eqx_1, __eqx_2) = skolem181(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-514, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem182(__eqx_0, __eqx_1, __eqx_2) = skolem182(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-515, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem183(__eqx_0, __eqx_1, __eqx_2) = skolem183(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-516, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem184(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem184(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-517, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem185(__eqx_0, __eqx_1, __eqx_2) = skolem185(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-518, 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)) )).
% 12.54/12.76 cnf(matrix-519, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem187(__eqx_0, __eqx_1, __eqx_2) = skolem187(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-520, 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)) )).
% 12.54/12.76 cnf(matrix-521, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem189(__eqx_0, __eqx_1) = skolem189(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-522, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem190(__eqx_0, __eqx_1, __eqx_2) = skolem190(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-523, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem191(__eqx_0, __eqx_1, __eqx_2) = skolem191(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-524, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem192(__eqx_0, __eqx_1, __eqx_2) = skolem192(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-525, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem193(__eqx_0, __eqx_1, __eqx_2) = skolem193(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-526, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem194(__eqx_0, __eqx_1, __eqx_2) = skolem194(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-527, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem195(__eqx_0, __eqx_1, __eqx_2) = skolem195(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-528, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem196(__eqx_0, __eqx_1, __eqx_2) = skolem196(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-529, plain, ( ( __eqx_0 != __eqy_0) | ( skolem197(__eqx_0) = skolem197(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-530, plain, ( ( __eqx_0 != __eqy_0) | ( skolem198(__eqx_0) = skolem198(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-531, plain, ( ( __eqx_0 != __eqy_0) | ( skolem199(__eqx_0) = skolem199(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-532, plain, ( ( __eqx_0 != __eqy_0) | ( skolem200(__eqx_0) = skolem200(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-533, plain, ( ( __eqx_0 != __eqy_0) | ( skolem201(__eqx_0) = skolem201(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-534, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem202(__eqx_0, __eqx_1) = skolem202(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-535, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem203(__eqx_0, __eqx_1) = skolem203(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-536, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem204(__eqx_0, __eqx_1, __eqx_2) = skolem204(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-537, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem205(__eqx_0, __eqx_1, __eqx_2) = skolem205(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-538, plain, ( ( __eqx_0 != __eqy_0) | ( skolem206(__eqx_0) = skolem206(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-539, plain, ( ( __eqx_0 != __eqy_0) | ( skolem207(__eqx_0) = skolem207(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-540, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem208(__eqx_0, __eqx_1, __eqx_2) = skolem208(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-541, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem209(__eqx_0, __eqx_1, __eqx_2) = skolem209(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-542, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem210(__eqx_0, __eqx_1, __eqx_2) = skolem210(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-543, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem211(__eqx_0, __eqx_1, __eqx_2) = skolem211(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-544, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem212(__eqx_0, __eqx_1, __eqx_2) = skolem212(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-545, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem213(__eqx_0, __eqx_1, __eqx_2) = skolem213(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-546, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem214(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem214(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-547, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem215(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem215(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-548, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem216(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem216(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-549, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem217(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem217(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-550, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem218(__eqx_0, __eqx_1, __eqx_2) = skolem218(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-551, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem219(__eqx_0, __eqx_1, __eqx_2) = skolem219(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-552, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem220(__eqx_0, __eqx_1, __eqx_2) = skolem220(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-553, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem221(__eqx_0, __eqx_1, __eqx_2) = skolem221(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-554, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem222(__eqx_0, __eqx_1, __eqx_2) = skolem222(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-555, 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)) )).
% 12.54/12.76 cnf(matrix-556, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem224(__eqx_0, __eqx_1, __eqx_2) = skolem224(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-557, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem225(__eqx_0, __eqx_1) = skolem225(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-558, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem226(__eqx_0, __eqx_1) = skolem226(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-559, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem227(__eqx_0, __eqx_1) = skolem227(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-560, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem228(__eqx_0, __eqx_1) = skolem228(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-561, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem229(__eqx_0, __eqx_1, __eqx_2) = skolem229(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-562, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem230(__eqx_0, __eqx_1, __eqx_2) = skolem230(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-563, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem231(__eqx_0, __eqx_1, __eqx_2) = skolem231(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-564, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem232(__eqx_0, __eqx_1, __eqx_2) = skolem232(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-565, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem233(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem233(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-566, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem234(__eqx_0, __eqx_1, __eqx_2) = skolem234(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-567, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem235(__eqx_0, __eqx_1, __eqx_2) = skolem235(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-568, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem236(__eqx_0, __eqx_1) = skolem236(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-569, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem237(__eqx_0, __eqx_1) = skolem237(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-570, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem238(__eqx_0, __eqx_1) = skolem238(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-571, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem239(__eqx_0, __eqx_1) = skolem239(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-572, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem240(__eqx_0, __eqx_1, __eqx_2) = skolem240(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-573, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem241(__eqx_0, __eqx_1, __eqx_2) = skolem241(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-574, 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)) )).
% 12.54/12.76 cnf(matrix-575, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem243(__eqx_0, __eqx_1, __eqx_2) = skolem243(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-576, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem244(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem244(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-577, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem245(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem245(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-578, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem246(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem246(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-579, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem247(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem247(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-580, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem248(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem248(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-581, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem249(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem249(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-582, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem250(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem250(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-583, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem251(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem251(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-584, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem252(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem252(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-585, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem253(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem253(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-586, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem254(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem254(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-587, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem255(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem255(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-588, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem256(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem256(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-589, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem257(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem257(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-590, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem258(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem258(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-591, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( 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)) )).
% 12.54/12.76 cnf(matrix-592, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem260(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem260(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.54/12.76 cnf(matrix-593, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem261(__eqx_0, __eqx_1) = skolem261(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-594, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem262(__eqx_0, __eqx_1, __eqx_2) = skolem262(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-595, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem263(__eqx_0, __eqx_1, __eqx_2) = skolem263(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-596, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem264(__eqx_0, __eqx_1, __eqx_2) = skolem264(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-597, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem265(__eqx_0, __eqx_1, __eqx_2) = skolem265(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-598, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem266(__eqx_0, __eqx_1, __eqx_2) = skolem266(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-599, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem267(__eqx_0, __eqx_1, __eqx_2) = skolem267(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-600, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem268(__eqx_0, __eqx_1, __eqx_2) = skolem268(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-601, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem269(__eqx_0, __eqx_1, __eqx_2) = skolem269(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-602, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem270(__eqx_0, __eqx_1, __eqx_2) = skolem270(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-603, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem271(__eqx_0, __eqx_1, __eqx_2) = skolem271(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-604, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem272(__eqx_0, __eqx_1, __eqx_2) = skolem272(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-605, 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)) )).
% 12.54/12.76 cnf(matrix-606, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem274(__eqx_0, __eqx_1, __eqx_2) = skolem274(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-607, 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)) )).
% 12.54/12.76 cnf(matrix-608, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem276(__eqx_0, __eqx_1, __eqx_2) = skolem276(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-609, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem277(__eqx_0, __eqx_1, __eqx_2) = skolem277(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-610, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem278(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem278(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.54/12.76 cnf(matrix-611, 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)) )).
% 12.54/12.76 cnf(matrix-612, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem280(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem280(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-613, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem281(__eqx_0, __eqx_1, __eqx_2) = skolem281(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-614, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem282(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem282(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.54/12.76 cnf(matrix-615, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem283(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem283(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-616, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem284(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem284(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.54/12.76 cnf(matrix-617, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem285(__eqx_0, __eqx_1, __eqx_2) = skolem285(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-618, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem286(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem286(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-619, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem287(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem287(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-620, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem288(__eqx_0, __eqx_1) = skolem288(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-621, plain, ( ( __eqx_0 != __eqy_0) | ( skolem289(__eqx_0) = skolem289(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-622, plain, ( ( __eqx_0 != __eqy_0) | ( skolem290(__eqx_0) = skolem290(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-623, 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)) )).
% 12.54/12.76 cnf(matrix-624, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem292(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem292(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-625, plain, ( ( __eqx_0 != __eqy_0) | ( skolem293(__eqx_0) = skolem293(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-626, plain, ( ( __eqx_0 != __eqy_0) | ( skolem294(__eqx_0) = skolem294(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-627, plain, ( ( __eqx_0 != __eqy_0) | ( skolem295(__eqx_0) = skolem295(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-628, plain, ( ( __eqx_0 != __eqy_0) | ( skolem296(__eqx_0) = skolem296(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-629, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem297(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem297(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.54/12.76 cnf(matrix-630, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem298(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem298(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.54/12.76 cnf(matrix-631, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( __eqx_8 != __eqy_8) | ( __eqx_9 != __eqy_9) | ( __eqx_10 != __eqy_10) | ( skolem299(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7, __eqx_8, __eqx_9, __eqx_10) = skolem299(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7, __eqy_8, __eqy_9, __eqy_10)) )).
% 12.54/12.76 cnf(matrix-632, plain, ( ( __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) | ( skolem300(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7, __eqx_8, __eqx_9, __eqx_10) = skolem300(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7, __eqy_8, __eqy_9, __eqy_10)) )).
% 12.54/12.76 cnf(matrix-633, plain, ( ( __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) | ( skolem301(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem301(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.54/12.76 cnf(matrix-634, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem302(__eqx_0, __eqx_1, __eqx_2) = skolem302(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-635, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem303(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem303(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-636, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem304(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem304(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-637, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem305(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem305(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-638, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem306(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem306(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-639, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem307(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem307(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-640, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem308(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem308(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-641, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem309(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem309(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 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) | ( skolem310(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem310(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.54/12.76 cnf(matrix-643, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem311(__eqx_0, __eqx_1) = skolem311(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-644, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem312(__eqx_0, __eqx_1) = skolem312(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-645, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem313(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem313(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-646, 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)) )).
% 12.54/12.76 cnf(matrix-647, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem315(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem315(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-648, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem316(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem316(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-649, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem317(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem317(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-650, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem318(__eqx_0, __eqx_1) = skolem318(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-651, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem319(__eqx_0, __eqx_1, __eqx_2) = skolem319(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-652, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem320(__eqx_0, __eqx_1) = skolem320(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-653, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem321(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem321(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-654, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem322(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem322(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-655, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem323(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem323(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-656, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem324(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem324(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-657, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem325(__eqx_0, __eqx_1) = skolem325(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-658, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem326(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem326(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-659, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem327(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem327(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-660, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem328(__eqx_0, __eqx_1) = skolem328(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-661, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem329(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem329(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-662, 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)) )).
% 12.54/12.76 cnf(matrix-663, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem331(__eqx_0, __eqx_1) = skolem331(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-664, plain, ( ( __eqx_0 != __eqy_0) | ( skolem332(__eqx_0) = skolem332(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-665, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem333(__eqx_0, __eqx_1) = skolem333(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-666, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem334(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem334(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-667, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem335(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem335(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.54/12.76 cnf(matrix-668, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem336(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem336(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.54/12.76 cnf(matrix-669, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem337(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem337(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.54/12.76 cnf(matrix-670, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem338(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem338(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-671, 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)) )).
% 12.54/12.76 cnf(matrix-672, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem340(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem340(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-673, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem341(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem341(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-674, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem342(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem342(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.54/12.76 cnf(matrix-675, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem343(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem343(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.54/12.76 cnf(matrix-676, 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)) )).
% 12.54/12.76 cnf(matrix-677, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem345(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem345(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.54/12.76 cnf(matrix-678, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem346(__eqx_0, __eqx_1, __eqx_2) = skolem346(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-679, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem347(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem347(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-680, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem348(__eqx_0, __eqx_1, __eqx_2) = skolem348(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-681, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem349(__eqx_0, __eqx_1, __eqx_2) = skolem349(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-682, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem350(__eqx_0, __eqx_1) = skolem350(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-683, plain, ( ( __eqx_0 != __eqy_0) | ( skolem351(__eqx_0) = skolem351(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-684, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem352(__eqx_0, __eqx_1, __eqx_2) = skolem352(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-685, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem353(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem353(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-686, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem354(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem354(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-687, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem355(__eqx_0, __eqx_1) = skolem355(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-688, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem356(__eqx_0, __eqx_1, __eqx_2) = skolem356(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-689, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem357(__eqx_0, __eqx_1, __eqx_2) = skolem357(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-690, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem358(__eqx_0, __eqx_1, __eqx_2) = skolem358(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-691, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem359(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem359(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.54/12.76 cnf(matrix-692, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem360(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem360(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.54/12.76 cnf(matrix-693, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem361(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem361(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.54/12.76 cnf(matrix-694, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem362(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem362(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.54/12.76 cnf(matrix-695, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem363(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem363(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.54/12.76 cnf(matrix-696, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem364(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem364(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.54/12.76 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) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem365(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem365(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.54/12.76 cnf(matrix-698, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem366(__eqx_0, __eqx_1) = skolem366(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-699, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem367(__eqx_0, __eqx_1) = skolem367(__eqy_0, __eqy_1)) )).
% 12.54/12.76 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) | ( skolem368(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem368(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.54/12.76 cnf(matrix-701, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem369(__eqx_0, __eqx_1, __eqx_2) = skolem369(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-702, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem370(__eqx_0, __eqx_1, __eqx_2) = skolem370(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-703, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem371(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem371(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-704, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem372(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem372(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-705, 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)) )).
% 12.54/12.76 cnf(matrix-706, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem374(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem374(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.54/12.76 cnf(matrix-707, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem375(__eqx_0, __eqx_1, __eqx_2) = skolem375(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-708, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem376(__eqx_0, __eqx_1) = skolem376(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-709, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem377(__eqx_0, __eqx_1) = skolem377(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-710, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem378(__eqx_0, __eqx_1, __eqx_2) = skolem378(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-711, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem379(__eqx_0, __eqx_1) = skolem379(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-712, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem380(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem380(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-713, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem381(__eqx_0, __eqx_1, __eqx_2) = skolem381(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-714, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem382(__eqx_0, __eqx_1, __eqx_2) = skolem382(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-715, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem383(__eqx_0, __eqx_1, __eqx_2) = skolem383(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-716, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem384(__eqx_0, __eqx_1, __eqx_2) = skolem384(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-717, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem385(__eqx_0, __eqx_1, __eqx_2) = skolem385(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-718, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem386(__eqx_0, __eqx_1) = skolem386(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-719, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem387(__eqx_0, __eqx_1, __eqx_2) = skolem387(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-720, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem388(__eqx_0, __eqx_1, __eqx_2) = skolem388(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-721, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem389(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem389(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-722, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem390(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem390(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-723, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem391(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem391(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-724, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem392(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem392(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-725, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem393(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem393(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-726, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem394(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem394(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-727, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem395(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem395(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-728, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem396(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem396(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-729, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem397(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem397(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-730, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem398(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem398(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-731, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem399(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem399(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-732, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem400(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem400(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-733, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem401(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem401(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-734, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem402(__eqx_0, __eqx_1) = skolem402(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-735, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem403(__eqx_0, __eqx_1) = skolem403(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-736, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem404(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem404(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-737, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem405(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem405(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-738, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem406(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem406(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.54/12.76 cnf(matrix-739, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem407(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem407(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.54/12.76 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) | ( skolem408(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem408(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.54/12.76 cnf(matrix-741, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem409(__eqx_0, __eqx_1) = skolem409(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-742, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem410(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem410(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-743, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem411(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem411(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-744, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem412(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem412(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-745, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem413(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem413(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-746, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem414(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem414(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-747, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem415(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem415(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-748, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem416(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem416(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-749, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem417(__eqx_0, __eqx_1, __eqx_2) = skolem417(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-750, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem418(__eqx_0, __eqx_1, __eqx_2) = skolem418(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-751, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem419(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem419(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-752, 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)) )).
% 12.54/12.76 cnf(matrix-753, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem421(__eqx_0, __eqx_1, __eqx_2) = skolem421(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-754, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem422(__eqx_0, __eqx_1, __eqx_2) = skolem422(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-755, 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)) )).
% 12.54/12.76 cnf(matrix-756, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem424(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem424(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-757, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem425(__eqx_0, __eqx_1, __eqx_2) = skolem425(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-758, plain, ( ( __eqx_0 != __eqy_0) | ( skolem426(__eqx_0) = skolem426(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-759, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem427(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem427(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-760, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem428(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem428(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-761, 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)) )).
% 12.54/12.76 cnf(matrix-762, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem430(__eqx_0, __eqx_1) = skolem430(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-763, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem431(__eqx_0, __eqx_1) = skolem431(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-764, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem432(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem432(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-765, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem433(__eqx_0, __eqx_1, __eqx_2) = skolem433(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-766, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem434(__eqx_0, __eqx_1, __eqx_2) = skolem434(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-767, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem435(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem435(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-768, 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)) )).
% 12.54/12.76 cnf(matrix-769, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem437(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem437(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-770, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem438(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem438(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-771, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem439(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem439(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-772, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem440(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem440(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-773, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem441(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem441(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-774, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem442(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem442(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-775, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem443(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem443(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-776, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem444(__eqx_0, __eqx_1) = skolem444(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-777, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem445(__eqx_0, __eqx_1, __eqx_2) = skolem445(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-778, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem446(__eqx_0, __eqx_1, __eqx_2) = skolem446(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-779, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem447(__eqx_0, __eqx_1, __eqx_2) = skolem447(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-780, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem448(__eqx_0, __eqx_1, __eqx_2) = skolem448(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-781, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem449(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem449(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-782, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem450(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem450(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-783, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem451(__eqx_0, __eqx_1, __eqx_2) = skolem451(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-784, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem452(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem452(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-785, 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)) )).
% 12.54/12.76 cnf(matrix-786, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem454(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem454(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-787, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem455(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem455(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-788, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem456(__eqx_0, __eqx_1) = skolem456(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-789, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem457(__eqx_0, __eqx_1) = skolem457(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-790, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem458(__eqx_0, __eqx_1, __eqx_2) = skolem458(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-791, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem459(__eqx_0, __eqx_1, __eqx_2) = skolem459(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-792, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem460(__eqx_0, __eqx_1, __eqx_2) = skolem460(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-793, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem461(__eqx_0, __eqx_1, __eqx_2) = skolem461(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-794, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem462(__eqx_0, __eqx_1) = skolem462(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-795, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem463(__eqx_0, __eqx_1, __eqx_2) = skolem463(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-796, 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)) )).
% 12.54/12.76 cnf(matrix-797, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem465(__eqx_0, __eqx_1, __eqx_2) = skolem465(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-798, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem466(__eqx_0, __eqx_1, __eqx_2) = skolem466(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-799, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem467(__eqx_0, __eqx_1, __eqx_2) = skolem467(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-800, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem468(__eqx_0, __eqx_1) = skolem468(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-801, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem469(__eqx_0, __eqx_1) = skolem469(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-802, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem470(__eqx_0, __eqx_1, __eqx_2) = skolem470(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-803, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem471(__eqx_0, __eqx_1, __eqx_2) = skolem471(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-804, 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)) )).
% 12.54/12.76 cnf(matrix-805, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem473(__eqx_0, __eqx_1) = skolem473(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-806, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem474(__eqx_0, __eqx_1) = skolem474(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-807, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem475(__eqx_0, __eqx_1, __eqx_2) = skolem475(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-808, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem476(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem476(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-809, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem477(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem477(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-810, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem478(__eqx_0, __eqx_1) = skolem478(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-811, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem479(__eqx_0, __eqx_1) = skolem479(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-812, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem480(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem480(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-813, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem481(__eqx_0, __eqx_1) = skolem481(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-814, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem482(__eqx_0, __eqx_1) = skolem482(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-815, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem483(__eqx_0, __eqx_1) = skolem483(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-816, plain, ( ( __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) | ( skolem484(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem484(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.54/12.76 cnf(matrix-817, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem485(__eqx_0, __eqx_1) = skolem485(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-818, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem486(__eqx_0, __eqx_1) = skolem486(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-819, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem487(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem487(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-820, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem488(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem488(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-821, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem489(__eqx_0, __eqx_1) = skolem489(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-822, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem490(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem490(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-823, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem491(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem491(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-824, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem492(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem492(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-825, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem493(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem493(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-826, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem494(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem494(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.54/12.76 cnf(matrix-827, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem495(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem495(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-828, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem496(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem496(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-829, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem497(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem497(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.54/12.76 cnf(matrix-830, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem498(__eqx_0, __eqx_1) = skolem498(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-831, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem499(__eqx_0, __eqx_1) = skolem499(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-832, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem500(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem500(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-833, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem501(__eqx_0, __eqx_1, __eqx_2) = skolem501(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-834, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem502(__eqx_0, __eqx_1, __eqx_2) = skolem502(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-835, 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)) )).
% 12.54/12.76 cnf(matrix-836, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem504(__eqx_0, __eqx_1, __eqx_2) = skolem504(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-837, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem505(__eqx_0, __eqx_1, __eqx_2) = skolem505(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-838, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem506(__eqx_0, __eqx_1, __eqx_2) = skolem506(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-839, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem507(__eqx_0, __eqx_1, __eqx_2) = skolem507(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-840, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem508(__eqx_0, __eqx_1, __eqx_2) = skolem508(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-841, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem509(__eqx_0, __eqx_1, __eqx_2) = skolem509(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-842, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem510(__eqx_0, __eqx_1, __eqx_2) = skolem510(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-843, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem511(__eqx_0, __eqx_1, __eqx_2) = skolem511(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-844, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem512(__eqx_0, __eqx_1, __eqx_2) = skolem512(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-845, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem513(__eqx_0, __eqx_1, __eqx_2) = skolem513(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-846, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem514(__eqx_0, __eqx_1, __eqx_2) = skolem514(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-847, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem515(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem515(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-848, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem516(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem516(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-849, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem517(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem517(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-850, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem518(__eqx_0, __eqx_1, __eqx_2) = skolem518(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-851, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem519(__eqx_0, __eqx_1, __eqx_2) = skolem519(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-852, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem520(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem520(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-853, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem521(__eqx_0, __eqx_1, __eqx_2) = skolem521(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-854, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem522(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem522(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-855, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem523(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem523(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-856, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem524(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem524(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-857, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem525(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem525(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-858, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem526(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem526(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-859, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem527(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem527(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-860, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem528(__eqx_0, __eqx_1, __eqx_2) = skolem528(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-861, plain, ( ( __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) | ( skolem529(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem529(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.54/12.76 cnf(matrix-862, plain, ( ( __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) | ( skolem530(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem530(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.54/12.76 cnf(matrix-863, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem531(__eqx_0, __eqx_1) = skolem531(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-864, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem532(__eqx_0, __eqx_1, __eqx_2) = skolem532(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-865, plain, ( ( __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) | ( skolem533(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem533(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.54/12.76 cnf(matrix-866, plain, ( ( __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) | ( skolem534(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem534(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.54/12.76 cnf(matrix-867, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem535(__eqx_0, __eqx_1) = skolem535(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-868, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem536(__eqx_0, __eqx_1) = skolem536(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-869, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem537(__eqx_0, __eqx_1) = skolem537(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-870, plain, ( ( __eqx_0 != __eqy_0) | ( skolem538(__eqx_0) = skolem538(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-871, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem539(__eqx_0, __eqx_1) = skolem539(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-872, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem540(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem540(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-873, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem541(__eqx_0, __eqx_1, __eqx_2) = skolem541(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-874, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem542(__eqx_0, __eqx_1, __eqx_2) = skolem542(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-875, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem543(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem543(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-876, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem544(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem544(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-877, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem545(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem545(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-878, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem546(__eqx_0, __eqx_1) = skolem546(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-879, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem547(__eqx_0, __eqx_1) = skolem547(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-880, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem548(__eqx_0, __eqx_1) = skolem548(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-881, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem549(__eqx_0, __eqx_1) = skolem549(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-882, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem550(__eqx_0, __eqx_1) = skolem550(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-883, plain, ( ( __eqx_0 != __eqy_0) | ( skolem551(__eqx_0) = skolem551(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-884, plain, ( ( __eqx_0 != __eqy_0) | ( skolem552(__eqx_0) = skolem552(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-885, plain, ( ( __eqx_0 != __eqy_0) | ( skolem553(__eqx_0) = skolem553(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-886, plain, ( ( __eqx_0 != __eqy_0) | ( skolem554(__eqx_0) = skolem554(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-887, plain, ( ( __eqx_0 != __eqy_0) | ( skolem555(__eqx_0) = skolem555(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-888, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem556(__eqx_0, __eqx_1) = skolem556(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-889, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem557(__eqx_0, __eqx_1) = skolem557(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-890, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem558(__eqx_0, __eqx_1, __eqx_2) = skolem558(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-891, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem559(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem559(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-892, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem560(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem560(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.54/12.76 cnf(matrix-893, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem561(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem561(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.54/12.76 cnf(matrix-894, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem562(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem562(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.54/12.76 cnf(matrix-895, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem563(__eqx_0, __eqx_1) = skolem563(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-896, plain, ( ( __eqx_0 != __eqy_0) | ( skolem564(__eqx_0) = skolem564(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-897, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem565(__eqx_0, __eqx_1) = skolem565(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-898, plain, ( ( __eqx_0 != __eqy_0) | ( skolem566(__eqx_0) = skolem566(__eqy_0)) )).
% 12.54/12.76 cnf(matrix-899, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem567(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem567(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-900, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem568(__eqx_0, __eqx_1) = skolem568(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-901, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem569(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem569(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.54/12.76 cnf(matrix-902, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem570(__eqx_0, __eqx_1) = skolem570(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-903, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem571(__eqx_0, __eqx_1) = skolem571(__eqy_0, __eqy_1)) )).
% 12.54/12.76 cnf(matrix-904, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem572(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem572(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-905, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem573(__eqx_0, __eqx_1, __eqx_2) = skolem573(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-906, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem574(__eqx_0, __eqx_1, __eqx_2) = skolem574(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-907, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem575(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem575(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-908, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem576(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem576(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-909, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem577(__eqx_0, __eqx_1, __eqx_2) = skolem577(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-910, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem578(__eqx_0, __eqx_1, __eqx_2) = skolem578(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-911, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem579(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem579(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.54/12.76 cnf(matrix-912, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem580(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem580(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.54/12.76 cnf(matrix-913, plain, ( ( __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) | ( skolem581(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem581(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.54/12.76 cnf(matrix-914, plain, ( ( __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) | ( skolem582(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem582(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.54/12.76 cnf(matrix-915, plain, ( ( __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) | ( skolem583(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem583(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.54/12.76 cnf(matrix-916, plain, ( ( __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) | ( skolem584(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem584(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.54/12.76 cnf(matrix-917, plain, ( ( __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) | ( skolem585(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem585(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.54/12.76 cnf(matrix-918, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem586(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem586(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.54/12.76 cnf(matrix-919, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem587(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem587(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.54/12.76 cnf(matrix-920, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem588(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem588(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.54/12.76 cnf(matrix-921, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem589(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem589(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.54/12.76 cnf(matrix-922, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem590(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem590(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.54/12.76 cnf(matrix-923, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem591(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem591(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-924, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem592(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem592(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.54/12.76 cnf(matrix-925, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem593(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem593(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.54/12.76 cnf(matrix-926, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem594(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem594(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.54/12.76 cnf(matrix-927, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem595(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem595(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.54/12.76 cnf(matrix-928, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem596(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem596(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.54/12.76 cnf(matrix-929, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem597(__eqx_0, __eqx_1, __eqx_2) = skolem597(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-930, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem598(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem598(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.54/12.76 cnf(matrix-931, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem599(__eqx_0, __eqx_1, __eqx_2) = skolem599(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-932, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem600(__eqx_0, __eqx_1, __eqx_2) = skolem600(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.54/12.76 cnf(matrix-933, plain, ( ( __eqx_0 != __eqy_0) | ~hBOOL(__eqx_0) | hBOOL(__eqy_0) )).
% 12.54/12.76 cnf(matrix-934, plain, ( ( __eqx_0 != __eqy_0) | ~class_HOL_Oequal(__eqx_0) | class_HOL_Oequal(__eqy_0) )).
% 12.54/12.76 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) )).
% 12.54/12.76 cnf(matrix-936, plain, ( ( __eqx_0 != __eqy_0) | ~class_Complete__Lattice_Ocomplete__lattice(__eqx_0) | class_Complete__Lattice_Ocomplete__lattice(__eqy_0) )).
% 12.54/12.76 cnf(matrix-937, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Opreorder(__eqx_0) | class_Orderings_Opreorder(__eqy_0) )).
% 12.54/12.76 cnf(matrix-938, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Otop(__eqx_0) | class_Orderings_Otop(__eqy_0) )).
% 12.54/12.76 cnf(matrix-939, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Obot(__eqx_0) | class_Orderings_Obot(__eqy_0) )).
% 12.54/12.76 cnf(matrix-940, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oord(__eqx_0) | class_Orderings_Oord(__eqy_0) )).
% 12.54/12.76 cnf(matrix-941, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Olinorder(__eqx_0) | class_Orderings_Olinorder(__eqy_0) )).
% 12.54/12.76 cnf(matrix-942, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oorder(__eqx_0) | class_Orderings_Oorder(__eqy_0) )).
% 12.54/12.76 cnf(matrix-943, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Olattice(__eqx_0) | class_Lattices_Olattice(__eqy_0) )).
% 12.54/12.76 cnf(matrix-944, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ominus(__eqx_0) | class_Groups_Ominus(__eqy_0) )).
% 12.54/12.76 cnf(matrix-945, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice__top(__eqx_0) | class_Lattices_Obounded__lattice__top(__eqy_0) )).
% 12.54/12.76 cnf(matrix-946, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Osemilattice__sup(__eqx_0) | class_Lattices_Osemilattice__sup(__eqy_0) )).
% 12.54/12.76 cnf(matrix-947, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Osemilattice__inf(__eqx_0) | class_Lattices_Osemilattice__inf(__eqy_0) )).
% 12.54/12.76 cnf(matrix-948, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice__bot(__eqx_0) | class_Lattices_Obounded__lattice__bot(__eqy_0) )).
% 12.54/12.76 cnf(matrix-949, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Odistrib__lattice(__eqx_0) | class_Lattices_Odistrib__lattice(__eqy_0) )).
% 12.54/12.76 cnf(matrix-950, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__group__add(__eqx_0) | class_Groups_Oordered__ab__group__add(__eqy_0) )).
% 12.54/12.76 cnf(matrix-951, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ~c_Nitpick_Ofold__graph_H(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) | c_Nitpick_Ofold__graph_H(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5) )).
% 12.54/12.76 cnf(matrix-952, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__group__add(__eqx_0) | class_Groups_Oab__group__add(__eqy_0) )).
% 12.54/12.76 cnf(matrix-953, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oboolean__algebra(__eqx_0) | class_Lattices_Oboolean__algebra(__eqy_0) )).
% 12.54/12.76 cnf(matrix-954, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ogroup__add(__eqx_0) | class_Groups_Ogroup__add(__eqy_0) )).
% 12.54/12.76 cnf(matrix-955, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ouminus(__eqx_0) | class_Groups_Ouminus(__eqy_0) )).
% 12.54/12.76 cnf(matrix-956, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__semigroup__mult(__eqx_0) | class_Groups_Oab__semigroup__mult(__eqy_0) )).
% 12.54/12.76 cnf(matrix-957, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Finite__Set_Ofolding__one(__eqx_0, __eqx_1, __eqx_2) | c_Finite__Set_Ofolding__one(__eqy_0, __eqy_1, __eqy_2) )).
% 12.54/12.76 cnf(matrix-958, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Finite__Set_Ofun__left__comm(__eqx_0, __eqx_1, __eqx_2) | c_Finite__Set_Ofun__left__comm(__eqy_0, __eqy_1, __eqy_2) )).
% 12.54/12.76 cnf(matrix-959, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__idom(__eqx_0) | class_Rings_Olinordered__idom(__eqy_0) )).
% 12.54/12.76 cnf(matrix-960, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oab__semigroup__idem__mult(__eqx_0) | class_Lattices_Oab__semigroup__idem__mult(__eqy_0) )).
% 12.54/12.76 cnf(matrix-961, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring(__eqx_0) | class_Rings_Oring(__eqy_0) )).
% 12.54/12.76 cnf(matrix-962, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oidom(__eqx_0) | class_Rings_Oidom(__eqy_0) )).
% 12.54/12.76 cnf(matrix-963, plain, ( ( __eqx_0 != __eqy_0) | ~class_Finite__Set_Ofinite(__eqx_0) | class_Finite__Set_Ofinite(__eqy_0) )).
% 12.54/12.76 cnf(matrix-964, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ~c_Finite__Set_Ofolding__image__simple(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) | c_Finite__Set_Ofolding__image__simple(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5) )).
% 12.54/12.76 cnf(matrix-965, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Finite__Set_Ofolding__one__idem(__eqx_0, __eqx_1, __eqx_2) | c_Finite__Set_Ofolding__one__idem(__eqy_0, __eqy_1, __eqy_2) )).
% 12.54/12.76 cnf(matrix-966, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Big__Operators_Osemilattice__big(__eqx_0, __eqx_1, __eqx_2) | c_Big__Operators_Osemilattice__big(__eqy_0, __eqy_1, __eqy_2) )).
% 12.54/12.76 cnf(matrix-967, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Finite__Set_Ofun__left__comm__idem(__eqx_0, __eqx_1, __eqx_2) | c_Finite__Set_Ofun__left__comm__idem(__eqy_0, __eqy_1, __eqy_2) )).
% 12.54/12.76 cnf(matrix-968, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocomm__monoid__mult(__eqx_0) | class_Groups_Ocomm__monoid__mult(__eqy_0) )).
% 12.54/12.76 cnf(matrix-969, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocomm__monoid__add(__eqx_0) | class_Groups_Ocomm__monoid__add(__eqy_0) )).
% 12.54/12.76 cnf(matrix-970, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__cancel__ab__semigroup__add(__eqx_0) | class_Groups_Oordered__cancel__ab__semigroup__add(__eqy_0) )).
% 12.54/12.76 cnf(matrix-971, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ~c_Finite__Set_Ofolding__image__simple__idem(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) | c_Finite__Set_Ofolding__image__simple__idem(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5) )).
% 12.54/12.76 cnf(matrix-972, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__semigroup__add(__eqx_0) | class_Groups_Oab__semigroup__add(__eqy_0) )).
% 12.54/12.76 cnf(matrix-973, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__semigroup__add(__eqx_0) | class_Groups_Ocancel__semigroup__add(__eqy_0) )).
% 12.54/12.76 cnf(matrix-974, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__ab__semigroup__add(__eqx_0) | class_Groups_Ocancel__ab__semigroup__add(__eqy_0) )).
% 12.54/12.76 cnf(matrix-975, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__semigroup__add__imp__le(__eqx_0) | class_Groups_Oordered__ab__semigroup__add__imp__le(__eqy_0) )).
% 12.54/12.76 cnf(matrix-976, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__semigroup__add(__eqx_0) | class_Groups_Oordered__ab__semigroup__add(__eqy_0) )).
% 12.54/12.76 cnf(matrix-977, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring(__eqx_0) | class_Rings_Osemiring(__eqy_0) )).
% 12.54/12.76 cnf(matrix-978, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring(__eqx_0) | class_Rings_Ocomm__semiring(__eqy_0) )).
% 12.54/12.76 cnf(matrix-979, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__ring(__eqx_0) | class_Rings_Oordered__ring(__eqy_0) )).
% 12.54/12.76 cnf(matrix-980, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__ring__1(__eqx_0) | class_Rings_Ocomm__ring__1(__eqy_0) )).
% 12.54/12.76 cnf(matrix-981, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring__1(__eqx_0) | class_Rings_Ocomm__semiring__1(__eqy_0) )).
% 12.54/12.76 cnf(matrix-982, plain, ( ( __eqx_0 != __eqy_0) | ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(__eqx_0) | class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(__eqy_0) )).
% 12.54/12.76 cnf(matrix-983, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oone(__eqx_0) | class_Groups_Oone(__eqy_0) )).
% 12.54/12.76 cnf(matrix-984, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Omonoid__mult(__eqx_0) | class_Groups_Omonoid__mult(__eqy_0) )).
% 12.54/12.76 cnf(matrix-985, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semidom(__eqx_0) | class_Rings_Olinordered__semidom(__eqy_0) )).
% 12.54/12.76 cnf(matrix-986, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__1__no__zero__divisors(__eqx_0) | class_Rings_Oring__1__no__zero__divisors(__eqy_0) )).
% 12.54/12.76 cnf(matrix-987, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__1__strict(__eqx_0) | class_Rings_Olinordered__semiring__1__strict(__eqy_0) )).
% 12.54/12.76 cnf(matrix-988, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ozero(__eqx_0) | class_Groups_Ozero(__eqy_0) )).
% 12.54/12.76 cnf(matrix-989, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Omonoid__add(__eqx_0) | class_Groups_Omonoid__add(__eqy_0) )).
% 12.54/12.76 cnf(matrix-990, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Olinordered__ab__group__add(__eqx_0) | class_Groups_Olinordered__ab__group__add(__eqy_0) )).
% 12.54/12.76 cnf(matrix-991, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ono__zero__divisors(__eqx_0) | class_Rings_Ono__zero__divisors(__eqy_0) )).
% 12.54/12.76 cnf(matrix-992, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__no__zero__divisors(__eqx_0) | class_Rings_Oring__no__zero__divisors(__eqy_0) )).
% 12.54/12.76 cnf(matrix-993, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Omult__zero(__eqx_0) | class_Rings_Omult__zero(__eqy_0) )).
% 12.54/12.76 cnf(matrix-994, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ozero__neq__one(__eqx_0) | class_Rings_Ozero__neq__one(__eqy_0) )).
% 12.54/12.76 cnf(matrix-995, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__comm__monoid__add(__eqx_0) | class_Groups_Oordered__comm__monoid__add(__eqy_0) )).
% 12.54/12.76 cnf(matrix-996, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__cancel__semiring(__eqx_0) | class_Rings_Oordered__cancel__semiring(__eqy_0) )).
% 12.54/12.76 cnf(matrix-997, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__semiring(__eqx_0) | class_Rings_Oordered__semiring(__eqy_0) )).
% 12.54/12.76 cnf(matrix-998, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__comm__semiring(__eqx_0) | class_Rings_Oordered__comm__semiring(__eqy_0) )).
% 12.54/12.76 cnf(matrix-999, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__ring__strict(__eqx_0) | class_Rings_Olinordered__ring__strict(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1000, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__ring(__eqx_0) | class_Rings_Olinordered__ring(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1001, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__comm__semiring__strict(__eqx_0) | class_Rings_Olinordered__comm__semiring__strict(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1002, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__strict(__eqx_0) | class_Rings_Olinordered__semiring__strict(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1003, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring(__eqx_0) | class_Rings_Olinordered__semiring(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1004, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__1(__eqx_0) | class_Rings_Olinordered__semiring__1(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1005, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~c_Big__Operators_Ocomm__monoid__big(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | c_Big__Operators_Ocomm__monoid__big(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 12.54/12.76 cnf(matrix-1006, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__1(__eqx_0) | class_Rings_Oring__1(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1007, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Oring__char__0(__eqx_0) | class_Int_Oring__char__0(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1008, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Ofield(__eqx_0) | class_Fields_Ofield(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1009, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odivision__ring(__eqx_0) | class_Rings_Odivision__ring(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1010, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odivision__ring__inverse__zero(__eqx_0) | class_Rings_Odivision__ring__inverse__zero(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1011, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Osgn__if(__eqx_0) | class_Groups_Osgn__if(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1012, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Olinordered__field__inverse__zero(__eqx_0) | class_Fields_Olinordered__field__inverse__zero(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1013, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Olinordered__field(__eqx_0) | class_Fields_Olinordered__field(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1014, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Ofield__inverse__zero(__eqx_0) | class_Fields_Ofield__inverse__zero(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1015, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Onumber__ring(__eqx_0) | class_Int_Onumber__ring(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1016, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Onumber(__eqx_0) | class_Int_Onumber(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1017, plain, ( ( __eqx_0 != __eqy_0) | ~class_Power_Opower(__eqx_0) | class_Power_Opower(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1018, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring__0(__eqx_0) | class_Rings_Osemiring__0(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1019, plain, ( ( __eqx_0 != __eqy_0) | ~class_Nat_Osemiring__char__0(__eqx_0) | class_Nat_Osemiring__char__0(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1020, plain, ( ( __eqx_0 != __eqy_0) | ~class_Divides_Osemiring__div(__eqx_0) | class_Divides_Osemiring__div(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1021, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring__1(__eqx_0) | class_Rings_Osemiring__1(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1022, plain, ( ( __eqx_0 != __eqy_0) | ~class_Divides_Oring__div(__eqx_0) | class_Divides_Oring__div(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1023, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Nat__Transfer_Otransfer__morphism(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Nat__Transfer_Otransfer__morphism(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.54/12.76 cnf(matrix-1024, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nat__Transfer_Ois__nat(__eqx_0) | c_Nat__Transfer_Ois__nat(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1025, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nat__Transfer_Onat__set(__eqx_0) | c_Nat__Transfer_Onat__set(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1026, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__group__add__abs(__eqx_0) | class_Groups_Oordered__ab__group__add__abs(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1027, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__ring__abs(__eqx_0) | class_Rings_Oordered__ring__abs(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1028, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oabs__if(__eqx_0) | class_Groups_Oabs__if(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1029, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Int_Oiszero(__eqx_0, __eqx_1) | c_Int_Oiszero(__eqy_0, __eqy_1) )).
% 12.54/12.76 cnf(matrix-1030, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Nitpick_Orefl_H(__eqx_0, __eqx_1) | c_Nitpick_Orefl_H(__eqy_0, __eqy_1) )).
% 12.54/12.76 cnf(matrix-1031, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Olinordered__ab__semigroup__add(__eqx_0) | class_Groups_Olinordered__ab__semigroup__add(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1032, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Wellfounded_Omax__extp(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Wellfounded_Omax__extp(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.54/12.76 cnf(matrix-1033, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_FunDef_Oreduction__pair(__eqx_0, __eqx_1) | c_FunDef_Oreduction__pair(__eqy_0, __eqy_1) )).
% 12.54/12.76 cnf(matrix-1034, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Oirrefl(__eqx_0, __eqx_1) | c_Relation_Oirrefl(__eqy_0, __eqy_1) )).
% 12.54/12.76 cnf(matrix-1035, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Equiv__Relations_Oequiv(__eqx_0, __eqx_1, __eqx_2) | c_Equiv__Relations_Oequiv(__eqy_0, __eqy_1, __eqy_2) )).
% 12.54/12.76 cnf(matrix-1036, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Equiv__Relations_Ocongruent(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Equiv__Relations_Ocongruent(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.54/12.76 cnf(matrix-1037, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ~c_Equiv__Relations_Ocongruent2(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) | c_Equiv__Relations_Ocongruent2(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5) )).
% 12.54/12.76 cnf(matrix-1038, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Equiv__Relations_Oequivp(__eqx_0, __eqx_1) | c_Equiv__Relations_Oequivp(__eqy_0, __eqy_1) )).
% 12.54/12.76 cnf(matrix-1039, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Fun_Oinj__on(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Fun_Oinj__on(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.54/12.76 cnf(matrix-1040, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_Owf(__eqx_0, __eqx_1) | c_Wellfounded_Owf(__eqy_0, __eqy_1) )).
% 12.54/12.76 cnf(matrix-1041, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Owellorder(__eqx_0) | class_Orderings_Owellorder(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1042, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_OwfP(__eqx_0, __eqx_1) | c_Wellfounded_OwfP(__eqy_0, __eqy_1) )).
% 12.54/12.76 cnf(matrix-1043, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_Oacyclic(__eqx_0, __eqx_1) | c_Wellfounded_Oacyclic(__eqy_0, __eqy_1) )).
% 12.54/12.76 cnf(matrix-1044, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Nitpick_Owf_H(__eqx_0, __eqx_1) | c_Nitpick_Owf_H(__eqy_0, __eqy_1) )).
% 12.54/12.76 cnf(matrix-1045, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nitpick_Ounknown(__eqx_0) | c_Nitpick_Ounknown(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1046, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Relation_Orefl__on(__eqx_0, __eqx_1, __eqx_2) | c_Relation_Orefl__on(__eqy_0, __eqy_1, __eqy_2) )).
% 12.54/12.76 cnf(matrix-1047, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Predicate_Oreflp(__eqx_0, __eqx_1) | c_Predicate_Oreflp(__eqy_0, __eqy_1) )).
% 12.54/12.76 cnf(matrix-1048, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Finite__Set_Ofolding(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Finite__Set_Ofolding(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.54/12.76 cnf(matrix-1049, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~c_Finite__Set_Ofolding__image(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | c_Finite__Set_Ofolding__image(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 12.54/12.76 cnf(matrix-1050, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Finite__Set_Ofolding__idem(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Finite__Set_Ofolding__idem(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.54/12.76 cnf(matrix-1051, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Relation_Osingle__valued(__eqx_0, __eqx_1, __eqx_2) | c_Relation_Osingle__valued(__eqy_0, __eqy_1, __eqy_2) )).
% 12.54/12.76 cnf(matrix-1052, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Relation_Ototal__on(__eqx_0, __eqx_1, __eqx_2) | c_Relation_Ototal__on(__eqy_0, __eqy_1, __eqy_2) )).
% 12.54/12.76 cnf(matrix-1053, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oinverse(__eqx_0) | class_Rings_Oinverse(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1054, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Nitpick_Oless__frac(__eqx_0, __eqx_1, __eqx_2) | c_Nitpick_Oless__frac(__eqy_0, __eqy_1, __eqy_2) )).
% 12.54/12.76 cnf(matrix-1055, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Nitpick_Oless__eq__frac(__eqx_0, __eqx_1, __eqx_2) | c_Nitpick_Oless__eq__frac(__eqy_0, __eqy_1, __eqy_2) )).
% 12.54/12.76 cnf(matrix-1056, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_List_Olistrelp(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_List_Olistrelp(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.54/12.76 cnf(matrix-1057, plain, ( ( __eqx_0 != __eqy_0) | ~c_List_Onat__list(__eqx_0) | c_List_Onat__list(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1058, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Osemigroup__add(__eqx_0) | class_Groups_Osemigroup__add(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1059, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~c_List_Olist__all2(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | c_List_Olist__all2(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 12.54/12.76 cnf(matrix-1060, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_List_Olinorder__class_Osorted(__eqx_0, __eqx_1) | c_List_Olinorder__class_Osorted(__eqy_0, __eqy_1) )).
% 12.54/12.76 cnf(matrix-1061, plain, ( ( __eqx_0 != __eqy_0) | ~class_Enum_Oenum(__eqx_0) | class_Enum_Oenum(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1062, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_List_Olist__ex(__eqx_0, __eqx_1, __eqx_2) | c_List_Olist__ex(__eqy_0, __eqy_1, __eqy_2) )).
% 12.54/12.76 cnf(matrix-1063, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_List_Olist__all(__eqx_0, __eqx_1, __eqx_2) | c_List_Olist__all(__eqy_0, __eqy_1, __eqy_2) )).
% 12.54/12.76 cnf(matrix-1064, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_FunDef_Ois__measure(__eqx_0, __eqx_1) | c_FunDef_Ois__measure(__eqy_0, __eqy_1) )).
% 12.54/12.76 cnf(matrix-1065, plain, ( ( __eqx_0 != __eqy_0) | ~class_Nat_Osize(__eqx_0) | class_Nat_Osize(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1066, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_List_Olist__ex1(__eqx_0, __eqx_1, __eqx_2) | c_List_Olist__ex1(__eqy_0, __eqy_1, __eqy_2) )).
% 12.54/12.76 cnf(matrix-1067, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lazy__Sequence_Osmall__lazy(__eqx_0) | class_Lazy__Sequence_Osmall__lazy(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1068, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_List_Oall__interval__int(__eqx_0, __eqx_1, __eqx_2) | c_List_Oall__interval__int(__eqy_0, __eqy_1, __eqy_2) )).
% 12.54/12.76 cnf(matrix-1069, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Otrans(__eqx_0, __eqx_1) | c_Relation_Otrans(__eqy_0, __eqy_1) )).
% 12.54/12.76 cnf(matrix-1070, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Predicate_Otransp(__eqx_0, __eqx_1) | c_Predicate_Otransp(__eqy_0, __eqy_1) )).
% 12.54/12.76 cnf(matrix-1071, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Predicate_Osymp(__eqx_0, __eqx_1) | c_Predicate_Osymp(__eqy_0, __eqy_1) )).
% 12.54/12.76 cnf(matrix-1072, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Oantisym(__eqx_0, __eqx_1) | c_Relation_Oantisym(__eqy_0, __eqy_1) )).
% 12.54/12.76 cnf(matrix-1073, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Osym(__eqx_0, __eqx_1) | c_Relation_Osym(__eqy_0, __eqy_1) )).
% 12.54/12.76 cnf(matrix-1074, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Equiv__Relations_Opart__equivp(__eqx_0, __eqx_1) | c_Equiv__Relations_Opart__equivp(__eqy_0, __eqy_1) )).
% 12.54/12.76 cnf(matrix-1075, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~c_Fun_Obij__betw(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | c_Fun_Obij__betw(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 12.54/12.76 cnf(matrix-1076, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_List_Oall__interval__nat(__eqx_0, __eqx_1, __eqx_2) | c_List_Oall__interval__nat(__eqy_0, __eqy_1, __eqy_2) )).
% 12.54/12.76 cnf(matrix-1077, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odvd(__eqx_0) | class_Rings_Odvd(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1078, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__ring(__eqx_0) | class_Rings_Ocomm__ring(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1079, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice(__eqx_0) | class_Lattices_Obounded__lattice(__eqy_0) )).
% 12.54/12.76 cnf(matrix-1080, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~v_Q_H(__eqx_0, __eqx_1) | v_Q_H(__eqy_0, __eqy_1) )).
% 12.54/12.76 cnf(matrix-1081, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~v_Q(__eqx_0, __eqx_1) | v_Q(__eqy_0, __eqy_1) )).
% 12.54/12.76 cnf(matrix-1082, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~v_P(__eqx_0, __eqx_1) | v_P(__eqy_0, __eqy_1) )).
% 12.54/12.76 cnf(matrix-1083, plain, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 12.54/12.76 cnf(matrix-1084, plain, ( ( _u8 = _u10) | ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Hoare__Mirabelle_Otriple(_u6)), _u8), _u10)) )).
% 12.54/12.76 cnf(matrix-1085, plain, ( ( _u9 != _u11) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Hoare__Mirabelle_Otriple(_u7)), _u9), _u11)) )).
% 12.54/12.76 cnf(matrix-1086, plain, ( ( _u17 = _u19) | ( hAPP(c_Hoare__Mirabelle_ORep__triple(_u15), _u17) != hAPP(c_Hoare__Mirabelle_ORep__triple(_u15), _u19)) )).
% 12.54/12.76 cnf(matrix-1087, plain, ( ( _u18 != _u20) | ( hAPP(c_Hoare__Mirabelle_ORep__triple(_u16), _u18) = hAPP(c_Hoare__Mirabelle_ORep__triple(_u16), _u20)) )).
% 12.54/12.76 cnf(matrix-1088, plain, ( ~class_HOL_Oequal(_u21) | ( c_HOL_Oequal__class_Oequal(_u21) = c_fequal) )).
% 12.54/12.76 cnf(matrix-1089, plain, ( ~class_HOL_Oequal(_u22) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(_u22), _u23), _u23)) )).
% 12.54/12.76 cnf(matrix-1090, plain, ( ~class_HOL_Oequal(_u24) | ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(_u24), _u25), _u26)) | ( _u25 = _u26) )).
% 12.54/12.76 cnf(matrix-1091, plain, ( ~class_HOL_Oequal(_u24) | ( _u25 != _u26) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(_u24), _u25), _u26)) )).
% 12.54/12.76 cnf(matrix-1092, plain, ( ~class_HOL_Oequal(_u27) | ( c_fequal = c_HOL_Oequal__class_Oequal(_u27)) )).
% 12.54/12.76 cnf(matrix-1093, plain, ( ( hAPP(c_Hoare__Mirabelle_OAbs__triple(_u28), hAPP(c_Hoare__Mirabelle_ORep__triple(_u28), _u29)) = _u29) )).
% 12.54/12.76 cnf(matrix-1094, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u30, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u30)), tc_HOL_Obool)), hAPP(c_Hoare__Mirabelle_ORep__triple(_u30), _u31)), hAPP(c_Set_OCollect(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u30, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u30)), tc_HOL_Obool)), c_Hoare__Mirabelle_Otriple_Otriple__rep__set(_u30)))) )).
% 12.54/12.76 cnf(matrix-1095, plain, ( c_Typedef_Otype__definition(tc_Hoare__Mirabelle_Otriple(_u32), tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u32, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u32)), tc_HOL_Obool), c_Hoare__Mirabelle_ORep__triple(_u32), c_Hoare__Mirabelle_OAbs__triple(_u32), hAPP(c_Set_OCollect(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u32, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u32)), tc_HOL_Obool)), c_Hoare__Mirabelle_Otriple_Otriple__rep__set(_u32))) )).
% 12.54/12.76 cnf(matrix-1096, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u33, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u33)), tc_HOL_Obool)), _u34), hAPP(c_Set_OCollect(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u33, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u33)), tc_HOL_Obool)), c_Hoare__Mirabelle_Otriple_Otriple__rep__set(_u33)))) | ( hAPP(c_Hoare__Mirabelle_ORep__triple(_u33), hAPP(c_Hoare__Mirabelle_OAbs__triple(_u33), _u34)) = _u34) )).
% 12.54/12.76 cnf(matrix-1097, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u35)), tc_HOL_Obool)), _u36), hAPP(c_Set_OCollect(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u35)), tc_HOL_Obool)), c_Hoare__Mirabelle_Otriple_Otriple__rep__set(_u35)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u35)), tc_HOL_Obool)), _u37), hAPP(c_Set_OCollect(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u35)), tc_HOL_Obool)), c_Hoare__Mirabelle_Otriple_Otriple__rep__set(_u35)))) | ( hAPP(c_Hoare__Mirabelle_OAbs__triple(_u35), _u36) != hAPP(c_Hoare__Mirabelle_OAbs__triple(_u35), _u37)) | ( _u36 = _u37) )).
% 12.54/12.76 cnf(matrix-1098, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u35)), tc_HOL_Obool)), _u36), hAPP(c_Set_OCollect(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u35)), tc_HOL_Obool)), c_Hoare__Mirabelle_Otriple_Otriple__rep__set(_u35)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u35)), tc_HOL_Obool)), _u37), hAPP(c_Set_OCollect(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u35)), tc_HOL_Obool)), c_Hoare__Mirabelle_Otriple_Otriple__rep__set(_u35)))) | ( _u36 != _u37) | ( hAPP(c_Hoare__Mirabelle_OAbs__triple(_u35), _u36) = hAPP(c_Hoare__Mirabelle_OAbs__triple(_u35), _u37)) )).
% 12.54/12.76 cnf(matrix-1099, plain, ( ( _u38 != _u39) | hBOOL(hAPP(hAPP(c_member(_u40), _u41), _u38)) | ~hBOOL(hAPP(hAPP(c_member(_u40), _u41), _u39)) )).
% 12.54/12.76 cnf(matrix-1100, plain, ( ( _u38 != _u39) | hBOOL(hAPP(hAPP(c_member(_u40), _u41), _u39)) | ~hBOOL(hAPP(hAPP(c_member(_u40), _u41), _u38)) )).
% 12.54/12.76 cnf(matrix-1101, plain, ( ~c_Typedef_Otype__definition(_u42, _u43, _u44, _u45, _u46) | ~hBOOL(hAPP(hAPP(c_member(_u43), _u47), _u46)) | ~hBOOL(hAPP(hAPP(c_member(_u43), _u48), _u46)) | ( hAPP(_u45, _u47) != hAPP(_u45, _u48)) | ( _u47 = _u48) )).
% 12.54/12.76 cnf(matrix-1102, plain, ( ~c_Typedef_Otype__definition(_u42, _u43, _u44, _u45, _u46) | ~hBOOL(hAPP(hAPP(c_member(_u43), _u47), _u46)) | ~hBOOL(hAPP(hAPP(c_member(_u43), _u48), _u46)) | ( _u47 != _u48) | ( hAPP(_u45, _u47) = hAPP(_u45, _u48)) )).
% 12.54/12.76 cnf(matrix-1103, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u50), _u54), _u53)) | ( hAPP(_u51, hAPP(_u52, _u54)) = _u54) | ~c_Typedef_Otype__definition(_u49, _u50, _u51, _u52, _u53) )).
% 12.54/12.76 cnf(matrix-1104, plain, ( hBOOL(hAPP(hAPP(c_member(_u56), hAPP(_u57, _u60)), _u59)) | ~c_Typedef_Otype__definition(_u55, _u56, _u57, _u58, _u59) )).
% 12.54/12.76 cnf(matrix-1105, plain, ( hBOOL(hAPP(_u63, _u64)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u62, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u62)), tc_HOL_Obool)), skolem2(_u64, _u63, _u62)), hAPP(c_Set_OCollect(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u62, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u62)), tc_HOL_Obool)), c_Hoare__Mirabelle_Otriple_Otriple__rep__set(_u62)))) )).
% 12.54/12.76 cnf(matrix-1106, plain, ( hBOOL(hAPP(_u63, _u64)) | ~hBOOL(hAPP(_u63, hAPP(c_Hoare__Mirabelle_OAbs__triple(_u62), skolem2(_u64, _u63, _u62)))) )).
% 12.54/12.76 cnf(matrix-1107, plain, ( ( _u66 = hAPP(c_Hoare__Mirabelle_OAbs__triple(_u67), skolem3(_u67, _u66))) )).
% 12.54/12.76 cnf(matrix-1108, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u67, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u67)), tc_HOL_Obool)), skolem3(_u67, _u66)), hAPP(c_Set_OCollect(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u67, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u67)), tc_HOL_Obool)), c_Hoare__Mirabelle_Otriple_Otriple__rep__set(_u67)))) )).
% 12.54/12.76 cnf(matrix-1109, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u69, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u69)), tc_HOL_Obool)), _u70), hAPP(c_Set_OCollect(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u69, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u69)), tc_HOL_Obool)), c_Hoare__Mirabelle_Otriple_Otriple__rep__set(_u69)))) | ~hBOOL(hAPP(_u71, hAPP(c_Hoare__Mirabelle_ORep__triple(_u69), skolem4(_u71, _u70, _u69)))) | hBOOL(hAPP(_u71, _u70)) )).
% 12.54/12.76 cnf(matrix-1110, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u73, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u73)), tc_HOL_Obool)), _u74), hAPP(c_Set_OCollect(tc_fun(tc_Datatype_Onode(tc_sum(tc_Com_Ocom, tc_fun(_u73, tc_fun(tc_Com_Ostate, tc_HOL_Obool))), tc_sum(tc_Com_Ostate, _u73)), tc_HOL_Obool)), c_Hoare__Mirabelle_Otriple_Otriple__rep__set(_u73)))) | ( _u74 = hAPP(c_Hoare__Mirabelle_ORep__triple(_u73), skolem5(_u74, _u73))) )).
% 12.54/12.76 cnf(matrix-1111, plain, ( ~c_Typedef_Otype__definition(_u75, _u76, _u77, _u78, _u79) | ( hAPP(_u77, _u80) != hAPP(_u77, _u81)) | ( _u80 = _u81) )).
% 12.54/12.76 cnf(matrix-1112, plain, ( ~c_Typedef_Otype__definition(_u75, _u76, _u77, _u78, _u79) | ( _u80 != _u81) | ( hAPP(_u77, _u80) = hAPP(_u77, _u81)) )).
% 12.54/12.76 cnf(matrix-1113, plain, ( ( hAPP(_u85, hAPP(_u84, _u87)) = _u87) | ~c_Typedef_Otype__definition(_u82, _u83, _u84, _u85, _u86) )).
% 12.54/12.76 cnf(matrix-1114, plain, ( ( hAPP(c_Set_OCollect(_u88), _u89) = _u89) )).
% 12.54/12.76 cnf(matrix-1115, plain, ( ( _u90 != _u91) | ~hBOOL(hAPP(hAPP(c_member(_u92), _u91), _u93)) | hBOOL(hAPP(hAPP(c_member(_u92), _u90), _u93)) )).
% 12.54/12.76 cnf(matrix-1116, plain, ( hBOOL(hAPP(_u101, _u99)) | ~hBOOL(hAPP(hAPP(c_member(_u97), _u99), _u101)) )).
% 12.54/12.76 cnf(matrix-1117, plain, ( ~hBOOL(hAPP(_u102, _u100)) | hBOOL(hAPP(hAPP(c_member(_u98), _u100), _u102)) )).
% 12.54/12.76 cnf(matrix-1118, plain, ( ( _u103 != _u104) | ~hBOOL(hAPP(hAPP(c_member(_u105), _u106), _u103)) | hBOOL(hAPP(hAPP(c_member(_u105), _u106), _u104)) )).
% 12.54/12.76 cnf(matrix-1119, plain, ( ( _u103 != _u104) | ~hBOOL(hAPP(hAPP(c_member(_u105), _u106), _u104)) | hBOOL(hAPP(hAPP(c_member(_u105), _u106), _u103)) )).
% 12.54/12.76 cnf(matrix-1120, plain, ( ( _u107 != _u108) | ~hBOOL(hAPP(hAPP(c_member(_u109), _u107), _u110)) | hBOOL(hAPP(hAPP(c_member(_u109), _u108), _u110)) )).
% 12.54/12.76 cnf(matrix-1121, plain, ( ( _u107 != _u108) | ~hBOOL(hAPP(hAPP(c_member(_u109), _u108), _u110)) | hBOOL(hAPP(hAPP(c_member(_u109), _u107), _u110)) )).
% 12.54/12.76 cnf(matrix-1122, plain, ( ( _u116 = _u118) | ~hBOOL(hAPP(hAPP(c_member(_u114), _u116), hAPP(c_fequal, _u118))) )).
% 12.54/12.76 cnf(matrix-1123, plain, ( ( _u117 != _u119) | hBOOL(hAPP(hAPP(c_member(_u115), _u117), hAPP(c_fequal, _u119))) )).
% 12.54/12.76 cnf(matrix-1124, plain, ( ~c_Typedef_Otype__definition(_u121, _u122, _u123, _u124, _u125) | ( _u126 = hAPP(_u124, skolem6(_u126, _u125, _u124, _u123, _u122))) )).
% 12.54/12.76 cnf(matrix-1125, plain, ( ~c_Typedef_Otype__definition(_u121, _u122, _u123, _u124, _u125) | hBOOL(hAPP(hAPP(c_member(_u122), skolem6(_u126, _u125, _u124, _u123, _u122)), _u125)) )).
% 12.54/12.76 cnf(matrix-1126, plain, ( ~c_Typedef_Otype__definition(_u128, _u129, _u130, _u131, _u132) | hBOOL(hAPP(_u133, _u134)) | hBOOL(hAPP(hAPP(c_member(_u129), skolem7(_u134, _u133, _u132, _u131, _u130, _u129)), _u132)) )).
% 12.54/12.76 cnf(matrix-1127, plain, ( ~c_Typedef_Otype__definition(_u128, _u129, _u130, _u131, _u132) | hBOOL(hAPP(_u133, _u134)) | ~hBOOL(hAPP(_u133, hAPP(_u131, skolem7(_u134, _u133, _u132, _u131, _u130, _u129)))) )).
% 12.54/12.76 cnf(matrix-1128, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u137), _u141), _u140)) | ~hBOOL(hAPP(_u142, hAPP(_u138, skolem8(_u142, _u141, _u140, _u139, _u138, _u137)))) | hBOOL(hAPP(_u142, _u141)) | ~c_Typedef_Otype__definition(_u136, _u137, _u138, _u139, _u140) )).
% 12.54/12.76 cnf(matrix-1129, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u145), _u149), _u148)) | ( _u149 = hAPP(_u146, skolem9(_u149, _u148, _u147, _u146, _u145))) | ~c_Typedef_Otype__definition(_u144, _u145, _u146, _u147, _u148) )).
% 12.54/12.76 cnf(matrix-1130, plain, ( ~c_HOL_Oinduct__false )).
% 12.54/12.76 cnf(matrix-1131, plain, ( hBOOL(hAPP(hAPP(_u158, _u156), _u160)) | ~hBOOL(hAPP(hAPP(c_member(_u154), _u156), c_SetInterval_Oord_OatMost(_u154, _u158, _u160))) )).
% 12.54/12.76 cnf(matrix-1132, plain, ( ~hBOOL(hAPP(hAPP(_u159, _u157), _u161)) | hBOOL(hAPP(hAPP(c_member(_u155), _u157), c_SetInterval_Oord_OatMost(_u155, _u159, _u161))) )).
% 12.54/12.76 cnf(matrix-1133, plain, ( hBOOL(hAPP(hAPP(_u170, _u172), _u168)) | ~hBOOL(hAPP(hAPP(c_member(_u166), _u168), c_SetInterval_Oord_OatLeast(_u166, _u170, _u172))) )).
% 12.54/12.76 cnf(matrix-1134, plain, ( ~hBOOL(hAPP(hAPP(_u171, _u173), _u169)) | hBOOL(hAPP(hAPP(c_member(_u167), _u169), c_SetInterval_Oord_OatLeast(_u167, _u171, _u173))) )).
% 12.54/12.76 cnf(matrix-1135, plain, ( hBOOL(hAPP(hAPP(_u182, _u180), _u184)) | ~hBOOL(hAPP(hAPP(c_member(_u178), _u180), c_SetInterval_Oord_OlessThan(_u178, _u182, _u184))) )).
% 12.54/12.76 cnf(matrix-1136, plain, ( ~hBOOL(hAPP(hAPP(_u183, _u181), _u185)) | hBOOL(hAPP(hAPP(c_member(_u179), _u181), c_SetInterval_Oord_OlessThan(_u179, _u183, _u185))) )).
% 12.54/12.76 cnf(matrix-1137, plain, ( hBOOL(hAPP(hAPP(_u194, _u196), _u192)) | ~hBOOL(hAPP(hAPP(c_member(_u190), _u192), c_SetInterval_Oord_OgreaterThan(_u190, _u194, _u196))) )).
% 12.54/12.76 cnf(matrix-1138, plain, ( ~hBOOL(hAPP(hAPP(_u195, _u197), _u193)) | hBOOL(hAPP(hAPP(c_member(_u191), _u193), c_SetInterval_Oord_OgreaterThan(_u191, _u195, _u197))) )).
% 12.54/12.76 cnf(matrix-1139, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u203), _u205), c_SetInterval_Oord_OatLeastAtMost(_u203, _u207, _u209, _u211))) | hBOOL(hAPP(hAPP(_u207, _u209), _u205)) )).
% 12.54/12.76 cnf(matrix-1140, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u203), _u205), c_SetInterval_Oord_OatLeastAtMost(_u203, _u207, _u209, _u211))) | hBOOL(hAPP(hAPP(_u207, _u205), _u211)) )).
% 12.54/12.76 cnf(matrix-1141, plain, ( ~hBOOL(hAPP(hAPP(_u208, _u210), _u206)) | ~hBOOL(hAPP(hAPP(_u208, _u206), _u212)) | hBOOL(hAPP(hAPP(c_member(_u204), _u206), c_SetInterval_Oord_OatLeastAtMost(_u204, _u208, _u210, _u212))) )).
% 12.54/12.76 cnf(matrix-1142, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u218), _u220), c_SetInterval_Oord_OgreaterThanLessThan(_u218, _u222, _u224, _u226))) | hBOOL(hAPP(hAPP(_u222, _u224), _u220)) )).
% 12.54/12.76 cnf(matrix-1143, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u218), _u220), c_SetInterval_Oord_OgreaterThanLessThan(_u218, _u222, _u224, _u226))) | hBOOL(hAPP(hAPP(_u222, _u220), _u226)) )).
% 12.54/12.76 cnf(matrix-1144, plain, ( ~hBOOL(hAPP(hAPP(_u223, _u225), _u221)) | ~hBOOL(hAPP(hAPP(_u223, _u221), _u227)) | hBOOL(hAPP(hAPP(c_member(_u219), _u221), c_SetInterval_Oord_OgreaterThanLessThan(_u219, _u223, _u225, _u227))) )).
% 12.54/12.76 cnf(matrix-1145, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u234), _u236), c_SetInterval_Oord_OgreaterThanAtMost(_u234, _u238, _u240, _u242, _u244))) | hBOOL(hAPP(hAPP(_u240, _u242), _u236)) )).
% 12.54/12.76 cnf(matrix-1146, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u234), _u236), c_SetInterval_Oord_OgreaterThanAtMost(_u234, _u238, _u240, _u242, _u244))) | hBOOL(hAPP(hAPP(_u238, _u236), _u244)) )).
% 12.54/12.76 cnf(matrix-1147, plain, ( ~hBOOL(hAPP(hAPP(_u241, _u243), _u237)) | ~hBOOL(hAPP(hAPP(_u239, _u237), _u245)) | hBOOL(hAPP(hAPP(c_member(_u235), _u237), c_SetInterval_Oord_OgreaterThanAtMost(_u235, _u239, _u241, _u243, _u245))) )).
% 12.54/12.76 cnf(matrix-1148, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u252), _u254), c_SetInterval_Oord_OatLeastLessThan(_u252, _u256, _u258, _u260, _u262))) | hBOOL(hAPP(hAPP(_u256, _u260), _u254)) )).
% 12.54/12.76 cnf(matrix-1149, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u252), _u254), c_SetInterval_Oord_OatLeastLessThan(_u252, _u256, _u258, _u260, _u262))) | hBOOL(hAPP(hAPP(_u258, _u254), _u262)) )).
% 12.54/12.76 cnf(matrix-1150, plain, ( ~hBOOL(hAPP(hAPP(_u257, _u261), _u255)) | ~hBOOL(hAPP(hAPP(_u259, _u255), _u263)) | hBOOL(hAPP(hAPP(c_member(_u253), _u255), c_SetInterval_Oord_OatLeastLessThan(_u253, _u257, _u259, _u261, _u263))) )).
% 12.54/12.76 cnf(matrix-1151, plain, ( hBOOL(hAPP(_u267, _u268)) | ~hBOOL(hAPP(hAPP(c_member(_u265), _u268), _u266)) | hBOOL(hAPP(hAPP(c_member(_u265), skolem10(_u268, _u267, _u266, _u265)), _u266)) )).
% 12.54/12.76 cnf(matrix-1152, plain, ( hBOOL(hAPP(_u267, _u268)) | ~hBOOL(hAPP(hAPP(c_member(_u265), _u268), _u266)) | ~hBOOL(hAPP(_u267, skolem10(_u268, _u267, _u266, _u265))) )).
% 12.54/12.76 cnf(matrix-1153, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u271), _u269), _u272)) | ~hBOOL(hAPP(_u273, _u269)) | hBOOL(hAPP(hAPP(c_member(_u271), skolem11(_u273, _u272, _u271)), _u272)) )).
% 12.54/12.76 cnf(matrix-1154, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u271), _u269), _u272)) | ~hBOOL(hAPP(_u273, _u269)) | hBOOL(hAPP(_u273, skolem11(_u273, _u272, _u271))) )).
% 12.54/12.76 cnf(matrix-1155, plain, ( ~hBOOL(hAPP(_u275, _u276)) | ~hBOOL(hAPP(hAPP(c_member(_u277), _u276), _u278)) | hBOOL(hAPP(hAPP(c_member(_u277), skolem12(_u278, _u277, _u276, _u275)), _u278)) )).
% 12.54/12.76 cnf(matrix-1156, plain, ( ~hBOOL(hAPP(_u275, _u276)) | ~hBOOL(hAPP(hAPP(c_member(_u277), _u276), _u278)) | hBOOL(hAPP(_u275, skolem12(_u278, _u277, _u276, _u275))) )).
% 12.54/12.76 cnf(matrix-1157, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u279), _u280), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u279, tc_HOL_Obool), _u281))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u279, tc_HOL_Obool)), _u282), _u281)) | hBOOL(hAPP(hAPP(c_member(_u279), _u280), _u282)) )).
% 12.54/12.76 cnf(matrix-1158, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u283), _u284), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u283, tc_HOL_Obool), _u285))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u283, tc_HOL_Obool)), _u286), _u285)) | hBOOL(hAPP(hAPP(c_member(_u283), _u284), _u286)) )).
% 12.54/12.76 cnf(matrix-1159, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u287, tc_HOL_Obool)), _u288), _u289)) | ~hBOOL(hAPP(hAPP(c_member(_u287), _u290), _u288)) | hBOOL(hAPP(hAPP(c_member(_u287), _u290), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u287, tc_HOL_Obool), _u289))) )).
% 12.54/12.76 cnf(matrix-1160, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u291), _u292), c_Orderings_Obot__class_Obot(tc_fun(_u291, tc_HOL_Obool)))) )).
% 12.54/12.76 cnf(matrix-1161, plain, ( hBOOL(hAPP(hAPP(c_member(_u293), _u294), c_Orderings_Otop__class_Otop(tc_fun(_u293, tc_HOL_Obool)))) )).
% 12.54/12.76 cnf(matrix-1162, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u295, tc_HOL_Obool)), _u296), _u297)) | ~hBOOL(hAPP(hAPP(c_member(_u295), _u298), _u296)) | hBOOL(hAPP(hAPP(c_member(_u295), _u298), _u297)) )).
% 12.54/12.76 cnf(matrix-1163, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u299, tc_HOL_Obool)), _u300), _u301)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u299, tc_HOL_Obool)), _u301), _u300)) | ( _u300 = _u301) )).
% 12.54/12.76 cnf(matrix-1164, plain, ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u302, tc_HOL_Obool)), _u303)) )).
% 12.54/12.76 cnf(matrix-1165, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u304, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u304, tc_HOL_Obool))), _u305)) )).
% 12.54/12.76 cnf(matrix-1166, plain, ( ~hBOOL(hAPP(_u307, _u309)) | hBOOL(hAPP(_u308, _u309)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u306, tc_HOL_Obool)), _u307), _u308)) )).
% 12.54/12.76 cnf(matrix-1167, plain, ( ~hBOOL(hAPP(_u310, _u311)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u312, tc_HOL_Obool)), _u310), _u313)) | hBOOL(hAPP(_u313, _u311)) )).
% 12.54/12.76 cnf(matrix-1168, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u314) | ( c_Complete__Lattice_OInf__class_OInf(_u314, c_Orderings_Obot__class_Obot(tc_fun(_u314, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u314)) )).
% 12.54/12.76 cnf(matrix-1169, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u315, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u315, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u315, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1170, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u316) | ( c_Complete__Lattice_OInf__class_OInf(_u316, c_Orderings_Otop__class_Otop(tc_fun(_u316, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u316)) )).
% 12.54/12.76 cnf(matrix-1171, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u317, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u317, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u317, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1172, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u318) | ( c_Complete__Lattice_OSup__class_OSup(_u318, c_Orderings_Obot__class_Obot(tc_fun(_u318, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u318)) )).
% 12.54/12.76 cnf(matrix-1173, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u319, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u319, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u319, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1174, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u320) | ( c_Complete__Lattice_OSup__class_OSup(_u320, c_Orderings_Otop__class_Otop(tc_fun(_u320, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u320)) )).
% 12.54/12.76 cnf(matrix-1175, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u321, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u321, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u321, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1176, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u324) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u324), _u325), c_Complete__Lattice_OInf__class_OInf(_u324, _u326))) | ~hBOOL(hAPP(hAPP(c_member(_u324), _u322), _u326)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u324), _u325), _u322)) )).
% 12.54/12.76 cnf(matrix-1177, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u324) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u324), _u325), c_Complete__Lattice_OInf__class_OInf(_u324, _u326))) | hBOOL(hAPP(hAPP(c_member(_u324), skolem13(_u326, _u325, _u324)), _u326)) )).
% 12.54/12.76 cnf(matrix-1178, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u324) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u324), _u325), c_Complete__Lattice_OInf__class_OInf(_u324, _u326))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u324), _u325), skolem13(_u326, _u325, _u324))) )).
% 12.54/12.76 cnf(matrix-1179, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u329) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u329), c_Complete__Lattice_OSup__class_OSup(_u329, _u330)), _u331)) | ~hBOOL(hAPP(hAPP(c_member(_u329), _u327), _u330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u329), _u327), _u331)) )).
% 12.54/12.76 cnf(matrix-1180, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u329) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u329), c_Complete__Lattice_OSup__class_OSup(_u329, _u330)), _u331)) | hBOOL(hAPP(hAPP(c_member(_u329), skolem14(_u331, _u330, _u329)), _u330)) )).
% 12.54/12.76 cnf(matrix-1181, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u329) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u329), c_Complete__Lattice_OSup__class_OSup(_u329, _u330)), _u331)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u329), skolem14(_u331, _u330, _u329)), _u331)) )).
% 12.54/12.76 cnf(matrix-1182, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u332, tc_HOL_Obool), tc_HOL_Obool)), _u333), _u334)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u332, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u332, tc_HOL_Obool), _u333)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u332, tc_HOL_Obool), _u334))) )).
% 12.54/12.76 cnf(matrix-1183, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u335, tc_HOL_Obool), tc_HOL_Obool)), _u336), _u337)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u335, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u335, tc_HOL_Obool), _u337)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u335, tc_HOL_Obool), _u336))) )).
% 12.54/12.76 cnf(matrix-1184, plain, ( ( _u338 != _u339) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u340, tc_HOL_Obool)), _u338), _u339)) )).
% 12.54/12.76 cnf(matrix-1185, plain, ( ( _u338 != _u339) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u340, tc_HOL_Obool)), _u339), _u338)) )).
% 12.54/12.76 cnf(matrix-1186, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u341, tc_HOL_Obool)), _u342), _u343)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u341, tc_HOL_Obool)), _u343), _u344)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u341, tc_HOL_Obool)), _u342), _u344)) )).
% 12.54/12.76 cnf(matrix-1187, plain, ( ( _u345 != _u346) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u347, tc_HOL_Obool)), _u346), _u345)) )).
% 12.54/12.76 cnf(matrix-1188, plain, ( ( _u348 != _u349) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u350, tc_HOL_Obool)), _u348), _u349)) )).
% 12.54/12.76 cnf(matrix-1189, plain, ( ( _u354 != _u356) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u358, tc_HOL_Obool)), _u354), _u356)) )).
% 12.54/12.76 cnf(matrix-1190, plain, ( ( _u354 != _u356) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u358, tc_HOL_Obool)), _u356), _u354)) )).
% 12.54/12.76 cnf(matrix-1191, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u359, tc_HOL_Obool)), _u355), _u357)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u359, tc_HOL_Obool)), _u357), _u355)) | ( _u355 = _u357) )).
% 12.54/12.76 cnf(matrix-1192, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u362, tc_HOL_Obool)), _u364), c_Orderings_Obot__class_Obot(tc_fun(_u362, tc_HOL_Obool)))) | ( _u364 = c_Orderings_Obot__class_Obot(tc_fun(_u362, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1193, plain, ( ( _u365 != c_Orderings_Obot__class_Obot(tc_fun(_u363, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u363, tc_HOL_Obool)), _u365), c_Orderings_Obot__class_Obot(tc_fun(_u363, tc_HOL_Obool)))) )).
% 12.54/12.76 cnf(matrix-1194, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u366, tc_HOL_Obool)), _u367), _u367)) )).
% 12.54/12.76 cnf(matrix-1195, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u368, tc_HOL_Obool)), _u369), c_Orderings_Otop__class_Otop(tc_fun(_u368, tc_HOL_Obool)))) )).
% 12.54/12.76 cnf(matrix-1196, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u370, tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(_u370, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1197, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u371, tc_HOL_Obool)), _u372), _u373)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u371, tc_HOL_Obool)), _u372), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u371, tc_HOL_Obool), _u373))) )).
% 12.54/12.76 cnf(matrix-1198, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u374) | ~hBOOL(hAPP(hAPP(c_member(_u374), _u375), _u376)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u374), _u375), c_Complete__Lattice_OSup__class_OSup(_u374, _u376))) )).
% 12.54/12.76 cnf(matrix-1199, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u377, tc_HOL_Obool)), _u378), _u379)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u377, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u377, tc_HOL_Obool), _u379)), _u378)) )).
% 12.54/12.76 cnf(matrix-1200, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u380) | ~hBOOL(hAPP(hAPP(c_member(_u380), _u381), _u382)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u380), c_Complete__Lattice_OInf__class_OInf(_u380, _u382)), _u381)) )).
% 12.54/12.76 cnf(matrix-1201, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u383, tc_HOL_Obool)), _u384), _u385)) | ~hBOOL(hAPP(hAPP(c_member(_u383), _u386), _u384)) | hBOOL(hAPP(hAPP(c_member(_u383), _u386), _u385)) )).
% 12.54/12.76 cnf(matrix-1202, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u387), _u388), _u389)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u387, tc_HOL_Obool)), _u389), _u390)) | hBOOL(hAPP(hAPP(c_member(_u387), _u388), _u390)) )).
% 12.54/12.76 cnf(matrix-1203, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u391, tc_HOL_Obool)), _u392), _u393)) | ~hBOOL(hAPP(hAPP(c_member(_u391), _u394), _u392)) | hBOOL(hAPP(hAPP(c_member(_u391), _u394), _u393)) )).
% 12.54/12.76 cnf(matrix-1204, plain, ( hBOOL(hAPP(hAPP(c_member(_u399), skolem15(_u401, _u399)), _u401)) | ( _u401 = c_Orderings_Obot__class_Obot(tc_fun(_u399, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1205, plain, ( ( _u402 != c_Orderings_Obot__class_Obot(tc_fun(_u400, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u400), _u396), _u402)) )).
% 12.54/12.76 cnf(matrix-1206, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u407), _u403), _u409)) | ( _u409 != c_Orderings_Obot__class_Obot(tc_fun(_u407, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1207, plain, ( ( _u410 = c_Orderings_Obot__class_Obot(tc_fun(_u408, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u408), skolem16(_u410, _u408)), _u410)) )).
% 12.54/12.76 cnf(matrix-1208, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u411), _u412), c_Orderings_Obot__class_Obot(tc_fun(_u411, tc_HOL_Obool)))) )).
% 12.54/12.76 cnf(matrix-1209, plain, ( ( _u413 != c_Orderings_Obot__class_Obot(tc_fun(_u414, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u414), _u415), _u413)) )).
% 12.54/12.76 cnf(matrix-1210, plain, ( ~hBOOL(hAPP(_u422, _u416)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u420, tc_HOL_Obool)) != hAPP(c_Set_OCollect(_u420), _u422)) )).
% 12.54/12.76 cnf(matrix-1211, plain, ( hBOOL(hAPP(_u423, skolem17(_u423))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u421, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u421), _u423)) )).
% 12.54/12.76 cnf(matrix-1212, plain, ( ~hBOOL(hAPP(_u430, _u424)) | ( hAPP(c_Set_OCollect(_u428), _u430) != c_Orderings_Obot__class_Obot(tc_fun(_u428, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1213, plain, ( hBOOL(hAPP(_u431, skolem18(_u431))) | ( hAPP(c_Set_OCollect(_u429), _u431) = c_Orderings_Obot__class_Obot(tc_fun(_u429, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1214, plain, ( ~class_Orderings_Opreorder(_u432) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u432), _u433), _u433)) )).
% 12.54/12.76 cnf(matrix-1215, plain, ( ~class_Orderings_Otop(_u434) | ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u435, _u434)), _u436) = c_Orderings_Otop__class_Otop(_u434)) )).
% 12.54/12.76 cnf(matrix-1216, plain, ( ~class_Orderings_Obot(_u437) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u438, _u437)), _u439) = c_Orderings_Obot__class_Obot(_u437)) )).
% 12.54/12.76 cnf(matrix-1217, plain, ( hBOOL(hAPP(hAPP(c_member(_u440), _u441), c_Orderings_Otop__class_Otop(tc_fun(_u440, tc_HOL_Obool)))) )).
% 12.54/12.76 cnf(matrix-1218, plain, ( ~class_Orderings_Otop(_u442) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u442), _u443), c_Orderings_Otop__class_Otop(_u442))) )).
% 12.54/12.76 cnf(matrix-1219, plain, ( ~class_Orderings_Oord(_u446) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u447, _u446)), _u448), _u449)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u446), hAPP(_u448, _u444)), hAPP(_u449, _u444))) )).
% 12.54/12.76 cnf(matrix-1220, plain, ( ~class_Orderings_Oord(_u446) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u446), hAPP(_u448, skolem19(_u449, _u448, _u447, _u446))), hAPP(_u449, skolem19(_u449, _u448, _u447, _u446)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u447, _u446)), _u448), _u449)) )).
% 12.54/12.76 cnf(matrix-1221, plain, ( ~class_Orderings_Oord(_u450) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u451, _u450)), _u452), _u453)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u450), hAPP(_u452, _u454)), hAPP(_u453, _u454))) )).
% 12.54/12.76 cnf(matrix-1222, plain, ( ~class_Orderings_Oord(_u455) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u456, _u455)), _u457), _u458)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u455), hAPP(_u457, _u459)), hAPP(_u458, _u459))) )).
% 12.54/12.76 cnf(matrix-1223, plain, ( ~class_Orderings_Obot(_u460) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u460), c_Orderings_Obot__class_Obot(_u460)), _u461)) )).
% 12.54/12.76 cnf(matrix-1224, plain, ( hBOOL(hAPP(hAPP(c_member(_u463), _u465), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u463, tc_HOL_Obool), _u464))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u463, tc_HOL_Obool)), skolem20(_u465, _u464, _u463)), _u464)) )).
% 12.54/12.76 cnf(matrix-1225, plain, ( hBOOL(hAPP(hAPP(c_member(_u463), _u465), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u463, tc_HOL_Obool), _u464))) | ~hBOOL(hAPP(hAPP(c_member(_u463), _u465), skolem20(_u465, _u464, _u463))) )).
% 12.54/12.76 cnf(matrix-1226, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u467), _u468), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u467, tc_HOL_Obool), _u469))) | hBOOL(hAPP(hAPP(c_member(_u467), _u468), skolem21(_u469, _u468, _u467))) )).
% 12.54/12.76 cnf(matrix-1227, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u467), _u468), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u467, tc_HOL_Obool), _u469))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u467, tc_HOL_Obool)), skolem21(_u469, _u468, _u467)), _u469)) )).
% 12.54/12.76 cnf(matrix-1228, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u471, tc_HOL_Obool)), _u473), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u471, tc_HOL_Obool), _u472))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u471, tc_HOL_Obool)), skolem22(_u473, _u472, _u471)), _u472)) )).
% 12.54/12.76 cnf(matrix-1229, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u471, tc_HOL_Obool)), _u473), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u471, tc_HOL_Obool), _u472))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u471, tc_HOL_Obool)), _u473), skolem22(_u473, _u472, _u471))) )).
% 12.54/12.76 cnf(matrix-1230, plain, ( ~class_Orderings_Olinorder(_u474) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u474), _u475), _u476)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u474), _u476), _u475)) )).
% 12.54/12.76 cnf(matrix-1231, plain, ( ~class_Orderings_Oorder(_u477) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u477), _u478), _u479)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u477), _u480), _u478)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u477), _u480), _u479)) )).
% 12.54/12.76 cnf(matrix-1232, plain, ( ~class_Orderings_Oorder(_u481) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u481), _u482), _u483)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u481), _u483), _u482)) | ( _u483 = _u482) )).
% 12.54/12.76 cnf(matrix-1233, plain, ( ~class_Orderings_Opreorder(_u484) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u484), _u485), _u486)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u484), _u486), _u487)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u484), _u485), _u487)) )).
% 12.54/12.76 cnf(matrix-1234, plain, ( ~class_Orderings_Oorder(_u488) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u488), _u489), _u490)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u488), _u490), _u489)) | ( _u489 = _u490) )).
% 12.54/12.76 cnf(matrix-1235, plain, ( ~class_Orderings_Oorder(_u491) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u491), _u492), _u493)) | ( _u492 != _u494) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u491), _u494), _u493)) )).
% 12.54/12.76 cnf(matrix-1236, plain, ( ~class_Orderings_Oord(_u495) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u495), _u496), _u497)) | ( _u497 != _u498) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u495), _u496), _u498)) )).
% 12.54/12.76 cnf(matrix-1237, plain, ( ~class_Orderings_Oorder(_u499) | ( _u500 != _u501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u499), _u502), _u501)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u499), _u502), _u500)) )).
% 12.54/12.76 cnf(matrix-1238, plain, ( ~class_Orderings_Oord(_u503) | ( _u504 != _u505) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u503), _u505), _u506)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u503), _u504), _u506)) )).
% 12.54/12.76 cnf(matrix-1239, plain, ( ~class_Orderings_Oorder(_u507) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u507), _u508), _u509)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u507), _u509), _u508)) | ( _u509 = _u508) )).
% 12.54/12.76 cnf(matrix-1240, plain, ( ~class_Orderings_Oorder(_u507) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u507), _u508), _u509)) | ( _u509 != _u508) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u507), _u509), _u508)) )).
% 12.54/12.76 cnf(matrix-1241, plain, ( ~class_Orderings_Opreorder(_u510) | ( _u511 != _u512) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u510), _u511), _u512)) )).
% 12.54/12.76 cnf(matrix-1242, plain, ( ~class_Orderings_Oorder(_u513) | ( _u514 != _u515) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u513), _u514), _u515)) )).
% 12.54/12.76 cnf(matrix-1243, plain, ( ~class_Orderings_Oorder(_u513) | ( _u514 != _u515) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u513), _u515), _u514)) )).
% 12.54/12.76 cnf(matrix-1244, plain, ( ~class_Orderings_Oorder(_u513) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u513), _u514), _u515)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u513), _u515), _u514)) | ( _u514 = _u515) )).
% 12.54/12.76 cnf(matrix-1245, plain, ( ~class_Orderings_Olinorder(_u516) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u516), _u517), _u518)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u516), _u518), _u517)) )).
% 12.54/12.76 cnf(matrix-1246, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u519, tc_HOL_Obool)), _u520), _u521)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u519, tc_HOL_Obool), tc_HOL_Obool)), c_Predicate_OPowp(_u519, _u520)), c_Predicate_OPowp(_u519, _u521))) )).
% 12.54/12.76 cnf(matrix-1247, plain, ( ( _u524 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u523, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u523, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u523, tc_HOL_Obool), _u524)), _u525)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u523, tc_HOL_Obool)), skolem23(_u525, _u524, _u523)), _u524)) )).
% 12.54/12.76 cnf(matrix-1248, plain, ( ( _u524 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u523, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u523, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u523, tc_HOL_Obool), _u524)), _u525)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u523, tc_HOL_Obool)), skolem23(_u525, _u524, _u523)), _u525)) )).
% 12.54/12.76 cnf(matrix-1249, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u527, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u527, tc_HOL_Obool), _u528)), _u529)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u527, tc_HOL_Obool)), skolem24(_u529, _u528, _u527)), _u528)) )).
% 12.54/12.76 cnf(matrix-1250, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u527, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u527, tc_HOL_Obool), _u528)), _u529)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u527, tc_HOL_Obool)), skolem24(_u529, _u528, _u527)), _u529)) )).
% 12.54/12.76 cnf(matrix-1251, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u531) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u531), _u533), c_Complete__Lattice_OInf__class_OInf(_u531, _u532))) | hBOOL(hAPP(hAPP(c_member(_u531), skolem25(_u533, _u532, _u531)), _u532)) )).
% 12.54/12.76 cnf(matrix-1252, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u531) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u531), _u533), c_Complete__Lattice_OInf__class_OInf(_u531, _u532))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u531), _u533), skolem25(_u533, _u532, _u531))) )).
% 12.54/12.76 cnf(matrix-1253, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u535) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u535), c_Complete__Lattice_OSup__class_OSup(_u535, _u536)), _u537)) | hBOOL(hAPP(hAPP(c_member(_u535), skolem26(_u537, _u536, _u535)), _u536)) )).
% 12.54/12.76 cnf(matrix-1254, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u535) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u535), c_Complete__Lattice_OSup__class_OSup(_u535, _u536)), _u537)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u535), skolem26(_u537, _u536, _u535)), _u537)) )).
% 12.54/12.76 cnf(matrix-1255, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u539, tc_HOL_Obool)), _u540), _u541)) | hBOOL(hAPP(hAPP(c_member(_u539), skolem27(_u541, _u540, _u539)), _u540)) )).
% 12.54/12.76 cnf(matrix-1256, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u539, tc_HOL_Obool)), _u540), _u541)) | ~hBOOL(hAPP(hAPP(c_member(_u539), skolem27(_u541, _u540, _u539)), _u541)) )).
% 12.54/12.76 cnf(matrix-1257, plain, ( ~class_Orderings_Olinorder(_u542) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u542, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u542), _u543)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u542), _u544))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u542), _u544), _u543)) )).
% 12.54/12.76 cnf(matrix-1258, plain, ( ~class_Orderings_Olinorder(_u542) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u542), _u544), _u543)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u542, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u542), _u543)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u542), _u544))) )).
% 12.54/12.76 cnf(matrix-1259, plain, ( ( hAPP(c_Set_OPow(_u545), c_Orderings_Otop__class_Otop(tc_fun(_u545, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u545, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1260, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u546, tc_HOL_Obool)), _u547), _u548)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u546, tc_HOL_Obool)), _u547), hAPP(c_Set_OPow(_u546), _u548))) )).
% 12.54/12.76 cnf(matrix-1261, plain, ( ~class_Orderings_Oorder(_u549) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u549, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u549), _u550)), hAPP(c_SetInterval_Oord__class_OatMost(_u549), _u551))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u549), _u550), _u551)) )).
% 12.54/12.76 cnf(matrix-1262, plain, ( ~class_Orderings_Oorder(_u549) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u549), _u550), _u551)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u549, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u549), _u550)), hAPP(c_SetInterval_Oord__class_OatMost(_u549), _u551))) )).
% 12.54/12.76 cnf(matrix-1263, plain, ( ~class_Orderings_Oorder(_u552) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u552, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u552), _u553)), hAPP(c_SetInterval_Oord__class_OatLeast(_u552), _u554))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u552), _u554), _u553)) )).
% 12.54/12.76 cnf(matrix-1264, plain, ( ~class_Orderings_Oorder(_u552) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u552), _u554), _u553)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u552, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u552), _u553)), hAPP(c_SetInterval_Oord__class_OatLeast(_u552), _u554))) )).
% 12.54/12.76 cnf(matrix-1265, plain, ( ~class_Orderings_Olinorder(_u555) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u555), _u556) != hAPP(c_SetInterval_Oord__class_OgreaterThan(_u555), _u557)) | ( _u556 = _u557) )).
% 12.54/12.76 cnf(matrix-1266, plain, ( ~class_Orderings_Olinorder(_u555) | ( _u556 != _u557) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u555), _u556) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u555), _u557)) )).
% 12.54/12.76 cnf(matrix-1267, plain, ( ~class_Orderings_Olinorder(_u558) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u558), _u559) != hAPP(c_SetInterval_Oord__class_OatLeast(_u558), _u560)) | ( _u559 = _u560) )).
% 12.54/12.76 cnf(matrix-1268, plain, ( ~class_Orderings_Olinorder(_u558) | ( _u559 != _u560) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u558), _u559) = hAPP(c_SetInterval_Oord__class_OatLeast(_u558), _u560)) )).
% 12.54/12.76 cnf(matrix-1269, plain, ( ~class_Orderings_Olinorder(_u561) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u561), _u562) != hAPP(c_SetInterval_Oord__class_OatMost(_u561), _u563)) | ( _u562 = _u563) )).
% 12.54/12.76 cnf(matrix-1270, plain, ( ~class_Orderings_Olinorder(_u561) | ( _u562 != _u563) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u561), _u562) = hAPP(c_SetInterval_Oord__class_OatMost(_u561), _u563)) )).
% 12.54/12.76 cnf(matrix-1271, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u564, tc_HOL_Obool)), _u565), hAPP(c_Set_OPow(_u564), _u565))) )).
% 12.54/12.76 cnf(matrix-1272, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u566, tc_HOL_Obool), hAPP(c_Set_OPow(_u566), _u567)) = _u567) )).
% 12.54/12.76 cnf(matrix-1273, plain, ( ( hAPP(c_Set_OPow(_u568), _u569) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u568, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1274, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u570, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u570, tc_HOL_Obool))), hAPP(c_Set_OPow(_u570), _u571))) )).
% 12.54/12.76 cnf(matrix-1275, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u572, tc_HOL_Obool)), _u573), hAPP(c_Set_OPow(_u572), _u574))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u572, tc_HOL_Obool)), _u573), _u574)) )).
% 12.54/12.76 cnf(matrix-1276, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u578, tc_HOL_Obool)), _u580), hAPP(c_Set_OPow(_u578), _u582))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u578, tc_HOL_Obool)), _u580), _u582)) )).
% 12.54/12.76 cnf(matrix-1277, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u579, tc_HOL_Obool)), _u581), _u583)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u579, tc_HOL_Obool)), _u581), hAPP(c_Set_OPow(_u579), _u583))) )).
% 12.54/12.76 cnf(matrix-1278, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u584, tc_HOL_Obool)), _u585), _u586)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u584, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u584), _u585)), hAPP(c_Set_OPow(_u584), _u586))) )).
% 12.54/12.76 cnf(matrix-1279, plain, ( ~class_Orderings_Oord(_u587) | ~hBOOL(hAPP(hAPP(c_member(_u587), _u588), hAPP(c_SetInterval_Oord__class_OatMost(_u587), _u589))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u587), _u588), _u589)) )).
% 12.54/12.76 cnf(matrix-1280, plain, ( ~class_Orderings_Oord(_u587) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u587), _u588), _u589)) | hBOOL(hAPP(hAPP(c_member(_u587), _u588), hAPP(c_SetInterval_Oord__class_OatMost(_u587), _u589))) )).
% 12.54/12.76 cnf(matrix-1281, plain, ( ~class_Orderings_Oord(_u590) | ~hBOOL(hAPP(hAPP(c_member(_u590), _u591), hAPP(c_SetInterval_Oord__class_OatLeast(_u590), _u592))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u590), _u592), _u591)) )).
% 12.54/12.76 cnf(matrix-1282, plain, ( ~class_Orderings_Oord(_u590) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u590), _u592), _u591)) | hBOOL(hAPP(hAPP(c_member(_u590), _u591), hAPP(c_SetInterval_Oord__class_OatLeast(_u590), _u592))) )).
% 12.54/12.76 cnf(matrix-1283, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u593, tc_HOL_Obool), tc_HOL_Obool)), _u594), hAPP(c_Set_OPow(_u593), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u593, tc_HOL_Obool), _u594)))) )).
% 12.54/12.76 cnf(matrix-1284, plain, ( ( hAPP(c_Set_OPow(_u595), c_Orderings_Obot__class_Obot(tc_fun(_u595, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u595, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u595, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u595, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 12.54/12.76 cnf(matrix-1285, plain, ( ~class_Orderings_Olinorder(_u596) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u596, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u596), _u597)), hAPP(c_SetInterval_Oord__class_OlessThan(_u596), _u598))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u596), _u597), _u598)) )).
% 12.54/12.76 cnf(matrix-1286, plain, ( ~class_Orderings_Olinorder(_u596) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u596), _u597), _u598)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u596, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u596), _u597)), hAPP(c_SetInterval_Oord__class_OlessThan(_u596), _u598))) )).
% 12.54/12.76 cnf(matrix-1287, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u599) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u600, tc_HOL_Obool)), _u601), _u602)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u599), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u600, _u599), _u602), _u603)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u600, _u599), _u601), _u603))) )).
% 12.54/12.76 cnf(matrix-1288, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u604) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u605, tc_HOL_Obool)), _u606), _u607)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u604), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u605, _u604), _u606), _u608)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u605, _u604), _u607), _u608))) )).
% 12.54/12.76 cnf(matrix-1289, plain, ( ~class_Orderings_Oorder(_u609) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u609), _u610), _u611)) | ( c_SetInterval_Oord__class_OgreaterThanLessThan(_u609, _u611, _u610) = c_Orderings_Obot__class_Obot(tc_fun(_u609, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1290, plain, ( ~class_Orderings_Oorder(_u612) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u612), _u613), _u614)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u612, _u614, _u613) = c_Orderings_Obot__class_Obot(tc_fun(_u612, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1291, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u618, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u618), _u616)), hAPP(c_Set_OCollect(_u618), _u617))) | hBOOL(hAPP(_u616, skolem28(_u618, _u617, _u616))) )).
% 12.54/12.76 cnf(matrix-1292, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u618, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u618), _u616)), hAPP(c_Set_OCollect(_u618), _u617))) | ~hBOOL(hAPP(_u617, skolem28(_u618, _u617, _u616))) )).
% 12.54/12.76 cnf(matrix-1293, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u620), skolem29(_u621, _u620)), _u621)) | ( c_Orderings_Otop__class_Otop(tc_fun(_u620, tc_HOL_Obool)) = _u621) )).
% 12.54/12.76 cnf(matrix-1294, plain, ( hBOOL(hAPP(hAPP(c_member(_u623), skolem30(_u623)), c_Orderings_Otop__class_Otop(tc_fun(_u623, tc_HOL_Obool)))) )).
% 12.54/12.76 cnf(matrix-1295, plain, ( ~class_Orderings_Oord(_u625) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u625), hAPP(_u626, skolem31(_u628, _u627, _u626, _u625))), hAPP(_u627, skolem31(_u628, _u627, _u626, _u625)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u628, _u625)), _u626), _u627)) )).
% 12.54/12.76 cnf(matrix-1296, plain, ( hBOOL(hAPP(hAPP(c_member(_u630), skolem32(_u631, _u630)), _u631)) | ( _u631 = c_Orderings_Obot__class_Obot(tc_fun(_u630, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1297, plain, ( hBOOL(hAPP(hAPP(c_member(_u632), _u633), hAPP(hAPP(c_Set_Oinsert(_u632), _u635), _u634))) | ~hBOOL(hAPP(hAPP(c_member(_u632), _u633), _u634)) )).
% 12.54/12.76 cnf(matrix-1298, plain, ( hBOOL(hAPP(hAPP(c_member(_u632), _u633), hAPP(hAPP(c_Set_Oinsert(_u632), _u635), _u634))) | ( _u633 != _u635) )).
% 12.54/12.76 cnf(matrix-1299, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u636), _u637), hAPP(hAPP(c_Set_Oinsert(_u636), _u638), _u639))) | ( _u637 = _u638) | hBOOL(hAPP(hAPP(c_member(_u636), _u637), _u639)) )).
% 12.54/12.76 cnf(matrix-1300, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u640), _u641), hAPP(hAPP(c_Set_Oinsert(_u640), _u641), _u642)) = hAPP(hAPP(c_Set_Oinsert(_u640), _u641), _u642)) )).
% 12.54/12.76 cnf(matrix-1301, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u643), _u644), hAPP(hAPP(c_Set_Oinsert(_u643), _u645), _u646)) = hAPP(hAPP(c_Set_Oinsert(_u643), _u645), hAPP(hAPP(c_Set_Oinsert(_u643), _u644), _u646))) )).
% 12.54/12.76 cnf(matrix-1302, plain, ( ( _u653 = _u657) | hBOOL(hAPP(_u655, _u657)) | ~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u651), _u653), _u655), _u657)) )).
% 12.54/12.76 cnf(matrix-1303, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u652), _u654), _u656), _u658)) | ( _u654 != _u658) )).
% 12.54/12.76 cnf(matrix-1304, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u652), _u654), _u656), _u658)) | ~hBOOL(hAPP(_u656, _u658)) )).
% 12.54/12.76 cnf(matrix-1305, plain, ( ~class_Orderings_Olinorder(_u659) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u659), _u660) != hAPP(c_SetInterval_Oord__class_OlessThan(_u659), _u661)) | ( _u660 = _u661) )).
% 12.54/12.76 cnf(matrix-1306, plain, ( ~class_Orderings_Olinorder(_u659) | ( _u660 != _u661) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u659), _u660) = hAPP(c_SetInterval_Oord__class_OlessThan(_u659), _u661)) )).
% 12.54/12.76 cnf(matrix-1307, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u662), _u663), _u664)) | ( hAPP(hAPP(c_Set_Oinsert(_u662), _u663), _u664) = _u664) )).
% 12.54/12.76 cnf(matrix-1308, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u665), _u666), _u667)) | hBOOL(hAPP(hAPP(c_member(_u665), _u666), hAPP(hAPP(c_Set_Oinsert(_u665), _u668), _u667))) )).
% 12.54/12.76 cnf(matrix-1309, plain, ( hBOOL(hAPP(hAPP(c_member(_u669), _u670), _u671)) | hBOOL(hAPP(hAPP(c_member(_u669), _u670), _u672)) | ( hAPP(hAPP(c_Set_Oinsert(_u669), _u670), _u671) != hAPP(hAPP(c_Set_Oinsert(_u669), _u670), _u672)) | ( _u671 = _u672) )).
% 12.54/12.76 cnf(matrix-1310, plain, ( hBOOL(hAPP(hAPP(c_member(_u669), _u670), _u671)) | hBOOL(hAPP(hAPP(c_member(_u669), _u670), _u672)) | ( _u671 != _u672) | ( hAPP(hAPP(c_Set_Oinsert(_u669), _u670), _u671) = hAPP(hAPP(c_Set_Oinsert(_u669), _u670), _u672)) )).
% 12.54/12.76 cnf(matrix-1311, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u677), _u679), hAPP(hAPP(c_Set_Oinsert(_u677), _u681), _u683))) | ( _u679 = _u681) | hBOOL(hAPP(hAPP(c_member(_u677), _u679), _u683)) )).
% 12.54/12.76 cnf(matrix-1312, plain, ( hBOOL(hAPP(hAPP(c_member(_u678), _u680), hAPP(hAPP(c_Set_Oinsert(_u678), _u682), _u684))) | ( _u680 != _u682) )).
% 12.54/12.76 cnf(matrix-1313, plain, ( hBOOL(hAPP(hAPP(c_member(_u678), _u680), hAPP(hAPP(c_Set_Oinsert(_u678), _u682), _u684))) | ~hBOOL(hAPP(hAPP(c_member(_u678), _u680), _u684)) )).
% 12.54/12.76 cnf(matrix-1314, plain, ( hBOOL(hAPP(hAPP(c_member(_u685), _u686), hAPP(hAPP(c_Set_Oinsert(_u685), _u686), _u687))) )).
% 12.54/12.76 cnf(matrix-1315, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u688, tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(_u688), _u689), _u690)) )).
% 12.54/12.76 cnf(matrix-1316, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u691), _u692), _u693) != c_Orderings_Obot__class_Obot(tc_fun(_u691, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1317, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u699), _u701), hAPP(hAPP(c_Set_Oinsert(_u699), _u703), c_Orderings_Obot__class_Obot(tc_fun(_u699, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u699), _u705), hAPP(hAPP(c_Set_Oinsert(_u699), _u707), c_Orderings_Obot__class_Obot(tc_fun(_u699, tc_HOL_Obool))))) | ( _u701 = _u705) | ( _u701 = _u707) )).
% 12.54/12.76 cnf(matrix-1318, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u699), _u701), hAPP(hAPP(c_Set_Oinsert(_u699), _u703), c_Orderings_Obot__class_Obot(tc_fun(_u699, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u699), _u705), hAPP(hAPP(c_Set_Oinsert(_u699), _u707), c_Orderings_Obot__class_Obot(tc_fun(_u699, tc_HOL_Obool))))) | ( _u701 = _u705) | ( _u703 = _u705) )).
% 12.54/12.76 cnf(matrix-1319, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u699), _u701), hAPP(hAPP(c_Set_Oinsert(_u699), _u703), c_Orderings_Obot__class_Obot(tc_fun(_u699, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u699), _u705), hAPP(hAPP(c_Set_Oinsert(_u699), _u707), c_Orderings_Obot__class_Obot(tc_fun(_u699, tc_HOL_Obool))))) | ( _u703 = _u707) | ( _u701 = _u707) )).
% 12.54/12.76 cnf(matrix-1320, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u699), _u701), hAPP(hAPP(c_Set_Oinsert(_u699), _u703), c_Orderings_Obot__class_Obot(tc_fun(_u699, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u699), _u705), hAPP(hAPP(c_Set_Oinsert(_u699), _u707), c_Orderings_Obot__class_Obot(tc_fun(_u699, tc_HOL_Obool))))) | ( _u703 = _u707) | ( _u703 = _u705) )).
% 12.54/12.76 cnf(matrix-1321, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u700), _u702), hAPP(hAPP(c_Set_Oinsert(_u700), _u704), c_Orderings_Obot__class_Obot(tc_fun(_u700, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u700), _u706), hAPP(hAPP(c_Set_Oinsert(_u700), _u708), c_Orderings_Obot__class_Obot(tc_fun(_u700, tc_HOL_Obool))))) | ( _u702 != _u706) | ( _u704 != _u708) )).
% 12.54/12.76 cnf(matrix-1322, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u700), _u702), hAPP(hAPP(c_Set_Oinsert(_u700), _u704), c_Orderings_Obot__class_Obot(tc_fun(_u700, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u700), _u706), hAPP(hAPP(c_Set_Oinsert(_u700), _u708), c_Orderings_Obot__class_Obot(tc_fun(_u700, tc_HOL_Obool))))) | ( _u702 != _u708) | ( _u704 != _u706) )).
% 12.54/12.76 cnf(matrix-1323, plain, ( ( _u710 = _u711) | ( hAPP(hAPP(c_Set_Oinsert(_u709), _u710), c_Orderings_Obot__class_Obot(tc_fun(_u709, tc_HOL_Obool))) != hAPP(hAPP(c_Set_Oinsert(_u709), _u711), c_Orderings_Obot__class_Obot(tc_fun(_u709, tc_HOL_Obool)))) )).
% 12.54/12.76 cnf(matrix-1324, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u712, tc_HOL_Obool)), _u713), hAPP(hAPP(c_Set_Oinsert(_u712), _u714), _u713))) )).
% 12.54/12.76 cnf(matrix-1325, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u715, tc_HOL_Obool)), _u716), _u717)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u715, tc_HOL_Obool)), _u716), hAPP(hAPP(c_Set_Oinsert(_u715), _u718), _u717))) )).
% 12.54/12.76 cnf(matrix-1326, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u719, tc_HOL_Obool)), _u720), _u721)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u719, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u719), _u722), _u720)), hAPP(hAPP(c_Set_Oinsert(_u719), _u722), _u721))) )).
% 12.54/12.76 cnf(matrix-1327, plain, ( ( _u728 = _u730) | ~hBOOL(hAPP(hAPP(c_member(_u726), _u728), hAPP(hAPP(c_Set_Oinsert(_u726), _u730), c_Orderings_Obot__class_Obot(tc_fun(_u726, tc_HOL_Obool))))) )).
% 12.54/12.76 cnf(matrix-1328, plain, ( ( _u729 != _u731) | hBOOL(hAPP(hAPP(c_member(_u727), _u729), hAPP(hAPP(c_Set_Oinsert(_u727), _u731), c_Orderings_Obot__class_Obot(tc_fun(_u727, tc_HOL_Obool))))) )).
% 12.54/12.76 cnf(matrix-1329, plain, ( ( _u733 = _u734) | ~hBOOL(hAPP(hAPP(c_member(_u732), _u733), hAPP(hAPP(c_Set_Oinsert(_u732), _u734), c_Orderings_Obot__class_Obot(tc_fun(_u732, tc_HOL_Obool))))) )).
% 12.54/12.76 cnf(matrix-1330, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u739, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u739), _u741), _u743)), _u745)) | hBOOL(hAPP(hAPP(c_member(_u739), _u741), _u745)) )).
% 12.54/12.76 cnf(matrix-1331, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u739, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u739), _u741), _u743)), _u745)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u739, tc_HOL_Obool)), _u743), _u745)) )).
% 12.54/12.76 cnf(matrix-1332, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u740), _u742), _u746)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u740, tc_HOL_Obool)), _u744), _u746)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u740, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u740), _u742), _u744)), _u746)) )).
% 12.54/12.76 cnf(matrix-1333, plain, ( hBOOL(hAPP(hAPP(c_member(_u747), _u748), _u749)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u747, tc_HOL_Obool)), _u749), hAPP(hAPP(c_Set_Oinsert(_u747), _u748), _u750))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u747, tc_HOL_Obool)), _u749), _u750)) )).
% 12.54/12.76 cnf(matrix-1334, plain, ( hBOOL(hAPP(hAPP(c_member(_u747), _u748), _u749)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u747, tc_HOL_Obool)), _u749), _u750)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u747, tc_HOL_Obool)), _u749), hAPP(hAPP(c_Set_Oinsert(_u747), _u748), _u750))) )).
% 12.54/12.76 cnf(matrix-1335, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u751, tc_HOL_Obool)), _u752), hAPP(hAPP(c_Set_Oinsert(_u751), _u753), c_Orderings_Obot__class_Obot(tc_fun(_u751, tc_HOL_Obool))))) | ( _u752 = c_Orderings_Obot__class_Obot(tc_fun(_u751, tc_HOL_Obool))) | ( _u752 = hAPP(hAPP(c_Set_Oinsert(_u751), _u753), c_Orderings_Obot__class_Obot(tc_fun(_u751, tc_HOL_Obool)))) )).
% 12.54/12.76 cnf(matrix-1336, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u754) | ( c_Complete__Lattice_OSup__class_OSup(_u754, hAPP(hAPP(c_Set_Oinsert(_u754), _u755), c_Orderings_Obot__class_Obot(tc_fun(_u754, tc_HOL_Obool)))) = _u755) )).
% 12.54/12.76 cnf(matrix-1337, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u756) | ( c_Complete__Lattice_OInf__class_OInf(_u756, hAPP(hAPP(c_Set_Oinsert(_u756), _u757), c_Orderings_Obot__class_Obot(tc_fun(_u756, tc_HOL_Obool)))) = _u757) )).
% 12.54/12.76 cnf(matrix-1338, plain, ( ( c_Set_Othe__elem(_u758, hAPP(hAPP(c_Set_Oinsert(_u758), _u759), c_Orderings_Obot__class_Obot(tc_fun(_u758, tc_HOL_Obool)))) = _u759) )).
% 12.54/12.76 cnf(matrix-1339, plain, ( ~class_Orderings_Olinorder(_u760) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u760, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u760), _u761), c_Orderings_Obot__class_Obot(tc_fun(_u760, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u760), _u761)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u760), _u761)) )).
% 12.54/12.76 cnf(matrix-1340, plain, ( ~class_Orderings_Oorder(_u762) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u762, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u762), _u763)), hAPP(c_SetInterval_Oord__class_OatLeast(_u762), _u763)) = hAPP(hAPP(c_Set_Oinsert(_u762), _u763), c_Orderings_Obot__class_Obot(tc_fun(_u762, tc_HOL_Obool)))) )).
% 12.54/12.76 cnf(matrix-1341, plain, ( ~class_Orderings_Olinorder(_u764) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u764, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u764), _u765)), hAPP(hAPP(c_Set_Oinsert(_u764), _u765), c_Orderings_Obot__class_Obot(tc_fun(_u764, tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(_u764), _u765)) )).
% 12.54/12.76 cnf(matrix-1342, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u766, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u766, tc_HOL_Obool)), _u767), hAPP(hAPP(c_Set_Oinsert(_u766), _u768), c_Orderings_Obot__class_Obot(tc_fun(_u766, tc_HOL_Obool))))), _u769)) | ~hBOOL(hAPP(hAPP(c_member(_u766), _u768), _u767)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u766, tc_HOL_Obool)), _u767), hAPP(hAPP(c_Set_Oinsert(_u766), _u768), _u769))) )).
% 12.54/12.76 cnf(matrix-1343, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u774, tc_HOL_Obool)), _u776), hAPP(hAPP(c_Set_Oinsert(_u774), _u778), _u780))) | ~hBOOL(hAPP(hAPP(c_member(_u774), _u778), _u776)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u774, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u774, tc_HOL_Obool)), _u776), hAPP(hAPP(c_Set_Oinsert(_u774), _u778), c_Orderings_Obot__class_Obot(tc_fun(_u774, tc_HOL_Obool))))), _u780)) )).
% 12.54/12.76 cnf(matrix-1344, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u774, tc_HOL_Obool)), _u776), hAPP(hAPP(c_Set_Oinsert(_u774), _u778), _u780))) | hBOOL(hAPP(hAPP(c_member(_u774), _u778), _u776)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u774, tc_HOL_Obool)), _u776), _u780)) )).
% 12.54/12.76 cnf(matrix-1345, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u775, tc_HOL_Obool)), _u777), hAPP(hAPP(c_Set_Oinsert(_u775), _u779), _u781))) | hBOOL(hAPP(hAPP(c_member(_u775), _u779), _u777)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u775, tc_HOL_Obool)), _u777), _u781)) )).
% 12.54/12.76 cnf(matrix-1346, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u775, tc_HOL_Obool)), _u777), hAPP(hAPP(c_Set_Oinsert(_u775), _u779), _u781))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u775, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u775, tc_HOL_Obool)), _u777), hAPP(hAPP(c_Set_Oinsert(_u775), _u779), c_Orderings_Obot__class_Obot(tc_fun(_u775, tc_HOL_Obool))))), _u781)) | ~hBOOL(hAPP(hAPP(c_member(_u775), _u779), _u777)) )).
% 12.54/12.76 cnf(matrix-1347, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u775, tc_HOL_Obool)), _u777), hAPP(hAPP(c_Set_Oinsert(_u775), _u779), _u781))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u775, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u775, tc_HOL_Obool)), _u777), hAPP(hAPP(c_Set_Oinsert(_u775), _u779), c_Orderings_Obot__class_Obot(tc_fun(_u775, tc_HOL_Obool))))), _u781)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u775, tc_HOL_Obool)), _u777), _u781)) )).
% 12.54/12.76 cnf(matrix-1348, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u782, tc_HOL_Obool)), _u783), _u784) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u782, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u782, tc_HOL_Obool)), _u783), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u782, tc_HOL_Obool)), _u784), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u782, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 12.54/12.76 cnf(matrix-1349, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u785, tc_HOL_Obool)), _u786), _u787) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u785, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u785, tc_HOL_Obool)), _u786), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u785, tc_HOL_Obool)), _u787), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u785, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 12.54/12.76 cnf(matrix-1350, plain, ( ~class_Orderings_Oorder(_u788) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u788, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u788, _u789, _u790)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u788), _u790)) = c_Orderings_Obot__class_Obot(tc_fun(_u788, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1351, plain, ( ~class_Orderings_Oorder(_u791) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u791, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u791, _u792, _u793)), hAPP(c_SetInterval_Oord__class_OatLeast(_u791), _u793)) = c_Orderings_Obot__class_Obot(tc_fun(_u791, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1352, plain, ( ~class_Orderings_Olinorder(_u794) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u794), _u795), _u796)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u794, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u794, _u795, _u796)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u794), _u796)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u794), _u795)) )).
% 12.54/12.76 cnf(matrix-1353, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u800, tc_HOL_Obool)), _u799), _u797), _u798)) | ~hBOOL(hAPP(_u797, _u798)) )).
% 12.54/12.76 cnf(matrix-1354, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u800, tc_HOL_Obool)), _u799), _u797), _u798)) | ~hBOOL(hAPP(_u799, _u798)) )).
% 12.54/12.76 cnf(matrix-1355, plain, ( hBOOL(hAPP(_u802, _u804)) | hBOOL(hAPP(_u803, _u804)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u801, tc_HOL_Obool)), _u802), _u803), _u804)) )).
% 12.54/12.76 cnf(matrix-1356, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u805, tc_HOL_Obool)), _u806), _u807), _u808)) | hBOOL(hAPP(_u806, _u808)) )).
% 12.54/12.76 cnf(matrix-1357, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u805, tc_HOL_Obool)), _u806), _u807), _u808)) | hBOOL(hAPP(_u807, _u808)) )).
% 12.54/12.76 cnf(matrix-1358, plain, ( ~hBOOL(hAPP(_u809, _u810)) | ~hBOOL(hAPP(_u811, _u810)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u812, tc_HOL_Obool)), _u809), _u811), _u810)) )).
% 12.54/12.76 cnf(matrix-1359, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u813), _u814), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u813, tc_HOL_Obool)), _u815), _u816))) | hBOOL(hAPP(hAPP(c_member(_u813), _u814), _u815)) | hBOOL(hAPP(hAPP(c_member(_u813), _u814), _u816)) )).
% 12.54/12.76 cnf(matrix-1360, plain, ( hBOOL(hAPP(hAPP(c_member(_u817), _u818), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u817, tc_HOL_Obool)), _u820), _u819))) | ~hBOOL(hAPP(hAPP(c_member(_u817), _u818), _u819)) )).
% 12.54/12.76 cnf(matrix-1361, plain, ( hBOOL(hAPP(hAPP(c_member(_u817), _u818), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u817, tc_HOL_Obool)), _u820), _u819))) | ~hBOOL(hAPP(hAPP(c_member(_u817), _u818), _u820)) )).
% 12.54/12.76 cnf(matrix-1362, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u821), _u822), _u823)) | ~hBOOL(hAPP(hAPP(c_member(_u821), _u822), _u824)) | hBOOL(hAPP(hAPP(c_member(_u821), _u822), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u821, tc_HOL_Obool)), _u823), _u824))) )).
% 12.54/12.76 cnf(matrix-1363, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u825), _u826), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u825, tc_HOL_Obool)), _u827), _u828))) | hBOOL(hAPP(hAPP(c_member(_u825), _u826), _u827)) )).
% 12.54/12.76 cnf(matrix-1364, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u825), _u826), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u825, tc_HOL_Obool)), _u827), _u828))) | hBOOL(hAPP(hAPP(c_member(_u825), _u826), _u828)) )).
% 12.54/12.76 cnf(matrix-1365, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u829), _u830), _u831)) | hBOOL(hAPP(hAPP(c_member(_u829), _u830), _u832)) | hBOOL(hAPP(hAPP(c_member(_u829), _u830), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u829, tc_HOL_Obool)), _u831), _u832))) )).
% 12.54/12.76 cnf(matrix-1366, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u833), _u834), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u833, tc_HOL_Obool)), _u835), _u836))) | hBOOL(hAPP(hAPP(c_member(_u833), _u834), _u835)) )).
% 12.54/12.76 cnf(matrix-1367, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u833), _u834), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u833, tc_HOL_Obool)), _u835), _u836))) | ~hBOOL(hAPP(hAPP(c_member(_u833), _u834), _u836)) )).
% 12.54/12.76 cnf(matrix-1368, plain, ( hBOOL(hAPP(_u839, _u840)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u837, tc_HOL_Obool)), _u838), _u839), _u840)) )).
% 12.54/12.76 cnf(matrix-1369, plain, ( hBOOL(hAPP(_u842, _u844)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u841, tc_HOL_Obool)), _u842), _u843), _u844)) )).
% 12.54/12.76 cnf(matrix-1370, plain, ( ~hBOOL(hAPP(_u845, _u846)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u847, tc_HOL_Obool)), _u848), _u845), _u846)) )).
% 12.54/12.76 cnf(matrix-1371, plain, ( ~hBOOL(hAPP(_u849, _u850)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u851, tc_HOL_Obool)), _u849), _u852), _u850)) )).
% 12.54/12.76 cnf(matrix-1372, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u853, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u853, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u853, tc_HOL_Obool)), _u854), _u855)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u853, tc_HOL_Obool)), _u855), _u856))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u853, tc_HOL_Obool)), _u856), _u854)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u853, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u853, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u853, tc_HOL_Obool)), _u854), _u855)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u853, tc_HOL_Obool)), _u855), _u856))), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u853, tc_HOL_Obool)), _u856), _u854))) )).
% 12.54/12.76 cnf(matrix-1373, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u857, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u857, tc_HOL_Obool)), _u858), _u859)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u857, tc_HOL_Obool)), _u860), _u859)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u857, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u857, tc_HOL_Obool)), _u858), _u859)), _u860)) )).
% 12.54/12.76 cnf(matrix-1374, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u861, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u861, tc_HOL_Obool)), _u862), _u863)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u861, tc_HOL_Obool)), _u862), _u863)) = _u862) )).
% 12.54/12.76 cnf(matrix-1375, plain, ( hBOOL(hAPP(hAPP(c_member(_u874), skolem33(_u880, _u878, _u876, _u874)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u874, tc_HOL_Obool)), _u876), _u878))) | ~hBOOL(hAPP(hAPP(c_member(_u874), _u865), _u876)) | hBOOL(hAPP(_u880, _u865)) )).
% 12.54/12.76 cnf(matrix-1376, plain, ( hBOOL(hAPP(hAPP(c_member(_u874), skolem33(_u880, _u878, _u876, _u874)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u874, tc_HOL_Obool)), _u876), _u878))) | ~hBOOL(hAPP(hAPP(c_member(_u874), _u866), _u878)) | hBOOL(hAPP(_u880, _u866)) )).
% 12.54/12.76 cnf(matrix-1377, plain, ( ~hBOOL(hAPP(_u880, skolem33(_u880, _u878, _u876, _u874))) | ~hBOOL(hAPP(hAPP(c_member(_u874), _u865), _u876)) | hBOOL(hAPP(_u880, _u865)) )).
% 12.54/12.76 cnf(matrix-1378, plain, ( ~hBOOL(hAPP(_u880, skolem33(_u880, _u878, _u876, _u874))) | ~hBOOL(hAPP(hAPP(c_member(_u874), _u866), _u878)) | hBOOL(hAPP(_u880, _u866)) )).
% 12.54/12.76 cnf(matrix-1379, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u875), _u869), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u875, tc_HOL_Obool)), _u877), _u879))) | hBOOL(hAPP(_u881, _u869)) | hBOOL(hAPP(hAPP(c_member(_u875), skolem34(_u881, _u879, _u877, _u875)), _u877)) | hBOOL(hAPP(hAPP(c_member(_u875), skolem35(_u881, _u879, _u877, _u875)), _u879)) )).
% 12.54/12.76 cnf(matrix-1380, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u875), _u869), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u875, tc_HOL_Obool)), _u877), _u879))) | hBOOL(hAPP(_u881, _u869)) | hBOOL(hAPP(hAPP(c_member(_u875), skolem34(_u881, _u879, _u877, _u875)), _u877)) | ~hBOOL(hAPP(_u881, skolem35(_u881, _u879, _u877, _u875))) )).
% 12.54/12.76 cnf(matrix-1381, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u875), _u869), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u875, tc_HOL_Obool)), _u877), _u879))) | hBOOL(hAPP(_u881, _u869)) | ~hBOOL(hAPP(_u881, skolem34(_u881, _u879, _u877, _u875))) | hBOOL(hAPP(hAPP(c_member(_u875), skolem35(_u881, _u879, _u877, _u875)), _u879)) )).
% 12.54/12.76 cnf(matrix-1382, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u875), _u869), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u875, tc_HOL_Obool)), _u877), _u879))) | hBOOL(hAPP(_u881, _u869)) | ~hBOOL(hAPP(_u881, skolem34(_u881, _u879, _u877, _u875))) | ~hBOOL(hAPP(_u881, skolem35(_u881, _u879, _u877, _u875))) )).
% 12.54/12.76 cnf(matrix-1383, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u892), _u882), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u892, tc_HOL_Obool)), _u894), _u896))) | ~hBOOL(hAPP(_u898, _u882)) | hBOOL(hAPP(hAPP(c_member(_u892), skolem36(_u898, _u896, _u894, _u892)), _u894)) | hBOOL(hAPP(hAPP(c_member(_u892), skolem37(_u898, _u896, _u894, _u892)), _u896)) )).
% 12.54/12.76 cnf(matrix-1384, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u892), _u882), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u892, tc_HOL_Obool)), _u894), _u896))) | ~hBOOL(hAPP(_u898, _u882)) | hBOOL(hAPP(hAPP(c_member(_u892), skolem36(_u898, _u896, _u894, _u892)), _u894)) | hBOOL(hAPP(_u898, skolem37(_u898, _u896, _u894, _u892))) )).
% 12.54/12.76 cnf(matrix-1385, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u892), _u882), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u892, tc_HOL_Obool)), _u894), _u896))) | ~hBOOL(hAPP(_u898, _u882)) | hBOOL(hAPP(_u898, skolem36(_u898, _u896, _u894, _u892))) | hBOOL(hAPP(hAPP(c_member(_u892), skolem37(_u898, _u896, _u894, _u892)), _u896)) )).
% 12.54/12.76 cnf(matrix-1386, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u892), _u882), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u892, tc_HOL_Obool)), _u894), _u896))) | ~hBOOL(hAPP(_u898, _u882)) | hBOOL(hAPP(_u898, skolem36(_u898, _u896, _u894, _u892))) | hBOOL(hAPP(_u898, skolem37(_u898, _u896, _u894, _u892))) )).
% 12.54/12.76 cnf(matrix-1387, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u893), _u885), _u895)) | ~hBOOL(hAPP(_u899, _u885)) | hBOOL(hAPP(hAPP(c_member(_u893), skolem38(_u899, _u897, _u895, _u893)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u893, tc_HOL_Obool)), _u895), _u897))) )).
% 12.54/12.76 cnf(matrix-1388, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u893), _u885), _u895)) | ~hBOOL(hAPP(_u899, _u885)) | hBOOL(hAPP(_u899, skolem38(_u899, _u897, _u895, _u893))) )).
% 12.54/12.76 cnf(matrix-1389, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u893), _u886), _u897)) | ~hBOOL(hAPP(_u899, _u886)) | hBOOL(hAPP(hAPP(c_member(_u893), skolem38(_u899, _u897, _u895, _u893)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u893, tc_HOL_Obool)), _u895), _u897))) )).
% 12.54/12.76 cnf(matrix-1390, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u893), _u886), _u897)) | ~hBOOL(hAPP(_u899, _u886)) | hBOOL(hAPP(_u899, skolem38(_u899, _u897, _u895, _u893))) )).
% 12.54/12.76 cnf(matrix-1391, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u900, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u900, tc_HOL_Obool)), _u901), _u902)), _u903) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u900, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u900, tc_HOL_Obool)), _u901), _u903)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u900, tc_HOL_Obool)), _u902), _u903))) )).
% 12.54/12.76 cnf(matrix-1392, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u904, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u904, tc_HOL_Obool)), _u905), _u906)), _u907) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u904, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u904, tc_HOL_Obool)), _u905), _u907)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u904, tc_HOL_Obool)), _u906), _u907))) )).
% 12.54/12.76 cnf(matrix-1393, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u908, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u908, tc_HOL_Obool)), _u909), _u910)), _u911) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u908, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u908, tc_HOL_Obool)), _u909), _u911)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u908, tc_HOL_Obool)), _u910), _u911))) )).
% 12.54/12.76 cnf(matrix-1394, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u912, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u912, tc_HOL_Obool)), _u913), _u914)), _u915) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u912, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u912, tc_HOL_Obool)), _u913), _u915)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u912, tc_HOL_Obool)), _u914), _u915))) )).
% 12.54/12.76 cnf(matrix-1395, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u916, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u916, tc_HOL_Obool)), _u917), _u918)), _u919) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u916, tc_HOL_Obool)), _u917), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u916, tc_HOL_Obool)), _u918), _u919))) )).
% 12.54/12.76 cnf(matrix-1396, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u920, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u920, tc_HOL_Obool)), _u921), _u922)), _u923) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u920, tc_HOL_Obool)), _u921), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u920, tc_HOL_Obool)), _u922), _u923))) )).
% 12.54/12.76 cnf(matrix-1397, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u924, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u924, tc_HOL_Obool)), _u925), _u926)), _u927) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u924, tc_HOL_Obool)), _u925), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u924, tc_HOL_Obool)), _u926), _u927))) )).
% 12.54/12.76 cnf(matrix-1398, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u928, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u928, tc_HOL_Obool)), _u929), _u930)), _u930) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u928, tc_HOL_Obool)), _u929), _u930)) )).
% 12.54/12.76 cnf(matrix-1399, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u931, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u931, tc_HOL_Obool)), _u932), _u933)), _u933) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u931, tc_HOL_Obool)), _u932), _u933)) )).
% 12.54/12.76 cnf(matrix-1400, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u934, tc_HOL_Obool)), _u935), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u934, tc_HOL_Obool)), _u936), _u937)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u934, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u934, tc_HOL_Obool)), _u935), _u936)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u934, tc_HOL_Obool)), _u935), _u937))) )).
% 12.54/12.76 cnf(matrix-1401, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u938, tc_HOL_Obool)), _u939), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u938, tc_HOL_Obool)), _u940), _u941)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u938, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u938, tc_HOL_Obool)), _u939), _u940)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u938, tc_HOL_Obool)), _u939), _u941))) )).
% 12.54/12.76 cnf(matrix-1402, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u942, tc_HOL_Obool)), _u943), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u942, tc_HOL_Obool)), _u944), _u945)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u942, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u942, tc_HOL_Obool)), _u943), _u944)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u942, tc_HOL_Obool)), _u943), _u945))) )).
% 12.54/12.76 cnf(matrix-1403, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u946, tc_HOL_Obool)), _u947), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u946, tc_HOL_Obool)), _u948), _u949)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u946, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u946, tc_HOL_Obool)), _u947), _u948)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u946, tc_HOL_Obool)), _u947), _u949))) )).
% 12.54/12.76 cnf(matrix-1404, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u950, tc_HOL_Obool)), _u951), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u950, tc_HOL_Obool)), _u952), _u953)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u950, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u950, tc_HOL_Obool)), _u951), _u952)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u950, tc_HOL_Obool)), _u951), _u953))) )).
% 12.54/12.76 cnf(matrix-1405, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u954, tc_HOL_Obool)), _u955), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u954, tc_HOL_Obool)), _u956), _u957)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u954, tc_HOL_Obool)), _u956), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u954, tc_HOL_Obool)), _u955), _u957))) )).
% 12.54/12.76 cnf(matrix-1406, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u958, tc_HOL_Obool)), _u959), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u958, tc_HOL_Obool)), _u960), _u961)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u958, tc_HOL_Obool)), _u960), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u958, tc_HOL_Obool)), _u959), _u961))) )).
% 12.54/12.76 cnf(matrix-1407, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u962, tc_HOL_Obool)), _u963), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u962, tc_HOL_Obool)), _u963), _u964)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u962, tc_HOL_Obool)), _u963), _u964)) )).
% 12.54/12.76 cnf(matrix-1408, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u965, tc_HOL_Obool)), _u966), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u965, tc_HOL_Obool)), _u967), _u966)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u965, tc_HOL_Obool)), _u966), _u967)) )).
% 12.54/12.76 cnf(matrix-1409, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u968, tc_HOL_Obool)), _u969), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u968, tc_HOL_Obool)), _u969), _u970)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u968, tc_HOL_Obool)), _u969), _u970)) )).
% 12.54/12.76 cnf(matrix-1410, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u971, tc_HOL_Obool)), _u972), _u973) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u971, tc_HOL_Obool)), _u973), _u972)) )).
% 12.54/12.76 cnf(matrix-1411, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u974, tc_HOL_Obool)), _u975), _u976) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u974, tc_HOL_Obool)), _u976), _u975)) )).
% 12.54/12.76 cnf(matrix-1412, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u977, tc_HOL_Obool)), _u978), _u978) = _u978) )).
% 12.54/12.76 cnf(matrix-1413, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u979, tc_HOL_Obool)), _u980), _u980) = _u980) )).
% 12.54/12.76 cnf(matrix-1414, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u981, tc_HOL_Obool)), _u982), _u983) != c_Orderings_Obot__class_Obot(tc_fun(_u981, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u981, tc_HOL_Obool)), _u982), _u983) = _u982) )).
% 12.54/12.76 cnf(matrix-1415, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u984, tc_HOL_Obool)), _u985), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u984, tc_HOL_Obool)), _u986), _u985)) = c_Orderings_Obot__class_Obot(tc_fun(_u984, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1416, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u987, tc_HOL_Obool)), _u988), _u989)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u987, tc_HOL_Obool)), _u988), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u987, tc_HOL_Obool)), _u989), _u988)) = _u989) )).
% 12.54/12.76 cnf(matrix-1417, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u994, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u994, tc_HOL_Obool)), _u996), _u998)), _u1000)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u994, tc_HOL_Obool)), _u996), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u994, tc_HOL_Obool)), _u998), _u1000))) )).
% 12.54/12.76 cnf(matrix-1418, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u995, tc_HOL_Obool)), _u997), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u995, tc_HOL_Obool)), _u999), _u1001))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u995, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u995, tc_HOL_Obool)), _u997), _u999)), _u1001)) )).
% 12.54/12.76 cnf(matrix-1419, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1006, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1006, tc_HOL_Obool)), _u1008), _u1010)), _u1012) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1006, tc_HOL_Obool)), _u1008), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1006, tc_HOL_Obool)), _u1010), _u1012))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1006, tc_HOL_Obool)), _u1012), _u1008)) )).
% 12.54/12.76 cnf(matrix-1420, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1007, tc_HOL_Obool)), _u1013), _u1009)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1007, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1007, tc_HOL_Obool)), _u1009), _u1011)), _u1013) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1007, tc_HOL_Obool)), _u1009), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1007, tc_HOL_Obool)), _u1011), _u1013))) )).
% 12.54/12.76 cnf(matrix-1421, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1014, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u1014, tc_HOL_Obool), tc_HOL_Obool)), _u1015), _u1016)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1014, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1014, tc_HOL_Obool), _u1015)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1014, tc_HOL_Obool), _u1016))) )).
% 12.54/12.76 cnf(matrix-1422, plain, ( ( hAPP(c_Set_OPow(_u1017), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1017, tc_HOL_Obool)), _u1018), _u1019)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u1017, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u1017), _u1018)), hAPP(c_Set_OPow(_u1017), _u1019))) )).
% 12.54/12.76 cnf(matrix-1423, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1020, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u1020, tc_HOL_Obool), tc_HOL_Obool)), _u1021), _u1022)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1020, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1020, tc_HOL_Obool), _u1021)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1020, tc_HOL_Obool), _u1022))) )).
% 12.54/12.76 cnf(matrix-1424, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1023, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1023, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u1023, tc_HOL_Obool), tc_HOL_Obool)), _u1024), _u1025))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1023, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1023, tc_HOL_Obool), _u1024)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1023, tc_HOL_Obool), _u1025)))) )).
% 12.54/12.76 cnf(matrix-1425, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1026, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1026, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1026, tc_HOL_Obool), _u1027)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1026, tc_HOL_Obool), _u1028))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1026, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u1026, tc_HOL_Obool), tc_HOL_Obool)), _u1027), _u1028)))) )).
% 12.54/12.76 cnf(matrix-1426, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1033), _u1035), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1033, tc_HOL_Obool)), _u1037), _u1039))) | hBOOL(hAPP(hAPP(c_member(_u1033), _u1035), _u1037)) )).
% 12.54/12.76 cnf(matrix-1427, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1033), _u1035), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1033, tc_HOL_Obool)), _u1037), _u1039))) | ~hBOOL(hAPP(hAPP(c_member(_u1033), _u1035), _u1039)) )).
% 12.54/12.76 cnf(matrix-1428, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1034), _u1036), _u1038)) | hBOOL(hAPP(hAPP(c_member(_u1034), _u1036), _u1040)) | hBOOL(hAPP(hAPP(c_member(_u1034), _u1036), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1034, tc_HOL_Obool)), _u1038), _u1040))) )).
% 12.54/12.76 cnf(matrix-1429, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1041), _u1042), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1041, tc_HOL_Obool)), _u1043), _u1044))) | hBOOL(hAPP(hAPP(c_member(_u1041), _u1042), _u1043)) )).
% 12.54/12.76 cnf(matrix-1430, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1045), _u1046), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1045, tc_HOL_Obool)), _u1047), _u1048))) | ~hBOOL(hAPP(hAPP(c_member(_u1045), _u1046), _u1048)) )).
% 12.54/12.76 cnf(matrix-1431, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1053), _u1055), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1053, tc_HOL_Obool)), _u1057), _u1059))) | hBOOL(hAPP(hAPP(c_member(_u1053), _u1055), _u1057)) | hBOOL(hAPP(hAPP(c_member(_u1053), _u1055), _u1059)) )).
% 12.54/12.76 cnf(matrix-1432, plain, ( hBOOL(hAPP(hAPP(c_member(_u1054), _u1056), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1054, tc_HOL_Obool)), _u1058), _u1060))) | ~hBOOL(hAPP(hAPP(c_member(_u1054), _u1056), _u1058)) )).
% 12.54/12.76 cnf(matrix-1433, plain, ( hBOOL(hAPP(hAPP(c_member(_u1054), _u1056), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1054, tc_HOL_Obool)), _u1058), _u1060))) | ~hBOOL(hAPP(hAPP(c_member(_u1054), _u1056), _u1060)) )).
% 12.54/12.76 cnf(matrix-1434, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1061), _u1062), _u1063)) | hBOOL(hAPP(hAPP(c_member(_u1061), _u1062), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1061, tc_HOL_Obool)), _u1063), _u1064))) )).
% 12.54/12.76 cnf(matrix-1435, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1065), _u1066), _u1067)) | hBOOL(hAPP(hAPP(c_member(_u1065), _u1066), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1065, tc_HOL_Obool)), _u1068), _u1067))) )).
% 12.54/12.76 cnf(matrix-1436, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1073), _u1075), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1073, tc_HOL_Obool)), _u1077), _u1079))) | hBOOL(hAPP(hAPP(c_member(_u1073), _u1075), _u1077)) )).
% 12.54/12.76 cnf(matrix-1437, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1073), _u1075), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1073, tc_HOL_Obool)), _u1077), _u1079))) | hBOOL(hAPP(hAPP(c_member(_u1073), _u1075), _u1079)) )).
% 12.54/12.76 cnf(matrix-1438, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1074), _u1076), _u1078)) | ~hBOOL(hAPP(hAPP(c_member(_u1074), _u1076), _u1080)) | hBOOL(hAPP(hAPP(c_member(_u1074), _u1076), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1074, tc_HOL_Obool)), _u1078), _u1080))) )).
% 12.54/12.76 cnf(matrix-1439, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1081), _u1082), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1081, tc_HOL_Obool)), _u1083), _u1084))) | hBOOL(hAPP(hAPP(c_member(_u1081), _u1082), _u1083)) )).
% 12.54/12.76 cnf(matrix-1440, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1085), _u1086), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1085, tc_HOL_Obool)), _u1087), _u1088))) | hBOOL(hAPP(hAPP(c_member(_u1085), _u1086), _u1088)) )).
% 12.54/12.76 cnf(matrix-1441, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1089, tc_HOL_Obool)), _u1090), _u1090) = c_Orderings_Obot__class_Obot(tc_fun(_u1089, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1442, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1091, tc_HOL_Obool)), _u1092), c_Orderings_Obot__class_Obot(tc_fun(_u1091, tc_HOL_Obool))) = _u1092) )).
% 12.54/12.76 cnf(matrix-1443, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1093, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u1093, tc_HOL_Obool))), _u1094) = c_Orderings_Obot__class_Obot(tc_fun(_u1093, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1444, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1098, tc_HOL_Obool)), _u1100), _u1102) != c_Orderings_Obot__class_Obot(tc_fun(_u1098, tc_HOL_Obool))) | ( _u1100 = c_Orderings_Obot__class_Obot(tc_fun(_u1098, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1445, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1098, tc_HOL_Obool)), _u1100), _u1102) != c_Orderings_Obot__class_Obot(tc_fun(_u1098, tc_HOL_Obool))) | ( _u1102 = c_Orderings_Obot__class_Obot(tc_fun(_u1098, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1446, plain, ( ( _u1101 != c_Orderings_Obot__class_Obot(tc_fun(_u1099, tc_HOL_Obool))) | ( _u1103 != c_Orderings_Obot__class_Obot(tc_fun(_u1099, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1099, tc_HOL_Obool)), _u1101), _u1103) = c_Orderings_Obot__class_Obot(tc_fun(_u1099, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1447, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1104, tc_HOL_Obool)), _u1105), c_Orderings_Obot__class_Obot(tc_fun(_u1104, tc_HOL_Obool))) = _u1105) )).
% 12.54/12.76 cnf(matrix-1448, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1106, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u1106, tc_HOL_Obool))), _u1107) = _u1107) )).
% 12.54/12.76 cnf(matrix-1449, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1115, tc_HOL_Obool)), _u1117), _u1119) != c_Orderings_Obot__class_Obot(tc_fun(_u1115, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u1115), _u1109), _u1117)) | ~hBOOL(hAPP(hAPP(c_member(_u1115), _u1108), _u1119)) | ( _u1109 != _u1108) )).
% 12.54/12.76 cnf(matrix-1450, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1116, tc_HOL_Obool)), _u1118), _u1120) = c_Orderings_Obot__class_Obot(tc_fun(_u1116, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1116), skolem39(_u1120, _u1118, _u1116)), _u1118)) )).
% 12.54/12.76 cnf(matrix-1451, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1116, tc_HOL_Obool)), _u1118), _u1120) = c_Orderings_Obot__class_Obot(tc_fun(_u1116, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1116), skolem40(_u1120, _u1118, _u1116)), _u1120)) )).
% 12.54/12.76 cnf(matrix-1452, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1116, tc_HOL_Obool)), _u1118), _u1120) = c_Orderings_Obot__class_Obot(tc_fun(_u1116, tc_HOL_Obool))) | ( skolem39(_u1120, _u1118, _u1116) = skolem40(_u1120, _u1118, _u1116)) )).
% 12.54/12.76 cnf(matrix-1453, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1121, tc_HOL_Obool)), _u1122), c_Orderings_Obot__class_Obot(tc_fun(_u1121, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u1121, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1454, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1123, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u1123, tc_HOL_Obool))), _u1124) = c_Orderings_Obot__class_Obot(tc_fun(_u1123, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1455, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1125, tc_HOL_Obool)), _u1126), _u1127)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1125, tc_HOL_Obool)), _u1127), _u1128)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1125, tc_HOL_Obool)), _u1127), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1125, tc_HOL_Obool)), _u1128), _u1126)) = _u1126) )).
% 12.54/12.76 cnf(matrix-1456, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1129, tc_HOL_Obool)), _u1130), _u1131)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1129, tc_HOL_Obool)), _u1132), _u1133)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1129, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1129, tc_HOL_Obool)), _u1130), _u1133)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1129, tc_HOL_Obool)), _u1131), _u1132))) )).
% 12.54/12.76 cnf(matrix-1457, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1134, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1134, tc_HOL_Obool)), _u1135), _u1136)), _u1135)) )).
% 12.54/12.76 cnf(matrix-1458, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1137, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1137), _u1138), _u1139)), _u1140) = hAPP(hAPP(c_Set_Oinsert(_u1137), _u1138), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1137, tc_HOL_Obool)), _u1139), _u1140))) )).
% 12.54/12.76 cnf(matrix-1459, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1141, tc_HOL_Obool)), _u1142), hAPP(hAPP(c_Set_Oinsert(_u1141), _u1143), _u1144)) = hAPP(hAPP(c_Set_Oinsert(_u1141), _u1143), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1141, tc_HOL_Obool)), _u1142), _u1144))) )).
% 12.54/12.76 cnf(matrix-1460, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1145, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1145), _u1146), _u1147)), hAPP(hAPP(c_Set_Oinsert(_u1145), _u1146), _u1148)) = hAPP(hAPP(c_Set_Oinsert(_u1145), _u1146), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1145, tc_HOL_Obool)), _u1147), _u1148))) )).
% 12.54/12.76 cnf(matrix-1461, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1149, tc_HOL_Obool)), _u1150), _u1151)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1149, tc_HOL_Obool)), _u1152), _u1153)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1149, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1149, tc_HOL_Obool)), _u1150), _u1152)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1149, tc_HOL_Obool)), _u1151), _u1153))) )).
% 12.54/12.76 cnf(matrix-1462, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1154, tc_HOL_Obool)), _u1155), _u1156)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1154, tc_HOL_Obool)), _u1157), _u1156)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1154, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1154, tc_HOL_Obool)), _u1155), _u1157)), _u1156)) )).
% 12.54/12.76 cnf(matrix-1463, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1158, tc_HOL_Obool)), _u1159), _u1160)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1158, tc_HOL_Obool)), _u1160), _u1159) = _u1160) )).
% 12.54/12.76 cnf(matrix-1464, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1161, tc_HOL_Obool)), _u1162), _u1163)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1161, tc_HOL_Obool)), _u1162), _u1163) = _u1163) )).
% 12.54/12.76 cnf(matrix-1465, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1167, tc_HOL_Obool)), _u1169), _u1171)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1167, tc_HOL_Obool)), _u1169), _u1171) = _u1171) )).
% 12.54/12.76 cnf(matrix-1466, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1168, tc_HOL_Obool)), _u1170), _u1172) != _u1172) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1168, tc_HOL_Obool)), _u1170), _u1172)) )).
% 12.54/12.76 cnf(matrix-1467, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1173, tc_HOL_Obool)), _u1174), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1173, tc_HOL_Obool)), _u1175), _u1174))) )).
% 12.54/12.76 cnf(matrix-1468, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1176, tc_HOL_Obool)), _u1177), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1176, tc_HOL_Obool)), _u1177), _u1178))) )).
% 12.54/12.76 cnf(matrix-1469, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1179, tc_HOL_Obool)), _u1180), c_Orderings_Otop__class_Otop(tc_fun(_u1179, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u1179, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1470, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1181, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u1181, tc_HOL_Obool))), _u1182) = c_Orderings_Otop__class_Otop(tc_fun(_u1181, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1471, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1183, tc_HOL_Obool)), _u1184), _u1185)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1183, tc_HOL_Obool)), _u1186), _u1187)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1183, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1183, tc_HOL_Obool)), _u1184), _u1186)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1183, tc_HOL_Obool)), _u1185), _u1187))) )).
% 12.54/12.76 cnf(matrix-1472, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1188, tc_HOL_Obool)), _u1189), _u1190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1188, tc_HOL_Obool)), _u1189), _u1191)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1188, tc_HOL_Obool)), _u1189), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1188, tc_HOL_Obool)), _u1190), _u1191))) )).
% 12.54/12.76 cnf(matrix-1473, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1192, tc_HOL_Obool)), _u1193), _u1194)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1192, tc_HOL_Obool)), _u1194), _u1193) = _u1193) )).
% 12.54/12.76 cnf(matrix-1474, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1195, tc_HOL_Obool)), _u1196), _u1197)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1195, tc_HOL_Obool)), _u1196), _u1197) = _u1196) )).
% 12.54/12.76 cnf(matrix-1475, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1198, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1198, tc_HOL_Obool)), _u1199), _u1200)), _u1200)) )).
% 12.54/12.76 cnf(matrix-1476, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1201, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1201, tc_HOL_Obool)), _u1202), _u1203)), _u1202)) )).
% 12.54/12.76 cnf(matrix-1477, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1204, tc_HOL_Obool)), _u1205), c_Orderings_Otop__class_Otop(tc_fun(_u1204, tc_HOL_Obool))) = _u1205) )).
% 12.54/12.76 cnf(matrix-1478, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1206, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u1206, tc_HOL_Obool))), _u1207) = _u1207) )).
% 12.54/12.76 cnf(matrix-1479, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u1208, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u1208, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u1208), _u1209)), hAPP(c_Set_OPow(_u1208), _u1210))), hAPP(c_Set_OPow(_u1208), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1208, tc_HOL_Obool)), _u1209), _u1210)))) )).
% 12.54/12.76 cnf(matrix-1480, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1211), _u1212), _u1213)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1211, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1211), _u1212), _u1214)), _u1213) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1211, tc_HOL_Obool)), _u1214), _u1213)) )).
% 12.54/12.76 cnf(matrix-1481, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1219), _u1221), _u1223)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1219, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1219), _u1221), _u1225)), _u1223) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1219, tc_HOL_Obool)), _u1225), _u1223)) )).
% 12.54/12.76 cnf(matrix-1482, plain, ( hBOOL(hAPP(hAPP(c_member(_u1220), _u1222), _u1224)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1220, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1220), _u1222), _u1226)), _u1224) = hAPP(hAPP(c_Set_Oinsert(_u1220), _u1222), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1220, tc_HOL_Obool)), _u1226), _u1224))) )).
% 12.54/12.76 cnf(matrix-1483, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u1227), _u1228), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1227, tc_HOL_Obool)), _u1229), hAPP(hAPP(c_Set_Oinsert(_u1227), _u1228), c_Orderings_Obot__class_Obot(tc_fun(_u1227, tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(_u1227), _u1228), _u1229)) )).
% 12.54/12.76 cnf(matrix-1484, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1230, tc_HOL_Obool)), _u1231), hAPP(hAPP(c_Set_Oinsert(_u1230), _u1232), _u1233)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1230, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1230, tc_HOL_Obool)), _u1231), hAPP(hAPP(c_Set_Oinsert(_u1230), _u1232), c_Orderings_Obot__class_Obot(tc_fun(_u1230, tc_HOL_Obool))))), _u1233)) )).
% 12.54/12.76 cnf(matrix-1485, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1234, tc_HOL_Obool)), _u1235), hAPP(hAPP(c_Set_Oinsert(_u1234), _u1236), _u1237)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1234, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1234, tc_HOL_Obool)), _u1235), _u1237)), hAPP(hAPP(c_Set_Oinsert(_u1234), _u1236), c_Orderings_Obot__class_Obot(tc_fun(_u1234, tc_HOL_Obool))))) )).
% 12.54/12.76 cnf(matrix-1486, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1238), _u1239), _u1240)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1238, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1238), _u1239), _u1241)), _u1240) = hAPP(hAPP(c_Set_Oinsert(_u1238), _u1239), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1238, tc_HOL_Obool)), _u1241), _u1240))) )).
% 12.54/12.76 cnf(matrix-1487, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1242), _u1243), _u1244)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1242, tc_HOL_Obool)), _u1244), hAPP(hAPP(c_Set_Oinsert(_u1242), _u1243), _u1245)) = hAPP(hAPP(c_Set_Oinsert(_u1242), _u1243), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1242, tc_HOL_Obool)), _u1244), _u1245))) )).
% 12.54/12.76 cnf(matrix-1488, plain, ( hBOOL(hAPP(hAPP(c_member(_u1246), _u1247), _u1248)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1246, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1246), _u1247), _u1249)), _u1248) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1246, tc_HOL_Obool)), _u1249), _u1248)) )).
% 12.54/12.76 cnf(matrix-1489, plain, ( hBOOL(hAPP(hAPP(c_member(_u1250), _u1251), _u1252)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1250, tc_HOL_Obool)), _u1252), hAPP(hAPP(c_Set_Oinsert(_u1250), _u1251), _u1253)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1250, tc_HOL_Obool)), _u1252), _u1253)) )).
% 12.54/12.76 cnf(matrix-1490, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1258), _u1260), _u1262)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1258, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1258), _u1260), _u1264)), _u1262) = hAPP(hAPP(c_Set_Oinsert(_u1258), _u1260), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1258, tc_HOL_Obool)), _u1264), _u1262))) )).
% 12.54/12.76 cnf(matrix-1491, plain, ( hBOOL(hAPP(hAPP(c_member(_u1259), _u1261), _u1263)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1259, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1259), _u1261), _u1265)), _u1263) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1259, tc_HOL_Obool)), _u1265), _u1263)) )).
% 12.54/12.76 cnf(matrix-1492, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1270), _u1272), _u1274)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1270, tc_HOL_Obool)), _u1274), hAPP(hAPP(c_Set_Oinsert(_u1270), _u1272), _u1276)) = hAPP(hAPP(c_Set_Oinsert(_u1270), _u1272), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1270, tc_HOL_Obool)), _u1274), _u1276))) )).
% 12.54/12.76 cnf(matrix-1493, plain, ( hBOOL(hAPP(hAPP(c_member(_u1271), _u1273), _u1275)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1271, tc_HOL_Obool)), _u1275), hAPP(hAPP(c_Set_Oinsert(_u1271), _u1273), _u1277)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1271, tc_HOL_Obool)), _u1275), _u1277)) )).
% 12.54/12.76 cnf(matrix-1494, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1278, tc_HOL_Obool)), _u1279), c_Orderings_Otop__class_Otop(tc_fun(_u1278, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u1278, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1495, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1280) | ( c_Complete__Lattice_OSup__class_OSup(_u1280, hAPP(hAPP(c_Set_Oinsert(_u1280), _u1281), _u1282)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1280), _u1281), c_Complete__Lattice_OSup__class_OSup(_u1280, _u1282))) )).
% 12.54/12.76 cnf(matrix-1496, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u1283), _u1284), _u1285) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1283, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1283), _u1284), c_Orderings_Obot__class_Obot(tc_fun(_u1283, tc_HOL_Obool)))), _u1285)) )).
% 12.54/12.76 cnf(matrix-1497, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1286) | ( c_Complete__Lattice_OInf__class_OInf(_u1286, hAPP(hAPP(c_Set_Oinsert(_u1286), _u1287), _u1288)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1286), _u1287), c_Complete__Lattice_OInf__class_OInf(_u1286, _u1288))) )).
% 12.54/12.76 cnf(matrix-1498, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1294, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1294, tc_HOL_Obool), _u1296)), _u1298) != c_Orderings_Obot__class_Obot(tc_fun(_u1294, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1294, tc_HOL_Obool)), _u1289), _u1296)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1294, tc_HOL_Obool)), _u1289), _u1298) = c_Orderings_Obot__class_Obot(tc_fun(_u1294, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1499, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1295, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1295, tc_HOL_Obool), _u1297)), _u1299) = c_Orderings_Obot__class_Obot(tc_fun(_u1295, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1295, tc_HOL_Obool)), skolem41(_u1299, _u1297, _u1295)), _u1297)) )).
% 12.54/12.76 cnf(matrix-1500, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1295, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1295, tc_HOL_Obool), _u1297)), _u1299) = c_Orderings_Obot__class_Obot(tc_fun(_u1295, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1295, tc_HOL_Obool)), skolem41(_u1299, _u1297, _u1295)), _u1299) != c_Orderings_Obot__class_Obot(tc_fun(_u1295, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1501, plain, ( ~class_Orderings_Olinorder(_u1300) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1300), _u1301), _u1302)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1300), _u1302), _u1303)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1300, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u1300, _u1301, _u1302)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u1300, _u1302, _u1303)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u1300, _u1301, _u1303)) )).
% 12.54/12.76 cnf(matrix-1502, plain, ( ~class_Orderings_Oorder(_u1304) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1304, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u1304, _u1305, _u1306)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u1304, _u1306, _u1307)) = c_Orderings_Obot__class_Obot(tc_fun(_u1304, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1503, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1308, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u1308, tc_HOL_Obool)), _u1309), _u1310)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1308, tc_HOL_Obool)), _u1309), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1308, tc_HOL_Obool), _u1310))) )).
% 12.54/12.76 cnf(matrix-1504, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1311, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u1311, tc_HOL_Obool)), _u1312), _u1313)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1311, tc_HOL_Obool)), _u1312), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1311, tc_HOL_Obool), _u1313))) )).
% 12.54/12.76 cnf(matrix-1505, plain, ( hBOOL(hAPP(hAPP(c_member(_u1314), _u1315), _u1316)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1314, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1314), _u1315), _u1316)), hAPP(hAPP(c_Set_Oinsert(_u1314), _u1315), c_Orderings_Obot__class_Obot(tc_fun(_u1314, tc_HOL_Obool)))) = _u1316) )).
% 12.54/12.76 cnf(matrix-1506, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1317), _u1318), _u1319)) | ( hAPP(hAPP(c_Set_Oinsert(_u1317), _u1318), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1317, tc_HOL_Obool)), _u1319), hAPP(hAPP(c_Set_Oinsert(_u1317), _u1318), c_Orderings_Obot__class_Obot(tc_fun(_u1317, tc_HOL_Obool))))) = _u1319) )).
% 12.54/12.76 cnf(matrix-1507, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1320) | ( c_Complete__Lattice_OSup__class_OSup(_u1320, hAPP(hAPP(c_Set_Oinsert(_u1320), _u1321), hAPP(hAPP(c_Set_Oinsert(_u1320), _u1322), c_Orderings_Obot__class_Obot(tc_fun(_u1320, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1320), _u1321), _u1322)) )).
% 12.54/12.76 cnf(matrix-1508, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1323) | ( c_Complete__Lattice_OInf__class_OInf(_u1323, hAPP(hAPP(c_Set_Oinsert(_u1323), _u1324), hAPP(hAPP(c_Set_Oinsert(_u1323), _u1325), c_Orderings_Obot__class_Obot(tc_fun(_u1323, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1323), _u1324), _u1325)) )).
% 12.54/12.76 cnf(matrix-1509, plain, ( ~class_Orderings_Oorder(_u1326) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1326, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1326), _u1327), c_Orderings_Obot__class_Obot(tc_fun(_u1326, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OlessThan(_u1326), _u1327)) = hAPP(hAPP(c_Set_Oinsert(_u1326), _u1327), c_Orderings_Obot__class_Obot(tc_fun(_u1326, tc_HOL_Obool)))) )).
% 12.54/12.76 cnf(matrix-1510, plain, ( ~class_Orderings_Olinorder(_u1328) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1328), _u1329), _u1330)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1328, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u1328), _u1329)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u1328, _u1329, _u1330)) = hAPP(c_SetInterval_Oord__class_OatMost(_u1328), _u1330)) )).
% 12.54/12.76 cnf(matrix-1511, plain, ( ~class_Orderings_Oorder(_u1331) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1331, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u1331), _u1332)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u1331, _u1332, _u1333)) = c_Orderings_Obot__class_Obot(tc_fun(_u1331, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1512, plain, ( ~class_Orderings_Oorder(_u1334) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1334, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u1334), _u1335)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u1334, _u1335, _u1336)) = c_Orderings_Obot__class_Obot(tc_fun(_u1334, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1513, plain, ( ~class_Orderings_Oorder(_u1337) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1337, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u1337, _u1338, _u1339)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u1337, _u1339, _u1340)) = c_Orderings_Obot__class_Obot(tc_fun(_u1337, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1514, plain, ( ~class_Lattices_Olattice(_u1341) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1341), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1341), _u1342), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1341), _u1343), _u1344))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1341), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1341), _u1342), _u1343)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1341), _u1342), _u1344)))) )).
% 12.54/12.76 cnf(matrix-1515, plain, ( ~class_Lattices_Olattice(_u1345) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1345), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1345), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1345), _u1346), _u1347)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1345), _u1346), _u1348))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1345), _u1346), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1345), _u1347), _u1348)))) )).
% 12.54/12.76 cnf(matrix-1516, plain, ( ~class_Groups_Ominus(_u1349) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1350, _u1349)), _u1351), _u1352), _u1353) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1349), hAPP(_u1351, _u1353)), hAPP(_u1352, _u1353))) )).
% 12.54/12.76 cnf(matrix-1517, plain, ( ~class_Lattices_Olattice(_u1354) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1355, _u1354)), _u1356), _u1357), _u1358) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1354), hAPP(_u1356, _u1358)), hAPP(_u1357, _u1358))) )).
% 12.54/12.76 cnf(matrix-1518, plain, ( ~class_Lattices_Olattice(_u1359) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1360, _u1359)), _u1361), _u1362), _u1363) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1359), hAPP(_u1361, _u1363)), hAPP(_u1362, _u1363))) )).
% 12.54/12.76 cnf(matrix-1519, plain, ( ~class_Lattices_Obounded__lattice__top(_u1364) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1364), c_Orderings_Otop__class_Otop(_u1364)), _u1365) = _u1365) )).
% 12.54/12.76 cnf(matrix-1520, plain, ( ~class_Lattices_Obounded__lattice__top(_u1366) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1366), _u1367), c_Orderings_Otop__class_Otop(_u1366)) = _u1367) )).
% 12.54/12.76 cnf(matrix-1521, plain, ( ~class_Lattices_Obounded__lattice__top(_u1368) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1368), _u1369), _u1370) != c_Orderings_Otop__class_Otop(_u1368)) | ( _u1369 = c_Orderings_Otop__class_Otop(_u1368)) )).
% 12.54/12.76 cnf(matrix-1522, plain, ( ~class_Lattices_Obounded__lattice__top(_u1368) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1368), _u1369), _u1370) != c_Orderings_Otop__class_Otop(_u1368)) | ( _u1370 = c_Orderings_Otop__class_Otop(_u1368)) )).
% 12.54/12.76 cnf(matrix-1523, plain, ( ~class_Lattices_Obounded__lattice__top(_u1368) | ( _u1369 != c_Orderings_Otop__class_Otop(_u1368)) | ( _u1370 != c_Orderings_Otop__class_Otop(_u1368)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1368), _u1369), _u1370) = c_Orderings_Otop__class_Otop(_u1368)) )).
% 12.54/12.76 cnf(matrix-1524, plain, ( ~class_Lattices_Obounded__lattice__top(_u1371) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1371), c_Orderings_Otop__class_Otop(_u1371)), _u1372) = c_Orderings_Otop__class_Otop(_u1371)) )).
% 12.54/12.76 cnf(matrix-1525, plain, ( ~class_Lattices_Obounded__lattice__top(_u1373) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1373), _u1374), c_Orderings_Otop__class_Otop(_u1373)) = c_Orderings_Otop__class_Otop(_u1373)) )).
% 12.54/12.76 cnf(matrix-1526, plain, ( ~class_Lattices_Olattice(_u1375) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1375), _u1376), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1375), _u1376), _u1377)) = _u1376) )).
% 12.54/12.76 cnf(matrix-1527, plain, ( ~class_Lattices_Osemilattice__sup(_u1378) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1378), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1378), _u1379), _u1380)), _u1381) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1378), _u1379), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1378), _u1380), _u1381))) )).
% 12.54/12.76 cnf(matrix-1528, plain, ( ~class_Lattices_Olattice(_u1382) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1382), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1382), _u1383), _u1384)), _u1385) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1382), _u1383), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1382), _u1384), _u1385))) )).
% 12.54/12.76 cnf(matrix-1529, plain, ( ~class_Lattices_Osemilattice__sup(_u1386) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1386), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1386), _u1387), _u1388)), _u1389) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1386), _u1387), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1386), _u1388), _u1389))) )).
% 12.54/12.76 cnf(matrix-1530, plain, ( ~class_Lattices_Osemilattice__sup(_u1390) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1390), _u1391), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1390), _u1392), _u1393)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1390), _u1392), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1390), _u1391), _u1393))) )).
% 12.54/12.76 cnf(matrix-1531, plain, ( ~class_Lattices_Olattice(_u1394) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1394), _u1395), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1394), _u1396), _u1397)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1394), _u1396), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1394), _u1395), _u1397))) )).
% 12.54/12.76 cnf(matrix-1532, plain, ( ~class_Lattices_Osemilattice__sup(_u1398) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1398), _u1399), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1398), _u1400), _u1401)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1398), _u1400), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1398), _u1399), _u1401))) )).
% 12.54/12.76 cnf(matrix-1533, plain, ( ~class_Lattices_Osemilattice__sup(_u1402) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1402), _u1403), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1402), _u1403), _u1404)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1402), _u1403), _u1404)) )).
% 12.54/12.76 cnf(matrix-1534, plain, ( ~class_Lattices_Olattice(_u1405) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1405), _u1406), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1405), _u1406), _u1407)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1405), _u1406), _u1407)) )).
% 12.54/12.76 cnf(matrix-1535, plain, ( ~class_Lattices_Osemilattice__sup(_u1408) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1408), _u1409), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1408), _u1409), _u1410)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1408), _u1409), _u1410)) )).
% 12.54/12.76 cnf(matrix-1536, plain, ( ~class_Lattices_Osemilattice__sup(_u1411) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1411), _u1412), _u1413) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1411), _u1413), _u1412)) )).
% 12.54/12.76 cnf(matrix-1537, plain, ( ~class_Lattices_Olattice(_u1414) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1414), _u1415), _u1416) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1414), _u1416), _u1415)) )).
% 12.54/12.76 cnf(matrix-1538, plain, ( ~class_Lattices_Osemilattice__sup(_u1417) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1417), _u1418), _u1419) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1417), _u1419), _u1418)) )).
% 12.54/12.76 cnf(matrix-1539, plain, ( ~class_Lattices_Osemilattice__sup(_u1420) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1420), _u1421), _u1421) = _u1421) )).
% 12.54/12.76 cnf(matrix-1540, plain, ( ~class_Lattices_Osemilattice__sup(_u1422) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1422), _u1423), _u1423) = _u1423) )).
% 12.54/12.76 cnf(matrix-1541, plain, ( ~class_Lattices_Osemilattice__inf(_u1424) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1424), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1424), _u1425), _u1426)), _u1427) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1424), _u1425), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1424), _u1426), _u1427))) )).
% 12.54/12.76 cnf(matrix-1542, plain, ( ~class_Lattices_Olattice(_u1428) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1428), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1428), _u1429), _u1430)), _u1431) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1428), _u1429), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1428), _u1430), _u1431))) )).
% 12.54/12.76 cnf(matrix-1543, plain, ( ~class_Lattices_Osemilattice__inf(_u1432) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1432), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1432), _u1433), _u1434)), _u1435) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1432), _u1433), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1432), _u1434), _u1435))) )).
% 12.54/12.76 cnf(matrix-1544, plain, ( ~class_Lattices_Osemilattice__inf(_u1436) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1436), _u1437), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1436), _u1438), _u1439)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1436), _u1438), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1436), _u1437), _u1439))) )).
% 12.54/12.76 cnf(matrix-1545, plain, ( ~class_Lattices_Olattice(_u1440) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1440), _u1441), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1440), _u1442), _u1443)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1440), _u1442), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1440), _u1441), _u1443))) )).
% 12.54/12.76 cnf(matrix-1546, plain, ( ~class_Lattices_Osemilattice__inf(_u1444) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1444), _u1445), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1444), _u1446), _u1447)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1444), _u1446), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1444), _u1445), _u1447))) )).
% 12.54/12.76 cnf(matrix-1547, plain, ( ~class_Lattices_Osemilattice__inf(_u1448) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1448), _u1449), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1448), _u1449), _u1450)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1448), _u1449), _u1450)) )).
% 12.54/12.76 cnf(matrix-1548, plain, ( ~class_Lattices_Olattice(_u1451) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1451), _u1452), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1451), _u1452), _u1453)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1451), _u1452), _u1453)) )).
% 12.54/12.76 cnf(matrix-1549, plain, ( ~class_Lattices_Osemilattice__inf(_u1454) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1454), _u1455), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1454), _u1455), _u1456)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1454), _u1455), _u1456)) )).
% 12.54/12.76 cnf(matrix-1550, plain, ( ~class_Lattices_Osemilattice__inf(_u1457) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1457), _u1458), _u1459) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1457), _u1459), _u1458)) )).
% 12.54/12.76 cnf(matrix-1551, plain, ( ~class_Lattices_Olattice(_u1460) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1460), _u1461), _u1462) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1460), _u1462), _u1461)) )).
% 12.54/12.76 cnf(matrix-1552, plain, ( ~class_Lattices_Osemilattice__inf(_u1463) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1463), _u1464), _u1465) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1463), _u1465), _u1464)) )).
% 12.54/12.76 cnf(matrix-1553, plain, ( ~class_Lattices_Osemilattice__inf(_u1466) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1466), _u1467), _u1467) = _u1467) )).
% 12.54/12.76 cnf(matrix-1554, plain, ( ~class_Lattices_Osemilattice__inf(_u1468) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1468), _u1469), _u1469) = _u1469) )).
% 12.54/12.76 cnf(matrix-1555, plain, ( ~class_Lattices_Osemilattice__sup(_u1470) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1470), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1470), _u1471), _u1472)), _u1473)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1470), _u1471), _u1473)) )).
% 12.54/12.76 cnf(matrix-1556, plain, ( ~class_Lattices_Osemilattice__sup(_u1470) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1470), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1470), _u1471), _u1472)), _u1473)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1470), _u1472), _u1473)) )).
% 12.54/12.76 cnf(matrix-1557, plain, ( ~class_Lattices_Osemilattice__sup(_u1474) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1474), _u1475), _u1476)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1474), _u1477), _u1478)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1474), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1474), _u1475), _u1477)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1474), _u1476), _u1478))) )).
% 12.54/12.76 cnf(matrix-1558, plain, ( ~class_Lattices_Osemilattice__sup(_u1479) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1479), _u1480), _u1481)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1479), _u1482), _u1481)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1479), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1479), _u1480), _u1482)), _u1481)) )).
% 12.54/12.76 cnf(matrix-1559, plain, ( ~class_Lattices_Osemilattice__sup(_u1483) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1483), _u1484), _u1485)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1483), _u1486), _u1485)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1483), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1483), _u1484), _u1486)), _u1485)) )).
% 12.54/12.76 cnf(matrix-1560, plain, ( ~class_Lattices_Osemilattice__sup(_u1487) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1487), _u1488), _u1489)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1487), _u1489), _u1488) = _u1489) )).
% 12.54/12.76 cnf(matrix-1561, plain, ( ~class_Lattices_Osemilattice__sup(_u1490) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1490), _u1491), _u1492)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1490), _u1491), _u1492) = _u1492) )).
% 12.54/12.76 cnf(matrix-1562, plain, ( ~class_Lattices_Osemilattice__sup(_u1493) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1493), _u1494), _u1495)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1493), _u1494), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1493), _u1496), _u1495))) )).
% 12.54/12.76 cnf(matrix-1563, plain, ( ~class_Lattices_Osemilattice__sup(_u1497) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1497), _u1498), _u1499)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1497), _u1498), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1497), _u1499), _u1500))) )).
% 12.54/12.76 cnf(matrix-1564, plain, ( ~class_Lattices_Osemilattice__sup(_u1501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1501), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1501), _u1502), _u1503)), _u1504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1501), _u1502), _u1504)) )).
% 12.54/12.76 cnf(matrix-1565, plain, ( ~class_Lattices_Osemilattice__sup(_u1501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1501), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1501), _u1502), _u1503)), _u1504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1501), _u1503), _u1504)) )).
% 12.54/12.76 cnf(matrix-1566, plain, ( ~class_Lattices_Osemilattice__sup(_u1501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1501), _u1502), _u1504)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1501), _u1503), _u1504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1501), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1501), _u1502), _u1503)), _u1504)) )).
% 12.54/12.76 cnf(matrix-1567, plain, ( ~class_Lattices_Osemilattice__sup(_u1505) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1505), _u1506), _u1507)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1505), _u1506), _u1507) = _u1507) )).
% 12.54/12.76 cnf(matrix-1568, plain, ( ~class_Lattices_Osemilattice__sup(_u1505) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1505), _u1506), _u1507) != _u1507) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1505), _u1506), _u1507)) )).
% 12.54/12.76 cnf(matrix-1569, plain, ( ~class_Lattices_Osemilattice__sup(_u1508) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1508), _u1509), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1508), _u1510), _u1509))) )).
% 12.54/12.76 cnf(matrix-1570, plain, ( ~class_Lattices_Olattice(_u1511) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1511), _u1512), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1511), _u1513), _u1512))) )).
% 12.54/12.76 cnf(matrix-1571, plain, ( ~class_Lattices_Osemilattice__sup(_u1514) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1514), _u1515), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1514), _u1515), _u1516))) )).
% 12.54/12.76 cnf(matrix-1572, plain, ( ~class_Lattices_Olattice(_u1517) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1517), _u1518), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1517), _u1518), _u1519))) )).
% 12.54/12.76 cnf(matrix-1573, plain, ( ~class_Lattices_Osemilattice__inf(_u1520) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1520), _u1521), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1520), _u1522), _u1523))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1520), _u1521), _u1522)) )).
% 12.54/12.76 cnf(matrix-1574, plain, ( ~class_Lattices_Osemilattice__inf(_u1520) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1520), _u1521), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1520), _u1522), _u1523))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1520), _u1521), _u1523)) )).
% 12.54/12.76 cnf(matrix-1575, plain, ( ~class_Lattices_Osemilattice__inf(_u1524) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1524), _u1525), _u1526)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1524), _u1527), _u1528)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1524), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1524), _u1525), _u1527)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1524), _u1526), _u1528))) )).
% 12.54/12.76 cnf(matrix-1576, plain, ( ~class_Lattices_Osemilattice__inf(_u1529) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1529), _u1530), _u1531)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1529), _u1530), _u1532)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1529), _u1530), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1529), _u1531), _u1532))) )).
% 12.54/12.76 cnf(matrix-1577, plain, ( ~class_Lattices_Osemilattice__inf(_u1533) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1533), _u1534), _u1535)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1533), _u1534), _u1536)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1533), _u1534), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1533), _u1535), _u1536))) )).
% 12.54/12.76 cnf(matrix-1578, plain, ( ~class_Lattices_Osemilattice__inf(_u1537) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1537), _u1538), _u1539)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1537), _u1539), _u1538) = _u1538) )).
% 12.54/12.76 cnf(matrix-1579, plain, ( ~class_Lattices_Osemilattice__inf(_u1540) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1540), _u1541), _u1542)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1540), _u1541), _u1542) = _u1541) )).
% 12.54/12.76 cnf(matrix-1580, plain, ( ~class_Lattices_Osemilattice__inf(_u1543) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1543), _u1544), _u1545)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1543), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1543), _u1546), _u1544)), _u1545)) )).
% 12.54/12.76 cnf(matrix-1581, plain, ( ~class_Lattices_Osemilattice__inf(_u1547) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1547), _u1548), _u1549)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1547), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1547), _u1548), _u1550)), _u1549)) )).
% 12.54/12.76 cnf(matrix-1582, plain, ( ~class_Lattices_Osemilattice__inf(_u1551) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1551), _u1552), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1551), _u1553), _u1554))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1551), _u1552), _u1553)) )).
% 12.54/12.76 cnf(matrix-1583, plain, ( ~class_Lattices_Osemilattice__inf(_u1551) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1551), _u1552), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1551), _u1553), _u1554))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1551), _u1552), _u1554)) )).
% 12.54/12.76 cnf(matrix-1584, plain, ( ~class_Lattices_Osemilattice__inf(_u1551) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1551), _u1552), _u1553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1551), _u1552), _u1554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1551), _u1552), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1551), _u1553), _u1554))) )).
% 12.54/12.76 cnf(matrix-1585, plain, ( ~class_Lattices_Osemilattice__inf(_u1555) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1555), _u1556), _u1557)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1555), _u1556), _u1557) = _u1556) )).
% 12.54/12.76 cnf(matrix-1586, plain, ( ~class_Lattices_Osemilattice__inf(_u1555) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1555), _u1556), _u1557) != _u1556) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1555), _u1556), _u1557)) )).
% 12.54/12.76 cnf(matrix-1587, plain, ( ~class_Lattices_Osemilattice__inf(_u1558) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1558), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1558), _u1559), _u1560)), _u1560)) )).
% 12.54/12.76 cnf(matrix-1588, plain, ( ~class_Lattices_Olattice(_u1561) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1561), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1561), _u1562), _u1563)), _u1563)) )).
% 12.54/12.76 cnf(matrix-1589, plain, ( ~class_Lattices_Osemilattice__inf(_u1564) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1564), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1564), _u1565), _u1566)), _u1565)) )).
% 12.54/12.76 cnf(matrix-1590, plain, ( ~class_Lattices_Olattice(_u1567) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1567), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1567), _u1568), _u1569)), _u1568)) )).
% 12.54/12.76 cnf(matrix-1591, plain, ( ~class_Lattices_Obounded__lattice__bot(_u1570) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1570), _u1571), _u1572) != c_Orderings_Obot__class_Obot(_u1570)) | ( _u1571 = c_Orderings_Obot__class_Obot(_u1570)) )).
% 12.54/12.76 cnf(matrix-1592, plain, ( ~class_Lattices_Obounded__lattice__bot(_u1570) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1570), _u1571), _u1572) != c_Orderings_Obot__class_Obot(_u1570)) | ( _u1572 = c_Orderings_Obot__class_Obot(_u1570)) )).
% 12.54/12.76 cnf(matrix-1593, plain, ( ~class_Lattices_Obounded__lattice__bot(_u1570) | ( _u1571 != c_Orderings_Obot__class_Obot(_u1570)) | ( _u1572 != c_Orderings_Obot__class_Obot(_u1570)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1570), _u1571), _u1572) = c_Orderings_Obot__class_Obot(_u1570)) )).
% 12.54/12.76 cnf(matrix-1594, plain, ( ~class_Lattices_Obounded__lattice__bot(_u1573) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1573), _u1574), c_Orderings_Obot__class_Obot(_u1573)) = _u1574) )).
% 12.54/12.76 cnf(matrix-1595, plain, ( ~class_Lattices_Obounded__lattice__bot(_u1575) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1575), c_Orderings_Obot__class_Obot(_u1575)), _u1576) = _u1576) )).
% 12.54/12.76 cnf(matrix-1596, plain, ( ~class_Lattices_Obounded__lattice__bot(_u1577) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1577), _u1578), c_Orderings_Obot__class_Obot(_u1577)) = c_Orderings_Obot__class_Obot(_u1577)) )).
% 12.54/12.76 cnf(matrix-1597, plain, ( ~class_Lattices_Obounded__lattice__bot(_u1579) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1579), c_Orderings_Obot__class_Obot(_u1579)), _u1580) = c_Orderings_Obot__class_Obot(_u1579)) )).
% 12.54/12.76 cnf(matrix-1598, plain, ( ~class_Lattices_Odistrib__lattice(_u1581) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1581), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1581), _u1582), _u1583)), _u1584) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1581), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1581), _u1582), _u1584)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1581), _u1583), _u1584))) )).
% 12.54/12.76 cnf(matrix-1599, plain, ( ~class_Lattices_Odistrib__lattice(_u1585) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1585), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1585), _u1586), _u1587)), _u1588) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1585), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1585), _u1586), _u1588)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1585), _u1587), _u1588))) )).
% 12.54/12.76 cnf(matrix-1600, plain, ( ~class_Lattices_Odistrib__lattice(_u1589) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1589), _u1590), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1589), _u1591), _u1592)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1589), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1589), _u1590), _u1591)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1589), _u1590), _u1592))) )).
% 12.54/12.76 cnf(matrix-1601, plain, ( ~class_Lattices_Odistrib__lattice(_u1593) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1593), _u1594), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1593), _u1595), _u1596)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1593), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1593), _u1594), _u1595)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1593), _u1594), _u1596))) )).
% 12.54/12.76 cnf(matrix-1602, plain, ( ~class_Lattices_Olattice(_u1597) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1597), _u1598), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1597), _u1598), _u1599)) = _u1598) )).
% 12.54/12.76 cnf(matrix-1603, plain, ( ~class_Groups_Oordered__ab__group__add(_u1600) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1600), _u1601), _u1602) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1600), _u1603), _u1604)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1600), _u1601), _u1602)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1600), _u1603), _u1604)) )).
% 12.54/12.76 cnf(matrix-1604, plain, ( ~class_Groups_Oordered__ab__group__add(_u1600) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1600), _u1601), _u1602) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1600), _u1603), _u1604)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1600), _u1603), _u1604)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1600), _u1601), _u1602)) )).
% 12.54/12.76 cnf(matrix-1605, plain, ( ~class_Orderings_Olinorder(_u1605) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1605), _u1606), _u1607)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1605, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1605), _u1606), c_Orderings_Obot__class_Obot(tc_fun(_u1605, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanAtMost(_u1605, _u1606, _u1607)) = c_SetInterval_Oord__class_OatLeastAtMost(_u1605, _u1606, _u1607)) )).
% 12.54/12.76 cnf(matrix-1606, plain, ( ~class_Orderings_Olinorder(_u1608) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1608), _u1609), _u1610)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1608, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u1608, _u1609, _u1610)), hAPP(hAPP(c_Set_Oinsert(_u1608), _u1610), c_Orderings_Obot__class_Obot(tc_fun(_u1608, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u1608, _u1609, _u1610)) )).
% 12.54/12.76 cnf(matrix-1607, plain, ( ~class_Orderings_Olinorder(_u1611) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1611), _u1612), _u1613)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1611, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1611, _u1612, _u1613)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u1611), _u1613)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u1611), _u1612)) )).
% 12.54/12.76 cnf(matrix-1608, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1618, tc_HOL_Obool)), _u1620), hAPP(hAPP(c_Set_Oinsert(_u1618), _u1622), _u1624))) | ~hBOOL(hAPP(hAPP(c_member(_u1618), _u1622), _u1624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1618, tc_HOL_Obool)), _u1620), _u1624)) )).
% 12.54/12.76 cnf(matrix-1609, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1618, tc_HOL_Obool)), _u1620), hAPP(hAPP(c_Set_Oinsert(_u1618), _u1622), _u1624))) | hBOOL(hAPP(hAPP(c_member(_u1618), _u1622), _u1624)) | ~hBOOL(hAPP(hAPP(c_member(_u1618), _u1622), _u1620)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1618, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1618, tc_HOL_Obool)), _u1620), hAPP(hAPP(c_Set_Oinsert(_u1618), _u1622), c_Orderings_Obot__class_Obot(tc_fun(_u1618, tc_HOL_Obool))))), _u1624)) )).
% 12.54/12.76 cnf(matrix-1610, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1618, tc_HOL_Obool)), _u1620), hAPP(hAPP(c_Set_Oinsert(_u1618), _u1622), _u1624))) | hBOOL(hAPP(hAPP(c_member(_u1618), _u1622), _u1624)) | hBOOL(hAPP(hAPP(c_member(_u1618), _u1622), _u1620)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1618, tc_HOL_Obool)), _u1620), _u1624)) )).
% 12.54/12.76 cnf(matrix-1611, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1619, tc_HOL_Obool)), _u1621), hAPP(hAPP(c_Set_Oinsert(_u1619), _u1623), _u1625))) | hBOOL(hAPP(hAPP(c_member(_u1619), _u1623), _u1625)) | hBOOL(hAPP(hAPP(c_member(_u1619), _u1623), _u1621)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1619, tc_HOL_Obool)), _u1621), _u1625)) )).
% 12.54/12.76 cnf(matrix-1612, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1619, tc_HOL_Obool)), _u1621), hAPP(hAPP(c_Set_Oinsert(_u1619), _u1623), _u1625))) | hBOOL(hAPP(hAPP(c_member(_u1619), _u1623), _u1625)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1619, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1619, tc_HOL_Obool)), _u1621), hAPP(hAPP(c_Set_Oinsert(_u1619), _u1623), c_Orderings_Obot__class_Obot(tc_fun(_u1619, tc_HOL_Obool))))), _u1625)) | ~hBOOL(hAPP(hAPP(c_member(_u1619), _u1623), _u1621)) )).
% 12.54/12.76 cnf(matrix-1613, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1619, tc_HOL_Obool)), _u1621), hAPP(hAPP(c_Set_Oinsert(_u1619), _u1623), _u1625))) | hBOOL(hAPP(hAPP(c_member(_u1619), _u1623), _u1625)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1619, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1619, tc_HOL_Obool)), _u1621), hAPP(hAPP(c_Set_Oinsert(_u1619), _u1623), c_Orderings_Obot__class_Obot(tc_fun(_u1619, tc_HOL_Obool))))), _u1625)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1619, tc_HOL_Obool)), _u1621), _u1625)) )).
% 12.54/12.76 cnf(matrix-1614, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1619, tc_HOL_Obool)), _u1621), hAPP(hAPP(c_Set_Oinsert(_u1619), _u1623), _u1625))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1619, tc_HOL_Obool)), _u1621), _u1625)) | ~hBOOL(hAPP(hAPP(c_member(_u1619), _u1623), _u1625)) )).
% 12.54/12.76 cnf(matrix-1615, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1619, tc_HOL_Obool)), _u1621), hAPP(hAPP(c_Set_Oinsert(_u1619), _u1623), _u1625))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1619, tc_HOL_Obool)), _u1621), _u1625)) | hBOOL(hAPP(hAPP(c_member(_u1619), _u1623), _u1621)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1619, tc_HOL_Obool)), _u1621), _u1625)) )).
% 12.54/12.76 cnf(matrix-1616, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1619, tc_HOL_Obool)), _u1621), hAPP(hAPP(c_Set_Oinsert(_u1619), _u1623), _u1625))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1619, tc_HOL_Obool)), _u1621), _u1625)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1619, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1619, tc_HOL_Obool)), _u1621), hAPP(hAPP(c_Set_Oinsert(_u1619), _u1623), c_Orderings_Obot__class_Obot(tc_fun(_u1619, tc_HOL_Obool))))), _u1625)) | ~hBOOL(hAPP(hAPP(c_member(_u1619), _u1623), _u1621)) )).
% 12.54/12.76 cnf(matrix-1617, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1619, tc_HOL_Obool)), _u1621), hAPP(hAPP(c_Set_Oinsert(_u1619), _u1623), _u1625))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1619, tc_HOL_Obool)), _u1621), _u1625)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1619, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1619, tc_HOL_Obool)), _u1621), hAPP(hAPP(c_Set_Oinsert(_u1619), _u1623), c_Orderings_Obot__class_Obot(tc_fun(_u1619, tc_HOL_Obool))))), _u1625)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1619, tc_HOL_Obool)), _u1621), _u1625)) )).
% 12.54/12.76 cnf(matrix-1618, plain, ( ~class_Orderings_Olinorder(_u1626) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1626), _u1627), _u1628)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1626, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u1626), _u1627)), c_SetInterval_Oord__class_OatLeastAtMost(_u1626, _u1627, _u1628)) = hAPP(c_SetInterval_Oord__class_OatMost(_u1626), _u1628)) )).
% 12.54/12.76 cnf(matrix-1619, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1630, tc_HOL_Obool)), _u1631), _u1632)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1630, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1630, tc_HOL_Obool)), _u1631), hAPP(c_Set_OCollect(_u1630), _u1633))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1630, tc_HOL_Obool)), _u1632), hAPP(c_Set_OCollect(_u1630), _u1634)))) | hBOOL(hAPP(hAPP(c_member(_u1630), skolem42(_u1634, _u1633, _u1632, _u1631, _u1630)), _u1631)) )).
% 12.54/12.76 cnf(matrix-1620, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1630, tc_HOL_Obool)), _u1631), _u1632)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1630, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1630, tc_HOL_Obool)), _u1631), hAPP(c_Set_OCollect(_u1630), _u1633))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1630, tc_HOL_Obool)), _u1632), hAPP(c_Set_OCollect(_u1630), _u1634)))) | hBOOL(hAPP(_u1633, skolem42(_u1634, _u1633, _u1632, _u1631, _u1630))) )).
% 12.54/12.76 cnf(matrix-1621, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1630, tc_HOL_Obool)), _u1631), _u1632)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1630, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1630, tc_HOL_Obool)), _u1631), hAPP(c_Set_OCollect(_u1630), _u1633))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1630, tc_HOL_Obool)), _u1632), hAPP(c_Set_OCollect(_u1630), _u1634)))) | ~hBOOL(hAPP(_u1634, skolem42(_u1634, _u1633, _u1632, _u1631, _u1630))) )).
% 12.54/12.76 cnf(matrix-1622, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1635), _u1636), _u1637)) | ~c_Nitpick_Ofold__graph_H(_u1635, _u1638, _u1639, _u1640, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1635, tc_HOL_Obool)), _u1637), hAPP(hAPP(c_Set_Oinsert(_u1635), _u1636), c_Orderings_Obot__class_Obot(tc_fun(_u1635, tc_HOL_Obool)))), _u1641) | c_Nitpick_Ofold__graph_H(_u1635, _u1638, _u1639, _u1640, _u1637, hAPP(hAPP(_u1639, _u1636), _u1641)) )).
% 12.54/12.76 cnf(matrix-1623, plain, ( ~class_Orderings_Olinorder(_u1642) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1642), _u1643), _u1644)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1642, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u1642, _u1643, _u1644)), hAPP(c_SetInterval_Oord__class_OatLeast(_u1642), _u1644)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u1642), _u1643)) )).
% 12.54/12.76 cnf(matrix-1624, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u1647, tc_HOL_Obool)), _u1648), _u1649)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1647, tc_HOL_Obool)), _u1648), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1647, tc_HOL_Obool), _u1649)) = c_Orderings_Obot__class_Obot(tc_fun(_u1647, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1647, tc_HOL_Obool)), skolem43(_u1649, _u1648, _u1647)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u1647, tc_HOL_Obool)), _u1648), _u1649))) )).
% 12.54/12.76 cnf(matrix-1625, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u1647, tc_HOL_Obool)), _u1648), _u1649)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1647, tc_HOL_Obool)), _u1648), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1647, tc_HOL_Obool), _u1649)) = c_Orderings_Obot__class_Obot(tc_fun(_u1647, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1647, tc_HOL_Obool)), skolem44(_u1649, _u1648, _u1647)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u1647, tc_HOL_Obool)), _u1648), _u1649))) )).
% 12.54/12.76 cnf(matrix-1626, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u1647, tc_HOL_Obool)), _u1648), _u1649)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1647, tc_HOL_Obool)), _u1648), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1647, tc_HOL_Obool), _u1649)) = c_Orderings_Obot__class_Obot(tc_fun(_u1647, tc_HOL_Obool))) | ( skolem43(_u1649, _u1648, _u1647) != skolem44(_u1649, _u1648, _u1647)) )).
% 12.54/12.76 cnf(matrix-1627, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u1647, tc_HOL_Obool)), _u1648), _u1649)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1647, tc_HOL_Obool)), _u1648), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1647, tc_HOL_Obool), _u1649)) = c_Orderings_Obot__class_Obot(tc_fun(_u1647, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1647, tc_HOL_Obool)), skolem43(_u1649, _u1648, _u1647)), skolem44(_u1649, _u1648, _u1647)) != c_Orderings_Obot__class_Obot(tc_fun(_u1647, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1628, plain, ( ~class_Orderings_Oorder(_u1650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1650, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1650, _u1651, _u1652)), c_SetInterval_Oord__class_OatLeastAtMost(_u1650, _u1653, _u1654))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1650), _u1651), _u1652)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1650), _u1653), _u1651)) )).
% 12.54/12.76 cnf(matrix-1629, plain, ( ~class_Orderings_Oorder(_u1650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1650, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1650, _u1651, _u1652)), c_SetInterval_Oord__class_OatLeastAtMost(_u1650, _u1653, _u1654))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1650), _u1651), _u1652)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1650), _u1652), _u1654)) )).
% 12.54/12.76 cnf(matrix-1630, plain, ( ~class_Orderings_Oorder(_u1650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1650, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1650, _u1651, _u1652)), c_SetInterval_Oord__class_OatLeastAtMost(_u1650, _u1653, _u1654))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1650), _u1651), _u1652)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1650), _u1653), _u1651)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1650), _u1652), _u1654)) )).
% 12.54/12.76 cnf(matrix-1631, plain, ( ~class_Orderings_Oorder(_u1650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1650, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1650, _u1651, _u1652)), c_SetInterval_Oord__class_OatLeastAtMost(_u1650, _u1653, _u1654))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1650), _u1653), _u1654)) )).
% 12.54/12.76 cnf(matrix-1632, plain, ( ~class_Orderings_Oorder(_u1650) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1650, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1650, _u1651, _u1652)), c_SetInterval_Oord__class_OatLeastAtMost(_u1650, _u1653, _u1654))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1650), _u1653), _u1654)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1650), _u1651), _u1652)) )).
% 12.54/12.76 cnf(matrix-1633, plain, ( ~class_Orderings_Oorder(_u1650) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1650, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1650, _u1651, _u1652)), c_SetInterval_Oord__class_OatLeastAtMost(_u1650, _u1653, _u1654))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1650), _u1653), _u1654)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1650), _u1653), _u1651)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1650), _u1652), _u1654)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1650), _u1653), _u1651)) )).
% 12.54/12.76 cnf(matrix-1634, plain, ( ~class_Orderings_Oorder(_u1650) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1650, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1650, _u1651, _u1652)), c_SetInterval_Oord__class_OatLeastAtMost(_u1650, _u1653, _u1654))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1650), _u1653), _u1654)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1650), _u1653), _u1651)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1650), _u1652), _u1654)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1650), _u1652), _u1654)) )).
% 12.54/12.76 cnf(matrix-1635, plain, ( ~class_Orderings_Olinorder(_u1655) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1655), _u1656), _u1657)) | ( _u1656 = _u1657) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1655), _u1657), _u1656)) )).
% 12.54/12.76 cnf(matrix-1636, plain, ( ~class_Orderings_Opreorder(_u1658) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1658), _u1659), _u1660)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1658), _u1660), _u1659)) )).
% 12.54/12.76 cnf(matrix-1637, plain, ( ~class_Orderings_Oorder(_u1661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1661), _u1662), _u1663)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1661), _u1664), _u1662)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1661), _u1664), _u1663)) )).
% 12.54/12.76 cnf(matrix-1638, plain, ( ~class_Orderings_Opreorder(_u1665) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), _u1666), _u1667)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), _u1667), _u1668)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1665), _u1666), _u1668)) )).
% 12.54/12.76 cnf(matrix-1639, plain, ( ~class_Orderings_Oorder(_u1669) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), _u1670), _u1671)) | ( _u1670 != _u1672) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1669), _u1672), _u1671)) )).
% 12.54/12.76 cnf(matrix-1640, plain, ( ~class_Orderings_Oord(_u1673) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1673), _u1674), _u1675)) | ( _u1675 != _u1676) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1673), _u1674), _u1676)) )).
% 12.54/12.76 cnf(matrix-1641, plain, ( ~class_Orderings_Oorder(_u1677) | ( _u1678 != _u1679) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1677), _u1680), _u1679)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1677), _u1680), _u1678)) )).
% 12.54/12.76 cnf(matrix-1642, plain, ( ~class_Orderings_Oord(_u1681) | ( _u1682 != _u1683) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1681), _u1683), _u1684)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1681), _u1682), _u1684)) )).
% 12.54/12.76 cnf(matrix-1643, plain, ( ~class_Orderings_Oorder(_u1685) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1685), _u1686), _u1687)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1685), _u1687), _u1686)) )).
% 12.54/12.76 cnf(matrix-1644, plain, ( ~class_Orderings_Opreorder(_u1688) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1688), _u1689), _u1690)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1688), _u1690), _u1689)) )).
% 12.54/12.76 cnf(matrix-1645, plain, ( ~class_Orderings_Oorder(_u1691) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1691), _u1692), _u1693)) | ( _u1693 != _u1692) )).
% 12.54/12.76 cnf(matrix-1646, plain, ( ~class_Orderings_Oorder(_u1694) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1694), _u1695), _u1696)) | ( _u1695 != _u1696) )).
% 12.54/12.76 cnf(matrix-1647, plain, ( ~class_Orderings_Opreorder(_u1697) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1697), _u1698), _u1699)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1697), _u1699), _u1698)) )).
% 12.54/12.76 cnf(matrix-1648, plain, ( ~class_Orderings_Opreorder(_u1700) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1700), _u1701), _u1702)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1700), _u1702), _u1701)) )).
% 12.54/12.76 cnf(matrix-1649, plain, ( ~class_Orderings_Oorder(_u1703) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1703), _u1704), _u1705)) | ( _u1704 != _u1705) )).
% 12.54/12.76 cnf(matrix-1650, plain, ( ~class_Orderings_Olinorder(_u1706) | ( _u1707 = _u1708) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1706), _u1707), _u1708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1706), _u1708), _u1707)) )).
% 12.54/12.76 cnf(matrix-1651, plain, ( ~class_Orderings_Olinorder(_u1709) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1709), _u1710), _u1711)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1709), _u1711), _u1710)) | ( _u1711 = _u1710) )).
% 12.54/12.76 cnf(matrix-1652, plain, ( ~class_Orderings_Olinorder(_u1709) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1709), _u1710), _u1711)) | ( _u1711 != _u1710) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1709), _u1711), _u1710)) )).
% 12.54/12.76 cnf(matrix-1653, plain, ( ~class_Orderings_Olinorder(_u1712) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1712), _u1713), _u1714)) | ( _u1713 = _u1714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1712), _u1714), _u1713)) )).
% 12.54/12.76 cnf(matrix-1654, plain, ( ~class_Orderings_Olinorder(_u1715) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1715), _u1716), _u1717)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1715), _u1717), _u1716)) | ( _u1716 = _u1717) )).
% 12.54/12.76 cnf(matrix-1655, plain, ( ~class_Orderings_Olinorder(_u1715) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1715), _u1716), _u1717)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1715), _u1717), _u1716)) )).
% 12.54/12.76 cnf(matrix-1656, plain, ( ~class_Orderings_Olinorder(_u1715) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1715), _u1716), _u1717)) | ( _u1716 != _u1717) )).
% 12.54/12.76 cnf(matrix-1657, plain, ( ~class_Orderings_Olinorder(_u1718) | ( _u1719 = _u1720) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1718), _u1719), _u1720)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1718), _u1720), _u1719)) )).
% 12.54/12.76 cnf(matrix-1658, plain, ( ~class_Orderings_Olinorder(_u1718) | ( _u1719 != _u1720) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1718), _u1719), _u1720)) )).
% 12.54/12.76 cnf(matrix-1659, plain, ( ~class_Orderings_Olinorder(_u1718) | ( _u1719 != _u1720) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1718), _u1720), _u1719)) )).
% 12.54/12.76 cnf(matrix-1660, plain, ( ~class_Orderings_Opreorder(_u1721) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1721), _u1722), _u1722)) )).
% 12.54/12.76 cnf(matrix-1661, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1723, tc_HOL_Obool)), _u1724), _u1725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1723, tc_HOL_Obool)), _u1725), _u1726)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1723, tc_HOL_Obool)), _u1724), _u1726)) )).
% 12.54/12.76 cnf(matrix-1662, plain, ( ~class_Orderings_Oorder(_u1727) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1727), _u1728), _u1729)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u1727, _u1729, _u1728) = c_Orderings_Obot__class_Obot(tc_fun(_u1727, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1663, plain, ( ~class_Orderings_Olinorder(_u1730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1730, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u1730), _u1731)), hAPP(c_SetInterval_Oord__class_OlessThan(_u1730), _u1732))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1730), _u1731), _u1732)) )).
% 12.54/12.76 cnf(matrix-1664, plain, ( ~class_Orderings_Olinorder(_u1730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1730), _u1731), _u1732)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1730, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u1730), _u1731)), hAPP(c_SetInterval_Oord__class_OlessThan(_u1730), _u1732))) )).
% 12.54/12.76 cnf(matrix-1665, plain, ( ~class_Groups_Oordered__ab__group__add(_u1733) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1733), _u1734), _u1735) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1733), _u1736), _u1737)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1733), _u1734), _u1735)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1733), _u1736), _u1737)) )).
% 12.54/12.76 cnf(matrix-1666, plain, ( ~class_Groups_Oordered__ab__group__add(_u1733) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1733), _u1734), _u1735) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1733), _u1736), _u1737)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1733), _u1736), _u1737)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1733), _u1734), _u1735)) )).
% 12.54/12.76 cnf(matrix-1667, plain, ( c_Nitpick_Ofold__graph_H(_u1738, _u1739, _u1740, _u1741, c_Orderings_Obot__class_Obot(tc_fun(_u1738, tc_HOL_Obool)), _u1741) )).
% 12.54/12.76 cnf(matrix-1668, plain, ( c_Nitpick_Ofold__graph_H(_u1742, _u1743, _u1744, _u1745, c_Orderings_Obot__class_Obot(tc_fun(_u1742, tc_HOL_Obool)), _u1745) )).
% 12.54/12.76 cnf(matrix-1669, plain, ( ~class_Orderings_Oord(_u1746) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1747, _u1746)), _u1748), _u1749)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1747, _u1746)), _u1748), _u1749)) )).
% 12.54/12.76 cnf(matrix-1670, plain, ( ~class_Orderings_Oord(_u1746) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1747, _u1746)), _u1748), _u1749)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1747, _u1746)), _u1749), _u1748)) )).
% 12.54/12.76 cnf(matrix-1671, plain, ( ~class_Orderings_Oord(_u1746) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1747, _u1746)), _u1748), _u1749)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1747, _u1746)), _u1749), _u1748)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1747, _u1746)), _u1748), _u1749)) )).
% 12.54/12.76 cnf(matrix-1672, plain, ( ~class_Orderings_Olinorder(_u1750) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1750), _u1751), _u1752)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1750), _u1752), _u1751)) )).
% 12.54/12.76 cnf(matrix-1673, plain, ( ~class_Orderings_Olinorder(_u1750) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1750), _u1752), _u1751)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1750), _u1751), _u1752)) )).
% 12.54/12.76 cnf(matrix-1674, plain, ( ~class_Orderings_Olinorder(_u1753) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1753), _u1754), _u1755)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1753), _u1755), _u1754)) )).
% 12.54/12.76 cnf(matrix-1675, plain, ( ~class_Orderings_Olinorder(_u1753) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1753), _u1755), _u1754)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1753), _u1754), _u1755)) )).
% 12.54/12.76 cnf(matrix-1676, plain, ( ~class_Orderings_Olinorder(_u1756) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1756), _u1757), _u1758)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1756), _u1758), _u1757)) )).
% 12.54/12.76 cnf(matrix-1677, plain, ( ~class_Orderings_Oorder(_u1759) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1759), _u1760), _u1761)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1759), _u1760), _u1761)) )).
% 12.54/12.76 cnf(matrix-1678, plain, ( ~class_Orderings_Oorder(_u1759) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1759), _u1760), _u1761)) | ( _u1760 != _u1761) )).
% 12.54/12.76 cnf(matrix-1679, plain, ( ~class_Orderings_Oorder(_u1759) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1759), _u1760), _u1761)) | ( _u1760 = _u1761) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1759), _u1760), _u1761)) )).
% 12.54/12.76 cnf(matrix-1680, plain, ( ~class_Orderings_Opreorder(_u1762) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1762), _u1763), _u1764)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1762), _u1763), _u1764)) )).
% 12.54/12.76 cnf(matrix-1681, plain, ( ~class_Orderings_Opreorder(_u1762) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1762), _u1763), _u1764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1762), _u1764), _u1763)) )).
% 12.54/12.76 cnf(matrix-1682, plain, ( ~class_Orderings_Opreorder(_u1762) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1762), _u1763), _u1764)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1762), _u1764), _u1763)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1762), _u1763), _u1764)) )).
% 12.54/12.76 cnf(matrix-1683, plain, ( ~class_Orderings_Oorder(_u1765) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1765), _u1766), _u1767)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1765), _u1766), _u1767)) | ( _u1766 = _u1767) )).
% 12.54/12.76 cnf(matrix-1684, plain, ( ~class_Orderings_Oorder(_u1765) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1765), _u1766), _u1767)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1765), _u1766), _u1767)) )).
% 12.54/12.76 cnf(matrix-1685, plain, ( ~class_Orderings_Oorder(_u1765) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1765), _u1766), _u1767)) | ( _u1766 != _u1767) )).
% 12.54/12.76 cnf(matrix-1686, plain, ( ~class_Orderings_Olinorder(_u1768) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1768), _u1769), _u1770)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1768), _u1770), _u1769)) )).
% 12.54/12.76 cnf(matrix-1687, plain, ( ~class_Orderings_Olinorder(_u1771) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1771), _u1772), _u1773)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1771), _u1773), _u1772)) )).
% 12.54/12.76 cnf(matrix-1688, plain, ( ~class_Orderings_Olinorder(_u1774) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1774), _u1775), _u1776)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1774), _u1775), _u1776)) | ( _u1775 = _u1776) )).
% 12.54/12.76 cnf(matrix-1689, plain, ( ~class_Orderings_Olinorder(_u1774) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1774), _u1775), _u1776)) | ( _u1775 != _u1776) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1774), _u1775), _u1776)) )).
% 12.54/12.76 cnf(matrix-1690, plain, ( ~class_Orderings_Oorder(_u1777) | ( _u1778 = _u1779) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1777), _u1778), _u1779)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1777), _u1778), _u1779)) )).
% 12.54/12.76 cnf(matrix-1691, plain, ( ~class_Orderings_Oorder(_u1780) | ( _u1781 = _u1782) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1780), _u1782), _u1781)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1780), _u1782), _u1781)) )).
% 12.54/12.76 cnf(matrix-1692, plain, ( ~class_Orderings_Olinorder(_u1783) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1783), _u1784), _u1785)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1783), _u1785), _u1784)) )).
% 12.54/12.76 cnf(matrix-1693, plain, ( ~class_Orderings_Opreorder(_u1786) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1786), _u1787), _u1788)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1786), _u1787), _u1788)) )).
% 12.54/12.76 cnf(matrix-1694, plain, ( ~class_Orderings_Olinorder(_u1789) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1789), _u1790), _u1791)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1789), _u1790), _u1791)) | ( _u1790 = _u1791) )).
% 12.54/12.76 cnf(matrix-1695, plain, ( ~class_Orderings_Olinorder(_u1789) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1789), _u1790), _u1791)) | ( _u1790 != _u1791) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1789), _u1790), _u1791)) )).
% 12.54/12.76 cnf(matrix-1696, plain, ( ~class_Orderings_Oorder(_u1792) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1792), _u1793), _u1794)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1792), _u1793), _u1794)) | ( _u1793 = _u1794) )).
% 12.54/12.76 cnf(matrix-1697, plain, ( ~class_Orderings_Oorder(_u1795) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1795), _u1796), _u1797)) | ( _u1796 = _u1797) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1795), _u1796), _u1797)) )).
% 12.54/12.76 cnf(matrix-1698, plain, ( ~class_Orderings_Oorder(_u1798) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1798), _u1799), _u1800)) | ( _u1800 = _u1799) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1798), _u1799), _u1800)) )).
% 12.54/12.76 cnf(matrix-1699, plain, ( ~class_Orderings_Opreorder(_u1801) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1801), _u1802), _u1803)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1801), _u1803), _u1804)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1801), _u1802), _u1804)) )).
% 12.54/12.76 cnf(matrix-1700, plain, ( ~class_Orderings_Oorder(_u1805) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1805), _u1806), _u1807)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1805), _u1808), _u1806)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1805), _u1808), _u1807)) )).
% 12.54/12.76 cnf(matrix-1701, plain, ( ~class_Orderings_Opreorder(_u1809) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1809), _u1810), _u1811)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1809), _u1811), _u1812)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1809), _u1810), _u1812)) )).
% 12.54/12.76 cnf(matrix-1702, plain, ( ~class_Orderings_Oorder(_u1813) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1813), _u1814), _u1815)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1813), _u1816), _u1814)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1813), _u1816), _u1815)) )).
% 12.54/12.76 cnf(matrix-1703, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1817, tc_HOL_Obool)), _u1818), _u1819)) | ~hBOOL(hAPP(hAPP(c_member(_u1817), _u1820), _u1818)) | hBOOL(hAPP(hAPP(c_member(_u1817), _u1820), _u1819)) )).
% 12.54/12.76 cnf(matrix-1704, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1821, tc_HOL_Obool)), _u1822), c_Orderings_Obot__class_Obot(tc_fun(_u1821, tc_HOL_Obool)))) )).
% 12.54/12.76 cnf(matrix-1705, plain, ( ~class_Lattices_Osemilattice__sup(_u1823) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1823), _u1824), _u1825)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1823), _u1824), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1823), _u1825), _u1826))) )).
% 12.54/12.76 cnf(matrix-1706, plain, ( ~class_Lattices_Osemilattice__sup(_u1827) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1827), _u1828), _u1829)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1827), _u1828), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1827), _u1830), _u1829))) )).
% 12.54/12.76 cnf(matrix-1707, plain, ( ~class_Lattices_Osemilattice__inf(_u1831) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1831), _u1832), _u1833)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1831), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1831), _u1832), _u1834)), _u1833)) )).
% 12.54/12.76 cnf(matrix-1708, plain, ( ~class_Lattices_Osemilattice__inf(_u1835) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1835), _u1836), _u1837)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1835), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1835), _u1838), _u1836)), _u1837)) )).
% 12.54/12.76 cnf(matrix-1709, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1839, tc_HOL_Obool)), _u1840), _u1841)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1839, tc_HOL_Obool)), _u1841), _u1842)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1839, tc_HOL_Obool)), _u1840), _u1842)) )).
% 12.54/12.76 cnf(matrix-1710, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1843, tc_HOL_Obool)), _u1844), _u1845)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1843, tc_HOL_Obool)), _u1845), _u1846)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1843, tc_HOL_Obool)), _u1844), _u1846)) )).
% 12.54/12.76 cnf(matrix-1711, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1847, tc_HOL_Obool)), _u1848), _u1849)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1847, tc_HOL_Obool)), _u1848), _u1849)) )).
% 12.54/12.76 cnf(matrix-1712, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1853, tc_HOL_Obool)), _u1855), _u1857)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1853, tc_HOL_Obool)), _u1855), _u1857)) | ( _u1855 = _u1857) )).
% 12.54/12.76 cnf(matrix-1713, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1854, tc_HOL_Obool)), _u1856), _u1858)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1854, tc_HOL_Obool)), _u1856), _u1858)) )).
% 12.54/12.76 cnf(matrix-1714, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1854, tc_HOL_Obool)), _u1856), _u1858)) | ( _u1856 != _u1858) )).
% 12.54/12.76 cnf(matrix-1715, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1862, tc_HOL_Obool)), _u1864), _u1866)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1862, tc_HOL_Obool)), _u1864), _u1866)) )).
% 12.54/12.76 cnf(matrix-1716, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1862, tc_HOL_Obool)), _u1864), _u1866)) | ( _u1864 != _u1866) )).
% 12.54/12.76 cnf(matrix-1717, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1863, tc_HOL_Obool)), _u1865), _u1867)) | ( _u1865 = _u1867) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1863, tc_HOL_Obool)), _u1865), _u1867)) )).
% 12.54/12.76 cnf(matrix-1718, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1870) | ~class_Orderings_Olinorder(_u1870) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1870), _u1871), c_Complete__Lattice_OSup__class_OSup(_u1870, _u1872))) | hBOOL(hAPP(hAPP(c_member(_u1870), skolem45(_u1872, _u1871, _u1870)), _u1872)) )).
% 12.54/12.76 cnf(matrix-1719, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1870) | ~class_Orderings_Olinorder(_u1870) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1870), _u1871), c_Complete__Lattice_OSup__class_OSup(_u1870, _u1872))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1870), _u1871), skolem45(_u1872, _u1871, _u1870))) )).
% 12.54/12.76 cnf(matrix-1720, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1870) | ~class_Orderings_Olinorder(_u1870) | ~hBOOL(hAPP(hAPP(c_member(_u1870), _u1869), _u1872)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1870), _u1871), _u1869)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1870), _u1871), c_Complete__Lattice_OSup__class_OSup(_u1870, _u1872))) )).
% 12.54/12.76 cnf(matrix-1721, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1875) | ~class_Orderings_Olinorder(_u1875) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1875), c_Complete__Lattice_OInf__class_OInf(_u1875, _u1876)), _u1877)) | hBOOL(hAPP(hAPP(c_member(_u1875), skolem46(_u1877, _u1876, _u1875)), _u1876)) )).
% 12.54/12.76 cnf(matrix-1722, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1875) | ~class_Orderings_Olinorder(_u1875) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1875), c_Complete__Lattice_OInf__class_OInf(_u1875, _u1876)), _u1877)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1875), skolem46(_u1877, _u1876, _u1875)), _u1877)) )).
% 12.54/12.76 cnf(matrix-1723, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1875) | ~class_Orderings_Olinorder(_u1875) | ~hBOOL(hAPP(hAPP(c_member(_u1875), _u1874), _u1876)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1875), _u1874), _u1877)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1875), c_Complete__Lattice_OInf__class_OInf(_u1875, _u1876)), _u1877)) )).
% 12.54/12.76 cnf(matrix-1724, plain, ( ~class_Orderings_Oord(_u1878) | ~hBOOL(hAPP(hAPP(c_member(_u1878), _u1879), hAPP(c_SetInterval_Oord__class_OlessThan(_u1878), _u1880))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), _u1879), _u1880)) )).
% 12.54/12.76 cnf(matrix-1725, plain, ( ~class_Orderings_Oord(_u1878) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1878), _u1879), _u1880)) | hBOOL(hAPP(hAPP(c_member(_u1878), _u1879), hAPP(c_SetInterval_Oord__class_OlessThan(_u1878), _u1880))) )).
% 12.54/12.76 cnf(matrix-1726, plain, ( ~class_Orderings_Olinorder(_u1881) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1881), _u1882), _u1883)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1881), _u1883), _u1884)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1881, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u1881, _u1882, _u1883)), c_SetInterval_Oord__class_OatLeastAtMost(_u1881, _u1883, _u1884)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u1881, _u1882, _u1884)) )).
% 12.54/12.76 cnf(matrix-1727, plain, ( ~class_Orderings_Oorder(_u1885) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u1885, _u1886, _u1887) != c_Orderings_Obot__class_Obot(tc_fun(_u1885, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1885), _u1886), _u1887)) )).
% 12.54/12.76 cnf(matrix-1728, plain, ( ~class_Orderings_Oorder(_u1885) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1885), _u1886), _u1887)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u1885, _u1886, _u1887) = c_Orderings_Obot__class_Obot(tc_fun(_u1885, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1729, plain, ( ~class_Orderings_Oorder(_u1888) | ( c_Orderings_Obot__class_Obot(tc_fun(_u1888, tc_HOL_Obool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(_u1888, _u1889, _u1890)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1888), _u1889), _u1890)) )).
% 12.54/12.76 cnf(matrix-1730, plain, ( ~class_Orderings_Oorder(_u1888) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1888), _u1889), _u1890)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u1888, tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u1888, _u1889, _u1890)) )).
% 12.54/12.76 cnf(matrix-1731, plain, ( ~class_Orderings_Oord(_u1891) | ~hBOOL(hAPP(hAPP(c_member(_u1891), _u1892), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u1891), _u1893))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1891), _u1893), _u1892)) )).
% 12.54/12.76 cnf(matrix-1732, plain, ( ~class_Orderings_Oord(_u1891) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1891), _u1893), _u1892)) | hBOOL(hAPP(hAPP(c_member(_u1891), _u1892), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u1891), _u1893))) )).
% 12.54/12.76 cnf(matrix-1733, plain, ( ~class_Orderings_Oorder(_u1894) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u1894, _u1895, _u1896) != c_Orderings_Obot__class_Obot(tc_fun(_u1894, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1894), _u1895), _u1896)) )).
% 12.54/12.76 cnf(matrix-1734, plain, ( ~class_Orderings_Oorder(_u1894) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1894), _u1895), _u1896)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u1894, _u1895, _u1896) = c_Orderings_Obot__class_Obot(tc_fun(_u1894, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1735, plain, ( ~class_Orderings_Oorder(_u1897) | ( c_Orderings_Obot__class_Obot(tc_fun(_u1897, tc_HOL_Obool)) != c_SetInterval_Oord__class_OatLeastAtMost(_u1897, _u1898, _u1899)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1897), _u1898), _u1899)) )).
% 12.54/12.76 cnf(matrix-1736, plain, ( ~class_Orderings_Oorder(_u1897) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1897), _u1898), _u1899)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u1897, tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(_u1897, _u1898, _u1899)) )).
% 12.54/12.76 cnf(matrix-1737, plain, ( ~class_Orderings_Oorder(_u1900) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1900, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1900, _u1901, _u1902)), c_SetInterval_Oord__class_OatLeastAtMost(_u1900, _u1903, _u1904))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1900), _u1901), _u1902)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1900), _u1903), _u1901)) )).
% 12.54/12.76 cnf(matrix-1738, plain, ( ~class_Orderings_Oorder(_u1900) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1900, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1900, _u1901, _u1902)), c_SetInterval_Oord__class_OatLeastAtMost(_u1900, _u1903, _u1904))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1900), _u1901), _u1902)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1900), _u1902), _u1904)) )).
% 12.54/12.76 cnf(matrix-1739, plain, ( ~class_Orderings_Oorder(_u1900) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1900, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1900, _u1901, _u1902)), c_SetInterval_Oord__class_OatLeastAtMost(_u1900, _u1903, _u1904))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1900), _u1901), _u1902)) )).
% 12.54/12.76 cnf(matrix-1740, plain, ( ~class_Orderings_Oorder(_u1900) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1900, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1900, _u1901, _u1902)), c_SetInterval_Oord__class_OatLeastAtMost(_u1900, _u1903, _u1904))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1900), _u1903), _u1901)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1900), _u1902), _u1904)) )).
% 12.54/12.76 cnf(matrix-1741, plain, ( ~class_Orderings_Oorder(_u1905) | ( _u1906 != _u1907) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u1905, _u1906, _u1907) = hAPP(hAPP(c_Set_Oinsert(_u1905), _u1906), c_Orderings_Obot__class_Obot(tc_fun(_u1905, tc_HOL_Obool)))) )).
% 12.54/12.76 cnf(matrix-1742, plain, ( ~class_Orderings_Oorder(_u1908) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u1908, _u1909, _u1910) != hAPP(hAPP(c_Set_Oinsert(_u1908), _u1911), c_Orderings_Obot__class_Obot(tc_fun(_u1908, tc_HOL_Obool)))) | ( _u1909 = _u1910) )).
% 12.54/12.76 cnf(matrix-1743, plain, ( ~class_Orderings_Oorder(_u1908) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u1908, _u1909, _u1910) != hAPP(hAPP(c_Set_Oinsert(_u1908), _u1911), c_Orderings_Obot__class_Obot(tc_fun(_u1908, tc_HOL_Obool)))) | ( _u1910 = _u1911) )).
% 12.54/12.76 cnf(matrix-1744, plain, ( ~class_Orderings_Oorder(_u1908) | ( _u1909 != _u1910) | ( _u1910 != _u1911) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u1908, _u1909, _u1910) = hAPP(hAPP(c_Set_Oinsert(_u1908), _u1911), c_Orderings_Obot__class_Obot(tc_fun(_u1908, tc_HOL_Obool)))) )).
% 12.54/12.76 cnf(matrix-1745, plain, ( ~class_Orderings_Oorder(_u1912) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u1912, _u1913, _u1913) = hAPP(hAPP(c_Set_Oinsert(_u1912), _u1913), c_Orderings_Obot__class_Obot(tc_fun(_u1912, tc_HOL_Obool)))) )).
% 12.54/12.76 cnf(matrix-1746, plain, ( ~class_Groups_Oab__group__add(_u1914) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1914), _u1915), _u1916) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1914), _u1917), _u1918)) | ( _u1915 != _u1916) | ( _u1917 = _u1918) )).
% 12.54/12.76 cnf(matrix-1747, plain, ( ~class_Groups_Oab__group__add(_u1914) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1914), _u1915), _u1916) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1914), _u1917), _u1918)) | ( _u1917 != _u1918) | ( _u1915 = _u1916) )).
% 12.54/12.76 cnf(matrix-1748, plain, ( ~class_Orderings_Olinorder(_u1919) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1919), _u1920), _u1921)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1919), _u1921), _u1922)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1919, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1919, _u1920, _u1921)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u1919, _u1921, _u1922)) = c_SetInterval_Oord__class_OatLeastAtMost(_u1919, _u1920, _u1922)) )).
% 12.54/12.76 cnf(matrix-1749, plain, ( ~class_Orderings_Oorder(_u1923) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1923, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u1923), _u1924)), c_SetInterval_Oord__class_OatLeastAtMost(_u1923, _u1924, _u1925)) = c_Orderings_Obot__class_Obot(tc_fun(_u1923, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1750, plain, ( ~class_Orderings_Oorder(_u1926) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1926, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1926, _u1927, _u1928)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u1926, _u1928, _u1929)) = c_Orderings_Obot__class_Obot(tc_fun(_u1926, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1751, plain, ( ~class_Orderings_Oorder(_u1930) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1930, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u1930, _u1931, _u1932)), c_SetInterval_Oord__class_OatLeastAtMost(_u1930, _u1932, _u1933)) = c_Orderings_Obot__class_Obot(tc_fun(_u1930, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1752, plain, ( ~class_Orderings_Oorder(_u1934) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1934, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1934, _u1935, _u1936)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u1934, _u1936, _u1937)) = c_Orderings_Obot__class_Obot(tc_fun(_u1934, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1753, plain, ( ~class_Orderings_Oorder(_u1938) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1938, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1938, _u1939, _u1940)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u1938), _u1940)) = c_Orderings_Obot__class_Obot(tc_fun(_u1938, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1754, plain, ( ~class_Orderings_Olinorder(_u1941) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1941), _u1942), _u1943)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1941), _u1943), _u1944)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1941, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u1941, _u1942, _u1943)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u1941, _u1943, _u1944)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u1941, _u1942, _u1944)) )).
% 12.54/12.76 cnf(matrix-1755, plain, ( ~class_Orderings_Olinorder(_u1945) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1945), _u1946), _u1947)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1945, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u1945), _u1946)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u1945, _u1946, _u1947)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u1945), _u1947)) )).
% 12.54/12.76 cnf(matrix-1756, plain, ( ~c_Nitpick_Ofold__graph_H(_u1959, _u1961, _u1963, _u1965, _u1967, hAPP(hAPP(_u1963, _u1969), _u1971)) | ( _u1967 = c_Orderings_Obot__class_Obot(tc_fun(_u1959, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1959), skolem47(_u1971, _u1969, _u1967, _u1965, _u1963, _u1961, _u1959)), _u1967)) )).
% 12.54/12.76 cnf(matrix-1757, plain, ( ~c_Nitpick_Ofold__graph_H(_u1959, _u1961, _u1963, _u1965, _u1967, hAPP(hAPP(_u1963, _u1969), _u1971)) | ( _u1967 = c_Orderings_Obot__class_Obot(tc_fun(_u1959, tc_HOL_Obool))) | ( hAPP(hAPP(_u1963, _u1969), _u1971) = hAPP(hAPP(_u1963, skolem47(_u1971, _u1969, _u1967, _u1965, _u1963, _u1961, _u1959)), skolem48(_u1971, _u1969, _u1967, _u1965, _u1963, _u1961, _u1959))) )).
% 12.54/12.76 cnf(matrix-1758, plain, ( ~c_Nitpick_Ofold__graph_H(_u1959, _u1961, _u1963, _u1965, _u1967, hAPP(hAPP(_u1963, _u1969), _u1971)) | ( _u1967 = c_Orderings_Obot__class_Obot(tc_fun(_u1959, tc_HOL_Obool))) | c_Nitpick_Ofold__graph_H(_u1959, _u1961, _u1963, _u1965, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1959, tc_HOL_Obool)), _u1967), hAPP(hAPP(c_Set_Oinsert(_u1959), skolem47(_u1971, _u1969, _u1967, _u1965, _u1963, _u1961, _u1959)), c_Orderings_Obot__class_Obot(tc_fun(_u1959, tc_HOL_Obool)))), skolem48(_u1971, _u1969, _u1967, _u1965, _u1963, _u1961, _u1959)) )).
% 12.54/12.76 cnf(matrix-1759, plain, ( ~c_Nitpick_Ofold__graph_H(_u1959, _u1961, _u1963, _u1965, _u1967, hAPP(hAPP(_u1963, _u1969), _u1971)) | ( hAPP(hAPP(_u1963, _u1969), _u1971) = _u1965) | hBOOL(hAPP(hAPP(c_member(_u1959), skolem47(_u1971, _u1969, _u1967, _u1965, _u1963, _u1961, _u1959)), _u1967)) )).
% 12.54/12.76 cnf(matrix-1760, plain, ( ~c_Nitpick_Ofold__graph_H(_u1959, _u1961, _u1963, _u1965, _u1967, hAPP(hAPP(_u1963, _u1969), _u1971)) | ( hAPP(hAPP(_u1963, _u1969), _u1971) = _u1965) | ( hAPP(hAPP(_u1963, _u1969), _u1971) = hAPP(hAPP(_u1963, skolem47(_u1971, _u1969, _u1967, _u1965, _u1963, _u1961, _u1959)), skolem48(_u1971, _u1969, _u1967, _u1965, _u1963, _u1961, _u1959))) )).
% 12.54/12.76 cnf(matrix-1761, plain, ( ~c_Nitpick_Ofold__graph_H(_u1959, _u1961, _u1963, _u1965, _u1967, hAPP(hAPP(_u1963, _u1969), _u1971)) | ( hAPP(hAPP(_u1963, _u1969), _u1971) = _u1965) | c_Nitpick_Ofold__graph_H(_u1959, _u1961, _u1963, _u1965, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1959, tc_HOL_Obool)), _u1967), hAPP(hAPP(c_Set_Oinsert(_u1959), skolem47(_u1971, _u1969, _u1967, _u1965, _u1963, _u1961, _u1959)), c_Orderings_Obot__class_Obot(tc_fun(_u1959, tc_HOL_Obool)))), skolem48(_u1971, _u1969, _u1967, _u1965, _u1963, _u1961, _u1959)) )).
% 12.54/12.76 cnf(matrix-1762, plain, ( c_Nitpick_Ofold__graph_H(_u1960, _u1962, _u1964, _u1966, _u1968, hAPP(hAPP(_u1964, _u1970), _u1972)) | ( _u1968 != c_Orderings_Obot__class_Obot(tc_fun(_u1960, tc_HOL_Obool))) | ( hAPP(hAPP(_u1964, _u1970), _u1972) != _u1966) )).
% 12.54/12.76 cnf(matrix-1763, plain, ( c_Nitpick_Ofold__graph_H(_u1960, _u1962, _u1964, _u1966, _u1968, hAPP(hAPP(_u1964, _u1970), _u1972)) | ~hBOOL(hAPP(hAPP(c_member(_u1960), _u1951), _u1968)) | ( hAPP(hAPP(_u1964, _u1970), _u1972) != hAPP(hAPP(_u1964, _u1951), _u1950)) | ~c_Nitpick_Ofold__graph_H(_u1960, _u1962, _u1964, _u1966, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1960, tc_HOL_Obool)), _u1968), hAPP(hAPP(c_Set_Oinsert(_u1960), _u1951), c_Orderings_Obot__class_Obot(tc_fun(_u1960, tc_HOL_Obool)))), _u1950) )).
% 12.54/12.76 cnf(matrix-1764, plain, ( ~class_Orderings_Olinorder(_u1973) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1973), _u1974), _u1975)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1973), _u1975), _u1976)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1973, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1973, _u1974, _u1975)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u1973, _u1975, _u1976)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u1973, _u1974), _u1976)) )).
% 12.54/12.76 cnf(matrix-1765, plain, ( ~class_Orderings_Olinorder(_u1977) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1977), _u1978), _u1979)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1977, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1977), _u1978), c_Orderings_Obot__class_Obot(tc_fun(_u1977, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanLessThan(_u1977, _u1978, _u1979)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u1977, _u1978), _u1979)) )).
% 12.54/12.76 cnf(matrix-1766, plain, ( ~class_Orderings_Olinorder(_u1980) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1980), _u1981), _u1982)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1980, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u1980, _u1981), _u1982)), hAPP(hAPP(c_Set_Oinsert(_u1980), _u1982), c_Orderings_Obot__class_Obot(tc_fun(_u1980, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(_u1980, _u1981, _u1982)) )).
% 12.54/12.76 cnf(matrix-1767, plain, ( ~class_Orderings_Olinorder(_u1983) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1983), _u1984), _u1985)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1983), _u1985), _u1986)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1983, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u1983, _u1984, _u1985)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u1983, _u1985), _u1986)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u1983, _u1984, _u1986)) )).
% 12.54/12.76 cnf(matrix-1768, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1987, _u1988, _u1989, _u1990, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1987, tc_HOL_Obool)), _u1991), hAPP(hAPP(c_Set_Oinsert(_u1987), _u1992), c_Orderings_Obot__class_Obot(tc_fun(_u1987, tc_HOL_Obool))))), _u1993)) | ~hBOOL(hAPP(hAPP(c_member(_u1987), _u1992), _u1991)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1987, _u1988, _u1989, _u1990, _u1991), hAPP(hAPP(_u1989, _u1992), _u1993))) )).
% 12.54/12.76 cnf(matrix-1769, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1995, tc_HOL_Obool)), _u1996), _u1997)) | hBOOL(hAPP(hAPP(c_member(_u1995), skolem49(_u1997, _u1996, _u1995)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1995, tc_HOL_Obool)), _u1997), _u1996))) )).
% 12.54/12.76 cnf(matrix-1770, plain, ( ~class_Orderings_Oorder(_u1998) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1998, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u1998, _u1999), _u2000)), hAPP(c_SetInterval_Oord__class_OatLeast(_u1998), _u2000)) = c_Orderings_Obot__class_Obot(tc_fun(_u1998, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1771, plain, ( ~class_Lattices_Oboolean__algebra(_u2001) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2001), _u2002), _u2003) != c_Orderings_Obot__class_Obot(_u2001)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2001), _u2002), _u2003) != c_Orderings_Otop__class_Otop(_u2001)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2001), _u2002) = _u2003) )).
% 12.54/12.76 cnf(matrix-1772, plain, ( ~class_Orderings_Olinorder(_u2004) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2004), _u2005), _u2006)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2004, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2004, _u2005), _u2006)), hAPP(c_SetInterval_Oord__class_OatLeast(_u2004), _u2006)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u2004), _u2005)) )).
% 12.54/12.76 cnf(matrix-1773, plain, ( hBOOL(hAPP(hAPP(c_member(_u2007), _u2008), _u2009)) | hBOOL(hAPP(hAPP(c_member(_u2007), _u2008), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2007, tc_HOL_Obool)), _u2009))) )).
% 12.54/12.76 cnf(matrix-1774, plain, ( ~class_Groups_Ogroup__add(_u2010) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2010), hAPP(c_Groups_Ouminus__class_Ouminus(_u2010), _u2011)) = _u2011) )).
% 12.54/12.76 cnf(matrix-1775, plain, ( ~class_Groups_Ogroup__add(_u2012) | ( _u2013 != hAPP(c_Groups_Ouminus__class_Ouminus(_u2012), _u2014)) | ( _u2014 = hAPP(c_Groups_Ouminus__class_Ouminus(_u2012), _u2013)) )).
% 12.54/12.76 cnf(matrix-1776, plain, ( ~class_Groups_Ogroup__add(_u2012) | ( _u2014 != hAPP(c_Groups_Ouminus__class_Ouminus(_u2012), _u2013)) | ( _u2013 = hAPP(c_Groups_Ouminus__class_Ouminus(_u2012), _u2014)) )).
% 12.54/12.76 cnf(matrix-1777, plain, ( ~class_Groups_Ogroup__add(_u2015) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2015), _u2016) != _u2017) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2015), _u2017) = _u2016) )).
% 12.54/12.76 cnf(matrix-1778, plain, ( ~class_Groups_Ogroup__add(_u2015) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2015), _u2017) != _u2016) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2015), _u2016) = _u2017) )).
% 12.54/12.76 cnf(matrix-1779, plain, ( ~class_Groups_Ogroup__add(_u2018) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2018), _u2019) != hAPP(c_Groups_Ouminus__class_Ouminus(_u2018), _u2020)) | ( _u2019 = _u2020) )).
% 12.54/12.76 cnf(matrix-1780, plain, ( ~class_Groups_Ogroup__add(_u2018) | ( _u2019 != _u2020) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2018), _u2019) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2018), _u2020)) )).
% 12.54/12.76 cnf(matrix-1781, plain, ( ~class_Lattices_Oboolean__algebra(_u2021) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2021), hAPP(c_Groups_Ouminus__class_Ouminus(_u2021), _u2022)) = _u2022) )).
% 12.54/12.76 cnf(matrix-1782, plain, ( ~class_Groups_Ouminus(_u2023) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2024, _u2023)), _u2025), _u2026) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2023), hAPP(_u2025, _u2026))) )).
% 12.54/12.76 cnf(matrix-1783, plain, ( ~class_Lattices_Oboolean__algebra(_u2027) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2027), _u2028) != hAPP(c_Groups_Ouminus__class_Ouminus(_u2027), _u2029)) | ( _u2028 = _u2029) )).
% 12.54/12.76 cnf(matrix-1784, plain, ( ~class_Lattices_Oboolean__algebra(_u2027) | ( _u2028 != _u2029) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2027), _u2028) = hAPP(c_Groups_Ouminus__class_Ouminus(_u2027), _u2029)) )).
% 12.54/12.76 cnf(matrix-1785, plain, ( ~class_Lattices_Oboolean__algebra(_u2030) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2030), _u2031), _u2032)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2030), hAPP(c_Groups_Ouminus__class_Ouminus(_u2030), _u2032)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2030), _u2031))) )).
% 12.54/12.76 cnf(matrix-1786, plain, ( ~class_Lattices_Oboolean__algebra(_u2033) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2033), hAPP(c_Groups_Ouminus__class_Ouminus(_u2033), _u2034)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2033), _u2035))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2033), _u2035), _u2034)) )).
% 12.54/12.76 cnf(matrix-1787, plain, ( ~class_Lattices_Oboolean__algebra(_u2033) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2033), _u2035), _u2034)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2033), hAPP(c_Groups_Ouminus__class_Ouminus(_u2033), _u2034)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2033), _u2035))) )).
% 12.54/12.76 cnf(matrix-1788, plain, ( ~class_Groups_Oordered__ab__group__add(_u2036) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2036), _u2037), _u2038)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2036), hAPP(c_Groups_Ouminus__class_Ouminus(_u2036), _u2038)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2036), _u2037))) )).
% 12.54/12.76 cnf(matrix-1789, plain, ( ~class_Groups_Oordered__ab__group__add(_u2039) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2039), hAPP(c_Groups_Ouminus__class_Ouminus(_u2039), _u2040)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2039), _u2041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2039), _u2041), _u2040)) )).
% 12.54/12.76 cnf(matrix-1790, plain, ( ~class_Groups_Oordered__ab__group__add(_u2039) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2039), _u2041), _u2040)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2039), hAPP(c_Groups_Ouminus__class_Ouminus(_u2039), _u2040)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2039), _u2041))) )).
% 12.54/12.76 cnf(matrix-1791, plain, ( ~class_Groups_Oordered__ab__group__add(_u2042) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2042), hAPP(c_Groups_Ouminus__class_Ouminus(_u2042), _u2043)), _u2044)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2042), hAPP(c_Groups_Ouminus__class_Ouminus(_u2042), _u2044)), _u2043)) )).
% 12.54/12.76 cnf(matrix-1792, plain, ( ~class_Groups_Oordered__ab__group__add(_u2042) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2042), hAPP(c_Groups_Ouminus__class_Ouminus(_u2042), _u2044)), _u2043)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2042), hAPP(c_Groups_Ouminus__class_Ouminus(_u2042), _u2043)), _u2044)) )).
% 12.54/12.76 cnf(matrix-1793, plain, ( ~class_Groups_Oordered__ab__group__add(_u2045) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2045), _u2046), hAPP(c_Groups_Ouminus__class_Ouminus(_u2045), _u2047))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2045), _u2047), hAPP(c_Groups_Ouminus__class_Ouminus(_u2045), _u2046))) )).
% 12.54/12.76 cnf(matrix-1794, plain, ( ~class_Groups_Oordered__ab__group__add(_u2045) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2045), _u2047), hAPP(c_Groups_Ouminus__class_Ouminus(_u2045), _u2046))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2045), _u2046), hAPP(c_Groups_Ouminus__class_Ouminus(_u2045), _u2047))) )).
% 12.54/12.76 cnf(matrix-1795, plain, ( ~class_Groups_Oordered__ab__group__add(_u2048) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2048), hAPP(c_Groups_Ouminus__class_Ouminus(_u2048), _u2049)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2048), _u2050))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2048), _u2050), _u2049)) )).
% 12.54/12.76 cnf(matrix-1796, plain, ( ~class_Groups_Oordered__ab__group__add(_u2048) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2048), _u2050), _u2049)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2048), hAPP(c_Groups_Ouminus__class_Ouminus(_u2048), _u2049)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2048), _u2050))) )).
% 12.54/12.76 cnf(matrix-1797, plain, ( ~class_Groups_Oordered__ab__group__add(_u2051) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2051), hAPP(c_Groups_Ouminus__class_Ouminus(_u2051), _u2052)), _u2053)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2051), hAPP(c_Groups_Ouminus__class_Ouminus(_u2051), _u2053)), _u2052)) )).
% 12.54/12.76 cnf(matrix-1798, plain, ( ~class_Groups_Oordered__ab__group__add(_u2051) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2051), hAPP(c_Groups_Ouminus__class_Ouminus(_u2051), _u2053)), _u2052)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2051), hAPP(c_Groups_Ouminus__class_Ouminus(_u2051), _u2052)), _u2053)) )).
% 12.54/12.76 cnf(matrix-1799, plain, ( ~class_Groups_Oordered__ab__group__add(_u2054) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2054), _u2055), hAPP(c_Groups_Ouminus__class_Ouminus(_u2054), _u2056))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2054), _u2056), hAPP(c_Groups_Ouminus__class_Ouminus(_u2054), _u2055))) )).
% 12.54/12.76 cnf(matrix-1800, plain, ( ~class_Groups_Oordered__ab__group__add(_u2054) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2054), _u2056), hAPP(c_Groups_Ouminus__class_Ouminus(_u2054), _u2055))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2054), _u2055), hAPP(c_Groups_Ouminus__class_Ouminus(_u2054), _u2056))) )).
% 12.54/12.76 cnf(matrix-1801, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2057), _u2058), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2057, tc_HOL_Obool)), _u2059))) | ~hBOOL(hAPP(hAPP(c_member(_u2057), _u2058), _u2059)) )).
% 12.54/12.76 cnf(matrix-1802, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2060), _u2061), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2060, tc_HOL_Obool)), _u2062))) | ~hBOOL(hAPP(hAPP(c_member(_u2060), _u2061), _u2062)) )).
% 12.54/12.76 cnf(matrix-1803, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2066), _u2068), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2066, tc_HOL_Obool)), _u2070))) | ~hBOOL(hAPP(hAPP(c_member(_u2066), _u2068), _u2070)) )).
% 12.54/12.76 cnf(matrix-1804, plain, ( hBOOL(hAPP(hAPP(c_member(_u2067), _u2069), _u2071)) | hBOOL(hAPP(hAPP(c_member(_u2067), _u2069), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2067, tc_HOL_Obool)), _u2071))) )).
% 12.54/12.76 cnf(matrix-1805, plain, ( ~class_Groups_Oab__group__add(_u2072) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2072), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2072), _u2073), _u2074)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2072), _u2074), _u2073)) )).
% 12.54/12.76 cnf(matrix-1806, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2078, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2078, tc_HOL_Obool)), _u2080)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2078, tc_HOL_Obool)), _u2082))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2078, tc_HOL_Obool)), _u2082), _u2080)) )).
% 12.54/12.76 cnf(matrix-1807, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2079, tc_HOL_Obool)), _u2083), _u2081)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2079, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2079, tc_HOL_Obool)), _u2081)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2079, tc_HOL_Obool)), _u2083))) )).
% 12.54/12.76 cnf(matrix-1808, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2084, tc_HOL_Obool)), _u2085), _u2086)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2084, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2084, tc_HOL_Obool)), _u2086)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2084, tc_HOL_Obool)), _u2085))) )).
% 12.54/12.76 cnf(matrix-1809, plain, ( ~class_Orderings_Olinorder(_u2087) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2087), _u2088), _u2089)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2087), _u2090), _u2091)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2087, _u2088), _u2089) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2087, _u2090), _u2091)) | ( _u2088 = _u2090) )).
% 12.54/12.76 cnf(matrix-1810, plain, ( ~class_Orderings_Olinorder(_u2087) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2087), _u2088), _u2089)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2087), _u2090), _u2091)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2087, _u2088), _u2089) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2087, _u2090), _u2091)) | ( _u2089 = _u2091) )).
% 12.54/12.76 cnf(matrix-1811, plain, ( ~class_Orderings_Olinorder(_u2087) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2087), _u2088), _u2089)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2087), _u2090), _u2091)) | ( _u2088 != _u2090) | ( _u2089 != _u2091) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2087, _u2088), _u2089) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2087, _u2090), _u2091)) )).
% 12.54/12.76 cnf(matrix-1812, plain, ( ~class_Orderings_Olinorder(_u2092) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2092, _u2093), _u2094) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2092, _u2095), _u2096)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2092), _u2093), _u2094)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2092), _u2095), _u2096)) | ( _u2093 = _u2095) )).
% 12.54/12.76 cnf(matrix-1813, plain, ( ~class_Orderings_Olinorder(_u2097) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2097, _u2098), _u2099) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2097, _u2100), _u2101)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2097), _u2098), _u2099)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2097), _u2100), _u2101)) | ( _u2099 = _u2101) )).
% 12.54/12.76 cnf(matrix-1814, plain, ( ( _u2106 = _u2105) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2102, _u2103, _u2104, _u2105, c_Orderings_Obot__class_Obot(tc_fun(_u2102, tc_HOL_Obool))), _u2106)) )).
% 12.54/12.76 cnf(matrix-1815, plain, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2107, _u2108, _u2109, _u2110, c_Orderings_Obot__class_Obot(tc_fun(_u2107, tc_HOL_Obool))), _u2110)) )).
% 12.54/12.76 cnf(matrix-1816, plain, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2111, _u2112, _u2113, _u2114, c_Orderings_Obot__class_Obot(tc_fun(_u2111, tc_HOL_Obool))), _u2114)) )).
% 12.54/12.76 cnf(matrix-1817, plain, ( ~class_Lattices_Oboolean__algebra(_u2115) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2115), hAPP(c_Groups_Ouminus__class_Ouminus(_u2115), _u2116)), _u2116) = c_Orderings_Obot__class_Obot(_u2115)) )).
% 12.54/12.76 cnf(matrix-1818, plain, ( ~class_Lattices_Oboolean__algebra(_u2117) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2117), _u2118), hAPP(c_Groups_Ouminus__class_Ouminus(_u2117), _u2118)) = c_Orderings_Obot__class_Obot(_u2117)) )).
% 12.54/12.76 cnf(matrix-1819, plain, ( ~class_Lattices_Oboolean__algebra(_u2119) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2119), _u2120), _u2121) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2119), _u2120), hAPP(c_Groups_Ouminus__class_Ouminus(_u2119), _u2121))) )).
% 12.54/12.76 cnf(matrix-1820, plain, ( ~class_Lattices_Oboolean__algebra(_u2122) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2122), c_Orderings_Otop__class_Otop(_u2122)) = c_Orderings_Obot__class_Obot(_u2122)) )).
% 12.54/12.76 cnf(matrix-1821, plain, ( ~class_Lattices_Oboolean__algebra(_u2123) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2123), c_Orderings_Obot__class_Obot(_u2123)) = c_Orderings_Otop__class_Otop(_u2123)) )).
% 12.54/12.76 cnf(matrix-1822, plain, ( ~class_Lattices_Oboolean__algebra(_u2124) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2124), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2124), _u2125), _u2126)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2124), hAPP(c_Groups_Ouminus__class_Ouminus(_u2124), _u2125)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2124), _u2126))) )).
% 12.54/12.76 cnf(matrix-1823, plain, ( ~class_Lattices_Oboolean__algebra(_u2127) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2127), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2127), _u2128), _u2129)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2127), hAPP(c_Groups_Ouminus__class_Ouminus(_u2127), _u2128)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2127), _u2129))) )).
% 12.54/12.76 cnf(matrix-1824, plain, ( ~class_Lattices_Oboolean__algebra(_u2130) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2130), hAPP(c_Groups_Ouminus__class_Ouminus(_u2130), _u2131)), _u2131) = c_Orderings_Otop__class_Otop(_u2130)) )).
% 12.54/12.76 cnf(matrix-1825, plain, ( ~class_Lattices_Oboolean__algebra(_u2132) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2132), _u2133), hAPP(c_Groups_Ouminus__class_Ouminus(_u2132), _u2133)) = c_Orderings_Otop__class_Otop(_u2132)) )).
% 12.54/12.76 cnf(matrix-1826, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2136, tc_HOL_Obool)), _u2138), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2136, tc_HOL_Obool)), _u2138))) | ( _u2138 = c_Orderings_Obot__class_Obot(tc_fun(_u2136, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1827, plain, ( ( _u2139 != c_Orderings_Obot__class_Obot(tc_fun(_u2137, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2137, tc_HOL_Obool)), _u2139), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2137, tc_HOL_Obool)), _u2139))) )).
% 12.54/12.76 cnf(matrix-1828, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2140, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u2140, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u2140, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1829, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2141, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u2141, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u2141, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1830, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2142, tc_HOL_Obool)), _u2143), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2142, tc_HOL_Obool)), _u2143)) = c_Orderings_Obot__class_Obot(tc_fun(_u2142, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1831, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2144, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2144, tc_HOL_Obool)), _u2145)), _u2145) = c_Orderings_Obot__class_Obot(tc_fun(_u2144, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1832, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2146, tc_HOL_Obool)), _u2147), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2146, tc_HOL_Obool)), _u2147)) = c_Orderings_Otop__class_Otop(tc_fun(_u2146, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1833, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2148, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2148, tc_HOL_Obool)), _u2149)), _u2149) = c_Orderings_Otop__class_Otop(tc_fun(_u2148, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1834, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2150, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2150, tc_HOL_Obool)), _u2151), _u2152)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2150, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2150, tc_HOL_Obool)), _u2151)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2150, tc_HOL_Obool)), _u2152))) )).
% 12.54/12.76 cnf(matrix-1835, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2153, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2153, tc_HOL_Obool)), _u2154), _u2155)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2153, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2153, tc_HOL_Obool)), _u2154)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2153, tc_HOL_Obool)), _u2155))) )).
% 12.54/12.76 cnf(matrix-1836, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2156, tc_HOL_Obool)), _u2157) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2156, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u2156, tc_HOL_Obool))), _u2157)) )).
% 12.54/12.76 cnf(matrix-1837, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2158, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2158, tc_HOL_Obool)), _u2159), _u2160)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2158, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2158, tc_HOL_Obool)), _u2159)), _u2160)) )).
% 12.54/12.76 cnf(matrix-1838, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2161, tc_HOL_Obool)), _u2162), _u2163) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2161, tc_HOL_Obool)), _u2162), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2161, tc_HOL_Obool)), _u2163))) )).
% 12.54/12.76 cnf(matrix-1839, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2164, tc_HOL_Obool)), _u2165), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2164, tc_HOL_Obool)), _u2166)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2164, tc_HOL_Obool)), _u2165), _u2166)) )).
% 12.54/12.76 cnf(matrix-1840, plain, ( ~class_Orderings_Olinorder(_u2167) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2167, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u2167), _u2168)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u2167), _u2168)) )).
% 12.54/12.76 cnf(matrix-1841, plain, ( ~class_Orderings_Olinorder(_u2169) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2169, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u2169), _u2170)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u2169), _u2170)) )).
% 12.54/12.76 cnf(matrix-1842, plain, ( ~class_Orderings_Oorder(_u2171) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2171), _u2172), _u2173)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2171, _u2173), _u2172) = c_Orderings_Obot__class_Obot(tc_fun(_u2171, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1843, plain, ( ~class_Orderings_Oorder(_u2174) | ( c_Orderings_Obot__class_Obot(tc_fun(_u2174, tc_HOL_Obool)) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2174, _u2175), _u2176)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2174), _u2175), _u2176)) )).
% 12.54/12.76 cnf(matrix-1844, plain, ( ~class_Orderings_Oorder(_u2174) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2174), _u2175), _u2176)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u2174, tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2174, _u2175), _u2176)) )).
% 12.54/12.76 cnf(matrix-1845, plain, ( ~class_Orderings_Oorder(_u2177) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2177, _u2178), _u2179) != c_Orderings_Obot__class_Obot(tc_fun(_u2177, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2177), _u2178), _u2179)) )).
% 12.54/12.76 cnf(matrix-1846, plain, ( ~class_Orderings_Oorder(_u2177) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2177), _u2178), _u2179)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2177, _u2178), _u2179) = c_Orderings_Obot__class_Obot(tc_fun(_u2177, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1847, plain, ( ~class_Orderings_Olinorder(_u2180) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2180, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u2180), _u2181)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u2180), _u2181)) )).
% 12.54/12.76 cnf(matrix-1848, plain, ( ~class_Orderings_Olinorder(_u2182) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2182, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u2182), _u2183)) = hAPP(c_SetInterval_Oord__class_OatMost(_u2182), _u2183)) )).
% 12.54/12.76 cnf(matrix-1849, plain, ( ~class_Orderings_Olinorder(_u2184) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2184, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2184, _u2185), _u2186)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2184, _u2187), _u2188))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2184), _u2186), _u2185)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2184), _u2187), _u2185)) )).
% 12.54/12.76 cnf(matrix-1850, plain, ( ~class_Orderings_Olinorder(_u2184) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2184, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2184, _u2185), _u2186)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2184, _u2187), _u2188))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2184), _u2186), _u2185)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2184), _u2186), _u2188)) )).
% 12.54/12.76 cnf(matrix-1851, plain, ( ~class_Orderings_Olinorder(_u2189) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2189), _u2190), _u2191)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2189), _u2191), _u2192)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2189, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2189, _u2190), _u2191)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2189, _u2191), _u2192)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2189, _u2190), _u2192)) )).
% 12.54/12.76 cnf(matrix-1852, plain, ( hBOOL(hAPP(hAPP(c_member(_u2193), _u2194), _u2195)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2193, _u2196, _u2197, _u2198, _u2195), _u2199)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2193, _u2196, _u2197, _u2198, hAPP(hAPP(c_Set_Oinsert(_u2193), _u2194), _u2195)), hAPP(hAPP(_u2197, _u2194), _u2199))) )).
% 12.54/12.76 cnf(matrix-1853, plain, ( ~class_Orderings_Olinorder(_u2200) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2200), _u2201), _u2202)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2200, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2200, _u2201), _u2203)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2200, _u2201), _u2202)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2200, _u2202), _u2203)) )).
% 12.54/12.76 cnf(matrix-1854, plain, ( ~class_Orderings_Oorder(_u2204) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2204, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2204, _u2205), _u2206)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2204, _u2206), _u2207)) = c_Orderings_Obot__class_Obot(tc_fun(_u2204, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1855, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2211, tc_HOL_Obool)), _u2213), _u2215) != c_Orderings_Obot__class_Obot(tc_fun(_u2211, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2211, tc_HOL_Obool)), _u2213), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2211, tc_HOL_Obool)), _u2215))) )).
% 12.54/12.76 cnf(matrix-1856, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2212, tc_HOL_Obool)), _u2214), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2212, tc_HOL_Obool)), _u2216))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2212, tc_HOL_Obool)), _u2214), _u2216) = c_Orderings_Obot__class_Obot(tc_fun(_u2212, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1857, plain, ( ~class_Orderings_Olinorder(_u2217) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2217), _u2218), _u2219)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2217), _u2219), _u2220)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2217, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2217, _u2218), _u2219)), c_SetInterval_Oord__class_OatLeastAtMost(_u2217, _u2219, _u2220)) = c_SetInterval_Oord__class_OatLeastAtMost(_u2217, _u2218, _u2220)) )).
% 12.54/12.76 cnf(matrix-1858, plain, ( ~class_Orderings_Oorder(_u2221) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2221, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2221, _u2222), _u2223)), c_SetInterval_Oord__class_OatLeastAtMost(_u2221, _u2223, _u2224)) = c_Orderings_Obot__class_Obot(tc_fun(_u2221, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1859, plain, ( ~class_Orderings_Olinorder(_u2225) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2225), _u2226), _u2227)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2225, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u2225), _u2226)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2225, _u2226), _u2227)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u2225), _u2227)) )).
% 12.54/12.76 cnf(matrix-1860, plain, ( ~class_Orderings_Oorder(_u2228) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2228, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u2228), _u2229)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2228, _u2229), _u2230)) = c_Orderings_Obot__class_Obot(tc_fun(_u2228, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1861, plain, ( ~class_Orderings_Oorder(_u2231) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2231, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u2231, _u2232, _u2233)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2231, _u2233), _u2234)) = c_Orderings_Obot__class_Obot(tc_fun(_u2231, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1862, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2235, _u2235, _u2236, _u2237, _u2238), _u2239)) | hBOOL(hAPP(hAPP(c_member(_u2235), _u2237), _u2238)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u2235, _u2236, hAPP(hAPP(c_Set_Oinsert(_u2235), _u2237), _u2238)), _u2239)) )).
% 12.54/12.76 cnf(matrix-1863, plain, ( ~class_Groups_Oab__semigroup__mult(_u2240) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2240, _u2240, c_Groups_Otimes__class_Otimes(_u2240), _u2241, _u2242), _u2243)) | ~hBOOL(hAPP(hAPP(c_member(_u2240), _u2244), _u2242)) | hBOOL(hAPP(hAPP(c_member(_u2240), _u2241), _u2242)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2240, _u2240, c_Groups_Otimes__class_Otimes(_u2240), _u2244, hAPP(hAPP(c_Set_Oinsert(_u2240), _u2241), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2240, tc_HOL_Obool)), _u2242), hAPP(hAPP(c_Set_Oinsert(_u2240), _u2244), c_Orderings_Obot__class_Obot(tc_fun(_u2240, tc_HOL_Obool)))))), _u2243)) )).
% 12.54/12.76 cnf(matrix-1864, plain, ( ~c_Finite__Set_Ofolding__one(_u2245, _u2246, _u2247) | ( hAPP(_u2247, hAPP(hAPP(c_Set_Oinsert(_u2245), _u2248), c_Orderings_Obot__class_Obot(tc_fun(_u2245, tc_HOL_Obool)))) = _u2248) )).
% 12.54/12.76 cnf(matrix-1865, plain, ( ( _u2257 = _u2259) | ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u2253, _u2255, hAPP(hAPP(c_Set_Oinsert(_u2253), _u2257), c_Orderings_Obot__class_Obot(tc_fun(_u2253, tc_HOL_Obool)))), _u2259)) )).
% 12.54/12.76 cnf(matrix-1866, plain, ( ( _u2258 != _u2260) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u2254, _u2256, hAPP(hAPP(c_Set_Oinsert(_u2254), _u2258), c_Orderings_Obot__class_Obot(tc_fun(_u2254, tc_HOL_Obool)))), _u2260)) )).
% 12.54/12.76 cnf(matrix-1867, plain, ( ( _u2267 = c_Orderings_Obot__class_Obot(tc_fun(_u2269, tc_HOL_Obool))) | ( _u2267 = hAPP(hAPP(c_Set_Oinsert(_u2269), skolem50(_u2269, _u2267)), skolem51(_u2269, _u2267))) )).
% 12.54/12.76 cnf(matrix-1868, plain, ( ( _u2267 = c_Orderings_Obot__class_Obot(tc_fun(_u2269, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2269), skolem50(_u2269, _u2267)), skolem51(_u2269, _u2267))) )).
% 12.54/12.76 cnf(matrix-1869, plain, ( ( _u2268 != hAPP(hAPP(c_Set_Oinsert(_u2270), _u2264), _u2263)) | hBOOL(hAPP(hAPP(c_member(_u2270), _u2264), _u2263)) | ( _u2268 != c_Orderings_Obot__class_Obot(tc_fun(_u2270, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1870, plain, ( ( hAPP(c_Set_OPow(_u2271), hAPP(hAPP(c_Set_Oinsert(_u2271), _u2272), _u2273)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u2271, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u2271), _u2273)), hAPP(c_Set_Oimage(tc_fun(_u2271, tc_HOL_Obool), tc_fun(_u2271, tc_HOL_Obool), hAPP(c_Set_Oinsert(_u2271), _u2272)), hAPP(c_Set_OPow(_u2271), _u2273)))) )).
% 12.54/12.76 cnf(matrix-1871, plain, ( ~c_Finite__Set_Ofun__left__comm(_u2275, _u2276, _u2277) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2275, _u2276, _u2277, _u2278, _u2279), _u2280)) | ~hBOOL(hAPP(hAPP(c_member(_u2275), _u2281), _u2279)) | ( _u2280 = hAPP(hAPP(_u2277, _u2281), skolem52(_u2281, _u2280, _u2279, _u2278, _u2277, _u2276, _u2275))) )).
% 12.54/12.76 cnf(matrix-1872, plain, ( ~c_Finite__Set_Ofun__left__comm(_u2275, _u2276, _u2277) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2275, _u2276, _u2277, _u2278, _u2279), _u2280)) | ~hBOOL(hAPP(hAPP(c_member(_u2275), _u2281), _u2279)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2275, _u2276, _u2277, _u2278, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2275, tc_HOL_Obool)), _u2279), hAPP(hAPP(c_Set_Oinsert(_u2275), _u2281), c_Orderings_Obot__class_Obot(tc_fun(_u2275, tc_HOL_Obool))))), skolem52(_u2281, _u2280, _u2279, _u2278, _u2277, _u2276, _u2275))) )).
% 12.54/12.76 cnf(matrix-1873, plain, ( ~class_Lattices_Olattice(_u2282) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2282), _u2283), _u2283) = _u2283) )).
% 12.54/12.76 cnf(matrix-1874, plain, ( ~class_Lattices_Olattice(_u2284) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2284), _u2285), _u2285) = _u2285) )).
% 12.54/12.76 cnf(matrix-1875, plain, ( ~class_Rings_Olinordered__idom(_u2286) | ( _u2287 = _u2288) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2286), _u2287), _u2288)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2286), _u2288), _u2287)) )).
% 12.54/12.76 cnf(matrix-1876, plain, ( ( _u2289 != hAPP(_u2290, _u2291)) | ~hBOOL(hAPP(hAPP(c_member(_u2292), _u2291), _u2293)) | hBOOL(hAPP(hAPP(c_member(_u2294), _u2289), hAPP(c_Set_Oimage(_u2292, _u2294, _u2290), _u2293))) )).
% 12.54/12.76 cnf(matrix-1877, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2295, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2295, tc_HOL_Obool)), _u2296)) = _u2296) )).
% 12.54/12.76 cnf(matrix-1878, plain, ( ( _u2302 = _u2304) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2300, tc_HOL_Obool)), _u2302) != hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2300, tc_HOL_Obool)), _u2304)) )).
% 12.54/12.76 cnf(matrix-1879, plain, ( ( _u2303 != _u2305) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2301, tc_HOL_Obool)), _u2303) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2301, tc_HOL_Obool)), _u2305)) )).
% 12.54/12.76 cnf(matrix-1880, plain, ( ( hAPP(c_Set_Oimage(_u2306, _u2307, _u2308), _u2309) != _u2310) | ( hAPP(c_Set_Oimage(tc_fun(_u2306, tc_HOL_Obool), tc_fun(_u2307, tc_HOL_Obool), c_Set_Oimage(_u2306, _u2307, _u2308)), hAPP(c_Set_OPow(_u2306), _u2309)) = hAPP(c_Set_OPow(_u2307), _u2310)) )).
% 12.54/12.76 cnf(matrix-1881, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u2311) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2311), _u2312), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2311), _u2312), _u2313)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2311), _u2312), _u2313)) )).
% 12.54/12.76 cnf(matrix-1882, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u2314) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2314), _u2315), _u2315) = _u2315) )).
% 12.54/12.76 cnf(matrix-1883, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u2316) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2316), _u2317), _u2317) = _u2317) )).
% 12.54/12.76 cnf(matrix-1884, plain, ( ( hAPP(hAPP(_u2320, _u2321), hAPP(hAPP(_u2320, _u2322), _u2323)) = hAPP(hAPP(_u2320, _u2322), hAPP(hAPP(_u2320, _u2321), _u2323))) | ~c_Finite__Set_Ofun__left__comm(_u2318, _u2319, _u2320) )).
% 12.54/12.76 cnf(matrix-1885, plain, ( ~class_Groups_Oab__semigroup__mult(_u2324) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2324), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2324), _u2325), _u2326)), _u2327) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2324), _u2325), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2324), _u2326), _u2327))) )).
% 12.54/12.76 cnf(matrix-1886, plain, ( ~class_Groups_Oab__semigroup__mult(_u2328) | c_Finite__Set_Ofun__left__comm(_u2328, _u2328, c_Groups_Otimes__class_Otimes(_u2328)) )).
% 12.54/12.76 cnf(matrix-1887, plain, ( ~class_Rings_Oring(_u2329) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2329), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2329), _u2330), _u2331)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2329), _u2330), hAPP(c_Groups_Ouminus__class_Ouminus(_u2329), _u2331))) )).
% 12.54/12.76 cnf(matrix-1888, plain, ( ~class_Rings_Oring(_u2332) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2332), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2332), _u2333), _u2334)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2332), hAPP(c_Groups_Ouminus__class_Ouminus(_u2332), _u2333)), _u2334)) )).
% 12.54/12.76 cnf(matrix-1889, plain, ( ~class_Rings_Oring(_u2335) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2335), hAPP(c_Groups_Ouminus__class_Ouminus(_u2335), _u2336)), _u2337) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2335), _u2336), hAPP(c_Groups_Ouminus__class_Ouminus(_u2335), _u2337))) )).
% 12.54/12.76 cnf(matrix-1890, plain, ( ~class_Rings_Oring(_u2338) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2338), hAPP(c_Groups_Ouminus__class_Ouminus(_u2338), _u2339)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2338), _u2340)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2338), _u2339), _u2340)) )).
% 12.54/12.76 cnf(matrix-1891, plain, ( ~class_Rings_Oidom(_u2341) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2341), _u2342), _u2342) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2341), _u2343), _u2343)) | ( _u2342 = _u2343) | ( _u2342 = hAPP(c_Groups_Ouminus__class_Ouminus(_u2341), _u2343)) )).
% 12.54/12.76 cnf(matrix-1892, plain, ( ~class_Rings_Oidom(_u2341) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2341), _u2342), _u2342) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2341), _u2343), _u2343)) | ( _u2342 != _u2343) )).
% 12.54/12.76 cnf(matrix-1893, plain, ( ~class_Rings_Oidom(_u2341) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2341), _u2342), _u2342) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2341), _u2343), _u2343)) | ( _u2342 != hAPP(c_Groups_Ouminus__class_Ouminus(_u2341), _u2343)) )).
% 12.54/12.76 cnf(matrix-1894, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2351), _u2353), hAPP(c_Set_Oimage(_u2355, _u2351, _u2357), _u2359))) | hBOOL(hAPP(hAPP(c_member(_u2355), skolem53(_u2359, _u2357, _u2355, _u2353)), _u2359)) )).
% 12.54/12.76 cnf(matrix-1895, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2351), _u2353), hAPP(c_Set_Oimage(_u2355, _u2351, _u2357), _u2359))) | ( _u2353 = hAPP(_u2357, skolem53(_u2359, _u2357, _u2355, _u2353))) )).
% 12.54/12.76 cnf(matrix-1896, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2356), _u2345), _u2360)) | ( _u2354 != hAPP(_u2358, _u2345)) | hBOOL(hAPP(hAPP(c_member(_u2352), _u2354), hAPP(c_Set_Oimage(_u2356, _u2352, _u2358), _u2360))) )).
% 12.54/12.76 cnf(matrix-1897, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2361), _u2362), _u2363)) | hBOOL(hAPP(hAPP(c_member(_u2364), hAPP(_u2365, _u2362)), hAPP(c_Set_Oimage(_u2361, _u2364, _u2365), _u2363))) )).
% 12.54/12.76 cnf(matrix-1898, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2366), _u2367), _u2368)) | ( _u2369 != hAPP(_u2370, _u2367)) | hBOOL(hAPP(hAPP(c_member(_u2371), _u2369), hAPP(c_Set_Oimage(_u2366, _u2371, _u2370), _u2368))) )).
% 12.54/12.76 cnf(matrix-1899, plain, ( ( hAPP(c_Set_Oimage(_u2376, _u2378, _u2380), _u2382) != c_Orderings_Obot__class_Obot(tc_fun(_u2378, tc_HOL_Obool))) | ( _u2382 = c_Orderings_Obot__class_Obot(tc_fun(_u2376, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1900, plain, ( ( _u2383 != c_Orderings_Obot__class_Obot(tc_fun(_u2377, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u2377, _u2379, _u2381), _u2383) = c_Orderings_Obot__class_Obot(tc_fun(_u2379, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1901, plain, ( ( hAPP(c_Set_Oimage(_u2384, _u2385, _u2386), c_Orderings_Obot__class_Obot(tc_fun(_u2384, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u2385, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1902, plain, ( ( _u2397 = c_Orderings_Obot__class_Obot(tc_fun(_u2393, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u2391, tc_HOL_Obool)) != hAPP(c_Set_Oimage(_u2393, _u2391, _u2395), _u2397)) )).
% 12.54/12.76 cnf(matrix-1903, plain, ( ( _u2398 != c_Orderings_Obot__class_Obot(tc_fun(_u2394, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u2392, tc_HOL_Obool)) = hAPP(c_Set_Oimage(_u2394, _u2392, _u2396), _u2398)) )).
% 12.54/12.76 cnf(matrix-1904, plain, ( ( hAPP(c_Set_Oimage(_u2399, _u2400, _u2401), hAPP(hAPP(c_Set_Oinsert(_u2399), _u2402), _u2403)) = hAPP(hAPP(c_Set_Oinsert(_u2400), hAPP(_u2401, _u2402)), hAPP(c_Set_Oimage(_u2399, _u2400, _u2401), _u2403))) )).
% 12.54/12.76 cnf(matrix-1905, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2404, tc_HOL_Obool)), _u2405), _u2406)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2407, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2404, _u2407, _u2408), _u2405)), hAPP(c_Set_Oimage(_u2404, _u2407, _u2408), _u2406))) )).
% 12.54/12.76 cnf(matrix-1906, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2416, tc_HOL_Obool)), _u2418), hAPP(c_Set_Oimage(_u2420, _u2416, _u2422), _u2424))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2420, tc_HOL_Obool)), skolem54(_u2424, _u2422, _u2420, _u2418, _u2416)), _u2424)) )).
% 12.54/12.76 cnf(matrix-1907, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2416, tc_HOL_Obool)), _u2418), hAPP(c_Set_Oimage(_u2420, _u2416, _u2422), _u2424))) | ( _u2418 = hAPP(c_Set_Oimage(_u2420, _u2416, _u2422), skolem54(_u2424, _u2422, _u2420, _u2418, _u2416))) )).
% 12.54/12.76 cnf(matrix-1908, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2421, tc_HOL_Obool)), _u2410), _u2425)) | ( _u2419 != hAPP(c_Set_Oimage(_u2421, _u2417, _u2423), _u2410)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2417, tc_HOL_Obool)), _u2419), hAPP(c_Set_Oimage(_u2421, _u2417, _u2423), _u2425))) )).
% 12.54/12.76 cnf(matrix-1909, plain, ( ( hAPP(c_Set_Oimage(_u2426, _u2427, _u2428), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2426, tc_HOL_Obool)), _u2429), _u2430)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2427, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2426, _u2427, _u2428), _u2429)), hAPP(c_Set_Oimage(_u2426, _u2427, _u2428), _u2430))) )).
% 12.54/12.76 cnf(matrix-1910, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2431, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2432, _u2431, _u2433), _u2434)), _u2435)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u2431, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_fun(_u2432, tc_HOL_Obool), tc_fun(_u2431, tc_HOL_Obool), c_Set_Oimage(_u2432, _u2431, _u2433)), hAPP(c_Set_OPow(_u2432), _u2434))), hAPP(c_Set_OPow(_u2431), _u2435))) )).
% 12.54/12.76 cnf(matrix-1911, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2436), _u2437), _u2438)) | ( hAPP(hAPP(c_Set_Oinsert(_u2439), hAPP(_u2440, _u2437)), hAPP(c_Set_Oimage(_u2436, _u2439, _u2440), _u2438)) = hAPP(c_Set_Oimage(_u2436, _u2439, _u2440), _u2438)) )).
% 12.54/12.76 cnf(matrix-1912, plain, ( ( _u2441 != hAPP(_u2442, _u2443)) | hBOOL(hAPP(hAPP(c_member(_u2444), _u2441), hAPP(c_Set_Oimage(_u2445, _u2444, _u2442), c_Orderings_Otop__class_Otop(tc_fun(_u2445, tc_HOL_Obool))))) )).
% 12.54/12.76 cnf(matrix-1913, plain, ( hBOOL(hAPP(hAPP(c_member(_u2446), hAPP(_u2447, _u2448)), hAPP(c_Set_Oimage(_u2449, _u2446, _u2447), c_Orderings_Otop__class_Otop(tc_fun(_u2449, tc_HOL_Obool))))) )).
% 12.54/12.76 cnf(matrix-1914, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2450, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2451, _u2450, _u2452), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2451, tc_HOL_Obool)), _u2453), _u2454))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2450, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2451, _u2450, _u2452), _u2453)), hAPP(c_Set_Oimage(_u2451, _u2450, _u2452), _u2454)))) )).
% 12.54/12.76 cnf(matrix-1915, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2455, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2455, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2456, _u2455, _u2457), _u2458)), hAPP(c_Set_Oimage(_u2456, _u2455, _u2457), _u2459))), hAPP(c_Set_Oimage(_u2456, _u2455, _u2457), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2456, tc_HOL_Obool)), _u2458), _u2459)))) )).
% 12.54/12.76 cnf(matrix-1916, plain, ( ~class_Groups_Oordered__ab__group__add(_u2460) | ( hAPP(c_Set_Oimage(_u2460, _u2460, c_Groups_Ouminus__class_Ouminus(_u2460)), c_SetInterval_Oord__class_OatLeastAtMost(_u2460, _u2461, _u2462)) = c_SetInterval_Oord__class_OatLeastAtMost(_u2460, hAPP(c_Groups_Ouminus__class_Ouminus(_u2460), _u2462), hAPP(c_Groups_Ouminus__class_Ouminus(_u2460), _u2461))) )).
% 12.54/12.76 cnf(matrix-1917, plain, ( ~c_Typedef_Otype__definition(_u2463, _u2464, _u2465, _u2466, _u2467) | ( hAPP(c_Set_Oimage(_u2464, _u2463, _u2466), _u2467) = c_Orderings_Otop__class_Otop(tc_fun(_u2463, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1918, plain, ( ~c_Typedef_Otype__definition(_u2468, _u2469, _u2470, _u2471, _u2472) | ( hAPP(c_Set_Oimage(_u2468, _u2469, _u2470), c_Orderings_Otop__class_Otop(tc_fun(_u2468, tc_HOL_Obool))) = _u2472) )).
% 12.54/12.76 cnf(matrix-1919, plain, ( ~c_Finite__Set_Ofun__left__comm(_u2473, _u2474, _u2475) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2473, _u2474, _u2475, _u2476, _u2477), _u2478)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2473, _u2474, _u2475, _u2476, _u2477), _u2479)) | ( _u2479 = _u2478) )).
% 12.54/12.76 cnf(matrix-1920, plain, ( ~class_Groups_Oordered__ab__group__add(_u2480) | ( hAPP(c_Set_Oimage(_u2480, _u2480, c_Groups_Ouminus__class_Ouminus(_u2480)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u2480, _u2481, _u2482)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u2480, hAPP(c_Groups_Ouminus__class_Ouminus(_u2480), _u2482), hAPP(c_Groups_Ouminus__class_Ouminus(_u2480), _u2481))) )).
% 12.54/12.76 cnf(matrix-1921, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u2483, _u2484, c_Orderings_Obot__class_Obot(tc_fun(_u2483, tc_HOL_Obool))), _u2485)) )).
% 12.54/12.76 cnf(matrix-1922, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u2486, _u2487, _u2488), _u2489)) | ( _u2488 != c_Orderings_Obot__class_Obot(tc_fun(_u2486, tc_HOL_Obool))) )).
% 12.54/12.76 cnf(matrix-1923, plain, ( ~class_Groups_Oordered__ab__group__add(_u2490) | ( hAPP(c_Set_Oimage(_u2490, _u2490, c_Groups_Ouminus__class_Ouminus(_u2490)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2490, _u2491), _u2492)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u2490, hAPP(c_Groups_Ouminus__class_Ouminus(_u2490), _u2492), hAPP(c_Groups_Ouminus__class_Ouminus(_u2490), _u2491))) )).
% 12.54/12.76 cnf(matrix-1924, plain, ( ~class_Groups_Oordered__ab__group__add(_u2493) | ( hAPP(c_Set_Oimage(_u2493, _u2493, c_Groups_Ouminus__class_Ouminus(_u2493)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u2493, _u2494, _u2495)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2493, hAPP(c_Groups_Ouminus__class_Ouminus(_u2493), _u2495)), hAPP(c_Groups_Ouminus__class_Ouminus(_u2493), _u2494))) )).
% 12.54/12.76 cnf(matrix-1925, plain, ( ~class_Groups_Oordered__ab__group__add(_u2496) | ( hAPP(c_Set_Oimage(_u2496, _u2496, c_Groups_Ouminus__class_Ouminus(_u2496)), hAPP(c_SetInterval_Oord__class_OlessThan(_u2496), _u2497)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u2496), hAPP(c_Groups_Ouminus__class_Ouminus(_u2496), _u2497))) )).
% 12.54/12.76 cnf(matrix-1926, plain, ( ~class_Groups_Oordered__ab__group__add(_u2498) | ( hAPP(c_Set_Oimage(_u2498, _u2498, c_Groups_Ouminus__class_Ouminus(_u2498)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u2498), _u2499)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u2498), hAPP(c_Groups_Ouminus__class_Ouminus(_u2498), _u2499))) )).
% 12.54/12.76 cnf(matrix-1927, plain, ( ~class_Groups_Oordered__ab__group__add(_u2500) | ( hAPP(c_Set_Oimage(_u2500, _u2500, c_Groups_Ouminus__class_Ouminus(_u2500)), hAPP(c_SetInterval_Oord__class_OatLeast(_u2500), _u2501)) = hAPP(c_SetInterval_Oord__class_OatMost(_u2500), hAPP(c_Groups_Ouminus__class_Ouminus(_u2500), _u2501))) )).
% 12.54/12.76 cnf(matrix-1928, plain, ( ~class_Groups_Oordered__ab__group__add(_u2502) | ( hAPP(c_Set_Oimage(_u2502, _u2502, c_Groups_Ouminus__class_Ouminus(_u2502)), hAPP(c_SetInterval_Oord__class_OatMost(_u2502), _u2503)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u2502), hAPP(c_Groups_Ouminus__class_Ouminus(_u2502), _u2503))) )).
% 12.54/12.76 cnf(matrix-1929, plain, ( ~class_Groups_Oab__semigroup__mult(_u2504) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2504, _u2504, c_Groups_Otimes__class_Otimes(_u2504), _u2505, _u2506), _u2507)) | hBOOL(hAPP(hAPP(c_member(_u2504), _u2505), _u2506)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2504, _u2504, c_Groups_Otimes__class_Otimes(_u2504), _u2508, hAPP(hAPP(c_Set_Oinsert(_u2504), _u2505), _u2506)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2504), _u2508), _u2507))) )).
% 12.54/12.76 cnf(matrix-1930, plain, ( ( hAPP(c_Set_Oimage(_u2509, _u2510, _u2511), c_Orderings_Otop__class_Otop(tc_fun(_u2509, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u2510, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2510, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2510, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2509, _u2510, _u2511), _u2512))), hAPP(c_Set_Oimage(_u2509, _u2510, _u2511), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2509, tc_HOL_Obool)), _u2512)))) )).
% 12.54/12.76 cnf(matrix-1931, plain, ( ( hAPP(c_Set_Oimage(_u2514, tc_fun(_u2514, tc_HOL_Obool), _u2513), _u2515) != hAPP(c_Set_OPow(_u2514), _u2515)) )).
% 12.54/12.76 cnf(matrix-1932, plain, ( ~c_Finite__Set_Ofolding__one(_u2516, _u2517, _u2518) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2516), _u2519)) | ~hBOOL(hAPP(hAPP(c_member(_u2516), _u2520), _u2519)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2516, tc_HOL_Obool)), _u2519), hAPP(hAPP(c_Set_Oinsert(_u2516), _u2520), c_Orderings_Obot__class_Obot(tc_fun(_u2516, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2516, tc_HOL_Obool))) | ( hAPP(_u2518, _u2519) = _u2520) )).
% 12.54/12.76 cnf(matrix-1933, plain, ( ~c_Finite__Set_Ofolding__one(_u2516, _u2517, _u2518) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2516), _u2519)) | ~hBOOL(hAPP(hAPP(c_member(_u2516), _u2520), _u2519)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2516, tc_HOL_Obool)), _u2519), hAPP(hAPP(c_Set_Oinsert(_u2516), _u2520), c_Orderings_Obot__class_Obot(tc_fun(_u2516, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2516, tc_HOL_Obool))) | ( hAPP(_u2518, _u2519) = hAPP(hAPP(_u2517, _u2520), hAPP(_u2518, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2516, tc_HOL_Obool)), _u2519), hAPP(hAPP(c_Set_Oinsert(_u2516), _u2520), c_Orderings_Obot__class_Obot(tc_fun(_u2516, tc_HOL_Obool))))))) )).
% 12.54/12.76 cnf(matrix-1934, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u2523, _u2524, hAPP(hAPP(c_Set_Oinsert(_u2523), _u2525), _u2526)), _u2527)) | ( hAPP(hAPP(c_Set_Oinsert(_u2523), _u2525), _u2526) = hAPP(hAPP(c_Set_Oinsert(_u2523), skolem55(_u2527, _u2526, _u2525, _u2524, _u2523)), skolem56(_u2527, _u2526, _u2525, _u2524, _u2523))) )).
% 12.54/12.76 cnf(matrix-1935, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u2523, _u2524, hAPP(hAPP(c_Set_Oinsert(_u2523), _u2525), _u2526)), _u2527)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2523, _u2523, _u2524, skolem55(_u2527, _u2526, _u2525, _u2524, _u2523), skolem56(_u2527, _u2526, _u2525, _u2524, _u2523)), _u2527)) )).
% 12.54/12.76 cnf(matrix-1936, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u2523, _u2524, hAPP(hAPP(c_Set_Oinsert(_u2523), _u2525), _u2526)), _u2527)) | ~hBOOL(hAPP(hAPP(c_member(_u2523), skolem55(_u2527, _u2526, _u2525, _u2524, _u2523)), skolem56(_u2527, _u2526, _u2525, _u2524, _u2523))) )).
% 12.54/12.76 cnf(matrix-1937, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u2537, _u2539, hAPP(hAPP(c_Set_Oinsert(_u2537), _u2541), _u2543)), _u2545)) | ( hAPP(hAPP(c_Set_Oinsert(_u2537), _u2541), _u2543) = hAPP(hAPP(c_Set_Oinsert(_u2537), skolem57(_u2545, _u2543, _u2541, _u2539, _u2537)), skolem58(_u2545, _u2543, _u2541, _u2539, _u2537))) )).
% 12.54/12.76 cnf(matrix-1938, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u2537, _u2539, hAPP(hAPP(c_Set_Oinsert(_u2537), _u2541), _u2543)), _u2545)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2537, _u2537, _u2539, skolem57(_u2545, _u2543, _u2541, _u2539, _u2537), skolem58(_u2545, _u2543, _u2541, _u2539, _u2537)), _u2545)) )).
% 12.54/12.76 cnf(matrix-1939, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u2537, _u2539, hAPP(hAPP(c_Set_Oinsert(_u2537), _u2541), _u2543)), _u2545)) | ~hBOOL(hAPP(hAPP(c_member(_u2537), skolem57(_u2545, _u2543, _u2541, _u2539, _u2537)), skolem58(_u2545, _u2543, _u2541, _u2539, _u2537))) )).
% 12.54/12.76 cnf(matrix-1940, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u2538), _u2542), _u2544) != hAPP(hAPP(c_Set_Oinsert(_u2538), _u2531), _u2530)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2538, _u2538, _u2540, _u2531, _u2530), _u2546)) | hBOOL(hAPP(hAPP(c_member(_u2538), _u2531), _u2530)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u2538, _u2540, hAPP(hAPP(c_Set_Oinsert(_u2538), _u2542), _u2544)), _u2546)) )).
% 12.54/12.76 cnf(matrix-1941, plain, ( ~c_Finite__Set_Ofun__left__comm(_u2548, _u2549, _u2550) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2548, _u2549, _u2550, _u2551, hAPP(hAPP(c_Set_Oinsert(_u2548), _u2552), _u2553)), _u2554)) | hBOOL(hAPP(hAPP(c_member(_u2548), _u2552), _u2553)) | ( _u2554 = hAPP(hAPP(_u2550, _u2552), skolem59(_u2554, _u2553, _u2552, _u2551, _u2550, _u2549, _u2548))) )).
% 12.54/12.76 cnf(matrix-1942, plain, ( ~c_Finite__Set_Ofun__left__comm(_u2548, _u2549, _u2550) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2548, _u2549, _u2550, _u2551, hAPP(hAPP(c_Set_Oinsert(_u2548), _u2552), _u2553)), _u2554)) | hBOOL(hAPP(hAPP(c_member(_u2548), _u2552), _u2553)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2548, _u2549, _u2550, _u2551, _u2553), skolem59(_u2554, _u2553, _u2552, _u2551, _u2550, _u2549, _u2548))) )).
% 12.54/12.76 cnf(matrix-1943, plain, ( ~c_Finite__Set_Ofolding__one(_u2555, _u2556, _u2557) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2555), _u2558)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2555), _u2559)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2555, tc_HOL_Obool)), _u2558), _u2559) = c_Orderings_Obot__class_Obot(tc_fun(_u2555, tc_HOL_Obool))) | ( hAPP(hAPP(_u2556, hAPP(_u2557, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2555, tc_HOL_Obool)), _u2558), _u2559))), hAPP(_u2557, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2555, tc_HOL_Obool)), _u2558), _u2559))) = hAPP(hAPP(_u2556, hAPP(_u2557, _u2558)), hAPP(_u2557, _u2559))) )).
% 12.54/12.76 cnf(matrix-1944, plain, ( ~c_Finite__Set_Ofolding__one(_u2560, _u2561, _u2562) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2560), _u2563)) | ( _u2563 = c_Orderings_Obot__class_Obot(tc_fun(_u2560, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2560), _u2564)) | ( _u2564 = c_Orderings_Obot__class_Obot(tc_fun(_u2560, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2560, tc_HOL_Obool)), _u2563), _u2564) != c_Orderings_Obot__class_Obot(tc_fun(_u2560, tc_HOL_Obool))) | ( hAPP(_u2562, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2560, tc_HOL_Obool)), _u2563), _u2564)) = hAPP(hAPP(_u2561, hAPP(_u2562, _u2563)), hAPP(_u2562, _u2564))) )).
% 12.54/12.76 cnf(matrix-1945, plain, ( ~c_Finite__Set_Ofolding__one(_u2565, _u2566, _u2567) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2565), _u2568)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2565, tc_HOL_Obool)), _u2568), hAPP(hAPP(c_Set_Oinsert(_u2565), _u2569), c_Orderings_Obot__class_Obot(tc_fun(_u2565, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2565, tc_HOL_Obool))) | ( hAPP(_u2567, hAPP(hAPP(c_Set_Oinsert(_u2565), _u2569), _u2568)) = _u2569) )).
% 12.54/12.76 cnf(matrix-1946, plain, ( ~c_Finite__Set_Ofolding__one(_u2565, _u2566, _u2567) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2565), _u2568)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2565, tc_HOL_Obool)), _u2568), hAPP(hAPP(c_Set_Oinsert(_u2565), _u2569), c_Orderings_Obot__class_Obot(tc_fun(_u2565, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2565, tc_HOL_Obool))) | ( hAPP(_u2567, hAPP(hAPP(c_Set_Oinsert(_u2565), _u2569), _u2568)) = hAPP(hAPP(_u2566, _u2569), hAPP(_u2567, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2565, tc_HOL_Obool)), _u2568), hAPP(hAPP(c_Set_Oinsert(_u2565), _u2569), c_Orderings_Obot__class_Obot(tc_fun(_u2565, tc_HOL_Obool))))))) )).
% 12.54/12.76 cnf(matrix-1947, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u2570), c_Orderings_Obot__class_Obot(tc_fun(_u2570, tc_HOL_Obool)))) )).
% 12.54/12.76 cnf(matrix-1948, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2571), _u2572)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2571), hAPP(hAPP(c_Set_Oinsert(_u2571), _u2573), _u2572))) )).
% 12.54/12.76 cnf(matrix-1949, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2574), _u2575)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2576), hAPP(c_Set_Oimage(_u2574, _u2576, _u2577), _u2575))) )).
% 12.54/12.76 cnf(matrix-1950, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u2578), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2578, tc_HOL_Obool)), _u2579), _u2580))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2578), _u2579)) )).
% 12.54/12.76 cnf(matrix-1951, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u2578), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2578, tc_HOL_Obool)), _u2579), _u2580))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2578), _u2580)) )).
% 12.54/12.76 cnf(matrix-1952, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2581), _u2582)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2581), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2581, tc_HOL_Obool)), _u2582), _u2583))) )).
% 12.54/12.76 cnf(matrix-1953, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2585, tc_HOL_Obool)), _u2584), _u2586)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2585), _u2584)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2585), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u2585, tc_HOL_Obool), _u2586))) )).
% 12.54/12.76 cnf(matrix-1954, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2589), _u2590)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2591), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2589, tc_fun(_u2591, tc_HOL_Obool)), _u2590), _u2592))) | ~hBOOL(hAPP(hAPP(c_member(_u2589), _u2587), _u2590)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2591), hAPP(_u2592, _u2587))) )).
% 12.54/12.76 cnf(matrix-1955, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2589), _u2590)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2591), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2589, tc_fun(_u2591, tc_HOL_Obool)), _u2590), _u2592))) | hBOOL(hAPP(hAPP(c_member(_u2589), skolem60(_u2592, _u2591, _u2590, _u2589)), _u2590)) )).
% 12.54/12.76 cnf(matrix-1956, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2589), _u2590)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2591), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2589, tc_fun(_u2591, tc_HOL_Obool)), _u2590), _u2592))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2591), hAPP(_u2592, skolem60(_u2592, _u2591, _u2590, _u2589)))) )).
% 12.54/12.76 cnf(matrix-1957, plain, ( ~class_Finite__Set_Ofinite(_u2593) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2593), _u2594)) )).
% 12.54/12.76 cnf(matrix-1958, plain, ( ~class_Finite__Set_Ofinite(_u2595) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2595), _u2596)) )).
% 12.54/12.76 cnf(matrix-1959, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2597), c_Orderings_Otop__class_Otop(tc_fun(_u2597, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2598), c_Orderings_Otop__class_Otop(tc_fun(_u2598, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u2597, _u2598)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u2597, _u2598), tc_HOL_Obool)))) )).
% 12.54/12.76 cnf(matrix-1960, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u2600)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u2600), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2600), c_Orderings_Otop__class_Otop(tc_fun(_u2600, tc_HOL_Obool)))) )).
% 12.54/12.76 cnf(matrix-1961, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2601), c_Orderings_Otop__class_Otop(tc_fun(_u2601, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u2601)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u2601), tc_HOL_Obool)))) )).
% 12.54/12.76 cnf(matrix-1962, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u2604, _u2606)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u2604, _u2606), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2604), c_Orderings_Otop__class_Otop(tc_fun(_u2604, tc_HOL_Obool)))) )).
% 12.54/12.76 cnf(matrix-1963, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u2604, _u2606)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u2604, _u2606), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2606), c_Orderings_Otop__class_Otop(tc_fun(_u2606, tc_HOL_Obool)))) )).
% 12.54/12.76 cnf(matrix-1964, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2605), c_Orderings_Otop__class_Otop(tc_fun(_u2605, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2607), c_Orderings_Otop__class_Otop(tc_fun(_u2607, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u2605, _u2607)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u2605, _u2607), tc_HOL_Obool)))) )).
% 12.54/12.76 cnf(matrix-1965, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2608), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2608, tc_HOL_Obool), _u2609))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2608, tc_HOL_Obool)), _u2609)) )).
% 12.54/12.76 cnf(matrix-1966, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2612, tc_HOL_Obool)), hAPP(c_Set_OPow(_u2612), _u2614))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2612), _u2614)) )).
% 12.54/12.76 cnf(matrix-1967, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2613), _u2615)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2613, tc_HOL_Obool)), hAPP(c_Set_OPow(_u2613), _u2615))) )).
% 12.54/12.76 cnf(matrix-1968, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u2616), c_Orderings_Obot__class_Obot(tc_fun(_u2616, tc_HOL_Obool)))) )).
% 12.54/12.76 cnf(matrix-1969, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2620), hAPP(hAPP(c_Set_Oinsert(_u2620), _u2622), _u2624))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2620), _u2624)) )).
% 12.54/12.76 cnf(matrix-1970, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2621), _u2625)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2621), hAPP(hAPP(c_Set_Oinsert(_u2621), _u2623), _u2625))) )).
% 12.54/12.76 cnf(matrix-1971, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u2627), c_Orderings_Otop__class_Otop(tc_fun(_u2627, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2626, _u2627)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u2626, _u2627), tc_HOL_Obool)))) )).
% 12.54/12.76 cnf(matrix-1972, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2628, tc_HOL_Obool)), _u2629), _u2630)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2628), _u2630)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2628), _u2629)) )).
% 12.54/12.76 cnf(matrix-1973, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2631), _u2632)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2631, tc_HOL_Obool)), _u2633), _u2632)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2631), _u2633)) )).
% 12.54/12.76 cnf(matrix-1974, plain, ( ~class_Finite__Set_Ofinite(_u2634) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2634), c_Orderings_Otop__class_Otop(tc_fun(_u2634, tc_HOL_Obool)))) )).
% 12.54/12.76 cnf(matrix-1975, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2635), _u2636)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2635), _u2637)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2635), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2635, tc_HOL_Obool)), _u2636), _u2637))) )).
% 12.54/12.76 cnf(matrix-1976, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2641), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2641, tc_HOL_Obool)), _u2643), _u2645))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2641), _u2643)) )).
% 12.54/12.76 cnf(matrix-1977, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2641), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2641, tc_HOL_Obool)), _u2643), _u2645))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2641), _u2645)) )).
% 12.54/12.76 cnf(matrix-1978, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2642), _u2644)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2642), _u2646)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2642), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2642, tc_HOL_Obool)), _u2644), _u2646))) )).
% 12.54/12.76 cnf(matrix-1979, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2647), _u2648)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2647), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2647, tc_HOL_Obool)), _u2649), _u2648))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2647), _u2649)) )).
% 12.54/12.76 cnf(matrix-1980, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2647), _u2648)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2647), _u2649)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2647), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2647, tc_HOL_Obool)), _u2649), _u2648))) )).
% 12.54/12.76 cnf(matrix-1981, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2650, _u2651, _u2652, _u2653, _u2654), _u2655)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2650), _u2654)) )).
% 12.54/12.76 cnf(matrix-1982, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2656), _u2657)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2658, tc_HOL_Obool)), _u2659), hAPP(c_Set_Oimage(_u2656, _u2658, _u2660), _u2657))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2658), _u2659)) )).
% 12.54/12.76 cnf(matrix-1983, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2665), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2665, tc_HOL_Obool)), _u2667), hAPP(hAPP(c_Set_Oinsert(_u2665), _u2669), _u2671)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2665), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2665, tc_HOL_Obool)), _u2667), _u2671))) )).
% 12.54/12.76 cnf(matrix-1984, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2666), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2666, tc_HOL_Obool)), _u2668), _u2672))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2666), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2666, tc_HOL_Obool)), _u2668), hAPP(hAPP(c_Set_Oinsert(_u2666), _u2670), _u2672)))) )).
% 12.54/12.76 cnf(matrix-1985, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2673), _u2674)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2673), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2673, tc_HOL_Obool)), _u2674))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2673), c_Orderings_Otop__class_Otop(tc_fun(_u2673, tc_HOL_Obool)))) )).
% 12.54/12.76 cnf(matrix-1986, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2673), _u2674)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2673), c_Orderings_Otop__class_Otop(tc_fun(_u2673, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2673), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2673, tc_HOL_Obool)), _u2674))) )).
% 12.54/12.76 cnf(matrix-1987, plain, ( ~c_Finite__Set_Ofolding__one(_u2675, _u2676, _u2677) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2675), _u2678)) | hBOOL(hAPP(hAPP(c_member(_u2675), _u2679), _u2678)) | ( _u2678 = c_Orderings_Obot__class_Obot(tc_fun(_u2675, tc_HOL_Obool))) | ( hAPP(_u2677, hAPP(hAPP(c_Set_Oinsert(_u2675), _u2679), _u2678)) = hAPP(hAPP(_u2676, _u2679), hAPP(_u2677, _u2678))) )).
% 12.54/12.76 cnf(matrix-1988, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2681), _u2686)) | ~hBOOL(hAPP(hAPP(c_member(_u2681), _u2687), _u2686)) | ( hAPP(_u2685, _u2686) = hAPP(hAPP(_u2682, hAPP(_u2684, _u2687)), hAPP(_u2685, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2681, tc_HOL_Obool)), _u2686), hAPP(hAPP(c_Set_Oinsert(_u2681), _u2687), c_Orderings_Obot__class_Obot(tc_fun(_u2681, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u2680, _u2681, _u2682, _u2683, _u2684, _u2685) )).
% 12.54/12.76 cnf(matrix-1989, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2689), _u2694)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2689), _u2695)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2689, tc_HOL_Obool)), _u2694), _u2695) != c_Orderings_Obot__class_Obot(tc_fun(_u2689, tc_HOL_Obool))) | ( hAPP(_u2693, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2689, tc_HOL_Obool)), _u2694), _u2695)) = hAPP(hAPP(_u2690, hAPP(_u2693, _u2694)), hAPP(_u2693, _u2695))) | ~c_Finite__Set_Ofolding__image__simple(_u2688, _u2689, _u2690, _u2691, _u2692, _u2693) )).
% 12.54/12.76 cnf(matrix-1990, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2697), _u2702)) | ( hAPP(_u2701, hAPP(hAPP(c_Set_Oinsert(_u2697), _u2703), _u2702)) = hAPP(hAPP(_u2698, hAPP(_u2700, _u2703)), hAPP(_u2701, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2697, tc_HOL_Obool)), _u2702), hAPP(hAPP(c_Set_Oinsert(_u2697), _u2703), c_Orderings_Obot__class_Obot(tc_fun(_u2697, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u2696, _u2697, _u2698, _u2699, _u2700, _u2701) )).
% 12.54/12.76 cnf(matrix-1991, plain, ( ~class_Lattices_Olattice(_u2704) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2704), _u2705)) | ~hBOOL(hAPP(hAPP(c_member(_u2704), _u2706), _u2705)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2704, tc_HOL_Obool)), _u2705), hAPP(hAPP(c_Set_Oinsert(_u2704), _u2706), c_Orderings_Obot__class_Obot(tc_fun(_u2704, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2704, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u2704, _u2705) = _u2706) )).
% 12.54/12.76 cnf(matrix-1992, plain, ( ~class_Lattices_Olattice(_u2704) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2704), _u2705)) | ~hBOOL(hAPP(hAPP(c_member(_u2704), _u2706), _u2705)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2704, tc_HOL_Obool)), _u2705), hAPP(hAPP(c_Set_Oinsert(_u2704), _u2706), c_Orderings_Obot__class_Obot(tc_fun(_u2704, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2704, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u2704, _u2705) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2704), _u2706), c_Big__Operators_Olattice__class_OInf__fin(_u2704, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2704, tc_HOL_Obool)), _u2705), hAPP(hAPP(c_Set_Oinsert(_u2704), _u2706), c_Orderings_Obot__class_Obot(tc_fun(_u2704, tc_HOL_Obool))))))) )).
% 12.54/12.76 cnf(matrix-1993, plain, ( ~class_Lattices_Olattice(_u2707) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2707), _u2708)) | ~hBOOL(hAPP(hAPP(c_member(_u2707), _u2709), _u2708)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2707, tc_HOL_Obool)), _u2708), hAPP(hAPP(c_Set_Oinsert(_u2707), _u2709), c_Orderings_Obot__class_Obot(tc_fun(_u2707, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2707, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u2707, _u2708) = _u2709) )).
% 12.54/12.76 cnf(matrix-1994, plain, ( ~class_Lattices_Olattice(_u2707) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2707), _u2708)) | ~hBOOL(hAPP(hAPP(c_member(_u2707), _u2709), _u2708)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2707, tc_HOL_Obool)), _u2708), hAPP(hAPP(c_Set_Oinsert(_u2707), _u2709), c_Orderings_Obot__class_Obot(tc_fun(_u2707, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2707, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u2707, _u2708) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2707), _u2709), c_Big__Operators_Olattice__class_OSup__fin(_u2707, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2707, tc_HOL_Obool)), _u2708), hAPP(hAPP(c_Set_Oinsert(_u2707), _u2709), c_Orderings_Obot__class_Obot(tc_fun(_u2707, tc_HOL_Obool))))))) )).
% 12.54/12.76 cnf(matrix-1995, plain, ( ~c_Finite__Set_Ofolding__one(_u2712, _u2713, _u2714) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2712), _u2715)) | ( _u2715 = c_Orderings_Obot__class_Obot(tc_fun(_u2712, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2712), hAPP(hAPP(_u2713, skolem61(_u2715, _u2714, _u2713, _u2712)), skolem62(_u2715, _u2714, _u2713, _u2712))), hAPP(hAPP(c_Set_Oinsert(_u2712), skolem61(_u2715, _u2714, _u2713, _u2712)), hAPP(hAPP(c_Set_Oinsert(_u2712), skolem62(_u2715, _u2714, _u2713, _u2712)), c_Orderings_Obot__class_Obot(tc_fun(_u2712, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u2712), hAPP(_u2714, _u2715)), _u2715)) )).
% 12.54/12.76 cnf(matrix-1996, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2722), _u2724), _u2726)) | ( hAPP(c_Set_Oimage(_u2722, _u2728, c_Fun_Ofun__upd(_u2722, _u2728, _u2730, _u2724, _u2732)), _u2726) = hAPP(hAPP(c_Set_Oinsert(_u2728), _u2732), hAPP(c_Set_Oimage(_u2722, _u2728, _u2730), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2722, tc_HOL_Obool)), _u2726), hAPP(hAPP(c_Set_Oinsert(_u2722), _u2724), c_Orderings_Obot__class_Obot(tc_fun(_u2722, tc_HOL_Obool))))))) )).
% 12.54/12.76 cnf(matrix-1997, plain, ( hBOOL(hAPP(hAPP(c_member(_u2723), _u2725), _u2727)) | ( hAPP(c_Set_Oimage(_u2723, _u2729, c_Fun_Ofun__upd(_u2723, _u2729, _u2731, _u2725, _u2733)), _u2727) = hAPP(c_Set_Oimage(_u2723, _u2729, _u2731), _u2727)) )).
% 12.54/12.76 cnf(matrix-1998, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2736), _u2737)) | ~hBOOL(hAPP(_u2738, _u2737)) | hBOOL(hAPP(_u2738, c_Orderings_Obot__class_Obot(tc_fun(_u2736, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2736), skolem64(_u2738, _u2737, _u2736))) )).
% 12.54/12.76 cnf(matrix-1999, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2736), _u2737)) | ~hBOOL(hAPP(_u2738, _u2737)) | hBOOL(hAPP(_u2738, c_Orderings_Obot__class_Obot(tc_fun(_u2736, tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_member(_u2736), skolem63(_u2738, _u2737, _u2736)), skolem64(_u2738, _u2737, _u2736))) )).
% 12.54/12.76 cnf(matrix-2000, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2736), _u2737)) | ~hBOOL(hAPP(_u2738, _u2737)) | hBOOL(hAPP(_u2738, c_Orderings_Obot__class_Obot(tc_fun(_u2736, tc_HOL_Obool)))) | hBOOL(hAPP(_u2738, skolem64(_u2738, _u2737, _u2736))) )).
% 12.54/12.76 cnf(matrix-2001, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2736), _u2737)) | ~hBOOL(hAPP(_u2738, _u2737)) | hBOOL(hAPP(_u2738, c_Orderings_Obot__class_Obot(tc_fun(_u2736, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u2738, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2736, tc_HOL_Obool)), skolem64(_u2738, _u2737, _u2736)), hAPP(hAPP(c_Set_Oinsert(_u2736), skolem63(_u2738, _u2737, _u2736)), c_Orderings_Obot__class_Obot(tc_fun(_u2736, tc_HOL_Obool)))))) )).
% 12.54/12.76 cnf(matrix-2002, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u2739, _u2740, _u2741) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2739), _u2742)) | ( _u2742 = c_Orderings_Obot__class_Obot(tc_fun(_u2739, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2739), _u2743)) | ( _u2743 = c_Orderings_Obot__class_Obot(tc_fun(_u2739, tc_HOL_Obool))) | ( hAPP(_u2741, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2739, tc_HOL_Obool)), _u2742), _u2743)) = hAPP(hAPP(_u2740, hAPP(_u2741, _u2742)), hAPP(_u2741, _u2743))) )).
% 12.54/12.76 cnf(matrix-2003, plain, ( ( c_Fun_Ofun__upd(_u2744, _u2745, _u2746, _u2747, hAPP(_u2746, _u2747)) = _u2746) )).
% 12.54/12.76 cnf(matrix-2004, plain, ( ( hAPP(_u2748, _u2749) != _u2750) | ( c_Fun_Ofun__upd(_u2751, _u2752, _u2748, _u2749, _u2750) = _u2748) )).
% 12.54/12.76 cnf(matrix-2005, plain, ( ( _u2753 = _u2754) | ( hAPP(c_Fun_Ofun__upd(_u2755, _u2756, _u2757, _u2754, _u2758), _u2753) = hAPP(_u2757, _u2753)) )).
% 12.54/12.76 cnf(matrix-2006, plain, ( ( _u2759 = _u2760) | ( c_Fun_Ofun__upd(_u2761, _u2762, c_Fun_Ofun__upd(_u2761, _u2762, _u2763, _u2759, _u2764), _u2760, _u2765) = c_Fun_Ofun__upd(_u2761, _u2762, c_Fun_Ofun__upd(_u2761, _u2762, _u2763, _u2760, _u2765), _u2759, _u2764)) )).
% 12.54/12.76 cnf(matrix-2007, plain, ( ( _u2772 != _u2774) | ( hAPP(c_Fun_Ofun__upd(_u2776, _u2778, _u2780, _u2774, _u2782), _u2772) = _u2782) )).
% 12.54/12.76 cnf(matrix-2008, plain, ( ( _u2773 = _u2775) | ( hAPP(c_Fun_Ofun__upd(_u2777, _u2779, _u2781, _u2775, _u2783), _u2773) = hAPP(_u2781, _u2773)) )).
% 12.54/12.76 cnf(matrix-2009, plain, ( ( hAPP(c_Fun_Ofun__upd(_u2784, _u2785, _u2786, _u2787, _u2788), _u2787) = _u2788) )).
% 12.54/12.76 cnf(matrix-2010, plain, ( ( c_Fun_Ofun__upd(_u2789, _u2790, c_Fun_Ofun__upd(_u2789, _u2790, _u2791, _u2792, _u2793), _u2792, _u2794) = c_Fun_Ofun__upd(_u2789, _u2790, _u2791, _u2792, _u2794)) )).
% 12.54/12.76 cnf(matrix-2011, plain, ( ( hAPP(_u2804, _u2806) = _u2808) | ( c_Fun_Ofun__upd(_u2800, _u2802, _u2804, _u2806, _u2808) != _u2804) )).
% 12.54/12.76 cnf(matrix-2012, plain, ( ( hAPP(_u2805, _u2807) != _u2809) | ( c_Fun_Ofun__upd(_u2801, _u2803, _u2805, _u2807, _u2809) = _u2805) )).
% 12.54/12.76 cnf(matrix-2013, plain, ( ( hAPP(hAPP(_u2811, _u2813), _u2813) = _u2813) | ~c_Finite__Set_Ofolding__one__idem(_u2810, _u2811, _u2812) )).
% 12.54/12.76 cnf(matrix-2014, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2827), _u2816), _u2829)) | ~hBOOL(hAPP(hAPP(c_member(_u2825), _u2815), hAPP(_u2831, _u2816))) | hBOOL(hAPP(_u2833, _u2815)) | hBOOL(hAPP(hAPP(c_member(_u2825), skolem65(_u2833, _u2831, _u2829, _u2827, _u2825)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2827, tc_fun(_u2825, tc_HOL_Obool)), _u2829), _u2831))) )).
% 12.54/12.76 cnf(matrix-2015, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2827), _u2816), _u2829)) | ~hBOOL(hAPP(hAPP(c_member(_u2825), _u2815), hAPP(_u2831, _u2816))) | hBOOL(hAPP(_u2833, _u2815)) | ~hBOOL(hAPP(_u2833, skolem65(_u2833, _u2831, _u2829, _u2827, _u2825))) )).
% 12.54/12.76 cnf(matrix-2016, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2826), _u2819), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2828, tc_fun(_u2826, tc_HOL_Obool)), _u2830), _u2832))) | hBOOL(hAPP(_u2834, _u2819)) | hBOOL(hAPP(hAPP(c_member(_u2828), skolem66(_u2834, _u2832, _u2830, _u2828, _u2826)), _u2830)) )).
% 12.54/12.76 cnf(matrix-2017, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2826), _u2819), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2828, tc_fun(_u2826, tc_HOL_Obool)), _u2830), _u2832))) | hBOOL(hAPP(_u2834, _u2819)) | hBOOL(hAPP(hAPP(c_member(_u2826), skolem67(_u2834, _u2832, _u2830, _u2828, _u2826)), hAPP(_u2832, skolem66(_u2834, _u2832, _u2830, _u2828, _u2826)))) )).
% 12.54/12.76 cnf(matrix-2018, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2826), _u2819), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2828, tc_fun(_u2826, tc_HOL_Obool)), _u2830), _u2832))) | hBOOL(hAPP(_u2834, _u2819)) | ~hBOOL(hAPP(_u2834, skolem67(_u2834, _u2832, _u2830, _u2828, _u2826))) )).
% 12.54/12.76 cnf(matrix-2019, plain, ( ~class_Lattices_Olattice(_u2835) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2835), _u2836)) | ( _u2836 = c_Orderings_Obot__class_Obot(tc_fun(_u2835, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2835), c_Big__Operators_Olattice__class_OInf__fin(_u2835, _u2836)), c_Big__Operators_Olattice__class_OSup__fin(_u2835, _u2836))) )).
% 12.54/12.76 cnf(matrix-2020, plain, ( ( hAPP(_u2842, c_Orderings_Obot__class_Obot(tc_fun(_u2838, tc_HOL_Obool))) = _u2840) | ~c_Finite__Set_Ofolding__image__simple(_u2837, _u2838, _u2839, _u2840, _u2841, _u2842) )).
% 12.54/12.76 cnf(matrix-2021, plain, ( ~class_Lattices_Olattice(_u2843) | ( c_Big__Operators_Olattice__class_OInf__fin(_u2843, hAPP(hAPP(c_Set_Oinsert(_u2843), _u2844), c_Orderings_Obot__class_Obot(tc_fun(_u2843, tc_HOL_Obool)))) = _u2844) )).
% 12.54/12.76 cnf(matrix-2022, plain, ( ~class_Lattices_Olattice(_u2845) | ( c_Big__Operators_Olattice__class_OSup__fin(_u2845, hAPP(hAPP(c_Set_Oinsert(_u2845), _u2846), c_Orderings_Obot__class_Obot(tc_fun(_u2845, tc_HOL_Obool)))) = _u2846) )).
% 12.54/12.76 cnf(matrix-2023, plain, ( ~class_Lattices_Olattice(_u2847) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2847), _u2848)) | ~hBOOL(hAPP(hAPP(c_member(_u2847), _u2849), _u2848)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2847), _u2849), c_Big__Operators_Olattice__class_OSup__fin(_u2847, _u2848)) = c_Big__Operators_Olattice__class_OSup__fin(_u2847, _u2848)) )).
% 12.54/12.76 cnf(matrix-2024, plain, ( ~class_Lattices_Olattice(_u2850) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2850), _u2851)) | ~hBOOL(hAPP(hAPP(c_member(_u2850), _u2852), _u2851)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2850), _u2852), c_Big__Operators_Olattice__class_OInf__fin(_u2850, _u2851)) = _u2852) )).
% 12.54/12.76 cnf(matrix-2025, plain, ( ~class_Lattices_Olattice(_u2853) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2853), _u2854)) | ~hBOOL(hAPP(hAPP(c_member(_u2853), _u2855), _u2854)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2853), _u2855), c_Big__Operators_Olattice__class_OInf__fin(_u2853, _u2854)) = c_Big__Operators_Olattice__class_OInf__fin(_u2853, _u2854)) )).
% 12.54/12.76 cnf(matrix-2026, plain, ( ~class_Lattices_Olattice(_u2856) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2856), _u2857)) | ~hBOOL(hAPP(hAPP(c_member(_u2856), _u2858), _u2857)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2856), _u2858), c_Big__Operators_Olattice__class_OSup__fin(_u2856, _u2857)) = _u2858) )).
% 12.54/12.76 cnf(matrix-2027, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2859) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2859), _u2860)) | ( _u2860 = c_Orderings_Obot__class_Obot(tc_fun(_u2859, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u2859, _u2860) = c_Complete__Lattice_OSup__class_OSup(_u2859, _u2860)) )).
% 12.54/12.76 cnf(matrix-2028, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2861) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2861), _u2862)) | ( _u2862 = c_Orderings_Obot__class_Obot(tc_fun(_u2861, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u2861, _u2862) = c_Complete__Lattice_OInf__class_OInf(_u2861, _u2862)) )).
% 12.54/12.76 cnf(matrix-2029, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u2863, _u2864, _u2865) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2863), _u2866)) | ~hBOOL(hAPP(hAPP(c_member(_u2863), _u2867), _u2866)) | ( hAPP(hAPP(_u2864, _u2867), hAPP(_u2865, _u2866)) = hAPP(_u2865, _u2866)) )).
% 12.54/12.76 cnf(matrix-2030, plain, ( ~class_Lattices_Olattice(_u2868) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2868), _u2869)) | ( _u2869 = c_Orderings_Obot__class_Obot(tc_fun(_u2868, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u2868, hAPP(hAPP(c_Set_Oinsert(_u2868), _u2870), _u2869)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2868), _u2870), c_Big__Operators_Olattice__class_OSup__fin(_u2868, _u2869))) )).
% 12.54/12.76 cnf(matrix-2031, plain, ( ~class_Lattices_Olattice(_u2871) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2871), _u2872)) | ( _u2872 = c_Orderings_Obot__class_Obot(tc_fun(_u2871, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u2871, hAPP(hAPP(c_Set_Oinsert(_u2871), _u2873), _u2872)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2871), _u2873), c_Big__Operators_Olattice__class_OInf__fin(_u2871, _u2872))) )).
% 12.54/12.76 cnf(matrix-2032, plain, ( ~class_Lattices_Olattice(_u2874) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2874), _u2875)) | ( _u2876 = c_Orderings_Obot__class_Obot(tc_fun(_u2874, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2874, tc_HOL_Obool)), _u2876), _u2875)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2874), c_Big__Operators_Olattice__class_OSup__fin(_u2874, _u2876)), c_Big__Operators_Olattice__class_OSup__fin(_u2874, _u2875)) = c_Big__Operators_Olattice__class_OSup__fin(_u2874, _u2875)) )).
% 12.54/12.76 cnf(matrix-2033, plain, ( ~class_Lattices_Olattice(_u2877) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2877), _u2878)) | ( _u2879 = c_Orderings_Obot__class_Obot(tc_fun(_u2877, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2877, tc_HOL_Obool)), _u2879), _u2878)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2877), c_Big__Operators_Olattice__class_OInf__fin(_u2877, _u2879)), c_Big__Operators_Olattice__class_OInf__fin(_u2877, _u2878)) = c_Big__Operators_Olattice__class_OInf__fin(_u2877, _u2878)) )).
% 12.54/12.76 cnf(matrix-2034, plain, ( ~class_Lattices_Olattice(_u2880) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2880), _u2881)) | ( _u2881 = c_Orderings_Obot__class_Obot(tc_fun(_u2880, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2880), _u2882)) | ( _u2882 = c_Orderings_Obot__class_Obot(tc_fun(_u2880, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u2880, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2880, tc_HOL_Obool)), _u2881), _u2882)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2880), c_Big__Operators_Olattice__class_OSup__fin(_u2880, _u2881)), c_Big__Operators_Olattice__class_OSup__fin(_u2880, _u2882))) )).
% 12.54/12.76 cnf(matrix-2035, plain, ( ~class_Lattices_Olattice(_u2883) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2883), _u2884)) | ( _u2884 = c_Orderings_Obot__class_Obot(tc_fun(_u2883, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2883), _u2885)) | ( _u2885 = c_Orderings_Obot__class_Obot(tc_fun(_u2883, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u2883, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2883, tc_HOL_Obool)), _u2884), _u2885)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2883), c_Big__Operators_Olattice__class_OInf__fin(_u2883, _u2884)), c_Big__Operators_Olattice__class_OInf__fin(_u2883, _u2885))) )).
% 12.54/12.76 cnf(matrix-2036, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2887), _u2892)) | hBOOL(hAPP(hAPP(c_member(_u2887), _u2893), _u2892)) | ( hAPP(_u2891, hAPP(hAPP(c_Set_Oinsert(_u2887), _u2893), _u2892)) = hAPP(hAPP(_u2888, hAPP(_u2890, _u2893)), hAPP(_u2891, _u2892))) | ~c_Finite__Set_Ofolding__image__simple(_u2886, _u2887, _u2888, _u2889, _u2890, _u2891) )).
% 12.54/12.76 cnf(matrix-2037, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2895), _u2900)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2895), _u2901)) | ( hAPP(hAPP(_u2896, hAPP(_u2899, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2895, tc_HOL_Obool)), _u2900), _u2901))), hAPP(_u2899, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2895, tc_HOL_Obool)), _u2900), _u2901))) = hAPP(hAPP(_u2896, hAPP(_u2899, _u2900)), hAPP(_u2899, _u2901))) | ~c_Finite__Set_Ofolding__image__simple(_u2894, _u2895, _u2896, _u2897, _u2898, _u2899) )).
% 12.54/12.76 cnf(matrix-2038, plain, ( ~class_Lattices_Olattice(_u2902) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2902), _u2903)) | hBOOL(hAPP(hAPP(c_member(_u2902), _u2904), _u2903)) | ( _u2903 = c_Orderings_Obot__class_Obot(tc_fun(_u2902, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u2902, hAPP(hAPP(c_Set_Oinsert(_u2902), _u2904), _u2903)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2902), _u2904), c_Big__Operators_Olattice__class_OSup__fin(_u2902, _u2903))) )).
% 12.54/12.76 cnf(matrix-2039, plain, ( ~class_Lattices_Olattice(_u2905) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2905), _u2906)) | hBOOL(hAPP(hAPP(c_member(_u2905), _u2907), _u2906)) | ( _u2906 = c_Orderings_Obot__class_Obot(tc_fun(_u2905, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u2905, hAPP(hAPP(c_Set_Oinsert(_u2905), _u2907), _u2906)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2905), _u2907), c_Big__Operators_Olattice__class_OInf__fin(_u2905, _u2906))) )).
% 12.54/12.76 cnf(matrix-2040, plain, ( ~class_Lattices_Olattice(_u2908) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2908), _u2909)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2908, tc_HOL_Obool)), _u2909), hAPP(hAPP(c_Set_Oinsert(_u2908), _u2910), c_Orderings_Obot__class_Obot(tc_fun(_u2908, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2908, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u2908, hAPP(hAPP(c_Set_Oinsert(_u2908), _u2910), _u2909)) = _u2910) )).
% 12.54/12.76 cnf(matrix-2041, plain, ( ~class_Lattices_Olattice(_u2908) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2908), _u2909)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2908, tc_HOL_Obool)), _u2909), hAPP(hAPP(c_Set_Oinsert(_u2908), _u2910), c_Orderings_Obot__class_Obot(tc_fun(_u2908, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2908, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u2908, hAPP(hAPP(c_Set_Oinsert(_u2908), _u2910), _u2909)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2908), _u2910), c_Big__Operators_Olattice__class_OSup__fin(_u2908, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2908, tc_HOL_Obool)), _u2909), hAPP(hAPP(c_Set_Oinsert(_u2908), _u2910), c_Orderings_Obot__class_Obot(tc_fun(_u2908, tc_HOL_Obool))))))) )).
% 12.54/12.76 cnf(matrix-2042, plain, ( ~class_Lattices_Olattice(_u2911) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2911), _u2912)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2911, tc_HOL_Obool)), _u2912), hAPP(hAPP(c_Set_Oinsert(_u2911), _u2913), c_Orderings_Obot__class_Obot(tc_fun(_u2911, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2911, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u2911, hAPP(hAPP(c_Set_Oinsert(_u2911), _u2913), _u2912)) = _u2913) )).
% 12.54/12.76 cnf(matrix-2043, plain, ( ~class_Lattices_Olattice(_u2911) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2911), _u2912)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2911, tc_HOL_Obool)), _u2912), hAPP(hAPP(c_Set_Oinsert(_u2911), _u2913), c_Orderings_Obot__class_Obot(tc_fun(_u2911, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2911, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u2911, hAPP(hAPP(c_Set_Oinsert(_u2911), _u2913), _u2912)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2911), _u2913), c_Big__Operators_Olattice__class_OInf__fin(_u2911, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2911, tc_HOL_Obool)), _u2912), hAPP(hAPP(c_Set_Oinsert(_u2911), _u2913), c_Orderings_Obot__class_Obot(tc_fun(_u2911, tc_HOL_Obool))))))) )).
% 12.54/12.76 cnf(matrix-2044, plain, ( ~class_Lattices_Olattice(_u2914) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2914), _u2915)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2914), _u2916)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2914, tc_HOL_Obool)), _u2915), _u2916) = c_Orderings_Obot__class_Obot(tc_fun(_u2914, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2914), c_Big__Operators_Olattice__class_OSup__fin(_u2914, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2914, tc_HOL_Obool)), _u2915), _u2916))), c_Big__Operators_Olattice__class_OSup__fin(_u2914, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2914, tc_HOL_Obool)), _u2915), _u2916))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2914), c_Big__Operators_Olattice__class_OSup__fin(_u2914, _u2915)), c_Big__Operators_Olattice__class_OSup__fin(_u2914, _u2916))) )).
% 12.54/12.76 cnf(matrix-2045, plain, ( ~class_Lattices_Olattice(_u2917) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2917), _u2918)) | ( _u2918 = c_Orderings_Obot__class_Obot(tc_fun(_u2917, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2917), _u2919)) | ( _u2919 = c_Orderings_Obot__class_Obot(tc_fun(_u2917, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2917, tc_HOL_Obool)), _u2918), _u2919) != c_Orderings_Obot__class_Obot(tc_fun(_u2917, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u2917, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2917, tc_HOL_Obool)), _u2918), _u2919)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2917), c_Big__Operators_Olattice__class_OSup__fin(_u2917, _u2918)), c_Big__Operators_Olattice__class_OSup__fin(_u2917, _u2919))) )).
% 12.54/12.76 cnf(matrix-2046, plain, ( ~class_Lattices_Olattice(_u2920) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2920), _u2921)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2920), _u2922)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2920, tc_HOL_Obool)), _u2921), _u2922) = c_Orderings_Obot__class_Obot(tc_fun(_u2920, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2920), c_Big__Operators_Olattice__class_OInf__fin(_u2920, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2920, tc_HOL_Obool)), _u2921), _u2922))), c_Big__Operators_Olattice__class_OInf__fin(_u2920, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2920, tc_HOL_Obool)), _u2921), _u2922))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2920), c_Big__Operators_Olattice__class_OInf__fin(_u2920, _u2921)), c_Big__Operators_Olattice__class_OInf__fin(_u2920, _u2922))) )).
% 12.54/12.76 cnf(matrix-2047, plain, ( ~class_Lattices_Olattice(_u2923) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2923), _u2924)) | ( _u2924 = c_Orderings_Obot__class_Obot(tc_fun(_u2923, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2923), _u2925)) | ( _u2925 = c_Orderings_Obot__class_Obot(tc_fun(_u2923, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2923, tc_HOL_Obool)), _u2924), _u2925) != c_Orderings_Obot__class_Obot(tc_fun(_u2923, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u2923, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2923, tc_HOL_Obool)), _u2924), _u2925)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2923), c_Big__Operators_Olattice__class_OInf__fin(_u2923, _u2924)), c_Big__Operators_Olattice__class_OInf__fin(_u2923, _u2925))) )).
% 12.54/12.76 cnf(matrix-2048, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u2926, _u2927, _u2928) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2926), _u2929)) | ( _u2929 = c_Orderings_Obot__class_Obot(tc_fun(_u2926, tc_HOL_Obool))) | ( hAPP(_u2928, hAPP(hAPP(c_Set_Oinsert(_u2926), _u2930), _u2929)) = hAPP(hAPP(_u2927, _u2930), hAPP(_u2928, _u2929))) )).
% 12.54/12.76 cnf(matrix-2049, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u2931, _u2932, _u2933) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2931), _u2934)) | ( _u2935 = c_Orderings_Obot__class_Obot(tc_fun(_u2931, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2931, tc_HOL_Obool)), _u2935), _u2934)) | ( hAPP(hAPP(_u2932, hAPP(_u2933, _u2935)), hAPP(_u2933, _u2934)) = hAPP(_u2933, _u2934)) )).
% 12.54/12.76 cnf(matrix-2050, plain, ( ~class_Lattices_Olattice(_u2938) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2938), _u2939)) | ( _u2939 = c_Orderings_Obot__class_Obot(tc_fun(_u2938, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2938), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2938), skolem68(_u2939, _u2938)), skolem69(_u2939, _u2938))), hAPP(hAPP(c_Set_Oinsert(_u2938), skolem68(_u2939, _u2938)), hAPP(hAPP(c_Set_Oinsert(_u2938), skolem69(_u2939, _u2938)), c_Orderings_Obot__class_Obot(tc_fun(_u2938, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u2938), c_Big__Operators_Olattice__class_OInf__fin(_u2938, _u2939)), _u2939)) )).
% 12.54/12.76 cnf(matrix-2051, plain, ( ~class_Lattices_Olattice(_u2942) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2942), _u2943)) | ( _u2943 = c_Orderings_Obot__class_Obot(tc_fun(_u2942, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2942), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2942), skolem70(_u2943, _u2942)), skolem71(_u2943, _u2942))), hAPP(hAPP(c_Set_Oinsert(_u2942), skolem70(_u2943, _u2942)), hAPP(hAPP(c_Set_Oinsert(_u2942), skolem71(_u2943, _u2942)), c_Orderings_Obot__class_Obot(tc_fun(_u2942, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u2942), c_Big__Operators_Olattice__class_OSup__fin(_u2942, _u2943)), _u2943)) )).
% 12.54/12.76 cnf(matrix-2052, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2945, tc_HOL_Obool)), _u2946)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2945), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2945, tc_HOL_Obool), _u2946))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2945, tc_HOL_Obool)), skolem72(_u2946, _u2945)), _u2946)) )).
% 12.54/12.76 cnf(matrix-2053, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2945, tc_HOL_Obool)), _u2946)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2945), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2945, tc_HOL_Obool), _u2946))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2945), skolem72(_u2946, _u2945))) )).
% 12.54/12.76 cnf(matrix-2054, plain, ( ~class_Lattices_Olattice(_u2949) | ( hAPP(_u2950, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2949), skolem73(_u2951, _u2950, _u2949)), skolem74(_u2951, _u2950, _u2949))) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2949), hAPP(_u2950, skolem73(_u2951, _u2950, _u2949))), hAPP(_u2950, skolem74(_u2951, _u2950, _u2949)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2949), _u2951)) | ( _u2951 = c_Orderings_Obot__class_Obot(tc_fun(_u2949, tc_HOL_Obool))) | ( hAPP(_u2950, c_Big__Operators_Olattice__class_OInf__fin(_u2949, _u2951)) = c_Big__Operators_Olattice__class_OInf__fin(_u2949, hAPP(c_Set_Oimage(_u2949, _u2949, _u2950), _u2951))) )).
% 12.54/12.76 cnf(matrix-2055, plain, ( ~class_Lattices_Olattice(_u2954) | ( hAPP(_u2955, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2954), skolem75(_u2956, _u2955, _u2954)), skolem76(_u2956, _u2955, _u2954))) != hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2954), hAPP(_u2955, skolem75(_u2956, _u2955, _u2954))), hAPP(_u2955, skolem76(_u2956, _u2955, _u2954)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2954), _u2956)) | ( _u2956 = c_Orderings_Obot__class_Obot(tc_fun(_u2954, tc_HOL_Obool))) | ( hAPP(_u2955, c_Big__Operators_Olattice__class_OSup__fin(_u2954, _u2956)) = c_Big__Operators_Olattice__class_OSup__fin(_u2954, hAPP(c_Set_Oimage(_u2954, _u2954, _u2955), _u2956))) )).
% 12.54/12.76 cnf(matrix-2056, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2959), _u2960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2959, tc_HOL_Obool)), _u2960), _u2961)) | ~hBOOL(hAPP(_u2962, c_Orderings_Obot__class_Obot(tc_fun(_u2959, tc_HOL_Obool)))) | hBOOL(hAPP(_u2962, _u2960)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2959), skolem78(_u2962, _u2961, _u2960, _u2959))) )).
% 12.54/12.76 cnf(matrix-2057, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2959), _u2960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2959, tc_HOL_Obool)), _u2960), _u2961)) | ~hBOOL(hAPP(_u2962, c_Orderings_Obot__class_Obot(tc_fun(_u2959, tc_HOL_Obool)))) | hBOOL(hAPP(_u2962, _u2960)) | hBOOL(hAPP(hAPP(c_member(_u2959), skolem77(_u2962, _u2961, _u2960, _u2959)), _u2961)) )).
% 12.54/12.76 cnf(matrix-2058, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2959), _u2960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2959, tc_HOL_Obool)), _u2960), _u2961)) | ~hBOOL(hAPP(_u2962, c_Orderings_Obot__class_Obot(tc_fun(_u2959, tc_HOL_Obool)))) | hBOOL(hAPP(_u2962, _u2960)) | ~hBOOL(hAPP(hAPP(c_member(_u2959), skolem77(_u2962, _u2961, _u2960, _u2959)), skolem78(_u2962, _u2961, _u2960, _u2959))) )).
% 12.54/12.76 cnf(matrix-2059, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2959), _u2960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2959, tc_HOL_Obool)), _u2960), _u2961)) | ~hBOOL(hAPP(_u2962, c_Orderings_Obot__class_Obot(tc_fun(_u2959, tc_HOL_Obool)))) | hBOOL(hAPP(_u2962, _u2960)) | hBOOL(hAPP(_u2962, skolem78(_u2962, _u2961, _u2960, _u2959))) )).
% 12.54/12.76 cnf(matrix-2060, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2959), _u2960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2959, tc_HOL_Obool)), _u2960), _u2961)) | ~hBOOL(hAPP(_u2962, c_Orderings_Obot__class_Obot(tc_fun(_u2959, tc_HOL_Obool)))) | hBOOL(hAPP(_u2962, _u2960)) | ~hBOOL(hAPP(_u2962, hAPP(hAPP(c_Set_Oinsert(_u2959), skolem77(_u2962, _u2961, _u2960, _u2959)), skolem78(_u2962, _u2961, _u2960, _u2959)))) )).
% 12.54/12.76 cnf(matrix-2061, plain, ( ~c_Finite__Set_Ofun__left__comm(_u2963, _u2964, _u2965) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2963), _u2966)) | ~hBOOL(hAPP(hAPP(c_member(_u2963), _u2967), _u2966)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u2963, _u2964, _u2965), _u2968), _u2966) = hAPP(hAPP(_u2965, _u2967), hAPP(hAPP(c_Finite__Set_Ofold(_u2963, _u2964, _u2965), _u2968), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2963, tc_HOL_Obool)), _u2966), hAPP(hAPP(c_Set_Oinsert(_u2963), _u2967), c_Orderings_Obot__class_Obot(tc_fun(_u2963, tc_HOL_Obool))))))) )).
% 12.54/12.76 cnf(matrix-2062, plain, ( ~class_Groups_Oab__semigroup__mult(_u2969) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2969), _u2970)) | ( _u2970 = c_Orderings_Obot__class_Obot(tc_fun(_u2969, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2969), _u2971)) | ( _u2971 = c_Orderings_Obot__class_Obot(tc_fun(_u2969, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2969, tc_HOL_Obool)), _u2970), _u2971) != c_Orderings_Obot__class_Obot(tc_fun(_u2969, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u2969, c_Groups_Otimes__class_Otimes(_u2969)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2969, tc_HOL_Obool)), _u2970), _u2971)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2969), hAPP(c_Finite__Set_Ofold1(_u2969, c_Groups_Otimes__class_Otimes(_u2969)), _u2970)), hAPP(c_Finite__Set_Ofold1(_u2969, c_Groups_Otimes__class_Otimes(_u2969)), _u2971))) )).
% 12.54/12.76 cnf(matrix-2063, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u2974, _u2975, _u2976) | ( hAPP(_u2977, hAPP(hAPP(_u2975, skolem79(_u2978, _u2977, _u2976, _u2975, _u2974)), skolem80(_u2978, _u2977, _u2976, _u2975, _u2974))) != hAPP(hAPP(_u2975, hAPP(_u2977, skolem79(_u2978, _u2977, _u2976, _u2975, _u2974))), hAPP(_u2977, skolem80(_u2978, _u2977, _u2976, _u2975, _u2974)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2974), _u2978)) | ( _u2978 = c_Orderings_Obot__class_Obot(tc_fun(_u2974, tc_HOL_Obool))) | ( hAPP(_u2977, hAPP(_u2976, _u2978)) = hAPP(_u2976, hAPP(c_Set_Oimage(_u2974, _u2974, _u2977), _u2978))) )).
% 12.54/12.76 cnf(matrix-2064, plain, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u2979, _u2980, _u2981), _u2982), c_Orderings_Obot__class_Obot(tc_fun(_u2979, tc_HOL_Obool))) = _u2982) )).
% 12.54/12.76 cnf(matrix-2065, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u2983) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2983), _u2984)) | ( hAPP(c_Finite__Set_Ofold1(_u2983, c_Groups_Otimes__class_Otimes(_u2983)), hAPP(hAPP(c_Set_Oinsert(_u2983), _u2985), _u2984)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2983, _u2983, c_Groups_Otimes__class_Otimes(_u2983)), _u2985), _u2984)) )).
% 12.54/12.76 cnf(matrix-2066, plain, ( ~class_Groups_Oab__semigroup__mult(_u2986) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2986), _u2987)) | hBOOL(hAPP(hAPP(c_member(_u2986), _u2988), _u2987)) | ( hAPP(c_Finite__Set_Ofold1(_u2986, c_Groups_Otimes__class_Otimes(_u2986)), hAPP(hAPP(c_Set_Oinsert(_u2986), _u2988), _u2987)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2986, _u2986, c_Groups_Otimes__class_Otimes(_u2986)), _u2988), _u2987)) )).
% 12.54/12.76 cnf(matrix-2067, plain, ( ~c_Finite__Set_Ofun__left__comm(_u2989, _u2990, _u2991) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2989), _u2992)) | ( hAPP(hAPP(_u2991, _u2993), hAPP(hAPP(c_Finite__Set_Ofold(_u2989, _u2990, _u2991), _u2994), _u2992)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2989, _u2990, _u2991), hAPP(hAPP(_u2991, _u2993), _u2994)), _u2992)) )).
% 12.54/12.76 cnf(matrix-2068, plain, ( ( _u2995 != c_Finite__Set_Ofold1(_u2996, _u2997)) | ( hAPP(_u2995, hAPP(hAPP(c_Set_Oinsert(_u2996), _u2998), c_Orderings_Obot__class_Obot(tc_fun(_u2996, tc_HOL_Obool)))) = _u2998) )).
% 12.54/12.76 cnf(matrix-2069, plain, ( ( hAPP(c_Finite__Set_Ofold1(_u2999, _u3000), hAPP(hAPP(c_Set_Oinsert(_u2999), _u3001), c_Orderings_Obot__class_Obot(tc_fun(_u2999, tc_HOL_Obool)))) = _u3001) )).
% 12.54/12.76 cnf(matrix-2070, plain, ( ~c_Finite__Set_Ofun__left__comm(_u3002, _u3003, _u3004) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u3002, _u3003, _u3004, _u3005, _u3006), _u3007)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u3002, _u3003, _u3004), _u3005), _u3006) = _u3007) )).
% 12.54/12.76 cnf(matrix-2071, plain, ( ~c_Finite__Set_Ofolding__one(_u3008, _u3009, _u3010) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3008), _u3011)) | ( hAPP(_u3010, _u3011) = hAPP(c_Finite__Set_Ofold1(_u3008, _u3009), _u3011)) )).
% 12.54/12.76 cnf(matrix-2072, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3012), _u3013)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3012, tc_HOL_Obool)), _u3013), _u3014) = hAPP(hAPP(c_Finite__Set_Ofold(_u3012, tc_fun(_u3012, tc_HOL_Obool), c_Set_Oinsert(_u3012)), _u3014), _u3013)) )).
% 12.54/12.76 cnf(matrix-2073, plain, ( ~class_Lattices_Osemilattice__sup(_u3015) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3015), _u3016)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u3015, _u3015, c_Lattices_Osemilattice__sup__class_Osup(_u3015)), _u3017), hAPP(hAPP(c_Set_Oinsert(_u3015), _u3018), _u3016)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3015), _u3018), hAPP(hAPP(c_Finite__Set_Ofold(_u3015, _u3015, c_Lattices_Osemilattice__sup__class_Osup(_u3015)), _u3017), _u3016))) )).
% 12.54/12.76 cnf(matrix-2074, plain, ( ~class_Lattices_Osemilattice__inf(_u3019) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3019), _u3020)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u3019, _u3019, c_Lattices_Osemilattice__inf__class_Oinf(_u3019)), _u3021), hAPP(hAPP(c_Set_Oinsert(_u3019), _u3022), _u3020)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3019), _u3022), hAPP(hAPP(c_Finite__Set_Ofold(_u3019, _u3019, c_Lattices_Osemilattice__inf__class_Oinf(_u3019)), _u3021), _u3020))) )).
% 12.54/12.76 cnf(matrix-2075, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3023) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3023), _u3024)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3023), _u3025), c_Complete__Lattice_OSup__class_OSup(_u3023, _u3024)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3023, _u3023, c_Lattices_Osemilattice__sup__class_Osup(_u3023)), _u3025), _u3024)) )).
% 12.54/12.76 cnf(matrix-2076, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3026) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3026), _u3027)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3026), _u3028), c_Complete__Lattice_OInf__class_OInf(_u3026, _u3027)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3026, _u3026, c_Lattices_Osemilattice__inf__class_Oinf(_u3026)), _u3028), _u3027)) )).
% 12.54/12.76 cnf(matrix-2077, plain, ( ~c_Finite__Set_Ofun__left__comm(_u3029, _u3030, _u3031) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3029), _u3032)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u3029, _u3030, _u3031, _u3033, _u3032), hAPP(hAPP(c_Finite__Set_Ofold(_u3029, _u3030, _u3031), _u3033), _u3032))) )).
% 12.54/12.76 cnf(matrix-2078, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u3034, _u3035, _u3036) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3034), _u3037)) | ( hAPP(_u3036, hAPP(hAPP(c_Set_Oinsert(_u3034), _u3038), _u3037)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3034, _u3034, _u3035), _u3038), _u3037)) )).
% 12.54/12.76 cnf(matrix-2079, plain, ( ~class_Lattices_Olattice(_u3039) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3039), _u3040)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3039, _u3040) = hAPP(c_Finite__Set_Ofold1(_u3039, c_Lattices_Osemilattice__sup__class_Osup(_u3039)), _u3040)) )).
% 12.54/12.76 cnf(matrix-2080, plain, ( ~class_Lattices_Olattice(_u3041) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3041), _u3042)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u3041, _u3042) = hAPP(c_Finite__Set_Ofold1(_u3041, c_Lattices_Osemilattice__inf__class_Oinf(_u3041)), _u3042)) )).
% 12.54/12.76 cnf(matrix-2081, plain, ( ~class_Lattices_Osemilattice__sup(_u3043) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3043), _u3044)) | ~hBOOL(hAPP(hAPP(c_member(_u3043), _u3045), _u3044)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3043), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3043), _u3045), _u3046)), hAPP(hAPP(c_Finite__Set_Ofold(_u3043, _u3043, c_Lattices_Osemilattice__sup__class_Osup(_u3043)), _u3046), _u3044))) )).
% 12.54/12.76 cnf(matrix-2082, plain, ( ~class_Lattices_Osemilattice__inf(_u3047) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3047), _u3048)) | ~hBOOL(hAPP(hAPP(c_member(_u3047), _u3049), _u3048)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3047), hAPP(hAPP(c_Finite__Set_Ofold(_u3047, _u3047, c_Lattices_Osemilattice__inf__class_Oinf(_u3047)), _u3050), _u3048)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3047), _u3049), _u3050))) )).
% 12.54/12.76 cnf(matrix-2083, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3051) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3051), _u3052)) | ( c_Complete__Lattice_OSup__class_OSup(_u3051, _u3052) = hAPP(hAPP(c_Finite__Set_Ofold(_u3051, _u3051, c_Lattices_Osemilattice__sup__class_Osup(_u3051)), c_Orderings_Obot__class_Obot(_u3051)), _u3052)) )).
% 12.54/12.76 cnf(matrix-2084, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3053) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3053), _u3054)) | ( c_Complete__Lattice_OInf__class_OInf(_u3053, _u3054) = hAPP(hAPP(c_Finite__Set_Ofold(_u3053, _u3053, c_Lattices_Osemilattice__inf__class_Oinf(_u3053)), c_Orderings_Otop__class_Otop(_u3053)), _u3054)) )).
% 12.54/12.76 cnf(matrix-2085, plain, ( ~class_Lattices_Olattice(_u3055) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3055), _u3056)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3055, hAPP(hAPP(c_Set_Oinsert(_u3055), _u3057), _u3056)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3055, _u3055, c_Lattices_Osemilattice__sup__class_Osup(_u3055)), _u3057), _u3056)) )).
% 12.54/12.76 cnf(matrix-2086, plain, ( ~class_Lattices_Olattice(_u3058) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3058), _u3059)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u3058, hAPP(hAPP(c_Set_Oinsert(_u3058), _u3060), _u3059)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3058, _u3058, c_Lattices_Osemilattice__inf__class_Oinf(_u3058)), _u3060), _u3059)) )).
% 12.54/12.76 cnf(matrix-2087, plain, ( ~c_Finite__Set_Ofun__left__comm(_u3061, _u3062, _u3063) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3061), _u3064)) | hBOOL(hAPP(hAPP(c_member(_u3061), _u3065), _u3064)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u3061, _u3062, _u3063), _u3066), hAPP(hAPP(c_Set_Oinsert(_u3061), _u3065), _u3064)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3061, _u3062, _u3063), hAPP(hAPP(_u3063, _u3065), _u3066)), _u3064)) )).
% 12.54/12.76 cnf(matrix-2088, plain, ( ~c_Finite__Set_Ofun__left__comm(_u3067, _u3068, _u3069) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3067), _u3070)) | hBOOL(hAPP(hAPP(c_member(_u3067), _u3071), _u3070)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u3067, _u3068, _u3069), _u3072), hAPP(hAPP(c_Set_Oinsert(_u3067), _u3071), _u3070)) = hAPP(hAPP(_u3069, _u3071), hAPP(hAPP(c_Finite__Set_Ofold(_u3067, _u3068, _u3069), _u3072), _u3070))) )).
% 12.54/12.76 cnf(matrix-2089, plain, ( ~c_Finite__Set_Ofolding__one(_u3073, _u3074, _u3075) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3073), _u3076)) | hBOOL(hAPP(hAPP(c_member(_u3073), _u3077), _u3076)) | ( hAPP(_u3075, hAPP(hAPP(c_Set_Oinsert(_u3073), _u3077), _u3076)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3073, _u3073, _u3074), _u3077), _u3076)) )).
% 12.54/12.76 cnf(matrix-2090, plain, ( ~class_Lattices_Osemilattice__inf(_u3078) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3078), _u3079)) | ~hBOOL(hAPP(hAPP(c_member(_u3078), _u3080), _u3079)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3078), hAPP(c_Finite__Set_Ofold1(_u3078, c_Lattices_Osemilattice__inf__class_Oinf(_u3078)), _u3079)), _u3080)) )).
% 12.54/12.76 cnf(matrix-2091, plain, ( ~class_Lattices_Osemilattice__inf(_u3083) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3083), _u3084)) | ( _u3084 = c_Orderings_Obot__class_Obot(tc_fun(_u3083, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3083), _u3085), hAPP(c_Finite__Set_Ofold1(_u3083, c_Lattices_Osemilattice__inf__class_Oinf(_u3083)), _u3084))) | ~hBOOL(hAPP(hAPP(c_member(_u3083), _u3081), _u3084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3083), _u3085), _u3081)) )).
% 12.54/12.76 cnf(matrix-2092, plain, ( ~class_Lattices_Osemilattice__inf(_u3083) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3083), _u3084)) | ( _u3084 = c_Orderings_Obot__class_Obot(tc_fun(_u3083, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3083), _u3085), hAPP(c_Finite__Set_Ofold1(_u3083, c_Lattices_Osemilattice__inf__class_Oinf(_u3083)), _u3084))) | hBOOL(hAPP(hAPP(c_member(_u3083), skolem81(_u3085, _u3084, _u3083)), _u3084)) )).
% 12.54/12.76 cnf(matrix-2093, plain, ( ~class_Lattices_Osemilattice__inf(_u3083) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3083), _u3084)) | ( _u3084 = c_Orderings_Obot__class_Obot(tc_fun(_u3083, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3083), _u3085), hAPP(c_Finite__Set_Ofold1(_u3083, c_Lattices_Osemilattice__inf__class_Oinf(_u3083)), _u3084))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3083), _u3085), skolem81(_u3085, _u3084, _u3083))) )).
% 12.54/12.76 cnf(matrix-2094, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3086) | ( _u3087 = c_Orderings_Obot__class_Obot(tc_fun(_u3086, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3086), _u3087)) | ( hAPP(c_Finite__Set_Ofold1(_u3086, c_Groups_Otimes__class_Otimes(_u3086)), hAPP(hAPP(c_Set_Oinsert(_u3086), _u3088), _u3087)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3086), _u3088), hAPP(c_Finite__Set_Ofold1(_u3086, c_Groups_Otimes__class_Otimes(_u3086)), _u3087))) )).
% 12.54/12.77 cnf(matrix-2095, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3089) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3089), _u3090)) | ( _u3090 = c_Orderings_Obot__class_Obot(tc_fun(_u3089, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3089), _u3091)) | ( _u3091 = c_Orderings_Obot__class_Obot(tc_fun(_u3089, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u3089, c_Groups_Otimes__class_Otimes(_u3089)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3089, tc_HOL_Obool)), _u3090), _u3091)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3089), hAPP(c_Finite__Set_Ofold1(_u3089, c_Groups_Otimes__class_Otimes(_u3089)), _u3090)), hAPP(c_Finite__Set_Ofold1(_u3089, c_Groups_Otimes__class_Otimes(_u3089)), _u3091))) )).
% 12.54/12.77 cnf(matrix-2096, plain, ( ~class_Lattices_Olattice(_u3092) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3092), _u3093)) | hBOOL(hAPP(hAPP(c_member(_u3092), _u3094), _u3093)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3092, hAPP(hAPP(c_Set_Oinsert(_u3092), _u3094), _u3093)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3092, _u3092, c_Lattices_Osemilattice__sup__class_Osup(_u3092)), _u3094), _u3093)) )).
% 12.54/12.77 cnf(matrix-2097, plain, ( ~class_Lattices_Olattice(_u3095) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3095), _u3096)) | hBOOL(hAPP(hAPP(c_member(_u3095), _u3097), _u3096)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u3095, hAPP(hAPP(c_Set_Oinsert(_u3095), _u3097), _u3096)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3095, _u3095, c_Lattices_Osemilattice__inf__class_Oinf(_u3095)), _u3097), _u3096)) )).
% 12.54/12.77 cnf(matrix-2098, plain, ( ~c_Finite__Set_Ofun__left__comm(_u3098, _u3099, _u3100) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3098), _u3101)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u3098, _u3099, _u3100), _u3102), hAPP(hAPP(c_Set_Oinsert(_u3098), _u3103), _u3101)) = hAPP(hAPP(_u3100, _u3103), hAPP(hAPP(c_Finite__Set_Ofold(_u3098, _u3099, _u3100), _u3102), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3098, tc_HOL_Obool)), _u3101), hAPP(hAPP(c_Set_Oinsert(_u3098), _u3103), c_Orderings_Obot__class_Obot(tc_fun(_u3098, tc_HOL_Obool))))))) )).
% 12.54/12.77 cnf(matrix-2099, plain, ( ~class_Groups_Oab__semigroup__mult(_u3104) | ( _u3105 = c_Orderings_Obot__class_Obot(tc_fun(_u3104, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3104), _u3105)) | hBOOL(hAPP(hAPP(c_member(_u3104), _u3106), _u3105)) | ( hAPP(c_Finite__Set_Ofold1(_u3104, c_Groups_Otimes__class_Otimes(_u3104)), hAPP(hAPP(c_Set_Oinsert(_u3104), _u3106), _u3105)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3104), _u3106), hAPP(c_Finite__Set_Ofold1(_u3104, c_Groups_Otimes__class_Otimes(_u3104)), _u3105))) )).
% 12.54/12.77 cnf(matrix-2100, plain, ( ~c_Big__Operators_Osemilattice__big(_u3107, _u3108, _u3109) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3107), _u3110)) | ( hAPP(_u3109, _u3110) = hAPP(c_Finite__Set_Ofold1(_u3107, _u3108), _u3110)) )).
% 12.54/12.77 cnf(matrix-2101, plain, ( ~class_Groups_Oab__semigroup__mult(_u3113) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3113), _u3114)) | ( _u3114 = c_Orderings_Obot__class_Obot(tc_fun(_u3113, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u3113), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3113), skolem82(_u3114, _u3113)), skolem83(_u3114, _u3113))), hAPP(hAPP(c_Set_Oinsert(_u3113), skolem82(_u3114, _u3113)), hAPP(hAPP(c_Set_Oinsert(_u3113), skolem83(_u3114, _u3113)), c_Orderings_Obot__class_Obot(tc_fun(_u3113, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u3113), hAPP(c_Finite__Set_Ofold1(_u3113, c_Groups_Otimes__class_Otimes(_u3113)), _u3114)), _u3114)) )).
% 12.54/12.77 cnf(matrix-2102, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3117) | ( hAPP(_u3118, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3117), skolem84(_u3119, _u3118, _u3117)), skolem85(_u3119, _u3118, _u3117))) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3117), hAPP(_u3118, skolem84(_u3119, _u3118, _u3117))), hAPP(_u3118, skolem85(_u3119, _u3118, _u3117)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3117), _u3119)) | ( _u3119 = c_Orderings_Obot__class_Obot(tc_fun(_u3117, tc_HOL_Obool))) | ( hAPP(_u3118, hAPP(c_Finite__Set_Ofold1(_u3117, c_Groups_Otimes__class_Otimes(_u3117)), _u3119)) = hAPP(c_Finite__Set_Ofold1(_u3117, c_Groups_Otimes__class_Otimes(_u3117)), hAPP(c_Set_Oimage(_u3117, _u3117, _u3118), _u3119))) )).
% 12.54/12.77 cnf(matrix-2103, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u3121, _u3122, _u3123, _u3124, _u3125, _u3126) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3122), _u3127)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3122), _u3128)) | ( hAPP(_u3126, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3122, tc_HOL_Obool)), _u3127), _u3128)) = hAPP(hAPP(_u3123, hAPP(_u3126, _u3127)), hAPP(_u3126, _u3128))) | hBOOL(hAPP(hAPP(c_member(_u3122), skolem86(_u3128, _u3127, _u3126, _u3125, _u3124, _u3123, _u3122)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3122, tc_HOL_Obool)), _u3127), _u3128))) )).
% 12.54/12.77 cnf(matrix-2104, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u3121, _u3122, _u3123, _u3124, _u3125, _u3126) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3122), _u3127)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3122), _u3128)) | ( hAPP(_u3126, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3122, tc_HOL_Obool)), _u3127), _u3128)) = hAPP(hAPP(_u3123, hAPP(_u3126, _u3127)), hAPP(_u3126, _u3128))) | ( hAPP(_u3125, skolem86(_u3128, _u3127, _u3126, _u3125, _u3124, _u3123, _u3122)) != _u3124) )).
% 12.54/12.77 cnf(matrix-2105, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u3129, _u3130, _u3131) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3129), _u3132)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u3129, _u3130, _u3131), _u3133), hAPP(hAPP(c_Set_Oinsert(_u3129), _u3134), _u3132)) = hAPP(hAPP(_u3131, _u3134), hAPP(hAPP(c_Finite__Set_Ofold(_u3129, _u3130, _u3131), _u3133), _u3132))) )).
% 12.54/12.77 cnf(matrix-2106, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u3135, _u3136, _u3137) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3135), _u3138)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u3135, _u3136, _u3137), _u3139), hAPP(hAPP(c_Set_Oinsert(_u3135), _u3140), _u3138)) = hAPP(hAPP(c_Finite__Set_Ofold(_u3135, _u3136, _u3137), hAPP(hAPP(_u3137, _u3140), _u3139)), _u3138)) )).
% 12.54/12.77 cnf(matrix-2107, plain, ( ~class_Rings_Oring(_u3141) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3142), _u3143)) | ~hBOOL(hAPP(hAPP(c_member(_u3142), _u3144), _u3143)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3142, _u3141), _u3145), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3142, tc_HOL_Obool)), _u3143), hAPP(hAPP(c_Set_Oinsert(_u3142), _u3144), c_Orderings_Obot__class_Obot(tc_fun(_u3142, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3141), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3142, _u3141), _u3145), _u3143)), hAPP(_u3145, _u3144))) )).
% 12.54/12.77 cnf(matrix-2108, plain, ( ~class_Groups_Oab__group__add(_u3146) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3147), _u3148)) | ~hBOOL(hAPP(hAPP(c_member(_u3147), _u3149), _u3148)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3147, _u3146), _u3150), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3147, tc_HOL_Obool)), _u3148), hAPP(hAPP(c_Set_Oinsert(_u3147), _u3149), c_Orderings_Obot__class_Obot(tc_fun(_u3147, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3146), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3147, _u3146), _u3150), _u3148)), hAPP(_u3150, _u3149))) )).
% 12.54/12.77 cnf(matrix-2109, plain, ( ~class_Groups_Oab__group__add(_u3146) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3147), _u3148)) | hBOOL(hAPP(hAPP(c_member(_u3147), _u3149), _u3148)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3147, _u3146), _u3150), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3147, tc_HOL_Obool)), _u3148), hAPP(hAPP(c_Set_Oinsert(_u3147), _u3149), c_Orderings_Obot__class_Obot(tc_fun(_u3147, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3147, _u3146), _u3150), _u3148)) )).
% 12.54/12.77 cnf(matrix-2110, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3151) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3152), _u3153)) | ~hBOOL(hAPP(hAPP(c_member(_u3152), _u3154), _u3153)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3152, _u3151), _u3155), _u3153) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3151), hAPP(_u3155, _u3154)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3152, _u3151), _u3155), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3152, tc_HOL_Obool)), _u3153), hAPP(hAPP(c_Set_Oinsert(_u3152), _u3154), c_Orderings_Obot__class_Obot(tc_fun(_u3152, tc_HOL_Obool))))))) )).
% 12.54/12.77 cnf(matrix-2111, plain, ( ( hAPP(hAPP(_u3158, _u3159), hAPP(hAPP(_u3158, _u3159), _u3160)) = hAPP(hAPP(_u3158, _u3159), _u3160)) | ~c_Finite__Set_Ofun__left__comm__idem(_u3156, _u3157, _u3158) )).
% 12.54/12.77 cnf(matrix-2112, plain, ( ~class_Groups_Oab__group__add(_u3161) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3162), _u3163)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3163), _u3164)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3161), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u3161), _u3165), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u3162), _u3164))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u3161), _u3165), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u3162), _u3163))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u3161), _u3165), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u3163), _u3164))) )).
% 12.54/12.77 cnf(matrix-2113, plain, ( c_Finite__Set_Ofun__left__comm__idem(_u3166, tc_fun(_u3166, tc_HOL_Obool), c_Set_Oinsert(_u3166)) )).
% 12.54/12.77 cnf(matrix-2114, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u3167) | c_Finite__Set_Ofun__left__comm__idem(_u3167, _u3167, c_Groups_Otimes__class_Otimes(_u3167)) )).
% 12.54/12.77 cnf(matrix-2115, plain, ( ~class_Lattices_Osemilattice__sup(_u3168) | c_Finite__Set_Ofun__left__comm__idem(_u3168, _u3168, c_Lattices_Osemilattice__sup__class_Osup(_u3168)) )).
% 12.54/12.77 cnf(matrix-2116, plain, ( ~class_Lattices_Osemilattice__inf(_u3169) | c_Finite__Set_Ofun__left__comm__idem(_u3169, _u3169, c_Lattices_Osemilattice__inf__class_Oinf(_u3169)) )).
% 12.54/12.77 cnf(matrix-2117, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3170), _u3171)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3170, tc_HOL_Obool)), _u3171), _u3172)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3170, tc_Nat_Onat), _u3173), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3170, tc_HOL_Obool)), _u3172), _u3171)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3170, tc_Nat_Onat), _u3173), _u3172)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3170, tc_Nat_Onat), _u3173), _u3171))) )).
% 12.54/12.77 cnf(matrix-2118, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3174) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3175), _u3176)) | hBOOL(hAPP(hAPP(c_member(_u3175), _u3177), _u3176)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3175, _u3174), _u3178), hAPP(hAPP(c_Set_Oinsert(_u3175), _u3177), _u3176)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3174), hAPP(_u3178, _u3177)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3175, _u3174), _u3178), _u3176))) )).
% 12.54/12.77 cnf(matrix-2119, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3179) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3180), _u3181)) | hBOOL(hAPP(hAPP(c_member(_u3180), _u3182), _u3181)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3180, _u3179), _u3183), hAPP(hAPP(c_Set_Oinsert(_u3180), _u3182), _u3181)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3179), hAPP(_u3183, _u3182)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3180, _u3179), _u3183), _u3181))) )).
% 12.54/12.77 cnf(matrix-2120, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3184) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3185), _u3186)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3185), _u3187)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3184), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3185, _u3184), _u3188), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3185, tc_HOL_Obool)), _u3186), _u3187))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3185, _u3184), _u3188), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3185, tc_HOL_Obool)), _u3186), _u3187))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3184), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3185, _u3184), _u3188), _u3186)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3185, _u3184), _u3188), _u3187))) )).
% 12.54/12.77 cnf(matrix-2121, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3189) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3190), _u3191)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3190), _u3192)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3189), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3190, _u3189), _u3193), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3190, tc_HOL_Obool)), _u3191), _u3192))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3190, _u3189), _u3193), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3190, tc_HOL_Obool)), _u3191), _u3192))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3189), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3190, _u3189), _u3193), _u3191)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3190, _u3189), _u3193), _u3192))) )).
% 12.54/12.77 cnf(matrix-2122, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3198), _u3200), _u3202)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3198, tc_Nat_Onat), _u3204), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3198, tc_HOL_Obool)), _u3202), hAPP(hAPP(c_Set_Oinsert(_u3198), _u3200), c_Orderings_Obot__class_Obot(tc_fun(_u3198, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3198, tc_Nat_Onat), _u3204), _u3202)), hAPP(_u3204, _u3200))) )).
% 12.54/12.77 cnf(matrix-2123, plain, ( hBOOL(hAPP(hAPP(c_member(_u3199), _u3201), _u3203)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3199, tc_Nat_Onat), _u3205), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3199, tc_HOL_Obool)), _u3203), hAPP(hAPP(c_Set_Oinsert(_u3199), _u3201), c_Orderings_Obot__class_Obot(tc_fun(_u3199, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3199, tc_Nat_Onat), _u3205), _u3203)) )).
% 12.54/12.77 cnf(matrix-2124, plain, ( ~class_Groups_Oab__group__add(_u3206) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3207), _u3208)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3207, tc_HOL_Obool)), _u3209), _u3208)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3207, _u3206), _u3210), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3207, tc_HOL_Obool)), _u3208), _u3209)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3206), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3207, _u3206), _u3210), _u3208)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3207, _u3206), _u3210), _u3209))) )).
% 12.54/12.77 cnf(matrix-2125, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3211) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3212), _u3213)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3212, _u3211), _u3214), hAPP(hAPP(c_Set_Oinsert(_u3212), _u3215), _u3213)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3211), hAPP(_u3214, _u3215)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3212, _u3211), _u3214), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3212, tc_HOL_Obool)), _u3213), hAPP(hAPP(c_Set_Oinsert(_u3212), _u3215), c_Orderings_Obot__class_Obot(tc_fun(_u3212, tc_HOL_Obool))))))) )).
% 12.54/12.77 cnf(matrix-2126, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3216) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3217), _u3218)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3217), _u3219)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3217, tc_HOL_Obool)), _u3218), _u3219) != c_Orderings_Obot__class_Obot(tc_fun(_u3217, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3217, _u3216), _u3220), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3217, tc_HOL_Obool)), _u3218), _u3219)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3216), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3217, _u3216), _u3220), _u3218)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3217, _u3216), _u3220), _u3219))) )).
% 12.54/12.77 cnf(matrix-2127, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3221) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3222), _u3223)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3222), _u3224)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3222, tc_HOL_Obool)), _u3223), _u3224) != c_Orderings_Obot__class_Obot(tc_fun(_u3222, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3222, _u3221), _u3225), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3222, tc_HOL_Obool)), _u3223), _u3224)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3221), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3222, _u3221), _u3225), _u3223)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3222, _u3221), _u3225), _u3224))) )).
% 12.54/12.77 cnf(matrix-2128, plain, ( ~class_Groups_Ocomm__monoid__add(_u3227) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u3227) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3228), _u3229)) | ( _u3229 = c_Orderings_Obot__class_Obot(tc_fun(_u3228, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3227), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3228, _u3227), _u3230), _u3229)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3228, _u3227), _u3231), _u3229))) | hBOOL(hAPP(hAPP(c_member(_u3228), skolem87(_u3231, _u3230, _u3229, _u3228, _u3227)), _u3229)) )).
% 12.54/12.77 cnf(matrix-2129, plain, ( ~class_Groups_Ocomm__monoid__add(_u3227) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u3227) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3228), _u3229)) | ( _u3229 = c_Orderings_Obot__class_Obot(tc_fun(_u3228, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3227), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3228, _u3227), _u3230), _u3229)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3228, _u3227), _u3231), _u3229))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3227), hAPP(_u3230, skolem87(_u3231, _u3230, _u3229, _u3228, _u3227))), hAPP(_u3231, skolem87(_u3231, _u3230, _u3229, _u3228, _u3227)))) )).
% 12.54/12.77 cnf(matrix-2130, plain, ( ~class_Groups_Ocomm__monoid__add(_u3232) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3233), _u3234)) | ~hBOOL(hAPP(hAPP(c_member(_u3233), _u3235), _u3234)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3233, _u3232), _u3236), _u3234) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3232), hAPP(_u3236, _u3235)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3233, _u3232), _u3236), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3233, tc_HOL_Obool)), _u3234), hAPP(hAPP(c_Set_Oinsert(_u3233), _u3235), c_Orderings_Obot__class_Obot(tc_fun(_u3233, tc_HOL_Obool))))))) )).
% 12.54/12.77 cnf(matrix-2131, plain, ( ~class_Groups_Ocomm__monoid__add(_u3237) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3238), _u3239)) | ~hBOOL(hAPP(hAPP(c_member(_u3238), _u3240), _u3239)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3238, _u3237), _u3241), _u3239) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3237), hAPP(_u3241, _u3240)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3238, _u3237), _u3241), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3238, tc_HOL_Obool)), _u3239), hAPP(hAPP(c_Set_Oinsert(_u3238), _u3240), c_Orderings_Obot__class_Obot(tc_fun(_u3238, tc_HOL_Obool))))))) )).
% 12.54/12.77 cnf(matrix-2132, plain, ( ~class_Lattices_Osemilattice__inf(_u3243) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3243), _u3244)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3243), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3243), _u3245), _u3246)), hAPP(hAPP(c_Finite__Set_Ofold(_u3243, _u3243, c_Lattices_Osemilattice__inf__class_Oinf(_u3243)), _u3246), _u3244))) | hBOOL(hAPP(hAPP(c_member(_u3243), skolem88(_u3246, _u3245, _u3244, _u3243)), _u3244)) )).
% 12.54/12.77 cnf(matrix-2133, plain, ( ~class_Lattices_Osemilattice__inf(_u3243) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3243), _u3244)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3243), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3243), _u3245), _u3246)), hAPP(hAPP(c_Finite__Set_Ofold(_u3243, _u3243, c_Lattices_Osemilattice__inf__class_Oinf(_u3243)), _u3246), _u3244))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3243), _u3245), skolem88(_u3246, _u3245, _u3244, _u3243))) )).
% 12.54/12.77 cnf(matrix-2134, plain, ( ~class_Lattices_Osemilattice__sup(_u3248) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3248), _u3249)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3248), hAPP(hAPP(c_Finite__Set_Ofold(_u3248, _u3248, c_Lattices_Osemilattice__sup__class_Osup(_u3248)), _u3251), _u3249)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3248), _u3250), _u3251))) | hBOOL(hAPP(hAPP(c_member(_u3248), skolem89(_u3251, _u3250, _u3249, _u3248)), _u3249)) )).
% 12.54/12.77 cnf(matrix-2135, plain, ( ~class_Lattices_Osemilattice__sup(_u3248) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3248), _u3249)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3248), hAPP(hAPP(c_Finite__Set_Ofold(_u3248, _u3248, c_Lattices_Osemilattice__sup__class_Osup(_u3248)), _u3251), _u3249)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3248), _u3250), _u3251))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3248), skolem89(_u3251, _u3250, _u3249, _u3248)), _u3250)) )).
% 12.54/12.77 cnf(matrix-2136, plain, ( ~class_Groups_Ocomm__monoid__add(_u3253) | ~class_Orderings_Oord(_u3254) | ( _u3255 != _u3256) | ( _u3257 != _u3258) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3254, _u3253), _u3259), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3254, _u3255), _u3257)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3254, _u3253), _u3260), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3254, _u3256), _u3258))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3254), _u3256), skolem90(_u3260, _u3259, _u3258, _u3257, _u3256, _u3255, _u3254, _u3253))) )).
% 12.54/12.77 cnf(matrix-2137, plain, ( ~class_Groups_Ocomm__monoid__add(_u3253) | ~class_Orderings_Oord(_u3254) | ( _u3255 != _u3256) | ( _u3257 != _u3258) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3254, _u3253), _u3259), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3254, _u3255), _u3257)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3254, _u3253), _u3260), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3254, _u3256), _u3258))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3254), skolem90(_u3260, _u3259, _u3258, _u3257, _u3256, _u3255, _u3254, _u3253)), _u3258)) )).
% 12.54/12.77 cnf(matrix-2138, plain, ( ~class_Groups_Ocomm__monoid__add(_u3253) | ~class_Orderings_Oord(_u3254) | ( _u3255 != _u3256) | ( _u3257 != _u3258) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3254, _u3253), _u3259), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3254, _u3255), _u3257)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3254, _u3253), _u3260), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3254, _u3256), _u3258))) | ( hAPP(_u3259, skolem90(_u3260, _u3259, _u3258, _u3257, _u3256, _u3255, _u3254, _u3253)) != hAPP(_u3260, skolem90(_u3260, _u3259, _u3258, _u3257, _u3256, _u3255, _u3254, _u3253))) )).
% 12.54/12.77 cnf(matrix-2139, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3262), _u3267)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3262), _u3268)) | ( hAPP(_u3266, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3262, tc_HOL_Obool)), _u3267), _u3268)) = hAPP(hAPP(_u3263, hAPP(_u3266, _u3267)), hAPP(_u3266, _u3268))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u3261, _u3262, _u3263, _u3264, _u3265, _u3266) )).
% 12.54/12.77 cnf(matrix-2140, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3270), _u3275)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3270, tc_HOL_Obool)), _u3276), _u3275)) | ( hAPP(hAPP(_u3271, hAPP(_u3274, _u3276)), hAPP(_u3274, _u3275)) = hAPP(_u3274, _u3275)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u3269, _u3270, _u3271, _u3272, _u3273, _u3274) )).
% 12.54/12.77 cnf(matrix-2141, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u3277), _u3278))) )).
% 12.54/12.77 cnf(matrix-2142, plain, ( ~class_Groups_Ocomm__monoid__add(_u3279) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3280), _u3281)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3281), _u3282)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3279), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u3279), _u3283), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u3280), _u3281))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u3279), _u3283), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u3281), _u3282))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u3279), _u3283), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u3280), _u3282))) )).
% 12.54/12.77 cnf(matrix-2143, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3289)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u3284), _u3289)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3284), skolem91(_u3289))) )).
% 12.54/12.77 cnf(matrix-2144, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3290)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem92(_u3290, _u3287)), _u3290)) )).
% 12.54/12.77 cnf(matrix-2145, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3290)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem92(_u3290, _u3287)), _u3287)) )).
% 12.54/12.77 cnf(matrix-2146, plain, ( ~class_Groups_Oab__semigroup__add(_u3291) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3291), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3291), _u3292), _u3293)), _u3294) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3291), _u3292), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3291), _u3293), _u3294))) )).
% 12.54/12.77 cnf(matrix-2147, plain, ( ~class_Groups_Ocancel__semigroup__add(_u3295) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3295), _u3296), _u3297) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3295), _u3296), _u3298)) | ( _u3297 = _u3298) )).
% 12.54/12.77 cnf(matrix-2148, plain, ( ~class_Groups_Ocancel__semigroup__add(_u3295) | ( _u3297 != _u3298) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3295), _u3296), _u3297) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3295), _u3296), _u3298)) )).
% 12.54/12.77 cnf(matrix-2149, plain, ( ~class_Groups_Ocancel__semigroup__add(_u3299) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3299), _u3300), _u3301) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3299), _u3302), _u3301)) | ( _u3300 = _u3302) )).
% 12.54/12.77 cnf(matrix-2150, plain, ( ~class_Groups_Ocancel__semigroup__add(_u3299) | ( _u3300 != _u3302) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3299), _u3300), _u3301) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3299), _u3302), _u3301)) )).
% 12.54/12.77 cnf(matrix-2151, plain, ( ~class_Groups_Ocancel__semigroup__add(_u3303) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3303), _u3304), _u3305) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3303), _u3304), _u3306)) | ( _u3305 = _u3306) )).
% 12.54/12.77 cnf(matrix-2152, plain, ( ~class_Groups_Ocancel__ab__semigroup__add(_u3307) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3307), _u3308), _u3309) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3307), _u3308), _u3310)) | ( _u3309 = _u3310) )).
% 12.54/12.77 cnf(matrix-2153, plain, ( ~class_Groups_Ocancel__semigroup__add(_u3311) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3311), _u3312), _u3313) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3311), _u3314), _u3313)) | ( _u3312 = _u3314) )).
% 12.54/12.77 cnf(matrix-2154, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3315), _u3316)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u3315), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3316), _u3317)) = 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, _u3315), _u3316)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u3316), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3316), _u3317)))) )).
% 12.54/12.77 cnf(matrix-2155, plain, ( ( hAPP(hAPP(_u3320, _u3324), _u3324) = _u3324) | ~c_Finite__Set_Ofolding__image__simple__idem(_u3318, _u3319, _u3320, _u3321, _u3322, _u3323) )).
% 12.54/12.77 cnf(matrix-2156, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3325) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3325), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3325), _u3326), _u3327)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3325), _u3326), _u3328))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3325), _u3327), _u3328)) )).
% 12.54/12.77 cnf(matrix-2157, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3329) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3329), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3329), _u3330), _u3331)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3329), _u3332), _u3331))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3329), _u3330), _u3332)) )).
% 12.54/12.77 cnf(matrix-2158, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u3333) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3333), _u3334), _u3335)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3333), _u3336), _u3337)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3333), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3333), _u3334), _u3336)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3333), _u3335), _u3337))) )).
% 12.54/12.77 cnf(matrix-2159, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u3338) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3338), _u3339), _u3340)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3338), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3338), _u3341), _u3339)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3338), _u3341), _u3340))) )).
% 12.54/12.77 cnf(matrix-2160, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u3342) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3342), _u3343), _u3344)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3342), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3342), _u3343), _u3345)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3342), _u3344), _u3345))) )).
% 12.54/12.77 cnf(matrix-2161, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3346) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3346), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3346), _u3347), _u3348)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3346), _u3347), _u3349))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3346), _u3348), _u3349)) )).
% 12.54/12.77 cnf(matrix-2162, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3346) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3346), _u3348), _u3349)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3346), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3346), _u3347), _u3348)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3346), _u3347), _u3349))) )).
% 12.54/12.77 cnf(matrix-2163, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3350) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3350), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3350), _u3351), _u3352)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3350), _u3353), _u3352))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3350), _u3351), _u3353)) )).
% 12.54/12.77 cnf(matrix-2164, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3350) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3350), _u3351), _u3353)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3350), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3350), _u3351), _u3352)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3350), _u3353), _u3352))) )).
% 12.54/12.77 cnf(matrix-2165, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3354) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3354), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3354), _u3355), _u3356)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3354), _u3355), _u3357))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3354), _u3356), _u3357)) )).
% 12.54/12.77 cnf(matrix-2166, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3358) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3358), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3358), _u3359), _u3360)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3358), _u3361), _u3360))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3358), _u3359), _u3361)) )).
% 12.54/12.77 cnf(matrix-2167, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u3362) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3362), _u3363), _u3364)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3362), _u3365), _u3366)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3362), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3362), _u3363), _u3365)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3362), _u3364), _u3366))) )).
% 12.54/12.77 cnf(matrix-2168, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u3367) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3367), _u3368), _u3369)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3367), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3367), _u3370), _u3368)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3367), _u3370), _u3369))) )).
% 12.54/12.77 cnf(matrix-2169, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u3371) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3371), _u3372), _u3373)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3371), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3371), _u3372), _u3374)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3371), _u3373), _u3374))) )).
% 12.54/12.77 cnf(matrix-2170, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3375) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3375), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3375), _u3376), _u3377)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3375), _u3376), _u3378))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3375), _u3377), _u3378)) )).
% 12.54/12.77 cnf(matrix-2171, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3375) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3375), _u3377), _u3378)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3375), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3375), _u3376), _u3377)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3375), _u3376), _u3378))) )).
% 12.54/12.77 cnf(matrix-2172, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3379) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3379), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3379), _u3380), _u3381)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3379), _u3382), _u3381))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3379), _u3380), _u3382)) )).
% 12.54/12.77 cnf(matrix-2173, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3379) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3379), _u3380), _u3382)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3379), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3379), _u3380), _u3381)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3379), _u3382), _u3381))) )).
% 12.54/12.77 cnf(matrix-2174, plain, ( ~class_Rings_Osemiring(_u3383) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3383), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3383), _u3384), _u3385)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3383), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3383), _u3386), _u3385)), _u3387)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3383), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3383), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3383), _u3384), _u3386)), _u3385)), _u3387)) )).
% 12.54/12.77 cnf(matrix-2175, plain, ( ~class_Rings_Ocomm__semiring(_u3388) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3388), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3388), _u3389), _u3390)), _u3391) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3388), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3388), _u3389), _u3391)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3388), _u3390), _u3391))) )).
% 12.54/12.77 cnf(matrix-2176, plain, ( ~class_Groups_Ogroup__add(_u3392) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3392), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3392), _u3393), _u3394)), _u3394) = _u3393) )).
% 12.54/12.77 cnf(matrix-2177, plain, ( ~class_Groups_Ogroup__add(_u3395) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3395), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3395), _u3396), _u3397)), _u3397) = _u3396) )).
% 12.54/12.77 cnf(matrix-2178, plain, ( ~class_Groups_Oab__group__add(_u3398) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3398), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3398), _u3399), _u3400)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3398), hAPP(c_Groups_Ouminus__class_Ouminus(_u3398), _u3399)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3398), _u3400))) )).
% 12.54/12.77 cnf(matrix-2179, plain, ( ~class_Groups_Ogroup__add(_u3401) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u3401), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3401), _u3402), _u3403)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3401), hAPP(c_Groups_Ouminus__class_Ouminus(_u3401), _u3403)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3401), _u3402))) )).
% 12.54/12.77 cnf(matrix-2180, plain, ( ~class_Groups_Ogroup__add(_u3404) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3404), _u3405), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3404), hAPP(c_Groups_Ouminus__class_Ouminus(_u3404), _u3405)), _u3406)) = _u3406) )).
% 12.54/12.77 cnf(matrix-2181, plain, ( ~class_Groups_Ogroup__add(_u3407) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3407), hAPP(c_Groups_Ouminus__class_Ouminus(_u3407), _u3408)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3407), _u3408), _u3409)) = _u3409) )).
% 12.54/12.77 cnf(matrix-2182, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u3410) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3410), _u3411), _u3412)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3410), _u3413), _u3414)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3410), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3410), _u3411), _u3413)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3410), _u3412), _u3414))) )).
% 12.54/12.77 cnf(matrix-2183, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u3415) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3415), _u3416), _u3417)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3415), _u3418), _u3419)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3415), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3415), _u3416), _u3418)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3415), _u3417), _u3419))) )).
% 12.54/12.77 cnf(matrix-2184, plain, ( ~class_Rings_Oring(_u3420) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3420), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3420), _u3421), _u3422)), _u3423) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3420), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3420), _u3424), _u3422)), _u3425)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3420), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3420), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3420), _u3421), _u3424)), _u3422)), _u3423) = _u3425) )).
% 12.54/12.77 cnf(matrix-2185, plain, ( ~class_Rings_Oring(_u3420) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3420), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3420), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3420), _u3421), _u3424)), _u3422)), _u3423) != _u3425) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3420), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3420), _u3421), _u3422)), _u3423) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3420), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3420), _u3424), _u3422)), _u3425)) )).
% 12.54/12.77 cnf(matrix-2186, plain, ( ~class_Rings_Oring(_u3426) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3426), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3426), _u3427), _u3428)), _u3429) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3426), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3426), _u3430), _u3428)), _u3431)) | ( _u3429 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3426), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3426), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3426), _u3430), _u3427)), _u3428)), _u3431)) )).
% 12.54/12.77 cnf(matrix-2187, plain, ( ~class_Rings_Oring(_u3426) | ( _u3429 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3426), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3426), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3426), _u3430), _u3427)), _u3428)), _u3431)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3426), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3426), _u3427), _u3428)), _u3429) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3426), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3426), _u3430), _u3428)), _u3431)) )).
% 12.54/12.77 cnf(matrix-2188, plain, ( ~class_Groups_Ogroup__add(_u3432) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3432), _u3433), _u3434) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3432), _u3433), hAPP(c_Groups_Ouminus__class_Ouminus(_u3432), _u3434))) )).
% 12.54/12.77 cnf(matrix-2189, plain, ( ~class_Groups_Oab__group__add(_u3435) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3435), _u3436), _u3437) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3435), _u3436), hAPP(c_Groups_Ouminus__class_Ouminus(_u3435), _u3437))) )).
% 12.54/12.77 cnf(matrix-2190, plain, ( ~class_Groups_Ogroup__add(_u3438) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3438), _u3439), hAPP(c_Groups_Ouminus__class_Ouminus(_u3438), _u3440)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3438), _u3439), _u3440)) )).
% 12.54/12.77 cnf(matrix-2191, plain, ( ~class_Rings_Oordered__ring(_u3441) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3441), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3441), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3441), _u3442), _u3443)), _u3444)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3441), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3441), _u3445), _u3443)), _u3446))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3441), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3441), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3441), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3441), _u3442), _u3445)), _u3443)), _u3444)), _u3446)) )).
% 12.54/12.77 cnf(matrix-2192, plain, ( ~class_Rings_Oordered__ring(_u3441) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3441), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3441), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3441), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3441), _u3442), _u3445)), _u3443)), _u3444)), _u3446)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3441), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3441), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3441), _u3442), _u3443)), _u3444)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3441), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3441), _u3445), _u3443)), _u3446))) )).
% 12.54/12.77 cnf(matrix-2193, plain, ( ~class_Rings_Oordered__ring(_u3447) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3447), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3447), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3447), _u3448), _u3449)), _u3450)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3447), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3447), _u3451), _u3449)), _u3452))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3447), _u3450), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3447), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3447), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3447), _u3451), _u3448)), _u3449)), _u3452))) )).
% 12.54/12.77 cnf(matrix-2194, plain, ( ~class_Rings_Oordered__ring(_u3447) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3447), _u3450), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3447), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3447), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3447), _u3451), _u3448)), _u3449)), _u3452))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3447), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3447), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3447), _u3448), _u3449)), _u3450)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3447), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3447), _u3451), _u3449)), _u3452))) )).
% 12.54/12.77 cnf(matrix-2195, plain, ( ~class_Rings_Oordered__ring(_u3453) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3453), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3453), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3453), _u3454), _u3455)), _u3456)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3453), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3453), _u3457), _u3455)), _u3458))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3453), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3453), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3453), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3453), _u3454), _u3457)), _u3455)), _u3456)), _u3458)) )).
% 12.54/12.77 cnf(matrix-2196, plain, ( ~class_Rings_Oordered__ring(_u3453) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3453), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3453), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3453), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3453), _u3454), _u3457)), _u3455)), _u3456)), _u3458)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3453), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3453), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3453), _u3454), _u3455)), _u3456)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3453), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3453), _u3457), _u3455)), _u3458))) )).
% 12.54/12.77 cnf(matrix-2197, plain, ( ~class_Rings_Oordered__ring(_u3459) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3459), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3459), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3459), _u3460), _u3461)), _u3462)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3459), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3459), _u3463), _u3461)), _u3464))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3459), _u3462), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3459), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3459), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3459), _u3463), _u3460)), _u3461)), _u3464))) )).
% 12.54/12.77 cnf(matrix-2198, plain, ( ~class_Rings_Oordered__ring(_u3459) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3459), _u3462), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3459), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3459), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3459), _u3463), _u3460)), _u3461)), _u3464))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3459), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3459), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3459), _u3460), _u3461)), _u3462)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3459), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3459), _u3463), _u3461)), _u3464))) )).
% 12.54/12.77 cnf(matrix-2199, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3465), _u3466)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3465), _u3467)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3465, tc_Nat_Onat), _u3468), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3465, tc_HOL_Obool)), _u3466), _u3467)) = 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(_u3465, tc_Nat_Onat), _u3468), _u3466)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3465, tc_Nat_Onat), _u3468), _u3467))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3465, tc_Nat_Onat), _u3468), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3465, tc_HOL_Obool)), _u3466), _u3467)))) )).
% 12.54/12.77 cnf(matrix-2200, plain, ( ~class_Groups_Ocomm__monoid__add(_u3469) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3470), _u3471)) | hBOOL(hAPP(hAPP(c_member(_u3470), _u3472), _u3471)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3470, _u3469), _u3473), hAPP(hAPP(c_Set_Oinsert(_u3470), _u3472), _u3471)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3469), hAPP(_u3473, _u3472)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3470, _u3469), _u3473), _u3471))) )).
% 12.54/12.77 cnf(matrix-2201, plain, ( ~class_Groups_Ocomm__monoid__add(_u3474) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3475), _u3476)) | hBOOL(hAPP(hAPP(c_member(_u3475), _u3477), _u3476)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3475, _u3474), _u3478), hAPP(hAPP(c_Set_Oinsert(_u3475), _u3477), _u3476)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3474), hAPP(_u3478, _u3477)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3475, _u3474), _u3478), _u3476))) )).
% 12.54/12.77 cnf(matrix-2202, plain, ( ~class_Groups_Ocomm__monoid__add(_u3479) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3480), _u3481)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3480), _u3482)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3479), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3480, _u3479), _u3483), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3480, tc_HOL_Obool)), _u3481), _u3482))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3480, _u3479), _u3483), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3480, tc_HOL_Obool)), _u3481), _u3482))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3479), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3480, _u3479), _u3483), _u3481)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3480, _u3479), _u3483), _u3482))) )).
% 12.54/12.77 cnf(matrix-2203, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3485), _u3490)) | ~hBOOL(hAPP(hAPP(c_member(_u3485), _u3491), _u3490)) | ( hAPP(hAPP(_u3486, hAPP(_u3488, _u3491)), hAPP(_u3489, _u3490)) = hAPP(_u3489, _u3490)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u3484, _u3485, _u3486, _u3487, _u3488, _u3489) )).
% 12.54/12.77 cnf(matrix-2204, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3493), _u3498)) | ( hAPP(_u3497, hAPP(hAPP(c_Set_Oinsert(_u3493), _u3499), _u3498)) = hAPP(hAPP(_u3494, hAPP(_u3496, _u3499)), hAPP(_u3497, _u3498))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u3492, _u3493, _u3494, _u3495, _u3496, _u3497) )).
% 12.54/12.77 cnf(matrix-2205, plain, ( ~class_Groups_Ocomm__monoid__add(_u3500) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3501), _u3502)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3501, _u3500), _u3503), hAPP(hAPP(c_Set_Oinsert(_u3501), _u3504), _u3502)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3500), hAPP(_u3503, _u3504)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3501, _u3500), _u3503), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3501, tc_HOL_Obool)), _u3502), hAPP(hAPP(c_Set_Oinsert(_u3501), _u3504), c_Orderings_Obot__class_Obot(tc_fun(_u3501, tc_HOL_Obool))))))) )).
% 12.54/12.77 cnf(matrix-2206, plain, ( ~class_Groups_Ocomm__monoid__add(_u3505) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3506), _u3507)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3506), _u3508)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3506, tc_HOL_Obool)), _u3507), _u3508) != c_Orderings_Obot__class_Obot(tc_fun(_u3506, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3506, _u3505), _u3509), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3506, tc_HOL_Obool)), _u3507), _u3508)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3505), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3506, _u3505), _u3509), _u3507)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3506, _u3505), _u3509), _u3508))) )).
% 12.54/12.77 cnf(matrix-2207, plain, ( ~class_Groups_Oab__group__add(_u3510) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3511), _u3512)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3511), _u3513)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3511, _u3510), _u3514), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3511, tc_HOL_Obool)), _u3512), _u3513)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3510), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3510), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3511, _u3510), _u3514), _u3512)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3511, _u3510), _u3514), _u3513))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3511, _u3510), _u3514), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3511, tc_HOL_Obool)), _u3512), _u3513)))) )).
% 12.54/12.77 cnf(matrix-2208, plain, ( ~class_Rings_Ocomm__ring__1(_u3515) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3515), _u3516), _u3517) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3515), _u3516), hAPP(c_Groups_Ouminus__class_Ouminus(_u3515), _u3517))) )).
% 12.54/12.77 cnf(matrix-2209, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3518), _u3519)) | ~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), _u3518), _u3520)), _u3521)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3519), _u3520)), _u3522))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3521), 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), _u3519), _u3518)), _u3520)), _u3522))) )).
% 12.54/12.77 cnf(matrix-2210, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3518), _u3519)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3521), 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), _u3519), _u3518)), _u3520)), _u3522))) | 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), _u3518), _u3520)), _u3521)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3519), _u3520)), _u3522))) )).
% 12.54/12.77 cnf(matrix-2211, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3523), _u3524)) | ~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), _u3524), _u3525)), _u3526)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3523), _u3525)), _u3527))) | 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), _u3524), _u3523)), _u3525)), _u3526)), _u3527)) )).
% 12.54/12.77 cnf(matrix-2212, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3523), _u3524)) | ~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), _u3524), _u3523)), _u3525)), _u3526)), _u3527)) | 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), _u3524), _u3525)), _u3526)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3523), _u3525)), _u3527))) )).
% 12.54/12.77 cnf(matrix-2213, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3528), _u3529)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3528), _u3530)), _u3531) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3529), _u3530)), _u3532)) | ( _u3531 = 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), _u3529), _u3528)), _u3530)), _u3532)) )).
% 12.54/12.77 cnf(matrix-2214, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3528), _u3529)) | ( _u3531 != 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), _u3529), _u3528)), _u3530)), _u3532)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3528), _u3530)), _u3531) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3529), _u3530)), _u3532)) )).
% 12.54/12.77 cnf(matrix-2215, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3533), _u3534)) | ( 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), _u3533), _u3535)), _u3536)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3534), _u3535)), _u3537)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3536), 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), _u3534), _u3533)), _u3535)), _u3537))) )).
% 12.54/12.77 cnf(matrix-2216, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3538), _u3539)) | ~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), _u3538), _u3540)), _u3541)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3539), _u3540)), _u3542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3541), 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), _u3539), _u3538)), _u3540)), _u3542))) )).
% 12.54/12.77 cnf(matrix-2217, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3538), _u3539)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3541), 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), _u3539), _u3538)), _u3540)), _u3542))) | 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), _u3538), _u3540)), _u3541)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3539), _u3540)), _u3542))) )).
% 12.54/12.77 cnf(matrix-2218, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3543), _u3544)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3544), _u3545)), _u3546) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3543), _u3545)), _u3547)) | ( 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), _u3544), _u3543)), _u3545)), _u3546) = _u3547) )).
% 12.54/12.77 cnf(matrix-2219, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3543), _u3544)) | ( 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), _u3544), _u3543)), _u3545)), _u3546) != _u3547) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3544), _u3545)), _u3546) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3543), _u3545)), _u3547)) )).
% 12.54/12.77 cnf(matrix-2220, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3548), _u3549)) | ( 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), _u3549), _u3550)), _u3551)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3548), _u3550)), _u3552)) = 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), _u3549), _u3548)), _u3550)), _u3551)), _u3552)) )).
% 12.54/12.77 cnf(matrix-2221, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u3553))) )).
% 12.54/12.77 cnf(matrix-2222, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u3554, _u3555))) )).
% 12.54/12.77 cnf(matrix-2223, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u3556, _u3557))) )).
% 12.54/12.77 cnf(matrix-2224, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u3558))) )).
% 12.54/12.77 cnf(matrix-2225, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u3559, _u3560))) )).
% 12.54/12.77 cnf(matrix-2226, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3561), _u3562)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3563), _u3562)), _u3564)) = 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), _u3561), _u3563)), _u3562)), _u3564)) )).
% 12.54/12.77 cnf(matrix-2227, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3570)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u3565), _u3570)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3565), skolem93(_u3570))) )).
% 12.54/12.77 cnf(matrix-2228, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3571)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem94(_u3571, _u3568)), _u3571)) )).
% 12.54/12.77 cnf(matrix-2229, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3571)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem94(_u3571, _u3568)), _u3568)) )).
% 12.54/12.77 cnf(matrix-2230, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.54/12.77 cnf(matrix-2231, plain, ( ~class_Rings_Ocomm__semiring__1(_u3572) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3572), _u3573), _u3574) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3572), _u3574), _u3573)) )).
% 12.54/12.77 cnf(matrix-2232, plain, ( ~class_Rings_Ocomm__semiring__1(_u3575) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3575), _u3576), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3575), _u3577), _u3578)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3575), _u3577), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3575), _u3576), _u3578))) )).
% 12.54/12.77 cnf(matrix-2233, plain, ( ~class_Rings_Ocomm__semiring__1(_u3579) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3579), _u3580), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3579), _u3581), _u3582)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3579), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3579), _u3580), _u3581)), _u3582)) )).
% 12.54/12.77 cnf(matrix-2234, plain, ( ~class_Rings_Ocomm__semiring__1(_u3583) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3583), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3583), _u3584), _u3585)), _u3586) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3583), _u3584), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3583), _u3585), _u3586))) )).
% 12.54/12.77 cnf(matrix-2235, plain, ( ~class_Rings_Ocomm__semiring__1(_u3587) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3587), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3587), _u3588), _u3589)), _u3590) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3587), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3587), _u3588), _u3590)), _u3589)) )).
% 12.54/12.77 cnf(matrix-2236, plain, ( ~class_Rings_Ocomm__semiring__1(_u3591) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3591), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3591), _u3592), _u3593)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3591), _u3594), _u3595)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3591), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3591), _u3592), _u3594)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3591), _u3593), _u3595))) )).
% 12.54/12.77 cnf(matrix-2237, plain, ( ~class_Rings_Ocomm__semiring__1(_u3596) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3596), _u3597), _u3598) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3596), _u3598), _u3597)) )).
% 12.54/12.77 cnf(matrix-2238, plain, ( ~class_Rings_Ocomm__semiring__1(_u3599) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3599), _u3600), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3599), _u3601), _u3602)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3599), _u3601), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3599), _u3600), _u3602))) )).
% 12.54/12.77 cnf(matrix-2239, plain, ( ~class_Rings_Ocomm__semiring__1(_u3603) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3603), _u3604), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3603), _u3605), _u3606)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3603), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3603), _u3604), _u3605)), _u3606)) )).
% 12.54/12.77 cnf(matrix-2240, plain, ( ~class_Rings_Ocomm__semiring__1(_u3607) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3607), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3607), _u3608), _u3609)), _u3610) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3607), _u3608), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3607), _u3609), _u3610))) )).
% 12.54/12.77 cnf(matrix-2241, plain, ( ~class_Rings_Ocomm__semiring__1(_u3611) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3611), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3611), _u3612), _u3613)), _u3614) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3611), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3611), _u3612), _u3614)), _u3613)) )).
% 12.54/12.77 cnf(matrix-2242, plain, ( ~class_Rings_Ocomm__semiring__1(_u3615) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3615), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3615), _u3616), _u3617)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3615), _u3618), _u3619)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3615), _u3616), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3615), _u3617), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3615), _u3618), _u3619)))) )).
% 12.54/12.77 cnf(matrix-2243, plain, ( ~class_Rings_Ocomm__semiring__1(_u3620) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3620), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3620), _u3621), _u3622)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3620), _u3623), _u3624)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3620), _u3623), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3620), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3620), _u3621), _u3622)), _u3624))) )).
% 12.54/12.77 cnf(matrix-2244, plain, ( ~class_Rings_Ocomm__semiring__1(_u3625) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3625), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3625), _u3626), _u3627)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3625), _u3628), _u3629)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3625), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3625), _u3626), _u3628)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3625), _u3627), _u3629))) )).
% 12.54/12.77 cnf(matrix-2245, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u3630) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3630), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3630), _u3631), _u3632)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3630), _u3633), _u3634)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3630), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3630), _u3631), _u3634)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3630), _u3633), _u3632))) | ( _u3631 = _u3633) | ( _u3632 = _u3634) )).
% 12.54/12.77 cnf(matrix-2246, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u3630) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3630), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3630), _u3631), _u3632)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3630), _u3633), _u3634)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3630), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3630), _u3631), _u3634)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3630), _u3633), _u3632))) | ( _u3631 != _u3633) )).
% 12.54/12.77 cnf(matrix-2247, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u3630) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3630), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3630), _u3631), _u3632)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3630), _u3633), _u3634)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3630), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3630), _u3631), _u3634)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3630), _u3633), _u3632))) | ( _u3632 != _u3634) )).
% 12.54/12.77 cnf(matrix-2248, plain, ( ~class_Rings_Ocomm__semiring__1(_u3635) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3635), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3635), _u3636), _u3637)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3635), _u3638), _u3637)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3635), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3635), _u3636), _u3638)), _u3637)) )).
% 12.54/12.77 cnf(matrix-2249, plain, ( ~class_Rings_Ocomm__semiring__1(_u3639) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3639), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3639), _u3640), _u3641)), _u3642) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3639), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3639), _u3640), _u3642)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3639), _u3641), _u3642))) )).
% 12.54/12.77 cnf(matrix-2250, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u3643) | ( _u3644 = _u3645) | ( _u3646 = _u3647) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3643), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3643), _u3644), _u3646)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3643), _u3645), _u3647)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3643), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3643), _u3644), _u3647)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3643), _u3645), _u3646))) )).
% 12.54/12.77 cnf(matrix-2251, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u3643) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3643), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3643), _u3644), _u3646)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3643), _u3645), _u3647)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3643), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3643), _u3644), _u3647)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3643), _u3645), _u3646))) | ( _u3644 != _u3645) )).
% 12.54/12.77 cnf(matrix-2252, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u3643) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3643), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3643), _u3644), _u3646)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3643), _u3645), _u3647)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3643), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3643), _u3644), _u3647)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3643), _u3645), _u3646))) | ( _u3646 != _u3647) )).
% 12.54/12.77 cnf(matrix-2253, plain, ( ~class_Rings_Ocomm__semiring__1(_u3648) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3648), _u3649), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3648), _u3650), _u3651)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3648), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3648), _u3649), _u3650)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3648), _u3649), _u3651))) )).
% 12.54/12.77 cnf(matrix-2254, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3652), _u3653)) | ~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), _u3653), _u3654)), _u3655)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3652), _u3654)), _u3656))) | 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), _u3653), _u3652)), _u3654)), _u3655)), _u3656)) )).
% 12.54/12.77 cnf(matrix-2255, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3652), _u3653)) | ~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), _u3653), _u3652)), _u3654)), _u3655)), _u3656)) | 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), _u3653), _u3654)), _u3655)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3652), _u3654)), _u3656))) )).
% 12.54/12.77 cnf(matrix-2256, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3657), _u3658)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3659), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3658), _u3657)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3659), _u3657)), _u3658)) )).
% 12.54/12.77 cnf(matrix-2257, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3663), _u3665)), _u3667)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3663), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3667), _u3665))) )).
% 12.54/12.77 cnf(matrix-2258, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3664), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3668), _u3666))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3664), _u3666)), _u3668)) )).
% 12.54/12.77 cnf(matrix-2259, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3669), _u3670)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3671), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3670), _u3671)), _u3669))) )).
% 12.54/12.77 cnf(matrix-2260, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3672), _u3673)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3672), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3673), _u3672)) = _u3673) )).
% 12.54/12.77 cnf(matrix-2261, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3674), _u3675)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3676), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3675), _u3674)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3676), _u3675)), _u3674)) )).
% 12.54/12.77 cnf(matrix-2262, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3677), _u3678)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3679), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3678), _u3677))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3679), _u3677)), _u3678)) )).
% 12.54/12.77 cnf(matrix-2263, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3677), _u3678)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3679), _u3677)), _u3678)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3679), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3678), _u3677))) )).
% 12.54/12.77 cnf(matrix-2264, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3680), _u3681)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3681), _u3680)), _u3680) = _u3681) )).
% 12.54/12.77 cnf(matrix-2265, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3682), _u3683)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3683), _u3682) != _u3684) | ( _u3683 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3684), _u3682)) )).
% 12.54/12.77 cnf(matrix-2266, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3682), _u3683)) | ( _u3683 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3684), _u3682)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3683), _u3682) = _u3684) )).
% 12.54/12.77 cnf(matrix-2267, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3685), _u3686)) | ( _u3685 = _u3686) | hBOOL(hAPP(hAPP(_u3687, _u3686), _u3685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3686), _u3685)) )).
% 12.54/12.77 cnf(matrix-2268, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3688), _u3689)) | ( _u3688 != _u3689) )).
% 12.54/12.77 cnf(matrix-2269, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3690), _u3691)) | ( _u3691 != _u3690) )).
% 12.54/12.77 cnf(matrix-2270, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3692), _u3692)) )).
% 12.54/12.77 cnf(matrix-2271, plain, ( ( _u3693 = _u3694) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3693), _u3694)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3694), _u3693)) )).
% 12.54/12.77 cnf(matrix-2272, plain, ( ( _u3697 = _u3699) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3697), _u3699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3699), _u3697)) )).
% 12.54/12.77 cnf(matrix-2273, plain, ( ( _u3698 != _u3700) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3698), _u3700)) )).
% 12.54/12.77 cnf(matrix-2274, plain, ( ( _u3698 != _u3700) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3700), _u3698)) )).
% 12.54/12.77 cnf(matrix-2275, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3701), _u3701)) )).
% 12.54/12.77 cnf(matrix-2276, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3702), _u3703) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3703), _u3702)) )).
% 12.54/12.77 cnf(matrix-2277, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3704), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3705), _u3706)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3705), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3704), _u3706))) )).
% 12.54/12.77 cnf(matrix-2278, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3707), _u3708)), _u3709) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3707), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3708), _u3709))) )).
% 12.54/12.77 cnf(matrix-2279, plain, ( ( _u3715 = _u3717) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3713), _u3715) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3713), _u3717)) )).
% 12.54/12.77 cnf(matrix-2280, plain, ( ( _u3716 != _u3718) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3714), _u3716) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3714), _u3718)) )).
% 12.54/12.77 cnf(matrix-2281, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3722), _u3724) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3726), _u3724)) | ( _u3722 = _u3726) )).
% 12.54/12.77 cnf(matrix-2282, plain, ( ( _u3723 != _u3727) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3723), _u3725) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3727), _u3725)) )).
% 12.54/12.77 cnf(matrix-2283, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3728), _u3729)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3729), _u3728)) | ( _u3728 = _u3729) )).
% 12.54/12.77 cnf(matrix-2284, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3730), _u3731)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3731), _u3732)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3730), _u3732)) )).
% 12.54/12.77 cnf(matrix-2285, plain, ( ( _u3733 != _u3734) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3733), _u3734)) )).
% 12.54/12.77 cnf(matrix-2286, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3735), _u3736)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3736), _u3735)) )).
% 12.54/12.77 cnf(matrix-2287, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3737), _u3737)) )).
% 12.54/12.77 cnf(matrix-2288, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3738), _u3739)), _u3740) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3738), _u3740)), _u3739)) )).
% 12.54/12.77 cnf(matrix-2289, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3741), _u3742) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3742), _u3741)) )).
% 12.54/12.77 cnf(matrix-2290, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3743), _u3744)), _u3745) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3743), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3744), _u3745))) )).
% 12.54/12.77 cnf(matrix-2291, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3746), _u3747)), _u3746)) )).
% 12.54/12.77 cnf(matrix-2292, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3748), _u3749)), _u3749)) )).
% 12.54/12.77 cnf(matrix-2293, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3755), _u3757)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3753), _u3755)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3753), _u3757))) )).
% 12.54/12.77 cnf(matrix-2294, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3756), _u3758)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3754), _u3756)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3754), _u3758))) )).
% 12.54/12.77 cnf(matrix-2295, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3759), _u3760)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3759), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3760), _u3761))) )).
% 12.54/12.77 cnf(matrix-2296, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3762), _u3763)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3762), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3764), _u3763))) )).
% 12.54/12.77 cnf(matrix-2297, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3765), _u3766)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3765), _u3767)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3766), _u3767))) )).
% 12.54/12.77 cnf(matrix-2298, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3768), _u3769)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3770), _u3771)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3768), _u3770)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3769), _u3771))) )).
% 12.54/12.77 cnf(matrix-2299, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3772), _u3773)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3774), _u3773) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3772), _u3775)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3774), _u3775)) )).
% 12.54/12.77 cnf(matrix-2300, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3776), _u3777)), _u3778)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3776), _u3778)) )).
% 12.54/12.77 cnf(matrix-2301, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3779), _u3780)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3779), _u3780)) )).
% 12.54/12.77 cnf(matrix-2302, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3779), _u3780)) | ( _u3779 != _u3780) )).
% 12.54/12.77 cnf(matrix-2303, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3781), _u3782)) | ( _u3781 = _u3782) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3781), _u3782)) )).
% 12.54/12.77 cnf(matrix-2304, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3783), _u3784)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3783), _u3784)) )).
% 12.54/12.77 cnf(matrix-2305, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3787), _u3789)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3787), _u3789)) | ( _u3787 = _u3789) )).
% 12.54/12.77 cnf(matrix-2306, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3788), _u3790)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3788), _u3790)) )).
% 12.54/12.77 cnf(matrix-2307, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3788), _u3790)) | ( _u3788 != _u3790) )).
% 12.54/12.77 cnf(matrix-2308, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3793), _u3795)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3793), _u3795)) )).
% 12.54/12.77 cnf(matrix-2309, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3793), _u3795)) | ( _u3793 != _u3795) )).
% 12.54/12.77 cnf(matrix-2310, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3794), _u3796)) | ( _u3794 = _u3796) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3794), _u3796)) )).
% 12.54/12.77 cnf(matrix-2311, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3797), _u3798)), _u3799)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3797), _u3799)) )).
% 12.54/12.77 cnf(matrix-2312, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3797), _u3798)), _u3799)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3798), _u3799)) )).
% 12.54/12.77 cnf(matrix-2313, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3800), _u3801)), _u3802)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3800), _u3802)) )).
% 12.54/12.77 cnf(matrix-2314, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3804), _u3805)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3803), _u3804)), _u3805)) )).
% 12.54/12.77 cnf(matrix-2315, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3806), _u3807)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3808), _u3809)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3806), _u3808)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3807), _u3809))) )).
% 12.54/12.77 cnf(matrix-2316, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3810), _u3811)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3810), _u3812)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3811), _u3812))) )).
% 12.54/12.77 cnf(matrix-2317, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3813), _u3814)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3813), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3815), _u3814))) )).
% 12.54/12.77 cnf(matrix-2318, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3816), _u3817)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3816), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3817), _u3818))) )).
% 12.54/12.77 cnf(matrix-2319, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3824), _u3826)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3822), _u3824)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3822), _u3826))) )).
% 12.54/12.77 cnf(matrix-2320, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3825), _u3827)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3823), _u3825)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3823), _u3827))) )).
% 12.54/12.77 cnf(matrix-2321, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3832), _u3834)) | ( _u3834 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3832), skolem95(_u3834, _u3832))) )).
% 12.54/12.77 cnf(matrix-2322, plain, ( ( _u3835 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3833), _u3829)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3833), _u3835)) )).
% 12.54/12.77 cnf(matrix-2323, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3836), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3836), _u3837))) )).
% 12.54/12.77 cnf(matrix-2324, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3838), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3839), _u3838))) )).
% 12.54/12.77 cnf(matrix-2325, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3840), _u3841)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3840), _u3842)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3842), _u3841)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3842), _u3840))) )).
% 12.54/12.77 cnf(matrix-2326, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3843), _u3844)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3843), _u3845)), _u3844)) )).
% 12.54/12.77 cnf(matrix-2327, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3846), _u3847)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3848), _u3847)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3846), _u3848)) )).
% 12.54/12.77 cnf(matrix-2328, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3849), _u3850)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3849), _u3851)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3850), _u3851)) )).
% 12.54/12.77 cnf(matrix-2329, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3852), _u3853)), _u3854) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3852), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3853), _u3854))) )).
% 12.54/12.77 cnf(matrix-2330, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3855), _u3856)), _u3855) = _u3856) )).
% 12.54/12.77 cnf(matrix-2331, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3857), _u3858)), _u3858) = _u3857) )).
% 12.54/12.77 cnf(matrix-2332, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3859), _u3860)), _u3861) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3859), _u3861)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3860), _u3861))) )).
% 12.54/12.77 cnf(matrix-2333, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3862), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3863), _u3864)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3862), _u3863)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3862), _u3864))) )).
% 12.54/12.77 cnf(matrix-2334, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3865), _u3866)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3865), _u3867)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3866), _u3865)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3867), _u3865))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3866), _u3867)) )).
% 12.54/12.77 cnf(matrix-2335, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3865), _u3866)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3865), _u3867)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3866), _u3867)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3866), _u3865)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3867), _u3865))) )).
% 12.54/12.77 cnf(matrix-2336, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3868), _u3869)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3868), _u3870)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3869), _u3868)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3870), _u3868)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3869), _u3870)) )).
% 12.54/12.77 cnf(matrix-2337, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3871), _u3872)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3871), _u3873)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3872), _u3871) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3873), _u3871)) | ( _u3872 = _u3873) )).
% 12.54/12.77 cnf(matrix-2338, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3871), _u3872)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3871), _u3873)) | ( _u3872 != _u3873) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3872), _u3871) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3873), _u3871)) )).
% 12.54/12.77 cnf(matrix-2339, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3874), _u3875)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3875), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3875), _u3874)) = _u3874) )).
% 12.54/12.77 cnf(matrix-2340, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3876), _u3877)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3876), _u3878)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3877), _u3878))) )).
% 12.54/12.77 cnf(matrix-2341, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3879), _u3880)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3881), _u3880)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3881), _u3879))) )).
% 12.54/12.77 cnf(matrix-2342, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3882), _u3883)), _u3882)) )).
% 12.54/12.77 cnf(matrix-2343, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3884), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3884), _u3884))) )).
% 12.54/12.77 cnf(matrix-2344, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3885), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3885), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3885), _u3885)))) )).
% 12.54/12.77 cnf(matrix-2345, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3886), _u3887)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3886), _u3888)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3887), _u3888))) )).
% 12.54/12.77 cnf(matrix-2346, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3889), _u3890)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3891), _u3889)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3891), _u3890))) )).
% 12.54/12.77 cnf(matrix-2347, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3892), _u3893)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3894), _u3895)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3892), _u3894)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3893), _u3895))) )).
% 12.54/12.77 cnf(matrix-2348, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3896), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3897), _u3898)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3896), _u3897)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3896), _u3898))) )).
% 12.54/12.77 cnf(matrix-2349, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3899), _u3900)), _u3901) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3899), _u3901)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3900), _u3901))) )).
% 12.54/12.77 cnf(matrix-2350, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3902), _u3903)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3903), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3902), _u3903)) = _u3902) )).
% 12.54/12.77 cnf(matrix-2351, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3907), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3909), _u3911))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3907), _u3911)), _u3909)) )).
% 12.54/12.77 cnf(matrix-2352, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3908), _u3912)), _u3910)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3908), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3910), _u3912))) )).
% 12.54/12.77 cnf(matrix-2353, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3913), _u3914)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3913), _u3915)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3914), _u3913)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3915), _u3913))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3914), _u3915)) )).
% 12.54/12.77 cnf(matrix-2354, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3913), _u3914)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3913), _u3915)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3914), _u3915)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3914), _u3913)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3915), _u3913))) )).
% 12.54/12.77 cnf(matrix-2355, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3916), _u3917)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3918), _u3916)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3916), _u3918)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3917), _u3918))) )).
% 12.54/12.77 cnf(matrix-2356, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3919), _u3920)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3920), _u3921)), _u3919) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3920), _u3919)), _u3921)) )).
% 12.54/12.77 cnf(matrix-2357, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3922), _u3923)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3923), _u3922)), _u3924) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3923), _u3924)), _u3922)) )).
% 12.54/12.77 cnf(matrix-2358, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3925), _u3926)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3927), _u3926)), _u3925) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3927), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3926), _u3925))) )).
% 12.54/12.77 cnf(matrix-2359, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3928), _u3929)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3928), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3930), _u3929))) )).
% 12.54/12.77 cnf(matrix-2360, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3931), _u3932)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3931), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3932), _u3933))) )).
% 12.54/12.77 cnf(matrix-2361, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3934), _u3935)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3934), _u3935)) )).
% 12.54/12.77 cnf(matrix-2362, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3936), _u3937)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3936), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3937), _u3938))) )).
% 12.54/12.77 cnf(matrix-2363, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3939), _u3940)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3939), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3941), _u3940))) )).
% 12.54/12.77 cnf(matrix-2364, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3942), _u3943)) | ~hBOOL(hAPP(hAPP(c_member(_u3942), _u3944), _u3943)) | ~hBOOL(hAPP(hAPP(c_member(_u3942), _u3945), _u3943)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3942), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3942, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3942, tc_HOL_Obool)), _u3943), hAPP(hAPP(c_Set_Oinsert(_u3942), _u3944), c_Orderings_Obot__class_Obot(tc_fun(_u3942, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u3942), _u3945), c_Orderings_Obot__class_Obot(tc_fun(_u3942, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u3942), _u3943))) )).
% 12.54/12.77 cnf(matrix-2365, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3946), _u3947)) | ~hBOOL(hAPP(hAPP(c_member(_u3946), _u3948), _u3947)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3946), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3946, tc_HOL_Obool)), _u3947), hAPP(hAPP(c_Set_Oinsert(_u3946), _u3948), c_Orderings_Obot__class_Obot(tc_fun(_u3946, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u3946), _u3947))) )).
% 12.54/12.77 cnf(matrix-2366, plain, ( ~class_Groups_Ocomm__monoid__add(_u3949) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3950), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3951), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u3949), _u3952), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u3950, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3951), _u3953))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3949), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u3949), _u3952), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u3950, _u3951))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u3949), _u3952), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3951), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3951), _u3953))))) )).
% 12.54/12.77 cnf(matrix-2367, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Product__Type_Ounit), c_Orderings_Otop__class_Otop(tc_fun(tc_Product__Type_Ounit, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2368, plain, ( ~class_Groups_Oone(_u3954) | ( c_Groups_Oone__class_Oone(_u3954) != _u3955) | ( _u3955 = c_Groups_Oone__class_Oone(_u3954)) )).
% 12.54/12.77 cnf(matrix-2369, plain, ( ~class_Groups_Oone(_u3954) | ( _u3955 != c_Groups_Oone__class_Oone(_u3954)) | ( c_Groups_Oone__class_Oone(_u3954) = _u3955) )).
% 12.54/12.77 cnf(matrix-2370, plain, ( ~class_Rings_Ocomm__semiring__1(_u3956) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3956), _u3957), c_Groups_Oone__class_Oone(_u3956)) = _u3957) )).
% 12.54/12.77 cnf(matrix-2371, plain, ( ~class_Rings_Ocomm__semiring__1(_u3958) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3958), c_Groups_Oone__class_Oone(_u3958)), _u3959) = _u3959) )).
% 12.54/12.77 cnf(matrix-2372, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3960) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3960), _u3961), c_Groups_Oone__class_Oone(_u3960)) = _u3961) )).
% 12.54/12.77 cnf(matrix-2373, plain, ( ~class_Groups_Omonoid__mult(_u3962) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3962), _u3963), c_Groups_Oone__class_Oone(_u3962)) = _u3963) )).
% 12.54/12.77 cnf(matrix-2374, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3964) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3964), c_Groups_Oone__class_Oone(_u3964)), _u3965) = _u3965) )).
% 12.54/12.77 cnf(matrix-2375, plain, ( ~class_Groups_Omonoid__mult(_u3966) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3966), c_Groups_Oone__class_Oone(_u3966)), _u3967) = _u3967) )).
% 12.54/12.77 cnf(matrix-2376, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3970), _u3971)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3970, tc_Nat_Onat), _u3972), _u3971) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u3970), _u3968), _u3971)) | ( hAPP(_u3972, _u3968) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2377, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3970), _u3971)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3970, tc_Nat_Onat), _u3972), _u3971) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u3970), skolem96(_u3972, _u3971, _u3970)), _u3971)) )).
% 12.54/12.77 cnf(matrix-2378, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3970), _u3971)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3970, tc_Nat_Onat), _u3972), _u3971) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u3972, skolem96(_u3972, _u3971, _u3970)) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2379, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u3973) = _u3973) )).
% 12.54/12.77 cnf(matrix-2380, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3976), _u3978)) | ( _u3976 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2381, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3976), _u3978)) | ( _u3978 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2382, plain, ( ( _u3977 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u3979 != 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), _u3977), _u3979)) )).
% 12.54/12.77 cnf(matrix-2383, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3980), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u3980) )).
% 12.54/12.77 cnf(matrix-2384, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3983), _u3985) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u3983 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2385, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3983), _u3985) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u3985 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2386, plain, ( ( _u3984 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u3986 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3984), _u3986) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2387, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u3987)) = _u3987) )).
% 12.54/12.77 cnf(matrix-2388, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3988), _u3989)) | hBOOL(hAPP(hAPP(c_member(_u3988), _u3990), _u3989)) | ( hAPP(c_Finite__Set_Ocard(_u3988), hAPP(hAPP(c_Set_Oinsert(_u3988), _u3990), _u3989)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u3988), _u3989))) )).
% 12.54/12.77 cnf(matrix-2389, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3991), c_Orderings_Otop__class_Otop(tc_fun(_u3991, tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u3991), _u3992) != hAPP(c_Finite__Set_Ocard(_u3991), c_Orderings_Otop__class_Otop(tc_fun(_u3991, tc_HOL_Obool)))) | ( _u3992 = c_Orderings_Otop__class_Otop(tc_fun(_u3991, tc_HOL_Obool))) )).
% 12.54/12.77 cnf(matrix-2390, plain, ( ~class_Rings_Olinordered__semidom(_u3993) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3993), _u3994), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3993), _u3994), c_Groups_Oone__class_Oone(_u3993)))) )).
% 12.54/12.77 cnf(matrix-2391, plain, ( ~class_Rings_Olinordered__semidom(_u3995) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3995), c_Groups_Oone__class_Oone(_u3995)), _u3996)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3995), c_Groups_Oone__class_Oone(_u3995)), _u3997)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3995), c_Groups_Oone__class_Oone(_u3995)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3995), _u3996), _u3997))) )).
% 12.54/12.77 cnf(matrix-2392, plain, ( ~class_Rings_Ocomm__semiring__1(_u3998) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3998), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3998), _u3999), _u4000)), _u4000) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3998), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3998), _u3999), c_Groups_Oone__class_Oone(_u3998))), _u4000)) )).
% 12.54/12.77 cnf(matrix-2393, plain, ( ~class_Rings_Ocomm__semiring__1(_u4001) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4001), _u4002), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4001), _u4003), _u4002)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4001), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4001), _u4003), c_Groups_Oone__class_Oone(_u4001))), _u4002)) )).
% 12.54/12.77 cnf(matrix-2394, plain, ( ~class_Rings_Ocomm__semiring__1(_u4004) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4004), _u4005), _u4005) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4004), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4004), c_Groups_Oone__class_Oone(_u4004)), c_Groups_Oone__class_Oone(_u4004))), _u4005)) )).
% 12.54/12.77 cnf(matrix-2395, plain, ( ~class_Rings_Ocomm__ring__1(_u4006) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4006), _u4007) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4006), hAPP(c_Groups_Ouminus__class_Ouminus(_u4006), c_Groups_Oone__class_Oone(_u4006))), _u4007)) )).
% 12.54/12.77 cnf(matrix-2396, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u4008) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4008), _u4009), _u4009) != c_Groups_Oone__class_Oone(_u4008)) | ( _u4009 = c_Groups_Oone__class_Oone(_u4008)) | ( _u4009 = hAPP(c_Groups_Ouminus__class_Ouminus(_u4008), c_Groups_Oone__class_Oone(_u4008))) )).
% 12.54/12.77 cnf(matrix-2397, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u4008) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4008), _u4009), _u4009) = c_Groups_Oone__class_Oone(_u4008)) | ( _u4009 != c_Groups_Oone__class_Oone(_u4008)) )).
% 12.54/12.77 cnf(matrix-2398, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u4008) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4008), _u4009), _u4009) = c_Groups_Oone__class_Oone(_u4008)) | ( _u4009 != hAPP(c_Groups_Ouminus__class_Ouminus(_u4008), c_Groups_Oone__class_Oone(_u4008))) )).
% 12.54/12.77 cnf(matrix-2399, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u4010), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u4011), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4011), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u4010))))) | ( _u4010 = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u4011), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4011), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u4010)))) )).
% 12.54/12.77 cnf(matrix-2400, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u4012), _u4013)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4013), _u4012)) )).
% 12.54/12.77 cnf(matrix-2401, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4014) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4015, _u4014), _u4016), c_Orderings_Obot__class_Obot(tc_fun(_u4015, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u4014)) )).
% 12.54/12.77 cnf(matrix-2402, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4017) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4018, _u4017), _u4019), c_Orderings_Obot__class_Obot(tc_fun(_u4018, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u4017)) )).
% 12.54/12.77 cnf(matrix-2403, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4020) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4021), _u4022)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4021, _u4020), _u4023), _u4022) = c_Groups_Oone__class_Oone(_u4020)) )).
% 12.54/12.77 cnf(matrix-2404, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4024) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4025), _u4026)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4025, _u4024), _u4027), _u4026) = c_Groups_Oone__class_Oone(_u4024)) )).
% 12.54/12.77 cnf(matrix-2405, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4028), _u4029)) | ~hBOOL(hAPP(hAPP(c_member(_u4028), _u4030), _u4029)) | hBOOL(hAPP(hAPP(c_member(_u4028), _u4030), _u4031)) | ( hAPP(c_Finite__Set_Ocard(_u4028), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4028, tc_HOL_Obool)), _u4029), hAPP(hAPP(c_Set_Oinsert(_u4028), _u4030), _u4031))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4028), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4028, tc_HOL_Obool)), _u4029), _u4031))), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.54/12.77 cnf(matrix-2406, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4032), _u4033)) | ( hAPP(c_Finite__Set_Ocard(_u4032), hAPP(hAPP(c_Set_Oinsert(_u4032), _u4034), _u4033)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u4032), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4032, tc_HOL_Obool)), _u4033), hAPP(hAPP(c_Set_Oinsert(_u4032), _u4034), c_Orderings_Obot__class_Obot(tc_fun(_u4032, tc_HOL_Obool))))))) )).
% 12.54/12.77 cnf(matrix-2407, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u4035, _u4036)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4036), _u4035)) )).
% 12.54/12.77 cnf(matrix-2408, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4037), _u4038)) | ~hBOOL(hAPP(hAPP(c_member(_u4037), _u4039), _u4038)) | ( hAPP(c_Finite__Set_Ocard(_u4037), _u4038) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u4037), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4037, tc_HOL_Obool)), _u4038), hAPP(hAPP(c_Set_Oinsert(_u4037), _u4039), c_Orderings_Obot__class_Obot(tc_fun(_u4037, tc_HOL_Obool))))))) )).
% 12.54/12.77 cnf(matrix-2409, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4040), _u4041)) | ~hBOOL(hAPP(hAPP(c_member(_u4040), _u4042), _u4041)) | ( hAPP(c_Finite__Set_Ocard(_u4040), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4040, tc_HOL_Obool)), _u4041), hAPP(hAPP(c_Set_Oinsert(_u4040), _u4042), c_Orderings_Obot__class_Obot(tc_fun(_u4040, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4040), _u4041)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.54/12.77 cnf(matrix-2410, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4043), _u4044)) | ~hBOOL(hAPP(hAPP(c_member(_u4043), _u4045), _u4044)) | ( hAPP(c_Finite__Set_Ocard(_u4043), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4043, tc_HOL_Obool)), _u4044), hAPP(hAPP(c_Set_Oinsert(_u4043), _u4045), c_Orderings_Obot__class_Obot(tc_fun(_u4043, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4043), _u4044)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.54/12.77 cnf(matrix-2411, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4043), _u4044)) | hBOOL(hAPP(hAPP(c_member(_u4043), _u4045), _u4044)) | ( hAPP(c_Finite__Set_Ocard(_u4043), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4043, tc_HOL_Obool)), _u4044), hAPP(hAPP(c_Set_Oinsert(_u4043), _u4045), c_Orderings_Obot__class_Obot(tc_fun(_u4043, tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(_u4043), _u4044)) )).
% 12.54/12.77 cnf(matrix-2412, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4046), _u4047)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4046), _u4047)), hAPP(c_Finite__Set_Ocard(_u4046), hAPP(hAPP(c_Set_Oinsert(_u4046), _u4048), _u4047)))) )).
% 12.54/12.77 cnf(matrix-2413, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4049), _u4050)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4049, tc_HOL_Obool)), _u4051), _u4050)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4049), _u4050)), hAPP(c_Finite__Set_Ocard(_u4049), _u4051))) | ( _u4051 = _u4050) )).
% 12.54/12.77 cnf(matrix-2414, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4052), _u4053)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4052, tc_HOL_Obool)), _u4054), _u4053)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4052), _u4054)), hAPP(c_Finite__Set_Ocard(_u4052), _u4053))) )).
% 12.54/12.77 cnf(matrix-2415, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4055), _u4056)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4057), hAPP(c_Set_Oimage(_u4055, _u4057, _u4058), _u4056))), hAPP(c_Finite__Set_Ocard(_u4055), _u4056))) )).
% 12.54/12.77 cnf(matrix-2416, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4059), _u4060)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4059, tc_HOL_Obool)), _u4061), _u4060)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4059), _u4061)), hAPP(c_Finite__Set_Ocard(_u4059), _u4060))) )).
% 12.54/12.77 cnf(matrix-2417, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4062), _u4063)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4062), _u4064)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4062), _u4063)), hAPP(c_Finite__Set_Ocard(_u4062), _u4064)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4062), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4062, tc_HOL_Obool)), _u4063), _u4064))), hAPP(c_Finite__Set_Ocard(_u4062), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4062, tc_HOL_Obool)), _u4063), _u4064)))) )).
% 12.54/12.77 cnf(matrix-2418, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4065), _u4066)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4065), _u4067)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4065), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4065, tc_HOL_Obool)), _u4066), _u4067))), hAPP(c_Finite__Set_Ocard(_u4065), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4065, tc_HOL_Obool)), _u4066), _u4067))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4065), _u4066)), hAPP(c_Finite__Set_Ocard(_u4065), _u4067))) )).
% 12.54/12.77 cnf(matrix-2419, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4068), _u4069)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4068, tc_HOL_Obool)), _u4069), _u4070)) | ( hAPP(c_Finite__Set_Ocard(_u4068), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4068, tc_HOL_Obool)), _u4070), _u4069)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4068), _u4070)), hAPP(c_Finite__Set_Ocard(_u4068), _u4069))) )).
% 12.54/12.77 cnf(matrix-2420, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4071), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4071, tc_HOL_Obool)), _u4072), _u4073))) | ( hAPP(c_Finite__Set_Ocard(_u4071), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4071, tc_HOL_Obool)), _u4072), _u4073)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4071), _u4072)), hAPP(c_Finite__Set_Ocard(_u4071), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4071, tc_HOL_Obool)), _u4072), _u4073)))) )).
% 12.54/12.77 cnf(matrix-2421, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4074), _u4075)) | 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(_u4074), _u4076)), hAPP(c_Finite__Set_Ocard(_u4074), _u4075))), hAPP(c_Finite__Set_Ocard(_u4074), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4074, tc_HOL_Obool)), _u4076), _u4075)))) )).
% 12.54/12.77 cnf(matrix-2422, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4077), _u4078)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4077, tc_HOL_Obool)), _u4079), _u4078)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4077), _u4079)), hAPP(c_Finite__Set_Ocard(_u4077), _u4078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4077, tc_HOL_Obool)), _u4079), _u4078)) )).
% 12.54/12.77 cnf(matrix-2423, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4080), _u4081)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4080), _u4082)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4080, tc_HOL_Obool)), _u4081), _u4082) != c_Orderings_Obot__class_Obot(tc_fun(_u4080, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ocard(_u4080), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4080, tc_HOL_Obool)), _u4081), _u4082)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4080), _u4081)), hAPP(c_Finite__Set_Ocard(_u4080), _u4082))) )).
% 12.54/12.77 cnf(matrix-2424, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4083), _u4084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4083), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4083, tc_HOL_Obool)), _u4084), hAPP(hAPP(c_Set_Oinsert(_u4083), _u4085), c_Orderings_Obot__class_Obot(tc_fun(_u4083, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u4083), _u4084))) )).
% 12.54/12.77 cnf(matrix-2425, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4087) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4088), _u4089)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4088), _u4090)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4088, _u4087), _u4091), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4088, tc_HOL_Obool)), _u4089), _u4090)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4087), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4088, _u4087), _u4091), _u4089)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4088, _u4087), _u4091), _u4090))) | hBOOL(hAPP(hAPP(c_member(_u4088), skolem97(_u4091, _u4090, _u4089, _u4088, _u4087)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4088, tc_HOL_Obool)), _u4089), _u4090))) )).
% 12.54/12.77 cnf(matrix-2426, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4087) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4088), _u4089)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4088), _u4090)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4088, _u4087), _u4091), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4088, tc_HOL_Obool)), _u4089), _u4090)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4087), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4088, _u4087), _u4091), _u4089)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4088, _u4087), _u4091), _u4090))) | ( hAPP(_u4091, skolem97(_u4091, _u4090, _u4089, _u4088, _u4087)) != c_Groups_Oone__class_Oone(_u4087)) )).
% 12.54/12.77 cnf(matrix-2427, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4093) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4094), _u4095)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4094), _u4096)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4094, _u4093), _u4097), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4094, tc_HOL_Obool)), _u4095), _u4096)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4093), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4094, _u4093), _u4097), _u4095)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4094, _u4093), _u4097), _u4096))) | hBOOL(hAPP(hAPP(c_member(_u4094), skolem98(_u4097, _u4096, _u4095, _u4094, _u4093)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4094, tc_HOL_Obool)), _u4095), _u4096))) )).
% 12.54/12.77 cnf(matrix-2428, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4093) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4094), _u4095)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4094), _u4096)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4094, _u4093), _u4097), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4094, tc_HOL_Obool)), _u4095), _u4096)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4093), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4094, _u4093), _u4097), _u4095)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4094, _u4093), _u4097), _u4096))) | ( hAPP(_u4097, skolem98(_u4097, _u4096, _u4095, _u4094, _u4093)) != c_Groups_Oone__class_Oone(_u4093)) )).
% 12.54/12.77 cnf(matrix-2429, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4098) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4099), _u4100)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4099), _u4101)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4099, tc_HOL_Obool)), _u4100), _u4101) != c_Orderings_Obot__class_Obot(tc_fun(_u4099, tc_HOL_Obool))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4098, _u4099, c_Groups_Otimes__class_Otimes(_u4098)), _u4102), c_Groups_Oone__class_Oone(_u4098)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4099, tc_HOL_Obool)), _u4100), _u4101)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4098), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4098, _u4099, c_Groups_Otimes__class_Otimes(_u4098)), _u4102), c_Groups_Oone__class_Oone(_u4098)), _u4100)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4098, _u4099, c_Groups_Otimes__class_Otimes(_u4098)), _u4102), c_Groups_Oone__class_Oone(_u4098)), _u4101))) )).
% 12.54/12.77 cnf(matrix-2430, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4104) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4105), _u4106)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4105, tc_HOL_Obool)), _u4107), _u4106)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4105, _u4104), _u4108), _u4106) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4105, _u4104), _u4108), _u4107)) | hBOOL(hAPP(hAPP(c_member(_u4105), skolem99(_u4108, _u4107, _u4106, _u4105, _u4104)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4105, tc_HOL_Obool)), _u4106), _u4107))) )).
% 12.54/12.77 cnf(matrix-2431, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4104) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4105), _u4106)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4105, tc_HOL_Obool)), _u4107), _u4106)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4105, _u4104), _u4108), _u4106) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4105, _u4104), _u4108), _u4107)) | ( hAPP(_u4108, skolem99(_u4108, _u4107, _u4106, _u4105, _u4104)) != c_Groups_Oone__class_Oone(_u4104)) )).
% 12.54/12.77 cnf(matrix-2432, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4110) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4111), _u4112)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4111, tc_HOL_Obool)), _u4113), _u4112)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4111, _u4110), _u4114), _u4113) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4111, _u4110), _u4114), _u4112)) | hBOOL(hAPP(hAPP(c_member(_u4111), skolem100(_u4114, _u4113, _u4112, _u4111, _u4110)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4111, tc_HOL_Obool)), _u4112), _u4113))) )).
% 12.54/12.77 cnf(matrix-2433, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4110) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4111), _u4112)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4111, tc_HOL_Obool)), _u4113), _u4112)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4111, _u4110), _u4114), _u4113) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4111, _u4110), _u4114), _u4112)) | ( hAPP(_u4114, skolem100(_u4114, _u4113, _u4112, _u4111, _u4110)) != c_Groups_Oone__class_Oone(_u4110)) )).
% 12.54/12.77 cnf(matrix-2434, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4115), _u4116)) | ~hBOOL(hAPP(hAPP(c_member(_u4115), _u4117), _u4116)) | ( hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u4115), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4115, tc_HOL_Obool)), _u4116), hAPP(hAPP(c_Set_Oinsert(_u4115), _u4117), c_Orderings_Obot__class_Obot(tc_fun(_u4115, tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(_u4115), _u4116)) )).
% 12.54/12.77 cnf(matrix-2435, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4118) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4119), _u4120)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4119), _u4121)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4118), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4118, _u4119, c_Groups_Otimes__class_Otimes(_u4118)), _u4122), c_Groups_Oone__class_Oone(_u4118)), _u4120)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4118, _u4119, c_Groups_Otimes__class_Otimes(_u4118)), _u4122), c_Groups_Oone__class_Oone(_u4118)), _u4121)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4118), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4118, _u4119, c_Groups_Otimes__class_Otimes(_u4118)), _u4122), c_Groups_Oone__class_Oone(_u4118)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4119, tc_HOL_Obool)), _u4120), _u4121))), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4118, _u4119, c_Groups_Otimes__class_Otimes(_u4118)), _u4122), c_Groups_Oone__class_Oone(_u4118)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4119, tc_HOL_Obool)), _u4120), _u4121)))) )).
% 12.54/12.77 cnf(matrix-2436, plain, ( ~class_Rings_Olinordered__semiring__1__strict(_u4123) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4123), _u4124), _u4125)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4123), _u4126), _u4125)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4123), c_Groups_Ozero__class_Ozero(_u4123)), _u4127)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4123), c_Groups_Ozero__class_Ozero(_u4123)), _u4128)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4123), _u4127), _u4128) != c_Groups_Oone__class_Oone(_u4123)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4123), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4123), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4123), _u4127), _u4124)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4123), _u4128), _u4126))), _u4125)) )).
% 12.54/12.77 cnf(matrix-2437, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4129), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.77 cnf(matrix-2438, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4130)) )).
% 12.54/12.77 cnf(matrix-2439, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Nat_OSuc, _u4131))) )).
% 12.54/12.77 cnf(matrix-2440, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4132), _u4133)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4132)), hAPP(c_Nat_OSuc, _u4133))) )).
% 12.54/12.77 cnf(matrix-2441, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4134), hAPP(c_Nat_OSuc, _u4134))) )).
% 12.54/12.77 cnf(matrix-2442, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.77 cnf(matrix-2443, plain, ( ~class_Groups_Ocomm__monoid__add(_u4135) | ( hAPP(_u4136, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(_u4135)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4135), _u4136), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4137)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4135), _u4136), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4137))) )).
% 12.54/12.77 cnf(matrix-2444, plain, ( ~class_Groups_Ozero(_u4138) | ( c_Groups_Ozero__class_Ozero(_u4138) != _u4139) | ( _u4139 = c_Groups_Ozero__class_Ozero(_u4138)) )).
% 12.54/12.77 cnf(matrix-2445, plain, ( ~class_Groups_Ozero(_u4138) | ( _u4139 != c_Groups_Ozero__class_Ozero(_u4138)) | ( c_Groups_Ozero__class_Ozero(_u4138) = _u4139) )).
% 12.54/12.77 cnf(matrix-2446, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4140)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u4140)) )).
% 12.54/12.77 cnf(matrix-2447, plain, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4141)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u4141)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4141)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 12.54/12.77 cnf(matrix-2448, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4142)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), _u4142)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u4142), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 12.54/12.77 cnf(matrix-2449, plain, ( ( hAPP(_u4143, 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), _u4143), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4144)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u4143), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u4144))) )).
% 12.54/12.77 cnf(matrix-2450, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4145)) = 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), _u4145)))) )).
% 12.54/12.77 cnf(matrix-2451, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u4146)) )).
% 12.54/12.77 cnf(matrix-2452, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u4147)) )).
% 12.54/12.77 cnf(matrix-2453, plain, ( ( _u4148 != hAPP(c_Nat_OSuc, _u4148)) )).
% 12.54/12.77 cnf(matrix-2454, plain, ( ( hAPP(c_Nat_OSuc, _u4149) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2455, plain, ( ( hAPP(c_Nat_OSuc, _u4150) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2456, plain, ( ( hAPP(c_Nat_OSuc, _u4151) != _u4151) )).
% 12.54/12.77 cnf(matrix-2457, plain, ( ( hAPP(c_Nat_OSuc, _u4154) != hAPP(c_Nat_OSuc, _u4156)) | ( _u4154 = _u4156) )).
% 12.54/12.77 cnf(matrix-2458, plain, ( ( _u4155 != _u4157) | ( hAPP(c_Nat_OSuc, _u4155) = hAPP(c_Nat_OSuc, _u4157)) )).
% 12.54/12.77 cnf(matrix-2459, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u4158)) )).
% 12.54/12.77 cnf(matrix-2460, plain, ( ( hAPP(c_Nat_OSuc, _u4159) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2461, plain, ( ( hAPP(c_Nat_OSuc, _u4160) != hAPP(c_Nat_OSuc, _u4161)) | ( _u4160 = _u4161) )).
% 12.54/12.77 cnf(matrix-2462, plain, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.54/12.77 cnf(matrix-2463, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4164), _u4166) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4164 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.77 cnf(matrix-2464, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4164), _u4166) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4166 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.77 cnf(matrix-2465, plain, ( ( _u4165 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4167 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4165), _u4167) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.77 cnf(matrix-2466, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4172), hAPP(c_Nat_OSuc, _u4174))) | ( _u4172 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4172 = hAPP(c_Nat_OSuc, skolem101(_u4174, _u4172))) )).
% 12.54/12.77 cnf(matrix-2467, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4172), hAPP(c_Nat_OSuc, _u4174))) | ( _u4172 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem101(_u4174, _u4172)), _u4174)) )).
% 12.54/12.77 cnf(matrix-2468, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4173), hAPP(c_Nat_OSuc, _u4175))) | ( _u4173 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2469, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4173), hAPP(c_Nat_OSuc, _u4175))) | ( _u4173 != hAPP(c_Nat_OSuc, _u4169)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4169), _u4175)) )).
% 12.54/12.77 cnf(matrix-2470, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4177), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u4177 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2471, plain, ( ( _u4178 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4178), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.54/12.77 cnf(matrix-2472, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4182)) | ( _u4182 = hAPP(c_Nat_OSuc, skolem102(_u4182))) )).
% 12.54/12.77 cnf(matrix-2473, plain, ( ( _u4183 != hAPP(c_Nat_OSuc, _u4180)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4183)) )).
% 12.54/12.77 cnf(matrix-2474, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4186), _u4188)) | ( _u4186 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4186 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2475, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4186), _u4188)) | ( _u4186 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4188 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.77 cnf(matrix-2476, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4186), _u4188)) | ( _u4188 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4186 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2477, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4186), _u4188)) | ( _u4188 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4188 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.77 cnf(matrix-2478, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4187), _u4189)) | ( _u4187 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4189 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2479, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4187), _u4189)) | ( _u4187 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4189 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.77 cnf(matrix-2480, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4192), _u4194) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4192 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4192 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2481, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4192), _u4194) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4192 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4194 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.77 cnf(matrix-2482, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4192), _u4194) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4194 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4192 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2483, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4192), _u4194) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4194 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4194 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.77 cnf(matrix-2484, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4193), _u4195) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4193 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4195 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2485, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4193), _u4195) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4193 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4195 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.77 cnf(matrix-2486, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4196)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4196), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = _u4196) )).
% 12.54/12.77 cnf(matrix-2487, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4197)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4197), hAPP(c_Nat_OSuc, _u4198))), _u4197)) )).
% 12.54/12.77 cnf(matrix-2488, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4199)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4200)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4199), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4200), _u4199))) )).
% 12.54/12.77 cnf(matrix-2489, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4201)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4202)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4201), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4201), _u4202))) )).
% 12.54/12.77 cnf(matrix-2490, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4203)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4204)) | 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), _u4204), _u4203))) )).
% 12.54/12.77 cnf(matrix-2491, 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), _u4207), _u4209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4207)) )).
% 12.54/12.77 cnf(matrix-2492, 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), _u4207), _u4209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4209)) )).
% 12.54/12.77 cnf(matrix-2493, 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))), _u4208)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4210)) | 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), _u4208), _u4210))) )).
% 12.54/12.77 cnf(matrix-2494, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4215), _u4216)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4215, tc_Nat_Onat), _u4217), _u4216) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u4215), skolem103(_u4217, _u4216, _u4215)), _u4216)) )).
% 12.54/12.77 cnf(matrix-2495, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4215), _u4216)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4215, tc_Nat_Onat), _u4217), _u4216) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u4217, skolem103(_u4217, _u4216, _u4215)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.77 cnf(matrix-2496, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4215), _u4216)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4215, tc_Nat_Onat), _u4217), _u4216) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u4215), _u4211), _u4216)) | ( skolem103(_u4217, _u4216, _u4215) = _u4211) | ( hAPP(_u4217, _u4211) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2497, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4215), _u4216)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4215, tc_Nat_Onat), _u4217), _u4216) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u4215), _u4214), _u4216)) | ( hAPP(_u4217, _u4214) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u4215), skolem104(_u4217, _u4216, _u4215, _u4214)), _u4216)) )).
% 12.54/12.77 cnf(matrix-2498, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4215), _u4216)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4215, tc_Nat_Onat), _u4217), _u4216) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u4215), _u4214), _u4216)) | ( hAPP(_u4217, _u4214) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4214 != skolem104(_u4217, _u4216, _u4215, _u4214)) )).
% 12.54/12.77 cnf(matrix-2499, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4215), _u4216)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4215, tc_Nat_Onat), _u4217), _u4216) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u4215), _u4214), _u4216)) | ( hAPP(_u4217, _u4214) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u4217, skolem104(_u4217, _u4216, _u4215, _u4214)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2500, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4220), _u4222)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4222), hAPP(c_Nat_OSuc, _u4220))) )).
% 12.54/12.77 cnf(matrix-2501, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4223), hAPP(c_Nat_OSuc, _u4221))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4221), _u4223)) )).
% 12.54/12.77 cnf(matrix-2502, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4226), hAPP(c_Nat_OSuc, _u4228))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4226), _u4228)) | ( _u4226 = _u4228) )).
% 12.54/12.77 cnf(matrix-2503, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4227), hAPP(c_Nat_OSuc, _u4229))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4227), _u4229)) )).
% 12.54/12.77 cnf(matrix-2504, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4227), hAPP(c_Nat_OSuc, _u4229))) | ( _u4227 != _u4229) )).
% 12.54/12.77 cnf(matrix-2505, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4232)), hAPP(c_Nat_OSuc, _u4234))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4232), _u4234)) )).
% 12.54/12.77 cnf(matrix-2506, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4233), _u4235)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4233)), hAPP(c_Nat_OSuc, _u4235))) )).
% 12.54/12.77 cnf(matrix-2507, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4236), _u4237)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4236), hAPP(c_Nat_OSuc, _u4237))) | ( _u4236 = _u4237) )).
% 12.54/12.77 cnf(matrix-2508, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4236), _u4237)) | ( _u4236 != _u4237) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4236), hAPP(c_Nat_OSuc, _u4237))) )).
% 12.54/12.77 cnf(matrix-2509, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4238), _u4239)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4238), hAPP(c_Nat_OSuc, _u4239))) | ( _u4239 = _u4238) )).
% 12.54/12.77 cnf(matrix-2510, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4240), _u4241)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4240), hAPP(c_Nat_OSuc, _u4241))) )).
% 12.54/12.77 cnf(matrix-2511, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4242), _u4243)) | ( hAPP(c_Nat_OSuc, _u4242) = _u4243) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4242)), _u4243)) )).
% 12.54/12.77 cnf(matrix-2512, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4244), _u4245)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4245), _u4246)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4244)), _u4246)) )).
% 12.54/12.77 cnf(matrix-2513, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4247), hAPP(c_Nat_OSuc, _u4248))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4247), _u4248)) | ( _u4247 = _u4248) )).
% 12.54/12.77 cnf(matrix-2514, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4249)), _u4250)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4249), _u4250)) )).
% 12.54/12.77 cnf(matrix-2515, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4251)), hAPP(c_Nat_OSuc, _u4252))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4251), _u4252)) )).
% 12.54/12.77 cnf(matrix-2516, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4253)), _u4254) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4253), hAPP(c_Nat_OSuc, _u4254))) )).
% 12.54/12.77 cnf(matrix-2517, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4255)), _u4256) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4255), _u4256))) )).
% 12.54/12.77 cnf(matrix-2518, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4257), hAPP(c_Nat_OSuc, _u4258)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4257), _u4258))) )).
% 12.54/12.77 cnf(matrix-2519, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4259)), _u4259)) )).
% 12.54/12.77 cnf(matrix-2520, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4262), _u4264)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4264)), _u4262)) )).
% 12.54/12.77 cnf(matrix-2521, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4265)), _u4263)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4263), _u4265)) )).
% 12.54/12.77 cnf(matrix-2522, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4268), hAPP(c_Nat_OSuc, _u4270))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4268), _u4270)) | ( _u4268 = hAPP(c_Nat_OSuc, _u4270)) )).
% 12.54/12.77 cnf(matrix-2523, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4269), hAPP(c_Nat_OSuc, _u4271))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4269), _u4271)) )).
% 12.54/12.77 cnf(matrix-2524, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4269), hAPP(c_Nat_OSuc, _u4271))) | ( _u4269 != hAPP(c_Nat_OSuc, _u4271)) )).
% 12.54/12.77 cnf(matrix-2525, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4274)), hAPP(c_Nat_OSuc, _u4276))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4274), _u4276)) )).
% 12.54/12.77 cnf(matrix-2526, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4275), _u4277)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4275)), hAPP(c_Nat_OSuc, _u4277))) )).
% 12.54/12.77 cnf(matrix-2527, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4278), _u4279)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4278), hAPP(c_Nat_OSuc, _u4279))) )).
% 12.54/12.77 cnf(matrix-2528, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4280), hAPP(c_Nat_OSuc, _u4281))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4280), _u4281)) | ( _u4280 = hAPP(c_Nat_OSuc, _u4281)) )).
% 12.54/12.77 cnf(matrix-2529, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4282)), _u4283)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4282), _u4283)) )).
% 12.54/12.77 cnf(matrix-2530, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4284)), hAPP(c_Nat_OSuc, _u4285)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4284), _u4285)) )).
% 12.54/12.77 cnf(matrix-2531, 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, _u4286)), _u4287)), hAPP(c_Nat_OSuc, _u4288)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4286), _u4287)), _u4288)) )).
% 12.54/12.77 cnf(matrix-2532, plain, ( ( _u4294 = _u4296) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4292)), _u4294) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4292)), _u4296)) )).
% 12.54/12.77 cnf(matrix-2533, plain, ( ( _u4295 != _u4297) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4293)), _u4295) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4293)), _u4297)) )).
% 12.54/12.77 cnf(matrix-2534, plain, ( ~class_Groups_Omonoid__add(_u4298) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4298), c_Groups_Ozero__class_Ozero(_u4298)), _u4299) = _u4299) )).
% 12.54/12.77 cnf(matrix-2535, plain, ( ~class_Groups_Ocomm__monoid__add(_u4300) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4300), c_Groups_Ozero__class_Ozero(_u4300)), _u4301) = _u4301) )).
% 12.54/12.77 cnf(matrix-2536, plain, ( ~class_Groups_Olinordered__ab__group__add(_u4302) | ( c_Groups_Ozero__class_Ozero(_u4302) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4302), _u4303), _u4303)) | ( _u4303 = c_Groups_Ozero__class_Ozero(_u4302)) )).
% 12.54/12.77 cnf(matrix-2537, plain, ( ~class_Groups_Olinordered__ab__group__add(_u4302) | ( _u4303 != c_Groups_Ozero__class_Ozero(_u4302)) | ( c_Groups_Ozero__class_Ozero(_u4302) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4302), _u4303), _u4303)) )).
% 12.54/12.77 cnf(matrix-2538, plain, ( ~class_Groups_Omonoid__add(_u4304) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4304), _u4305), c_Groups_Ozero__class_Ozero(_u4304)) = _u4305) )).
% 12.54/12.77 cnf(matrix-2539, plain, ( ~class_Groups_Ocomm__monoid__add(_u4306) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4306), _u4307), c_Groups_Ozero__class_Ozero(_u4306)) = _u4307) )).
% 12.54/12.77 cnf(matrix-2540, plain, ( ~class_Rings_Ocomm__semiring__1(_u4308) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4308), c_Groups_Ozero__class_Ozero(_u4308)), _u4309) = _u4309) )).
% 12.54/12.77 cnf(matrix-2541, plain, ( ~class_Rings_Ocomm__semiring__1(_u4310) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4310), _u4311), c_Groups_Ozero__class_Ozero(_u4310)) = _u4311) )).
% 12.54/12.77 cnf(matrix-2542, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u4312) | ( _u4313 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4312), _u4313), _u4314)) | ( _u4314 = c_Groups_Ozero__class_Ozero(_u4312)) )).
% 12.54/12.77 cnf(matrix-2543, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u4312) | ( _u4314 != c_Groups_Ozero__class_Ozero(_u4312)) | ( _u4313 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4312), _u4313), _u4314)) )).
% 12.54/12.77 cnf(matrix-2544, plain, ( ~class_Rings_Ono__zero__divisors(_u4315) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4315), _u4316), _u4317) != c_Groups_Ozero__class_Ozero(_u4315)) | ( _u4316 = c_Groups_Ozero__class_Ozero(_u4315)) | ( _u4317 = c_Groups_Ozero__class_Ozero(_u4315)) )).
% 12.54/12.77 cnf(matrix-2545, plain, ( ~class_Rings_Ono__zero__divisors(_u4318) | ( _u4319 = c_Groups_Ozero__class_Ozero(_u4318)) | ( _u4320 = c_Groups_Ozero__class_Ozero(_u4318)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4318), _u4319), _u4320) != c_Groups_Ozero__class_Ozero(_u4318)) )).
% 12.54/12.77 cnf(matrix-2546, plain, ( ~class_Rings_Oring__no__zero__divisors(_u4321) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4321), _u4322), _u4323) != c_Groups_Ozero__class_Ozero(_u4321)) | ( _u4322 = c_Groups_Ozero__class_Ozero(_u4321)) | ( _u4323 = c_Groups_Ozero__class_Ozero(_u4321)) )).
% 12.54/12.77 cnf(matrix-2547, plain, ( ~class_Rings_Oring__no__zero__divisors(_u4321) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4321), _u4322), _u4323) = c_Groups_Ozero__class_Ozero(_u4321)) | ( _u4322 != c_Groups_Ozero__class_Ozero(_u4321)) )).
% 12.54/12.77 cnf(matrix-2548, plain, ( ~class_Rings_Oring__no__zero__divisors(_u4321) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4321), _u4322), _u4323) = c_Groups_Ozero__class_Ozero(_u4321)) | ( _u4323 != c_Groups_Ozero__class_Ozero(_u4321)) )).
% 12.54/12.77 cnf(matrix-2549, plain, ( ~class_Rings_Omult__zero(_u4324) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4324), _u4325), c_Groups_Ozero__class_Ozero(_u4324)) = c_Groups_Ozero__class_Ozero(_u4324)) )).
% 12.54/12.77 cnf(matrix-2550, plain, ( ~class_Rings_Omult__zero(_u4326) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4326), c_Groups_Ozero__class_Ozero(_u4326)), _u4327) = c_Groups_Ozero__class_Ozero(_u4326)) )).
% 12.54/12.77 cnf(matrix-2551, plain, ( ~class_Rings_Ocomm__semiring__1(_u4328) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4328), c_Groups_Ozero__class_Ozero(_u4328)), _u4329) = c_Groups_Ozero__class_Ozero(_u4328)) )).
% 12.54/12.77 cnf(matrix-2552, plain, ( ~class_Rings_Ocomm__semiring__1(_u4330) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4330), _u4331), c_Groups_Ozero__class_Ozero(_u4330)) = c_Groups_Ozero__class_Ozero(_u4330)) )).
% 12.54/12.77 cnf(matrix-2553, plain, ( ~class_Groups_Ogroup__add(_u4332) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4332), _u4333), _u4334) != c_Groups_Ozero__class_Ozero(_u4332)) | ( _u4333 = _u4334) )).
% 12.54/12.77 cnf(matrix-2554, plain, ( ~class_Groups_Ogroup__add(_u4332) | ( _u4333 != _u4334) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4332), _u4333), _u4334) = c_Groups_Ozero__class_Ozero(_u4332)) )).
% 12.54/12.77 cnf(matrix-2555, plain, ( ~class_Groups_Oab__group__add(_u4335) | ( _u4336 != _u4337) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4335), _u4336), _u4337) = c_Groups_Ozero__class_Ozero(_u4335)) )).
% 12.54/12.77 cnf(matrix-2556, plain, ( ~class_Groups_Oab__group__add(_u4335) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4335), _u4336), _u4337) != c_Groups_Ozero__class_Ozero(_u4335)) | ( _u4336 = _u4337) )).
% 12.54/12.77 cnf(matrix-2557, plain, ( ~class_Groups_Ogroup__add(_u4338) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4338), _u4339), _u4339) = c_Groups_Ozero__class_Ozero(_u4338)) )).
% 12.54/12.77 cnf(matrix-2558, plain, ( ~class_Groups_Ogroup__add(_u4340) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4340), _u4341), c_Groups_Ozero__class_Ozero(_u4340)) = _u4341) )).
% 12.54/12.77 cnf(matrix-2559, plain, ( ~class_Rings_Ozero__neq__one(_u4342) | ( c_Groups_Oone__class_Oone(_u4342) != c_Groups_Ozero__class_Ozero(_u4342)) )).
% 12.54/12.77 cnf(matrix-2560, plain, ( ~class_Rings_Ozero__neq__one(_u4343) | ( c_Groups_Ozero__class_Ozero(_u4343) != c_Groups_Oone__class_Oone(_u4343)) )).
% 12.54/12.77 cnf(matrix-2561, plain, ( ~class_Groups_Ogroup__add(_u4344) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4344), c_Groups_Ozero__class_Ozero(_u4344)) = c_Groups_Ozero__class_Ozero(_u4344)) )).
% 12.54/12.77 cnf(matrix-2562, plain, ( ~class_Groups_Ogroup__add(_u4345) | ( c_Groups_Ozero__class_Ozero(_u4345) != hAPP(c_Groups_Ouminus__class_Ouminus(_u4345), _u4346)) | ( c_Groups_Ozero__class_Ozero(_u4345) = _u4346) )).
% 12.54/12.77 cnf(matrix-2563, plain, ( ~class_Groups_Ogroup__add(_u4345) | ( c_Groups_Ozero__class_Ozero(_u4345) != _u4346) | ( c_Groups_Ozero__class_Ozero(_u4345) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4345), _u4346)) )).
% 12.54/12.77 cnf(matrix-2564, plain, ( ~class_Groups_Olinordered__ab__group__add(_u4347) | ( _u4348 != hAPP(c_Groups_Ouminus__class_Ouminus(_u4347), _u4348)) | ( _u4348 = c_Groups_Ozero__class_Ozero(_u4347)) )).
% 12.54/12.77 cnf(matrix-2565, plain, ( ~class_Groups_Olinordered__ab__group__add(_u4347) | ( _u4348 != c_Groups_Ozero__class_Ozero(_u4347)) | ( _u4348 = hAPP(c_Groups_Ouminus__class_Ouminus(_u4347), _u4348)) )).
% 12.54/12.77 cnf(matrix-2566, plain, ( ~class_Groups_Ogroup__add(_u4349) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4349), _u4350) != c_Groups_Ozero__class_Ozero(_u4349)) | ( _u4350 = c_Groups_Ozero__class_Ozero(_u4349)) )).
% 12.54/12.77 cnf(matrix-2567, plain, ( ~class_Groups_Ogroup__add(_u4349) | ( _u4350 != c_Groups_Ozero__class_Ozero(_u4349)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4349), _u4350) = c_Groups_Ozero__class_Ozero(_u4349)) )).
% 12.54/12.77 cnf(matrix-2568, plain, ( ~class_Groups_Olinordered__ab__group__add(_u4351) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4351), _u4352) != _u4352) | ( _u4352 = c_Groups_Ozero__class_Ozero(_u4351)) )).
% 12.54/12.77 cnf(matrix-2569, plain, ( ~class_Groups_Olinordered__ab__group__add(_u4351) | ( _u4352 != c_Groups_Ozero__class_Ozero(_u4351)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4351), _u4352) = _u4352) )).
% 12.54/12.77 cnf(matrix-2570, plain, ( ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4353, _u4354, _u4355), _u4356), _u4357), c_Orderings_Obot__class_Obot(tc_fun(_u4354, tc_HOL_Obool))) = _u4357) )).
% 12.54/12.77 cnf(matrix-2571, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4358), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.77 cnf(matrix-2572, plain, ( ( _u4360 = 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)), _u4360)) )).
% 12.54/12.77 cnf(matrix-2573, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4361)) | ( _u4361 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2574, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4362), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.77 cnf(matrix-2575, plain, ( ( _u4364 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4363), _u4364)) )).
% 12.54/12.77 cnf(matrix-2576, plain, ( ( _u4365 = 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)), _u4365)) )).
% 12.54/12.77 cnf(matrix-2577, plain, ( ( _u4367 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4366), _u4367) != _u4366) )).
% 12.54/12.77 cnf(matrix-2578, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4370), _u4372) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4370 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2579, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4370), _u4372) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4372 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2580, plain, ( ( _u4371 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4373 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4371), _u4373) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2581, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4374), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u4374) )).
% 12.54/12.77 cnf(matrix-2582, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4375) = _u4375) )).
% 12.54/12.77 cnf(matrix-2583, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u4376), hAPP(c_Nat_OSuc, _u4376)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u4376), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.54/12.77 cnf(matrix-2584, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u4377), _u4378)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u4377)), hAPP(c_Nat_OSuc, _u4378))) )).
% 12.54/12.77 cnf(matrix-2585, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4379)) )).
% 12.54/12.77 cnf(matrix-2586, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4381), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4381 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2587, plain, ( ( _u4382 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4382), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.77 cnf(matrix-2588, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4383) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2589, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4384), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u4384) )).
% 12.54/12.77 cnf(matrix-2590, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4385), _u4385) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2591, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4386), _u4387) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4387), _u4386) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4386 = _u4387) )).
% 12.54/12.77 cnf(matrix-2592, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4391), _u4393) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4395), _u4393)) | ( _u4391 = _u4395) | ( _u4393 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2593, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4392), _u4394) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4396), _u4394)) | ( _u4392 != _u4396) )).
% 12.54/12.77 cnf(matrix-2594, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4392), _u4394) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4396), _u4394)) | ( _u4394 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2595, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4400), _u4402) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4400), _u4404)) | ( _u4402 = _u4404) | ( _u4400 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2596, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4401), _u4403) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4401), _u4405)) | ( _u4403 != _u4405) )).
% 12.54/12.77 cnf(matrix-2597, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4401), _u4403) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4401), _u4405)) | ( _u4401 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2598, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4408), _u4410) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4408 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4410 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2599, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4409), _u4411) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4409 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2600, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4409), _u4411) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4411 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2601, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4412), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2602, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4413) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2603, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4417), _u4419) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4417), _u4421)) | ( _u4417 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4419 = _u4421) )).
% 12.54/12.77 cnf(matrix-2604, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4418), _u4420) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4418), _u4422)) | ( _u4418 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2605, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4418), _u4420) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4418), _u4422)) | ( _u4420 != _u4422) )).
% 12.54/12.77 cnf(matrix-2606, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4423, _u4424)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u4423), hAPP(c_Nat_OSuc, _u4424))) )).
% 12.54/12.77 cnf(matrix-2607, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4425)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u4425), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u4425))) )).
% 12.54/12.77 cnf(matrix-2608, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u4426), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.54/12.77 cnf(matrix-2609, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4427)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4427)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u4427))) )).
% 12.54/12.77 cnf(matrix-2610, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u4428)) = hAPP(c_Nat_OSuc, _u4428)) )).
% 12.54/12.77 cnf(matrix-2611, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.54/12.77 cnf(matrix-2612, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.54/12.77 cnf(matrix-2613, plain, ( ~class_Groups_Ocomm__monoid__add(_u4429) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4430), _u4431)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4430, _u4429), _u4432), _u4431) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4429, _u4430, c_Groups_Oplus__class_Oplus(_u4429)), _u4432), c_Groups_Ozero__class_Ozero(_u4429)), _u4431)) )).
% 12.54/12.77 cnf(matrix-2614, plain, ( ~class_Groups_Ocomm__monoid__add(_u4433) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4434), _u4435)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4434, _u4433), _u4436), _u4435) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4433, _u4434, c_Groups_Oplus__class_Oplus(_u4433)), _u4436), c_Groups_Ozero__class_Ozero(_u4433)), _u4435)) )).
% 12.54/12.77 cnf(matrix-2615, plain, ( ~class_Groups_Ocomm__monoid__add(_u4433) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4434), _u4435)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4434, _u4433), _u4436), _u4435) = c_Groups_Ozero__class_Ozero(_u4433)) )).
% 12.54/12.77 cnf(matrix-2616, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4437)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4437), c_Groups_Oone__class_Oone(tc_Nat_Onat))) = _u4437) )).
% 12.54/12.77 cnf(matrix-2617, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.54/12.77 cnf(matrix-2618, plain, ( ~class_Groups_Ocomm__monoid__add(_u4438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4439), _u4440)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4438), _u4441), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u4440), hAPP(c_Nat_OSuc, _u4439))) = c_Groups_Ozero__class_Ozero(_u4438)) )).
% 12.54/12.77 cnf(matrix-2619, plain, ( ~class_Groups_Ocomm__monoid__add(_u4438) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4439), _u4440)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4438), _u4441), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u4440), hAPP(c_Nat_OSuc, _u4439))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4438), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4438), _u4441), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u4440), _u4439))), hAPP(_u4441, _u4439))) )).
% 12.54/12.77 cnf(matrix-2620, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4442), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4442), _u4443)))) )).
% 12.54/12.77 cnf(matrix-2621, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4444), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4445), _u4444)))) )).
% 12.54/12.77 cnf(matrix-2622, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4450), _u4452)) | ( _u4452 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4450), skolem105(_u4452, _u4450)))) )).
% 12.54/12.77 cnf(matrix-2623, plain, ( ( _u4453 != hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4451), _u4447))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4451), _u4453)) )).
% 12.54/12.77 cnf(matrix-2624, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4456), _u4458)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4456)), _u4458)) )).
% 12.54/12.77 cnf(matrix-2625, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4457)), _u4459)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4457), _u4459)) )).
% 12.54/12.77 cnf(matrix-2626, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4462), hAPP(c_Nat_OSuc, _u4464))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4462), _u4464)) )).
% 12.54/12.77 cnf(matrix-2627, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4463), _u4465)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4463), hAPP(c_Nat_OSuc, _u4465))) )).
% 12.54/12.77 cnf(matrix-2628, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4468)), _u4470)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4468), _u4470)) )).
% 12.54/12.77 cnf(matrix-2629, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4469), _u4471)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4469)), _u4471)) )).
% 12.54/12.77 cnf(matrix-2630, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4472), _u4473)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4472), hAPP(c_Nat_OSuc, _u4473))) )).
% 12.54/12.77 cnf(matrix-2631, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4474), _u4475)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4474)), _u4475)) )).
% 12.54/12.77 cnf(matrix-2632, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4476), _u4477)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4477), hAPP(c_Nat_OSuc, _u4476))) | ( _u4477 = _u4476) )).
% 12.54/12.77 cnf(matrix-2633, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4476), _u4477)) | ( _u4477 != _u4476) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4477), hAPP(c_Nat_OSuc, _u4476))) )).
% 12.54/12.77 cnf(matrix-2634, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4478)), _u4479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4478), _u4479)) )).
% 12.54/12.77 cnf(matrix-2635, plain, ( ~class_Groups_Ocomm__monoid__add(_u4480) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4481)), _u4482)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4480), _u4483), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4482, hAPP(c_Nat_OSuc, _u4481))) = c_Groups_Ozero__class_Ozero(_u4480)) )).
% 12.54/12.77 cnf(matrix-2636, plain, ( ~class_Groups_Ocomm__monoid__add(_u4480) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4481)), _u4482)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4480), _u4483), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4482, hAPP(c_Nat_OSuc, _u4481))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4480), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4480), _u4483), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4482, _u4481))), hAPP(_u4483, hAPP(c_Nat_OSuc, _u4481)))) )).
% 12.54/12.77 cnf(matrix-2637, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4484), _u4485)), hAPP(c_Nat_OSuc, _u4484))) )).
% 12.54/12.77 cnf(matrix-2638, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4491), _u4493)) | ~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, _u4489)), _u4491)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4489)), _u4493))) )).
% 12.54/12.77 cnf(matrix-2639, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4492), _u4494)) | 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, _u4490)), _u4492)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4490)), _u4494))) )).
% 12.54/12.77 cnf(matrix-2640, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4495)), _u4496) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4496), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4495), _u4496))) )).
% 12.54/12.77 cnf(matrix-2641, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4497), hAPP(c_Nat_OSuc, _u4498)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4497), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4497), _u4498))) )).
% 12.54/12.77 cnf(matrix-2642, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4499), _u4500)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4500)), _u4499) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4500), _u4499))) )).
% 12.54/12.77 cnf(matrix-2643, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4506), _u4508)) | ~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, _u4504)), _u4506)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4504)), _u4508))) )).
% 12.54/12.77 cnf(matrix-2644, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4507), _u4509)) | 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, _u4505)), _u4507)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4505)), _u4509))) )).
% 12.54/12.77 cnf(matrix-2645, plain, ( ~class_Groups_Olinordered__ab__group__add(_u4510) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4510), c_Groups_Ozero__class_Ozero(_u4510)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4510), _u4511), _u4511))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4510), c_Groups_Ozero__class_Ozero(_u4510)), _u4511)) )).
% 12.54/12.77 cnf(matrix-2646, plain, ( ~class_Groups_Olinordered__ab__group__add(_u4510) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4510), c_Groups_Ozero__class_Ozero(_u4510)), _u4511)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4510), c_Groups_Ozero__class_Ozero(_u4510)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4510), _u4511), _u4511))) )).
% 12.54/12.77 cnf(matrix-2647, plain, ( ~class_Groups_Olinordered__ab__group__add(_u4512) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4512), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4512), _u4513), _u4513)), c_Groups_Ozero__class_Ozero(_u4512))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4512), _u4513), c_Groups_Ozero__class_Ozero(_u4512))) )).
% 12.54/12.77 cnf(matrix-2648, plain, ( ~class_Groups_Olinordered__ab__group__add(_u4512) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4512), _u4513), c_Groups_Ozero__class_Ozero(_u4512))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4512), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4512), _u4513), _u4513)), c_Groups_Ozero__class_Ozero(_u4512))) )).
% 12.54/12.77 cnf(matrix-2649, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u4514) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4514), c_Groups_Ozero__class_Ozero(_u4514)), _u4515)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4514), c_Groups_Ozero__class_Ozero(_u4514)), _u4516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4514), c_Groups_Ozero__class_Ozero(_u4514)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4514), _u4515), _u4516))) )).
% 12.54/12.77 cnf(matrix-2650, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u4517) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4517), c_Groups_Ozero__class_Ozero(_u4517)), _u4518)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4517), c_Groups_Ozero__class_Ozero(_u4517)), _u4519)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4517), _u4518), _u4519) != c_Groups_Ozero__class_Ozero(_u4517)) | ( _u4518 = c_Groups_Ozero__class_Ozero(_u4517)) )).
% 12.54/12.77 cnf(matrix-2651, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u4517) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4517), c_Groups_Ozero__class_Ozero(_u4517)), _u4518)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4517), c_Groups_Ozero__class_Ozero(_u4517)), _u4519)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4517), _u4518), _u4519) != c_Groups_Ozero__class_Ozero(_u4517)) | ( _u4519 = c_Groups_Ozero__class_Ozero(_u4517)) )).
% 12.54/12.77 cnf(matrix-2652, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u4517) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4517), c_Groups_Ozero__class_Ozero(_u4517)), _u4518)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4517), c_Groups_Ozero__class_Ozero(_u4517)), _u4519)) | ( _u4518 != c_Groups_Ozero__class_Ozero(_u4517)) | ( _u4519 != c_Groups_Ozero__class_Ozero(_u4517)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4517), _u4518), _u4519) = c_Groups_Ozero__class_Ozero(_u4517)) )).
% 12.54/12.77 cnf(matrix-2653, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u4520) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4520), c_Groups_Ozero__class_Ozero(_u4520)), _u4521)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4520), _u4522), _u4523)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4520), _u4522), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4520), _u4521), _u4523))) )).
% 12.54/12.77 cnf(matrix-2654, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u4524) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4524), c_Groups_Ozero__class_Ozero(_u4524)), _u4525)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4524), _u4526), _u4527)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4524), _u4526), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4524), _u4527), _u4525))) )).
% 12.54/12.77 cnf(matrix-2655, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u4528) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4528), _u4529), c_Groups_Ozero__class_Ozero(_u4528))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4528), _u4530), c_Groups_Ozero__class_Ozero(_u4528))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4528), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4528), _u4529), _u4530)), c_Groups_Ozero__class_Ozero(_u4528))) )).
% 12.54/12.77 cnf(matrix-2656, plain, ( ~class_Rings_Oordered__cancel__semiring(_u4531) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4531), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4531), _u4532), _u4533)), c_Groups_Ozero__class_Ozero(_u4531))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4531), c_Groups_Ozero__class_Ozero(_u4531)), _u4532)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4531), _u4533), c_Groups_Ozero__class_Ozero(_u4531))) )).
% 12.54/12.77 cnf(matrix-2657, plain, ( ~class_Rings_Oordered__cancel__semiring(_u4531) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4531), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4531), _u4532), _u4533)), c_Groups_Ozero__class_Ozero(_u4531))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4531), _u4532), c_Groups_Ozero__class_Ozero(_u4531))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4531), c_Groups_Ozero__class_Ozero(_u4531)), _u4533)) )).
% 12.54/12.77 cnf(matrix-2658, plain, ( ~class_Rings_Oordered__ring(_u4534) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4534), c_Groups_Ozero__class_Ozero(_u4534)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4534), _u4535), _u4536))) | ~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)), _u4536)) )).
% 12.54/12.77 cnf(matrix-2659, plain, ( ~class_Rings_Oordered__ring(_u4534) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4534), c_Groups_Ozero__class_Ozero(_u4534)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4534), _u4535), _u4536))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4534), _u4535), c_Groups_Ozero__class_Ozero(_u4534))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4534), _u4536), c_Groups_Ozero__class_Ozero(_u4534))) )).
% 12.54/12.77 cnf(matrix-2660, plain, ( ~class_Rings_Oordered__semiring(_u4537) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4537), _u4538), _u4539)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4537), _u4540), _u4541)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4537), c_Groups_Ozero__class_Ozero(_u4537)), _u4539)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4537), c_Groups_Ozero__class_Ozero(_u4537)), _u4540)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4537), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4537), _u4538), _u4540)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4537), _u4539), _u4541))) )).
% 12.54/12.77 cnf(matrix-2661, plain, ( ~class_Rings_Oordered__semiring(_u4542) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4542), _u4543), _u4544)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4542), _u4545), _u4546)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4542), c_Groups_Ozero__class_Ozero(_u4542)), _u4543)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4542), c_Groups_Ozero__class_Ozero(_u4542)), _u4545)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4542), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4542), _u4543), _u4545)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4542), _u4544), _u4546))) )).
% 12.54/12.77 cnf(matrix-2662, plain, ( ~class_Rings_Oordered__ring(_u4547) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4547), _u4548), _u4549)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4547), _u4550), c_Groups_Ozero__class_Ozero(_u4547))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4547), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4547), _u4550), _u4549)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4547), _u4550), _u4548))) )).
% 12.54/12.77 cnf(matrix-2663, plain, ( ~class_Rings_Oordered__ring(_u4551) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4551), _u4552), _u4553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4551), _u4554), c_Groups_Ozero__class_Ozero(_u4551))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4551), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4551), _u4553), _u4554)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4551), _u4552), _u4554))) )).
% 12.54/12.77 cnf(matrix-2664, plain, ( ~class_Rings_Oordered__comm__semiring(_u4555) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4555), _u4556), _u4557)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4555), c_Groups_Ozero__class_Ozero(_u4555)), _u4558)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4555), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4555), _u4558), _u4556)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4555), _u4558), _u4557))) )).
% 12.54/12.77 cnf(matrix-2665, plain, ( ~class_Rings_Oordered__semiring(_u4559) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4559), _u4560), _u4561)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4559), c_Groups_Ozero__class_Ozero(_u4559)), _u4562)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4559), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4559), _u4562), _u4560)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4559), _u4562), _u4561))) )).
% 12.54/12.77 cnf(matrix-2666, plain, ( ~class_Rings_Oordered__semiring(_u4563) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4563), _u4564), _u4565)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4563), c_Groups_Ozero__class_Ozero(_u4563)), _u4566)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4563), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4563), _u4564), _u4566)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4563), _u4565), _u4566))) )).
% 12.54/12.77 cnf(matrix-2667, plain, ( ~class_Rings_Oordered__ring(_u4567) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4567), _u4568), c_Groups_Ozero__class_Ozero(_u4567))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4567), _u4569), c_Groups_Ozero__class_Ozero(_u4567))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4567), c_Groups_Ozero__class_Ozero(_u4567)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4567), _u4568), _u4569))) )).
% 12.54/12.77 cnf(matrix-2668, plain, ( ~class_Rings_Oordered__cancel__semiring(_u4570) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4570), _u4571), c_Groups_Ozero__class_Ozero(_u4570))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4570), c_Groups_Ozero__class_Ozero(_u4570)), _u4572)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4570), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4570), _u4571), _u4572)), c_Groups_Ozero__class_Ozero(_u4570))) )).
% 12.54/12.77 cnf(matrix-2669, plain, ( ~class_Rings_Oordered__cancel__semiring(_u4573) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4573), c_Groups_Ozero__class_Ozero(_u4573)), _u4574)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4573), _u4575), c_Groups_Ozero__class_Ozero(_u4573))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4573), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4573), _u4575), _u4574)), c_Groups_Ozero__class_Ozero(_u4573))) )).
% 12.54/12.77 cnf(matrix-2670, plain, ( ~class_Rings_Oordered__cancel__semiring(_u4576) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4576), c_Groups_Ozero__class_Ozero(_u4576)), _u4577)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4576), _u4578), c_Groups_Ozero__class_Ozero(_u4576))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4576), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4576), _u4577), _u4578)), c_Groups_Ozero__class_Ozero(_u4576))) )).
% 12.54/12.77 cnf(matrix-2671, plain, ( ~class_Rings_Oordered__cancel__semiring(_u4579) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4579), c_Groups_Ozero__class_Ozero(_u4579)), _u4580)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4579), c_Groups_Ozero__class_Ozero(_u4579)), _u4581)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4579), c_Groups_Ozero__class_Ozero(_u4579)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4579), _u4580), _u4581))) )).
% 12.54/12.77 cnf(matrix-2672, plain, ( ~class_Rings_Olinordered__ring__strict(_u4582) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4582), _u4583), _u4584)), c_Groups_Ozero__class_Ozero(_u4582))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), c_Groups_Ozero__class_Ozero(_u4582)), _u4583)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), _u4583), c_Groups_Ozero__class_Ozero(_u4582))) )).
% 12.54/12.77 cnf(matrix-2673, plain, ( ~class_Rings_Olinordered__ring__strict(_u4582) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4582), _u4583), _u4584)), c_Groups_Ozero__class_Ozero(_u4582))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), c_Groups_Ozero__class_Ozero(_u4582)), _u4583)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), c_Groups_Ozero__class_Ozero(_u4582)), _u4584)) )).
% 12.54/12.77 cnf(matrix-2674, plain, ( ~class_Rings_Olinordered__ring__strict(_u4582) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4582), _u4583), _u4584)), c_Groups_Ozero__class_Ozero(_u4582))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), _u4584), c_Groups_Ozero__class_Ozero(_u4582))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), _u4583), c_Groups_Ozero__class_Ozero(_u4582))) )).
% 12.54/12.77 cnf(matrix-2675, plain, ( ~class_Rings_Olinordered__ring__strict(_u4582) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4582), _u4583), _u4584)), c_Groups_Ozero__class_Ozero(_u4582))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), _u4584), c_Groups_Ozero__class_Ozero(_u4582))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), c_Groups_Ozero__class_Ozero(_u4582)), _u4584)) )).
% 12.54/12.77 cnf(matrix-2676, plain, ( ~class_Rings_Olinordered__ring__strict(_u4582) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4582), _u4583), _u4584)), c_Groups_Ozero__class_Ozero(_u4582))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), c_Groups_Ozero__class_Ozero(_u4582)), _u4583)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), _u4584), c_Groups_Ozero__class_Ozero(_u4582))) )).
% 12.54/12.77 cnf(matrix-2677, plain, ( ~class_Rings_Olinordered__ring__strict(_u4582) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4582), _u4583), _u4584)), c_Groups_Ozero__class_Ozero(_u4582))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), _u4583), c_Groups_Ozero__class_Ozero(_u4582))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4582), c_Groups_Ozero__class_Ozero(_u4582)), _u4584)) )).
% 12.54/12.77 cnf(matrix-2678, plain, ( ~class_Rings_Olinordered__ring__strict(_u4585) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), c_Groups_Ozero__class_Ozero(_u4585)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4585), _u4586), _u4587))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), c_Groups_Ozero__class_Ozero(_u4585)), _u4586)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), _u4586), c_Groups_Ozero__class_Ozero(_u4585))) )).
% 12.54/12.77 cnf(matrix-2679, plain, ( ~class_Rings_Olinordered__ring__strict(_u4585) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), c_Groups_Ozero__class_Ozero(_u4585)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4585), _u4586), _u4587))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), c_Groups_Ozero__class_Ozero(_u4585)), _u4586)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), _u4587), c_Groups_Ozero__class_Ozero(_u4585))) )).
% 12.54/12.77 cnf(matrix-2680, plain, ( ~class_Rings_Olinordered__ring__strict(_u4585) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), c_Groups_Ozero__class_Ozero(_u4585)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4585), _u4586), _u4587))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), c_Groups_Ozero__class_Ozero(_u4585)), _u4587)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), _u4586), c_Groups_Ozero__class_Ozero(_u4585))) )).
% 12.54/12.77 cnf(matrix-2681, plain, ( ~class_Rings_Olinordered__ring__strict(_u4585) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), c_Groups_Ozero__class_Ozero(_u4585)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4585), _u4586), _u4587))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), c_Groups_Ozero__class_Ozero(_u4585)), _u4587)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), _u4587), c_Groups_Ozero__class_Ozero(_u4585))) )).
% 12.54/12.77 cnf(matrix-2682, plain, ( ~class_Rings_Olinordered__ring__strict(_u4585) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), c_Groups_Ozero__class_Ozero(_u4585)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4585), _u4586), _u4587))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), c_Groups_Ozero__class_Ozero(_u4585)), _u4586)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), c_Groups_Ozero__class_Ozero(_u4585)), _u4587)) )).
% 12.54/12.77 cnf(matrix-2683, plain, ( ~class_Rings_Olinordered__ring__strict(_u4585) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), c_Groups_Ozero__class_Ozero(_u4585)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4585), _u4586), _u4587))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), _u4586), c_Groups_Ozero__class_Ozero(_u4585))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4585), _u4587), c_Groups_Ozero__class_Ozero(_u4585))) )).
% 12.54/12.77 cnf(matrix-2684, plain, ( ~class_Rings_Olinordered__ring(_u4588) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4588), c_Groups_Ozero__class_Ozero(_u4588)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4588), _u4589), _u4589))) )).
% 12.54/12.77 cnf(matrix-2685, plain, ( ~class_Rings_Olinordered__semidom(_u4590) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4590), c_Groups_Ozero__class_Ozero(_u4590)), _u4591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4590), _u4592), _u4593)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4590), _u4592), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4590), _u4591), _u4593))) )).
% 12.54/12.77 cnf(matrix-2686, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u4594) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4594), _u4595), c_Groups_Ozero__class_Ozero(_u4594))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4594), _u4596), c_Groups_Ozero__class_Ozero(_u4594))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4594), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4594), _u4595), _u4596)), c_Groups_Ozero__class_Ozero(_u4594))) )).
% 12.54/12.77 cnf(matrix-2687, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u4597) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4597), c_Groups_Ozero__class_Ozero(_u4597)), _u4598)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4597), c_Groups_Ozero__class_Ozero(_u4597)), _u4599)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4597), c_Groups_Ozero__class_Ozero(_u4597)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4597), _u4598), _u4599))) )).
% 12.54/12.77 cnf(matrix-2688, plain, ( ~class_Groups_Olinordered__ab__group__add(_u4600) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4600), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4600), _u4601), _u4601)), c_Groups_Ozero__class_Ozero(_u4600))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4600), _u4601), c_Groups_Ozero__class_Ozero(_u4600))) )).
% 12.54/12.77 cnf(matrix-2689, plain, ( ~class_Groups_Olinordered__ab__group__add(_u4600) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4600), _u4601), c_Groups_Ozero__class_Ozero(_u4600))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4600), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4600), _u4601), _u4601)), c_Groups_Ozero__class_Ozero(_u4600))) )).
% 12.54/12.77 cnf(matrix-2690, plain, ( ~class_Groups_Olinordered__ab__group__add(_u4602) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4602), c_Groups_Ozero__class_Ozero(_u4602)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4602), _u4603), _u4603))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4602), c_Groups_Ozero__class_Ozero(_u4602)), _u4603)) )).
% 12.54/12.77 cnf(matrix-2691, plain, ( ~class_Groups_Olinordered__ab__group__add(_u4602) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4602), c_Groups_Ozero__class_Ozero(_u4602)), _u4603)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4602), c_Groups_Ozero__class_Ozero(_u4602)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4602), _u4603), _u4603))) )).
% 12.54/12.77 cnf(matrix-2692, plain, ( ~class_Rings_Olinordered__ring__strict(_u4604) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4604), _u4605), _u4606)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4604), _u4607), c_Groups_Ozero__class_Ozero(_u4604))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4604), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4604), _u4607), _u4606)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4604), _u4607), _u4605))) )).
% 12.54/12.77 cnf(matrix-2693, plain, ( ~class_Rings_Olinordered__ring__strict(_u4608) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4608), _u4609), _u4610)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4608), _u4611), c_Groups_Ozero__class_Ozero(_u4608))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4608), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4608), _u4610), _u4611)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4608), _u4609), _u4611))) )).
% 12.54/12.77 cnf(matrix-2694, plain, ( ~class_Rings_Olinordered__comm__semiring__strict(_u4612) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4612), _u4613), _u4614)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4612), c_Groups_Ozero__class_Ozero(_u4612)), _u4615)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4612), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4612), _u4615), _u4613)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4612), _u4615), _u4614))) )).
% 12.54/12.77 cnf(matrix-2695, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4616) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4616), _u4617), _u4618)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4616), c_Groups_Ozero__class_Ozero(_u4616)), _u4619)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4616), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4616), _u4619), _u4617)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4616), _u4619), _u4618))) )).
% 12.54/12.77 cnf(matrix-2696, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4620) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4620), _u4621), _u4622)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4620), c_Groups_Ozero__class_Ozero(_u4620)), _u4623)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4620), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4620), _u4621), _u4623)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4620), _u4622), _u4623))) )).
% 12.54/12.77 cnf(matrix-2697, plain, ( ~class_Rings_Olinordered__ring__strict(_u4624) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4624), _u4625), c_Groups_Ozero__class_Ozero(_u4624))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4624), _u4626), c_Groups_Ozero__class_Ozero(_u4624))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4624), c_Groups_Ozero__class_Ozero(_u4624)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4624), _u4625), _u4626))) )).
% 12.54/12.77 cnf(matrix-2698, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4627) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4627), _u4628), c_Groups_Ozero__class_Ozero(_u4627))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4627), c_Groups_Ozero__class_Ozero(_u4627)), _u4629)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4627), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4627), _u4628), _u4629)), c_Groups_Ozero__class_Ozero(_u4627))) )).
% 12.54/12.77 cnf(matrix-2699, plain, ( ~class_Rings_Olinordered__ring__strict(_u4630) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4630), _u4631), c_Groups_Ozero__class_Ozero(_u4630))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4630), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4630), _u4631), _u4632)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4630), _u4631), _u4633))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4630), _u4633), _u4632)) )).
% 12.54/12.77 cnf(matrix-2700, plain, ( ~class_Rings_Olinordered__ring__strict(_u4630) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4630), _u4631), c_Groups_Ozero__class_Ozero(_u4630))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4630), _u4633), _u4632)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4630), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4630), _u4631), _u4632)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4630), _u4631), _u4633))) )).
% 12.54/12.77 cnf(matrix-2701, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4634) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4634), c_Groups_Ozero__class_Ozero(_u4634)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4634), _u4635), _u4636))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4634), c_Groups_Ozero__class_Ozero(_u4634)), _u4636)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4634), c_Groups_Ozero__class_Ozero(_u4634)), _u4635)) )).
% 12.54/12.77 cnf(matrix-2702, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4637) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4637), c_Groups_Ozero__class_Ozero(_u4637)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4637), _u4638), _u4639))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4637), c_Groups_Ozero__class_Ozero(_u4637)), _u4638)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4637), c_Groups_Ozero__class_Ozero(_u4637)), _u4639)) )).
% 12.54/12.77 cnf(matrix-2703, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4640) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4640), c_Groups_Ozero__class_Ozero(_u4640)), _u4641)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4640), _u4642), c_Groups_Ozero__class_Ozero(_u4640))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4640), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4640), _u4642), _u4641)), c_Groups_Ozero__class_Ozero(_u4640))) )).
% 12.54/12.77 cnf(matrix-2704, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4643) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4643), c_Groups_Ozero__class_Ozero(_u4643)), _u4644)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4643), _u4645), c_Groups_Ozero__class_Ozero(_u4643))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4643), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4643), _u4644), _u4645)), c_Groups_Ozero__class_Ozero(_u4643))) )).
% 12.54/12.77 cnf(matrix-2705, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4646) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4646), c_Groups_Ozero__class_Ozero(_u4646)), _u4647)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4646), c_Groups_Ozero__class_Ozero(_u4646)), _u4648)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4646), c_Groups_Ozero__class_Ozero(_u4646)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4646), _u4647), _u4648))) )).
% 12.54/12.77 cnf(matrix-2706, plain, ( ~class_Rings_Olinordered__ring__strict(_u4649) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4649), c_Groups_Ozero__class_Ozero(_u4649)), _u4650)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4649), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4649), _u4650), _u4651)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4649), _u4650), _u4652))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4649), _u4651), _u4652)) )).
% 12.54/12.77 cnf(matrix-2707, plain, ( ~class_Rings_Olinordered__ring__strict(_u4649) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4649), c_Groups_Ozero__class_Ozero(_u4649)), _u4650)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4649), _u4651), _u4652)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4649), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4649), _u4650), _u4651)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4649), _u4650), _u4652))) )).
% 12.54/12.77 cnf(matrix-2708, plain, ( ~class_Rings_Olinordered__ring__strict(_u4653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4653), _u4654), _u4655)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4653), _u4654), _u4656))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), c_Groups_Ozero__class_Ozero(_u4653)), _u4654)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), _u4654), c_Groups_Ozero__class_Ozero(_u4653))) )).
% 12.54/12.77 cnf(matrix-2709, plain, ( ~class_Rings_Olinordered__ring__strict(_u4653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4653), _u4654), _u4655)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4653), _u4654), _u4656))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), c_Groups_Ozero__class_Ozero(_u4653)), _u4654)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), _u4656), _u4655)) )).
% 12.54/12.77 cnf(matrix-2710, plain, ( ~class_Rings_Olinordered__ring__strict(_u4653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4653), _u4654), _u4655)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4653), _u4654), _u4656))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), _u4655), _u4656)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), _u4654), c_Groups_Ozero__class_Ozero(_u4653))) )).
% 12.54/12.77 cnf(matrix-2711, plain, ( ~class_Rings_Olinordered__ring__strict(_u4653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4653), _u4654), _u4655)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4653), _u4654), _u4656))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), _u4655), _u4656)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), _u4656), _u4655)) )).
% 12.54/12.77 cnf(matrix-2712, plain, ( ~class_Rings_Olinordered__ring__strict(_u4653) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4653), _u4654), _u4655)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4653), _u4654), _u4656))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), c_Groups_Ozero__class_Ozero(_u4653)), _u4654)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), _u4655), _u4656)) )).
% 12.54/12.77 cnf(matrix-2713, plain, ( ~class_Rings_Olinordered__ring__strict(_u4653) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4653), _u4654), _u4655)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4653), _u4654), _u4656))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), _u4654), c_Groups_Ozero__class_Ozero(_u4653))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4653), _u4656), _u4655)) )).
% 12.54/12.77 cnf(matrix-2714, plain, ( ~class_Rings_Olinordered__ring__strict(_u4657) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4657), _u4658), _u4659)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4657), _u4660), _u4659))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), c_Groups_Ozero__class_Ozero(_u4657)), _u4659)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), _u4659), c_Groups_Ozero__class_Ozero(_u4657))) )).
% 12.54/12.77 cnf(matrix-2715, plain, ( ~class_Rings_Olinordered__ring__strict(_u4657) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4657), _u4658), _u4659)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4657), _u4660), _u4659))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), c_Groups_Ozero__class_Ozero(_u4657)), _u4659)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), _u4660), _u4658)) )).
% 12.54/12.77 cnf(matrix-2716, plain, ( ~class_Rings_Olinordered__ring__strict(_u4657) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4657), _u4658), _u4659)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4657), _u4660), _u4659))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), _u4658), _u4660)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), _u4659), c_Groups_Ozero__class_Ozero(_u4657))) )).
% 12.54/12.77 cnf(matrix-2717, plain, ( ~class_Rings_Olinordered__ring__strict(_u4657) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4657), _u4658), _u4659)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4657), _u4660), _u4659))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), _u4658), _u4660)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), _u4660), _u4658)) )).
% 12.54/12.77 cnf(matrix-2718, plain, ( ~class_Rings_Olinordered__ring__strict(_u4657) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4657), _u4658), _u4659)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4657), _u4660), _u4659))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), c_Groups_Ozero__class_Ozero(_u4657)), _u4659)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), _u4658), _u4660)) )).
% 12.54/12.77 cnf(matrix-2719, plain, ( ~class_Rings_Olinordered__ring__strict(_u4657) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4657), _u4658), _u4659)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4657), _u4660), _u4659))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), _u4659), c_Groups_Ozero__class_Ozero(_u4657))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), _u4660), _u4658)) )).
% 12.54/12.77 cnf(matrix-2720, plain, ( ~class_Rings_Olinordered__ring(_u4661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4661), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4661), _u4662), _u4662)), c_Groups_Ozero__class_Ozero(_u4661))) )).
% 12.54/12.77 cnf(matrix-2721, plain, ( ~class_Groups_Oordered__ab__group__add(_u4663) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4663), _u4664), _u4665)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4663), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4663), _u4664), _u4665)), c_Groups_Ozero__class_Ozero(_u4663))) )).
% 12.54/12.77 cnf(matrix-2722, plain, ( ~class_Groups_Oordered__ab__group__add(_u4663) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4663), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4663), _u4664), _u4665)), c_Groups_Ozero__class_Ozero(_u4663))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4663), _u4664), _u4665)) )).
% 12.54/12.77 cnf(matrix-2723, plain, ( ~class_Groups_Oordered__ab__group__add(_u4666) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4666), _u4667), _u4668)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4666), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4666), _u4667), _u4668)), c_Groups_Ozero__class_Ozero(_u4666))) )).
% 12.54/12.77 cnf(matrix-2724, plain, ( ~class_Groups_Oordered__ab__group__add(_u4666) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4666), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4666), _u4667), _u4668)), c_Groups_Ozero__class_Ozero(_u4666))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4666), _u4667), _u4668)) )).
% 12.54/12.77 cnf(matrix-2725, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u4669) | ( _u4670 = c_Groups_Ozero__class_Ozero(_u4669)) | ( _u4671 != _u4672) | ( _u4673 = _u4674) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4669), _u4671), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4669), _u4670), _u4673)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4669), _u4672), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4669), _u4670), _u4674))) )).
% 12.54/12.77 cnf(matrix-2726, plain, ( ~class_Rings_Olinordered__semidom(_u4675) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4675), c_Groups_Ozero__class_Ozero(_u4675)), c_Groups_Oone__class_Oone(_u4675))) )).
% 12.54/12.77 cnf(matrix-2727, plain, ( ~class_Rings_Olinordered__semidom(_u4676) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4676), c_Groups_Oone__class_Oone(_u4676)), c_Groups_Ozero__class_Ozero(_u4676))) )).
% 12.54/12.77 cnf(matrix-2728, plain, ( ~class_Rings_Olinordered__semidom(_u4677) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4677), c_Groups_Ozero__class_Ozero(_u4677)), c_Groups_Oone__class_Oone(_u4677))) )).
% 12.54/12.77 cnf(matrix-2729, plain, ( ~class_Rings_Olinordered__semidom(_u4678) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4678), c_Groups_Oone__class_Oone(_u4678)), c_Groups_Ozero__class_Ozero(_u4678))) )).
% 12.54/12.77 cnf(matrix-2730, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4679)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u4679) )).
% 12.54/12.77 cnf(matrix-2731, plain, ( ~class_Groups_Oordered__ab__group__add(_u4680) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4680), c_Groups_Ozero__class_Ozero(_u4680)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4680), _u4681))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4680), _u4681), c_Groups_Ozero__class_Ozero(_u4680))) )).
% 12.54/12.77 cnf(matrix-2732, plain, ( ~class_Groups_Oordered__ab__group__add(_u4680) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4680), _u4681), c_Groups_Ozero__class_Ozero(_u4680))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4680), c_Groups_Ozero__class_Ozero(_u4680)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4680), _u4681))) )).
% 12.54/12.77 cnf(matrix-2733, plain, ( ~class_Groups_Olinordered__ab__group__add(_u4682) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4682), _u4683), hAPP(c_Groups_Ouminus__class_Ouminus(_u4682), _u4683))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4682), _u4683), c_Groups_Ozero__class_Ozero(_u4682))) )).
% 12.54/12.77 cnf(matrix-2734, plain, ( ~class_Groups_Olinordered__ab__group__add(_u4682) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4682), _u4683), c_Groups_Ozero__class_Ozero(_u4682))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4682), _u4683), hAPP(c_Groups_Ouminus__class_Ouminus(_u4682), _u4683))) )).
% 12.54/12.77 cnf(matrix-2735, plain, ( ~class_Groups_Oordered__ab__group__add(_u4684) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4684), hAPP(c_Groups_Ouminus__class_Ouminus(_u4684), _u4685)), c_Groups_Ozero__class_Ozero(_u4684))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4684), c_Groups_Ozero__class_Ozero(_u4684)), _u4685)) )).
% 12.54/12.77 cnf(matrix-2736, plain, ( ~class_Groups_Oordered__ab__group__add(_u4684) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4684), c_Groups_Ozero__class_Ozero(_u4684)), _u4685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4684), hAPP(c_Groups_Ouminus__class_Ouminus(_u4684), _u4685)), c_Groups_Ozero__class_Ozero(_u4684))) )).
% 12.54/12.77 cnf(matrix-2737, plain, ( ~class_Groups_Olinordered__ab__group__add(_u4686) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4686), hAPP(c_Groups_Ouminus__class_Ouminus(_u4686), _u4687)), _u4687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4686), c_Groups_Ozero__class_Ozero(_u4686)), _u4687)) )).
% 12.54/12.77 cnf(matrix-2738, plain, ( ~class_Groups_Olinordered__ab__group__add(_u4686) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4686), c_Groups_Ozero__class_Ozero(_u4686)), _u4687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4686), hAPP(c_Groups_Ouminus__class_Ouminus(_u4686), _u4687)), _u4687)) )).
% 12.54/12.77 cnf(matrix-2739, plain, ( ~class_Groups_Oordered__ab__group__add(_u4688) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4688), c_Groups_Ozero__class_Ozero(_u4688)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4688), _u4689))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4688), _u4689), c_Groups_Ozero__class_Ozero(_u4688))) )).
% 12.54/12.77 cnf(matrix-2740, plain, ( ~class_Groups_Oordered__ab__group__add(_u4688) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4688), _u4689), c_Groups_Ozero__class_Ozero(_u4688))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4688), c_Groups_Ozero__class_Ozero(_u4688)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4688), _u4689))) )).
% 12.54/12.77 cnf(matrix-2741, plain, ( ~class_Groups_Oordered__ab__group__add(_u4690) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4690), hAPP(c_Groups_Ouminus__class_Ouminus(_u4690), _u4691)), c_Groups_Ozero__class_Ozero(_u4690))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4690), c_Groups_Ozero__class_Ozero(_u4690)), _u4691)) )).
% 12.54/12.77 cnf(matrix-2742, plain, ( ~class_Groups_Oordered__ab__group__add(_u4690) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4690), c_Groups_Ozero__class_Ozero(_u4690)), _u4691)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4690), hAPP(c_Groups_Ouminus__class_Ouminus(_u4690), _u4691)), c_Groups_Ozero__class_Ozero(_u4690))) )).
% 12.54/12.77 cnf(matrix-2743, plain, ( ~class_Groups_Olinordered__ab__group__add(_u4692) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4692), hAPP(c_Groups_Ouminus__class_Ouminus(_u4692), _u4693)), _u4693)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4692), c_Groups_Ozero__class_Ozero(_u4692)), _u4693)) )).
% 12.54/12.77 cnf(matrix-2744, plain, ( ~class_Groups_Olinordered__ab__group__add(_u4692) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4692), c_Groups_Ozero__class_Ozero(_u4692)), _u4693)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4692), hAPP(c_Groups_Ouminus__class_Ouminus(_u4692), _u4693)), _u4693)) )).
% 12.54/12.77 cnf(matrix-2745, plain, ( ~class_Rings_Olinordered__idom(_u4694) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4694), _u4695), hAPP(c_Groups_Ouminus__class_Ouminus(_u4694), _u4695))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4694), _u4695), c_Groups_Ozero__class_Ozero(_u4694))) )).
% 12.54/12.77 cnf(matrix-2746, plain, ( ~class_Rings_Olinordered__idom(_u4694) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4694), _u4695), c_Groups_Ozero__class_Ozero(_u4694))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4694), _u4695), hAPP(c_Groups_Ouminus__class_Ouminus(_u4694), _u4695))) )).
% 12.54/12.77 cnf(matrix-2747, plain, ( ~class_Groups_Ogroup__add(_u4696) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4696), _u4697), hAPP(c_Groups_Ouminus__class_Ouminus(_u4696), _u4697)) = c_Groups_Ozero__class_Ozero(_u4696)) )).
% 12.54/12.77 cnf(matrix-2748, plain, ( ~class_Groups_Ogroup__add(_u4698) | ( _u4699 != hAPP(c_Groups_Ouminus__class_Ouminus(_u4698), _u4700)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4698), _u4699), _u4700) = c_Groups_Ozero__class_Ozero(_u4698)) )).
% 12.54/12.77 cnf(matrix-2749, plain, ( ~class_Groups_Ogroup__add(_u4698) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4698), _u4699), _u4700) != c_Groups_Ozero__class_Ozero(_u4698)) | ( _u4699 = hAPP(c_Groups_Ouminus__class_Ouminus(_u4698), _u4700)) )).
% 12.54/12.77 cnf(matrix-2750, plain, ( ~class_Groups_Ogroup__add(_u4701) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4701), hAPP(c_Groups_Ouminus__class_Ouminus(_u4701), _u4702)), _u4702) = c_Groups_Ozero__class_Ozero(_u4701)) )).
% 12.54/12.77 cnf(matrix-2751, plain, ( ~class_Groups_Oab__group__add(_u4703) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4703), hAPP(c_Groups_Ouminus__class_Ouminus(_u4703), _u4704)), _u4704) = c_Groups_Ozero__class_Ozero(_u4703)) )).
% 12.54/12.77 cnf(matrix-2752, plain, ( ~class_Groups_Ogroup__add(_u4705) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4705), _u4706), _u4707) != c_Groups_Ozero__class_Ozero(_u4705)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4705), _u4706) = _u4707) )).
% 12.54/12.77 cnf(matrix-2753, plain, ( ~class_Groups_Ogroup__add(_u4708) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4708), c_Groups_Ozero__class_Ozero(_u4708)), _u4709) = hAPP(c_Groups_Ouminus__class_Ouminus(_u4708), _u4709)) )).
% 12.54/12.77 cnf(matrix-2754, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4712), _u4714)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u4712), hAPP(c_Nat_OSuc, _u4714)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u4714), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u4712), _u4714))) )).
% 12.54/12.77 cnf(matrix-2755, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4713), _u4715)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u4713), hAPP(c_Nat_OSuc, _u4715)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.54/12.77 cnf(matrix-2756, plain, ( ~class_Groups_Ocomm__monoid__add(_u4716) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4717, _u4716), _u4718), c_Orderings_Obot__class_Obot(tc_fun(_u4717, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u4716)) )).
% 12.54/12.77 cnf(matrix-2757, plain, ( ~class_Groups_Ocomm__monoid__add(_u4719) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4720, _u4719), _u4721), c_Orderings_Obot__class_Obot(tc_fun(_u4720, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u4719)) )).
% 12.54/12.77 cnf(matrix-2758, plain, ( ~class_Groups_Ocomm__monoid__add(_u4722) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4723), _u4724)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4723, _u4722), _u4725), _u4724) = c_Groups_Ozero__class_Ozero(_u4722)) )).
% 12.54/12.77 cnf(matrix-2759, plain, ( ~class_Groups_Ocomm__monoid__add(_u4726) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4727), _u4728)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4727, _u4726), _u4729), _u4728) = c_Groups_Ozero__class_Ozero(_u4726)) )).
% 12.54/12.77 cnf(matrix-2760, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4732), _u4733)) | ~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(_u4732, tc_Nat_Onat), _u4734), _u4733))) | ~hBOOL(hAPP(hAPP(c_member(_u4732), _u4730), _u4733)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u4734, _u4730))) )).
% 12.54/12.77 cnf(matrix-2761, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4732), _u4733)) | 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(_u4732, tc_Nat_Onat), _u4734), _u4733))) | hBOOL(hAPP(hAPP(c_member(_u4732), skolem106(_u4734, _u4733, _u4732)), _u4733)) )).
% 12.54/12.77 cnf(matrix-2762, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4732), _u4733)) | 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(_u4732, tc_Nat_Onat), _u4734), _u4733))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u4734, skolem106(_u4734, _u4733, _u4732)))) )).
% 12.54/12.77 cnf(matrix-2763, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4735), hAPP(c_Nat_OSuc, _u4736))) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4735, hAPP(c_Nat_OSuc, _u4736)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4736)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4735, _u4736))) )).
% 12.54/12.77 cnf(matrix-2764, plain, ( ~class_Rings_Ocomm__semiring__1(_u4739) | ~class_Rings_Ono__zero__divisors(_u4739) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4740), _u4741)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4740, _u4739), _u4742), _u4741) != c_Groups_Ozero__class_Ozero(_u4739)) | hBOOL(hAPP(hAPP(c_member(_u4740), skolem107(_u4742, _u4741, _u4740, _u4739)), _u4741)) )).
% 12.54/12.77 cnf(matrix-2765, plain, ( ~class_Rings_Ocomm__semiring__1(_u4739) | ~class_Rings_Ono__zero__divisors(_u4739) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4740), _u4741)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4740, _u4739), _u4742), _u4741) != c_Groups_Ozero__class_Ozero(_u4739)) | ( hAPP(_u4742, skolem107(_u4742, _u4741, _u4740, _u4739)) = c_Groups_Ozero__class_Ozero(_u4739)) )).
% 12.54/12.77 cnf(matrix-2766, plain, ( ~class_Rings_Ocomm__semiring__1(_u4739) | ~class_Rings_Ono__zero__divisors(_u4739) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4740), _u4741)) | ~hBOOL(hAPP(hAPP(c_member(_u4740), _u4738), _u4741)) | ( hAPP(_u4742, _u4738) != c_Groups_Ozero__class_Ozero(_u4739)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4740, _u4739), _u4742), _u4741) = c_Groups_Ozero__class_Ozero(_u4739)) )).
% 12.54/12.77 cnf(matrix-2767, plain, ( ~class_Rings_Ocomm__semiring__1(_u4744) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4745), _u4746)) | ~hBOOL(hAPP(hAPP(c_member(_u4745), _u4743), _u4746)) | ( hAPP(_u4747, _u4743) != c_Groups_Ozero__class_Ozero(_u4744)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4745, _u4744), _u4747), _u4746) = c_Groups_Ozero__class_Ozero(_u4744)) )).
% 12.54/12.77 cnf(matrix-2768, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4748, _u4749)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4749)), _u4748)) )).
% 12.54/12.77 cnf(matrix-2769, 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), _u4752), _u4754))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4752)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4754)) )).
% 12.54/12.77 cnf(matrix-2770, 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), _u4753), _u4755))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4753)) )).
% 12.54/12.77 cnf(matrix-2771, 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), _u4753), _u4755))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4755)) )).
% 12.54/12.77 cnf(matrix-2772, plain, ( ( hAPP(c_Finite__Set_Ocard(_u4756), c_Orderings_Obot__class_Obot(tc_fun(_u4756, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2773, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u4757), _u4758)) | ( hAPP(c_Finite__Set_Ocard(_u4757), _u4758) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2774, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4759)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4760)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4760), _u4759)), _u4760)) )).
% 12.54/12.77 cnf(matrix-2775, 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), _u4763), _u4765))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4765), _u4763)) )).
% 12.54/12.77 cnf(matrix-2776, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4766), _u4764)) | 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), _u4764), _u4766))) )).
% 12.54/12.77 cnf(matrix-2777, 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), _u4769), _u4771))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4769)) )).
% 12.54/12.77 cnf(matrix-2778, 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), _u4769), _u4771))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4771)) )).
% 12.54/12.77 cnf(matrix-2779, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4770)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4772)) | 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), _u4770), _u4772))) )).
% 12.54/12.77 cnf(matrix-2780, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4776), _u4778)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4776), _u4780))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4776)) )).
% 12.54/12.77 cnf(matrix-2781, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4776), _u4778)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4776), _u4780))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4778), _u4780)) )).
% 12.54/12.77 cnf(matrix-2782, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4777)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4779), _u4781)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4777), _u4779)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4777), _u4781))) )).
% 12.54/12.77 cnf(matrix-2783, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4785), _u4787)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4789), _u4787))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4787)) )).
% 12.54/12.77 cnf(matrix-2784, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4785), _u4787)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4789), _u4787))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4785), _u4789)) )).
% 12.54/12.77 cnf(matrix-2785, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4788)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4786), _u4790)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4786), _u4788)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4790), _u4788))) )).
% 12.54/12.77 cnf(matrix-2786, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4791), _u4792)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4793)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4791), _u4793)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4792), _u4793))) )).
% 12.54/12.77 cnf(matrix-2787, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4794), _u4795)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4796)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4796), _u4794)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4796), _u4795))) )).
% 12.54/12.77 cnf(matrix-2788, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4797)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4797), _u4798) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4797), _u4799)) | ( _u4798 = _u4799) )).
% 12.54/12.77 cnf(matrix-2789, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4797)) | ( _u4798 != _u4799) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4797), _u4798) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4797), _u4799)) )).
% 12.54/12.77 cnf(matrix-2790, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4800)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4800), _u4801)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4800), _u4802))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4801), _u4802)) )).
% 12.54/12.77 cnf(matrix-2791, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4800)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4801), _u4802)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4800), _u4801)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4800), _u4802))) )).
% 12.54/12.77 cnf(matrix-2792, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4803), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4803), _u4804)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2793, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4805), _u4806)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4805), _u4806) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2794, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4809), _u4811) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4809), _u4811)) )).
% 12.54/12.77 cnf(matrix-2795, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4810), _u4812)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4810), _u4812) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2796, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u4813), hAPP(c_Nat_OSuc, _u4814)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4813, _u4814)) )).
% 12.54/12.77 cnf(matrix-2797, plain, ( ( _u4815 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4815), _u4816)) | ( _u4816 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u4815 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2798, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4819), _u4820)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4819, tc_Nat_Onat), _u4821), _u4820) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u4819), _u4817), _u4820)) | ( hAPP(_u4821, _u4817) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2799, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4819), _u4820)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4819, tc_Nat_Onat), _u4821), _u4820) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u4819), skolem108(_u4821, _u4820, _u4819)), _u4820)) )).
% 12.54/12.77 cnf(matrix-2800, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4819), _u4820)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4819, tc_Nat_Onat), _u4821), _u4820) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(_u4821, skolem108(_u4821, _u4820, _u4819)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2801, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4822)) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u4822)) )).
% 12.54/12.77 cnf(matrix-2802, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4823) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u4823)) )).
% 12.54/12.77 cnf(matrix-2803, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u4824, _u4825, _u4826, _u4827, _u4828, _u4829) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4825), _u4830)) | ( hAPP(_u4829, _u4830) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4824, _u4825, _u4826), _u4828), _u4827), _u4830)) )).
% 12.54/12.77 cnf(matrix-2804, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u4831, _u4832)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4832), hAPP(c_Nat_OSuc, _u4831))) )).
% 12.54/12.77 cnf(matrix-2805, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u4833) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u4833)) )).
% 12.54/12.77 cnf(matrix-2806, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u4834), _u4835) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u4834, _u4835)) )).
% 12.54/12.77 cnf(matrix-2807, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u4836)), _u4837) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u4836, _u4837)) )).
% 12.54/12.77 cnf(matrix-2808, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4838), _u4839)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4839), _u4838))), _u4840) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4839)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4838), _u4840))) )).
% 12.54/12.77 cnf(matrix-2809, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4841), _u4842)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4843), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4842), _u4841))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4843), _u4841)), hAPP(c_Nat_OSuc, _u4842))) )).
% 12.54/12.77 cnf(matrix-2810, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u4844) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4844), _u4845), c_Groups_Ozero__class_Ozero(_u4844))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4844), _u4846), c_Groups_Ozero__class_Ozero(_u4844))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4844), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4844), _u4845), _u4846)), c_Groups_Ozero__class_Ozero(_u4844))) )).
% 12.54/12.77 cnf(matrix-2811, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u4847) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4847), _u4848), c_Groups_Ozero__class_Ozero(_u4847))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4847), _u4849), c_Groups_Ozero__class_Ozero(_u4847))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4847), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4847), _u4848), _u4849)), c_Groups_Ozero__class_Ozero(_u4847))) )).
% 12.54/12.77 cnf(matrix-2812, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u4850) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4850), c_Groups_Ozero__class_Ozero(_u4850)), _u4851)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4850), _u4852), _u4853)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4850), _u4852), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4850), _u4851), _u4853))) )).
% 12.54/12.77 cnf(matrix-2813, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u4854) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4854), c_Groups_Ozero__class_Ozero(_u4854)), _u4855)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4854), _u4856), _u4857)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4854), _u4856), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4854), _u4855), _u4857))) )).
% 12.54/12.77 cnf(matrix-2814, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u4858) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4858), c_Groups_Ozero__class_Ozero(_u4858)), _u4859)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4858), c_Groups_Ozero__class_Ozero(_u4858)), _u4860)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4858), c_Groups_Ozero__class_Ozero(_u4858)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4858), _u4859), _u4860))) )).
% 12.54/12.77 cnf(matrix-2815, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u4861) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4861), c_Groups_Ozero__class_Ozero(_u4861)), _u4862)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4861), c_Groups_Ozero__class_Ozero(_u4861)), _u4863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4861), c_Groups_Ozero__class_Ozero(_u4861)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4861), _u4862), _u4863))) )).
% 12.54/12.77 cnf(matrix-2816, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4864) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4864), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4864), _u4865), _u4866)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4864), _u4865), _u4867))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4864), c_Groups_Ozero__class_Ozero(_u4864)), _u4865)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4864), _u4866), _u4867)) )).
% 12.54/12.77 cnf(matrix-2817, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4868) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4868), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4868), _u4869), _u4870)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4868), _u4871), _u4870))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4868), c_Groups_Ozero__class_Ozero(_u4868)), _u4870)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4868), _u4869), _u4871)) )).
% 12.54/12.77 cnf(matrix-2818, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4872) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4872), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4872), _u4873), _u4874)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4872), _u4873), _u4875))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4872), c_Groups_Ozero__class_Ozero(_u4872)), _u4873)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4872), _u4874), _u4875)) )).
% 12.54/12.77 cnf(matrix-2819, plain, ( ~class_Rings_Olinordered__semiring(_u4876) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4876), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4876), _u4877), _u4878)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4876), _u4877), _u4879))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4876), c_Groups_Ozero__class_Ozero(_u4876)), _u4877)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4876), _u4878), _u4879)) )).
% 12.54/12.77 cnf(matrix-2820, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4880) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4880), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4880), _u4881), _u4882)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4880), _u4883), _u4882))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4880), c_Groups_Ozero__class_Ozero(_u4880)), _u4882)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4880), _u4881), _u4883)) )).
% 12.54/12.77 cnf(matrix-2821, plain, ( ~class_Rings_Olinordered__semiring(_u4884) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4884), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4884), _u4885), _u4886)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4884), _u4887), _u4886))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4884), c_Groups_Ozero__class_Ozero(_u4884)), _u4886)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4884), _u4885), _u4887)) )).
% 12.54/12.77 cnf(matrix-2822, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4888) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4888), _u4889), _u4890)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4888), _u4891), _u4892)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4888), c_Groups_Ozero__class_Ozero(_u4888)), _u4889)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4888), c_Groups_Ozero__class_Ozero(_u4888)), _u4891)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4888), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4888), _u4889), _u4891)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4888), _u4890), _u4892))) )).
% 12.54/12.77 cnf(matrix-2823, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4893) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4893), _u4894), _u4895)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4893), _u4896), _u4897)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4893), c_Groups_Ozero__class_Ozero(_u4893)), _u4894)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4893), c_Groups_Ozero__class_Ozero(_u4893)), _u4896)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4893), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4893), _u4894), _u4896)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4893), _u4895), _u4897))) )).
% 12.54/12.77 cnf(matrix-2824, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4898) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4898), _u4899), _u4900)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4898), _u4901), _u4902)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4898), c_Groups_Ozero__class_Ozero(_u4898)), _u4899)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4898), c_Groups_Ozero__class_Ozero(_u4898)), _u4901)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4898), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4898), _u4899), _u4901)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4898), _u4900), _u4902))) )).
% 12.54/12.77 cnf(matrix-2825, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4903) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4903), _u4904), _u4905)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4903), _u4906), _u4907)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4903), c_Groups_Ozero__class_Ozero(_u4903)), _u4905)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4903), c_Groups_Ozero__class_Ozero(_u4903)), _u4906)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4903), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4903), _u4904), _u4906)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4903), _u4905), _u4907))) )).
% 12.54/12.77 cnf(matrix-2826, plain, ( ~class_Rings_Olinordered__ring__strict(_u4908) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4908), _u4909), c_Groups_Ozero__class_Ozero(_u4908))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4908), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4908), _u4909), _u4910)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4908), _u4909), _u4911))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4908), _u4911), _u4910)) )).
% 12.54/12.77 cnf(matrix-2827, plain, ( ~class_Rings_Olinordered__ring__strict(_u4908) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4908), _u4909), c_Groups_Ozero__class_Ozero(_u4908))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4908), _u4911), _u4910)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4908), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4908), _u4909), _u4910)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4908), _u4909), _u4911))) )).
% 12.54/12.77 cnf(matrix-2828, plain, ( ~class_Rings_Olinordered__ring__strict(_u4912) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4912), c_Groups_Ozero__class_Ozero(_u4912)), _u4913)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4912), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4912), _u4913), _u4914)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4912), _u4913), _u4915))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4912), _u4914), _u4915)) )).
% 12.54/12.77 cnf(matrix-2829, plain, ( ~class_Rings_Olinordered__ring__strict(_u4912) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4912), c_Groups_Ozero__class_Ozero(_u4912)), _u4913)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4912), _u4914), _u4915)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4912), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4912), _u4913), _u4914)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4912), _u4913), _u4915))) )).
% 12.54/12.77 cnf(matrix-2830, plain, ( ~class_Rings_Olinordered__idom(_u4916) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4916), c_Groups_Ozero__class_Ozero(_u4916)), _u4917)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4916), c_Groups_Ozero__class_Ozero(_u4916)), _u4918)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4916), _u4918), c_Groups_Oone__class_Oone(_u4916))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4916), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4916), _u4918), _u4917)), _u4917)) )).
% 12.54/12.77 cnf(matrix-2831, plain, ( ~class_Rings_Olinordered__idom(_u4919) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4919), c_Groups_Ozero__class_Ozero(_u4919)), _u4920)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4919), c_Groups_Ozero__class_Ozero(_u4919)), _u4921)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4919), _u4921), c_Groups_Oone__class_Oone(_u4919))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4919), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4919), _u4920), _u4921)), _u4920)) )).
% 12.54/12.77 cnf(matrix-2832, plain, ( ~class_Rings_Olinordered__semidom(_u4922) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4922), c_Groups_Ozero__class_Ozero(_u4922)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4922), c_Groups_Oone__class_Oone(_u4922)), c_Groups_Oone__class_Oone(_u4922)))) )).
% 12.54/12.77 cnf(matrix-2833, plain, ( ( hAPP(c_Finite__Set_Ocard(_u4925), _u4927) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4927 = c_Orderings_Obot__class_Obot(tc_fun(_u4925, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4925), _u4927)) )).
% 12.54/12.77 cnf(matrix-2834, plain, ( ( hAPP(c_Finite__Set_Ocard(_u4926), _u4928) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4928 != c_Orderings_Obot__class_Obot(tc_fun(_u4926, tc_HOL_Obool))) )).
% 12.54/12.77 cnf(matrix-2835, plain, ( ( hAPP(c_Finite__Set_Ocard(_u4926), _u4928) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4926), _u4928)) )).
% 12.54/12.77 cnf(matrix-2836, 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(_u4929), _u4930))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4929), _u4930)) )).
% 12.54/12.77 cnf(matrix-2837, plain, ( ~hBOOL(hAPP(_u4936, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4938), _u4940))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4938), _u4940)) | hBOOL(hAPP(_u4936, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.77 cnf(matrix-2838, plain, ( ~hBOOL(hAPP(_u4936, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4938), _u4940))) | ( _u4938 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4940), _u4931)) | hBOOL(hAPP(_u4936, _u4931)) )).
% 12.54/12.77 cnf(matrix-2839, plain, ( hBOOL(hAPP(_u4937, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4939), _u4941))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4939), _u4941)) | ( _u4939 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4941), skolem109(_u4941, _u4939, _u4937))) )).
% 12.54/12.77 cnf(matrix-2840, plain, ( hBOOL(hAPP(_u4937, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4939), _u4941))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4939), _u4941)) | ~hBOOL(hAPP(_u4937, skolem109(_u4941, _u4939, _u4937))) )).
% 12.54/12.77 cnf(matrix-2841, plain, ( hBOOL(hAPP(_u4937, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4939), _u4941))) | ~hBOOL(hAPP(_u4937, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4939 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4941), skolem109(_u4941, _u4939, _u4937))) )).
% 12.54/12.77 cnf(matrix-2842, plain, ( hBOOL(hAPP(_u4937, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4939), _u4941))) | ~hBOOL(hAPP(_u4937, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u4937, skolem109(_u4941, _u4939, _u4937))) )).
% 12.54/12.77 cnf(matrix-2843, plain, ( ~hBOOL(hAPP(_u4947, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4949), _u4951))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4949), _u4951)) | hBOOL(hAPP(_u4947, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.77 cnf(matrix-2844, plain, ( ~hBOOL(hAPP(_u4947, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4949), _u4951))) | ( _u4949 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4951), _u4942)) | hBOOL(hAPP(_u4947, _u4942)) )).
% 12.54/12.77 cnf(matrix-2845, plain, ( hBOOL(hAPP(_u4948, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4950), _u4952))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4950), _u4952)) | ( _u4950 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4952), skolem110(_u4952, _u4950, _u4948))) )).
% 12.54/12.77 cnf(matrix-2846, plain, ( hBOOL(hAPP(_u4948, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4950), _u4952))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4950), _u4952)) | ~hBOOL(hAPP(_u4948, skolem110(_u4952, _u4950, _u4948))) )).
% 12.54/12.77 cnf(matrix-2847, plain, ( hBOOL(hAPP(_u4948, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4950), _u4952))) | ~hBOOL(hAPP(_u4948, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4950 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4952), skolem110(_u4952, _u4950, _u4948))) )).
% 12.54/12.77 cnf(matrix-2848, plain, ( hBOOL(hAPP(_u4948, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4950), _u4952))) | ~hBOOL(hAPP(_u4948, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u4948, skolem110(_u4952, _u4950, _u4948))) )).
% 12.54/12.77 cnf(matrix-2849, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4956), _u4958)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4956), _u4960))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4956)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4958), _u4960)) )).
% 12.54/12.77 cnf(matrix-2850, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4957), _u4959)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4957), _u4961))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4957)) )).
% 12.54/12.77 cnf(matrix-2851, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4957), _u4959)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4957), _u4961))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4959), _u4961)) )).
% 12.54/12.77 cnf(matrix-2852, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4965), _u4967)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4969), _u4967))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4967)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4965), _u4969)) )).
% 12.54/12.77 cnf(matrix-2853, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4966), _u4968)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4970), _u4968))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4968)) )).
% 12.54/12.77 cnf(matrix-2854, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4966), _u4968)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4970), _u4968))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4966), _u4970)) )).
% 12.54/12.77 cnf(matrix-2855, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4971)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4971), _u4972)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4971), _u4973))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4972), _u4973)) )).
% 12.54/12.77 cnf(matrix-2856, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4971)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4972), _u4973)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4971), _u4972)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4971), _u4973))) )).
% 12.54/12.77 cnf(matrix-2857, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4978), _u4979)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4978, tc_Nat_Onat), _u4980), _u4979) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u4978), skolem111(_u4980, _u4979, _u4978)), _u4979)) )).
% 12.54/12.77 cnf(matrix-2858, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4978), _u4979)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4978, tc_Nat_Onat), _u4980), _u4979) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u4980, skolem111(_u4980, _u4979, _u4978)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2859, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4978), _u4979)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4978, tc_Nat_Onat), _u4980), _u4979) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u4978), _u4974), _u4979)) | ( skolem111(_u4980, _u4979, _u4978) = _u4974) | ( hAPP(_u4980, _u4974) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2860, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4978), _u4979)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4978, tc_Nat_Onat), _u4980), _u4979) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u4978), _u4977), _u4979)) | ( hAPP(_u4980, _u4977) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u4978), skolem112(_u4980, _u4979, _u4978, _u4977)), _u4979)) )).
% 12.54/12.77 cnf(matrix-2861, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4978), _u4979)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4978, tc_Nat_Onat), _u4980), _u4979) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u4978), _u4977), _u4979)) | ( hAPP(_u4980, _u4977) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u4977 != skolem112(_u4980, _u4979, _u4978, _u4977)) )).
% 12.54/12.77 cnf(matrix-2862, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4978), _u4979)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4978, tc_Nat_Onat), _u4980), _u4979) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u4978), _u4977), _u4979)) | ( hAPP(_u4980, _u4977) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u4980, skolem112(_u4980, _u4979, _u4978, _u4977)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2863, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4981), _u4982)) | ~hBOOL(hAPP(hAPP(c_member(_u4981), _u4983), _u4982)) | ( hAPP(c_Finite__Set_Ocard(_u4981), hAPP(hAPP(c_Set_Oinsert(_u4981), _u4983), _u4982)) = hAPP(c_Finite__Set_Ocard(_u4981), _u4982)) )).
% 12.54/12.77 cnf(matrix-2864, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4981), _u4982)) | hBOOL(hAPP(hAPP(c_member(_u4981), _u4983), _u4982)) | ( hAPP(c_Finite__Set_Ocard(_u4981), hAPP(hAPP(c_Set_Oinsert(_u4981), _u4983), _u4982)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u4981), _u4982))) )).
% 12.54/12.77 cnf(matrix-2865, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4984), _u4985)) | hBOOL(hAPP(hAPP(c_member(_u4984), _u4986), _u4985)) | ( hAPP(c_Finite__Set_Ocard(_u4984), hAPP(hAPP(c_Set_Oinsert(_u4984), _u4986), _u4985)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u4984), _u4985))) )).
% 12.54/12.77 cnf(matrix-2866, plain, ( ~class_Rings_Olinordered__semiring__1(_u4987) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4987), _u4988), _u4989)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4987), _u4990), _u4989)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4987), c_Groups_Ozero__class_Ozero(_u4987)), _u4991)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4987), c_Groups_Ozero__class_Ozero(_u4987)), _u4992)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4987), _u4991), _u4992) != c_Groups_Oone__class_Oone(_u4987)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4987), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4987), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4987), _u4991), _u4988)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4987), _u4992), _u4990))), _u4989)) )).
% 12.54/12.77 cnf(matrix-2867, plain, ( ~class_Groups_Ocomm__monoid__add(_u4993) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4994), _u4995)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4993), _u4996), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u4994), _u4995)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4993), hAPP(_u4996, _u4994)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4993), _u4996), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u4994)), _u4995)))) )).
% 12.54/12.77 cnf(matrix-2868, plain, ( ~class_Groups_Oab__semigroup__mult(_u4997) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4998), _u4999)) | hBOOL(hAPP(hAPP(c_member(_u4998), _u5000), _u4999)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4997, _u4998, c_Groups_Otimes__class_Otimes(_u4997)), _u5001), _u5002), hAPP(hAPP(c_Set_Oinsert(_u4998), _u5000), _u4999)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4997), hAPP(_u5001, _u5000)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4997, _u4998, c_Groups_Otimes__class_Otimes(_u4997)), _u5001), _u5002), _u4999))) )).
% 12.54/12.77 cnf(matrix-2869, plain, ( ~class_Groups_Ocomm__monoid__add(_u5003) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5004), _u5005)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5003), _u5006), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u5004, _u5005)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5003), hAPP(_u5006, _u5004)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5003), _u5006), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u5004), _u5005)))) )).
% 12.54/12.77 cnf(matrix-2870, 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(_u5009), _u5011))) | ( _u5011 != c_Orderings_Obot__class_Obot(tc_fun(_u5009, tc_HOL_Obool))) )).
% 12.54/12.77 cnf(matrix-2871, 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(_u5009), _u5011))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5009), _u5011)) )).
% 12.54/12.77 cnf(matrix-2872, plain, ( ( _u5012 = c_Orderings_Obot__class_Obot(tc_fun(_u5010, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5010), _u5012)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u5010), _u5012))) )).
% 12.54/12.77 cnf(matrix-2873, plain, ( ~class_Groups_Ocomm__monoid__mult(_u5013) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5014), _u5015)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5014, _u5013), _u5016), _u5015) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5013, _u5014, c_Groups_Otimes__class_Otimes(_u5013)), _u5016), c_Groups_Oone__class_Oone(_u5013)), _u5015)) )).
% 12.54/12.77 cnf(matrix-2874, plain, ( ~class_Groups_Ocomm__monoid__mult(_u5013) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5014), _u5015)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5014, _u5013), _u5016), _u5015) = c_Groups_Oone__class_Oone(_u5013)) )).
% 12.54/12.77 cnf(matrix-2875, plain, ( ~class_Groups_Ocomm__monoid__mult(_u5017) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5018), _u5019)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5018, _u5017), _u5020), _u5019) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5017, _u5018, c_Groups_Otimes__class_Otimes(_u5017)), _u5020), c_Groups_Oone__class_Oone(_u5017)), _u5019)) )).
% 12.54/12.77 cnf(matrix-2876, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5021), c_Orderings_Otop__class_Otop(tc_fun(_u5021, 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(_u5021), c_Orderings_Otop__class_Otop(tc_fun(_u5021, tc_HOL_Obool))))) )).
% 12.54/12.77 cnf(matrix-2877, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5022), _u5023)) | ( hAPP(c_Finite__Set_Ocard(_u5022), hAPP(hAPP(c_Set_Oinsert(_u5022), _u5024), _u5023)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u5022), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5022, tc_HOL_Obool)), _u5023), hAPP(hAPP(c_Set_Oinsert(_u5022), _u5024), c_Orderings_Obot__class_Obot(tc_fun(_u5022, tc_HOL_Obool))))))) )).
% 12.54/12.77 cnf(matrix-2878, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u5025, _u5026)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u5025, _u5026), tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u5026), c_Orderings_Otop__class_Otop(tc_fun(_u5026, tc_HOL_Obool))) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5025), c_Orderings_Otop__class_Otop(tc_fun(_u5025, tc_HOL_Obool)))) )).
% 12.54/12.77 cnf(matrix-2879, plain, ( ( _u5029 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5029), _u5031) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2880, plain, ( ( _u5030 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5030), _u5032) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5032), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5030), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u5032))) )).
% 12.54/12.77 cnf(matrix-2881, plain, ( ( _u5035 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5035), _u5037) = _u5037) )).
% 12.54/12.77 cnf(matrix-2882, plain, ( ( _u5036 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5036), _u5038) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5036), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u5038))) )).
% 12.54/12.77 cnf(matrix-2883, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5039)) | ( _u5039 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5039), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.54/12.77 cnf(matrix-2884, plain, ( ~class_Rings_Olinordered__ring__strict(_u5040) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5040), c_Groups_Ozero__class_Ozero(_u5040)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5040), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5040), _u5041), _u5041)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5040), _u5042), _u5042)))) | ( _u5041 != c_Groups_Ozero__class_Ozero(_u5040)) | ( _u5042 != c_Groups_Ozero__class_Ozero(_u5040)) )).
% 12.54/12.77 cnf(matrix-2885, plain, ( ~class_Rings_Olinordered__ring__strict(_u5040) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5040), c_Groups_Ozero__class_Ozero(_u5040)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5040), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5040), _u5041), _u5041)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5040), _u5042), _u5042)))) | ( _u5041 = c_Groups_Ozero__class_Ozero(_u5040)) )).
% 12.54/12.77 cnf(matrix-2886, plain, ( ~class_Rings_Olinordered__ring__strict(_u5040) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5040), c_Groups_Ozero__class_Ozero(_u5040)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5040), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5040), _u5041), _u5041)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5040), _u5042), _u5042)))) | ( _u5042 = c_Groups_Ozero__class_Ozero(_u5040)) )).
% 12.54/12.77 cnf(matrix-2887, plain, ( ~class_Rings_Olinordered__ring(_u5043) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5043), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5043), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5043), _u5044), _u5044)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5043), _u5045), _u5045))), c_Groups_Ozero__class_Ozero(_u5043))) )).
% 12.54/12.77 cnf(matrix-2888, plain, ( ~class_Rings_Olinordered__ring__strict(_u5046) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5046), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5046), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5046), _u5047), _u5047)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5046), _u5048), _u5048))), c_Groups_Ozero__class_Ozero(_u5046))) | ( _u5047 = c_Groups_Ozero__class_Ozero(_u5046)) )).
% 12.54/12.77 cnf(matrix-2889, plain, ( ~class_Rings_Olinordered__ring__strict(_u5046) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5046), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5046), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5046), _u5047), _u5047)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5046), _u5048), _u5048))), c_Groups_Ozero__class_Ozero(_u5046))) | ( _u5048 = c_Groups_Ozero__class_Ozero(_u5046)) )).
% 12.54/12.77 cnf(matrix-2890, plain, ( ~class_Rings_Olinordered__ring__strict(_u5046) | ( _u5047 != c_Groups_Ozero__class_Ozero(_u5046)) | ( _u5048 != c_Groups_Ozero__class_Ozero(_u5046)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5046), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5046), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5046), _u5047), _u5047)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5046), _u5048), _u5048))), c_Groups_Ozero__class_Ozero(_u5046))) )).
% 12.54/12.77 cnf(matrix-2891, plain, ( ~class_Rings_Olinordered__ring(_u5049) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5049), c_Groups_Ozero__class_Ozero(_u5049)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5049), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5049), _u5050), _u5050)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5049), _u5051), _u5051)))) )).
% 12.54/12.77 cnf(matrix-2892, plain, ( ( c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2893, plain, ( ~class_Rings_Olinordered__ring__strict(_u5052) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5052), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5052), _u5053), _u5053)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5052), _u5054), _u5054)) != c_Groups_Ozero__class_Ozero(_u5052)) | ( _u5053 = c_Groups_Ozero__class_Ozero(_u5052)) )).
% 12.54/12.77 cnf(matrix-2894, plain, ( ~class_Rings_Olinordered__ring__strict(_u5052) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5052), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5052), _u5053), _u5053)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5052), _u5054), _u5054)) != c_Groups_Ozero__class_Ozero(_u5052)) | ( _u5054 = c_Groups_Ozero__class_Ozero(_u5052)) )).
% 12.54/12.77 cnf(matrix-2895, plain, ( ~class_Rings_Olinordered__ring__strict(_u5052) | ( _u5053 != c_Groups_Ozero__class_Ozero(_u5052)) | ( _u5054 != c_Groups_Ozero__class_Ozero(_u5052)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5052), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5052), _u5053), _u5053)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5052), _u5054), _u5054)) = c_Groups_Ozero__class_Ozero(_u5052)) )).
% 12.54/12.77 cnf(matrix-2896, plain, ( ( hAPP(c_Nat_OSuc, _u5055) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u5055)) )).
% 12.54/12.77 cnf(matrix-2897, plain, ( ( hAPP(c_Nat_OSuc, _u5056) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5056), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.54/12.77 cnf(matrix-2898, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5057), hAPP(c_Nat_OSuc, _u5058)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5057), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u5058)) )).
% 12.54/12.77 cnf(matrix-2899, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5059), _u5065)) | ~hBOOL(hAPP(_u5067, _u5059)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem113(_u5067, _u5065)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u5065))) )).
% 12.54/12.77 cnf(matrix-2900, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5059), _u5065)) | ~hBOOL(hAPP(_u5067, _u5059)) | hBOOL(hAPP(_u5067, skolem113(_u5067, _u5065))) )).
% 12.54/12.77 cnf(matrix-2901, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u5061), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u5066))) | ~hBOOL(hAPP(_u5068, _u5061)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem114(_u5068, _u5066)), _u5066)) )).
% 12.54/12.77 cnf(matrix-2902, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u5061), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u5066))) | ~hBOOL(hAPP(_u5068, _u5061)) | hBOOL(hAPP(_u5068, skolem114(_u5068, _u5066))) )).
% 12.54/12.77 cnf(matrix-2903, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u5070), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u5075))) | hBOOL(hAPP(_u5077, _u5070)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem115(_u5077, _u5075)), _u5075)) )).
% 12.54/12.77 cnf(matrix-2904, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u5070), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u5075))) | hBOOL(hAPP(_u5077, _u5070)) | ~hBOOL(hAPP(_u5077, skolem115(_u5077, _u5075))) )).
% 12.54/12.77 cnf(matrix-2905, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5072), _u5076)) | hBOOL(hAPP(_u5078, _u5072)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem116(_u5078, _u5076)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u5076))) )).
% 12.54/12.77 cnf(matrix-2906, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5072), _u5076)) | hBOOL(hAPP(_u5078, _u5072)) | ~hBOOL(hAPP(_u5078, skolem116(_u5078, _u5076))) )).
% 12.54/12.77 cnf(matrix-2907, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5079), _u5085)) | ~hBOOL(hAPP(_u5087, _u5079)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem117(_u5087, _u5085)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5085))) )).
% 12.54/12.77 cnf(matrix-2908, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5079), _u5085)) | ~hBOOL(hAPP(_u5087, _u5079)) | hBOOL(hAPP(_u5087, skolem117(_u5087, _u5085))) )).
% 12.54/12.77 cnf(matrix-2909, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u5081), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5086))) | ~hBOOL(hAPP(_u5088, _u5081)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem118(_u5088, _u5086)), _u5086)) )).
% 12.54/12.77 cnf(matrix-2910, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u5081), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5086))) | ~hBOOL(hAPP(_u5088, _u5081)) | hBOOL(hAPP(_u5088, skolem118(_u5088, _u5086))) )).
% 12.54/12.77 cnf(matrix-2911, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u5090), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5095))) | hBOOL(hAPP(_u5097, _u5090)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem119(_u5097, _u5095)), _u5095)) )).
% 12.54/12.77 cnf(matrix-2912, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u5090), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5095))) | hBOOL(hAPP(_u5097, _u5090)) | ~hBOOL(hAPP(_u5097, skolem119(_u5097, _u5095))) )).
% 12.54/12.77 cnf(matrix-2913, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5092), _u5096)) | hBOOL(hAPP(_u5098, _u5092)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem120(_u5098, _u5096)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5096))) )).
% 12.54/12.77 cnf(matrix-2914, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5092), _u5096)) | hBOOL(hAPP(_u5098, _u5092)) | ~hBOOL(hAPP(_u5098, skolem120(_u5098, _u5096))) )).
% 12.54/12.77 cnf(matrix-2915, plain, ( ~class_Rings_Olinordered__idom(_u5099) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5099), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5099), _u5100), _u5100)), c_Groups_Ozero__class_Ozero(_u5099))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5099), _u5100), c_Groups_Ozero__class_Ozero(_u5099))) )).
% 12.54/12.77 cnf(matrix-2916, plain, ( ~class_Rings_Olinordered__idom(_u5099) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5099), _u5100), c_Groups_Ozero__class_Ozero(_u5099))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5099), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5099), _u5100), _u5100)), c_Groups_Ozero__class_Ozero(_u5099))) )).
% 12.54/12.77 cnf(matrix-2917, plain, ( ~c_Big__Operators_Ocomm__monoid__big(_u5101, _u5102, _u5103, _u5104, _u5105) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5102), _u5106)) | ( hAPP(hAPP(_u5105, _u5107), _u5106) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5101, _u5102, _u5103), _u5107), _u5104), _u5106)) )).
% 12.54/12.77 cnf(matrix-2918, plain, ( ~c_Big__Operators_Ocomm__monoid__big(_u5101, _u5102, _u5103, _u5104, _u5105) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5102), _u5106)) | ( hAPP(hAPP(_u5105, _u5107), _u5106) = _u5104) )).
% 12.54/12.77 cnf(matrix-2919, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5109), _u5110)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5109), _u5111)) | ( hAPP(c_Finite__Set_Ocard(_u5109), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5109, tc_HOL_Obool)), _u5110), _u5111)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5109), _u5110)), hAPP(c_Finite__Set_Ocard(_u5109), _u5111))) | hBOOL(hAPP(hAPP(c_member(_u5109), skolem121(_u5111, _u5110, _u5109)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5109, tc_HOL_Obool)), _u5110), _u5111))) )).
% 12.54/12.77 cnf(matrix-2920, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5109), _u5110)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5109), _u5111)) | ( hAPP(c_Finite__Set_Ocard(_u5109), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5109, tc_HOL_Obool)), _u5110), _u5111)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5109), _u5110)), hAPP(c_Finite__Set_Ocard(_u5109), _u5111))) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2921, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u5113), _u5117)) | ( hAPP(hAPP(_u5116, _u5118), _u5117) = _u5115) | ~c_Big__Operators_Ocomm__monoid__big(_u5112, _u5113, _u5114, _u5115, _u5116) )).
% 12.54/12.77 cnf(matrix-2922, plain, ( ~class_Groups_Olinordered__ab__group__add(_u5119) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5119), _u5120), _u5120) != c_Groups_Ozero__class_Ozero(_u5119)) | ( _u5120 = c_Groups_Ozero__class_Ozero(_u5119)) )).
% 12.54/12.77 cnf(matrix-2923, plain, ( ~class_Groups_Olinordered__ab__group__add(_u5119) | ( _u5120 != c_Groups_Ozero__class_Ozero(_u5119)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5119), _u5120), _u5120) = c_Groups_Ozero__class_Ozero(_u5119)) )).
% 12.54/12.77 cnf(matrix-2924, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u5122) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5123), _u5124)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5123, tc_HOL_Obool)), _u5125), _u5124)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5122), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5123, _u5122), _u5126), _u5125)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5123, _u5122), _u5126), _u5124))) | hBOOL(hAPP(hAPP(c_member(_u5123), skolem122(_u5126, _u5125, _u5124, _u5123, _u5122)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5123, tc_HOL_Obool)), _u5124), _u5125))) )).
% 12.54/12.77 cnf(matrix-2925, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u5122) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5123), _u5124)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5123, tc_HOL_Obool)), _u5125), _u5124)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5122), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5123, _u5122), _u5126), _u5125)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5123, _u5122), _u5126), _u5124))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5122), c_Groups_Ozero__class_Ozero(_u5122)), hAPP(_u5126, skolem122(_u5126, _u5125, _u5124, _u5123, _u5122)))) )).
% 12.54/12.77 cnf(matrix-2926, plain, ( ~class_Groups_Ocomm__monoid__mult(_u5128) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5129), _u5130)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5129), _u5131)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5128, _u5129, c_Groups_Otimes__class_Otimes(_u5128)), _u5132), c_Groups_Oone__class_Oone(_u5128)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5129, tc_HOL_Obool)), _u5130), _u5131)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5128), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5128, _u5129, c_Groups_Otimes__class_Otimes(_u5128)), _u5132), c_Groups_Oone__class_Oone(_u5128)), _u5130)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5128, _u5129, c_Groups_Otimes__class_Otimes(_u5128)), _u5132), c_Groups_Oone__class_Oone(_u5128)), _u5131))) | hBOOL(hAPP(hAPP(c_member(_u5129), skolem123(_u5132, _u5131, _u5130, _u5129, _u5128)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5129, tc_HOL_Obool)), _u5130), _u5131))) )).
% 12.54/12.77 cnf(matrix-2927, plain, ( ~class_Groups_Ocomm__monoid__mult(_u5128) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5129), _u5130)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5129), _u5131)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5128, _u5129, c_Groups_Otimes__class_Otimes(_u5128)), _u5132), c_Groups_Oone__class_Oone(_u5128)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5129, tc_HOL_Obool)), _u5130), _u5131)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5128), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5128, _u5129, c_Groups_Otimes__class_Otimes(_u5128)), _u5132), c_Groups_Oone__class_Oone(_u5128)), _u5130)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5128, _u5129, c_Groups_Otimes__class_Otimes(_u5128)), _u5132), c_Groups_Oone__class_Oone(_u5128)), _u5131))) | ( hAPP(_u5132, skolem123(_u5132, _u5131, _u5130, _u5129, _u5128)) != c_Groups_Oone__class_Oone(_u5128)) )).
% 12.54/12.77 cnf(matrix-2928, plain, ( ~class_Groups_Ocomm__monoid__add(_u5134) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5135), _u5136)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5135), _u5137)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5135, _u5134), _u5138), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5135, tc_HOL_Obool)), _u5136), _u5137)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5134), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5135, _u5134), _u5138), _u5136)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5135, _u5134), _u5138), _u5137))) | hBOOL(hAPP(hAPP(c_member(_u5135), skolem124(_u5138, _u5137, _u5136, _u5135, _u5134)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5135, tc_HOL_Obool)), _u5136), _u5137))) )).
% 12.54/12.77 cnf(matrix-2929, plain, ( ~class_Groups_Ocomm__monoid__add(_u5134) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5135), _u5136)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5135), _u5137)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5135, _u5134), _u5138), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5135, tc_HOL_Obool)), _u5136), _u5137)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5134), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5135, _u5134), _u5138), _u5136)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5135, _u5134), _u5138), _u5137))) | ( hAPP(_u5138, skolem124(_u5138, _u5137, _u5136, _u5135, _u5134)) != c_Groups_Ozero__class_Ozero(_u5134)) )).
% 12.54/12.77 cnf(matrix-2930, plain, ( ~class_Groups_Ocomm__monoid__add(_u5140) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5141), _u5142)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5141), _u5143)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5141, _u5140), _u5144), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5141, tc_HOL_Obool)), _u5142), _u5143)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5140), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5141, _u5140), _u5144), _u5142)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5141, _u5140), _u5144), _u5143))) | hBOOL(hAPP(hAPP(c_member(_u5141), skolem125(_u5144, _u5143, _u5142, _u5141, _u5140)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5141, tc_HOL_Obool)), _u5142), _u5143))) )).
% 12.54/12.77 cnf(matrix-2931, plain, ( ~class_Groups_Ocomm__monoid__add(_u5140) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5141), _u5142)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5141), _u5143)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5141, _u5140), _u5144), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5141, tc_HOL_Obool)), _u5142), _u5143)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5140), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5141, _u5140), _u5144), _u5142)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5141, _u5140), _u5144), _u5143))) | ( hAPP(_u5144, skolem125(_u5144, _u5143, _u5142, _u5141, _u5140)) != c_Groups_Ozero__class_Ozero(_u5140)) )).
% 12.54/12.77 cnf(matrix-2932, plain, ( ( hAPP(c_Finite__Set_Ocard(_u5152), _u5154) != hAPP(c_Nat_OSuc, _u5156)) | ( _u5154 = hAPP(hAPP(c_Set_Oinsert(_u5152), skolem126(_u5156, _u5154, _u5152)), skolem127(_u5156, _u5154, _u5152))) )).
% 12.54/12.77 cnf(matrix-2933, plain, ( ( hAPP(c_Finite__Set_Ocard(_u5152), _u5154) != hAPP(c_Nat_OSuc, _u5156)) | ~hBOOL(hAPP(hAPP(c_member(_u5152), skolem126(_u5156, _u5154, _u5152)), skolem127(_u5156, _u5154, _u5152))) )).
% 12.54/12.77 cnf(matrix-2934, plain, ( ( hAPP(c_Finite__Set_Ocard(_u5152), _u5154) != hAPP(c_Nat_OSuc, _u5156)) | ( hAPP(c_Finite__Set_Ocard(_u5152), skolem127(_u5156, _u5154, _u5152)) = _u5156) )).
% 12.54/12.77 cnf(matrix-2935, plain, ( ( hAPP(c_Finite__Set_Ocard(_u5152), _u5154) != hAPP(c_Nat_OSuc, _u5156)) | ( _u5156 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem127(_u5156, _u5154, _u5152) = c_Orderings_Obot__class_Obot(tc_fun(_u5152, tc_HOL_Obool))) )).
% 12.54/12.77 cnf(matrix-2936, plain, ( ( hAPP(c_Finite__Set_Ocard(_u5153), _u5155) = hAPP(c_Nat_OSuc, _u5157)) | ( _u5155 != hAPP(hAPP(c_Set_Oinsert(_u5153), _u5148), _u5147)) | hBOOL(hAPP(hAPP(c_member(_u5153), _u5148), _u5147)) | ( hAPP(c_Finite__Set_Ocard(_u5153), _u5147) != _u5157) | ( _u5157 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-2937, plain, ( ( hAPP(c_Finite__Set_Ocard(_u5153), _u5155) = hAPP(c_Nat_OSuc, _u5157)) | ( _u5155 != hAPP(hAPP(c_Set_Oinsert(_u5153), _u5148), _u5147)) | hBOOL(hAPP(hAPP(c_member(_u5153), _u5148), _u5147)) | ( hAPP(c_Finite__Set_Ocard(_u5153), _u5147) != _u5157) | ( _u5147 != c_Orderings_Obot__class_Obot(tc_fun(_u5153, tc_HOL_Obool))) )).
% 12.54/12.77 cnf(matrix-2938, plain, ( ~class_Groups_Ocomm__monoid__add(_u5159) | ~class_Groups_Oordered__ab__semigroup__add(_u5159) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5160), _u5161)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5160, tc_HOL_Obool)), _u5162), _u5161)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5159), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5160, _u5159), _u5163), _u5162)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5160, _u5159), _u5163), _u5161))) | hBOOL(hAPP(hAPP(c_member(_u5160), skolem128(_u5163, _u5162, _u5161, _u5160, _u5159)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5160, tc_HOL_Obool)), _u5161), _u5162))) )).
% 12.54/12.77 cnf(matrix-2939, plain, ( ~class_Groups_Ocomm__monoid__add(_u5159) | ~class_Groups_Oordered__ab__semigroup__add(_u5159) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5160), _u5161)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5160, tc_HOL_Obool)), _u5162), _u5161)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5159), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5160, _u5159), _u5163), _u5162)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5160, _u5159), _u5163), _u5161))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5159), c_Groups_Ozero__class_Ozero(_u5159)), hAPP(_u5163, skolem128(_u5163, _u5162, _u5161, _u5160, _u5159)))) )).
% 12.54/12.77 cnf(matrix-2940, plain, ( ~class_Rings_Olinordered__idom(_u5164) | ~hBOOL(hAPP(hAPP(c_member(_u5164), _u5165), c_Int_Oring__1__class_OInts(_u5164))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5164), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5164), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5164), c_Groups_Oone__class_Oone(_u5164)), _u5165)), _u5165)), c_Groups_Ozero__class_Ozero(_u5164))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5164), _u5165), c_Groups_Ozero__class_Ozero(_u5164))) )).
% 12.54/12.77 cnf(matrix-2941, plain, ( ~class_Rings_Olinordered__idom(_u5164) | ~hBOOL(hAPP(hAPP(c_member(_u5164), _u5165), c_Int_Oring__1__class_OInts(_u5164))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5164), _u5165), c_Groups_Ozero__class_Ozero(_u5164))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5164), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5164), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5164), c_Groups_Oone__class_Oone(_u5164)), _u5165)), _u5165)), c_Groups_Ozero__class_Ozero(_u5164))) )).
% 12.54/12.77 cnf(matrix-2942, plain, ( ~class_Rings_Oring__1(_u5166) | hBOOL(hAPP(hAPP(c_member(_u5166), c_Groups_Ozero__class_Ozero(_u5166)), c_Int_Oring__1__class_OInts(_u5166))) )).
% 12.54/12.77 cnf(matrix-2943, plain, ( ~class_Rings_Oring__1(_u5167) | ~hBOOL(hAPP(hAPP(c_member(_u5167), _u5168), c_Int_Oring__1__class_OInts(_u5167))) | ~hBOOL(hAPP(hAPP(c_member(_u5167), _u5169), c_Int_Oring__1__class_OInts(_u5167))) | hBOOL(hAPP(hAPP(c_member(_u5167), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5167), _u5168), _u5169)), c_Int_Oring__1__class_OInts(_u5167))) )).
% 12.54/12.77 cnf(matrix-2944, plain, ( ~class_Rings_Oring__1(_u5170) | ~hBOOL(hAPP(hAPP(c_member(_u5170), _u5171), c_Int_Oring__1__class_OInts(_u5170))) | ~hBOOL(hAPP(hAPP(c_member(_u5170), _u5172), c_Int_Oring__1__class_OInts(_u5170))) | hBOOL(hAPP(hAPP(c_member(_u5170), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5170), _u5171), _u5172)), c_Int_Oring__1__class_OInts(_u5170))) )).
% 12.54/12.77 cnf(matrix-2945, plain, ( ~class_Rings_Oring__1(_u5173) | ~hBOOL(hAPP(hAPP(c_member(_u5173), _u5174), c_Int_Oring__1__class_OInts(_u5173))) | ~hBOOL(hAPP(hAPP(c_member(_u5173), _u5175), c_Int_Oring__1__class_OInts(_u5173))) | hBOOL(hAPP(hAPP(c_member(_u5173), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5173), _u5174), _u5175)), c_Int_Oring__1__class_OInts(_u5173))) )).
% 12.54/12.77 cnf(matrix-2946, plain, ( ~class_Rings_Oring__1(_u5176) | hBOOL(hAPP(hAPP(c_member(_u5176), c_Groups_Oone__class_Oone(_u5176)), c_Int_Oring__1__class_OInts(_u5176))) )).
% 12.54/12.77 cnf(matrix-2947, plain, ( ~class_Rings_Oring__1(_u5177) | ~hBOOL(hAPP(hAPP(c_member(_u5177), _u5178), c_Int_Oring__1__class_OInts(_u5177))) | hBOOL(hAPP(hAPP(c_member(_u5177), hAPP(c_Groups_Ouminus__class_Ouminus(_u5177), _u5178)), c_Int_Oring__1__class_OInts(_u5177))) )).
% 12.54/12.77 cnf(matrix-2948, plain, ( ~class_Int_Oring__char__0(_u5179) | ~hBOOL(hAPP(hAPP(c_member(_u5179), _u5180), c_Int_Oring__1__class_OInts(_u5179))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5179), _u5180), _u5180) != c_Groups_Ozero__class_Ozero(_u5179)) | ( _u5180 = c_Groups_Ozero__class_Ozero(_u5179)) )).
% 12.54/12.77 cnf(matrix-2949, plain, ( ~class_Int_Oring__char__0(_u5179) | ~hBOOL(hAPP(hAPP(c_member(_u5179), _u5180), c_Int_Oring__1__class_OInts(_u5179))) | ( _u5180 != c_Groups_Ozero__class_Ozero(_u5179)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5179), _u5180), _u5180) = c_Groups_Ozero__class_Ozero(_u5179)) )).
% 12.54/12.77 cnf(matrix-2950, plain, ( ~class_Int_Oring__char__0(_u5181) | ~hBOOL(hAPP(hAPP(c_member(_u5181), _u5182), c_Int_Oring__1__class_OInts(_u5181))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5181), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5181), c_Groups_Oone__class_Oone(_u5181)), _u5182)), _u5182) != c_Groups_Ozero__class_Ozero(_u5181)) )).
% 12.54/12.77 cnf(matrix-2951, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5187), _u5189)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5191), _u5193)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u5187, _u5191)), c_Sum__Type_OPlus(_u5187, _u5191, _u5189, _u5193)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5187), _u5189)), hAPP(c_Finite__Set_Ocard(_u5191), _u5193))) )).
% 12.54/12.77 cnf(matrix-2952, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u5188, _u5192)), c_Sum__Type_OPlus(_u5188, _u5192, _u5190, _u5194)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5188), _u5190)) )).
% 12.54/12.77 cnf(matrix-2953, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u5188, _u5192)), c_Sum__Type_OPlus(_u5188, _u5192, _u5190, _u5194)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5192), _u5194)) )).
% 12.54/12.77 cnf(matrix-2954, plain, ( ~class_Fields_Ofield(_u5195) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5196), _u5197)) | ( hAPP(_u5198, _u5199) = c_Groups_Ozero__class_Ozero(_u5195)) | ~hBOOL(hAPP(hAPP(c_member(_u5196), _u5199), _u5197)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5196, _u5195), _u5198), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5196, tc_HOL_Obool)), _u5197), hAPP(hAPP(c_Set_Oinsert(_u5196), _u5199), c_Orderings_Obot__class_Obot(tc_fun(_u5196, tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5195), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5196, _u5195), _u5198), _u5197)), hAPP(_u5198, _u5199))) )).
% 12.54/12.77 cnf(matrix-2955, plain, ( ~class_Fields_Ofield(_u5195) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5196), _u5197)) | ( hAPP(_u5198, _u5199) = c_Groups_Ozero__class_Ozero(_u5195)) | hBOOL(hAPP(hAPP(c_member(_u5196), _u5199), _u5197)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5196, _u5195), _u5198), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5196, tc_HOL_Obool)), _u5197), hAPP(hAPP(c_Set_Oinsert(_u5196), _u5199), c_Orderings_Obot__class_Obot(tc_fun(_u5196, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5196, _u5195), _u5198), _u5197)) )).
% 12.54/12.77 cnf(matrix-2956, plain, ( hBOOL(hAPP(_u5202, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u5202, _u5203)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem129(_u5203, _u5202)), _u5203)) )).
% 12.54/12.77 cnf(matrix-2957, plain, ( hBOOL(hAPP(_u5202, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u5202, _u5203)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5200), skolem129(_u5203, _u5202))) | ~hBOOL(hAPP(_u5202, _u5200)) )).
% 12.54/12.77 cnf(matrix-2958, plain, ( hBOOL(hAPP(_u5202, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u5202, _u5203)) | hBOOL(hAPP(_u5202, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem129(_u5203, _u5202)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.54/12.77 cnf(matrix-2959, plain, ( ~class_Groups_Ocomm__monoid__add(_u5205) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5206), _u5207)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5206, tc_HOL_Obool)), _u5208), _u5207)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5206, _u5205), _u5209), _u5207) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5206, _u5205), _u5209), _u5208)) | hBOOL(hAPP(hAPP(c_member(_u5206), skolem130(_u5209, _u5208, _u5207, _u5206, _u5205)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5206, tc_HOL_Obool)), _u5207), _u5208))) )).
% 12.54/12.77 cnf(matrix-2960, plain, ( ~class_Groups_Ocomm__monoid__add(_u5205) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5206), _u5207)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5206, tc_HOL_Obool)), _u5208), _u5207)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5206, _u5205), _u5209), _u5207) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5206, _u5205), _u5209), _u5208)) | ( hAPP(_u5209, skolem130(_u5209, _u5208, _u5207, _u5206, _u5205)) != c_Groups_Ozero__class_Ozero(_u5205)) )).
% 12.54/12.77 cnf(matrix-2961, plain, ( ~class_Groups_Ocomm__monoid__add(_u5211) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5212), _u5213)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5212, tc_HOL_Obool)), _u5214), _u5213)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5212, _u5211), _u5215), _u5214) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5212, _u5211), _u5215), _u5213)) | hBOOL(hAPP(hAPP(c_member(_u5212), skolem131(_u5215, _u5214, _u5213, _u5212, _u5211)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5212, tc_HOL_Obool)), _u5213), _u5214))) )).
% 12.54/12.77 cnf(matrix-2962, plain, ( ~class_Groups_Ocomm__monoid__add(_u5211) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5212), _u5213)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5212, tc_HOL_Obool)), _u5214), _u5213)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5212, _u5211), _u5215), _u5214) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5212, _u5211), _u5215), _u5213)) | ( hAPP(_u5215, skolem131(_u5215, _u5214, _u5213, _u5212, _u5211)) != c_Groups_Ozero__class_Ozero(_u5211)) )).
% 12.54/12.77 cnf(matrix-2963, plain, ( ~class_Rings_Olinordered__idom(_u5216) | ( c_Groups_Osgn__class_Osgn(_u5216, _u5217) != hAPP(c_Groups_Ouminus__class_Ouminus(_u5216), c_Groups_Oone__class_Oone(_u5216))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5216), _u5217), c_Groups_Ozero__class_Ozero(_u5216))) )).
% 12.54/12.77 cnf(matrix-2964, plain, ( ~class_Rings_Olinordered__idom(_u5216) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5216), _u5217), c_Groups_Ozero__class_Ozero(_u5216))) | ( c_Groups_Osgn__class_Osgn(_u5216, _u5217) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5216), c_Groups_Oone__class_Oone(_u5216))) )).
% 12.54/12.77 cnf(matrix-2965, plain, ( ~class_Rings_Olinordered__idom(_u5218) | ( c_Groups_Osgn__class_Osgn(_u5218, c_Groups_Osgn__class_Osgn(_u5218, _u5219)) = c_Groups_Osgn__class_Osgn(_u5218, _u5219)) )).
% 12.54/12.77 cnf(matrix-2966, plain, ( ~class_Rings_Odivision__ring(_u5220) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5220), c_Groups_Ozero__class_Ozero(_u5220)), _u5221) = c_Groups_Ozero__class_Ozero(_u5220)) )).
% 12.54/12.77 cnf(matrix-2967, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u5222) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5222), _u5223), c_Groups_Ozero__class_Ozero(_u5222)) = c_Groups_Ozero__class_Ozero(_u5222)) )).
% 12.54/12.77 cnf(matrix-2968, plain, ( ~class_Rings_Odivision__ring(_u5224) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5224), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5224), _u5225), _u5226)), _u5227) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5224), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5224), _u5225), _u5227)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5224), _u5226), _u5227))) )).
% 12.54/12.77 cnf(matrix-2969, plain, ( ~class_Rings_Odivision__ring(_u5228) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5228), _u5229), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5228), _u5230), _u5231)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5228), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5228), _u5229), _u5230)), _u5231)) )).
% 12.54/12.77 cnf(matrix-2970, plain, ( ~class_Rings_Odivision__ring(_u5232) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5232), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5232), _u5233), _u5234)), _u5235) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5232), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5232), _u5233), _u5235)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5232), _u5234), _u5235))) )).
% 12.54/12.77 cnf(matrix-2971, plain, ( ~class_Rings_Odivision__ring(_u5236) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5236), _u5237), c_Groups_Oone__class_Oone(_u5236)) = _u5237) )).
% 12.54/12.77 cnf(matrix-2972, plain, ( ~class_Rings_Odivision__ring(_u5238) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5238), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5238), _u5239), _u5240)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5238), hAPP(c_Groups_Ouminus__class_Ouminus(_u5238), _u5239)), _u5240)) )).
% 12.54/12.77 cnf(matrix-2973, plain, ( ~class_Rings_Olinordered__idom(_u5241) | ( c_Groups_Osgn__class_Osgn(_u5241, _u5242) != c_Groups_Ozero__class_Ozero(_u5241)) | ( _u5242 = c_Groups_Ozero__class_Ozero(_u5241)) )).
% 12.54/12.77 cnf(matrix-2974, plain, ( ~class_Rings_Olinordered__idom(_u5241) | ( _u5242 != c_Groups_Ozero__class_Ozero(_u5241)) | ( c_Groups_Osgn__class_Osgn(_u5241, _u5242) = c_Groups_Ozero__class_Ozero(_u5241)) )).
% 12.54/12.77 cnf(matrix-2975, plain, ( ~class_Groups_Osgn__if(_u5243) | ( c_Groups_Osgn__class_Osgn(_u5243, c_Groups_Ozero__class_Ozero(_u5243)) = c_Groups_Ozero__class_Ozero(_u5243)) )).
% 12.54/12.77 cnf(matrix-2976, plain, ( ~class_Rings_Olinordered__idom(_u5244) | ( c_Groups_Osgn__class_Osgn(_u5244, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5244), _u5245), _u5246)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5244), c_Groups_Osgn__class_Osgn(_u5244, _u5245)), c_Groups_Osgn__class_Osgn(_u5244, _u5246))) )).
% 12.54/12.77 cnf(matrix-2977, plain, ( ~class_Rings_Odivision__ring(_u5247) | ( _u5248 = c_Groups_Ozero__class_Ozero(_u5247)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5247), _u5249), _u5248) != _u5250) | ( _u5249 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5247), _u5250), _u5248)) )).
% 12.54/12.77 cnf(matrix-2978, plain, ( ~class_Rings_Odivision__ring(_u5251) | ( _u5252 = c_Groups_Ozero__class_Ozero(_u5251)) | ( _u5253 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5251), _u5254), _u5252)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5251), _u5253), _u5252) = _u5254) )).
% 12.54/12.77 cnf(matrix-2979, plain, ( ~class_Rings_Odivision__ring(_u5255) | ( _u5256 = c_Groups_Ozero__class_Ozero(_u5255)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5255), _u5257), _u5256) != _u5258) | ( _u5257 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5255), _u5258), _u5256)) )).
% 12.54/12.77 cnf(matrix-2980, plain, ( ~class_Rings_Odivision__ring(_u5255) | ( _u5256 = c_Groups_Ozero__class_Ozero(_u5255)) | ( _u5257 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5255), _u5258), _u5256)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5255), _u5257), _u5256) = _u5258) )).
% 12.54/12.77 cnf(matrix-2981, plain, ( ~class_Rings_Odivision__ring(_u5259) | ( _u5260 = c_Groups_Ozero__class_Ozero(_u5259)) | ( _u5261 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5259), _u5262), _u5260)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5259), _u5261), _u5260) = _u5262) )).
% 12.54/12.77 cnf(matrix-2982, plain, ( ~class_Rings_Odivision__ring(_u5259) | ( _u5260 = c_Groups_Ozero__class_Ozero(_u5259)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5259), _u5261), _u5260) != _u5262) | ( _u5261 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5259), _u5262), _u5260)) )).
% 12.54/12.77 cnf(matrix-2983, plain, ( ~class_Rings_Odivision__ring(_u5263) | ( _u5264 = c_Groups_Ozero__class_Ozero(_u5263)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5263), _u5265), _u5264) != c_Groups_Oone__class_Oone(_u5263)) | ( _u5265 = _u5264) )).
% 12.54/12.77 cnf(matrix-2984, plain, ( ~class_Rings_Odivision__ring(_u5263) | ( _u5264 = c_Groups_Ozero__class_Ozero(_u5263)) | ( _u5265 != _u5264) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5263), _u5265), _u5264) = c_Groups_Oone__class_Oone(_u5263)) )).
% 12.54/12.77 cnf(matrix-2985, plain, ( ~class_Rings_Odivision__ring(_u5266) | ( _u5267 = c_Groups_Ozero__class_Ozero(_u5266)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5266), _u5267), _u5267) = c_Groups_Oone__class_Oone(_u5266)) )).
% 12.54/12.77 cnf(matrix-2986, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u5268) | ( _u5269 != c_Groups_Ozero__class_Ozero(_u5268)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5268), _u5269), _u5269) = c_Groups_Ozero__class_Ozero(_u5268)) )).
% 12.54/12.77 cnf(matrix-2987, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u5268) | ( _u5269 = c_Groups_Ozero__class_Ozero(_u5268)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5268), _u5269), _u5269) = c_Groups_Oone__class_Oone(_u5268)) )).
% 12.54/12.77 cnf(matrix-2988, plain, ( ~class_Rings_Odivision__ring(_u5270) | ( _u5271 = c_Groups_Ozero__class_Ozero(_u5270)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5270), hAPP(c_Groups_Ouminus__class_Ouminus(_u5270), _u5272)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5270), _u5271)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5270), _u5272), _u5271)) )).
% 12.54/12.77 cnf(matrix-2989, plain, ( ~class_Rings_Odivision__ring(_u5273) | ( _u5274 = c_Groups_Ozero__class_Ozero(_u5273)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5273), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5273), _u5275), _u5274)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5273), _u5275), hAPP(c_Groups_Ouminus__class_Ouminus(_u5273), _u5274))) )).
% 12.54/12.77 cnf(matrix-2990, plain, ( ~class_Rings_Olinordered__idom(_u5276) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5276), c_Groups_Osgn__class_Osgn(_u5276, _u5277)), c_Groups_Ozero__class_Ozero(_u5276))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5276), _u5277), c_Groups_Ozero__class_Ozero(_u5276))) )).
% 12.54/12.77 cnf(matrix-2991, plain, ( ~class_Rings_Olinordered__idom(_u5276) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5276), _u5277), c_Groups_Ozero__class_Ozero(_u5276))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5276), c_Groups_Osgn__class_Osgn(_u5276, _u5277)), c_Groups_Ozero__class_Ozero(_u5276))) )).
% 12.54/12.77 cnf(matrix-2992, plain, ( ~class_Rings_Olinordered__idom(_u5278) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5278), c_Groups_Ozero__class_Ozero(_u5278)), c_Groups_Osgn__class_Osgn(_u5278, _u5279))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5278), c_Groups_Ozero__class_Ozero(_u5278)), _u5279)) )).
% 12.54/12.77 cnf(matrix-2993, plain, ( ~class_Rings_Olinordered__idom(_u5278) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5278), c_Groups_Ozero__class_Ozero(_u5278)), _u5279)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5278), c_Groups_Ozero__class_Ozero(_u5278)), c_Groups_Osgn__class_Osgn(_u5278, _u5279))) )).
% 12.54/12.77 cnf(matrix-2994, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u5284, _u5286)), c_Sum__Type_OPlus(_u5284, _u5286, _u5288, _u5290))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5284), _u5288)) )).
% 12.54/12.77 cnf(matrix-2995, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u5284, _u5286)), c_Sum__Type_OPlus(_u5284, _u5286, _u5288, _u5290))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5286), _u5290)) )).
% 12.54/12.77 cnf(matrix-2996, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5285), _u5289)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5287), _u5291)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u5285, _u5287)), c_Sum__Type_OPlus(_u5285, _u5287, _u5289, _u5291))) )).
% 12.54/12.77 cnf(matrix-2997, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5292), _u5293)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5294), _u5295)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u5292, _u5294)), c_Sum__Type_OPlus(_u5292, _u5294, _u5293, _u5295))) )).
% 12.54/12.77 cnf(matrix-2998, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u5296, _u5297)), c_Sum__Type_OPlus(_u5296, _u5297, _u5298, _u5299))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5296), _u5298)) )).
% 12.54/12.77 cnf(matrix-2999, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u5301), _u5303)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u5300, _u5301)), c_Sum__Type_OPlus(_u5300, _u5301, _u5302, _u5303))) )).
% 12.54/12.77 cnf(matrix-3000, plain, ( ~class_Rings_Olinordered__idom(_u5304) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5304), c_Groups_Ozero__class_Ozero(_u5304)), _u5305)) | ( c_Groups_Osgn__class_Osgn(_u5304, _u5305) = c_Groups_Oone__class_Oone(_u5304)) )).
% 12.54/12.77 cnf(matrix-3001, plain, ( ~class_Rings_Olinordered__idom(_u5306) | ( c_Groups_Osgn__class_Osgn(_u5306, _u5307) != c_Groups_Oone__class_Oone(_u5306)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5306), c_Groups_Ozero__class_Ozero(_u5306)), _u5307)) )).
% 12.54/12.77 cnf(matrix-3002, plain, ( ~class_Rings_Olinordered__idom(_u5306) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5306), c_Groups_Ozero__class_Ozero(_u5306)), _u5307)) | ( c_Groups_Osgn__class_Osgn(_u5306, _u5307) = c_Groups_Oone__class_Oone(_u5306)) )).
% 12.54/12.77 cnf(matrix-3003, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5308), _u5309)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5310), _u5311)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u5308, _u5310)), c_Sum__Type_OPlus(_u5308, _u5310, _u5309, _u5311)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u5308), _u5309)), hAPP(c_Finite__Set_Ocard(_u5310), _u5311))) )).
% 12.54/12.77 cnf(matrix-3004, plain, ( ~class_Groups_Osgn__if(_u5312) | ( _u5313 != c_Groups_Ozero__class_Ozero(_u5312)) | ( c_Groups_Osgn__class_Osgn(_u5312, _u5313) = c_Groups_Ozero__class_Ozero(_u5312)) )).
% 12.54/12.77 cnf(matrix-3005, plain, ( ~class_Groups_Osgn__if(_u5312) | ( _u5313 = c_Groups_Ozero__class_Ozero(_u5312)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5312), c_Groups_Ozero__class_Ozero(_u5312)), _u5313)) | ( c_Groups_Osgn__class_Osgn(_u5312, _u5313) = c_Groups_Oone__class_Oone(_u5312)) )).
% 12.54/12.77 cnf(matrix-3006, plain, ( ~class_Groups_Osgn__if(_u5312) | ( _u5313 = c_Groups_Ozero__class_Ozero(_u5312)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5312), c_Groups_Ozero__class_Ozero(_u5312)), _u5313)) | ( c_Groups_Osgn__class_Osgn(_u5312, _u5313) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5312), c_Groups_Oone__class_Oone(_u5312))) )).
% 12.54/12.77 cnf(matrix-3007, plain, ( ~class_Rings_Olinordered__idom(_u5314) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5314), _u5315), c_Groups_Ozero__class_Ozero(_u5314))) | ( c_Groups_Osgn__class_Osgn(_u5314, _u5315) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5314), c_Groups_Oone__class_Oone(_u5314))) )).
% 12.54/12.77 cnf(matrix-3008, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5316) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5316), _u5317), _u5318)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5316), _u5319), c_Groups_Ozero__class_Ozero(_u5316))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5316), c_Groups_Ozero__class_Ozero(_u5316)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5316), _u5317), _u5318))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5316), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5316), _u5319), _u5317)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5316), _u5319), _u5318))) )).
% 12.54/12.77 cnf(matrix-3009, plain, ( ~class_Fields_Olinordered__field(_u5320) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), _u5321), _u5322)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), c_Groups_Ozero__class_Ozero(_u5320)), _u5323)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5320), c_Groups_Ozero__class_Ozero(_u5320)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5320), _u5322), _u5321))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5320), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5320), _u5323), _u5322)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5320), _u5323), _u5321))) )).
% 12.54/12.77 cnf(matrix-3010, plain, ( ~class_Fields_Olinordered__field(_u5324) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5324), _u5325), c_Groups_Ozero__class_Ozero(_u5324))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5324), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5324), _u5326), _u5325)), _u5327)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5324), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5324), _u5327), _u5325)), _u5326)) )).
% 12.54/12.77 cnf(matrix-3011, plain, ( ~class_Fields_Olinordered__field(_u5324) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5324), _u5325), c_Groups_Ozero__class_Ozero(_u5324))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5324), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5324), _u5327), _u5325)), _u5326)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5324), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5324), _u5326), _u5325)), _u5327)) )).
% 12.54/12.77 cnf(matrix-3012, plain, ( ~class_Fields_Olinordered__field(_u5328) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5328), _u5329), c_Groups_Ozero__class_Ozero(_u5328))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5328), _u5330), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5328), _u5331), _u5329))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5328), _u5331), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5328), _u5330), _u5329))) )).
% 12.54/12.77 cnf(matrix-3013, plain, ( ~class_Fields_Olinordered__field(_u5328) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5328), _u5329), c_Groups_Ozero__class_Ozero(_u5328))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5328), _u5331), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5328), _u5330), _u5329))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5328), _u5330), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5328), _u5331), _u5329))) )).
% 12.54/12.77 cnf(matrix-3014, plain, ( ~class_Fields_Olinordered__field(_u5332) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5332), c_Groups_Ozero__class_Ozero(_u5332)), _u5333)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5332), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5332), _u5334), _u5333)), _u5335)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5332), _u5334), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5332), _u5335), _u5333))) )).
% 12.54/12.77 cnf(matrix-3015, plain, ( ~class_Fields_Olinordered__field(_u5336) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5336), c_Groups_Ozero__class_Ozero(_u5336)), _u5337)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5336), _u5338), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5336), _u5339), _u5337))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5336), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5336), _u5338), _u5337)), _u5339)) )).
% 12.54/12.77 cnf(matrix-3016, plain, ( ~class_Fields_Ofield__inverse__zero(_u5340) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5340), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5340), _u5341), _u5342)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5340), _u5343), _u5344)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5340), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5340), _u5341), _u5343)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5340), _u5342), _u5344))) )).
% 12.54/12.77 cnf(matrix-3017, plain, ( ~class_Fields_Ofield__inverse__zero(_u5345) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5345), hAPP(c_Groups_Ouminus__class_Ouminus(_u5345), _u5346)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5345), _u5347)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5345), _u5346), _u5347)) )).
% 12.54/12.77 cnf(matrix-3018, plain, ( ~class_Fields_Ofield__inverse__zero(_u5348) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5348), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5348), _u5349), _u5350)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5348), _u5349), hAPP(c_Groups_Ouminus__class_Ouminus(_u5348), _u5350))) )).
% 12.54/12.77 cnf(matrix-3019, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5351) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5351), _u5352), _u5353)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5351), _u5354), c_Groups_Ozero__class_Ozero(_u5351))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5351), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5351), _u5353), _u5354)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5351), _u5352), _u5354))) )).
% 12.54/12.77 cnf(matrix-3020, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5355) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5355), _u5356), _u5357)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5355), c_Groups_Ozero__class_Ozero(_u5355)), _u5358)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5355), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5355), _u5356), _u5358)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5355), _u5357), _u5358))) )).
% 12.54/12.77 cnf(matrix-3021, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5359) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5359), _u5360), _u5361)), c_Groups_Ozero__class_Ozero(_u5359))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), c_Groups_Ozero__class_Ozero(_u5359)), _u5360)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), _u5360), c_Groups_Ozero__class_Ozero(_u5359))) )).
% 12.54/12.77 cnf(matrix-3022, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5359) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5359), _u5360), _u5361)), c_Groups_Ozero__class_Ozero(_u5359))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), c_Groups_Ozero__class_Ozero(_u5359)), _u5360)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), c_Groups_Ozero__class_Ozero(_u5359)), _u5361)) )).
% 12.54/12.77 cnf(matrix-3023, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5359) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5359), _u5360), _u5361)), c_Groups_Ozero__class_Ozero(_u5359))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), _u5361), c_Groups_Ozero__class_Ozero(_u5359))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), _u5360), c_Groups_Ozero__class_Ozero(_u5359))) )).
% 12.54/12.77 cnf(matrix-3024, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5359) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5359), _u5360), _u5361)), c_Groups_Ozero__class_Ozero(_u5359))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), _u5361), c_Groups_Ozero__class_Ozero(_u5359))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), c_Groups_Ozero__class_Ozero(_u5359)), _u5361)) )).
% 12.54/12.77 cnf(matrix-3025, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5359) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5359), _u5360), _u5361)), c_Groups_Ozero__class_Ozero(_u5359))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), c_Groups_Ozero__class_Ozero(_u5359)), _u5360)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), _u5361), c_Groups_Ozero__class_Ozero(_u5359))) )).
% 12.54/12.77 cnf(matrix-3026, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5359) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5359), _u5360), _u5361)), c_Groups_Ozero__class_Ozero(_u5359))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), _u5360), c_Groups_Ozero__class_Ozero(_u5359))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5359), c_Groups_Ozero__class_Ozero(_u5359)), _u5361)) )).
% 12.54/12.77 cnf(matrix-3027, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5362) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), c_Groups_Ozero__class_Ozero(_u5362)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5362), _u5363), _u5364))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), c_Groups_Ozero__class_Ozero(_u5362)), _u5363)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), _u5363), c_Groups_Ozero__class_Ozero(_u5362))) )).
% 12.54/12.77 cnf(matrix-3028, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5362) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), c_Groups_Ozero__class_Ozero(_u5362)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5362), _u5363), _u5364))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), c_Groups_Ozero__class_Ozero(_u5362)), _u5363)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), _u5364), c_Groups_Ozero__class_Ozero(_u5362))) )).
% 12.54/12.77 cnf(matrix-3029, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5362) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), c_Groups_Ozero__class_Ozero(_u5362)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5362), _u5363), _u5364))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), c_Groups_Ozero__class_Ozero(_u5362)), _u5364)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), _u5363), c_Groups_Ozero__class_Ozero(_u5362))) )).
% 12.54/12.77 cnf(matrix-3030, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5362) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), c_Groups_Ozero__class_Ozero(_u5362)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5362), _u5363), _u5364))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), c_Groups_Ozero__class_Ozero(_u5362)), _u5364)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), _u5364), c_Groups_Ozero__class_Ozero(_u5362))) )).
% 12.54/12.77 cnf(matrix-3031, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5362) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), c_Groups_Ozero__class_Ozero(_u5362)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5362), _u5363), _u5364))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), c_Groups_Ozero__class_Ozero(_u5362)), _u5363)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), c_Groups_Ozero__class_Ozero(_u5362)), _u5364)) )).
% 12.54/12.77 cnf(matrix-3032, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5362) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), c_Groups_Ozero__class_Ozero(_u5362)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5362), _u5363), _u5364))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), _u5363), c_Groups_Ozero__class_Ozero(_u5362))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5362), _u5364), c_Groups_Ozero__class_Ozero(_u5362))) )).
% 12.54/12.77 cnf(matrix-3033, plain, ( ~class_Fields_Olinordered__field(_u5365) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5365), _u5366), _u5367)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5365), _u5368), c_Groups_Ozero__class_Ozero(_u5365))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5365), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5365), _u5367), _u5368)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5365), _u5366), _u5368))) )).
% 12.54/12.77 cnf(matrix-3034, plain, ( ~class_Fields_Olinordered__field(_u5369) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5369), _u5370), _u5371)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5369), c_Groups_Ozero__class_Ozero(_u5369)), _u5372)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5369), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5369), _u5370), _u5372)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5369), _u5371), _u5372))) )).
% 12.54/12.77 cnf(matrix-3035, plain, ( ~class_Fields_Olinordered__field(_u5373) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5373), _u5374), c_Groups_Ozero__class_Ozero(_u5373))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5373), _u5375), c_Groups_Ozero__class_Ozero(_u5373))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5373), c_Groups_Ozero__class_Ozero(_u5373)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5373), _u5374), _u5375))) )).
% 12.54/12.77 cnf(matrix-3036, plain, ( ~class_Fields_Olinordered__field(_u5376) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5376), _u5377), c_Groups_Ozero__class_Ozero(_u5376))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5376), c_Groups_Ozero__class_Ozero(_u5376)), _u5378)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5376), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5376), _u5377), _u5378)), c_Groups_Ozero__class_Ozero(_u5376))) )).
% 12.54/12.77 cnf(matrix-3037, plain, ( ~class_Fields_Olinordered__field(_u5379) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5379), c_Groups_Ozero__class_Ozero(_u5379)), _u5380)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5379), _u5381), c_Groups_Ozero__class_Ozero(_u5379))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5379), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5379), _u5380), _u5381)), c_Groups_Ozero__class_Ozero(_u5379))) )).
% 12.54/12.77 cnf(matrix-3038, plain, ( ~class_Fields_Olinordered__field(_u5382) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5382), c_Groups_Ozero__class_Ozero(_u5382)), _u5383)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5382), c_Groups_Ozero__class_Ozero(_u5382)), _u5384)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5382), c_Groups_Ozero__class_Ozero(_u5382)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5382), _u5383), _u5384))) )).
% 12.54/12.77 cnf(matrix-3039, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5385) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5385), _u5386), _u5387)), c_Groups_Ozero__class_Ozero(_u5385))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), c_Groups_Ozero__class_Ozero(_u5385)), _u5386)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), _u5386), c_Groups_Ozero__class_Ozero(_u5385))) )).
% 12.54/12.77 cnf(matrix-3040, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5385) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5385), _u5386), _u5387)), c_Groups_Ozero__class_Ozero(_u5385))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), c_Groups_Ozero__class_Ozero(_u5385)), _u5386)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), c_Groups_Ozero__class_Ozero(_u5385)), _u5387)) )).
% 12.54/12.77 cnf(matrix-3041, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5385) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5385), _u5386), _u5387)), c_Groups_Ozero__class_Ozero(_u5385))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), _u5387), c_Groups_Ozero__class_Ozero(_u5385))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), _u5386), c_Groups_Ozero__class_Ozero(_u5385))) )).
% 12.54/12.77 cnf(matrix-3042, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5385) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5385), _u5386), _u5387)), c_Groups_Ozero__class_Ozero(_u5385))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), _u5387), c_Groups_Ozero__class_Ozero(_u5385))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), c_Groups_Ozero__class_Ozero(_u5385)), _u5387)) )).
% 12.54/12.77 cnf(matrix-3043, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5385) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5385), _u5386), _u5387)), c_Groups_Ozero__class_Ozero(_u5385))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), c_Groups_Ozero__class_Ozero(_u5385)), _u5386)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), _u5387), c_Groups_Ozero__class_Ozero(_u5385))) )).
% 12.54/12.77 cnf(matrix-3044, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5385) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5385), _u5386), _u5387)), c_Groups_Ozero__class_Ozero(_u5385))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), _u5386), c_Groups_Ozero__class_Ozero(_u5385))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5385), c_Groups_Ozero__class_Ozero(_u5385)), _u5387)) )).
% 12.54/12.77 cnf(matrix-3045, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5388) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), c_Groups_Ozero__class_Ozero(_u5388)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5388), _u5389), _u5390))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), c_Groups_Ozero__class_Ozero(_u5388)), _u5389)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), _u5389), c_Groups_Ozero__class_Ozero(_u5388))) )).
% 12.54/12.77 cnf(matrix-3046, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5388) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), c_Groups_Ozero__class_Ozero(_u5388)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5388), _u5389), _u5390))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), c_Groups_Ozero__class_Ozero(_u5388)), _u5389)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), _u5390), c_Groups_Ozero__class_Ozero(_u5388))) )).
% 12.54/12.77 cnf(matrix-3047, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5388) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), c_Groups_Ozero__class_Ozero(_u5388)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5388), _u5389), _u5390))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), c_Groups_Ozero__class_Ozero(_u5388)), _u5390)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), _u5389), c_Groups_Ozero__class_Ozero(_u5388))) )).
% 12.54/12.77 cnf(matrix-3048, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5388) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), c_Groups_Ozero__class_Ozero(_u5388)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5388), _u5389), _u5390))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), c_Groups_Ozero__class_Ozero(_u5388)), _u5390)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), _u5390), c_Groups_Ozero__class_Ozero(_u5388))) )).
% 12.54/12.77 cnf(matrix-3049, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5388) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), c_Groups_Ozero__class_Ozero(_u5388)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5388), _u5389), _u5390))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), c_Groups_Ozero__class_Ozero(_u5388)), _u5389)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), c_Groups_Ozero__class_Ozero(_u5388)), _u5390)) )).
% 12.54/12.77 cnf(matrix-3050, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5388) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), c_Groups_Ozero__class_Ozero(_u5388)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5388), _u5389), _u5390))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), _u5389), c_Groups_Ozero__class_Ozero(_u5388))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5388), _u5390), c_Groups_Ozero__class_Ozero(_u5388))) )).
% 12.54/12.77 cnf(matrix-3051, plain, ( ~class_Fields_Ofield__inverse__zero(_u5391) | ( _u5392 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5391), _u5393), _u5394)) | ( _u5394 = c_Groups_Ozero__class_Ozero(_u5391)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5391), _u5392), _u5394) = _u5393) )).
% 12.54/12.77 cnf(matrix-3052, plain, ( ~class_Fields_Ofield__inverse__zero(_u5391) | ( _u5392 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5391), _u5393), _u5394)) | ( _u5394 != c_Groups_Ozero__class_Ozero(_u5391)) | ( _u5392 = c_Groups_Ozero__class_Ozero(_u5391)) )).
% 12.54/12.77 cnf(matrix-3053, plain, ( ~class_Fields_Ofield__inverse__zero(_u5391) | ( _u5392 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5391), _u5393), _u5394)) | ( _u5394 != c_Groups_Ozero__class_Ozero(_u5391)) | ( _u5392 != c_Groups_Ozero__class_Ozero(_u5391)) )).
% 12.54/12.77 cnf(matrix-3054, plain, ( ~class_Fields_Ofield__inverse__zero(_u5391) | ( _u5392 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5391), _u5393), _u5394)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5391), _u5392), _u5394) != _u5393) | ( _u5394 = c_Groups_Ozero__class_Ozero(_u5391)) )).
% 12.54/12.77 cnf(matrix-3055, plain, ( ~class_Fields_Ofield__inverse__zero(_u5391) | ( _u5392 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5391), _u5393), _u5394)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5391), _u5392), _u5394) != _u5393) | ( _u5392 != c_Groups_Ozero__class_Ozero(_u5391)) )).
% 12.54/12.77 cnf(matrix-3056, plain, ( ~class_Fields_Ofield__inverse__zero(_u5395) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5395), _u5396), _u5397) != _u5398) | ( _u5397 = c_Groups_Ozero__class_Ozero(_u5395)) | ( _u5396 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5395), _u5398), _u5397)) )).
% 12.54/12.77 cnf(matrix-3057, plain, ( ~class_Fields_Ofield__inverse__zero(_u5395) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5395), _u5396), _u5397) != _u5398) | ( _u5397 != c_Groups_Ozero__class_Ozero(_u5395)) | ( _u5398 = c_Groups_Ozero__class_Ozero(_u5395)) )).
% 12.54/12.77 cnf(matrix-3058, plain, ( ~class_Fields_Ofield__inverse__zero(_u5395) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5395), _u5396), _u5397) = _u5398) | ( _u5397 != c_Groups_Ozero__class_Ozero(_u5395)) | ( _u5398 != c_Groups_Ozero__class_Ozero(_u5395)) )).
% 12.54/12.77 cnf(matrix-3059, plain, ( ~class_Fields_Ofield__inverse__zero(_u5395) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5395), _u5396), _u5397) = _u5398) | ( _u5396 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5395), _u5398), _u5397)) | ( _u5397 = c_Groups_Ozero__class_Ozero(_u5395)) )).
% 12.54/12.77 cnf(matrix-3060, plain, ( ~class_Fields_Ofield__inverse__zero(_u5395) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5395), _u5396), _u5397) = _u5398) | ( _u5396 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5395), _u5398), _u5397)) | ( _u5398 != c_Groups_Ozero__class_Ozero(_u5395)) )).
% 12.54/12.77 cnf(matrix-3061, plain, ( ~class_Fields_Ofield__inverse__zero(_u5399) | ( _u5400 = c_Groups_Ozero__class_Ozero(_u5399)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5399), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5399), _u5401), _u5400)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5399), _u5402), _u5400)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5399), _u5401), _u5402)) )).
% 12.54/12.77 cnf(matrix-3062, plain, ( ~class_Fields_Ofield__inverse__zero(_u5403) | ( _u5404 = c_Groups_Ozero__class_Ozero(_u5403)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5403), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5403), _u5404), _u5405)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5403), _u5404), _u5406)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5403), _u5405), _u5406)) )).
% 12.54/12.77 cnf(matrix-3063, plain, ( ~class_Fields_Ofield(_u5407) | ( _u5408 = c_Groups_Ozero__class_Ozero(_u5407)) | ( _u5409 = c_Groups_Ozero__class_Ozero(_u5407)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5407), _u5410), _u5408) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5407), _u5411), _u5409)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5407), _u5410), _u5409) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5407), _u5411), _u5408)) )).
% 12.54/12.77 cnf(matrix-3064, plain, ( ~class_Fields_Ofield(_u5407) | ( _u5408 = c_Groups_Ozero__class_Ozero(_u5407)) | ( _u5409 = c_Groups_Ozero__class_Ozero(_u5407)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5407), _u5410), _u5409) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5407), _u5411), _u5408)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5407), _u5410), _u5408) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5407), _u5411), _u5409)) )).
% 12.54/12.77 cnf(matrix-3065, plain, ( ~class_Fields_Olinordered__field(_u5412) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5412), c_Groups_Ozero__class_Ozero(_u5412)), _u5413)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5412), c_Groups_Ozero__class_Ozero(_u5412)), _u5414)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5412), c_Groups_Ozero__class_Ozero(_u5412)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5412), _u5413), _u5414))) )).
% 12.54/12.77 cnf(matrix-3066, plain, ( ~class_Fields_Olinordered__field(_u5415) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5415), c_Groups_Ozero__class_Ozero(_u5415)), _u5416)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5415), _u5417), c_Groups_Ozero__class_Ozero(_u5415))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5415), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5415), _u5416), _u5417)), c_Groups_Ozero__class_Ozero(_u5415))) )).
% 12.54/12.77 cnf(matrix-3067, plain, ( ~class_Fields_Olinordered__field(_u5418) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5418), c_Groups_Ozero__class_Ozero(_u5418)), _u5419)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5418), _u5419), _u5420)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5418), c_Groups_Ozero__class_Ozero(_u5418)), _u5421)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5418), _u5421), _u5422)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5418), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5418), _u5419), _u5422)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5418), _u5420), _u5421))) )).
% 12.54/12.77 cnf(matrix-3068, plain, ( ~class_Fields_Olinordered__field(_u5423) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5423), c_Groups_Ozero__class_Ozero(_u5423)), _u5424)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5423), _u5424), _u5425)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5423), c_Groups_Ozero__class_Ozero(_u5423)), _u5426)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5423), _u5426), _u5427)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5423), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5423), _u5424), _u5427)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5423), _u5425), _u5426))) )).
% 12.54/12.77 cnf(matrix-3069, plain, ( ~class_Fields_Olinordered__field(_u5428) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5428), c_Groups_Ozero__class_Ozero(_u5428)), _u5429)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5428), _u5429), _u5430)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5428), c_Groups_Ozero__class_Ozero(_u5428)), _u5431)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5428), _u5431), _u5432)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5428), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5428), _u5429), _u5432)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5428), _u5430), _u5431))) )).
% 12.54/12.77 cnf(matrix-3070, plain, ( ~class_Fields_Olinordered__field(_u5433) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5433), _u5434), c_Groups_Ozero__class_Ozero(_u5433))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5433), c_Groups_Ozero__class_Ozero(_u5433)), _u5435)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5433), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5433), _u5434), _u5435)), c_Groups_Ozero__class_Ozero(_u5433))) )).
% 12.54/12.77 cnf(matrix-3071, plain, ( ~class_Fields_Olinordered__field(_u5436) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5436), _u5437), c_Groups_Ozero__class_Ozero(_u5436))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5436), _u5438), c_Groups_Ozero__class_Ozero(_u5436))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5436), c_Groups_Ozero__class_Ozero(_u5436)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5436), _u5437), _u5438))) )).
% 12.54/12.77 cnf(matrix-3072, plain, ( ~class_Fields_Olinordered__field(_u5439) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5439), _u5440), _u5441)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5439), _u5442), c_Groups_Ozero__class_Ozero(_u5439))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5439), c_Groups_Ozero__class_Ozero(_u5439)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5439), _u5440), _u5441))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5439), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5439), _u5442), _u5440)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5439), _u5442), _u5441))) )).
% 12.54/12.77 cnf(matrix-3073, plain, ( ~class_Fields_Olinordered__field(_u5443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5443), _u5444), _u5445)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5443), c_Groups_Ozero__class_Ozero(_u5443)), _u5446)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5443), c_Groups_Ozero__class_Ozero(_u5443)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5443), _u5445), _u5444))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5443), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5443), _u5446), _u5445)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5443), _u5446), _u5444))) )).
% 12.54/12.77 cnf(matrix-3074, plain, ( ~class_Fields_Olinordered__field(_u5447) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5447), _u5448), c_Groups_Ozero__class_Ozero(_u5447))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5447), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5447), _u5449), _u5448)), _u5450)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5447), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5447), _u5450), _u5448)), _u5449)) )).
% 12.54/12.77 cnf(matrix-3075, plain, ( ~class_Fields_Olinordered__field(_u5447) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5447), _u5448), c_Groups_Ozero__class_Ozero(_u5447))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5447), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5447), _u5450), _u5448)), _u5449)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5447), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5447), _u5449), _u5448)), _u5450)) )).
% 12.54/12.77 cnf(matrix-3076, plain, ( ~class_Fields_Olinordered__field(_u5451) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5451), _u5452), c_Groups_Ozero__class_Ozero(_u5451))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5451), _u5453), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5451), _u5454), _u5452))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5451), _u5454), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5451), _u5453), _u5452))) )).
% 12.54/12.77 cnf(matrix-3077, plain, ( ~class_Fields_Olinordered__field(_u5451) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5451), _u5452), c_Groups_Ozero__class_Ozero(_u5451))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5451), _u5454), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5451), _u5453), _u5452))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5451), _u5453), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5451), _u5454), _u5452))) )).
% 12.54/12.77 cnf(matrix-3078, plain, ( ~class_Fields_Olinordered__field(_u5455) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5455), c_Groups_Ozero__class_Ozero(_u5455)), _u5456)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5455), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5455), _u5457), _u5456)), _u5458)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5455), _u5457), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5455), _u5458), _u5456))) )).
% 12.54/12.77 cnf(matrix-3079, plain, ( ~class_Fields_Olinordered__field(_u5459) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5459), c_Groups_Ozero__class_Ozero(_u5459)), _u5460)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5459), _u5461), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5459), _u5462), _u5460))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5459), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5459), _u5461), _u5460)), _u5462)) )).
% 12.54/12.77 cnf(matrix-3080, plain, ( ~class_Fields_Olinordered__field(_u5463) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5463), c_Groups_Ozero__class_Ozero(_u5463)), _u5464)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5463), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5463), _u5465), _u5464)), _u5466)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5463), _u5465), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5463), _u5466), _u5464))) )).
% 12.54/12.77 cnf(matrix-3081, plain, ( ~class_Fields_Olinordered__field(_u5463) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5463), c_Groups_Ozero__class_Ozero(_u5463)), _u5464)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5463), _u5465), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5463), _u5466), _u5464))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5463), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5463), _u5465), _u5464)), _u5466)) )).
% 12.54/12.77 cnf(matrix-3082, plain, ( ~class_Fields_Olinordered__field(_u5467) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5467), c_Groups_Ozero__class_Ozero(_u5467)), _u5468)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5467), _u5469), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5467), _u5470), _u5468))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5467), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5467), _u5469), _u5468)), _u5470)) )).
% 12.54/12.77 cnf(matrix-3083, plain, ( ~class_Fields_Olinordered__field(_u5467) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5467), c_Groups_Ozero__class_Ozero(_u5467)), _u5468)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5467), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5467), _u5469), _u5468)), _u5470)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5467), _u5469), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5467), _u5470), _u5468))) )).
% 12.54/12.77 cnf(matrix-3084, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5471) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5471), _u5472), _u5473)), _u5474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), c_Groups_Ozero__class_Ozero(_u5471)), _u5473)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), _u5472), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5471), _u5474), _u5473))) )).
% 12.54/12.77 cnf(matrix-3085, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5471) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5471), _u5472), _u5473)), _u5474)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), c_Groups_Ozero__class_Ozero(_u5471)), _u5473)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), _u5473), c_Groups_Ozero__class_Ozero(_u5471))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5471), _u5474), _u5473)), _u5472)) )).
% 12.54/12.77 cnf(matrix-3086, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5471) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5471), _u5472), _u5473)), _u5474)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), c_Groups_Ozero__class_Ozero(_u5471)), _u5473)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), _u5473), c_Groups_Ozero__class_Ozero(_u5471))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), c_Groups_Ozero__class_Ozero(_u5471)), _u5474)) )).
% 12.54/12.77 cnf(matrix-3087, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5471) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5471), _u5472), _u5473)), _u5474)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), c_Groups_Ozero__class_Ozero(_u5471)), _u5473)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), _u5473), c_Groups_Ozero__class_Ozero(_u5471))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), c_Groups_Ozero__class_Ozero(_u5471)), _u5474)) )).
% 12.54/12.77 cnf(matrix-3088, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5471) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5471), _u5472), _u5473)), _u5474)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), c_Groups_Ozero__class_Ozero(_u5471)), _u5473)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5471), _u5474), _u5473)), _u5472)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), _u5473), c_Groups_Ozero__class_Ozero(_u5471))) )).
% 12.54/12.77 cnf(matrix-3089, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5471) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5471), _u5472), _u5473)), _u5474)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), c_Groups_Ozero__class_Ozero(_u5471)), _u5473)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5471), _u5474), _u5473)), _u5472)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), c_Groups_Ozero__class_Ozero(_u5471)), _u5474)) )).
% 12.54/12.77 cnf(matrix-3090, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5471) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5471), _u5472), _u5473)), _u5474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), _u5472), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5471), _u5474), _u5473))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), c_Groups_Ozero__class_Ozero(_u5471)), _u5473)) )).
% 12.54/12.77 cnf(matrix-3091, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5471) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5471), _u5472), _u5473)), _u5474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), _u5472), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5471), _u5474), _u5473))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), _u5473), c_Groups_Ozero__class_Ozero(_u5471))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), c_Groups_Ozero__class_Ozero(_u5471)), _u5474)) )).
% 12.54/12.77 cnf(matrix-3092, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5471) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5471), _u5472), _u5473)), _u5474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), _u5472), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5471), _u5474), _u5473))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5471), _u5474), _u5473)), _u5472)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), _u5473), c_Groups_Ozero__class_Ozero(_u5471))) )).
% 12.54/12.77 cnf(matrix-3093, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5471) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5471), _u5472), _u5473)), _u5474)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), _u5472), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5471), _u5474), _u5473))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5471), _u5474), _u5473)), _u5472)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5471), c_Groups_Ozero__class_Ozero(_u5471)), _u5474)) )).
% 12.54/12.77 cnf(matrix-3094, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5475) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5476), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5475), _u5477), _u5478))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), c_Groups_Ozero__class_Ozero(_u5475)), _u5478)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5475), _u5476), _u5478)), _u5477)) )).
% 12.54/12.77 cnf(matrix-3095, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5475) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5476), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5475), _u5477), _u5478))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), c_Groups_Ozero__class_Ozero(_u5475)), _u5478)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5478), c_Groups_Ozero__class_Ozero(_u5475))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5477), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5475), _u5476), _u5478))) )).
% 12.54/12.77 cnf(matrix-3096, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5475) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5476), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5475), _u5477), _u5478))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), c_Groups_Ozero__class_Ozero(_u5475)), _u5478)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5478), c_Groups_Ozero__class_Ozero(_u5475))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5476), c_Groups_Ozero__class_Ozero(_u5475))) )).
% 12.54/12.77 cnf(matrix-3097, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5475) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5476), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5475), _u5477), _u5478))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), c_Groups_Ozero__class_Ozero(_u5475)), _u5478)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5478), c_Groups_Ozero__class_Ozero(_u5475))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5476), c_Groups_Ozero__class_Ozero(_u5475))) )).
% 12.54/12.77 cnf(matrix-3098, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5475) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5476), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5475), _u5477), _u5478))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), c_Groups_Ozero__class_Ozero(_u5475)), _u5478)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5477), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5475), _u5476), _u5478))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5478), c_Groups_Ozero__class_Ozero(_u5475))) )).
% 12.54/12.77 cnf(matrix-3099, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5475) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5476), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5475), _u5477), _u5478))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), c_Groups_Ozero__class_Ozero(_u5475)), _u5478)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5477), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5475), _u5476), _u5478))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5476), c_Groups_Ozero__class_Ozero(_u5475))) )).
% 12.54/12.77 cnf(matrix-3100, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5475) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5476), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5475), _u5477), _u5478))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5475), _u5476), _u5478)), _u5477)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), c_Groups_Ozero__class_Ozero(_u5475)), _u5478)) )).
% 12.54/12.77 cnf(matrix-3101, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5475) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5476), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5475), _u5477), _u5478))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5475), _u5476), _u5478)), _u5477)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5478), c_Groups_Ozero__class_Ozero(_u5475))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5476), c_Groups_Ozero__class_Ozero(_u5475))) )).
% 12.54/12.77 cnf(matrix-3102, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5475) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5476), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5475), _u5477), _u5478))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5475), _u5476), _u5478)), _u5477)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5477), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5475), _u5476), _u5478))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5478), c_Groups_Ozero__class_Ozero(_u5475))) )).
% 12.54/12.77 cnf(matrix-3103, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5475) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5476), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5475), _u5477), _u5478))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5475), _u5476), _u5478)), _u5477)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5477), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5475), _u5476), _u5478))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5475), _u5476), c_Groups_Ozero__class_Ozero(_u5475))) )).
% 12.54/12.77 cnf(matrix-3104, plain, ( ~class_Fields_Ofield__inverse__zero(_u5479) | ( _u5480 = c_Groups_Ozero__class_Ozero(_u5479)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5479), _u5481), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5479), _u5482), _u5480)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5479), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5479), _u5482), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5479), _u5481), _u5480))), _u5480)) )).
% 12.54/12.77 cnf(matrix-3105, plain, ( ~class_Fields_Ofield(_u5483) | ( _u5484 = c_Groups_Ozero__class_Ozero(_u5483)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5483), _u5485), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5483), _u5486), _u5484)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5483), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5483), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5483), _u5484), _u5485)), _u5486)), _u5484)) )).
% 12.54/12.77 cnf(matrix-3106, plain, ( ~class_Fields_Ofield__inverse__zero(_u5487) | ( _u5488 = c_Groups_Ozero__class_Ozero(_u5487)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5487), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5487), _u5489), _u5488)), _u5490) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5487), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5487), _u5489), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5487), _u5490), _u5488))), _u5488)) )).
% 12.54/12.77 cnf(matrix-3107, plain, ( ~class_Fields_Ofield(_u5491) | ( _u5492 = c_Groups_Ozero__class_Ozero(_u5491)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5491), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5491), _u5493), _u5492)), _u5494) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5491), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5491), _u5493), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5491), _u5492), _u5494))), _u5492)) )).
% 12.54/12.77 cnf(matrix-3108, plain, ( ~class_Fields_Ofield(_u5495) | ( _u5496 = c_Groups_Ozero__class_Ozero(_u5495)) | ( _u5497 = c_Groups_Ozero__class_Ozero(_u5495)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5495), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5495), _u5498), _u5496)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5495), _u5499), _u5497)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5495), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5495), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5495), _u5498), _u5497)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5495), _u5499), _u5496))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5495), _u5496), _u5497))) )).
% 12.54/12.77 cnf(matrix-3109, plain, ( ~class_Fields_Ofield(_u5500) | ( _u5501 = c_Groups_Ozero__class_Ozero(_u5500)) | ( _u5502 = c_Groups_Ozero__class_Ozero(_u5500)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5500), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5500), _u5503), _u5501)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5500), _u5504), _u5502)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5500), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5500), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5500), _u5503), _u5502)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5500), _u5504), _u5501))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5500), _u5501), _u5502))) )).
% 12.54/12.77 cnf(matrix-3110, plain, ( ~class_Fields_Ofield(_u5505) | ( _u5506 = c_Groups_Ozero__class_Ozero(_u5505)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5505), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5505), _u5507), _u5506)), _u5508) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5505), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5505), _u5507), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5505), _u5506), _u5508))), _u5506)) )).
% 12.54/12.77 cnf(matrix-3111, plain, ( ~class_Fields_Ofield(_u5509) | ( _u5510 = c_Groups_Ozero__class_Ozero(_u5509)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5509), _u5511), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5509), _u5512), _u5510)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5509), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5509), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5509), _u5510), _u5511)), _u5512)), _u5510)) )).
% 12.54/12.77 cnf(matrix-3112, plain, ( ~class_Fields_Olinordered__field(_u5513) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5513), _u5514), _u5515)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5513), _u5514), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5513), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5513), _u5514), _u5515)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5513), c_Groups_Oone__class_Oone(_u5513)), c_Groups_Oone__class_Oone(_u5513))))) )).
% 12.54/12.77 cnf(matrix-3113, plain, ( ~class_Fields_Olinordered__field(_u5516) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5516), _u5517), _u5518)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5516), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5516), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5516), _u5517), _u5518)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5516), c_Groups_Oone__class_Oone(_u5516)), c_Groups_Oone__class_Oone(_u5516)))), _u5518)) )).
% 12.54/12.77 cnf(matrix-3114, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5519) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5520), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5519), _u5521), _u5522))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5519), c_Groups_Ozero__class_Ozero(_u5519)), _u5522)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5520), _u5522)), _u5521)) )).
% 12.54/12.77 cnf(matrix-3115, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5519) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5520), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5519), _u5521), _u5522))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5519), c_Groups_Ozero__class_Ozero(_u5519)), _u5522)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5519), _u5522), c_Groups_Ozero__class_Ozero(_u5519))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5521), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5520), _u5522))) )).
% 12.54/12.77 cnf(matrix-3116, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5519) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5520), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5519), _u5521), _u5522))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5519), c_Groups_Ozero__class_Ozero(_u5519)), _u5522)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5519), _u5522), c_Groups_Ozero__class_Ozero(_u5519))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5520), c_Groups_Ozero__class_Ozero(_u5519))) )).
% 12.54/12.77 cnf(matrix-3117, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5519) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5520), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5519), _u5521), _u5522))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5519), c_Groups_Ozero__class_Ozero(_u5519)), _u5522)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5519), _u5522), c_Groups_Ozero__class_Ozero(_u5519))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5520), c_Groups_Ozero__class_Ozero(_u5519))) )).
% 12.54/12.77 cnf(matrix-3118, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5519) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5520), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5519), _u5521), _u5522))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5519), c_Groups_Ozero__class_Ozero(_u5519)), _u5522)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5521), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5520), _u5522))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5519), _u5522), c_Groups_Ozero__class_Ozero(_u5519))) )).
% 12.54/12.77 cnf(matrix-3119, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5519) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5520), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5519), _u5521), _u5522))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5519), c_Groups_Ozero__class_Ozero(_u5519)), _u5522)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5521), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5520), _u5522))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5520), c_Groups_Ozero__class_Ozero(_u5519))) )).
% 12.54/12.77 cnf(matrix-3120, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5519) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5520), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5519), _u5521), _u5522))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5520), _u5522)), _u5521)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5519), c_Groups_Ozero__class_Ozero(_u5519)), _u5522)) )).
% 12.54/12.77 cnf(matrix-3121, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5519) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5520), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5519), _u5521), _u5522))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5520), _u5522)), _u5521)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5519), _u5522), c_Groups_Ozero__class_Ozero(_u5519))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5520), c_Groups_Ozero__class_Ozero(_u5519))) )).
% 12.54/12.77 cnf(matrix-3122, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5519) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5520), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5519), _u5521), _u5522))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5520), _u5522)), _u5521)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5521), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5520), _u5522))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5519), _u5522), c_Groups_Ozero__class_Ozero(_u5519))) )).
% 12.54/12.77 cnf(matrix-3123, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5519) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5520), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5519), _u5521), _u5522))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5520), _u5522)), _u5521)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5521), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5519), _u5520), _u5522))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5520), c_Groups_Ozero__class_Ozero(_u5519))) )).
% 12.54/12.77 cnf(matrix-3124, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5523) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5523), _u5524), _u5525)), _u5526)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5523), c_Groups_Ozero__class_Ozero(_u5523)), _u5525)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), _u5524), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5523), _u5526), _u5525))) )).
% 12.54/12.77 cnf(matrix-3125, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5523) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5523), _u5524), _u5525)), _u5526)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5523), c_Groups_Ozero__class_Ozero(_u5523)), _u5525)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5523), _u5525), c_Groups_Ozero__class_Ozero(_u5523))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5523), _u5526), _u5525)), _u5524)) )).
% 12.54/12.77 cnf(matrix-3126, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5523) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5523), _u5524), _u5525)), _u5526)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5523), c_Groups_Ozero__class_Ozero(_u5523)), _u5525)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5523), _u5525), c_Groups_Ozero__class_Ozero(_u5523))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), c_Groups_Ozero__class_Ozero(_u5523)), _u5526)) )).
% 12.54/12.77 cnf(matrix-3127, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5523) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5523), _u5524), _u5525)), _u5526)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5523), c_Groups_Ozero__class_Ozero(_u5523)), _u5525)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5523), _u5525), c_Groups_Ozero__class_Ozero(_u5523))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), c_Groups_Ozero__class_Ozero(_u5523)), _u5526)) )).
% 12.54/12.77 cnf(matrix-3128, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5523) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5523), _u5524), _u5525)), _u5526)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5523), c_Groups_Ozero__class_Ozero(_u5523)), _u5525)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5523), _u5526), _u5525)), _u5524)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5523), _u5525), c_Groups_Ozero__class_Ozero(_u5523))) )).
% 12.54/12.77 cnf(matrix-3129, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5523) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5523), _u5524), _u5525)), _u5526)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5523), c_Groups_Ozero__class_Ozero(_u5523)), _u5525)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5523), _u5526), _u5525)), _u5524)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), c_Groups_Ozero__class_Ozero(_u5523)), _u5526)) )).
% 12.54/12.77 cnf(matrix-3130, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5523) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5523), _u5524), _u5525)), _u5526)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), _u5524), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5523), _u5526), _u5525))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5523), c_Groups_Ozero__class_Ozero(_u5523)), _u5525)) )).
% 12.54/12.77 cnf(matrix-3131, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5523) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5523), _u5524), _u5525)), _u5526)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), _u5524), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5523), _u5526), _u5525))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5523), _u5525), c_Groups_Ozero__class_Ozero(_u5523))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), c_Groups_Ozero__class_Ozero(_u5523)), _u5526)) )).
% 12.54/12.77 cnf(matrix-3132, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5523) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5523), _u5524), _u5525)), _u5526)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), _u5524), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5523), _u5526), _u5525))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5523), _u5526), _u5525)), _u5524)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5523), _u5525), c_Groups_Ozero__class_Ozero(_u5523))) )).
% 12.54/12.77 cnf(matrix-3133, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5523) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5523), _u5524), _u5525)), _u5526)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), _u5524), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5523), _u5526), _u5525))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5523), _u5526), _u5525)), _u5524)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5523), c_Groups_Ozero__class_Ozero(_u5523)), _u5526)) )).
% 12.54/12.77 cnf(matrix-3134, plain, ( ~class_Fields_Olinordered__field(_u5527) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5527), c_Groups_Ozero__class_Ozero(_u5527)), _u5528)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5527), _u5529), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5527), _u5530), _u5528))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5527), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5527), _u5529), _u5528)), _u5530)) )).
% 12.54/12.77 cnf(matrix-3135, plain, ( ~class_Fields_Olinordered__field(_u5527) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5527), c_Groups_Ozero__class_Ozero(_u5527)), _u5528)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5527), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5527), _u5529), _u5528)), _u5530)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5527), _u5529), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5527), _u5530), _u5528))) )).
% 12.54/12.77 cnf(matrix-3136, plain, ( ~class_Fields_Olinordered__field(_u5531) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5531), c_Groups_Ozero__class_Ozero(_u5531)), _u5532)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5531), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5531), _u5533), _u5532)), _u5534)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5531), _u5533), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5531), _u5534), _u5532))) )).
% 12.54/12.77 cnf(matrix-3137, plain, ( ~class_Fields_Olinordered__field(_u5531) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5531), c_Groups_Ozero__class_Ozero(_u5531)), _u5532)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5531), _u5533), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5531), _u5534), _u5532))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5531), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5531), _u5533), _u5532)), _u5534)) )).
% 12.54/12.77 cnf(matrix-3138, plain, ( ( c_Sum__Type_OPlus(_u5535, _u5536, c_Orderings_Otop__class_Otop(tc_fun(_u5535, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u5536, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u5535, _u5536), tc_HOL_Obool))) )).
% 12.54/12.77 cnf(matrix-3139, plain, ( ~class_Fields_Ofield(_u5538) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5539), _u5540)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5539), _u5541)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5539, _u5538), _u5542), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5539, tc_HOL_Obool)), _u5540), _u5541)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5538), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5538), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5539, _u5538), _u5542), _u5540)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5539, _u5538), _u5542), _u5541))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5539, _u5538), _u5542), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5539, tc_HOL_Obool)), _u5540), _u5541)))) | hBOOL(hAPP(hAPP(c_member(_u5539), skolem132(_u5542, _u5541, _u5540, _u5539, _u5538)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5539, tc_HOL_Obool)), _u5540), _u5541))) )).
% 12.54/12.77 cnf(matrix-3140, plain, ( ~class_Fields_Ofield(_u5538) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5539), _u5540)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5539), _u5541)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5539, _u5538), _u5542), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5539, tc_HOL_Obool)), _u5540), _u5541)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5538), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5538), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5539, _u5538), _u5542), _u5540)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5539, _u5538), _u5542), _u5541))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u5539, _u5538), _u5542), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5539, tc_HOL_Obool)), _u5540), _u5541)))) | ( hAPP(_u5542, skolem132(_u5542, _u5541, _u5540, _u5539, _u5538)) = c_Groups_Ozero__class_Ozero(_u5538)) )).
% 12.54/12.77 cnf(matrix-3141, plain, ( ( c_Sum__Type_OPlus(_u5547, _u5549, _u5551, _u5553) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u5547, _u5549), tc_HOL_Obool))) | ( _u5551 = c_Orderings_Obot__class_Obot(tc_fun(_u5547, tc_HOL_Obool))) )).
% 12.54/12.77 cnf(matrix-3142, plain, ( ( c_Sum__Type_OPlus(_u5547, _u5549, _u5551, _u5553) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u5547, _u5549), tc_HOL_Obool))) | ( _u5553 = c_Orderings_Obot__class_Obot(tc_fun(_u5549, tc_HOL_Obool))) )).
% 12.54/12.77 cnf(matrix-3143, plain, ( ( _u5552 != c_Orderings_Obot__class_Obot(tc_fun(_u5548, tc_HOL_Obool))) | ( _u5554 != c_Orderings_Obot__class_Obot(tc_fun(_u5550, tc_HOL_Obool))) | ( c_Sum__Type_OPlus(_u5548, _u5550, _u5552, _u5554) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u5548, _u5550), tc_HOL_Obool))) )).
% 12.54/12.77 cnf(matrix-3144, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5556) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5556), _u5557), _u5558)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5556), c_Groups_Ozero__class_Ozero(_u5556)), skolem133(_u5558, _u5557, _u5556))) )).
% 12.54/12.77 cnf(matrix-3145, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5556) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5556), _u5557), _u5558)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5556), skolem133(_u5558, _u5557, _u5556)), c_Groups_Oone__class_Oone(_u5556))) )).
% 12.54/12.77 cnf(matrix-3146, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5556) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5556), _u5557), _u5558)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5556), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5556), skolem133(_u5558, _u5557, _u5556)), _u5557)), _u5558)) )).
% 12.54/12.77 cnf(matrix-3147, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5560), _u5561)) | 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(_u5560, tc_Nat_Onat), _u5562), _u5561))) | hBOOL(hAPP(hAPP(c_member(_u5560), skolem134(_u5562, _u5561, _u5560)), _u5561)) )).
% 12.54/12.77 cnf(matrix-3148, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5560), _u5561)) | 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(_u5560, tc_Nat_Onat), _u5562), _u5561))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u5562, skolem134(_u5562, _u5561, _u5560)))) )).
% 12.54/12.77 cnf(matrix-3149, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5564, tc_Nat_Onat), _u5565), _u5566) != hAPP(c_Nat_OSuc, _u5567)) | hBOOL(hAPP(hAPP(c_member(_u5564), skolem135(_u5567, _u5566, _u5565, _u5564)), _u5566)) )).
% 12.54/12.77 cnf(matrix-3150, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5564, tc_Nat_Onat), _u5565), _u5566) != hAPP(c_Nat_OSuc, _u5567)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u5565, skolem135(_u5567, _u5566, _u5565, _u5564)))) )).
% 12.54/12.77 cnf(matrix-3151, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u5571, tc_HOL_Obool)), _u5572)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5571), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u5571, tc_HOL_Obool), _u5572))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u5571, tc_HOL_Obool)), skolem136(_u5573, _u5572, _u5571)), _u5572)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5573), hAPP(c_Finite__Set_Ocard(tc_fun(_u5571, tc_HOL_Obool)), _u5572)) = hAPP(c_Finite__Set_Ocard(_u5571), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u5571, tc_HOL_Obool), _u5572))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u5571, tc_HOL_Obool)), skolem137(_u5573, _u5572, _u5571)), _u5572)) )).
% 12.54/12.77 cnf(matrix-3152, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u5571, tc_HOL_Obool)), _u5572)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5571), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u5571, tc_HOL_Obool), _u5572))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u5571, tc_HOL_Obool)), skolem136(_u5573, _u5572, _u5571)), _u5572)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5573), hAPP(c_Finite__Set_Ocard(tc_fun(_u5571, tc_HOL_Obool)), _u5572)) = hAPP(c_Finite__Set_Ocard(_u5571), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u5571, tc_HOL_Obool), _u5572))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u5571, tc_HOL_Obool)), skolem138(_u5573, _u5572, _u5571)), _u5572)) )).
% 12.54/12.77 cnf(matrix-3153, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u5571, tc_HOL_Obool)), _u5572)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5571), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u5571, tc_HOL_Obool), _u5572))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u5571, tc_HOL_Obool)), skolem136(_u5573, _u5572, _u5571)), _u5572)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5573), hAPP(c_Finite__Set_Ocard(tc_fun(_u5571, tc_HOL_Obool)), _u5572)) = hAPP(c_Finite__Set_Ocard(_u5571), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u5571, tc_HOL_Obool), _u5572))) | ( skolem137(_u5573, _u5572, _u5571) != skolem138(_u5573, _u5572, _u5571)) )).
% 12.54/12.77 cnf(matrix-3154, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u5571, tc_HOL_Obool)), _u5572)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5571), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u5571, tc_HOL_Obool), _u5572))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u5571, tc_HOL_Obool)), skolem136(_u5573, _u5572, _u5571)), _u5572)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5573), hAPP(c_Finite__Set_Ocard(tc_fun(_u5571, tc_HOL_Obool)), _u5572)) = hAPP(c_Finite__Set_Ocard(_u5571), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u5571, tc_HOL_Obool), _u5572))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5571, tc_HOL_Obool)), skolem137(_u5573, _u5572, _u5571)), skolem138(_u5573, _u5572, _u5571)) != c_Orderings_Obot__class_Obot(tc_fun(_u5571, tc_HOL_Obool))) )).
% 12.54/12.77 cnf(matrix-3155, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u5571, tc_HOL_Obool)), _u5572)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5571), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u5571, tc_HOL_Obool), _u5572))) | ( hAPP(c_Finite__Set_Ocard(_u5571), skolem136(_u5573, _u5572, _u5571)) != _u5573) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5573), hAPP(c_Finite__Set_Ocard(tc_fun(_u5571, tc_HOL_Obool)), _u5572)) = hAPP(c_Finite__Set_Ocard(_u5571), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u5571, tc_HOL_Obool), _u5572))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u5571, tc_HOL_Obool)), skolem137(_u5573, _u5572, _u5571)), _u5572)) )).
% 12.54/12.77 cnf(matrix-3156, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u5571, tc_HOL_Obool)), _u5572)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5571), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u5571, tc_HOL_Obool), _u5572))) | ( hAPP(c_Finite__Set_Ocard(_u5571), skolem136(_u5573, _u5572, _u5571)) != _u5573) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5573), hAPP(c_Finite__Set_Ocard(tc_fun(_u5571, tc_HOL_Obool)), _u5572)) = hAPP(c_Finite__Set_Ocard(_u5571), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u5571, tc_HOL_Obool), _u5572))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u5571, tc_HOL_Obool)), skolem138(_u5573, _u5572, _u5571)), _u5572)) )).
% 12.54/12.77 cnf(matrix-3157, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u5571, tc_HOL_Obool)), _u5572)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5571), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u5571, tc_HOL_Obool), _u5572))) | ( hAPP(c_Finite__Set_Ocard(_u5571), skolem136(_u5573, _u5572, _u5571)) != _u5573) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5573), hAPP(c_Finite__Set_Ocard(tc_fun(_u5571, tc_HOL_Obool)), _u5572)) = hAPP(c_Finite__Set_Ocard(_u5571), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u5571, tc_HOL_Obool), _u5572))) | ( skolem137(_u5573, _u5572, _u5571) != skolem138(_u5573, _u5572, _u5571)) )).
% 12.54/12.77 cnf(matrix-3158, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u5571, tc_HOL_Obool)), _u5572)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5571), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u5571, tc_HOL_Obool), _u5572))) | ( hAPP(c_Finite__Set_Ocard(_u5571), skolem136(_u5573, _u5572, _u5571)) != _u5573) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5573), hAPP(c_Finite__Set_Ocard(tc_fun(_u5571, tc_HOL_Obool)), _u5572)) = hAPP(c_Finite__Set_Ocard(_u5571), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u5571, tc_HOL_Obool), _u5572))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5571, tc_HOL_Obool)), skolem137(_u5573, _u5572, _u5571)), skolem138(_u5573, _u5572, _u5571)) != c_Orderings_Obot__class_Obot(tc_fun(_u5571, tc_HOL_Obool))) )).
% 12.54/12.77 cnf(matrix-3159, plain, ( ~class_Groups_Ocomm__monoid__mult(_u5575) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5576), _u5577)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5575, _u5576, c_Groups_Otimes__class_Otimes(_u5575)), _u5578), c_Groups_Oone__class_Oone(_u5575)), _u5577) = c_Groups_Oone__class_Oone(_u5575)) | hBOOL(hAPP(hAPP(c_member(_u5576), skolem139(_u5578, _u5577, _u5576, _u5575)), _u5577)) )).
% 12.54/12.77 cnf(matrix-3160, plain, ( ~class_Groups_Ocomm__monoid__mult(_u5575) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5576), _u5577)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5575, _u5576, c_Groups_Otimes__class_Otimes(_u5575)), _u5578), c_Groups_Oone__class_Oone(_u5575)), _u5577) = c_Groups_Oone__class_Oone(_u5575)) | ( hAPP(_u5578, skolem139(_u5578, _u5577, _u5576, _u5575)) != c_Groups_Oone__class_Oone(_u5575)) )).
% 12.54/12.77 cnf(matrix-3161, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5580), _u5581)) | ( hAPP(c_Finite__Set_Ocard(_u5580), _u5581) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u5580), skolem140(_u5581, _u5580)), _u5581)) )).
% 12.54/12.77 cnf(matrix-3162, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5580), _u5581)) | ( hAPP(c_Finite__Set_Ocard(_u5580), _u5581) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-3163, plain, ( ~class_Groups_Oab__semigroup__mult(_u5583) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5584), _u5585)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5583, _u5584, c_Groups_Otimes__class_Otimes(_u5583)), _u5586), _u5588), _u5585) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5583, _u5584, c_Groups_Otimes__class_Otimes(_u5583)), _u5587), _u5588), _u5585)) | hBOOL(hAPP(hAPP(c_member(_u5584), skolem141(_u5588, _u5587, _u5586, _u5585, _u5584, _u5583)), _u5585)) )).
% 12.54/12.77 cnf(matrix-3164, plain, ( ~class_Groups_Oab__semigroup__mult(_u5583) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5584), _u5585)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5583, _u5584, c_Groups_Otimes__class_Otimes(_u5583)), _u5586), _u5588), _u5585) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5583, _u5584, c_Groups_Otimes__class_Otimes(_u5583)), _u5587), _u5588), _u5585)) | ( hAPP(_u5586, skolem141(_u5588, _u5587, _u5586, _u5585, _u5584, _u5583)) != hAPP(_u5587, skolem141(_u5588, _u5587, _u5586, _u5585, _u5584, _u5583))) )).
% 12.54/12.77 cnf(matrix-3165, 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), _u5589))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5589) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5589)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.54/12.77 cnf(matrix-3166, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5590), _u5591)) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u5590, tc_HOL_Obool)), hAPP(c_Set_OPow(_u5590), _u5591)) = 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(_u5590), _u5591))) )).
% 12.54/12.77 cnf(matrix-3167, plain, ( ~class_Int_Onumber__ring(_u5592) | ~class_Int_Oring__char__0(_u5592) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5592), _u5593) != hAPP(c_Int_Onumber__class_Onumber__of(_u5592), _u5594)) | ( _u5593 = _u5594) )).
% 12.54/12.77 cnf(matrix-3168, plain, ( ~class_Int_Onumber__ring(_u5592) | ~class_Int_Oring__char__0(_u5592) | ( _u5593 != _u5594) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5592), _u5593) = hAPP(c_Int_Onumber__class_Onumber__of(_u5592), _u5594)) )).
% 12.54/12.77 cnf(matrix-3169, plain, ( ~class_Int_Onumber(_u5595) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596) != _u5597) | ( _u5597 = hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)) )).
% 12.54/12.77 cnf(matrix-3170, plain, ( ~class_Int_Onumber(_u5595) | ( _u5597 != hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596) = _u5597) )).
% 12.54/12.77 cnf(matrix-3171, plain, ( ~class_Int_Onumber__ring(_u5598) | ~class_Rings_Olinordered__idom(_u5598) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5598), hAPP(c_Int_Onumber__class_Onumber__of(_u5598), _u5599)), hAPP(c_Int_Onumber__class_Onumber__of(_u5598), _u5600))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5599), _u5600)) )).
% 12.54/12.77 cnf(matrix-3172, plain, ( ~class_Int_Onumber__ring(_u5598) | ~class_Rings_Olinordered__idom(_u5598) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5599), _u5600)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5598), hAPP(c_Int_Onumber__class_Onumber__of(_u5598), _u5599)), hAPP(c_Int_Onumber__class_Onumber__of(_u5598), _u5600))) )).
% 12.54/12.77 cnf(matrix-3173, plain, ( ~class_Int_Onumber__ring(_u5601) | ~class_Rings_Olinordered__idom(_u5601) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5601), hAPP(c_Int_Onumber__class_Onumber__of(_u5601), _u5602)), hAPP(c_Int_Onumber__class_Onumber__of(_u5601), _u5603))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5602), _u5603)) )).
% 12.54/12.77 cnf(matrix-3174, plain, ( ~class_Int_Onumber__ring(_u5601) | ~class_Rings_Olinordered__idom(_u5601) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5602), _u5603)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5601), hAPP(c_Int_Onumber__class_Onumber__of(_u5601), _u5602)), hAPP(c_Int_Onumber__class_Onumber__of(_u5601), _u5603))) )).
% 12.54/12.77 cnf(matrix-3175, plain, ( ~class_Rings_Ocomm__semiring__1(_u5604) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5604), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5604), _u5605), _u5606)), _u5607) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5604), hAPP(hAPP(c_Power_Opower__class_Opower(_u5604), _u5605), _u5607)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5604), _u5606), _u5607))) )).
% 12.54/12.77 cnf(matrix-3176, plain, ( ~class_Int_Onumber__ring(_u5608) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5608), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5609), _u5610)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5608), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5609)), hAPP(c_Int_Onumber__class_Onumber__of(_u5608), _u5610))) )).
% 12.54/12.77 cnf(matrix-3177, plain, ( ~class_Int_Onumber__ring(_u5611) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5611), hAPP(c_Int_Onumber__class_Onumber__of(_u5611), _u5612)), hAPP(c_Int_Onumber__class_Onumber__of(_u5611), _u5613)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5611), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5612), _u5613))) )).
% 12.54/12.77 cnf(matrix-3178, plain, ( ~class_Int_Onumber__ring(_u5614) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5614), hAPP(c_Int_Onumber__class_Onumber__of(_u5614), _u5615)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5614), hAPP(c_Int_Onumber__class_Onumber__of(_u5614), _u5616)), _u5617)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5614), hAPP(c_Int_Onumber__class_Onumber__of(_u5614), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5615), _u5616))), _u5617)) )).
% 12.54/12.77 cnf(matrix-3179, plain, ( ~class_Int_Onumber__ring(_u5618) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5618), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5619), _u5620)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5618), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5619)), hAPP(c_Int_Onumber__class_Onumber__of(_u5618), _u5620))) )).
% 12.54/12.77 cnf(matrix-3180, plain, ( ~class_Int_Onumber__ring(_u5621) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5621), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5622)), hAPP(c_Int_Onumber__class_Onumber__of(_u5621), _u5623)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5621), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5622), _u5623))) )).
% 12.54/12.77 cnf(matrix-3181, plain, ( ~class_Int_Onumber__ring(_u5624) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5624), hAPP(c_Int_Onumber__class_Onumber__of(_u5624), _u5625)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5624), hAPP(c_Int_Onumber__class_Onumber__of(_u5624), _u5626)), _u5627)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5624), hAPP(c_Int_Onumber__class_Onumber__of(_u5624), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5625), _u5626))), _u5627)) )).
% 12.54/12.77 cnf(matrix-3182, plain, ( ~class_Int_Onumber__ring(_u5628) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5628), hAPP(c_Int_Onumber__class_Onumber__of(_u5628), _u5629)), hAPP(c_Int_Onumber__class_Onumber__of(_u5628), _u5630)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5628), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5629), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5630)))) )).
% 12.54/12.77 cnf(matrix-3183, plain, ( ~class_Int_Onumber__ring(_u5631) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5631), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5632), _u5633)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5631), hAPP(c_Int_Onumber__class_Onumber__of(_u5631), _u5632)), hAPP(c_Int_Onumber__class_Onumber__of(_u5631), _u5633))) )).
% 12.54/12.77 cnf(matrix-3184, plain, ( ~class_Int_Onumber__ring(_u5634) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5634), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5635)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5634), hAPP(c_Int_Onumber__class_Onumber__of(_u5634), _u5635))) )).
% 12.54/12.77 cnf(matrix-3185, plain, ( ~class_Int_Onumber__ring(_u5636) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5636), hAPP(c_Int_Onumber__class_Onumber__of(_u5636), _u5637)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5636), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5637))) )).
% 12.54/12.77 cnf(matrix-3186, plain, ( ~class_Rings_Ocomm__semiring__1(_u5638) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5638), hAPP(hAPP(c_Power_Opower__class_Opower(_u5638), _u5639), _u5640)), _u5641) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5638), _u5639), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5640), _u5641))) )).
% 12.54/12.77 cnf(matrix-3187, plain, ( ~class_Rings_Ocomm__semiring__1(_u5642) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5642), _u5643), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u5643) )).
% 12.54/12.77 cnf(matrix-3188, plain, ( ~class_Int_Onumber(_u5644) | ~class_Orderings_Olinorder(_u5644) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5644), hAPP(c_Int_Onumber__class_Onumber__of(_u5644), _u5645)), hAPP(c_Int_Onumber__class_Onumber__of(_u5644), _u5646))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5644), hAPP(c_Int_Onumber__class_Onumber__of(_u5644), _u5646)), hAPP(c_Int_Onumber__class_Onumber__of(_u5644), _u5645))) )).
% 12.54/12.77 cnf(matrix-3189, plain, ( ~class_Int_Onumber(_u5644) | ~class_Orderings_Olinorder(_u5644) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5644), hAPP(c_Int_Onumber__class_Onumber__of(_u5644), _u5646)), hAPP(c_Int_Onumber__class_Onumber__of(_u5644), _u5645))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5644), hAPP(c_Int_Onumber__class_Onumber__of(_u5644), _u5645)), hAPP(c_Int_Onumber__class_Onumber__of(_u5644), _u5646))) )).
% 12.54/12.77 cnf(matrix-3190, plain, ( ~class_Int_Onumber(_u5647) | ~class_Rings_Osemiring(_u5647) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5647), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5647), _u5648), _u5649)), hAPP(c_Int_Onumber__class_Onumber__of(_u5647), _u5650)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5647), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5647), _u5648), hAPP(c_Int_Onumber__class_Onumber__of(_u5647), _u5650))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5647), _u5649), hAPP(c_Int_Onumber__class_Onumber__of(_u5647), _u5650)))) )).
% 12.54/12.77 cnf(matrix-3191, plain, ( ~class_Int_Onumber(_u5651) | ~class_Rings_Osemiring(_u5651) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5651), hAPP(c_Int_Onumber__class_Onumber__of(_u5651), _u5652)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5651), _u5653), _u5654)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5651), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5651), hAPP(c_Int_Onumber__class_Onumber__of(_u5651), _u5652)), _u5653)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5651), hAPP(c_Int_Onumber__class_Onumber__of(_u5651), _u5652)), _u5654))) )).
% 12.54/12.77 cnf(matrix-3192, plain, ( ~class_Rings_Ocomm__semiring__1(_u5655) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5655), _u5656), hAPP(c_Nat_OSuc, _u5657)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5655), _u5656), hAPP(hAPP(c_Power_Opower__class_Opower(_u5655), _u5656), _u5657))) )).
% 12.54/12.77 cnf(matrix-3193, plain, ( ~class_Rings_Ocomm__semiring__1(_u5658) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5658), _u5659), hAPP(hAPP(c_Power_Opower__class_Opower(_u5658), _u5659), _u5660)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5658), _u5659), hAPP(c_Nat_OSuc, _u5660))) )).
% 12.54/12.77 cnf(matrix-3194, plain, ( ~class_Rings_Ocomm__semiring__1(_u5661) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5661), hAPP(hAPP(c_Power_Opower__class_Opower(_u5661), _u5662), _u5663)), _u5662) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5661), _u5662), hAPP(c_Nat_OSuc, _u5663))) )).
% 12.54/12.77 cnf(matrix-3195, plain, ( ~class_Int_Onumber__ring(_u5664) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5664), hAPP(c_Int_Onumber__class_Onumber__of(_u5664), _u5665)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5664), hAPP(c_Int_Onumber__class_Onumber__of(_u5664), _u5666)), _u5667)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5664), hAPP(c_Int_Onumber__class_Onumber__of(_u5664), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5665), _u5666))), _u5667)) )).
% 12.54/12.77 cnf(matrix-3196, plain, ( ~class_Int_Onumber__ring(_u5668) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5668), hAPP(c_Int_Onumber__class_Onumber__of(_u5668), _u5669)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5668), _u5670), hAPP(c_Int_Onumber__class_Onumber__of(_u5668), _u5671))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5668), hAPP(c_Int_Onumber__class_Onumber__of(_u5668), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5669), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5671)))), _u5670)) )).
% 12.54/12.77 cnf(matrix-3197, plain, ( ~class_Int_Onumber(_u5672) | ~class_Rings_Oring(_u5672) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5672), hAPP(c_Int_Onumber__class_Onumber__of(_u5672), _u5673)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5672), _u5674), _u5675)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5672), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5672), hAPP(c_Int_Onumber__class_Onumber__of(_u5672), _u5673)), _u5674)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5672), hAPP(c_Int_Onumber__class_Onumber__of(_u5672), _u5673)), _u5675))) )).
% 12.54/12.77 cnf(matrix-3198, plain, ( ~class_Int_Onumber(_u5676) | ~class_Rings_Oring(_u5676) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5676), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5676), _u5677), _u5678)), hAPP(c_Int_Onumber__class_Onumber__of(_u5676), _u5679)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5676), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5676), _u5677), hAPP(c_Int_Onumber__class_Onumber__of(_u5676), _u5679))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5676), _u5678), hAPP(c_Int_Onumber__class_Onumber__of(_u5676), _u5679)))) )).
% 12.54/12.77 cnf(matrix-3199, plain, ( ~class_Rings_Ocomm__semiring__1(_u5680) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5680), _u5681), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u5680)) )).
% 12.54/12.77 cnf(matrix-3200, plain, ( ~class_Rings_Ocomm__semiring__1(_u5682) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5682), hAPP(hAPP(c_Power_Opower__class_Opower(_u5682), _u5683), _u5684)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5682), _u5683), _u5685)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5682), _u5683), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5684), _u5685))) )).
% 12.54/12.77 cnf(matrix-3201, plain, ( ~class_Int_Onumber__ring(_u5686) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5686), hAPP(c_Groups_Ouminus__class_Ouminus(_u5686), hAPP(c_Int_Onumber__class_Onumber__of(_u5686), _u5687))), _u5688) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5686), hAPP(c_Int_Onumber__class_Onumber__of(_u5686), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5687))), _u5688)) )).
% 12.54/12.77 cnf(matrix-3202, plain, ( ~class_Rings_Oring__1(_u5689) | ~hBOOL(hAPP(hAPP(c_member(_u5689), _u5690), c_Int_Oring__1__class_OInts(_u5689))) | hBOOL(hAPP(hAPP(c_member(_u5689), hAPP(hAPP(c_Power_Opower__class_Opower(_u5689), _u5690), _u5691)), c_Int_Oring__1__class_OInts(_u5689))) )).
% 12.54/12.77 cnf(matrix-3203, plain, ( ~class_Int_Onumber__ring(_u5692) | hBOOL(hAPP(hAPP(c_member(_u5692), hAPP(c_Int_Onumber__class_Onumber__of(_u5692), _u5693)), c_Int_Oring__1__class_OInts(_u5692))) )).
% 12.54/12.77 cnf(matrix-3204, plain, ( ~class_Fields_Ofield__inverse__zero(_u5694) | ~class_Int_Onumber(_u5694) | ( _u5695 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5694), _u5696), hAPP(c_Int_Onumber__class_Onumber__of(_u5694), _u5697))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5694), _u5697) = c_Groups_Ozero__class_Ozero(_u5694)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5694), _u5695), hAPP(c_Int_Onumber__class_Onumber__of(_u5694), _u5697)) = _u5696) )).
% 12.54/12.77 cnf(matrix-3205, plain, ( ~class_Fields_Ofield__inverse__zero(_u5694) | ~class_Int_Onumber(_u5694) | ( _u5695 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5694), _u5696), hAPP(c_Int_Onumber__class_Onumber__of(_u5694), _u5697))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5694), _u5697) != c_Groups_Ozero__class_Ozero(_u5694)) | ( _u5695 = c_Groups_Ozero__class_Ozero(_u5694)) )).
% 12.54/12.77 cnf(matrix-3206, plain, ( ~class_Fields_Ofield__inverse__zero(_u5694) | ~class_Int_Onumber(_u5694) | ( _u5695 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5694), _u5696), hAPP(c_Int_Onumber__class_Onumber__of(_u5694), _u5697))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5694), _u5697) != c_Groups_Ozero__class_Ozero(_u5694)) | ( _u5695 != c_Groups_Ozero__class_Ozero(_u5694)) )).
% 12.54/12.77 cnf(matrix-3207, plain, ( ~class_Fields_Ofield__inverse__zero(_u5694) | ~class_Int_Onumber(_u5694) | ( _u5695 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5694), _u5696), hAPP(c_Int_Onumber__class_Onumber__of(_u5694), _u5697))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5694), _u5695), hAPP(c_Int_Onumber__class_Onumber__of(_u5694), _u5697)) != _u5696) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5694), _u5697) = c_Groups_Ozero__class_Ozero(_u5694)) )).
% 12.54/12.77 cnf(matrix-3208, plain, ( ~class_Fields_Ofield__inverse__zero(_u5694) | ~class_Int_Onumber(_u5694) | ( _u5695 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5694), _u5696), hAPP(c_Int_Onumber__class_Onumber__of(_u5694), _u5697))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5694), _u5695), hAPP(c_Int_Onumber__class_Onumber__of(_u5694), _u5697)) != _u5696) | ( _u5695 != c_Groups_Ozero__class_Ozero(_u5694)) )).
% 12.54/12.77 cnf(matrix-3209, plain, ( ~class_Fields_Ofield__inverse__zero(_u5698) | ~class_Int_Onumber(_u5698) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5698), _u5699) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5698), _u5700), _u5701)) | ( _u5701 = c_Groups_Ozero__class_Ozero(_u5698)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5698), hAPP(c_Int_Onumber__class_Onumber__of(_u5698), _u5699)), _u5701) = _u5700) )).
% 12.54/12.77 cnf(matrix-3210, plain, ( ~class_Fields_Ofield__inverse__zero(_u5698) | ~class_Int_Onumber(_u5698) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5698), _u5699) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5698), _u5700), _u5701)) | ( _u5701 != c_Groups_Ozero__class_Ozero(_u5698)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5698), _u5699) = c_Groups_Ozero__class_Ozero(_u5698)) )).
% 12.54/12.77 cnf(matrix-3211, plain, ( ~class_Fields_Ofield__inverse__zero(_u5698) | ~class_Int_Onumber(_u5698) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5698), _u5699) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5698), _u5700), _u5701)) | ( _u5701 != c_Groups_Ozero__class_Ozero(_u5698)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5698), _u5699) != c_Groups_Ozero__class_Ozero(_u5698)) )).
% 12.54/12.77 cnf(matrix-3212, plain, ( ~class_Fields_Ofield__inverse__zero(_u5698) | ~class_Int_Onumber(_u5698) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5698), _u5699) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5698), _u5700), _u5701)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5698), hAPP(c_Int_Onumber__class_Onumber__of(_u5698), _u5699)), _u5701) != _u5700) | ( _u5701 = c_Groups_Ozero__class_Ozero(_u5698)) )).
% 12.54/12.77 cnf(matrix-3213, plain, ( ~class_Fields_Ofield__inverse__zero(_u5698) | ~class_Int_Onumber(_u5698) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5698), _u5699) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5698), _u5700), _u5701)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5698), hAPP(c_Int_Onumber__class_Onumber__of(_u5698), _u5699)), _u5701) != _u5700) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5698), _u5699) != c_Groups_Ozero__class_Ozero(_u5698)) )).
% 12.54/12.77 cnf(matrix-3214, plain, ( ~class_Fields_Ofield__inverse__zero(_u5702) | ~class_Int_Onumber(_u5702) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5702), _u5703), _u5704) != hAPP(c_Int_Onumber__class_Onumber__of(_u5702), _u5705)) | ( _u5704 = c_Groups_Ozero__class_Ozero(_u5702)) | ( _u5703 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5702), hAPP(c_Int_Onumber__class_Onumber__of(_u5702), _u5705)), _u5704)) )).
% 12.54/12.77 cnf(matrix-3215, plain, ( ~class_Fields_Ofield__inverse__zero(_u5702) | ~class_Int_Onumber(_u5702) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5702), _u5703), _u5704) != hAPP(c_Int_Onumber__class_Onumber__of(_u5702), _u5705)) | ( _u5704 != c_Groups_Ozero__class_Ozero(_u5702)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5702), _u5705) = c_Groups_Ozero__class_Ozero(_u5702)) )).
% 12.54/12.77 cnf(matrix-3216, plain, ( ~class_Fields_Ofield__inverse__zero(_u5702) | ~class_Int_Onumber(_u5702) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5702), _u5703), _u5704) = hAPP(c_Int_Onumber__class_Onumber__of(_u5702), _u5705)) | ( _u5704 != c_Groups_Ozero__class_Ozero(_u5702)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5702), _u5705) != c_Groups_Ozero__class_Ozero(_u5702)) )).
% 12.54/12.77 cnf(matrix-3217, plain, ( ~class_Fields_Ofield__inverse__zero(_u5702) | ~class_Int_Onumber(_u5702) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5702), _u5703), _u5704) = hAPP(c_Int_Onumber__class_Onumber__of(_u5702), _u5705)) | ( _u5703 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5702), hAPP(c_Int_Onumber__class_Onumber__of(_u5702), _u5705)), _u5704)) | ( _u5704 = c_Groups_Ozero__class_Ozero(_u5702)) )).
% 12.54/12.77 cnf(matrix-3218, plain, ( ~class_Fields_Ofield__inverse__zero(_u5702) | ~class_Int_Onumber(_u5702) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5702), _u5703), _u5704) = hAPP(c_Int_Onumber__class_Onumber__of(_u5702), _u5705)) | ( _u5703 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5702), hAPP(c_Int_Onumber__class_Onumber__of(_u5702), _u5705)), _u5704)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5702), _u5705) != c_Groups_Ozero__class_Ozero(_u5702)) )).
% 12.54/12.77 cnf(matrix-3219, plain, ( ~class_Fields_Ofield__inverse__zero(_u5706) | ~class_Int_Onumber(_u5706) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5706), _u5707), hAPP(c_Int_Onumber__class_Onumber__of(_u5706), _u5708)) != _u5709) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5706), _u5708) = c_Groups_Ozero__class_Ozero(_u5706)) | ( _u5707 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5706), _u5709), hAPP(c_Int_Onumber__class_Onumber__of(_u5706), _u5708))) )).
% 12.54/12.77 cnf(matrix-3220, plain, ( ~class_Fields_Ofield__inverse__zero(_u5706) | ~class_Int_Onumber(_u5706) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5706), _u5707), hAPP(c_Int_Onumber__class_Onumber__of(_u5706), _u5708)) != _u5709) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5706), _u5708) != c_Groups_Ozero__class_Ozero(_u5706)) | ( _u5709 = c_Groups_Ozero__class_Ozero(_u5706)) )).
% 12.54/12.77 cnf(matrix-3221, plain, ( ~class_Fields_Ofield__inverse__zero(_u5706) | ~class_Int_Onumber(_u5706) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5706), _u5707), hAPP(c_Int_Onumber__class_Onumber__of(_u5706), _u5708)) = _u5709) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5706), _u5708) != c_Groups_Ozero__class_Ozero(_u5706)) | ( _u5709 != c_Groups_Ozero__class_Ozero(_u5706)) )).
% 12.54/12.77 cnf(matrix-3222, plain, ( ~class_Fields_Ofield__inverse__zero(_u5706) | ~class_Int_Onumber(_u5706) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5706), _u5707), hAPP(c_Int_Onumber__class_Onumber__of(_u5706), _u5708)) = _u5709) | ( _u5707 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5706), _u5709), hAPP(c_Int_Onumber__class_Onumber__of(_u5706), _u5708))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5706), _u5708) = c_Groups_Ozero__class_Ozero(_u5706)) )).
% 12.54/12.77 cnf(matrix-3223, plain, ( ~class_Fields_Ofield__inverse__zero(_u5706) | ~class_Int_Onumber(_u5706) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5706), _u5707), hAPP(c_Int_Onumber__class_Onumber__of(_u5706), _u5708)) = _u5709) | ( _u5707 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5706), _u5709), hAPP(c_Int_Onumber__class_Onumber__of(_u5706), _u5708))) | ( _u5709 != c_Groups_Ozero__class_Ozero(_u5706)) )).
% 12.54/12.77 cnf(matrix-3224, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5710) | ~class_Int_Onumber(_u5710) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5711), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5710), _u5712), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), c_Groups_Ozero__class_Ozero(_u5710)), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5710), _u5711), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713))), _u5712)) )).
% 12.54/12.77 cnf(matrix-3225, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5710) | ~class_Int_Onumber(_u5710) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5711), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5710), _u5712), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), c_Groups_Ozero__class_Ozero(_u5710)), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)), c_Groups_Ozero__class_Ozero(_u5710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5712), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5710), _u5711), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)))) )).
% 12.54/12.77 cnf(matrix-3226, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5710) | ~class_Int_Onumber(_u5710) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5711), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5710), _u5712), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), c_Groups_Ozero__class_Ozero(_u5710)), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)), c_Groups_Ozero__class_Ozero(_u5710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5711), c_Groups_Ozero__class_Ozero(_u5710))) )).
% 12.54/12.77 cnf(matrix-3227, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5710) | ~class_Int_Onumber(_u5710) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5711), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5710), _u5712), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), c_Groups_Ozero__class_Ozero(_u5710)), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)), c_Groups_Ozero__class_Ozero(_u5710))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5711), c_Groups_Ozero__class_Ozero(_u5710))) )).
% 12.54/12.77 cnf(matrix-3228, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5710) | ~class_Int_Onumber(_u5710) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5711), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5710), _u5712), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), c_Groups_Ozero__class_Ozero(_u5710)), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5712), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5710), _u5711), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)), c_Groups_Ozero__class_Ozero(_u5710))) )).
% 12.54/12.77 cnf(matrix-3229, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5710) | ~class_Int_Onumber(_u5710) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5711), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5710), _u5712), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), c_Groups_Ozero__class_Ozero(_u5710)), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5712), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5710), _u5711), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5711), c_Groups_Ozero__class_Ozero(_u5710))) )).
% 12.54/12.77 cnf(matrix-3230, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5710) | ~class_Int_Onumber(_u5710) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5711), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5710), _u5712), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5710), _u5711), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713))), _u5712)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), c_Groups_Ozero__class_Ozero(_u5710)), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713))) )).
% 12.54/12.77 cnf(matrix-3231, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5710) | ~class_Int_Onumber(_u5710) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5711), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5710), _u5712), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5710), _u5711), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713))), _u5712)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)), c_Groups_Ozero__class_Ozero(_u5710))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5711), c_Groups_Ozero__class_Ozero(_u5710))) )).
% 12.54/12.77 cnf(matrix-3232, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5710) | ~class_Int_Onumber(_u5710) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5711), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5710), _u5712), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5710), _u5711), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713))), _u5712)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5712), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5710), _u5711), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)), c_Groups_Ozero__class_Ozero(_u5710))) )).
% 12.54/12.77 cnf(matrix-3233, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5710) | ~class_Int_Onumber(_u5710) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5711), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5710), _u5712), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5710), _u5711), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713))), _u5712)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5712), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5710), _u5711), hAPP(c_Int_Onumber__class_Onumber__of(_u5710), _u5713)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5710), _u5711), c_Groups_Ozero__class_Ozero(_u5710))) )).
% 12.54/12.77 cnf(matrix-3234, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5714) | ~class_Int_Onumber(_u5714) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5714), _u5716), _u5717))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), c_Groups_Ozero__class_Ozero(_u5714)), _u5717)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), _u5717)), _u5716)) )).
% 12.54/12.77 cnf(matrix-3235, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5714) | ~class_Int_Onumber(_u5714) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5714), _u5716), _u5717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), c_Groups_Ozero__class_Ozero(_u5714)), _u5717)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), _u5717), c_Groups_Ozero__class_Ozero(_u5714))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), _u5716), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), _u5717))) )).
% 12.54/12.77 cnf(matrix-3236, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5714) | ~class_Int_Onumber(_u5714) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5714), _u5716), _u5717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), c_Groups_Ozero__class_Ozero(_u5714)), _u5717)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), _u5717), c_Groups_Ozero__class_Ozero(_u5714))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), c_Groups_Ozero__class_Ozero(_u5714))) )).
% 12.54/12.77 cnf(matrix-3237, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5714) | ~class_Int_Onumber(_u5714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5714), _u5716), _u5717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), c_Groups_Ozero__class_Ozero(_u5714)), _u5717)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), _u5717), c_Groups_Ozero__class_Ozero(_u5714))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), c_Groups_Ozero__class_Ozero(_u5714))) )).
% 12.54/12.77 cnf(matrix-3238, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5714) | ~class_Int_Onumber(_u5714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5714), _u5716), _u5717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), c_Groups_Ozero__class_Ozero(_u5714)), _u5717)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), _u5716), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), _u5717))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), _u5717), c_Groups_Ozero__class_Ozero(_u5714))) )).
% 12.54/12.77 cnf(matrix-3239, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5714) | ~class_Int_Onumber(_u5714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5714), _u5716), _u5717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), c_Groups_Ozero__class_Ozero(_u5714)), _u5717)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), _u5716), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), _u5717))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), c_Groups_Ozero__class_Ozero(_u5714))) )).
% 12.54/12.77 cnf(matrix-3240, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5714) | ~class_Int_Onumber(_u5714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5714), _u5716), _u5717))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), _u5717)), _u5716)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), c_Groups_Ozero__class_Ozero(_u5714)), _u5717)) )).
% 12.54/12.77 cnf(matrix-3241, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5714) | ~class_Int_Onumber(_u5714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5714), _u5716), _u5717))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), _u5717)), _u5716)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), _u5717), c_Groups_Ozero__class_Ozero(_u5714))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), c_Groups_Ozero__class_Ozero(_u5714))) )).
% 12.54/12.77 cnf(matrix-3242, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5714) | ~class_Int_Onumber(_u5714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5714), _u5716), _u5717))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), _u5717)), _u5716)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), _u5716), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), _u5717))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), _u5717), c_Groups_Ozero__class_Ozero(_u5714))) )).
% 12.54/12.77 cnf(matrix-3243, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5714) | ~class_Int_Onumber(_u5714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5714), _u5716), _u5717))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), _u5717)), _u5716)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), _u5716), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), _u5717))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5714), hAPP(c_Int_Onumber__class_Onumber__of(_u5714), _u5715)), c_Groups_Ozero__class_Ozero(_u5714))) )).
% 12.54/12.77 cnf(matrix-3244, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5718) | ~class_Int_Onumber(_u5718) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5718), _u5719), _u5720)), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), c_Groups_Ozero__class_Ozero(_u5718)), _u5720)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), _u5719), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5718), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721)), _u5720))) )).
% 12.54/12.77 cnf(matrix-3245, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5718) | ~class_Int_Onumber(_u5718) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5718), _u5719), _u5720)), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), c_Groups_Ozero__class_Ozero(_u5718)), _u5720)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), _u5720), c_Groups_Ozero__class_Ozero(_u5718))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5718), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721)), _u5720)), _u5719)) )).
% 12.54/12.77 cnf(matrix-3246, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5718) | ~class_Int_Onumber(_u5718) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5718), _u5719), _u5720)), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), c_Groups_Ozero__class_Ozero(_u5718)), _u5720)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), _u5720), c_Groups_Ozero__class_Ozero(_u5718))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), c_Groups_Ozero__class_Ozero(_u5718)), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721))) )).
% 12.54/12.77 cnf(matrix-3247, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5718) | ~class_Int_Onumber(_u5718) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5718), _u5719), _u5720)), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), c_Groups_Ozero__class_Ozero(_u5718)), _u5720)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), _u5720), c_Groups_Ozero__class_Ozero(_u5718))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), c_Groups_Ozero__class_Ozero(_u5718)), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721))) )).
% 12.54/12.77 cnf(matrix-3248, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5718) | ~class_Int_Onumber(_u5718) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5718), _u5719), _u5720)), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), c_Groups_Ozero__class_Ozero(_u5718)), _u5720)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5718), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721)), _u5720)), _u5719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), _u5720), c_Groups_Ozero__class_Ozero(_u5718))) )).
% 12.54/12.77 cnf(matrix-3249, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5718) | ~class_Int_Onumber(_u5718) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5718), _u5719), _u5720)), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), c_Groups_Ozero__class_Ozero(_u5718)), _u5720)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5718), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721)), _u5720)), _u5719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), c_Groups_Ozero__class_Ozero(_u5718)), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721))) )).
% 12.54/12.77 cnf(matrix-3250, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5718) | ~class_Int_Onumber(_u5718) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5718), _u5719), _u5720)), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), _u5719), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5718), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721)), _u5720))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), c_Groups_Ozero__class_Ozero(_u5718)), _u5720)) )).
% 12.54/12.77 cnf(matrix-3251, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5718) | ~class_Int_Onumber(_u5718) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5718), _u5719), _u5720)), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), _u5719), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5718), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721)), _u5720))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), _u5720), c_Groups_Ozero__class_Ozero(_u5718))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), c_Groups_Ozero__class_Ozero(_u5718)), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721))) )).
% 12.54/12.77 cnf(matrix-3252, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5718) | ~class_Int_Onumber(_u5718) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5718), _u5719), _u5720)), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), _u5719), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5718), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721)), _u5720))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5718), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721)), _u5720)), _u5719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), _u5720), c_Groups_Ozero__class_Ozero(_u5718))) )).
% 12.54/12.77 cnf(matrix-3253, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5718) | ~class_Int_Onumber(_u5718) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5718), _u5719), _u5720)), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), _u5719), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5718), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721)), _u5720))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5718), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721)), _u5720)), _u5719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5718), c_Groups_Ozero__class_Ozero(_u5718)), hAPP(c_Int_Onumber__class_Onumber__of(_u5718), _u5721))) )).
% 12.54/12.77 cnf(matrix-3254, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5722) | ~class_Int_Onumber(_u5722) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5722), _u5723), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))), _u5725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), c_Groups_Ozero__class_Ozero(_u5722)), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), _u5723), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5722), _u5725), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724)))) )).
% 12.54/12.77 cnf(matrix-3255, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5722) | ~class_Int_Onumber(_u5722) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5722), _u5723), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))), _u5725)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), c_Groups_Ozero__class_Ozero(_u5722)), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724)), c_Groups_Ozero__class_Ozero(_u5722))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5722), _u5725), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))), _u5723)) )).
% 12.54/12.77 cnf(matrix-3256, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5722) | ~class_Int_Onumber(_u5722) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5722), _u5723), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))), _u5725)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), c_Groups_Ozero__class_Ozero(_u5722)), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724)), c_Groups_Ozero__class_Ozero(_u5722))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), c_Groups_Ozero__class_Ozero(_u5722)), _u5725)) )).
% 12.54/12.77 cnf(matrix-3257, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5722) | ~class_Int_Onumber(_u5722) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5722), _u5723), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))), _u5725)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), c_Groups_Ozero__class_Ozero(_u5722)), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724)), c_Groups_Ozero__class_Ozero(_u5722))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), c_Groups_Ozero__class_Ozero(_u5722)), _u5725)) )).
% 12.54/12.77 cnf(matrix-3258, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5722) | ~class_Int_Onumber(_u5722) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5722), _u5723), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))), _u5725)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), c_Groups_Ozero__class_Ozero(_u5722)), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5722), _u5725), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))), _u5723)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724)), c_Groups_Ozero__class_Ozero(_u5722))) )).
% 12.54/12.77 cnf(matrix-3259, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5722) | ~class_Int_Onumber(_u5722) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5722), _u5723), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))), _u5725)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), c_Groups_Ozero__class_Ozero(_u5722)), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5722), _u5725), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))), _u5723)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), c_Groups_Ozero__class_Ozero(_u5722)), _u5725)) )).
% 12.54/12.77 cnf(matrix-3260, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5722) | ~class_Int_Onumber(_u5722) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5722), _u5723), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))), _u5725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), _u5723), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5722), _u5725), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), c_Groups_Ozero__class_Ozero(_u5722)), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))) )).
% 12.54/12.77 cnf(matrix-3261, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5722) | ~class_Int_Onumber(_u5722) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5722), _u5723), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))), _u5725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), _u5723), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5722), _u5725), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724)), c_Groups_Ozero__class_Ozero(_u5722))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), c_Groups_Ozero__class_Ozero(_u5722)), _u5725)) )).
% 12.54/12.77 cnf(matrix-3262, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5722) | ~class_Int_Onumber(_u5722) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5722), _u5723), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))), _u5725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), _u5723), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5722), _u5725), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5722), _u5725), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))), _u5723)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724)), c_Groups_Ozero__class_Ozero(_u5722))) )).
% 12.54/12.77 cnf(matrix-3263, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5722) | ~class_Int_Onumber(_u5722) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5722), _u5723), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))), _u5725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), _u5723), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5722), _u5725), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5722), _u5725), hAPP(c_Int_Onumber__class_Onumber__of(_u5722), _u5724))), _u5723)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5722), c_Groups_Ozero__class_Ozero(_u5722)), _u5725)) )).
% 12.54/12.77 cnf(matrix-3264, plain, ( ( _u5728 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u5730), _u5728) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-3265, plain, ( ( _u5729 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u5731), _u5729) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5731), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u5731), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5729), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 12.54/12.77 cnf(matrix-3266, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5732) | ~class_Int_Onumber(_u5732) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5732), _u5733), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))), _u5735)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5732), c_Groups_Ozero__class_Ozero(_u5732)), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), _u5733), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5732), _u5735), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734)))) )).
% 12.54/12.77 cnf(matrix-3267, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5732) | ~class_Int_Onumber(_u5732) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5732), _u5733), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))), _u5735)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5732), c_Groups_Ozero__class_Ozero(_u5732)), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5732), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734)), c_Groups_Ozero__class_Ozero(_u5732))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5732), _u5735), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))), _u5733)) )).
% 12.54/12.77 cnf(matrix-3268, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5732) | ~class_Int_Onumber(_u5732) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5732), _u5733), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))), _u5735)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5732), c_Groups_Ozero__class_Ozero(_u5732)), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5732), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734)), c_Groups_Ozero__class_Ozero(_u5732))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), c_Groups_Ozero__class_Ozero(_u5732)), _u5735)) )).
% 12.54/12.77 cnf(matrix-3269, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5732) | ~class_Int_Onumber(_u5732) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5732), _u5733), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))), _u5735)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5732), c_Groups_Ozero__class_Ozero(_u5732)), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5732), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734)), c_Groups_Ozero__class_Ozero(_u5732))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), c_Groups_Ozero__class_Ozero(_u5732)), _u5735)) )).
% 12.54/12.77 cnf(matrix-3270, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5732) | ~class_Int_Onumber(_u5732) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5732), _u5733), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))), _u5735)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5732), c_Groups_Ozero__class_Ozero(_u5732)), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5732), _u5735), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))), _u5733)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5732), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734)), c_Groups_Ozero__class_Ozero(_u5732))) )).
% 12.54/12.77 cnf(matrix-3271, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5732) | ~class_Int_Onumber(_u5732) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5732), _u5733), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))), _u5735)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5732), c_Groups_Ozero__class_Ozero(_u5732)), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5732), _u5735), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))), _u5733)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), c_Groups_Ozero__class_Ozero(_u5732)), _u5735)) )).
% 12.54/12.77 cnf(matrix-3272, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5732) | ~class_Int_Onumber(_u5732) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5732), _u5733), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))), _u5735)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), _u5733), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5732), _u5735), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5732), c_Groups_Ozero__class_Ozero(_u5732)), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))) )).
% 12.54/12.77 cnf(matrix-3273, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5732) | ~class_Int_Onumber(_u5732) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5732), _u5733), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))), _u5735)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), _u5733), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5732), _u5735), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5732), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734)), c_Groups_Ozero__class_Ozero(_u5732))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), c_Groups_Ozero__class_Ozero(_u5732)), _u5735)) )).
% 12.54/12.77 cnf(matrix-3274, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5732) | ~class_Int_Onumber(_u5732) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5732), _u5733), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))), _u5735)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), _u5733), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5732), _u5735), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5732), _u5735), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))), _u5733)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5732), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734)), c_Groups_Ozero__class_Ozero(_u5732))) )).
% 12.54/12.77 cnf(matrix-3275, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5732) | ~class_Int_Onumber(_u5732) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5732), _u5733), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))), _u5735)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), _u5733), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5732), _u5735), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5732), _u5735), hAPP(c_Int_Onumber__class_Onumber__of(_u5732), _u5734))), _u5733)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5732), c_Groups_Ozero__class_Ozero(_u5732)), _u5735)) )).
% 12.54/12.77 cnf(matrix-3276, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5736) | ~class_Int_Onumber(_u5736) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5736), _u5737), _u5738)), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5736), c_Groups_Ozero__class_Ozero(_u5736)), _u5738)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), _u5737), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5736), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739)), _u5738))) )).
% 12.54/12.77 cnf(matrix-3277, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5736) | ~class_Int_Onumber(_u5736) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5736), _u5737), _u5738)), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5736), c_Groups_Ozero__class_Ozero(_u5736)), _u5738)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5736), _u5738), c_Groups_Ozero__class_Ozero(_u5736))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5736), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739)), _u5738)), _u5737)) )).
% 12.54/12.77 cnf(matrix-3278, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5736) | ~class_Int_Onumber(_u5736) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5736), _u5737), _u5738)), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5736), c_Groups_Ozero__class_Ozero(_u5736)), _u5738)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5736), _u5738), c_Groups_Ozero__class_Ozero(_u5736))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), c_Groups_Ozero__class_Ozero(_u5736)), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739))) )).
% 12.54/12.77 cnf(matrix-3279, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5736) | ~class_Int_Onumber(_u5736) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5736), _u5737), _u5738)), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5736), c_Groups_Ozero__class_Ozero(_u5736)), _u5738)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5736), _u5738), c_Groups_Ozero__class_Ozero(_u5736))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), c_Groups_Ozero__class_Ozero(_u5736)), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739))) )).
% 12.54/12.77 cnf(matrix-3280, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5736) | ~class_Int_Onumber(_u5736) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5736), _u5737), _u5738)), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5736), c_Groups_Ozero__class_Ozero(_u5736)), _u5738)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5736), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739)), _u5738)), _u5737)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5736), _u5738), c_Groups_Ozero__class_Ozero(_u5736))) )).
% 12.54/12.77 cnf(matrix-3281, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5736) | ~class_Int_Onumber(_u5736) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5736), _u5737), _u5738)), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5736), c_Groups_Ozero__class_Ozero(_u5736)), _u5738)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5736), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739)), _u5738)), _u5737)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), c_Groups_Ozero__class_Ozero(_u5736)), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739))) )).
% 12.54/12.77 cnf(matrix-3282, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5736) | ~class_Int_Onumber(_u5736) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5736), _u5737), _u5738)), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), _u5737), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5736), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739)), _u5738))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5736), c_Groups_Ozero__class_Ozero(_u5736)), _u5738)) )).
% 12.54/12.77 cnf(matrix-3283, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5736) | ~class_Int_Onumber(_u5736) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5736), _u5737), _u5738)), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), _u5737), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5736), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739)), _u5738))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5736), _u5738), c_Groups_Ozero__class_Ozero(_u5736))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), c_Groups_Ozero__class_Ozero(_u5736)), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739))) )).
% 12.54/12.77 cnf(matrix-3284, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5736) | ~class_Int_Onumber(_u5736) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5736), _u5737), _u5738)), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), _u5737), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5736), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739)), _u5738))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5736), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739)), _u5738)), _u5737)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5736), _u5738), c_Groups_Ozero__class_Ozero(_u5736))) )).
% 12.54/12.77 cnf(matrix-3285, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5736) | ~class_Int_Onumber(_u5736) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5736), _u5737), _u5738)), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), _u5737), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5736), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739)), _u5738))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5736), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739)), _u5738)), _u5737)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5736), c_Groups_Ozero__class_Ozero(_u5736)), hAPP(c_Int_Onumber__class_Onumber__of(_u5736), _u5739))) )).
% 12.54/12.77 cnf(matrix-3286, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5740) | ~class_Int_Onumber(_u5740) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5740), _u5742), _u5743))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5740), c_Groups_Ozero__class_Ozero(_u5740)), _u5743)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), _u5743)), _u5742)) )).
% 12.54/12.77 cnf(matrix-3287, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5740) | ~class_Int_Onumber(_u5740) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5740), _u5742), _u5743))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5740), c_Groups_Ozero__class_Ozero(_u5740)), _u5743)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5740), _u5743), c_Groups_Ozero__class_Ozero(_u5740))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), _u5742), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), _u5743))) )).
% 12.54/12.77 cnf(matrix-3288, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5740) | ~class_Int_Onumber(_u5740) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5740), _u5742), _u5743))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5740), c_Groups_Ozero__class_Ozero(_u5740)), _u5743)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5740), _u5743), c_Groups_Ozero__class_Ozero(_u5740))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), c_Groups_Ozero__class_Ozero(_u5740))) )).
% 12.54/12.77 cnf(matrix-3289, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5740) | ~class_Int_Onumber(_u5740) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5740), _u5742), _u5743))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5740), c_Groups_Ozero__class_Ozero(_u5740)), _u5743)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5740), _u5743), c_Groups_Ozero__class_Ozero(_u5740))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), c_Groups_Ozero__class_Ozero(_u5740))) )).
% 12.54/12.77 cnf(matrix-3290, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5740) | ~class_Int_Onumber(_u5740) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5740), _u5742), _u5743))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5740), c_Groups_Ozero__class_Ozero(_u5740)), _u5743)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), _u5742), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), _u5743))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5740), _u5743), c_Groups_Ozero__class_Ozero(_u5740))) )).
% 12.54/12.77 cnf(matrix-3291, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5740) | ~class_Int_Onumber(_u5740) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5740), _u5742), _u5743))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5740), c_Groups_Ozero__class_Ozero(_u5740)), _u5743)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), _u5742), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), _u5743))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), c_Groups_Ozero__class_Ozero(_u5740))) )).
% 12.54/12.77 cnf(matrix-3292, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5740) | ~class_Int_Onumber(_u5740) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5740), _u5742), _u5743))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), _u5743)), _u5742)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5740), c_Groups_Ozero__class_Ozero(_u5740)), _u5743)) )).
% 12.54/12.77 cnf(matrix-3293, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5740) | ~class_Int_Onumber(_u5740) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5740), _u5742), _u5743))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), _u5743)), _u5742)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5740), _u5743), c_Groups_Ozero__class_Ozero(_u5740))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), c_Groups_Ozero__class_Ozero(_u5740))) )).
% 12.54/12.77 cnf(matrix-3294, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5740) | ~class_Int_Onumber(_u5740) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5740), _u5742), _u5743))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), _u5743)), _u5742)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), _u5742), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), _u5743))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5740), _u5743), c_Groups_Ozero__class_Ozero(_u5740))) )).
% 12.54/12.77 cnf(matrix-3295, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5740) | ~class_Int_Onumber(_u5740) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5740), _u5742), _u5743))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), _u5743)), _u5742)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), _u5742), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), _u5743))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5740), hAPP(c_Int_Onumber__class_Onumber__of(_u5740), _u5741)), c_Groups_Ozero__class_Ozero(_u5740))) )).
% 12.54/12.77 cnf(matrix-3296, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5744) | ~class_Int_Onumber(_u5744) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5745), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5744), _u5746), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5744), c_Groups_Ozero__class_Ozero(_u5744)), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5744), _u5745), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747))), _u5746)) )).
% 12.54/12.77 cnf(matrix-3297, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5744) | ~class_Int_Onumber(_u5744) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5745), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5744), _u5746), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5744), c_Groups_Ozero__class_Ozero(_u5744)), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5744), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)), c_Groups_Ozero__class_Ozero(_u5744))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5746), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5744), _u5745), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)))) )).
% 12.54/12.77 cnf(matrix-3298, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5744) | ~class_Int_Onumber(_u5744) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5745), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5744), _u5746), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5744), c_Groups_Ozero__class_Ozero(_u5744)), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5744), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)), c_Groups_Ozero__class_Ozero(_u5744))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5745), c_Groups_Ozero__class_Ozero(_u5744))) )).
% 12.54/12.77 cnf(matrix-3299, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5744) | ~class_Int_Onumber(_u5744) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5745), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5744), _u5746), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5744), c_Groups_Ozero__class_Ozero(_u5744)), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5744), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)), c_Groups_Ozero__class_Ozero(_u5744))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5745), c_Groups_Ozero__class_Ozero(_u5744))) )).
% 12.54/12.77 cnf(matrix-3300, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5744) | ~class_Int_Onumber(_u5744) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5745), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5744), _u5746), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5744), c_Groups_Ozero__class_Ozero(_u5744)), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5746), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5744), _u5745), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5744), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)), c_Groups_Ozero__class_Ozero(_u5744))) )).
% 12.54/12.77 cnf(matrix-3301, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5744) | ~class_Int_Onumber(_u5744) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5745), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5744), _u5746), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5744), c_Groups_Ozero__class_Ozero(_u5744)), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5746), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5744), _u5745), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5745), c_Groups_Ozero__class_Ozero(_u5744))) )).
% 12.54/12.77 cnf(matrix-3302, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5744) | ~class_Int_Onumber(_u5744) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5745), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5744), _u5746), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5744), _u5745), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747))), _u5746)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5744), c_Groups_Ozero__class_Ozero(_u5744)), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747))) )).
% 12.54/12.77 cnf(matrix-3303, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5744) | ~class_Int_Onumber(_u5744) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5745), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5744), _u5746), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5744), _u5745), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747))), _u5746)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5744), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)), c_Groups_Ozero__class_Ozero(_u5744))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5745), c_Groups_Ozero__class_Ozero(_u5744))) )).
% 12.54/12.77 cnf(matrix-3304, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5744) | ~class_Int_Onumber(_u5744) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5745), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5744), _u5746), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5744), _u5745), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747))), _u5746)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5746), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5744), _u5745), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5744), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)), c_Groups_Ozero__class_Ozero(_u5744))) )).
% 12.54/12.77 cnf(matrix-3305, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5744) | ~class_Int_Onumber(_u5744) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5745), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5744), _u5746), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5744), _u5745), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747))), _u5746)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5746), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5744), _u5745), hAPP(c_Int_Onumber__class_Onumber__of(_u5744), _u5747)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5744), _u5745), c_Groups_Ozero__class_Ozero(_u5744))) )).
% 12.54/12.77 cnf(matrix-3306, plain, ( ~class_Rings_Olinordered__semidom(_u5748) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5748), _u5749), _u5750)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5748), c_Groups_Ozero__class_Ozero(_u5748)), _u5749)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5751)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5748), hAPP(hAPP(c_Power_Opower__class_Opower(_u5748), _u5749), _u5751)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5748), _u5750), _u5751))) )).
% 12.54/12.77 cnf(matrix-3307, plain, ( ~class_Fields_Ofield(_u5752) | ( _u5753 = c_Groups_Ozero__class_Ozero(_u5752)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5754), _u5755)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5752), _u5753), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5755), _u5754)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5752), hAPP(hAPP(c_Power_Opower__class_Opower(_u5752), _u5753), _u5755)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5752), _u5753), _u5754))) )).
% 12.54/12.77 cnf(matrix-3308, plain, ( ~class_Rings_Olinordered__semidom(_u5756) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5756), c_Groups_Oone__class_Oone(_u5756)), _u5757)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5758)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5756), c_Groups_Oone__class_Oone(_u5756)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5756), _u5757), _u5758))) )).
% 12.54/12.77 cnf(matrix-3309, plain, ( ~class_Rings_Olinordered__semidom(_u5759) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5759), c_Groups_Oone__class_Oone(_u5759)), _u5760)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5759), hAPP(hAPP(c_Power_Opower__class_Opower(_u5759), _u5760), _u5761)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5759), _u5760), _u5762))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5761), _u5762)) )).
% 12.54/12.77 cnf(matrix-3310, plain, ( ~class_Rings_Olinordered__semidom(_u5763) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5763), c_Groups_Oone__class_Oone(_u5763)), _u5764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5763), hAPP(hAPP(c_Power_Opower__class_Opower(_u5763), _u5764), _u5765)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5763), _u5764), _u5766))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5765), _u5766)) )).
% 12.54/12.77 cnf(matrix-3311, plain, ( ~class_Rings_Olinordered__semidom(_u5763) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5763), c_Groups_Oone__class_Oone(_u5763)), _u5764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5765), _u5766)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5763), hAPP(hAPP(c_Power_Opower__class_Opower(_u5763), _u5764), _u5765)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5763), _u5764), _u5766))) )).
% 12.54/12.77 cnf(matrix-3312, plain, ( ~class_Rings_Olinordered__semidom(_u5767) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5768), _u5769)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5767), c_Groups_Ozero__class_Ozero(_u5767)), _u5770)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5767), _u5770), c_Groups_Oone__class_Oone(_u5767))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5767), hAPP(hAPP(c_Power_Opower__class_Opower(_u5767), _u5770), _u5769)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5767), _u5770), _u5768))) )).
% 12.54/12.77 cnf(matrix-3313, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5771)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5772)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5771), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5772)))) )).
% 12.54/12.77 cnf(matrix-3314, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5773)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5774)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5773), _u5774))) )).
% 12.54/12.77 cnf(matrix-3315, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5777)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5779))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5777), _u5779)) )).
% 12.54/12.77 cnf(matrix-3316, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5778), _u5780)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5778)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5780))) )).
% 12.54/12.77 cnf(matrix-3317, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5781)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5782)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5781), _u5782))) )).
% 12.54/12.77 cnf(matrix-3318, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5783)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5783))) )).
% 12.54/12.77 cnf(matrix-3319, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5786)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5788))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5786), _u5788)) )).
% 12.54/12.77 cnf(matrix-3320, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5787), _u5789)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5787)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5789))) )).
% 12.54/12.77 cnf(matrix-3321, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u5790), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5791), c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u5790, _u5791)) )).
% 12.54/12.77 cnf(matrix-3322, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5792), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5793) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u5792, _u5793)) )).
% 12.54/12.77 cnf(matrix-3323, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5794), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u5795) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u5794, _u5795)) )).
% 12.54/12.77 cnf(matrix-3324, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u5796) = _u5796) )).
% 12.54/12.77 cnf(matrix-3325, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5797), c_Groups_Oone__class_Oone(tc_Int_Oint)) = _u5797) )).
% 12.54/12.77 cnf(matrix-3326, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5800), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5802), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5800), _u5802)) )).
% 12.54/12.77 cnf(matrix-3327, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5801), _u5803)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5801), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5803), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.54/12.77 cnf(matrix-3328, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5806), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5808)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5806), _u5808)) )).
% 12.54/12.77 cnf(matrix-3329, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5807), _u5809)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5807), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5809)) )).
% 12.54/12.77 cnf(matrix-3330, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5810), _u5811)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5810), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5811)) )).
% 12.54/12.77 cnf(matrix-3331, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5814), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5816), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5814), _u5816)) | ( _u5814 = _u5816) )).
% 12.54/12.77 cnf(matrix-3332, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5815), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5817), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5815), _u5817)) )).
% 12.54/12.77 cnf(matrix-3333, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5815), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5817), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ( _u5815 != _u5817) )).
% 12.54/12.77 cnf(matrix-3334, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5818), _u5819)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5820), _u5818)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5820), _u5819))) )).
% 12.54/12.77 cnf(matrix-3335, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5821), _u5822)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5823), _u5824)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5821), _u5823)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5822), _u5824))) )).
% 12.54/12.77 cnf(matrix-3336, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5827), _u5829)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5827), _u5829)) )).
% 12.54/12.77 cnf(matrix-3337, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5827), _u5829)) | ( _u5827 != _u5829) )).
% 12.54/12.77 cnf(matrix-3338, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5828), _u5830)) | ( _u5828 = _u5830) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5828), _u5830)) )).
% 12.54/12.77 cnf(matrix-3339, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5831), _u5831)) )).
% 12.54/12.77 cnf(matrix-3340, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5832), _u5833)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5833), _u5832)) )).
% 12.54/12.77 cnf(matrix-3341, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5834), _u5835)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5835), _u5836)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5834), _u5836)) )).
% 12.54/12.77 cnf(matrix-3342, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5837), _u5838)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5838), _u5837)) | ( _u5837 = _u5838) )).
% 12.54/12.77 cnf(matrix-3343, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5839)) = _u5839) )).
% 12.54/12.77 cnf(matrix-3344, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5840)), _u5841) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5840), _u5841))) )).
% 12.54/12.77 cnf(matrix-3345, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5842), _u5843) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5843), _u5842)) )).
% 12.54/12.77 cnf(matrix-3346, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5844), _u5845)), _u5846) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5844), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5845), _u5846))) )).
% 12.54/12.77 cnf(matrix-3347, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5847), _u5848)) | ( _u5847 = _u5848) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5848), _u5847)) )).
% 12.54/12.77 cnf(matrix-3348, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5849), _u5850)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5849), _u5851)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5850), _u5851))) )).
% 12.54/12.77 cnf(matrix-3349, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5852), _u5853) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5853), _u5852)) )).
% 12.54/12.77 cnf(matrix-3350, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5854), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5855), _u5856)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5855), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5854), _u5856))) )).
% 12.54/12.77 cnf(matrix-3351, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5857), _u5858)), _u5859) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5857), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5858), _u5859))) )).
% 12.54/12.77 cnf(matrix-3352, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5860), _u5861)), _u5862) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5860), _u5862)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5861), _u5862))) )).
% 12.54/12.77 cnf(matrix-3353, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5863), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5864), _u5865)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5863), _u5864)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5863), _u5865))) )).
% 12.54/12.77 cnf(matrix-3354, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5866), _u5867)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5866)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5867))) )).
% 12.54/12.77 cnf(matrix-3355, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5868), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5869)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5868), _u5869)) )).
% 12.54/12.77 cnf(matrix-3356, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5870), _u5871) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5870), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5871))) )).
% 12.54/12.77 cnf(matrix-3357, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5872), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5873), _u5874)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5872), _u5873)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5872), _u5874))) )).
% 12.54/12.77 cnf(matrix-3358, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5875), _u5876)), _u5877) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5875), _u5877)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5876), _u5877))) )).
% 12.54/12.77 cnf(matrix-3359, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u5880), _u5882)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5880), _u5882) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.77 cnf(matrix-3360, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5881), _u5883) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u5881), _u5883)) )).
% 12.54/12.77 cnf(matrix-3361, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.77 cnf(matrix-3362, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5884), _u5885)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5886)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5886), _u5884)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5886), _u5885))) )).
% 12.54/12.77 cnf(matrix-3363, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5889), _u5891)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5889), _u5891)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3364, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5890), _u5892)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5890), _u5892)) )).
% 12.54/12.77 cnf(matrix-3365, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5893) = _u5893) )).
% 12.54/12.77 cnf(matrix-3366, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5894), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u5894) )).
% 12.54/12.77 cnf(matrix-3367, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5895)), _u5895) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.77 cnf(matrix-3368, 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)), _u5896)), _u5896) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.77 cnf(matrix-3369, 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)), _u5898)), _u5898)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5898), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3370, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5899), 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)), _u5899)), _u5899)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3371, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5900)) | 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)), _u5900))) )).
% 12.54/12.77 cnf(matrix-3372, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u5902)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5902)) )).
% 12.54/12.77 cnf(matrix-3373, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5903)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u5903)) )).
% 12.54/12.77 cnf(matrix-3374, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5906), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5908), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5906), _u5908)) )).
% 12.54/12.77 cnf(matrix-3375, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5907), _u5909)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5907), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5909), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.54/12.77 cnf(matrix-3376, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3377, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5910)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5910), _u5911) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u5910 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.54/12.77 cnf(matrix-3378, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5910)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5910), _u5911) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u5911 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.54/12.77 cnf(matrix-3379, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5910)) | ( _u5910 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u5911 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5910), _u5911) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.54/12.77 cnf(matrix-3380, plain, ( ( _u5913 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u5913) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.77 cnf(matrix-3381, plain, ( ( _u5914 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5914)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u5914) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.54/12.77 cnf(matrix-3382, plain, ( ( _u5914 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5914)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u5914) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3383, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5915), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5916), _u5917)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5915), _u5916)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5915), _u5917))) )).
% 12.54/12.77 cnf(matrix-3384, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5918), _u5919)), _u5920) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u5918), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5919), _u5920))) )).
% 12.54/12.77 cnf(matrix-3385, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u5921) | ( _u5922 = c_Groups_Ozero__class_Ozero(_u5921)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5921), _u5922), _u5923) != c_Groups_Ozero__class_Ozero(_u5921)) )).
% 12.54/12.77 cnf(matrix-3386, plain, ( ~class_Groups_Ocomm__monoid__mult(_u5924) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5924), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5924), _u5925), _u5926)), _u5927) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5924), hAPP(hAPP(c_Power_Opower__class_Opower(_u5924), _u5925), _u5927)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5924), _u5926), _u5927))) )).
% 12.54/12.77 cnf(matrix-3387, plain, ( ~class_Groups_Omonoid__mult(_u5928) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5928), hAPP(hAPP(c_Power_Opower__class_Opower(_u5928), _u5929), _u5930)), _u5929) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5928), _u5929), hAPP(hAPP(c_Power_Opower__class_Opower(_u5928), _u5929), _u5930))) )).
% 12.54/12.77 cnf(matrix-3388, plain, ( ~class_Groups_Omonoid__mult(_u5931) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5931), c_Groups_Oone__class_Oone(_u5931)), _u5932) = c_Groups_Oone__class_Oone(_u5931)) )).
% 12.54/12.77 cnf(matrix-3389, plain, ( ~class_Groups_Omonoid__mult(_u5933) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5933), _u5934), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5935), _u5936)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5933), hAPP(hAPP(c_Power_Opower__class_Opower(_u5933), _u5934), _u5935)), _u5936)) )).
% 12.54/12.77 cnf(matrix-3390, plain, ( ~class_Fields_Ofield__inverse__zero(_u5937) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5937), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5937), _u5938), _u5939)), _u5940) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5937), hAPP(hAPP(c_Power_Opower__class_Opower(_u5937), _u5938), _u5940)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5937), _u5939), _u5940))) )).
% 12.54/12.77 cnf(matrix-3391, plain, ( ~class_Groups_Omonoid__mult(_u5941) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5941), _u5942), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u5942) )).
% 12.54/12.77 cnf(matrix-3392, plain, ( ~class_Rings_Olinordered__semidom(_u5943) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5943), c_Groups_Ozero__class_Ozero(_u5943)), _u5944)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5943), c_Groups_Ozero__class_Ozero(_u5943)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5943), _u5944), _u5945))) )).
% 12.54/12.77 cnf(matrix-3393, plain, ( ~class_Rings_Olinordered__semidom(_u5946) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5946), _u5947), _u5948)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5946), c_Groups_Ozero__class_Ozero(_u5946)), _u5947)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5946), hAPP(hAPP(c_Power_Opower__class_Opower(_u5946), _u5947), _u5949)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5946), _u5948), _u5949))) )).
% 12.54/12.77 cnf(matrix-3394, plain, ( ~class_Rings_Olinordered__semidom(_u5950) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5950), c_Groups_Ozero__class_Ozero(_u5950)), _u5951)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5950), c_Groups_Ozero__class_Ozero(_u5950)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5950), _u5951), _u5952))) )).
% 12.54/12.77 cnf(matrix-3395, plain, ( ~class_Power_Opower(_u5953) | ~class_Rings_Omult__zero(_u5953) | ~class_Rings_Ono__zero__divisors(_u5953) | ~class_Rings_Ozero__neq__one(_u5953) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5953), _u5954), _u5955) != c_Groups_Ozero__class_Ozero(_u5953)) | ( _u5954 = c_Groups_Ozero__class_Ozero(_u5953)) )).
% 12.54/12.77 cnf(matrix-3396, plain, ( ~class_Power_Opower(_u5953) | ~class_Rings_Omult__zero(_u5953) | ~class_Rings_Ono__zero__divisors(_u5953) | ~class_Rings_Ozero__neq__one(_u5953) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5953), _u5954), _u5955) != c_Groups_Ozero__class_Ozero(_u5953)) | ( _u5955 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-3397, plain, ( ~class_Power_Opower(_u5953) | ~class_Rings_Omult__zero(_u5953) | ~class_Rings_Ono__zero__divisors(_u5953) | ~class_Rings_Ozero__neq__one(_u5953) | ( _u5954 != c_Groups_Ozero__class_Ozero(_u5953)) | ( _u5955 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5953), _u5954), _u5955) = c_Groups_Ozero__class_Ozero(_u5953)) )).
% 12.54/12.77 cnf(matrix-3398, plain, ( ~class_Rings_Olinordered__semidom(_u5956) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5956), c_Groups_Oone__class_Oone(_u5956)), _u5957)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5956), c_Groups_Oone__class_Oone(_u5956)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5956), _u5957), _u5958))) )).
% 12.54/12.77 cnf(matrix-3399, plain, ( ~class_Power_Opower(_u5959) | ~class_Rings_Osemiring__0(_u5959) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5959), c_Groups_Ozero__class_Ozero(_u5959)), hAPP(c_Nat_OSuc, _u5960)) = c_Groups_Ozero__class_Ozero(_u5959)) )).
% 12.54/12.77 cnf(matrix-3400, plain, ( ~class_Rings_Olinordered__semidom(_u5961) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5961), c_Groups_Oone__class_Oone(_u5961)), _u5962)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5961), _u5962), _u5963) != hAPP(hAPP(c_Power_Opower__class_Opower(_u5961), _u5962), _u5964)) | ( _u5963 = _u5964) )).
% 12.54/12.77 cnf(matrix-3401, plain, ( ~class_Rings_Olinordered__semidom(_u5961) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5961), c_Groups_Oone__class_Oone(_u5961)), _u5962)) | ( _u5963 != _u5964) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5961), _u5962), _u5963) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5961), _u5962), _u5964)) )).
% 12.54/12.77 cnf(matrix-3402, plain, ( ~class_Groups_Omonoid__mult(_u5965) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5965), _u5966), hAPP(c_Nat_OSuc, _u5967)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5965), hAPP(hAPP(c_Power_Opower__class_Opower(_u5965), _u5966), _u5967)), _u5966)) )).
% 12.54/12.77 cnf(matrix-3403, plain, ( ~class_Power_Opower(_u5968) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5968), _u5969), hAPP(c_Nat_OSuc, _u5970)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5968), _u5969), hAPP(hAPP(c_Power_Opower__class_Opower(_u5968), _u5969), _u5970))) )).
% 12.54/12.77 cnf(matrix-3404, plain, ( ~class_Power_Opower(_u5971) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5971), _u5972), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u5971)) )).
% 12.54/12.77 cnf(matrix-3405, plain, ( ~class_Groups_Omonoid__mult(_u5973) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5973), _u5974), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5975), _u5976)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5973), hAPP(hAPP(c_Power_Opower__class_Opower(_u5973), _u5974), _u5975)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5973), _u5974), _u5976))) )).
% 12.54/12.77 cnf(matrix-3406, plain, ( ~class_Fields_Ofield(_u5977) | ( _u5978 = c_Groups_Ozero__class_Ozero(_u5977)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u5977), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5977), _u5979), _u5978)), _u5980) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5977), hAPP(hAPP(c_Power_Opower__class_Opower(_u5977), _u5979), _u5980)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5977), _u5978), _u5980))) )).
% 12.54/12.77 cnf(matrix-3407, plain, ( ~class_Fields_Ofield__inverse__zero(_u5981) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5981), c_Groups_Oone__class_Oone(_u5981)), hAPP(hAPP(c_Power_Opower__class_Opower(_u5981), _u5982), _u5983)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u5981), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5981), c_Groups_Oone__class_Oone(_u5981)), _u5982)), _u5983)) )).
% 12.54/12.77 cnf(matrix-3408, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u5984) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.77 cnf(matrix-3409, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u5987), _u5989) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u5989 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u5987 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.77 cnf(matrix-3410, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u5988), _u5990) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u5990 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-3411, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u5988), _u5990) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u5988 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.77 cnf(matrix-3412, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5991)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u5991), _u5992)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u5991), _u5993))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5992), _u5993)) )).
% 12.54/12.77 cnf(matrix-3413, 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), _u5996), _u5998))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5996)) | ( _u5998 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-3414, 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), _u5997), _u5999))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5997)) )).
% 12.54/12.77 cnf(matrix-3415, 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), _u5997), _u5999))) | ( _u5999 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-3416, plain, ( ~class_Rings_Olinordered__semidom(_u6000) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6000), hAPP(hAPP(c_Power_Opower__class_Opower(_u6000), _u6001), _u6002)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6000), _u6003), _u6002))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6000), c_Groups_Ozero__class_Ozero(_u6000)), _u6003)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6000), _u6001), _u6003)) )).
% 12.54/12.77 cnf(matrix-3417, plain, ( ~class_Rings_Olinordered__semidom(_u6004) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6004), hAPP(hAPP(c_Power_Opower__class_Opower(_u6004), _u6005), hAPP(c_Nat_OSuc, _u6006))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6004), _u6007), hAPP(c_Nat_OSuc, _u6006)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6004), c_Groups_Ozero__class_Ozero(_u6004)), _u6007)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6004), _u6005), _u6007)) )).
% 12.54/12.77 cnf(matrix-3418, plain, ( ~class_Rings_Olinordered__semidom(_u6008) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6008), _u6009), hAPP(c_Nat_OSuc, _u6010)) != hAPP(hAPP(c_Power_Opower__class_Opower(_u6008), _u6011), hAPP(c_Nat_OSuc, _u6010))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6008), c_Groups_Ozero__class_Ozero(_u6008)), _u6009)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6008), c_Groups_Ozero__class_Ozero(_u6008)), _u6011)) | ( _u6009 = _u6011) )).
% 12.54/12.77 cnf(matrix-3419, plain, ( ~class_Rings_Olinordered__semidom(_u6012) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6012), c_Groups_Oone__class_Oone(_u6012)), _u6013)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6012), hAPP(hAPP(c_Power_Opower__class_Opower(_u6012), _u6013), _u6014)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6012), _u6013), hAPP(hAPP(c_Power_Opower__class_Opower(_u6012), _u6013), _u6014)))) )).
% 12.54/12.77 cnf(matrix-3420, plain, ( ~class_Rings_Olinordered__semidom(_u6015) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6015), c_Groups_Oone__class_Oone(_u6015)), _u6016)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6015), c_Groups_Oone__class_Oone(_u6015)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6015), _u6016), hAPP(hAPP(c_Power_Opower__class_Opower(_u6015), _u6016), _u6017)))) )).
% 12.54/12.77 cnf(matrix-3421, plain, ( ~class_Power_Opower(_u6018) | ~class_Rings_Osemiring__0(_u6018) | ( _u6019 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6018), c_Groups_Ozero__class_Ozero(_u6018)), _u6019) = c_Groups_Oone__class_Oone(_u6018)) )).
% 12.54/12.77 cnf(matrix-3422, plain, ( ~class_Power_Opower(_u6018) | ~class_Rings_Osemiring__0(_u6018) | ( _u6019 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6018), c_Groups_Ozero__class_Ozero(_u6018)), _u6019) = c_Groups_Ozero__class_Ozero(_u6018)) )).
% 12.54/12.77 cnf(matrix-3423, plain, ( ~class_Rings_Olinordered__semidom(_u6020) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6020), c_Groups_Oone__class_Oone(_u6020)), _u6021)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6020), c_Groups_Oone__class_Oone(_u6020)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6020), _u6021), hAPP(c_Nat_OSuc, _u6022)))) )).
% 12.54/12.77 cnf(matrix-3424, plain, ( ~class_Rings_Olinordered__semidom(_u6023) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6023), c_Groups_Oone__class_Oone(_u6023)), _u6024)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6023), hAPP(hAPP(c_Power_Opower__class_Opower(_u6023), _u6024), _u6025)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6023), _u6024), _u6026))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6025), _u6026)) )).
% 12.54/12.77 cnf(matrix-3425, plain, ( ~class_Rings_Olinordered__semidom(_u6023) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6023), c_Groups_Oone__class_Oone(_u6023)), _u6024)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6025), _u6026)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6023), hAPP(hAPP(c_Power_Opower__class_Opower(_u6023), _u6024), _u6025)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6023), _u6024), _u6026))) )).
% 12.54/12.77 cnf(matrix-3426, plain, ( ~class_Rings_Olinordered__semidom(_u6027) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6027), c_Groups_Oone__class_Oone(_u6027)), _u6028)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6027), hAPP(hAPP(c_Power_Opower__class_Opower(_u6027), _u6028), _u6029)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6027), _u6028), _u6030))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6029), _u6030)) )).
% 12.54/12.77 cnf(matrix-3427, plain, ( ~class_Rings_Olinordered__semidom(_u6031) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6032), _u6033)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6031), c_Groups_Oone__class_Oone(_u6031)), _u6034)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6031), hAPP(hAPP(c_Power_Opower__class_Opower(_u6031), _u6034), _u6032)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6031), _u6034), _u6033))) )).
% 12.54/12.77 cnf(matrix-3428, plain, ( ~class_Rings_Olinordered__semidom(_u6035) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6036), _u6037)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6035), c_Groups_Oone__class_Oone(_u6035)), _u6038)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6035), hAPP(hAPP(c_Power_Opower__class_Opower(_u6035), _u6038), _u6036)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6035), _u6038), _u6037))) )).
% 12.54/12.77 cnf(matrix-3429, plain, ( ~class_Rings_Oring__1(_u6039) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6039), hAPP(c_Groups_Ouminus__class_Ouminus(_u6039), _u6040)), _u6041) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6039), hAPP(hAPP(c_Power_Opower__class_Opower(_u6039), hAPP(c_Groups_Ouminus__class_Ouminus(_u6039), c_Groups_Oone__class_Oone(_u6039))), _u6041)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6039), _u6040), _u6041))) )).
% 12.54/12.77 cnf(matrix-3430, 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))), _u6042)) | 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), _u6042), _u6043))) )).
% 12.54/12.77 cnf(matrix-3431, plain, ( ~class_Rings_Olinordered__semidom(_u6044) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6044), c_Groups_Ozero__class_Ozero(_u6044)), _u6045)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6044), _u6045), c_Groups_Oone__class_Oone(_u6044))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6044), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6044), _u6045), hAPP(hAPP(c_Power_Opower__class_Opower(_u6044), _u6045), _u6046))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6044), _u6045), _u6046))) )).
% 12.54/12.77 cnf(matrix-3432, plain, ( ~class_Rings_Olinordered__semidom(_u6047) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6047), _u6048), _u6049) != hAPP(hAPP(c_Power_Opower__class_Opower(_u6047), _u6050), _u6049)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6047), c_Groups_Ozero__class_Ozero(_u6047)), _u6048)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6047), c_Groups_Ozero__class_Ozero(_u6047)), _u6050)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6049)) | ( _u6048 = _u6050) )).
% 12.54/12.77 cnf(matrix-3433, plain, ( ~class_Rings_Olinordered__semidom(_u6051) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6051), c_Groups_Ozero__class_Ozero(_u6051)), _u6052)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6051), _u6052), c_Groups_Oone__class_Oone(_u6051))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6051), hAPP(hAPP(c_Power_Opower__class_Opower(_u6051), _u6052), hAPP(c_Nat_OSuc, _u6053))), c_Groups_Oone__class_Oone(_u6051))) )).
% 12.54/12.77 cnf(matrix-3434, plain, ( ~class_Rings_Olinordered__semidom(_u6054) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6055), _u6056)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6054), c_Groups_Ozero__class_Ozero(_u6054)), _u6057)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6054), _u6057), c_Groups_Oone__class_Oone(_u6054))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6054), hAPP(hAPP(c_Power_Opower__class_Opower(_u6054), _u6057), _u6056)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6054), _u6057), _u6055))) )).
% 12.54/12.77 cnf(matrix-3435, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6058)) | ( _u6058 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6059), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6058), _u6060))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6059), _u6058)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u6060)) )).
% 12.54/12.77 cnf(matrix-3436, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6061)) | ( _u6061 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6062), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6061), _u6063))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6062)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6063), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3437, 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), _u6064), _u6065)), _u6066))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6066), _u6064)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6064)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6065)) )).
% 12.54/12.77 cnf(matrix-3438, 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), _u6067), _u6068)), _u6069)), 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)), _u6069)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6067)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6068), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3439, 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), _u6070), _u6071)), _u6072)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6070), _u6073)), _u6074))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6072), _u6070)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6074), _u6070)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6071), _u6073)) )).
% 12.54/12.77 cnf(matrix-3440, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6075), _u6076)), _u6077) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), _u6079)), _u6080)) | ~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), _u6078), _u6079)), _u6080))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6080), _u6078)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6077)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6078)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6078), _u6075)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6076), _u6079)) )).
% 12.54/12.77 cnf(matrix-3441, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u6081, _u6082))) )).
% 12.54/12.77 cnf(matrix-3442, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u6083), _u6084))) )).
% 12.54/12.77 cnf(matrix-3443, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u6085, _u6086))) )).
% 12.54/12.77 cnf(matrix-3444, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u6087, _u6088))) )).
% 12.54/12.77 cnf(matrix-3445, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6089) = _u6089) )).
% 12.54/12.77 cnf(matrix-3446, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6092)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6094))) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u6092), _u6094)) )).
% 12.54/12.77 cnf(matrix-3447, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u6093), _u6095)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6093)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6095))) )).
% 12.54/12.77 cnf(matrix-3448, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.54/12.77 cnf(matrix-3449, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u6096), _u6096)) )).
% 12.54/12.77 cnf(matrix-3450, 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)), _u6097))) )).
% 12.54/12.77 cnf(matrix-3451, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6098), _u6099)), _u6100) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6101), _u6102)), _u6103)) | ~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), _u6101), _u6102)), _u6103)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6100), _u6098)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6103)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6101)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6101), _u6098)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6102), _u6099)) )).
% 12.54/12.77 cnf(matrix-3452, 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), _u6104), _u6105)), _u6106)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6104), _u6107)), _u6108))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6108), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6104), _u6108)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6104), _u6106)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6107), _u6105)) )).
% 12.54/12.77 cnf(matrix-3453, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6111), _u6113)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u6113, _u6111) = c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 12.54/12.77 cnf(matrix-3454, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6112), _u6114)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u6114, _u6112) = hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint), _u6114), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6114), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u6112))) )).
% 12.54/12.77 cnf(matrix-3455, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6115)) | 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), _u6115), _u6116))) )).
% 12.54/12.77 cnf(matrix-3456, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6117)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6118)) | 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), _u6117), _u6118))) )).
% 12.54/12.77 cnf(matrix-3457, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3458, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6119)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6120)) | 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), _u6119), _u6120))) )).
% 12.54/12.77 cnf(matrix-3459, plain, ( ~class_Power_Opower(_u6121) | ( c_Power_Opower__class_Opower(_u6121) = c_Power_Opower_Opower(_u6121, c_Groups_Oone__class_Oone(_u6121), c_Groups_Otimes__class_Otimes(_u6121))) )).
% 12.54/12.77 cnf(matrix-3460, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint, tc_HOL_Obool)))) )).
% 12.54/12.77 cnf(matrix-3461, plain, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u6122, _u6123, _u6124), _u6125), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u6123) )).
% 12.54/12.77 cnf(matrix-3462, plain, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u6126, _u6127, _u6128), _u6129), hAPP(c_Nat_OSuc, _u6130)) = hAPP(hAPP(_u6128, _u6129), hAPP(hAPP(c_Power_Opower_Opower(_u6126, _u6127, _u6128), _u6129), _u6130))) )).
% 12.54/12.77 cnf(matrix-3463, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3464, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6134)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6135), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u6136)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6133), _u6135)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6133), _u6134)), _u6135)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem142(_u6136, _u6135, _u6134, _u6133)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6134))) )).
% 12.54/12.77 cnf(matrix-3465, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6134)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6135), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u6136)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6133), _u6135)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6133), _u6134)), _u6135)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem143(_u6136, _u6135, _u6134, _u6133)), _u6136)) )).
% 12.54/12.77 cnf(matrix-3466, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6134)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6135), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u6136)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6133), _u6135)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6133), _u6134)), _u6135)) | ( _u6133 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem143(_u6136, _u6135, _u6134, _u6133)), skolem142(_u6136, _u6135, _u6134, _u6133))) )).
% 12.54/12.77 cnf(matrix-3467, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6140)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6141), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u6142)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6141), _u6139)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6141), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6139), _u6140))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem144(_u6142, _u6141, _u6140, _u6139)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6140))) )).
% 12.54/12.77 cnf(matrix-3468, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6140)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6141), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u6142)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6141), _u6139)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6141), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6139), _u6140))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem145(_u6142, _u6141, _u6140, _u6139)), _u6142)) )).
% 12.54/12.77 cnf(matrix-3469, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6140)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6141), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u6142)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6141), _u6139)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6141), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6139), _u6140))) | ( _u6139 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem145(_u6142, _u6141, _u6140, _u6139)), skolem144(_u6142, _u6141, _u6140, _u6139))) )).
% 12.54/12.77 cnf(matrix-3470, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6146)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6145), _u6148)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6145), _u6146)), _u6148)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem146(_u6148, _u6147, _u6146, _u6145)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6146))) )).
% 12.54/12.77 cnf(matrix-3471, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6146)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6145), _u6148)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6145), _u6146)), _u6148)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem147(_u6148, _u6147, _u6146, _u6145)), _u6147)) )).
% 12.54/12.77 cnf(matrix-3472, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6146)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6145), _u6148)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6145), _u6146)), _u6148)) | ( _u6145 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem147(_u6148, _u6147, _u6146, _u6145)), skolem146(_u6148, _u6147, _u6146, _u6145))) )).
% 12.54/12.77 cnf(matrix-3473, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6152)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6154), _u6151)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6154), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6151), _u6152))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem148(_u6154, _u6153, _u6152, _u6151)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6152))) )).
% 12.54/12.77 cnf(matrix-3474, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6152)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6154), _u6151)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6154), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6151), _u6152))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem149(_u6154, _u6153, _u6152, _u6151)), _u6153)) )).
% 12.54/12.77 cnf(matrix-3475, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6152)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6154), _u6151)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6154), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6151), _u6152))) | ( _u6151 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem149(_u6154, _u6153, _u6152, _u6151)), skolem148(_u6154, _u6153, _u6152, _u6151))) )).
% 12.54/12.77 cnf(matrix-3476, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6161)) | ~hBOOL(hAPP(_u6162, _u6157)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem154(_u6162, _u6161)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6161))) | hBOOL(hAPP(_u6162, skolem150(_u6162, _u6161))) | ~hBOOL(hAPP(_u6162, skolem152(_u6162, _u6161))) )).
% 12.54/12.77 cnf(matrix-3477, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6161)) | ~hBOOL(hAPP(_u6162, _u6157)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem154(_u6162, _u6161)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6161))) | hBOOL(hAPP(_u6162, skolem150(_u6162, _u6161))) | hBOOL(hAPP(_u6162, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem152(_u6162, _u6161)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem153(_u6162, _u6161)), _u6161)))) )).
% 12.54/12.77 cnf(matrix-3478, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6161)) | ~hBOOL(hAPP(_u6162, _u6157)) | hBOOL(hAPP(_u6162, skolem154(_u6162, _u6161))) | hBOOL(hAPP(_u6162, skolem150(_u6162, _u6161))) | ~hBOOL(hAPP(_u6162, skolem152(_u6162, _u6161))) )).
% 12.54/12.77 cnf(matrix-3479, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6161)) | ~hBOOL(hAPP(_u6162, _u6157)) | hBOOL(hAPP(_u6162, skolem154(_u6162, _u6161))) | hBOOL(hAPP(_u6162, skolem150(_u6162, _u6161))) | hBOOL(hAPP(_u6162, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem152(_u6162, _u6161)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem153(_u6162, _u6161)), _u6161)))) )).
% 12.54/12.77 cnf(matrix-3480, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6161)) | ~hBOOL(hAPP(_u6162, _u6157)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem154(_u6162, _u6161)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6161))) | ~hBOOL(hAPP(_u6162, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem150(_u6162, _u6161)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem151(_u6162, _u6161)), _u6161)))) | ~hBOOL(hAPP(_u6162, skolem152(_u6162, _u6161))) )).
% 12.54/12.77 cnf(matrix-3481, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6161)) | ~hBOOL(hAPP(_u6162, _u6157)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem154(_u6162, _u6161)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6161))) | ~hBOOL(hAPP(_u6162, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem150(_u6162, _u6161)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem151(_u6162, _u6161)), _u6161)))) | hBOOL(hAPP(_u6162, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem152(_u6162, _u6161)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem153(_u6162, _u6161)), _u6161)))) )).
% 12.54/12.77 cnf(matrix-3482, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6161)) | ~hBOOL(hAPP(_u6162, _u6157)) | hBOOL(hAPP(_u6162, skolem154(_u6162, _u6161))) | ~hBOOL(hAPP(_u6162, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem150(_u6162, _u6161)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem151(_u6162, _u6161)), _u6161)))) | ~hBOOL(hAPP(_u6162, skolem152(_u6162, _u6161))) )).
% 12.54/12.77 cnf(matrix-3483, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6161)) | ~hBOOL(hAPP(_u6162, _u6157)) | hBOOL(hAPP(_u6162, skolem154(_u6162, _u6161))) | ~hBOOL(hAPP(_u6162, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem150(_u6162, _u6161)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem151(_u6162, _u6161)), _u6161)))) | hBOOL(hAPP(_u6162, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem152(_u6162, _u6161)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem153(_u6162, _u6161)), _u6161)))) )).
% 12.54/12.77 cnf(matrix-3484, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6161)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u6159), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6161))) | ~hBOOL(hAPP(_u6162, _u6159)) | hBOOL(hAPP(_u6162, skolem155(_u6162, _u6161))) | hBOOL(hAPP(_u6162, skolem150(_u6162, _u6161))) | ~hBOOL(hAPP(_u6162, skolem152(_u6162, _u6161))) )).
% 12.54/12.77 cnf(matrix-3485, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6161)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u6159), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6161))) | ~hBOOL(hAPP(_u6162, _u6159)) | hBOOL(hAPP(_u6162, skolem155(_u6162, _u6161))) | hBOOL(hAPP(_u6162, skolem150(_u6162, _u6161))) | hBOOL(hAPP(_u6162, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem152(_u6162, _u6161)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem153(_u6162, _u6161)), _u6161)))) )).
% 12.54/12.77 cnf(matrix-3486, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6161)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u6159), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6161))) | ~hBOOL(hAPP(_u6162, _u6159)) | hBOOL(hAPP(_u6162, skolem155(_u6162, _u6161))) | ~hBOOL(hAPP(_u6162, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem150(_u6162, _u6161)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem151(_u6162, _u6161)), _u6161)))) | ~hBOOL(hAPP(_u6162, skolem152(_u6162, _u6161))) )).
% 12.54/12.77 cnf(matrix-3487, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6161)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u6159), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6161))) | ~hBOOL(hAPP(_u6162, _u6159)) | hBOOL(hAPP(_u6162, skolem155(_u6162, _u6161))) | ~hBOOL(hAPP(_u6162, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem150(_u6162, _u6161)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem151(_u6162, _u6161)), _u6161)))) | hBOOL(hAPP(_u6162, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem152(_u6162, _u6161)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem153(_u6162, _u6161)), _u6161)))) )).
% 12.54/12.77 cnf(matrix-3488, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6170)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u6171), _u6172)) | ( _u6169 = _u6171) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6169), _u6170) != _u6171) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem156(_u6172, _u6171, _u6170, _u6169)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6170))) )).
% 12.54/12.77 cnf(matrix-3489, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6170)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u6171), _u6172)) | ( _u6169 = _u6171) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6169), _u6170) != _u6171) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem157(_u6172, _u6171, _u6170, _u6169)), _u6172)) )).
% 12.54/12.77 cnf(matrix-3490, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6170)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u6171), _u6172)) | ( _u6169 = _u6171) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6169), _u6170) != _u6171) | ( _u6169 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem157(_u6172, _u6171, _u6170, _u6169)), skolem156(_u6172, _u6171, _u6170, _u6169))) )).
% 12.54/12.77 cnf(matrix-3491, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6175)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6176), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u6177)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6176), _u6175) = _u6176) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem158(_u6177, _u6176, _u6175)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6175))) )).
% 12.54/12.77 cnf(matrix-3492, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6175)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6176), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u6177)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6176), _u6175) = _u6176) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem159(_u6177, _u6176, _u6175)), _u6177)) )).
% 12.54/12.77 cnf(matrix-3493, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6175)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6176), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u6177)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6176), _u6175) = _u6176) | ( _u6176 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem159(_u6177, _u6176, _u6175)), skolem158(_u6177, _u6176, _u6175))) )).
% 12.54/12.77 cnf(matrix-3494, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6180)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6181), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u6182)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6181), _u6180) = _u6181) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem160(_u6182, _u6181, _u6180)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6180))) )).
% 12.54/12.77 cnf(matrix-3495, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6180)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6181), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u6182)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6181), _u6180) = _u6181) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem161(_u6182, _u6181, _u6180)), _u6182)) )).
% 12.54/12.77 cnf(matrix-3496, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6180)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6181), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u6182)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6181), _u6180) = _u6181) | ( _u6181 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem161(_u6182, _u6181, _u6180)), skolem160(_u6182, _u6181, _u6180))) )).
% 12.54/12.77 cnf(matrix-3497, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6186)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u6187), _u6188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6185), _u6187)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6185), _u6186)), _u6187)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem162(_u6188, _u6187, _u6186, _u6185)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6186))) )).
% 12.54/12.77 cnf(matrix-3498, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6186)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u6187), _u6188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6185), _u6187)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6185), _u6186)), _u6187)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem163(_u6188, _u6187, _u6186, _u6185)), _u6188)) )).
% 12.54/12.77 cnf(matrix-3499, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6186)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u6187), _u6188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6185), _u6187)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6185), _u6186)), _u6187)) | ( _u6185 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem163(_u6188, _u6187, _u6186, _u6185)), skolem162(_u6188, _u6187, _u6186, _u6185))) )).
% 12.54/12.77 cnf(matrix-3500, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6192)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u6193), _u6194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6193), _u6191)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6193), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6191), _u6192))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem164(_u6194, _u6193, _u6192, _u6191)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6192))) )).
% 12.54/12.77 cnf(matrix-3501, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6192)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u6193), _u6194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6193), _u6191)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6193), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6191), _u6192))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem165(_u6194, _u6193, _u6192, _u6191)), _u6194)) )).
% 12.54/12.77 cnf(matrix-3502, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6192)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u6193), _u6194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6193), _u6191)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6193), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6191), _u6192))) | ( _u6191 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem165(_u6194, _u6193, _u6192, _u6191)), skolem164(_u6194, _u6193, _u6192, _u6191))) )).
% 12.54/12.77 cnf(matrix-3503, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6198)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u6199), _u6200)) | ( _u6197 = _u6199) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6197), _u6198) != _u6199) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem166(_u6200, _u6199, _u6198, _u6197)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6198))) )).
% 12.54/12.77 cnf(matrix-3504, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6198)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u6199), _u6200)) | ( _u6197 = _u6199) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6197), _u6198) != _u6199) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem167(_u6200, _u6199, _u6198, _u6197)), _u6200)) )).
% 12.54/12.77 cnf(matrix-3505, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6198)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u6199), _u6200)) | ( _u6197 = _u6199) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6197), _u6198) != _u6199) | ( _u6197 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem167(_u6200, _u6199, _u6198, _u6197)), skolem166(_u6200, _u6199, _u6198, _u6197))) )).
% 12.54/12.77 cnf(matrix-3506, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6204)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6206), _u6203)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6206), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6203), _u6204))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem168(_u6206, _u6205, _u6204, _u6203)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6204))) )).
% 12.54/12.77 cnf(matrix-3507, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6204)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6206), _u6203)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6206), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6203), _u6204))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem169(_u6206, _u6205, _u6204, _u6203)), _u6205)) )).
% 12.54/12.77 cnf(matrix-3508, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6204)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6206), _u6203)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6206), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6203), _u6204))) | ( _u6203 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem169(_u6206, _u6205, _u6204, _u6203)), skolem168(_u6206, _u6205, _u6204, _u6203))) )).
% 12.54/12.77 cnf(matrix-3509, plain, ( ~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), _u6209), _u6212)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6209), _u6210)), _u6212)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem170(_u6212, _u6211, _u6210, _u6209)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u6210))) )).
% 12.54/12.77 cnf(matrix-3510, plain, ( ~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), _u6209), _u6212)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6209), _u6210)), _u6212)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem171(_u6212, _u6211, _u6210, _u6209)), _u6211)) )).
% 12.54/12.77 cnf(matrix-3511, plain, ( ~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), _u6209), _u6212)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6209), _u6210)), _u6212)) | ( _u6209 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem171(_u6212, _u6211, _u6210, _u6209)), skolem170(_u6212, _u6211, _u6210, _u6209))) )).
% 12.54/12.77 cnf(matrix-3512, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6215), _u6217)) | ( c_Nat__Transfer_Otsub(_u6217, _u6215) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6217), _u6215)) )).
% 12.54/12.77 cnf(matrix-3513, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6216), _u6218)) | ( c_Nat__Transfer_Otsub(_u6218, _u6216) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.77 cnf(matrix-3514, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6219)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6220)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6220), _u6219)), _u6220) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6220), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6219), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 12.54/12.77 cnf(matrix-3515, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6223)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6225)) | ~hBOOL(hAPP(_u6224, _u6222)) | hBOOL(hAPP(_u6224, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6222), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6225), _u6223)))) | hBOOL(hAPP(_u6224, skolem172(_u6225, _u6224, _u6223))) )).
% 12.54/12.77 cnf(matrix-3516, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6223)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6225)) | ~hBOOL(hAPP(_u6224, _u6222)) | hBOOL(hAPP(_u6224, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6222), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6225), _u6223)))) | ~hBOOL(hAPP(_u6224, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem172(_u6225, _u6224, _u6223)), _u6223))) )).
% 12.54/12.77 cnf(matrix-3517, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6228)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6230)) | ~hBOOL(hAPP(_u6229, _u6227)) | hBOOL(hAPP(_u6229, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6227), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6230), _u6228)))) | hBOOL(hAPP(_u6229, skolem173(_u6230, _u6229, _u6228))) )).
% 12.54/12.77 cnf(matrix-3518, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6228)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6230)) | ~hBOOL(hAPP(_u6229, _u6227)) | hBOOL(hAPP(_u6229, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6227), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6230), _u6228)))) | ~hBOOL(hAPP(_u6229, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem173(_u6230, _u6229, _u6228)), _u6228))) )).
% 12.54/12.77 cnf(matrix-3519, plain, ( ~class_Int_Onumber__ring(_u6231) | ~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), _u6232))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6231), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6232)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6231), _u6232)) )).
% 12.54/12.77 cnf(matrix-3520, plain, ( ~class_Int_Onumber__ring(_u6231) | 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), _u6232))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6231), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6232)) = c_Groups_Ozero__class_Ozero(_u6231)) )).
% 12.54/12.77 cnf(matrix-3521, 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), _u6233))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6234))) )).
% 12.54/12.77 cnf(matrix-3522, 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, _u6235)))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6236))) )).
% 12.54/12.77 cnf(matrix-3523, plain, ( ( c_Nat__Transfer_Otsub(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6237), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6238)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6237), _u6238))) )).
% 12.54/12.77 cnf(matrix-3524, plain, ( ~class_Nat_Osemiring__char__0(_u6239) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6239), _u6240) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6239), _u6241)) | ( _u6240 = _u6241) )).
% 12.54/12.77 cnf(matrix-3525, plain, ( ~class_Nat_Osemiring__char__0(_u6239) | ( _u6240 != _u6241) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6239), _u6240) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6239), _u6241)) )).
% 12.54/12.77 cnf(matrix-3526, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6242) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.77 cnf(matrix-3527, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6243)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6244)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6243), _u6244)) )).
% 12.54/12.77 cnf(matrix-3528, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6245), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6246)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6245)), _u6246)) )).
% 12.54/12.77 cnf(matrix-3529, plain, ( ~class_Divides_Osemiring__div(_u6247) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6247), c_Groups_Ozero__class_Ozero(_u6247)), _u6248) = c_Groups_Ozero__class_Ozero(_u6247)) )).
% 12.54/12.77 cnf(matrix-3530, plain, ( ~class_Divides_Osemiring__div(_u6249) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6249), _u6250), c_Groups_Ozero__class_Ozero(_u6249)) = c_Groups_Ozero__class_Ozero(_u6249)) )).
% 12.54/12.77 cnf(matrix-3531, plain, ( ~class_Divides_Osemiring__div(_u6251) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6251), _u6252), c_Groups_Oone__class_Oone(_u6251)) = _u6252) )).
% 12.54/12.77 cnf(matrix-3532, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u6253) = 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)), _u6253))) )).
% 12.54/12.77 cnf(matrix-3533, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u6256), _u6258)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6256)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6258))) )).
% 12.54/12.77 cnf(matrix-3534, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6257)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6259))) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u6257), _u6259)) )).
% 12.54/12.77 cnf(matrix-3535, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u6262), _u6264)) | 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)), _u6262)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6264))) )).
% 12.54/12.77 cnf(matrix-3536, 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)), _u6263)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6265))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u6263), _u6265)) )).
% 12.54/12.77 cnf(matrix-3537, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6266)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6267)) | 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), _u6266), _u6267))) )).
% 12.54/12.77 cnf(matrix-3538, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6268)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6269), _u6268)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6269), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3539, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6268)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6269), 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), _u6269), _u6268)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3540, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6270), 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), _u6271), _u6270)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6271)) )).
% 12.54/12.77 cnf(matrix-3541, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6270), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6271)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6271), _u6270)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3542, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6272), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6273)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6272), _u6273)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3543, plain, ( ( _u6274 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6274), _u6274) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.54/12.77 cnf(matrix-3544, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.77 cnf(matrix-3545, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6276) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6276 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-3546, plain, ( ( _u6277 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6277) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.77 cnf(matrix-3547, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.77 cnf(matrix-3548, 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), _u6278))) )).
% 12.54/12.77 cnf(matrix-3549, 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), _u6279))) )).
% 12.54/12.77 cnf(matrix-3550, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6280)) | ~hBOOL(hAPP(_u6285, _u6280)) | hBOOL(hAPP(_u6285, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem174(_u6285)))) )).
% 12.54/12.77 cnf(matrix-3551, plain, ( ~hBOOL(hAPP(_u6286, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6282))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem175(_u6286))) )).
% 12.54/12.77 cnf(matrix-3552, plain, ( ~hBOOL(hAPP(_u6286, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6282))) | hBOOL(hAPP(_u6286, skolem175(_u6286))) )).
% 12.54/12.77 cnf(matrix-3553, plain, ( hBOOL(hAPP(_u6292, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6288))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem176(_u6292))) )).
% 12.54/12.77 cnf(matrix-3554, plain, ( hBOOL(hAPP(_u6292, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6288))) | ~hBOOL(hAPP(_u6292, skolem176(_u6292))) )).
% 12.54/12.77 cnf(matrix-3555, plain, ( ~hBOOL(hAPP(_u6293, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem177(_u6293)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6290)) | hBOOL(hAPP(_u6293, _u6290)) )).
% 12.54/12.77 cnf(matrix-3556, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6294)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3557, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6297)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6299))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6297), _u6299)) )).
% 12.54/12.77 cnf(matrix-3558, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6298), _u6300)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6298)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6300))) )).
% 12.54/12.77 cnf(matrix-3559, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6303)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6305))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6303), _u6305)) )).
% 12.54/12.77 cnf(matrix-3560, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6304), _u6306)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6304)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6306))) )).
% 12.54/12.77 cnf(matrix-3561, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6309)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6311))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6309), _u6311)) )).
% 12.54/12.77 cnf(matrix-3562, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6310), _u6312)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6310)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6312))) )).
% 12.54/12.77 cnf(matrix-3563, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6315)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6317))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6315), _u6317)) )).
% 12.54/12.77 cnf(matrix-3564, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6316), _u6318)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6316)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6318))) )).
% 12.54/12.77 cnf(matrix-3565, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6319)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6320)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6319), _u6320))) )).
% 12.54/12.77 cnf(matrix-3566, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6321)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6322)), _u6323)) = 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), _u6321), _u6322))), _u6323)) )).
% 12.54/12.77 cnf(matrix-3567, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6324)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6325)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6324), _u6325))) )).
% 12.54/12.77 cnf(matrix-3568, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6330), _u6332)) | ( _u6332 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6330), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem178(_u6332, _u6330)))) )).
% 12.54/12.77 cnf(matrix-3569, plain, ( ( _u6333 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6331), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6327))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6331), _u6333)) )).
% 12.54/12.77 cnf(matrix-3570, plain, ( ~class_Rings_Olinordered__semidom(_u6334) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6334), c_Groups_Ozero__class_Ozero(_u6334)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6334), _u6335))) )).
% 12.54/12.77 cnf(matrix-3571, plain, ( ~class_Rings_Olinordered__semidom(_u6336) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6336), c_Groups_Ozero__class_Ozero(_u6336)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6336), _u6337))) )).
% 12.54/12.77 cnf(matrix-3572, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6340)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6342)) | ( _u6340 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-3573, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6340)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6342)) | ( _u6342 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-3574, plain, ( ( _u6341 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6343 != 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), _u6341)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6343)) )).
% 12.54/12.77 cnf(matrix-3575, plain, ( ~class_Rings_Olinordered__semidom(_u6344) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6344), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6344), _u6345)), c_Groups_Ozero__class_Ozero(_u6344))) )).
% 12.54/12.77 cnf(matrix-3576, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6346)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6347)))) )).
% 12.54/12.77 cnf(matrix-3577, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6348), _u6349)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6348)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6349))) )).
% 12.54/12.77 cnf(matrix-3578, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6350)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6351)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6350), _u6351))) )).
% 12.54/12.77 cnf(matrix-3579, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6352)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6353)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6352), _u6353))) )).
% 12.54/12.77 cnf(matrix-3580, plain, ( ~class_Rings_Osemiring__1(_u6354) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6354), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(_u6354)) )).
% 12.54/12.77 cnf(matrix-3581, plain, ( ~class_Rings_Olinordered__semidom(_u6355) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6355), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6355), _u6356)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6355), _u6357))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6356), _u6357)) )).
% 12.54/12.77 cnf(matrix-3582, plain, ( ~class_Rings_Olinordered__semidom(_u6358) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6359), _u6360)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6358), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6358), _u6359)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6358), _u6360))) )).
% 12.54/12.77 cnf(matrix-3583, plain, ( ~class_Rings_Olinordered__semidom(_u6361) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6361), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6361), _u6362)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6361), _u6363))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6362), _u6363)) )).
% 12.54/12.77 cnf(matrix-3584, plain, ( ~class_Rings_Olinordered__semidom(_u6361) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6362), _u6363)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6361), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6361), _u6362)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6361), _u6363))) )).
% 12.54/12.77 cnf(matrix-3585, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.54/12.77 cnf(matrix-3586, plain, ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.54/12.77 cnf(matrix-3587, plain, ( ~class_Rings_Olinordered__semidom(_u6364) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6364), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6364), _u6365)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6364), _u6366))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6365), _u6366)) )).
% 12.54/12.77 cnf(matrix-3588, plain, ( ~class_Rings_Olinordered__semidom(_u6364) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6365), _u6366)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6364), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6364), _u6365)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6364), _u6366))) )).
% 12.54/12.77 cnf(matrix-3589, plain, ( ~class_Rings_Osemiring__1(_u6367) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6367), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6368), _u6369)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6367), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6367), _u6368)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6367), _u6369))) )).
% 12.54/12.77 cnf(matrix-3590, plain, ( ~class_Rings_Osemiring__1(_u6370) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6370), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6371), _u6372)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6370), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6370), _u6371)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6370), _u6372))) )).
% 12.54/12.77 cnf(matrix-3591, plain, ( ~class_Divides_Osemiring__div(_u6373) | ( _u6374 != c_Groups_Ozero__class_Ozero(_u6373)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6373), _u6374), _u6375)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6373), _u6374), _u6376)) = c_Groups_Ozero__class_Ozero(_u6373)) )).
% 12.54/12.77 cnf(matrix-3592, plain, ( ~class_Divides_Osemiring__div(_u6373) | ( _u6374 = c_Groups_Ozero__class_Ozero(_u6373)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6373), _u6374), _u6375)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6373), _u6374), _u6376)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6373), _u6375), _u6376)) )).
% 12.54/12.77 cnf(matrix-3593, plain, ( ~class_Divides_Osemiring__div(_u6377) | ( _u6378 = c_Groups_Ozero__class_Ozero(_u6377)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6377), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6377), _u6379), _u6378)), _u6378) = _u6379) )).
% 12.54/12.77 cnf(matrix-3594, plain, ( ~class_Divides_Osemiring__div(_u6380) | ( _u6381 = c_Groups_Ozero__class_Ozero(_u6380)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6380), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6380), _u6381), _u6382)), _u6381) = _u6382) )).
% 12.54/12.77 cnf(matrix-3595, plain, ( ~class_Divides_Osemiring__div(_u6383) | ( _u6384 = c_Groups_Ozero__class_Ozero(_u6383)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6383), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6383), _u6385), _u6384)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6383), _u6386), _u6384)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6383), _u6385), _u6386)) )).
% 12.54/12.77 cnf(matrix-3596, plain, ( ~class_Divides_Osemiring__div(_u6387) | ( _u6388 = c_Groups_Ozero__class_Ozero(_u6387)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6387), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6387), _u6388), _u6389)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6387), _u6388), _u6390)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6387), _u6389), _u6390)) )).
% 12.54/12.77 cnf(matrix-3597, plain, ( ~class_Divides_Osemiring__div(_u6391) | ( _u6392 = c_Groups_Ozero__class_Ozero(_u6391)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6391), _u6392), _u6392) = c_Groups_Oone__class_Oone(_u6391)) )).
% 12.54/12.77 cnf(matrix-3598, plain, ( ~class_Rings_Osemiring__1(_u6393) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6393), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u6393)) )).
% 12.54/12.77 cnf(matrix-3599, plain, ( ~class_Rings_Oring__1(_u6394) | hBOOL(hAPP(hAPP(c_member(_u6394), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6394), _u6395)), c_Int_Oring__1__class_OInts(_u6394))) )).
% 12.54/12.77 cnf(matrix-3600, plain, ( ~class_Rings_Osemiring__1(_u6396) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6396), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6397), _u6398)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6396), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6396), _u6397)), _u6398)) )).
% 12.54/12.77 cnf(matrix-3601, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6399), _u6400)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6399)), _u6400)) )).
% 12.54/12.77 cnf(matrix-3602, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6401)), _u6402) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6401), _u6402))) )).
% 12.54/12.77 cnf(matrix-3603, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6403)), _u6404) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6403), _u6404))) )).
% 12.54/12.77 cnf(matrix-3604, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u6406)) | 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)), _u6406))) )).
% 12.54/12.77 cnf(matrix-3605, 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)), _u6407))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u6407)) )).
% 12.54/12.77 cnf(matrix-3606, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.54/12.77 cnf(matrix-3607, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6410), _u6412) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6412 = 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)), _u6410)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6410), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3608, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6410), _u6412) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6412 = 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)), _u6410)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6412), _u6410)) )).
% 12.54/12.77 cnf(matrix-3609, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6410), _u6412) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6412 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6410), _u6412)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6410), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3610, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6410), _u6412) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6412 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6410), _u6412)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6412), _u6410)) )).
% 12.54/12.77 cnf(matrix-3611, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6411), _u6413) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6413 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.77 cnf(matrix-3612, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6411), _u6413) = 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)), _u6411)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6411), _u6413)) )).
% 12.54/12.77 cnf(matrix-3613, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6411), _u6413) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6411), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6413), _u6411)) )).
% 12.54/12.77 cnf(matrix-3614, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6414)) | ~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), _u6415), _u6414))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6415)) )).
% 12.54/12.77 cnf(matrix-3615, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6414)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6415)) | 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), _u6415), _u6414))) )).
% 12.54/12.77 cnf(matrix-3616, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6416)) | ~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), _u6417), _u6416))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6416), _u6417)) )).
% 12.54/12.77 cnf(matrix-3617, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6416)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6416), _u6417)) | 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), _u6417), _u6416))) )).
% 12.54/12.77 cnf(matrix-3618, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6418)) | ~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), _u6418), _u6419))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6419), _u6418)) )).
% 12.54/12.77 cnf(matrix-3619, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6418)) | ~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), _u6418), _u6419))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6419)) )).
% 12.54/12.77 cnf(matrix-3620, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6418)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6419), _u6418)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6419)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6418), _u6419))) )).
% 12.54/12.77 cnf(matrix-3621, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6420)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6421)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6421), _u6422)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6420), _u6422)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6420), _u6421))) )).
% 12.54/12.77 cnf(matrix-3622, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6423)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6424), 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), _u6423), _u6424)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3623, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6425)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6425), _u6426)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6425), _u6426) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.77 cnf(matrix-3624, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6427), 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), _u6428), _u6427))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6428), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3625, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6427), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6428), 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), _u6428), _u6427))) )).
% 12.54/12.77 cnf(matrix-3626, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6429), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6430)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6429), _u6430)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3627, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6431), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6432), _u6433)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6431), _u6432)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6431), _u6433))) )).
% 12.54/12.77 cnf(matrix-3628, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6434), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6435), _u6434)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6434), _u6435) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.77 cnf(matrix-3629, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6436), _u6437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6438)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6436), _u6438)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6437), _u6438))) )).
% 12.54/12.77 cnf(matrix-3630, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6439), _u6440)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6441), 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), _u6440), _u6441)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6439), _u6441))) )).
% 12.54/12.77 cnf(matrix-3631, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6442)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u6443)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6442), _u6443)), _u6442)) )).
% 12.54/12.77 cnf(matrix-3632, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6444)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6445), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6446), _u6444)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6445), _u6446)), _u6444)) )).
% 12.54/12.77 cnf(matrix-3633, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6448)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6448 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-3634, plain, ( ( _u6449 != 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), _u6449)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3635, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.54/12.77 cnf(matrix-3636, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6454), _u6456)) | ( _u6456 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6454), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem179(_u6456, _u6454))))) )).
% 12.54/12.77 cnf(matrix-3637, plain, ( ( _u6457 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6455), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u6451)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6455), _u6457)) )).
% 12.54/12.77 cnf(matrix-3638, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6460)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6462)))) | ( _u6460 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-3639, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6460)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6462)))) | ( _u6462 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-3640, plain, ( ( _u6461 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6463 != 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), _u6461)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6463)))) )).
% 12.54/12.77 cnf(matrix-3641, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u6464)) = 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), _u6464))) )).
% 12.54/12.77 cnf(matrix-3642, 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), _u6465))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3643, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6466), _u6467)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6467)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6466)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6467), _u6466))) )).
% 12.54/12.77 cnf(matrix-3644, plain, ( ~class_Rings_Osemiring__1(_u6468) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6468), hAPP(c_Nat_OSuc, _u6469)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6468), c_Groups_Oone__class_Oone(_u6468)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6468), _u6469))) )).
% 12.54/12.77 cnf(matrix-3645, plain, ( ~class_Rings_Oring__1(_u6470) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6471), _u6472)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6470), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6472), _u6471)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6470), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6470), _u6472)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6470), _u6471))) )).
% 12.54/12.77 cnf(matrix-3646, plain, ( ~class_Divides_Osemiring__div(_u6473) | ( _u6474 = c_Groups_Ozero__class_Ozero(_u6473)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6473), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6473), _u6475), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6473), _u6474), _u6476))), _u6474) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6473), _u6476), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6473), _u6475), _u6474))) )).
% 12.54/12.77 cnf(matrix-3647, plain, ( ~class_Divides_Osemiring__div(_u6477) | ( _u6478 = c_Groups_Ozero__class_Ozero(_u6477)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6477), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6477), _u6479), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6477), _u6480), _u6478))), _u6478) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6477), _u6480), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6477), _u6479), _u6478))) )).
% 12.54/12.77 cnf(matrix-3648, plain, ( ~class_Divides_Osemiring__div(_u6481) | ( _u6482 = c_Groups_Ozero__class_Ozero(_u6481)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6481), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6481), _u6482), _u6483)), _u6482) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6481), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6481), _u6483), _u6482)), c_Groups_Oone__class_Oone(_u6481))) )).
% 12.54/12.77 cnf(matrix-3649, plain, ( ~class_Divides_Osemiring__div(_u6484) | ( _u6485 = c_Groups_Ozero__class_Ozero(_u6484)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6484), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6484), _u6486), _u6485)), _u6485) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6484), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6484), _u6486), _u6485)), c_Groups_Oone__class_Oone(_u6484))) )).
% 12.54/12.77 cnf(matrix-3650, 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), _u6488))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6488)) )).
% 12.54/12.77 cnf(matrix-3651, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6489)) | 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), _u6489))) )).
% 12.54/12.77 cnf(matrix-3652, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6490), _u6491)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6492)) | 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), _u6492)), _u6490)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6492)), _u6491))) )).
% 12.54/12.77 cnf(matrix-3653, 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, _u6493))))) )).
% 12.54/12.77 cnf(matrix-3654, 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, _u6494)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3655, plain, ( ~class_Rings_Olinordered__semidom(_u6495) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6495), c_Groups_Ozero__class_Ozero(_u6495)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6495), _u6496))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6496)) )).
% 12.54/12.77 cnf(matrix-3656, plain, ( ~class_Rings_Olinordered__semidom(_u6495) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6496)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6495), c_Groups_Ozero__class_Ozero(_u6495)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6495), _u6496))) )).
% 12.54/12.77 cnf(matrix-3657, plain, ( ( _u6497 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6498), _u6499)), _u6500)) | ( _u6498 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6497), _u6498) = _u6499) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6498)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6498), _u6500)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6500), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3658, plain, ( ( _u6497 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6498), _u6499)), _u6500)) | ( _u6498 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6497), _u6498) = _u6499) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6500)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6500), _u6498)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6498)) )).
% 12.54/12.77 cnf(matrix-3659, plain, ( ( _u6497 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6498), _u6499)), _u6500)) | ( _u6498 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6497), _u6498) = _u6499) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6500)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6500), _u6498)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6498), _u6500)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6500), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3660, plain, ( ~hBOOL(hAPP(_u6512, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6514), _u6516))) | ( _u6516 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u6512, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3661, plain, ( ~hBOOL(hAPP(_u6512, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6514), _u6516))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6516)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6501)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6501), _u6516)) | ( _u6514 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6516), _u6502)), _u6501)) | hBOOL(hAPP(_u6512, _u6502)) )).
% 12.54/12.77 cnf(matrix-3662, plain, ( ~hBOOL(hAPP(_u6512, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6514), _u6516))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6516), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6516), _u6503)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6503), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6514 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6516), _u6504)), _u6503)) | hBOOL(hAPP(_u6512, _u6504)) )).
% 12.54/12.77 cnf(matrix-3663, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6517)) )).
% 12.54/12.77 cnf(matrix-3664, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6517 = 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)), skolem181(_u6517, _u6515, _u6513))) )).
% 12.54/12.77 cnf(matrix-3665, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem181(_u6517, _u6515, _u6513)), _u6517)) )).
% 12.54/12.77 cnf(matrix-3666, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem180(_u6517, _u6515, _u6513))), skolem181(_u6517, _u6515, _u6513))) )).
% 12.54/12.77 cnf(matrix-3667, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6513, skolem180(_u6517, _u6515, _u6513))) )).
% 12.54/12.77 cnf(matrix-3668, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6517)) )).
% 12.54/12.77 cnf(matrix-3669, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6513, 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)), skolem181(_u6517, _u6515, _u6513))) )).
% 12.54/12.77 cnf(matrix-3670, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem181(_u6517, _u6515, _u6513)), _u6517)) )).
% 12.54/12.77 cnf(matrix-3671, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem180(_u6517, _u6515, _u6513))), skolem181(_u6517, _u6515, _u6513))) )).
% 12.54/12.77 cnf(matrix-3672, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6513, skolem180(_u6517, _u6515, _u6513))) )).
% 12.54/12.77 cnf(matrix-3673, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), skolem183(_u6517, _u6515, _u6513))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6517)) )).
% 12.54/12.77 cnf(matrix-3674, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), skolem183(_u6517, _u6515, _u6513))) | ( _u6517 = 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)), skolem181(_u6517, _u6515, _u6513))) )).
% 12.54/12.77 cnf(matrix-3675, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), skolem183(_u6517, _u6515, _u6513))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem181(_u6517, _u6515, _u6513)), _u6517)) )).
% 12.54/12.77 cnf(matrix-3676, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), skolem183(_u6517, _u6515, _u6513))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem180(_u6517, _u6515, _u6513))), skolem181(_u6517, _u6515, _u6513))) )).
% 12.54/12.77 cnf(matrix-3677, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), skolem183(_u6517, _u6515, _u6513))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6513, skolem180(_u6517, _u6515, _u6513))) )).
% 12.54/12.77 cnf(matrix-3678, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem183(_u6517, _u6515, _u6513)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6517)) )).
% 12.54/12.77 cnf(matrix-3679, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem183(_u6517, _u6515, _u6513)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6517 = 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)), skolem181(_u6517, _u6515, _u6513))) )).
% 12.54/12.77 cnf(matrix-3680, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem183(_u6517, _u6515, _u6513)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem181(_u6517, _u6515, _u6513)), _u6517)) )).
% 12.54/12.77 cnf(matrix-3681, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem183(_u6517, _u6515, _u6513)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem180(_u6517, _u6515, _u6513))), skolem181(_u6517, _u6515, _u6513))) )).
% 12.54/12.77 cnf(matrix-3682, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem183(_u6517, _u6515, _u6513)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6513, skolem180(_u6517, _u6515, _u6513))) )).
% 12.54/12.77 cnf(matrix-3683, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem182(_u6517, _u6515, _u6513))), skolem183(_u6517, _u6515, _u6513))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6517)) )).
% 12.54/12.77 cnf(matrix-3684, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem182(_u6517, _u6515, _u6513))), skolem183(_u6517, _u6515, _u6513))) | ( _u6517 = 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)), skolem181(_u6517, _u6515, _u6513))) )).
% 12.54/12.77 cnf(matrix-3685, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem182(_u6517, _u6515, _u6513))), skolem183(_u6517, _u6515, _u6513))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem181(_u6517, _u6515, _u6513)), _u6517)) )).
% 12.54/12.77 cnf(matrix-3686, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem182(_u6517, _u6515, _u6513))), skolem183(_u6517, _u6515, _u6513))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem180(_u6517, _u6515, _u6513))), skolem181(_u6517, _u6515, _u6513))) )).
% 12.54/12.77 cnf(matrix-3687, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem182(_u6517, _u6515, _u6513))), skolem183(_u6517, _u6515, _u6513))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6513, skolem180(_u6517, _u6515, _u6513))) )).
% 12.54/12.77 cnf(matrix-3688, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ~hBOOL(hAPP(_u6513, skolem182(_u6517, _u6515, _u6513))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6517)) )).
% 12.54/12.77 cnf(matrix-3689, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ~hBOOL(hAPP(_u6513, skolem182(_u6517, _u6515, _u6513))) | ( _u6517 = 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)), skolem181(_u6517, _u6515, _u6513))) )).
% 12.54/12.77 cnf(matrix-3690, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ~hBOOL(hAPP(_u6513, skolem182(_u6517, _u6515, _u6513))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem181(_u6517, _u6515, _u6513)), _u6517)) )).
% 12.54/12.77 cnf(matrix-3691, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ~hBOOL(hAPP(_u6513, skolem182(_u6517, _u6515, _u6513))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem180(_u6517, _u6515, _u6513))), skolem181(_u6517, _u6515, _u6513))) )).
% 12.54/12.77 cnf(matrix-3692, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ~hBOOL(hAPP(_u6513, skolem182(_u6517, _u6515, _u6513))) | ( _u6517 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6513, skolem180(_u6517, _u6515, _u6513))) )).
% 12.54/12.77 cnf(matrix-3693, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), skolem183(_u6517, _u6515, _u6513))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6517)) )).
% 12.54/12.77 cnf(matrix-3694, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), skolem183(_u6517, _u6515, _u6513))) | ~hBOOL(hAPP(_u6513, 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)), skolem181(_u6517, _u6515, _u6513))) )).
% 12.54/12.77 cnf(matrix-3695, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), skolem183(_u6517, _u6515, _u6513))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem181(_u6517, _u6515, _u6513)), _u6517)) )).
% 12.54/12.77 cnf(matrix-3696, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), skolem183(_u6517, _u6515, _u6513))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem180(_u6517, _u6515, _u6513))), skolem181(_u6517, _u6515, _u6513))) )).
% 12.54/12.77 cnf(matrix-3697, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6517), skolem183(_u6517, _u6515, _u6513))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6513, skolem180(_u6517, _u6515, _u6513))) )).
% 12.54/12.77 cnf(matrix-3698, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem183(_u6517, _u6515, _u6513)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6517)) )).
% 12.54/12.77 cnf(matrix-3699, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem183(_u6517, _u6515, _u6513)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6513, 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)), skolem181(_u6517, _u6515, _u6513))) )).
% 12.54/12.77 cnf(matrix-3700, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem183(_u6517, _u6515, _u6513)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem181(_u6517, _u6515, _u6513)), _u6517)) )).
% 12.54/12.77 cnf(matrix-3701, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem183(_u6517, _u6515, _u6513)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem180(_u6517, _u6515, _u6513))), skolem181(_u6517, _u6515, _u6513))) )).
% 12.54/12.77 cnf(matrix-3702, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem183(_u6517, _u6515, _u6513)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6513, skolem180(_u6517, _u6515, _u6513))) )).
% 12.54/12.77 cnf(matrix-3703, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem182(_u6517, _u6515, _u6513))), skolem183(_u6517, _u6515, _u6513))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6517)) )).
% 12.54/12.77 cnf(matrix-3704, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem182(_u6517, _u6515, _u6513))), skolem183(_u6517, _u6515, _u6513))) | ~hBOOL(hAPP(_u6513, 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)), skolem181(_u6517, _u6515, _u6513))) )).
% 12.54/12.77 cnf(matrix-3705, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem182(_u6517, _u6515, _u6513))), skolem183(_u6517, _u6515, _u6513))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem181(_u6517, _u6515, _u6513)), _u6517)) )).
% 12.54/12.77 cnf(matrix-3706, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem182(_u6517, _u6515, _u6513))), skolem183(_u6517, _u6515, _u6513))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem180(_u6517, _u6515, _u6513))), skolem181(_u6517, _u6515, _u6513))) )).
% 12.54/12.77 cnf(matrix-3707, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem182(_u6517, _u6515, _u6513))), skolem183(_u6517, _u6515, _u6513))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6513, skolem180(_u6517, _u6515, _u6513))) )).
% 12.54/12.77 cnf(matrix-3708, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ~hBOOL(hAPP(_u6513, skolem182(_u6517, _u6515, _u6513))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6517)) )).
% 12.54/12.77 cnf(matrix-3709, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ~hBOOL(hAPP(_u6513, skolem182(_u6517, _u6515, _u6513))) | ~hBOOL(hAPP(_u6513, 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)), skolem181(_u6517, _u6515, _u6513))) )).
% 12.54/12.77 cnf(matrix-3710, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ~hBOOL(hAPP(_u6513, skolem182(_u6517, _u6515, _u6513))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem181(_u6517, _u6515, _u6513)), _u6517)) )).
% 12.54/12.77 cnf(matrix-3711, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ~hBOOL(hAPP(_u6513, skolem182(_u6517, _u6515, _u6513))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6515 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6517), skolem180(_u6517, _u6515, _u6513))), skolem181(_u6517, _u6515, _u6513))) )).
% 12.54/12.77 cnf(matrix-3712, plain, ( hBOOL(hAPP(_u6513, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6515), _u6517))) | ~hBOOL(hAPP(_u6513, skolem182(_u6517, _u6515, _u6513))) | ~hBOOL(hAPP(_u6513, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6513, skolem180(_u6517, _u6515, _u6513))) )).
% 12.54/12.77 cnf(matrix-3713, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6518)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6519)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Nat__Transfer_Otsub(_u6518, _u6519))) )).
% 12.54/12.77 cnf(matrix-3714, plain, ( ~hBOOL(hAPP(_u6523, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6525), _u6527)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6527), _u6525)) | hBOOL(hAPP(_u6523, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6525)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6527)))) )).
% 12.54/12.77 cnf(matrix-3715, plain, ( ~hBOOL(hAPP(_u6523, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6525), _u6527)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6525), _u6527)) | hBOOL(hAPP(_u6523, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3716, plain, ( hBOOL(hAPP(_u6524, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6526), _u6528)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6528), _u6526)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6526), _u6528)) )).
% 12.54/12.77 cnf(matrix-3717, plain, ( hBOOL(hAPP(_u6524, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6526), _u6528)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6528), _u6526)) | ~hBOOL(hAPP(_u6524, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3718, plain, ( hBOOL(hAPP(_u6524, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6526), _u6528)))) | ~hBOOL(hAPP(_u6524, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6526)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6528)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6526), _u6528)) )).
% 12.54/12.77 cnf(matrix-3719, plain, ( hBOOL(hAPP(_u6524, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6526), _u6528)))) | ~hBOOL(hAPP(_u6524, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6526)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6528)))) | ~hBOOL(hAPP(_u6524, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3720, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6529), _u6530)) | ( c_Nat__Transfer_Otsub(_u6530, _u6529) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6530), _u6529)) )).
% 12.54/12.77 cnf(matrix-3721, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6533)) | ( c_SMT_Oz3div(_u6535, _u6533) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6535), _u6533)) )).
% 12.54/12.77 cnf(matrix-3722, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6534)) | ( c_SMT_Oz3div(_u6536, _u6534) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6536), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6534)))) )).
% 12.54/12.77 cnf(matrix-3723, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u6538) | ~class_Rings_Osemiring__1(_u6538) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6538), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6539, _u6538), _u6541), _u6540)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6538), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6538), hAPP(c_Finite__Set_Ocard(_u6539), _u6540))), _u6542))) | hBOOL(hAPP(hAPP(c_member(_u6539), skolem184(_u6542, _u6541, _u6540, _u6539, _u6538)), _u6540)) )).
% 12.54/12.77 cnf(matrix-3724, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u6538) | ~class_Rings_Osemiring__1(_u6538) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6538), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6539, _u6538), _u6541), _u6540)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6538), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6538), hAPP(c_Finite__Set_Ocard(_u6539), _u6540))), _u6542))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6538), hAPP(_u6541, skolem184(_u6542, _u6541, _u6540, _u6539, _u6538))), _u6542)) )).
% 12.54/12.77 cnf(matrix-3725, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6543)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6543), _u6544)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6543), _u6544) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.54/12.77 cnf(matrix-3726, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6549), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(_u6550, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6551), _u6549)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6551, _u6549))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6549), _u6545)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6545), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6551 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6549), _u6546)), _u6545)) | hBOOL(hAPP(hAPP(_u6550, _u6546), _u6545)) )).
% 12.54/12.77 cnf(matrix-3727, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6549), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u6550, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6551), _u6549)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6551, _u6549))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6549), skolem186(_u6551, _u6550, _u6549))) )).
% 12.54/12.77 cnf(matrix-3728, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6549), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u6550, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6551), _u6549)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6551, _u6549))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem186(_u6551, _u6550, _u6549)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3729, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6549), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u6550, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6551), _u6549)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6551, _u6549))) | ( _u6551 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6549), skolem185(_u6551, _u6550, _u6549))), skolem186(_u6551, _u6550, _u6549))) )).
% 12.54/12.77 cnf(matrix-3730, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6549), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u6550, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6551), _u6549)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6551, _u6549))) | ~hBOOL(hAPP(hAPP(_u6550, skolem185(_u6551, _u6550, _u6549)), skolem186(_u6551, _u6550, _u6549))) )).
% 12.54/12.77 cnf(matrix-3731, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6556)) | ~hBOOL(hAPP(hAPP(_u6557, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6558), _u6556)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6558, _u6556))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6552)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6552), _u6556)) | ( _u6558 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6556), _u6553)), _u6552)) | hBOOL(hAPP(hAPP(_u6557, _u6553), _u6552)) )).
% 12.54/12.77 cnf(matrix-3732, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6556)) | hBOOL(hAPP(hAPP(_u6557, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6558), _u6556)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6558, _u6556))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem188(_u6558, _u6557, _u6556))) )).
% 12.54/12.77 cnf(matrix-3733, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6556)) | hBOOL(hAPP(hAPP(_u6557, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6558), _u6556)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6558, _u6556))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem188(_u6558, _u6557, _u6556)), _u6556)) )).
% 12.54/12.77 cnf(matrix-3734, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6556)) | hBOOL(hAPP(hAPP(_u6557, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6558), _u6556)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6558, _u6556))) | ( _u6558 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6556), skolem187(_u6558, _u6557, _u6556))), skolem188(_u6558, _u6557, _u6556))) )).
% 12.54/12.77 cnf(matrix-3735, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6556)) | hBOOL(hAPP(hAPP(_u6557, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6558), _u6556)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6558, _u6556))) | ~hBOOL(hAPP(hAPP(_u6557, skolem187(_u6558, _u6557, _u6556)), skolem188(_u6558, _u6557, _u6556))) )).
% 12.54/12.77 cnf(matrix-3736, plain, ( ~class_Int_Onumber__ring(_u6559) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6560))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6559), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6560)) = c_Groups_Ozero__class_Ozero(_u6559)) )).
% 12.54/12.77 cnf(matrix-3737, plain, ( ~class_Int_Onumber__ring(_u6559) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6560))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6559), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6560)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6559), _u6560)) )).
% 12.54/12.77 cnf(matrix-3738, plain, ( ( _u6563 != _u6565) | ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6563) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6565)) )).
% 12.54/12.77 cnf(matrix-3739, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6564) != hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6566)) | ( _u6564 = _u6566) )).
% 12.54/12.77 cnf(matrix-3740, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6569) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6571)) | ( _u6569 = _u6571) )).
% 12.54/12.77 cnf(matrix-3741, plain, ( ( _u6570 != _u6572) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6570) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6572)) )).
% 12.54/12.77 cnf(matrix-3742, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u6575), _u6577)) | 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)), _u6575)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6577))) )).
% 12.54/12.77 cnf(matrix-3743, 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)), _u6576)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6578))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u6576), _u6578)) )).
% 12.54/12.77 cnf(matrix-3744, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6581) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6583)) | ( _u6581 = _u6583) )).
% 12.54/12.77 cnf(matrix-3745, plain, ( ( _u6582 != _u6584) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6582) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6584)) )).
% 12.54/12.77 cnf(matrix-3746, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6585))) )).
% 12.54/12.77 cnf(matrix-3747, plain, ( ~class_Divides_Osemiring__div(_u6586) | ( c_Divides_Odiv__class_Omod(_u6586, c_Groups_Ozero__class_Ozero(_u6586), _u6587) = c_Groups_Ozero__class_Ozero(_u6586)) )).
% 12.54/12.77 cnf(matrix-3748, plain, ( ~class_Divides_Osemiring__div(_u6588) | ( c_Divides_Odiv__class_Omod(_u6588, _u6589, c_Groups_Ozero__class_Ozero(_u6588)) = _u6589) )).
% 12.54/12.77 cnf(matrix-3749, plain, ( ~class_Divides_Osemiring__div(_u6590) | ( c_Divides_Odiv__class_Omod(_u6590, _u6591, _u6591) = c_Groups_Ozero__class_Ozero(_u6590)) )).
% 12.54/12.77 cnf(matrix-3750, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin))) )).
% 12.54/12.77 cnf(matrix-3751, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6592, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.77 cnf(matrix-3752, plain, ( ~class_Divides_Osemiring__div(_u6593) | ( c_Divides_Odiv__class_Omod(_u6593, c_Divides_Odiv__class_Omod(_u6593, _u6594, _u6595), _u6595) = c_Divides_Odiv__class_Omod(_u6593, _u6594, _u6595)) )).
% 12.54/12.77 cnf(matrix-3753, plain, ( ~class_Divides_Osemiring__div(_u6596) | ( c_Divides_Odiv__class_Omod(_u6596, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6596), _u6597), _u6598), _u6598) = c_Divides_Odiv__class_Omod(_u6596, _u6597, _u6598)) )).
% 12.54/12.77 cnf(matrix-3754, plain, ( ~class_Divides_Osemiring__div(_u6599) | ( c_Divides_Odiv__class_Omod(_u6599, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6599), _u6600), _u6601), _u6600) = c_Divides_Odiv__class_Omod(_u6599, _u6601, _u6600)) )).
% 12.54/12.77 cnf(matrix-3755, plain, ( ~class_Divides_Osemiring__div(_u6602) | ( c_Divides_Odiv__class_Omod(_u6602, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6602), _u6603), _u6604), _u6605) = c_Divides_Odiv__class_Omod(_u6602, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6602), _u6603), c_Divides_Odiv__class_Omod(_u6602, _u6604, _u6605)), _u6605)) )).
% 12.54/12.77 cnf(matrix-3756, plain, ( ~class_Divides_Osemiring__div(_u6606) | ( c_Divides_Odiv__class_Omod(_u6606, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6606), _u6607), _u6608), _u6609) = c_Divides_Odiv__class_Omod(_u6606, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6606), c_Divides_Odiv__class_Omod(_u6606, _u6607, _u6609)), _u6608), _u6609)) )).
% 12.54/12.77 cnf(matrix-3757, plain, ( ~class_Divides_Osemiring__div(_u6610) | ( c_Divides_Odiv__class_Omod(_u6610, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6610), _u6611), _u6612), _u6613) = c_Divides_Odiv__class_Omod(_u6610, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6610), c_Divides_Odiv__class_Omod(_u6610, _u6611, _u6613)), c_Divides_Odiv__class_Omod(_u6610, _u6612, _u6613)), _u6613)) )).
% 12.54/12.77 cnf(matrix-3758, plain, ( ~class_Divides_Osemiring__div(_u6614) | ( c_Divides_Odiv__class_Omod(_u6614, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6614), _u6615), c_Divides_Odiv__class_Omod(_u6614, _u6616, _u6617)), _u6617) = c_Divides_Odiv__class_Omod(_u6614, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6614), _u6615), _u6616), _u6617)) )).
% 12.54/12.77 cnf(matrix-3759, plain, ( ~class_Divides_Osemiring__div(_u6618) | ( c_Divides_Odiv__class_Omod(_u6618, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6618), c_Divides_Odiv__class_Omod(_u6618, _u6619, _u6620)), _u6621), _u6620) = c_Divides_Odiv__class_Omod(_u6618, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6618), _u6619), _u6621), _u6620)) )).
% 12.54/12.77 cnf(matrix-3760, plain, ( ~class_Divides_Osemiring__div(_u6622) | ( c_Divides_Odiv__class_Omod(_u6622, _u6623, _u6624) != c_Divides_Odiv__class_Omod(_u6622, _u6625, _u6624)) | ( c_Divides_Odiv__class_Omod(_u6622, _u6626, _u6624) != c_Divides_Odiv__class_Omod(_u6622, _u6627, _u6624)) | ( c_Divides_Odiv__class_Omod(_u6622, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6622), _u6623), _u6626), _u6624) = c_Divides_Odiv__class_Omod(_u6622, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6622), _u6625), _u6627), _u6624)) )).
% 12.54/12.77 cnf(matrix-3761, plain, ( ~class_Divides_Osemiring__div(_u6628) | ( c_Divides_Odiv__class_Omod(_u6628, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6628), _u6629), _u6630), _u6631) = c_Divides_Odiv__class_Omod(_u6628, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6628), _u6629), c_Divides_Odiv__class_Omod(_u6628, _u6630, _u6631)), _u6631)) )).
% 12.54/12.77 cnf(matrix-3762, plain, ( ~class_Divides_Osemiring__div(_u6632) | ( c_Divides_Odiv__class_Omod(_u6632, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6632), _u6633), _u6634), _u6635) = c_Divides_Odiv__class_Omod(_u6632, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6632), c_Divides_Odiv__class_Omod(_u6632, _u6633, _u6635)), _u6634), _u6635)) )).
% 12.54/12.77 cnf(matrix-3763, plain, ( ~class_Divides_Osemiring__div(_u6636) | ( c_Divides_Odiv__class_Omod(_u6636, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6636), _u6637), _u6638), _u6639) = c_Divides_Odiv__class_Omod(_u6636, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6636), c_Divides_Odiv__class_Omod(_u6636, _u6637, _u6639)), c_Divides_Odiv__class_Omod(_u6636, _u6638, _u6639)), _u6639)) )).
% 12.54/12.77 cnf(matrix-3764, plain, ( ~class_Divides_Osemiring__div(_u6640) | ( c_Divides_Odiv__class_Omod(_u6640, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6640), _u6641), _u6642), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6640), _u6641), _u6643)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6640), _u6641), c_Divides_Odiv__class_Omod(_u6640, _u6642, _u6643))) )).
% 12.54/12.77 cnf(matrix-3765, plain, ( ~class_Divides_Osemiring__div(_u6644) | ( c_Divides_Odiv__class_Omod(_u6644, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6644), _u6645), _u6646), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6644), _u6647), _u6646)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6644), c_Divides_Odiv__class_Omod(_u6644, _u6645, _u6647)), _u6646)) )).
% 12.54/12.77 cnf(matrix-3766, plain, ( ~class_Divides_Osemiring__div(_u6648) | ( c_Divides_Odiv__class_Omod(_u6648, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6648), c_Divides_Odiv__class_Omod(_u6648, _u6649, _u6650)), _u6651), _u6650) = c_Divides_Odiv__class_Omod(_u6648, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6648), _u6649), _u6651), _u6650)) )).
% 12.54/12.77 cnf(matrix-3767, plain, ( ~class_Divides_Osemiring__div(_u6652) | ( c_Divides_Odiv__class_Omod(_u6652, _u6653, _u6654) != c_Divides_Odiv__class_Omod(_u6652, _u6655, _u6654)) | ( c_Divides_Odiv__class_Omod(_u6652, _u6656, _u6654) != c_Divides_Odiv__class_Omod(_u6652, _u6657, _u6654)) | ( c_Divides_Odiv__class_Omod(_u6652, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6652), _u6653), _u6656), _u6654) = c_Divides_Odiv__class_Omod(_u6652, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6652), _u6655), _u6657), _u6654)) )).
% 12.54/12.77 cnf(matrix-3768, plain, ( ~class_Divides_Oring__div(_u6658) | ( c_Divides_Odiv__class_Omod(_u6658, _u6659, _u6660) != c_Divides_Odiv__class_Omod(_u6658, _u6661, _u6660)) | ( c_Divides_Odiv__class_Omod(_u6658, _u6662, _u6660) != c_Divides_Odiv__class_Omod(_u6658, _u6663, _u6660)) | ( c_Divides_Odiv__class_Omod(_u6658, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6658), _u6659), _u6662), _u6660) = c_Divides_Odiv__class_Omod(_u6658, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6658), _u6661), _u6663), _u6660)) )).
% 12.54/12.77 cnf(matrix-3769, plain, ( ~class_Divides_Oring__div(_u6664) | ( c_Divides_Odiv__class_Omod(_u6664, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6664), _u6665), _u6666), _u6667) = c_Divides_Odiv__class_Omod(_u6664, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6664), c_Divides_Odiv__class_Omod(_u6664, _u6665, _u6667)), c_Divides_Odiv__class_Omod(_u6664, _u6666, _u6667)), _u6667)) )).
% 12.54/12.77 cnf(matrix-3770, plain, ( ~class_Divides_Oring__div(_u6668) | ( c_Divides_Odiv__class_Omod(_u6668, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6668), _u6669), _u6670), _u6671) = c_Divides_Odiv__class_Omod(_u6668, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6668), c_Divides_Odiv__class_Omod(_u6668, _u6669, _u6671)), _u6670), _u6671)) )).
% 12.54/12.77 cnf(matrix-3771, plain, ( ~class_Divides_Oring__div(_u6672) | ( c_Divides_Odiv__class_Omod(_u6672, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6672), _u6673), _u6674), _u6675) = c_Divides_Odiv__class_Omod(_u6672, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6672), _u6673), c_Divides_Odiv__class_Omod(_u6672, _u6674, _u6675)), _u6675)) )).
% 12.54/12.77 cnf(matrix-3772, plain, ( ~class_Divides_Oring__div(_u6676) | ( c_Divides_Odiv__class_Omod(_u6676, _u6677, _u6678) != c_Divides_Odiv__class_Omod(_u6676, _u6679, _u6678)) | ( c_Divides_Odiv__class_Omod(_u6676, hAPP(c_Groups_Ouminus__class_Ouminus(_u6676), _u6677), _u6678) = c_Divides_Odiv__class_Omod(_u6676, hAPP(c_Groups_Ouminus__class_Ouminus(_u6676), _u6679), _u6678)) )).
% 12.54/12.77 cnf(matrix-3773, plain, ( ~class_Divides_Oring__div(_u6680) | ( c_Divides_Odiv__class_Omod(_u6680, hAPP(c_Groups_Ouminus__class_Ouminus(_u6680), _u6681), _u6682) = c_Divides_Odiv__class_Omod(_u6680, hAPP(c_Groups_Ouminus__class_Ouminus(_u6680), c_Divides_Odiv__class_Omod(_u6680, _u6681, _u6682)), _u6682)) )).
% 12.54/12.77 cnf(matrix-3774, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6683), _u6684)), _u6683)) )).
% 12.54/12.77 cnf(matrix-3775, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6685), _u6686)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6685), _u6687)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6686), _u6687))) )).
% 12.54/12.77 cnf(matrix-3776, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6688), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6689), _u6690)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6688), _u6689)), _u6690)) )).
% 12.54/12.77 cnf(matrix-3777, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6691, _u6691) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.77 cnf(matrix-3778, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u6692) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.77 cnf(matrix-3779, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6693), _u6694)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6693)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6694))) )).
% 12.54/12.77 cnf(matrix-3780, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6695)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6696)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6695), _u6696))) )).
% 12.54/12.77 cnf(matrix-3781, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 12.54/12.77 cnf(matrix-3782, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 12.54/12.77 cnf(matrix-3783, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6697), _u6698), _u6699) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6697), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6698, _u6699)), _u6699)) )).
% 12.54/12.77 cnf(matrix-3784, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6700), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6701, _u6702)), _u6702) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6700), _u6701), _u6702)) )).
% 12.54/12.77 cnf(matrix-3785, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6703), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6704, _u6705)), _u6705) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6703), _u6704), _u6705)) )).
% 12.54/12.77 cnf(matrix-3786, 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, _u6706, _u6707)), _u6708), _u6707) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6706), _u6708), _u6707)) )).
% 12.54/12.77 cnf(matrix-3787, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6709, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6710)) = 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), _u6709), _u6710))) )).
% 12.54/12.77 cnf(matrix-3788, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6711), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6712)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6711, _u6712))) )).
% 12.54/12.77 cnf(matrix-3789, 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, _u6713, _u6714)), _u6714) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6713), _u6714)) )).
% 12.54/12.77 cnf(matrix-3790, 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, _u6715, _u6716)), _u6717), _u6716) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6715), _u6717), _u6716)) )).
% 12.54/12.77 cnf(matrix-3791, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 12.54/12.77 cnf(matrix-3792, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3793, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3794, plain, ( ~class_Divides_Osemiring__div(_u6718) | ( c_Divides_Odiv__class_Omod(_u6718, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6718), _u6719), _u6720), _u6719) = c_Groups_Ozero__class_Ozero(_u6718)) )).
% 12.54/12.77 cnf(matrix-3795, plain, ( ~class_Divides_Osemiring__div(_u6721) | ( c_Divides_Odiv__class_Omod(_u6721, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6721), _u6722), _u6723), _u6723) = c_Groups_Ozero__class_Ozero(_u6721)) )).
% 12.54/12.77 cnf(matrix-3796, plain, ( ~class_Divides_Osemiring__div(_u6724) | ( c_Divides_Odiv__class_Omod(_u6724, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6724), _u6725), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6724), _u6726), _u6727)), _u6726) = c_Divides_Odiv__class_Omod(_u6724, _u6725, _u6726)) )).
% 12.54/12.77 cnf(matrix-3797, plain, ( ~class_Divides_Osemiring__div(_u6728) | ( c_Divides_Odiv__class_Omod(_u6728, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6728), _u6729), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6728), _u6730), _u6731)), _u6731) = c_Divides_Odiv__class_Omod(_u6728, _u6729, _u6731)) )).
% 12.54/12.77 cnf(matrix-3798, plain, ( ~class_Divides_Osemiring__div(_u6732) | ( c_Divides_Odiv__class_Omod(_u6732, _u6733, c_Groups_Oone__class_Oone(_u6732)) = c_Groups_Ozero__class_Ozero(_u6732)) )).
% 12.54/12.77 cnf(matrix-3799, plain, ( ~class_Divides_Osemiring__div(_u6734) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6734), c_Divides_Odiv__class_Omod(_u6734, _u6735, _u6736)), _u6736) = c_Groups_Ozero__class_Ozero(_u6734)) )).
% 12.54/12.77 cnf(matrix-3800, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6737), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = _u6737) )).
% 12.54/12.77 cnf(matrix-3801, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6738), _u6739)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6738), _u6739) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-3802, plain, ( ( _u6743 != 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), _u6743), _u6745)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6743), _u6747)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-3803, plain, ( ( _u6744 = 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), _u6744), _u6746)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6744), _u6748)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6746), _u6748)) )).
% 12.54/12.77 cnf(matrix-3804, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6749)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6750)) | 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, _u6749, _u6750))) )).
% 12.54/12.77 cnf(matrix-3805, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6751)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6751, _u6752)), _u6751)) )).
% 12.54/12.77 cnf(matrix-3806, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6753), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6753), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6754, _u6753))) )).
% 12.54/12.77 cnf(matrix-3807, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6755)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6756, _u6755)), _u6755)) )).
% 12.54/12.77 cnf(matrix-3808, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6761, _u6763) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6761 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6763), skolem189(_u6763, _u6761))) )).
% 12.54/12.77 cnf(matrix-3809, plain, ( ( _u6762 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6764), _u6758)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6762, _u6764) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.77 cnf(matrix-3810, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3811, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6765, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6766)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6765, _u6766) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.77 cnf(matrix-3812, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6767), _u6768) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6767, _u6768) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.77 cnf(matrix-3813, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6770), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.77 cnf(matrix-3814, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6771, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u6771) )).
% 12.54/12.77 cnf(matrix-3815, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6772, _u6773)), _u6773) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.77 cnf(matrix-3816, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6774), _u6775)), _u6776) = 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), _u6774), _u6776)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6775), _u6776))), 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, _u6774, _u6776)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6775, _u6776))), _u6776))) )).
% 12.54/12.77 cnf(matrix-3817, plain, ( ( c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3818, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OMin), _u6777) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6777)) )).
% 12.54/12.77 cnf(matrix-3819, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6778)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u6778) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6778), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3820, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u6780)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6780)) )).
% 12.54/12.77 cnf(matrix-3821, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6781)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u6781)) )).
% 12.54/12.77 cnf(matrix-3822, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u6783)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6783), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3823, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6784), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, _u6784)) )).
% 12.54/12.77 cnf(matrix-3824, 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, _u6785))))) )).
% 12.54/12.77 cnf(matrix-3825, plain, ( ~class_Divides_Osemiring__div(_u6786) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6786), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6786), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6786), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6786), _u6787), _u6788)), _u6788)), c_Divides_Odiv__class_Omod(_u6786, _u6787, _u6788))), _u6789) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6786), _u6787), _u6789)) )).
% 12.54/12.77 cnf(matrix-3826, plain, ( ~class_Divides_Osemiring__div(_u6790) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6790), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6790), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6790), _u6791), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6790), _u6792), _u6791))), c_Divides_Odiv__class_Omod(_u6790, _u6792, _u6791))), _u6793) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6790), _u6792), _u6793)) )).
% 12.54/12.77 cnf(matrix-3827, plain, ( ~class_Divides_Osemiring__div(_u6794) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6794), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6794), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6794), _u6795), _u6796)), _u6796)), c_Divides_Odiv__class_Omod(_u6794, _u6795, _u6796)) = _u6795) )).
% 12.54/12.77 cnf(matrix-3828, plain, ( ~class_Divides_Osemiring__div(_u6797) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6797), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6797), _u6798), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6797), _u6799), _u6798))), c_Divides_Odiv__class_Omod(_u6797, _u6799, _u6798)) = _u6799) )).
% 12.54/12.77 cnf(matrix-3829, plain, ( ~class_Divides_Osemiring__div(_u6800) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6800), c_Divides_Odiv__class_Omod(_u6800, _u6801, _u6802)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6800), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6800), _u6801), _u6802)), _u6802)) = _u6801) )).
% 12.54/12.77 cnf(matrix-3830, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6803)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6803), _u6804)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6805), _u6804)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6805), _u6803))) )).
% 12.54/12.77 cnf(matrix-3831, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6806)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6806), _u6807)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6806), _u6808)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6807), _u6808)) )).
% 12.54/12.77 cnf(matrix-3832, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6809)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6809), _u6810)), _u6809) = _u6810) )).
% 12.54/12.77 cnf(matrix-3833, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6811)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6812), _u6811)), _u6811) = _u6812) )).
% 12.54/12.77 cnf(matrix-3834, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u6813)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6814)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6814), _u6813)), _u6814)) )).
% 12.54/12.77 cnf(matrix-3835, plain, ( ~class_Int_Onumber__ring(_u6815) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6815), _u6816), hAPP(c_Int_Onumber__class_Onumber__of(_u6815), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6815), _u6816)) )).
% 12.54/12.77 cnf(matrix-3836, plain, ( ~class_Int_Onumber__ring(_u6817) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6817), hAPP(c_Int_Onumber__class_Onumber__of(_u6817), c_Int_OMin)), _u6818) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6817), _u6818)) )).
% 12.54/12.77 cnf(matrix-3837, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6819), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6820), _u6819)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6819, _u6820) = _u6819) )).
% 12.54/12.77 cnf(matrix-3838, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6821), 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, _u6822, _u6821)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3839, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6821), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6821), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6822, _u6821))) )).
% 12.54/12.77 cnf(matrix-3840, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6823), 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, _u6824, _u6823)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3841, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6825)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6825), _u6826)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6825, _u6826) = _u6825) )).
% 12.54/12.77 cnf(matrix-3842, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6827)) | 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, _u6828, _u6827))) )).
% 12.54/12.77 cnf(matrix-3843, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6827)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6828, _u6827)), _u6827)) )).
% 12.54/12.77 cnf(matrix-3844, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6829)) | 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, _u6830, _u6829))) )).
% 12.54/12.77 cnf(matrix-3845, plain, ( ~class_Int_Onumber__ring(_u6831) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u6831), c_Int_OMin) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6831), c_Groups_Oone__class_Oone(_u6831))) )).
% 12.54/12.77 cnf(matrix-3846, plain, ( ~class_Int_Onumber__ring(_u6832) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6832), c_Groups_Oone__class_Oone(_u6832)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6832), c_Int_OMin)) )).
% 12.54/12.77 cnf(matrix-3847, plain, ( ~class_Fields_Ofield__inverse__zero(_u6833) | ~class_Int_Onumber__ring(_u6833) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6833), _u6834), hAPP(c_Int_Onumber__class_Onumber__of(_u6833), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6833), _u6834)) )).
% 12.54/12.77 cnf(matrix-3848, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6837, _u6839) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6837, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6839)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.77 cnf(matrix-3849, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6838, _u6840) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6838, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6840)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6838, _u6840)), _u6840)) )).
% 12.54/12.77 cnf(matrix-3850, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6843, _u6845) != 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), _u6843), _u6845) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.77 cnf(matrix-3851, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6844, _u6846) = 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), _u6844), _u6846) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6846), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6844, _u6846))) )).
% 12.54/12.77 cnf(matrix-3852, plain, ( ( _u6847 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6848), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6847), _u6848))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6847, _u6848))) )).
% 12.54/12.77 cnf(matrix-3853, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6849), _u6850)), _u6851) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6849), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6850), _u6851))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6849), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6850, _u6851))), _u6851))) )).
% 12.54/12.77 cnf(matrix-3854, 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), _u6852), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6853), _u6852))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6853, _u6852))), _u6854) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6853), _u6854)) )).
% 12.54/12.77 cnf(matrix-3855, 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), _u6855), _u6856)), _u6856)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6855, _u6856))), _u6857) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6855), _u6857)) )).
% 12.54/12.77 cnf(matrix-3856, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6858), _u6859) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6858 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6858 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.54/12.77 cnf(matrix-3857, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6862), _u6864) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6862 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6862 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.54/12.77 cnf(matrix-3858, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6862), _u6864) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6862 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6864 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.54/12.77 cnf(matrix-3859, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6862), _u6864) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6864 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6862 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.54/12.77 cnf(matrix-3860, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6862), _u6864) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6864 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6864 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.54/12.77 cnf(matrix-3861, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6863), _u6865) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6863 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6865 != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.54/12.77 cnf(matrix-3862, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6863), _u6865) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6863 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) | ( _u6865 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.54/12.77 cnf(matrix-3863, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6866), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6867), _u6866)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6867), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6867, _u6866))) )).
% 12.54/12.77 cnf(matrix-3864, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6868, _u6869) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6868), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6868), _u6869)), _u6869))) )).
% 12.54/12.77 cnf(matrix-3865, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6870), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6870)) )).
% 12.54/12.77 cnf(matrix-3866, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6871))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6871) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-3867, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6873))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6873)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.77 cnf(matrix-3868, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6874))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6874)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6874)) )).
% 12.54/12.77 cnf(matrix-3869, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6875)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6876), _u6875)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6876), _u6875) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6876), _u6875)), _u6875))) )).
% 12.54/12.77 cnf(matrix-3870, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6877)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6878), _u6877)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6878), _u6877) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-3871, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6877)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6878), _u6877)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6878), _u6877) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6878), _u6877)), _u6877))) )).
% 12.54/12.77 cnf(matrix-3872, plain, ( ~hBOOL(hAPP(_u6886, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6888), _u6890))) | ( _u6890 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u6886, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.77 cnf(matrix-3873, plain, ( ~hBOOL(hAPP(_u6886, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6888), _u6890))) | ( _u6890 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6879), _u6890)) | ( _u6888 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6890), _u6880)), _u6879)) | hBOOL(hAPP(_u6886, _u6880)) )).
% 12.54/12.77 cnf(matrix-3874, plain, ( hBOOL(hAPP(_u6887, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6889), _u6891))) | ( _u6891 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem191(_u6891, _u6889, _u6887)), _u6891)) )).
% 12.54/12.77 cnf(matrix-3875, plain, ( hBOOL(hAPP(_u6887, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6889), _u6891))) | ( _u6891 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6889 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6891), skolem190(_u6891, _u6889, _u6887))), skolem191(_u6891, _u6889, _u6887))) )).
% 12.54/12.77 cnf(matrix-3876, plain, ( hBOOL(hAPP(_u6887, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6889), _u6891))) | ( _u6891 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u6887, skolem190(_u6891, _u6889, _u6887))) )).
% 12.54/12.77 cnf(matrix-3877, plain, ( hBOOL(hAPP(_u6887, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6889), _u6891))) | ~hBOOL(hAPP(_u6887, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6891 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.77 cnf(matrix-3878, plain, ( hBOOL(hAPP(_u6887, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6889), _u6891))) | ~hBOOL(hAPP(_u6887, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem191(_u6891, _u6889, _u6887)), _u6891)) )).
% 12.54/12.77 cnf(matrix-3879, plain, ( hBOOL(hAPP(_u6887, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6889), _u6891))) | ~hBOOL(hAPP(_u6887, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6889 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6891), skolem190(_u6891, _u6889, _u6887))), skolem191(_u6891, _u6889, _u6887))) )).
% 12.54/12.77 cnf(matrix-3880, plain, ( hBOOL(hAPP(_u6887, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6889), _u6891))) | ~hBOOL(hAPP(_u6887, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u6887, skolem190(_u6891, _u6889, _u6887))) )).
% 12.54/12.77 cnf(matrix-3881, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6892)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6892), _u6893)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6892, _u6893) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6892), _u6893)) )).
% 12.54/12.77 cnf(matrix-3882, plain, ( ~class_Fields_Ofield__inverse__zero(_u6894) | ~class_Int_Onumber__ring(_u6894) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6894), hAPP(c_Int_Onumber__class_Onumber__of(_u6894), c_Int_OMin)), _u6895) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6894), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6894), c_Groups_Oone__class_Oone(_u6894)), _u6895))) )).
% 12.54/12.77 cnf(matrix-3883, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6896)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), _u6896) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.54/12.77 cnf(matrix-3884, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6897)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6897), _u6898)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6898), _u6897) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6898), _u6897)), _u6897))) )).
% 12.54/12.77 cnf(matrix-3885, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6899)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6899), _u6900)), _u6901)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6901), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6899), hAPP(c_Nat_OSuc, _u6900)))) | ( _u6900 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6901), _u6899)) )).
% 12.54/12.77 cnf(matrix-3886, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6899)) | ( _u6900 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6901), _u6899)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6899), _u6900)), _u6901)) )).
% 12.54/12.77 cnf(matrix-3887, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6899)) | ( _u6900 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6901), _u6899)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6901), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6899), hAPP(c_Nat_OSuc, _u6900)))) )).
% 12.54/12.77 cnf(matrix-3888, plain, ( ~hBOOL(hAPP(_u6907, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6909), _u6911))) | ( _u6911 = 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), _u6911), skolem192(_u6911, _u6909, _u6907))), _u6909)) )).
% 12.54/12.77 cnf(matrix-3889, plain, ( ~hBOOL(hAPP(_u6907, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6909), _u6911))) | ( _u6911 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6909), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6911), hAPP(c_Nat_OSuc, skolem192(_u6911, _u6909, _u6907))))) )).
% 12.54/12.77 cnf(matrix-3890, plain, ( ~hBOOL(hAPP(_u6907, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6909), _u6911))) | ( _u6911 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u6907, skolem192(_u6911, _u6909, _u6907))) )).
% 12.54/12.77 cnf(matrix-3891, plain, ( ~hBOOL(hAPP(_u6907, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6909), _u6911))) | hBOOL(hAPP(_u6907, 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), _u6911), skolem192(_u6911, _u6909, _u6907))), _u6909)) )).
% 12.54/12.77 cnf(matrix-3892, plain, ( ~hBOOL(hAPP(_u6907, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6909), _u6911))) | hBOOL(hAPP(_u6907, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6909), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6911), hAPP(c_Nat_OSuc, skolem192(_u6911, _u6909, _u6907))))) )).
% 12.54/12.77 cnf(matrix-3893, plain, ( ~hBOOL(hAPP(_u6907, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6909), _u6911))) | hBOOL(hAPP(_u6907, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u6907, skolem192(_u6911, _u6909, _u6907))) )).
% 12.54/12.77 cnf(matrix-3894, plain, ( hBOOL(hAPP(_u6908, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6910), _u6912))) | ( _u6912 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u6908, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.77 cnf(matrix-3895, plain, ( hBOOL(hAPP(_u6908, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6910), _u6912))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6912), _u6903)), _u6910)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6910), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6912), hAPP(c_Nat_OSuc, _u6903)))) | ~hBOOL(hAPP(_u6908, _u6903)) )).
% 12.54/12.77 cnf(matrix-3896, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6915) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6917)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6915))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6917)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.77 cnf(matrix-3897, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6915) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6917)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6915))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6917))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6915) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.77 cnf(matrix-3898, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6915) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6917)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6915))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6917))) | ( _u6915 = _u6917) )).
% 12.54/12.77 cnf(matrix-3899, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6916) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6918)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6916))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6918))) | ( _u6916 != _u6918) )).
% 12.54/12.77 cnf(matrix-3900, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6916) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6918)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6916))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6916) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6918))) )).
% 12.54/12.77 cnf(matrix-3901, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6916) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6918)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6916))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6916) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6916 != _u6918) )).
% 12.54/12.77 cnf(matrix-3902, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6916) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6918)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6918)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6916))) )).
% 12.54/12.77 cnf(matrix-3903, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6916) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6918)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6918)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6918))) | ( _u6916 != _u6918) )).
% 12.54/12.77 cnf(matrix-3904, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6916) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6918)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6918)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6916) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6918))) )).
% 12.54/12.77 cnf(matrix-3905, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6916) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6918)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6918)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6916) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6916 != _u6918) )).
% 12.54/12.77 cnf(matrix-3906, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6922))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6922)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6924)), _u6926)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6924)), _u6926)) )).
% 12.54/12.77 cnf(matrix-3907, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6923))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6925))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6923)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6925)), _u6927)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6923)), _u6927)) )).
% 12.54/12.77 cnf(matrix-3908, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6923))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6925))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6923)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6925)), _u6927)) = 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), _u6923), _u6925))), _u6927)) )).
% 12.54/12.77 cnf(matrix-3909, plain, ( ~hBOOL(hAPP(_u6939, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6941, _u6943))) | ( _u6943 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u6939, _u6941)) )).
% 12.54/12.77 cnf(matrix-3910, plain, ( ~hBOOL(hAPP(_u6939, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6941, _u6943))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6943)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6928)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6928), _u6943)) | ( _u6941 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6943), _u6929)), _u6928)) | hBOOL(hAPP(_u6939, _u6928)) )).
% 12.54/12.77 cnf(matrix-3911, plain, ( ~hBOOL(hAPP(_u6939, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6941, _u6943))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6943), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6943), _u6930)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6930), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6941 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6943), _u6931)), _u6930)) | hBOOL(hAPP(_u6939, _u6930)) )).
% 12.54/12.77 cnf(matrix-3912, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6944)) )).
% 12.54/12.77 cnf(matrix-3913, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6944 = 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)), skolem194(_u6944, _u6942, _u6940))) )).
% 12.54/12.77 cnf(matrix-3914, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem194(_u6944, _u6942, _u6940)), _u6944)) )).
% 12.54/12.77 cnf(matrix-3915, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem193(_u6944, _u6942, _u6940))), skolem194(_u6944, _u6942, _u6940))) )).
% 12.54/12.77 cnf(matrix-3916, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6940, skolem194(_u6944, _u6942, _u6940))) )).
% 12.54/12.77 cnf(matrix-3917, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6940, _u6942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6944)) )).
% 12.54/12.77 cnf(matrix-3918, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6940, _u6942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem194(_u6944, _u6942, _u6940))) )).
% 12.54/12.77 cnf(matrix-3919, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6940, _u6942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem194(_u6944, _u6942, _u6940)), _u6944)) )).
% 12.54/12.77 cnf(matrix-3920, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6940, _u6942)) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem193(_u6944, _u6942, _u6940))), skolem194(_u6944, _u6942, _u6940))) )).
% 12.54/12.77 cnf(matrix-3921, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6940, _u6942)) | ~hBOOL(hAPP(_u6940, skolem194(_u6944, _u6942, _u6940))) )).
% 12.54/12.77 cnf(matrix-3922, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), skolem196(_u6944, _u6942, _u6940))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6944)) )).
% 12.54/12.77 cnf(matrix-3923, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), skolem196(_u6944, _u6942, _u6940))) | ( _u6944 = 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)), skolem194(_u6944, _u6942, _u6940))) )).
% 12.54/12.77 cnf(matrix-3924, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), skolem196(_u6944, _u6942, _u6940))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem194(_u6944, _u6942, _u6940)), _u6944)) )).
% 12.54/12.77 cnf(matrix-3925, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), skolem196(_u6944, _u6942, _u6940))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem193(_u6944, _u6942, _u6940))), skolem194(_u6944, _u6942, _u6940))) )).
% 12.54/12.77 cnf(matrix-3926, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), skolem196(_u6944, _u6942, _u6940))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6940, skolem194(_u6944, _u6942, _u6940))) )).
% 12.54/12.77 cnf(matrix-3927, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem196(_u6944, _u6942, _u6940)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6944)) )).
% 12.54/12.77 cnf(matrix-3928, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem196(_u6944, _u6942, _u6940)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6944 = 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)), skolem194(_u6944, _u6942, _u6940))) )).
% 12.54/12.77 cnf(matrix-3929, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem196(_u6944, _u6942, _u6940)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem194(_u6944, _u6942, _u6940)), _u6944)) )).
% 12.54/12.77 cnf(matrix-3930, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem196(_u6944, _u6942, _u6940)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem193(_u6944, _u6942, _u6940))), skolem194(_u6944, _u6942, _u6940))) )).
% 12.54/12.77 cnf(matrix-3931, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem196(_u6944, _u6942, _u6940)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6940, skolem194(_u6944, _u6942, _u6940))) )).
% 12.54/12.77 cnf(matrix-3932, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem195(_u6944, _u6942, _u6940))), skolem196(_u6944, _u6942, _u6940))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6944)) )).
% 12.54/12.77 cnf(matrix-3933, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem195(_u6944, _u6942, _u6940))), skolem196(_u6944, _u6942, _u6940))) | ( _u6944 = 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)), skolem194(_u6944, _u6942, _u6940))) )).
% 12.54/12.77 cnf(matrix-3934, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem195(_u6944, _u6942, _u6940))), skolem196(_u6944, _u6942, _u6940))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem194(_u6944, _u6942, _u6940)), _u6944)) )).
% 12.54/12.77 cnf(matrix-3935, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem195(_u6944, _u6942, _u6940))), skolem196(_u6944, _u6942, _u6940))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem193(_u6944, _u6942, _u6940))), skolem194(_u6944, _u6942, _u6940))) )).
% 12.54/12.77 cnf(matrix-3936, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem195(_u6944, _u6942, _u6940))), skolem196(_u6944, _u6942, _u6940))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6940, skolem194(_u6944, _u6942, _u6940))) )).
% 12.54/12.77 cnf(matrix-3937, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ~hBOOL(hAPP(_u6940, skolem196(_u6944, _u6942, _u6940))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6944)) )).
% 12.54/12.77 cnf(matrix-3938, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ~hBOOL(hAPP(_u6940, skolem196(_u6944, _u6942, _u6940))) | ( _u6944 = 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)), skolem194(_u6944, _u6942, _u6940))) )).
% 12.54/12.77 cnf(matrix-3939, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ~hBOOL(hAPP(_u6940, skolem196(_u6944, _u6942, _u6940))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem194(_u6944, _u6942, _u6940)), _u6944)) )).
% 12.54/12.77 cnf(matrix-3940, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ~hBOOL(hAPP(_u6940, skolem196(_u6944, _u6942, _u6940))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem193(_u6944, _u6942, _u6940))), skolem194(_u6944, _u6942, _u6940))) )).
% 12.54/12.77 cnf(matrix-3941, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ~hBOOL(hAPP(_u6940, skolem196(_u6944, _u6942, _u6940))) | ( _u6944 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6940, skolem194(_u6944, _u6942, _u6940))) )).
% 12.54/12.77 cnf(matrix-3942, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), skolem196(_u6944, _u6942, _u6940))) | ~hBOOL(hAPP(_u6940, _u6942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6944)) )).
% 12.54/12.77 cnf(matrix-3943, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), skolem196(_u6944, _u6942, _u6940))) | ~hBOOL(hAPP(_u6940, _u6942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem194(_u6944, _u6942, _u6940))) )).
% 12.54/12.78 cnf(matrix-3944, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), skolem196(_u6944, _u6942, _u6940))) | ~hBOOL(hAPP(_u6940, _u6942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem194(_u6944, _u6942, _u6940)), _u6944)) )).
% 12.54/12.78 cnf(matrix-3945, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), skolem196(_u6944, _u6942, _u6940))) | ~hBOOL(hAPP(_u6940, _u6942)) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem193(_u6944, _u6942, _u6940))), skolem194(_u6944, _u6942, _u6940))) )).
% 12.54/12.78 cnf(matrix-3946, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6944), skolem196(_u6944, _u6942, _u6940))) | ~hBOOL(hAPP(_u6940, _u6942)) | ~hBOOL(hAPP(_u6940, skolem194(_u6944, _u6942, _u6940))) )).
% 12.54/12.78 cnf(matrix-3947, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem196(_u6944, _u6942, _u6940)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6940, _u6942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6944)) )).
% 12.54/12.78 cnf(matrix-3948, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem196(_u6944, _u6942, _u6940)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6940, _u6942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem194(_u6944, _u6942, _u6940))) )).
% 12.54/12.78 cnf(matrix-3949, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem196(_u6944, _u6942, _u6940)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6940, _u6942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem194(_u6944, _u6942, _u6940)), _u6944)) )).
% 12.54/12.78 cnf(matrix-3950, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem196(_u6944, _u6942, _u6940)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6940, _u6942)) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem193(_u6944, _u6942, _u6940))), skolem194(_u6944, _u6942, _u6940))) )).
% 12.54/12.78 cnf(matrix-3951, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem196(_u6944, _u6942, _u6940)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6940, _u6942)) | ~hBOOL(hAPP(_u6940, skolem194(_u6944, _u6942, _u6940))) )).
% 12.54/12.78 cnf(matrix-3952, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem195(_u6944, _u6942, _u6940))), skolem196(_u6944, _u6942, _u6940))) | ~hBOOL(hAPP(_u6940, _u6942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6944)) )).
% 12.54/12.78 cnf(matrix-3953, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem195(_u6944, _u6942, _u6940))), skolem196(_u6944, _u6942, _u6940))) | ~hBOOL(hAPP(_u6940, _u6942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem194(_u6944, _u6942, _u6940))) )).
% 12.54/12.78 cnf(matrix-3954, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem195(_u6944, _u6942, _u6940))), skolem196(_u6944, _u6942, _u6940))) | ~hBOOL(hAPP(_u6940, _u6942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem194(_u6944, _u6942, _u6940)), _u6944)) )).
% 12.54/12.78 cnf(matrix-3955, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem195(_u6944, _u6942, _u6940))), skolem196(_u6944, _u6942, _u6940))) | ~hBOOL(hAPP(_u6940, _u6942)) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem193(_u6944, _u6942, _u6940))), skolem194(_u6944, _u6942, _u6940))) )).
% 12.54/12.78 cnf(matrix-3956, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem195(_u6944, _u6942, _u6940))), skolem196(_u6944, _u6942, _u6940))) | ~hBOOL(hAPP(_u6940, _u6942)) | ~hBOOL(hAPP(_u6940, skolem194(_u6944, _u6942, _u6940))) )).
% 12.54/12.78 cnf(matrix-3957, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ~hBOOL(hAPP(_u6940, skolem196(_u6944, _u6942, _u6940))) | ~hBOOL(hAPP(_u6940, _u6942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6944)) )).
% 12.54/12.78 cnf(matrix-3958, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ~hBOOL(hAPP(_u6940, skolem196(_u6944, _u6942, _u6940))) | ~hBOOL(hAPP(_u6940, _u6942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem194(_u6944, _u6942, _u6940))) )).
% 12.54/12.78 cnf(matrix-3959, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ~hBOOL(hAPP(_u6940, skolem196(_u6944, _u6942, _u6940))) | ~hBOOL(hAPP(_u6940, _u6942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem194(_u6944, _u6942, _u6940)), _u6944)) )).
% 12.54/12.78 cnf(matrix-3960, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ~hBOOL(hAPP(_u6940, skolem196(_u6944, _u6942, _u6940))) | ~hBOOL(hAPP(_u6940, _u6942)) | ( _u6942 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6944), skolem193(_u6944, _u6942, _u6940))), skolem194(_u6944, _u6942, _u6940))) )).
% 12.54/12.78 cnf(matrix-3961, plain, ( hBOOL(hAPP(_u6940, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6942, _u6944))) | ~hBOOL(hAPP(_u6940, skolem196(_u6944, _u6942, _u6940))) | ~hBOOL(hAPP(_u6940, _u6942)) | ~hBOOL(hAPP(_u6940, skolem194(_u6944, _u6942, _u6940))) )).
% 12.54/12.78 cnf(matrix-3962, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6945)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6946)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6946), _u6947)) | 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), _u6947), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6948, _u6945))), _u6946))) )).
% 12.54/12.78 cnf(matrix-3963, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6949)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6950)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6950), _u6951)) | 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), _u6951), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6952, _u6949))), _u6950)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6951), _u6949))) )).
% 12.54/12.78 cnf(matrix-3964, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6953)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6954), _u6955)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6955), 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), _u6954), _u6953)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6954), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6956, _u6953))), _u6955))) )).
% 12.54/12.78 cnf(matrix-3965, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6957)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6958), _u6959)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6959), 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), _u6958), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6960, _u6957))), _u6959)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-3966, plain, ( ( _u6961 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6962), _u6963)), _u6964)) | ( _u6962 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6961, _u6962) = _u6964) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6962)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6962), _u6964)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6964), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-3967, plain, ( ( _u6961 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6962), _u6963)), _u6964)) | ( _u6962 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6961, _u6962) = _u6964) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6964)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6964), _u6962)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6962)) )).
% 12.54/12.78 cnf(matrix-3968, plain, ( ( _u6961 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6962), _u6963)), _u6964)) | ( _u6962 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6961, _u6962) = _u6964) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6964)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6964), _u6962)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6962), _u6964)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6964), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-3969, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6965)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6966, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6967), _u6965)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6967), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6966), _u6967), _u6965))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6966, _u6967))) )).
% 12.54/12.78 cnf(matrix-3970, plain, ( ( _u6968 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6969, _u6968) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6969), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6968)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6969), _u6968))) )).
% 12.54/12.78 cnf(matrix-3971, plain, ( ( _u6968 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6969, _u6968) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6969), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6968)) = 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), _u6969), _u6968))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-3972, plain, ( ( _u6970 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6971, _u6970) != 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), _u6971)), _u6970) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6971), _u6970))) )).
% 12.54/12.78 cnf(matrix-3973, plain, ( ( _u6970 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6971, _u6970) = 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), _u6971)), _u6970) = 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), _u6971), _u6970))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-3974, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6974)) | ( c_SMT_Oz3mod(_u6976, _u6974) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6976, _u6974)) )).
% 12.54/12.78 cnf(matrix-3975, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6975)) | ( c_SMT_Oz3mod(_u6977, _u6975) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6977, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6975))) )).
% 12.54/12.78 cnf(matrix-3976, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6980))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6980)), _u6982)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u6982)) )).
% 12.54/12.78 cnf(matrix-3977, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6981))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6981)), _u6983)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u6981))), _u6983)) )).
% 12.54/12.78 cnf(matrix-3978, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6985))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6985)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-3979, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6986))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6986)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u6986))) )).
% 12.54/12.78 cnf(matrix-3980, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6987)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6987) = 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, _u6987)))) )).
% 12.54/12.78 cnf(matrix-3981, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6989), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6989 = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem197(_u6989))))) )).
% 12.54/12.78 cnf(matrix-3982, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u6990), _u6991) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6990, _u6991)), _u6991)) )).
% 12.54/12.78 cnf(matrix-3983, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6992), _u6993)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6992, _u6993) = _u6992) )).
% 12.54/12.78 cnf(matrix-3984, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6994), _u6995)), _u6996) = 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), _u6994), _u6996)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6995), _u6996))), 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, _u6994, _u6996)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6995, _u6996))), _u6996))) )).
% 12.54/12.78 cnf(matrix-3985, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6997, _u6998)), _u6997)) )).
% 12.54/12.78 cnf(matrix-3986, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6999, _u7000)), _u7001) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6999), _u7001), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7000), _u7001))) )).
% 12.54/12.78 cnf(matrix-3987, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7002), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7003, _u7004)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7002), _u7003), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7002), _u7004))) )).
% 12.54/12.78 cnf(matrix-3988, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7005)) = _u7005) )).
% 12.54/12.78 cnf(matrix-3989, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7006)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7007)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u7006), hAPP(c_Int_Onat, _u7007)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7006, _u7007))) )).
% 12.54/12.78 cnf(matrix-3990, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7008)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7009)) | ( hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7008, _u7009)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u7008), hAPP(c_Int_Onat, _u7009))) )).
% 12.54/12.78 cnf(matrix-3991, plain, ( ( hAPP(c_Int_Onat, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-3992, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-3993, plain, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7012, _u7014)) != _u7014) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7012), _u7014) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-3994, plain, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7013, _u7015)) = _u7015) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7013), _u7015) = hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7013, _u7015))) )).
% 12.54/12.78 cnf(matrix-3995, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7016, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-3996, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7017)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7018, _u7017)), _u7017)) )).
% 12.54/12.78 cnf(matrix-3997, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7019)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7020)) | ( hAPP(c_Int_Onat, _u7019) != hAPP(c_Int_Onat, _u7020)) | ( _u7019 = _u7020) )).
% 12.54/12.78 cnf(matrix-3998, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7019)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7020)) | ( _u7019 != _u7020) | ( hAPP(c_Int_Onat, _u7019) = hAPP(c_Int_Onat, _u7020)) )).
% 12.54/12.78 cnf(matrix-3999, plain, ( ~hBOOL(hAPP(_u7026, _u7021)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem198(_u7026))) )).
% 12.54/12.78 cnf(matrix-4000, plain, ( ~hBOOL(hAPP(_u7026, _u7021)) | hBOOL(hAPP(_u7026, hAPP(c_Int_Onat, skolem198(_u7026)))) )).
% 12.54/12.78 cnf(matrix-4001, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7023)) | ~hBOOL(hAPP(_u7027, hAPP(c_Int_Onat, _u7023))) | hBOOL(hAPP(_u7027, skolem199(_u7027))) )).
% 12.54/12.78 cnf(matrix-4002, plain, ( ~hBOOL(hAPP(_u7033, skolem200(_u7033))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7029)) | hBOOL(hAPP(_u7033, hAPP(c_Int_Onat, _u7029))) )).
% 12.54/12.78 cnf(matrix-4003, plain, ( hBOOL(hAPP(_u7034, _u7031)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem201(_u7034))) )).
% 12.54/12.78 cnf(matrix-4004, plain, ( hBOOL(hAPP(_u7034, _u7031)) | ~hBOOL(hAPP(_u7034, hAPP(c_Int_Onat, skolem201(_u7034)))) )).
% 12.54/12.78 cnf(matrix-4005, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7035)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7036)) | ( hAPP(c_Int_Onat, _u7035) != hAPP(c_Int_Onat, _u7036)) | ( _u7035 = _u7036) )).
% 12.54/12.78 cnf(matrix-4006, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7035)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7036)) | ( _u7035 != _u7036) | ( hAPP(c_Int_Onat, _u7035) = hAPP(c_Int_Onat, _u7036)) )).
% 12.54/12.78 cnf(matrix-4007, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7041, _u7043) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7041 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7043), skolem202(_u7043, _u7041))) )).
% 12.54/12.78 cnf(matrix-4008, plain, ( ( _u7042 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7044), _u7038)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7042, _u7044) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-4009, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7045), _u7046)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7045, _u7046) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7045), _u7046), _u7046)) )).
% 12.54/12.78 cnf(matrix-4010, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7049), _u7051)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7049, _u7051) = _u7049) )).
% 12.54/12.78 cnf(matrix-4011, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7050), _u7052)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7050, _u7052) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7050), _u7052), _u7052)) )).
% 12.54/12.78 cnf(matrix-4012, 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), _u7053), _u7054)), _u7055), _u7054) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7055, _u7054)) )).
% 12.54/12.78 cnf(matrix-4013, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7056, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7057), _u7058)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7057), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7056), _u7057), _u7058))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7056, _u7057))) )).
% 12.54/12.78 cnf(matrix-4014, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7059), _u7060)), _u7061) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7059), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7060), _u7061))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7059), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7060, _u7061))), _u7061))) )).
% 12.54/12.78 cnf(matrix-4015, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7062), _u7063)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7063, _u7062) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7063), _u7062), _u7062)) )).
% 12.54/12.78 cnf(matrix-4016, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7064) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7064))) )).
% 12.54/12.78 cnf(matrix-4017, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7065)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7065)) )).
% 12.54/12.78 cnf(matrix-4018, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7066), _u7067)), _u7067) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7066), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7066, _u7067))) )).
% 12.54/12.78 cnf(matrix-4019, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7068), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7069), _u7068)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7069), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7069, _u7068))) )).
% 12.54/12.78 cnf(matrix-4020, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7070, _u7071) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7070), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7070), _u7071)), _u7071))) )).
% 12.54/12.78 cnf(matrix-4021, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-4022, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7072, _u7073)) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7072), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7073))) )).
% 12.54/12.78 cnf(matrix-4023, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7074), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7075)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7074, _u7075))) )).
% 12.54/12.78 cnf(matrix-4024, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u7076)) | ( hAPP(c_Int_Onat, _u7076) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-4025, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u7077)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u7077)) = _u7077) )).
% 12.54/12.78 cnf(matrix-4026, 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)), _u7078)) = _u7078) )).
% 12.54/12.78 cnf(matrix-4027, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u7079), _u7080) = 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)), _u7079)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7080)))) )).
% 12.54/12.78 cnf(matrix-4028, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7083))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7083), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7085)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-4029, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7084))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7086))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7084), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7086)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7084)) )).
% 12.54/12.78 cnf(matrix-4030, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7084))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7086))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7084), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7086)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7084), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7086)))) )).
% 12.54/12.78 cnf(matrix-4031, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool)))) )).
% 12.54/12.78 cnf(matrix-4032, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7087), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u7087) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-4033, plain, ( ( hAPP(c_Int_Onat, _u7089) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7089), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-4034, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7090), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u7090) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-4035, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7091)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7092)), hAPP(c_Int_Onat, _u7091))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7092), _u7091)) )).
% 12.54/12.78 cnf(matrix-4036, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7091)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7092), _u7091)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7092)), hAPP(c_Int_Onat, _u7091))) )).
% 12.54/12.78 cnf(matrix-4037, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7095)), hAPP(c_Int_Onat, _u7097))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7097)) )).
% 12.54/12.78 cnf(matrix-4038, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7095)), hAPP(c_Int_Onat, _u7097))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7095), _u7097)) )).
% 12.54/12.78 cnf(matrix-4039, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7098)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7096), _u7098)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7096)), hAPP(c_Int_Onat, _u7098))) )).
% 12.54/12.78 cnf(matrix-4040, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7099)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7100, _u7099)), _u7099)) )).
% 12.54/12.78 cnf(matrix-4041, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7101)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7102)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u7101)), hAPP(c_Int_Onat, _u7102))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7101), _u7102)) )).
% 12.54/12.78 cnf(matrix-4042, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7101)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7102)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7101), _u7102)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u7101)), hAPP(c_Int_Onat, _u7102))) )).
% 12.54/12.78 cnf(matrix-4043, plain, ( ( hAPP(c_Int_Onat, c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.78 cnf(matrix-4044, 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), _u7103), _u7104)), _u7105)), _u7104) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7105), _u7104)) )).
% 12.54/12.78 cnf(matrix-4045, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7107)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u7107)) = _u7107) )).
% 12.54/12.78 cnf(matrix-4046, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7108)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u7108)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.78 cnf(matrix-4047, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7111) != _u7113) | ( _u7111 = hAPP(c_Int_Onat, _u7113)) )).
% 12.54/12.78 cnf(matrix-4048, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7111) != _u7113) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7113)) )).
% 12.54/12.78 cnf(matrix-4049, plain, ( ( _u7112 != hAPP(c_Int_Onat, _u7114)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7114)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7112) = _u7114) )).
% 12.54/12.78 cnf(matrix-4050, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7115)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u7115)) = _u7115) )).
% 12.54/12.78 cnf(matrix-4051, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7118), hAPP(c_Int_Onat, _u7120))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7118)), _u7120)) )).
% 12.54/12.78 cnf(matrix-4052, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7119)), _u7121)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7119), hAPP(c_Int_Onat, _u7121))) )).
% 12.54/12.78 cnf(matrix-4053, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7122)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7123)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u7122)), hAPP(c_Int_Onat, _u7123)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7122), _u7123))) )).
% 12.54/12.78 cnf(matrix-4054, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7124)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7124), _u7125)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u7124)), hAPP(c_Int_Onat, _u7125))) )).
% 12.54/12.78 cnf(matrix-4055, 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), _u7126))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-4056, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7127, _u7128) = 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), _u7127), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7128)))) )).
% 12.54/12.78 cnf(matrix-4057, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7130))) | ( 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), _u7130)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.78 cnf(matrix-4058, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7131))) | ( 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), _u7131)) = 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), _u7131)))) )).
% 12.54/12.78 cnf(matrix-4059, plain, ( ( c_Int_Osucc(_u7132) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7132), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-4060, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7133), c_Int_OMin) = c_Int_Osucc(_u7133)) )).
% 12.54/12.78 cnf(matrix-4061, 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)), _u7134)) = hAPP(c_Int_Onat, _u7134)) )).
% 12.54/12.78 cnf(matrix-4062, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u7135), _u7136)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7136), _u7135))) )).
% 12.54/12.78 cnf(matrix-4063, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u7138))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7138)) )).
% 12.54/12.78 cnf(matrix-4064, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7139)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u7139))) )).
% 12.54/12.78 cnf(matrix-4065, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7140)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7140)), hAPP(c_Int_Onat, _u7141))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7140), _u7141)) )).
% 12.54/12.78 cnf(matrix-4066, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7140)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7140), _u7141)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7140)), hAPP(c_Int_Onat, _u7141))) )).
% 12.54/12.78 cnf(matrix-4067, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7142)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7143)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7142)), hAPP(c_Int_Onat, _u7143))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7142), _u7143)) )).
% 12.54/12.78 cnf(matrix-4068, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7142)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7143)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7142), _u7143)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7142)), hAPP(c_Int_Onat, _u7143))) )).
% 12.54/12.78 cnf(matrix-4069, plain, ( ( hAPP(c_Int_Onat, _u7146) != _u7148) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7146)) | ( _u7146 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7148)) )).
% 12.54/12.78 cnf(matrix-4070, plain, ( ( hAPP(c_Int_Onat, _u7146) != _u7148) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7146)) | ( _u7148 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-4071, plain, ( ( hAPP(c_Int_Onat, _u7147) = _u7149) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7147)) | ( _u7149 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-4072, plain, ( ( hAPP(c_Int_Onat, _u7147) = _u7149) | ( _u7147 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7149)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7147)) )).
% 12.54/12.78 cnf(matrix-4073, plain, ( ( hAPP(c_Int_Onat, _u7147) = _u7149) | ( _u7147 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7149)) | ( _u7149 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-4074, plain, ( ( _u7152 != hAPP(c_Int_Onat, _u7154)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7154)) | ( _u7154 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7152)) )).
% 12.54/12.78 cnf(matrix-4075, plain, ( ( _u7152 != hAPP(c_Int_Onat, _u7154)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7154)) | ( _u7152 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-4076, plain, ( ( _u7153 = hAPP(c_Int_Onat, _u7155)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7155)) | ( _u7153 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-4077, plain, ( ( _u7153 = hAPP(c_Int_Onat, _u7155)) | ( _u7155 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7153)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7155)) )).
% 12.54/12.78 cnf(matrix-4078, plain, ( ( _u7153 = hAPP(c_Int_Onat, _u7155)) | ( _u7155 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7153)) | ( _u7153 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-4079, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7156)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u7156)), hAPP(c_Int_Onat, _u7157))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7156), _u7157)) )).
% 12.54/12.78 cnf(matrix-4080, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7156)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7156), _u7157)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u7156)), hAPP(c_Int_Onat, _u7157))) )).
% 12.54/12.78 cnf(matrix-4081, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7157)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u7156)), hAPP(c_Int_Onat, _u7157))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7156), _u7157)) )).
% 12.54/12.78 cnf(matrix-4082, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7157)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7156), _u7157)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u7156)), hAPP(c_Int_Onat, _u7157))) )).
% 12.54/12.78 cnf(matrix-4083, plain, ( ~hBOOL(hAPP(_u7162, hAPP(c_Int_Onat, _u7164))) | ( _u7164 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7158)) | hBOOL(hAPP(_u7162, _u7158)) )).
% 12.54/12.78 cnf(matrix-4084, plain, ( ~hBOOL(hAPP(_u7162, hAPP(c_Int_Onat, _u7164))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7164), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(_u7162, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.78 cnf(matrix-4085, plain, ( hBOOL(hAPP(_u7163, hAPP(c_Int_Onat, _u7165))) | ( _u7165 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem203(_u7165, _u7163))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7165), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-4086, plain, ( hBOOL(hAPP(_u7163, hAPP(c_Int_Onat, _u7165))) | ( _u7165 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem203(_u7165, _u7163))) | ~hBOOL(hAPP(_u7163, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.78 cnf(matrix-4087, plain, ( hBOOL(hAPP(_u7163, hAPP(c_Int_Onat, _u7165))) | ~hBOOL(hAPP(_u7163, skolem203(_u7165, _u7163))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7165), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-4088, plain, ( hBOOL(hAPP(_u7163, hAPP(c_Int_Onat, _u7165))) | ~hBOOL(hAPP(_u7163, skolem203(_u7165, _u7163))) | ~hBOOL(hAPP(_u7163, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.78 cnf(matrix-4089, plain, ( ~hBOOL(hAPP(_u7173, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7175, _u7177))) | ( _u7177 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u7173, _u7175)) )).
% 12.54/12.78 cnf(matrix-4090, plain, ( ~hBOOL(hAPP(_u7173, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7175, _u7177))) | ( _u7177 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7166), _u7177)) | ( _u7175 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7177), _u7167)), _u7166)) | hBOOL(hAPP(_u7173, _u7166)) )).
% 12.54/12.78 cnf(matrix-4091, plain, ( hBOOL(hAPP(_u7174, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7176, _u7178))) | ( _u7178 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem205(_u7178, _u7176, _u7174)), _u7178)) )).
% 12.54/12.78 cnf(matrix-4092, plain, ( hBOOL(hAPP(_u7174, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7176, _u7178))) | ( _u7178 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7176 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7178), skolem204(_u7178, _u7176, _u7174))), skolem205(_u7178, _u7176, _u7174))) )).
% 12.54/12.78 cnf(matrix-4093, plain, ( hBOOL(hAPP(_u7174, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7176, _u7178))) | ( _u7178 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u7174, skolem205(_u7178, _u7176, _u7174))) )).
% 12.54/12.78 cnf(matrix-4094, plain, ( hBOOL(hAPP(_u7174, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7176, _u7178))) | ~hBOOL(hAPP(_u7174, _u7176)) | ( _u7178 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-4095, plain, ( hBOOL(hAPP(_u7174, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7176, _u7178))) | ~hBOOL(hAPP(_u7174, _u7176)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem205(_u7178, _u7176, _u7174)), _u7178)) )).
% 12.54/12.78 cnf(matrix-4096, plain, ( hBOOL(hAPP(_u7174, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7176, _u7178))) | ~hBOOL(hAPP(_u7174, _u7176)) | ( _u7176 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7178), skolem204(_u7178, _u7176, _u7174))), skolem205(_u7178, _u7176, _u7174))) )).
% 12.54/12.78 cnf(matrix-4097, plain, ( hBOOL(hAPP(_u7174, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7176, _u7178))) | ~hBOOL(hAPP(_u7174, _u7176)) | ~hBOOL(hAPP(_u7174, skolem205(_u7178, _u7176, _u7174))) )).
% 12.54/12.78 cnf(matrix-4098, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7180), _u7181)) | 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), _u7181), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7182, _u7179))), _u7180)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7181), _u7179))) )).
% 12.54/12.78 cnf(matrix-4099, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7183)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7184)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7183), _u7184)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u7183)), hAPP(c_Int_Onat, _u7184))) )).
% 12.54/12.78 cnf(matrix-4100, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7185)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7186)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u7185)), hAPP(c_Int_Onat, _u7186)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7185), _u7186))) )).
% 12.54/12.78 cnf(matrix-4101, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7189) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7191)) | ( _u7189 = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7191))) )).
% 12.54/12.78 cnf(matrix-4102, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7189) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7191)) | 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), _u7191))) )).
% 12.54/12.78 cnf(matrix-4103, plain, ( ( _u7190 != hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7192))) | ~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), _u7192))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7190) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7192)) )).
% 12.54/12.78 cnf(matrix-4104, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7193)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7193), _u7194)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u7193)), hAPP(c_Int_Onat, _u7194))) )).
% 12.54/12.78 cnf(matrix-4105, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7196)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u7195)), hAPP(c_Int_Onat, _u7196)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7195), _u7196))) )).
% 12.54/12.78 cnf(matrix-4106, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u7197), _u7198) = 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)), _u7197)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7198)))) )).
% 12.54/12.78 cnf(matrix-4107, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7199)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7199), _u7200)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7200), _u7199)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u7200)), hAPP(c_Int_Onat, _u7199))) )).
% 12.54/12.78 cnf(matrix-4108, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u7201)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7201), _u7202)), _u7201) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-4109, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u7203, _u7204)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7204), _u7203))) )).
% 12.54/12.78 cnf(matrix-4110, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7205)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u7205)), _u7206) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u7205), _u7206))) )).
% 12.54/12.78 cnf(matrix-4111, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7207)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u7207), _u7208)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u7207)), _u7208)) )).
% 12.54/12.78 cnf(matrix-4112, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u7209) = 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), _u7209)))) )).
% 12.54/12.78 cnf(matrix-4113, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7210)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7211)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u7210)), hAPP(c_Int_Onat, _u7211)) = hAPP(c_Int_Onat, c_Nat__Transfer_Otsub(_u7210, _u7211))) )).
% 12.54/12.78 cnf(matrix-4114, 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, _u7213))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u7213)) )).
% 12.54/12.78 cnf(matrix-4115, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u7214)) | 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, _u7214))) )).
% 12.54/12.78 cnf(matrix-4116, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7215)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7215)), _u7216)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7215), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7216))) )).
% 12.54/12.78 cnf(matrix-4117, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7215)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7215), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7216))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7215)), _u7216)) )).
% 12.54/12.78 cnf(matrix-4118, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7217)) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onat, _u7217)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u7217))) )).
% 12.54/12.78 cnf(matrix-4119, plain, ( ~class_Int_Onumber__ring(_u7218) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u7218), c_Int_Osucc(_u7219)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7218), c_Groups_Oone__class_Oone(_u7218)), hAPP(c_Int_Onumber__class_Onumber__of(_u7218), _u7219))) )).
% 12.54/12.78 cnf(matrix-4120, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7220), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7220), _u7221)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7220))), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7221)))) )).
% 12.54/12.78 cnf(matrix-4121, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7224))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7224)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7226)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-4122, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7225))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7225)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7227)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7225)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7227)))) )).
% 12.54/12.78 cnf(matrix-4123, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u7228, _u7229)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7229), _u7228)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.54/12.78 cnf(matrix-4124, 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), _u7230)) = 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), _u7230)))) )).
% 12.54/12.78 cnf(matrix-4125, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u7231, _u7232)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7232), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7231), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.54/12.78 cnf(matrix-4126, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7235))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7235)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7237)) = 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), _u7237))) )).
% 12.54/12.78 cnf(matrix-4127, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7236))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7236)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7238)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7236)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7238)))) )).
% 12.54/12.78 cnf(matrix-4128, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7241))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7241)), _u7243) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7243)) )).
% 12.54/12.78 cnf(matrix-4129, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7242))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7242)), _u7244) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7242)), _u7244))) )).
% 12.54/12.78 cnf(matrix-4130, plain, ( ( c_Int_Onat__aux(_u7245, _u7246) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u7245)), _u7246)) )).
% 12.54/12.78 cnf(matrix-4131, plain, ( c_Nat__Transfer_Otransfer__morphism(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-4132, plain, ( ~c_Nat__Transfer_Ois__nat(_u7247) | ~c_Nat__Transfer_Ois__nat(_u7248) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u7247, _u7248) = 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, _u7247), hAPP(c_Int_Onat, _u7248)))) )).
% 12.54/12.78 cnf(matrix-4133, plain, ( ~class_Rings_Oring__1(_u7249) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7250), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7249), _u7250) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7249), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7249), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7250))))) )).
% 12.54/12.78 cnf(matrix-4134, plain, ( ~class_Rings_Oring__1(_u7249) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7250), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7249), _u7250) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7249), hAPP(c_Int_Onat, _u7250))) )).
% 12.54/12.78 cnf(matrix-4135, plain, ( ~c_Nat__Transfer_Onat__set(_u7251) | ~c_Nat__Transfer_Onat__set(_u7252) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7251), _u7252) = 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), _u7251)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7252)))) )).
% 12.54/12.78 cnf(matrix-4136, plain, ( ~c_Nat__Transfer_Ois__nat(_u7253) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u7253, _u7254)) )).
% 12.54/12.78 cnf(matrix-4137, plain, ( ~class_Int_Oring__char__0(_u7255) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7255), _u7256) != hAPP(c_Int_Oring__1__class_Oof__int(_u7255), _u7257)) | ( _u7256 = _u7257) )).
% 12.54/12.78 cnf(matrix-4138, plain, ( ~class_Int_Oring__char__0(_u7255) | ( _u7256 != _u7257) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7255), _u7256) = hAPP(c_Int_Oring__1__class_Oof__int(_u7255), _u7257)) )).
% 12.54/12.78 cnf(matrix-4139, plain, ( ~c_Nat__Transfer_Onat__set(_u7258) | ~c_Nat__Transfer_Onat__set(_u7259) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7258), _u7259)) )).
% 12.54/12.78 cnf(matrix-4140, plain, ( ~c_Nat__Transfer_Onat__set(_u7260) | ~c_Nat__Transfer_Onat__set(_u7261) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7260), _u7261)) )).
% 12.54/12.78 cnf(matrix-4141, plain, ( ~c_Nat__Transfer_Onat__set(_u7262) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7263), _u7262)) | c_Nat__Transfer_Ois__nat(_u7263) )).
% 12.54/12.78 cnf(matrix-4142, plain, ( ~class_Int_Onumber__ring(_u7264) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u7264), _u7265) = hAPP(c_Int_Oring__1__class_Oof__int(_u7264), _u7265)) )).
% 12.54/12.78 cnf(matrix-4143, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7266) = hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), _u7266)) )).
% 12.54/12.78 cnf(matrix-4144, plain, ( ( hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7267)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7267)) )).
% 12.54/12.78 cnf(matrix-4145, plain, ( ~c_Nat__Transfer_Onat__set(_u7268) | ~c_Nat__Transfer_Onat__set(_u7269) | ( _u7268 != _u7269) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7268) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7269)) )).
% 12.54/12.78 cnf(matrix-4146, plain, ( ~c_Nat__Transfer_Onat__set(_u7268) | ~c_Nat__Transfer_Onat__set(_u7269) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7268) != hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7269)) | ( _u7268 = _u7269) )).
% 12.54/12.78 cnf(matrix-4147, plain, ( c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.78 cnf(matrix-4148, plain, ( ~c_Nat__Transfer_Ois__nat(_u7270) | ~c_Nat__Transfer_Ois__nat(_u7271) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7270), _u7271)) )).
% 12.54/12.78 cnf(matrix-4149, plain, ( c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7272)) )).
% 12.54/12.78 cnf(matrix-4150, plain, ( c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.54/12.78 cnf(matrix-4151, plain, ( ~c_Nat__Transfer_Ois__nat(_u7273) | ~c_Nat__Transfer_Ois__nat(_u7274) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7273), _u7274)) )).
% 12.54/12.78 cnf(matrix-4152, plain, ( ~c_Nat__Transfer_Ois__nat(_u7275) | ~c_Nat__Transfer_Ois__nat(_u7276) | c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7275, _u7276)) )).
% 12.54/12.78 cnf(matrix-4153, plain, ( ~c_Nat__Transfer_Ois__nat(_u7277) | ~c_Nat__Transfer_Ois__nat(_u7278) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7277), _u7278)) )).
% 12.54/12.78 cnf(matrix-4154, plain, ( ~c_Nat__Transfer_Ois__nat(_u7279) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u7279), _u7280)) )).
% 12.54/12.78 cnf(matrix-4155, plain, ( ~c_Nat__Transfer_Ois__nat(_u7281) | ~c_Nat__Transfer_Ois__nat(_u7282) | c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(_u7281, _u7282)) )).
% 12.54/12.78 cnf(matrix-4156, plain, ( ~c_Nat__Transfer_Ois__nat(_u7283) | ~c_Nat__Transfer_Onat__set(_u7284) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7283), _u7284)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u7283)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7284))) )).
% 12.54/12.78 cnf(matrix-4157, plain, ( ~c_Nat__Transfer_Ois__nat(_u7283) | ~c_Nat__Transfer_Onat__set(_u7284) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u7283)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7284))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7283), _u7284)) )).
% 12.54/12.78 cnf(matrix-4158, plain, ( ~class_Int_Oring__char__0(_u7285) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7285), _u7286) != c_Groups_Ozero__class_Ozero(_u7285)) | ( _u7286 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.78 cnf(matrix-4159, plain, ( ~class_Int_Oring__char__0(_u7285) | ( _u7286 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7285), _u7286) = c_Groups_Ozero__class_Ozero(_u7285)) )).
% 12.54/12.78 cnf(matrix-4160, plain, ( ~class_Int_Oring__char__0(_u7287) | ( c_Groups_Ozero__class_Ozero(_u7287) != hAPP(c_Int_Oring__1__class_Oof__int(_u7287), _u7288)) | ( _u7288 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.78 cnf(matrix-4161, plain, ( ~class_Int_Oring__char__0(_u7287) | ( _u7288 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Ozero__class_Ozero(_u7287) = hAPP(c_Int_Oring__1__class_Oof__int(_u7287), _u7288)) )).
% 12.54/12.78 cnf(matrix-4162, plain, ( ~class_Rings_Oring__1(_u7289) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7289), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(_u7289)) )).
% 12.54/12.78 cnf(matrix-4163, plain, ( c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-4164, plain, ( ~class_Rings_Olinordered__idom(_u7290) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7290), hAPP(c_Int_Oring__1__class_Oof__int(_u7290), _u7291)), hAPP(c_Int_Oring__1__class_Oof__int(_u7290), _u7292))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7291), _u7292)) )).
% 12.54/12.78 cnf(matrix-4165, plain, ( ~class_Rings_Olinordered__idom(_u7290) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7291), _u7292)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7290), hAPP(c_Int_Oring__1__class_Oof__int(_u7290), _u7291)), hAPP(c_Int_Oring__1__class_Oof__int(_u7290), _u7292))) )).
% 12.54/12.78 cnf(matrix-4166, plain, ( ~class_Rings_Olinordered__idom(_u7293) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7293), hAPP(c_Int_Oring__1__class_Oof__int(_u7293), _u7294)), hAPP(c_Int_Oring__1__class_Oof__int(_u7293), _u7295))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7294), _u7295)) )).
% 12.54/12.78 cnf(matrix-4167, plain, ( ~class_Rings_Olinordered__idom(_u7293) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7294), _u7295)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7293), hAPP(c_Int_Oring__1__class_Oof__int(_u7293), _u7294)), hAPP(c_Int_Oring__1__class_Oof__int(_u7293), _u7295))) )).
% 12.54/12.78 cnf(matrix-4168, plain, ( ~class_Rings_Oring__1(_u7296) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7296), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7297), _u7298)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7296), hAPP(c_Int_Oring__1__class_Oof__int(_u7296), _u7297)), hAPP(c_Int_Oring__1__class_Oof__int(_u7296), _u7298))) )).
% 12.54/12.78 cnf(matrix-4169, plain, ( ~class_Int_Onumber__ring(_u7299) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7299), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7300)) = hAPP(c_Int_Onumber__class_Onumber__of(_u7299), _u7300)) )).
% 12.54/12.78 cnf(matrix-4170, plain, ( ~class_Rings_Oring__1(_u7301) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7301), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7302), _u7303)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7301), hAPP(c_Int_Oring__1__class_Oof__int(_u7301), _u7302)), hAPP(c_Int_Oring__1__class_Oof__int(_u7301), _u7303))) )).
% 12.54/12.78 cnf(matrix-4171, plain, ( ~class_Rings_Oring__1(_u7304) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7304), c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(_u7304)) )).
% 12.54/12.78 cnf(matrix-4172, plain, ( ~class_Rings_Oring__1(_u7305) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7305), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7306), _u7307)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7305), hAPP(c_Int_Oring__1__class_Oof__int(_u7305), _u7306)), hAPP(c_Int_Oring__1__class_Oof__int(_u7305), _u7307))) )).
% 12.54/12.78 cnf(matrix-4173, plain, ( ~class_Rings_Oring__1(_u7308) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7308), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7309)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7308), _u7309)) )).
% 12.54/12.78 cnf(matrix-4174, plain, ( ~class_Rings_Oring__1(_u7310) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7310), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7311)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7310), hAPP(c_Int_Oring__1__class_Oof__int(_u7310), _u7311))) )).
% 12.54/12.78 cnf(matrix-4175, plain, ( ~class_Rings_Oring__1(_u7312) | hBOOL(hAPP(hAPP(c_member(_u7312), hAPP(c_Int_Oring__1__class_Oof__int(_u7312), _u7313)), c_Int_Oring__1__class_OInts(_u7312))) )).
% 12.54/12.78 cnf(matrix-4176, plain, ( ~class_Rings_Oring__1(_u7314) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7314), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u7315), _u7316)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u7314), hAPP(c_Int_Oring__1__class_Oof__int(_u7314), _u7315)), _u7316)) )).
% 12.54/12.78 cnf(matrix-4177, plain, ( ~c_Nat__Transfer_Onat__set(_u7320) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7317), _u7320)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7317)) )).
% 12.54/12.78 cnf(matrix-4178, plain, ( c_Nat__Transfer_Onat__set(_u7321) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem206(_u7321)), _u7321)) )).
% 12.54/12.78 cnf(matrix-4179, plain, ( c_Nat__Transfer_Onat__set(_u7321) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem206(_u7321))) )).
% 12.54/12.78 cnf(matrix-4180, plain, ( ~c_Nat__Transfer_Ois__nat(_u7323) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7323)) )).
% 12.54/12.78 cnf(matrix-4181, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7324)) | c_Nat__Transfer_Ois__nat(_u7324) )).
% 12.54/12.78 cnf(matrix-4182, 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)), _u7325)) )).
% 12.54/12.78 cnf(matrix-4183, plain, ( ~class_Int_Onumber__ring(_u7326) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7326), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Int_Onumber__class_Onumber__of(_u7326), c_Int_OMin)) )).
% 12.54/12.78 cnf(matrix-4184, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7327)) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u7327, _u7328)) )).
% 12.54/12.78 cnf(matrix-4185, plain, ( ~c_Nat__Transfer_Onat__set(_u7329) | ~c_Nat__Transfer_Onat__set(_u7330) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7329), _u7330) = 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), _u7329)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7330)))) )).
% 12.54/12.78 cnf(matrix-4186, plain, ( ~c_Nat__Transfer_Onat__set(_u7331) | ( 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), _u7331)) = _u7331) )).
% 12.54/12.78 cnf(matrix-4187, plain, ( ~c_Nat__Transfer_Onat__set(_u7332) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7333), _u7332)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7333)) )).
% 12.54/12.78 cnf(matrix-4188, plain, ( ~class_Rings_Olinordered__idom(_u7334) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7334), c_Groups_Ozero__class_Ozero(_u7334)), hAPP(c_Int_Oring__1__class_Oof__int(_u7334), _u7335))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7335)) )).
% 12.54/12.78 cnf(matrix-4189, plain, ( ~class_Rings_Olinordered__idom(_u7334) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7335)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7334), c_Groups_Ozero__class_Ozero(_u7334)), hAPP(c_Int_Oring__1__class_Oof__int(_u7334), _u7335))) )).
% 12.54/12.78 cnf(matrix-4190, plain, ( ~class_Rings_Olinordered__idom(_u7336) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7336), hAPP(c_Int_Oring__1__class_Oof__int(_u7336), _u7337)), c_Groups_Ozero__class_Ozero(_u7336))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7337), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-4191, plain, ( ~class_Rings_Olinordered__idom(_u7336) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7337), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7336), hAPP(c_Int_Oring__1__class_Oof__int(_u7336), _u7337)), c_Groups_Ozero__class_Ozero(_u7336))) )).
% 12.54/12.78 cnf(matrix-4192, plain, ( ~class_Rings_Olinordered__idom(_u7338) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7338), c_Groups_Ozero__class_Ozero(_u7338)), hAPP(c_Int_Oring__1__class_Oof__int(_u7338), _u7339))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7339)) )).
% 12.54/12.78 cnf(matrix-4193, plain, ( ~class_Rings_Olinordered__idom(_u7338) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7339)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7338), c_Groups_Ozero__class_Ozero(_u7338)), hAPP(c_Int_Oring__1__class_Oof__int(_u7338), _u7339))) )).
% 12.54/12.78 cnf(matrix-4194, plain, ( ~class_Rings_Olinordered__idom(_u7340) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7340), hAPP(c_Int_Oring__1__class_Oof__int(_u7340), _u7341)), c_Groups_Ozero__class_Ozero(_u7340))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7341), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-4195, plain, ( ~class_Rings_Olinordered__idom(_u7340) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7341), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7340), hAPP(c_Int_Oring__1__class_Oof__int(_u7340), _u7341)), c_Groups_Ozero__class_Ozero(_u7340))) )).
% 12.54/12.78 cnf(matrix-4196, plain, ( ~class_Rings_Oring__1(_u7342) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7343)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7342), hAPP(c_Int_Onat, _u7343)) = hAPP(c_Int_Oring__1__class_Oof__int(_u7342), _u7343)) )).
% 12.54/12.78 cnf(matrix-4197, plain, ( ~c_Nat__Transfer_Onat__set(_u7344) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u7344)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7344))) )).
% 12.54/12.78 cnf(matrix-4198, plain, ( ~c_Nat__Transfer_Onat__set(_u7344) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7344))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u7344)) )).
% 12.54/12.78 cnf(matrix-4199, plain, ( ~c_Nat__Transfer_Onat__set(_u7345) | ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), _u7345) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7345))) )).
% 12.54/12.78 cnf(matrix-4200, plain, ( ~c_Nat__Transfer_Onat__set(_u7346) | ~c_Nat__Transfer_Onat__set(_u7347) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7346), _u7347)) | 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), _u7346)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7347))) )).
% 12.54/12.78 cnf(matrix-4201, plain, ( ~c_Nat__Transfer_Onat__set(_u7346) | ~c_Nat__Transfer_Onat__set(_u7347) | ~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), _u7346)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7347))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7346), _u7347)) )).
% 12.54/12.78 cnf(matrix-4202, plain, ( ~c_Nat__Transfer_Onat__set(_u7348) | ~c_Nat__Transfer_Onat__set(_u7349) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7348), _u7349)) | 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), _u7348)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7349))) )).
% 12.54/12.78 cnf(matrix-4203, plain, ( ~c_Nat__Transfer_Onat__set(_u7348) | ~c_Nat__Transfer_Onat__set(_u7349) | ~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), _u7348)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7349))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7348), _u7349)) )).
% 12.54/12.78 cnf(matrix-4204, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7351)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem207(_u7351))) )).
% 12.54/12.78 cnf(matrix-4205, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7351)) | ( _u7351 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem207(_u7351))) )).
% 12.54/12.78 cnf(matrix-4206, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7352)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7353), 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), _u7353), _u7354))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7352))), _u7354)) )).
% 12.54/12.78 cnf(matrix-4207, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7355)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7356), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7357), 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), _u7357), _u7356))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7355)))) )).
% 12.54/12.78 cnf(matrix-4208, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7359), 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), _u7359)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-4209, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7360), 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), _u7360)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u7360))) )).
% 12.54/12.78 cnf(matrix-4210, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7362), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7362)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-4211, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7363), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7363)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u7363))) )).
% 12.54/12.78 cnf(matrix-4212, plain, ( ( c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.78 cnf(matrix-4213, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 12.54/12.78 cnf(matrix-4214, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7364) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7364), _u7365), hAPP(c_Groups_Oabs__class_Oabs(_u7364), _u7365))) )).
% 12.54/12.78 cnf(matrix-4215, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7366) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7366), hAPP(c_Groups_Oabs__class_Oabs(_u7366), _u7367)), _u7368)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7366), _u7367), _u7368)) )).
% 12.54/12.78 cnf(matrix-4216, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7369) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7369), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7369), hAPP(c_Groups_Oabs__class_Oabs(_u7369), _u7370)), hAPP(c_Groups_Oabs__class_Oabs(_u7369), _u7371))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7369), hAPP(c_Groups_Oabs__class_Oabs(_u7369), _u7370)), hAPP(c_Groups_Oabs__class_Oabs(_u7369), _u7371))) )).
% 12.54/12.78 cnf(matrix-4217, plain, ( ~class_Rings_Olinordered__idom(_u7372) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7372), hAPP(c_Groups_Oabs__class_Oabs(_u7372), _u7373)), hAPP(c_Groups_Oabs__class_Oabs(_u7372), _u7373)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7372), _u7373), _u7373)) )).
% 12.54/12.78 cnf(matrix-4218, plain, ( ~class_Rings_Olinordered__idom(_u7374) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7374), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7374), _u7375), _u7376)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7374), hAPP(c_Groups_Oabs__class_Oabs(_u7374), _u7375)), hAPP(c_Groups_Oabs__class_Oabs(_u7374), _u7376))) )).
% 12.54/12.78 cnf(matrix-4219, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7377) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7377), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7377), _u7378), _u7379)) = hAPP(c_Groups_Oabs__class_Oabs(_u7377), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7377), _u7379), _u7378))) )).
% 12.54/12.78 cnf(matrix-4220, plain, ( ~class_Rings_Olinordered__idom(_u7380) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7380), c_Groups_Oone__class_Oone(_u7380)) = c_Groups_Oone__class_Oone(_u7380)) )).
% 12.54/12.78 cnf(matrix-4221, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7381) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7381), hAPP(c_Groups_Ouminus__class_Ouminus(_u7381), _u7382)) = hAPP(c_Groups_Oabs__class_Oabs(_u7381), _u7382)) )).
% 12.54/12.78 cnf(matrix-4222, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7383) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7383), hAPP(c_Groups_Oabs__class_Oabs(_u7383), _u7384)) = hAPP(c_Groups_Oabs__class_Oabs(_u7383), _u7384)) )).
% 12.54/12.78 cnf(matrix-4223, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7385) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7385), c_Groups_Ozero__class_Ozero(_u7385)) = c_Groups_Ozero__class_Ozero(_u7385)) )).
% 12.54/12.78 cnf(matrix-4224, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7386) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7386), _u7387) != c_Groups_Ozero__class_Ozero(_u7386)) | ( _u7387 = c_Groups_Ozero__class_Ozero(_u7386)) )).
% 12.54/12.78 cnf(matrix-4225, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7386) | ( _u7387 != c_Groups_Ozero__class_Ozero(_u7386)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7386), _u7387) = c_Groups_Ozero__class_Ozero(_u7386)) )).
% 12.54/12.78 cnf(matrix-4226, plain, ( ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7388)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7388)) )).
% 12.54/12.78 cnf(matrix-4227, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u7389) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7389), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7389), _u7390), _u7391)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7389), hAPP(c_Groups_Oabs__class_Oabs(_u7389), _u7390)), hAPP(c_Groups_Oabs__class_Oabs(_u7389), _u7391))) )).
% 12.54/12.78 cnf(matrix-4228, plain, ( ~class_Rings_Olinordered__idom(_u7392) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7392), hAPP(hAPP(c_Power_Opower__class_Opower(_u7392), _u7393), _u7394)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u7392), hAPP(c_Groups_Oabs__class_Oabs(_u7392), _u7393)), _u7394)) )).
% 12.54/12.78 cnf(matrix-4229, plain, ( ~class_Rings_Olinordered__idom(_u7395) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7395), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7395), _u7396)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7395), _u7396)) )).
% 12.54/12.78 cnf(matrix-4230, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 12.54/12.78 cnf(matrix-4231, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7397), c_Int_OPls) = _u7397) )).
% 12.54/12.78 cnf(matrix-4232, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), _u7398) = _u7398) )).
% 12.54/12.78 cnf(matrix-4233, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OPls), _u7399) = c_Int_OPls) )).
% 12.54/12.78 cnf(matrix-4234, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7400), c_Int_OPls) = _u7400) )).
% 12.54/12.78 cnf(matrix-4235, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls) = c_Int_OPls) )).
% 12.54/12.78 cnf(matrix-4236, plain, ( ( c_Int_OPls != c_Int_OMin) )).
% 12.54/12.78 cnf(matrix-4237, plain, ( ( c_Int_OMin != c_Int_OPls) )).
% 12.54/12.78 cnf(matrix-4238, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 12.54/12.78 cnf(matrix-4239, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7401) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7401), c_Groups_Ozero__class_Ozero(_u7401)), hAPP(c_Groups_Oabs__class_Oabs(_u7401), _u7402))) )).
% 12.54/12.78 cnf(matrix-4240, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7403) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7403), hAPP(c_Groups_Oabs__class_Oabs(_u7403), _u7404)), c_Groups_Ozero__class_Ozero(_u7403))) | ( _u7404 = c_Groups_Ozero__class_Ozero(_u7403)) )).
% 12.54/12.78 cnf(matrix-4241, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7403) | ( _u7404 != c_Groups_Ozero__class_Ozero(_u7403)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7403), hAPP(c_Groups_Oabs__class_Oabs(_u7403), _u7404)), c_Groups_Ozero__class_Ozero(_u7403))) )).
% 12.54/12.78 cnf(matrix-4242, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7405) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7405), c_Groups_Ozero__class_Ozero(_u7405)), _u7406)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7405), _u7406) = _u7406) )).
% 12.54/12.78 cnf(matrix-4243, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7407) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7407), c_Groups_Ozero__class_Ozero(_u7407)), _u7408)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7407), _u7408) = _u7408) )).
% 12.54/12.78 cnf(matrix-4244, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7409) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7409), c_Groups_Ozero__class_Ozero(_u7409)), hAPP(c_Groups_Oabs__class_Oabs(_u7409), _u7410))) | ( _u7410 != c_Groups_Ozero__class_Ozero(_u7409)) )).
% 12.54/12.78 cnf(matrix-4245, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7409) | ( _u7410 = c_Groups_Ozero__class_Ozero(_u7409)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7409), c_Groups_Ozero__class_Ozero(_u7409)), hAPP(c_Groups_Oabs__class_Oabs(_u7409), _u7410))) )).
% 12.54/12.78 cnf(matrix-4246, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7411) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7411), hAPP(c_Groups_Oabs__class_Oabs(_u7411), _u7412)), c_Groups_Ozero__class_Ozero(_u7411))) )).
% 12.54/12.78 cnf(matrix-4247, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7413) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7413), hAPP(c_Groups_Oabs__class_Oabs(_u7413), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7413), _u7414), _u7415))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7413), hAPP(c_Groups_Oabs__class_Oabs(_u7413), _u7414)), hAPP(c_Groups_Oabs__class_Oabs(_u7413), _u7415)))) )).
% 12.54/12.78 cnf(matrix-4248, plain, ( ~class_Rings_Olinordered__idom(_u7416) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7416), hAPP(c_Groups_Oabs__class_Oabs(_u7416), _u7417)), _u7418)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7416), hAPP(c_Groups_Oabs__class_Oabs(_u7416), _u7419)), _u7420)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7416), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7416), hAPP(c_Groups_Oabs__class_Oabs(_u7416), _u7417)), hAPP(c_Groups_Oabs__class_Oabs(_u7416), _u7419))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7416), _u7418), _u7420))) )).
% 12.54/12.78 cnf(matrix-4249, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7421) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7421), hAPP(c_Groups_Oabs__class_Oabs(_u7421), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7421), hAPP(c_Groups_Oabs__class_Oabs(_u7421), _u7422)), hAPP(c_Groups_Oabs__class_Oabs(_u7421), _u7423)))), hAPP(c_Groups_Oabs__class_Oabs(_u7421), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7421), _u7422), _u7423)))) )).
% 12.54/12.78 cnf(matrix-4250, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7424) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7424), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7424), hAPP(c_Groups_Oabs__class_Oabs(_u7424), _u7425)), hAPP(c_Groups_Oabs__class_Oabs(_u7424), _u7426))), hAPP(c_Groups_Oabs__class_Oabs(_u7424), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7424), _u7425), _u7426)))) )).
% 12.54/12.78 cnf(matrix-4251, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7427) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7427), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7427), hAPP(c_Groups_Oabs__class_Oabs(_u7427), _u7428)), hAPP(c_Groups_Oabs__class_Oabs(_u7427), _u7429))), hAPP(c_Groups_Oabs__class_Oabs(_u7427), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7427), _u7429), _u7428)))) )).
% 12.54/12.78 cnf(matrix-4252, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7430) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7430), hAPP(c_Groups_Oabs__class_Oabs(_u7430), _u7431)), _u7432)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7430), hAPP(c_Groups_Ouminus__class_Ouminus(_u7430), _u7431)), _u7432)) )).
% 12.54/12.78 cnf(matrix-4253, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7433) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7433), _u7434), _u7435)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7433), hAPP(c_Groups_Ouminus__class_Ouminus(_u7433), _u7434)), _u7435)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7433), hAPP(c_Groups_Oabs__class_Oabs(_u7433), _u7434)), _u7435)) )).
% 12.54/12.78 cnf(matrix-4254, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7436) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7436), hAPP(c_Groups_Oabs__class_Oabs(_u7436), _u7437)), _u7438)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7436), _u7437), _u7438)) )).
% 12.54/12.78 cnf(matrix-4255, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7436) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7436), hAPP(c_Groups_Oabs__class_Oabs(_u7436), _u7437)), _u7438)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7436), hAPP(c_Groups_Ouminus__class_Ouminus(_u7436), _u7437)), _u7438)) )).
% 12.54/12.78 cnf(matrix-4256, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7436) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7436), _u7437), _u7438)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7436), hAPP(c_Groups_Ouminus__class_Ouminus(_u7436), _u7437)), _u7438)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7436), hAPP(c_Groups_Oabs__class_Oabs(_u7436), _u7437)), _u7438)) )).
% 12.54/12.78 cnf(matrix-4257, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7439) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7439), hAPP(c_Groups_Ouminus__class_Ouminus(_u7439), _u7440)), hAPP(c_Groups_Oabs__class_Oabs(_u7439), _u7440))) )).
% 12.54/12.78 cnf(matrix-4258, plain, ( ~class_Rings_Olinordered__idom(_u7441) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7441), hAPP(c_Groups_Oabs__class_Oabs(_u7441), _u7442)), _u7443)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7441), _u7442), _u7443)) )).
% 12.54/12.78 cnf(matrix-4259, plain, ( ~class_Rings_Olinordered__idom(_u7441) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7441), hAPP(c_Groups_Oabs__class_Oabs(_u7441), _u7442)), _u7443)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7441), hAPP(c_Groups_Ouminus__class_Ouminus(_u7441), _u7442)), _u7443)) )).
% 12.54/12.78 cnf(matrix-4260, plain, ( ~class_Rings_Olinordered__idom(_u7441) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7441), _u7442), _u7443)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7441), hAPP(c_Groups_Ouminus__class_Ouminus(_u7441), _u7442)), _u7443)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7441), hAPP(c_Groups_Oabs__class_Oabs(_u7441), _u7442)), _u7443)) )).
% 12.54/12.78 cnf(matrix-4261, plain, ( ~class_Fields_Olinordered__field(_u7444) | ( _u7445 = c_Groups_Ozero__class_Ozero(_u7444)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7444), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7444), _u7446), _u7445)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7444), hAPP(c_Groups_Oabs__class_Oabs(_u7444), _u7446)), hAPP(c_Groups_Oabs__class_Oabs(_u7444), _u7445))) )).
% 12.54/12.78 cnf(matrix-4262, plain, ( ~class_Rings_Olinordered__idom(_u7447) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7447), hAPP(hAPP(c_Power_Opower__class_Opower(_u7447), hAPP(c_Groups_Ouminus__class_Ouminus(_u7447), _u7448)), _u7449)) = hAPP(c_Groups_Oabs__class_Oabs(_u7447), hAPP(hAPP(c_Power_Opower__class_Opower(_u7447), _u7448), _u7449))) )).
% 12.54/12.78 cnf(matrix-4263, plain, ( ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7450), _u7451)) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7450) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.54/12.78 cnf(matrix-4264, plain, ( ~class_Int_Onumber__ring(_u7452) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u7452), c_Int_OPls) = c_Groups_Ozero__class_Ozero(_u7452)) )).
% 12.54/12.78 cnf(matrix-4265, plain, ( ~class_Int_Onumber__ring(_u7453) | ( c_Groups_Ozero__class_Ozero(_u7453) = hAPP(c_Int_Onumber__class_Onumber__of(_u7453), c_Int_OPls)) )).
% 12.54/12.78 cnf(matrix-4266, plain, ( ~class_Int_Onumber__ring(_u7454) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7454), hAPP(c_Int_Onumber__class_Onumber__of(_u7454), c_Int_OPls)), _u7455) = _u7455) )).
% 12.54/12.78 cnf(matrix-4267, plain, ( ~class_Int_Onumber__ring(_u7456) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7456), _u7457), hAPP(c_Int_Onumber__class_Onumber__of(_u7456), c_Int_OPls)) = _u7457) )).
% 12.54/12.78 cnf(matrix-4268, plain, ( ~class_Rings_Olinordered__idom(_u7458) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7458), _u7459) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7458), _u7459), c_Groups_Osgn__class_Osgn(_u7458, _u7459))) )).
% 12.54/12.78 cnf(matrix-4269, plain, ( ~class_Rings_Olinordered__idom(_u7460) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7460), c_Groups_Osgn__class_Osgn(_u7460, _u7461)), hAPP(c_Groups_Oabs__class_Oabs(_u7460), _u7461)) = _u7461) )).
% 12.54/12.78 cnf(matrix-4270, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-4271, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls)) )).
% 12.54/12.78 cnf(matrix-4272, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-4273, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls)) )).
% 12.54/12.78 cnf(matrix-4274, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 12.54/12.78 cnf(matrix-4275, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 12.54/12.78 cnf(matrix-4276, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 12.54/12.78 cnf(matrix-4277, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 12.54/12.78 cnf(matrix-4278, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.54/12.78 cnf(matrix-4279, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls))) )).
% 12.54/12.78 cnf(matrix-4280, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 12.54/12.78 cnf(matrix-4281, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 12.54/12.78 cnf(matrix-4282, plain, ( ( c_Int_Osucc(c_Int_OMin) = c_Int_OPls) )).
% 12.54/12.78 cnf(matrix-4283, plain, ( ~class_Rings_Olinordered__idom(_u7462) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7462), c_Groups_Ozero__class_Ozero(_u7462)), _u7463)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7462), hAPP(c_Groups_Oabs__class_Oabs(_u7462), _u7464)), _u7463) = hAPP(c_Groups_Oabs__class_Oabs(_u7462), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7462), _u7464), _u7463))) )).
% 12.54/12.78 cnf(matrix-4284, plain, ( ~class_Rings_Oordered__ring__abs(_u7465) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7465), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7465), _u7466), _u7467)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7465), hAPP(c_Groups_Oabs__class_Oabs(_u7465), _u7466)), hAPP(c_Groups_Oabs__class_Oabs(_u7465), _u7467))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7465), c_Groups_Ozero__class_Ozero(_u7465)), _u7466)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7465), c_Groups_Ozero__class_Ozero(_u7465)), _u7467)) )).
% 12.54/12.78 cnf(matrix-4285, plain, ( ~class_Rings_Oordered__ring__abs(_u7465) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7465), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7465), _u7466), _u7467)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7465), hAPP(c_Groups_Oabs__class_Oabs(_u7465), _u7466)), hAPP(c_Groups_Oabs__class_Oabs(_u7465), _u7467))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7465), c_Groups_Ozero__class_Ozero(_u7465)), _u7466)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7465), _u7467), c_Groups_Ozero__class_Ozero(_u7465))) )).
% 12.54/12.78 cnf(matrix-4286, plain, ( ~class_Rings_Oordered__ring__abs(_u7465) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7465), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7465), _u7466), _u7467)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7465), hAPP(c_Groups_Oabs__class_Oabs(_u7465), _u7466)), hAPP(c_Groups_Oabs__class_Oabs(_u7465), _u7467))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7465), _u7466), c_Groups_Ozero__class_Ozero(_u7465))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7465), c_Groups_Ozero__class_Ozero(_u7465)), _u7467)) )).
% 12.54/12.78 cnf(matrix-4287, plain, ( ~class_Rings_Oordered__ring__abs(_u7465) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7465), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7465), _u7466), _u7467)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7465), hAPP(c_Groups_Oabs__class_Oabs(_u7465), _u7466)), hAPP(c_Groups_Oabs__class_Oabs(_u7465), _u7467))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7465), _u7466), c_Groups_Ozero__class_Ozero(_u7465))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7465), _u7467), c_Groups_Ozero__class_Ozero(_u7465))) )).
% 12.54/12.78 cnf(matrix-4288, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7468) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7468), hAPP(c_Groups_Oabs__class_Oabs(_u7468), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7468), _u7469), _u7470))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7468), hAPP(c_Groups_Oabs__class_Oabs(_u7468), _u7469)), hAPP(c_Groups_Oabs__class_Oabs(_u7468), _u7470)))) )).
% 12.54/12.78 cnf(matrix-4289, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7471) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7471), hAPP(c_Groups_Oabs__class_Oabs(_u7471), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7471), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7471), _u7472), _u7473)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7471), _u7474), _u7475)))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7471), hAPP(c_Groups_Oabs__class_Oabs(_u7471), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7471), _u7472), _u7474))), hAPP(c_Groups_Oabs__class_Oabs(_u7471), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7471), _u7473), _u7475))))) )).
% 12.54/12.78 cnf(matrix-4290, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7476) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7476), _u7477), c_Groups_Ozero__class_Ozero(_u7476))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7476), _u7477) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7476), _u7477)) )).
% 12.54/12.78 cnf(matrix-4291, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7478) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7478), hAPP(c_Groups_Ouminus__class_Ouminus(_u7478), hAPP(c_Groups_Oabs__class_Oabs(_u7478), _u7479))), c_Groups_Ozero__class_Ozero(_u7478))) )).
% 12.54/12.78 cnf(matrix-4292, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7480) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7480), _u7481), c_Groups_Ozero__class_Ozero(_u7480))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7480), _u7481) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7480), _u7481)) )).
% 12.54/12.78 cnf(matrix-4293, plain, ( ~class_Groups_Oabs__if(_u7482) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7482), _u7483), c_Groups_Ozero__class_Ozero(_u7482))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7482), _u7483) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7482), _u7483)) )).
% 12.54/12.78 cnf(matrix-4294, plain, ( ~class_Groups_Oabs__if(_u7482) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7482), _u7483), c_Groups_Ozero__class_Ozero(_u7482))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7482), _u7483) = _u7483) )).
% 12.54/12.78 cnf(matrix-4295, plain, ( ~class_Rings_Olinordered__idom(_u7484) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7484), c_Groups_Ozero__class_Ozero(_u7484)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7484), hAPP(c_Groups_Oabs__class_Oabs(_u7484), _u7485)), _u7486))) )).
% 12.54/12.78 cnf(matrix-4296, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u7487) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7487), c_Groups_Ozero__class_Ozero(_u7487)), _u7488)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7487), hAPP(c_Groups_Oabs__class_Oabs(_u7487), _u7489)), _u7488) = hAPP(c_Groups_Oabs__class_Oabs(_u7487), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7487), _u7489), _u7488))) )).
% 12.54/12.78 cnf(matrix-4297, plain, ( ~class_Int_Onumber__ring(_u7490) | ~class_Rings_Olinordered__idom(_u7490) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7490), hAPP(c_Int_Onumber__class_Onumber__of(_u7490), c_Int_OMin)) = c_Groups_Oone__class_Oone(_u7490)) )).
% 12.54/12.78 cnf(matrix-4298, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7492)), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u7492 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.78 cnf(matrix-4299, plain, ( ( _u7493 != 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), _u7493)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-4300, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7495), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7495) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7495)) )).
% 12.54/12.78 cnf(matrix-4301, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7496), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7496) = _u7496) )).
% 12.54/12.78 cnf(matrix-4302, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7497), _u7498))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7497))), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7498)))) )).
% 12.54/12.78 cnf(matrix-4303, 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), _u7499)), _u7500))) )).
% 12.54/12.78 cnf(matrix-4304, plain, ( ~class_Fields_Ofield__inverse__zero(_u7501) | ~class_Int_Onumber__ring(_u7501) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7501), _u7502), hAPP(c_Int_Onumber__class_Onumber__of(_u7501), c_Int_OPls)) = c_Groups_Ozero__class_Ozero(_u7501)) )).
% 12.54/12.78 cnf(matrix-4305, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7504) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7504), c_Int_OPls)) )).
% 12.54/12.78 cnf(matrix-4306, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7505), c_Int_OPls)) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7505) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-4307, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7507)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7507), c_Int_OPls)) )).
% 12.54/12.78 cnf(matrix-4308, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7508), c_Int_OPls)) | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7508)) )).
% 12.54/12.78 cnf(matrix-4309, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls))) )).
% 12.54/12.78 cnf(matrix-4310, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7511)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7513))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7511), _u7513)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u7513)) )).
% 12.54/12.78 cnf(matrix-4311, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7511)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7513))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7511), _u7513)) )).
% 12.54/12.78 cnf(matrix-4312, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7512)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7514))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7512), _u7514)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u7514)) )).
% 12.54/12.78 cnf(matrix-4313, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7517)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7519))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7517), _u7519)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7517), c_Int_OPls)) )).
% 12.54/12.78 cnf(matrix-4314, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7518)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7520))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7518), _u7520)) )).
% 12.54/12.78 cnf(matrix-4315, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7518)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7520))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7518), c_Int_OPls)) )).
% 12.54/12.78 cnf(matrix-4316, plain, ( ~class_Int_Onumber__ring(_u7521) | ~class_Rings_Olinordered__idom(_u7521) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7521), hAPP(c_Int_Onumber__class_Onumber__of(_u7521), _u7522)), c_Groups_Ozero__class_Ozero(_u7521))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7521), hAPP(c_Int_Onumber__class_Onumber__of(_u7521), _u7522)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7521), hAPP(c_Int_Onumber__class_Onumber__of(_u7521), _u7522))) )).
% 12.54/12.78 cnf(matrix-4317, plain, ( ~class_Int_Onumber__ring(_u7521) | ~class_Rings_Olinordered__idom(_u7521) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7521), hAPP(c_Int_Onumber__class_Onumber__of(_u7521), _u7522)), c_Groups_Ozero__class_Ozero(_u7521))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7521), hAPP(c_Int_Onumber__class_Onumber__of(_u7521), _u7522)) = hAPP(c_Int_Onumber__class_Onumber__of(_u7521), _u7522)) )).
% 12.54/12.78 cnf(matrix-4318, plain, ( ~class_Int_Onumber__ring(_u7523) | ~class_Rings_Olinordered__idom(_u7523) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7523), hAPP(hAPP(c_Power_Opower__class_Opower(_u7523), hAPP(c_Int_Onumber__class_Onumber__of(_u7523), c_Int_OMin)), _u7524)) = c_Groups_Oone__class_Oone(_u7523)) )).
% 12.54/12.78 cnf(matrix-4319, 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), _u7527)), _u7529))) | ( _u7527 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7529 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-4320, 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), _u7528)), _u7530))) | ( _u7528 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.78 cnf(matrix-4321, 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), _u7528)), _u7530))) | ( _u7530 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-4322, plain, ( ~class_Int_Onumber__ring(_u7531) | ~class_Rings_Olinordered__idom(_u7531) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7531), c_Groups_Ozero__class_Ozero(_u7531)), hAPP(c_Int_Onumber__class_Onumber__of(_u7531), _u7532))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u7532)) )).
% 12.54/12.78 cnf(matrix-4323, plain, ( ~class_Int_Onumber__ring(_u7531) | ~class_Rings_Olinordered__idom(_u7531) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u7532)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7531), c_Groups_Ozero__class_Ozero(_u7531)), hAPP(c_Int_Onumber__class_Onumber__of(_u7531), _u7532))) )).
% 12.54/12.78 cnf(matrix-4324, plain, ( ~class_Int_Onumber__ring(_u7533) | ~class_Rings_Olinordered__idom(_u7533) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7533), hAPP(c_Int_Onumber__class_Onumber__of(_u7533), _u7534)), c_Groups_Ozero__class_Ozero(_u7533))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7534), c_Int_OPls)) )).
% 12.54/12.78 cnf(matrix-4325, plain, ( ~class_Int_Onumber__ring(_u7533) | ~class_Rings_Olinordered__idom(_u7533) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7534), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7533), hAPP(c_Int_Onumber__class_Onumber__of(_u7533), _u7534)), c_Groups_Ozero__class_Ozero(_u7533))) )).
% 12.54/12.78 cnf(matrix-4326, plain, ( ~class_Int_Onumber__ring(_u7535) | ~class_Rings_Olinordered__idom(_u7535) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7535), c_Groups_Ozero__class_Ozero(_u7535)), hAPP(c_Int_Onumber__class_Onumber__of(_u7535), _u7536))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u7536)) )).
% 12.54/12.78 cnf(matrix-4327, plain, ( ~class_Int_Onumber__ring(_u7535) | ~class_Rings_Olinordered__idom(_u7535) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u7536)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7535), c_Groups_Ozero__class_Ozero(_u7535)), hAPP(c_Int_Onumber__class_Onumber__of(_u7535), _u7536))) )).
% 12.54/12.78 cnf(matrix-4328, plain, ( ~class_Int_Onumber__ring(_u7537) | ~class_Rings_Olinordered__idom(_u7537) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7537), hAPP(c_Int_Onumber__class_Onumber__of(_u7537), _u7538)), c_Groups_Ozero__class_Ozero(_u7537))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7538), c_Int_OPls)) )).
% 12.54/12.78 cnf(matrix-4329, plain, ( ~class_Int_Onumber__ring(_u7537) | ~class_Rings_Olinordered__idom(_u7537) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7538), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7537), hAPP(c_Int_Onumber__class_Onumber__of(_u7537), _u7538)), c_Groups_Ozero__class_Ozero(_u7537))) )).
% 12.54/12.78 cnf(matrix-4330, 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), _u7540))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u7540)) )).
% 12.54/12.78 cnf(matrix-4331, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u7541)) | 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), _u7541))) )).
% 12.54/12.78 cnf(matrix-4332, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7544), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7544)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7546)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7546)) )).
% 12.54/12.78 cnf(matrix-4333, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7545), c_Int_OPls)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7547), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7545)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7547)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7545)) )).
% 12.54/12.78 cnf(matrix-4334, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7545), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7547), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7545)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7547)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7545), _u7547))) )).
% 12.54/12.78 cnf(matrix-4335, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7551), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7551)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7553)), _u7555)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-4336, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7552), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7552)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7554)), _u7556)) = 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), _u7552), _u7554))), _u7556)) )).
% 12.54/12.78 cnf(matrix-4337, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7559), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7559)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7561)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-4338, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7560), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7560)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7562)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7560), _u7562))) )).
% 12.54/12.78 cnf(matrix-4339, plain, ( ~class_Int_Onumber__ring(_u7563) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u7563), _u7564) != c_Groups_Ozero__class_Ozero(_u7563)) | c_Int_Oiszero(_u7563, hAPP(c_Int_Onumber__class_Onumber__of(_u7563), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7564), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) )).
% 12.54/12.78 cnf(matrix-4340, plain, ( ~class_Int_Onumber__ring(_u7563) | ~c_Int_Oiszero(_u7563, hAPP(c_Int_Onumber__class_Onumber__of(_u7563), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7564), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u7563), _u7564) = c_Groups_Ozero__class_Ozero(_u7563)) )).
% 12.54/12.78 cnf(matrix-4341, plain, ( ~class_Int_Onumber__ring(_u7565) | ( c_Groups_Ozero__class_Ozero(_u7565) != hAPP(c_Int_Onumber__class_Onumber__of(_u7565), _u7566)) | c_Int_Oiszero(_u7565, hAPP(c_Int_Onumber__class_Onumber__of(_u7565), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7566)))) )).
% 12.54/12.78 cnf(matrix-4342, plain, ( ~class_Int_Onumber__ring(_u7565) | ~c_Int_Oiszero(_u7565, hAPP(c_Int_Onumber__class_Onumber__of(_u7565), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7566)))) | ( c_Groups_Ozero__class_Ozero(_u7565) = hAPP(c_Int_Onumber__class_Onumber__of(_u7565), _u7566)) )).
% 12.54/12.78 cnf(matrix-4343, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7568), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7568)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-4344, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7569), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7569)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u7569))) )).
% 12.54/12.78 cnf(matrix-4345, plain, ( ~class_Int_Onumber__ring(_u7570) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u7571)) | hBOOL(hAPP(hAPP(c_member(_u7570), hAPP(c_Int_Onumber__class_Onumber__of(_u7570), _u7571)), c_Nat_Osemiring__1__class_ONats(_u7570))) )).
% 12.54/12.78 cnf(matrix-4346, plain, ( ( c_Nitpick_Oint__lcm(_u7572, _u7573) = 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), _u7572)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7573))))) )).
% 12.54/12.78 cnf(matrix-4347, plain, ( ( c_Int_Osucc(c_Int_Opred(_u7574)) = _u7574) )).
% 12.54/12.78 cnf(matrix-4348, plain, ( ~class_Rings_Osemiring__1(_u7575) | ~c_Int_Oiszero(_u7575, _u7576) | ( _u7576 = c_Groups_Ozero__class_Ozero(_u7575)) )).
% 12.54/12.78 cnf(matrix-4349, plain, ( ~class_Rings_Osemiring__1(_u7575) | ( _u7576 != c_Groups_Ozero__class_Ozero(_u7575)) | c_Int_Oiszero(_u7575, _u7576) )).
% 12.54/12.78 cnf(matrix-4350, plain, ( ~class_Rings_Osemiring__1(_u7577) | c_Int_Oiszero(_u7577, c_Groups_Ozero__class_Ozero(_u7577)) )).
% 12.54/12.78 cnf(matrix-4351, plain, ( ~class_Rings_Osemiring__1(_u7578) | ~c_Int_Oiszero(_u7578, c_Groups_Oone__class_Oone(_u7578)) )).
% 12.54/12.78 cnf(matrix-4352, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7581), _u7583)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u7581)), _u7583)) )).
% 12.54/12.78 cnf(matrix-4353, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u7582)), _u7584)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7582), _u7584)) )).
% 12.54/12.78 cnf(matrix-4354, plain, ( ( c_Int_Opred(c_Int_OPls) = c_Int_OMin) )).
% 12.54/12.78 cnf(matrix-4355, plain, ( ( c_Int_Opred(_u7585) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7585), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-4356, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7586), c_Int_OMin) = c_Int_Opred(_u7586)) )).
% 12.54/12.78 cnf(matrix-4357, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OMin), _u7587) = c_Int_Opred(_u7587)) )).
% 12.54/12.78 cnf(matrix-4358, plain, ( ~class_Int_Onumber__ring(_u7588) | c_Int_Oiszero(_u7588, hAPP(c_Int_Onumber__class_Onumber__of(_u7588), c_Int_OPls)) )).
% 12.54/12.78 cnf(matrix-4359, plain, ( ~class_Rings_Osemiring__1(_u7589) | hBOOL(hAPP(hAPP(c_member(_u7589), c_Groups_Ozero__class_Ozero(_u7589)), c_Nat_Osemiring__1__class_ONats(_u7589))) )).
% 12.54/12.78 cnf(matrix-4360, plain, ( ~class_Rings_Osemiring__1(_u7590) | ~hBOOL(hAPP(hAPP(c_member(_u7590), _u7591), c_Nat_Osemiring__1__class_ONats(_u7590))) | ~hBOOL(hAPP(hAPP(c_member(_u7590), _u7592), c_Nat_Osemiring__1__class_ONats(_u7590))) | hBOOL(hAPP(hAPP(c_member(_u7590), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7590), _u7591), _u7592)), c_Nat_Osemiring__1__class_ONats(_u7590))) )).
% 12.54/12.78 cnf(matrix-4361, plain, ( ~class_Rings_Osemiring__1(_u7593) | ~hBOOL(hAPP(hAPP(c_member(_u7593), _u7594), c_Nat_Osemiring__1__class_ONats(_u7593))) | ~hBOOL(hAPP(hAPP(c_member(_u7593), _u7595), c_Nat_Osemiring__1__class_ONats(_u7593))) | hBOOL(hAPP(hAPP(c_member(_u7593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7593), _u7594), _u7595)), c_Nat_Osemiring__1__class_ONats(_u7593))) )).
% 12.54/12.78 cnf(matrix-4362, plain, ( ~class_Int_Onumber__ring(_u7596) | ~c_Int_Oiszero(_u7596, hAPP(c_Int_Onumber__class_Onumber__of(_u7596), c_Int_OMin)) )).
% 12.54/12.78 cnf(matrix-4363, plain, ( ~class_Rings_Osemiring__1(_u7597) | hBOOL(hAPP(hAPP(c_member(_u7597), c_Groups_Oone__class_Oone(_u7597)), c_Nat_Osemiring__1__class_ONats(_u7597))) )).
% 12.54/12.78 cnf(matrix-4364, plain, ( ~class_Rings_Osemiring__1(_u7598) | hBOOL(hAPP(hAPP(c_member(_u7598), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7598), _u7599)), c_Nat_Osemiring__1__class_ONats(_u7598))) )).
% 12.54/12.78 cnf(matrix-4365, plain, ( ~class_Int_Onumber__ring(_u7600) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u7600), c_Int_Opred(_u7601)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7600), hAPP(c_Groups_Ouminus__class_Ouminus(_u7600), c_Groups_Oone__class_Oone(_u7600))), hAPP(c_Int_Onumber__class_Onumber__of(_u7600), _u7601))) )).
% 12.54/12.78 cnf(matrix-4366, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7603)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7603) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-4367, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7604) != 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(_u7604)))) )).
% 12.54/12.78 cnf(matrix-4368, plain, ( ~class_Int_Onumber__ring(_u7605) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u7605), _u7606) != hAPP(c_Int_Onumber__class_Onumber__of(_u7605), _u7607)) | c_Int_Oiszero(_u7605, hAPP(c_Int_Onumber__class_Onumber__of(_u7605), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7606), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7607)))) )).
% 12.54/12.78 cnf(matrix-4369, plain, ( ~class_Int_Onumber__ring(_u7605) | ~c_Int_Oiszero(_u7605, hAPP(c_Int_Onumber__class_Onumber__of(_u7605), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7606), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7607)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u7605), _u7606) = hAPP(c_Int_Onumber__class_Onumber__of(_u7605), _u7607)) )).
% 12.54/12.78 cnf(matrix-4370, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u7608)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7609)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7608)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7609), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u7608)))) )).
% 12.54/12.78 cnf(matrix-4371, plain, ( ( c_Nitpick_Onat__lcm(_u7610, _u7611) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7610), _u7611)), c_Nitpick_Onat__gcd(_u7610, _u7611))) )).
% 12.54/12.78 cnf(matrix-4372, plain, ( ~class_Int_Onumber__ring(_u7612) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u7612), _u7613) != c_Groups_Oone__class_Oone(_u7612)) | c_Int_Oiszero(_u7612, hAPP(c_Int_Onumber__class_Onumber__of(_u7612), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7613), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 12.54/12.78 cnf(matrix-4373, plain, ( ~class_Int_Onumber__ring(_u7612) | ~c_Int_Oiszero(_u7612, hAPP(c_Int_Onumber__class_Onumber__of(_u7612), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7613), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u7612), _u7613) = c_Groups_Oone__class_Oone(_u7612)) )).
% 12.54/12.78 cnf(matrix-4374, plain, ( ~class_Int_Onumber__ring(_u7614) | ( c_Groups_Oone__class_Oone(_u7614) != hAPP(c_Int_Onumber__class_Onumber__of(_u7614), _u7615)) | c_Int_Oiszero(_u7614, hAPP(c_Int_Onumber__class_Onumber__of(_u7614), 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), _u7615)))) )).
% 12.54/12.78 cnf(matrix-4375, plain, ( ~class_Int_Onumber__ring(_u7614) | ~c_Int_Oiszero(_u7614, hAPP(c_Int_Onumber__class_Onumber__of(_u7614), 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), _u7615)))) | ( c_Groups_Oone__class_Oone(_u7614) = hAPP(c_Int_Onumber__class_Onumber__of(_u7614), _u7615)) )).
% 12.54/12.78 cnf(matrix-4376, plain, ( ~class_Int_Onumber__ring(_u7616) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7616), hAPP(c_Int_Onumber__class_Onumber__of(_u7616), _u7617)), c_Groups_Oone__class_Oone(_u7616)) = hAPP(c_Int_Onumber__class_Onumber__of(_u7616), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7617), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 12.54/12.78 cnf(matrix-4377, plain, ( ~class_Int_Onumber__ring(_u7618) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7618), c_Groups_Oone__class_Oone(_u7618)), hAPP(c_Int_Onumber__class_Onumber__of(_u7618), _u7619)) = hAPP(c_Int_Onumber__class_Onumber__of(_u7618), 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), _u7619)))) )).
% 12.54/12.78 cnf(matrix-4378, plain, ( ( c_Int_OBit1(c_Int_OMin) = c_Int_OMin) )).
% 12.54/12.78 cnf(matrix-4379, plain, ( ( c_Int_OMin != c_Int_OBit1(_u7621)) | ( c_Int_OMin = _u7621) )).
% 12.54/12.78 cnf(matrix-4380, plain, ( ( c_Int_OMin != _u7622) | ( c_Int_OMin = c_Int_OBit1(_u7622)) )).
% 12.54/12.78 cnf(matrix-4381, plain, ( ( c_Int_OBit1(_u7624) != c_Int_OMin) | ( _u7624 = c_Int_OMin) )).
% 12.54/12.78 cnf(matrix-4382, plain, ( ( _u7625 != c_Int_OMin) | ( c_Int_OBit1(_u7625) = c_Int_OMin) )).
% 12.54/12.78 cnf(matrix-4383, plain, ( ( c_Int_OBit1(_u7628) != c_Int_OBit1(_u7630)) | ( _u7628 = _u7630) )).
% 12.54/12.78 cnf(matrix-4384, plain, ( ( _u7629 != _u7631) | ( c_Int_OBit1(_u7629) = c_Int_OBit1(_u7631)) )).
% 12.54/12.78 cnf(matrix-4385, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u7634)), c_Int_OBit1(_u7636))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7634), _u7636)) )).
% 12.54/12.78 cnf(matrix-4386, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7635), _u7637)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u7635)), c_Int_OBit1(_u7637))) )).
% 12.54/12.78 cnf(matrix-4387, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u7640)), c_Int_OBit1(_u7642))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7640), _u7642)) )).
% 12.54/12.78 cnf(matrix-4388, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7641), _u7643)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u7641)), c_Int_OBit1(_u7643))) )).
% 12.54/12.78 cnf(matrix-4389, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u7646)), c_Int_OBit1(_u7648))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7646), _u7648)) )).
% 12.54/12.78 cnf(matrix-4390, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7647), _u7649)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u7647)), c_Int_OBit1(_u7649))) )).
% 12.54/12.78 cnf(matrix-4391, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u7652)), c_Int_OBit1(_u7654))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7652), _u7654)) )).
% 12.54/12.78 cnf(matrix-4392, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7653), _u7655)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u7653)), c_Int_OBit1(_u7655))) )).
% 12.54/12.78 cnf(matrix-4393, plain, ( ( c_Int_OPls != c_Int_OBit1(_u7656)) )).
% 12.54/12.78 cnf(matrix-4394, plain, ( ( c_Int_OBit1(_u7657) != c_Int_OPls) )).
% 12.54/12.78 cnf(matrix-4395, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u7660)), c_Int_OBit1(_u7662))) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u7660), _u7662)) )).
% 12.54/12.78 cnf(matrix-4396, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u7661), _u7663)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u7661)), c_Int_OBit1(_u7663))) )).
% 12.54/12.78 cnf(matrix-4397, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u7665)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7665), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-4398, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7666), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u7666)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-4399, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u7668))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u7668)) )).
% 12.54/12.78 cnf(matrix-4400, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u7669)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u7669))) )).
% 12.54/12.78 cnf(matrix-4401, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u7671)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7671), c_Int_OPls)) )).
% 12.54/12.78 cnf(matrix-4402, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7672), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u7672)), c_Int_OPls)) )).
% 12.54/12.78 cnf(matrix-4403, plain, ( ( c_Int_OBit1(_u7673) = 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)), _u7673)), _u7673)) )).
% 12.54/12.78 cnf(matrix-4404, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u7675))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u7675)) )).
% 12.54/12.78 cnf(matrix-4405, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u7676)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u7676))) )).
% 12.54/12.78 cnf(matrix-4406, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u7678)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7678), c_Int_OMin)) )).
% 12.54/12.78 cnf(matrix-4407, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7679), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u7679)), c_Int_OMin)) )).
% 12.54/12.78 cnf(matrix-4408, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u7681)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7681), c_Int_OMin)) )).
% 12.54/12.78 cnf(matrix-4409, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7682), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u7682)), c_Int_OMin)) )).
% 12.54/12.78 cnf(matrix-4410, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u7684))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u7684)) )).
% 12.54/12.78 cnf(matrix-4411, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u7685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u7685))) )).
% 12.54/12.78 cnf(matrix-4412, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u7687)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7687))) )).
% 12.54/12.78 cnf(matrix-4413, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7688))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u7688)))) )).
% 12.54/12.78 cnf(matrix-4414, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u7689))) )).
% 12.54/12.78 cnf(matrix-4415, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u7690)), c_Int_OPls)) )).
% 12.54/12.78 cnf(matrix-4416, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(_u7691)) = c_Int_OBit1(c_Int_Opred(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7691)))) )).
% 12.54/12.78 cnf(matrix-4417, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u7693))) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), _u7693)) )).
% 12.54/12.78 cnf(matrix-4418, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), _u7694)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u7694))) )).
% 12.54/12.78 cnf(matrix-4419, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u7696)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u7696), c_Int_OMin)) )).
% 12.54/12.78 cnf(matrix-4420, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u7697), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u7697)), c_Int_OMin)) )).
% 12.54/12.78 cnf(matrix-4421, plain, ( ~class_Int_Onumber__ring(_u7698) | ~class_Int_Oring__char__0(_u7698) | ~c_Int_Oiszero(_u7698, hAPP(c_Int_Onumber__class_Onumber__of(_u7698), c_Int_OBit1(_u7699))) )).
% 12.54/12.78 cnf(matrix-4422, plain, ( ( c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls)) )).
% 12.54/12.78 cnf(matrix-4423, plain, ( ~class_Int_Onumber__ring(_u7700) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u7700), c_Int_OBit1(_u7701)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7700), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7700), c_Groups_Oone__class_Oone(_u7700)), hAPP(c_Int_Onumber__class_Onumber__of(_u7700), _u7701))), hAPP(c_Int_Onumber__class_Onumber__of(_u7700), _u7701))) )).
% 12.54/12.78 cnf(matrix-4424, plain, ( ~class_Int_Onumber__ring(_u7702) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7702), hAPP(c_Int_Onumber__class_Onumber__of(_u7702), c_Int_OBit1(c_Int_OPls))), _u7703) = _u7703) )).
% 12.54/12.78 cnf(matrix-4425, plain, ( ~class_Int_Onumber__ring(_u7704) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7704), _u7705), hAPP(c_Int_Onumber__class_Onumber__of(_u7704), c_Int_OBit1(c_Int_OPls))) = _u7705) )).
% 12.54/12.78 cnf(matrix-4426, plain, ( ~class_Int_Onumber__ring(_u7706) | ( c_Groups_Oone__class_Oone(_u7706) = hAPP(c_Int_Onumber__class_Onumber__of(_u7706), c_Int_OBit1(c_Int_OPls))) )).
% 12.54/12.78 cnf(matrix-4427, plain, ( ~class_Int_Onumber__ring(_u7707) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u7707), c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(_u7707)) )).
% 12.54/12.78 cnf(matrix-4428, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u7709)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7709), c_Int_OPls)) )).
% 12.54/12.78 cnf(matrix-4429, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7710), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u7710)), c_Int_OPls)) )).
% 12.54/12.78 cnf(matrix-4430, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u7712))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u7712)) )).
% 12.54/12.78 cnf(matrix-4431, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u7713)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u7713))) )).
% 12.54/12.78 cnf(matrix-4432, plain, ( ~class_Fields_Ofield(_u7714) | ~class_Int_Onumber__ring(_u7714) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7714), _u7715), hAPP(c_Int_Onumber__class_Onumber__of(_u7714), c_Int_OBit1(c_Int_OPls))) = _u7715) )).
% 12.54/12.78 cnf(matrix-4433, plain, ( ~class_Fields_Ofield(_u7716) | ~class_Int_Onumber__ring(_u7716) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7716), _u7717), hAPP(c_Int_Onumber__class_Onumber__of(_u7716), c_Int_OBit1(c_Int_OPls))) = _u7717) )).
% 12.54/12.78 cnf(matrix-4434, plain, ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))) )).
% 12.54/12.78 cnf(matrix-4435, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls))) )).
% 12.54/12.78 cnf(matrix-4436, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-4437, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u7718)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u7718))) )).
% 12.54/12.78 cnf(matrix-4438, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OMin) = c_Int_OBit1(c_Int_OPls)) )).
% 12.54/12.78 cnf(matrix-4439, plain, ( c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) )).
% 12.54/12.78 cnf(matrix-4440, plain, ( ~class_Int_Onumber__ring(_u7719) | ~c_Int_Oiszero(_u7719, hAPP(c_Int_Onumber__class_Onumber__of(_u7719), c_Int_OBit1(c_Int_OPls))) )).
% 12.54/12.78 cnf(matrix-4441, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.78 cnf(matrix-4442, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 12.54/12.78 cnf(matrix-4443, plain, ( ~class_Groups_Omonoid__mult(_u7720) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7720), _u7721), 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(_u7720), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7720), _u7721), _u7721)), _u7721)) )).
% 12.54/12.78 cnf(matrix-4444, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) )).
% 12.54/12.78 cnf(matrix-4445, plain, ( ( hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u7722))) = 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)))), _u7722)) )).
% 12.54/12.78 cnf(matrix-4446, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) )).
% 12.54/12.78 cnf(matrix-4447, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) )).
% 12.54/12.78 cnf(matrix-4448, plain, ( ~class_Int_Onumber__ring(_u7723) | ~class_Rings_Olinordered__idom(_u7723) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7723), c_Groups_Oone__class_Oone(_u7723)), hAPP(c_Int_Onumber__class_Onumber__of(_u7723), _u7724))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u7724)) )).
% 12.54/12.78 cnf(matrix-4449, plain, ( ~class_Int_Onumber__ring(_u7723) | ~class_Rings_Olinordered__idom(_u7723) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u7724)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7723), c_Groups_Oone__class_Oone(_u7723)), hAPP(c_Int_Onumber__class_Onumber__of(_u7723), _u7724))) )).
% 12.54/12.78 cnf(matrix-4450, plain, ( ~class_Int_Onumber__ring(_u7725) | ~class_Rings_Olinordered__idom(_u7725) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7725), hAPP(c_Int_Onumber__class_Onumber__of(_u7725), _u7726)), c_Groups_Oone__class_Oone(_u7725))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7726), c_Int_OBit1(c_Int_OPls))) )).
% 12.54/12.78 cnf(matrix-4451, plain, ( ~class_Int_Onumber__ring(_u7725) | ~class_Rings_Olinordered__idom(_u7725) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7726), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7725), hAPP(c_Int_Onumber__class_Onumber__of(_u7725), _u7726)), c_Groups_Oone__class_Oone(_u7725))) )).
% 12.54/12.78 cnf(matrix-4452, plain, ( ~class_Int_Onumber__ring(_u7727) | ~class_Rings_Olinordered__idom(_u7727) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7727), c_Groups_Oone__class_Oone(_u7727)), hAPP(c_Int_Onumber__class_Onumber__of(_u7727), _u7728))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u7728)) )).
% 12.54/12.78 cnf(matrix-4453, plain, ( ~class_Int_Onumber__ring(_u7727) | ~class_Rings_Olinordered__idom(_u7727) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u7728)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7727), c_Groups_Oone__class_Oone(_u7727)), hAPP(c_Int_Onumber__class_Onumber__of(_u7727), _u7728))) )).
% 12.54/12.78 cnf(matrix-4454, plain, ( ~class_Int_Onumber__ring(_u7729) | ~class_Rings_Olinordered__idom(_u7729) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7729), hAPP(c_Int_Onumber__class_Onumber__of(_u7729), _u7730)), c_Groups_Oone__class_Oone(_u7729))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7730), c_Int_OBit1(c_Int_OPls))) )).
% 12.54/12.78 cnf(matrix-4455, plain, ( ~class_Int_Onumber__ring(_u7729) | ~class_Rings_Olinordered__idom(_u7729) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7730), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7729), hAPP(c_Int_Onumber__class_Onumber__of(_u7729), _u7730)), c_Groups_Oone__class_Oone(_u7729))) )).
% 12.54/12.78 cnf(matrix-4456, plain, ( ~class_Int_Onumber__ring(_u7731) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7731), hAPP(c_Int_Onumber__class_Onumber__of(_u7731), _u7732)), c_Groups_Oone__class_Oone(_u7731)) = hAPP(c_Int_Onumber__class_Onumber__of(_u7731), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7732), c_Int_OBit1(c_Int_OPls)))) )).
% 12.54/12.78 cnf(matrix-4457, plain, ( ~class_Int_Onumber__ring(_u7733) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7733), c_Groups_Oone__class_Oone(_u7733)), hAPP(c_Int_Onumber__class_Onumber__of(_u7733), _u7734)) = hAPP(c_Int_Onumber__class_Onumber__of(_u7733), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u7734))) )).
% 12.54/12.78 cnf(matrix-4458, 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)), _u7735)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7736)), _u7735) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7736), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7735), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls))))) )).
% 12.54/12.78 cnf(matrix-4459, plain, ( ( _u7739 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u7741, _u7739) = _u7741) )).
% 12.54/12.78 cnf(matrix-4460, plain, ( ( _u7740 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u7742, _u7740) = c_Nitpick_Onat__gcd(_u7740, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7742, _u7740))) )).
% 12.54/12.78 cnf(matrix-4461, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u7743))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7744)) = 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)))), _u7743), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7744))) )).
% 12.54/12.78 cnf(matrix-4462, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u7745))), _u7746) = 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)))), _u7745), _u7746)) )).
% 12.54/12.78 cnf(matrix-4463, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7747, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u7748)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7747, 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)))), _u7748))) )).
% 12.54/12.78 cnf(matrix-4464, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u7749)))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7750)) = 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)))), _u7749)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7750))) )).
% 12.54/12.78 cnf(matrix-4465, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u7751)))), _u7752) = 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)))), _u7751)), _u7752)) )).
% 12.54/12.78 cnf(matrix-4466, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7753), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u7754)))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7753), 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)))), _u7754))) )).
% 12.54/12.78 cnf(matrix-4467, plain, ( ( hAPP(hAPP(c_Nitpick_Oint__gcd, _u7755), _u7756) = 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), _u7755)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7756))))) )).
% 12.54/12.78 cnf(matrix-4468, 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), _u7759))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u7761)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u7759))) = 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), _u7761), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7759)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-4469, 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), _u7760))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u7762)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u7760))) = 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), _u7762)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7760)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-4470, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7763), 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)))), _u7764)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u7763)) = 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), _u7764), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u7763))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-4471, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7765)) | ( 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)))), _u7766))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u7765)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7766), _u7765)) )).
% 12.54/12.78 cnf(matrix-4472, plain, ( ( c_Int_OBit1(_u7767) != c_Int_OBit0(_u7768)) )).
% 12.54/12.78 cnf(matrix-4473, plain, ( ( c_Int_OBit0(_u7769) != c_Int_OBit1(_u7770)) )).
% 12.54/12.78 cnf(matrix-4474, plain, ( ( c_Int_OBit0(_u7772) != c_Int_OPls) | ( _u7772 = c_Int_OPls) )).
% 12.54/12.78 cnf(matrix-4475, plain, ( ( _u7773 != c_Int_OPls) | ( c_Int_OBit0(_u7773) = c_Int_OPls) )).
% 12.54/12.78 cnf(matrix-4476, plain, ( ( c_Int_OPls != c_Int_OBit0(_u7775)) | ( c_Int_OPls = _u7775) )).
% 12.54/12.78 cnf(matrix-4477, plain, ( ( c_Int_OPls != _u7776) | ( c_Int_OPls = c_Int_OBit0(_u7776)) )).
% 12.54/12.78 cnf(matrix-4478, plain, ( ( c_Int_OBit0(c_Int_OPls) = c_Int_OPls) )).
% 12.54/12.78 cnf(matrix-4479, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u7779)), c_Int_OBit0(_u7781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7779), _u7781)) )).
% 12.54/12.78 cnf(matrix-4480, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7780), _u7782)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u7780)), c_Int_OBit0(_u7782))) )).
% 12.54/12.78 cnf(matrix-4481, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u7785)), c_Int_OBit0(_u7787))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7785), _u7787)) )).
% 12.54/12.78 cnf(matrix-4482, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7786), _u7788)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u7786)), c_Int_OBit0(_u7788))) )).
% 12.54/12.78 cnf(matrix-4483, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u7791)), c_Int_OBit0(_u7793))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7791), _u7793)) )).
% 12.54/12.78 cnf(matrix-4484, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7792), _u7794)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u7792)), c_Int_OBit0(_u7794))) )).
% 12.54/12.78 cnf(matrix-4485, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u7797)), c_Int_OBit0(_u7799))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7797), _u7799)) )).
% 12.54/12.78 cnf(matrix-4486, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7798), _u7800)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u7798)), c_Int_OBit0(_u7800))) )).
% 12.54/12.78 cnf(matrix-4487, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u7801)), c_Int_OBit0(_u7802)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7801), _u7802))) )).
% 12.54/12.78 cnf(matrix-4488, plain, ( ( c_Int_OBit0(_u7803) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7803), _u7803)) )).
% 12.54/12.78 cnf(matrix-4489, plain, ( ( c_Int_OBit0(_u7806) != c_Int_OBit0(_u7808)) | ( _u7806 = _u7808) )).
% 12.54/12.78 cnf(matrix-4490, plain, ( ( _u7807 != _u7809) | ( c_Int_OBit0(_u7807) = c_Int_OBit0(_u7809)) )).
% 12.54/12.78 cnf(matrix-4491, plain, ( ( c_Int_OBit0(_u7810) != c_Int_OMin) )).
% 12.54/12.78 cnf(matrix-4492, plain, ( ( c_Int_OMin != c_Int_OBit0(_u7811)) )).
% 12.54/12.78 cnf(matrix-4493, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit0(_u7812)) = c_Int_OBit0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7812))) )).
% 12.54/12.78 cnf(matrix-4494, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u7813)), c_Int_OBit0(_u7814)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7813), _u7814))) )).
% 12.54/12.78 cnf(matrix-4495, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit0(_u7815)), _u7816) = c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7815), _u7816))) )).
% 12.54/12.78 cnf(matrix-4496, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u7819)), c_Int_OBit0(_u7821))) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u7819), _u7821)) )).
% 12.54/12.78 cnf(matrix-4497, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u7820), _u7822)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u7820)), c_Int_OBit0(_u7822))) )).
% 12.54/12.78 cnf(matrix-4498, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u7824)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7824), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-4499, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7825), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u7825)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-4500, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u7827))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u7827)) )).
% 12.54/12.78 cnf(matrix-4501, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u7828)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u7828))) )).
% 12.54/12.78 cnf(matrix-4502, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u7830)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7830), c_Int_OPls)) )).
% 12.54/12.78 cnf(matrix-4503, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7831), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u7831)), c_Int_OPls)) )).
% 12.54/12.78 cnf(matrix-4504, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u7834)), c_Int_OBit1(_u7836))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7834), _u7836)) )).
% 12.54/12.78 cnf(matrix-4505, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7835), _u7837)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u7835)), c_Int_OBit1(_u7837))) )).
% 12.54/12.78 cnf(matrix-4506, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u7840)), c_Int_OBit1(_u7842))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7840), _u7842)) )).
% 12.54/12.78 cnf(matrix-4507, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7841), _u7843)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u7841)), c_Int_OBit1(_u7843))) )).
% 12.54/12.78 cnf(matrix-4508, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u7845)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7845), c_Int_OPls)) )).
% 12.54/12.78 cnf(matrix-4509, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7846), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u7846)), c_Int_OPls)) )).
% 12.54/12.78 cnf(matrix-4510, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u7848))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u7848)) )).
% 12.54/12.78 cnf(matrix-4511, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u7849)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u7849))) )).
% 12.54/12.78 cnf(matrix-4512, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u7852)), c_Int_OBit0(_u7854))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7852), _u7854)) )).
% 12.54/12.78 cnf(matrix-4513, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7853), _u7855)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u7853)), c_Int_OBit0(_u7855))) )).
% 12.54/12.78 cnf(matrix-4514, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u7858)), c_Int_OBit0(_u7860))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7858), _u7860)) )).
% 12.54/12.78 cnf(matrix-4515, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7859), _u7861)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u7859)), c_Int_OBit0(_u7861))) )).
% 12.54/12.78 cnf(matrix-4516, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u7862)), c_Int_OBit0(_u7863)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7862), _u7863))) )).
% 12.54/12.78 cnf(matrix-4517, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u7864)), c_Int_OBit1(_u7865)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7864), _u7865))) )).
% 12.54/12.78 cnf(matrix-4518, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u7866)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), _u7866))) )).
% 12.54/12.78 cnf(matrix-4519, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u7867)), c_Int_OBit1(_u7868)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7867), _u7868))) )).
% 12.54/12.78 cnf(matrix-4520, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u7869)), c_Int_OBit0(_u7870)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7869), _u7870))) )).
% 12.54/12.78 cnf(matrix-4521, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u7872)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7872), c_Int_OMin)) )).
% 12.54/12.78 cnf(matrix-4522, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7873), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u7873)), c_Int_OMin)) )).
% 12.54/12.78 cnf(matrix-4523, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u7875))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u7875)) )).
% 12.54/12.78 cnf(matrix-4524, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u7876)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u7876))) )).
% 12.54/12.78 cnf(matrix-4525, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u7877))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u7878))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7877)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7878))) )).
% 12.54/12.78 cnf(matrix-4526, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u7880)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7880))) )).
% 12.54/12.78 cnf(matrix-4527, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7881))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u7881)))) )).
% 12.54/12.78 cnf(matrix-4528, plain, ( ( c_Int_Opred(c_Int_OBit0(_u7882)) = c_Int_OBit1(c_Int_Opred(_u7882))) )).
% 12.54/12.78 cnf(matrix-4529, plain, ( ( c_Int_Opred(c_Int_OBit1(_u7883)) = c_Int_OBit0(_u7883)) )).
% 12.54/12.78 cnf(matrix-4530, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u7885)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u7885), c_Int_OPls)) )).
% 12.54/12.78 cnf(matrix-4531, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), _u7886), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u7886)), c_Int_OPls)) )).
% 12.54/12.78 cnf(matrix-4532, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u7888))) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), _u7888)) )).
% 12.54/12.78 cnf(matrix-4533, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), _u7889)) | hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u7889))) )).
% 12.54/12.78 cnf(matrix-4534, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit1(_u7890)), c_Int_OBit0(_u7891))) )).
% 12.54/12.78 cnf(matrix-4535, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u7892)), c_Int_OBit1(_u7893))) )).
% 12.54/12.78 cnf(matrix-4536, plain, ( ( c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin)) )).
% 12.54/12.78 cnf(matrix-4537, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OBit0(_u7894)), c_Int_OMin)) )).
% 12.54/12.78 cnf(matrix-4538, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u7895))) )).
% 12.54/12.78 cnf(matrix-4539, plain, ( ~class_Int_Onumber__ring(_u7896) | ~class_Int_Oring__char__0(_u7896) | ~c_Int_Oiszero(_u7896, hAPP(c_Int_Onumber__class_Onumber__of(_u7896), c_Int_OBit0(_u7897))) | c_Int_Oiszero(_u7896, hAPP(c_Int_Onumber__class_Onumber__of(_u7896), _u7897)) )).
% 12.54/12.78 cnf(matrix-4540, plain, ( ~class_Int_Onumber__ring(_u7896) | ~class_Int_Oring__char__0(_u7896) | ~c_Int_Oiszero(_u7896, hAPP(c_Int_Onumber__class_Onumber__of(_u7896), _u7897)) | c_Int_Oiszero(_u7896, hAPP(c_Int_Onumber__class_Onumber__of(_u7896), c_Int_OBit0(_u7897))) )).
% 12.54/12.78 cnf(matrix-4541, plain, ( ( c_Int_Osucc(c_Int_OBit1(_u7898)) = c_Int_OBit0(c_Int_Osucc(_u7898))) )).
% 12.54/12.78 cnf(matrix-4542, plain, ( ( c_Int_Osucc(c_Int_OBit0(_u7899)) = c_Int_OBit1(_u7899)) )).
% 12.54/12.78 cnf(matrix-4543, plain, ( ~class_Int_Onumber__ring(_u7900) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u7900), c_Int_OBit0(_u7901)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7900), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7900), c_Groups_Ozero__class_Ozero(_u7900)), hAPP(c_Int_Onumber__class_Onumber__of(_u7900), _u7901))), hAPP(c_Int_Onumber__class_Onumber__of(_u7900), _u7901))) )).
% 12.54/12.78 cnf(matrix-4544, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u7904)), c_Int_OBit1(_u7906))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7904), _u7906)) )).
% 12.54/12.78 cnf(matrix-4545, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7905), _u7907)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u7905)), c_Int_OBit1(_u7907))) )).
% 12.54/12.78 cnf(matrix-4546, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u7910)), c_Int_OBit1(_u7912))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7910), _u7912)) )).
% 12.54/12.78 cnf(matrix-4547, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7911), _u7913)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u7911)), c_Int_OBit1(_u7913))) )).
% 12.54/12.78 cnf(matrix-4548, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u7916)), c_Int_OBit0(_u7918))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7916), _u7918)) )).
% 12.54/12.78 cnf(matrix-4549, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7917), _u7919)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u7917)), c_Int_OBit0(_u7919))) )).
% 12.54/12.78 cnf(matrix-4550, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u7922)), c_Int_OBit0(_u7924))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7922), _u7924)) )).
% 12.54/12.78 cnf(matrix-4551, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7923), _u7925)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u7923)), c_Int_OBit0(_u7925))) )).
% 12.54/12.78 cnf(matrix-4552, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool, tc_HOL_Obool))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.54/12.78 cnf(matrix-4553, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit1(_u7926)), _u7927) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7926), _u7927))), _u7927)) )).
% 12.54/12.78 cnf(matrix-4554, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u7929))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u7929)) )).
% 12.54/12.78 cnf(matrix-4555, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u7930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u7930))) )).
% 12.54/12.78 cnf(matrix-4556, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u7932)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7932), c_Int_OMin)) )).
% 12.54/12.78 cnf(matrix-4557, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7933), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u7933)), c_Int_OMin)) )).
% 12.54/12.78 cnf(matrix-4558, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u7934)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u7934))) )).
% 12.54/12.78 cnf(matrix-4559, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u7935)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u7935))) )).
% 12.54/12.78 cnf(matrix-4560, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u7936)), c_Int_OBit1(_u7937)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_Opred(_u7936)), _u7937))) )).
% 12.54/12.78 cnf(matrix-4561, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u7938)), c_Int_OBit1(_u7939)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7938), c_Int_Osucc(_u7939)))) )).
% 12.54/12.78 cnf(matrix-4562, plain, ( ~class_Int_Onumber__ring(_u7940) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7940), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7940), c_Groups_Oone__class_Oone(_u7940)), c_Groups_Oone__class_Oone(_u7940))), hAPP(c_Int_Onumber__class_Onumber__of(_u7940), _u7941)) = hAPP(c_Int_Onumber__class_Onumber__of(_u7940), c_Int_OBit0(_u7941))) )).
% 12.54/12.78 cnf(matrix-4563, 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), _u7942))) | 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(_u7942)))) )).
% 12.54/12.78 cnf(matrix-4564, 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), _u7942))) | 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(_u7942)))) )).
% 12.54/12.78 cnf(matrix-4565, plain, ( c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.54/12.78 cnf(matrix-4566, plain, ( ~class_Int_Onumber__ring(_u7943) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7943), _u7944), hAPP(c_Int_Onumber__class_Onumber__of(_u7943), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7943), _u7944), _u7944)) )).
% 12.54/12.78 cnf(matrix-4567, plain, ( ~class_Int_Onumber__ring(_u7945) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7945), hAPP(c_Int_Onumber__class_Onumber__of(_u7945), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u7946) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7945), _u7946), _u7946)) )).
% 12.54/12.78 cnf(matrix-4568, plain, ( ~class_Int_Onumber__ring(_u7947) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7947), c_Groups_Oone__class_Oone(_u7947)), c_Groups_Oone__class_Oone(_u7947)) = hAPP(c_Int_Onumber__class_Onumber__of(_u7947), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.54/12.78 cnf(matrix-4569, plain, ( ~class_Rings_Osemiring__1(_u7948) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7948), c_Groups_Ozero__class_Ozero(_u7948)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u7948)) )).
% 12.54/12.78 cnf(matrix-4570, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u7949) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7949), _u7950), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(_u7949)) | ( _u7950 = c_Groups_Ozero__class_Ozero(_u7949)) )).
% 12.54/12.78 cnf(matrix-4571, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u7949) | ( _u7950 != c_Groups_Ozero__class_Ozero(_u7949)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7949), _u7950), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u7949)) )).
% 12.54/12.78 cnf(matrix-4572, plain, ( ( hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.54/12.78 cnf(matrix-4573, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.54/12.78 cnf(matrix-4574, plain, ( ~class_Rings_Ocomm__semiring__1(_u7951) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7951), _u7952), _u7952) = hAPP(hAPP(c_Power_Opower__class_Opower(_u7951), _u7952), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.54/12.78 cnf(matrix-4575, plain, ( ~class_Groups_Omonoid__mult(_u7953) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7953), _u7954), 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(_u7953), _u7954), _u7954)) )).
% 12.54/12.78 cnf(matrix-4576, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.54/12.78 cnf(matrix-4577, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7955), 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, _u7955))) )).
% 12.54/12.78 cnf(matrix-4578, 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)))), _u7956) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u7956))) )).
% 12.54/12.78 cnf(matrix-4579, plain, ( ~class_Rings_Osemiring__1(_u7957) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7957), c_Groups_Oone__class_Oone(_u7957)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u7957)) )).
% 12.54/12.78 cnf(matrix-4580, plain, ( ~class_Rings_Oring__1(_u7958) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7958), hAPP(c_Groups_Ouminus__class_Ouminus(_u7958), _u7959)), 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(_u7958), _u7959), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.54/12.78 cnf(matrix-4581, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7960), 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), _u7960), _u7960)) )).
% 12.54/12.78 cnf(matrix-4582, 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)))), _u7961) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7961), _u7961)) )).
% 12.54/12.78 cnf(matrix-4583, plain, ( ~class_Groups_Omonoid__mult(_u7962) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7962), _u7963), 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)))), _u7964)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u7962), hAPP(hAPP(c_Power_Opower__class_Opower(_u7962), _u7963), _u7964)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.54/12.78 cnf(matrix-4584, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.54/12.78 cnf(matrix-4585, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.54/12.78 cnf(matrix-4586, plain, ( ~class_Rings_Olinordered__idom(_u7965) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7965), hAPP(c_Groups_Oabs__class_Oabs(_u7965), _u7966)), 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(_u7965), _u7966), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.54/12.78 cnf(matrix-4587, plain, ( ~class_Rings_Olinordered__idom(_u7967) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7967), hAPP(hAPP(c_Power_Opower__class_Opower(_u7967), _u7968), 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(_u7967), _u7968), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.54/12.78 cnf(matrix-4588, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.54/12.78 cnf(matrix-4589, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u7969)), 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, _u7969, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.54/12.78 cnf(matrix-4590, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u7970))), 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), _u7970), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.54/12.78 cnf(matrix-4591, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u7971)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u7972))) = hAPP(hAPP(c_Groups_Otimes__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), _u7971), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7972)))) )).
% 12.54/12.78 cnf(matrix-4592, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7973), _u7973)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _u7973) )).
% 12.54/12.78 cnf(matrix-4593, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u7974) | ~class_Int_Onumber__ring(_u7974) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7974), c_Groups_Ozero__class_Ozero(_u7974)), _u7975)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7974), c_Groups_Ozero__class_Ozero(_u7974)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7974), _u7975), hAPP(c_Int_Onumber__class_Onumber__of(_u7974), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.54/12.78 cnf(matrix-4594, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u7976) | ~class_Int_Onumber__ring(_u7976) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7976), c_Groups_Ozero__class_Ozero(_u7976)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7976), _u7977), hAPP(c_Int_Onumber__class_Onumber__of(_u7976), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7976), c_Groups_Ozero__class_Ozero(_u7976)), _u7977)) )).
% 12.54/12.78 cnf(matrix-4595, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u7976) | ~class_Int_Onumber__ring(_u7976) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7976), c_Groups_Ozero__class_Ozero(_u7976)), _u7977)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7976), c_Groups_Ozero__class_Ozero(_u7976)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7976), _u7977), hAPP(c_Int_Onumber__class_Onumber__of(_u7976), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.54/12.78 cnf(matrix-4596, plain, ( ~class_Rings_Olinordered__idom(_u7978) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7978), c_Groups_Ozero__class_Ozero(_u7978)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7978), _u7979), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.54/12.78 cnf(matrix-4597, plain, ( ~class_Rings_Olinordered__semidom(_u7980) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7980), hAPP(hAPP(c_Power_Opower__class_Opower(_u7980), _u7981), 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(_u7980), _u7982), 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(_u7980), c_Groups_Ozero__class_Ozero(_u7980)), _u7982)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7980), _u7981), _u7982)) )).
% 12.54/12.78 cnf(matrix-4598, plain, ( ~class_Rings_Olinordered__semidom(_u7983) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7983), _u7984), 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(_u7983), _u7985), 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(_u7983), c_Groups_Ozero__class_Ozero(_u7983)), _u7984)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7983), c_Groups_Ozero__class_Ozero(_u7983)), _u7985)) | ( _u7984 = _u7985) )).
% 12.54/12.78 cnf(matrix-4599, plain, ( ~class_Rings_Olinordered__idom(_u7986) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7986), hAPP(hAPP(c_Power_Opower__class_Opower(_u7986), _u7987), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u7986))) )).
% 12.54/12.78 cnf(matrix-4600, plain, ( ~class_Rings_Olinordered__idom(_u7988) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7988), c_Groups_Ozero__class_Ozero(_u7988)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7988), _u7989), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u7989 != c_Groups_Ozero__class_Ozero(_u7988)) )).
% 12.54/12.78 cnf(matrix-4601, plain, ( ~class_Rings_Olinordered__idom(_u7988) | ( _u7989 = c_Groups_Ozero__class_Ozero(_u7988)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7988), c_Groups_Ozero__class_Ozero(_u7988)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7988), _u7989), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.54/12.78 cnf(matrix-4602, plain, ( ~class_Rings_Olinordered__idom(_u7990) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7990), hAPP(hAPP(c_Power_Opower__class_Opower(_u7990), _u7991), 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(_u7990), _u7992), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u7990)) | ( _u7991 = c_Groups_Ozero__class_Ozero(_u7990)) )).
% 12.54/12.78 cnf(matrix-4603, plain, ( ~class_Rings_Olinordered__idom(_u7990) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7990), hAPP(hAPP(c_Power_Opower__class_Opower(_u7990), _u7991), 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(_u7990), _u7992), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u7990)) | ( _u7992 = c_Groups_Ozero__class_Ozero(_u7990)) )).
% 12.54/12.78 cnf(matrix-4604, plain, ( ~class_Rings_Olinordered__idom(_u7990) | ( _u7991 != c_Groups_Ozero__class_Ozero(_u7990)) | ( _u7992 != c_Groups_Ozero__class_Ozero(_u7990)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7990), hAPP(hAPP(c_Power_Opower__class_Opower(_u7990), _u7991), 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(_u7990), _u7992), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(_u7990)) )).
% 12.54/12.78 cnf(matrix-4605, plain, ( ~class_Groups_Omonoid__mult(_u7993) | ~class_Int_Onumber(_u7993) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7993), hAPP(c_Int_Onumber__class_Onumber__of(_u7993), _u7994)), 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(_u7993), hAPP(c_Int_Onumber__class_Onumber__of(_u7993), _u7994)), hAPP(c_Int_Onumber__class_Onumber__of(_u7993), _u7994))) )).
% 12.54/12.78 cnf(matrix-4606, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7995), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ( _u7995 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7995 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.78 cnf(matrix-4607, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.54/12.78 cnf(matrix-4608, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u7996) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7996), _u7997), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Oone__class_Oone(_u7996)) | ( _u7997 = c_Groups_Oone__class_Oone(_u7996)) | ( _u7997 = hAPP(c_Groups_Ouminus__class_Ouminus(_u7996), c_Groups_Oone__class_Oone(_u7996))) )).
% 12.54/12.78 cnf(matrix-4609, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u7996) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7996), _u7997), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u7996)) | ( _u7997 != c_Groups_Oone__class_Oone(_u7996)) )).
% 12.54/12.78 cnf(matrix-4610, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u7996) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7996), _u7997), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u7996)) | ( _u7997 != hAPP(c_Groups_Ouminus__class_Ouminus(_u7996), c_Groups_Oone__class_Oone(_u7996))) )).
% 12.54/12.78 cnf(matrix-4611, plain, ( ~class_Rings_Ocomm__semiring__1(_u7998) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7998), _u7999), 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)))), _u8000)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7998), hAPP(hAPP(c_Power_Opower__class_Opower(_u7998), _u7999), _u8000)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7998), _u7999), _u8000))) )).
% 12.54/12.78 cnf(matrix-4612, plain, ( ~class_Rings_Oring__1(_u8001) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8001), hAPP(c_Groups_Ouminus__class_Ouminus(_u8001), _u8002)), 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)))), _u8003)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8001), _u8002), 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)))), _u8003))) )).
% 12.54/12.78 cnf(matrix-4613, plain, ( ~class_Rings_Olinordered__semidom(_u8004) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8004), hAPP(hAPP(c_Power_Opower__class_Opower(_u8004), _u8005), 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(_u8004), _u8006), 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(_u8004), c_Groups_Ozero__class_Ozero(_u8004)), _u8006)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8004), _u8005), _u8006)) )).
% 12.54/12.78 cnf(matrix-4614, plain, ( ~class_Rings_Olinordered__idom(_u8007) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8007), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8007), hAPP(hAPP(c_Power_Opower__class_Opower(_u8007), _u8008), 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(_u8007), _u8009), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u8007))) | ( _u8008 = c_Groups_Ozero__class_Ozero(_u8007)) )).
% 12.54/12.78 cnf(matrix-4615, plain, ( ~class_Rings_Olinordered__idom(_u8007) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8007), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8007), hAPP(hAPP(c_Power_Opower__class_Opower(_u8007), _u8008), 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(_u8007), _u8009), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u8007))) | ( _u8009 = c_Groups_Ozero__class_Ozero(_u8007)) )).
% 12.54/12.78 cnf(matrix-4616, plain, ( ~class_Rings_Olinordered__idom(_u8007) | ( _u8008 != c_Groups_Ozero__class_Ozero(_u8007)) | ( _u8009 != c_Groups_Ozero__class_Ozero(_u8007)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8007), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8007), hAPP(hAPP(c_Power_Opower__class_Opower(_u8007), _u8008), 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(_u8007), _u8009), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u8007))) )).
% 12.54/12.78 cnf(matrix-4617, plain, ( ~class_Rings_Olinordered__idom(_u8010) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8010), c_Groups_Ozero__class_Ozero(_u8010)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8010), hAPP(hAPP(c_Power_Opower__class_Opower(_u8010), _u8011), 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(_u8010), _u8012), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 12.54/12.78 cnf(matrix-4618, plain, ( ~class_Rings_Olinordered__idom(_u8013) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8013), c_Groups_Ozero__class_Ozero(_u8013)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8013), hAPP(hAPP(c_Power_Opower__class_Opower(_u8013), _u8014), 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(_u8013), _u8015), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u8014 != c_Groups_Ozero__class_Ozero(_u8013)) | ( _u8015 != c_Groups_Ozero__class_Ozero(_u8013)) )).
% 12.54/12.78 cnf(matrix-4619, plain, ( ~class_Rings_Olinordered__idom(_u8013) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8013), c_Groups_Ozero__class_Ozero(_u8013)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8013), hAPP(hAPP(c_Power_Opower__class_Opower(_u8013), _u8014), 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(_u8013), _u8015), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u8014 = c_Groups_Ozero__class_Ozero(_u8013)) )).
% 12.54/12.78 cnf(matrix-4620, plain, ( ~class_Rings_Olinordered__idom(_u8013) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8013), c_Groups_Ozero__class_Ozero(_u8013)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8013), hAPP(hAPP(c_Power_Opower__class_Opower(_u8013), _u8014), 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(_u8013), _u8015), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u8015 = c_Groups_Ozero__class_Ozero(_u8013)) )).
% 12.54/12.78 cnf(matrix-4621, plain, ( ~class_Rings_Olinordered__idom(_u8016) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8016), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8016), hAPP(hAPP(c_Power_Opower__class_Opower(_u8016), _u8017), 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(_u8016), _u8018), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u8016))) )).
% 12.54/12.78 cnf(matrix-4622, plain, ( ~class_Int_Onumber__ring(_u8019) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8019), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8019), _u8020), _u8021)), 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(_u8019), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8019), hAPP(hAPP(c_Power_Opower__class_Opower(_u8019), _u8020), 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(_u8019), _u8021), 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(_u8019), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8019), hAPP(c_Int_Onumber__class_Onumber__of(_u8019), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u8020)), _u8021))) )).
% 12.54/12.78 cnf(matrix-4623, plain, ( ~class_Rings_Olinordered__idom(_u8022) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8022), c_Groups_Ozero__class_Ozero(_u8022)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8022), _u8023), 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)))), _u8024)))) )).
% 12.54/12.78 cnf(matrix-4624, plain, ( ~class_Groups_Omonoid__mult(_u8025) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8025), _u8026), 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)))), _u8027))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8025), _u8026), hAPP(hAPP(c_Power_Opower__class_Opower(_u8025), hAPP(hAPP(c_Power_Opower__class_Opower(_u8025), _u8026), _u8027)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.54/12.78 cnf(matrix-4625, plain, ( ~class_Rings_Ocomm__semiring__1(_u8028) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8028), _u8029), 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)))), _u8030))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8028), _u8029), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8028), hAPP(hAPP(c_Power_Opower__class_Opower(_u8028), _u8029), _u8030)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8028), _u8029), _u8030)))) )).
% 12.54/12.78 cnf(matrix-4626, plain, ( ~class_Rings_Oring__1(_u8031) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8031), hAPP(c_Groups_Ouminus__class_Ouminus(_u8031), c_Groups_Oone__class_Oone(_u8031))), 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)))), _u8032)) = c_Groups_Oone__class_Oone(_u8031)) )).
% 12.54/12.78 cnf(matrix-4627, 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), _u8035))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u8037))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u8035))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8037)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8035))) )).
% 12.54/12.78 cnf(matrix-4628, 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), _u8036))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u8038))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u8036))) = 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), _u8038)), c_Groups_Oone__class_Oone(tc_Int_Oint))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8036))) )).
% 12.54/12.78 cnf(matrix-4629, 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, _u8040, 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, _u8040, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-4630, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8041, 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, _u8041, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.54/12.78 cnf(matrix-4631, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u8042)) | 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), _u8042), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.54/12.78 cnf(matrix-4632, plain, ( ~class_Int_Onumber__ring(_u8043) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8043), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8043), _u8044), _u8045)), 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(_u8043), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8043), hAPP(hAPP(c_Power_Opower__class_Opower(_u8043), _u8044), 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(_u8043), _u8045), 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(_u8043), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8043), hAPP(c_Int_Onumber__class_Onumber__of(_u8043), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u8044)), _u8045))) )).
% 12.54/12.78 cnf(matrix-4633, plain, ( ~class_Rings_Olinordered__idom(_u8046) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8046), c_Groups_Ozero__class_Ozero(_u8046)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8046), _u8047), 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)))), _u8048))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8046), c_Groups_Ozero__class_Ozero(_u8046)), _u8047)) )).
% 12.54/12.78 cnf(matrix-4634, plain, ( ~class_Rings_Olinordered__idom(_u8049) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8049), _u8050), c_Groups_Ozero__class_Ozero(_u8049))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8049), hAPP(hAPP(c_Power_Opower__class_Opower(_u8049), _u8050), 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)))), _u8051)))), c_Groups_Ozero__class_Ozero(_u8049))) )).
% 12.54/12.78 cnf(matrix-4635, plain, ( ~class_Rings_Oring__1(_u8052) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8052), hAPP(c_Groups_Ouminus__class_Ouminus(_u8052), c_Groups_Oone__class_Oone(_u8052))), 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)))), _u8053))) = hAPP(c_Groups_Ouminus__class_Ouminus(_u8052), c_Groups_Oone__class_Oone(_u8052))) )).
% 12.54/12.78 cnf(matrix-4636, plain, ( ~class_Int_Onumber__ring(_u8054) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8054), hAPP(c_Int_Onumber__class_Onumber__of(_u8054), 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)))), _u8055)) = c_Groups_Oone__class_Oone(_u8054)) )).
% 12.54/12.78 cnf(matrix-4637, plain, ( ~class_Int_Onumber__ring(_u8056) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8056), hAPP(c_Int_Onumber__class_Onumber__of(_u8056), 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)))), _u8057))) = hAPP(c_Int_Onumber__class_Onumber__of(_u8056), c_Int_OMin)) )).
% 12.54/12.78 cnf(matrix-4638, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8058)) | 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), _u8058), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.54/12.78 cnf(matrix-4639, plain, ( ~class_Rings_Osemiring__1(_u8059) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8060)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8059), 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)))), _u8060))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8059), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8059), hAPP(c_Int_Onat, _u8060))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8059), hAPP(c_Int_Onat, _u8060)))) )).
% 12.54/12.78 cnf(matrix-4640, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8061)) | ( 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)))), _u8062)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u8061)) = 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, _u8062, _u8061)))) )).
% 12.54/12.78 cnf(matrix-4641, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8063), 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)))), _u8064))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u8063)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8064), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8063)) )).
% 12.54/12.78 cnf(matrix-4642, plain, ( ( _u8066 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Code__Numeral_Oint__of, _u8066) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.78 cnf(matrix-4643, plain, ( ( _u8067 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u8067, 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, _u8067) = hAPP(hAPP(c_Groups_Otimes__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), _u8067), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 12.54/12.78 cnf(matrix-4644, plain, ( ( _u8067 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u8067, 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, _u8067) = 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), _u8067), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-4645, plain, ( ( c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit1(c_Int_OPls))) )).
% 12.54/12.78 cnf(matrix-4646, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem208(_u8072, _u8071, _u8070)), _u8070)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8071, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8072), hAPP(_u8071, _u8070))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem209(_u8072, _u8071, _u8070)), _u8070)) )).
% 12.54/12.78 cnf(matrix-4647, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem208(_u8072, _u8071, _u8070)), _u8070)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8071, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8072), hAPP(_u8071, _u8070))) | ( hAPP(_u8071, skolem209(_u8072, _u8071, _u8070)) = _u8072) )).
% 12.54/12.78 cnf(matrix-4648, 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(_u8071, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem208(_u8072, _u8071, _u8070)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u8071, skolem208(_u8072, _u8071, _u8070))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8071, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8072), hAPP(_u8071, _u8070))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem209(_u8072, _u8071, _u8070)), _u8070)) )).
% 12.54/12.78 cnf(matrix-4649, 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(_u8071, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem208(_u8072, _u8071, _u8070)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u8071, skolem208(_u8072, _u8071, _u8070))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8071, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8072), hAPP(_u8071, _u8070))) | ( hAPP(_u8071, skolem209(_u8072, _u8071, _u8070)) = _u8072) )).
% 12.54/12.78 cnf(matrix-4650, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem210(_u8077, _u8076, _u8075)), _u8075)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8076, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8077)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8077), hAPP(_u8076, _u8075))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem211(_u8077, _u8076, _u8075)), _u8075)) )).
% 12.54/12.78 cnf(matrix-4651, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem210(_u8077, _u8076, _u8075)), _u8075)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8076, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8077)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8077), hAPP(_u8076, _u8075))) | ( hAPP(_u8076, skolem211(_u8077, _u8076, _u8075)) = _u8077) )).
% 12.54/12.78 cnf(matrix-4652, 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(_u8076, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem210(_u8077, _u8076, _u8075)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u8076, skolem210(_u8077, _u8076, _u8075))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8076, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8077)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8077), hAPP(_u8076, _u8075))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem211(_u8077, _u8076, _u8075)), _u8075)) )).
% 12.54/12.78 cnf(matrix-4653, 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(_u8076, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem210(_u8077, _u8076, _u8075)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u8076, skolem210(_u8077, _u8076, _u8075))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8076, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8077)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8077), hAPP(_u8076, _u8075))) | ( hAPP(_u8076, skolem211(_u8077, _u8076, _u8075)) = _u8077) )).
% 12.54/12.78 cnf(matrix-4654, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 12.54/12.78 cnf(matrix-4655, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OPls)) )).
% 12.54/12.78 cnf(matrix-4656, plain, ( ( _u8080 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u8080, _u8082) = _u8082) )).
% 12.54/12.78 cnf(matrix-4657, plain, ( ( _u8081 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u8081, _u8083) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u8081), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), hAPP(c_Nat_OSuc, _u8083))) )).
% 12.54/12.78 cnf(matrix-4658, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-4659, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-4660, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u8084, _u8085, _u8086, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u8085) )).
% 12.54/12.78 cnf(matrix-4661, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), c_Code__Numeral_OSuc__code__numeral(_u8087)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), _u8087)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.54/12.78 cnf(matrix-4662, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(_u8088)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(_u8088)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.54/12.78 cnf(matrix-4663, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8090, _u8091) != c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8092, _u8091)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8092), _u8090)) | ( _u8090 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8092), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8091), skolem212(_u8092, _u8091, _u8090)))) )).
% 12.54/12.78 cnf(matrix-4664, plain, ( ~hBOOL(hAPP(_u8095, _u8096)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8096), _u8094)) | hBOOL(hAPP(_u8095, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem213(_u8096, _u8095, _u8094)), _u8094)) )).
% 12.54/12.78 cnf(matrix-4665, plain, ( ~hBOOL(hAPP(_u8095, _u8096)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8096), _u8094)) | hBOOL(hAPP(_u8095, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u8095, skolem213(_u8096, _u8095, _u8094))) )).
% 12.54/12.78 cnf(matrix-4666, plain, ( ~hBOOL(hAPP(_u8095, _u8096)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8096), _u8094)) | hBOOL(hAPP(_u8095, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u8095, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, skolem213(_u8096, _u8095, _u8094)), _u8094))) )).
% 12.54/12.78 cnf(matrix-4667, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u8099) != c_Code__Numeral_OSuc__code__numeral(_u8101)) | ( _u8099 = _u8101) )).
% 12.54/12.78 cnf(matrix-4668, plain, ( ( _u8100 != _u8102) | ( c_Code__Numeral_OSuc__code__numeral(_u8100) = c_Code__Numeral_OSuc__code__numeral(_u8102)) )).
% 12.54/12.78 cnf(matrix-4669, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u8103) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 12.54/12.78 cnf(matrix-4670, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(_u8104)) )).
% 12.54/12.78 cnf(matrix-4671, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u8105, _u8106, _u8107, c_Code__Numeral_OSuc__code__numeral(_u8108)) = hAPP(_u8107, _u8108)) )).
% 12.54/12.78 cnf(matrix-4672, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), c_Code__Numeral_OSuc__code__numeral(_u8109)), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = _u8109) )).
% 12.54/12.78 cnf(matrix-4673, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8112), skolem214(_u8115, _u8114, _u8113, _u8112))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8112), _u8113)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8114, _u8112)), _u8115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8115), hAPP(_u8114, _u8113))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8112), skolem215(_u8115, _u8114, _u8113, _u8112))) )).
% 12.54/12.78 cnf(matrix-4674, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8112), skolem214(_u8115, _u8114, _u8113, _u8112))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8112), _u8113)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8114, _u8112)), _u8115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8115), hAPP(_u8114, _u8113))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem215(_u8115, _u8114, _u8113, _u8112)), _u8113)) )).
% 12.54/12.78 cnf(matrix-4675, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8112), skolem214(_u8115, _u8114, _u8113, _u8112))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8112), _u8113)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8114, _u8112)), _u8115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8115), hAPP(_u8114, _u8113))) | ( hAPP(_u8114, skolem215(_u8115, _u8114, _u8113, _u8112)) = _u8115) )).
% 12.54/12.78 cnf(matrix-4676, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem214(_u8115, _u8114, _u8113, _u8112)), _u8113)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8112), _u8113)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8114, _u8112)), _u8115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8115), hAPP(_u8114, _u8113))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8112), skolem215(_u8115, _u8114, _u8113, _u8112))) )).
% 12.54/12.78 cnf(matrix-4677, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem214(_u8115, _u8114, _u8113, _u8112)), _u8113)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8112), _u8113)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8114, _u8112)), _u8115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8115), hAPP(_u8114, _u8113))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem215(_u8115, _u8114, _u8113, _u8112)), _u8113)) )).
% 12.54/12.78 cnf(matrix-4678, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem214(_u8115, _u8114, _u8113, _u8112)), _u8113)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8112), _u8113)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8114, _u8112)), _u8115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8115), hAPP(_u8114, _u8113))) | ( hAPP(_u8114, skolem215(_u8115, _u8114, _u8113, _u8112)) = _u8115) )).
% 12.54/12.78 cnf(matrix-4679, 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(_u8114, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem214(_u8115, _u8114, _u8113, _u8112)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u8114, skolem214(_u8115, _u8114, _u8113, _u8112))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8112), _u8113)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8114, _u8112)), _u8115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8115), hAPP(_u8114, _u8113))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8112), skolem215(_u8115, _u8114, _u8113, _u8112))) )).
% 12.54/12.78 cnf(matrix-4680, 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(_u8114, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem214(_u8115, _u8114, _u8113, _u8112)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u8114, skolem214(_u8115, _u8114, _u8113, _u8112))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8112), _u8113)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8114, _u8112)), _u8115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8115), hAPP(_u8114, _u8113))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem215(_u8115, _u8114, _u8113, _u8112)), _u8113)) )).
% 12.54/12.78 cnf(matrix-4681, 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(_u8114, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem214(_u8115, _u8114, _u8113, _u8112)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u8114, skolem214(_u8115, _u8114, _u8113, _u8112))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8112), _u8113)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8114, _u8112)), _u8115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8115), hAPP(_u8114, _u8113))) | ( hAPP(_u8114, skolem215(_u8115, _u8114, _u8113, _u8112)) = _u8115) )).
% 12.54/12.78 cnf(matrix-4682, plain, ( ( c_Random_Olog(_u8118, _u8120) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u8118), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 12.54/12.78 cnf(matrix-4683, plain, ( ( c_Random_Olog(_u8118, _u8120) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u8120), _u8118)) )).
% 12.54/12.78 cnf(matrix-4684, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u8119), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u8121), _u8119)) | ( c_Random_Olog(_u8119, _u8121) = 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(_u8119, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u8121), _u8119)))) )).
% 12.54/12.78 cnf(matrix-4685, plain, ( ~class_Divides_Osemiring__div(_u8122) | ( _u8123 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8122), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8122), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u8122), _u8123), _u8124)), _u8124)), c_Divides_Odiv__class_Omod(_u8122, _u8123, _u8124))) )).
% 12.54/12.78 cnf(matrix-4686, plain, ( ~class_Rings_Olinordered__semidom(_u8126) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8126), c_Groups_Ozero__class_Ozero(_u8126)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8127, _u8126), _u8129), _u8128))) | hBOOL(hAPP(hAPP(c_member(_u8127), skolem216(_u8129, _u8128, _u8127, _u8126)), _u8128)) )).
% 12.54/12.78 cnf(matrix-4687, plain, ( ~class_Rings_Olinordered__semidom(_u8126) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8126), c_Groups_Ozero__class_Ozero(_u8126)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8127, _u8126), _u8129), _u8128))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8126), c_Groups_Ozero__class_Ozero(_u8126)), hAPP(_u8129, skolem216(_u8129, _u8128, _u8127, _u8126)))) )).
% 12.54/12.78 cnf(matrix-4688, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u8133), _u8135)) | ( c_Random_Ominus__shift(_u8137, _u8133, _u8135) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u8137), _u8133)), _u8135)) )).
% 12.54/12.78 cnf(matrix-4689, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u8134), _u8136)) | ( c_Random_Ominus__shift(_u8138, _u8134, _u8136) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u8134), _u8136)) )).
% 12.54/12.78 cnf(matrix-4690, plain, ( ( _u8141 != _u8143) | ( c_Random_Oinc__shift(_u8141, _u8143) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) )).
% 12.54/12.78 cnf(matrix-4691, plain, ( ( _u8142 = _u8144) | ( c_Random_Oinc__shift(_u8142, _u8144) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u8144), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 12.54/12.78 cnf(matrix-4692, plain, ( ~class_Rings_Olinordered__semidom(_u8146) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8146), c_Groups_Ozero__class_Ozero(_u8146)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8147, _u8146), _u8149), _u8148))) | hBOOL(hAPP(hAPP(c_member(_u8147), skolem217(_u8149, _u8148, _u8147, _u8146)), _u8148)) )).
% 12.54/12.78 cnf(matrix-4693, plain, ( ~class_Rings_Olinordered__semidom(_u8146) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8146), c_Groups_Ozero__class_Ozero(_u8146)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8147, _u8146), _u8149), _u8148))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8146), c_Groups_Ozero__class_Ozero(_u8146)), hAPP(_u8149, skolem217(_u8149, _u8148, _u8147, _u8146)))) )).
% 12.54/12.78 cnf(matrix-4694, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8152), _u8153)) | ~hBOOL(hAPP(_u8154, c_Orderings_Obot__class_Obot(tc_fun(_u8152, tc_HOL_Obool)))) | hBOOL(hAPP(_u8154, _u8153)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8152), skolem219(_u8154, _u8153, _u8152))) )).
% 12.54/12.78 cnf(matrix-4695, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8152), _u8153)) | ~hBOOL(hAPP(_u8154, c_Orderings_Obot__class_Obot(tc_fun(_u8152, tc_HOL_Obool)))) | hBOOL(hAPP(_u8154, _u8153)) | ~hBOOL(hAPP(hAPP(c_member(_u8152), skolem218(_u8154, _u8153, _u8152)), skolem219(_u8154, _u8153, _u8152))) )).
% 12.54/12.78 cnf(matrix-4696, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8152), _u8153)) | ~hBOOL(hAPP(_u8154, c_Orderings_Obot__class_Obot(tc_fun(_u8152, tc_HOL_Obool)))) | hBOOL(hAPP(_u8154, _u8153)) | hBOOL(hAPP(_u8154, skolem219(_u8154, _u8153, _u8152))) )).
% 12.54/12.78 cnf(matrix-4697, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8152), _u8153)) | ~hBOOL(hAPP(_u8154, c_Orderings_Obot__class_Obot(tc_fun(_u8152, tc_HOL_Obool)))) | hBOOL(hAPP(_u8154, _u8153)) | ~hBOOL(hAPP(_u8154, hAPP(hAPP(c_Set_Oinsert(_u8152), skolem218(_u8154, _u8153, _u8152)), skolem219(_u8154, _u8153, _u8152)))) )).
% 12.54/12.78 cnf(matrix-4698, plain, ( ~class_Orderings_Olinorder(_u8155) | ( _u8156 = c_Orderings_Obot__class_Obot(tc_fun(_u8155, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8155, tc_HOL_Obool)), _u8156), _u8157)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8155), _u8157)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8155), hAPP(c_Finite__Set_Ofold1(_u8155, c_Orderings_Oord__class_Omin(_u8155)), _u8157)), hAPP(c_Finite__Set_Ofold1(_u8155, c_Orderings_Oord__class_Omin(_u8155)), _u8156))) )).
% 12.54/12.78 cnf(matrix-4699, plain, ( ~class_Fields_Olinordered__field(_u8159) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8159), _u8160), _u8161)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8159), c_Groups_Ozero__class_Ozero(_u8159)), skolem220(_u8161, _u8160, _u8159))) )).
% 12.54/12.78 cnf(matrix-4700, plain, ( ~class_Fields_Olinordered__field(_u8159) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8159), _u8160), _u8161)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8159), _u8160), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8159), _u8161), skolem220(_u8161, _u8160, _u8159)))) )).
% 12.54/12.78 cnf(matrix-4701, plain, ( ( c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral)) )).
% 12.54/12.78 cnf(matrix-4702, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u8162), _u8163) = hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, _u8162), _u8163)) )).
% 12.54/12.78 cnf(matrix-4703, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u8164), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-4704, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8165) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-4705, plain, ( ~class_Orderings_Olinorder(_u8166) | c_Finite__Set_Ofun__left__comm__idem(_u8166, _u8166, c_Orderings_Oord__class_Omin(_u8166)) )).
% 12.54/12.78 cnf(matrix-4706, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8167)), hAPP(c_Nat_OSuc, _u8168)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u8167), _u8168))) )).
% 12.54/12.78 cnf(matrix-4707, plain, ( ~class_Orderings_Olinorder(_u8169) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8169), _u8170), _u8170) = _u8170) )).
% 12.54/12.78 cnf(matrix-4708, plain, ( ~class_Orderings_Olinorder(_u8171) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8171), _u8172), _u8172) = _u8172) )).
% 12.54/12.78 cnf(matrix-4709, plain, ( ~class_Orderings_Olinorder(_u8173) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8173), _u8174), _u8175) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8173), _u8175), _u8174)) )).
% 12.54/12.78 cnf(matrix-4710, plain, ( ~class_Orderings_Olinorder(_u8176) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8176), _u8177), _u8178) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8176), _u8178), _u8177)) )).
% 12.54/12.78 cnf(matrix-4711, plain, ( ~class_Orderings_Olinorder(_u8179) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8179), _u8180), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8179), _u8180), _u8181)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8179), _u8180), _u8181)) )).
% 12.54/12.78 cnf(matrix-4712, plain, ( ~class_Orderings_Olinorder(_u8182) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8182), _u8183), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8182), _u8183), _u8184)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8182), _u8183), _u8184)) )).
% 12.54/12.78 cnf(matrix-4713, plain, ( ~class_Orderings_Olinorder(_u8185) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8185), _u8186), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8185), _u8187), _u8188)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8185), _u8187), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8185), _u8186), _u8188))) )).
% 12.54/12.78 cnf(matrix-4714, plain, ( ~class_Orderings_Olinorder(_u8189) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8189), _u8190), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8189), _u8191), _u8192)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8189), _u8191), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8189), _u8190), _u8192))) )).
% 12.54/12.78 cnf(matrix-4715, plain, ( ~class_Orderings_Olinorder(_u8193) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8193), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8193), _u8194), _u8195)), _u8196) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8193), _u8194), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8193), _u8195), _u8196))) )).
% 12.54/12.78 cnf(matrix-4716, plain, ( ~class_Orderings_Olinorder(_u8197) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8197), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8197), _u8198), _u8199)), _u8200) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8197), _u8198), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8197), _u8199), _u8200))) )).
% 12.54/12.78 cnf(matrix-4717, plain, ( ~class_Lattices_Osemilattice__inf(_u8201) | ~class_Orderings_Olinorder(_u8201) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u8201) = c_Orderings_Oord__class_Omin(_u8201)) )).
% 12.54/12.78 cnf(matrix-4718, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8202), _u8203)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8204), _u8203)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u8202), _u8204)), _u8203)) )).
% 12.54/12.78 cnf(matrix-4719, plain, ( ~class_Groups_Oordered__ab__group__add(_u8205) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8205), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8205), _u8206), _u8207)), _u8208) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8205), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8205), _u8206), _u8208)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8205), _u8207), _u8208))) )).
% 12.54/12.78 cnf(matrix-4720, plain, ( ~class_Orderings_Olinorder(_u8209) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8209), _u8210), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8209), _u8211), _u8212))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8209), _u8210), _u8211)) )).
% 12.54/12.78 cnf(matrix-4721, plain, ( ~class_Orderings_Olinorder(_u8209) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8209), _u8210), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8209), _u8211), _u8212))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8209), _u8210), _u8212)) )).
% 12.54/12.78 cnf(matrix-4722, plain, ( ~class_Orderings_Olinorder(_u8213) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8213), _u8214), _u8215)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8213), _u8216), _u8217)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8213), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8213), _u8214), _u8216)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8213), _u8215), _u8217))) )).
% 12.54/12.78 cnf(matrix-4723, plain, ( ~class_Orderings_Olinorder(_u8218) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8218), _u8219), _u8220)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8218), _u8219), _u8221)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8218), _u8219), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8218), _u8220), _u8221))) )).
% 12.54/12.78 cnf(matrix-4724, plain, ( ~class_Orderings_Olinorder(_u8222) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8222), _u8223), _u8224)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8222), _u8223), _u8225)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8222), _u8223), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8222), _u8224), _u8225))) )).
% 12.54/12.78 cnf(matrix-4725, plain, ( ~class_Orderings_Olinorder(_u8226) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8226), _u8227), _u8228)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8226), _u8228), _u8227) = _u8227) )).
% 12.54/12.78 cnf(matrix-4726, plain, ( ~class_Orderings_Olinorder(_u8229) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8229), _u8230), _u8231)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8229), _u8230), _u8231) = _u8230) )).
% 12.54/12.78 cnf(matrix-4727, plain, ( ~class_Orderings_Olinorder(_u8232) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8232), _u8233), _u8234)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8232), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8232), _u8235), _u8233)), _u8234)) )).
% 12.54/12.78 cnf(matrix-4728, plain, ( ~class_Orderings_Olinorder(_u8236) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8236), _u8237), _u8238)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8236), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8236), _u8237), _u8239)), _u8238)) )).
% 12.54/12.78 cnf(matrix-4729, plain, ( ~class_Orderings_Olinorder(_u8240) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8240), _u8241), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8240), _u8242), _u8243))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8240), _u8241), _u8242)) )).
% 12.54/12.78 cnf(matrix-4730, plain, ( ~class_Orderings_Olinorder(_u8240) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8240), _u8241), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8240), _u8242), _u8243))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8240), _u8241), _u8243)) )).
% 12.54/12.78 cnf(matrix-4731, plain, ( ~class_Orderings_Olinorder(_u8240) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8240), _u8241), _u8242)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8240), _u8241), _u8243)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8240), _u8241), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8240), _u8242), _u8243))) )).
% 12.54/12.78 cnf(matrix-4732, plain, ( ~class_Orderings_Olinorder(_u8244) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8244), _u8245), _u8246)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8244), _u8245), _u8246) = _u8245) )).
% 12.54/12.78 cnf(matrix-4733, plain, ( ~class_Orderings_Olinorder(_u8244) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8244), _u8245), _u8246) != _u8245) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8244), _u8245), _u8246)) )).
% 12.54/12.78 cnf(matrix-4734, plain, ( ~class_Orderings_Olinorder(_u8247) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8247), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8247), _u8248), _u8249)), _u8249)) )).
% 12.54/12.78 cnf(matrix-4735, plain, ( ~class_Orderings_Olinorder(_u8250) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8250), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8250), _u8251), _u8252)), _u8251)) )).
% 12.54/12.78 cnf(matrix-4736, plain, ( ~class_Orderings_Olinorder(_u8253) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8253), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8253), _u8254), _u8255)), _u8256)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8253), _u8254), _u8256)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8253), _u8255), _u8256)) )).
% 12.54/12.78 cnf(matrix-4737, plain, ( ~class_Orderings_Olinorder(_u8253) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8253), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8253), _u8254), _u8255)), _u8256)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8253), _u8254), _u8256)) )).
% 12.54/12.78 cnf(matrix-4738, plain, ( ~class_Orderings_Olinorder(_u8253) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8253), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8253), _u8254), _u8255)), _u8256)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8253), _u8255), _u8256)) )).
% 12.54/12.78 cnf(matrix-4739, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u8257) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8257), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8257), _u8258), _u8259)), _u8260) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8257), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8257), _u8258), _u8260)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8257), _u8259), _u8260))) )).
% 12.54/12.78 cnf(matrix-4740, plain, ( ~class_Orderings_Olinorder(_u8261) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8261), _u8262), _u8263)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8261), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8261), _u8264), _u8262)), _u8263)) )).
% 12.54/12.78 cnf(matrix-4741, plain, ( ~class_Orderings_Olinorder(_u8265) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8265), _u8266), _u8267)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8265), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8265), _u8266), _u8268)), _u8267)) )).
% 12.54/12.78 cnf(matrix-4742, plain, ( ~class_Orderings_Olinorder(_u8269) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8269), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8269), _u8270), _u8271)), _u8272)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8269), _u8270), _u8272)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8269), _u8271), _u8272)) )).
% 12.54/12.78 cnf(matrix-4743, plain, ( ~class_Orderings_Olinorder(_u8269) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8269), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8269), _u8270), _u8271)), _u8272)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8269), _u8270), _u8272)) )).
% 12.54/12.78 cnf(matrix-4744, plain, ( ~class_Orderings_Olinorder(_u8269) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8269), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8269), _u8270), _u8271)), _u8272)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8269), _u8271), _u8272)) )).
% 12.54/12.78 cnf(matrix-4745, plain, ( ~class_Orderings_Olinorder(_u8273) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8273), _u8274), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8273), _u8275), _u8276))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8273), _u8274), _u8275)) )).
% 12.54/12.78 cnf(matrix-4746, plain, ( ~class_Orderings_Olinorder(_u8273) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8273), _u8274), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8273), _u8275), _u8276))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8273), _u8274), _u8276)) )).
% 12.54/12.78 cnf(matrix-4747, plain, ( ~class_Orderings_Olinorder(_u8273) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8273), _u8274), _u8275)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8273), _u8274), _u8276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8273), _u8274), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8273), _u8275), _u8276))) )).
% 12.54/12.78 cnf(matrix-4748, plain, ( ~class_Int_Onumber(_u8277) | ~class_Orderings_Oord(_u8277) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8277), hAPP(c_Int_Onumber__class_Onumber__of(_u8277), _u8278)), hAPP(c_Int_Onumber__class_Onumber__of(_u8277), _u8279))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8277), hAPP(c_Int_Onumber__class_Onumber__of(_u8277), _u8278)), hAPP(c_Int_Onumber__class_Onumber__of(_u8277), _u8279)) = hAPP(c_Int_Onumber__class_Onumber__of(_u8277), _u8278)) )).
% 12.54/12.78 cnf(matrix-4749, plain, ( ~class_Int_Onumber(_u8277) | ~class_Orderings_Oord(_u8277) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8277), hAPP(c_Int_Onumber__class_Onumber__of(_u8277), _u8278)), hAPP(c_Int_Onumber__class_Onumber__of(_u8277), _u8279))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8277), hAPP(c_Int_Onumber__class_Onumber__of(_u8277), _u8278)), hAPP(c_Int_Onumber__class_Onumber__of(_u8277), _u8279)) = hAPP(c_Int_Onumber__class_Onumber__of(_u8277), _u8279)) )).
% 12.54/12.78 cnf(matrix-4750, plain, ( ~class_Orderings_Olinorder(_u8280) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8280), _u8281)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u8280, _u8280, c_Orderings_Oord__class_Omin(_u8280)), _u8282), hAPP(hAPP(c_Set_Oinsert(_u8280), _u8283), _u8281)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8280), _u8283), hAPP(hAPP(c_Finite__Set_Ofold(_u8280, _u8280, c_Orderings_Oord__class_Omin(_u8280)), _u8282), _u8281))) )).
% 12.54/12.78 cnf(matrix-4751, plain, ( ~class_Orderings_Olinorder(_u8284) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8284, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8284, _u8285, _u8286)), hAPP(c_SetInterval_Oord__class_OatMost(_u8284), _u8287)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8284, _u8285, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8284), _u8286), _u8287))) )).
% 12.54/12.78 cnf(matrix-4752, plain, ( ~class_Orderings_Olinorder(_u8288) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8288, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8288), _u8289)), c_SetInterval_Oord__class_OatLeastAtMost(_u8288, _u8290, _u8291)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8288, _u8290, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8288), _u8289), _u8291))) )).
% 12.54/12.78 cnf(matrix-4753, plain, ( ~class_Orderings_Olinorder(_u8292) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8292), _u8293)) | ~hBOOL(hAPP(hAPP(c_member(_u8292), _u8294), _u8293)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8292), hAPP(hAPP(c_Finite__Set_Ofold(_u8292, _u8292, c_Orderings_Oord__class_Omin(_u8292)), _u8295), _u8293)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8292), _u8294), _u8295))) )).
% 12.54/12.78 cnf(matrix-4754, plain, ( ~class_Orderings_Olinorder(_u8296) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8296), _u8297)) | ~hBOOL(hAPP(hAPP(c_member(_u8296), _u8298), _u8297)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8296), hAPP(c_Finite__Set_Ofold1(_u8296, c_Orderings_Oord__class_Omin(_u8296)), _u8297)), _u8298)) )).
% 12.54/12.78 cnf(matrix-4755, plain, ( ~class_Orderings_Olinorder(_u8301) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8301), _u8302)) | ( _u8302 = c_Orderings_Obot__class_Obot(tc_fun(_u8301, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8301), _u8303), hAPP(c_Finite__Set_Ofold1(_u8301, c_Orderings_Oord__class_Omin(_u8301)), _u8302))) | ~hBOOL(hAPP(hAPP(c_member(_u8301), _u8299), _u8302)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8301), _u8303), _u8299)) )).
% 12.54/12.78 cnf(matrix-4756, plain, ( ~class_Orderings_Olinorder(_u8301) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8301), _u8302)) | ( _u8302 = c_Orderings_Obot__class_Obot(tc_fun(_u8301, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8301), _u8303), hAPP(c_Finite__Set_Ofold1(_u8301, c_Orderings_Oord__class_Omin(_u8301)), _u8302))) | hBOOL(hAPP(hAPP(c_member(_u8301), skolem221(_u8303, _u8302, _u8301)), _u8302)) )).
% 12.54/12.78 cnf(matrix-4757, plain, ( ~class_Orderings_Olinorder(_u8301) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8301), _u8302)) | ( _u8302 = c_Orderings_Obot__class_Obot(tc_fun(_u8301, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8301), _u8303), hAPP(c_Finite__Set_Ofold1(_u8301, c_Orderings_Oord__class_Omin(_u8301)), _u8302))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8301), _u8303), skolem221(_u8303, _u8302, _u8301))) )).
% 12.54/12.78 cnf(matrix-4758, plain, ( ~class_Orderings_Olinorder(_u8306) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8306), _u8307)) | ( _u8307 = c_Orderings_Obot__class_Obot(tc_fun(_u8306, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8306), hAPP(c_Finite__Set_Ofold1(_u8306, c_Orderings_Oord__class_Omin(_u8306)), _u8307)), _u8308)) | hBOOL(hAPP(hAPP(c_member(_u8306), skolem222(_u8308, _u8307, _u8306)), _u8307)) )).
% 12.54/12.78 cnf(matrix-4759, plain, ( ~class_Orderings_Olinorder(_u8306) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8306), _u8307)) | ( _u8307 = c_Orderings_Obot__class_Obot(tc_fun(_u8306, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8306), hAPP(c_Finite__Set_Ofold1(_u8306, c_Orderings_Oord__class_Omin(_u8306)), _u8307)), _u8308)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8306), skolem222(_u8308, _u8307, _u8306)), _u8308)) )).
% 12.54/12.78 cnf(matrix-4760, plain, ( ~class_Orderings_Olinorder(_u8306) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8306), _u8307)) | ( _u8307 = c_Orderings_Obot__class_Obot(tc_fun(_u8306, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u8306), _u8305), _u8307)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8306), _u8305), _u8308)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8306), hAPP(c_Finite__Set_Ofold1(_u8306, c_Orderings_Oord__class_Omin(_u8306)), _u8307)), _u8308)) )).
% 12.54/12.78 cnf(matrix-4761, plain, ( ~class_Orderings_Olinorder(_u8311) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8311), _u8312)) | ( _u8312 = c_Orderings_Obot__class_Obot(tc_fun(_u8311, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8311), hAPP(c_Finite__Set_Ofold1(_u8311, c_Orderings_Oord__class_Omin(_u8311)), _u8312)), _u8313)) | hBOOL(hAPP(hAPP(c_member(_u8311), skolem223(_u8313, _u8312, _u8311)), _u8312)) )).
% 12.54/12.78 cnf(matrix-4762, plain, ( ~class_Orderings_Olinorder(_u8311) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8311), _u8312)) | ( _u8312 = c_Orderings_Obot__class_Obot(tc_fun(_u8311, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8311), hAPP(c_Finite__Set_Ofold1(_u8311, c_Orderings_Oord__class_Omin(_u8311)), _u8312)), _u8313)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8311), skolem223(_u8313, _u8312, _u8311)), _u8313)) )).
% 12.54/12.78 cnf(matrix-4763, plain, ( ~class_Orderings_Olinorder(_u8311) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8311), _u8312)) | ( _u8312 = c_Orderings_Obot__class_Obot(tc_fun(_u8311, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u8311), _u8310), _u8312)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8311), _u8310), _u8313)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8311), hAPP(c_Finite__Set_Ofold1(_u8311, c_Orderings_Oord__class_Omin(_u8311)), _u8312)), _u8313)) )).
% 12.54/12.78 cnf(matrix-4764, plain, ( ~class_Orderings_Olinorder(_u8316) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8316), _u8317)) | ( _u8317 = c_Orderings_Obot__class_Obot(tc_fun(_u8316, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8316), _u8318), hAPP(c_Finite__Set_Ofold1(_u8316, c_Orderings_Oord__class_Omin(_u8316)), _u8317))) | ~hBOOL(hAPP(hAPP(c_member(_u8316), _u8314), _u8317)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8316), _u8318), _u8314)) )).
% 12.54/12.78 cnf(matrix-4765, plain, ( ~class_Orderings_Olinorder(_u8316) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8316), _u8317)) | ( _u8317 = c_Orderings_Obot__class_Obot(tc_fun(_u8316, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8316), _u8318), hAPP(c_Finite__Set_Ofold1(_u8316, c_Orderings_Oord__class_Omin(_u8316)), _u8317))) | hBOOL(hAPP(hAPP(c_member(_u8316), skolem224(_u8318, _u8317, _u8316)), _u8317)) )).
% 12.54/12.78 cnf(matrix-4766, plain, ( ~class_Orderings_Olinorder(_u8316) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8316), _u8317)) | ( _u8317 = c_Orderings_Obot__class_Obot(tc_fun(_u8316, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8316), _u8318), hAPP(c_Finite__Set_Ofold1(_u8316, c_Orderings_Oord__class_Omin(_u8316)), _u8317))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8316), _u8318), skolem224(_u8318, _u8317, _u8316))) )).
% 12.54/12.78 cnf(matrix-4767, plain, ( ~class_Orderings_Oord(_u8319) | ( c_Orderings_Oord__class_Omin(_u8319) = c_Orderings_Oord_Omin(_u8319, c_Orderings_Oord__class_Oless__eq(_u8319))) )).
% 12.54/12.78 cnf(matrix-4768, plain, ( ~class_Orderings_Olinorder(_u8320) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8320), _u8321)) | ~hBOOL(hAPP(hAPP(c_member(_u8320), _u8322), _u8321)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8320, tc_HOL_Obool)), _u8321), hAPP(hAPP(c_Set_Oinsert(_u8320), _u8322), c_Orderings_Obot__class_Obot(tc_fun(_u8320, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8320, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u8320, _u8321) = _u8322) )).
% 12.54/12.78 cnf(matrix-4769, plain, ( ~class_Orderings_Olinorder(_u8320) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8320), _u8321)) | ~hBOOL(hAPP(hAPP(c_member(_u8320), _u8322), _u8321)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8320, tc_HOL_Obool)), _u8321), hAPP(hAPP(c_Set_Oinsert(_u8320), _u8322), c_Orderings_Obot__class_Obot(tc_fun(_u8320, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8320, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u8320, _u8321) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8320), _u8322), c_Big__Operators_Olinorder__class_OMin(_u8320, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8320, tc_HOL_Obool)), _u8321), hAPP(hAPP(c_Set_Oinsert(_u8320), _u8322), c_Orderings_Obot__class_Obot(tc_fun(_u8320, tc_HOL_Obool))))))) )).
% 12.54/12.78 cnf(matrix-4770, plain, ( ~class_Orderings_Olinorder(_u8323) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8323), _u8324)) | ~hBOOL(hAPP(hAPP(c_member(_u8323), _u8325), _u8324)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8323, tc_HOL_Obool)), _u8324), hAPP(hAPP(c_Set_Oinsert(_u8323), _u8325), c_Orderings_Obot__class_Obot(tc_fun(_u8323, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8323, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u8323, c_Orderings_Oord__class_Omin(_u8323), _u8324) = _u8325) )).
% 12.54/12.78 cnf(matrix-4771, plain, ( ~class_Orderings_Olinorder(_u8323) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8323), _u8324)) | ~hBOOL(hAPP(hAPP(c_member(_u8323), _u8325), _u8324)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8323, tc_HOL_Obool)), _u8324), hAPP(hAPP(c_Set_Oinsert(_u8323), _u8325), c_Orderings_Obot__class_Obot(tc_fun(_u8323, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8323, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u8323, c_Orderings_Oord__class_Omin(_u8323), _u8324) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8323), _u8325), c_Big__Operators_Olattice_OInf__fin(_u8323, c_Orderings_Oord__class_Omin(_u8323), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8323, tc_HOL_Obool)), _u8324), hAPP(hAPP(c_Set_Oinsert(_u8323), _u8325), c_Orderings_Obot__class_Obot(tc_fun(_u8323, tc_HOL_Obool))))))) )).
% 12.54/12.78 cnf(matrix-4772, plain, ( ~class_Orderings_Olinorder(_u8326) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8326), _u8327)) | hBOOL(hAPP(hAPP(c_member(_u8326), _u8328), _u8327)) | ( c_Big__Operators_Olinorder__class_OMin(_u8326, hAPP(hAPP(c_Set_Oinsert(_u8326), _u8328), _u8327)) = hAPP(hAPP(c_Finite__Set_Ofold(_u8326, _u8326, c_Orderings_Oord__class_Omin(_u8326)), _u8328), _u8327)) )).
% 12.54/12.78 cnf(matrix-4773, plain, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-4774, plain, ( ~class_Orderings_Olinorder(_u8329) | ( c_Big__Operators_Olinorder__class_OMin(_u8329, hAPP(hAPP(c_Set_Oinsert(_u8329), _u8330), c_Orderings_Obot__class_Obot(tc_fun(_u8329, tc_HOL_Obool)))) = _u8330) )).
% 12.54/12.78 cnf(matrix-4775, plain, ( ~class_Orderings_Olinorder(_u8331) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8331), _u8332)) | ~hBOOL(hAPP(hAPP(c_member(_u8331), _u8333), _u8332)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8331), _u8333), c_Big__Operators_Olattice_OInf__fin(_u8331, c_Orderings_Oord__class_Omin(_u8331), _u8332)) = c_Big__Operators_Olattice_OInf__fin(_u8331, c_Orderings_Oord__class_Omin(_u8331), _u8332)) )).
% 12.54/12.78 cnf(matrix-4776, plain, ( ~class_Orderings_Olinorder(_u8334) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8334), _u8335)) | ~hBOOL(hAPP(hAPP(c_member(_u8334), _u8336), _u8335)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8334), c_Big__Operators_Olinorder__class_OMin(_u8334, _u8335)), _u8336)) )).
% 12.54/12.78 cnf(matrix-4777, plain, ( ~class_Orderings_Olinorder(_u8337) | ( c_Big__Operators_Olattice_OInf__fin(_u8337, c_Orderings_Oord__class_Omin(_u8337), hAPP(hAPP(c_Set_Oinsert(_u8337), _u8338), c_Orderings_Obot__class_Obot(tc_fun(_u8337, tc_HOL_Obool)))) = _u8338) )).
% 12.54/12.78 cnf(matrix-4778, plain, ( ~class_Orderings_Olinorder(_u8339) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8339), _u8340)) | ( _u8340 = c_Orderings_Obot__class_Obot(tc_fun(_u8339, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u8339), c_Big__Operators_Olinorder__class_OMin(_u8339, _u8340)), _u8340)) )).
% 12.54/12.78 cnf(matrix-4779, plain, ( ~class_Orderings_Olinorder(_u8341) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8341), _u8342)) | ~hBOOL(hAPP(hAPP(c_member(_u8341), _u8343), _u8342)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8341), _u8343), c_Big__Operators_Olinorder__class_OMin(_u8341, _u8342)) = c_Big__Operators_Olinorder__class_OMin(_u8341, _u8342)) )).
% 12.54/12.78 cnf(matrix-4780, plain, ( ~class_Orderings_Olinorder(_u8344) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8344), _u8345)) | ( c_Big__Operators_Olattice_OInf__fin(_u8344, c_Orderings_Oord__class_Omin(_u8344), _u8345) = hAPP(c_Finite__Set_Ofold1(_u8344, c_Orderings_Oord__class_Omin(_u8344)), _u8345)) )).
% 12.54/12.78 cnf(matrix-4781, plain, ( ~class_Orderings_Olinorder(_u8346) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8346), _u8347)) | ( c_Big__Operators_Olinorder__class_OMin(_u8346, _u8347) = hAPP(c_Finite__Set_Ofold1(_u8346, c_Orderings_Oord__class_Omin(_u8346)), _u8347)) )).
% 12.54/12.78 cnf(matrix-4782, plain, ( ~class_Orderings_Olinorder(_u8348) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8348), _u8349)) | ( _u8349 = c_Orderings_Obot__class_Obot(tc_fun(_u8348, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u8348, c_Orderings_Oord__class_Omin(_u8348), hAPP(hAPP(c_Set_Oinsert(_u8348), _u8350), _u8349)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8348), _u8350), c_Big__Operators_Olattice_OInf__fin(_u8348, c_Orderings_Oord__class_Omin(_u8348), _u8349))) )).
% 12.54/12.78 cnf(matrix-4783, plain, ( ~class_Orderings_Olinorder(_u8351) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8351), _u8352)) | ( _u8353 = c_Orderings_Obot__class_Obot(tc_fun(_u8351, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8351, tc_HOL_Obool)), _u8353), _u8352)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8351), c_Big__Operators_Olattice_OInf__fin(_u8351, c_Orderings_Oord__class_Omin(_u8351), _u8353)), c_Big__Operators_Olattice_OInf__fin(_u8351, c_Orderings_Oord__class_Omin(_u8351), _u8352)) = c_Big__Operators_Olattice_OInf__fin(_u8351, c_Orderings_Oord__class_Omin(_u8351), _u8352)) )).
% 12.54/12.78 cnf(matrix-4784, plain, ( ~class_Orderings_Olinorder(_u8354) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8354), _u8355)) | ( _u8355 = c_Orderings_Obot__class_Obot(tc_fun(_u8354, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8354), _u8356)) | ( _u8356 = c_Orderings_Obot__class_Obot(tc_fun(_u8354, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u8354, c_Orderings_Oord__class_Omin(_u8354), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8354, tc_HOL_Obool)), _u8355), _u8356)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8354), c_Big__Operators_Olattice_OInf__fin(_u8354, c_Orderings_Oord__class_Omin(_u8354), _u8355)), c_Big__Operators_Olattice_OInf__fin(_u8354, c_Orderings_Oord__class_Omin(_u8354), _u8356))) )).
% 12.54/12.78 cnf(matrix-4785, plain, ( ~class_Orderings_Olinorder(_u8357) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8357, tc_HOL_Obool)), _u8358), _u8359)) | ( _u8358 = c_Orderings_Obot__class_Obot(tc_fun(_u8357, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8357), _u8359)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8357), c_Big__Operators_Olinorder__class_OMin(_u8357, _u8359)), c_Big__Operators_Olinorder__class_OMin(_u8357, _u8358))) )).
% 12.54/12.78 cnf(matrix-4786, plain, ( ~class_Orderings_Olinorder(_u8360) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8360), _u8361)) | ( c_Big__Operators_Olattice_OInf__fin(_u8360, c_Orderings_Oord__class_Omin(_u8360), hAPP(hAPP(c_Set_Oinsert(_u8360), _u8362), _u8361)) = hAPP(hAPP(c_Finite__Set_Ofold(_u8360, _u8360, c_Orderings_Oord__class_Omin(_u8360)), _u8362), _u8361)) )).
% 12.54/12.78 cnf(matrix-4787, plain, ( ~class_Orderings_Olinorder(_u8363) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8363), _u8364)) | ( _u8364 = c_Orderings_Obot__class_Obot(tc_fun(_u8363, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u8363, hAPP(hAPP(c_Set_Oinsert(_u8363), _u8365), _u8364)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8363), _u8365), c_Big__Operators_Olinorder__class_OMin(_u8363, _u8364))) )).
% 12.54/12.78 cnf(matrix-4788, plain, ( ~class_Orderings_Olinorder(_u8366) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8366), _u8367)) | ( _u8368 = c_Orderings_Obot__class_Obot(tc_fun(_u8366, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8366, tc_HOL_Obool)), _u8368), _u8367)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8366), c_Big__Operators_Olinorder__class_OMin(_u8366, _u8368)), c_Big__Operators_Olinorder__class_OMin(_u8366, _u8367)) = c_Big__Operators_Olinorder__class_OMin(_u8366, _u8367)) )).
% 12.54/12.78 cnf(matrix-4789, plain, ( ~class_Orderings_Olinorder(_u8369) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8369), _u8370)) | ( _u8370 = c_Orderings_Obot__class_Obot(tc_fun(_u8369, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8369), _u8371)) | ( _u8371 = c_Orderings_Obot__class_Obot(tc_fun(_u8369, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u8369, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8369, tc_HOL_Obool)), _u8370), _u8371)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8369), c_Big__Operators_Olinorder__class_OMin(_u8369, _u8370)), c_Big__Operators_Olinorder__class_OMin(_u8369, _u8371))) )).
% 12.54/12.78 cnf(matrix-4790, plain, ( ~class_Orderings_Olinorder(_u8372) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8372), _u8373)) | ( c_Big__Operators_Olinorder__class_OMin(_u8372, hAPP(hAPP(c_Set_Oinsert(_u8372), _u8374), _u8373)) = hAPP(hAPP(c_Finite__Set_Ofold(_u8372, _u8372, c_Orderings_Oord__class_Omin(_u8372)), _u8374), _u8373)) )).
% 12.54/12.78 cnf(matrix-4791, plain, ( ~class_Orderings_Olinorder(_u8375) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8375), _u8376)) | hBOOL(hAPP(hAPP(c_member(_u8375), _u8377), _u8376)) | ( _u8376 = c_Orderings_Obot__class_Obot(tc_fun(_u8375, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u8375, c_Orderings_Oord__class_Omin(_u8375), hAPP(hAPP(c_Set_Oinsert(_u8375), _u8377), _u8376)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8375), _u8377), c_Big__Operators_Olattice_OInf__fin(_u8375, c_Orderings_Oord__class_Omin(_u8375), _u8376))) )).
% 12.54/12.78 cnf(matrix-4792, plain, ( ~class_Orderings_Olinorder(_u8378) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8378), _u8379)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8378, tc_HOL_Obool)), _u8379), hAPP(hAPP(c_Set_Oinsert(_u8378), _u8380), c_Orderings_Obot__class_Obot(tc_fun(_u8378, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8378, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u8378, c_Orderings_Oord__class_Omin(_u8378), hAPP(hAPP(c_Set_Oinsert(_u8378), _u8380), _u8379)) = _u8380) )).
% 12.54/12.78 cnf(matrix-4793, plain, ( ~class_Orderings_Olinorder(_u8378) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8378), _u8379)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8378, tc_HOL_Obool)), _u8379), hAPP(hAPP(c_Set_Oinsert(_u8378), _u8380), c_Orderings_Obot__class_Obot(tc_fun(_u8378, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8378, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u8378, c_Orderings_Oord__class_Omin(_u8378), hAPP(hAPP(c_Set_Oinsert(_u8378), _u8380), _u8379)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8378), _u8380), c_Big__Operators_Olattice_OInf__fin(_u8378, c_Orderings_Oord__class_Omin(_u8378), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8378, tc_HOL_Obool)), _u8379), hAPP(hAPP(c_Set_Oinsert(_u8378), _u8380), c_Orderings_Obot__class_Obot(tc_fun(_u8378, tc_HOL_Obool))))))) )).
% 12.54/12.78 cnf(matrix-4794, plain, ( ~class_Orderings_Olinorder(_u8381) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8381), _u8382)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8381), _u8383)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8381, tc_HOL_Obool)), _u8382), _u8383) = c_Orderings_Obot__class_Obot(tc_fun(_u8381, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8381), c_Big__Operators_Olattice_OInf__fin(_u8381, c_Orderings_Oord__class_Omin(_u8381), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8381, tc_HOL_Obool)), _u8382), _u8383))), c_Big__Operators_Olattice_OInf__fin(_u8381, c_Orderings_Oord__class_Omin(_u8381), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8381, tc_HOL_Obool)), _u8382), _u8383))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8381), c_Big__Operators_Olattice_OInf__fin(_u8381, c_Orderings_Oord__class_Omin(_u8381), _u8382)), c_Big__Operators_Olattice_OInf__fin(_u8381, c_Orderings_Oord__class_Omin(_u8381), _u8383))) )).
% 12.54/12.78 cnf(matrix-4795, plain, ( ~class_Orderings_Olinorder(_u8384) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8384), _u8385)) | ( _u8385 = c_Orderings_Obot__class_Obot(tc_fun(_u8384, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8384), _u8386)) | ( _u8386 = c_Orderings_Obot__class_Obot(tc_fun(_u8384, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8384, tc_HOL_Obool)), _u8385), _u8386) != c_Orderings_Obot__class_Obot(tc_fun(_u8384, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u8384, c_Orderings_Oord__class_Omin(_u8384), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8384, tc_HOL_Obool)), _u8385), _u8386)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8384), c_Big__Operators_Olattice_OInf__fin(_u8384, c_Orderings_Oord__class_Omin(_u8384), _u8385)), c_Big__Operators_Olattice_OInf__fin(_u8384, c_Orderings_Oord__class_Omin(_u8384), _u8386))) )).
% 12.54/12.78 cnf(matrix-4796, plain, ( ~class_Orderings_Olinorder(_u8387) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8387), _u8388)) | hBOOL(hAPP(hAPP(c_member(_u8387), _u8389), _u8388)) | ( c_Big__Operators_Olattice_OInf__fin(_u8387, c_Orderings_Oord__class_Omin(_u8387), hAPP(hAPP(c_Set_Oinsert(_u8387), _u8389), _u8388)) = hAPP(hAPP(c_Finite__Set_Ofold(_u8387, _u8387, c_Orderings_Oord__class_Omin(_u8387)), _u8389), _u8388)) )).
% 12.54/12.78 cnf(matrix-4797, plain, ( ~class_Orderings_Olinorder(_u8390) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8390), _u8391)) | hBOOL(hAPP(hAPP(c_member(_u8390), _u8392), _u8391)) | ( _u8391 = c_Orderings_Obot__class_Obot(tc_fun(_u8390, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u8390, hAPP(hAPP(c_Set_Oinsert(_u8390), _u8392), _u8391)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8390), _u8392), c_Big__Operators_Olinorder__class_OMin(_u8390, _u8391))) )).
% 12.54/12.78 cnf(matrix-4798, plain, ( ~class_Orderings_Olinorder(_u8393) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8393), _u8394)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8393, tc_HOL_Obool)), _u8394), hAPP(hAPP(c_Set_Oinsert(_u8393), _u8395), c_Orderings_Obot__class_Obot(tc_fun(_u8393, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8393, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u8393, hAPP(hAPP(c_Set_Oinsert(_u8393), _u8395), _u8394)) = _u8395) )).
% 12.54/12.78 cnf(matrix-4799, plain, ( ~class_Orderings_Olinorder(_u8393) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8393), _u8394)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8393, tc_HOL_Obool)), _u8394), hAPP(hAPP(c_Set_Oinsert(_u8393), _u8395), c_Orderings_Obot__class_Obot(tc_fun(_u8393, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8393, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u8393, hAPP(hAPP(c_Set_Oinsert(_u8393), _u8395), _u8394)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8393), _u8395), c_Big__Operators_Olinorder__class_OMin(_u8393, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8393, tc_HOL_Obool)), _u8394), hAPP(hAPP(c_Set_Oinsert(_u8393), _u8395), c_Orderings_Obot__class_Obot(tc_fun(_u8393, tc_HOL_Obool))))))) )).
% 12.54/12.78 cnf(matrix-4800, plain, ( ~class_Orderings_Olinorder(_u8396) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8396), _u8397)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8396), _u8398)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8396, tc_HOL_Obool)), _u8397), _u8398) = c_Orderings_Obot__class_Obot(tc_fun(_u8396, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8396), c_Big__Operators_Olinorder__class_OMin(_u8396, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8396, tc_HOL_Obool)), _u8397), _u8398))), c_Big__Operators_Olinorder__class_OMin(_u8396, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8396, tc_HOL_Obool)), _u8397), _u8398))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8396), c_Big__Operators_Olinorder__class_OMin(_u8396, _u8397)), c_Big__Operators_Olinorder__class_OMin(_u8396, _u8398))) )).
% 12.54/12.78 cnf(matrix-4801, plain, ( ~class_Orderings_Olinorder(_u8399) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8399), _u8400)) | ( _u8400 = c_Orderings_Obot__class_Obot(tc_fun(_u8399, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8399), _u8401)) | ( _u8401 = c_Orderings_Obot__class_Obot(tc_fun(_u8399, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8399, tc_HOL_Obool)), _u8400), _u8401) != c_Orderings_Obot__class_Obot(tc_fun(_u8399, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u8399, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8399, tc_HOL_Obool)), _u8400), _u8401)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8399), c_Big__Operators_Olinorder__class_OMin(_u8399, _u8400)), c_Big__Operators_Olinorder__class_OMin(_u8399, _u8401))) )).
% 12.54/12.78 cnf(matrix-4802, plain, ( ~class_Orderings_Olinorder(_u8404) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8404), _u8405)) | ( _u8405 = c_Orderings_Obot__class_Obot(tc_fun(_u8404, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u8404), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8404), skolem225(_u8405, _u8404)), skolem226(_u8405, _u8404))), hAPP(hAPP(c_Set_Oinsert(_u8404), skolem225(_u8405, _u8404)), hAPP(hAPP(c_Set_Oinsert(_u8404), skolem226(_u8405, _u8404)), c_Orderings_Obot__class_Obot(tc_fun(_u8404, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u8404), c_Big__Operators_Olattice_OInf__fin(_u8404, c_Orderings_Oord__class_Omin(_u8404), _u8405)), _u8405)) )).
% 12.54/12.78 cnf(matrix-4803, plain, ( ~class_Orderings_Olinorder(_u8408) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8408), _u8409)) | ( _u8409 = c_Orderings_Obot__class_Obot(tc_fun(_u8408, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u8408), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8408), skolem227(_u8409, _u8408)), skolem228(_u8409, _u8408))), hAPP(hAPP(c_Set_Oinsert(_u8408), skolem227(_u8409, _u8408)), hAPP(hAPP(c_Set_Oinsert(_u8408), skolem228(_u8409, _u8408)), c_Orderings_Obot__class_Obot(tc_fun(_u8408, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u8408), c_Big__Operators_Olinorder__class_OMin(_u8408, _u8409)), _u8409)) )).
% 12.54/12.78 cnf(matrix-4804, plain, ( ~class_Orderings_Olinorder(_u8412) | ( hAPP(_u8413, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8412), skolem229(_u8414, _u8413, _u8412)), skolem230(_u8414, _u8413, _u8412))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8412), hAPP(_u8413, skolem229(_u8414, _u8413, _u8412))), hAPP(_u8413, skolem230(_u8414, _u8413, _u8412)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8412), _u8414)) | ( _u8414 = c_Orderings_Obot__class_Obot(tc_fun(_u8412, tc_HOL_Obool))) | ( hAPP(_u8413, c_Big__Operators_Olattice_OInf__fin(_u8412, c_Orderings_Oord__class_Omin(_u8412), _u8414)) = c_Big__Operators_Olattice_OInf__fin(_u8412, c_Orderings_Oord__class_Omin(_u8412), hAPP(c_Set_Oimage(_u8412, _u8412, _u8413), _u8414))) )).
% 12.54/12.78 cnf(matrix-4805, plain, ( ~class_Orderings_Olinorder(_u8417) | ( hAPP(_u8418, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8417), skolem231(_u8419, _u8418, _u8417)), skolem232(_u8419, _u8418, _u8417))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8417), hAPP(_u8418, skolem231(_u8419, _u8418, _u8417))), hAPP(_u8418, skolem232(_u8419, _u8418, _u8417)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8417), _u8419)) | ( _u8419 = c_Orderings_Obot__class_Obot(tc_fun(_u8417, tc_HOL_Obool))) | ( hAPP(_u8418, c_Big__Operators_Olinorder__class_OMin(_u8417, _u8419)) = c_Big__Operators_Olinorder__class_OMin(_u8417, hAPP(c_Set_Oimage(_u8417, _u8417, _u8418), _u8419))) )).
% 12.54/12.78 cnf(matrix-4806, plain, ( ~class_Groups_Olinordered__ab__group__add(_u8420) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8420), _u8421)) | ( _u8421 = c_Orderings_Obot__class_Obot(tc_fun(_u8420, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8420), c_Big__Operators_Olinorder__class_OMax(_u8420, _u8421)) = c_Big__Operators_Olinorder__class_OMin(_u8420, hAPP(c_Set_Oimage(_u8420, _u8420, c_Groups_Ouminus__class_Ouminus(_u8420)), _u8421))) )).
% 12.54/12.78 cnf(matrix-4807, plain, ( ~class_Groups_Olinordered__ab__group__add(_u8422) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8422), _u8423)) | ( _u8423 = c_Orderings_Obot__class_Obot(tc_fun(_u8422, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8422), c_Big__Operators_Olinorder__class_OMin(_u8422, _u8423)) = c_Big__Operators_Olinorder__class_OMax(_u8422, hAPP(c_Set_Oimage(_u8422, _u8422, c_Groups_Ouminus__class_Ouminus(_u8422)), _u8423))) )).
% 12.54/12.78 cnf(matrix-4808, plain, ( ~class_Orderings_Olinorder(_u8425) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8425), _u8426)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8425), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8425), _u8427), _u8428)), hAPP(hAPP(c_Finite__Set_Ofold(_u8425, _u8425, c_Orderings_Oord__class_Omin(_u8425)), _u8428), _u8426))) | hBOOL(hAPP(hAPP(c_member(_u8425), skolem233(_u8428, _u8427, _u8426, _u8425)), _u8426)) )).
% 12.54/12.78 cnf(matrix-4809, plain, ( ~class_Orderings_Olinorder(_u8425) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8425), _u8426)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8425), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8425), _u8427), _u8428)), hAPP(hAPP(c_Finite__Set_Ofold(_u8425, _u8425, c_Orderings_Oord__class_Omin(_u8425)), _u8428), _u8426))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8425), _u8427), skolem233(_u8428, _u8427, _u8426, _u8425))) )).
% 12.54/12.78 cnf(matrix-4810, plain, ( ~class_Orderings_Olinorder(_u8430) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8430), _u8431)) | ~hBOOL(hAPP(hAPP(c_member(_u8430), _u8432), _u8431)) | ( c_Big__Operators_Olinorder__class_OMin(_u8430, _u8431) = _u8432) | hBOOL(hAPP(hAPP(c_member(_u8430), skolem234(_u8432, _u8431, _u8430)), _u8431)) )).
% 12.54/12.78 cnf(matrix-4811, plain, ( ~class_Orderings_Olinorder(_u8430) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8430), _u8431)) | ~hBOOL(hAPP(hAPP(c_member(_u8430), _u8432), _u8431)) | ( c_Big__Operators_Olinorder__class_OMin(_u8430, _u8431) = _u8432) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8430), _u8432), skolem234(_u8432, _u8431, _u8430))) )).
% 12.54/12.78 cnf(matrix-4812, plain, ( ~class_Orderings_Olinorder(_u8433) | ( c_Big__Operators_Olinorder__class_OMax(_u8433, hAPP(hAPP(c_Set_Oinsert(_u8433), _u8434), c_Orderings_Obot__class_Obot(tc_fun(_u8433, tc_HOL_Obool)))) = _u8434) )).
% 12.54/12.78 cnf(matrix-4813, plain, ( ~class_Orderings_Olinorder(_u8435) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8435), _u8436)) | ~hBOOL(hAPP(hAPP(c_member(_u8435), _u8437), _u8436)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8435), _u8437), c_Big__Operators_Olinorder__class_OMax(_u8435, _u8436))) )).
% 12.54/12.78 cnf(matrix-4814, plain, ( ~class_Orderings_Olinorder(_u8438) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8438), _u8439)) | ( _u8439 = c_Orderings_Obot__class_Obot(tc_fun(_u8438, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u8438), c_Big__Operators_Olinorder__class_OMax(_u8438, _u8439)), _u8439)) )).
% 12.54/12.78 cnf(matrix-4815, plain, ( ~class_Orderings_Olinorder(_u8440) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8440, tc_HOL_Obool)), _u8441), _u8442)) | ( _u8441 = c_Orderings_Obot__class_Obot(tc_fun(_u8440, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8440), _u8442)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8440), c_Big__Operators_Olinorder__class_OMax(_u8440, _u8441)), c_Big__Operators_Olinorder__class_OMax(_u8440, _u8442))) )).
% 12.54/12.78 cnf(matrix-4816, plain, ( ~class_Orderings_Olinorder(_u8443) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8443), _u8444)) | ~hBOOL(hAPP(hAPP(c_member(_u8443), _u8445), _u8444)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8443, tc_HOL_Obool)), _u8444), hAPP(hAPP(c_Set_Oinsert(_u8443), _u8445), c_Orderings_Obot__class_Obot(tc_fun(_u8443, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8443, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8443, _u8444) = _u8445) )).
% 12.54/12.78 cnf(matrix-4817, plain, ( ~class_Orderings_Olinorder(_u8443) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8443), _u8444)) | ~hBOOL(hAPP(hAPP(c_member(_u8443), _u8445), _u8444)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8443, tc_HOL_Obool)), _u8444), hAPP(hAPP(c_Set_Oinsert(_u8443), _u8445), c_Orderings_Obot__class_Obot(tc_fun(_u8443, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8443, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8443, _u8444) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8443), _u8445), c_Big__Operators_Olinorder__class_OMax(_u8443, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8443, tc_HOL_Obool)), _u8444), hAPP(hAPP(c_Set_Oinsert(_u8443), _u8445), c_Orderings_Obot__class_Obot(tc_fun(_u8443, tc_HOL_Obool))))))) )).
% 12.54/12.78 cnf(matrix-4818, plain, ( ~class_Orderings_Olinorder(_u8447) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8447), _u8448)) | ~hBOOL(hAPP(hAPP(c_member(_u8447), _u8449), _u8448)) | ( c_Big__Operators_Olinorder__class_OMax(_u8447, _u8448) = _u8449) | hBOOL(hAPP(hAPP(c_member(_u8447), skolem235(_u8449, _u8448, _u8447)), _u8448)) )).
% 12.54/12.78 cnf(matrix-4819, plain, ( ~class_Orderings_Olinorder(_u8447) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8447), _u8448)) | ~hBOOL(hAPP(hAPP(c_member(_u8447), _u8449), _u8448)) | ( c_Big__Operators_Olinorder__class_OMax(_u8447, _u8448) = _u8449) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8447), skolem235(_u8449, _u8448, _u8447)), _u8449)) )).
% 12.54/12.78 cnf(matrix-4820, plain, ( ~class_Orderings_Olinorder(_u8450) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8450), _u8451)) | hBOOL(hAPP(hAPP(c_member(_u8450), _u8452), _u8451)) | ( c_Big__Operators_Olinorder__class_OMax(_u8450, hAPP(hAPP(c_Set_Oinsert(_u8450), _u8452), _u8451)) = hAPP(hAPP(c_Finite__Set_Ofold(_u8450, _u8450, c_Orderings_Oord__class_Omax(_u8450)), _u8452), _u8451)) )).
% 12.54/12.78 cnf(matrix-4821, plain, ( ~class_Orderings_Olinorder(_u8453) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8453), _u8454)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8453), _u8455)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8453, tc_HOL_Obool)), _u8454), _u8455) = c_Orderings_Obot__class_Obot(tc_fun(_u8453, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8453), c_Big__Operators_Olinorder__class_OMax(_u8453, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8453, tc_HOL_Obool)), _u8454), _u8455))), c_Big__Operators_Olinorder__class_OMax(_u8453, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8453, tc_HOL_Obool)), _u8454), _u8455))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8453), c_Big__Operators_Olinorder__class_OMax(_u8453, _u8454)), c_Big__Operators_Olinorder__class_OMax(_u8453, _u8455))) )).
% 12.54/12.78 cnf(matrix-4822, plain, ( ~class_Orderings_Olinorder(_u8456) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8456), _u8457), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8456), _u8457), _u8458)) = _u8457) )).
% 12.54/12.78 cnf(matrix-4823, plain, ( ~class_Orderings_Olinorder(_u8459) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8459), _u8460), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8459), _u8460), _u8461)) = _u8460) )).
% 12.54/12.78 cnf(matrix-4824, plain, ( ~class_Orderings_Olinorder(_u8462) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8462), _u8463), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8462), _u8464), _u8465)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8462), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8462), _u8463), _u8464)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8462), _u8463), _u8465))) )).
% 12.54/12.78 cnf(matrix-4825, plain, ( ~class_Orderings_Olinorder(_u8466) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8466), _u8467), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8466), _u8468), _u8469)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8466), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8466), _u8467), _u8468)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8466), _u8467), _u8469))) )).
% 12.54/12.78 cnf(matrix-4826, plain, ( ~class_Orderings_Olinorder(_u8470) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8470), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8470), _u8471), _u8472)), _u8473) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8470), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8470), _u8471), _u8473)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8470), _u8472), _u8473))) )).
% 12.54/12.78 cnf(matrix-4827, plain, ( ~class_Orderings_Olinorder(_u8474) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8474), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8474), _u8475), _u8476)), _u8477) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8474), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8474), _u8475), _u8477)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8474), _u8476), _u8477))) )).
% 12.54/12.78 cnf(matrix-4828, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u8478), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u8478) )).
% 12.54/12.78 cnf(matrix-4829, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8479) = _u8479) )).
% 12.54/12.78 cnf(matrix-4830, plain, ( ~class_Orderings_Olinorder(_u8480) | c_Finite__Set_Ofun__left__comm__idem(_u8480, _u8480, c_Orderings_Oord__class_Omax(_u8480)) )).
% 12.54/12.78 cnf(matrix-4831, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8481)), hAPP(c_Nat_OSuc, _u8482)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u8481), _u8482))) )).
% 12.54/12.78 cnf(matrix-4832, plain, ( ~class_Orderings_Olinorder(_u8483) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8483), _u8484), _u8484) = _u8484) )).
% 12.54/12.78 cnf(matrix-4833, plain, ( ~class_Orderings_Olinorder(_u8485) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8485), _u8486), _u8486) = _u8486) )).
% 12.54/12.78 cnf(matrix-4834, plain, ( ~class_Orderings_Olinorder(_u8487) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8487), _u8488), _u8489) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8487), _u8489), _u8488)) )).
% 12.54/12.78 cnf(matrix-4835, plain, ( ~class_Orderings_Olinorder(_u8490) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8490), _u8491), _u8492) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8490), _u8492), _u8491)) )).
% 12.54/12.78 cnf(matrix-4836, plain, ( ~class_Orderings_Olinorder(_u8493) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8493), _u8494), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8493), _u8494), _u8495)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8493), _u8494), _u8495)) )).
% 12.54/12.78 cnf(matrix-4837, plain, ( ~class_Orderings_Olinorder(_u8496) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8496), _u8497), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8496), _u8497), _u8498)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8496), _u8497), _u8498)) )).
% 12.54/12.78 cnf(matrix-4838, plain, ( ~class_Orderings_Olinorder(_u8499) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8499), _u8500), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8499), _u8501), _u8502)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8499), _u8501), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8499), _u8500), _u8502))) )).
% 12.54/12.78 cnf(matrix-4839, plain, ( ~class_Orderings_Olinorder(_u8503) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8503), _u8504), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8503), _u8505), _u8506)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8503), _u8505), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8503), _u8504), _u8506))) )).
% 12.54/12.78 cnf(matrix-4840, plain, ( ~class_Orderings_Olinorder(_u8507) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8507), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8507), _u8508), _u8509)), _u8510) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8507), _u8508), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8507), _u8509), _u8510))) )).
% 12.54/12.78 cnf(matrix-4841, plain, ( ~class_Orderings_Olinorder(_u8511) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8511), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8511), _u8512), _u8513)), _u8514) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8511), _u8512), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8511), _u8513), _u8514))) )).
% 12.54/12.78 cnf(matrix-4842, plain, ( ~class_Lattices_Osemilattice__sup(_u8515) | ~class_Orderings_Olinorder(_u8515) | ( c_Lattices_Osemilattice__sup__class_Osup(_u8515) = c_Orderings_Oord__class_Omax(_u8515)) )).
% 12.54/12.78 cnf(matrix-4843, plain, ( ~class_Groups_Oordered__ab__group__add(_u8516) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8516), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8516), _u8517), _u8518)), _u8519) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8516), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8516), _u8517), _u8519)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8516), _u8518), _u8519))) )).
% 12.54/12.78 cnf(matrix-4844, plain, ( ~class_Orderings_Olinorder(_u8520) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8520), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8520), _u8521), _u8522)), _u8523)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8520), _u8521), _u8523)) )).
% 12.54/12.78 cnf(matrix-4845, plain, ( ~class_Orderings_Olinorder(_u8520) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8520), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8520), _u8521), _u8522)), _u8523)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8520), _u8522), _u8523)) )).
% 12.54/12.78 cnf(matrix-4846, plain, ( ~class_Orderings_Olinorder(_u8524) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8524), _u8525), _u8526)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8524), _u8527), _u8528)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8524), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8524), _u8525), _u8527)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8524), _u8526), _u8528))) )).
% 12.54/12.78 cnf(matrix-4847, plain, ( ~class_Orderings_Olinorder(_u8529) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8529), _u8530), _u8531)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8529), _u8532), _u8531)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8529), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8529), _u8530), _u8532)), _u8531)) )).
% 12.54/12.78 cnf(matrix-4848, plain, ( ~class_Orderings_Olinorder(_u8533) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8533), _u8534), _u8535)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8533), _u8536), _u8535)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8533), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8533), _u8534), _u8536)), _u8535)) )).
% 12.54/12.78 cnf(matrix-4849, plain, ( ~class_Orderings_Olinorder(_u8537) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8537), _u8538), _u8539)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8537), _u8539), _u8538) = _u8539) )).
% 12.54/12.78 cnf(matrix-4850, plain, ( ~class_Orderings_Olinorder(_u8540) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8540), _u8541), _u8542)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8540), _u8541), _u8542) = _u8542) )).
% 12.54/12.78 cnf(matrix-4851, plain, ( ~class_Orderings_Olinorder(_u8543) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8543), _u8544), _u8545)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8543), _u8544), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8543), _u8546), _u8545))) )).
% 12.54/12.78 cnf(matrix-4852, plain, ( ~class_Orderings_Olinorder(_u8547) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8547), _u8548), _u8549)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8547), _u8548), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8547), _u8549), _u8550))) )).
% 12.54/12.78 cnf(matrix-4853, plain, ( ~class_Orderings_Olinorder(_u8551) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8551), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8551), _u8552), _u8553)), _u8554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8551), _u8552), _u8554)) )).
% 12.54/12.78 cnf(matrix-4854, plain, ( ~class_Orderings_Olinorder(_u8551) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8551), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8551), _u8552), _u8553)), _u8554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8551), _u8553), _u8554)) )).
% 12.54/12.78 cnf(matrix-4855, plain, ( ~class_Orderings_Olinorder(_u8551) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8551), _u8552), _u8554)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8551), _u8553), _u8554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8551), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8551), _u8552), _u8553)), _u8554)) )).
% 12.54/12.78 cnf(matrix-4856, plain, ( ~class_Orderings_Olinorder(_u8555) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8555), _u8556), _u8557)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8555), _u8556), _u8557) = _u8557) )).
% 12.54/12.78 cnf(matrix-4857, plain, ( ~class_Orderings_Olinorder(_u8555) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8555), _u8556), _u8557) != _u8557) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8555), _u8556), _u8557)) )).
% 12.54/12.78 cnf(matrix-4858, plain, ( ~class_Orderings_Olinorder(_u8558) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8558), _u8559), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8558), _u8560), _u8559))) )).
% 12.54/12.78 cnf(matrix-4859, plain, ( ~class_Orderings_Olinorder(_u8561) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8561), _u8562), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8561), _u8562), _u8563))) )).
% 12.54/12.78 cnf(matrix-4860, plain, ( ~class_Orderings_Olinorder(_u8564) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8564), _u8565), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8564), _u8566), _u8567))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8564), _u8565), _u8566)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8564), _u8565), _u8567)) )).
% 12.54/12.78 cnf(matrix-4861, plain, ( ~class_Orderings_Olinorder(_u8564) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8564), _u8565), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8564), _u8566), _u8567))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8564), _u8565), _u8566)) )).
% 12.54/12.78 cnf(matrix-4862, plain, ( ~class_Orderings_Olinorder(_u8564) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8564), _u8565), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8564), _u8566), _u8567))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8564), _u8565), _u8567)) )).
% 12.54/12.78 cnf(matrix-4863, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u8568) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8568), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8568), _u8569), _u8570)), _u8571) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8568), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8568), _u8569), _u8571)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8568), _u8570), _u8571))) )).
% 12.54/12.78 cnf(matrix-4864, plain, ( ~class_Orderings_Olinorder(_u8572) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8572), _u8573), _u8574)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8572), _u8573), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8572), _u8575), _u8574))) )).
% 12.54/12.78 cnf(matrix-4865, plain, ( ~class_Orderings_Olinorder(_u8576) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8576), _u8577), _u8578)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8576), _u8577), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8576), _u8578), _u8579))) )).
% 12.54/12.78 cnf(matrix-4866, plain, ( ~class_Orderings_Olinorder(_u8580) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8580), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8580), _u8581), _u8582)), _u8583)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8580), _u8581), _u8583)) )).
% 12.54/12.78 cnf(matrix-4867, plain, ( ~class_Orderings_Olinorder(_u8580) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8580), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8580), _u8581), _u8582)), _u8583)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8580), _u8582), _u8583)) )).
% 12.54/12.78 cnf(matrix-4868, plain, ( ~class_Orderings_Olinorder(_u8580) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8580), _u8581), _u8583)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8580), _u8582), _u8583)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8580), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8580), _u8581), _u8582)), _u8583)) )).
% 12.54/12.78 cnf(matrix-4869, plain, ( ~class_Orderings_Olinorder(_u8584) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8584), _u8585), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8584), _u8586), _u8587))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8584), _u8585), _u8586)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8584), _u8585), _u8587)) )).
% 12.54/12.78 cnf(matrix-4870, plain, ( ~class_Orderings_Olinorder(_u8584) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8584), _u8585), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8584), _u8586), _u8587))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8584), _u8585), _u8586)) )).
% 12.54/12.78 cnf(matrix-4871, plain, ( ~class_Orderings_Olinorder(_u8584) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8584), _u8585), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8584), _u8586), _u8587))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8584), _u8585), _u8587)) )).
% 12.54/12.78 cnf(matrix-4872, plain, ( ~class_Int_Onumber(_u8588) | ~class_Orderings_Oord(_u8588) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8588), hAPP(c_Int_Onumber__class_Onumber__of(_u8588), _u8589)), hAPP(c_Int_Onumber__class_Onumber__of(_u8588), _u8590))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8588), hAPP(c_Int_Onumber__class_Onumber__of(_u8588), _u8589)), hAPP(c_Int_Onumber__class_Onumber__of(_u8588), _u8590)) = hAPP(c_Int_Onumber__class_Onumber__of(_u8588), _u8590)) )).
% 12.54/12.78 cnf(matrix-4873, plain, ( ~class_Int_Onumber(_u8588) | ~class_Orderings_Oord(_u8588) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8588), hAPP(c_Int_Onumber__class_Onumber__of(_u8588), _u8589)), hAPP(c_Int_Onumber__class_Onumber__of(_u8588), _u8590))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8588), hAPP(c_Int_Onumber__class_Onumber__of(_u8588), _u8589)), hAPP(c_Int_Onumber__class_Onumber__of(_u8588), _u8590)) = hAPP(c_Int_Onumber__class_Onumber__of(_u8588), _u8589)) )).
% 12.54/12.78 cnf(matrix-4874, plain, ( ~class_Orderings_Olinorder(_u8591) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8591), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8591), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8591), _u8592), _u8593)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8591), _u8592), _u8594))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8591), _u8592), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8591), _u8593), _u8594)))) )).
% 12.54/12.78 cnf(matrix-4875, plain, ( ~class_Orderings_Olinorder(_u8595) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8595), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8595), _u8596), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8595), _u8597), _u8598))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8595), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8595), _u8596), _u8597)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8595), _u8596), _u8598)))) )).
% 12.54/12.78 cnf(matrix-4876, plain, ( ~class_Groups_Olinordered__ab__group__add(_u8599) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8599), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8599), _u8600), _u8601)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8599), hAPP(c_Groups_Ouminus__class_Ouminus(_u8599), _u8600)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8599), _u8601))) )).
% 12.54/12.78 cnf(matrix-4877, plain, ( ~class_Groups_Olinordered__ab__group__add(_u8602) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8602), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8602), _u8603), _u8604)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8602), hAPP(c_Groups_Ouminus__class_Ouminus(_u8602), _u8603)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8602), _u8604))) )).
% 12.54/12.78 cnf(matrix-4878, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8605), _u8606)), _u8606) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u8605), _u8606)) )).
% 12.54/12.78 cnf(matrix-4879, plain, ( ~class_Orderings_Olinorder(_u8607) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8607), _u8608)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u8607, _u8607, c_Orderings_Oord__class_Omax(_u8607)), _u8609), hAPP(hAPP(c_Set_Oinsert(_u8607), _u8610), _u8608)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8607), _u8610), hAPP(hAPP(c_Finite__Set_Ofold(_u8607, _u8607, c_Orderings_Oord__class_Omax(_u8607)), _u8609), _u8608))) )).
% 12.54/12.78 cnf(matrix-4880, plain, ( ~class_Orderings_Olinorder(_u8611) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8611), _u8612)) | ~hBOOL(hAPP(hAPP(c_member(_u8611), _u8613), _u8612)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8611), _u8613), c_Big__Operators_Olinorder__class_OMax(_u8611, _u8612)) = c_Big__Operators_Olinorder__class_OMax(_u8611, _u8612)) )).
% 12.54/12.78 cnf(matrix-4881, plain, ( ~class_Orderings_Olinorder(_u8614) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8614, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8614, _u8615, _u8616)), c_SetInterval_Oord__class_OatLeastAtMost(_u8614, _u8617, _u8618)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8614, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8614), _u8615), _u8617), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8614), _u8616), _u8618))) )).
% 12.54/12.78 cnf(matrix-4882, plain, ( ~class_Orderings_Olinorder(_u8619) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8619, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8619, _u8620), _u8621)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8619, _u8622), _u8623)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8619, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8619), _u8620), _u8622)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8619), _u8621), _u8623))) )).
% 12.54/12.78 cnf(matrix-4883, plain, ( ~class_Orderings_Olinorder(_u8624) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8624, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8624, _u8625, _u8626)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8624, _u8627, _u8628)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u8624, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8624), _u8625), _u8627), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8624), _u8626), _u8628))) )).
% 12.54/12.78 cnf(matrix-4884, plain, ( ~class_Orderings_Olinorder(_u8629) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8629, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8629, _u8630, _u8631)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8629, _u8632, _u8633)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u8629, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8629), _u8630), _u8632), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8629), _u8631), _u8633))) )).
% 12.54/12.78 cnf(matrix-4885, plain, ( ~class_Orderings_Olinorder(_u8634) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8634, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8634, _u8635, _u8636)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8634), _u8637)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8634, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8634), _u8635), _u8637), _u8636)) )).
% 12.54/12.78 cnf(matrix-4886, plain, ( ~class_Orderings_Olinorder(_u8638) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8638, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8638), _u8639)), c_SetInterval_Oord__class_OatLeastAtMost(_u8638, _u8640, _u8641)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8638, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8638), _u8639), _u8640), _u8641)) )).
% 12.54/12.78 cnf(matrix-4887, plain, ( ~class_Orderings_Olinorder(_u8642) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8642), _u8643)) | ( c_Big__Operators_Olinorder__class_OMax(_u8642, _u8643) = hAPP(c_Finite__Set_Ofold1(_u8642, c_Orderings_Oord__class_Omax(_u8642)), _u8643)) )).
% 12.54/12.78 cnf(matrix-4888, plain, ( ~class_Orderings_Olinorder(_u8644) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8644), _u8645)) | ~hBOOL(hAPP(hAPP(c_member(_u8644), _u8646), _u8645)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8644), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8644), _u8646), _u8647)), hAPP(hAPP(c_Finite__Set_Ofold(_u8644, _u8644, c_Orderings_Oord__class_Omax(_u8644)), _u8647), _u8645))) )).
% 12.54/12.78 cnf(matrix-4889, plain, ( ~class_Orderings_Olinorder(_u8648) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8648), _u8649)) | ( _u8649 = c_Orderings_Obot__class_Obot(tc_fun(_u8648, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8648, hAPP(hAPP(c_Set_Oinsert(_u8648), _u8650), _u8649)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8648), _u8650), c_Big__Operators_Olinorder__class_OMax(_u8648, _u8649))) )).
% 12.54/12.78 cnf(matrix-4890, plain, ( ~class_Orderings_Olinorder(_u8651) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8651), _u8652)) | ( _u8653 = c_Orderings_Obot__class_Obot(tc_fun(_u8651, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8651, tc_HOL_Obool)), _u8653), _u8652)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8651), c_Big__Operators_Olinorder__class_OMax(_u8651, _u8653)), c_Big__Operators_Olinorder__class_OMax(_u8651, _u8652)) = c_Big__Operators_Olinorder__class_OMax(_u8651, _u8652)) )).
% 12.54/12.78 cnf(matrix-4891, plain, ( ~class_Orderings_Olinorder(_u8654) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8654), _u8655)) | ~hBOOL(hAPP(hAPP(c_member(_u8654), _u8656), _u8655)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8654), _u8656), c_Big__Operators_Olattice_OInf__fin(_u8654, c_Orderings_Oord__class_Omin(_u8654), _u8655)) = _u8656) )).
% 12.54/12.78 cnf(matrix-4892, plain, ( ~class_Orderings_Olinorder(_u8657) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8657), _u8658)) | ( _u8658 = c_Orderings_Obot__class_Obot(tc_fun(_u8657, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8657), _u8659)) | ( _u8659 = c_Orderings_Obot__class_Obot(tc_fun(_u8657, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8657, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8657, tc_HOL_Obool)), _u8658), _u8659)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8657), c_Big__Operators_Olinorder__class_OMax(_u8657, _u8658)), c_Big__Operators_Olinorder__class_OMax(_u8657, _u8659))) )).
% 12.54/12.78 cnf(matrix-4893, plain, ( ~class_Orderings_Olinorder(_u8660) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8660), _u8661)) | ( c_Big__Operators_Olinorder__class_OMax(_u8660, hAPP(hAPP(c_Set_Oinsert(_u8660), _u8662), _u8661)) = hAPP(hAPP(c_Finite__Set_Ofold(_u8660, _u8660, c_Orderings_Oord__class_Omax(_u8660)), _u8662), _u8661)) )).
% 12.54/12.78 cnf(matrix-4894, plain, ( ~class_Orderings_Olinorder(_u8663) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8663), _u8664)) | hBOOL(hAPP(hAPP(c_member(_u8663), _u8665), _u8664)) | ( _u8664 = c_Orderings_Obot__class_Obot(tc_fun(_u8663, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8663, hAPP(hAPP(c_Set_Oinsert(_u8663), _u8665), _u8664)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8663), _u8665), c_Big__Operators_Olinorder__class_OMax(_u8663, _u8664))) )).
% 12.54/12.78 cnf(matrix-4895, plain, ( ~class_Orderings_Olinorder(_u8666) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8666), _u8667)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8666, tc_HOL_Obool)), _u8667), hAPP(hAPP(c_Set_Oinsert(_u8666), _u8668), c_Orderings_Obot__class_Obot(tc_fun(_u8666, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8666, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8666, hAPP(hAPP(c_Set_Oinsert(_u8666), _u8668), _u8667)) = _u8668) )).
% 12.54/12.78 cnf(matrix-4896, plain, ( ~class_Orderings_Olinorder(_u8666) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8666), _u8667)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8666, tc_HOL_Obool)), _u8667), hAPP(hAPP(c_Set_Oinsert(_u8666), _u8668), c_Orderings_Obot__class_Obot(tc_fun(_u8666, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8666, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8666, hAPP(hAPP(c_Set_Oinsert(_u8666), _u8668), _u8667)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8666), _u8668), c_Big__Operators_Olinorder__class_OMax(_u8666, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8666, tc_HOL_Obool)), _u8667), hAPP(hAPP(c_Set_Oinsert(_u8666), _u8668), c_Orderings_Obot__class_Obot(tc_fun(_u8666, tc_HOL_Obool))))))) )).
% 12.54/12.78 cnf(matrix-4897, plain, ( ~class_Orderings_Olinorder(_u8669) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8669), _u8670)) | ( _u8670 = c_Orderings_Obot__class_Obot(tc_fun(_u8669, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8669), _u8671)) | ( _u8671 = c_Orderings_Obot__class_Obot(tc_fun(_u8669, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8669, tc_HOL_Obool)), _u8670), _u8671) != c_Orderings_Obot__class_Obot(tc_fun(_u8669, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8669, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8669, tc_HOL_Obool)), _u8670), _u8671)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8669), c_Big__Operators_Olinorder__class_OMax(_u8669, _u8670)), c_Big__Operators_Olinorder__class_OMax(_u8669, _u8671))) )).
% 12.54/12.78 cnf(matrix-4898, plain, ( ~class_Orderings_Oord(_u8672) | ( c_Orderings_Oord__class_Omax(_u8672) = c_Orderings_Oord_Omax(_u8672, c_Orderings_Oord__class_Oless__eq(_u8672))) )).
% 12.54/12.78 cnf(matrix-4899, plain, ( ~class_Orderings_Olinorder(_u8675) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8675), _u8676)) | ( _u8676 = c_Orderings_Obot__class_Obot(tc_fun(_u8675, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u8675), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8675), skolem236(_u8676, _u8675)), skolem237(_u8676, _u8675))), hAPP(hAPP(c_Set_Oinsert(_u8675), skolem236(_u8676, _u8675)), hAPP(hAPP(c_Set_Oinsert(_u8675), skolem237(_u8676, _u8675)), c_Orderings_Obot__class_Obot(tc_fun(_u8675, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u8675), c_Big__Operators_Olinorder__class_OMax(_u8675, _u8676)), _u8676)) )).
% 12.54/12.78 cnf(matrix-4900, plain, ( ~class_Orderings_Olinorder(_u8677) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8677), _u8678)) | ( _u8678 = c_Orderings_Obot__class_Obot(tc_fun(_u8677, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8677), c_Big__Operators_Olattice_OInf__fin(_u8677, c_Orderings_Oord__class_Omin(_u8677), _u8678)), c_Big__Operators_Olattice_OSup__fin(_u8677, c_Orderings_Oord__class_Omax(_u8677), _u8678))) )).
% 12.54/12.78 cnf(matrix-4901, plain, ( ~class_Orderings_Olinorder(_u8679) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8679), _u8680)) | ~hBOOL(hAPP(hAPP(c_member(_u8679), _u8681), _u8680)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8679, tc_HOL_Obool)), _u8680), hAPP(hAPP(c_Set_Oinsert(_u8679), _u8681), c_Orderings_Obot__class_Obot(tc_fun(_u8679, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8679, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u8679, c_Orderings_Oord__class_Omax(_u8679), _u8680) = _u8681) )).
% 12.54/12.78 cnf(matrix-4902, plain, ( ~class_Orderings_Olinorder(_u8679) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8679), _u8680)) | ~hBOOL(hAPP(hAPP(c_member(_u8679), _u8681), _u8680)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8679, tc_HOL_Obool)), _u8680), hAPP(hAPP(c_Set_Oinsert(_u8679), _u8681), c_Orderings_Obot__class_Obot(tc_fun(_u8679, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8679, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u8679, c_Orderings_Oord__class_Omax(_u8679), _u8680) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8679), _u8681), c_Big__Operators_Olattice_OSup__fin(_u8679, c_Orderings_Oord__class_Omax(_u8679), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8679, tc_HOL_Obool)), _u8680), hAPP(hAPP(c_Set_Oinsert(_u8679), _u8681), c_Orderings_Obot__class_Obot(tc_fun(_u8679, tc_HOL_Obool))))))) )).
% 12.54/12.78 cnf(matrix-4903, plain, ( ( c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-4904, plain, ( ~class_Orderings_Olinorder(_u8682) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8682), _u8683)) | ~hBOOL(hAPP(hAPP(c_member(_u8682), _u8684), _u8683)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8682), _u8684), c_Big__Operators_Olattice_OSup__fin(_u8682, c_Orderings_Oord__class_Omax(_u8682), _u8683)) = c_Big__Operators_Olattice_OSup__fin(_u8682, c_Orderings_Oord__class_Omax(_u8682), _u8683)) )).
% 12.54/12.78 cnf(matrix-4905, plain, ( ~class_Orderings_Olinorder(_u8685) | ( c_Big__Operators_Olattice_OSup__fin(_u8685, c_Orderings_Oord__class_Omax(_u8685), hAPP(hAPP(c_Set_Oinsert(_u8685), _u8686), c_Orderings_Obot__class_Obot(tc_fun(_u8685, tc_HOL_Obool)))) = _u8686) )).
% 12.54/12.78 cnf(matrix-4906, plain, ( ~class_Orderings_Olinorder(_u8687) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8687), _u8688)) | ( c_Big__Operators_Olattice_OSup__fin(_u8687, c_Orderings_Oord__class_Omax(_u8687), _u8688) = hAPP(c_Finite__Set_Ofold1(_u8687, c_Orderings_Oord__class_Omax(_u8687)), _u8688)) )).
% 12.54/12.78 cnf(matrix-4907, plain, ( ~class_Orderings_Olinorder(_u8689) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8689), _u8690)) | ( _u8690 = c_Orderings_Obot__class_Obot(tc_fun(_u8689, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u8689, c_Orderings_Oord__class_Omax(_u8689), hAPP(hAPP(c_Set_Oinsert(_u8689), _u8691), _u8690)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8689), _u8691), c_Big__Operators_Olattice_OSup__fin(_u8689, c_Orderings_Oord__class_Omax(_u8689), _u8690))) )).
% 12.54/12.78 cnf(matrix-4908, plain, ( ~class_Orderings_Olinorder(_u8692) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8692), _u8693)) | ( _u8694 = c_Orderings_Obot__class_Obot(tc_fun(_u8692, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8692, tc_HOL_Obool)), _u8694), _u8693)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8692), c_Big__Operators_Olattice_OSup__fin(_u8692, c_Orderings_Oord__class_Omax(_u8692), _u8694)), c_Big__Operators_Olattice_OSup__fin(_u8692, c_Orderings_Oord__class_Omax(_u8692), _u8693)) = c_Big__Operators_Olattice_OSup__fin(_u8692, c_Orderings_Oord__class_Omax(_u8692), _u8693)) )).
% 12.54/12.78 cnf(matrix-4909, plain, ( ~class_Orderings_Olinorder(_u8695) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8695), _u8696)) | ~hBOOL(hAPP(hAPP(c_member(_u8695), _u8697), _u8696)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8695), _u8697), c_Big__Operators_Olattice_OSup__fin(_u8695, c_Orderings_Oord__class_Omax(_u8695), _u8696)) = _u8697) )).
% 12.54/12.78 cnf(matrix-4910, plain, ( ~class_Orderings_Olinorder(_u8698) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8698), _u8699)) | ( _u8699 = c_Orderings_Obot__class_Obot(tc_fun(_u8698, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8698), _u8700)) | ( _u8700 = c_Orderings_Obot__class_Obot(tc_fun(_u8698, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u8698, c_Orderings_Oord__class_Omax(_u8698), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8698, tc_HOL_Obool)), _u8699), _u8700)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8698), c_Big__Operators_Olattice_OSup__fin(_u8698, c_Orderings_Oord__class_Omax(_u8698), _u8699)), c_Big__Operators_Olattice_OSup__fin(_u8698, c_Orderings_Oord__class_Omax(_u8698), _u8700))) )).
% 12.54/12.78 cnf(matrix-4911, plain, ( ~class_Orderings_Olinorder(_u8701) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8701), _u8702)) | ( c_Big__Operators_Olattice_OSup__fin(_u8701, c_Orderings_Oord__class_Omax(_u8701), hAPP(hAPP(c_Set_Oinsert(_u8701), _u8703), _u8702)) = hAPP(hAPP(c_Finite__Set_Ofold(_u8701, _u8701, c_Orderings_Oord__class_Omax(_u8701)), _u8703), _u8702)) )).
% 12.54/12.78 cnf(matrix-4912, plain, ( ~class_Orderings_Olinorder(_u8704) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8704), _u8705)) | hBOOL(hAPP(hAPP(c_member(_u8704), _u8706), _u8705)) | ( _u8705 = c_Orderings_Obot__class_Obot(tc_fun(_u8704, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u8704, c_Orderings_Oord__class_Omax(_u8704), hAPP(hAPP(c_Set_Oinsert(_u8704), _u8706), _u8705)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8704), _u8706), c_Big__Operators_Olattice_OSup__fin(_u8704, c_Orderings_Oord__class_Omax(_u8704), _u8705))) )).
% 12.54/12.78 cnf(matrix-4913, plain, ( ~class_Orderings_Olinorder(_u8707) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8707), _u8708)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8707, tc_HOL_Obool)), _u8708), hAPP(hAPP(c_Set_Oinsert(_u8707), _u8709), c_Orderings_Obot__class_Obot(tc_fun(_u8707, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8707, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u8707, c_Orderings_Oord__class_Omax(_u8707), hAPP(hAPP(c_Set_Oinsert(_u8707), _u8709), _u8708)) = _u8709) )).
% 12.54/12.78 cnf(matrix-4914, plain, ( ~class_Orderings_Olinorder(_u8707) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8707), _u8708)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8707, tc_HOL_Obool)), _u8708), hAPP(hAPP(c_Set_Oinsert(_u8707), _u8709), c_Orderings_Obot__class_Obot(tc_fun(_u8707, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8707, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u8707, c_Orderings_Oord__class_Omax(_u8707), hAPP(hAPP(c_Set_Oinsert(_u8707), _u8709), _u8708)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8707), _u8709), c_Big__Operators_Olattice_OSup__fin(_u8707, c_Orderings_Oord__class_Omax(_u8707), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8707, tc_HOL_Obool)), _u8708), hAPP(hAPP(c_Set_Oinsert(_u8707), _u8709), c_Orderings_Obot__class_Obot(tc_fun(_u8707, tc_HOL_Obool))))))) )).
% 12.54/12.78 cnf(matrix-4915, plain, ( ~class_Orderings_Olinorder(_u8710) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8710), _u8711)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8710), _u8712)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8710, tc_HOL_Obool)), _u8711), _u8712) = c_Orderings_Obot__class_Obot(tc_fun(_u8710, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8710), c_Big__Operators_Olattice_OSup__fin(_u8710, c_Orderings_Oord__class_Omax(_u8710), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8710, tc_HOL_Obool)), _u8711), _u8712))), c_Big__Operators_Olattice_OSup__fin(_u8710, c_Orderings_Oord__class_Omax(_u8710), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8710, tc_HOL_Obool)), _u8711), _u8712))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8710), c_Big__Operators_Olattice_OSup__fin(_u8710, c_Orderings_Oord__class_Omax(_u8710), _u8711)), c_Big__Operators_Olattice_OSup__fin(_u8710, c_Orderings_Oord__class_Omax(_u8710), _u8712))) )).
% 12.54/12.78 cnf(matrix-4916, plain, ( ~class_Orderings_Olinorder(_u8713) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8713), _u8714)) | ( _u8714 = c_Orderings_Obot__class_Obot(tc_fun(_u8713, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8713), _u8715)) | ( _u8715 = c_Orderings_Obot__class_Obot(tc_fun(_u8713, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8713, tc_HOL_Obool)), _u8714), _u8715) != c_Orderings_Obot__class_Obot(tc_fun(_u8713, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u8713, c_Orderings_Oord__class_Omax(_u8713), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8713, tc_HOL_Obool)), _u8714), _u8715)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8713), c_Big__Operators_Olattice_OSup__fin(_u8713, c_Orderings_Oord__class_Omax(_u8713), _u8714)), c_Big__Operators_Olattice_OSup__fin(_u8713, c_Orderings_Oord__class_Omax(_u8713), _u8715))) )).
% 12.54/12.78 cnf(matrix-4917, plain, ( ~class_Orderings_Olinorder(_u8716) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8716), _u8717)) | hBOOL(hAPP(hAPP(c_member(_u8716), _u8718), _u8717)) | ( c_Big__Operators_Olattice_OSup__fin(_u8716, c_Orderings_Oord__class_Omax(_u8716), hAPP(hAPP(c_Set_Oinsert(_u8716), _u8718), _u8717)) = hAPP(hAPP(c_Finite__Set_Ofold(_u8716, _u8716, c_Orderings_Oord__class_Omax(_u8716)), _u8718), _u8717)) )).
% 12.54/12.78 cnf(matrix-4918, plain, ( ~class_Orderings_Olinorder(_u8721) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8721), _u8722)) | ( _u8722 = c_Orderings_Obot__class_Obot(tc_fun(_u8721, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u8721), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8721), skolem238(_u8722, _u8721)), skolem239(_u8722, _u8721))), hAPP(hAPP(c_Set_Oinsert(_u8721), skolem238(_u8722, _u8721)), hAPP(hAPP(c_Set_Oinsert(_u8721), skolem239(_u8722, _u8721)), c_Orderings_Obot__class_Obot(tc_fun(_u8721, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u8721), c_Big__Operators_Olattice_OSup__fin(_u8721, c_Orderings_Oord__class_Omax(_u8721), _u8722)), _u8722)) )).
% 12.54/12.78 cnf(matrix-4919, plain, ( ~class_Orderings_Olinorder(_u8725) | ( hAPP(_u8726, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8725), skolem240(_u8727, _u8726, _u8725)), skolem241(_u8727, _u8726, _u8725))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8725), hAPP(_u8726, skolem240(_u8727, _u8726, _u8725))), hAPP(_u8726, skolem241(_u8727, _u8726, _u8725)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8725), _u8727)) | ( _u8727 = c_Orderings_Obot__class_Obot(tc_fun(_u8725, tc_HOL_Obool))) | ( hAPP(_u8726, c_Big__Operators_Olattice_OSup__fin(_u8725, c_Orderings_Oord__class_Omax(_u8725), _u8727)) = c_Big__Operators_Olattice_OSup__fin(_u8725, c_Orderings_Oord__class_Omax(_u8725), hAPP(c_Set_Oimage(_u8725, _u8725, _u8726), _u8727))) )).
% 12.54/12.78 cnf(matrix-4920, plain, ( ~class_Orderings_Olinorder(_u8730) | ( hAPP(_u8731, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8730), skolem242(_u8732, _u8731, _u8730)), skolem243(_u8732, _u8731, _u8730))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8730), hAPP(_u8731, skolem242(_u8732, _u8731, _u8730))), hAPP(_u8731, skolem243(_u8732, _u8731, _u8730)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8730), _u8732)) | ( _u8732 = c_Orderings_Obot__class_Obot(tc_fun(_u8730, tc_HOL_Obool))) | ( hAPP(_u8731, c_Big__Operators_Olinorder__class_OMax(_u8730, _u8732)) = c_Big__Operators_Olinorder__class_OMax(_u8730, hAPP(c_Set_Oimage(_u8730, _u8730, _u8731), _u8732))) )).
% 12.54/12.78 cnf(matrix-4921, plain, ( ~class_Orderings_Olinorder(_u8734) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8734), _u8735)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), hAPP(hAPP(c_Finite__Set_Ofold(_u8734, _u8734, c_Orderings_Oord__class_Omax(_u8734)), _u8737), _u8735)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8734), _u8736), _u8737))) | hBOOL(hAPP(hAPP(c_member(_u8734), skolem244(_u8737, _u8736, _u8735, _u8734)), _u8735)) )).
% 12.54/12.78 cnf(matrix-4922, plain, ( ~class_Orderings_Olinorder(_u8734) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8734), _u8735)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), hAPP(hAPP(c_Finite__Set_Ofold(_u8734, _u8734, c_Orderings_Oord__class_Omax(_u8734)), _u8737), _u8735)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8734), _u8736), _u8737))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), skolem244(_u8737, _u8736, _u8735, _u8734)), _u8736)) )).
% 12.54/12.78 cnf(matrix-4923, plain, ( ( c_Nitpick_Opair__box_Opair__box__size(_u8738, _u8739, _u8740, _u8741, c_Nitpick_Opair__box_OPairBox(_u8738, _u8739, _u8742, _u8743)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u8740, _u8742)), hAPP(_u8741, _u8743))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.54/12.78 cnf(matrix-4924, 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), _u8744)), 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))), _u8745))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8746))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8746)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8744), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8744), 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), _u8746), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u8745))))) )).
% 12.54/12.78 cnf(matrix-4925, 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), _u8747))) | ~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), _u8747)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8747)) = 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), _u8747)))) )).
% 12.54/12.78 cnf(matrix-4926, 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), _u8747))) | 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), _u8747)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8747)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8747)), 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), _u8747))))) )).
% 12.54/12.78 cnf(matrix-4927, plain, ( ( c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc, _u8748)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Nat_Onat_Onat__size(_u8748)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.54/12.78 cnf(matrix-4928, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8749, tc_fun(_u8750, tc_fun(_u8751, tc_HOL_Obool))), _u8752), _u8753), _u8754), _u8755)) | hBOOL(hAPP(hAPP(hAPP(_u8753, _u8756), _u8754), _u8755)) | ~hBOOL(hAPP(hAPP(c_member(_u8749), _u8756), _u8752)) )).
% 12.54/12.78 cnf(matrix-4929, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8757, tc_fun(_u8758, tc_fun(_u8759, tc_HOL_Obool))), _u8760), _u8761), _u8762), _u8763)) | ~hBOOL(hAPP(hAPP(c_member(_u8757), _u8764), _u8760)) | hBOOL(hAPP(hAPP(hAPP(_u8761, _u8764), _u8762), _u8763)) )).
% 12.54/12.78 cnf(matrix-4930, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8765, tc_fun(_u8766, tc_HOL_Obool)), _u8767), _u8768), _u8769)) | hBOOL(hAPP(hAPP(_u8768, _u8770), _u8769)) | ~hBOOL(hAPP(hAPP(c_member(_u8765), _u8770), _u8767)) )).
% 12.54/12.78 cnf(matrix-4931, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8771, tc_fun(_u8772, tc_HOL_Obool)), _u8773), _u8774), _u8775)) | ~hBOOL(hAPP(hAPP(c_member(_u8771), _u8776), _u8773)) | hBOOL(hAPP(hAPP(_u8774, _u8776), _u8775)) )).
% 12.54/12.78 cnf(matrix-4932, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8777), _u8778), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8779, tc_fun(_u8777, tc_HOL_Obool)), _u8780), _u8781))) | ~hBOOL(hAPP(hAPP(c_member(_u8779), _u8782), _u8780)) | hBOOL(hAPP(hAPP(c_member(_u8777), _u8778), hAPP(_u8781, _u8782))) )).
% 12.54/12.78 cnf(matrix-4933, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8783), _u8784), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8785, tc_fun(_u8783, tc_HOL_Obool)), _u8786), _u8787))) | hBOOL(hAPP(hAPP(c_member(_u8783), _u8784), hAPP(_u8787, _u8788))) | ~hBOOL(hAPP(hAPP(c_member(_u8785), _u8788), _u8786)) )).
% 12.54/12.78 cnf(matrix-4934, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8789), _u8790), _u8791)) | ~hBOOL(hAPP(hAPP(hAPP(_u8792, _u8790), _u8793), _u8794)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8789, tc_fun(_u8795, tc_fun(_u8796, tc_HOL_Obool))), _u8791), _u8792), _u8793), _u8794)) )).
% 12.54/12.78 cnf(matrix-4935, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8798), _u8797), _u8799)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8800), hAPP(_u8801, _u8797))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8800), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8798, tc_fun(_u8800, tc_HOL_Obool)), _u8799), _u8801))) )).
% 12.54/12.78 cnf(matrix-4936, plain, ( ~hBOOL(hAPP(_u8802, _u8803)) | hBOOL(hAPP(hAPP(c_member(_u8804), _u8803), hAPP(c_Set_OCollect(_u8804), _u8802))) )).
% 12.54/12.78 cnf(matrix-4937, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8805), hAPP(c_Set_OCollect(_u8805), hAPP(hAPP(c_COMBS(_u8805, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8805), c_fconj), _u8806)), _u8807)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8805), hAPP(c_Set_OCollect(_u8805), _u8806))) )).
% 12.54/12.78 cnf(matrix-4938, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8805), hAPP(c_Set_OCollect(_u8805), hAPP(hAPP(c_COMBS(_u8805, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8805), c_fconj), _u8806)), _u8807)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8805), hAPP(c_Set_OCollect(_u8805), _u8807))) )).
% 12.54/12.78 cnf(matrix-4939, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8808), _u8809), _u8810)) | ~hBOOL(hAPP(hAPP(c_member(_u8811), _u8812), hAPP(_u8813, _u8809))) | hBOOL(hAPP(hAPP(c_member(_u8811), _u8812), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8808, tc_fun(_u8811, tc_HOL_Obool)), _u8810), _u8813))) )).
% 12.54/12.78 cnf(matrix-4940, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8814), _u8815), _u8816)) | ~hBOOL(hAPP(hAPP(_u8817, _u8815), _u8818)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8814, tc_fun(_u8819, tc_HOL_Obool)), _u8816), _u8817), _u8818)) )).
% 12.54/12.78 cnf(matrix-4941, 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)), _u8820)))) )).
% 12.54/12.78 cnf(matrix-4942, 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)), _u8821)))) )).
% 12.54/12.78 cnf(matrix-4943, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8822) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8822), hAPP(c_Groups_Oabs__class_Oabs(_u8822), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8823, _u8822), _u8824), _u8825))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8823, _u8822), hAPP(hAPP(c_COMBB(_u8822, _u8822, _u8823), c_Groups_Oabs__class_Oabs(_u8822)), _u8824)), _u8825))) )).
% 12.54/12.78 cnf(matrix-4944, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8826) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8826), c_Groups_Ozero__class_Ozero(_u8826)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8827, _u8826), hAPP(hAPP(c_COMBB(_u8826, _u8826, _u8827), c_Groups_Oabs__class_Oabs(_u8826)), _u8828)), _u8829))) )).
% 12.54/12.78 cnf(matrix-4945, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8830), _u8831)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u8830, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_fun(_u8830, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u8830, tc_HOL_Obool), tc_fun(_u8830, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u8830, tc_HOL_Obool))), _u8831)))) )).
% 12.54/12.78 cnf(matrix-4946, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u8832), _u8833), _u8834) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8832, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u8832), hAPP(hAPP(c_COMBC(_u8832, _u8832, tc_HOL_Obool), c_fequal), _u8833))), _u8834)) )).
% 12.54/12.78 cnf(matrix-4947, plain, ( ( _u8840 != c_Orderings_Obot__class_Obot(tc_fun(_u8842, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8844, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8842, tc_fun(_u8844, tc_HOL_Obool)), _u8840), _u8846)), _u8848) = _u8848) )).
% 12.54/12.78 cnf(matrix-4948, plain, ( ( _u8841 = c_Orderings_Obot__class_Obot(tc_fun(_u8843, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8845, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8843, tc_fun(_u8845, tc_HOL_Obool)), _u8841), _u8847)), _u8849) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8843, tc_fun(_u8845, tc_HOL_Obool)), _u8841), hAPP(hAPP(c_COMBC(_u8843, tc_fun(_u8845, tc_HOL_Obool), tc_fun(_u8845, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8845, tc_HOL_Obool), tc_fun(tc_fun(_u8845, tc_HOL_Obool), tc_fun(_u8845, tc_HOL_Obool)), _u8843), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8845, tc_HOL_Obool))), _u8847)), _u8849))) )).
% 12.54/12.78 cnf(matrix-4949, plain, ( ( _u8855 != c_Orderings_Obot__class_Obot(tc_fun(_u8857, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8859, tc_HOL_Obool)), _u8861), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8857, tc_fun(_u8859, tc_HOL_Obool)), _u8855), _u8863)) = _u8861) )).
% 12.54/12.78 cnf(matrix-4950, plain, ( ( _u8856 = c_Orderings_Obot__class_Obot(tc_fun(_u8858, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8860, tc_HOL_Obool)), _u8862), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8858, tc_fun(_u8860, tc_HOL_Obool)), _u8856), _u8864)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8858, tc_fun(_u8860, tc_HOL_Obool)), _u8856), hAPP(hAPP(c_COMBB(tc_fun(_u8860, tc_HOL_Obool), tc_fun(_u8860, tc_HOL_Obool), _u8858), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8860, tc_HOL_Obool)), _u8862)), _u8864))) )).
% 12.54/12.78 cnf(matrix-4951, plain, ( ( _u8870 != c_Orderings_Obot__class_Obot(tc_fun(_u8872, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8872, tc_fun(_u8874, tc_HOL_Obool)), _u8870), hAPP(hAPP(c_COMBC(_u8872, tc_fun(_u8874, tc_HOL_Obool), tc_fun(_u8874, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8874, tc_HOL_Obool), tc_fun(tc_fun(_u8874, tc_HOL_Obool), tc_fun(_u8874, tc_HOL_Obool)), _u8872), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8874, tc_HOL_Obool))), _u8876)), _u8878)) = c_Orderings_Obot__class_Obot(tc_fun(_u8874, tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-4952, plain, ( ( _u8871 = c_Orderings_Obot__class_Obot(tc_fun(_u8873, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8873, tc_fun(_u8875, tc_HOL_Obool)), _u8871), hAPP(hAPP(c_COMBC(_u8873, tc_fun(_u8875, tc_HOL_Obool), tc_fun(_u8875, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8875, tc_HOL_Obool), tc_fun(tc_fun(_u8875, tc_HOL_Obool), tc_fun(_u8875, tc_HOL_Obool)), _u8873), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8875, tc_HOL_Obool))), _u8877)), _u8879)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8875, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8873, tc_fun(_u8875, tc_HOL_Obool)), _u8871), _u8877)), _u8879)) )).
% 12.54/12.78 cnf(matrix-4953, plain, ( ( _u8885 != c_Orderings_Obot__class_Obot(tc_fun(_u8887, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8887, tc_fun(_u8889, tc_HOL_Obool)), _u8885), hAPP(hAPP(c_COMBB(tc_fun(_u8889, tc_HOL_Obool), tc_fun(_u8889, tc_HOL_Obool), _u8887), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8889, tc_HOL_Obool)), _u8891)), _u8893)) = c_Orderings_Obot__class_Obot(tc_fun(_u8889, tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-4954, plain, ( ( _u8886 = c_Orderings_Obot__class_Obot(tc_fun(_u8888, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8888, tc_fun(_u8890, tc_HOL_Obool)), _u8886), hAPP(hAPP(c_COMBB(tc_fun(_u8890, tc_HOL_Obool), tc_fun(_u8890, tc_HOL_Obool), _u8888), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8890, tc_HOL_Obool)), _u8892)), _u8894)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8890, tc_HOL_Obool)), _u8892), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8888, tc_fun(_u8890, tc_HOL_Obool)), _u8886), _u8894))) )).
% 12.54/12.78 cnf(matrix-4955, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8895, tc_fun(_u8896, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8895), _u8897), _u8898)), _u8899) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8896, tc_HOL_Obool)), hAPP(_u8899, _u8897)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8895, tc_fun(_u8896, tc_HOL_Obool)), _u8898), _u8899))) )).
% 12.54/12.78 cnf(matrix-4956, plain, ( ( hAPP(c_Set_OCollect(_u8900), hAPP(hAPP(c_COMBS(_u8900, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8900), c_fimplies), _u8901)), _u8902)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8900, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8900, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u8900), _u8901))), hAPP(c_Set_OCollect(_u8900), _u8902))) )).
% 12.54/12.78 cnf(matrix-4957, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8907, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u8907, tc_fun(_u8907, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8907)), _u8909)), hAPP(hAPP(c_COMBC(_u8907, tc_fun(_u8907, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8907)), _u8911)), _u8913)) | hBOOL(hAPP(hAPP(c_member(_u8907), _u8913), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8907, tc_HOL_Obool)), _u8909), _u8911))) )).
% 12.54/12.78 cnf(matrix-4958, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8908), _u8914), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8908, tc_HOL_Obool)), _u8910), _u8912))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8908, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u8908, tc_fun(_u8908, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8908)), _u8910)), hAPP(hAPP(c_COMBC(_u8908, tc_fun(_u8908, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8908)), _u8912)), _u8914)) )).
% 12.54/12.78 cnf(matrix-4959, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8921, tc_fun(_u8923, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u8921, tc_fun(tc_prod(_u8921, _u8923), tc_HOL_Obool), tc_fun(_u8923, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8923, tc_fun(tc_fun(tc_prod(_u8921, _u8923), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8921, _u8923), tc_HOL_Obool), tc_fun(_u8923, tc_HOL_Obool)), _u8921), c_COMBC(_u8923, tc_fun(tc_prod(_u8921, _u8923), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8923, tc_prod(_u8921, _u8923)), tc_fun(_u8923, tc_fun(tc_fun(tc_prod(_u8921, _u8923), tc_HOL_Obool), tc_HOL_Obool)), _u8921), hAPP(c_COMBB(tc_prod(_u8921, _u8923), tc_fun(tc_fun(tc_prod(_u8921, _u8923), tc_HOL_Obool), tc_HOL_Obool), _u8923), c_member(tc_prod(_u8921, _u8923)))), c_Product__Type_OPair(_u8921, _u8923)))), _u8925)), hAPP(hAPP(c_COMBC(_u8921, tc_fun(tc_prod(_u8921, _u8923), tc_HOL_Obool), tc_fun(_u8923, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8923, tc_fun(tc_fun(tc_prod(_u8921, _u8923), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8921, _u8923), tc_HOL_Obool), tc_fun(_u8923, tc_HOL_Obool)), _u8921), c_COMBC(_u8923, tc_fun(tc_prod(_u8921, _u8923), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8923, tc_prod(_u8921, _u8923)), tc_fun(_u8923, tc_fun(tc_fun(tc_prod(_u8921, _u8923), tc_HOL_Obool), tc_HOL_Obool)), _u8921), hAPP(c_COMBB(tc_prod(_u8921, _u8923), tc_fun(tc_fun(tc_prod(_u8921, _u8923), tc_HOL_Obool), tc_HOL_Obool), _u8923), c_member(tc_prod(_u8921, _u8923)))), c_Product__Type_OPair(_u8921, _u8923)))), _u8927)), _u8929), _u8931)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8921, _u8923)), hAPP(hAPP(c_Product__Type_OPair(_u8921, _u8923), _u8929), _u8931)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u8921, _u8923), tc_HOL_Obool)), _u8925), _u8927))) )).
% 12.54/12.78 cnf(matrix-4960, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8922, _u8924)), hAPP(hAPP(c_Product__Type_OPair(_u8922, _u8924), _u8930), _u8932)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u8922, _u8924), tc_HOL_Obool)), _u8926), _u8928))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8922, tc_fun(_u8924, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u8922, tc_fun(tc_prod(_u8922, _u8924), tc_HOL_Obool), tc_fun(_u8924, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8924, tc_fun(tc_fun(tc_prod(_u8922, _u8924), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8922, _u8924), tc_HOL_Obool), tc_fun(_u8924, tc_HOL_Obool)), _u8922), c_COMBC(_u8924, tc_fun(tc_prod(_u8922, _u8924), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8924, tc_prod(_u8922, _u8924)), tc_fun(_u8924, tc_fun(tc_fun(tc_prod(_u8922, _u8924), tc_HOL_Obool), tc_HOL_Obool)), _u8922), hAPP(c_COMBB(tc_prod(_u8922, _u8924), tc_fun(tc_fun(tc_prod(_u8922, _u8924), tc_HOL_Obool), tc_HOL_Obool), _u8924), c_member(tc_prod(_u8922, _u8924)))), c_Product__Type_OPair(_u8922, _u8924)))), _u8926)), hAPP(hAPP(c_COMBC(_u8922, tc_fun(tc_prod(_u8922, _u8924), tc_HOL_Obool), tc_fun(_u8924, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8924, tc_fun(tc_fun(tc_prod(_u8922, _u8924), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u8922, _u8924), tc_HOL_Obool), tc_fun(_u8924, tc_HOL_Obool)), _u8922), c_COMBC(_u8924, tc_fun(tc_prod(_u8922, _u8924), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8924, tc_prod(_u8922, _u8924)), tc_fun(_u8924, tc_fun(tc_fun(tc_prod(_u8922, _u8924), tc_HOL_Obool), tc_HOL_Obool)), _u8922), hAPP(c_COMBB(tc_prod(_u8922, _u8924), tc_fun(tc_fun(tc_prod(_u8922, _u8924), tc_HOL_Obool), tc_HOL_Obool), _u8924), c_member(tc_prod(_u8922, _u8924)))), c_Product__Type_OPair(_u8922, _u8924)))), _u8928)), _u8930), _u8932)) )).
% 12.54/12.78 cnf(matrix-4961, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8933, tc_fun(_u8934, tc_HOL_Obool)), _u8935), hAPP(hAPP(c_COMBS(_u8933, tc_fun(_u8934, tc_HOL_Obool), tc_fun(_u8934, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8934, tc_HOL_Obool), tc_fun(tc_fun(_u8934, tc_HOL_Obool), tc_fun(_u8934, tc_HOL_Obool)), _u8933), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8934, tc_HOL_Obool))), _u8936)), _u8937)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8934, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8933, tc_fun(_u8934, tc_HOL_Obool)), _u8935), _u8936)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8933, tc_fun(_u8934, tc_HOL_Obool)), _u8935), _u8937))) )).
% 12.54/12.78 cnf(matrix-4962, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8938, tc_fun(_u8939, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8938, tc_HOL_Obool)), _u8940), _u8941)), _u8942) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8939, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8938, tc_fun(_u8939, tc_HOL_Obool)), _u8940), _u8942)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8938, tc_fun(_u8939, tc_HOL_Obool)), _u8941), _u8942))) )).
% 12.54/12.78 cnf(matrix-4963, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8943, tc_fun(_u8944, tc_HOL_Obool)), _u8945), hAPP(hAPP(c_COMBB(tc_fun(_u8944, tc_HOL_Obool), tc_fun(_u8944, tc_HOL_Obool), _u8943), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8944, tc_HOL_Obool)), _u8946)), _u8947)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8944, tc_HOL_Obool)), _u8946), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8943, tc_fun(_u8944, tc_HOL_Obool)), _u8945), _u8947))) )).
% 12.54/12.78 cnf(matrix-4964, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8948, tc_fun(_u8949, tc_HOL_Obool)), _u8950), hAPP(hAPP(c_COMBC(_u8948, tc_fun(_u8949, tc_HOL_Obool), tc_fun(_u8949, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8949, tc_HOL_Obool), tc_fun(tc_fun(_u8949, tc_HOL_Obool), tc_fun(_u8949, tc_HOL_Obool)), _u8948), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8949, tc_HOL_Obool))), _u8951)), _u8952)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8949, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8948, tc_fun(_u8949, tc_HOL_Obool)), _u8950), _u8951)), _u8952)) )).
% 12.54/12.78 cnf(matrix-4965, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8953, tc_HOL_Obool)), _u8954), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8955, tc_fun(_u8953, tc_HOL_Obool)), _u8956), _u8957)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8955, tc_fun(_u8953, tc_HOL_Obool)), _u8956), hAPP(hAPP(c_COMBB(tc_fun(_u8953, tc_HOL_Obool), tc_fun(_u8953, tc_HOL_Obool), _u8955), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8953, tc_HOL_Obool)), _u8954)), _u8957))) )).
% 12.54/12.78 cnf(matrix-4966, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8958, tc_HOL_Obool)), _u8959), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8960, tc_fun(_u8958, tc_HOL_Obool)), _u8961), _u8962)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8960, tc_fun(_u8958, tc_HOL_Obool)), _u8961), hAPP(hAPP(c_COMBB(tc_fun(_u8958, tc_HOL_Obool), tc_fun(_u8958, tc_HOL_Obool), _u8960), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8958, tc_HOL_Obool)), _u8959)), _u8962))) )).
% 12.54/12.78 cnf(matrix-4967, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8963, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8964, tc_fun(_u8963, tc_HOL_Obool)), _u8965), _u8966)), _u8967) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8964, tc_fun(_u8963, tc_HOL_Obool)), _u8965), hAPP(hAPP(c_COMBC(_u8964, tc_fun(_u8963, tc_HOL_Obool), tc_fun(_u8963, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8963, tc_HOL_Obool), tc_fun(tc_fun(_u8963, tc_HOL_Obool), tc_fun(_u8963, tc_HOL_Obool)), _u8964), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8963, tc_HOL_Obool))), _u8966)), _u8967))) )).
% 12.54/12.78 cnf(matrix-4968, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8968, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8969, tc_fun(_u8968, tc_HOL_Obool)), _u8970), _u8971)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8972, tc_fun(_u8968, tc_HOL_Obool)), _u8973), _u8974)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8969, tc_fun(_u8968, tc_HOL_Obool)), _u8970), hAPP(hAPP(c_COMBB(tc_fun(_u8972, tc_fun(_u8968, tc_HOL_Obool)), tc_fun(_u8968, tc_HOL_Obool), _u8969), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8972, tc_fun(_u8968, tc_HOL_Obool)), _u8973)), hAPP(hAPP(c_COMBC(_u8969, tc_fun(_u8972, tc_fun(_u8968, tc_HOL_Obool)), tc_fun(_u8972, tc_fun(_u8968, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8968, tc_HOL_Obool), tc_fun(_u8968, tc_HOL_Obool)), tc_fun(tc_fun(_u8972, tc_fun(_u8968, tc_HOL_Obool)), tc_fun(_u8972, tc_fun(_u8968, tc_HOL_Obool))), _u8969), c_COMBB(tc_fun(_u8968, tc_HOL_Obool), tc_fun(_u8968, tc_HOL_Obool), _u8972)), hAPP(hAPP(c_COMBB(tc_fun(_u8968, tc_HOL_Obool), tc_fun(tc_fun(_u8968, tc_HOL_Obool), tc_fun(_u8968, tc_HOL_Obool)), _u8969), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8968, tc_HOL_Obool))), _u8971))), _u8974)))) )).
% 12.54/12.78 cnf(matrix-4969, plain, ( ( hAPP(c_Set_OCollect(_u8975), hAPP(hAPP(c_COMBS(_u8975, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8975), c_fdisj), _u8976)), _u8977)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8975, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u8975), _u8976)), hAPP(c_Set_OCollect(_u8975), _u8977))) )).
% 12.54/12.78 cnf(matrix-4970, plain, ( ~class_Lattices_Olattice(_u8978) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8979, _u8978)), _u8980), _u8981), _u8982) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8978), hAPP(_u8980, _u8982)), hAPP(_u8981, _u8982))) )).
% 12.54/12.78 cnf(matrix-4971, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8983, tc_HOL_Obool)), _u8984), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u8983, tc_HOL_Obool), _u8985)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u8983, tc_HOL_Obool), tc_fun(_u8983, tc_HOL_Obool)), _u8985), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8983, tc_HOL_Obool)), _u8984))) )).
% 12.54/12.78 cnf(matrix-4972, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8986), _u8987), _u8988)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8989, tc_HOL_Obool)), hAPP(_u8990, _u8987)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8986, tc_fun(_u8989, tc_HOL_Obool)), _u8988), _u8990)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u8986, tc_fun(_u8989, tc_HOL_Obool)), _u8988), _u8990)) )).
% 12.54/12.78 cnf(matrix-4973, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8991, tc_HOL_Obool)), _u8992), _u8993) = hAPP(c_Set_OCollect(_u8991), hAPP(hAPP(c_COMBS(_u8991, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8991), c_fdisj), hAPP(hAPP(c_COMBC(_u8991, tc_fun(_u8991, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8991)), _u8992))), hAPP(hAPP(c_COMBC(_u8991, tc_fun(_u8991, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8991)), _u8993)))) )).
% 12.54/12.78 cnf(matrix-4974, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8994, tc_fun(_u8995, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8994, tc_HOL_Obool)), _u8996), _u8997)), _u8998) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8995, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8994, tc_fun(_u8995, tc_HOL_Obool)), _u8996), _u8998)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8994, tc_fun(_u8995, tc_HOL_Obool)), _u8997), _u8998))) )).
% 12.54/12.78 cnf(matrix-4975, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u8999, tc_HOL_Obool), hAPP(c_Set_Oimage(_u9000, tc_fun(_u8999, tc_HOL_Obool), _u9001), _u9002)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9000, tc_fun(_u8999, tc_HOL_Obool)), _u9002), _u9001)) )).
% 12.54/12.78 cnf(matrix-4976, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9003, tc_fun(_u9004, tc_HOL_Obool)), _u9005), _u9006) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9004, tc_HOL_Obool), hAPP(c_Set_Oimage(_u9003, tc_fun(_u9004, tc_HOL_Obool), _u9006), _u9005))) )).
% 12.54/12.78 cnf(matrix-4977, plain, ( ( _u9012 != c_Orderings_Obot__class_Obot(tc_fun(_u9014, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9014, tc_fun(_u9016, tc_HOL_Obool)), _u9012), hAPP(hAPP(c_COMBC(_u9014, tc_fun(_u9016, tc_HOL_Obool), tc_fun(_u9016, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9016, tc_HOL_Obool), tc_fun(tc_fun(_u9016, tc_HOL_Obool), tc_fun(_u9016, tc_HOL_Obool)), _u9014), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9016, tc_HOL_Obool))), _u9018)), _u9020)) = c_Orderings_Otop__class_Otop(tc_fun(_u9016, tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-4978, plain, ( ( _u9013 = c_Orderings_Obot__class_Obot(tc_fun(_u9015, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9015, tc_fun(_u9017, tc_HOL_Obool)), _u9013), hAPP(hAPP(c_COMBC(_u9015, tc_fun(_u9017, tc_HOL_Obool), tc_fun(_u9017, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9017, tc_HOL_Obool), tc_fun(tc_fun(_u9017, tc_HOL_Obool), tc_fun(_u9017, tc_HOL_Obool)), _u9015), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9017, tc_HOL_Obool))), _u9019)), _u9021)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9017, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9015, tc_fun(_u9017, tc_HOL_Obool)), _u9013), _u9019)), _u9021)) )).
% 12.54/12.78 cnf(matrix-4979, plain, ( ( _u9027 != c_Orderings_Obot__class_Obot(tc_fun(_u9029, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9029, tc_fun(_u9031, tc_HOL_Obool)), _u9027), hAPP(hAPP(c_COMBB(tc_fun(_u9031, tc_HOL_Obool), tc_fun(_u9031, tc_HOL_Obool), _u9029), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9031, tc_HOL_Obool)), _u9033)), _u9035)) = c_Orderings_Otop__class_Otop(tc_fun(_u9031, tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-4980, plain, ( ( _u9028 = c_Orderings_Obot__class_Obot(tc_fun(_u9030, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9030, tc_fun(_u9032, tc_HOL_Obool)), _u9028), hAPP(hAPP(c_COMBB(tc_fun(_u9032, tc_HOL_Obool), tc_fun(_u9032, tc_HOL_Obool), _u9030), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9032, tc_HOL_Obool)), _u9034)), _u9036)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9032, tc_HOL_Obool)), _u9034), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9030, tc_fun(_u9032, tc_HOL_Obool)), _u9028), _u9036))) )).
% 12.54/12.78 cnf(matrix-4981, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9041, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u9041, tc_fun(_u9041, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9041)), _u9043)), hAPP(hAPP(c_COMBC(_u9041, tc_fun(_u9041, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9041)), _u9045)), _u9047)) | hBOOL(hAPP(hAPP(c_member(_u9041), _u9047), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9041, tc_HOL_Obool)), _u9043), _u9045))) )).
% 12.54/12.78 cnf(matrix-4982, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9042), _u9048), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9042, tc_HOL_Obool)), _u9044), _u9046))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9042, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u9042, tc_fun(_u9042, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9042)), _u9044)), hAPP(hAPP(c_COMBC(_u9042, tc_fun(_u9042, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9042)), _u9046)), _u9048)) )).
% 12.54/12.78 cnf(matrix-4983, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9049), _u9050), _u9051)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9052, tc_HOL_Obool)), hAPP(_u9053, _u9050)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9049, tc_fun(_u9052, tc_HOL_Obool)), _u9051), _u9053)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9049, tc_fun(_u9052, tc_HOL_Obool)), _u9051), _u9053)) )).
% 12.54/12.78 cnf(matrix-4984, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9060, tc_fun(_u9062, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u9060, tc_fun(tc_prod(_u9060, _u9062), tc_HOL_Obool), tc_fun(_u9062, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9062, tc_fun(tc_fun(tc_prod(_u9060, _u9062), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9060, _u9062), tc_HOL_Obool), tc_fun(_u9062, tc_HOL_Obool)), _u9060), c_COMBC(_u9062, tc_fun(tc_prod(_u9060, _u9062), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9062, tc_prod(_u9060, _u9062)), tc_fun(_u9062, tc_fun(tc_fun(tc_prod(_u9060, _u9062), tc_HOL_Obool), tc_HOL_Obool)), _u9060), hAPP(c_COMBB(tc_prod(_u9060, _u9062), tc_fun(tc_fun(tc_prod(_u9060, _u9062), tc_HOL_Obool), tc_HOL_Obool), _u9062), c_member(tc_prod(_u9060, _u9062)))), c_Product__Type_OPair(_u9060, _u9062)))), _u9064)), hAPP(hAPP(c_COMBC(_u9060, tc_fun(tc_prod(_u9060, _u9062), tc_HOL_Obool), tc_fun(_u9062, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9062, tc_fun(tc_fun(tc_prod(_u9060, _u9062), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9060, _u9062), tc_HOL_Obool), tc_fun(_u9062, tc_HOL_Obool)), _u9060), c_COMBC(_u9062, tc_fun(tc_prod(_u9060, _u9062), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9062, tc_prod(_u9060, _u9062)), tc_fun(_u9062, tc_fun(tc_fun(tc_prod(_u9060, _u9062), tc_HOL_Obool), tc_HOL_Obool)), _u9060), hAPP(c_COMBB(tc_prod(_u9060, _u9062), tc_fun(tc_fun(tc_prod(_u9060, _u9062), tc_HOL_Obool), tc_HOL_Obool), _u9062), c_member(tc_prod(_u9060, _u9062)))), c_Product__Type_OPair(_u9060, _u9062)))), _u9066)), _u9068), _u9070)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u9060, _u9062)), hAPP(hAPP(c_Product__Type_OPair(_u9060, _u9062), _u9068), _u9070)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u9060, _u9062), tc_HOL_Obool)), _u9064), _u9066))) )).
% 12.54/12.78 cnf(matrix-4985, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9061, _u9063)), hAPP(hAPP(c_Product__Type_OPair(_u9061, _u9063), _u9069), _u9071)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u9061, _u9063), tc_HOL_Obool)), _u9065), _u9067))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9061, tc_fun(_u9063, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u9061, tc_fun(tc_prod(_u9061, _u9063), tc_HOL_Obool), tc_fun(_u9063, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9063, tc_fun(tc_fun(tc_prod(_u9061, _u9063), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9061, _u9063), tc_HOL_Obool), tc_fun(_u9063, tc_HOL_Obool)), _u9061), c_COMBC(_u9063, tc_fun(tc_prod(_u9061, _u9063), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9063, tc_prod(_u9061, _u9063)), tc_fun(_u9063, tc_fun(tc_fun(tc_prod(_u9061, _u9063), tc_HOL_Obool), tc_HOL_Obool)), _u9061), hAPP(c_COMBB(tc_prod(_u9061, _u9063), tc_fun(tc_fun(tc_prod(_u9061, _u9063), tc_HOL_Obool), tc_HOL_Obool), _u9063), c_member(tc_prod(_u9061, _u9063)))), c_Product__Type_OPair(_u9061, _u9063)))), _u9065)), hAPP(hAPP(c_COMBC(_u9061, tc_fun(tc_prod(_u9061, _u9063), tc_HOL_Obool), tc_fun(_u9063, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9063, tc_fun(tc_fun(tc_prod(_u9061, _u9063), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9061, _u9063), tc_HOL_Obool), tc_fun(_u9063, tc_HOL_Obool)), _u9061), c_COMBC(_u9063, tc_fun(tc_prod(_u9061, _u9063), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9063, tc_prod(_u9061, _u9063)), tc_fun(_u9063, tc_fun(tc_fun(tc_prod(_u9061, _u9063), tc_HOL_Obool), tc_HOL_Obool)), _u9061), hAPP(c_COMBB(tc_prod(_u9061, _u9063), tc_fun(tc_fun(tc_prod(_u9061, _u9063), tc_HOL_Obool), tc_HOL_Obool), _u9063), c_member(tc_prod(_u9061, _u9063)))), c_Product__Type_OPair(_u9061, _u9063)))), _u9067)), _u9069), _u9071)) )).
% 12.54/12.78 cnf(matrix-4986, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9072, tc_fun(_u9073, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9072), _u9074), _u9075)), _u9076) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9073, tc_HOL_Obool)), hAPP(_u9076, _u9074)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9072, tc_fun(_u9073, tc_HOL_Obool)), _u9075), _u9076))) )).
% 12.54/12.78 cnf(matrix-4987, plain, ( ( _u9082 != c_Orderings_Obot__class_Obot(tc_fun(_u9084, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9086, tc_HOL_Obool)), _u9088), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9084, tc_fun(_u9086, tc_HOL_Obool)), _u9082), _u9090)) = _u9088) )).
% 12.54/12.78 cnf(matrix-4988, plain, ( ( _u9083 = c_Orderings_Obot__class_Obot(tc_fun(_u9085, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9087, tc_HOL_Obool)), _u9089), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9085, tc_fun(_u9087, tc_HOL_Obool)), _u9083), _u9091)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9085, tc_fun(_u9087, tc_HOL_Obool)), _u9083), hAPP(hAPP(c_COMBB(tc_fun(_u9087, tc_HOL_Obool), tc_fun(_u9087, tc_HOL_Obool), _u9085), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9087, tc_HOL_Obool)), _u9089)), _u9091))) )).
% 12.54/12.78 cnf(matrix-4989, plain, ( ( _u9097 != c_Orderings_Obot__class_Obot(tc_fun(_u9099, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9101, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9099, tc_fun(_u9101, tc_HOL_Obool)), _u9097), _u9103)), _u9105) = _u9105) )).
% 12.54/12.78 cnf(matrix-4990, plain, ( ( _u9098 = c_Orderings_Obot__class_Obot(tc_fun(_u9100, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9102, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9100, tc_fun(_u9102, tc_HOL_Obool)), _u9098), _u9104)), _u9106) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9100, tc_fun(_u9102, tc_HOL_Obool)), _u9098), hAPP(hAPP(c_COMBC(_u9100, tc_fun(_u9102, tc_HOL_Obool), tc_fun(_u9102, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9102, tc_HOL_Obool), tc_fun(tc_fun(_u9102, tc_HOL_Obool), tc_fun(_u9102, tc_HOL_Obool)), _u9100), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9102, tc_HOL_Obool))), _u9104)), _u9106))) )).
% 12.54/12.78 cnf(matrix-4991, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9107, tc_HOL_Obool)), _u9108), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9107, tc_HOL_Obool), _u9109)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9107, tc_HOL_Obool), tc_fun(_u9107, tc_HOL_Obool)), _u9109), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9107, tc_HOL_Obool)), _u9108))) )).
% 12.54/12.78 cnf(matrix-4992, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9110, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9110, tc_HOL_Obool), _u9111)), _u9112) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9110, tc_HOL_Obool), tc_fun(_u9110, tc_HOL_Obool)), _u9111), hAPP(hAPP(c_COMBC(tc_fun(_u9110, tc_HOL_Obool), tc_fun(_u9110, tc_HOL_Obool), tc_fun(_u9110, tc_HOL_Obool)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9110, tc_HOL_Obool))), _u9112))) )).
% 12.54/12.78 cnf(matrix-4993, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9113, tc_fun(_u9114, tc_HOL_Obool)), _u9115), hAPP(hAPP(c_COMBB(tc_fun(_u9114, tc_HOL_Obool), tc_fun(_u9114, tc_HOL_Obool), _u9113), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9114, tc_HOL_Obool)), _u9116)), _u9117)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9114, tc_HOL_Obool)), _u9116), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9113, tc_fun(_u9114, tc_HOL_Obool)), _u9115), _u9117))) )).
% 12.54/12.78 cnf(matrix-4994, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9118, tc_fun(_u9119, tc_HOL_Obool)), _u9120), hAPP(hAPP(c_COMBC(_u9118, tc_fun(_u9119, tc_HOL_Obool), tc_fun(_u9119, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9119, tc_HOL_Obool), tc_fun(tc_fun(_u9119, tc_HOL_Obool), tc_fun(_u9119, tc_HOL_Obool)), _u9118), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9119, tc_HOL_Obool))), _u9121)), _u9122)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9119, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9118, tc_fun(_u9119, tc_HOL_Obool)), _u9120), _u9121)), _u9122)) )).
% 12.54/12.78 cnf(matrix-4995, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9123, tc_HOL_Obool)), _u9124), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9125, tc_fun(_u9123, tc_HOL_Obool)), _u9126), _u9127)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9125, tc_fun(_u9123, tc_HOL_Obool)), _u9126), hAPP(hAPP(c_COMBB(tc_fun(_u9123, tc_HOL_Obool), tc_fun(_u9123, tc_HOL_Obool), _u9125), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9123, tc_HOL_Obool)), _u9124)), _u9127))) )).
% 12.54/12.78 cnf(matrix-4996, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9128, tc_HOL_Obool)), _u9129), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9130, tc_fun(_u9128, tc_HOL_Obool)), _u9131), _u9132)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9130, tc_fun(_u9128, tc_HOL_Obool)), _u9131), hAPP(hAPP(c_COMBB(tc_fun(_u9128, tc_HOL_Obool), tc_fun(_u9128, tc_HOL_Obool), _u9130), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9128, tc_HOL_Obool)), _u9129)), _u9132))) )).
% 12.54/12.78 cnf(matrix-4997, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9133, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9134, tc_fun(_u9133, tc_HOL_Obool)), _u9135), _u9136)), _u9137) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9134, tc_fun(_u9133, tc_HOL_Obool)), _u9135), hAPP(hAPP(c_COMBC(_u9134, tc_fun(_u9133, tc_HOL_Obool), tc_fun(_u9133, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9133, tc_HOL_Obool), tc_fun(tc_fun(_u9133, tc_HOL_Obool), tc_fun(_u9133, tc_HOL_Obool)), _u9134), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9133, tc_HOL_Obool))), _u9136)), _u9137))) )).
% 12.54/12.78 cnf(matrix-4998, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9138, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9139, tc_fun(_u9138, tc_HOL_Obool)), _u9140), _u9141)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9142, tc_fun(_u9138, tc_HOL_Obool)), _u9143), _u9144)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9139, tc_fun(_u9138, tc_HOL_Obool)), _u9140), hAPP(hAPP(c_COMBB(tc_fun(_u9142, tc_fun(_u9138, tc_HOL_Obool)), tc_fun(_u9138, tc_HOL_Obool), _u9139), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9142, tc_fun(_u9138, tc_HOL_Obool)), _u9143)), hAPP(hAPP(c_COMBC(_u9139, tc_fun(_u9142, tc_fun(_u9138, tc_HOL_Obool)), tc_fun(_u9142, tc_fun(_u9138, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9138, tc_HOL_Obool), tc_fun(_u9138, tc_HOL_Obool)), tc_fun(tc_fun(_u9142, tc_fun(_u9138, tc_HOL_Obool)), tc_fun(_u9142, tc_fun(_u9138, tc_HOL_Obool))), _u9139), c_COMBB(tc_fun(_u9138, tc_HOL_Obool), tc_fun(_u9138, tc_HOL_Obool), _u9142)), hAPP(hAPP(c_COMBB(tc_fun(_u9138, tc_HOL_Obool), tc_fun(tc_fun(_u9138, tc_HOL_Obool), tc_fun(_u9138, tc_HOL_Obool)), _u9139), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9138, tc_HOL_Obool))), _u9141))), _u9144)))) )).
% 12.54/12.78 cnf(matrix-4999, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9145, tc_fun(_u9146, tc_HOL_Obool)), _u9147), hAPP(hAPP(c_COMBS(_u9145, tc_fun(_u9146, tc_HOL_Obool), tc_fun(_u9146, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9146, tc_HOL_Obool), tc_fun(tc_fun(_u9146, tc_HOL_Obool), tc_fun(_u9146, tc_HOL_Obool)), _u9145), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9146, tc_HOL_Obool))), _u9148)), _u9149)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9146, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9145, tc_fun(_u9146, tc_HOL_Obool)), _u9147), _u9148)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9145, tc_fun(_u9146, tc_HOL_Obool)), _u9147), _u9149))) )).
% 12.54/12.78 cnf(matrix-5000, plain, ( ( hAPP(c_Set_OCollect(_u9150), hAPP(hAPP(c_COMBS(_u9150, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9150), c_fconj), _u9151)), _u9152)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9150, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u9150), _u9151)), hAPP(c_Set_OCollect(_u9150), _u9152))) )).
% 12.54/12.78 cnf(matrix-5001, plain, ( ~class_Lattices_Olattice(_u9153) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9154, _u9153)), _u9155), _u9156), _u9157) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9153), hAPP(_u9155, _u9157)), hAPP(_u9156, _u9157))) )).
% 12.54/12.78 cnf(matrix-5002, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9162), _u9164), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9162, tc_HOL_Obool)), _u9166), hAPP(c_Set_OCollect(_u9162), _u9168)))) | hBOOL(hAPP(hAPP(c_member(_u9162), _u9164), _u9166)) )).
% 12.54/12.78 cnf(matrix-5003, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9162), _u9164), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9162, tc_HOL_Obool)), _u9166), hAPP(c_Set_OCollect(_u9162), _u9168)))) | hBOOL(hAPP(_u9168, _u9164)) )).
% 12.54/12.78 cnf(matrix-5004, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9163), _u9165), _u9167)) | ~hBOOL(hAPP(_u9169, _u9165)) | hBOOL(hAPP(hAPP(c_member(_u9163), _u9165), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9163, tc_HOL_Obool)), _u9167), hAPP(c_Set_OCollect(_u9163), _u9169)))) )).
% 12.54/12.78 cnf(matrix-5005, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9170, tc_HOL_Obool)), _u9171), _u9172) = hAPP(c_Set_OCollect(_u9170), hAPP(hAPP(c_COMBS(_u9170, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9170), c_fconj), hAPP(hAPP(c_COMBC(_u9170, tc_fun(_u9170, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9170)), _u9171))), hAPP(hAPP(c_COMBC(_u9170, tc_fun(_u9170, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9170)), _u9172)))) )).
% 12.54/12.78 cnf(matrix-5006, plain, ( ~class_Groups_Ocomm__monoid__add(_u9173) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9173), _u9174), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9175), _u9176)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9177), _u9176))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9173), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u9173, tc_Nat_Onat), _u9174), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u9176))), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u9175), _u9177))) )).
% 12.54/12.78 cnf(matrix-5007, plain, ( ( hAPP(c_Finite__Set_Ocard(_u9178), _u9179) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9178, tc_Nat_Onat), hAPP(c_COMBK(tc_Nat_Onat, _u9178), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u9179)) )).
% 12.54/12.78 cnf(matrix-5008, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u9180, 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(_u9180, tc_HOL_Obool)), tc_fun(_u9180, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_fun(_u9180, tc_HOL_Obool)), tc_fun(_u9180, tc_HOL_Obool)), tc_Nat_Onat), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u9180, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), _u9181)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u9180, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u9181)) )).
% 12.54/12.78 cnf(matrix-5009, plain, ( ~class_Groups_Ocomm__monoid__add(_u9182) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9182), _u9183), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9184), hAPP(c_Nat_OSuc, _u9185))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9182), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u9182, tc_Nat_Onat), _u9183), c_Nat_OSuc)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u9184, _u9185))) )).
% 12.54/12.78 cnf(matrix-5010, plain, ( ~class_Groups_Ocomm__monoid__add(_u9186) | ~class_Groups_Ocomm__monoid__mult(_u9186) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u9186), _u9187), _u9188) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u9186), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u9186, tc_Int_Oint), _u9187), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9188))) )).
% 12.54/12.78 cnf(matrix-5011, plain, ( ~class_Groups_Ocomm__monoid__add(_u9189) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9189), _u9190), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9191), _u9192), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9193), _u9192))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9189), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u9189, tc_Nat_Onat), _u9190), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u9192))), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u9191, _u9193))) )).
% 12.54/12.78 cnf(matrix-5012, plain, ( ( c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-5013, plain, ( ( hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9194) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9194))) )).
% 12.54/12.78 cnf(matrix-5014, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u9195)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9195)), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_COMBI(tc_Nat_Onat)))) )).
% 12.54/12.78 cnf(matrix-5015, plain, ( ( _u9196 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u9197, _u9198), 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)), _u9199)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9197), _u9196)) )).
% 12.54/12.78 cnf(matrix-5016, 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), _u9200)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u9201))))) )).
% 12.54/12.78 cnf(matrix-5017, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9204) | ~class_Orderings_Olinorder(_u9204) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9204), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9205, _u9204), _u9206), _u9207)), _u9208)) | hBOOL(hAPP(hAPP(c_member(_u9205), skolem245(_u9208, _u9207, _u9206, _u9205, _u9204)), _u9206)) )).
% 12.54/12.78 cnf(matrix-5018, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9204) | ~class_Orderings_Olinorder(_u9204) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9204), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9205, _u9204), _u9206), _u9207)), _u9208)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9204), hAPP(_u9207, skolem245(_u9208, _u9207, _u9206, _u9205, _u9204))), _u9208)) )).
% 12.54/12.78 cnf(matrix-5019, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9204) | ~class_Orderings_Olinorder(_u9204) | ~hBOOL(hAPP(hAPP(c_member(_u9205), _u9203), _u9206)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9204), hAPP(_u9207, _u9203)), _u9208)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9204), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9205, _u9204), _u9206), _u9207)), _u9208)) )).
% 12.54/12.78 cnf(matrix-5020, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9211) | ~class_Orderings_Olinorder(_u9211) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9211), _u9212), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9213, _u9211), _u9214), _u9215))) | hBOOL(hAPP(hAPP(c_member(_u9213), skolem246(_u9215, _u9214, _u9213, _u9212, _u9211)), _u9214)) )).
% 12.54/12.78 cnf(matrix-5021, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9211) | ~class_Orderings_Olinorder(_u9211) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9211), _u9212), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9213, _u9211), _u9214), _u9215))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9211), _u9212), hAPP(_u9215, skolem246(_u9215, _u9214, _u9213, _u9212, _u9211)))) )).
% 12.54/12.78 cnf(matrix-5022, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9211) | ~class_Orderings_Olinorder(_u9211) | ~hBOOL(hAPP(hAPP(c_member(_u9213), _u9210), _u9214)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9211), _u9212), hAPP(_u9215, _u9210))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9211), _u9212), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9213, _u9211), _u9214), _u9215))) )).
% 12.54/12.78 cnf(matrix-5023, plain, ( ~class_Groups_Ocomm__monoid__add(_u9216) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9217, _u9216), hAPP(hAPP(c_COMBS(_u9217, _u9216, _u9216), hAPP(hAPP(c_COMBB(_u9216, tc_fun(_u9216, _u9216), _u9217), c_Groups_Oplus__class_Oplus(_u9216)), _u9218)), _u9219)), _u9220) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9216), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9217, _u9216), _u9218), _u9220)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9217, _u9216), _u9219), _u9220))) )).
% 12.54/12.78 cnf(matrix-5024, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9223) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9223), _u9224), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9225, _u9223), _u9226), _u9227))) | ~hBOOL(hAPP(hAPP(c_member(_u9225), _u9221), _u9226)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9223), _u9224), hAPP(_u9227, _u9221))) )).
% 12.54/12.78 cnf(matrix-5025, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9223) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9223), _u9224), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9225, _u9223), _u9226), _u9227))) | hBOOL(hAPP(hAPP(c_member(_u9225), skolem247(_u9227, _u9226, _u9225, _u9224, _u9223)), _u9226)) )).
% 12.54/12.78 cnf(matrix-5026, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9223) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9223), _u9224), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9225, _u9223), _u9226), _u9227))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9223), _u9224), hAPP(_u9227, skolem247(_u9227, _u9226, _u9225, _u9224, _u9223)))) )).
% 12.54/12.78 cnf(matrix-5027, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9230) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9230), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9231, _u9230), _u9232), _u9233)), _u9234)) | ~hBOOL(hAPP(hAPP(c_member(_u9231), _u9228), _u9232)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9230), hAPP(_u9233, _u9228)), _u9234)) )).
% 12.54/12.78 cnf(matrix-5028, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9230) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9230), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9231, _u9230), _u9232), _u9233)), _u9234)) | hBOOL(hAPP(hAPP(c_member(_u9231), skolem248(_u9234, _u9233, _u9232, _u9231, _u9230)), _u9232)) )).
% 12.54/12.78 cnf(matrix-5029, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9230) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9230), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9231, _u9230), _u9232), _u9233)), _u9234)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9230), hAPP(_u9233, skolem248(_u9234, _u9233, _u9232, _u9231, _u9230))), _u9234)) )).
% 12.54/12.78 cnf(matrix-5030, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9242, tc_HOL_Obool)), _u9244), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9246, tc_fun(_u9242, tc_HOL_Obool)), _u9248), _u9250))) | ~hBOOL(hAPP(hAPP(c_member(_u9246), _u9235), _u9248)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9242, tc_HOL_Obool)), _u9244), hAPP(_u9250, _u9235))) )).
% 12.54/12.78 cnf(matrix-5031, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9243, tc_HOL_Obool)), _u9245), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9247, tc_fun(_u9243, tc_HOL_Obool)), _u9249), _u9251))) | hBOOL(hAPP(hAPP(c_member(_u9247), skolem249(_u9251, _u9249, _u9247, _u9245, _u9243)), _u9249)) )).
% 12.54/12.78 cnf(matrix-5032, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9243, tc_HOL_Obool)), _u9245), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9247, tc_fun(_u9243, tc_HOL_Obool)), _u9249), _u9251))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9243, tc_HOL_Obool)), _u9245), hAPP(_u9251, skolem249(_u9251, _u9249, _u9247, _u9245, _u9243)))) )).
% 12.54/12.78 cnf(matrix-5033, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9259, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9261, tc_fun(_u9259, tc_HOL_Obool)), _u9263), _u9265)), _u9267)) | ~hBOOL(hAPP(hAPP(c_member(_u9261), _u9252), _u9263)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9259, tc_HOL_Obool)), hAPP(_u9265, _u9252)), _u9267)) )).
% 12.54/12.78 cnf(matrix-5034, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9260, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9262, tc_fun(_u9260, tc_HOL_Obool)), _u9264), _u9266)), _u9268)) | hBOOL(hAPP(hAPP(c_member(_u9262), skolem250(_u9268, _u9266, _u9264, _u9262, _u9260)), _u9264)) )).
% 12.54/12.78 cnf(matrix-5035, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9260, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9262, tc_fun(_u9260, tc_HOL_Obool)), _u9264), _u9266)), _u9268)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9260, tc_HOL_Obool)), hAPP(_u9266, skolem250(_u9268, _u9266, _u9264, _u9262, _u9260))), _u9268)) )).
% 12.54/12.78 cnf(matrix-5036, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9273, tc_fun(_u9275, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u9273, tc_fun(tc_prod(_u9273, _u9275), tc_HOL_Obool), tc_fun(_u9275, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9275, tc_fun(tc_fun(tc_prod(_u9273, _u9275), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9273, _u9275), tc_HOL_Obool), tc_fun(_u9275, tc_HOL_Obool)), _u9273), c_COMBC(_u9275, tc_fun(tc_prod(_u9273, _u9275), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9275, tc_prod(_u9273, _u9275)), tc_fun(_u9275, tc_fun(tc_fun(tc_prod(_u9273, _u9275), tc_HOL_Obool), tc_HOL_Obool)), _u9273), hAPP(c_COMBB(tc_prod(_u9273, _u9275), tc_fun(tc_fun(tc_prod(_u9273, _u9275), tc_HOL_Obool), tc_HOL_Obool), _u9275), c_member(tc_prod(_u9273, _u9275)))), c_Product__Type_OPair(_u9273, _u9275)))), _u9277)), hAPP(hAPP(c_COMBC(_u9273, tc_fun(tc_prod(_u9273, _u9275), tc_HOL_Obool), tc_fun(_u9275, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9275, tc_fun(tc_fun(tc_prod(_u9273, _u9275), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9273, _u9275), tc_HOL_Obool), tc_fun(_u9275, tc_HOL_Obool)), _u9273), c_COMBC(_u9275, tc_fun(tc_prod(_u9273, _u9275), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9275, tc_prod(_u9273, _u9275)), tc_fun(_u9275, tc_fun(tc_fun(tc_prod(_u9273, _u9275), tc_HOL_Obool), tc_HOL_Obool)), _u9273), hAPP(c_COMBB(tc_prod(_u9273, _u9275), tc_fun(tc_fun(tc_prod(_u9273, _u9275), tc_HOL_Obool), tc_HOL_Obool), _u9275), c_member(tc_prod(_u9273, _u9275)))), c_Product__Type_OPair(_u9273, _u9275)))), _u9279))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u9273, _u9275), tc_HOL_Obool)), _u9277), _u9279)) )).
% 12.54/12.78 cnf(matrix-5037, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u9274, _u9276), tc_HOL_Obool)), _u9278), _u9280)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9274, tc_fun(_u9276, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u9274, tc_fun(tc_prod(_u9274, _u9276), tc_HOL_Obool), tc_fun(_u9276, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9276, tc_fun(tc_fun(tc_prod(_u9274, _u9276), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9274, _u9276), tc_HOL_Obool), tc_fun(_u9276, tc_HOL_Obool)), _u9274), c_COMBC(_u9276, tc_fun(tc_prod(_u9274, _u9276), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9276, tc_prod(_u9274, _u9276)), tc_fun(_u9276, tc_fun(tc_fun(tc_prod(_u9274, _u9276), tc_HOL_Obool), tc_HOL_Obool)), _u9274), hAPP(c_COMBB(tc_prod(_u9274, _u9276), tc_fun(tc_fun(tc_prod(_u9274, _u9276), tc_HOL_Obool), tc_HOL_Obool), _u9276), c_member(tc_prod(_u9274, _u9276)))), c_Product__Type_OPair(_u9274, _u9276)))), _u9278)), hAPP(hAPP(c_COMBC(_u9274, tc_fun(tc_prod(_u9274, _u9276), tc_HOL_Obool), tc_fun(_u9276, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9276, tc_fun(tc_fun(tc_prod(_u9274, _u9276), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9274, _u9276), tc_HOL_Obool), tc_fun(_u9276, tc_HOL_Obool)), _u9274), c_COMBC(_u9276, tc_fun(tc_prod(_u9274, _u9276), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9276, tc_prod(_u9274, _u9276)), tc_fun(_u9276, tc_fun(tc_fun(tc_prod(_u9274, _u9276), tc_HOL_Obool), tc_HOL_Obool)), _u9274), hAPP(c_COMBB(tc_prod(_u9274, _u9276), tc_fun(tc_fun(tc_prod(_u9274, _u9276), tc_HOL_Obool), tc_HOL_Obool), _u9276), c_member(tc_prod(_u9274, _u9276)))), c_Product__Type_OPair(_u9274, _u9276)))), _u9280))) )).
% 12.54/12.78 cnf(matrix-5038, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9281), _u9282), _u9283)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9284, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9281, tc_fun(_u9284, tc_HOL_Obool)), _u9283), _u9285)), hAPP(_u9285, _u9282))) )).
% 12.54/12.78 cnf(matrix-5039, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9289, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u9289, tc_fun(_u9289, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9289)), _u9291)), hAPP(hAPP(c_COMBC(_u9289, tc_fun(_u9289, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9289)), _u9293))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9289, tc_HOL_Obool)), _u9291), _u9293)) )).
% 12.54/12.78 cnf(matrix-5040, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9290, tc_HOL_Obool)), _u9292), _u9294)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9290, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u9290, tc_fun(_u9290, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9290)), _u9292)), hAPP(hAPP(c_COMBC(_u9290, tc_fun(_u9290, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9290)), _u9294))) )).
% 12.54/12.78 cnf(matrix-5041, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9295), _u9296), _u9297)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9298, tc_HOL_Obool)), hAPP(_u9299, _u9296)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9295, tc_fun(_u9298, tc_HOL_Obool)), _u9297), _u9299))) )).
% 12.54/12.78 cnf(matrix-5042, plain, ( ~class_Groups_Ocomm__monoid__add(_u9300) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9301), _u9302)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9301, _u9300), hAPP(hAPP(c_COMBS(_u9301, _u9300, _u9300), hAPP(hAPP(c_COMBB(_u9300, tc_fun(_u9300, _u9300), _u9301), c_Groups_Oplus__class_Oplus(_u9300)), _u9303)), _u9304)), _u9302) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9300), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9301, _u9300), _u9303), _u9302)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9301, _u9300), _u9304), _u9302))) )).
% 12.54/12.78 cnf(matrix-5043, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9305) | ~hBOOL(hAPP(hAPP(c_member(_u9306), _u9307), _u9308)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9305), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9306, _u9305), _u9308), _u9309)), hAPP(_u9309, _u9307))) )).
% 12.54/12.78 cnf(matrix-5044, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9310) | ~hBOOL(hAPP(hAPP(c_member(_u9311), _u9312), _u9313)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9310), hAPP(_u9314, _u9312)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9311, _u9310), _u9313), _u9314))) )).
% 12.54/12.78 cnf(matrix-5045, 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)))), _u9315))) )).
% 12.54/12.78 cnf(matrix-5046, plain, ( ( hAPP(c_Set_OPow(_u9316), _u9317) = hAPP(c_Set_OCollect(tc_fun(_u9316, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u9316, tc_HOL_Obool), tc_fun(_u9316, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u9316, tc_HOL_Obool))), _u9317))) )).
% 12.54/12.78 cnf(matrix-5047, plain, ( ( _u9323 != c_Orderings_Obot__class_Obot(tc_fun(_u9325, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9325, tc_fun(_u9327, tc_HOL_Obool)), _u9323), hAPP(hAPP(c_COMBC(_u9325, tc_fun(_u9327, tc_HOL_Obool), tc_fun(_u9327, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9327, tc_HOL_Obool), tc_fun(tc_fun(_u9327, tc_HOL_Obool), tc_fun(_u9327, tc_HOL_Obool)), _u9325), c_Groups_Ominus__class_Ominus(tc_fun(_u9327, tc_HOL_Obool))), _u9329)), _u9331)) = c_Orderings_Otop__class_Otop(tc_fun(_u9327, tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-5048, plain, ( ( _u9324 = c_Orderings_Obot__class_Obot(tc_fun(_u9326, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9326, tc_fun(_u9328, tc_HOL_Obool)), _u9324), hAPP(hAPP(c_COMBC(_u9326, tc_fun(_u9328, tc_HOL_Obool), tc_fun(_u9328, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9328, tc_HOL_Obool), tc_fun(tc_fun(_u9328, tc_HOL_Obool), tc_fun(_u9328, tc_HOL_Obool)), _u9326), c_Groups_Ominus__class_Ominus(tc_fun(_u9328, tc_HOL_Obool))), _u9330)), _u9332)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9328, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9326, tc_fun(_u9328, tc_HOL_Obool)), _u9324), _u9330)), _u9332)) )).
% 12.54/12.78 cnf(matrix-5049, plain, ( ( _u9338 != c_Orderings_Obot__class_Obot(tc_fun(_u9340, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9342, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9340, tc_fun(_u9342, tc_HOL_Obool)), _u9338), _u9344)), _u9346) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9342, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9342, tc_HOL_Obool))), _u9346)) )).
% 12.54/12.78 cnf(matrix-5050, plain, ( ( _u9339 = c_Orderings_Obot__class_Obot(tc_fun(_u9341, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9343, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9341, tc_fun(_u9343, tc_HOL_Obool)), _u9339), _u9345)), _u9347) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9341, tc_fun(_u9343, tc_HOL_Obool)), _u9339), hAPP(hAPP(c_COMBC(_u9341, tc_fun(_u9343, tc_HOL_Obool), tc_fun(_u9343, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9343, tc_HOL_Obool), tc_fun(tc_fun(_u9343, tc_HOL_Obool), tc_fun(_u9343, tc_HOL_Obool)), _u9341), c_Groups_Ominus__class_Ominus(tc_fun(_u9343, tc_HOL_Obool))), _u9345)), _u9347))) )).
% 12.54/12.78 cnf(matrix-5051, plain, ( ( _u9353 != c_Orderings_Obot__class_Obot(tc_fun(_u9355, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9357, tc_HOL_Obool)), _u9359), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9355, tc_fun(_u9357, tc_HOL_Obool)), _u9353), _u9361)) = _u9359) )).
% 12.54/12.78 cnf(matrix-5052, plain, ( ( _u9354 = c_Orderings_Obot__class_Obot(tc_fun(_u9356, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9358, tc_HOL_Obool)), _u9360), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9356, tc_fun(_u9358, tc_HOL_Obool)), _u9354), _u9362)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9356, tc_fun(_u9358, tc_HOL_Obool)), _u9354), hAPP(hAPP(c_COMBB(tc_fun(_u9358, tc_HOL_Obool), tc_fun(_u9358, tc_HOL_Obool), _u9356), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9358, tc_HOL_Obool)), _u9360)), _u9362))) )).
% 12.54/12.78 cnf(matrix-5053, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9363, tc_fun(_u9364, tc_HOL_Obool)), _u9365), hAPP(hAPP(c_COMBB(tc_fun(_u9364, tc_HOL_Obool), tc_fun(_u9364, tc_HOL_Obool), _u9363), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9364, tc_HOL_Obool)), _u9366)), _u9367)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9364, tc_HOL_Obool)), _u9366), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9363, tc_fun(_u9364, tc_HOL_Obool)), _u9365), _u9367))) )).
% 12.54/12.78 cnf(matrix-5054, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9368, tc_fun(_u9369, tc_HOL_Obool)), _u9370), hAPP(hAPP(c_COMBC(_u9368, tc_fun(_u9369, tc_HOL_Obool), tc_fun(_u9369, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9369, tc_HOL_Obool), tc_fun(tc_fun(_u9369, tc_HOL_Obool), tc_fun(_u9369, tc_HOL_Obool)), _u9368), c_Groups_Ominus__class_Ominus(tc_fun(_u9369, tc_HOL_Obool))), _u9371)), _u9372)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9369, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9368, tc_fun(_u9369, tc_HOL_Obool)), _u9370), _u9371)), _u9372)) )).
% 12.54/12.78 cnf(matrix-5055, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9373, tc_HOL_Obool)), _u9374), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9375, tc_fun(_u9373, tc_HOL_Obool)), _u9376), _u9377)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9375, tc_fun(_u9373, tc_HOL_Obool)), _u9376), hAPP(hAPP(c_COMBB(tc_fun(_u9373, tc_HOL_Obool), tc_fun(_u9373, tc_HOL_Obool), _u9375), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9373, tc_HOL_Obool)), _u9374)), _u9377))) )).
% 12.54/12.78 cnf(matrix-5056, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9378, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9379, tc_fun(_u9378, tc_HOL_Obool)), _u9380), _u9381)), _u9382) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9379, tc_fun(_u9378, tc_HOL_Obool)), _u9380), hAPP(hAPP(c_COMBC(_u9379, tc_fun(_u9378, tc_HOL_Obool), tc_fun(_u9378, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9378, tc_HOL_Obool), tc_fun(tc_fun(_u9378, tc_HOL_Obool), tc_fun(_u9378, tc_HOL_Obool)), _u9379), c_Groups_Ominus__class_Ominus(tc_fun(_u9378, tc_HOL_Obool))), _u9381)), _u9382))) )).
% 12.54/12.78 cnf(matrix-5057, plain, ( ~class_Groups_Ominus(_u9383) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9384, _u9383)), _u9385), _u9386), _u9387) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9383), hAPP(_u9385, _u9387)), hAPP(_u9386, _u9387))) )).
% 12.54/12.78 cnf(matrix-5058, plain, ( ~class_Groups_Oab__group__add(_u9388) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9389, _u9388), hAPP(hAPP(c_COMBS(_u9389, _u9388, _u9388), hAPP(hAPP(c_COMBB(_u9388, tc_fun(_u9388, _u9388), _u9389), c_Groups_Ominus__class_Ominus(_u9388)), _u9390)), _u9391)), _u9392) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9388), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9389, _u9388), _u9390), _u9392)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9389, _u9388), _u9391), _u9392))) )).
% 12.54/12.78 cnf(matrix-5059, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9393, tc_HOL_Obool)), _u9394), _u9395) = hAPP(c_Set_OCollect(_u9393), hAPP(hAPP(c_COMBS(_u9393, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9393), c_fconj), hAPP(hAPP(c_COMBC(_u9393, tc_fun(_u9393, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9393)), _u9394))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9393), c_fNot), hAPP(hAPP(c_COMBC(_u9393, tc_fun(_u9393, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9393)), _u9395))))) )).
% 12.54/12.78 cnf(matrix-5060, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u9396), _u9397), _u9398) = hAPP(c_Set_OCollect(_u9396), hAPP(hAPP(c_COMBS(_u9396, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9396), c_fdisj), hAPP(hAPP(c_COMBC(_u9396, _u9396, tc_HOL_Obool), c_fequal), _u9397))), hAPP(hAPP(c_COMBC(_u9396, tc_fun(_u9396, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9396)), _u9398)))) )).
% 12.54/12.78 cnf(matrix-5061, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u9399), _u9400), _u9401) = hAPP(c_Set_OCollect(_u9399), hAPP(hAPP(c_COMBS(_u9399, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9399), c_fdisj), hAPP(hAPP(c_COMBC(_u9399, _u9399, tc_HOL_Obool), c_fequal), _u9400))), hAPP(hAPP(c_COMBC(_u9399, tc_fun(_u9399, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9399)), _u9401)))) )).
% 12.54/12.78 cnf(matrix-5062, plain, ( ~hBOOL(hAPP(_u9405, _u9407)) | ( hAPP(c_Set_OCollect(_u9409), hAPP(hAPP(c_COMBS(_u9409, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9409), c_fconj), hAPP(hAPP(c_COMBC(_u9409, _u9409, tc_HOL_Obool), c_fequal), _u9407))), _u9405)) = hAPP(hAPP(c_Set_Oinsert(_u9409), _u9407), c_Orderings_Obot__class_Obot(tc_fun(_u9409, tc_HOL_Obool)))) )).
% 12.54/12.78 cnf(matrix-5063, plain, ( hBOOL(hAPP(_u9406, _u9408)) | ( hAPP(c_Set_OCollect(_u9410), hAPP(hAPP(c_COMBS(_u9410, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9410), c_fconj), hAPP(hAPP(c_COMBC(_u9410, _u9410, tc_HOL_Obool), c_fequal), _u9408))), _u9406)) = c_Orderings_Obot__class_Obot(tc_fun(_u9410, tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-5064, plain, ( ~hBOOL(hAPP(_u9414, _u9416)) | ( hAPP(c_Set_OCollect(_u9418), hAPP(hAPP(c_COMBS(_u9418, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9418), c_fconj), hAPP(c_fequal, _u9416))), _u9414)) = hAPP(hAPP(c_Set_Oinsert(_u9418), _u9416), c_Orderings_Obot__class_Obot(tc_fun(_u9418, tc_HOL_Obool)))) )).
% 12.54/12.78 cnf(matrix-5065, plain, ( hBOOL(hAPP(_u9415, _u9417)) | ( hAPP(c_Set_OCollect(_u9419), hAPP(hAPP(c_COMBS(_u9419, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9419), c_fconj), hAPP(c_fequal, _u9417))), _u9415)) = c_Orderings_Obot__class_Obot(tc_fun(_u9419, tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-5066, plain, ( ( hAPP(c_Set_OCollect(_u9420), hAPP(hAPP(c_COMBC(_u9420, _u9420, tc_HOL_Obool), c_fequal), _u9421)) = hAPP(hAPP(c_Set_Oinsert(_u9420), _u9421), c_Orderings_Obot__class_Obot(tc_fun(_u9420, tc_HOL_Obool)))) )).
% 12.54/12.78 cnf(matrix-5067, plain, ( ( hAPP(c_Set_OCollect(_u9422), hAPP(c_fequal, _u9423)) = hAPP(hAPP(c_Set_Oinsert(_u9422), _u9423), c_Orderings_Obot__class_Obot(tc_fun(_u9422, tc_HOL_Obool)))) )).
% 12.54/12.78 cnf(matrix-5068, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9424), _u9425), _u9426)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9424, tc_fun(_u9427, tc_HOL_Obool)), _u9426), hAPP(hAPP(c_COMBB(tc_fun(_u9427, tc_HOL_Obool), tc_fun(_u9427, tc_HOL_Obool), _u9424), hAPP(c_Set_Oinsert(_u9427), _u9428)), _u9429)) = hAPP(hAPP(c_Set_Oinsert(_u9427), _u9428), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9424, tc_fun(_u9427, tc_HOL_Obool)), _u9426), _u9429))) )).
% 12.54/12.78 cnf(matrix-5069, plain, ( ( _u9434 != c_Orderings_Obot__class_Obot(tc_fun(_u9436, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u9436, _u9438, hAPP(c_COMBK(_u9438, _u9436), _u9440)), _u9434) = c_Orderings_Obot__class_Obot(tc_fun(_u9438, tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-5070, plain, ( ( _u9435 = c_Orderings_Obot__class_Obot(tc_fun(_u9437, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u9437, _u9439, hAPP(c_COMBK(_u9439, _u9437), _u9441)), _u9435) = hAPP(hAPP(c_Set_Oinsert(_u9439), _u9441), c_Orderings_Obot__class_Obot(tc_fun(_u9439, tc_HOL_Obool)))) )).
% 12.54/12.78 cnf(matrix-5071, plain, ( ~class_Fields_Olinordered__field(_u9442) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9442), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9443, _u9442), _u9444), _u9445)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9443, _u9442), hAPP(hAPP(c_COMBB(_u9442, _u9442, _u9443), c_Groups_Oabs__class_Oabs(_u9442)), _u9444)), _u9445)) )).
% 12.54/12.78 cnf(matrix-5072, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u9446) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9446), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9447, _u9446), hAPP(hAPP(c_COMBB(_u9446, _u9446, _u9447), c_Groups_Oabs__class_Oabs(_u9446)), _u9448)), _u9449)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9447, _u9446), hAPP(hAPP(c_COMBB(_u9446, _u9446, _u9447), c_Groups_Oabs__class_Oabs(_u9446)), _u9448)), _u9449)) )).
% 12.54/12.78 cnf(matrix-5073, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9450, tc_fun(_u9451, tc_HOL_Obool)), _u9452), _u9453) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u9451, tc_HOL_Obool), hAPP(c_Set_Oimage(_u9450, tc_fun(_u9451, tc_HOL_Obool), _u9453), _u9452))) )).
% 12.54/12.78 cnf(matrix-5074, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u9454, tc_HOL_Obool), hAPP(c_Set_Oimage(_u9455, tc_fun(_u9454, tc_HOL_Obool), _u9456), _u9457)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9455, tc_fun(_u9454, tc_HOL_Obool)), _u9457), _u9456)) )).
% 12.54/12.78 cnf(matrix-5075, plain, ( ( hAPP(c_Set_Oimage(_u9458, _u9459, _u9460), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9458, tc_HOL_Obool), _u9461)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9458, tc_HOL_Obool), tc_fun(_u9459, tc_HOL_Obool)), _u9461), c_Set_Oimage(_u9458, _u9459, _u9460))) )).
% 12.54/12.78 cnf(matrix-5076, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9462, tc_fun(_u9463, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u9464, _u9462, _u9465), _u9466)), _u9467) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9464, tc_fun(_u9463, tc_HOL_Obool)), _u9466), hAPP(hAPP(c_COMBB(_u9462, tc_fun(_u9463, tc_HOL_Obool), _u9464), _u9467), _u9465))) )).
% 12.54/12.78 cnf(matrix-5077, plain, ( ( hAPP(c_Set_Oimage(_u9468, _u9469, _u9470), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9471, tc_fun(_u9468, tc_HOL_Obool)), _u9472), _u9473)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9471, tc_fun(_u9469, tc_HOL_Obool)), _u9472), hAPP(hAPP(c_COMBB(tc_fun(_u9468, tc_HOL_Obool), tc_fun(_u9469, tc_HOL_Obool), _u9471), c_Set_Oimage(_u9468, _u9469, _u9470)), _u9473))) )).
% 12.54/12.78 cnf(matrix-5078, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9474, tc_fun(_u9475, tc_HOL_Obool)), _u9476), hAPP(hAPP(c_COMBB(_u9477, tc_fun(_u9475, tc_HOL_Obool), _u9474), _u9478), _u9479)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9477, tc_fun(_u9475, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u9474, _u9477, _u9479), _u9476)), _u9478)) )).
% 12.54/12.78 cnf(matrix-5079, plain, ( ( hAPP(c_Set_Oimage(_u9480, _u9481, _u9482), hAPP(c_Set_Oimage(_u9483, _u9480, _u9484), _u9485)) = hAPP(c_Set_Oimage(_u9483, _u9481, hAPP(hAPP(c_COMBB(_u9480, _u9481, _u9483), _u9482), _u9484)), _u9485)) )).
% 12.54/12.78 cnf(matrix-5080, plain, ( ( hAPP(c_Set_Oimage(_u9486, _u9486, c_COMBI(_u9486)), _u9487) = _u9487) )).
% 12.54/12.78 cnf(matrix-5081, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9488, tc_fun(_u9489, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u9490, _u9488, _u9491), _u9492)), _u9493) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9490, tc_fun(_u9489, tc_HOL_Obool)), _u9492), hAPP(hAPP(c_COMBB(_u9488, tc_fun(_u9489, tc_HOL_Obool), _u9490), _u9493), _u9491))) )).
% 12.54/12.78 cnf(matrix-5082, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9494, tc_fun(_u9495, tc_HOL_Obool)), _u9496), hAPP(hAPP(c_COMBB(_u9497, tc_fun(_u9495, tc_HOL_Obool), _u9494), _u9498), _u9499)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9497, tc_fun(_u9495, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u9494, _u9497, _u9499), _u9496)), _u9498)) )).
% 12.54/12.78 cnf(matrix-5083, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9500, tc_Nat_Onat), _u9501), _u9502)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9500, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u9500), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9501)), _u9502)) )).
% 12.54/12.78 cnf(matrix-5084, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9503), _u9504), _u9505)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9503, tc_fun(_u9506, tc_HOL_Obool)), _u9505), hAPP(hAPP(c_COMBB(tc_fun(_u9506, tc_HOL_Obool), tc_fun(_u9506, tc_HOL_Obool), _u9503), hAPP(c_Set_Oinsert(_u9506), _u9507)), _u9508)) = hAPP(hAPP(c_Set_Oinsert(_u9506), _u9507), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9503, tc_fun(_u9506, tc_HOL_Obool)), _u9505), _u9508))) )).
% 12.54/12.78 cnf(matrix-5085, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u9513, tc_fun(_u9515, tc_HOL_Obool))), _u9517), _u9519)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u9513, _u9515)), hAPP(hAPP(c_Product__Type_OPair(_u9513, _u9515), _u9517), _u9519)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u9513, _u9515), tc_HOL_Obool)))) )).
% 12.54/12.78 cnf(matrix-5086, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9514, _u9516)), hAPP(hAPP(c_Product__Type_OPair(_u9514, _u9516), _u9518), _u9520)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u9514, _u9516), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u9514, tc_fun(_u9516, tc_HOL_Obool))), _u9518), _u9520)) )).
% 12.54/12.78 cnf(matrix-5087, plain, ( ~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u9523, tc_HOL_Obool)), _u9525)) | hBOOL(hAPP(hAPP(c_member(_u9523), _u9525), c_Orderings_Obot__class_Obot(tc_fun(_u9523, tc_HOL_Obool)))) )).
% 12.54/12.78 cnf(matrix-5088, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9524), _u9526), c_Orderings_Obot__class_Obot(tc_fun(_u9524, tc_HOL_Obool)))) | hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u9524, tc_HOL_Obool)), _u9526)) )).
% 12.54/12.78 cnf(matrix-5089, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9534), _u9536), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9538, tc_fun(_u9534, tc_HOL_Obool)), _u9540), _u9542))) | hBOOL(hAPP(hAPP(c_member(_u9538), skolem251(_u9542, _u9540, _u9538, _u9536, _u9534)), _u9540)) )).
% 12.54/12.78 cnf(matrix-5090, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9534), _u9536), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9538, tc_fun(_u9534, tc_HOL_Obool)), _u9540), _u9542))) | hBOOL(hAPP(hAPP(c_member(_u9534), _u9536), hAPP(_u9542, skolem251(_u9542, _u9540, _u9538, _u9536, _u9534)))) )).
% 12.54/12.78 cnf(matrix-5091, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9539), _u9528), _u9541)) | ~hBOOL(hAPP(hAPP(c_member(_u9535), _u9537), hAPP(_u9543, _u9528))) | hBOOL(hAPP(hAPP(c_member(_u9535), _u9537), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9539, tc_fun(_u9535, tc_HOL_Obool)), _u9541), _u9543))) )).
% 12.54/12.78 cnf(matrix-5092, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9551), _u9553), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9555, tc_fun(_u9551, tc_HOL_Obool)), _u9557), _u9559))) | ~hBOOL(hAPP(hAPP(c_member(_u9555), _u9544), _u9557)) | hBOOL(hAPP(hAPP(c_member(_u9551), _u9553), hAPP(_u9559, _u9544))) )).
% 12.54/12.78 cnf(matrix-5093, plain, ( hBOOL(hAPP(hAPP(c_member(_u9552), _u9554), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9556, tc_fun(_u9552, tc_HOL_Obool)), _u9558), _u9560))) | hBOOL(hAPP(hAPP(c_member(_u9556), skolem252(_u9560, _u9558, _u9556, _u9554, _u9552)), _u9558)) )).
% 12.54/12.78 cnf(matrix-5094, plain, ( hBOOL(hAPP(hAPP(c_member(_u9552), _u9554), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9556, tc_fun(_u9552, tc_HOL_Obool)), _u9558), _u9560))) | ~hBOOL(hAPP(hAPP(c_member(_u9552), _u9554), hAPP(_u9560, skolem252(_u9560, _u9558, _u9556, _u9554, _u9552)))) )).
% 12.54/12.78 cnf(matrix-5095, plain, ( ( _u9566 = _u9568) | ( hAPP(hAPP(c_COMBC(_u9564, tc_fun(_u9564, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9564)), _u9566) != hAPP(hAPP(c_COMBC(_u9564, tc_fun(_u9564, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9564)), _u9568)) )).
% 12.54/12.78 cnf(matrix-5096, plain, ( ( _u9567 != _u9569) | ( hAPP(hAPP(c_COMBC(_u9565, tc_fun(_u9565, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9565)), _u9567) = hAPP(hAPP(c_COMBC(_u9565, tc_fun(_u9565, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9565)), _u9569)) )).
% 12.54/12.78 cnf(matrix-5097, plain, ( ( _u9578 = _u9580) | ( hAPP(hAPP(c_COMBC(_u9574, tc_fun(tc_prod(_u9574, _u9576), tc_HOL_Obool), tc_fun(_u9576, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9576, tc_fun(tc_fun(tc_prod(_u9574, _u9576), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9574, _u9576), tc_HOL_Obool), tc_fun(_u9576, tc_HOL_Obool)), _u9574), c_COMBC(_u9576, tc_fun(tc_prod(_u9574, _u9576), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9576, tc_prod(_u9574, _u9576)), tc_fun(_u9576, tc_fun(tc_fun(tc_prod(_u9574, _u9576), tc_HOL_Obool), tc_HOL_Obool)), _u9574), hAPP(c_COMBB(tc_prod(_u9574, _u9576), tc_fun(tc_fun(tc_prod(_u9574, _u9576), tc_HOL_Obool), tc_HOL_Obool), _u9576), c_member(tc_prod(_u9574, _u9576)))), c_Product__Type_OPair(_u9574, _u9576)))), _u9578) != hAPP(hAPP(c_COMBC(_u9574, tc_fun(tc_prod(_u9574, _u9576), tc_HOL_Obool), tc_fun(_u9576, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9576, tc_fun(tc_fun(tc_prod(_u9574, _u9576), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9574, _u9576), tc_HOL_Obool), tc_fun(_u9576, tc_HOL_Obool)), _u9574), c_COMBC(_u9576, tc_fun(tc_prod(_u9574, _u9576), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9576, tc_prod(_u9574, _u9576)), tc_fun(_u9576, tc_fun(tc_fun(tc_prod(_u9574, _u9576), tc_HOL_Obool), tc_HOL_Obool)), _u9574), hAPP(c_COMBB(tc_prod(_u9574, _u9576), tc_fun(tc_fun(tc_prod(_u9574, _u9576), tc_HOL_Obool), tc_HOL_Obool), _u9576), c_member(tc_prod(_u9574, _u9576)))), c_Product__Type_OPair(_u9574, _u9576)))), _u9580)) )).
% 12.54/12.78 cnf(matrix-5098, plain, ( ( _u9579 != _u9581) | ( hAPP(hAPP(c_COMBC(_u9575, tc_fun(tc_prod(_u9575, _u9577), tc_HOL_Obool), tc_fun(_u9577, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9577, tc_fun(tc_fun(tc_prod(_u9575, _u9577), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9575, _u9577), tc_HOL_Obool), tc_fun(_u9577, tc_HOL_Obool)), _u9575), c_COMBC(_u9577, tc_fun(tc_prod(_u9575, _u9577), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9577, tc_prod(_u9575, _u9577)), tc_fun(_u9577, tc_fun(tc_fun(tc_prod(_u9575, _u9577), tc_HOL_Obool), tc_HOL_Obool)), _u9575), hAPP(c_COMBB(tc_prod(_u9575, _u9577), tc_fun(tc_fun(tc_prod(_u9575, _u9577), tc_HOL_Obool), tc_HOL_Obool), _u9577), c_member(tc_prod(_u9575, _u9577)))), c_Product__Type_OPair(_u9575, _u9577)))), _u9579) = hAPP(hAPP(c_COMBC(_u9575, tc_fun(tc_prod(_u9575, _u9577), tc_HOL_Obool), tc_fun(_u9577, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9577, tc_fun(tc_fun(tc_prod(_u9575, _u9577), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9575, _u9577), tc_HOL_Obool), tc_fun(_u9577, tc_HOL_Obool)), _u9575), c_COMBC(_u9577, tc_fun(tc_prod(_u9575, _u9577), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9577, tc_prod(_u9575, _u9577)), tc_fun(_u9577, tc_fun(tc_fun(tc_prod(_u9575, _u9577), tc_HOL_Obool), tc_HOL_Obool)), _u9575), hAPP(c_COMBB(tc_prod(_u9575, _u9577), tc_fun(tc_fun(tc_prod(_u9575, _u9577), tc_HOL_Obool), tc_HOL_Obool), _u9577), c_member(tc_prod(_u9575, _u9577)))), c_Product__Type_OPair(_u9575, _u9577)))), _u9581)) )).
% 12.54/12.78 cnf(matrix-5099, plain, ( hBOOL(hAPP(_u9584, _u9583)) | ~hBOOL(hAPP(hAPP(c_member(_u9582), _u9583), hAPP(c_Set_OCollect(_u9582), _u9584))) )).
% 12.54/12.78 cnf(matrix-5100, plain, ( hBOOL(hAPP(_u9587, _u9586)) | ~hBOOL(hAPP(hAPP(c_member(_u9585), _u9586), hAPP(c_Set_OCollect(_u9585), _u9587))) )).
% 12.54/12.78 cnf(matrix-5101, plain, ( hBOOL(hAPP(_u9595, _u9593)) | ~hBOOL(hAPP(hAPP(c_member(_u9591), _u9593), hAPP(c_Set_OCollect(_u9591), _u9595))) )).
% 12.54/12.78 cnf(matrix-5102, plain, ( ~hBOOL(hAPP(_u9596, _u9594)) | hBOOL(hAPP(hAPP(c_member(_u9592), _u9594), hAPP(c_Set_OCollect(_u9592), _u9596))) )).
% 12.54/12.78 cnf(matrix-5103, plain, ( ( hAPP(c_Set_OCollect(_u9597), hAPP(hAPP(c_COMBC(_u9597, tc_fun(_u9597, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9597)), _u9598)) = _u9598) )).
% 12.54/12.78 cnf(matrix-5104, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9602), hAPP(c_Set_OCollect(_u9602), hAPP(hAPP(c_COMBS(_u9602, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9602), c_fdisj), _u9604)), _u9606)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9602), hAPP(c_Set_OCollect(_u9602), _u9604))) )).
% 12.54/12.78 cnf(matrix-5105, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9602), hAPP(c_Set_OCollect(_u9602), hAPP(hAPP(c_COMBS(_u9602, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9602), c_fdisj), _u9604)), _u9606)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9602), hAPP(c_Set_OCollect(_u9602), _u9606))) )).
% 12.54/12.78 cnf(matrix-5106, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9603), hAPP(c_Set_OCollect(_u9603), _u9605))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9603), hAPP(c_Set_OCollect(_u9603), _u9607))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9603), hAPP(c_Set_OCollect(_u9603), hAPP(hAPP(c_COMBS(_u9603, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9603), c_fdisj), _u9605)), _u9607)))) )).
% 12.54/12.78 cnf(matrix-5107, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9608, tc_fun(_u9609, tc_HOL_Obool)), _u9610), hAPP(hAPP(c_COMBB(tc_fun(_u9609, tc_HOL_Obool), tc_fun(_u9609, tc_HOL_Obool), _u9608), hAPP(c_Set_Oinsert(_u9609), _u9611)), _u9612)) = hAPP(hAPP(c_Set_Oinsert(_u9609), _u9611), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9608, tc_fun(_u9609, tc_HOL_Obool)), _u9610), _u9612))) )).
% 12.54/12.78 cnf(matrix-5108, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u9613), _u9614), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9615, tc_fun(_u9613, tc_HOL_Obool)), _u9616), _u9617)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9615, tc_fun(_u9613, tc_HOL_Obool)), _u9616), hAPP(hAPP(c_COMBB(tc_fun(_u9613, tc_HOL_Obool), tc_fun(_u9613, tc_HOL_Obool), _u9615), hAPP(c_Set_Oinsert(_u9613), _u9614)), _u9617))) )).
% 12.54/12.78 cnf(matrix-5109, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u9618), _u9619), hAPP(c_Set_OCollect(_u9618), _u9620)) = hAPP(c_Set_OCollect(_u9618), hAPP(hAPP(c_COMBS(_u9618, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9618), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9618), c_fNot), hAPP(hAPP(c_COMBC(_u9618, _u9618, tc_HOL_Obool), c_fequal), _u9619)))), _u9620))) )).
% 12.54/12.78 cnf(matrix-5110, plain, ( ~class_Orderings_Obot(_u9621) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u9622, _u9621)), _u9623) = c_Orderings_Obot__class_Obot(_u9621)) )).
% 12.54/12.78 cnf(matrix-5111, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u9624, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u9624), hAPP(c_COMBK(tc_HOL_Obool, _u9624), c_fFalse))) )).
% 12.54/12.78 cnf(matrix-5112, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9625) | ( _u9626 = c_Orderings_Obot__class_Obot(tc_fun(_u9627, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9627, _u9625), _u9626), hAPP(c_COMBK(_u9625, _u9627), _u9628)) = _u9628) )).
% 12.54/12.78 cnf(matrix-5113, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u9635, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9637, tc_fun(_u9635, tc_HOL_Obool)), _u9639), _u9641)) | ~hBOOL(hAPP(hAPP(c_member(_u9637), _u9629), _u9639)) | ( hAPP(_u9641, _u9629) = c_Orderings_Obot__class_Obot(tc_fun(_u9635, tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-5114, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u9636, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9638, tc_fun(_u9636, tc_HOL_Obool)), _u9640), _u9642)) | hBOOL(hAPP(hAPP(c_member(_u9638), skolem253(_u9642, _u9640, _u9638, _u9636)), _u9640)) )).
% 12.54/12.78 cnf(matrix-5115, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u9636, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9638, tc_fun(_u9636, tc_HOL_Obool)), _u9640), _u9642)) | ( hAPP(_u9642, skolem253(_u9642, _u9640, _u9638, _u9636)) != c_Orderings_Obot__class_Obot(tc_fun(_u9636, tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-5116, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9643, tc_fun(_u9644, tc_HOL_Obool)), _u9645), hAPP(c_COMBK(tc_fun(_u9644, tc_HOL_Obool), _u9643), c_Orderings_Obot__class_Obot(tc_fun(_u9644, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9644, tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-5117, plain, ( ( _u9650 != c_Orderings_Obot__class_Obot(tc_fun(_u9652, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9652, tc_fun(_u9654, tc_HOL_Obool)), _u9650), hAPP(c_COMBK(tc_fun(_u9654, tc_HOL_Obool), _u9652), _u9656)) = c_Orderings_Obot__class_Obot(tc_fun(_u9654, tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-5118, plain, ( ( _u9651 = c_Orderings_Obot__class_Obot(tc_fun(_u9653, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9653, tc_fun(_u9655, tc_HOL_Obool)), _u9651), hAPP(c_COMBK(tc_fun(_u9655, tc_HOL_Obool), _u9653), _u9657)) = _u9657) )).
% 12.54/12.78 cnf(matrix-5119, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9664, tc_fun(_u9666, tc_HOL_Obool)), _u9668), _u9670) != c_Orderings_Obot__class_Obot(tc_fun(_u9666, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9664), _u9658), _u9668)) | ( hAPP(_u9670, _u9658) = c_Orderings_Obot__class_Obot(tc_fun(_u9666, tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-5120, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9665, tc_fun(_u9667, tc_HOL_Obool)), _u9669), _u9671) = c_Orderings_Obot__class_Obot(tc_fun(_u9667, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u9665), skolem254(_u9671, _u9669, _u9667, _u9665)), _u9669)) )).
% 12.54/12.78 cnf(matrix-5121, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9665, tc_fun(_u9667, tc_HOL_Obool)), _u9669), _u9671) = c_Orderings_Obot__class_Obot(tc_fun(_u9667, tc_HOL_Obool))) | ( hAPP(_u9671, skolem254(_u9671, _u9669, _u9667, _u9665)) != c_Orderings_Obot__class_Obot(tc_fun(_u9667, tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-5122, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9672) | ( _u9673 = c_Orderings_Obot__class_Obot(tc_fun(_u9674, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9674, _u9672), _u9673), hAPP(c_COMBK(_u9672, _u9674), _u9675)) = _u9675) )).
% 12.54/12.78 cnf(matrix-5123, plain, ( ~class_Groups_Oab__group__add(_u9676) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9677, _u9676), hAPP(hAPP(c_COMBB(_u9676, _u9676, _u9677), c_Groups_Ouminus__class_Ouminus(_u9676)), _u9678)), _u9679) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9676), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9677, _u9676), _u9678), _u9679))) )).
% 12.54/12.78 cnf(matrix-5124, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9680) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9681, _u9680), hAPP(hAPP(c_COMBS(_u9681, _u9680, _u9680), hAPP(hAPP(c_COMBB(_u9680, tc_fun(_u9680, _u9680), _u9681), c_Groups_Otimes__class_Otimes(_u9680)), _u9682)), _u9683)), _u9684) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9680), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9681, _u9680), _u9682), _u9684)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9681, _u9680), _u9683), _u9684))) )).
% 12.54/12.78 cnf(matrix-5125, plain, ( ~class_Rings_Osemiring__0(_u9685) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9685), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9686, _u9685), _u9687), _u9688)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9689, _u9685), _u9690), _u9691)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9686, _u9685), hAPP(hAPP(c_COMBC(_u9686, tc_fun(_u9689, tc_HOL_Obool), _u9685), hAPP(hAPP(c_COMBB(tc_fun(_u9689, _u9685), tc_fun(tc_fun(_u9689, tc_HOL_Obool), _u9685), _u9686), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9689, _u9685)), hAPP(hAPP(c_COMBC(_u9686, tc_fun(_u9689, _u9685), tc_fun(_u9689, _u9685)), hAPP(hAPP(c_COMBB(tc_fun(_u9685, _u9685), tc_fun(tc_fun(_u9689, _u9685), tc_fun(_u9689, _u9685)), _u9686), c_COMBB(_u9685, _u9685, _u9689)), hAPP(hAPP(c_COMBB(_u9685, tc_fun(_u9685, _u9685), _u9686), c_Groups_Otimes__class_Otimes(_u9685)), _u9687))), _u9690))), _u9691)), _u9688)) )).
% 12.54/12.78 cnf(matrix-5126, plain, ( ~class_Rings_Osemiring__0(_u9692) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9692), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9693, _u9692), _u9694), _u9695)), _u9696) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9693, _u9692), hAPP(hAPP(c_COMBC(_u9693, _u9692, _u9692), hAPP(hAPP(c_COMBB(_u9692, tc_fun(_u9692, _u9692), _u9693), c_Groups_Otimes__class_Otimes(_u9692)), _u9694)), _u9696)), _u9695)) )).
% 12.54/12.78 cnf(matrix-5127, plain, ( ~class_Rings_Osemiring__0(_u9697) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9697), _u9698), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9699, _u9697), _u9700), _u9701)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9699, _u9697), hAPP(hAPP(c_COMBB(_u9697, _u9697, _u9699), hAPP(c_Groups_Otimes__class_Otimes(_u9697), _u9698)), _u9700)), _u9701)) )).
% 12.54/12.78 cnf(matrix-5128, plain, ( ( hAPP(c_Set_OCollect(_u9702), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9702), c_fNot), _u9703)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9702, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u9702), _u9703))) )).
% 12.54/12.78 cnf(matrix-5129, plain, ( ~class_Groups_Ouminus(_u9704) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9705, _u9704)), _u9706), _u9707) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9704), hAPP(_u9706, _u9707))) )).
% 12.54/12.78 cnf(matrix-5130, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9708, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9709, tc_fun(_u9708, tc_HOL_Obool)), _u9710), _u9711)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9709, tc_fun(_u9708, tc_HOL_Obool)), _u9710), hAPP(hAPP(c_COMBB(tc_fun(_u9708, tc_HOL_Obool), tc_fun(_u9708, tc_HOL_Obool), _u9709), c_Groups_Ouminus__class_Ouminus(tc_fun(_u9708, tc_HOL_Obool))), _u9711))) )).
% 12.54/12.78 cnf(matrix-5131, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9712, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9713, tc_fun(_u9712, tc_HOL_Obool)), _u9714), _u9715)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9713, tc_fun(_u9712, tc_HOL_Obool)), _u9714), hAPP(hAPP(c_COMBB(tc_fun(_u9712, tc_HOL_Obool), tc_fun(_u9712, tc_HOL_Obool), _u9713), c_Groups_Ouminus__class_Ouminus(tc_fun(_u9712, tc_HOL_Obool))), _u9715))) )).
% 12.54/12.78 cnf(matrix-5132, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9716) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9717, tc_fun(_u9718, _u9716)), _u9719), _u9720), _u9721) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9717, _u9716), _u9719), hAPP(hAPP(c_COMBC(_u9717, _u9718, _u9716), _u9720), _u9721))) )).
% 12.54/12.78 cnf(matrix-5133, plain, ( ~class_Fields_Ofield(_u9722) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9722), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9723, _u9722), _u9724), _u9725)), _u9726) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9723, _u9722), hAPP(hAPP(c_COMBC(_u9723, _u9722, _u9722), hAPP(hAPP(c_COMBB(_u9722, tc_fun(_u9722, _u9722), _u9723), c_Rings_Oinverse__class_Odivide(_u9722)), _u9724)), _u9726)), _u9725)) )).
% 12.54/12.78 cnf(matrix-5134, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u9727, _u9728, _u9729) | c_Finite__Set_Ofun__left__comm__idem(_u9730, _u9728, hAPP(hAPP(c_COMBB(_u9727, tc_fun(_u9728, _u9728), _u9730), _u9729), _u9731)) )).
% 12.54/12.78 cnf(matrix-5135, plain, ( ( hAPP(c_Set_OPow(_u9732), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9733, tc_fun(_u9732, tc_HOL_Obool)), _u9734), _u9735)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9733, tc_fun(tc_fun(_u9732, tc_HOL_Obool), tc_HOL_Obool)), _u9734), hAPP(hAPP(c_COMBB(tc_fun(_u9732, tc_HOL_Obool), tc_fun(tc_fun(_u9732, tc_HOL_Obool), tc_HOL_Obool), _u9733), c_Set_OPow(_u9732)), _u9735))) )).
% 12.54/12.78 cnf(matrix-5136, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u9736, tc_HOL_Obool), _u9737) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u9736, tc_HOL_Obool), tc_fun(_u9736, tc_HOL_Obool)), _u9737), c_COMBI(tc_fun(_u9736, tc_HOL_Obool)))) )).
% 12.54/12.78 cnf(matrix-5137, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9738) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9739, _u9738), _u9740), hAPP(hAPP(c_COMBB(tc_fun(_u9741, _u9738), _u9738, _u9739), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9741, _u9738), _u9742)), _u9743)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9741, _u9738), _u9742), hAPP(hAPP(c_COMBB(tc_fun(_u9739, _u9738), _u9738, _u9741), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9739, _u9738), _u9740)), hAPP(c_COMBC(_u9739, _u9741, _u9738), _u9743)))) )).
% 12.54/12.78 cnf(matrix-5138, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9744) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9745, tc_fun(_u9746, _u9744)), _u9747), _u9748), _u9749) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9745, _u9744), _u9747), hAPP(hAPP(c_COMBC(_u9745, _u9746, _u9744), _u9748), _u9749))) )).
% 12.54/12.78 cnf(matrix-5139, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9750, tc_fun(_u9751, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9750, tc_HOL_Obool), _u9752)), _u9753) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u9750, tc_HOL_Obool), tc_fun(_u9751, tc_HOL_Obool)), _u9752), hAPP(hAPP(c_COMBC(tc_fun(_u9750, tc_HOL_Obool), tc_fun(_u9750, tc_fun(_u9751, tc_HOL_Obool)), tc_fun(_u9751, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9750, tc_fun(_u9751, tc_HOL_Obool))), _u9753))) )).
% 12.54/12.78 cnf(matrix-5140, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u9754, tc_HOL_Obool), tc_fun(_u9755, tc_HOL_Obool)), _u9756), hAPP(hAPP(c_COMBC(tc_fun(_u9754, tc_HOL_Obool), tc_fun(_u9754, tc_fun(_u9755, tc_HOL_Obool)), tc_fun(_u9755, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9754, tc_fun(_u9755, tc_HOL_Obool))), _u9757)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9754, tc_fun(_u9755, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9754, tc_HOL_Obool), _u9756)), _u9757)) )).
% 12.54/12.78 cnf(matrix-5141, plain, ( ( c_Nitpick_Opair__box_OPairBox(_u9764, _u9766, _u9768, _u9770) != c_Nitpick_Opair__box_OPairBox(_u9764, _u9766, _u9772, _u9774)) | ( _u9768 = _u9772) )).
% 12.54/12.78 cnf(matrix-5142, plain, ( ( c_Nitpick_Opair__box_OPairBox(_u9764, _u9766, _u9768, _u9770) != c_Nitpick_Opair__box_OPairBox(_u9764, _u9766, _u9772, _u9774)) | ( _u9770 = _u9774) )).
% 12.54/12.78 cnf(matrix-5143, plain, ( ( _u9769 != _u9773) | ( _u9771 != _u9775) | ( c_Nitpick_Opair__box_OPairBox(_u9765, _u9767, _u9769, _u9771) = c_Nitpick_Opair__box_OPairBox(_u9765, _u9767, _u9773, _u9775)) )).
% 12.54/12.78 cnf(matrix-5144, plain, ( ~c_Finite__Set_Ofun__left__comm(_u9776, _u9777, _u9778) | c_Finite__Set_Ofun__left__comm(_u9779, _u9777, hAPP(hAPP(c_COMBB(_u9776, tc_fun(_u9777, _u9777), _u9779), _u9778), _u9780)) )).
% 12.54/12.78 cnf(matrix-5145, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9781, tc_HOL_Obool), _u9782) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9781, tc_HOL_Obool), tc_fun(_u9781, tc_HOL_Obool)), _u9782), c_COMBI(tc_fun(_u9781, tc_HOL_Obool)))) )).
% 12.54/12.78 cnf(matrix-5146, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9790, tc_fun(_u9792, tc_HOL_Obool)), _u9794), _u9796), _u9798)) | hBOOL(hAPP(hAPP(c_member(_u9790), skolem255(_u9798, _u9796, _u9794, _u9792, _u9790)), _u9794)) )).
% 12.54/12.78 cnf(matrix-5147, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9790, tc_fun(_u9792, tc_HOL_Obool)), _u9794), _u9796), _u9798)) | hBOOL(hAPP(hAPP(_u9796, skolem255(_u9798, _u9796, _u9794, _u9792, _u9790)), _u9798)) )).
% 12.54/12.78 cnf(matrix-5148, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9791), _u9784), _u9795)) | ~hBOOL(hAPP(hAPP(_u9797, _u9784), _u9799)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9791, tc_fun(_u9793, tc_HOL_Obool)), _u9795), _u9797), _u9799)) )).
% 12.54/12.78 cnf(matrix-5149, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9800, tc_fun(_u9801, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9802, tc_fun(_u9800, tc_HOL_Obool)), _u9803), _u9804)), _u9805) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9802, tc_fun(_u9801, tc_HOL_Obool)), _u9803), hAPP(hAPP(c_COMBC(_u9802, tc_fun(_u9800, tc_fun(_u9801, tc_HOL_Obool)), tc_fun(_u9801, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9800, tc_HOL_Obool), tc_fun(tc_fun(_u9800, tc_fun(_u9801, tc_HOL_Obool)), tc_fun(_u9801, tc_HOL_Obool)), _u9802), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9800, tc_fun(_u9801, tc_HOL_Obool))), _u9804)), _u9805))) )).
% 12.54/12.78 cnf(matrix-5150, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9806, tc_fun(_u9807, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9808, tc_fun(_u9806, tc_HOL_Obool)), _u9809), _u9810)), _u9811) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9808, tc_fun(_u9807, tc_HOL_Obool)), _u9809), hAPP(hAPP(c_COMBC(_u9808, tc_fun(_u9806, tc_fun(_u9807, tc_HOL_Obool)), tc_fun(_u9807, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9806, tc_HOL_Obool), tc_fun(tc_fun(_u9806, tc_fun(_u9807, tc_HOL_Obool)), tc_fun(_u9807, tc_HOL_Obool)), _u9808), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9806, tc_fun(_u9807, tc_HOL_Obool))), _u9810)), _u9811))) )).
% 12.54/12.78 cnf(matrix-5151, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9812, tc_fun(_u9813, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9814, tc_fun(_u9812, tc_HOL_Obool)), _u9815), _u9816)), _u9817) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9814, tc_fun(_u9813, tc_HOL_Obool)), _u9815), hAPP(hAPP(c_COMBC(_u9814, tc_fun(_u9812, tc_fun(_u9813, tc_HOL_Obool)), tc_fun(_u9813, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9812, tc_HOL_Obool), tc_fun(tc_fun(_u9812, tc_fun(_u9813, tc_HOL_Obool)), tc_fun(_u9813, tc_HOL_Obool)), _u9814), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9812, tc_fun(_u9813, tc_HOL_Obool))), _u9816)), _u9817))) )).
% 12.54/12.78 cnf(matrix-5152, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9818, tc_fun(_u9819, tc_HOL_Obool)), _u9820), hAPP(hAPP(c_COMBC(_u9818, tc_fun(_u9821, tc_fun(_u9819, tc_HOL_Obool)), tc_fun(_u9819, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9821, tc_HOL_Obool), tc_fun(tc_fun(_u9821, tc_fun(_u9819, tc_HOL_Obool)), tc_fun(_u9819, tc_HOL_Obool)), _u9818), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9821, tc_fun(_u9819, tc_HOL_Obool))), _u9822)), _u9823)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9821, tc_fun(_u9819, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9818, tc_fun(_u9821, tc_HOL_Obool)), _u9820), _u9822)), _u9823)) )).
% 12.54/12.78 cnf(matrix-5153, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9824, tc_fun(_u9825, tc_HOL_Obool)), _u9826), hAPP(hAPP(c_COMBC(_u9824, tc_fun(_u9827, tc_fun(_u9825, tc_HOL_Obool)), tc_fun(_u9825, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9827, tc_HOL_Obool), tc_fun(tc_fun(_u9827, tc_fun(_u9825, tc_HOL_Obool)), tc_fun(_u9825, tc_HOL_Obool)), _u9824), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9827, tc_fun(_u9825, tc_HOL_Obool))), _u9828)), _u9829)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9827, tc_fun(_u9825, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9824, tc_fun(_u9827, tc_HOL_Obool)), _u9826), _u9828)), _u9829)) )).
% 12.54/12.78 cnf(matrix-5154, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9830) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9831, _u9830), _u9832), hAPP(hAPP(c_COMBB(tc_fun(_u9833, _u9830), _u9830, _u9831), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9833, _u9830), _u9834)), _u9835)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9833, _u9830), _u9834), hAPP(hAPP(c_COMBB(tc_fun(_u9831, _u9830), _u9830, _u9833), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9831, _u9830), _u9832)), hAPP(c_COMBC(_u9831, _u9833, _u9830), _u9835)))) )).
% 12.54/12.78 cnf(matrix-5155, plain, ( ( _u9842 != _u9844) | ( hAPP(c_Fun_Ofun__upd(_u9846, _u9848, _u9850, _u9844, _u9852), _u9842) = _u9852) )).
% 12.54/12.78 cnf(matrix-5156, plain, ( ( _u9843 = _u9845) | ( hAPP(c_Fun_Ofun__upd(_u9847, _u9849, _u9851, _u9845, _u9853), _u9843) = hAPP(_u9851, _u9843)) )).
% 12.54/12.78 cnf(matrix-5157, plain, ( ~class_Groups_Ocomm__monoid__add(_u9854) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9855, _u9854), hAPP(hAPP(c_COMBC(_u9855, tc_fun(_u9856, tc_HOL_Obool), _u9854), hAPP(hAPP(c_COMBB(tc_fun(_u9856, _u9854), tc_fun(tc_fun(_u9856, tc_HOL_Obool), _u9854), _u9855), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9856, _u9854)), _u9857)), _u9858)), _u9859) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9856, _u9854), hAPP(hAPP(c_COMBC(_u9856, tc_fun(_u9855, tc_HOL_Obool), _u9854), hAPP(hAPP(c_COMBB(tc_fun(_u9855, _u9854), tc_fun(tc_fun(_u9855, tc_HOL_Obool), _u9854), _u9856), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9855, _u9854)), hAPP(c_COMBC(_u9855, _u9856, _u9854), _u9857))), _u9859)), _u9858)) )).
% 12.54/12.78 cnf(matrix-5158, plain, ( ( hAPP(c_Finite__Set_Ofold__image(_u9860, _u9861, _u9862), _u9863) = c_Finite__Set_Ofold(_u9861, _u9860, hAPP(hAPP(c_COMBB(_u9860, tc_fun(_u9860, _u9860), _u9861), _u9862), _u9863))) )).
% 12.54/12.78 cnf(matrix-5159, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9864, tc_HOL_Obool), tc_fun(_u9865, tc_HOL_Obool)), _u9866), hAPP(hAPP(c_COMBC(tc_fun(_u9864, tc_HOL_Obool), tc_fun(_u9864, tc_fun(_u9865, tc_HOL_Obool)), tc_fun(_u9865, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9864, tc_fun(_u9865, tc_HOL_Obool))), _u9867)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9864, tc_fun(_u9865, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9864, tc_HOL_Obool), _u9866)), _u9867)) )).
% 12.54/12.78 cnf(matrix-5160, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9868, tc_fun(_u9869, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9868, tc_HOL_Obool), _u9870)), _u9871) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9868, tc_HOL_Obool), tc_fun(_u9869, tc_HOL_Obool)), _u9870), hAPP(hAPP(c_COMBC(tc_fun(_u9868, tc_HOL_Obool), tc_fun(_u9868, tc_fun(_u9869, tc_HOL_Obool)), tc_fun(_u9869, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9868, tc_fun(_u9869, tc_HOL_Obool))), _u9871))) )).
% 12.54/12.78 cnf(matrix-5161, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9872, tc_Nat_Onat), _u9873), _u9874)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9872, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u9872), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u9873)), _u9874)) )).
% 12.54/12.78 cnf(matrix-5162, plain, ( ~class_Rings_Oring__1(_u9875) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9875), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9876, tc_Int_Oint), _u9877), _u9878)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9876, _u9875), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u9875, _u9876), c_Int_Oring__1__class_Oof__int(_u9875)), _u9877)), _u9878)) )).
% 12.54/12.78 cnf(matrix-5163, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9879) | ~class_Rings_Oring__1(_u9879) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9879), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9880, tc_Int_Oint), _u9881), _u9882)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9880, _u9879), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u9879, _u9880), c_Int_Oring__1__class_Oof__int(_u9879)), _u9881)), _u9882)) )).
% 12.54/12.78 cnf(matrix-5164, plain, ( ~class_Fields_Ofield__inverse__zero(_u9883) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9884), _u9885)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9884, _u9883), hAPP(hAPP(c_COMBS(_u9884, _u9883, _u9883), hAPP(hAPP(c_COMBB(_u9883, tc_fun(_u9883, _u9883), _u9884), c_Rings_Oinverse__class_Odivide(_u9883)), _u9886)), _u9887)), _u9885) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9883), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9884, _u9883), _u9886), _u9885)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9884, _u9883), _u9887), _u9885))) )).
% 12.54/12.78 cnf(matrix-5165, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u9888, tc_HOL_Obool)), _u9889) = hAPP(c_Set_OCollect(_u9888), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9888), c_fNot), hAPP(hAPP(c_COMBC(_u9888, tc_fun(_u9888, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9888)), _u9889)))) )).
% 12.54/12.78 cnf(matrix-5166, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9890) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9891), _u9892)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9891, _u9890), hAPP(hAPP(c_COMBS(_u9891, _u9890, _u9890), hAPP(hAPP(c_COMBB(_u9890, tc_fun(_u9890, _u9890), _u9891), c_Groups_Otimes__class_Otimes(_u9890)), _u9893)), _u9894)), _u9892) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9890), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9891, _u9890), _u9893), _u9892)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9891, _u9890), _u9894), _u9892))) )).
% 12.54/12.78 cnf(matrix-5167, plain, ( ( _u9900 != c_Orderings_Obot__class_Obot(tc_fun(_u9902, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u9904), _u9906), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9902, tc_fun(_u9904, tc_HOL_Obool)), _u9900), _u9908)) = hAPP(hAPP(c_Set_Oinsert(_u9904), _u9906), c_Orderings_Obot__class_Obot(tc_fun(_u9904, tc_HOL_Obool)))) )).
% 12.54/12.78 cnf(matrix-5168, plain, ( ( _u9901 = c_Orderings_Obot__class_Obot(tc_fun(_u9903, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u9905), _u9907), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9903, tc_fun(_u9905, tc_HOL_Obool)), _u9901), _u9909)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9903, tc_fun(_u9905, tc_HOL_Obool)), _u9901), hAPP(hAPP(c_COMBB(tc_fun(_u9905, tc_HOL_Obool), tc_fun(_u9905, tc_HOL_Obool), _u9903), hAPP(c_Set_Oinsert(_u9905), _u9907)), _u9909))) )).
% 12.54/12.78 cnf(matrix-5169, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9910, tc_fun(_u9910, tc_HOL_Obool)), _u9911), hAPP(hAPP(c_COMBC(_u9910, tc_fun(_u9910, tc_HOL_Obool), tc_fun(_u9910, tc_HOL_Obool)), c_Set_Oinsert(_u9910)), c_Orderings_Obot__class_Obot(tc_fun(_u9910, tc_HOL_Obool)))) = _u9911) )).
% 12.54/12.78 cnf(matrix-5170, plain, ( ( _u9917 != c_Orderings_Obot__class_Obot(tc_fun(_u9919, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9919, tc_fun(_u9921, tc_HOL_Obool)), _u9917), hAPP(hAPP(c_COMBB(tc_fun(_u9921, tc_HOL_Obool), tc_fun(_u9921, tc_HOL_Obool), _u9919), hAPP(c_Set_Oinsert(_u9921), _u9923)), _u9925)) = c_Orderings_Obot__class_Obot(tc_fun(_u9921, tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-5171, plain, ( ( _u9918 = c_Orderings_Obot__class_Obot(tc_fun(_u9920, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9920, tc_fun(_u9922, tc_HOL_Obool)), _u9918), hAPP(hAPP(c_COMBB(tc_fun(_u9922, tc_HOL_Obool), tc_fun(_u9922, tc_HOL_Obool), _u9920), hAPP(c_Set_Oinsert(_u9922), _u9924)), _u9926)) = hAPP(hAPP(c_Set_Oinsert(_u9922), _u9924), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9920, tc_fun(_u9922, tc_HOL_Obool)), _u9918), _u9926))) )).
% 12.54/12.78 cnf(matrix-5172, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OatMost(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-5173, plain, ( ( _u9931 != c_Orderings_Obot__class_Obot(tc_fun(_u9933, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9933, tc_fun(_u9935, tc_HOL_Obool)), _u9931), hAPP(c_COMBK(tc_fun(_u9935, tc_HOL_Obool), _u9933), _u9937)) = c_Orderings_Otop__class_Otop(tc_fun(_u9935, tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-5174, plain, ( ( _u9932 = c_Orderings_Obot__class_Obot(tc_fun(_u9934, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9934, tc_fun(_u9936, tc_HOL_Obool)), _u9932), hAPP(c_COMBK(tc_fun(_u9936, tc_HOL_Obool), _u9934), _u9938)) = _u9938) )).
% 12.54/12.78 cnf(matrix-5175, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9939, tc_fun(_u9940, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u9939, tc_HOL_Obool))), _u9941) = c_Orderings_Otop__class_Otop(tc_fun(_u9940, tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-5176, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u9948, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9950, tc_fun(_u9948, tc_HOL_Obool)), _u9952), _u9954)) | ~hBOOL(hAPP(hAPP(c_member(_u9950), _u9942), _u9952)) | ( hAPP(_u9954, _u9942) = c_Orderings_Otop__class_Otop(tc_fun(_u9948, tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-5177, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u9949, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9951, tc_fun(_u9949, tc_HOL_Obool)), _u9953), _u9955)) | hBOOL(hAPP(hAPP(c_member(_u9951), skolem256(_u9955, _u9953, _u9951, _u9949)), _u9953)) )).
% 12.54/12.78 cnf(matrix-5178, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u9949, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9951, tc_fun(_u9949, tc_HOL_Obool)), _u9953), _u9955)) | ( hAPP(_u9955, skolem256(_u9955, _u9953, _u9951, _u9949)) != c_Orderings_Otop__class_Otop(tc_fun(_u9949, tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-5179, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9962, tc_fun(_u9964, tc_HOL_Obool)), _u9966), _u9968) != c_Orderings_Otop__class_Otop(tc_fun(_u9964, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9962), _u9956), _u9966)) | ( hAPP(_u9968, _u9956) = c_Orderings_Otop__class_Otop(tc_fun(_u9964, tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-5180, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9963, tc_fun(_u9965, tc_HOL_Obool)), _u9967), _u9969) = c_Orderings_Otop__class_Otop(tc_fun(_u9965, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u9963), skolem257(_u9969, _u9967, _u9965, _u9963)), _u9967)) )).
% 12.54/12.78 cnf(matrix-5181, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9963, tc_fun(_u9965, tc_HOL_Obool)), _u9967), _u9969) = c_Orderings_Otop__class_Otop(tc_fun(_u9965, tc_HOL_Obool))) | ( hAPP(_u9969, skolem257(_u9969, _u9967, _u9965, _u9963)) != c_Orderings_Otop__class_Otop(tc_fun(_u9965, tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-5182, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u9970, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u9970), hAPP(c_COMBK(tc_HOL_Obool, _u9970), c_fTrue))) )).
% 12.54/12.78 cnf(matrix-5183, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9971) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9972, _u9971), hAPP(c_COMBK(_u9971, _u9972), c_Groups_Oone__class_Oone(_u9971))), _u9973) = c_Groups_Oone__class_Oone(_u9971)) )).
% 12.54/12.78 cnf(matrix-5184, plain, ( ~class_Groups_Ocomm__monoid__add(_u9974) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9975, _u9974), hAPP(c_COMBK(_u9974, _u9975), c_Groups_Ozero__class_Ozero(_u9974))), _u9976) = c_Groups_Ozero__class_Ozero(_u9974)) )).
% 12.54/12.78 cnf(matrix-5185, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-5186, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_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)) | hBOOL(hAPP(hAPP(c_member(_u9983), _u9987), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9981, tc_fun(_u9983, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9981, tc_HOL_Obool))), _u9985))) )).
% 12.54/12.78 cnf(matrix-5187, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9984), _u9988), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9982, tc_fun(_u9984, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9982, tc_HOL_Obool))), _u9986))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9982, tc_fun(_u9984, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9982, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9984, tc_HOL_Obool), tc_fun(_u9984, tc_HOL_Obool), _u9982), hAPP(c_COMBC(_u9984, tc_fun(_u9984, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9984))), _u9986)), _u9988)) )).
% 12.54/12.78 cnf(matrix-5188, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9995, tc_fun(_u9997, tc_fun(_u9999, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u9995, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u9997, _u9999), tc_HOL_Obool), tc_fun(_u9997, tc_fun(_u9999, tc_HOL_Obool)), _u9995), hAPP(c_COMBC(_u9997, tc_fun(tc_prod(_u9997, _u9999), tc_HOL_Obool), tc_fun(_u9999, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9999, tc_fun(tc_fun(tc_prod(_u9997, _u9999), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9997, _u9999), tc_HOL_Obool), tc_fun(_u9999, tc_HOL_Obool)), _u9997), c_COMBC(_u9999, tc_fun(tc_prod(_u9997, _u9999), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9999, tc_prod(_u9997, _u9999)), tc_fun(_u9999, tc_fun(tc_fun(tc_prod(_u9997, _u9999), tc_HOL_Obool), tc_HOL_Obool)), _u9997), hAPP(c_COMBB(tc_prod(_u9997, _u9999), tc_fun(tc_fun(tc_prod(_u9997, _u9999), tc_HOL_Obool), tc_HOL_Obool), _u9999), c_member(tc_prod(_u9997, _u9999)))), c_Product__Type_OPair(_u9997, _u9999))))), _u10001)), _u10003), _u10005)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u9997, _u9999)), hAPP(hAPP(c_Product__Type_OPair(_u9997, _u9999), _u10003), _u10005)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9995, tc_fun(tc_prod(_u9997, _u9999), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9995, tc_HOL_Obool))), _u10001))) )).
% 12.54/12.78 cnf(matrix-5189, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9998, _u10000)), hAPP(hAPP(c_Product__Type_OPair(_u9998, _u10000), _u10004), _u10006)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9996, tc_fun(tc_prod(_u9998, _u10000), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9996, tc_HOL_Obool))), _u10002))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9996, tc_fun(_u9998, tc_fun(_u10000, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u9996, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u9998, _u10000), tc_HOL_Obool), tc_fun(_u9998, tc_fun(_u10000, tc_HOL_Obool)), _u9996), hAPP(c_COMBC(_u9998, tc_fun(tc_prod(_u9998, _u10000), tc_HOL_Obool), tc_fun(_u10000, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10000, tc_fun(tc_fun(tc_prod(_u9998, _u10000), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9998, _u10000), tc_HOL_Obool), tc_fun(_u10000, tc_HOL_Obool)), _u9998), c_COMBC(_u10000, tc_fun(tc_prod(_u9998, _u10000), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10000, tc_prod(_u9998, _u10000)), tc_fun(_u10000, tc_fun(tc_fun(tc_prod(_u9998, _u10000), tc_HOL_Obool), tc_HOL_Obool)), _u9998), hAPP(c_COMBB(tc_prod(_u9998, _u10000), tc_fun(tc_fun(tc_prod(_u9998, _u10000), tc_HOL_Obool), tc_HOL_Obool), _u10000), c_member(tc_prod(_u9998, _u10000)))), c_Product__Type_OPair(_u9998, _u10000))))), _u10002)), _u10004), _u10006)) )).
% 12.54/12.78 cnf(matrix-5190, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10013, tc_fun(_u10015, tc_fun(_u10017, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u10013, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u10015, _u10017), tc_HOL_Obool), tc_fun(_u10015, tc_fun(_u10017, tc_HOL_Obool)), _u10013), hAPP(c_COMBC(_u10015, tc_fun(tc_prod(_u10015, _u10017), tc_HOL_Obool), tc_fun(_u10017, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10017, tc_fun(tc_fun(tc_prod(_u10015, _u10017), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10015, _u10017), tc_HOL_Obool), tc_fun(_u10017, tc_HOL_Obool)), _u10015), c_COMBC(_u10017, tc_fun(tc_prod(_u10015, _u10017), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10017, tc_prod(_u10015, _u10017)), tc_fun(_u10017, tc_fun(tc_fun(tc_prod(_u10015, _u10017), tc_HOL_Obool), tc_HOL_Obool)), _u10015), hAPP(c_COMBB(tc_prod(_u10015, _u10017), tc_fun(tc_fun(tc_prod(_u10015, _u10017), tc_HOL_Obool), tc_HOL_Obool), _u10017), c_member(tc_prod(_u10015, _u10017)))), c_Product__Type_OPair(_u10015, _u10017))))), _u10019)), _u10021), _u10023)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10015, _u10017)), hAPP(hAPP(c_Product__Type_OPair(_u10015, _u10017), _u10021), _u10023)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10013, tc_fun(tc_prod(_u10015, _u10017), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u10013, tc_HOL_Obool))), _u10019))) )).
% 12.54/12.78 cnf(matrix-5191, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10016, _u10018)), hAPP(hAPP(c_Product__Type_OPair(_u10016, _u10018), _u10022), _u10024)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10014, tc_fun(tc_prod(_u10016, _u10018), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u10014, tc_HOL_Obool))), _u10020))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10014, tc_fun(_u10016, tc_fun(_u10018, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u10014, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u10016, _u10018), tc_HOL_Obool), tc_fun(_u10016, tc_fun(_u10018, tc_HOL_Obool)), _u10014), hAPP(c_COMBC(_u10016, tc_fun(tc_prod(_u10016, _u10018), tc_HOL_Obool), tc_fun(_u10018, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10018, tc_fun(tc_fun(tc_prod(_u10016, _u10018), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10016, _u10018), tc_HOL_Obool), tc_fun(_u10018, tc_HOL_Obool)), _u10016), c_COMBC(_u10018, tc_fun(tc_prod(_u10016, _u10018), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10018, tc_prod(_u10016, _u10018)), tc_fun(_u10018, tc_fun(tc_fun(tc_prod(_u10016, _u10018), tc_HOL_Obool), tc_HOL_Obool)), _u10016), hAPP(c_COMBB(tc_prod(_u10016, _u10018), tc_fun(tc_fun(tc_prod(_u10016, _u10018), tc_HOL_Obool), tc_HOL_Obool), _u10018), c_member(tc_prod(_u10016, _u10018)))), c_Product__Type_OPair(_u10016, _u10018))))), _u10020)), _u10022), _u10024)) )).
% 12.54/12.78 cnf(matrix-5192, plain, ( ( hAPP(c_Set_Oimage(_u10025, _u10026, hAPP(hAPP(c_COMBB(_u10027, _u10026, _u10025), _u10028), _u10029)), c_Orderings_Otop__class_Otop(tc_fun(_u10025, tc_HOL_Obool))) = hAPP(c_Set_Oimage(_u10027, _u10026, _u10028), hAPP(c_Set_Oimage(_u10025, _u10027, _u10029), c_Orderings_Otop__class_Otop(tc_fun(_u10025, tc_HOL_Obool))))) )).
% 12.54/12.78 cnf(matrix-5193, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-5194, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10030), hAPP(c_Set_Oimage(_u10031, _u10030, _u10032), c_Orderings_Otop__class_Otop(tc_fun(_u10031, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10033), hAPP(c_Set_Oimage(_u10031, _u10033, hAPP(hAPP(c_COMBB(_u10030, _u10033, _u10031), _u10034), _u10032)), c_Orderings_Otop__class_Otop(tc_fun(_u10031, tc_HOL_Obool))))) )).
% 12.54/12.78 cnf(matrix-5195, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10039, tc_fun(_u10041, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u10039, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u10041, tc_HOL_Obool), tc_fun(_u10041, tc_HOL_Obool), _u10039), hAPP(c_COMBC(_u10041, tc_fun(_u10041, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10041))), _u10043)), _u10045)) | hBOOL(hAPP(hAPP(c_member(_u10041), _u10045), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10039, tc_fun(_u10041, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u10039, tc_HOL_Obool))), _u10043))) )).
% 12.54/12.78 cnf(matrix-5196, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10042), _u10046), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10040, tc_fun(_u10042, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u10040, tc_HOL_Obool))), _u10044))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10040, tc_fun(_u10042, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u10040, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u10042, tc_HOL_Obool), tc_fun(_u10042, tc_HOL_Obool), _u10040), hAPP(c_COMBC(_u10042, tc_fun(_u10042, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10042))), _u10044)), _u10046)) )).
% 12.54/12.78 cnf(matrix-5197, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10047), hAPP(c_Set_OCollect(_u10047), _u10048))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10047), hAPP(c_Set_OCollect(_u10047), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u10047), c_fNot), _u10048)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10047), c_Orderings_Otop__class_Otop(tc_fun(_u10047, tc_HOL_Obool)))) )).
% 12.54/12.78 cnf(matrix-5198, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10047), hAPP(c_Set_OCollect(_u10047), _u10048))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10047), c_Orderings_Otop__class_Otop(tc_fun(_u10047, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10047), hAPP(c_Set_OCollect(_u10047), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u10047), c_fNot), _u10048)))) )).
% 12.54/12.78 cnf(matrix-5199, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10049, tc_Nat_Onat), _u10050), _u10051) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10049, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u10049), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10050)), _u10051))) )).
% 12.54/12.78 cnf(matrix-5200, plain, ( ~class_Groups_Ocomm__monoid__add(_u10052) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10052), _u10053), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10054)), hAPP(c_Nat_OSuc, _u10055))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10052), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10052, tc_Nat_Onat), _u10053), c_Nat_OSuc)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10054), _u10055))) )).
% 12.54/12.78 cnf(matrix-5201, plain, ( ~class_Rings_Osemiring__1(_u10056) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10056), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10057, tc_Nat_Onat), _u10058), _u10059)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10057, _u10056), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10056, _u10057), c_Nat_Osemiring__1__class_Oof__nat(_u10056)), _u10058)), _u10059)) )).
% 12.54/12.78 cnf(matrix-5202, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10060, tc_fun(_u10061, tc_HOL_Obool)), _u10062), hAPP(hAPP(c_COMBS(_u10060, tc_fun(_u10061, tc_HOL_Obool), tc_fun(_u10061, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10061, tc_HOL_Obool), tc_fun(tc_fun(_u10061, tc_HOL_Obool), tc_fun(_u10061, tc_HOL_Obool)), _u10060), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10061, tc_HOL_Obool))), _u10063)), _u10064)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10061, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u10061, tc_HOL_Obool), hAPP(c_Set_Oimage(_u10060, tc_fun(_u10061, tc_HOL_Obool), _u10063), _u10062))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u10061, tc_HOL_Obool), hAPP(c_Set_Oimage(_u10060, tc_fun(_u10061, tc_HOL_Obool), _u10064), _u10062)))) )).
% 12.54/12.78 cnf(matrix-5203, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10065, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10066)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u10065, tc_HOL_Obool), tc_Nat_Onat), _u10067), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u10068))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10065, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10068, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10066), _u10068))), _u10067)) )).
% 12.54/12.78 cnf(matrix-5204, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u10069, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10070, tc_fun(tc_fun(_u10069, tc_HOL_Obool), tc_HOL_Obool)), _u10071), hAPP(hAPP(c_COMBB(tc_fun(_u10069, tc_HOL_Obool), tc_fun(tc_fun(_u10069, tc_HOL_Obool), tc_HOL_Obool), _u10070), c_Set_OPow(_u10069)), _u10072))), hAPP(c_Set_OPow(_u10069), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10070, tc_fun(_u10069, tc_HOL_Obool)), _u10071), _u10072)))) )).
% 12.54/12.78 cnf(matrix-5205, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10073) | ~class_Rings_Osemiring__1(_u10073) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10073), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10074, tc_Nat_Onat), _u10075), _u10076)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10074, _u10073), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10073, _u10074), c_Nat_Osemiring__1__class_Oof__nat(_u10073)), _u10075)), _u10076)) )).
% 12.54/12.78 cnf(matrix-5206, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10077, tc_Nat_Onat), _u10078), _u10079) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10077, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u10077), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10078)), _u10079))) )).
% 12.54/12.78 cnf(matrix-5207, 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)), _u10080)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10081), _u10082)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10081), _u10080)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10082), _u10080))) )).
% 12.54/12.78 cnf(matrix-5208, 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)), _u10083)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10084, _u10085)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10084), _u10083), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10085), _u10083))) )).
% 12.54/12.78 cnf(matrix-5209, plain, ( ~class_Groups_Ocomm__monoid__add(_u10086) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10087), _u10088)) | ~hBOOL(hAPP(hAPP(c_member(_u10087), _u10089), _u10088)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10087, _u10086), hAPP(hAPP(c_COMBC(_u10087, _u10086, _u10086), hAPP(hAPP(c_COMBS(_u10087, _u10086, tc_fun(_u10086, _u10086)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10086, tc_fun(_u10086, _u10086)), _u10087), c_If(_u10086)), hAPP(c_fequal, _u10089))), _u10090)), c_Groups_Ozero__class_Ozero(_u10086))), _u10088) = hAPP(_u10090, _u10089)) )).
% 12.54/12.78 cnf(matrix-5210, plain, ( ~class_Groups_Ocomm__monoid__add(_u10086) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10087), _u10088)) | hBOOL(hAPP(hAPP(c_member(_u10087), _u10089), _u10088)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10087, _u10086), hAPP(hAPP(c_COMBC(_u10087, _u10086, _u10086), hAPP(hAPP(c_COMBS(_u10087, _u10086, tc_fun(_u10086, _u10086)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10086, tc_fun(_u10086, _u10086)), _u10087), c_If(_u10086)), hAPP(c_fequal, _u10089))), _u10090)), c_Groups_Ozero__class_Ozero(_u10086))), _u10088) = c_Groups_Ozero__class_Ozero(_u10086)) )).
% 12.54/12.78 cnf(matrix-5211, plain, ( ~class_Groups_Ocomm__monoid__add(_u10091) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10092), _u10093)) | ~hBOOL(hAPP(hAPP(c_member(_u10092), _u10094), _u10093)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10092, _u10091), hAPP(hAPP(c_COMBC(_u10092, _u10091, _u10091), hAPP(hAPP(c_COMBS(_u10092, _u10091, tc_fun(_u10091, _u10091)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10091, tc_fun(_u10091, _u10091)), _u10092), c_If(_u10091)), hAPP(hAPP(c_COMBC(_u10092, _u10092, tc_HOL_Obool), c_fequal), _u10094))), _u10095)), c_Groups_Ozero__class_Ozero(_u10091))), _u10093) = hAPP(_u10095, _u10094)) )).
% 12.54/12.78 cnf(matrix-5212, plain, ( ~class_Groups_Ocomm__monoid__add(_u10091) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10092), _u10093)) | hBOOL(hAPP(hAPP(c_member(_u10092), _u10094), _u10093)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10092, _u10091), hAPP(hAPP(c_COMBC(_u10092, _u10091, _u10091), hAPP(hAPP(c_COMBS(_u10092, _u10091, tc_fun(_u10091, _u10091)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10091, tc_fun(_u10091, _u10091)), _u10092), c_If(_u10091)), hAPP(hAPP(c_COMBC(_u10092, _u10092, tc_HOL_Obool), c_fequal), _u10094))), _u10095)), c_Groups_Ozero__class_Ozero(_u10091))), _u10093) = c_Groups_Ozero__class_Ozero(_u10091)) )).
% 12.54/12.78 cnf(matrix-5213, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10096), _u10097), _u10098)) | ( hAPP(c_Set_Oimage(_u10096, _u10099, hAPP(c_COMBK(_u10099, _u10096), _u10100)), _u10098) = hAPP(hAPP(c_Set_Oinsert(_u10099), _u10100), c_Orderings_Obot__class_Obot(tc_fun(_u10099, tc_HOL_Obool)))) )).
% 12.54/12.78 cnf(matrix-5214, plain, ( ~class_Groups_Ocomm__monoid__add(_u10101) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10102), _u10103)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10104), _u10105)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10102, _u10101), hAPP(hAPP(c_COMBS(_u10102, tc_fun(_u10104, tc_HOL_Obool), _u10101), hAPP(hAPP(c_COMBB(tc_fun(_u10104, _u10101), tc_fun(tc_fun(_u10104, tc_HOL_Obool), _u10101), _u10102), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10104, _u10101)), _u10106)), hAPP(hAPP(c_COMBB(tc_fun(_u10104, tc_HOL_Obool), tc_fun(_u10104, tc_HOL_Obool), _u10102), c_Set_OCollect(_u10104)), hAPP(hAPP(c_COMBB(tc_fun(_u10104, tc_HOL_Obool), tc_fun(_u10104, tc_HOL_Obool), _u10102), hAPP(c_COMBS(_u10104, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10104), c_fconj), hAPP(hAPP(c_COMBC(_u10104, tc_fun(_u10104, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10104)), _u10105)))), _u10107)))), _u10103) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10104, _u10101), hAPP(hAPP(c_COMBS(_u10104, tc_fun(_u10102, tc_HOL_Obool), _u10101), hAPP(hAPP(c_COMBB(tc_fun(_u10102, _u10101), tc_fun(tc_fun(_u10102, tc_HOL_Obool), _u10101), _u10104), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10102, _u10101)), hAPP(c_COMBC(_u10102, _u10104, _u10101), _u10106))), hAPP(hAPP(c_COMBB(tc_fun(_u10102, tc_HOL_Obool), tc_fun(_u10102, tc_HOL_Obool), _u10104), c_Set_OCollect(_u10102)), hAPP(hAPP(c_COMBB(tc_fun(_u10102, tc_HOL_Obool), tc_fun(_u10102, tc_HOL_Obool), _u10104), hAPP(c_COMBS(_u10102, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10102), c_fconj), hAPP(hAPP(c_COMBC(_u10102, tc_fun(_u10102, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10102)), _u10103)))), hAPP(c_COMBC(_u10102, _u10104, tc_HOL_Obool), _u10107))))), _u10105)) )).
% 12.54/12.78 cnf(matrix-5215, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-5216, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10108) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10109), _u10110)) | ~hBOOL(hAPP(hAPP(c_member(_u10109), _u10111), _u10110)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10109, _u10108), hAPP(hAPP(c_COMBC(_u10109, _u10108, _u10108), hAPP(hAPP(c_COMBS(_u10109, _u10108, tc_fun(_u10108, _u10108)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10108, tc_fun(_u10108, _u10108)), _u10109), c_If(_u10108)), hAPP(c_fequal, _u10111))), _u10112)), c_Groups_Oone__class_Oone(_u10108))), _u10110) = hAPP(_u10112, _u10111)) )).
% 12.54/12.78 cnf(matrix-5217, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10108) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10109), _u10110)) | hBOOL(hAPP(hAPP(c_member(_u10109), _u10111), _u10110)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10109, _u10108), hAPP(hAPP(c_COMBC(_u10109, _u10108, _u10108), hAPP(hAPP(c_COMBS(_u10109, _u10108, tc_fun(_u10108, _u10108)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10108, tc_fun(_u10108, _u10108)), _u10109), c_If(_u10108)), hAPP(c_fequal, _u10111))), _u10112)), c_Groups_Oone__class_Oone(_u10108))), _u10110) = c_Groups_Oone__class_Oone(_u10108)) )).
% 12.54/12.78 cnf(matrix-5218, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10113) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10114), _u10115)) | ~hBOOL(hAPP(hAPP(c_member(_u10114), _u10116), _u10115)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10114, _u10113), hAPP(hAPP(c_COMBC(_u10114, _u10113, _u10113), hAPP(hAPP(c_COMBS(_u10114, _u10113, tc_fun(_u10113, _u10113)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10113, tc_fun(_u10113, _u10113)), _u10114), c_If(_u10113)), hAPP(hAPP(c_COMBC(_u10114, _u10114, tc_HOL_Obool), c_fequal), _u10116))), _u10117)), c_Groups_Oone__class_Oone(_u10113))), _u10115) = hAPP(_u10117, _u10116)) )).
% 12.54/12.78 cnf(matrix-5219, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10113) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10114), _u10115)) | hBOOL(hAPP(hAPP(c_member(_u10114), _u10116), _u10115)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10114, _u10113), hAPP(hAPP(c_COMBC(_u10114, _u10113, _u10113), hAPP(hAPP(c_COMBS(_u10114, _u10113, tc_fun(_u10113, _u10113)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10113, tc_fun(_u10113, _u10113)), _u10114), c_If(_u10113)), hAPP(hAPP(c_COMBC(_u10114, _u10114, tc_HOL_Obool), c_fequal), _u10116))), _u10117)), c_Groups_Oone__class_Oone(_u10113))), _u10115) = c_Groups_Oone__class_Oone(_u10113)) )).
% 12.54/12.78 cnf(matrix-5220, plain, ( ( hAPP(c_Set_Oimage(_u10118, _u10119, _u10120), _u10121) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10118, tc_fun(_u10119, tc_HOL_Obool)), _u10121), hAPP(hAPP(c_COMBC(_u10118, tc_fun(_u10119, tc_HOL_Obool), tc_fun(_u10119, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u10119, tc_fun(tc_fun(_u10119, tc_HOL_Obool), tc_fun(_u10119, tc_HOL_Obool)), _u10118), c_Set_Oinsert(_u10119)), _u10120)), c_Orderings_Obot__class_Obot(tc_fun(_u10119, tc_HOL_Obool))))) )).
% 12.54/12.78 cnf(matrix-5221, plain, ( ( hAPP(c_Set_Oimage(_u10122, _u10123, hAPP(hAPP(c_COMBS(_u10122, _u10123, _u10123), hAPP(hAPP(c_COMBS(_u10122, _u10123, tc_fun(_u10123, _u10123)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10123, tc_fun(_u10123, _u10123)), _u10122), c_If(_u10123)), _u10124)), _u10125)), _u10126)), _u10127) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10123, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10122, _u10123, _u10125), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10122, tc_HOL_Obool)), _u10127), hAPP(c_Set_OCollect(_u10122), _u10124)))), hAPP(c_Set_Oimage(_u10122, _u10123, _u10126), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10122, tc_HOL_Obool)), _u10127), hAPP(c_Set_OCollect(_u10122), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u10122), c_fNot), _u10124)))))) )).
% 12.54/12.78 cnf(matrix-5222, plain, ( ( _u10133 != c_Orderings_Obot__class_Obot(tc_fun(_u10135, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10135, tc_fun(_u10137, tc_HOL_Obool)), _u10133), hAPP(hAPP(c_COMBB(tc_fun(_u10137, tc_HOL_Obool), tc_fun(_u10137, tc_HOL_Obool), _u10135), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10137, tc_HOL_Obool)), _u10139)), _u10141)) = c_Orderings_Otop__class_Otop(tc_fun(_u10137, tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-5223, plain, ( ( _u10134 = c_Orderings_Obot__class_Obot(tc_fun(_u10136, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10136, tc_fun(_u10138, tc_HOL_Obool)), _u10134), hAPP(hAPP(c_COMBB(tc_fun(_u10138, tc_HOL_Obool), tc_fun(_u10138, tc_HOL_Obool), _u10136), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10138, tc_HOL_Obool)), _u10140)), _u10142)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10138, tc_HOL_Obool)), _u10140), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10136, tc_fun(_u10138, tc_HOL_Obool)), _u10134), _u10142))) )).
% 12.54/12.78 cnf(matrix-5224, plain, ( ~class_Rings_Osemiring__1(_u10143) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10144, _u10143), hAPP(c_COMBK(_u10143, _u10144), _u10145)), _u10146) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10143), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10143), hAPP(c_Finite__Set_Ocard(_u10144), _u10146))), _u10145)) )).
% 12.54/12.78 cnf(matrix-5225, plain, ( ~class_Int_Onumber__ring(_u10147) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10147), _u10148), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u10149))) = hAPP(hAPP(c_HOL_OLet(_u10147, _u10147), hAPP(hAPP(c_Power_Opower__class_Opower(_u10147), _u10148), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10149))), hAPP(hAPP(c_COMBS(_u10147, _u10147, _u10147), c_Groups_Otimes__class_Otimes(_u10147)), c_COMBI(_u10147)))) )).
% 12.54/12.78 cnf(matrix-5226, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10150) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10151), _u10152)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10150, _u10151, c_Groups_Otimes__class_Otimes(_u10150)), hAPP(hAPP(c_COMBS(_u10151, _u10150, _u10150), hAPP(hAPP(c_COMBB(_u10150, tc_fun(_u10150, _u10150), _u10151), c_Groups_Otimes__class_Otimes(_u10150)), _u10153)), _u10154)), c_Groups_Oone__class_Oone(_u10150)), _u10152) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10150), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10150, _u10151, c_Groups_Otimes__class_Otimes(_u10150)), _u10153), c_Groups_Oone__class_Oone(_u10150)), _u10152)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10150, _u10151, c_Groups_Otimes__class_Otimes(_u10150)), _u10154), c_Groups_Oone__class_Oone(_u10150)), _u10152))) )).
% 12.54/12.78 cnf(matrix-5227, plain, ( ~class_Orderings_Olinorder(_u10155) | ( c_Orderings_Oord_Omax(_u10155, hAPP(c_COMBC(_u10155, _u10155, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u10155))) = c_Orderings_Oord__class_Omin(_u10155)) )).
% 12.54/12.78 cnf(matrix-5228, plain, ( ~class_Orderings_Olinorder(_u10156) | ( c_Orderings_Oord_Omin(_u10156, hAPP(c_COMBC(_u10156, _u10156, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u10156))) = c_Orderings_Oord__class_Omax(_u10156)) )).
% 12.54/12.78 cnf(matrix-5229, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10157) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10158), _u10159)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10158, _u10157), hAPP(c_COMBK(_u10157, _u10158), _u10160)), _u10159) = hAPP(hAPP(c_Power_Opower__class_Opower(_u10157), _u10160), hAPP(c_Finite__Set_Ocard(_u10158), _u10159))) )).
% 12.54/12.78 cnf(matrix-5230, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10161) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10162), _u10163)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10161), _u10164), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10162, _u10161), _u10163), _u10165)) = hAPP(hAPP(c_Finite__Set_Ofold(_u10162, _u10161, hAPP(hAPP(c_COMBB(_u10161, tc_fun(_u10161, _u10161), _u10162), c_Lattices_Osemilattice__sup__class_Osup(_u10161)), _u10165)), _u10164), _u10163)) )).
% 12.54/12.78 cnf(matrix-5231, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10166) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10167), _u10168)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u10166), _u10169), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10167, _u10166), _u10168), _u10170)) = hAPP(hAPP(c_Finite__Set_Ofold(_u10167, _u10166, hAPP(hAPP(c_COMBB(_u10166, tc_fun(_u10166, _u10166), _u10167), c_Lattices_Osemilattice__inf__class_Oinf(_u10166)), _u10170)), _u10169), _u10168)) )).
% 12.54/12.78 cnf(matrix-5232, 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)))), _u10171)) = 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), _u10171), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))))) )).
% 12.54/12.78 cnf(matrix-5233, plain, ( ( hAPP(c_Set_OCollect(tc_Nat_Onat), _u10172) = 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), _u10172), c_Int_Onat))))) )).
% 12.54/12.78 cnf(matrix-5234, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10173), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u10174))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10173), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10174))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), c_Groups_Otimes__class_Otimes(tc_Int_Oint)), c_COMBI(tc_Int_Oint)))) )).
% 12.54/12.78 cnf(matrix-5235, plain, ( ~class_Groups_Ocomm__monoid__add(_u10175) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10175), _u10176), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10177))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10175), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10175), _u10176), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u10177))), hAPP(_u10176, _u10177))) )).
% 12.54/12.78 cnf(matrix-5236, plain, ( ~class_Groups_Ocomm__monoid__add(_u10178) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10178), _u10179), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10180))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10178), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10178), _u10179), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10180))), hAPP(_u10179, hAPP(c_Nat_OSuc, _u10180)))) )).
% 12.54/12.78 cnf(matrix-5237, plain, ( ~class_Groups_Ocomm__monoid__add(_u10181) | ~class_Groups_Ocomm__monoid__mult(_u10181) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10181), _u10182), _u10183) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u10181), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10181, tc_Int_Oint), _u10182), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10183))) )).
% 12.54/12.78 cnf(matrix-5238, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10184, tc_fun(_u10185, tc_HOL_Obool)), _u10186), hAPP(hAPP(c_COMBS(_u10184, tc_fun(_u10185, tc_HOL_Obool), tc_fun(_u10185, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10185, tc_HOL_Obool), tc_fun(tc_fun(_u10185, tc_HOL_Obool), tc_fun(_u10185, tc_HOL_Obool)), _u10184), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10185, tc_HOL_Obool))), _u10187)), _u10188)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10185, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10185, tc_HOL_Obool), hAPP(c_Set_Oimage(_u10184, tc_fun(_u10185, tc_HOL_Obool), _u10187), _u10186))), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10185, tc_HOL_Obool), hAPP(c_Set_Oimage(_u10184, tc_fun(_u10185, tc_HOL_Obool), _u10188), _u10186)))) )).
% 12.54/12.78 cnf(matrix-5239, 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)), _u10189)), 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), _u10190), _u10189))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u10189), _u10190)) )).
% 12.54/12.78 cnf(matrix-5240, plain, ( ~class_Groups_Ocomm__monoid__add(_u10191) | ~class_Groups_Ocomm__monoid__mult(_u10191) | ~c_Nat__Transfer_Onat__set(_u10192) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u10191), _u10193), _u10192) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u10191), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u10191, tc_Nat_Onat), _u10193), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10192))) )).
% 12.54/12.78 cnf(matrix-5241, plain, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u10197, hAPP(hAPP(c_COMBC(_u10197, tc_fun(_u10197, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10197)), _u10199)), _u10201)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10197, tc_HOL_Obool)), _u10201), hAPP(c_Set_OPow(_u10197), _u10199))) )).
% 12.54/12.78 cnf(matrix-5242, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10198, tc_HOL_Obool)), _u10202), hAPP(c_Set_OPow(_u10198), _u10200))) | hBOOL(hAPP(c_Predicate_OPowp(_u10198, hAPP(hAPP(c_COMBC(_u10198, tc_fun(_u10198, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10198)), _u10200)), _u10202)) )).
% 12.54/12.78 cnf(matrix-5243, plain, ( ~class_Groups_Ocomm__monoid__add(_u10203) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10204), _u10205)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10204, _u10203), _u10206), hAPP(c_Set_OCollect(_u10204), hAPP(hAPP(c_COMBS(_u10204, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10204), c_fconj), hAPP(hAPP(c_COMBC(_u10204, tc_fun(_u10204, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10204)), _u10205))), hAPP(hAPP(c_COMBC(_u10204, tc_fun(_u10204, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10204)), _u10207)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10204, _u10203), hAPP(hAPP(c_COMBC(_u10204, _u10203, _u10203), hAPP(hAPP(c_COMBS(_u10204, _u10203, tc_fun(_u10203, _u10203)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10203, tc_fun(_u10203, _u10203)), _u10204), c_If(_u10203)), hAPP(hAPP(c_COMBC(_u10204, tc_fun(_u10204, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10204)), _u10207))), _u10206)), c_Groups_Ozero__class_Ozero(_u10203))), _u10205)) )).
% 12.54/12.78 cnf(matrix-5244, plain, ( ~class_Groups_Ocomm__monoid__add(_u10208) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10209), _u10210)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10209, _u10208), _u10211), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10209, tc_HOL_Obool)), _u10210), _u10212)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10209, _u10208), hAPP(hAPP(c_COMBC(_u10209, _u10208, _u10208), hAPP(hAPP(c_COMBS(_u10209, _u10208, tc_fun(_u10208, _u10208)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10208, tc_fun(_u10208, _u10208)), _u10209), c_If(_u10208)), hAPP(hAPP(c_COMBC(_u10209, tc_fun(_u10209, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10209)), _u10212))), _u10211)), c_Groups_Ozero__class_Ozero(_u10208))), _u10210)) )).
% 12.54/12.78 cnf(matrix-5245, plain, ( ~class_Groups_Ocomm__monoid__add(_u10213) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10214), _u10215)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10214, _u10213), _u10216), _u10215) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10217, _u10213), hAPP(hAPP(c_COMBB(tc_fun(_u10214, tc_HOL_Obool), _u10213, _u10217), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10214, _u10213), _u10216)), hAPP(hAPP(c_COMBB(tc_fun(_u10214, tc_HOL_Obool), tc_fun(_u10214, tc_HOL_Obool), _u10217), c_Set_OCollect(_u10214)), hAPP(hAPP(c_COMBB(tc_fun(_u10214, tc_HOL_Obool), tc_fun(_u10214, tc_HOL_Obool), _u10217), hAPP(c_COMBS(_u10214, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10214), c_fconj), hAPP(hAPP(c_COMBC(_u10214, tc_fun(_u10214, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10214)), _u10215)))), hAPP(c_COMBC(_u10214, _u10217, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u10217, tc_fun(_u10217, tc_HOL_Obool), _u10214), c_fequal), _u10218)))))), hAPP(c_Set_Oimage(_u10214, _u10217, _u10218), _u10215))) )).
% 12.54/12.78 cnf(matrix-5246, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10219), _u10220)) | ( hAPP(c_Set_Oimage(_u10219, _u10221, _u10222), _u10220) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(_u10221, tc_HOL_Obool), _u10219, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10221, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u10219, tc_fun(_u10221, tc_HOL_Obool), tc_fun(_u10221, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u10221, tc_fun(tc_fun(_u10221, tc_HOL_Obool), tc_fun(_u10221, tc_HOL_Obool)), _u10219), c_Set_Oinsert(_u10221)), _u10222)), c_Orderings_Obot__class_Obot(tc_fun(_u10221, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(_u10221, tc_HOL_Obool))), _u10220)) )).
% 12.54/12.78 cnf(matrix-5247, plain, ( ~class_Int_Onumber__ring(_u10223) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10223), hAPP(c_Int_Onumber__class_Onumber__of(_u10223), _u10224)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u10225))) = hAPP(hAPP(c_HOL_OLet(_u10223, _u10223), hAPP(hAPP(c_Power_Opower__class_Opower(_u10223), hAPP(c_Int_Onumber__class_Onumber__of(_u10223), _u10224)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10225))), hAPP(hAPP(c_COMBS(_u10223, _u10223, _u10223), c_Groups_Otimes__class_Otimes(_u10223)), c_COMBI(_u10223)))) )).
% 12.54/12.78 cnf(matrix-5248, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10226) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10227), _u10228)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10227, _u10226), _u10228), _u10229) = hAPP(hAPP(c_Finite__Set_Ofold(_u10227, _u10226, hAPP(hAPP(c_COMBB(_u10226, tc_fun(_u10226, _u10226), _u10227), c_Lattices_Osemilattice__sup__class_Osup(_u10226)), _u10229)), c_Orderings_Obot__class_Obot(_u10226)), _u10228)) )).
% 12.54/12.78 cnf(matrix-5249, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10230), _u10231)) | ( hAPP(c_Finite__Set_Ocard(_u10230), _u10231) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u10230, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u10230), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10231)) )).
% 12.54/12.78 cnf(matrix-5250, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10234), _u10236)) | ( hAPP(c_Finite__Set_Ocard(_u10234), _u10236) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u10234, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u10234), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10236)) )).
% 12.54/12.78 cnf(matrix-5251, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u10235), _u10237)) | ( hAPP(c_Finite__Set_Ocard(_u10235), _u10237) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-5252, plain, ( c_Finite__Set_Ofun__left__comm__idem(_u10238, tc_fun(_u10238, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u10238, tc_HOL_Obool), tc_fun(tc_fun(_u10238, tc_HOL_Obool), tc_fun(_u10238, tc_HOL_Obool)), _u10238), hAPP(c_COMBC(tc_fun(_u10238, tc_HOL_Obool), tc_fun(_u10238, tc_HOL_Obool), tc_fun(_u10238, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u10238, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u10238, tc_fun(_u10238, tc_HOL_Obool), tc_fun(_u10238, tc_HOL_Obool)), c_Set_Oinsert(_u10238)), c_Orderings_Obot__class_Obot(tc_fun(_u10238, tc_HOL_Obool))))) )).
% 12.54/12.78 cnf(matrix-5253, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10239) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10240), _u10241)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10240, _u10239), _u10241), _u10242) = hAPP(hAPP(c_Finite__Set_Ofold(_u10240, _u10239, hAPP(hAPP(c_COMBB(_u10239, tc_fun(_u10239, _u10239), _u10240), c_Lattices_Osemilattice__inf__class_Oinf(_u10239)), _u10242)), c_Orderings_Otop__class_Otop(_u10239)), _u10241)) )).
% 12.54/12.78 cnf(matrix-5254, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10245)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u10247)), hAPP(c_Int_Onat, _u10245)) = hAPP(c_Int_Onat, _u10247)) )).
% 12.54/12.78 cnf(matrix-5255, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u10246)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u10248)), hAPP(c_Int_Onat, _u10246)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10248), _u10246)), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_Int_Oint), c_If(tc_Nat_Onat)), c_Nat__Numeral_Oneg)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Int_Onat))) )).
% 12.54/12.78 cnf(matrix-5256, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10249), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10250)) | ( c_Divides_OnegDivAlg(_u10249, _u10250) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10249), _u10250)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10249, _u10250))) )).
% 12.54/12.78 cnf(matrix-5257, plain, ( ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u10251) = 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), _u10251), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.54/12.78 cnf(matrix-5258, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10252)) | ( 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)), _u10252))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u10253)))) = 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)), _u10252))), 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, _u10253)))))) )).
% 12.54/12.78 cnf(matrix-5259, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10254)) | ( 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)), _u10254))), 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, _u10255))))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-5260, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10256)) | ( 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)), _u10256))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u10257))))) = 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)), _u10256))), 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, _u10257)))))) )).
% 12.54/12.78 cnf(matrix-5261, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10258, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10259)), _u10260) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10258, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10258, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u10259)), _u10260)), hAPP(_u10260, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.54/12.78 cnf(matrix-5262, plain, ( ~class_Groups_Ocomm__monoid__add(_u10261) | ~class_Groups_Ocomm__monoid__mult(_u10261) | ~c_Nat__Transfer_Onat__set(_u10262) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u10261), _u10263), _u10262) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10261), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u10261, tc_Nat_Onat), _u10263), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10262))) )).
% 12.54/12.78 cnf(matrix-5263, plain, ( ( hAPP(c_Divides_Oadjust(_u10264), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10265), _u10266)) = 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), _u10266), _u10264)), 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)))), _u10265)), 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)))), _u10265)), _u10266)))) )).
% 12.54/12.78 cnf(matrix-5264, plain, ( ~class_Groups_Ocomm__monoid__add(_u10267) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10268), _u10269)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10267), _u10270), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10268, _u10269)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10267), hAPP(_u10270, _u10268)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10267), _u10270), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u10268, _u10269)))) )).
% 12.54/12.78 cnf(matrix-5265, plain, ( ~class_Groups_Ocomm__monoid__add(_u10271) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10272), _u10273)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10272, _u10271), hAPP(hAPP(c_COMBS(_u10272, _u10271, _u10271), hAPP(hAPP(c_COMBS(_u10272, _u10271, tc_fun(_u10271, _u10271)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10271, tc_fun(_u10271, _u10271)), _u10272), c_If(_u10271)), _u10274)), _u10275)), _u10276)), _u10273) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10271), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10272, _u10271), _u10275), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10272, tc_HOL_Obool)), _u10273), hAPP(c_Set_OCollect(_u10272), _u10274)))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u10272, _u10271), _u10276), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10272, tc_HOL_Obool)), _u10273), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u10272, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u10272), _u10274)))))) )).
% 12.54/12.78 cnf(matrix-5266, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10277), _u10278)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10277, tc_HOL_Obool)), _u10279), _u10278) = hAPP(hAPP(c_Finite__Set_Ofold(_u10277, tc_fun(_u10277, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u10277, tc_HOL_Obool), tc_fun(tc_fun(_u10277, tc_HOL_Obool), tc_fun(_u10277, tc_HOL_Obool)), _u10277), hAPP(c_COMBC(tc_fun(_u10277, tc_HOL_Obool), tc_fun(_u10277, tc_HOL_Obool), tc_fun(_u10277, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u10277, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u10277, tc_fun(_u10277, tc_HOL_Obool), tc_fun(_u10277, tc_HOL_Obool)), c_Set_Oinsert(_u10277)), c_Orderings_Obot__class_Obot(tc_fun(_u10277, tc_HOL_Obool))))), _u10279), _u10278)) )).
% 12.54/12.78 cnf(matrix-5267, plain, ( ( hAPP(c_Nat_OSuc, _u10282) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10284)) | 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(_u10284))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10282))))) )).
% 12.54/12.78 cnf(matrix-5268, 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(_u10285))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10283))))) | ( hAPP(c_Nat_OSuc, _u10283) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10285)) )).
% 12.54/12.78 cnf(matrix-5269, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10288) != hAPP(c_Nat_OSuc, _u10290)) | 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(_u10288))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10290))))) )).
% 12.54/12.78 cnf(matrix-5270, 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(_u10289))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10291))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10289) = hAPP(c_Nat_OSuc, _u10291)) )).
% 12.54/12.78 cnf(matrix-5271, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10293))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10293)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-5272, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10294))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10294)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10294)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_COMBI(tc_Nat_Onat))))) )).
% 12.54/12.78 cnf(matrix-5273, plain, ( ~class_Fields_Ofield(_u10295) | ( _u10296 = c_Groups_Oone__class_Oone(_u10295)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10295), hAPP(c_Power_Opower__class_Opower(_u10295), _u10296)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10297)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10295), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10295), hAPP(hAPP(c_Power_Opower__class_Opower(_u10295), _u10296), _u10297)), c_Groups_Oone__class_Oone(_u10295))), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10295), _u10296), c_Groups_Oone__class_Oone(_u10295)))) )).
% 12.54/12.78 cnf(matrix-5274, plain, ( ~class_Rings_Ocomm__semiring__1(_u10298) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10298), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10298), c_Groups_Oone__class_Oone(_u10298)), c_Groups_Oone__class_Oone(_u10298))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10298), c_Nat_Osemiring__1__class_Oof__nat(_u10298)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u10299))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10298), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10298), _u10299)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10298), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10298), _u10299)), c_Groups_Oone__class_Oone(_u10298)))) )).
% 12.54/12.78 cnf(matrix-5275, plain, ( ~class_Groups_Oab__group__add(_u10300) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10301), _u10302)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10300), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u10300, _u10300), hAPP(hAPP(c_COMBB(_u10300, tc_fun(_u10300, _u10300), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u10300)), _u10303)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10300, tc_Nat_Onat), _u10303), 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, _u10301, _u10302)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10300), hAPP(_u10303, _u10301)), hAPP(_u10303, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10302), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 12.54/12.78 cnf(matrix-5276, plain, ( ~class_Groups_Oab__group__add(_u10300) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10301), _u10302)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10300), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u10300, _u10300), hAPP(hAPP(c_COMBB(_u10300, tc_fun(_u10300, _u10300), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u10300)), _u10303)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10300, tc_Nat_Onat), _u10303), 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, _u10301, _u10302)) = c_Groups_Ozero__class_Ozero(_u10300)) )).
% 12.54/12.78 cnf(matrix-5277, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10306)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10308))) | 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(_u10308))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u10306)), c_Int_Onat))))) )).
% 12.54/12.78 cnf(matrix-5278, 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(_u10309))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u10307)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10307)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10309))) )).
% 12.54/12.78 cnf(matrix-5279, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10312)), hAPP(c_Nat_OSuc, _u10314))) | 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(_u10312))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10314)))) )).
% 12.54/12.78 cnf(matrix-5280, 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(_u10313))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10315)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10313)), hAPP(c_Nat_OSuc, _u10315))) )).
% 12.54/12.78 cnf(matrix-5281, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10318)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10320))) | 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(_u10320))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u10318)), c_Int_Onat))))) )).
% 12.54/12.78 cnf(matrix-5282, 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(_u10321))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u10319)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10319)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10321))) )).
% 12.54/12.78 cnf(matrix-5283, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10324)), hAPP(c_Nat_OSuc, _u10326))) | 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(_u10324))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10326)))) )).
% 12.54/12.78 cnf(matrix-5284, 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(_u10325))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10327)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10325)), hAPP(c_Nat_OSuc, _u10327))) )).
% 12.54/12.78 cnf(matrix-5285, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10328)), hAPP(c_Nat_OSuc, _u10329)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10328))), 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, _u10329))), 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)), _u10329))))) )).
% 12.54/12.78 cnf(matrix-5286, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10330)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10331)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10331))), 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, _u10330))), 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), _u10330)), c_Int_Onat))))) )).
% 12.54/12.78 cnf(matrix-5287, plain, ( ~class_Int_Onumber__ring(_u10332) | ~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), _u10333))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10332), _u10334), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10333))) = hAPP(hAPP(c_HOL_OLet(_u10332, _u10332), hAPP(hAPP(c_Power_Opower__class_Opower(_u10332), _u10334), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10333))), hAPP(hAPP(c_COMBS(_u10332, _u10332, _u10332), hAPP(hAPP(c_COMBB(_u10332, tc_fun(_u10332, _u10332), _u10332), c_Groups_Otimes__class_Otimes(_u10332)), hAPP(c_Groups_Otimes__class_Otimes(_u10332), _u10334))), c_COMBI(_u10332)))) )).
% 12.54/12.78 cnf(matrix-5288, plain, ( ~class_Int_Onumber__ring(_u10332) | 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), _u10333))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10332), _u10334), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10333))) = c_Groups_Oone__class_Oone(_u10332)) )).
% 12.54/12.78 cnf(matrix-5289, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10335) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10336), _u10337)) | ~hBOOL(hAPP(hAPP(c_member(_u10336), _u10338), _u10337)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10336, _u10335), hAPP(hAPP(c_COMBC(_u10336, _u10335, _u10335), hAPP(hAPP(c_COMBS(_u10336, _u10335, tc_fun(_u10335, _u10335)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10335, tc_fun(_u10335, _u10335)), _u10336), c_If(_u10335)), hAPP(hAPP(c_COMBC(_u10336, _u10336, tc_HOL_Obool), c_fequal), _u10338))), _u10339)), _u10340)), _u10337) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10335), hAPP(_u10339, _u10338)), hAPP(hAPP(c_Power_Opower__class_Opower(_u10335), _u10340), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10336), _u10337)), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 12.54/12.78 cnf(matrix-5290, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10335) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10336), _u10337)) | hBOOL(hAPP(hAPP(c_member(_u10336), _u10338), _u10337)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10336, _u10335), hAPP(hAPP(c_COMBC(_u10336, _u10335, _u10335), hAPP(hAPP(c_COMBS(_u10336, _u10335, tc_fun(_u10335, _u10335)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10335, tc_fun(_u10335, _u10335)), _u10336), c_If(_u10335)), hAPP(hAPP(c_COMBC(_u10336, _u10336, tc_HOL_Obool), c_fequal), _u10338))), _u10339)), _u10340)), _u10337) = hAPP(hAPP(c_Power_Opower__class_Opower(_u10335), _u10340), hAPP(c_Finite__Set_Ocard(_u10336), _u10337))) )).
% 12.54/12.78 cnf(matrix-5291, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10344), _u10346)) | ( 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)), _u10344)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10348), _u10346)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10348), _u10344)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10346), _u10344))) )).
% 12.54/12.78 cnf(matrix-5292, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10345), _u10347)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10349), _u10347)) | ( 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)), _u10345)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10349), _u10347)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.54/12.78 cnf(matrix-5293, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10345), _u10347)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10349), _u10347)) | ( 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)), _u10345)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10349), _u10347)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-5294, 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), _u10352))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10354), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10352))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10354), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10352))), 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), _u10354))), c_COMBI(tc_Int_Oint)))) )).
% 12.54/12.78 cnf(matrix-5295, 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), _u10353))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10355), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10353))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.54/12.78 cnf(matrix-5296, plain, ( ~class_Rings_Ocomm__semiring__1(_u10356) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10356), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10356), c_Groups_Oone__class_Oone(_u10356)), c_Groups_Oone__class_Oone(_u10356))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10356), hAPP(hAPP(c_COMBB(_u10356, _u10356, tc_Nat_Onat), hAPP(c_Groups_Oplus__class_Oplus(_u10356), _u10357)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u10356, _u10356), hAPP(hAPP(c_COMBB(_u10356, tc_fun(_u10356, _u10356), tc_Nat_Onat), c_Groups_Otimes__class_Otimes(_u10356)), c_Nat_Osemiring__1__class_Oof__nat(_u10356))), _u10358))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u10359))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10356), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10356), _u10359)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10356), _u10357), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10356), _u10357), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10356), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10356), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10359), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u10358))))) )).
% 12.54/12.78 cnf(matrix-5297, plain, ( ( c_Divides_OnegDivAlg(_u10362, _u10364) = 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), _u10362), _u10364))) | ~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), _u10362), _u10364))) )).
% 12.54/12.78 cnf(matrix-5298, plain, ( ( c_Divides_OnegDivAlg(_u10362, _u10364) = 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), _u10362), _u10364))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10364), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-5299, 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), _u10363), _u10365))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10365), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u10363, _u10365) = hAPP(c_Divides_Oadjust(_u10365), c_Divides_OnegDivAlg(_u10363, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u10365)))) )).
% 12.54/12.78 cnf(matrix-5300, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10366)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10367)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10367))), 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), _u10366)), c_Int_Onat))))) )).
% 12.54/12.78 cnf(matrix-5301, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10368)), hAPP(c_Nat_OSuc, _u10369)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10368))), 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)), _u10369))))) )).
% 12.54/12.78 cnf(matrix-5302, 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), _u10370)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Otimes__class_Otimes(tc_Nat_Onat)), _u10371))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u10372))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10372), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10370), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10370), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10372), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u10371))))) )).
% 12.54/12.78 cnf(matrix-5303, plain, ( ~class_Int_Onumber__ring(_u10373) | ~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), _u10374))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10373), hAPP(c_Int_Onumber__class_Onumber__of(_u10373), _u10375)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10374))) = hAPP(hAPP(c_HOL_OLet(_u10373, _u10373), hAPP(hAPP(c_Power_Opower__class_Opower(_u10373), hAPP(c_Int_Onumber__class_Onumber__of(_u10373), _u10375)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10374))), hAPP(hAPP(c_COMBS(_u10373, _u10373, _u10373), hAPP(hAPP(c_COMBB(_u10373, tc_fun(_u10373, _u10373), _u10373), c_Groups_Otimes__class_Otimes(_u10373)), hAPP(c_Groups_Otimes__class_Otimes(_u10373), hAPP(c_Int_Onumber__class_Onumber__of(_u10373), _u10375)))), c_COMBI(_u10373)))) )).
% 12.54/12.78 cnf(matrix-5304, plain, ( ~class_Int_Onumber__ring(_u10373) | 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), _u10374))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10373), hAPP(c_Int_Onumber__class_Onumber__of(_u10373), _u10375)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10374))) = c_Groups_Oone__class_Oone(_u10373)) )).
% 12.54/12.78 cnf(matrix-5305, 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), _u10376))) | ~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), _u10377)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10376)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10377), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10376)) = 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), _u10377)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10376)))) )).
% 12.54/12.78 cnf(matrix-5306, 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), _u10376))) | 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), _u10377)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10376)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10377), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10376)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10376)), c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10377), hAPP(hAPP(c_Groups_Otimes__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), _u10376))))) )).
% 12.54/12.78 cnf(matrix-5307, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10378)) | ~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), _u10379), _u10378))) | ( c_Divides_OnegDivAlg(_u10379, _u10378) = 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), _u10379), _u10378))) )).
% 12.54/12.78 cnf(matrix-5308, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10378)) | 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), _u10379), _u10378))) | ( c_Divides_OnegDivAlg(_u10379, _u10378) = hAPP(c_Divides_Oadjust(_u10378), c_Divides_OnegDivAlg(_u10379, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u10378)))) )).
% 12.54/12.78 cnf(matrix-5309, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10382), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10384)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10382)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10384)) )).
% 12.54/12.78 cnf(matrix-5310, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10383), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10385)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10383)) = 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), _u10385), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10383)))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_Int_Oint), c_If(tc_Nat_Onat)), c_Nat__Numeral_Oneg)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Int_Onat))) )).
% 12.54/12.78 cnf(matrix-5311, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10388), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u10390, _u10388) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10390), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10388))) )).
% 12.54/12.78 cnf(matrix-5312, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10389), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u10391, _u10389) = 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))) | ( _u10391 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.78 cnf(matrix-5313, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10389), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u10391, _u10389) = 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))) | ( _u10389 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.78 cnf(matrix-5314, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10389), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u10391 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10389 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u10391, _u10389) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u10391), _u10389)), 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), _u10391))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10389)))) )).
% 12.54/12.78 cnf(matrix-5315, plain, ( ( c_Nat_Onat_Onat__case(_u10392, _u10393, _u10394, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10395)), _u10396)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u10392), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10395))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10392, _u10392), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u10392, tc_fun(_u10392, _u10392)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10392, tc_fun(_u10392, _u10392)), tc_Int_Oint), c_If(_u10392)), c_Nat__Numeral_Oneg)), c_Nat_Onat_Onat__case(_u10392, _u10393, _u10394, _u10396))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10392, tc_Int_Oint), _u10394), 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)), _u10396))))) )).
% 12.54/12.78 cnf(matrix-5316, 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), _u10397))) | ~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), _u10397))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10397)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-5317, 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), _u10397))) | 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), _u10397))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10397)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10397)), 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), _u10397))))) )).
% 12.54/12.78 cnf(matrix-5318, plain, ( ( c_Divides_OposDivAlg(_u10400, _u10402) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10400)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10400), _u10402)) )).
% 12.54/12.78 cnf(matrix-5319, plain, ( ( c_Divides_OposDivAlg(_u10400, _u10402) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10400)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10402), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-5320, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10401), _u10403)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10403), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u10401, _u10403) = hAPP(c_Divides_Oadjust(_u10403), c_Divides_OposDivAlg(_u10401, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u10403)))) )).
% 12.54/12.78 cnf(matrix-5321, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10408, tc_fun(_u10409, tc_HOL_Obool))), _u10407), _u10404), _u10405), _u10406)) | ~hBOOL(hAPP(hAPP(_u10404, _u10405), _u10406)) )).
% 12.54/12.78 cnf(matrix-5322, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10408, tc_fun(_u10409, tc_HOL_Obool))), _u10407), _u10404), _u10405), _u10406)) | ~hBOOL(hAPP(hAPP(_u10407, _u10405), _u10406)) )).
% 12.54/12.78 cnf(matrix-5323, plain, ( hBOOL(hAPP(hAPP(_u10412, _u10414), _u10415)) | hBOOL(hAPP(hAPP(_u10413, _u10414), _u10415)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10410, tc_fun(_u10411, tc_HOL_Obool))), _u10412), _u10413), _u10414), _u10415)) )).
% 12.54/12.78 cnf(matrix-5324, plain, ( ~hBOOL(hAPP(hAPP(_u10416, _u10417), _u10418)) | ~hBOOL(hAPP(hAPP(_u10419, _u10417), _u10418)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10420, tc_fun(_u10421, tc_HOL_Obool))), _u10416), _u10419), _u10417), _u10418)) )).
% 12.54/12.78 cnf(matrix-5325, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10422, tc_fun(_u10423, tc_HOL_Obool))), _u10424), _u10425), _u10426), _u10427)) | hBOOL(hAPP(hAPP(_u10424, _u10426), _u10427)) )).
% 12.54/12.78 cnf(matrix-5326, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10422, tc_fun(_u10423, tc_HOL_Obool))), _u10424), _u10425), _u10426), _u10427)) | hBOOL(hAPP(hAPP(_u10425, _u10426), _u10427)) )).
% 12.54/12.78 cnf(matrix-5327, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u10428, tc_fun(_u10429, tc_HOL_Obool))), _u10430), _u10431)) )).
% 12.54/12.78 cnf(matrix-5328, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10439, tc_fun(_u10441, tc_HOL_Obool)), _u10443), _u10445), _u10447)) | ~hBOOL(hAPP(hAPP(c_member(_u10439), _u10432), _u10443)) | hBOOL(hAPP(hAPP(_u10445, _u10432), _u10447)) )).
% 12.54/12.78 cnf(matrix-5329, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10440, tc_fun(_u10442, tc_HOL_Obool)), _u10444), _u10446), _u10448)) | hBOOL(hAPP(hAPP(c_member(_u10440), skolem258(_u10448, _u10446, _u10444, _u10442, _u10440)), _u10444)) )).
% 12.54/12.78 cnf(matrix-5330, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10440, tc_fun(_u10442, tc_HOL_Obool)), _u10444), _u10446), _u10448)) | ~hBOOL(hAPP(hAPP(_u10446, skolem258(_u10448, _u10446, _u10444, _u10442, _u10440)), _u10448)) )).
% 12.54/12.78 cnf(matrix-5331, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10458, tc_fun(_u10460, tc_fun(_u10462, tc_HOL_Obool))), _u10464), _u10466), _u10468), _u10470)) | ~hBOOL(hAPP(hAPP(c_member(_u10458), _u10449), _u10464)) | hBOOL(hAPP(hAPP(hAPP(_u10466, _u10449), _u10468), _u10470)) )).
% 12.54/12.78 cnf(matrix-5332, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10459, tc_fun(_u10461, tc_fun(_u10463, tc_HOL_Obool))), _u10465), _u10467), _u10469), _u10471)) | hBOOL(hAPP(hAPP(c_member(_u10459), skolem259(_u10471, _u10469, _u10467, _u10465, _u10463, _u10461, _u10459)), _u10465)) )).
% 12.54/12.78 cnf(matrix-5333, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10459, tc_fun(_u10461, tc_fun(_u10463, tc_HOL_Obool))), _u10465), _u10467), _u10469), _u10471)) | ~hBOOL(hAPP(hAPP(hAPP(_u10467, skolem259(_u10471, _u10469, _u10467, _u10465, _u10463, _u10461, _u10459)), _u10469), _u10471)) )).
% 12.54/12.78 cnf(matrix-5334, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10481, tc_fun(_u10483, tc_fun(_u10485, tc_HOL_Obool))), _u10487), _u10489), _u10491), _u10493)) | hBOOL(hAPP(hAPP(c_member(_u10481), skolem260(_u10493, _u10491, _u10489, _u10487, _u10485, _u10483, _u10481)), _u10487)) )).
% 12.54/12.78 cnf(matrix-5335, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10481, tc_fun(_u10483, tc_fun(_u10485, tc_HOL_Obool))), _u10487), _u10489), _u10491), _u10493)) | hBOOL(hAPP(hAPP(hAPP(_u10489, skolem260(_u10493, _u10491, _u10489, _u10487, _u10485, _u10483, _u10481)), _u10491), _u10493)) )).
% 12.54/12.78 cnf(matrix-5336, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10482), _u10473), _u10488)) | ~hBOOL(hAPP(hAPP(hAPP(_u10490, _u10473), _u10492), _u10494)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10482, tc_fun(_u10484, tc_fun(_u10486, tc_HOL_Obool))), _u10488), _u10490), _u10492), _u10494)) )).
% 12.54/12.78 cnf(matrix-5337, plain, ( ~hBOOL(hAPP(hAPP(_u10495, _u10496), _u10497)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10498, tc_fun(_u10499, tc_HOL_Obool))), _u10495), _u10500)) | hBOOL(hAPP(hAPP(_u10500, _u10496), _u10497)) )).
% 12.54/12.78 cnf(matrix-5338, plain, ( ~hBOOL(hAPP(hAPP(_u10503, _u10505), _u10506)) | hBOOL(hAPP(hAPP(_u10504, _u10505), _u10506)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10501, tc_fun(_u10502, tc_HOL_Obool))), _u10503), _u10504)) )).
% 12.54/12.78 cnf(matrix-5339, plain, ( ( _u10507 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u10508, _u10508), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u10508, _u10508), tc_HOL_Obool)), _u10507), _u10509)) )).
% 12.54/12.78 cnf(matrix-5340, plain, ( hBOOL(hAPP(hAPP(_u10512, _u10514), _u10515)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10510, tc_fun(_u10511, tc_HOL_Obool))), _u10512), _u10513), _u10514), _u10515)) )).
% 12.54/12.78 cnf(matrix-5341, plain, ( hBOOL(hAPP(hAPP(_u10519, _u10520), _u10521)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10516, tc_fun(_u10517, tc_HOL_Obool))), _u10518), _u10519), _u10520), _u10521)) )).
% 12.54/12.78 cnf(matrix-5342, plain, ( ~hBOOL(hAPP(hAPP(_u10522, _u10523), _u10524)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10525, tc_fun(_u10526, tc_HOL_Obool))), _u10527), _u10522), _u10523), _u10524)) )).
% 12.54/12.78 cnf(matrix-5343, plain, ( ~hBOOL(hAPP(hAPP(_u10528, _u10529), _u10530)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10531, tc_fun(_u10532, tc_HOL_Obool))), _u10528), _u10533), _u10529), _u10530)) )).
% 12.54/12.78 cnf(matrix-5344, plain, ( ( c_Nat_Onat_Onat__case(_u10534, _u10535, _u10536, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u10535) )).
% 12.54/12.78 cnf(matrix-5345, plain, ( ( c_Nat_Onat_Onat__case(_u10537, _u10538, _u10539, hAPP(c_Nat_OSuc, _u10540)) = hAPP(_u10539, _u10540)) )).
% 12.54/12.78 cnf(matrix-5346, plain, ( ( c_Divides_OposDivAlg(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u10541) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-5347, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10542)), _u10543) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10542), 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), _u10542)), _u10543)) )).
% 12.54/12.78 cnf(matrix-5348, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u10544), hAPP(c_Nat_OSuc, _u10545)) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10545), 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)), _u10545)), _u10544)) )).
% 12.54/12.78 cnf(matrix-5349, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10548)), _u10550)) | hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10548), _u10550)) )).
% 12.54/12.78 cnf(matrix-5350, plain, ( ~hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10549), _u10551)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10549)), _u10551)) )).
% 12.54/12.78 cnf(matrix-5351, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10552), hAPP(c_Nat_OSuc, _u10553)) = 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), _u10552), _u10553))) )).
% 12.54/12.78 cnf(matrix-5352, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u10554), hAPP(c_Nat_OSuc, _u10555)) = 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)), _u10555)), _u10554)) )).
% 12.54/12.78 cnf(matrix-5353, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10556)), _u10557) = 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), _u10556)), _u10557)) )).
% 12.54/12.78 cnf(matrix-5354, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10558)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10559)) | ( c_Divides_OposDivAlg(_u10558, _u10559) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10558), _u10559)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10558, _u10559))) )).
% 12.54/12.78 cnf(matrix-5355, plain, ( ( c_Nat_Onat_Onat__case(_u10560, _u10561, _u10562, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10563)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u10560), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10563))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10560, _u10560), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u10560, tc_fun(_u10560, _u10560)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10560, tc_fun(_u10560, _u10560)), tc_Int_Oint), c_If(_u10560)), c_Nat__Numeral_Oneg)), _u10561)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10560, tc_Int_Oint), _u10562), c_Int_Onat)))) )).
% 12.54/12.78 cnf(matrix-5356, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10564)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10565), _u10564)) | ( c_Divides_OposDivAlg(_u10565, _u10564) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10565)) )).
% 12.54/12.78 cnf(matrix-5357, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10564)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10565), _u10564)) | ( c_Divides_OposDivAlg(_u10565, _u10564) = hAPP(c_Divides_Oadjust(_u10564), c_Divides_OposDivAlg(_u10565, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u10564)))) )).
% 12.54/12.78 cnf(matrix-5358, 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), _u10566))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10567)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10566))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10567), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10566)) = 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), _u10567))) )).
% 12.54/12.78 cnf(matrix-5359, 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), _u10566))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10567)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10566))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10567), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10566)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10566)), c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10567), hAPP(hAPP(c_Groups_Otimes__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), _u10566))))) )).
% 12.54/12.78 cnf(matrix-5360, plain, ( ~hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u10573, _u10575, _u10577), _u10579), _u10581)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10573, _u10575)), hAPP(hAPP(c_Product__Type_OPair(_u10573, _u10575), _u10579), _u10581)), _u10577)) )).
% 12.54/12.78 cnf(matrix-5361, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10574, _u10576)), hAPP(hAPP(c_Product__Type_OPair(_u10574, _u10576), _u10580), _u10582)), _u10578)) | hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u10574, _u10576, _u10578), _u10580), _u10582)) )).
% 12.54/12.78 cnf(matrix-5362, plain, ( ( c_Code__Numeral_Odiv__mod__code__numeral(_u10583, _u10584) = 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), _u10583), _u10584)), c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u10583, _u10584))) )).
% 12.54/12.78 cnf(matrix-5363, plain, ( ~c_Nitpick_Orefl_H(_u10589, _u10591) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10589, _u10589)), hAPP(hAPP(c_Product__Type_OPair(_u10589, _u10589), _u10585), _u10585)), _u10591)) )).
% 12.54/12.78 cnf(matrix-5364, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10590, _u10590)), hAPP(hAPP(c_Product__Type_OPair(_u10590, _u10590), skolem261(_u10592, _u10590)), skolem261(_u10592, _u10590))), _u10592)) | c_Nitpick_Orefl_H(_u10590, _u10592) )).
% 12.54/12.78 cnf(matrix-5365, plain, ( ( c_Divides_Oadjust(_u10593) = 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)), _u10593))))), 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)), _u10593))))), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_Int_Oint), c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint)), hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))) )).
% 12.54/12.78 cnf(matrix-5366, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10594)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10594), _u10595)) | ( c_Divides_Odivmod__nat(_u10595, _u10594) = 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), _u10595), _u10594)), _u10594))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10595), _u10594), _u10594))) )).
% 12.54/12.78 cnf(matrix-5367, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u10596, _u10597, _u10598), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10599)), _u10600)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u10596), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10599))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10596, _u10596), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u10596, tc_fun(_u10596, _u10596)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10596, tc_fun(_u10596, _u10596)), tc_Int_Oint), c_If(_u10596)), c_Nat__Numeral_Oneg)), hAPP(c_Nat_Onat_Onat__rec(_u10596, _u10597, _u10598), _u10600))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10596, _u10596), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u10596, _u10596), tc_Int_Oint), _u10598), 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)), _u10600))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10596, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u10596, _u10597, _u10598)), 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)), _u10600)))))) )).
% 12.54/12.78 cnf(matrix-5368, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u10601, _u10602, _u10603), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u10602) )).
% 12.54/12.78 cnf(matrix-5369, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u10604, _u10605, _u10606), hAPP(c_Nat_OSuc, _u10607)) = hAPP(hAPP(_u10606, _u10607), hAPP(c_Nat_Onat_Onat__rec(_u10604, _u10605, _u10606), _u10607))) )).
% 12.54/12.78 cnf(matrix-5370, plain, ( ( c_Divides_Odivmod__nat(_u10608, 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)), _u10608)) )).
% 12.54/12.78 cnf(matrix-5371, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10609), _u10610)) | ( c_Divides_Odivmod__nat(_u10609, _u10610) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10609)) )).
% 12.54/12.78 cnf(matrix-5372, plain, ( ( c_Divides_Odivmod__nat(_u10611, _u10612) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u10611), _u10612)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10611, _u10612))) )).
% 12.54/12.78 cnf(matrix-5373, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u10613, _u10614, _u10615), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10616)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u10613), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10616))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10613, _u10613), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u10613, tc_fun(_u10613, _u10613)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10613, tc_fun(_u10613, _u10613)), tc_Int_Oint), c_If(_u10613)), c_Nat__Numeral_Oneg)), _u10614)), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10613, _u10613), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u10613, _u10613), tc_Int_Oint), _u10615), c_Int_Onat)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10613, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u10613, _u10614, _u10615)), c_Int_Onat))))) )).
% 12.54/12.78 cnf(matrix-5374, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10617, _u10618)), hAPP(hAPP(c_Product__Type_OPair(_u10617, _u10618), _u10619), _u10620)), _u10621)) | hBOOL(hAPP(hAPP(c_member(_u10622), hAPP(hAPP(_u10623, _u10619), _u10620)), hAPP(c_Set_Oimage(tc_prod(_u10617, _u10618), _u10622, hAPP(c_Product__Type_Oprod_Oprod__case(_u10617, _u10618, _u10622), _u10623)), _u10621))) )).
% 12.54/12.78 cnf(matrix-5375, plain, ( ~class_Rings_Oring__1(_u10624) | ( _u10625 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u10624), _u10625) = c_Groups_Ozero__class_Ozero(_u10624)) )).
% 12.54/12.78 cnf(matrix-5376, plain, ( ~class_Rings_Oring__1(_u10624) | ( _u10625 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10625), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u10624), _u10625) = hAPP(c_Groups_Ouminus__class_Ouminus(_u10624), hAPP(c_Int_Oring__1__class_Oof__int(_u10624), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10625)))) )).
% 12.54/12.78 cnf(matrix-5377, plain, ( ~class_Rings_Oring__1(_u10624) | ( _u10625 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10625), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u10624), _u10625) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, _u10624), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_fun(_u10624, _u10624)), tc_fun(tc_Int_Oint, _u10624)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u10624, _u10624), _u10624), tc_fun(tc_fun(tc_Int_Oint, tc_fun(_u10624, _u10624)), tc_fun(tc_Int_Oint, _u10624)), tc_Int_Oint), c_COMBB(tc_fun(_u10624, _u10624), _u10624, tc_Int_Oint)), hAPP(hAPP(c_COMBB(_u10624, tc_fun(tc_fun(_u10624, _u10624), _u10624), tc_Int_Oint), c_HOL_OLet(_u10624, _u10624)), c_Int_Oring__1__class_Oof__int(_u10624)))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u10624, _u10624), tc_fun(_u10624, _u10624)), hAPP(hAPP(c_COMBB(tc_fun(_u10624, tc_fun(_u10624, _u10624)), tc_fun(tc_fun(_u10624, _u10624), tc_fun(_u10624, _u10624)), tc_Int_Oint), c_COMBS(_u10624, _u10624, _u10624)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u10624, _u10624), tc_fun(_u10624, tc_fun(_u10624, _u10624))), hAPP(hAPP(c_COMBB(tc_fun(_u10624, tc_fun(_u10624, _u10624)), tc_fun(tc_fun(_u10624, _u10624), tc_fun(_u10624, tc_fun(_u10624, _u10624))), tc_Int_Oint), c_COMBB(_u10624, tc_fun(_u10624, _u10624), _u10624)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10624, tc_fun(_u10624, _u10624)), tc_Int_Oint), c_If(_u10624)), 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(_u10624, _u10624, _u10624), c_Groups_Oplus__class_Oplus(_u10624)), c_COMBI(_u10624))))), hAPP(hAPP(c_COMBC(_u10624, _u10624, _u10624), hAPP(hAPP(c_COMBB(_u10624, tc_fun(_u10624, _u10624), _u10624), c_Groups_Oplus__class_Oplus(_u10624)), hAPP(hAPP(c_COMBS(_u10624, _u10624, _u10624), c_Groups_Oplus__class_Oplus(_u10624)), c_COMBI(_u10624)))), c_Groups_Oone__class_Oone(_u10624))))), c_Divides_Odivmod__int(_u10625, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.54/12.78 cnf(matrix-5378, plain, ( ~class_Rings_Osemiring__1(_u10626) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10626), _u10627) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u10626, hAPP(hAPP(c_COMBC(_u10626, _u10626, _u10626), c_Groups_Oplus__class_Oplus(_u10626)), c_Groups_Oone__class_Oone(_u10626)), _u10627, c_Groups_Ozero__class_Ozero(_u10626))) )).
% 12.54/12.78 cnf(matrix-5379, plain, ( ~hBOOL(hAPP(hAPP(_u10628, _u10629), _u10630)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10631, _u10632, tc_HOL_Obool), _u10628), hAPP(hAPP(c_Product__Type_OPair(_u10631, _u10632), _u10629), _u10630))) )).
% 12.54/12.78 cnf(matrix-5380, plain, ( ~hBOOL(hAPP(hAPP(_u10633, _u10634), _u10635)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10636, _u10637, tc_HOL_Obool), _u10633), hAPP(hAPP(c_Product__Type_OPair(_u10636, _u10637), _u10634), _u10635))) )).
% 12.54/12.78 cnf(matrix-5381, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10638), _u10639), hAPP(hAPP(_u10640, _u10641), _u10642))) | hBOOL(hAPP(hAPP(c_member(_u10638), _u10639), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10643, _u10644, tc_fun(_u10638, tc_HOL_Obool)), _u10640), hAPP(hAPP(c_Product__Type_OPair(_u10643, _u10644), _u10641), _u10642)))) )).
% 12.54/12.78 cnf(matrix-5382, plain, ( hBOOL(hAPP(hAPP(_u10647, _u10648), _u10649)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10645, _u10646, tc_HOL_Obool), _u10647), hAPP(hAPP(c_Product__Type_OPair(_u10645, _u10646), _u10648), _u10649))) )).
% 12.54/12.78 cnf(matrix-5383, plain, ( hBOOL(hAPP(hAPP(hAPP(_u10653, _u10654), _u10655), _u10656)) | ~hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10650, _u10651, tc_fun(_u10652, tc_HOL_Obool)), _u10653), hAPP(hAPP(c_Product__Type_OPair(_u10650, _u10651), _u10654), _u10655)), _u10656)) )).
% 12.54/12.78 cnf(matrix-5384, plain, ( ~class_Rings_Osemiring__1(_u10657) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u10657, _u10658, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10659) = _u10659) )).
% 12.54/12.78 cnf(matrix-5385, plain, ( ~class_Rings_Osemiring__1(_u10660) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u10660, _u10661, hAPP(c_Nat_OSuc, _u10662), _u10663) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u10660, _u10661, _u10662, hAPP(_u10661, _u10663))) )).
% 12.54/12.78 cnf(matrix-5386, plain, ( ~hBOOL(hAPP(_u10673, skolem262(_u10677, _u10675, _u10673))) | hBOOL(hAPP(_u10673, hAPP(hAPP(c_Product__Type_OPair(_u10675, _u10677), _u10666), _u10665))) )).
% 12.54/12.78 cnf(matrix-5387, plain, ( ~hBOOL(hAPP(_u10674, hAPP(hAPP(c_Product__Type_OPair(_u10676, _u10678), skolem263(_u10678, _u10676, _u10674)), skolem264(_u10678, _u10676, _u10674)))) | hBOOL(hAPP(_u10674, _u10669)) )).
% 12.54/12.78 cnf(matrix-5388, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u10685, _u10687), _u10689), _u10691) != hAPP(hAPP(c_Product__Type_OPair(_u10685, _u10687), _u10693), _u10695)) | ( _u10689 = _u10693) )).
% 12.54/12.78 cnf(matrix-5389, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u10685, _u10687), _u10689), _u10691) != hAPP(hAPP(c_Product__Type_OPair(_u10685, _u10687), _u10693), _u10695)) | ( _u10691 = _u10695) )).
% 12.54/12.78 cnf(matrix-5390, plain, ( ( _u10690 != _u10694) | ( _u10692 != _u10696) | ( hAPP(hAPP(c_Product__Type_OPair(_u10686, _u10688), _u10690), _u10692) = hAPP(hAPP(c_Product__Type_OPair(_u10686, _u10688), _u10694), _u10696)) )).
% 12.54/12.78 cnf(matrix-5391, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u10697, _u10698), _u10699), _u10700) != hAPP(hAPP(c_Product__Type_OPair(_u10697, _u10698), _u10701), _u10702)) | ( _u10699 = _u10701) )).
% 12.54/12.78 cnf(matrix-5392, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u10697, _u10698), _u10699), _u10700) != hAPP(hAPP(c_Product__Type_OPair(_u10697, _u10698), _u10701), _u10702)) | ( _u10700 = _u10702) )).
% 12.54/12.78 cnf(matrix-5393, plain, ( ( _u10703 != _u10704) | ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10705, _u10706, _u10707), _u10708), _u10703) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10705, _u10706, _u10707), _u10708), _u10704)) )).
% 12.54/12.78 cnf(matrix-5394, plain, ( ( c_Divides_Odivmod__int(_u10709, _u10710) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10709), _u10710)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10709, _u10710))) )).
% 12.54/12.78 cnf(matrix-5395, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10711, _u10712, _u10713), _u10714), hAPP(hAPP(c_Product__Type_OPair(_u10711, _u10712), _u10715), _u10716)) = hAPP(hAPP(_u10714, _u10715), _u10716)) )).
% 12.54/12.78 cnf(matrix-5396, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10717, _u10718, _u10719), _u10720), hAPP(hAPP(c_Product__Type_OPair(_u10717, _u10718), _u10721), _u10722)) = hAPP(hAPP(_u10720, _u10721), _u10722)) )).
% 12.54/12.78 cnf(matrix-5397, plain, ( ( c_Divides_Odivmod__nat(_u10727, _u10725) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10727)) | ( _u10725 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-5398, plain, ( ( c_Divides_Odivmod__nat(_u10727, _u10725) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10727)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10727), _u10725)) )).
% 12.54/12.78 cnf(matrix-5399, plain, ( ( _u10726 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10728), _u10726)) | ( c_Divides_Odivmod__nat(_u10728, _u10726) = 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), _u10728), _u10726), _u10726))) )).
% 12.54/12.78 cnf(matrix-5400, plain, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u10729, _u10730, _u10731), hAPP(hAPP(c_COMBB(tc_fun(_u10730, tc_prod(_u10729, _u10730)), tc_fun(_u10730, _u10731), _u10729), hAPP(c_COMBB(tc_prod(_u10729, _u10730), _u10731, _u10730), _u10732)), c_Product__Type_OPair(_u10729, _u10730))) = _u10732) )).
% 12.54/12.78 cnf(matrix-5401, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10733, _u10734, _u10735), _u10736), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10737, _u10738, tc_prod(_u10733, _u10734)), _u10739), _u10740)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10737, _u10738, _u10735), hAPP(hAPP(c_COMBB(tc_fun(_u10738, tc_prod(_u10733, _u10734)), tc_fun(_u10738, _u10735), _u10737), hAPP(c_COMBB(tc_prod(_u10733, _u10734), _u10735, _u10738), hAPP(c_Product__Type_Oprod_Oprod__case(_u10733, _u10734, _u10735), _u10736))), _u10739)), _u10740)) )).
% 12.54/12.78 cnf(matrix-5402, plain, ( ( c_Nitpick_OFrac = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_Int_Oint), hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), tc_fun(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), tc_Int_Oint), c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), tc_Int_Oint), hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_Int_Oint), c_fequal)), c_Nitpick_Oint__gcd))), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.54/12.78 cnf(matrix-5403, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10743)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10745)) | ( c_Divides_Odivmod__int(_u10743, _u10745) = c_Divides_OposDivAlg(_u10743, _u10745)) )).
% 12.54/12.78 cnf(matrix-5404, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10743)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10745)) | ( _u10743 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u10743, _u10745) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-5405, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10743)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10745)) | ( _u10743 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u10743, _u10745) = hAPP(c_Divides_OnegateSnd, c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10743), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10745)))) )).
% 12.54/12.78 cnf(matrix-5406, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10744)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10746)) | ( c_Divides_Odivmod__int(_u10744, _u10746) = c_Divides_OnegDivAlg(_u10744, _u10746)) )).
% 12.54/12.78 cnf(matrix-5407, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10744)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10746)) | ( c_Divides_Odivmod__int(_u10744, _u10746) = hAPP(c_Divides_OnegateSnd, c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10744), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10746)))) )).
% 12.54/12.78 cnf(matrix-5408, plain, ( ( _u10749 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u10749, _u10751) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-5409, plain, ( ( _u10750 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10752 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u10750, _u10752) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10750)) )).
% 12.54/12.78 cnf(matrix-5410, plain, ( ( _u10750 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10752 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u10750, _u10752) = 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, _u10752))), 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)), _u10752)), hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10750))), hAPP(hAPP(c_fconj, hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10752), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10750), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), c_Divides_Opdivmod(_u10750, _u10752)), 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), _u10752))))), c_Divides_Opdivmod(_u10750, _u10752))))) )).
% 12.54/12.78 cnf(matrix-5411, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u10753, _u10754, _u10755, _u10756), hAPP(hAPP(c_Product__Type_OPair(_u10755, _u10753), _u10757), _u10758)) = hAPP(hAPP(c_Product__Type_OPair(_u10755, _u10754), _u10757), hAPP(_u10756, _u10758))) )).
% 12.54/12.78 cnf(matrix-5412, plain, ( ( c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-5413, plain, ( ( hAPP(c_Divides_OnegateSnd, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10759), _u10760)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10759), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10760))) )).
% 12.54/12.78 cnf(matrix-5414, plain, ( ( c_Divides_Opdivmod(_u10761, _u10762) = 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), _u10761)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u10762))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u10761), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u10762)))) )).
% 12.54/12.78 cnf(matrix-5415, plain, ( ( _u10765 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u10767, _u10765) = 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), _u10767))) )).
% 12.54/12.78 cnf(matrix-5416, plain, ( ( _u10766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u10768, _u10766) = c_Divides_OposDivAlg(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u10768), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u10766))) )).
% 12.54/12.78 cnf(matrix-5417, plain, ( ( _u10771 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u10771, _u10773) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-5418, plain, ( ( _u10772 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10774 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u10772, _u10774) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10772)) )).
% 12.54/12.78 cnf(matrix-5419, plain, ( ( _u10772 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10774 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u10772, _u10774) = 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, _u10774))), 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, _u10772)), c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u10774))), c_Divides_Opdivmod(_u10772, _u10774)), 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), _u10774))))), c_Divides_Opdivmod(_u10772, _u10774))))) )).
% 12.54/12.78 cnf(matrix-5420, plain, ( ( c_Nitpick_Oprod(_u10775, _u10776, _u10777, _u10778) = hAPP(c_Set_OCollect(tc_prod(_u10775, _u10776)), hAPP(c_Product__Type_Oprod_Oprod__case(_u10775, _u10776, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u10775, tc_fun(_u10776, tc_HOL_Obool), tc_fun(_u10776, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u10776, tc_HOL_Obool), tc_fun(_u10776, tc_HOL_Obool)), _u10775), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u10776)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10775), c_fconj), hAPP(hAPP(c_COMBC(_u10775, tc_fun(_u10775, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10775)), _u10777)))), hAPP(hAPP(c_COMBC(_u10776, tc_fun(_u10776, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10776)), _u10778))))) )).
% 12.54/12.78 cnf(matrix-5421, plain, ( ( c_Int_Oint__ge__less__than2(_u10779) = 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), _u10779)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 12.54/12.78 cnf(matrix-5422, plain, ( ( c_Int_Oint__ge__less__than(_u10780) = 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), _u10780)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 12.54/12.78 cnf(matrix-5423, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10781, _u10782), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u10783), _u10784))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10782)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10785), _u10781), _u10782), 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), _u10785), _u10783)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10785), _u10784)), _u10782))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10785), _u10784), _u10782)))) )).
% 12.54/12.78 cnf(matrix-5424, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10786, _u10787), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u10788), _u10789))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10787)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10790)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10786, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10787), _u10790)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u10788), _u10790)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10787), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10788, _u10790))), _u10789)))) )).
% 12.54/12.78 cnf(matrix-5425, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(_u10791, _u10792)), c_Nitpick_Opair__box_OPairBox(_u10791, _u10792, _u10793, _u10794)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-5426, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10795, _u10796), _u10797)) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10795, _u10796), _u10798)) | ( _u10797 = _u10798) )).
% 12.54/12.78 cnf(matrix-5427, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10799, _u10800), c_Divides_Odivmod__nat(_u10799, _u10800))) )).
% 12.54/12.78 cnf(matrix-5428, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10801, _u10802), _u10803)) | ( c_Divides_Odivmod__nat(_u10801, _u10802) = _u10803) )).
% 12.54/12.78 cnf(matrix-5429, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10804, _u10805), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u10806), _u10807))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10804, _u10805) = _u10807) )).
% 12.54/12.78 cnf(matrix-5430, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10808, _u10809), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u10810), _u10811))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u10808), _u10809) = _u10810) )).
% 12.54/12.78 cnf(matrix-5431, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10812, _u10813), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u10812), _u10813)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10812, _u10813)))) )).
% 12.54/12.78 cnf(matrix-5432, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10814, _u10815), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u10816), _u10817))) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u10818, _u10815), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u10819), _u10820))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10815)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10814), _u10818), _u10815), 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), _u10816), _u10819)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10817), _u10820)), _u10815))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10817), _u10820), _u10815)))) )).
% 12.54/12.78 cnf(matrix-5433, plain, ( ( c_Nitpick_Opair__box_Opair__box__rec(_u10821, _u10822, _u10823, _u10824, c_Nitpick_Opair__box_OPairBox(_u10821, _u10822, _u10825, _u10826)) = hAPP(hAPP(_u10824, _u10825), _u10826)) )).
% 12.54/12.78 cnf(matrix-5434, plain, ( ( c_Nitpick_Opair__box_Opair__box__case(_u10827, _u10828, _u10829, _u10830, c_Nitpick_Opair__box_OPairBox(_u10827, _u10828, _u10831, _u10832)) = hAPP(hAPP(_u10830, _u10831), _u10832)) )).
% 12.54/12.78 cnf(matrix-5435, 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), _u10833), _u10834))) | ( c_Divides_OnegDivAlg(_u10833, _u10834) = 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), _u10833), _u10834))) | ~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), _u10833), _u10834))) )).
% 12.54/12.78 cnf(matrix-5436, 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), _u10833), _u10834))) | ( c_Divides_OnegDivAlg(_u10833, _u10834) = 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), _u10833), _u10834))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10834), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-5437, 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), _u10833), _u10834))) | 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), _u10833), _u10834))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10834), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u10833, _u10834) = hAPP(c_Divides_Oadjust(_u10834), c_Divides_OnegDivAlg(_u10833, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u10834)))) )).
% 12.54/12.78 cnf(matrix-5438, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u10835, _u10836), _u10837)) | ~hBOOL(hAPP(hAPP(_u10836, _u10838), _u10837)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u10835, _u10836), _u10838)) )).
% 12.54/12.78 cnf(matrix-5439, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u10844, _u10846), _u10848)) | ~hBOOL(hAPP(hAPP(_u10846, _u10839), _u10848)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u10844, _u10846), _u10839)) )).
% 12.54/12.78 cnf(matrix-5440, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u10845, _u10847), _u10849)) | hBOOL(hAPP(hAPP(_u10847, skolem265(_u10849, _u10847, _u10845)), _u10849)) )).
% 12.54/12.78 cnf(matrix-5441, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u10845, _u10847), _u10849)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u10845, _u10847), skolem265(_u10849, _u10847, _u10845))) )).
% 12.54/12.78 cnf(matrix-5442, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u10855, _u10857), _u10859)) | ~hBOOL(hAPP(hAPP(_u10857, _u10850), _u10859)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u10855, _u10857), _u10850)) )).
% 12.54/12.78 cnf(matrix-5443, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u10856, _u10858), _u10860)) | hBOOL(hAPP(hAPP(_u10858, skolem266(_u10860, _u10858, _u10856)), _u10860)) )).
% 12.54/12.78 cnf(matrix-5444, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u10856, _u10858), _u10860)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u10856, _u10858), skolem266(_u10860, _u10858, _u10856))) )).
% 12.54/12.78 cnf(matrix-5445, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10861, tc_fun(_u10861, tc_HOL_Obool))), _u10862), _u10863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10861, tc_HOL_Obool)), c_Wellfounded_Oaccp(_u10861, _u10863)), c_Wellfounded_Oaccp(_u10861, _u10862))) )).
% 12.54/12.78 cnf(matrix-5446, 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), _u10864), _u10865))) | ( c_Divides_OposDivAlg(_u10864, _u10865) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10864)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10864), _u10865)) )).
% 12.54/12.78 cnf(matrix-5447, 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), _u10864), _u10865))) | ( c_Divides_OposDivAlg(_u10864, _u10865) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10864)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10865), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-5448, 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), _u10864), _u10865))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10864), _u10865)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10865), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u10864, _u10865) = hAPP(c_Divides_Oadjust(_u10865), c_Divides_OposDivAlg(_u10864, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u10865)))) )).
% 12.54/12.78 cnf(matrix-5449, 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), _u10866), _u10867))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10867), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u10866, _u10867) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10866), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10867))) )).
% 12.54/12.78 cnf(matrix-5450, 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), _u10866), _u10867))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10867), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u10866, _u10867) = 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))) | ( _u10866 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.78 cnf(matrix-5451, 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), _u10866), _u10867))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10867), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u10866, _u10867) = 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))) | ( _u10867 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.78 cnf(matrix-5452, 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), _u10866), _u10867))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10867), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u10866 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10867 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u10866, _u10867) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u10866), _u10867)), 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), _u10866))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10867)))) )).
% 12.54/12.78 cnf(matrix-5453, 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), _u10870), _u10871))) | hBOOL(hAPP(hAPP(_u10872, _u10870), _u10871)) | 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), skolem267(_u10872, _u10871, _u10870)), skolem268(_u10872, _u10871, _u10870)))) )).
% 12.54/12.78 cnf(matrix-5454, 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), _u10870), _u10871))) | hBOOL(hAPP(hAPP(_u10872, _u10870), _u10871)) | 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), skolem267(_u10872, _u10871, _u10870)), skolem268(_u10872, _u10871, _u10870)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem268(_u10872, _u10871, _u10870)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u10872, skolem267(_u10872, _u10871, _u10870)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), skolem268(_u10872, _u10871, _u10870)))) )).
% 12.54/12.78 cnf(matrix-5455, 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), _u10870), _u10871))) | hBOOL(hAPP(hAPP(_u10872, _u10870), _u10871)) | ~hBOOL(hAPP(hAPP(_u10872, skolem267(_u10872, _u10871, _u10870)), skolem268(_u10872, _u10871, _u10870))) )).
% 12.54/12.78 cnf(matrix-5456, 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), _u10875), _u10876))) | hBOOL(hAPP(hAPP(_u10877, _u10875), _u10876)) | 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), skolem269(_u10877, _u10876, _u10875)), skolem270(_u10877, _u10876, _u10875)))) )).
% 12.54/12.78 cnf(matrix-5457, 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), _u10875), _u10876))) | hBOOL(hAPP(hAPP(_u10877, _u10875), _u10876)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem269(_u10877, _u10876, _u10875)), skolem270(_u10877, _u10876, _u10875))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem270(_u10877, _u10876, _u10875)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u10877, skolem269(_u10877, _u10876, _u10875)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), skolem270(_u10877, _u10876, _u10875)))) )).
% 12.54/12.78 cnf(matrix-5458, 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), _u10875), _u10876))) | hBOOL(hAPP(hAPP(_u10877, _u10875), _u10876)) | ~hBOOL(hAPP(hAPP(_u10877, skolem269(_u10877, _u10876, _u10875)), skolem270(_u10877, _u10876, _u10875))) )).
% 12.54/12.78 cnf(matrix-5459, 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), _u10878), _u10879))) | ( _u10879 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u10878, _u10879) = _u10878) )).
% 12.54/12.78 cnf(matrix-5460, 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), _u10878), _u10879))) | ( _u10879 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u10878, _u10879) = c_Nitpick_Onat__gcd(_u10879, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10878, _u10879))) )).
% 12.54/12.78 cnf(matrix-5461, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10880, _u10881), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10882), _u10883))) | ( _u10881 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10884)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10880, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10881), _u10884)), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10882), _u10884)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10881), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10882, _u10884))), _u10883)))) )).
% 12.54/12.78 cnf(matrix-5462, plain, ( ( _u10885 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u10885), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) )).
% 12.54/12.78 cnf(matrix-5463, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10886, _u10886), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10887), _u10888))) | ( _u10886 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10888 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.54/12.78 cnf(matrix-5464, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10889, _u10890), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10891), _u10892))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10889, _u10890), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10893), _u10894))) | ( _u10890 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10891 = _u10893) )).
% 12.54/12.78 cnf(matrix-5465, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10895, _u10896), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10897), _u10898))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10895, _u10896), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10899), _u10900))) | ( _u10896 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10898 = _u10900) )).
% 12.54/12.78 cnf(matrix-5466, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10901), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10902)), _u10903)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10901, _u10902), hAPP(c_Divides_OnegateSnd, _u10903))) )).
% 12.54/12.78 cnf(matrix-5467, plain, ( ( _u10904 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10905, _u10904), c_Divides_Odivmod__int(_u10905, _u10904))) )).
% 12.54/12.78 cnf(matrix-5468, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10906, _u10906), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10907), _u10908))) | ( _u10906 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10907 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.54/12.78 cnf(matrix-5469, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10909, _u10910), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10911), _u10912))) | ( _u10910 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10909, _u10910) = _u10912) )).
% 12.54/12.78 cnf(matrix-5470, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10913, _u10914), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10915), _u10916))) | ( _u10914 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10913), _u10914) = _u10915) )).
% 12.54/12.78 cnf(matrix-5471, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10917), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10918)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10917, _u10918), c_Divides_OnegDivAlg(_u10917, _u10918))) )).
% 12.54/12.78 cnf(matrix-5472, plain, ( ( _u10919 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10920, _u10919), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10920), _u10919)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10920, _u10919)))) )).
% 12.54/12.78 cnf(matrix-5473, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10921)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10922)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10921, _u10922), c_Divides_OposDivAlg(_u10921, _u10922))) )).
% 12.54/12.78 cnf(matrix-5474, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10923, _u10924), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10925), _u10926))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10927, _u10924), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10928), _u10929))) | ( _u10924 = 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), _u10923), _u10927), _u10924), 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), _u10925), _u10928)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10926), _u10929)), _u10924))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10926), _u10929), _u10924)))) )).
% 12.54/12.78 cnf(matrix-5475, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10930, _u10931), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10932), _u10933))) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10930), _u10931), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u10933), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10932)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10932)), c_Groups_Oone__class_Oone(tc_Int_Oint)))), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u10933), 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), _u10931), _u10933))))) )).
% 12.54/12.78 cnf(matrix-5476, plain, ( ( _u10934 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10935), _u10936)), _u10937)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10934, _u10935), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10936), _u10937))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10935)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10935), _u10937)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10937), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-5477, plain, ( ( _u10934 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10935), _u10936)), _u10937)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10934, _u10935), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10936), _u10937))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10937)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10937), _u10935)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10935)) )).
% 12.54/12.78 cnf(matrix-5478, plain, ( ( _u10934 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10935), _u10936)), _u10937)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10934, _u10935), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10936), _u10937))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10937)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10937), _u10935)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10935), _u10937)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10937), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.78 cnf(matrix-5479, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10938, _u10939), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10940), _u10941))) | ( _u10939 = 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), _u10942), _u10938), _u10939), 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), _u10942), _u10940)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10942), _u10941)), _u10939))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10942), _u10941), _u10939)))) )).
% 12.54/12.78 cnf(matrix-5480, plain, ( ( c_Divides_Odivmod__int__rel(_u10943, _u10944) = 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, _u10943))), 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), _u10944)))))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10944))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10944))))), 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)), _u10944)))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u10944))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))))) )).
% 12.54/12.78 cnf(matrix-5481, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10946, tc_Int_Oint), _u10948), _u10947) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10946, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u10946), c_Int_Onat), _u10948)), _u10947))) | hBOOL(hAPP(hAPP(c_member(_u10946), skolem271(_u10948, _u10947, _u10946)), _u10947)) )).
% 12.54/12.78 cnf(matrix-5482, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10946, tc_Int_Oint), _u10948), _u10947) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10946, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u10946), c_Int_Onat), _u10948)), _u10947))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u10948, skolem271(_u10948, _u10947, _u10946))) )).
% 12.54/12.78 cnf(matrix-5483, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10949)), 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), _u10949)) = 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), _u10949)))))) )).
% 12.54/12.78 cnf(matrix-5484, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u10960, _u10956)), hAPP(_u10960, _u10958))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10954, _u10954)), hAPP(hAPP(c_Product__Type_OPair(_u10954, _u10954), _u10956), _u10958)), hAPP(c_Wellfounded_Omeasure(_u10954), _u10960))) )).
% 12.54/12.78 cnf(matrix-5485, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u10961, _u10957)), hAPP(_u10961, _u10959))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10955, _u10955)), hAPP(hAPP(c_Product__Type_OPair(_u10955, _u10955), _u10957), _u10959)), hAPP(c_Wellfounded_Omeasure(_u10955), _u10961))) )).
% 12.54/12.78 cnf(matrix-5486, plain, ( ( hAPP(c_Product__Type_Osnd(_u10962, _u10963), hAPP(c_Product__Type_Oapsnd(_u10964, _u10963, _u10962, _u10965), _u10966)) = hAPP(_u10965, hAPP(c_Product__Type_Osnd(_u10962, _u10964), _u10966))) )).
% 12.54/12.78 cnf(matrix-5487, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u10973, _u10975, _u10977, _u10979), _u10981) != hAPP(c_Product__Type_Oapsnd(_u10973, _u10975, _u10977, _u10983), _u10981)) | ( hAPP(_u10979, hAPP(c_Product__Type_Osnd(_u10977, _u10973), _u10981)) = hAPP(_u10983, hAPP(c_Product__Type_Osnd(_u10977, _u10973), _u10981))) )).
% 12.54/12.78 cnf(matrix-5488, plain, ( ( hAPP(_u10980, hAPP(c_Product__Type_Osnd(_u10978, _u10974), _u10982)) != hAPP(_u10984, hAPP(c_Product__Type_Osnd(_u10978, _u10974), _u10982))) | ( hAPP(c_Product__Type_Oapsnd(_u10974, _u10976, _u10978, _u10980), _u10982) = hAPP(c_Product__Type_Oapsnd(_u10974, _u10976, _u10978, _u10984), _u10982)) )).
% 12.54/12.78 cnf(matrix-5489, plain, ( ( hAPP(c_Product__Type_Osnd(_u10985, _u10986), hAPP(hAPP(c_Product__Type_OPair(_u10985, _u10986), _u10987), _u10988)) = _u10988) )).
% 12.54/12.78 cnf(matrix-5490, plain, ( ( _u10992 = _u10993) | ( hAPP(c_Product__Type_Osnd(_u10989, _u10990), hAPP(hAPP(c_Product__Type_OPair(_u10989, _u10990), _u10991), _u10992)) != _u10993) )).
% 12.54/12.78 cnf(matrix-5491, plain, ( ( hAPP(c_Product__Type_Osnd(_u10994, _u10995), _u10996) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10994, _u10995, _u10995), hAPP(c_COMBK(tc_fun(_u10995, _u10995), _u10994), c_COMBI(_u10995))), _u10996)) )).
% 12.54/12.78 cnf(matrix-5492, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10997, _u10998) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u10997, _u10998))) )).
% 12.54/12.78 cnf(matrix-5493, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10999), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11000)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10999, _u11000) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u10999, _u11000))) )).
% 12.54/12.78 cnf(matrix-5494, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11001)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11002)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11001, _u11002) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u11001, _u11002))) )).
% 12.54/12.78 cnf(matrix-5495, 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), _u11003))) | ( 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), _u11003)) = 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), _u11003)))) )).
% 12.54/12.78 cnf(matrix-5496, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11004)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11005), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11004, _u11005) = 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), _u11004), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11005))))) )).
% 12.54/12.78 cnf(matrix-5497, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11006), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11007), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11006, _u11007) = 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), _u11006), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11007))))) )).
% 12.54/12.78 cnf(matrix-5498, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11009, tc_Int_Oint), _u11011), _u11010) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11009, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u11009), c_Int_Onat), _u11011)), _u11010))) | hBOOL(hAPP(hAPP(c_member(_u11009), skolem272(_u11011, _u11010, _u11009)), _u11010)) )).
% 12.54/12.78 cnf(matrix-5499, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11009, tc_Int_Oint), _u11011), _u11010) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11009, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u11009), c_Int_Onat), _u11011)), _u11010))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u11011, skolem272(_u11011, _u11010, _u11009))) )).
% 12.54/12.78 cnf(matrix-5500, 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), _u11014), _u11015))) | hBOOL(hAPP(hAPP(_u11016, _u11014), _u11015)) | 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), skolem273(_u11016, _u11015, _u11014)), skolem274(_u11016, _u11015, _u11014)))) )).
% 12.54/12.78 cnf(matrix-5501, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Nitpick_Onorm__frac__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11014), _u11015))) | hBOOL(hAPP(hAPP(_u11016, _u11014), _u11015)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem274(_u11016, _u11015, _u11014)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u11016, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem273(_u11016, _u11015, _u11014))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem274(_u11016, _u11015, _u11014)))) )).
% 12.54/12.78 cnf(matrix-5502, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Nitpick_Onorm__frac__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11014), _u11015))) | hBOOL(hAPP(hAPP(_u11016, _u11014), _u11015)) | ~hBOOL(hAPP(hAPP(_u11016, skolem273(_u11016, _u11015, _u11014)), skolem274(_u11016, _u11015, _u11014))) )).
% 12.54/12.78 cnf(matrix-5503, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11017)), 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), _u11017)) = 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), _u11017)))))) )).
% 12.54/12.78 cnf(matrix-5504, plain, ( ( _u11022 != _u11024) | ( hAPP(c_Product__Type_Ofst(_u11026, _u11028), _u11022) = hAPP(c_Product__Type_Ofst(_u11026, _u11028), _u11024)) )).
% 12.54/12.78 cnf(matrix-5505, plain, ( ( _u11022 != _u11024) | ( hAPP(c_Product__Type_Osnd(_u11026, _u11028), _u11022) = hAPP(c_Product__Type_Osnd(_u11026, _u11028), _u11024)) )).
% 12.54/12.78 cnf(matrix-5506, plain, ( ( hAPP(c_Product__Type_Ofst(_u11027, _u11029), _u11023) != hAPP(c_Product__Type_Ofst(_u11027, _u11029), _u11025)) | ( hAPP(c_Product__Type_Osnd(_u11027, _u11029), _u11023) != hAPP(c_Product__Type_Osnd(_u11027, _u11029), _u11025)) | ( _u11023 = _u11025) )).
% 12.54/12.78 cnf(matrix-5507, plain, ( ( hAPP(c_Product__Type_Ofst(_u11030, _u11031), _u11032) != hAPP(c_Product__Type_Ofst(_u11030, _u11031), _u11033)) | ( hAPP(c_Product__Type_Osnd(_u11030, _u11031), _u11032) != hAPP(c_Product__Type_Osnd(_u11030, _u11031), _u11033)) | ( _u11032 = _u11033) )).
% 12.54/12.78 cnf(matrix-5508, plain, ( ( hAPP(c_Product__Type_Ofst(_u11034, _u11035), _u11036) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11034, _u11035, _u11034), c_COMBK(_u11034, _u11035)), _u11036)) )).
% 12.54/12.78 cnf(matrix-5509, plain, ( ( _u11039 = _u11041) | ( hAPP(c_Product__Type_Ofst(_u11037, _u11038), hAPP(hAPP(c_Product__Type_OPair(_u11037, _u11038), _u11039), _u11040)) != _u11041) )).
% 12.54/12.78 cnf(matrix-5510, plain, ( ( hAPP(c_Product__Type_Ofst(_u11042, _u11043), hAPP(hAPP(c_Product__Type_OPair(_u11042, _u11043), _u11044), _u11045)) = _u11044) )).
% 12.54/12.78 cnf(matrix-5511, plain, ( ( hAPP(c_Product__Type_Ofst(_u11046, _u11047), hAPP(c_Product__Type_Oapsnd(_u11048, _u11047, _u11046, _u11049), _u11050)) = hAPP(c_Product__Type_Ofst(_u11046, _u11048), _u11050)) )).
% 12.54/12.78 cnf(matrix-5512, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u11051, _u11052), hAPP(c_Product__Type_Ofst(_u11051, _u11052), _u11053)), hAPP(c_Product__Type_Osnd(_u11051, _u11052), _u11053)) = _u11053) )).
% 12.54/12.78 cnf(matrix-5513, plain, ( ( _u11054 = hAPP(hAPP(c_Product__Type_OPair(_u11055, _u11056), hAPP(c_Product__Type_Ofst(_u11055, _u11056), _u11054)), hAPP(c_Product__Type_Osnd(_u11055, _u11056), _u11054))) )).
% 12.54/12.78 cnf(matrix-5514, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11057, _u11058, _u11059), _u11060), _u11061) = hAPP(hAPP(_u11060, hAPP(c_Product__Type_Ofst(_u11057, _u11058), _u11061)), hAPP(c_Product__Type_Osnd(_u11057, _u11058), _u11061))) )).
% 12.54/12.78 cnf(matrix-5515, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11062), _u11063) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u11062, _u11063))) )).
% 12.54/12.78 cnf(matrix-5516, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11064, _u11065) = hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u11064, _u11065))) )).
% 12.54/12.78 cnf(matrix-5517, plain, ( ( hAPP(hAPP(c_COMBS(tc_prod(_u11066, _u11067), _u11067, _u11068), hAPP(hAPP(c_COMBB(_u11069, tc_fun(_u11067, _u11068), tc_prod(_u11066, _u11067)), _u11070), hAPP(hAPP(c_COMBB(_u11066, _u11069, tc_prod(_u11066, _u11067)), _u11071), c_Product__Type_Ofst(_u11066, _u11067)))), c_Product__Type_Osnd(_u11066, _u11067)) = hAPP(c_Product__Type_Oprod_Oprod__case(_u11066, _u11067, _u11068), hAPP(hAPP(c_COMBB(_u11069, tc_fun(_u11067, _u11068), _u11066), _u11070), _u11071))) )).
% 12.54/12.78 cnf(matrix-5518, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11072, _u11073, _u11074), _u11075), _u11076) = hAPP(hAPP(_u11075, hAPP(c_Product__Type_Ofst(_u11072, _u11073), _u11076)), hAPP(c_Product__Type_Osnd(_u11072, _u11073), _u11076))) )).
% 12.54/12.78 cnf(matrix-5519, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11077, _u11078, _u11079), _u11080), _u11081) = hAPP(hAPP(_u11080, hAPP(c_Product__Type_Ofst(_u11077, _u11078), _u11081)), hAPP(c_Product__Type_Osnd(_u11077, _u11078), _u11081))) )).
% 12.54/12.78 cnf(matrix-5520, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11082), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11083)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11082), _u11083) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u11082, _u11083))) )).
% 12.54/12.78 cnf(matrix-5521, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11084)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11085)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11084), _u11085) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u11084, _u11085))) )).
% 12.54/12.78 cnf(matrix-5522, 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), _u11086))) | ( 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), _u11086)) = 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), _u11086)))) )).
% 12.54/12.78 cnf(matrix-5523, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11087)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11088), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11087), _u11088) = 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), _u11087), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11088))))) )).
% 12.54/12.78 cnf(matrix-5524, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11089), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11090), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11089), _u11090) = 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), _u11089), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11090))))) )).
% 12.54/12.78 cnf(matrix-5525, plain, ( ( c_Product__Type_Oprod_Oprod__size(_u11091, _u11092, _u11093, _u11094, _u11095) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u11093, hAPP(c_Product__Type_Ofst(_u11091, _u11092), _u11095))), hAPP(_u11094, hAPP(c_Product__Type_Osnd(_u11091, _u11092), _u11095)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.54/12.78 cnf(matrix-5526, plain, ( ~hBOOL(hAPP(hAPP(_u11096, _u11097), _u11098)) | hBOOL(hAPP(hAPP(_u11096, hAPP(c_Product__Type_Osnd(_u11099, _u11100), hAPP(hAPP(c_Product__Type_OPair(_u11099, _u11100), _u11098), _u11097))), hAPP(c_Product__Type_Ofst(_u11099, _u11100), hAPP(hAPP(c_Product__Type_OPair(_u11099, _u11100), _u11098), _u11097)))) )).
% 12.54/12.78 cnf(matrix-5527, plain, ( ~hBOOL(hAPP(_u11101, _u11102)) | ~hBOOL(hAPP(_u11103, _u11104)) | hBOOL(hAPP(_u11101, hAPP(c_Product__Type_Ofst(_u11105, _u11106), hAPP(hAPP(c_Product__Type_OPair(_u11105, _u11106), _u11102), _u11104)))) )).
% 12.54/12.78 cnf(matrix-5528, plain, ( ~hBOOL(hAPP(_u11101, _u11102)) | ~hBOOL(hAPP(_u11103, _u11104)) | hBOOL(hAPP(_u11103, hAPP(c_Product__Type_Osnd(_u11105, _u11106), hAPP(hAPP(c_Product__Type_OPair(_u11105, _u11106), _u11102), _u11104)))) )).
% 12.54/12.78 cnf(matrix-5529, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u11107), _u11108) = hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u11107, _u11108))) )).
% 12.54/12.78 cnf(matrix-5530, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11112, _u11114), _u11116)) | ( _u11112 = 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), _u11116)), _u11114)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11116))) )).
% 12.54/12.78 cnf(matrix-5531, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11112, _u11114), _u11116)) | ( _u11114 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u11116) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-5532, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11112, _u11114), _u11116)) | ( _u11114 = 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)), _u11114)) | 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), _u11116))) )).
% 12.54/12.78 cnf(matrix-5533, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11112, _u11114), _u11116)) | ( _u11114 = 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)), _u11114)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11116)), _u11114)) )).
% 12.54/12.78 cnf(matrix-5534, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11112, _u11114), _u11116)) | ( _u11114 = 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)), _u11114)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11114), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11116))) )).
% 12.54/12.78 cnf(matrix-5535, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11112, _u11114), _u11116)) | ( _u11114 = 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)), _u11114)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11116)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.78 cnf(matrix-5536, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11113, _u11115), _u11117)) | ( _u11113 != 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), _u11117)), _u11115)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117))) | ( _u11115 = 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)), _u11115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11115), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.78 cnf(matrix-5537, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11113, _u11115), _u11117)) | ( _u11113 != 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), _u11117)), _u11115)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117))) | ( _u11115 = 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), _u11117))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117)), _u11115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11115)) )).
% 12.54/12.78 cnf(matrix-5538, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11113, _u11115), _u11117)) | ( _u11113 != 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), _u11117)), _u11115)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117))) | ( _u11115 = 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), _u11117))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117)), _u11115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11115), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.78 cnf(matrix-5539, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11113, _u11115), _u11117)) | ( _u11113 != 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), _u11117)), _u11115)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u11117) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u11115 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-5540, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11113, _u11115), _u11117)) | ( _u11113 != 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), _u11117)), _u11115)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u11117) != 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)), _u11115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11115), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.78 cnf(matrix-5541, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11113, _u11115), _u11117)) | ( _u11113 != 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), _u11117)), _u11115)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u11117) != 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), _u11117))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117)), _u11115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11115)) )).
% 12.54/12.78 cnf(matrix-5542, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11113, _u11115), _u11117)) | ( _u11113 != 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), _u11117)), _u11115)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u11117) != 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), _u11117))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117)), _u11115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11115), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11117)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.78 cnf(matrix-5543, plain, ( ( hAPP(c_Int_Onat, _u11118) = 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, _u11118)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool))), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool))), tc_Nat_Onat), c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool))), tc_Nat_Onat), hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_Set_Oinsert(tc_Nat_Onat))), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))))) )).
% 12.54/12.78 cnf(matrix-5544, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11120, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11120, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem275(_u11123, _u11122, _u11121, _u11120))), _u11121)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11120, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem275(_u11123, _u11122, _u11121, _u11120)), _u11122))), _u11123))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11120, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11120, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11121)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11120, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11123))) )).
% 12.54/12.78 cnf(matrix-5545, 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), _u11126), _u11127))) | hBOOL(hAPP(hAPP(_u11128, _u11126), _u11127)) | 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), skolem276(_u11128, _u11127, _u11126)), skolem277(_u11128, _u11127, _u11126)))) )).
% 12.54/12.78 cnf(matrix-5546, 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), _u11126), _u11127))) | hBOOL(hAPP(hAPP(_u11128, _u11126), _u11127)) | ( skolem277(_u11128, _u11127, _u11126) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(_u11128, skolem277(_u11128, _u11127, _u11126)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, skolem276(_u11128, _u11127, _u11126), skolem277(_u11128, _u11127, _u11126)))) )).
% 12.54/12.78 cnf(matrix-5547, 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), _u11126), _u11127))) | hBOOL(hAPP(hAPP(_u11128, _u11126), _u11127)) | ~hBOOL(hAPP(hAPP(_u11128, skolem276(_u11128, _u11127, _u11126)), skolem277(_u11128, _u11127, _u11126))) )).
% 12.54/12.78 cnf(matrix-5548, plain, ( ( hAPP(c_Int_ORep__Integ, _u11131) != hAPP(c_Int_ORep__Integ, _u11133)) | ( _u11131 = _u11133) )).
% 12.54/12.78 cnf(matrix-5549, plain, ( ( _u11132 != _u11134) | ( hAPP(c_Int_ORep__Integ, _u11132) = hAPP(c_Int_ORep__Integ, _u11134)) )).
% 12.54/12.78 cnf(matrix-5550, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u11135)) | 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(_u11135), _u11136))), _u11135)) )).
% 12.54/12.78 cnf(matrix-5551, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11138), _u11139)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11140), _u11141)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11138, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u11140, tc_HOL_Obool), tc_Nat_Onat, _u11138), c_Finite__Set_Ocard(_u11140)), hAPP(hAPP(c_COMBB(tc_fun(_u11140, tc_HOL_Obool), tc_fun(_u11140, tc_HOL_Obool), _u11138), c_Set_OCollect(_u11140)), hAPP(hAPP(c_COMBB(tc_fun(_u11140, tc_HOL_Obool), tc_fun(_u11140, tc_HOL_Obool), _u11138), hAPP(c_COMBS(_u11140, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11140), c_fconj), hAPP(hAPP(c_COMBC(_u11140, tc_fun(_u11140, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11140)), _u11141)))), _u11142)))), _u11139) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11143), hAPP(c_Finite__Set_Ocard(_u11140), _u11141))) | hBOOL(hAPP(hAPP(c_member(_u11140), skolem278(_u11143, _u11142, _u11141, _u11140, _u11139, _u11138)), _u11141)) )).
% 12.54/12.78 cnf(matrix-5552, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11138), _u11139)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11140), _u11141)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11138, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u11140, tc_HOL_Obool), tc_Nat_Onat, _u11138), c_Finite__Set_Ocard(_u11140)), hAPP(hAPP(c_COMBB(tc_fun(_u11140, tc_HOL_Obool), tc_fun(_u11140, tc_HOL_Obool), _u11138), c_Set_OCollect(_u11140)), hAPP(hAPP(c_COMBB(tc_fun(_u11140, tc_HOL_Obool), tc_fun(_u11140, tc_HOL_Obool), _u11138), hAPP(c_COMBS(_u11140, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11140), c_fconj), hAPP(hAPP(c_COMBC(_u11140, tc_fun(_u11140, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11140)), _u11141)))), _u11142)))), _u11139) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11143), hAPP(c_Finite__Set_Ocard(_u11140), _u11141))) | ( hAPP(c_Finite__Set_Ocard(_u11138), hAPP(c_Set_OCollect(_u11138), hAPP(hAPP(c_COMBS(_u11138, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11138), c_fconj), hAPP(hAPP(c_COMBC(_u11138, tc_fun(_u11138, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11138)), _u11139))), hAPP(hAPP(c_COMBC(_u11138, _u11140, tc_HOL_Obool), _u11142), skolem278(_u11143, _u11142, _u11141, _u11140, _u11139, _u11138))))) != _u11143) )).
% 12.54/12.78 cnf(matrix-5553, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u11144, _u11145)), hAPP(_u11144, _u11146))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11147, _u11147)), hAPP(hAPP(c_Product__Type_OPair(_u11147, _u11147), _u11145), _u11146)), _u11148)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11147, _u11147)), hAPP(hAPP(c_Product__Type_OPair(_u11147, _u11147), _u11145), _u11146)), c_Wellfounded_Omlex__prod(_u11147, _u11144, _u11148))) )).
% 12.54/12.78 cnf(matrix-5554, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u11149, _u11150)), hAPP(_u11149, _u11151))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11152, _u11152)), hAPP(hAPP(c_Product__Type_OPair(_u11152, _u11152), _u11150), _u11151)), c_Wellfounded_Omlex__prod(_u11152, _u11149, _u11153))) )).
% 12.54/12.78 cnf(matrix-5555, plain, ( ( c_Wellfounded_Ofinite__psubset(_u11154) = hAPP(c_Set_OCollect(tc_prod(tc_fun(_u11154, tc_HOL_Obool), tc_fun(_u11154, tc_HOL_Obool))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(_u11154, tc_HOL_Obool), tc_fun(_u11154, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u11154, tc_HOL_Obool), tc_fun(tc_fun(_u11154, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u11154, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11154, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u11154, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u11154, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u11154, tc_HOL_Obool)), c_COMBS(tc_fun(_u11154, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11154, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u11154, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u11154, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u11154, tc_HOL_Obool)), c_fconj)), c_Orderings_Oord__class_Oless(tc_fun(_u11154, tc_HOL_Obool))))), c_Finite__Set_Ofinite(_u11154))))) )).
% 12.54/12.78 cnf(matrix-5556, plain, ( ~class_Orderings_Olinorder(_u11155) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11155), _u11156)) | ( _u11156 = c_Orderings_Obot__class_Obot(tc_fun(_u11155, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11155), _u11157)) | ( _u11157 = c_Orderings_Obot__class_Obot(tc_fun(_u11155, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11155), c_Big__Operators_Olattice_OInf__fin(_u11155, c_Orderings_Oord__class_Omin(_u11155), _u11156)), c_Big__Operators_Olattice_OInf__fin(_u11155, c_Orderings_Oord__class_Omin(_u11155), _u11157)) = c_Big__Operators_Olattice_OInf__fin(_u11155, c_Orderings_Oord__class_Omin(_u11155), hAPP(c_Set_OCollect(_u11155), hAPP(hAPP(c_COMBB(tc_fun(_u11155, tc_HOL_Obool), tc_HOL_Obool, _u11155), c_HOL_OEx(_u11155)), hAPP(hAPP(c_COMBB(tc_fun(_u11155, tc_fun(_u11155, tc_HOL_Obool)), tc_fun(_u11155, tc_HOL_Obool), _u11155), hAPP(c_COMBB(tc_fun(_u11155, tc_HOL_Obool), tc_HOL_Obool, _u11155), c_HOL_OEx(_u11155))), hAPP(hAPP(c_COMBC(_u11155, tc_fun(_u11155, tc_fun(_u11155, tc_HOL_Obool)), tc_fun(_u11155, tc_fun(_u11155, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11155, tc_fun(tc_fun(_u11155, tc_HOL_Obool), tc_fun(_u11155, tc_HOL_Obool))), tc_fun(tc_fun(_u11155, tc_fun(_u11155, tc_HOL_Obool)), tc_fun(_u11155, tc_fun(_u11155, tc_HOL_Obool))), _u11155), c_COMBS(_u11155, tc_fun(_u11155, tc_HOL_Obool), tc_fun(_u11155, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11155, tc_fun(_u11155, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u11155, tc_fun(tc_fun(_u11155, tc_HOL_Obool), tc_fun(_u11155, tc_HOL_Obool))), _u11155), hAPP(c_COMBB(tc_fun(_u11155, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u11155, tc_HOL_Obool), tc_fun(_u11155, tc_HOL_Obool)), _u11155), c_COMBS(_u11155, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11155, tc_fun(_u11155, tc_HOL_Obool)), tc_fun(_u11155, tc_fun(_u11155, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u11155), hAPP(c_COMBB(tc_fun(_u11155, tc_HOL_Obool), tc_fun(_u11155, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u11155), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11155), c_fconj))), hAPP(hAPP(c_COMBC(_u11155, tc_fun(_u11155, tc_fun(_u11155, _u11155)), tc_fun(_u11155, tc_fun(_u11155, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11155, _u11155), tc_fun(_u11155, tc_HOL_Obool)), tc_fun(tc_fun(_u11155, tc_fun(_u11155, _u11155)), tc_fun(_u11155, tc_fun(_u11155, tc_HOL_Obool))), _u11155), c_COMBB(tc_fun(_u11155, _u11155), tc_fun(_u11155, tc_HOL_Obool), _u11155)), hAPP(hAPP(c_COMBB(tc_fun(_u11155, tc_HOL_Obool), tc_fun(tc_fun(_u11155, _u11155), tc_fun(_u11155, tc_HOL_Obool)), _u11155), c_COMBB(_u11155, tc_HOL_Obool, _u11155)), c_fequal))), c_Orderings_Oord__class_Omax(_u11155)))))), hAPP(hAPP(c_COMBC(_u11155, tc_fun(_u11155, tc_HOL_Obool), tc_fun(_u11155, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u11155, tc_HOL_Obool), tc_fun(_u11155, tc_HOL_Obool)), _u11155), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u11155)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11155), c_fconj), hAPP(hAPP(c_COMBC(_u11155, tc_fun(_u11155, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11155)), _u11156)))), hAPP(hAPP(c_COMBC(_u11155, tc_fun(_u11155, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11155)), _u11157)))))))) )).
% 12.54/12.78 cnf(matrix-5557, plain, ( ~class_Orderings_Olinorder(_u11158) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11158), _u11159)) | ( _u11159 = c_Orderings_Obot__class_Obot(tc_fun(_u11158, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u11158), _u11160), c_Big__Operators_Olattice_OInf__fin(_u11158, c_Orderings_Oord__class_Omin(_u11158), _u11159)) = c_Big__Operators_Olattice_OInf__fin(_u11158, c_Orderings_Oord__class_Omin(_u11158), hAPP(c_Set_OCollect(_u11158), hAPP(hAPP(c_COMBB(tc_fun(_u11158, tc_HOL_Obool), tc_HOL_Obool, _u11158), c_HOL_OEx(_u11158)), hAPP(hAPP(c_COMBC(_u11158, tc_fun(_u11158, tc_HOL_Obool), tc_fun(_u11158, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11158, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u11158, tc_HOL_Obool), tc_fun(_u11158, tc_HOL_Obool)), _u11158), c_COMBS(_u11158, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11158, tc_HOL_Obool), tc_fun(_u11158, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u11158), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11158), c_fconj)), hAPP(hAPP(c_COMBC(_u11158, tc_fun(_u11158, _u11158), tc_fun(_u11158, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11158, tc_HOL_Obool), tc_fun(tc_fun(_u11158, _u11158), tc_fun(_u11158, tc_HOL_Obool)), _u11158), c_COMBB(_u11158, tc_HOL_Obool, _u11158)), c_fequal)), hAPP(c_Orderings_Oord__class_Omax(_u11158), _u11160))))), hAPP(hAPP(c_COMBC(_u11158, tc_fun(_u11158, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11158)), _u11159)))))) )).
% 12.54/12.78 cnf(matrix-5558, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11163), hAPP(c_Set_OCollect(_u11163), _u11164))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11165), hAPP(c_Set_OCollect(_u11165), hAPP(hAPP(c_COMBB(tc_fun(_u11163, tc_HOL_Obool), tc_HOL_Obool, _u11165), c_HOL_OEx(_u11163)), hAPP(hAPP(c_COMBB(tc_fun(_u11163, tc_HOL_Obool), tc_fun(_u11163, tc_HOL_Obool), _u11165), hAPP(c_COMBS(_u11163, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11163), c_fconj), _u11164))), _u11166))))) | ~hBOOL(hAPP(_u11164, _u11161)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11165), hAPP(c_Set_OCollect(_u11165), hAPP(hAPP(c_COMBC(_u11165, _u11163, tc_HOL_Obool), _u11166), _u11161)))) )).
% 12.54/12.78 cnf(matrix-5559, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11163), hAPP(c_Set_OCollect(_u11163), _u11164))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11165), hAPP(c_Set_OCollect(_u11165), hAPP(hAPP(c_COMBB(tc_fun(_u11163, tc_HOL_Obool), tc_HOL_Obool, _u11165), c_HOL_OEx(_u11163)), hAPP(hAPP(c_COMBB(tc_fun(_u11163, tc_HOL_Obool), tc_fun(_u11163, tc_HOL_Obool), _u11165), hAPP(c_COMBS(_u11163, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11163), c_fconj), _u11164))), _u11166))))) | hBOOL(hAPP(_u11164, skolem279(_u11166, _u11165, _u11164, _u11163))) )).
% 12.54/12.78 cnf(matrix-5560, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11163), hAPP(c_Set_OCollect(_u11163), _u11164))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11165), hAPP(c_Set_OCollect(_u11165), hAPP(hAPP(c_COMBB(tc_fun(_u11163, tc_HOL_Obool), tc_HOL_Obool, _u11165), c_HOL_OEx(_u11163)), hAPP(hAPP(c_COMBB(tc_fun(_u11163, tc_HOL_Obool), tc_fun(_u11163, tc_HOL_Obool), _u11165), hAPP(c_COMBS(_u11163, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11163), c_fconj), _u11164))), _u11166))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11165), hAPP(c_Set_OCollect(_u11165), hAPP(hAPP(c_COMBC(_u11165, _u11163, tc_HOL_Obool), _u11166), skolem279(_u11166, _u11165, _u11164, _u11163))))) )).
% 12.54/12.78 cnf(matrix-5561, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11167), hAPP(c_Set_OCollect(_u11167), _u11168))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11169), hAPP(c_Set_OCollect(_u11169), hAPP(hAPP(c_COMBB(tc_fun(_u11167, tc_HOL_Obool), tc_HOL_Obool, _u11169), c_HOL_OEx(_u11167)), hAPP(hAPP(c_COMBC(_u11169, tc_fun(_u11167, tc_HOL_Obool), tc_fun(_u11167, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11167, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u11167, tc_HOL_Obool), tc_fun(_u11167, tc_HOL_Obool)), _u11169), c_COMBS(_u11167, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11167, tc_HOL_Obool), tc_fun(_u11167, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u11169), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11167), c_fconj)), hAPP(hAPP(c_COMBC(_u11169, tc_fun(_u11167, _u11169), tc_fun(_u11167, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11169, tc_HOL_Obool), tc_fun(tc_fun(_u11167, _u11169), tc_fun(_u11167, tc_HOL_Obool)), _u11169), c_COMBB(_u11169, tc_HOL_Obool, _u11167)), c_fequal)), _u11170)))), _u11168))))) )).
% 12.54/12.78 cnf(matrix-5562, plain, ( ( hAPP(c_Set_OPow(_u11171), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11171, tc_HOL_Obool)), _u11172)) = hAPP(c_Set_OCollect(tc_fun(_u11171, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11171, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u11171, tc_HOL_Obool)), c_HOL_OEx(tc_fun(_u11171, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u11171, tc_HOL_Obool), tc_fun(tc_fun(_u11171, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u11171, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11171, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u11171, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u11171, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u11171, tc_HOL_Obool)), c_COMBS(tc_fun(_u11171, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11171, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u11171, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u11171, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u11171, tc_HOL_Obool)), c_fconj)), hAPP(hAPP(c_COMBC(tc_fun(_u11171, tc_HOL_Obool), tc_fun(tc_fun(_u11171, tc_HOL_Obool), tc_fun(_u11171, tc_HOL_Obool)), tc_fun(tc_fun(_u11171, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11171, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u11171, tc_HOL_Obool), tc_fun(_u11171, tc_HOL_Obool)), tc_fun(tc_fun(_u11171, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u11171, tc_HOL_Obool)), c_COMBB(tc_fun(_u11171, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u11171, tc_HOL_Obool))), c_fequal)), c_Groups_Ouminus__class_Ouminus(tc_fun(_u11171, tc_HOL_Obool)))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11171, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u11171, tc_HOL_Obool)), hAPP(c_member(tc_fun(_u11171, tc_HOL_Obool)), _u11172)), c_Set_OPow(_u11171)))))) )).
% 12.54/12.78 cnf(matrix-5563, plain, ( ~class_Groups_Olinordered__ab__semigroup__add(_u11173) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11173), _u11174)) | ( _u11174 = c_Orderings_Obot__class_Obot(tc_fun(_u11173, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11173), _u11175), c_Big__Operators_Olinorder__class_OMax(_u11173, _u11174)) = c_Big__Operators_Olinorder__class_OMax(_u11173, hAPP(c_Set_OCollect(_u11173), hAPP(hAPP(c_COMBB(tc_fun(_u11173, tc_HOL_Obool), tc_HOL_Obool, _u11173), c_HOL_OEx(_u11173)), hAPP(hAPP(c_COMBC(_u11173, tc_fun(_u11173, tc_HOL_Obool), tc_fun(_u11173, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11173, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u11173, tc_HOL_Obool), tc_fun(_u11173, tc_HOL_Obool)), _u11173), c_COMBS(_u11173, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11173, tc_HOL_Obool), tc_fun(_u11173, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u11173), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11173), c_fconj)), hAPP(hAPP(c_COMBC(_u11173, tc_fun(_u11173, _u11173), tc_fun(_u11173, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11173, tc_HOL_Obool), tc_fun(tc_fun(_u11173, _u11173), tc_fun(_u11173, tc_HOL_Obool)), _u11173), c_COMBB(_u11173, tc_HOL_Obool, _u11173)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u11173), _u11175))))), hAPP(hAPP(c_COMBC(_u11173, tc_fun(_u11173, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11173)), _u11174)))))) )).
% 12.54/12.78 cnf(matrix-5564, plain, ( ~class_Groups_Olinordered__ab__semigroup__add(_u11176) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11176), _u11177)) | ( _u11177 = c_Orderings_Obot__class_Obot(tc_fun(_u11176, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11176), _u11178), c_Big__Operators_Olinorder__class_OMin(_u11176, _u11177)) = c_Big__Operators_Olinorder__class_OMin(_u11176, hAPP(c_Set_OCollect(_u11176), hAPP(hAPP(c_COMBB(tc_fun(_u11176, tc_HOL_Obool), tc_HOL_Obool, _u11176), c_HOL_OEx(_u11176)), hAPP(hAPP(c_COMBC(_u11176, tc_fun(_u11176, tc_HOL_Obool), tc_fun(_u11176, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11176, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u11176, tc_HOL_Obool), tc_fun(_u11176, tc_HOL_Obool)), _u11176), c_COMBS(_u11176, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11176, tc_HOL_Obool), tc_fun(_u11176, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u11176), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11176), c_fconj)), hAPP(hAPP(c_COMBC(_u11176, tc_fun(_u11176, _u11176), tc_fun(_u11176, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11176, tc_HOL_Obool), tc_fun(tc_fun(_u11176, _u11176), tc_fun(_u11176, tc_HOL_Obool)), _u11176), c_COMBB(_u11176, tc_HOL_Obool, _u11176)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u11176), _u11178))))), hAPP(hAPP(c_COMBC(_u11176, tc_fun(_u11176, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11176)), _u11177)))))) )).
% 12.54/12.78 cnf(matrix-5565, plain, ( ~class_Lattices_Odistrib__lattice(_u11179) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11179), _u11180)) | ( _u11180 = c_Orderings_Obot__class_Obot(tc_fun(_u11179, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11179), _u11181), c_Big__Operators_Olattice__class_OInf__fin(_u11179, _u11180)) = c_Big__Operators_Olattice__class_OInf__fin(_u11179, hAPP(c_Set_OCollect(_u11179), hAPP(hAPP(c_COMBB(tc_fun(_u11179, tc_HOL_Obool), tc_HOL_Obool, _u11179), c_HOL_OEx(_u11179)), hAPP(hAPP(c_COMBC(_u11179, tc_fun(_u11179, tc_HOL_Obool), tc_fun(_u11179, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11179, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u11179, tc_HOL_Obool), tc_fun(_u11179, tc_HOL_Obool)), _u11179), c_COMBS(_u11179, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11179, tc_HOL_Obool), tc_fun(_u11179, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u11179), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11179), c_fconj)), hAPP(hAPP(c_COMBC(_u11179, tc_fun(_u11179, _u11179), tc_fun(_u11179, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11179, tc_HOL_Obool), tc_fun(tc_fun(_u11179, _u11179), tc_fun(_u11179, tc_HOL_Obool)), _u11179), c_COMBB(_u11179, tc_HOL_Obool, _u11179)), c_fequal)), hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11179), _u11181))))), hAPP(hAPP(c_COMBC(_u11179, tc_fun(_u11179, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11179)), _u11180)))))) )).
% 12.54/12.78 cnf(matrix-5566, plain, ( ~class_Lattices_Odistrib__lattice(_u11182) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11182), _u11183)) | ( _u11183 = c_Orderings_Obot__class_Obot(tc_fun(_u11182, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11182), _u11184)) | ( _u11184 = c_Orderings_Obot__class_Obot(tc_fun(_u11182, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11182), c_Big__Operators_Olattice__class_OInf__fin(_u11182, _u11183)), c_Big__Operators_Olattice__class_OInf__fin(_u11182, _u11184)) = c_Big__Operators_Olattice__class_OInf__fin(_u11182, hAPP(c_Set_OCollect(_u11182), hAPP(hAPP(c_COMBB(tc_fun(_u11182, tc_HOL_Obool), tc_HOL_Obool, _u11182), c_HOL_OEx(_u11182)), hAPP(hAPP(c_COMBB(tc_fun(_u11182, tc_fun(_u11182, tc_HOL_Obool)), tc_fun(_u11182, tc_HOL_Obool), _u11182), hAPP(c_COMBB(tc_fun(_u11182, tc_HOL_Obool), tc_HOL_Obool, _u11182), c_HOL_OEx(_u11182))), hAPP(hAPP(c_COMBC(_u11182, tc_fun(_u11182, tc_fun(_u11182, tc_HOL_Obool)), tc_fun(_u11182, tc_fun(_u11182, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11182, tc_fun(tc_fun(_u11182, tc_HOL_Obool), tc_fun(_u11182, tc_HOL_Obool))), tc_fun(tc_fun(_u11182, tc_fun(_u11182, tc_HOL_Obool)), tc_fun(_u11182, tc_fun(_u11182, tc_HOL_Obool))), _u11182), c_COMBS(_u11182, tc_fun(_u11182, tc_HOL_Obool), tc_fun(_u11182, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11182, tc_fun(_u11182, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u11182, tc_fun(tc_fun(_u11182, tc_HOL_Obool), tc_fun(_u11182, tc_HOL_Obool))), _u11182), hAPP(c_COMBB(tc_fun(_u11182, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u11182, tc_HOL_Obool), tc_fun(_u11182, tc_HOL_Obool)), _u11182), c_COMBS(_u11182, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11182, tc_fun(_u11182, tc_HOL_Obool)), tc_fun(_u11182, tc_fun(_u11182, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u11182), hAPP(c_COMBB(tc_fun(_u11182, tc_HOL_Obool), tc_fun(_u11182, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u11182), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11182), c_fconj))), hAPP(hAPP(c_COMBC(_u11182, tc_fun(_u11182, tc_fun(_u11182, _u11182)), tc_fun(_u11182, tc_fun(_u11182, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11182, _u11182), tc_fun(_u11182, tc_HOL_Obool)), tc_fun(tc_fun(_u11182, tc_fun(_u11182, _u11182)), tc_fun(_u11182, tc_fun(_u11182, tc_HOL_Obool))), _u11182), c_COMBB(tc_fun(_u11182, _u11182), tc_fun(_u11182, tc_HOL_Obool), _u11182)), hAPP(hAPP(c_COMBB(tc_fun(_u11182, tc_HOL_Obool), tc_fun(tc_fun(_u11182, _u11182), tc_fun(_u11182, tc_HOL_Obool)), _u11182), c_COMBB(_u11182, tc_HOL_Obool, _u11182)), c_fequal))), c_Lattices_Osemilattice__sup__class_Osup(_u11182)))))), hAPP(hAPP(c_COMBC(_u11182, tc_fun(_u11182, tc_HOL_Obool), tc_fun(_u11182, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u11182, tc_HOL_Obool), tc_fun(_u11182, tc_HOL_Obool)), _u11182), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u11182)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11182), c_fconj), hAPP(hAPP(c_COMBC(_u11182, tc_fun(_u11182, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11182)), _u11183)))), hAPP(hAPP(c_COMBC(_u11182, tc_fun(_u11182, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11182)), _u11184)))))))) )).
% 12.54/12.78 cnf(matrix-5567, plain, ( ~class_Lattices_Odistrib__lattice(_u11185) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11185), _u11186)) | ( _u11186 = c_Orderings_Obot__class_Obot(tc_fun(_u11185, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11185), _u11187), c_Big__Operators_Olattice__class_OSup__fin(_u11185, _u11186)) = c_Big__Operators_Olattice__class_OSup__fin(_u11185, hAPP(c_Set_OCollect(_u11185), hAPP(hAPP(c_COMBB(tc_fun(_u11185, tc_HOL_Obool), tc_HOL_Obool, _u11185), c_HOL_OEx(_u11185)), hAPP(hAPP(c_COMBC(_u11185, tc_fun(_u11185, tc_HOL_Obool), tc_fun(_u11185, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11185, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u11185, tc_HOL_Obool), tc_fun(_u11185, tc_HOL_Obool)), _u11185), c_COMBS(_u11185, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11185, tc_HOL_Obool), tc_fun(_u11185, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u11185), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11185), c_fconj)), hAPP(hAPP(c_COMBC(_u11185, tc_fun(_u11185, _u11185), tc_fun(_u11185, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11185, tc_HOL_Obool), tc_fun(tc_fun(_u11185, _u11185), tc_fun(_u11185, tc_HOL_Obool)), _u11185), c_COMBB(_u11185, tc_HOL_Obool, _u11185)), c_fequal)), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11185), _u11187))))), hAPP(hAPP(c_COMBC(_u11185, tc_fun(_u11185, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11185)), _u11186)))))) )).
% 12.54/12.78 cnf(matrix-5568, plain, ( ~class_Lattices_Odistrib__lattice(_u11188) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11188), _u11189)) | ( _u11189 = c_Orderings_Obot__class_Obot(tc_fun(_u11188, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11188), _u11190)) | ( _u11190 = c_Orderings_Obot__class_Obot(tc_fun(_u11188, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11188), c_Big__Operators_Olattice__class_OSup__fin(_u11188, _u11189)), c_Big__Operators_Olattice__class_OSup__fin(_u11188, _u11190)) = c_Big__Operators_Olattice__class_OSup__fin(_u11188, hAPP(c_Set_OCollect(_u11188), hAPP(hAPP(c_COMBB(tc_fun(_u11188, tc_HOL_Obool), tc_HOL_Obool, _u11188), c_HOL_OEx(_u11188)), hAPP(hAPP(c_COMBB(tc_fun(_u11188, tc_fun(_u11188, tc_HOL_Obool)), tc_fun(_u11188, tc_HOL_Obool), _u11188), hAPP(c_COMBB(tc_fun(_u11188, tc_HOL_Obool), tc_HOL_Obool, _u11188), c_HOL_OEx(_u11188))), hAPP(hAPP(c_COMBC(_u11188, tc_fun(_u11188, tc_fun(_u11188, tc_HOL_Obool)), tc_fun(_u11188, tc_fun(_u11188, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11188, tc_fun(tc_fun(_u11188, tc_HOL_Obool), tc_fun(_u11188, tc_HOL_Obool))), tc_fun(tc_fun(_u11188, tc_fun(_u11188, tc_HOL_Obool)), tc_fun(_u11188, tc_fun(_u11188, tc_HOL_Obool))), _u11188), c_COMBS(_u11188, tc_fun(_u11188, tc_HOL_Obool), tc_fun(_u11188, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11188, tc_fun(_u11188, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u11188, tc_fun(tc_fun(_u11188, tc_HOL_Obool), tc_fun(_u11188, tc_HOL_Obool))), _u11188), hAPP(c_COMBB(tc_fun(_u11188, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u11188, tc_HOL_Obool), tc_fun(_u11188, tc_HOL_Obool)), _u11188), c_COMBS(_u11188, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11188, tc_fun(_u11188, tc_HOL_Obool)), tc_fun(_u11188, tc_fun(_u11188, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u11188), hAPP(c_COMBB(tc_fun(_u11188, tc_HOL_Obool), tc_fun(_u11188, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u11188), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11188), c_fconj))), hAPP(hAPP(c_COMBC(_u11188, tc_fun(_u11188, tc_fun(_u11188, _u11188)), tc_fun(_u11188, tc_fun(_u11188, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11188, _u11188), tc_fun(_u11188, tc_HOL_Obool)), tc_fun(tc_fun(_u11188, tc_fun(_u11188, _u11188)), tc_fun(_u11188, tc_fun(_u11188, tc_HOL_Obool))), _u11188), c_COMBB(tc_fun(_u11188, _u11188), tc_fun(_u11188, tc_HOL_Obool), _u11188)), hAPP(hAPP(c_COMBB(tc_fun(_u11188, tc_HOL_Obool), tc_fun(tc_fun(_u11188, _u11188), tc_fun(_u11188, tc_HOL_Obool)), _u11188), c_COMBB(_u11188, tc_HOL_Obool, _u11188)), c_fequal))), c_Lattices_Osemilattice__inf__class_Oinf(_u11188)))))), hAPP(hAPP(c_COMBC(_u11188, tc_fun(_u11188, tc_HOL_Obool), tc_fun(_u11188, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u11188, tc_HOL_Obool), tc_fun(_u11188, tc_HOL_Obool)), _u11188), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u11188)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11188), c_fconj), hAPP(hAPP(c_COMBC(_u11188, tc_fun(_u11188, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11188)), _u11189)))), hAPP(hAPP(c_COMBC(_u11188, tc_fun(_u11188, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11188)), _u11190)))))))) )).
% 12.54/12.78 cnf(matrix-5569, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11194, tc_HOL_Obool), tc_fun(_u11194, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11194, tc_HOL_Obool), tc_fun(_u11194, tc_HOL_Obool)), _u11196), _u11198)), c_Wellfounded_Ofinite__psubset(_u11194))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11194, tc_HOL_Obool)), _u11196), _u11198)) )).
% 12.54/12.78 cnf(matrix-5570, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11194, tc_HOL_Obool), tc_fun(_u11194, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11194, tc_HOL_Obool), tc_fun(_u11194, tc_HOL_Obool)), _u11196), _u11198)), c_Wellfounded_Ofinite__psubset(_u11194))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11194), _u11198)) )).
% 12.54/12.78 cnf(matrix-5571, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11195, tc_HOL_Obool)), _u11197), _u11199)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11195), _u11199)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11195, tc_HOL_Obool), tc_fun(_u11195, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11195, tc_HOL_Obool), tc_fun(_u11195, tc_HOL_Obool)), _u11197), _u11199)), c_Wellfounded_Ofinite__psubset(_u11195))) )).
% 12.54/12.78 cnf(matrix-5572, plain, ( ~class_Orderings_Olinorder(_u11200) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11200), _u11201)) | ( _u11201 = c_Orderings_Obot__class_Obot(tc_fun(_u11200, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11200), _u11202)) | ( _u11202 = c_Orderings_Obot__class_Obot(tc_fun(_u11200, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11200), c_Big__Operators_Olattice_OSup__fin(_u11200, c_Orderings_Oord__class_Omax(_u11200), _u11201)), c_Big__Operators_Olattice_OSup__fin(_u11200, c_Orderings_Oord__class_Omax(_u11200), _u11202)) = c_Big__Operators_Olattice_OSup__fin(_u11200, c_Orderings_Oord__class_Omax(_u11200), hAPP(c_Set_OCollect(_u11200), hAPP(hAPP(c_COMBB(tc_fun(_u11200, tc_HOL_Obool), tc_HOL_Obool, _u11200), c_HOL_OEx(_u11200)), hAPP(hAPP(c_COMBB(tc_fun(_u11200, tc_fun(_u11200, tc_HOL_Obool)), tc_fun(_u11200, tc_HOL_Obool), _u11200), hAPP(c_COMBB(tc_fun(_u11200, tc_HOL_Obool), tc_HOL_Obool, _u11200), c_HOL_OEx(_u11200))), hAPP(hAPP(c_COMBC(_u11200, tc_fun(_u11200, tc_fun(_u11200, tc_HOL_Obool)), tc_fun(_u11200, tc_fun(_u11200, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11200, tc_fun(tc_fun(_u11200, tc_HOL_Obool), tc_fun(_u11200, tc_HOL_Obool))), tc_fun(tc_fun(_u11200, tc_fun(_u11200, tc_HOL_Obool)), tc_fun(_u11200, tc_fun(_u11200, tc_HOL_Obool))), _u11200), c_COMBS(_u11200, tc_fun(_u11200, tc_HOL_Obool), tc_fun(_u11200, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11200, tc_fun(_u11200, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u11200, tc_fun(tc_fun(_u11200, tc_HOL_Obool), tc_fun(_u11200, tc_HOL_Obool))), _u11200), hAPP(c_COMBB(tc_fun(_u11200, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u11200, tc_HOL_Obool), tc_fun(_u11200, tc_HOL_Obool)), _u11200), c_COMBS(_u11200, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11200, tc_fun(_u11200, tc_HOL_Obool)), tc_fun(_u11200, tc_fun(_u11200, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u11200), hAPP(c_COMBB(tc_fun(_u11200, tc_HOL_Obool), tc_fun(_u11200, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u11200), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11200), c_fconj))), hAPP(hAPP(c_COMBC(_u11200, tc_fun(_u11200, tc_fun(_u11200, _u11200)), tc_fun(_u11200, tc_fun(_u11200, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11200, _u11200), tc_fun(_u11200, tc_HOL_Obool)), tc_fun(tc_fun(_u11200, tc_fun(_u11200, _u11200)), tc_fun(_u11200, tc_fun(_u11200, tc_HOL_Obool))), _u11200), c_COMBB(tc_fun(_u11200, _u11200), tc_fun(_u11200, tc_HOL_Obool), _u11200)), hAPP(hAPP(c_COMBB(tc_fun(_u11200, tc_HOL_Obool), tc_fun(tc_fun(_u11200, _u11200), tc_fun(_u11200, tc_HOL_Obool)), _u11200), c_COMBB(_u11200, tc_HOL_Obool, _u11200)), c_fequal))), c_Orderings_Oord__class_Omin(_u11200)))))), hAPP(hAPP(c_COMBC(_u11200, tc_fun(_u11200, tc_HOL_Obool), tc_fun(_u11200, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u11200, tc_HOL_Obool), tc_fun(_u11200, tc_HOL_Obool)), _u11200), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u11200)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11200), c_fconj), hAPP(hAPP(c_COMBC(_u11200, tc_fun(_u11200, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11200)), _u11201)))), hAPP(hAPP(c_COMBC(_u11200, tc_fun(_u11200, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11200)), _u11202)))))))) )).
% 12.54/12.78 cnf(matrix-5573, plain, ( ~class_Orderings_Olinorder(_u11203) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11203), _u11204)) | ( _u11204 = c_Orderings_Obot__class_Obot(tc_fun(_u11203, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u11203), _u11205), c_Big__Operators_Olattice_OSup__fin(_u11203, c_Orderings_Oord__class_Omax(_u11203), _u11204)) = c_Big__Operators_Olattice_OSup__fin(_u11203, c_Orderings_Oord__class_Omax(_u11203), hAPP(c_Set_OCollect(_u11203), hAPP(hAPP(c_COMBB(tc_fun(_u11203, tc_HOL_Obool), tc_HOL_Obool, _u11203), c_HOL_OEx(_u11203)), hAPP(hAPP(c_COMBC(_u11203, tc_fun(_u11203, tc_HOL_Obool), tc_fun(_u11203, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11203, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u11203, tc_HOL_Obool), tc_fun(_u11203, tc_HOL_Obool)), _u11203), c_COMBS(_u11203, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11203, tc_HOL_Obool), tc_fun(_u11203, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u11203), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11203), c_fconj)), hAPP(hAPP(c_COMBC(_u11203, tc_fun(_u11203, _u11203), tc_fun(_u11203, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11203, tc_HOL_Obool), tc_fun(tc_fun(_u11203, _u11203), tc_fun(_u11203, tc_HOL_Obool)), _u11203), c_COMBB(_u11203, tc_HOL_Obool, _u11203)), c_fequal)), hAPP(c_Orderings_Oord__class_Omin(_u11203), _u11205))))), hAPP(hAPP(c_COMBC(_u11203, tc_fun(_u11203, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11203)), _u11204)))))) )).
% 12.54/12.78 cnf(matrix-5574, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11206)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u11206)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.54/12.78 cnf(matrix-5575, plain, ( ( c_Product__Type_Oprod_Oprod__rec(_u11207, _u11208, _u11209, _u11210, hAPP(hAPP(c_Product__Type_OPair(_u11207, _u11208), _u11211), _u11212)) = hAPP(hAPP(_u11210, _u11211), _u11212)) )).
% 12.54/12.78 cnf(matrix-5576, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11214, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem280(_u11217, _u11216, _u11215, _u11214))), _u11215) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11214, 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), skolem280(_u11217, _u11216, _u11215, _u11214)), _u11216))), _u11217)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11214, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11215) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11214, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11217)) )).
% 12.54/12.78 cnf(matrix-5577, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u11218) = _u11218) )).
% 12.54/12.78 cnf(matrix-5578, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.78 cnf(matrix-5579, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11220, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11220, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem281(_u11222, _u11221, _u11220))), _u11221)), _u11222)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11220, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u11220, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u11221)), _u11222)) )).
% 12.54/12.78 cnf(matrix-5580, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11224), _u11225)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11226), _u11227)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11224, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u11226, tc_HOL_Obool), tc_Nat_Onat, _u11224), c_Finite__Set_Ocard(_u11226)), hAPP(hAPP(c_COMBB(tc_fun(_u11226, tc_HOL_Obool), tc_fun(_u11226, tc_HOL_Obool), _u11224), c_Set_OCollect(_u11226)), hAPP(hAPP(c_COMBB(tc_fun(_u11226, tc_HOL_Obool), tc_fun(_u11226, tc_HOL_Obool), _u11224), hAPP(c_COMBS(_u11226, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11226), c_fconj), hAPP(hAPP(c_COMBC(_u11226, tc_fun(_u11226, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11226)), _u11227)))), _u11228)))), _u11225) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11226, tc_Nat_Onat), _u11229), _u11227)) | hBOOL(hAPP(hAPP(c_member(_u11226), skolem282(_u11229, _u11228, _u11227, _u11226, _u11225, _u11224)), _u11227)) )).
% 12.54/12.78 cnf(matrix-5581, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11224), _u11225)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11226), _u11227)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11224, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u11226, tc_HOL_Obool), tc_Nat_Onat, _u11224), c_Finite__Set_Ocard(_u11226)), hAPP(hAPP(c_COMBB(tc_fun(_u11226, tc_HOL_Obool), tc_fun(_u11226, tc_HOL_Obool), _u11224), c_Set_OCollect(_u11226)), hAPP(hAPP(c_COMBB(tc_fun(_u11226, tc_HOL_Obool), tc_fun(_u11226, tc_HOL_Obool), _u11224), hAPP(c_COMBS(_u11226, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11226), c_fconj), hAPP(hAPP(c_COMBC(_u11226, tc_fun(_u11226, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11226)), _u11227)))), _u11228)))), _u11225) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11226, tc_Nat_Onat), _u11229), _u11227)) | ( hAPP(c_Finite__Set_Ocard(_u11224), hAPP(c_Set_OCollect(_u11224), hAPP(hAPP(c_COMBS(_u11224, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11224), c_fconj), hAPP(hAPP(c_COMBC(_u11224, tc_fun(_u11224, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11224)), _u11225))), hAPP(hAPP(c_COMBC(_u11224, _u11226, tc_HOL_Obool), _u11228), skolem282(_u11229, _u11228, _u11227, _u11226, _u11225, _u11224))))) != hAPP(_u11229, skolem282(_u11229, _u11228, _u11227, _u11226, _u11225, _u11224))) )).
% 12.54/12.78 cnf(matrix-5582, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u11238, _u11240), tc_prod(_u11238, _u11240))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u11238, _u11240), tc_prod(_u11238, _u11240)), hAPP(hAPP(c_Product__Type_OPair(_u11238, _u11240), _u11242), _u11244)), hAPP(hAPP(c_Product__Type_OPair(_u11238, _u11240), _u11246), _u11248))), c_Wellfounded_Olex__prod(_u11238, _u11240, _u11250, _u11252))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11238, _u11238)), hAPP(hAPP(c_Product__Type_OPair(_u11238, _u11238), _u11242), _u11246)), _u11250)) | ( _u11242 = _u11246) )).
% 12.54/12.78 cnf(matrix-5583, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u11238, _u11240), tc_prod(_u11238, _u11240))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u11238, _u11240), tc_prod(_u11238, _u11240)), hAPP(hAPP(c_Product__Type_OPair(_u11238, _u11240), _u11242), _u11244)), hAPP(hAPP(c_Product__Type_OPair(_u11238, _u11240), _u11246), _u11248))), c_Wellfounded_Olex__prod(_u11238, _u11240, _u11250, _u11252))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11238, _u11238)), hAPP(hAPP(c_Product__Type_OPair(_u11238, _u11238), _u11242), _u11246)), _u11250)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11240, _u11240)), hAPP(hAPP(c_Product__Type_OPair(_u11240, _u11240), _u11244), _u11248)), _u11252)) )).
% 12.54/12.78 cnf(matrix-5584, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u11239, _u11241), tc_prod(_u11239, _u11241))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u11239, _u11241), tc_prod(_u11239, _u11241)), hAPP(hAPP(c_Product__Type_OPair(_u11239, _u11241), _u11243), _u11245)), hAPP(hAPP(c_Product__Type_OPair(_u11239, _u11241), _u11247), _u11249))), c_Wellfounded_Olex__prod(_u11239, _u11241, _u11251, _u11253))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11239, _u11239)), hAPP(hAPP(c_Product__Type_OPair(_u11239, _u11239), _u11243), _u11247)), _u11251)) )).
% 12.54/12.78 cnf(matrix-5585, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u11239, _u11241), tc_prod(_u11239, _u11241))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u11239, _u11241), tc_prod(_u11239, _u11241)), hAPP(hAPP(c_Product__Type_OPair(_u11239, _u11241), _u11243), _u11245)), hAPP(hAPP(c_Product__Type_OPair(_u11239, _u11241), _u11247), _u11249))), c_Wellfounded_Olex__prod(_u11239, _u11241, _u11251, _u11253))) | ( _u11243 != _u11247) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11241, _u11241)), hAPP(hAPP(c_Product__Type_OPair(_u11241, _u11241), _u11245), _u11249)), _u11253)) )).
% 12.54/12.78 cnf(matrix-5586, plain, ( ~hBOOL(hAPP(_u11254, _u11255)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11256, _u11256)), hAPP(hAPP(c_Product__Type_OPair(_u11256, _u11256), _u11257), _u11258)), hAPP(_u11259, _u11255))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u11260, _u11256), tc_prod(_u11260, _u11256))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u11260, _u11256), tc_prod(_u11260, _u11256)), hAPP(hAPP(c_Product__Type_OPair(_u11260, _u11256), _u11255), _u11257)), hAPP(hAPP(c_Product__Type_OPair(_u11260, _u11256), _u11255), _u11258))), c_Recdef_Osame__fst(_u11260, _u11256, _u11254, _u11259))) )).
% 12.54/12.78 cnf(matrix-5587, plain, ( ~class_Groups_Oordered__ab__group__add(_u11262) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11263), _u11264)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11263, _u11262), _u11265), _u11264) != c_Groups_Ozero__class_Ozero(_u11262)) | ~hBOOL(hAPP(hAPP(c_member(_u11263), _u11266), _u11264)) | ( hAPP(_u11265, _u11266) = c_Groups_Ozero__class_Ozero(_u11262)) | hBOOL(hAPP(hAPP(c_member(_u11263), skolem283(_u11266, _u11265, _u11264, _u11263, _u11262)), _u11264)) )).
% 12.54/12.78 cnf(matrix-5588, plain, ( ~class_Groups_Oordered__ab__group__add(_u11262) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11263), _u11264)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11263, _u11262), _u11265), _u11264) != c_Groups_Ozero__class_Ozero(_u11262)) | ~hBOOL(hAPP(hAPP(c_member(_u11263), _u11266), _u11264)) | ( hAPP(_u11265, _u11266) = c_Groups_Ozero__class_Ozero(_u11262)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11262), c_Groups_Ozero__class_Ozero(_u11262)), hAPP(_u11265, skolem283(_u11266, _u11265, _u11264, _u11263, _u11262)))) )).
% 12.54/12.78 cnf(matrix-5589, plain, ( ~class_Groups_Oordered__ab__group__add(_u11268) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11269), _u11270)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11269, _u11268), _u11271), _u11270) != _u11272) | ~hBOOL(hAPP(hAPP(c_member(_u11269), _u11273), _u11270)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11268), hAPP(_u11271, _u11273)), _u11272)) | hBOOL(hAPP(hAPP(c_member(_u11269), skolem284(_u11273, _u11272, _u11271, _u11270, _u11269, _u11268)), _u11270)) )).
% 12.54/12.78 cnf(matrix-5590, plain, ( ~class_Groups_Oordered__ab__group__add(_u11268) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11269), _u11270)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u11269, _u11268), _u11271), _u11270) != _u11272) | ~hBOOL(hAPP(hAPP(c_member(_u11269), _u11273), _u11270)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11268), hAPP(_u11271, _u11273)), _u11272)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11268), c_Groups_Ozero__class_Ozero(_u11268)), hAPP(_u11271, skolem284(_u11273, _u11272, _u11271, _u11270, _u11269, _u11268)))) )).
% 12.54/12.78 cnf(matrix-5591, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u11275, skolem285(_u11277, _u11276, _u11275))), hAPP(_u11276, skolem285(_u11277, _u11276, _u11275)))) | ( 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), _u11276), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11277))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u11275), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11277))) = 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)), _u11276)), _u11275)), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11277))) )).
% 12.54/12.78 cnf(matrix-5592, plain, ( ( hAPP(c_Product__Type_Oapfst(_u11278, _u11279, _u11280, _u11281), hAPP(c_Product__Type_Oapsnd(_u11282, _u11280, _u11278, _u11283), _u11284)) = hAPP(hAPP(c_Product__Type_OPair(_u11279, _u11280), hAPP(_u11281, hAPP(c_Product__Type_Ofst(_u11278, _u11282), _u11284))), hAPP(_u11283, hAPP(c_Product__Type_Osnd(_u11278, _u11282), _u11284)))) )).
% 12.54/12.78 cnf(matrix-5593, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u11285, _u11286, _u11287, _u11288), hAPP(c_Product__Type_Oapfst(_u11289, _u11287, _u11285, _u11290), _u11291)) = hAPP(hAPP(c_Product__Type_OPair(_u11287, _u11286), hAPP(_u11290, hAPP(c_Product__Type_Ofst(_u11289, _u11285), _u11291))), hAPP(_u11288, hAPP(c_Product__Type_Osnd(_u11289, _u11285), _u11291)))) )).
% 12.54/12.78 cnf(matrix-5594, plain, ( ( hAPP(c_Product__Type_Ofst(_u11292, _u11293), hAPP(c_Product__Type_Oapfst(_u11294, _u11292, _u11293, _u11295), _u11296)) = hAPP(_u11295, hAPP(c_Product__Type_Ofst(_u11294, _u11293), _u11296))) )).
% 12.54/12.78 cnf(matrix-5595, plain, ( ( hAPP(c_Product__Type_Oapfst(_u11303, _u11305, _u11307, _u11309), _u11311) != hAPP(c_Product__Type_Oapfst(_u11303, _u11305, _u11307, _u11313), _u11311)) | ( hAPP(_u11309, hAPP(c_Product__Type_Ofst(_u11303, _u11307), _u11311)) = hAPP(_u11313, hAPP(c_Product__Type_Ofst(_u11303, _u11307), _u11311))) )).
% 12.54/12.78 cnf(matrix-5596, plain, ( ( hAPP(_u11310, hAPP(c_Product__Type_Ofst(_u11304, _u11308), _u11312)) != hAPP(_u11314, hAPP(c_Product__Type_Ofst(_u11304, _u11308), _u11312))) | ( hAPP(c_Product__Type_Oapfst(_u11304, _u11306, _u11308, _u11310), _u11312) = hAPP(c_Product__Type_Oapfst(_u11304, _u11306, _u11308, _u11314), _u11312)) )).
% 12.54/12.78 cnf(matrix-5597, plain, ( ( hAPP(c_Product__Type_Oapfst(_u11315, _u11316, _u11317, _u11318), hAPP(hAPP(c_Product__Type_OPair(_u11315, _u11317), _u11319), _u11320)) = hAPP(hAPP(c_Product__Type_OPair(_u11316, _u11317), hAPP(_u11318, _u11319)), _u11320)) )).
% 12.54/12.78 cnf(matrix-5598, plain, ( ( hAPP(c_Product__Type_Osnd(_u11321, _u11322), hAPP(c_Product__Type_Oapfst(_u11323, _u11321, _u11322, _u11324), _u11325)) = hAPP(c_Product__Type_Osnd(_u11323, _u11322), _u11325)) )).
% 12.54/12.78 cnf(matrix-5599, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u11326, _u11327, _u11328, _u11329), hAPP(c_Product__Type_Oapfst(_u11330, _u11328, _u11326, _u11331), _u11332)) = hAPP(c_Product__Type_Oapfst(_u11330, _u11328, _u11327, _u11331), hAPP(c_Product__Type_Oapsnd(_u11326, _u11327, _u11330, _u11329), _u11332))) )).
% 12.54/12.78 cnf(matrix-5600, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11333), _u11334)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11335), _u11336)) | 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), _u11333), _u11335)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11334), _u11336))), c_FunDef_Opair__less)) )).
% 12.54/12.78 cnf(matrix-5601, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11337, tc_HOL_Obool), tc_fun(_u11337, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11337, tc_HOL_Obool), tc_fun(_u11337, tc_HOL_Obool)), _u11338), _u11339)), c_Wellfounded_Omax__ext(_u11337, _u11340))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11337, tc_HOL_Obool), tc_fun(_u11337, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11337, tc_HOL_Obool), tc_fun(_u11337, tc_HOL_Obool)), _u11341), _u11342)), c_Wellfounded_Omax__ext(_u11337, _u11340))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11337, tc_HOL_Obool), tc_fun(_u11337, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11337, tc_HOL_Obool), tc_fun(_u11337, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11337, tc_HOL_Obool)), _u11338), _u11341)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11337, tc_HOL_Obool)), _u11339), _u11342))), c_Wellfounded_Omax__ext(_u11337, _u11340))) )).
% 12.54/12.78 cnf(matrix-5602, plain, ( ~class_Groups_Ocomm__monoid__add(_u11344) | ~class_Groups_Ocomm__monoid__mult(_u11344) | ( _u11345 != _u11346) | ~c_Nat__Transfer_Onat__set(_u11346) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11344), _u11347), _u11345) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11344), _u11348), _u11346)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem286(_u11348, _u11347, _u11346, _u11345, _u11344))) )).
% 12.54/12.78 cnf(matrix-5603, plain, ( ~class_Groups_Ocomm__monoid__add(_u11344) | ~class_Groups_Ocomm__monoid__mult(_u11344) | ( _u11345 != _u11346) | ~c_Nat__Transfer_Onat__set(_u11346) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11344), _u11347), _u11345) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11344), _u11348), _u11346)) | ( hAPP(_u11347, skolem286(_u11348, _u11347, _u11346, _u11345, _u11344)) != hAPP(_u11348, skolem286(_u11348, _u11347, _u11346, _u11345, _u11344))) )).
% 12.54/12.78 cnf(matrix-5604, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11349), _u11350)) | 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), _u11349), _u11351)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11350), _u11352))), c_FunDef_Opair__less)) )).
% 12.54/12.78 cnf(matrix-5605, plain, ( ~c_Wellfounded_Omax__extp(_u11357, hAPP(hAPP(c_COMBC(_u11357, tc_fun(tc_prod(_u11357, _u11357), tc_HOL_Obool), tc_fun(_u11357, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11357, tc_fun(tc_fun(tc_prod(_u11357, _u11357), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11357, _u11357), tc_HOL_Obool), tc_fun(_u11357, tc_HOL_Obool)), _u11357), c_COMBC(_u11357, tc_fun(tc_prod(_u11357, _u11357), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11357, tc_prod(_u11357, _u11357)), tc_fun(_u11357, tc_fun(tc_fun(tc_prod(_u11357, _u11357), tc_HOL_Obool), tc_HOL_Obool)), _u11357), hAPP(c_COMBB(tc_prod(_u11357, _u11357), tc_fun(tc_fun(tc_prod(_u11357, _u11357), tc_HOL_Obool), tc_HOL_Obool), _u11357), c_member(tc_prod(_u11357, _u11357)))), c_Product__Type_OPair(_u11357, _u11357)))), _u11359), _u11361, _u11363) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11357, tc_HOL_Obool), tc_fun(_u11357, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11357, tc_HOL_Obool), tc_fun(_u11357, tc_HOL_Obool)), _u11361), _u11363)), c_Wellfounded_Omax__ext(_u11357, _u11359))) )).
% 12.54/12.78 cnf(matrix-5606, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11358, tc_HOL_Obool), tc_fun(_u11358, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11358, tc_HOL_Obool), tc_fun(_u11358, tc_HOL_Obool)), _u11362), _u11364)), c_Wellfounded_Omax__ext(_u11358, _u11360))) | c_Wellfounded_Omax__extp(_u11358, hAPP(hAPP(c_COMBC(_u11358, tc_fun(tc_prod(_u11358, _u11358), tc_HOL_Obool), tc_fun(_u11358, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11358, tc_fun(tc_fun(tc_prod(_u11358, _u11358), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11358, _u11358), tc_HOL_Obool), tc_fun(_u11358, tc_HOL_Obool)), _u11358), c_COMBC(_u11358, tc_fun(tc_prod(_u11358, _u11358), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11358, tc_prod(_u11358, _u11358)), tc_fun(_u11358, tc_fun(tc_fun(tc_prod(_u11358, _u11358), tc_HOL_Obool), tc_HOL_Obool)), _u11358), hAPP(c_COMBB(tc_prod(_u11358, _u11358), tc_fun(tc_fun(tc_prod(_u11358, _u11358), tc_HOL_Obool), tc_HOL_Obool), _u11358), c_member(tc_prod(_u11358, _u11358)))), c_Product__Type_OPair(_u11358, _u11358)))), _u11360), _u11362, _u11364) )).
% 12.54/12.78 cnf(matrix-5607, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11365), _u11366)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11367), _u11368)) | 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), _u11365), _u11367)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11366), _u11368))), c_FunDef_Opair__leq)) )).
% 12.54/12.78 cnf(matrix-5608, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11369), _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)), _u11371), _u11369)), 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)), _u11372), _u11370)), 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)), _u11371), _u11372)), _u11370)), c_FunDef_Omax__strict)) )).
% 12.54/12.78 cnf(matrix-5609, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11373)) | ( _u11373 = 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))), _u11373)), c_FunDef_Omax__strict)) )).
% 12.54/12.78 cnf(matrix-5610, plain, ( ( c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less)) )).
% 12.54/12.78 cnf(matrix-5611, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11374), _u11375)) | 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), _u11374), _u11376)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11375), _u11377))), c_FunDef_Opair__leq)) )).
% 12.54/12.78 cnf(matrix-5612, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11378), _u11379)) | ~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)), _u11378), _u11380)), 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)), _u11379), _u11381)), 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)), _u11379), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11380), _u11381))), c_FunDef_Omin__weak)) )).
% 12.54/12.78 cnf(matrix-5613, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11382), _u11383)) | ~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)), _u11384), _u11382)), 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)), _u11385), _u11383)), 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)), _u11384), _u11385)), _u11383)), c_FunDef_Omax__weak)) )).
% 12.54/12.78 cnf(matrix-5614, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11386), _u11387)) | ~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)), _u11386), _u11388)), 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)), _u11387), _u11389)), 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)), _u11387), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11388), _u11389))), c_FunDef_Omin__strict)) )).
% 12.54/12.78 cnf(matrix-5615, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11390)) | 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))), _u11390)), c_FunDef_Omax__weak)) )).
% 12.54/12.78 cnf(matrix-5616, plain, ( ( _u11391 = 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)), _u11391), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__strict)) )).
% 12.54/12.78 cnf(matrix-5617, 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)), _u11392), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__weak)) )).
% 12.54/12.78 cnf(matrix-5618, plain, ( ( c_FunDef_Omax__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__leq)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool))))) )).
% 12.54/12.78 cnf(matrix-5619, plain, ( ( c_FunDef_Omin__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__leq)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool))))) )).
% 12.54/12.78 cnf(matrix-5620, plain, ( c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool), tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_FunDef_Omin__strict), c_FunDef_Omin__weak)) )).
% 12.54/12.78 cnf(matrix-5621, plain, ( c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool), tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_FunDef_Omax__strict), c_FunDef_Omax__weak)) )).
% 12.54/12.78 cnf(matrix-5622, plain, ( ( c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less)) )).
% 12.54/12.78 cnf(matrix-5623, 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), _u11395), _u11397)), c_Wellfounded_Oless__than)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11395), _u11397)) )).
% 12.54/12.78 cnf(matrix-5624, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11396), _u11398)) | 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), _u11396), _u11398)), c_Wellfounded_Oless__than)) )).
% 12.54/12.78 cnf(matrix-5625, 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), _u11403), _u11405)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11407), _u11409))), c_Int_Ointrel)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11403), _u11409) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11407), _u11405)) )).
% 12.54/12.78 cnf(matrix-5626, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11404), _u11410) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11408), _u11406)) | 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), _u11404), _u11406)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11408), _u11410))), c_Int_Ointrel)) )).
% 12.54/12.78 cnf(matrix-5627, plain, ( ~c_FunDef_Oreduction__pair(_u11411, _u11412) | c_FunDef_Oreduction__pair(_u11413, hAPP(hAPP(c_FunDef_Orp__inv__image(_u11411, _u11413), _u11412), _u11414)) )).
% 12.54/12.78 cnf(matrix-5628, plain, ( ( c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_Nat_Onat, c_Wellfounded_Oless__than, c_Wellfounded_Oless__than)) )).
% 12.54/12.78 cnf(matrix-5629, plain, ( ( c_Wellfounded_Omlex__prod(_u11415, _u11416, _u11417) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, _u11415), _u11415), c_Wellfounded_Olex__prod(tc_Nat_Onat, _u11415, c_Wellfounded_Oless__than, _u11417)), hAPP(hAPP(c_COMBS(_u11415, _u11415, tc_prod(tc_Nat_Onat, _u11415)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u11415, tc_prod(tc_Nat_Onat, _u11415)), _u11415), c_Product__Type_OPair(tc_Nat_Onat, _u11415)), _u11416)), c_COMBI(_u11415)))) )).
% 12.54/12.78 cnf(matrix-5630, plain, ( ( c_FunDef_Orp__inv__image(_u11418, _u11419) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(_u11418, _u11418), tc_HOL_Obool), tc_fun(tc_prod(_u11418, _u11418), tc_HOL_Obool), tc_fun(tc_fun(_u11419, _u11418), tc_prod(tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(tc_fun(tc_prod(_u11418, _u11418), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u11418, _u11418), tc_HOL_Obool), tc_fun(tc_fun(_u11419, _u11418), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u11418, _u11418), tc_HOL_Obool), tc_fun(tc_fun(_u11419, _u11418), tc_prod(tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(_u11419, _u11418), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool)), tc_fun(tc_fun(_u11419, _u11418), tc_prod(tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(tc_prod(_u11418, _u11418), tc_HOL_Obool), tc_fun(tc_fun(_u11419, _u11418), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u11418, _u11418), tc_HOL_Obool), tc_fun(tc_fun(_u11419, _u11418), tc_prod(tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool))))), tc_fun(tc_prod(_u11418, _u11418), tc_HOL_Obool)), c_COMBB(tc_fun(tc_fun(_u11419, _u11418), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool)), tc_fun(tc_fun(_u11419, _u11418), tc_prod(tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool))), tc_fun(tc_prod(_u11418, _u11418), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11419, _u11418), tc_fun(tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(_u11419, _u11418), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool)), tc_fun(tc_fun(_u11419, _u11418), tc_prod(tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool)))), tc_fun(tc_prod(_u11418, _u11418), tc_HOL_Obool)), c_COMBS(tc_fun(_u11419, _u11418), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool)))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11419, _u11418), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool)), tc_fun(tc_fun(_u11419, _u11418), tc_fun(tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool)))), tc_fun(tc_prod(_u11418, _u11418), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool))), tc_fun(_u11419, _u11418)), c_Product__Type_OPair(tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool), tc_fun(tc_prod(_u11419, _u11419), tc_HOL_Obool)))), c_Relation_Oinv__image(_u11418, _u11419))))), c_Relation_Oinv__image(_u11418, _u11419)))) )).
% 12.54/12.78 cnf(matrix-5631, 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)), _u11422), 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)), _u11424), 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)), _u11422), _u11424)), c_Int_Ointrel)) )).
% 12.54/12.78 cnf(matrix-5632, 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)), _u11423), _u11425)), 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)), _u11423), 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)), _u11425), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))) )).
% 12.54/12.78 cnf(matrix-5633, plain, ( ( c_Wellfounded_Omeasure(_u11426) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat, _u11426), c_Wellfounded_Oless__than)) )).
% 12.54/12.78 cnf(matrix-5634, plain, ( ( hAPP(c_Relation_OImage(_u11427, _u11428, _u11429), hAPP(hAPP(c_Set_Oinsert(_u11427), _u11430), c_Orderings_Obot__class_Obot(tc_fun(_u11427, tc_HOL_Obool)))) = hAPP(c_Set_OCollect(_u11428), hAPP(hAPP(c_COMBC(_u11428, tc_fun(tc_prod(_u11427, _u11428), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u11427, _u11428), tc_fun(tc_fun(tc_prod(_u11427, _u11428), tc_HOL_Obool), tc_HOL_Obool), _u11428), c_member(tc_prod(_u11427, _u11428))), hAPP(c_Product__Type_OPair(_u11427, _u11428), _u11430))), _u11429))) )).
% 12.54/12.78 cnf(matrix-5635, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11436), _u11438), hAPP(c_Relation_OImage(_u11440, _u11436, _u11442), hAPP(hAPP(c_Set_Oinsert(_u11440), _u11444), c_Orderings_Obot__class_Obot(tc_fun(_u11440, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11440, _u11436)), hAPP(hAPP(c_Product__Type_OPair(_u11440, _u11436), _u11444), _u11438)), _u11442)) )).
% 12.54/12.78 cnf(matrix-5636, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11441, _u11437)), hAPP(hAPP(c_Product__Type_OPair(_u11441, _u11437), _u11445), _u11439)), _u11443)) | hBOOL(hAPP(hAPP(c_member(_u11437), _u11439), hAPP(c_Relation_OImage(_u11441, _u11437, _u11443), hAPP(hAPP(c_Set_Oinsert(_u11441), _u11445), c_Orderings_Obot__class_Obot(tc_fun(_u11441, tc_HOL_Obool)))))) )).
% 12.54/12.78 cnf(matrix-5637, plain, ( ( hAPP(hAPP(c_Relation_Oinv__image(_u11446, _u11447), _u11448), _u11449) = hAPP(c_Set_OCollect(tc_prod(_u11447, _u11447)), hAPP(c_Product__Type_Oprod_Oprod__case(_u11447, _u11447, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11447, tc_fun(tc_prod(_u11446, _u11446), tc_HOL_Obool), tc_fun(_u11447, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11447, tc_fun(tc_fun(tc_prod(_u11446, _u11446), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11446, _u11446), tc_HOL_Obool), tc_fun(_u11447, tc_HOL_Obool)), _u11447), c_COMBC(_u11447, tc_fun(tc_prod(_u11446, _u11446), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11447, tc_prod(_u11446, _u11446)), tc_fun(_u11447, tc_fun(tc_fun(tc_prod(_u11446, _u11446), tc_HOL_Obool), tc_HOL_Obool)), _u11447), hAPP(c_COMBB(tc_prod(_u11446, _u11446), tc_fun(tc_fun(tc_prod(_u11446, _u11446), tc_HOL_Obool), tc_HOL_Obool), _u11447), c_member(tc_prod(_u11446, _u11446)))), hAPP(hAPP(c_COMBC(_u11447, tc_fun(_u11447, _u11446), tc_fun(_u11447, tc_prod(_u11446, _u11446))), hAPP(hAPP(c_COMBB(tc_fun(_u11446, tc_prod(_u11446, _u11446)), tc_fun(tc_fun(_u11447, _u11446), tc_fun(_u11447, tc_prod(_u11446, _u11446))), _u11447), c_COMBB(_u11446, tc_prod(_u11446, _u11446), _u11447)), hAPP(hAPP(c_COMBB(_u11446, tc_fun(_u11446, tc_prod(_u11446, _u11446)), _u11447), c_Product__Type_OPair(_u11446, _u11446)), _u11449))), _u11449)))), _u11448)))) )).
% 12.54/12.78 cnf(matrix-5638, plain, ( ( hAPP(c_Relation_OImage(_u11450, _u11451, _u11452), c_Orderings_Obot__class_Obot(tc_fun(_u11450, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u11451, tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-5639, plain, ( ( hAPP(c_Relation_OImage(_u11453, _u11454, _u11455), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11453, tc_HOL_Obool)), _u11456), _u11457)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11454, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11453, _u11454, _u11455), _u11456)), hAPP(c_Relation_OImage(_u11453, _u11454, _u11455), _u11457))) )).
% 12.54/12.78 cnf(matrix-5640, plain, ( ( hAPP(c_Relation_OImage(_u11458, _u11459, _u11460), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11461, tc_fun(_u11458, tc_HOL_Obool)), _u11462), _u11463)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11461, tc_fun(_u11459, tc_HOL_Obool)), _u11462), hAPP(hAPP(c_COMBB(tc_fun(_u11458, tc_HOL_Obool), tc_fun(_u11459, tc_HOL_Obool), _u11461), c_Relation_OImage(_u11458, _u11459, _u11460)), _u11463))) )).
% 12.54/12.78 cnf(matrix-5641, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11464, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11465, _u11464, _u11466), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11465, tc_HOL_Obool)), _u11467), _u11468))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11464, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11465, _u11464, _u11466), _u11467)), hAPP(c_Relation_OImage(_u11465, _u11464, _u11466), _u11468)))) )).
% 12.54/12.78 cnf(matrix-5642, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u11469, _u11470), tc_HOL_Obool)), _u11471), _u11472)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11469, tc_HOL_Obool)), _u11473), _u11474)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11470, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11469, _u11470, _u11471), _u11473)), hAPP(c_Relation_OImage(_u11469, _u11470, _u11472), _u11474))) )).
% 12.54/12.78 cnf(matrix-5643, plain, ( ( hAPP(c_Relation_OImage(_u11475, _u11476, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u11475, _u11476), tc_HOL_Obool)), _u11477), _u11478)), _u11479) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11476, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11475, _u11476, _u11477), _u11479)), hAPP(c_Relation_OImage(_u11475, _u11476, _u11478), _u11479))) )).
% 12.54/12.78 cnf(matrix-5644, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u11492, _u11492)), hAPP(hAPP(c_Product__Type_OPair(_u11492, _u11492), hAPP(_u11496, _u11488)), hAPP(_u11496, _u11490))), _u11494)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11486, _u11486)), hAPP(hAPP(c_Product__Type_OPair(_u11486, _u11486), _u11488), _u11490)), hAPP(hAPP(c_Relation_Oinv__image(_u11492, _u11486), _u11494), _u11496))) )).
% 12.54/12.78 cnf(matrix-5645, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11493, _u11493)), hAPP(hAPP(c_Product__Type_OPair(_u11493, _u11493), hAPP(_u11497, _u11489)), hAPP(_u11497, _u11491))), _u11495)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11487, _u11487)), hAPP(hAPP(c_Product__Type_OPair(_u11487, _u11487), _u11489), _u11491)), hAPP(hAPP(c_Relation_Oinv__image(_u11493, _u11487), _u11495), _u11497))) )).
% 12.54/12.78 cnf(matrix-5646, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11498, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11499, _u11498, _u11500), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11501, tc_fun(_u11499, tc_HOL_Obool)), _u11502), _u11503))), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11501, tc_fun(_u11498, tc_HOL_Obool)), _u11502), hAPP(hAPP(c_COMBB(tc_fun(_u11499, tc_HOL_Obool), tc_fun(_u11498, tc_HOL_Obool), _u11501), c_Relation_OImage(_u11499, _u11498, _u11500)), _u11503)))) )).
% 12.54/12.78 cnf(matrix-5647, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11504), _u11505), _u11506)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11504, _u11507)), hAPP(hAPP(c_Product__Type_OPair(_u11504, _u11507), _u11505), _u11508)), _u11509)) | hBOOL(hAPP(hAPP(c_member(_u11507), _u11508), hAPP(c_Relation_OImage(_u11504, _u11507, _u11509), _u11506))) )).
% 12.54/12.78 cnf(matrix-5648, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11517), _u11519), hAPP(c_Relation_OImage(_u11521, _u11517, _u11523), _u11525))) | hBOOL(hAPP(hAPP(c_member(_u11521), skolem287(_u11525, _u11523, _u11521, _u11519, _u11517)), _u11525)) )).
% 12.54/12.78 cnf(matrix-5649, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11517), _u11519), hAPP(c_Relation_OImage(_u11521, _u11517, _u11523), _u11525))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11521, _u11517)), hAPP(hAPP(c_Product__Type_OPair(_u11521, _u11517), skolem287(_u11525, _u11523, _u11521, _u11519, _u11517)), _u11519)), _u11523)) )).
% 12.54/12.78 cnf(matrix-5650, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11522), _u11511), _u11526)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11522, _u11518)), hAPP(hAPP(c_Product__Type_OPair(_u11522, _u11518), _u11511), _u11520)), _u11524)) | hBOOL(hAPP(hAPP(c_member(_u11518), _u11520), hAPP(c_Relation_OImage(_u11522, _u11518, _u11524), _u11526))) )).
% 12.54/12.78 cnf(matrix-5651, plain, ( ( hAPP(c_Relation_OImage(_u11527, _u11528, _u11529), _u11530) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11527, tc_fun(_u11528, tc_HOL_Obool)), _u11530), hAPP(hAPP(c_COMBB(tc_fun(_u11527, tc_HOL_Obool), tc_fun(_u11528, tc_HOL_Obool), _u11527), c_Relation_OImage(_u11527, _u11528, _u11529)), hAPP(hAPP(c_COMBC(_u11527, tc_fun(_u11527, tc_HOL_Obool), tc_fun(_u11527, tc_HOL_Obool)), c_Set_Oinsert(_u11527)), c_Orderings_Obot__class_Obot(tc_fun(_u11527, tc_HOL_Obool)))))) )).
% 12.54/12.78 cnf(matrix-5652, plain, ( ~class_Rings_Oring__1(_u11531) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11531), 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), _u11532), _u11533)), 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(_u11531), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11531), _u11532)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11531), _u11533))) )).
% 12.54/12.78 cnf(matrix-5653, plain, ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.54/12.78 cnf(matrix-5654, 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), _u11534), _u11535)), 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), _u11536), _u11537)), 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), _u11534), _u11536)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11535), _u11537))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11534), _u11537)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11535), _u11536)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.54/12.78 cnf(matrix-5655, plain, ( ( hAPP(c_Int_OAbs__Integ, hAPP(c_Int_ORep__Integ, _u11538)) = _u11538) )).
% 12.54/12.78 cnf(matrix-5656, 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), _u11539), _u11540)), 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), _u11540), _u11539)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.54/12.78 cnf(matrix-5657, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.54/12.78 cnf(matrix-5658, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11541) = 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), _u11541), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.54/12.78 cnf(matrix-5659, 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), _u11542), _u11543)), 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), _u11544), _u11545)), 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), _u11542), _u11544)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11543), _u11545))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.54/12.78 cnf(matrix-5660, 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), _u11546), _u11547)), 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), _u11546), _u11547)) )).
% 12.54/12.78 cnf(matrix-5661, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11548) = 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, _u11548)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_Nat_Onat), c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), tc_Nat_Onat), c_COMBC(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_prod(tc_Nat_Onat, tc_Nat_Onat)), tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), tc_Nat_Onat), hAPP(c_COMBB(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_Nat_Onat), c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)))), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_prod(tc_Nat_Onat, tc_Nat_Onat)), c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat))))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))))) )).
% 12.54/12.78 cnf(matrix-5662, 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), _u11553), _u11555)), 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), _u11557), _u11559)), 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), _u11553), _u11559)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11557), _u11555))) )).
% 12.54/12.78 cnf(matrix-5663, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11554), _u11560)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11558), _u11556))) | 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), _u11554), _u11556)), 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), _u11558), _u11560)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 12.54/12.78 cnf(matrix-5664, 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), _u11565), _u11567)), 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), _u11569), _u11571)), 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), _u11565), _u11571)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11569), _u11567))) )).
% 12.54/12.78 cnf(matrix-5665, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11566), _u11572)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11570), _u11568))) | 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), _u11566), _u11568)), 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), _u11570), _u11572)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 12.54/12.78 cnf(matrix-5666, plain, ( ~c_Relation_Oirrefl(_u11577, _u11579) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11577, _u11577)), hAPP(hAPP(c_Product__Type_OPair(_u11577, _u11577), _u11573), _u11573)), _u11579)) )).
% 12.54/12.78 cnf(matrix-5667, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u11578, _u11578)), hAPP(hAPP(c_Product__Type_OPair(_u11578, _u11578), skolem288(_u11580, _u11578)), skolem288(_u11580, _u11578))), _u11580)) | c_Relation_Oirrefl(_u11578, _u11580) )).
% 12.54/12.78 cnf(matrix-5668, plain, ( ( _u11583 = 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), skolem289(_u11583)), skolem290(_u11583))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.54/12.78 cnf(matrix-5669, plain, ( ( hAPP(c_Relation_OField(_u11584), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u11584, _u11584)), hAPP(hAPP(c_Product__Type_OPair(_u11584, _u11584), _u11585), _u11586)), _u11587)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11584, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11584), _u11585), hAPP(hAPP(c_Set_Oinsert(_u11584), _u11586), c_Orderings_Obot__class_Obot(tc_fun(_u11584, tc_HOL_Obool))))), hAPP(c_Relation_OField(_u11584), _u11587))) )).
% 12.54/12.78 cnf(matrix-5670, plain, ( ( hAPP(c_Relation_OField(_u11588), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u11588, _u11588), tc_HOL_Obool), _u11589)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u11588, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_fun(tc_prod(_u11588, _u11588), tc_HOL_Obool), tc_fun(_u11588, tc_HOL_Obool), c_Relation_OField(_u11588)), _u11589))) )).
% 12.54/12.78 cnf(matrix-5671, plain, ( ( hAPP(c_Relation_OField(_u11590), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11590, _u11590), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u11590, tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-5672, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u11591, _u11591), tc_HOL_Obool)), _u11592), _u11593)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11591, tc_HOL_Obool)), hAPP(c_Relation_OField(_u11591), _u11592)), hAPP(c_Relation_OField(_u11591), _u11593))) )).
% 12.54/12.78 cnf(matrix-5673, plain, ( ( hAPP(c_Relation_OField(_u11594), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u11594, _u11594), tc_HOL_Obool)), _u11595), _u11596)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11594, tc_HOL_Obool)), hAPP(c_Relation_OField(_u11594), _u11595)), hAPP(c_Relation_OField(_u11594), _u11596))) )).
% 12.54/12.78 cnf(matrix-5674, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u11597, _u11597)), _u11598)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11597), hAPP(c_Relation_OField(_u11597), _u11598))) )).
% 12.54/12.78 cnf(matrix-5675, plain, ( ( c_Relation_OId__on(_u11599, _u11600) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11599, tc_fun(tc_prod(_u11599, _u11599), tc_HOL_Obool)), _u11600), hAPP(hAPP(c_COMBC(_u11599, tc_fun(tc_prod(_u11599, _u11599), tc_HOL_Obool), tc_fun(tc_prod(_u11599, _u11599), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_prod(_u11599, _u11599), tc_fun(tc_fun(tc_prod(_u11599, _u11599), tc_HOL_Obool), tc_fun(tc_prod(_u11599, _u11599), tc_HOL_Obool)), _u11599), c_Set_Oinsert(tc_prod(_u11599, _u11599))), hAPP(hAPP(c_COMBS(_u11599, _u11599, tc_prod(_u11599, _u11599)), c_Product__Type_OPair(_u11599, _u11599)), c_COMBI(_u11599)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11599, _u11599), tc_HOL_Obool))))) )).
% 12.54/12.78 cnf(matrix-5676, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11601), _u11602), _u11603) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11601, tc_fun(tc_fun(_u11601, tc_HOL_Obool), tc_HOL_Obool)), _u11602), hAPP(hAPP(c_COMBC(_u11601, tc_fun(tc_fun(_u11601, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u11601, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11601, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u11601, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u11601, tc_HOL_Obool), tc_HOL_Obool)), _u11601), c_Set_Oinsert(tc_fun(_u11601, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11601, tc_HOL_Obool), tc_fun(_u11601, tc_HOL_Obool), _u11601), c_Relation_OImage(_u11601, _u11601, _u11603)), hAPP(hAPP(c_COMBC(_u11601, tc_fun(_u11601, tc_HOL_Obool), tc_fun(_u11601, tc_HOL_Obool)), c_Set_Oinsert(_u11601)), c_Orderings_Obot__class_Obot(tc_fun(_u11601, tc_HOL_Obool)))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11601, tc_HOL_Obool), tc_HOL_Obool))))) )).
% 12.54/12.78 cnf(matrix-5677, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11605), _u11606), hAPP(c_Relation_OImage(_u11607, _u11605, _u11608), _u11609))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11607, _u11605)), hAPP(hAPP(c_Product__Type_OPair(_u11607, _u11605), skolem291(_u11609, _u11608, _u11607, _u11606, _u11605)), _u11606)), _u11608)) )).
% 12.54/12.78 cnf(matrix-5678, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11605), _u11606), hAPP(c_Relation_OImage(_u11607, _u11605, _u11608), _u11609))) | hBOOL(hAPP(hAPP(c_member(_u11607), skolem291(_u11609, _u11608, _u11607, _u11606, _u11605)), _u11609)) )).
% 12.54/12.78 cnf(matrix-5679, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11613), _u11615), _u11617) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11613, tc_HOL_Obool), tc_HOL_Obool))) | ( _u11615 = c_Orderings_Obot__class_Obot(tc_fun(_u11613, tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-5680, plain, ( ( _u11616 != c_Orderings_Obot__class_Obot(tc_fun(_u11614, tc_HOL_Obool))) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11614), _u11616), _u11618) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11614, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-5681, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11622, tc_HOL_Obool), tc_HOL_Obool)) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11622), _u11624), _u11626)) | ( _u11624 = c_Orderings_Obot__class_Obot(tc_fun(_u11622, tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-5682, plain, ( ( _u11625 != c_Orderings_Obot__class_Obot(tc_fun(_u11623, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11623, tc_HOL_Obool), tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11623), _u11625), _u11627)) )).
% 12.54/12.78 cnf(matrix-5683, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11628), c_Orderings_Obot__class_Obot(tc_fun(_u11628, tc_HOL_Obool))), _u11629) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11628, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-5684, plain, ( ( c_Relation_OId__on(_u11630, _u11631) = hAPP(c_Product__Type_Oprod_Oprod__case(_u11630, _u11630, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u11630, tc_HOL_Obool, tc_fun(_u11630, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11630, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_HOL_Obool, tc_fun(_u11630, tc_HOL_Obool)), _u11630), c_COMBC(_u11630, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11630, tc_HOL_Obool), tc_fun(_u11630, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u11630), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11630), c_fconj)), c_fequal))), _u11631))) )).
% 12.54/12.78 cnf(matrix-5685, plain, ( ( c_Relation_OId__on(_u11632, c_Orderings_Obot__class_Obot(tc_fun(_u11632, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11632, _u11632), tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-5686, plain, ( ( hAPP(c_Relation_OImage(_u11633, _u11633, c_Relation_OId__on(_u11633, _u11634)), _u11635) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11633, tc_HOL_Obool)), _u11634), _u11635)) )).
% 12.54/12.78 cnf(matrix-5687, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11636), _u11637), _u11638)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11636, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11636, _u11636, _u11639), hAPP(hAPP(c_Set_Oinsert(_u11636), _u11637), c_Orderings_Obot__class_Obot(tc_fun(_u11636, tc_HOL_Obool))))), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11636), _u11638), _u11639))) )).
% 12.54/12.78 cnf(matrix-5688, plain, ( ( _u11640 != _u11641) | ~hBOOL(hAPP(hAPP(c_member(_u11642), _u11640), _u11643)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11642, _u11642)), hAPP(hAPP(c_Product__Type_OPair(_u11642, _u11642), _u11640), _u11641)), c_Relation_OId__on(_u11642, _u11643))) )).
% 12.54/12.78 cnf(matrix-5689, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11648, _u11648)), hAPP(hAPP(c_Product__Type_OPair(_u11648, _u11648), _u11650), _u11652)), c_Relation_OId__on(_u11648, _u11654))) | ( _u11650 = _u11652) )).
% 12.54/12.78 cnf(matrix-5690, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11648, _u11648)), hAPP(hAPP(c_Product__Type_OPair(_u11648, _u11648), _u11650), _u11652)), c_Relation_OId__on(_u11648, _u11654))) | hBOOL(hAPP(hAPP(c_member(_u11648), _u11650), _u11654)) )).
% 12.54/12.78 cnf(matrix-5691, plain, ( ( _u11651 != _u11653) | ~hBOOL(hAPP(hAPP(c_member(_u11649), _u11651), _u11655)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11649, _u11649)), hAPP(hAPP(c_Product__Type_OPair(_u11649, _u11649), _u11651), _u11653)), c_Relation_OId__on(_u11649, _u11655))) )).
% 12.54/12.78 cnf(matrix-5692, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11656), hAPP(hAPP(c_Set_Oinsert(_u11656), _u11657), c_Orderings_Obot__class_Obot(tc_fun(_u11656, tc_HOL_Obool)))), _u11658) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u11656, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11656, _u11656, _u11658), hAPP(hAPP(c_Set_Oinsert(_u11656), _u11657), c_Orderings_Obot__class_Obot(tc_fun(_u11656, tc_HOL_Obool))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11656, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 12.54/12.78 cnf(matrix-5693, plain, ( ~c_Equiv__Relations_Oequiv(_u11659, _u11660, _u11661) | ~hBOOL(hAPP(hAPP(c_member(_u11659), _u11662), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11659, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11659, _u11659, _u11661), hAPP(hAPP(c_Set_Oinsert(_u11659), _u11663), c_Orderings_Obot__class_Obot(tc_fun(_u11659, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u11659, _u11659, _u11661), hAPP(hAPP(c_Set_Oinsert(_u11659), _u11664), c_Orderings_Obot__class_Obot(tc_fun(_u11659, tc_HOL_Obool))))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11659, _u11659)), hAPP(hAPP(c_Product__Type_OPair(_u11659, _u11659), _u11663), _u11664)), _u11661)) )).
% 12.54/12.78 cnf(matrix-5694, plain, ( ~c_Equiv__Relations_Oequiv(_u11665, _u11666, _u11667) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11665, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11665, _u11665, _u11667), hAPP(hAPP(c_Set_Oinsert(_u11665), _u11668), c_Orderings_Obot__class_Obot(tc_fun(_u11665, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u11665, _u11665, _u11667), hAPP(hAPP(c_Set_Oinsert(_u11665), _u11669), c_Orderings_Obot__class_Obot(tc_fun(_u11665, tc_HOL_Obool)))))) | ~hBOOL(hAPP(hAPP(c_member(_u11665), _u11668), _u11666)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11665, _u11665)), hAPP(hAPP(c_Product__Type_OPair(_u11665, _u11665), _u11669), _u11668)), _u11667)) )).
% 12.54/12.78 cnf(matrix-5695, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11671, tc_HOL_Obool)), _u11672), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11671), _u11673), _u11674))) | ( _u11672 = hAPP(c_Relation_OImage(_u11671, _u11671, _u11674), hAPP(hAPP(c_Set_Oinsert(_u11671), skolem292(_u11674, _u11673, _u11672, _u11671)), c_Orderings_Obot__class_Obot(tc_fun(_u11671, tc_HOL_Obool))))) )).
% 12.54/12.78 cnf(matrix-5696, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11671, tc_HOL_Obool)), _u11672), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11671), _u11673), _u11674))) | hBOOL(hAPP(hAPP(c_member(_u11671), skolem292(_u11674, _u11673, _u11672, _u11671)), _u11673)) )).
% 12.54/12.78 cnf(matrix-5697, plain, ( c_Equiv__Relations_Oequiv(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Int_Ointrel) )).
% 12.54/12.78 cnf(matrix-5698, plain, ( ~c_Equiv__Relations_Oequiv(_u11675, _u11676, _u11677) | ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u11675, tc_HOL_Obool), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11675), _u11676), _u11677)) = _u11676) )).
% 12.54/12.78 cnf(matrix-5699, plain, ( ~c_Equiv__Relations_Oequiv(_u11678, _u11679, _u11680) | ~hBOOL(hAPP(hAPP(c_member(_u11678), _u11681), _u11679)) | hBOOL(hAPP(hAPP(c_member(_u11678), _u11681), hAPP(c_Relation_OImage(_u11678, _u11678, _u11680), hAPP(hAPP(c_Set_Oinsert(_u11678), _u11681), c_Orderings_Obot__class_Obot(tc_fun(_u11678, tc_HOL_Obool)))))) )).
% 12.54/12.78 cnf(matrix-5700, plain, ( ~c_Equiv__Relations_Oequiv(_u11682, _u11683, _u11684) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11682, tc_HOL_Obool)), _u11685), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11682), _u11683), _u11684))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11682, tc_HOL_Obool)), _u11686), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11682), _u11683), _u11684))) | ( _u11685 = _u11686) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11682, tc_HOL_Obool)), _u11685), _u11686) = c_Orderings_Obot__class_Obot(tc_fun(_u11682, tc_HOL_Obool))) )).
% 12.54/12.78 cnf(matrix-5701, plain, ( ~c_Equiv__Relations_Oequiv(_u11687, _u11688, _u11689) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11687, _u11687)), hAPP(hAPP(c_Product__Type_OPair(_u11687, _u11687), _u11690), _u11691)), _u11689)) | ( hAPP(c_Relation_OImage(_u11687, _u11687, _u11689), hAPP(hAPP(c_Set_Oinsert(_u11687), _u11690), c_Orderings_Obot__class_Obot(tc_fun(_u11687, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u11687, _u11687, _u11689), hAPP(hAPP(c_Set_Oinsert(_u11687), _u11691), c_Orderings_Obot__class_Obot(tc_fun(_u11687, tc_HOL_Obool))))) )).
% 12.54/12.78 cnf(matrix-5702, plain, ( ~c_Equiv__Relations_Oequiv(_u11692, _u11693, _u11694) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11692, tc_HOL_Obool)), _u11695), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11692), _u11693), _u11694))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11692, tc_HOL_Obool)), _u11696), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11692), _u11693), _u11694))) | ~hBOOL(hAPP(hAPP(c_member(_u11692), _u11697), _u11695)) | ~hBOOL(hAPP(hAPP(c_member(_u11692), _u11698), _u11696)) | ( _u11695 != _u11696) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11692, _u11692)), hAPP(hAPP(c_Product__Type_OPair(_u11692, _u11692), _u11697), _u11698)), _u11694)) )).
% 12.54/12.78 cnf(matrix-5703, plain, ( ~c_Equiv__Relations_Oequiv(_u11692, _u11693, _u11694) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11692, tc_HOL_Obool)), _u11695), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11692), _u11693), _u11694))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11692, tc_HOL_Obool)), _u11696), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11692), _u11693), _u11694))) | ~hBOOL(hAPP(hAPP(c_member(_u11692), _u11697), _u11695)) | ~hBOOL(hAPP(hAPP(c_member(_u11692), _u11698), _u11696)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11692, _u11692)), hAPP(hAPP(c_Product__Type_OPair(_u11692, _u11692), _u11697), _u11698)), _u11694)) | ( _u11695 = _u11696) )).
% 12.54/12.78 cnf(matrix-5704, plain, ( ~c_Equiv__Relations_Oequiv(_u11699, _u11700, _u11701) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11699, tc_HOL_Obool)), _u11702), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11699), _u11700), _u11701))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11699, tc_HOL_Obool)), _u11703), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11699), _u11700), _u11701))) | ~hBOOL(hAPP(hAPP(c_member(_u11699), _u11704), _u11702)) | ~hBOOL(hAPP(hAPP(c_member(_u11699), _u11705), _u11703)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11699, _u11699)), hAPP(hAPP(c_Product__Type_OPair(_u11699, _u11699), _u11704), _u11705)), _u11701)) | ( _u11702 = _u11703) )).
% 12.54/12.78 cnf(matrix-5705, plain, ( ~c_Equiv__Relations_Oequiv(_u11706, _u11707, _u11708) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11706, _u11706)), hAPP(hAPP(c_Product__Type_OPair(_u11706, _u11706), _u11709), _u11710)), _u11708)) | ( hAPP(c_Relation_OImage(_u11706, _u11706, _u11708), hAPP(hAPP(c_Set_Oinsert(_u11706), _u11709), c_Orderings_Obot__class_Obot(tc_fun(_u11706, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u11706, _u11706, _u11708), hAPP(hAPP(c_Set_Oinsert(_u11706), _u11710), c_Orderings_Obot__class_Obot(tc_fun(_u11706, tc_HOL_Obool))))) )).
% 12.54/12.78 cnf(matrix-5706, plain, ( ~c_Equiv__Relations_Oequiv(_u11706, _u11707, _u11708) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11706, _u11706)), hAPP(hAPP(c_Product__Type_OPair(_u11706, _u11706), _u11709), _u11710)), _u11708)) | hBOOL(hAPP(hAPP(c_member(_u11706), _u11709), _u11707)) )).
% 12.54/12.78 cnf(matrix-5707, plain, ( ~c_Equiv__Relations_Oequiv(_u11706, _u11707, _u11708) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11706, _u11706)), hAPP(hAPP(c_Product__Type_OPair(_u11706, _u11706), _u11709), _u11710)), _u11708)) | hBOOL(hAPP(hAPP(c_member(_u11706), _u11710), _u11707)) )).
% 12.54/12.78 cnf(matrix-5708, plain, ( ~c_Equiv__Relations_Oequiv(_u11706, _u11707, _u11708) | ( hAPP(c_Relation_OImage(_u11706, _u11706, _u11708), hAPP(hAPP(c_Set_Oinsert(_u11706), _u11709), c_Orderings_Obot__class_Obot(tc_fun(_u11706, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u11706, _u11706, _u11708), hAPP(hAPP(c_Set_Oinsert(_u11706), _u11710), c_Orderings_Obot__class_Obot(tc_fun(_u11706, tc_HOL_Obool))))) | ~hBOOL(hAPP(hAPP(c_member(_u11706), _u11709), _u11707)) | ~hBOOL(hAPP(hAPP(c_member(_u11706), _u11710), _u11707)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11706, _u11706)), hAPP(hAPP(c_Product__Type_OPair(_u11706, _u11706), _u11709), _u11710)), _u11708)) )).
% 12.54/12.78 cnf(matrix-5709, plain, ( ~c_Equiv__Relations_Oequiv(_u11711, _u11712, _u11713) | ~hBOOL(hAPP(hAPP(c_member(_u11711), _u11714), _u11712)) | ~hBOOL(hAPP(hAPP(c_member(_u11711), _u11715), _u11712)) | ( hAPP(c_Relation_OImage(_u11711, _u11711, _u11713), hAPP(hAPP(c_Set_Oinsert(_u11711), _u11714), c_Orderings_Obot__class_Obot(tc_fun(_u11711, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u11711, _u11711, _u11713), hAPP(hAPP(c_Set_Oinsert(_u11711), _u11715), c_Orderings_Obot__class_Obot(tc_fun(_u11711, tc_HOL_Obool))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11711, _u11711)), hAPP(hAPP(c_Product__Type_OPair(_u11711, _u11711), _u11714), _u11715)), _u11713)) )).
% 12.54/12.78 cnf(matrix-5710, plain, ( ~c_Equiv__Relations_Oequiv(_u11711, _u11712, _u11713) | ~hBOOL(hAPP(hAPP(c_member(_u11711), _u11714), _u11712)) | ~hBOOL(hAPP(hAPP(c_member(_u11711), _u11715), _u11712)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11711, _u11711)), hAPP(hAPP(c_Product__Type_OPair(_u11711, _u11711), _u11714), _u11715)), _u11713)) | ( hAPP(c_Relation_OImage(_u11711, _u11711, _u11713), hAPP(hAPP(c_Set_Oinsert(_u11711), _u11714), c_Orderings_Obot__class_Obot(tc_fun(_u11711, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u11711, _u11711, _u11713), hAPP(hAPP(c_Set_Oinsert(_u11711), _u11715), c_Orderings_Obot__class_Obot(tc_fun(_u11711, tc_HOL_Obool))))) )).
% 12.54/12.78 cnf(matrix-5711, plain, ( ( hAPP(c_Relation_OImage(_u11716, _u11716, _u11717), hAPP(hAPP(c_Set_Oinsert(_u11716), _u11718), c_Orderings_Obot__class_Obot(tc_fun(_u11716, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u11716, _u11716, _u11717), hAPP(hAPP(c_Set_Oinsert(_u11716), _u11719), c_Orderings_Obot__class_Obot(tc_fun(_u11716, tc_HOL_Obool))))) | ~c_Equiv__Relations_Oequiv(_u11716, _u11720, _u11717) | ~hBOOL(hAPP(hAPP(c_member(_u11716), _u11719), _u11720)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11716, _u11716)), hAPP(hAPP(c_Product__Type_OPair(_u11716, _u11716), _u11718), _u11719)), _u11717)) )).
% 12.54/12.78 cnf(matrix-5712, plain, ( ~c_Equiv__Relations_Oequiv(_u11721, _u11722, _u11723) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11721, _u11721)), hAPP(hAPP(c_Product__Type_OPair(_u11721, _u11721), _u11724), _u11725)), _u11723)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11721, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11721, _u11721, _u11723), hAPP(hAPP(c_Set_Oinsert(_u11721), _u11724), c_Orderings_Obot__class_Obot(tc_fun(_u11721, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u11721, _u11721, _u11723), hAPP(hAPP(c_Set_Oinsert(_u11721), _u11725), c_Orderings_Obot__class_Obot(tc_fun(_u11721, tc_HOL_Obool)))))) )).
% 12.54/12.78 cnf(matrix-5713, plain, ( ~c_Equiv__Relations_Oequiv(_u11726, _u11727, _u11728) | ~hBOOL(hAPP(hAPP(c_member(_u11726), _u11729), _u11727)) | ~hBOOL(hAPP(hAPP(c_member(_u11726), _u11730), _u11727)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11726), hAPP(hAPP(c_Set_Oinsert(_u11726), _u11729), c_Orderings_Obot__class_Obot(tc_fun(_u11726, tc_HOL_Obool)))), _u11728) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11726), hAPP(hAPP(c_Set_Oinsert(_u11726), _u11730), c_Orderings_Obot__class_Obot(tc_fun(_u11726, tc_HOL_Obool)))), _u11728)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11726, _u11726)), hAPP(hAPP(c_Product__Type_OPair(_u11726, _u11726), _u11729), _u11730)), _u11728)) )).
% 12.54/12.78 cnf(matrix-5714, plain, ( ~c_Equiv__Relations_Oequiv(_u11726, _u11727, _u11728) | ~hBOOL(hAPP(hAPP(c_member(_u11726), _u11729), _u11727)) | ~hBOOL(hAPP(hAPP(c_member(_u11726), _u11730), _u11727)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11726, _u11726)), hAPP(hAPP(c_Product__Type_OPair(_u11726, _u11726), _u11729), _u11730)), _u11728)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11726), hAPP(hAPP(c_Set_Oinsert(_u11726), _u11729), c_Orderings_Obot__class_Obot(tc_fun(_u11726, tc_HOL_Obool)))), _u11728) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11726), hAPP(hAPP(c_Set_Oinsert(_u11726), _u11730), c_Orderings_Obot__class_Obot(tc_fun(_u11726, tc_HOL_Obool)))), _u11728)) )).
% 12.54/12.78 cnf(matrix-5715, plain, ( ~c_Equiv__Relations_Oequiv(_u11731, _u11732, _u11733) | ~c_Equiv__Relations_Ocongruent(_u11731, tc_fun(_u11734, tc_HOL_Obool), _u11733, _u11735) | ~hBOOL(hAPP(hAPP(c_member(_u11731), _u11736), _u11732)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11731, tc_fun(_u11734, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11731, _u11731, _u11733), hAPP(hAPP(c_Set_Oinsert(_u11731), _u11736), c_Orderings_Obot__class_Obot(tc_fun(_u11731, tc_HOL_Obool))))), _u11735) = hAPP(_u11735, _u11736)) )).
% 12.54/12.78 cnf(matrix-5716, plain, ( ~c_Equiv__Relations_Oequiv(_u11737, _u11738, _u11739) | ~c_Equiv__Relations_Oequiv(_u11740, _u11741, _u11742) | ~c_Equiv__Relations_Ocongruent2(_u11737, _u11740, tc_fun(_u11743, tc_HOL_Obool), _u11739, _u11742, _u11744) | ~hBOOL(hAPP(hAPP(c_member(_u11737), _u11745), _u11738)) | ~hBOOL(hAPP(hAPP(c_member(_u11740), _u11746), _u11741)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11737, tc_fun(_u11743, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11737, _u11737, _u11739), hAPP(hAPP(c_Set_Oinsert(_u11737), _u11745), c_Orderings_Obot__class_Obot(tc_fun(_u11737, tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(_u11740, tc_fun(_u11743, tc_HOL_Obool)), tc_fun(_u11743, tc_HOL_Obool), _u11737), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11740, tc_fun(_u11743, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11740, _u11740, _u11742), hAPP(hAPP(c_Set_Oinsert(_u11740), _u11746), c_Orderings_Obot__class_Obot(tc_fun(_u11740, tc_HOL_Obool)))))), _u11744)) = hAPP(hAPP(_u11744, _u11745), _u11746)) )).
% 12.54/12.78 cnf(matrix-5717, plain, ( ~c_Equiv__Relations_Oequiv(_u11749, c_Orderings_Otop__class_Otop(tc_fun(_u11749, tc_HOL_Obool)), _u11751) | c_Equiv__Relations_Oequivp(_u11749, hAPP(hAPP(c_COMBC(_u11749, tc_fun(tc_prod(_u11749, _u11749), tc_HOL_Obool), tc_fun(_u11749, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11749, tc_fun(tc_fun(tc_prod(_u11749, _u11749), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11749, _u11749), tc_HOL_Obool), tc_fun(_u11749, tc_HOL_Obool)), _u11749), c_COMBC(_u11749, tc_fun(tc_prod(_u11749, _u11749), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11749, tc_prod(_u11749, _u11749)), tc_fun(_u11749, tc_fun(tc_fun(tc_prod(_u11749, _u11749), tc_HOL_Obool), tc_HOL_Obool)), _u11749), hAPP(c_COMBB(tc_prod(_u11749, _u11749), tc_fun(tc_fun(tc_prod(_u11749, _u11749), tc_HOL_Obool), tc_HOL_Obool), _u11749), c_member(tc_prod(_u11749, _u11749)))), c_Product__Type_OPair(_u11749, _u11749)))), _u11751)) )).
% 12.54/12.78 cnf(matrix-5718, plain, ( ~c_Equiv__Relations_Oequivp(_u11750, hAPP(hAPP(c_COMBC(_u11750, tc_fun(tc_prod(_u11750, _u11750), tc_HOL_Obool), tc_fun(_u11750, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11750, tc_fun(tc_fun(tc_prod(_u11750, _u11750), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11750, _u11750), tc_HOL_Obool), tc_fun(_u11750, tc_HOL_Obool)), _u11750), c_COMBC(_u11750, tc_fun(tc_prod(_u11750, _u11750), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11750, tc_prod(_u11750, _u11750)), tc_fun(_u11750, tc_fun(tc_fun(tc_prod(_u11750, _u11750), tc_HOL_Obool), tc_HOL_Obool)), _u11750), hAPP(c_COMBB(tc_prod(_u11750, _u11750), tc_fun(tc_fun(tc_prod(_u11750, _u11750), tc_HOL_Obool), tc_HOL_Obool), _u11750), c_member(tc_prod(_u11750, _u11750)))), c_Product__Type_OPair(_u11750, _u11750)))), _u11752)) | c_Equiv__Relations_Oequiv(_u11750, c_Orderings_Otop__class_Otop(tc_fun(_u11750, tc_HOL_Obool)), _u11752) )).
% 12.54/12.78 cnf(matrix-5719, plain, ( ~hBOOL(hAPP(hAPP(_u11754, _u11755), _u11756)) | ~hBOOL(hAPP(hAPP(_u11754, _u11756), _u11757)) | hBOOL(hAPP(hAPP(_u11754, _u11755), _u11757)) | ~c_Equiv__Relations_Oequivp(_u11753, _u11754) )).
% 12.54/12.78 cnf(matrix-5720, plain, ( ~hBOOL(hAPP(hAPP(_u11759, _u11760), _u11761)) | hBOOL(hAPP(hAPP(_u11759, _u11761), _u11760)) | ~c_Equiv__Relations_Oequivp(_u11758, _u11759) )).
% 12.54/12.78 cnf(matrix-5721, plain, ( hBOOL(hAPP(hAPP(_u11763, _u11764), _u11764)) | ~c_Equiv__Relations_Oequivp(_u11762, _u11763) )).
% 12.54/12.78 cnf(matrix-5722, plain, ( ~c_Equiv__Relations_Oequivp(_u11779, _u11781) | ~hBOOL(hAPP(hAPP(_u11781, _u11773), _u11771)) | ( hAPP(_u11781, _u11773) = hAPP(_u11781, _u11771)) )).
% 12.54/12.78 cnf(matrix-5723, plain, ( ~c_Equiv__Relations_Oequivp(_u11779, _u11781) | ( hAPP(_u11781, _u11774) != hAPP(_u11781, _u11772)) | hBOOL(hAPP(hAPP(_u11781, _u11774), _u11772)) )).
% 12.54/12.78 cnf(matrix-5724, plain, ( c_Equiv__Relations_Oequivp(_u11780, _u11782) | hBOOL(hAPP(hAPP(_u11782, skolem293(_u11782)), skolem294(_u11782))) | ( hAPP(_u11782, skolem295(_u11782)) = hAPP(_u11782, skolem296(_u11782))) )).
% 12.54/12.78 cnf(matrix-5725, plain, ( c_Equiv__Relations_Oequivp(_u11780, _u11782) | hBOOL(hAPP(hAPP(_u11782, skolem293(_u11782)), skolem294(_u11782))) | ~hBOOL(hAPP(hAPP(_u11782, skolem295(_u11782)), skolem296(_u11782))) )).
% 12.54/12.78 cnf(matrix-5726, plain, ( c_Equiv__Relations_Oequivp(_u11780, _u11782) | ( hAPP(_u11782, skolem293(_u11782)) != hAPP(_u11782, skolem294(_u11782))) | ( hAPP(_u11782, skolem295(_u11782)) = hAPP(_u11782, skolem296(_u11782))) )).
% 12.54/12.78 cnf(matrix-5727, plain, ( c_Equiv__Relations_Oequivp(_u11780, _u11782) | ( hAPP(_u11782, skolem293(_u11782)) != hAPP(_u11782, skolem294(_u11782))) | ~hBOOL(hAPP(hAPP(_u11782, skolem295(_u11782)), skolem296(_u11782))) )).
% 12.54/12.78 cnf(matrix-5728, plain, ( c_Equiv__Relations_Oequivp(_u11783, c_fequal) )).
% 12.54/12.78 cnf(matrix-5729, plain, ( ~c_Equiv__Relations_Oequiv(_u11784, _u11785, _u11786) | ~c_Equiv__Relations_Ocongruent2(_u11784, _u11787, _u11788, _u11786, _u11789, _u11790) | ~hBOOL(hAPP(hAPP(c_member(_u11784), _u11791), _u11785)) | c_Equiv__Relations_Ocongruent(_u11787, _u11788, _u11789, hAPP(_u11790, _u11791)) )).
% 12.54/12.78 cnf(matrix-5730, plain, ( ~c_Equiv__Relations_Ocongruent2(_u11792, _u11793, _u11794, _u11795, _u11796, _u11797) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11792, _u11792)), hAPP(hAPP(c_Product__Type_OPair(_u11792, _u11792), _u11798), _u11799)), _u11795)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11793, _u11793)), hAPP(hAPP(c_Product__Type_OPair(_u11793, _u11793), _u11800), _u11801)), _u11796)) | ( hAPP(hAPP(_u11797, _u11798), _u11800) = hAPP(hAPP(_u11797, _u11799), _u11801)) )).
% 12.54/12.78 cnf(matrix-5731, plain, ( ~c_Equiv__Relations_Ocongruent(_u11802, _u11803, _u11804, _u11805) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11802, _u11802)), hAPP(hAPP(c_Product__Type_OPair(_u11802, _u11802), _u11806), _u11807)), _u11804)) | ( hAPP(_u11805, _u11806) = hAPP(_u11805, _u11807)) )).
% 12.54/12.78 cnf(matrix-5732, plain, ( ~c_Equiv__Relations_Oequiv(_u11808, _u11809, _u11810) | ~c_Equiv__Relations_Oequiv(_u11811, _u11812, _u11813) | ~c_Equiv__Relations_Ocongruent2(_u11808, _u11811, tc_fun(_u11814, tc_HOL_Obool), _u11810, _u11813, _u11815) | ~hBOOL(hAPP(hAPP(c_member(_u11811), _u11816), _u11812)) | c_Equiv__Relations_Ocongruent(_u11808, tc_fun(_u11814, tc_HOL_Obool), _u11810, hAPP(hAPP(c_COMBB(tc_fun(_u11811, tc_fun(_u11814, tc_HOL_Obool)), tc_fun(_u11814, tc_HOL_Obool), _u11808), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11811, tc_fun(_u11814, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11811, _u11811, _u11813), hAPP(hAPP(c_Set_Oinsert(_u11811), _u11816), c_Orderings_Obot__class_Obot(tc_fun(_u11811, tc_HOL_Obool)))))), _u11815)) )).
% 12.54/12.78 cnf(matrix-5733, plain, ( ~c_Equiv__Relations_Oequiv(_u11819, _u11820, _u11821) | ~c_Equiv__Relations_Ocongruent(_u11819, tc_fun(_u11822, tc_HOL_Obool), _u11821, _u11823) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11819, tc_fun(_u11822, tc_HOL_Obool)), _u11824), _u11823) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11819, tc_fun(_u11822, tc_HOL_Obool)), _u11825), _u11823)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11819, tc_HOL_Obool)), _u11824), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11819), _u11820), _u11821))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11819, tc_HOL_Obool)), _u11825), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11819), _u11820), _u11821))) | ( _u11824 = _u11825) | hBOOL(hAPP(hAPP(c_member(_u11819), skolem297(_u11825, _u11824, _u11823, _u11822, _u11821, _u11820, _u11819)), _u11820)) )).
% 12.54/12.78 cnf(matrix-5734, plain, ( ~c_Equiv__Relations_Oequiv(_u11819, _u11820, _u11821) | ~c_Equiv__Relations_Ocongruent(_u11819, tc_fun(_u11822, tc_HOL_Obool), _u11821, _u11823) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11819, tc_fun(_u11822, tc_HOL_Obool)), _u11824), _u11823) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11819, tc_fun(_u11822, tc_HOL_Obool)), _u11825), _u11823)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11819, tc_HOL_Obool)), _u11824), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11819), _u11820), _u11821))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11819, tc_HOL_Obool)), _u11825), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11819), _u11820), _u11821))) | ( _u11824 = _u11825) | hBOOL(hAPP(hAPP(c_member(_u11819), skolem298(_u11825, _u11824, _u11823, _u11822, _u11821, _u11820, _u11819)), _u11820)) )).
% 12.54/12.78 cnf(matrix-5735, plain, ( ~c_Equiv__Relations_Oequiv(_u11819, _u11820, _u11821) | ~c_Equiv__Relations_Ocongruent(_u11819, tc_fun(_u11822, tc_HOL_Obool), _u11821, _u11823) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11819, tc_fun(_u11822, tc_HOL_Obool)), _u11824), _u11823) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11819, tc_fun(_u11822, tc_HOL_Obool)), _u11825), _u11823)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11819, tc_HOL_Obool)), _u11824), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11819), _u11820), _u11821))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11819, tc_HOL_Obool)), _u11825), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11819), _u11820), _u11821))) | ( _u11824 = _u11825) | ( hAPP(_u11823, skolem297(_u11825, _u11824, _u11823, _u11822, _u11821, _u11820, _u11819)) = hAPP(_u11823, skolem298(_u11825, _u11824, _u11823, _u11822, _u11821, _u11820, _u11819))) )).
% 12.54/12.79 cnf(matrix-5736, plain, ( ~c_Equiv__Relations_Oequiv(_u11819, _u11820, _u11821) | ~c_Equiv__Relations_Ocongruent(_u11819, tc_fun(_u11822, tc_HOL_Obool), _u11821, _u11823) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11819, tc_fun(_u11822, tc_HOL_Obool)), _u11824), _u11823) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11819, tc_fun(_u11822, tc_HOL_Obool)), _u11825), _u11823)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11819, tc_HOL_Obool)), _u11824), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11819), _u11820), _u11821))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11819, tc_HOL_Obool)), _u11825), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11819), _u11820), _u11821))) | ( _u11824 = _u11825) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11819, _u11819)), hAPP(hAPP(c_Product__Type_OPair(_u11819, _u11819), skolem297(_u11825, _u11824, _u11823, _u11822, _u11821, _u11820, _u11819)), skolem298(_u11825, _u11824, _u11823, _u11822, _u11821, _u11820, _u11819))), _u11821)) )).
% 12.54/12.79 cnf(matrix-5737, plain, ( ~c_Equiv__Relations_Oequiv(_u11828, _u11829, _u11830) | ~c_Equiv__Relations_Oequiv(_u11831, _u11832, _u11833) | ~c_Equiv__Relations_Ocongruent2(_u11828, _u11831, tc_fun(_u11834, tc_HOL_Obool), _u11830, _u11833, _u11835) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11828, tc_HOL_Obool)), _u11836), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11828), _u11829), _u11830))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11831, tc_HOL_Obool)), _u11837), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11831), _u11832), _u11833))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11834, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11828, tc_fun(_u11834, tc_HOL_Obool)), _u11836), hAPP(hAPP(c_COMBB(tc_fun(_u11831, tc_fun(_u11834, tc_HOL_Obool)), tc_fun(_u11834, tc_HOL_Obool), _u11828), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11831, tc_fun(_u11834, tc_HOL_Obool)), _u11837)), _u11835))), _u11838)) | hBOOL(hAPP(hAPP(c_member(_u11828), skolem299(_u11838, _u11837, _u11836, _u11835, _u11834, _u11833, _u11832, _u11831, _u11830, _u11829, _u11828)), _u11829)) )).
% 12.54/12.79 cnf(matrix-5738, plain, ( ~c_Equiv__Relations_Oequiv(_u11828, _u11829, _u11830) | ~c_Equiv__Relations_Oequiv(_u11831, _u11832, _u11833) | ~c_Equiv__Relations_Ocongruent2(_u11828, _u11831, tc_fun(_u11834, tc_HOL_Obool), _u11830, _u11833, _u11835) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11828, tc_HOL_Obool)), _u11836), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11828), _u11829), _u11830))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11831, tc_HOL_Obool)), _u11837), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11831), _u11832), _u11833))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11834, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11828, tc_fun(_u11834, tc_HOL_Obool)), _u11836), hAPP(hAPP(c_COMBB(tc_fun(_u11831, tc_fun(_u11834, tc_HOL_Obool)), tc_fun(_u11834, tc_HOL_Obool), _u11828), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11831, tc_fun(_u11834, tc_HOL_Obool)), _u11837)), _u11835))), _u11838)) | hBOOL(hAPP(hAPP(c_member(_u11831), skolem300(_u11838, _u11837, _u11836, _u11835, _u11834, _u11833, _u11832, _u11831, _u11830, _u11829, _u11828)), _u11832)) )).
% 12.54/12.79 cnf(matrix-5739, plain, ( ~c_Equiv__Relations_Oequiv(_u11828, _u11829, _u11830) | ~c_Equiv__Relations_Oequiv(_u11831, _u11832, _u11833) | ~c_Equiv__Relations_Ocongruent2(_u11828, _u11831, tc_fun(_u11834, tc_HOL_Obool), _u11830, _u11833, _u11835) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11828, tc_HOL_Obool)), _u11836), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11828), _u11829), _u11830))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11831, tc_HOL_Obool)), _u11837), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11831), _u11832), _u11833))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11834, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11828, tc_fun(_u11834, tc_HOL_Obool)), _u11836), hAPP(hAPP(c_COMBB(tc_fun(_u11831, tc_fun(_u11834, tc_HOL_Obool)), tc_fun(_u11834, tc_HOL_Obool), _u11828), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11831, tc_fun(_u11834, tc_HOL_Obool)), _u11837)), _u11835))), _u11838)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11834, tc_HOL_Obool)), hAPP(hAPP(_u11835, skolem299(_u11838, _u11837, _u11836, _u11835, _u11834, _u11833, _u11832, _u11831, _u11830, _u11829, _u11828)), skolem300(_u11838, _u11837, _u11836, _u11835, _u11834, _u11833, _u11832, _u11831, _u11830, _u11829, _u11828))), _u11838)) )).
% 12.54/12.79 cnf(matrix-5740, plain, ( ~c_Equiv__Relations_Oequiv(_u11840, _u11841, _u11842) | ~c_Equiv__Relations_Ocongruent(_u11840, tc_fun(_u11843, tc_HOL_Obool), _u11842, _u11844) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11840, tc_HOL_Obool)), _u11845), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11840), _u11841), _u11842))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11843, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11840, tc_fun(_u11843, tc_HOL_Obool)), _u11845), _u11844)), _u11846)) | hBOOL(hAPP(hAPP(c_member(_u11840), skolem301(_u11846, _u11845, _u11844, _u11843, _u11842, _u11841, _u11840)), _u11841)) )).
% 12.54/12.79 cnf(matrix-5741, plain, ( ~c_Equiv__Relations_Oequiv(_u11840, _u11841, _u11842) | ~c_Equiv__Relations_Ocongruent(_u11840, tc_fun(_u11843, tc_HOL_Obool), _u11842, _u11844) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11840, tc_HOL_Obool)), _u11845), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11840), _u11841), _u11842))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11843, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11840, tc_fun(_u11843, tc_HOL_Obool)), _u11845), _u11844)), _u11846)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11843, tc_HOL_Obool)), hAPP(_u11844, skolem301(_u11846, _u11845, _u11844, _u11843, _u11842, _u11841, _u11840))), _u11846)) )).
% 12.54/12.79 cnf(matrix-5742, plain, ( ( c_Int_OInteg = hAPP(hAPP(c_Equiv__Relations_Oquotient(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), c_Int_Ointrel)) )).
% 12.54/12.79 cnf(matrix-5743, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11847), _u11848)) | ~c_Fun_Oinj__on(_u11847, tc_fun(tc_fun(_u11847, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11847, tc_fun(tc_prod(_u11847, _u11847), tc_HOL_Obool), tc_fun(tc_fun(_u11847, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11847, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u11847, _u11847), tc_HOL_Obool), tc_fun(tc_fun(_u11847, tc_HOL_Obool), tc_HOL_Obool)), _u11847), c_Equiv__Relations_Oquotient(_u11847)), hAPP(hAPP(c_COMBC(_u11847, tc_fun(_u11847, tc_HOL_Obool), tc_fun(_u11847, tc_HOL_Obool)), c_Set_Oinsert(_u11847)), c_Orderings_Obot__class_Obot(tc_fun(_u11847, tc_HOL_Obool))))), _u11849), _u11848) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u11847, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11847), _u11848), _u11849)) = hAPP(c_Finite__Set_Ocard(_u11847), _u11848)) )).
% 12.54/12.79 cnf(matrix-5744, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11851, _u11851)), _u11852), c_Relation_OId__on(_u11851, _u11853))) | hBOOL(hAPP(hAPP(c_member(_u11851), skolem302(_u11853, _u11852, _u11851)), _u11853)) )).
% 12.54/12.79 cnf(matrix-5745, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11851, _u11851)), _u11852), c_Relation_OId__on(_u11851, _u11853))) | ( _u11852 = hAPP(hAPP(c_Product__Type_OPair(_u11851, _u11851), skolem302(_u11853, _u11852, _u11851)), skolem302(_u11853, _u11852, _u11851))) )).
% 12.54/12.79 cnf(matrix-5746, plain, ( c_Fun_Oinj__on(_u11854, _u11855, _u11856, c_Orderings_Obot__class_Obot(tc_fun(_u11854, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-5747, plain, ( ~class_Groups_Oordered__ab__group__add(_u11857) | c_Fun_Oinj__on(_u11857, _u11857, c_Groups_Ouminus__class_Ouminus(_u11857), _u11858) )).
% 12.54/12.79 cnf(matrix-5748, plain, ( ~c_Fun_Oinj__on(_u11859, _u11860, _u11861, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11859, tc_HOL_Obool)), _u11862), _u11863)) | ( hAPP(c_Set_Oimage(_u11859, _u11860, _u11861), _u11862) != hAPP(c_Set_Oimage(_u11859, _u11860, _u11861), _u11863)) | ( _u11862 = _u11863) )).
% 12.54/12.79 cnf(matrix-5749, plain, ( ~c_Fun_Oinj__on(_u11859, _u11860, _u11861, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11859, tc_HOL_Obool)), _u11862), _u11863)) | ( _u11862 != _u11863) | ( hAPP(c_Set_Oimage(_u11859, _u11860, _u11861), _u11862) = hAPP(c_Set_Oimage(_u11859, _u11860, _u11861), _u11863)) )).
% 12.54/12.79 cnf(matrix-5750, plain, ( c_Fun_Oinj__on(_u11864, _u11864, c_COMBI(_u11864), _u11865) )).
% 12.54/12.79 cnf(matrix-5751, plain, ( ~c_Fun_Oinj__on(_u11866, _u11867, _u11868, _u11869) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11866, tc_HOL_Obool)), _u11870), _u11869)) | c_Fun_Oinj__on(_u11866, _u11867, _u11868, _u11870) )).
% 12.54/12.79 cnf(matrix-5752, plain, ( ~c_Fun_Oinj__on(_u11871, _u11872, _u11873, _u11874) | ~c_Fun_Oinj__on(_u11871, _u11872, _u11873, _u11875) | c_Fun_Oinj__on(_u11871, _u11872, _u11873, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11871, tc_HOL_Obool)), _u11874), _u11875)) )).
% 12.54/12.79 cnf(matrix-5753, plain, ( ~c_Fun_Oinj__on(_u11876, _u11877, _u11878, _u11879) | c_Fun_Oinj__on(_u11876, _u11877, _u11878, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11876, tc_HOL_Obool)), _u11879), _u11880)) )).
% 12.54/12.79 cnf(matrix-5754, plain, ( ~c_Fun_Oinj__on(_u11889, _u11891, _u11893, _u11895) | ~hBOOL(hAPP(hAPP(c_member(_u11889), _u11882), _u11895)) | ~hBOOL(hAPP(hAPP(c_member(_u11889), _u11881), _u11895)) | ( hAPP(_u11893, _u11882) != hAPP(_u11893, _u11881)) | ( _u11882 = _u11881) )).
% 12.54/12.79 cnf(matrix-5755, plain, ( c_Fun_Oinj__on(_u11890, _u11892, _u11894, _u11896) | hBOOL(hAPP(hAPP(c_member(_u11890), skolem303(_u11896, _u11894, _u11892, _u11890)), _u11896)) )).
% 12.54/12.79 cnf(matrix-5756, plain, ( c_Fun_Oinj__on(_u11890, _u11892, _u11894, _u11896) | hBOOL(hAPP(hAPP(c_member(_u11890), skolem304(_u11896, _u11894, _u11892, _u11890)), _u11896)) )).
% 12.54/12.79 cnf(matrix-5757, plain, ( c_Fun_Oinj__on(_u11890, _u11892, _u11894, _u11896) | ( hAPP(_u11894, skolem303(_u11896, _u11894, _u11892, _u11890)) = hAPP(_u11894, skolem304(_u11896, _u11894, _u11892, _u11890))) )).
% 12.54/12.79 cnf(matrix-5758, plain, ( c_Fun_Oinj__on(_u11890, _u11892, _u11894, _u11896) | ( skolem303(_u11896, _u11894, _u11892, _u11890) != skolem304(_u11896, _u11894, _u11892, _u11890)) )).
% 12.54/12.79 cnf(matrix-5759, plain, ( ~c_Fun_Oinj__on(_u11897, _u11898, _u11899, _u11900) | ( hAPP(_u11899, _u11901) != hAPP(_u11899, _u11902)) | ~hBOOL(hAPP(hAPP(c_member(_u11897), _u11901), _u11900)) | ~hBOOL(hAPP(hAPP(c_member(_u11897), _u11902), _u11900)) | ( _u11901 = _u11902) )).
% 12.54/12.79 cnf(matrix-5760, plain, ( ~c_Fun_Oinj__on(_u11903, _u11904, _u11905, _u11906) | ~hBOOL(hAPP(hAPP(c_member(_u11903), _u11907), _u11906)) | ~hBOOL(hAPP(hAPP(c_member(_u11903), _u11908), _u11906)) | ( hAPP(_u11905, _u11907) != hAPP(_u11905, _u11908)) | ( _u11907 = _u11908) )).
% 12.54/12.79 cnf(matrix-5761, plain, ( ~c_Fun_Oinj__on(_u11903, _u11904, _u11905, _u11906) | ~hBOOL(hAPP(hAPP(c_member(_u11903), _u11907), _u11906)) | ~hBOOL(hAPP(hAPP(c_member(_u11903), _u11908), _u11906)) | ( _u11907 != _u11908) | ( hAPP(_u11905, _u11907) = hAPP(_u11905, _u11908)) )).
% 12.54/12.79 cnf(matrix-5762, plain, ( ~c_Fun_Oinj__on(_u11909, _u11910, _u11911, _u11912) | ( _u11913 = _u11914) | ~hBOOL(hAPP(hAPP(c_member(_u11909), _u11913), _u11912)) | ~hBOOL(hAPP(hAPP(c_member(_u11909), _u11914), _u11912)) | ( hAPP(_u11911, _u11913) != hAPP(_u11911, _u11914)) )).
% 12.54/12.79 cnf(matrix-5763, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11915), hAPP(c_Set_Oimage(_u11916, _u11915, _u11917), _u11918))) | ~c_Fun_Oinj__on(_u11916, _u11915, _u11917, _u11918) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11916), _u11918)) )).
% 12.54/12.79 cnf(matrix-5764, plain, ( ~c_Fun_Oinj__on(_u11919, _u11920, _u11921, c_Orderings_Otop__class_Otop(tc_fun(_u11919, tc_HOL_Obool))) | ( hAPP(_u11921, _u11922) != hAPP(_u11921, _u11923)) | ( _u11922 = _u11923) )).
% 12.54/12.79 cnf(matrix-5765, plain, ( ~c_Fun_Oinj__on(_u11919, _u11920, _u11921, c_Orderings_Otop__class_Otop(tc_fun(_u11919, tc_HOL_Obool))) | ( _u11922 != _u11923) | ( hAPP(_u11921, _u11922) = hAPP(_u11921, _u11923)) )).
% 12.54/12.79 cnf(matrix-5766, plain, ( ( hAPP(_u11926, _u11927) != hAPP(_u11926, _u11928)) | ( _u11927 = _u11928) | ~c_Fun_Oinj__on(_u11924, _u11925, _u11926, c_Orderings_Otop__class_Otop(tc_fun(_u11924, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-5767, plain, ( ~c_Fun_Oinj__on(_u11929, _u11930, _u11931, c_Orderings_Otop__class_Otop(tc_fun(_u11929, tc_HOL_Obool))) | c_Fun_Oinj__on(_u11929, tc_fun(_u11932, _u11930), hAPP(hAPP(c_COMBB(_u11930, tc_fun(_u11932, _u11930), _u11929), c_COMBK(_u11930, _u11932)), _u11931), c_Orderings_Otop__class_Otop(tc_fun(_u11929, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-5768, plain, ( ~c_Fun_Oinj__on(_u11933, _u11934, _u11935, c_Orderings_Otop__class_Otop(tc_fun(_u11933, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11933, _u11934, _u11935), _u11936) != hAPP(c_Set_Oimage(_u11933, _u11934, _u11935), _u11937)) | ( _u11936 = _u11937) )).
% 12.54/12.79 cnf(matrix-5769, plain, ( ~c_Fun_Oinj__on(_u11933, _u11934, _u11935, c_Orderings_Otop__class_Otop(tc_fun(_u11933, tc_HOL_Obool))) | ( _u11936 != _u11937) | ( hAPP(c_Set_Oimage(_u11933, _u11934, _u11935), _u11936) = hAPP(c_Set_Oimage(_u11933, _u11934, _u11935), _u11937)) )).
% 12.54/12.79 cnf(matrix-5770, plain, ( ~c_Fun_Oinj__on(_u11938, _u11939, _u11940, _u11941) | ( hAPP(c_Finite__Set_Ocard(_u11939), hAPP(c_Set_Oimage(_u11938, _u11939, _u11940), _u11941)) = hAPP(c_Finite__Set_Ocard(_u11938), _u11941)) )).
% 12.54/12.79 cnf(matrix-5771, plain, ( ~c_Fun_Oinj__on(_u11942, _u11943, _u11944, _u11945) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11942, tc_HOL_Obool)), _u11946), _u11945)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11943, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11942, _u11943, _u11944), _u11946)), hAPP(c_Set_Oimage(_u11942, _u11943, _u11944), _u11945))) )).
% 12.54/12.79 cnf(matrix-5772, plain, ( ~c_Fun_Oinj__on(_u11951, _u11952, _u11953, c_Orderings_Otop__class_Otop(tc_fun(_u11951, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11952), _u11954), hAPP(c_Set_Oimage(_u11951, _u11952, _u11953), c_Orderings_Otop__class_Otop(tc_fun(_u11951, tc_HOL_Obool))))) | ( _u11954 = hAPP(_u11953, skolem305(_u11954, _u11953, _u11952, _u11951))) )).
% 12.54/12.79 cnf(matrix-5773, plain, ( ~c_Fun_Oinj__on(_u11951, _u11952, _u11953, c_Orderings_Otop__class_Otop(tc_fun(_u11951, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11952), _u11954), hAPP(c_Set_Oimage(_u11951, _u11952, _u11953), c_Orderings_Otop__class_Otop(tc_fun(_u11951, tc_HOL_Obool))))) | ( _u11954 != hAPP(_u11953, _u11947)) | ( _u11947 = skolem305(_u11954, _u11953, _u11952, _u11951)) )).
% 12.54/12.79 cnf(matrix-5774, plain, ( ~c_Fun_Oinj__on(_u11951, _u11952, _u11953, c_Orderings_Otop__class_Otop(tc_fun(_u11951, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u11952), _u11954), hAPP(c_Set_Oimage(_u11951, _u11952, _u11953), c_Orderings_Otop__class_Otop(tc_fun(_u11951, tc_HOL_Obool))))) | ( _u11954 != hAPP(_u11953, _u11950)) | ( _u11954 = hAPP(_u11953, skolem306(_u11954, _u11953, _u11952, _u11951, _u11950))) )).
% 12.54/12.79 cnf(matrix-5775, plain, ( ~c_Fun_Oinj__on(_u11951, _u11952, _u11953, c_Orderings_Otop__class_Otop(tc_fun(_u11951, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u11952), _u11954), hAPP(c_Set_Oimage(_u11951, _u11952, _u11953), c_Orderings_Otop__class_Otop(tc_fun(_u11951, tc_HOL_Obool))))) | ( _u11954 != hAPP(_u11953, _u11950)) | ( skolem306(_u11954, _u11953, _u11952, _u11951, _u11950) != _u11950) )).
% 12.54/12.79 cnf(matrix-5776, plain, ( ~c_Fun_Oinj__on(_u11955, _u11956, _u11957, c_Orderings_Otop__class_Otop(tc_fun(_u11955, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11956), hAPP(_u11957, _u11958)), hAPP(c_Set_Oimage(_u11955, _u11956, _u11957), _u11959))) | hBOOL(hAPP(hAPP(c_member(_u11955), _u11958), _u11959)) )).
% 12.54/12.79 cnf(matrix-5777, plain, ( ~c_Fun_Oinj__on(_u11955, _u11956, _u11957, c_Orderings_Otop__class_Otop(tc_fun(_u11955, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11955), _u11958), _u11959)) | hBOOL(hAPP(hAPP(c_member(_u11956), hAPP(_u11957, _u11958)), hAPP(c_Set_Oimage(_u11955, _u11956, _u11957), _u11959))) )).
% 12.54/12.79 cnf(matrix-5778, plain, ( ( _u11964 = c_Orderings_Obot__class_Obot(tc_fun(_u11965, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u11965, _u11966, _u11960, _u11964) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11966, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11965, _u11966, _u11960), _u11964)), _u11967)) | ( hAPP(c_Set_Oimage(_u11966, _u11965, skolem307(_u11967, _u11966, _u11965, _u11964)), _u11967) = _u11964) )).
% 12.54/12.79 cnf(matrix-5779, plain, ( ( _u11964 = c_Orderings_Obot__class_Obot(tc_fun(_u11965, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11966, _u11965, _u11962), _u11967) != _u11964) | c_Fun_Oinj__on(_u11965, _u11966, skolem308(_u11967, _u11966, _u11965, _u11964), _u11964) )).
% 12.54/12.79 cnf(matrix-5780, plain, ( ( _u11964 = c_Orderings_Obot__class_Obot(tc_fun(_u11965, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11966, _u11965, _u11962), _u11967) != _u11964) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11966, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11965, _u11966, skolem308(_u11967, _u11966, _u11965, _u11964)), _u11964)), _u11967)) )).
% 12.54/12.79 cnf(matrix-5781, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11968), _u11969)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11968, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11968, _u11968, _u11970), _u11969)), _u11969)) | ~c_Fun_Oinj__on(_u11968, _u11968, _u11970, _u11969) | ( hAPP(c_Set_Oimage(_u11968, _u11968, _u11970), _u11969) = _u11969) )).
% 12.54/12.79 cnf(matrix-5782, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11971), _u11972)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11971, tc_HOL_Obool)), _u11972), hAPP(c_Set_Oimage(_u11971, _u11971, _u11973), _u11972))) | c_Fun_Oinj__on(_u11971, _u11971, _u11973, _u11972) )).
% 12.54/12.79 cnf(matrix-5783, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11974), c_Orderings_Otop__class_Otop(tc_fun(_u11974, tc_HOL_Obool)))) | ( hAPP(c_Set_Oimage(_u11974, _u11974, _u11975), c_Orderings_Otop__class_Otop(tc_fun(_u11974, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11974, tc_HOL_Obool))) | c_Fun_Oinj__on(_u11974, _u11974, _u11975, c_Orderings_Otop__class_Otop(tc_fun(_u11974, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-5784, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11976), c_Orderings_Otop__class_Otop(tc_fun(_u11976, tc_HOL_Obool)))) | ~c_Fun_Oinj__on(_u11976, _u11976, _u11977, c_Orderings_Otop__class_Otop(tc_fun(_u11976, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11976, _u11976, _u11977), c_Orderings_Otop__class_Otop(tc_fun(_u11976, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u11976, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-5785, plain, ( ~c_Fun_Oinj__on(_u11978, _u11979, _u11980, c_Orderings_Otop__class_Otop(tc_fun(_u11978, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11979, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11978, _u11979, _u11980), _u11981)), hAPP(c_Set_Oimage(_u11978, _u11979, _u11980), _u11982))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11978, tc_HOL_Obool)), _u11981), _u11982)) )).
% 12.54/12.79 cnf(matrix-5786, plain, ( ~c_Fun_Oinj__on(_u11978, _u11979, _u11980, c_Orderings_Otop__class_Otop(tc_fun(_u11978, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11978, tc_HOL_Obool)), _u11981), _u11982)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11979, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11978, _u11979, _u11980), _u11981)), hAPP(c_Set_Oimage(_u11978, _u11979, _u11980), _u11982))) )).
% 12.54/12.79 cnf(matrix-5787, plain, ( ~c_Fun_Oinj__on(_u11983, _u11984, _u11985, _u11986) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11983, tc_HOL_Obool)), _u11987), _u11986)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11983, tc_HOL_Obool)), _u11988), _u11986)) | ( hAPP(c_Set_Oimage(_u11983, _u11984, _u11985), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11983, tc_HOL_Obool)), _u11987), _u11988)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11984, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11983, _u11984, _u11985), _u11987)), hAPP(c_Set_Oimage(_u11983, _u11984, _u11985), _u11988))) )).
% 12.54/12.79 cnf(matrix-5788, plain, ( ~c_Fun_Oinj__on(_u11989, _u11990, _u11991, c_Orderings_Otop__class_Otop(tc_fun(_u11989, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11989, _u11990, _u11991), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11989, tc_HOL_Obool)), _u11992), _u11993)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11990, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11989, _u11990, _u11991), _u11992)), hAPP(c_Set_Oimage(_u11989, _u11990, _u11991), _u11993))) )).
% 12.54/12.79 cnf(matrix-5789, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11994), _u11995)) | ~c_Fun_Oinj__on(_u11994, _u11996, _u11997, _u11995) | ( hAPP(c_Finite__Set_Ocard(_u11996), hAPP(c_Set_Oimage(_u11994, _u11996, _u11997), _u11995)) = hAPP(c_Finite__Set_Ocard(_u11994), _u11995)) )).
% 12.54/12.79 cnf(matrix-5790, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11994), _u11995)) | ( hAPP(c_Finite__Set_Ocard(_u11996), hAPP(c_Set_Oimage(_u11994, _u11996, _u11997), _u11995)) != hAPP(c_Finite__Set_Ocard(_u11994), _u11995)) | c_Fun_Oinj__on(_u11994, _u11996, _u11997, _u11995) )).
% 12.54/12.79 cnf(matrix-5791, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11998), _u11999)) | ( hAPP(c_Finite__Set_Ocard(_u12000), hAPP(c_Set_Oimage(_u11998, _u12000, _u12001), _u11999)) != hAPP(c_Finite__Set_Ocard(_u11998), _u11999)) | c_Fun_Oinj__on(_u11998, _u12000, _u12001, _u11999) )).
% 12.54/12.79 cnf(matrix-5792, plain, ( ~c_Fun_Oinj__on(_u12002, _u12003, _u12004, _u12005) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12002, tc_HOL_Obool)), _u12006), _u12005)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12002, tc_HOL_Obool)), _u12007), _u12005)) | ( hAPP(c_Set_Oimage(_u12002, _u12003, _u12004), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12002, tc_HOL_Obool)), _u12006), _u12007)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12003, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12002, _u12003, _u12004), _u12006)), hAPP(c_Set_Oimage(_u12002, _u12003, _u12004), _u12007))) )).
% 12.54/12.79 cnf(matrix-5793, plain, ( ~c_Fun_Oinj__on(_u12008, _u12009, _u12010, c_Orderings_Otop__class_Otop(tc_fun(_u12008, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u12008, _u12009, _u12010), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12008, tc_HOL_Obool)), _u12011), _u12012)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12009, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12008, _u12009, _u12010), _u12011)), hAPP(c_Set_Oimage(_u12008, _u12009, _u12010), _u12012))) )).
% 12.54/12.79 cnf(matrix-5794, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12013), hAPP(c_Set_Oimage(_u12014, _u12013, _u12015), _u12016))), hAPP(c_Finite__Set_Ocard(_u12014), _u12016))) | ~c_Fun_Oinj__on(_u12014, _u12013, _u12015, _u12016) )).
% 12.54/12.79 cnf(matrix-5795, plain, ( ~c_Fun_Oinj__on(_u12017, _u12018, _u12019, _u12020) | hBOOL(hAPP(hAPP(c_member(_u12018), _u12021), hAPP(c_Set_Oimage(_u12017, _u12018, _u12019), _u12020))) | c_Fun_Oinj__on(_u12017, _u12018, c_Fun_Ofun__upd(_u12017, _u12018, _u12019, _u12022, _u12021), _u12020) )).
% 12.54/12.79 cnf(matrix-5796, plain, ( c_Fun_Oinj__on(_u12023, tc_fun(_u12023, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12023, tc_fun(_u12023, tc_HOL_Obool), tc_fun(_u12023, tc_HOL_Obool)), c_Set_Oinsert(_u12023)), c_Orderings_Obot__class_Obot(tc_fun(_u12023, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u12023, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-5797, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), hAPP(c_Int_ORep__Integ, _u12024)), c_Int_OInteg)) )).
% 12.54/12.79 cnf(matrix-5798, plain, ( ~c_Fun_Oinj__on(_u12025, _u12026, _u12027, _u12028) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12026, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12025, _u12026, _u12027), _u12028)), _u12029)) | ~c_Fun_Oinj__on(_u12026, _u12025, _u12030, _u12029) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12025, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12026, _u12025, _u12030), _u12029)), _u12028)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12025), _u12028)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12026), _u12029)) | ( hAPP(c_Finite__Set_Ocard(_u12025), _u12028) = hAPP(c_Finite__Set_Ocard(_u12026), _u12029)) )).
% 12.54/12.79 cnf(matrix-5799, plain, ( ~c_Fun_Oinj__on(_u12031, _u12032, _u12033, c_Orderings_Otop__class_Otop(tc_fun(_u12031, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12032, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12031, _u12032, _u12033), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12031, tc_HOL_Obool)), _u12034))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12032, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12031, _u12032, _u12033), _u12034)))) )).
% 12.54/12.79 cnf(matrix-5800, plain, ( ~c_Fun_Oinj__on(_u12040, _u12042, _u12044, hAPP(hAPP(c_Set_Oinsert(_u12040), _u12046), _u12048)) | c_Fun_Oinj__on(_u12040, _u12042, _u12044, _u12048) )).
% 12.54/12.79 cnf(matrix-5801, plain, ( ~c_Fun_Oinj__on(_u12040, _u12042, _u12044, hAPP(hAPP(c_Set_Oinsert(_u12040), _u12046), _u12048)) | ~hBOOL(hAPP(hAPP(c_member(_u12042), hAPP(_u12044, _u12046)), hAPP(c_Set_Oimage(_u12040, _u12042, _u12044), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12040, tc_HOL_Obool)), _u12048), hAPP(hAPP(c_Set_Oinsert(_u12040), _u12046), c_Orderings_Obot__class_Obot(tc_fun(_u12040, tc_HOL_Obool))))))) )).
% 12.54/12.79 cnf(matrix-5802, plain, ( ~c_Fun_Oinj__on(_u12041, _u12043, _u12045, _u12049) | hBOOL(hAPP(hAPP(c_member(_u12043), hAPP(_u12045, _u12047)), hAPP(c_Set_Oimage(_u12041, _u12043, _u12045), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12041, tc_HOL_Obool)), _u12049), hAPP(hAPP(c_Set_Oinsert(_u12041), _u12047), c_Orderings_Obot__class_Obot(tc_fun(_u12041, tc_HOL_Obool))))))) | c_Fun_Oinj__on(_u12041, _u12043, _u12045, hAPP(hAPP(c_Set_Oinsert(_u12041), _u12047), _u12049)) )).
% 12.54/12.79 cnf(matrix-5803, plain, ( ~c_Fun_Oinj__on(_u12055, _u12057, _u12059, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12055, tc_HOL_Obool)), _u12061), _u12063)) | c_Fun_Oinj__on(_u12055, _u12057, _u12059, _u12061) )).
% 12.54/12.79 cnf(matrix-5804, plain, ( ~c_Fun_Oinj__on(_u12055, _u12057, _u12059, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12055, tc_HOL_Obool)), _u12061), _u12063)) | c_Fun_Oinj__on(_u12055, _u12057, _u12059, _u12063) )).
% 12.54/12.79 cnf(matrix-5805, plain, ( ~c_Fun_Oinj__on(_u12055, _u12057, _u12059, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12055, tc_HOL_Obool)), _u12061), _u12063)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12057, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12055, _u12057, _u12059), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12055, tc_HOL_Obool)), _u12061), _u12063))), hAPP(c_Set_Oimage(_u12055, _u12057, _u12059), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12055, tc_HOL_Obool)), _u12063), _u12061))) = c_Orderings_Obot__class_Obot(tc_fun(_u12057, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-5806, plain, ( ~c_Fun_Oinj__on(_u12056, _u12058, _u12060, _u12062) | ~c_Fun_Oinj__on(_u12056, _u12058, _u12060, _u12064) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12058, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12056, _u12058, _u12060), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12056, tc_HOL_Obool)), _u12062), _u12064))), hAPP(c_Set_Oimage(_u12056, _u12058, _u12060), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12056, tc_HOL_Obool)), _u12064), _u12062))) != c_Orderings_Obot__class_Obot(tc_fun(_u12058, tc_HOL_Obool))) | c_Fun_Oinj__on(_u12056, _u12058, _u12060, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12056, tc_HOL_Obool)), _u12062), _u12064)) )).
% 12.54/12.79 cnf(matrix-5807, plain, ( ~c_Fun_Oinj__on(_u12065, _u12066, _u12067, _u12068) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12066, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12065, _u12066, _u12067), _u12068)), _u12069)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12066), _u12069)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12065), _u12068)), hAPP(c_Finite__Set_Ocard(_u12066), _u12069))) )).
% 12.54/12.79 cnf(matrix-5808, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12072), _u12073)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12074), _u12075)) | ~c_Fun_Oinj__on(_u12072, _u12074, _u12070, _u12073) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12074, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12072, _u12074, _u12070), _u12073)), _u12075)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12072), _u12073)), hAPP(c_Finite__Set_Ocard(_u12074), _u12075))) )).
% 12.54/12.79 cnf(matrix-5809, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12072), _u12073)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12074), _u12075)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12072), _u12073)), hAPP(c_Finite__Set_Ocard(_u12074), _u12075))) | c_Fun_Oinj__on(_u12072, _u12074, skolem309(_u12075, _u12074, _u12073, _u12072), _u12073) )).
% 12.54/12.79 cnf(matrix-5810, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12072), _u12073)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12074), _u12075)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12072), _u12073)), hAPP(c_Finite__Set_Ocard(_u12074), _u12075))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12074, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12072, _u12074, skolem309(_u12075, _u12074, _u12073, _u12072)), _u12073)), _u12075)) )).
% 12.54/12.79 cnf(matrix-5811, plain, ( ~c_Fun_Oinj__on(_u12076, tc_fun(tc_fun(_u12076, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12076, tc_fun(tc_prod(_u12076, _u12076), tc_HOL_Obool), tc_fun(tc_fun(_u12076, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12076, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u12076, _u12076), tc_HOL_Obool), tc_fun(tc_fun(_u12076, tc_HOL_Obool), tc_HOL_Obool)), _u12076), c_Equiv__Relations_Oquotient(_u12076)), hAPP(hAPP(c_COMBC(_u12076, tc_fun(_u12076, tc_HOL_Obool), tc_fun(_u12076, tc_HOL_Obool)), c_Set_Oinsert(_u12076)), c_Orderings_Obot__class_Obot(tc_fun(_u12076, tc_HOL_Obool))))), _u12077), _u12078) | ~hBOOL(hAPP(hAPP(c_member(_u12076), _u12079), _u12078)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12076), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12076, tc_HOL_Obool)), _u12078), hAPP(hAPP(c_Set_Oinsert(_u12076), _u12079), c_Orderings_Obot__class_Obot(tc_fun(_u12076, tc_HOL_Obool))))), _u12077) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(_u12076, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12076), _u12078), _u12077)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12076), hAPP(hAPP(c_Set_Oinsert(_u12076), _u12079), c_Orderings_Obot__class_Obot(tc_fun(_u12076, tc_HOL_Obool)))), _u12077))) )).
% 12.54/12.79 cnf(matrix-5812, plain, ( c_Typedef_Otype__definition(tc_Int_Oint, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), c_Int_ORep__Integ, c_Int_OAbs__Integ, c_Int_OInteg) )).
% 12.54/12.79 cnf(matrix-5813, plain, ( ~c_Fun_Oinj__on(_u12081, _u12082, _u12083, _u12084) | ~hBOOL(hAPP(hAPP(c_member(_u12085), _u12088), _u12086)) | ( hAPP(c_Set_Oimage(_u12081, _u12082, _u12083), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u12085, tc_fun(_u12081, tc_HOL_Obool)), _u12086), _u12087)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u12085, tc_fun(_u12082, tc_HOL_Obool)), _u12086), hAPP(hAPP(c_COMBB(tc_fun(_u12081, tc_HOL_Obool), tc_fun(_u12082, tc_HOL_Obool), _u12085), c_Set_Oimage(_u12081, _u12082, _u12083)), _u12087))) | hBOOL(hAPP(hAPP(c_member(_u12085), skolem310(_u12088, _u12087, _u12086, _u12085, _u12084, _u12083, _u12082, _u12081)), _u12086)) )).
% 12.54/12.79 cnf(matrix-5814, plain, ( ~c_Fun_Oinj__on(_u12081, _u12082, _u12083, _u12084) | ~hBOOL(hAPP(hAPP(c_member(_u12085), _u12088), _u12086)) | ( hAPP(c_Set_Oimage(_u12081, _u12082, _u12083), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u12085, tc_fun(_u12081, tc_HOL_Obool)), _u12086), _u12087)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u12085, tc_fun(_u12082, tc_HOL_Obool)), _u12086), hAPP(hAPP(c_COMBB(tc_fun(_u12081, tc_HOL_Obool), tc_fun(_u12082, tc_HOL_Obool), _u12085), c_Set_Oimage(_u12081, _u12082, _u12083)), _u12087))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12081, tc_HOL_Obool)), hAPP(_u12087, skolem310(_u12088, _u12087, _u12086, _u12085, _u12084, _u12083, _u12082, _u12081))), _u12084)) )).
% 12.54/12.79 cnf(matrix-5815, plain, ( ~c_Fun_Oinj__on(_u12089, _u12090, _u12091, _u12092) | ~hBOOL(hAPP(hAPP(c_member(_u12090), _u12093), hAPP(c_Set_Oimage(_u12089, _u12090, _u12091), _u12092))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12089, tc_HOL_Obool)), _u12092), _u12094)) | hBOOL(hAPP(hAPP(c_member(_u12089), hAPP(c_Fun_Othe__inv__into(_u12089, _u12090, _u12092, _u12091), _u12093)), _u12094)) )).
% 12.54/12.79 cnf(matrix-5816, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12101), _u12103)) | ( _u12103 = hAPP(c_Set_Oimage(tc_Nat_Onat, _u12101, skolem312(_u12103, _u12101)), 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)), skolem311(_u12103, _u12101))))) )).
% 12.54/12.79 cnf(matrix-5817, plain, ( ( _u12104 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u12102, _u12097), 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)), _u12098)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12102), _u12104)) )).
% 12.54/12.79 cnf(matrix-5818, 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)), _u12105), _u12106) )).
% 12.54/12.79 cnf(matrix-5819, plain, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc, _u12107) )).
% 12.54/12.79 cnf(matrix-5820, plain, ( ~class_Nat_Osemiring__char__0(_u12108) | c_Fun_Oinj__on(tc_Nat_Onat, _u12108, c_Nat_Osemiring__1__class_Oof__nat(_u12108), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-5821, plain, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-5822, plain, ( c_Fun_Oinj__on(tc_prod(_u12109, _u12110), tc_prod(_u12110, _u12109), hAPP(c_Product__Type_Oprod_Oprod__case(_u12109, _u12110, tc_prod(_u12110, _u12109)), hAPP(c_COMBC(_u12110, _u12109, tc_prod(_u12110, _u12109)), c_Product__Type_OPair(_u12110, _u12109))), _u12111) )).
% 12.54/12.79 cnf(matrix-5823, plain, ( ~c_Fun_Oinj__on(_u12112, _u12113, _u12114, _u12115) | ~hBOOL(hAPP(hAPP(c_member(_u12112), _u12116), _u12115)) | ( hAPP(c_Fun_Othe__inv__into(_u12112, _u12113, _u12115, _u12114), hAPP(_u12114, _u12116)) = _u12116) )).
% 12.54/12.79 cnf(matrix-5824, plain, ( ~c_Fun_Oinj__on(_u12117, _u12118, _u12119, _u12120) | ( hAPP(_u12119, _u12121) != _u12122) | ~hBOOL(hAPP(hAPP(c_member(_u12117), _u12121), _u12120)) | ( hAPP(c_Fun_Othe__inv__into(_u12117, _u12118, _u12120, _u12119), _u12122) = _u12121) )).
% 12.54/12.79 cnf(matrix-5825, plain, ( ~c_Fun_Oinj__on(_u12123, _u12124, _u12125, c_Orderings_Otop__class_Otop(tc_fun(_u12123, tc_HOL_Obool))) | ( hAPP(c_Fun_Othe__inv__into(_u12123, _u12124, c_Orderings_Otop__class_Otop(tc_fun(_u12123, tc_HOL_Obool)), _u12125), hAPP(_u12125, _u12126)) = _u12126) )).
% 12.54/12.79 cnf(matrix-5826, plain, ( ~c_Fun_Oinj__on(_u12127, _u12128, _u12129, _u12130) | ( hAPP(c_Set_Oimage(_u12128, _u12127, c_Fun_Othe__inv__into(_u12127, _u12128, _u12130, _u12129)), hAPP(c_Set_Oimage(_u12127, _u12128, _u12129), _u12130)) = _u12130) )).
% 12.54/12.79 cnf(matrix-5827, plain, ( ~c_Fun_Oinj__on(_u12131, _u12132, _u12133, _u12134) | c_Fun_Oinj__on(_u12132, _u12131, c_Fun_Othe__inv__into(_u12131, _u12132, _u12134, _u12133), hAPP(c_Set_Oimage(_u12131, _u12132, _u12133), _u12134)) )).
% 12.54/12.79 cnf(matrix-5828, plain, ( c_Fun_Oinj__on(tc_fun(_u12135, _u12136), tc_fun(tc_prod(_u12135, _u12136), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u12135, _u12136), tc_HOL_Obool), tc_fun(tc_prod(_u12135, _u12136), tc_HOL_Obool), tc_fun(_u12135, _u12136)), c_Set_OCollect(tc_prod(_u12135, _u12136))), hAPP(hAPP(c_COMBB(tc_fun(_u12135, tc_fun(_u12136, tc_HOL_Obool)), tc_fun(tc_prod(_u12135, _u12136), tc_HOL_Obool), tc_fun(_u12135, _u12136)), c_Product__Type_Oprod_Oprod__case(_u12135, _u12136, tc_HOL_Obool)), hAPP(c_COMBB(_u12136, tc_fun(_u12136, tc_HOL_Obool), _u12135), hAPP(c_COMBC(_u12136, _u12136, tc_HOL_Obool), c_fequal)))), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u12135, _u12136), tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-5829, plain, ( ~c_Fun_Oinj__on(_u12137, _u12138, _u12139, _u12140) | ~hBOOL(hAPP(hAPP(c_member(_u12138), _u12141), hAPP(c_Set_Oimage(_u12137, _u12138, _u12139), _u12140))) | ( hAPP(_u12139, hAPP(c_Fun_Othe__inv__into(_u12137, _u12138, _u12140, _u12139), _u12141)) = _u12141) )).
% 12.54/12.79 cnf(matrix-5830, plain, ( ~class_Groups_Ocomm__monoid__add(_u12143) | ~class_Groups_Ocomm__monoid__mult(_u12143) | ( _u12144 != _u12145) | ~c_Nat__Transfer_Onat__set(_u12145) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12143), _u12146), _u12144) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12143), _u12147), _u12145)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem313(_u12147, _u12146, _u12145, _u12144, _u12143))) )).
% 12.54/12.79 cnf(matrix-5831, plain, ( ~class_Groups_Ocomm__monoid__add(_u12143) | ~class_Groups_Ocomm__monoid__mult(_u12143) | ( _u12144 != _u12145) | ~c_Nat__Transfer_Onat__set(_u12145) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12143), _u12146), _u12144) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u12143), _u12147), _u12145)) | ( hAPP(_u12146, skolem313(_u12147, _u12146, _u12145, _u12144, _u12143)) != hAPP(_u12147, skolem313(_u12147, _u12146, _u12145, _u12144, _u12143))) )).
% 12.54/12.79 cnf(matrix-5832, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u12151, hAPP(hAPP(c_COMBC(_u12151, tc_fun(tc_prod(_u12151, _u12151), tc_HOL_Obool), tc_fun(_u12151, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12151, tc_fun(tc_fun(tc_prod(_u12151, _u12151), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12151, _u12151), tc_HOL_Obool), tc_fun(_u12151, tc_HOL_Obool)), _u12151), c_COMBC(_u12151, tc_fun(tc_prod(_u12151, _u12151), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12151, tc_prod(_u12151, _u12151)), tc_fun(_u12151, tc_fun(tc_fun(tc_prod(_u12151, _u12151), tc_HOL_Obool), tc_HOL_Obool)), _u12151), hAPP(c_COMBB(tc_prod(_u12151, _u12151), tc_fun(tc_fun(tc_prod(_u12151, _u12151), tc_HOL_Obool), tc_HOL_Obool), _u12151), c_member(tc_prod(_u12151, _u12151)))), c_Product__Type_OPair(_u12151, _u12151)))), _u12153)), _u12155)) | hBOOL(hAPP(hAPP(c_member(_u12151), _u12155), c_Wellfounded_Oacc(_u12151, _u12153))) )).
% 12.54/12.79 cnf(matrix-5833, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12152), _u12156), c_Wellfounded_Oacc(_u12152, _u12154))) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u12152, hAPP(hAPP(c_COMBC(_u12152, tc_fun(tc_prod(_u12152, _u12152), tc_HOL_Obool), tc_fun(_u12152, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12152, tc_fun(tc_fun(tc_prod(_u12152, _u12152), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12152, _u12152), tc_HOL_Obool), tc_fun(_u12152, tc_HOL_Obool)), _u12152), c_COMBC(_u12152, tc_fun(tc_prod(_u12152, _u12152), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12152, tc_prod(_u12152, _u12152)), tc_fun(_u12152, tc_fun(tc_fun(tc_prod(_u12152, _u12152), tc_HOL_Obool), tc_HOL_Obool)), _u12152), hAPP(c_COMBB(tc_prod(_u12152, _u12152), tc_fun(tc_fun(tc_prod(_u12152, _u12152), tc_HOL_Obool), tc_HOL_Obool), _u12152), c_member(tc_prod(_u12152, _u12152)))), c_Product__Type_OPair(_u12152, _u12152)))), _u12154)), _u12156)) )).
% 12.54/12.79 cnf(matrix-5834, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12157, _u12158, _u12159), _u12160), _u12161) = hAPP(c_Set_OCollect(tc_prod(_u12157, _u12159)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12157, _u12159, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u12159, tc_fun(_u12158, tc_HOL_Obool)), tc_fun(_u12159, tc_HOL_Obool), _u12157), hAPP(c_COMBB(tc_fun(_u12158, tc_HOL_Obool), tc_HOL_Obool, _u12159), c_HOL_OEx(_u12158))), hAPP(hAPP(c_COMBC(_u12157, tc_fun(_u12159, tc_fun(_u12158, tc_HOL_Obool)), tc_fun(_u12159, tc_fun(_u12158, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12158, tc_HOL_Obool), tc_fun(_u12158, tc_HOL_Obool)), tc_fun(tc_fun(_u12159, tc_fun(_u12158, tc_HOL_Obool)), tc_fun(_u12159, tc_fun(_u12158, tc_HOL_Obool))), _u12157), c_COMBB(tc_fun(_u12158, tc_HOL_Obool), tc_fun(_u12158, tc_HOL_Obool), _u12159)), hAPP(hAPP(c_COMBB(tc_fun(_u12158, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12158, tc_HOL_Obool), tc_fun(_u12158, tc_HOL_Obool)), _u12157), c_COMBS(_u12158, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12158, tc_HOL_Obool), tc_fun(_u12158, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12157), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12158), c_fconj)), hAPP(hAPP(c_COMBC(_u12157, tc_fun(tc_prod(_u12157, _u12158), tc_HOL_Obool), tc_fun(_u12158, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12158, tc_fun(tc_fun(tc_prod(_u12157, _u12158), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12157, _u12158), tc_HOL_Obool), tc_fun(_u12158, tc_HOL_Obool)), _u12157), c_COMBC(_u12158, tc_fun(tc_prod(_u12157, _u12158), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12158, tc_prod(_u12157, _u12158)), tc_fun(_u12158, tc_fun(tc_fun(tc_prod(_u12157, _u12158), tc_HOL_Obool), tc_HOL_Obool)), _u12157), hAPP(c_COMBB(tc_prod(_u12157, _u12158), tc_fun(tc_fun(tc_prod(_u12157, _u12158), tc_HOL_Obool), tc_HOL_Obool), _u12158), c_member(tc_prod(_u12157, _u12158)))), c_Product__Type_OPair(_u12157, _u12158)))), _u12160))))), hAPP(hAPP(c_COMBC(_u12159, tc_fun(tc_prod(_u12158, _u12159), tc_HOL_Obool), tc_fun(_u12158, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12158, tc_fun(tc_fun(tc_prod(_u12158, _u12159), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12158, _u12159), tc_HOL_Obool), tc_fun(_u12158, tc_HOL_Obool)), _u12159), c_COMBC(_u12158, tc_fun(tc_prod(_u12158, _u12159), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12158, tc_prod(_u12158, _u12159)), tc_fun(_u12158, tc_fun(tc_fun(tc_prod(_u12158, _u12159), tc_HOL_Obool), tc_HOL_Obool)), _u12159), hAPP(c_COMBB(tc_prod(_u12158, _u12159), tc_fun(tc_fun(tc_prod(_u12158, _u12159), tc_HOL_Obool), tc_HOL_Obool), _u12158), c_member(tc_prod(_u12158, _u12159)))), hAPP(c_COMBC(_u12158, _u12159, tc_prod(_u12158, _u12159)), c_Product__Type_OPair(_u12158, _u12159))))), _u12161)))))) )).
% 12.54/12.79 cnf(matrix-5835, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12162, _u12163)), hAPP(hAPP(c_Product__Type_OPair(_u12162, _u12163), _u12164), _u12165)), _u12166)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12163, _u12167)), hAPP(hAPP(c_Product__Type_OPair(_u12163, _u12167), _u12165), _u12168)), _u12169)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12162, _u12167)), hAPP(hAPP(c_Product__Type_OPair(_u12162, _u12167), _u12164), _u12168)), hAPP(hAPP(c_Relation_Orel__comp(_u12162, _u12163, _u12167), _u12166), _u12169))) )).
% 12.54/12.79 cnf(matrix-5836, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12170, _u12171, _u12172), _u12173), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12174, tc_fun(tc_prod(_u12171, _u12172), tc_HOL_Obool)), _u12175), _u12176)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12174, tc_fun(tc_prod(_u12170, _u12172), tc_HOL_Obool)), _u12175), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u12171, _u12172), tc_HOL_Obool), tc_fun(tc_prod(_u12170, _u12172), tc_HOL_Obool), _u12174), hAPP(c_Relation_Orel__comp(_u12170, _u12171, _u12172), _u12173)), _u12176))) )).
% 12.54/12.79 cnf(matrix-5837, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12177, _u12178, _u12179), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12180, tc_fun(tc_prod(_u12177, _u12178), tc_HOL_Obool)), _u12181), _u12182)), _u12183) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12180, tc_fun(tc_prod(_u12177, _u12179), tc_HOL_Obool)), _u12181), hAPP(hAPP(c_COMBC(_u12180, tc_fun(tc_prod(_u12178, _u12179), tc_HOL_Obool), tc_fun(tc_prod(_u12177, _u12179), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u12177, _u12178), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u12178, _u12179), tc_HOL_Obool), tc_fun(tc_prod(_u12177, _u12179), tc_HOL_Obool)), _u12180), c_Relation_Orel__comp(_u12177, _u12178, _u12179)), _u12182)), _u12183))) )).
% 12.54/12.79 cnf(matrix-5838, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12184, _u12185, _u12186), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12184, _u12185), tc_HOL_Obool))), _u12187) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12184, _u12186), tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-5839, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12188, _u12189, _u12190), _u12191), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12189, _u12190), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12188, _u12190), tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-5840, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12192, _u12193, _u12194), _u12195), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12193, _u12194), tc_HOL_Obool)), _u12196), _u12197)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12192, _u12194), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12192, _u12193, _u12194), _u12195), _u12196)), hAPP(hAPP(c_Relation_Orel__comp(_u12192, _u12193, _u12194), _u12195), _u12197))) )).
% 12.54/12.79 cnf(matrix-5841, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12198, _u12199, _u12200), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12198, _u12199), tc_HOL_Obool)), _u12201), _u12202)), _u12203) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12198, _u12200), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12198, _u12199, _u12200), _u12201), _u12203)), hAPP(hAPP(c_Relation_Orel__comp(_u12198, _u12199, _u12200), _u12202), _u12203))) )).
% 12.54/12.79 cnf(matrix-5842, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12204, _u12205, _u12206), hAPP(hAPP(c_Relation_Orel__comp(_u12204, _u12207, _u12205), _u12208), _u12209)), _u12210) = hAPP(hAPP(c_Relation_Orel__comp(_u12204, _u12207, _u12206), _u12208), hAPP(hAPP(c_Relation_Orel__comp(_u12207, _u12205, _u12206), _u12209), _u12210))) )).
% 12.54/12.79 cnf(matrix-5843, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12211, _u12212), tc_HOL_Obool)), _u12213), _u12214)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12212, _u12215), tc_HOL_Obool)), _u12216), _u12217)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12211, _u12215), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12211, _u12212, _u12215), _u12213), _u12216)), hAPP(hAPP(c_Relation_Orel__comp(_u12211, _u12212, _u12215), _u12214), _u12217))) )).
% 12.54/12.79 cnf(matrix-5844, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12218, _u12218, _u12218), _u12219), _u12220) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12218, _u12218), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12218, _u12218, _u12218), _u12219), _u12221) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12218, _u12218), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12218, _u12218, _u12218), _u12219), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12218, _u12218), tc_HOL_Obool)), _u12220), _u12221)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12218, _u12218), tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-5845, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12222, _u12222, _u12222), _u12223), _u12224) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12222, _u12222), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12222, _u12222, _u12222), _u12225), _u12224) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12222, _u12222), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12222, _u12222, _u12222), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12222, _u12222), tc_HOL_Obool)), _u12223), _u12225)), _u12224) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12222, _u12222), tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-5846, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12226, _u12226), tc_HOL_Obool)), _u12227), _u12228)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12226, tc_HOL_Obool)), c_Wellfounded_Oacc(_u12226, _u12228)), c_Wellfounded_Oacc(_u12226, _u12227))) )).
% 12.54/12.79 cnf(matrix-5847, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12229), _u12230), c_Wellfounded_Oacc(_u12229, _u12231))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12229, _u12229)), hAPP(hAPP(c_Product__Type_OPair(_u12229, _u12229), _u12232), _u12230)), _u12231)) | hBOOL(hAPP(hAPP(c_member(_u12229), _u12232), c_Wellfounded_Oacc(_u12229, _u12231))) )).
% 12.54/12.79 cnf(matrix-5848, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12238), _u12240), c_Wellfounded_Oacc(_u12238, _u12242))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12238, _u12238)), hAPP(hAPP(c_Product__Type_OPair(_u12238, _u12238), _u12233), _u12240)), _u12242)) | hBOOL(hAPP(hAPP(c_member(_u12238), _u12233), c_Wellfounded_Oacc(_u12238, _u12242))) )).
% 12.54/12.79 cnf(matrix-5849, plain, ( hBOOL(hAPP(hAPP(c_member(_u12239), _u12241), c_Wellfounded_Oacc(_u12239, _u12243))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12239, _u12239)), hAPP(hAPP(c_Product__Type_OPair(_u12239, _u12239), skolem314(_u12243, _u12241, _u12239)), _u12241)), _u12243)) )).
% 12.54/12.79 cnf(matrix-5850, plain, ( hBOOL(hAPP(hAPP(c_member(_u12239), _u12241), c_Wellfounded_Oacc(_u12239, _u12243))) | ~hBOOL(hAPP(hAPP(c_member(_u12239), skolem314(_u12243, _u12241, _u12239)), c_Wellfounded_Oacc(_u12239, _u12243))) )).
% 12.54/12.79 cnf(matrix-5851, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12244, _u12244), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12244, _u12244, _u12244), _u12245), _u12246)), _u12245)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u12244, tc_HOL_Obool), tc_fun(_u12244, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u12244, tc_HOL_Obool), tc_fun(_u12244, tc_HOL_Obool), tc_fun(_u12244, tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u12244, _u12245)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u12244, tc_HOL_Obool), tc_fun(_u12244, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u12244, _u12246)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u12244, tc_HOL_Obool), tc_fun(_u12244, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12244, tc_HOL_Obool), tc_fun(_u12244, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u12244, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u12244, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u12244, tc_HOL_Obool), tc_fun(_u12244, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omax__ext(_u12244, _u12245))) )).
% 12.54/12.79 cnf(matrix-5852, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12247, _u12247), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12247, _u12247, _u12247), _u12248), _u12249)), _u12248)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u12247, tc_HOL_Obool), tc_fun(_u12247, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u12247, tc_HOL_Obool), tc_fun(_u12247, tc_HOL_Obool), tc_fun(_u12247, tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u12247, _u12248)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u12247, tc_HOL_Obool), tc_fun(_u12247, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u12247, _u12249)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u12247, tc_HOL_Obool), tc_fun(_u12247, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12247, tc_HOL_Obool), tc_fun(_u12247, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u12247, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u12247, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u12247, tc_HOL_Obool), tc_fun(_u12247, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omin__ext(_u12247, _u12248))) )).
% 12.54/12.79 cnf(matrix-5853, plain, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12257, _u12259, _u12261, hAPP(hAPP(c_COMBC(_u12257, tc_fun(tc_prod(_u12257, _u12259), tc_HOL_Obool), tc_fun(_u12259, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12259, tc_fun(tc_fun(tc_prod(_u12257, _u12259), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12257, _u12259), tc_HOL_Obool), tc_fun(_u12259, tc_HOL_Obool)), _u12257), c_COMBC(_u12259, tc_fun(tc_prod(_u12257, _u12259), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12259, tc_prod(_u12257, _u12259)), tc_fun(_u12259, tc_fun(tc_fun(tc_prod(_u12257, _u12259), tc_HOL_Obool), tc_HOL_Obool)), _u12257), hAPP(c_COMBB(tc_prod(_u12257, _u12259), tc_fun(tc_fun(tc_prod(_u12257, _u12259), tc_HOL_Obool), tc_HOL_Obool), _u12259), c_member(tc_prod(_u12257, _u12259)))), c_Product__Type_OPair(_u12257, _u12259)))), _u12263), hAPP(hAPP(c_COMBC(_u12259, tc_fun(tc_prod(_u12259, _u12261), tc_HOL_Obool), tc_fun(_u12261, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12261, tc_fun(tc_fun(tc_prod(_u12259, _u12261), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12259, _u12261), tc_HOL_Obool), tc_fun(_u12261, tc_HOL_Obool)), _u12259), c_COMBC(_u12261, tc_fun(tc_prod(_u12259, _u12261), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12261, tc_prod(_u12259, _u12261)), tc_fun(_u12261, tc_fun(tc_fun(tc_prod(_u12259, _u12261), tc_HOL_Obool), tc_HOL_Obool)), _u12259), hAPP(c_COMBB(tc_prod(_u12259, _u12261), tc_fun(tc_fun(tc_prod(_u12259, _u12261), tc_HOL_Obool), tc_HOL_Obool), _u12261), c_member(tc_prod(_u12259, _u12261)))), c_Product__Type_OPair(_u12259, _u12261)))), _u12265)), _u12267), _u12269)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12257, _u12261)), hAPP(hAPP(c_Product__Type_OPair(_u12257, _u12261), _u12267), _u12269)), hAPP(hAPP(c_Relation_Orel__comp(_u12257, _u12259, _u12261), _u12263), _u12265))) )).
% 12.54/12.79 cnf(matrix-5854, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12258, _u12262)), hAPP(hAPP(c_Product__Type_OPair(_u12258, _u12262), _u12268), _u12270)), hAPP(hAPP(c_Relation_Orel__comp(_u12258, _u12260, _u12262), _u12264), _u12266))) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12258, _u12260, _u12262, hAPP(hAPP(c_COMBC(_u12258, tc_fun(tc_prod(_u12258, _u12260), tc_HOL_Obool), tc_fun(_u12260, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12260, tc_fun(tc_fun(tc_prod(_u12258, _u12260), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12258, _u12260), tc_HOL_Obool), tc_fun(_u12260, tc_HOL_Obool)), _u12258), c_COMBC(_u12260, tc_fun(tc_prod(_u12258, _u12260), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12260, tc_prod(_u12258, _u12260)), tc_fun(_u12260, tc_fun(tc_fun(tc_prod(_u12258, _u12260), tc_HOL_Obool), tc_HOL_Obool)), _u12258), hAPP(c_COMBB(tc_prod(_u12258, _u12260), tc_fun(tc_fun(tc_prod(_u12258, _u12260), tc_HOL_Obool), tc_HOL_Obool), _u12260), c_member(tc_prod(_u12258, _u12260)))), c_Product__Type_OPair(_u12258, _u12260)))), _u12264), hAPP(hAPP(c_COMBC(_u12260, tc_fun(tc_prod(_u12260, _u12262), tc_HOL_Obool), tc_fun(_u12262, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12262, tc_fun(tc_fun(tc_prod(_u12260, _u12262), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12260, _u12262), tc_HOL_Obool), tc_fun(_u12262, tc_HOL_Obool)), _u12260), c_COMBC(_u12262, tc_fun(tc_prod(_u12260, _u12262), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12262, tc_prod(_u12260, _u12262)), tc_fun(_u12262, tc_fun(tc_fun(tc_prod(_u12260, _u12262), tc_HOL_Obool), tc_HOL_Obool)), _u12260), hAPP(c_COMBB(tc_prod(_u12260, _u12262), tc_fun(tc_fun(tc_prod(_u12260, _u12262), tc_HOL_Obool), tc_HOL_Obool), _u12262), c_member(tc_prod(_u12260, _u12262)))), c_Product__Type_OPair(_u12260, _u12262)))), _u12266)), _u12268), _u12270)) )).
% 12.54/12.79 cnf(matrix-5855, plain, ( ~c_Wellfounded_Owf(_u12271, _u12272) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12271, _u12271), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12271, _u12271, _u12271), _u12272), _u12273)), _u12272)) | c_FunDef_Oreduction__pair(_u12271, hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(_u12271, _u12271), tc_HOL_Obool), tc_fun(tc_prod(_u12271, _u12271), tc_HOL_Obool)), _u12272), _u12273)) )).
% 12.54/12.79 cnf(matrix-5856, plain, ( ~c_Wellfounded_Omax__extp(_u12282, _u12284, _u12286, _u12288) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12282), _u12286)) )).
% 12.54/12.79 cnf(matrix-5857, plain, ( ~c_Wellfounded_Omax__extp(_u12282, _u12284, _u12286, _u12288) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12282), _u12288)) )).
% 12.54/12.79 cnf(matrix-5858, plain, ( ~c_Wellfounded_Omax__extp(_u12282, _u12284, _u12286, _u12288) | ( _u12288 != c_Orderings_Obot__class_Obot(tc_fun(_u12282, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-5859, plain, ( ~c_Wellfounded_Omax__extp(_u12282, _u12284, _u12286, _u12288) | ~hBOOL(hAPP(hAPP(c_member(_u12282), _u12275), _u12286)) | hBOOL(hAPP(hAPP(c_member(_u12282), skolem315(_u12288, _u12286, _u12284, _u12282, _u12275)), _u12288)) )).
% 12.54/12.79 cnf(matrix-5860, plain, ( ~c_Wellfounded_Omax__extp(_u12282, _u12284, _u12286, _u12288) | ~hBOOL(hAPP(hAPP(c_member(_u12282), _u12275), _u12286)) | hBOOL(hAPP(hAPP(_u12284, _u12275), skolem315(_u12288, _u12286, _u12284, _u12282, _u12275))) )).
% 12.54/12.79 cnf(matrix-5861, plain, ( c_Wellfounded_Omax__extp(_u12283, _u12285, _u12287, _u12289) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12283), _u12287)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12283), _u12289)) | ( _u12289 = c_Orderings_Obot__class_Obot(tc_fun(_u12283, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u12283), skolem316(_u12289, _u12287, _u12285, _u12283)), _u12287)) )).
% 12.54/12.79 cnf(matrix-5862, plain, ( c_Wellfounded_Omax__extp(_u12283, _u12285, _u12287, _u12289) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12283), _u12287)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12283), _u12289)) | ( _u12289 = c_Orderings_Obot__class_Obot(tc_fun(_u12283, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u12283), _u12276), _u12289)) | ~hBOOL(hAPP(hAPP(_u12285, skolem316(_u12289, _u12287, _u12285, _u12283)), _u12276)) )).
% 12.54/12.79 cnf(matrix-5863, plain, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 12.54/12.79 cnf(matrix-5864, plain, ( ~hBOOL(hAPP(hAPP(_u12290, _u12291), _u12292)) | ~hBOOL(hAPP(hAPP(_u12293, _u12292), _u12294)) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12295, _u12296, _u12297, _u12290, _u12293), _u12291), _u12294)) )).
% 12.54/12.79 cnf(matrix-5865, plain, ( c_Wellfounded_Owf(_u12298, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12298, _u12298), tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-5866, plain, ( ~c_Wellfounded_Owf(_u12299, _u12300) | c_Wellfounded_Owf(_u12301, hAPP(hAPP(c_Relation_Oinv__image(_u12299, _u12301), _u12300), _u12302)) )).
% 12.54/12.79 cnf(matrix-5867, plain, ( ~c_Wellfounded_Owf(_u12303, _u12304) | ~c_Wellfounded_Owf(_u12305, _u12306) | c_Wellfounded_Owf(tc_prod(_u12303, _u12305), c_Wellfounded_Olex__prod(_u12303, _u12305, _u12304, _u12306)) )).
% 12.54/12.79 cnf(matrix-5868, plain, ( c_Wellfounded_Owf(_u12307, hAPP(c_Wellfounded_Omeasure(_u12307), _u12308)) )).
% 12.54/12.79 cnf(matrix-5869, plain, ( ~c_Wellfounded_Owf(_u12311, _u12313) | c_Wellfounded_Owf(_u12311, hAPP(hAPP(c_Relation_Orel__comp(_u12311, _u12311, _u12311), _u12313), _u12313)) )).
% 12.54/12.79 cnf(matrix-5870, plain, ( ~c_Wellfounded_Owf(_u12312, hAPP(hAPP(c_Relation_Orel__comp(_u12312, _u12312, _u12312), _u12314), _u12314)) | c_Wellfounded_Owf(_u12312, _u12314) )).
% 12.54/12.79 cnf(matrix-5871, plain, ( ~c_Wellfounded_Owf(_u12315, _u12316) | c_Wellfounded_Owf(tc_fun(_u12315, tc_HOL_Obool), c_Wellfounded_Omin__ext(_u12315, _u12316)) )).
% 12.54/12.79 cnf(matrix-5872, plain, ( c_Wellfounded_Owf(tc_fun(_u12317, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u12317)) )).
% 12.54/12.79 cnf(matrix-5873, plain, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12327, _u12329, _u12331, _u12333, _u12335), _u12337), _u12339)) | hBOOL(hAPP(hAPP(_u12333, _u12337), skolem317(_u12339, _u12337, _u12335, _u12333))) )).
% 12.54/12.79 cnf(matrix-5874, plain, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12327, _u12329, _u12331, _u12333, _u12335), _u12337), _u12339)) | hBOOL(hAPP(hAPP(_u12335, skolem317(_u12339, _u12337, _u12335, _u12333)), _u12339)) )).
% 12.54/12.79 cnf(matrix-5875, plain, ( ~hBOOL(hAPP(hAPP(_u12334, _u12338), _u12319)) | ~hBOOL(hAPP(hAPP(_u12336, _u12319), _u12340)) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12328, _u12330, _u12332, _u12334, _u12336), _u12338), _u12340)) )).
% 12.54/12.79 cnf(matrix-5876, plain, ( ~c_Wellfounded_Owf(_u12341, _u12342) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12341, _u12341), tc_HOL_Obool)), _u12343), _u12342)) | c_Wellfounded_Owf(_u12341, _u12343) )).
% 12.54/12.79 cnf(matrix-5877, plain, ( ~c_Wellfounded_Owf(_u12344, _u12345) | c_Wellfounded_Owf(_u12344, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12344, _u12344), tc_HOL_Obool)), _u12346), _u12345)) )).
% 12.54/12.79 cnf(matrix-5878, plain, ( ~c_Wellfounded_Owf(_u12347, _u12348) | c_Wellfounded_Owf(_u12347, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12347, _u12347), tc_HOL_Obool)), _u12348), _u12349)) )).
% 12.54/12.79 cnf(matrix-5879, plain, ( ~c_Wellfounded_Owf(_u12350, _u12351) | c_Wellfounded_Owf(_u12350, c_Wellfounded_Omlex__prod(_u12350, _u12352, _u12351)) )).
% 12.54/12.79 cnf(matrix-5880, plain, ( c_Wellfounded_Owf(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less) )).
% 12.54/12.79 cnf(matrix-5881, plain, ( ~c_Wellfounded_Owf(_u12353, _u12354) | c_Wellfounded_Owf(tc_fun(_u12353, tc_HOL_Obool), c_Wellfounded_Omax__ext(_u12353, _u12354)) )).
% 12.54/12.79 cnf(matrix-5882, plain, ( c_Wellfounded_Owf(tc_Nat_Onat, hAPP(c_Set_OCollect(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)))) )).
% 12.54/12.79 cnf(matrix-5883, plain, ( ~c_Wellfounded_Owf(_u12355, _u12356) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12355, _u12355)), hAPP(hAPP(c_Product__Type_OPair(_u12355, _u12355), _u12357), _u12357)), _u12356)) )).
% 12.54/12.79 cnf(matrix-5884, plain, ( ~c_Wellfounded_Owf(_u12358, _u12359) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12358, _u12358)), hAPP(hAPP(c_Product__Type_OPair(_u12358, _u12358), _u12360), _u12361)), _u12359)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12358, _u12358)), hAPP(hAPP(c_Product__Type_OPair(_u12358, _u12358), _u12361), _u12360)), _u12359)) )).
% 12.54/12.79 cnf(matrix-5885, plain, ( ~c_Wellfounded_Owf(_u12362, _u12363) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12362, _u12362)), hAPP(hAPP(c_Product__Type_OPair(_u12362, _u12362), _u12364), _u12365)), _u12363)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12362, _u12362)), hAPP(hAPP(c_Product__Type_OPair(_u12362, _u12362), _u12365), _u12364)), _u12363)) )).
% 12.54/12.79 cnf(matrix-5886, plain, ( ~c_Wellfounded_Owf(_u12366, _u12367) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12366, _u12366)), hAPP(hAPP(c_Product__Type_OPair(_u12366, _u12366), _u12368), _u12368)), _u12367)) )).
% 12.54/12.79 cnf(matrix-5887, plain, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than(_u12369)) )).
% 12.54/12.79 cnf(matrix-5888, plain, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than2(_u12370)) )).
% 12.54/12.79 cnf(matrix-5889, plain, ( ~c_Wellfounded_Owf(_u12371, _u12372) | hBOOL(hAPP(hAPP(c_member(_u12371), _u12373), c_Wellfounded_Oacc(_u12371, _u12372))) )).
% 12.54/12.79 cnf(matrix-5890, plain, ( ~c_Wellfounded_Owf(_u12378, _u12380) | hBOOL(hAPP(hAPP(c_member(_u12378), _u12374), c_Wellfounded_Oacc(_u12378, _u12380))) )).
% 12.54/12.79 cnf(matrix-5891, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12379), skolem318(_u12381, _u12379)), c_Wellfounded_Oacc(_u12379, _u12381))) | c_Wellfounded_Owf(_u12379, _u12381) )).
% 12.54/12.79 cnf(matrix-5892, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12382, _u12382, _u12382), _u12383), _u12383) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12382, _u12382), tc_HOL_Obool))) | c_Wellfounded_Owf(_u12382, _u12383) )).
% 12.54/12.79 cnf(matrix-5893, plain, ( ~c_Wellfounded_Owf(_u12387, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12387, _u12387), tc_HOL_Obool)), _u12389), _u12391)) | c_Wellfounded_Owf(_u12387, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12387, _u12387), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12387, _u12387), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12387, _u12387, _u12387), _u12389), _u12389)), hAPP(hAPP(c_Relation_Orel__comp(_u12387, _u12387, _u12387), _u12391), _u12389))), _u12391)) )).
% 12.54/12.79 cnf(matrix-5894, plain, ( ~c_Wellfounded_Owf(_u12388, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12388, _u12388), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12388, _u12388), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12388, _u12388, _u12388), _u12390), _u12390)), hAPP(hAPP(c_Relation_Orel__comp(_u12388, _u12388, _u12388), _u12392), _u12390))), _u12392)) | c_Wellfounded_Owf(_u12388, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12388, _u12388), tc_HOL_Obool)), _u12390), _u12392)) )).
% 12.54/12.79 cnf(matrix-5895, plain, ( ~c_Wellfounded_Owf(_u12399, _u12401) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12399, _u12399)), hAPP(hAPP(c_Product__Type_OPair(_u12399, _u12399), hAPP(_u12394, hAPP(c_Nat_OSuc, skolem319(_u12401, _u12399, _u12394)))), hAPP(_u12394, skolem319(_u12401, _u12399, _u12394)))), _u12401)) )).
% 12.54/12.79 cnf(matrix-5896, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u12400, _u12400)), hAPP(hAPP(c_Product__Type_OPair(_u12400, _u12400), hAPP(skolem320(_u12402, _u12400), hAPP(c_Nat_OSuc, _u12395))), hAPP(skolem320(_u12402, _u12400), _u12395))), _u12402)) | c_Wellfounded_Owf(_u12400, _u12402) )).
% 12.54/12.79 cnf(matrix-5897, plain, ( ~c_Wellfounded_Owf(_u12403, _u12404) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12403, tc_HOL_Obool)), _u12405), hAPP(c_Relation_OImage(_u12403, _u12403, _u12404), _u12405))) | ( _u12405 = c_Orderings_Obot__class_Obot(tc_fun(_u12403, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-5898, plain, ( ~c_Wellfounded_Owf(_u12406, _u12407) | ~c_Wellfounded_Owf(_u12406, _u12408) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12406, _u12406), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12406, _u12406, _u12406), _u12407), _u12408)), _u12407)) | c_Wellfounded_Owf(_u12406, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12406, _u12406), tc_HOL_Obool)), _u12407), _u12408)) )).
% 12.54/12.79 cnf(matrix-5899, plain, ( ~class_Orderings_Owellorder(_u12409) | c_Wellfounded_Owf(_u12409, hAPP(c_Set_OCollect(tc_prod(_u12409, _u12409)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12409, _u12409, tc_HOL_Obool), c_Orderings_Oord__class_Oless(_u12409)))) )).
% 12.54/12.79 cnf(matrix-5900, plain, ( ~c_FunDef_Oreduction__pair(_u12412, _u12414) | c_Wellfounded_Owf(_u12412, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12412, _u12412), tc_HOL_Obool), tc_fun(tc_prod(_u12412, _u12412), tc_HOL_Obool)), _u12414)) )).
% 12.54/12.79 cnf(matrix-5901, plain, ( ~c_FunDef_Oreduction__pair(_u12412, _u12414) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12412, _u12412), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12412, _u12412, _u12412), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12412, _u12412), tc_HOL_Obool), tc_fun(tc_prod(_u12412, _u12412), tc_HOL_Obool)), _u12414)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u12412, _u12412), tc_HOL_Obool), tc_fun(tc_prod(_u12412, _u12412), tc_HOL_Obool)), _u12414))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12412, _u12412), tc_HOL_Obool), tc_fun(tc_prod(_u12412, _u12412), tc_HOL_Obool)), _u12414))) )).
% 12.54/12.79 cnf(matrix-5902, plain, ( ~c_Wellfounded_Owf(_u12413, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12413, _u12413), tc_HOL_Obool), tc_fun(tc_prod(_u12413, _u12413), tc_HOL_Obool)), _u12415)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12413, _u12413), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12413, _u12413, _u12413), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12413, _u12413), tc_HOL_Obool), tc_fun(tc_prod(_u12413, _u12413), tc_HOL_Obool)), _u12415)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u12413, _u12413), tc_HOL_Obool), tc_fun(tc_prod(_u12413, _u12413), tc_HOL_Obool)), _u12415))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12413, _u12413), tc_HOL_Obool), tc_fun(tc_prod(_u12413, _u12413), tc_HOL_Obool)), _u12415))) | c_FunDef_Oreduction__pair(_u12413, _u12415) )).
% 12.54/12.79 cnf(matrix-5903, plain, ( ~c_FunDef_Oreduction__pair(_u12416, _u12417) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12416, _u12416), tc_HOL_Obool)), _u12418), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12416, _u12416), tc_HOL_Obool), tc_fun(tc_prod(_u12416, _u12416), tc_HOL_Obool)), _u12417))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12416, _u12416), tc_HOL_Obool)), _u12419), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u12416, _u12416), tc_HOL_Obool), tc_fun(tc_prod(_u12416, _u12416), tc_HOL_Obool)), _u12417))) | ~c_Wellfounded_Owf(_u12416, _u12419) | c_Wellfounded_Owf(_u12416, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12416, _u12416), tc_HOL_Obool)), _u12418), _u12419)) )).
% 12.54/12.79 cnf(matrix-5904, plain, ( ~c_Wellfounded_Owf(_u12420, _u12421) | c_Wellfounded_Owf(tc_List_Olist(_u12420), c_List_Olenlex(_u12420, _u12421)) )).
% 12.54/12.79 cnf(matrix-5905, plain, ( c_Wellfounded_Owf(_u12426, hAPP(c_Set_OCollect(tc_prod(_u12426, _u12426)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12426, _u12426, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u12426, tc_HOL_Obool), tc_fun(_u12426, tc_HOL_Obool), _u12426), hAPP(c_COMBS(_u12426, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12426), c_fconj), _u12423))), hAPP(hAPP(c_COMBC(_u12426, tc_fun(_u12426, _u12426), tc_fun(_u12426, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12426, tc_HOL_Obool), tc_fun(tc_fun(_u12426, _u12426), tc_fun(_u12426, tc_HOL_Obool)), _u12426), c_COMBB(_u12426, tc_HOL_Obool, _u12426)), c_fequal)), _u12425))))) | hBOOL(hAPP(_u12423, skolem321(_u12426, _u12425, _u12424, _u12423))) )).
% 12.54/12.79 cnf(matrix-5906, plain, ( c_Wellfounded_Owf(_u12426, hAPP(c_Set_OCollect(tc_prod(_u12426, _u12426)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12426, _u12426, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u12426, tc_HOL_Obool), tc_fun(_u12426, tc_HOL_Obool), _u12426), hAPP(c_COMBS(_u12426, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12426), c_fconj), _u12423))), hAPP(hAPP(c_COMBC(_u12426, tc_fun(_u12426, _u12426), tc_fun(_u12426, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12426, tc_HOL_Obool), tc_fun(tc_fun(_u12426, _u12426), tc_fun(_u12426, tc_HOL_Obool)), _u12426), c_COMBB(_u12426, tc_HOL_Obool, _u12426)), c_fequal)), _u12425))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u12424, hAPP(_u12425, skolem321(_u12426, _u12425, _u12424, _u12423)))), hAPP(_u12424, skolem321(_u12426, _u12425, _u12424, _u12423)))) )).
% 12.54/12.79 cnf(matrix-5907, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12429), _u12430)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12429), _u12431)) | ( _u12431 = c_Orderings_Obot__class_Obot(tc_fun(_u12429, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12429, tc_HOL_Obool), tc_fun(_u12429, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12429, tc_HOL_Obool), tc_fun(_u12429, tc_HOL_Obool)), _u12430), _u12431)), c_Wellfounded_Omax__ext(_u12429, _u12432))) | hBOOL(hAPP(hAPP(c_member(_u12429), skolem322(_u12432, _u12431, _u12430, _u12429)), _u12430)) )).
% 12.54/12.79 cnf(matrix-5908, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12429), _u12430)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12429), _u12431)) | ( _u12431 = c_Orderings_Obot__class_Obot(tc_fun(_u12429, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12429, tc_HOL_Obool), tc_fun(_u12429, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12429, tc_HOL_Obool), tc_fun(_u12429, tc_HOL_Obool)), _u12430), _u12431)), c_Wellfounded_Omax__ext(_u12429, _u12432))) | ~hBOOL(hAPP(hAPP(c_member(_u12429), _u12427), _u12431)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12429, _u12429)), hAPP(hAPP(c_Product__Type_OPair(_u12429, _u12429), skolem322(_u12432, _u12431, _u12430, _u12429)), _u12427)), _u12432)) )).
% 12.54/12.79 cnf(matrix-5909, plain, ( ( c_Wellfounded_Opred__nat = hAPP(c_Set_OCollect(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_fequal)), c_Nat_OSuc)))) )).
% 12.54/12.79 cnf(matrix-5910, plain, ( ~c_Wellfounded_Owf(_u12433, _u12434) | c_Wellfounded_Owf(tc_List_Olist(_u12433), c_List_Olex(_u12433, _u12434)) )).
% 12.54/12.79 cnf(matrix-5911, plain, ( ~c_Wellfounded_Owf(_u12435, _u12436) | c_Wellfounded_Owf(tc_List_Olist(_u12435), hAPP(c_List_Olexn(_u12435, _u12436), _u12437)) )).
% 12.54/12.79 cnf(matrix-5912, plain, ( ( c_List_Olex(_u12438, _u12439) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(tc_List_Olist(_u12438), tc_List_Olist(_u12438)), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_List_Olexn(_u12438, _u12439))) )).
% 12.54/12.79 cnf(matrix-5913, plain, ( ( hAPP(c_List_Olexn(_u12440, _u12441), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(_u12440), tc_List_Olist(_u12440)), tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-5914, plain, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Opred__nat) )).
% 12.54/12.79 cnf(matrix-5915, plain, ( c_Wellfounded_Owf(tc_prod(_u12446, _u12444), c_Recdef_Osame__fst(_u12446, _u12444, _u12443, _u12445)) | hBOOL(hAPP(_u12443, skolem323(_u12446, _u12445, _u12444, _u12443))) )).
% 12.54/12.79 cnf(matrix-5916, plain, ( c_Wellfounded_Owf(tc_prod(_u12446, _u12444), c_Recdef_Osame__fst(_u12446, _u12444, _u12443, _u12445)) | ~c_Wellfounded_Owf(_u12444, hAPP(_u12445, skolem323(_u12446, _u12445, _u12444, _u12443))) )).
% 12.54/12.79 cnf(matrix-5917, plain, ( ( c_Nitpick_Ozero__frac(_u12447) = c_Nitpick_OAbs__Frac(_u12447, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.54/12.79 cnf(matrix-5918, plain, ( ( _u12449 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u12450, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u12450, _u12451, _u12452, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u12450, tc_HOL_Obool), _u12449)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12450, tc_HOL_Obool)), skolem324(_u12452, _u12451, _u12450, _u12449)), _u12449)) )).
% 12.54/12.79 cnf(matrix-5919, plain, ( ( _u12449 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u12450, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u12450, _u12451, _u12452, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u12450, tc_HOL_Obool), _u12449)) | ~c_Fun_Oinj__on(_u12450, _u12451, _u12452, skolem324(_u12452, _u12451, _u12450, _u12449)) )).
% 12.54/12.79 cnf(matrix-5920, plain, ( ( c_Nitpick_Oone__frac(_u12453) = c_Nitpick_OAbs__Frac(_u12453, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.54/12.79 cnf(matrix-5921, plain, ( ( c_Nitpick_Onumber__of__frac(_u12454, _u12455) = c_Nitpick_OAbs__Frac(_u12454, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u12455), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.54/12.79 cnf(matrix-5922, plain, ( ( hAPP(hAPP(c_Nitpick_Ofrac(_u12456), _u12457), _u12458) = c_Nitpick_OAbs__Frac(_u12456, c_Nitpick_Onorm__frac(_u12457, _u12458))) )).
% 12.54/12.79 cnf(matrix-5923, plain, ( ( hAPP(c_Relation_ORange(_u12459, _u12460), hAPP(c_Set_OCollect(tc_prod(_u12459, _u12460)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12459, _u12460, tc_HOL_Obool), _u12461))) = hAPP(c_Set_OCollect(_u12460), hAPP(hAPP(c_COMBB(tc_fun(_u12459, tc_HOL_Obool), tc_HOL_Obool, _u12460), c_HOL_OEx(_u12459)), hAPP(c_COMBC(_u12459, _u12460, tc_HOL_Obool), _u12461)))) )).
% 12.54/12.79 cnf(matrix-5924, plain, ( ( c_Set_Othe__elem(_u12462, _u12463) = c_HOL_OThe(_u12462, hAPP(hAPP(c_COMBB(tc_fun(_u12462, tc_HOL_Obool), tc_HOL_Obool, _u12462), hAPP(c_fequal, _u12463)), hAPP(hAPP(c_COMBC(_u12462, tc_fun(_u12462, tc_HOL_Obool), tc_fun(_u12462, tc_HOL_Obool)), c_Set_Oinsert(_u12462)), c_Orderings_Obot__class_Obot(tc_fun(_u12462, tc_HOL_Obool)))))) )).
% 12.54/12.79 cnf(matrix-5925, plain, ( ~c_Wellfounded_OwfP(_u12466, _u12468) | c_Wellfounded_Owf(_u12466, hAPP(c_Set_OCollect(tc_prod(_u12466, _u12466)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12466, _u12466, tc_HOL_Obool), _u12468))) )).
% 12.54/12.79 cnf(matrix-5926, plain, ( ~c_Wellfounded_Owf(_u12467, hAPP(c_Set_OCollect(tc_prod(_u12467, _u12467)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12467, _u12467, tc_HOL_Obool), _u12469))) | c_Wellfounded_OwfP(_u12467, _u12469) )).
% 12.54/12.79 cnf(matrix-5927, plain, ( c_Wellfounded_OwfP(_u12470, hAPP(c_COMBK(tc_fun(_u12470, tc_HOL_Obool), _u12470), hAPP(c_COMBK(tc_HOL_Obool, _u12470), c_fFalse))) )).
% 12.54/12.79 cnf(matrix-5928, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12471, _u12472)), hAPP(hAPP(c_Product__Type_OPair(_u12471, _u12472), _u12473), _u12474)), _u12475)) | hBOOL(hAPP(hAPP(c_member(_u12472), _u12474), hAPP(c_Relation_ORange(_u12471, _u12472), _u12475))) )).
% 12.54/12.79 cnf(matrix-5929, plain, ( ~c_Wellfounded_OwfP(_u12480, _u12482) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u12480, _u12482), _u12476)) )).
% 12.54/12.79 cnf(matrix-5930, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u12481, _u12483), skolem325(_u12483, _u12481))) | c_Wellfounded_OwfP(_u12481, _u12483) )).
% 12.54/12.79 cnf(matrix-5931, plain, ( ~c_Wellfounded_OwfP(_u12484, _u12485) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u12484, _u12485), _u12486)) )).
% 12.54/12.79 cnf(matrix-5932, plain, ( ( c_HOL_OThe(_u12487, hAPP(hAPP(c_COMBC(_u12487, _u12487, tc_HOL_Obool), c_fequal), _u12488)) = _u12488) )).
% 12.54/12.79 cnf(matrix-5933, plain, ( ( c_HOL_OThe(_u12489, hAPP(c_fequal, _u12490)) = _u12490) )).
% 12.54/12.79 cnf(matrix-5934, plain, ( ( hAPP(c_Relation_ORange(_u12491, _u12491), c_Relation_OId__on(_u12491, _u12492)) = _u12492) )).
% 12.54/12.79 cnf(matrix-5935, plain, ( ~c_Wellfounded_OwfP(_u12493, _u12494) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12493, tc_fun(_u12493, tc_HOL_Obool))), _u12495), _u12494)) | c_Wellfounded_OwfP(_u12493, _u12495) )).
% 12.54/12.79 cnf(matrix-5936, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12496, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12496, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12497, _u12496), _u12498)), hAPP(c_Relation_ORange(_u12497, _u12496), _u12499))), hAPP(c_Relation_ORange(_u12497, _u12496), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12497, _u12496), tc_HOL_Obool)), _u12498), _u12499)))) )).
% 12.54/12.79 cnf(matrix-5937, plain, ( ( hAPP(c_Relation_ORange(_u12500, _u12501), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u12500, _u12501), tc_HOL_Obool), _u12502)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u12500, _u12501), tc_HOL_Obool), tc_fun(_u12501, tc_HOL_Obool)), _u12502), c_Relation_ORange(_u12500, _u12501))) )).
% 12.54/12.79 cnf(matrix-5938, plain, ( ( hAPP(c_Relation_ORange(_u12503, _u12504), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12503, _u12504), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12504, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-5939, plain, ( ( hAPP(c_Relation_ORange(_u12508, _u12510), _u12512) != c_Orderings_Obot__class_Obot(tc_fun(_u12510, tc_HOL_Obool))) | ( _u12512 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12508, _u12510), tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-5940, plain, ( ( _u12513 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12509, _u12511), tc_HOL_Obool))) | ( hAPP(c_Relation_ORange(_u12509, _u12511), _u12513) = c_Orderings_Obot__class_Obot(tc_fun(_u12511, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-5941, plain, ( ( hAPP(c_Relation_ORange(_u12514, _u12515), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12514, _u12515), tc_HOL_Obool)), _u12516), _u12517)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12515, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12514, _u12515), _u12516)), hAPP(c_Relation_ORange(_u12514, _u12515), _u12517))) )).
% 12.54/12.79 cnf(matrix-5942, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12518, _u12519)), _u12520)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12519), hAPP(c_Relation_ORange(_u12518, _u12519), _u12520))) )).
% 12.54/12.79 cnf(matrix-5943, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u12521, _u12522), _u12522, c_Product__Type_Osnd(_u12521, _u12522)), _u12523) = hAPP(c_Relation_ORange(_u12521, _u12522), _u12523)) )).
% 12.54/12.79 cnf(matrix-5944, plain, ( ( c_HOL_OThe(tc_prod(_u12524, _u12525), _u12526) = c_HOL_OThe(tc_prod(_u12524, _u12525), hAPP(c_Product__Type_Oprod_Oprod__case(_u12524, _u12525, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u12525, tc_prod(_u12524, _u12525)), tc_fun(_u12525, tc_HOL_Obool), _u12524), hAPP(c_COMBB(tc_prod(_u12524, _u12525), tc_HOL_Obool, _u12525), _u12526)), c_Product__Type_OPair(_u12524, _u12525))))) )).
% 12.54/12.79 cnf(matrix-5945, plain, ( ( c_HOL_OThe(tc_prod(_u12527, _u12528), hAPP(c_Product__Type_Oprod_Oprod__case(_u12527, _u12528, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12527, tc_fun(_u12528, tc_HOL_Obool), tc_fun(_u12528, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12528, tc_HOL_Obool), tc_fun(_u12528, tc_HOL_Obool)), _u12527), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12528)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12527), c_fconj), hAPP(c_fequal, _u12529)))), hAPP(c_fequal, _u12530)))) = hAPP(hAPP(c_Product__Type_OPair(_u12527, _u12528), _u12529), _u12530)) )).
% 12.54/12.79 cnf(matrix-5946, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12537), _u12539), hAPP(c_Relation_ORange(_u12541, _u12537), _u12543))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12541, _u12537)), hAPP(hAPP(c_Product__Type_OPair(_u12541, _u12537), skolem326(_u12543, _u12541, _u12539, _u12537)), _u12539)), _u12543)) )).
% 12.54/12.79 cnf(matrix-5947, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12542, _u12538)), hAPP(hAPP(c_Product__Type_OPair(_u12542, _u12538), _u12532), _u12540)), _u12544)) | hBOOL(hAPP(hAPP(c_member(_u12538), _u12540), hAPP(c_Relation_ORange(_u12542, _u12538), _u12544))) )).
% 12.54/12.79 cnf(matrix-5948, plain, ( ( hAPP(c_Fun_Othe__inv__into(_u12545, _u12546, _u12547, _u12548), _u12549) = c_HOL_OThe(_u12545, hAPP(hAPP(c_COMBS(_u12545, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12545), c_fconj), hAPP(hAPP(c_COMBC(_u12545, tc_fun(_u12545, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12545)), _u12547))), hAPP(hAPP(c_COMBC(_u12545, _u12546, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u12546, tc_fun(_u12546, tc_HOL_Obool), _u12545), c_fequal), _u12548)), _u12549)))) )).
% 12.54/12.79 cnf(matrix-5949, plain, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u12550, _u12551, _u12552), _u12553), _u12554) = c_HOL_OThe(_u12551, c_Finite__Set_Ofold__graph(_u12550, _u12551, _u12552, _u12553, _u12554))) )).
% 12.54/12.79 cnf(matrix-5950, plain, ( ( hAPP(c_Relation_ORange(_u12555, _u12556), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u12555, _u12556)), hAPP(hAPP(c_Product__Type_OPair(_u12555, _u12556), _u12557), _u12558)), _u12559)) = hAPP(hAPP(c_Set_Oinsert(_u12556), _u12558), hAPP(c_Relation_ORange(_u12555, _u12556), _u12559))) )).
% 12.54/12.79 cnf(matrix-5951, plain, ( ( c_Divides_Odivmod__nat(_u12560, _u12561) = c_HOL_OThe(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat__rel(_u12560, _u12561))) )).
% 12.54/12.79 cnf(matrix-5952, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12562, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12563, _u12562), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12563, _u12562), tc_HOL_Obool)), _u12564), _u12565))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12562, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12563, _u12562), _u12564)), hAPP(c_Relation_ORange(_u12563, _u12562), _u12565)))) )).
% 12.54/12.79 cnf(matrix-5953, plain, ( ( hAPP(c_Finite__Set_Ofold1(_u12566, _u12567), _u12568) = c_HOL_OThe(_u12566, c_Finite__Set_Ofold1Set(_u12566, _u12567, _u12568))) )).
% 12.54/12.79 cnf(matrix-5954, plain, ( ( c_HOL_OThe(tc_prod(_u12569, _u12570), hAPP(c_Product__Type_Oprod_Oprod__case(_u12569, _u12570, tc_HOL_Obool), _u12571)) = c_HOL_OThe(tc_prod(_u12569, _u12570), hAPP(hAPP(c_COMBS(tc_prod(_u12569, _u12570), _u12570, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u12569, tc_fun(_u12570, tc_HOL_Obool), tc_prod(_u12569, _u12570)), _u12571), c_Product__Type_Ofst(_u12569, _u12570))), c_Product__Type_Osnd(_u12569, _u12570)))) )).
% 12.54/12.79 cnf(matrix-5955, plain, ( ~c_Wellfounded_Owf(_u12572, _u12573) | c_Wellfounded_OwfP(_u12572, c_FunDef_Oin__rel(_u12572, _u12572, _u12573)) )).
% 12.54/12.79 cnf(matrix-5956, plain, ( ~c_Wellfounded_OwfP(_u12576, hAPP(hAPP(c_COMBC(_u12576, tc_fun(tc_prod(_u12576, _u12576), tc_HOL_Obool), tc_fun(_u12576, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12576, tc_fun(tc_fun(tc_prod(_u12576, _u12576), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12576, _u12576), tc_HOL_Obool), tc_fun(_u12576, tc_HOL_Obool)), _u12576), c_COMBC(_u12576, tc_fun(tc_prod(_u12576, _u12576), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12576, tc_prod(_u12576, _u12576)), tc_fun(_u12576, tc_fun(tc_fun(tc_prod(_u12576, _u12576), tc_HOL_Obool), tc_HOL_Obool)), _u12576), hAPP(c_COMBB(tc_prod(_u12576, _u12576), tc_fun(tc_fun(tc_prod(_u12576, _u12576), tc_HOL_Obool), tc_HOL_Obool), _u12576), c_member(tc_prod(_u12576, _u12576)))), c_Product__Type_OPair(_u12576, _u12576)))), _u12578)) | c_Wellfounded_Owf(_u12576, _u12578) )).
% 12.54/12.79 cnf(matrix-5957, plain, ( ~c_Wellfounded_Owf(_u12577, _u12579) | c_Wellfounded_OwfP(_u12577, hAPP(hAPP(c_COMBC(_u12577, tc_fun(tc_prod(_u12577, _u12577), tc_HOL_Obool), tc_fun(_u12577, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12577, tc_fun(tc_fun(tc_prod(_u12577, _u12577), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12577, _u12577), tc_HOL_Obool), tc_fun(_u12577, tc_HOL_Obool)), _u12577), c_COMBC(_u12577, tc_fun(tc_prod(_u12577, _u12577), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12577, tc_prod(_u12577, _u12577)), tc_fun(_u12577, tc_fun(tc_fun(tc_prod(_u12577, _u12577), tc_HOL_Obool), tc_HOL_Obool)), _u12577), hAPP(c_COMBB(tc_prod(_u12577, _u12577), tc_fun(tc_fun(tc_prod(_u12577, _u12577), tc_HOL_Obool), tc_HOL_Obool), _u12577), c_member(tc_prod(_u12577, _u12577)))), c_Product__Type_OPair(_u12577, _u12577)))), _u12579)) )).
% 12.54/12.79 cnf(matrix-5958, plain, ( ~hBOOL(hAPP(c_Predicate_ORangeP(_u12584, _u12586, hAPP(hAPP(c_COMBC(_u12584, tc_fun(tc_prod(_u12584, _u12586), tc_HOL_Obool), tc_fun(_u12586, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12586, tc_fun(tc_fun(tc_prod(_u12584, _u12586), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12584, _u12586), tc_HOL_Obool), tc_fun(_u12586, tc_HOL_Obool)), _u12584), c_COMBC(_u12586, tc_fun(tc_prod(_u12584, _u12586), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12586, tc_prod(_u12584, _u12586)), tc_fun(_u12586, tc_fun(tc_fun(tc_prod(_u12584, _u12586), tc_HOL_Obool), tc_HOL_Obool)), _u12584), hAPP(c_COMBB(tc_prod(_u12584, _u12586), tc_fun(tc_fun(tc_prod(_u12584, _u12586), tc_HOL_Obool), tc_HOL_Obool), _u12586), c_member(tc_prod(_u12584, _u12586)))), c_Product__Type_OPair(_u12584, _u12586)))), _u12588)), _u12590)) | hBOOL(hAPP(hAPP(c_member(_u12586), _u12590), hAPP(c_Relation_ORange(_u12584, _u12586), _u12588))) )).
% 12.54/12.79 cnf(matrix-5959, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12587), _u12591), hAPP(c_Relation_ORange(_u12585, _u12587), _u12589))) | hBOOL(hAPP(c_Predicate_ORangeP(_u12585, _u12587, hAPP(hAPP(c_COMBC(_u12585, tc_fun(tc_prod(_u12585, _u12587), tc_HOL_Obool), tc_fun(_u12587, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12587, tc_fun(tc_fun(tc_prod(_u12585, _u12587), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12585, _u12587), tc_HOL_Obool), tc_fun(_u12587, tc_HOL_Obool)), _u12585), c_COMBC(_u12587, tc_fun(tc_prod(_u12585, _u12587), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12587, tc_prod(_u12585, _u12587)), tc_fun(_u12587, tc_fun(tc_fun(tc_prod(_u12585, _u12587), tc_HOL_Obool), tc_HOL_Obool)), _u12585), hAPP(c_COMBB(tc_prod(_u12585, _u12587), tc_fun(tc_fun(tc_prod(_u12585, _u12587), tc_HOL_Obool), tc_HOL_Obool), _u12587), c_member(tc_prod(_u12585, _u12587)))), c_Product__Type_OPair(_u12585, _u12587)))), _u12589)), _u12591)) )).
% 12.54/12.79 cnf(matrix-5960, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12595, tc_HOL_Obool)), _u12597), hAPP(hAPP(c_Set_Oinsert(_u12595), _u12599), c_Orderings_Obot__class_Obot(tc_fun(_u12595, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u12595, _u12599, _u12597) = _u12599) )).
% 12.54/12.79 cnf(matrix-5961, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12596, tc_HOL_Obool)), _u12598), hAPP(hAPP(c_Set_Oinsert(_u12596), _u12600), c_Orderings_Obot__class_Obot(tc_fun(_u12596, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u12596, _u12600, _u12598) = c_HOL_OThe(_u12596, hAPP(hAPP(c_COMBC(_u12596, tc_fun(_u12596, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12596)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12596, tc_HOL_Obool)), _u12598), hAPP(hAPP(c_Set_Oinsert(_u12596), _u12600), c_Orderings_Obot__class_Obot(tc_fun(_u12596, tc_HOL_Obool))))))) )).
% 12.54/12.79 cnf(matrix-5962, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12602), _u12603), hAPP(c_Relation_ORange(_u12604, _u12602), _u12605))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12604, _u12602)), hAPP(hAPP(c_Product__Type_OPair(_u12604, _u12602), skolem327(_u12605, _u12604, _u12603, _u12602)), _u12603)), _u12605)) )).
% 12.54/12.79 cnf(matrix-5963, plain, ( ~hBOOL(hAPP(hAPP(_u12606, _u12607), _u12608)) | hBOOL(hAPP(c_Predicate_ORangeP(_u12609, _u12610, _u12606), _u12608)) )).
% 12.54/12.79 cnf(matrix-5964, plain, ( hBOOL(hAPP(hAPP(_u12621, skolem328(_u12623, _u12621)), _u12623)) | ~hBOOL(hAPP(c_Predicate_ORangeP(_u12617, _u12619, _u12621), _u12623)) )).
% 12.54/12.79 cnf(matrix-5965, plain, ( ~hBOOL(hAPP(hAPP(_u12622, _u12612), _u12624)) | hBOOL(hAPP(c_Predicate_ORangeP(_u12618, _u12620, _u12622), _u12624)) )).
% 12.54/12.79 cnf(matrix-5966, plain, ( ~c_Fun_Oinj__on(_u12625, _u12626, _u12627, c_Orderings_Otop__class_Otop(tc_fun(_u12625, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12625, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12625, _u12626, _u12627), hAPP(hAPP(c_Set_Oinsert(_u12626), _u12628), c_Orderings_Obot__class_Obot(tc_fun(_u12626, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u12625), c_HOL_OThe(_u12625, hAPP(hAPP(c_COMBC(_u12625, _u12626, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u12626, tc_fun(_u12626, tc_HOL_Obool), _u12625), c_fequal), _u12627)), _u12628))), c_Orderings_Obot__class_Obot(tc_fun(_u12625, tc_HOL_Obool))))) )).
% 12.54/12.79 cnf(matrix-5967, plain, ( ~c_Wellfounded_OwfP(_u12629, _u12630) | c_Wellfounded_Oacyclic(_u12629, hAPP(c_Set_OCollect(tc_prod(_u12629, _u12629)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12629, _u12629, tc_HOL_Obool), _u12630))) )).
% 12.54/12.79 cnf(matrix-5968, plain, ( ~c_Wellfounded_Owf(_u12631, _u12632) | ~c_Wellfounded_Owf(_u12631, _u12633) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12631, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12631, _u12631), _u12632)), hAPP(c_Relation_ORange(_u12631, _u12631), _u12633)) != c_Orderings_Obot__class_Obot(tc_fun(_u12631, tc_HOL_Obool))) | c_Wellfounded_Owf(_u12631, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12631, _u12631), tc_HOL_Obool)), _u12632), _u12633)) )).
% 12.54/12.79 cnf(matrix-5969, plain, ( ( hAPP(_u12634, _u12635) != _u12636) | ~hBOOL(hAPP(hAPP(c_member(_u12637), _u12636), _u12638)) | hBOOL(hAPP(hAPP(c_member(_u12639), _u12635), hAPP(c_Set_Ovimage(_u12639, _u12637, _u12634), _u12638))) )).
% 12.54/12.79 cnf(matrix-5970, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12640, _u12641)), hAPP(hAPP(c_Product__Type_OPair(_u12640, _u12641), _u12642), _u12643)), _u12644)) | hBOOL(hAPP(hAPP(c_member(_u12640), _u12642), hAPP(c_Relation_ODomain(_u12640, _u12641), _u12644))) )).
% 12.54/12.79 cnf(matrix-5971, plain, ( ( hAPP(c_Set_Ovimage(_u12645, _u12646, _u12647), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12648, tc_fun(_u12646, tc_HOL_Obool)), _u12649), _u12650)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12648, tc_fun(_u12645, tc_HOL_Obool)), _u12649), hAPP(hAPP(c_COMBB(tc_fun(_u12646, tc_HOL_Obool), tc_fun(_u12645, tc_HOL_Obool), _u12648), c_Set_Ovimage(_u12645, _u12646, _u12647)), _u12650))) )).
% 12.54/12.79 cnf(matrix-5972, plain, ( ( hAPP(c_Set_Ovimage(_u12651, _u12652, _u12653), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12652, tc_HOL_Obool)), _u12654), _u12655)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12651, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12651, _u12652, _u12653), _u12654)), hAPP(c_Set_Ovimage(_u12651, _u12652, _u12653), _u12655))) )).
% 12.54/12.79 cnf(matrix-5973, plain, ( ( hAPP(c_Set_Ovimage(_u12656, _u12657, _u12658), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12657, tc_HOL_Obool)), _u12659), _u12660)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12656, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12656, _u12657, _u12658), _u12659)), hAPP(c_Set_Ovimage(_u12656, _u12657, _u12658), _u12660))) )).
% 12.54/12.79 cnf(matrix-5974, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12661, tc_HOL_Obool)), _u12662), _u12663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12664, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12664, _u12661, _u12665), _u12662)), hAPP(c_Set_Ovimage(_u12664, _u12661, _u12665), _u12663))) )).
% 12.54/12.79 cnf(matrix-5975, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12666), hAPP(_u12667, _u12668)), _u12669)) | hBOOL(hAPP(hAPP(c_member(_u12670), _u12668), hAPP(c_Set_Ovimage(_u12670, _u12666, _u12667), _u12669))) )).
% 12.54/12.79 cnf(matrix-5976, plain, ( hBOOL(hAPP(hAPP(c_member(_u12673), hAPP(_u12674, _u12672)), _u12675)) | ~hBOOL(hAPP(hAPP(c_member(_u12671), _u12672), hAPP(c_Set_Ovimage(_u12671, _u12673, _u12674), _u12675))) )).
% 12.54/12.79 cnf(matrix-5977, plain, ( hBOOL(hAPP(hAPP(c_member(_u12685), hAPP(_u12687, _u12683)), _u12689)) | ~hBOOL(hAPP(hAPP(c_member(_u12681), _u12683), hAPP(c_Set_Ovimage(_u12681, _u12685, _u12687), _u12689))) )).
% 12.54/12.79 cnf(matrix-5978, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12686), hAPP(_u12688, _u12684)), _u12690)) | hBOOL(hAPP(hAPP(c_member(_u12682), _u12684), hAPP(c_Set_Ovimage(_u12682, _u12686, _u12688), _u12690))) )).
% 12.54/12.79 cnf(matrix-5979, plain, ( ( hAPP(c_Set_Ovimage(_u12691, _u12691, c_COMBI(_u12691)), _u12692) = _u12692) )).
% 12.54/12.79 cnf(matrix-5980, plain, ( ( hAPP(c_Set_Ovimage(_u12693, _u12694, _u12695), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u12696, tc_fun(_u12694, tc_HOL_Obool)), _u12697), _u12698)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u12696, tc_fun(_u12693, tc_HOL_Obool)), _u12697), hAPP(hAPP(c_COMBB(tc_fun(_u12694, tc_HOL_Obool), tc_fun(_u12693, tc_HOL_Obool), _u12696), c_Set_Ovimage(_u12693, _u12694, _u12695)), _u12698))) )).
% 12.54/12.79 cnf(matrix-5981, plain, ( ( hAPP(c_Set_Ovimage(_u12699, _u12700, _u12701), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12700, tc_HOL_Obool)), _u12702), _u12703)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12699, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12699, _u12700, _u12701), _u12702)), hAPP(c_Set_Ovimage(_u12699, _u12700, _u12701), _u12703))) )).
% 12.54/12.79 cnf(matrix-5982, plain, ( ( hAPP(c_Set_Ovimage(_u12704, _u12705, _u12706), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12705, tc_HOL_Obool)), _u12707)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12704, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12704, _u12705, _u12706), _u12707))) )).
% 12.54/12.79 cnf(matrix-5983, plain, ( hBOOL(hAPP(_u12719, hAPP(_u12717, _u12721))) | ~hBOOL(hAPP(hAPP(c_Set_Ovimage(_u12713, _u12715, _u12717), _u12719), _u12721)) )).
% 12.54/12.79 cnf(matrix-5984, plain, ( ~hBOOL(hAPP(_u12720, hAPP(_u12718, _u12722))) | hBOOL(hAPP(hAPP(c_Set_Ovimage(_u12714, _u12716, _u12718), _u12720), _u12722)) )).
% 12.54/12.79 cnf(matrix-5985, plain, ( ( hAPP(c_Relation_ODomain(_u12723, _u12723), c_Relation_OId__on(_u12723, _u12724)) = _u12724) )).
% 12.54/12.79 cnf(matrix-5986, plain, ( ( hAPP(c_Set_Ovimage(_u12725, _u12726, _u12727), c_Orderings_Otop__class_Otop(tc_fun(_u12726, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u12725, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-5987, plain, ( ~c_Wellfounded_Oacyclic(_u12728, _u12729) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12728, _u12728), tc_HOL_Obool)), _u12730), _u12729)) | c_Wellfounded_Oacyclic(_u12728, _u12730) )).
% 12.54/12.79 cnf(matrix-5988, plain, ( ~c_Wellfounded_Owf(_u12731, _u12732) | c_Wellfounded_Oacyclic(_u12731, _u12732) )).
% 12.54/12.79 cnf(matrix-5989, plain, ( ( hAPP(c_Set_Ovimage(_u12733, _u12734, _u12735), hAPP(c_Set_OCollect(_u12734), _u12736)) = hAPP(c_Set_OCollect(_u12733), hAPP(hAPP(c_COMBB(_u12734, tc_HOL_Obool, _u12733), _u12736), _u12735))) )).
% 12.54/12.79 cnf(matrix-5990, plain, ( ( hAPP(c_Set_Ovimage(_u12737, _u12738, _u12739), c_Orderings_Obot__class_Obot(tc_fun(_u12738, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12737, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-5991, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12740, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12741, _u12740, _u12742), hAPP(c_Set_Ovimage(_u12741, _u12740, _u12742), _u12743))), _u12743)) )).
% 12.54/12.79 cnf(matrix-5992, plain, ( ( hAPP(c_Set_Oimage(_u12744, _u12745, _u12746), c_Orderings_Otop__class_Otop(tc_fun(_u12744, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u12745, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u12744, _u12745, _u12746), hAPP(c_Set_Ovimage(_u12744, _u12745, _u12746), _u12747)) = _u12747) )).
% 12.54/12.79 cnf(matrix-5993, plain, ( ( hAPP(c_Set_Ovimage(_u12748, _u12749, _u12750), _u12751) = hAPP(c_Set_OCollect(_u12748), hAPP(hAPP(c_COMBC(_u12748, tc_fun(_u12749, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u12749, tc_fun(tc_fun(_u12749, tc_HOL_Obool), tc_HOL_Obool), _u12748), c_member(_u12749)), _u12750)), _u12751))) )).
% 12.54/12.79 cnf(matrix-5994, plain, ( ( hAPP(c_Relation_ODomain(_u12752, _u12753), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12752, _u12753), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12752, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-5995, plain, ( ( hAPP(c_Relation_ODomain(_u12757, _u12759), _u12761) != c_Orderings_Obot__class_Obot(tc_fun(_u12757, tc_HOL_Obool))) | ( _u12761 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12757, _u12759), tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-5996, plain, ( ( _u12762 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12758, _u12760), tc_HOL_Obool))) | ( hAPP(c_Relation_ODomain(_u12758, _u12760), _u12762) = c_Orderings_Obot__class_Obot(tc_fun(_u12758, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-5997, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12763, _u12764), tc_HOL_Obool)), _u12765), _u12766)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12763, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12763, _u12764), _u12765)), hAPP(c_Relation_ODomain(_u12763, _u12764), _u12766))) )).
% 12.54/12.79 cnf(matrix-5998, plain, ( ( hAPP(c_Relation_ODomain(_u12767, _u12768), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12767, _u12768), tc_HOL_Obool)), _u12769), _u12770)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12767, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12767, _u12768), _u12769)), hAPP(c_Relation_ODomain(_u12767, _u12768), _u12770))) )).
% 12.54/12.79 cnf(matrix-5999, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12771, _u12772)), _u12773)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12771), hAPP(c_Relation_ODomain(_u12771, _u12772), _u12773))) )).
% 12.54/12.79 cnf(matrix-6000, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u12774, _u12775), _u12774, c_Product__Type_Ofst(_u12774, _u12775)), _u12776) = hAPP(c_Relation_ODomain(_u12774, _u12775), _u12776)) )).
% 12.54/12.79 cnf(matrix-6001, plain, ( ( hAPP(c_Set_Ovimage(_u12777, _u12778, _u12779), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u12778, tc_HOL_Obool), _u12780)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u12778, tc_HOL_Obool), tc_fun(_u12777, tc_HOL_Obool)), _u12780), c_Set_Ovimage(_u12777, _u12778, _u12779))) )).
% 12.54/12.79 cnf(matrix-6002, plain, ( ( hAPP(_u12792, _u12788) = _u12794) | ~hBOOL(hAPP(hAPP(c_member(_u12786), _u12788), hAPP(c_Set_Ovimage(_u12786, _u12790, _u12792), hAPP(hAPP(c_Set_Oinsert(_u12790), _u12794), c_Orderings_Obot__class_Obot(tc_fun(_u12790, tc_HOL_Obool)))))) )).
% 12.54/12.79 cnf(matrix-6003, plain, ( ( hAPP(_u12793, _u12789) != _u12795) | hBOOL(hAPP(hAPP(c_member(_u12787), _u12789), hAPP(c_Set_Ovimage(_u12787, _u12791, _u12793), hAPP(hAPP(c_Set_Oinsert(_u12791), _u12795), c_Orderings_Obot__class_Obot(tc_fun(_u12791, tc_HOL_Obool)))))) )).
% 12.54/12.79 cnf(matrix-6004, plain, ( ( hAPP(c_Set_Ovimage(_u12796, _u12797, _u12798), hAPP(hAPP(c_Set_Oinsert(_u12797), _u12799), _u12800)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12796, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12796, _u12797, _u12798), hAPP(hAPP(c_Set_Oinsert(_u12797), _u12799), c_Orderings_Obot__class_Obot(tc_fun(_u12797, tc_HOL_Obool))))), hAPP(c_Set_Ovimage(_u12796, _u12797, _u12798), _u12800))) )).
% 12.54/12.79 cnf(matrix-6005, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12801), hAPP(c_Set_Ovimage(_u12801, _u12802, _u12803), _u12804))) | ( hAPP(c_Set_Oimage(_u12801, _u12802, _u12803), c_Orderings_Otop__class_Otop(tc_fun(_u12801, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u12802, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12802), _u12804)) )).
% 12.54/12.79 cnf(matrix-6006, plain, ( ( hAPP(c_Set_Oimage(_u12805, _u12806, _u12807), c_Orderings_Otop__class_Otop(tc_fun(_u12805, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u12806, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12805, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12805, _u12806, _u12807), _u12808)), _u12809)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12806, tc_HOL_Obool)), _u12808), hAPP(c_Set_Oimage(_u12805, _u12806, _u12807), _u12809))) )).
% 12.54/12.79 cnf(matrix-6007, plain, ( ( hAPP(c_Set_Oimage(_u12810, _u12811, _u12812), hAPP(c_Set_Ovimage(_u12810, _u12811, _u12812), _u12813)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12811, tc_HOL_Obool)), _u12813), hAPP(c_Set_Oimage(_u12810, _u12811, _u12812), c_Orderings_Otop__class_Otop(tc_fun(_u12810, tc_HOL_Obool))))) )).
% 12.54/12.79 cnf(matrix-6008, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12814), _u12815)) | ~c_Fun_Oinj__on(_u12816, _u12814, _u12817, c_Orderings_Otop__class_Otop(tc_fun(_u12816, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12816), hAPP(c_Set_Ovimage(_u12816, _u12814, _u12817), _u12815))) )).
% 12.54/12.79 cnf(matrix-6009, plain, ( ~c_Fun_Oinj__on(_u12818, _u12819, _u12820, c_Orderings_Otop__class_Otop(tc_fun(_u12818, tc_HOL_Obool))) | ( hAPP(c_Set_Ovimage(_u12818, _u12819, _u12820), hAPP(c_Set_Oimage(_u12818, _u12819, _u12820), _u12821)) = _u12821) )).
% 12.54/12.79 cnf(matrix-6010, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12826), _u12828), _u12830)) | ( hAPP(c_Set_Ovimage(_u12832, _u12826, hAPP(c_COMBK(_u12826, _u12832), _u12828)), _u12830) = c_Orderings_Otop__class_Otop(tc_fun(_u12832, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-6011, plain, ( hBOOL(hAPP(hAPP(c_member(_u12827), _u12829), _u12831)) | ( hAPP(c_Set_Ovimage(_u12833, _u12827, hAPP(c_COMBK(_u12827, _u12833), _u12829)), _u12831) = c_Orderings_Obot__class_Obot(tc_fun(_u12833, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-6012, plain, ( ( hAPP(c_Set_Ovimage(_u12834, _u12835, _u12836), _u12837) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12835, tc_fun(_u12834, tc_HOL_Obool)), _u12837), hAPP(hAPP(c_COMBB(tc_fun(_u12835, tc_HOL_Obool), tc_fun(_u12834, tc_HOL_Obool), _u12835), c_Set_Ovimage(_u12834, _u12835, _u12836)), hAPP(hAPP(c_COMBC(_u12835, tc_fun(_u12835, tc_HOL_Obool), tc_fun(_u12835, tc_HOL_Obool)), c_Set_Oinsert(_u12835)), c_Orderings_Obot__class_Obot(tc_fun(_u12835, tc_HOL_Obool)))))) )).
% 12.54/12.79 cnf(matrix-6013, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12844), _u12846), hAPP(c_Relation_ODomain(_u12844, _u12848), _u12850))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12844, _u12848)), hAPP(hAPP(c_Product__Type_OPair(_u12844, _u12848), _u12846), skolem329(_u12850, _u12848, _u12846, _u12844))), _u12850)) )).
% 12.54/12.79 cnf(matrix-6014, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12845, _u12849)), hAPP(hAPP(c_Product__Type_OPair(_u12845, _u12849), _u12847), _u12839)), _u12851)) | hBOOL(hAPP(hAPP(c_member(_u12845), _u12847), hAPP(c_Relation_ODomain(_u12845, _u12849), _u12851))) )).
% 12.54/12.79 cnf(matrix-6015, plain, ( ( hAPP(c_Relation_ODomain(_u12852, _u12853), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u12852, _u12853)), hAPP(hAPP(c_Product__Type_OPair(_u12852, _u12853), _u12854), _u12855)), _u12856)) = hAPP(hAPP(c_Set_Oinsert(_u12852), _u12854), hAPP(c_Relation_ODomain(_u12852, _u12853), _u12856))) )).
% 12.54/12.79 cnf(matrix-6016, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12857, _u12857)), _u12858)) | ~c_Wellfounded_Owf(_u12857, _u12858) | c_Wellfounded_Oacyclic(_u12857, _u12858) )).
% 12.54/12.79 cnf(matrix-6017, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12857, _u12857)), _u12858)) | ~c_Wellfounded_Oacyclic(_u12857, _u12858) | c_Wellfounded_Owf(_u12857, _u12858) )).
% 12.54/12.79 cnf(matrix-6018, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12859, _u12859)), _u12860)) | ~c_Wellfounded_Oacyclic(_u12859, _u12860) | c_Wellfounded_Owf(_u12859, _u12860) )).
% 12.54/12.79 cnf(matrix-6019, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12861, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12861, _u12862), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12861, _u12862), tc_HOL_Obool)), _u12863), _u12864))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12861, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12861, _u12862), _u12863)), hAPP(c_Relation_ODomain(_u12861, _u12862), _u12864)))) )).
% 12.54/12.79 cnf(matrix-6020, plain, ( ~c_Fun_Oinj__on(_u12865, _u12866, _u12867, c_Orderings_Otop__class_Otop(tc_fun(_u12865, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12866, tc_HOL_Obool)), _u12868), hAPP(c_Set_Oimage(_u12865, _u12866, _u12867), _u12869))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12865, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u12865, _u12866, _u12867), _u12868)), _u12869)) )).
% 12.54/12.79 cnf(matrix-6021, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12870, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12870, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12870, _u12871), _u12872)), hAPP(c_Relation_ODomain(_u12870, _u12871), _u12873))), hAPP(c_Relation_ODomain(_u12870, _u12871), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12870, _u12871), tc_HOL_Obool)), _u12872), _u12873)))) )).
% 12.54/12.79 cnf(matrix-6022, plain, ( ( hAPP(c_Relation_OField(_u12874), _u12875) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12874, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12874, _u12874), _u12875)), hAPP(c_Relation_ORange(_u12874, _u12874), _u12875))) )).
% 12.54/12.79 cnf(matrix-6023, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12882), _u12884), _u12886)) | ~hBOOL(hAPP(hAPP(c_member(_u12882), _u12888), _u12886)) | ( hAPP(c_Set_Ovimage(_u12890, _u12882, hAPP(hAPP(c_COMBC(_u12890, _u12882, _u12882), hAPP(hAPP(c_COMBC(_u12890, _u12882, tc_fun(_u12882, _u12882)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12882, tc_fun(_u12882, _u12882)), _u12890), c_If(_u12882)), hAPP(hAPP(c_COMBC(_u12890, tc_fun(_u12890, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12890)), _u12892))), _u12884)), _u12888)), _u12886) = c_Orderings_Otop__class_Otop(tc_fun(_u12890, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-6024, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12882), _u12884), _u12886)) | hBOOL(hAPP(hAPP(c_member(_u12882), _u12888), _u12886)) | ( hAPP(c_Set_Ovimage(_u12890, _u12882, hAPP(hAPP(c_COMBC(_u12890, _u12882, _u12882), hAPP(hAPP(c_COMBC(_u12890, _u12882, tc_fun(_u12882, _u12882)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12882, tc_fun(_u12882, _u12882)), _u12890), c_If(_u12882)), hAPP(hAPP(c_COMBC(_u12890, tc_fun(_u12890, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12890)), _u12892))), _u12884)), _u12888)), _u12886) = _u12892) )).
% 12.54/12.79 cnf(matrix-6025, plain, ( hBOOL(hAPP(hAPP(c_member(_u12883), _u12885), _u12887)) | ~hBOOL(hAPP(hAPP(c_member(_u12883), _u12889), _u12887)) | ( hAPP(c_Set_Ovimage(_u12891, _u12883, hAPP(hAPP(c_COMBC(_u12891, _u12883, _u12883), hAPP(hAPP(c_COMBC(_u12891, _u12883, tc_fun(_u12883, _u12883)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12883, tc_fun(_u12883, _u12883)), _u12891), c_If(_u12883)), hAPP(hAPP(c_COMBC(_u12891, tc_fun(_u12891, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12891)), _u12893))), _u12885)), _u12889)), _u12887) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12891, tc_HOL_Obool)), _u12893)) )).
% 12.54/12.79 cnf(matrix-6026, plain, ( hBOOL(hAPP(hAPP(c_member(_u12883), _u12885), _u12887)) | hBOOL(hAPP(hAPP(c_member(_u12883), _u12889), _u12887)) | ( hAPP(c_Set_Ovimage(_u12891, _u12883, hAPP(hAPP(c_COMBC(_u12891, _u12883, _u12883), hAPP(hAPP(c_COMBC(_u12891, _u12883, tc_fun(_u12883, _u12883)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12883, tc_fun(_u12883, _u12883)), _u12891), c_If(_u12883)), hAPP(hAPP(c_COMBC(_u12891, tc_fun(_u12891, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12891)), _u12893))), _u12885)), _u12889)), _u12887) = c_Orderings_Obot__class_Obot(tc_fun(_u12891, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-6027, plain, ( ( hAPP(c_Relation_ODomain(_u12894, _u12895), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u12894, _u12895), tc_HOL_Obool), _u12896)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u12894, _u12895), tc_HOL_Obool), tc_fun(_u12894, tc_HOL_Obool)), _u12896), c_Relation_ODomain(_u12894, _u12895))) )).
% 12.54/12.79 cnf(matrix-6028, plain, ( ( hAPP(c_Relation_ODomain(_u12897, _u12898), hAPP(c_Set_OCollect(tc_prod(_u12897, _u12898)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12897, _u12898, tc_HOL_Obool), _u12899))) = hAPP(c_Set_OCollect(_u12897), hAPP(hAPP(c_COMBB(tc_fun(_u12898, tc_HOL_Obool), tc_HOL_Obool, _u12897), c_HOL_OEx(_u12898)), _u12899))) )).
% 12.54/12.79 cnf(matrix-6029, plain, ( ~hBOOL(hAPP(c_Predicate_ODomainP(_u12904, _u12906, hAPP(hAPP(c_COMBC(_u12904, tc_fun(tc_prod(_u12904, _u12906), tc_HOL_Obool), tc_fun(_u12906, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12906, tc_fun(tc_fun(tc_prod(_u12904, _u12906), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12904, _u12906), tc_HOL_Obool), tc_fun(_u12906, tc_HOL_Obool)), _u12904), c_COMBC(_u12906, tc_fun(tc_prod(_u12904, _u12906), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12906, tc_prod(_u12904, _u12906)), tc_fun(_u12906, tc_fun(tc_fun(tc_prod(_u12904, _u12906), tc_HOL_Obool), tc_HOL_Obool)), _u12904), hAPP(c_COMBB(tc_prod(_u12904, _u12906), tc_fun(tc_fun(tc_prod(_u12904, _u12906), tc_HOL_Obool), tc_HOL_Obool), _u12906), c_member(tc_prod(_u12904, _u12906)))), c_Product__Type_OPair(_u12904, _u12906)))), _u12908)), _u12910)) | hBOOL(hAPP(hAPP(c_member(_u12904), _u12910), hAPP(c_Relation_ODomain(_u12904, _u12906), _u12908))) )).
% 12.54/12.79 cnf(matrix-6030, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12905), _u12911), hAPP(c_Relation_ODomain(_u12905, _u12907), _u12909))) | hBOOL(hAPP(c_Predicate_ODomainP(_u12905, _u12907, hAPP(hAPP(c_COMBC(_u12905, tc_fun(tc_prod(_u12905, _u12907), tc_HOL_Obool), tc_fun(_u12907, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12907, tc_fun(tc_fun(tc_prod(_u12905, _u12907), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12905, _u12907), tc_HOL_Obool), tc_fun(_u12907, tc_HOL_Obool)), _u12905), c_COMBC(_u12907, tc_fun(tc_prod(_u12905, _u12907), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12907, tc_prod(_u12905, _u12907)), tc_fun(_u12907, tc_fun(tc_fun(tc_prod(_u12905, _u12907), tc_HOL_Obool), tc_HOL_Obool)), _u12905), hAPP(c_COMBB(tc_prod(_u12905, _u12907), tc_fun(tc_fun(tc_prod(_u12905, _u12907), tc_HOL_Obool), tc_HOL_Obool), _u12907), c_member(tc_prod(_u12905, _u12907)))), c_Product__Type_OPair(_u12905, _u12907)))), _u12909)), _u12911)) )).
% 12.54/12.79 cnf(matrix-6031, plain, ( ~c_Nitpick_Owf_H(_u12914, _u12916) | c_Wellfounded_Oacyclic(_u12914, _u12916) )).
% 12.54/12.79 cnf(matrix-6032, plain, ( ~c_Nitpick_Owf_H(_u12914, _u12916) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12914, _u12914)), _u12916)) | c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 12.54/12.79 cnf(matrix-6033, plain, ( c_Nitpick_Owf_H(_u12915, _u12917) | ~c_Wellfounded_Oacyclic(_u12915, _u12917) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12915, _u12915)), _u12917)) )).
% 12.54/12.79 cnf(matrix-6034, plain, ( c_Nitpick_Owf_H(_u12915, _u12917) | ~c_Wellfounded_Oacyclic(_u12915, _u12917) | ~c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 12.54/12.79 cnf(matrix-6035, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12919), _u12920), hAPP(c_Relation_ODomain(_u12919, _u12921), _u12922))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12919, _u12921)), hAPP(hAPP(c_Product__Type_OPair(_u12919, _u12921), _u12920), skolem330(_u12922, _u12921, _u12920, _u12919))), _u12922)) )).
% 12.54/12.79 cnf(matrix-6036, plain, ( ~hBOOL(hAPP(hAPP(_u12923, _u12924), _u12925)) | hBOOL(hAPP(c_Predicate_ODomainP(_u12926, _u12927, _u12923), _u12924)) )).
% 12.54/12.79 cnf(matrix-6037, plain, ( hBOOL(hAPP(hAPP(_u12938, _u12940), skolem331(_u12940, _u12938))) | ~hBOOL(hAPP(c_Predicate_ODomainP(_u12934, _u12936, _u12938), _u12940)) )).
% 12.54/12.79 cnf(matrix-6038, plain, ( ~hBOOL(hAPP(hAPP(_u12939, _u12941), _u12929)) | hBOOL(hAPP(c_Predicate_ODomainP(_u12935, _u12937, _u12939), _u12941)) )).
% 12.54/12.79 cnf(matrix-6039, plain, ( ( hAPP(c_Set_Oimage(_u12942, tc_prod(_u12943, _u12944), hAPP(hAPP(c_COMBS(_u12942, _u12944, tc_prod(_u12943, _u12944)), hAPP(hAPP(c_COMBB(_u12943, tc_fun(_u12944, tc_prod(_u12943, _u12944)), _u12942), c_Product__Type_OPair(_u12943, _u12944)), _u12945)), _u12946)), _u12947) = hAPP(hAPP(c_Product__Type_OSigma(_u12943, _u12944), hAPP(c_Set_Oimage(_u12942, _u12943, _u12945), _u12947)), hAPP(hAPP(c_COMBB(tc_fun(_u12942, tc_HOL_Obool), tc_fun(_u12944, tc_HOL_Obool), _u12943), c_Set_Oimage(_u12942, _u12944, _u12946)), hAPP(hAPP(c_COMBC(_u12943, tc_fun(_u12942, tc_HOL_Obool), tc_fun(_u12942, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12942, tc_HOL_Obool), tc_fun(tc_fun(_u12942, tc_HOL_Obool), tc_fun(_u12942, tc_HOL_Obool)), _u12943), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12942, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12943, tc_HOL_Obool), tc_fun(_u12942, tc_HOL_Obool), _u12943), c_Set_Ovimage(_u12942, _u12943, _u12945)), hAPP(hAPP(c_COMBC(_u12943, tc_fun(_u12943, tc_HOL_Obool), tc_fun(_u12943, tc_HOL_Obool)), c_Set_Oinsert(_u12943)), c_Orderings_Obot__class_Obot(tc_fun(_u12943, tc_HOL_Obool)))))), _u12947)))) )).
% 12.54/12.79 cnf(matrix-6040, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _u12949), c_Int_OInteg)) | ( _u12949 = hAPP(c_Int_ORep__Integ, skolem332(_u12949))) )).
% 12.54/12.79 cnf(matrix-6041, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _u12951), c_Int_OInteg)) | ~hBOOL(hAPP(_u12952, hAPP(c_Int_ORep__Integ, skolem333(_u12952, _u12951)))) | hBOOL(hAPP(_u12952, _u12951)) )).
% 12.54/12.79 cnf(matrix-6042, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12953), _u12954), _u12955)) | ~hBOOL(hAPP(hAPP(c_member(_u12956), _u12957), hAPP(_u12958, _u12954))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12953, _u12956)), hAPP(hAPP(c_Product__Type_OPair(_u12953, _u12956), _u12954), _u12957)), hAPP(hAPP(c_Product__Type_OSigma(_u12953, _u12956), _u12955), _u12958))) )).
% 12.54/12.79 cnf(matrix-6043, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12959, _u12960), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u12959, tc_HOL_Obool), _u12961)), _u12962) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u12959, tc_HOL_Obool), tc_fun(tc_prod(_u12959, _u12960), tc_HOL_Obool)), _u12961), hAPP(hAPP(c_COMBC(tc_fun(_u12959, tc_HOL_Obool), tc_fun(_u12959, tc_fun(_u12960, tc_HOL_Obool)), tc_fun(tc_prod(_u12959, _u12960), tc_HOL_Obool)), c_Product__Type_OSigma(_u12959, _u12960)), _u12962))) )).
% 12.54/12.79 cnf(matrix-6044, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12963), _u12964), _u12965)) | ( hAPP(hAPP(c_Product__Type_OSigma(_u12966, _u12963), _u12967), hAPP(c_COMBK(tc_fun(_u12963, tc_HOL_Obool), _u12966), _u12965)) != hAPP(hAPP(c_Product__Type_OSigma(_u12966, _u12963), _u12968), hAPP(c_COMBK(tc_fun(_u12963, tc_HOL_Obool), _u12966), _u12965))) | ( _u12967 = _u12968) )).
% 12.54/12.79 cnf(matrix-6045, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12963), _u12964), _u12965)) | ( _u12967 != _u12968) | ( hAPP(hAPP(c_Product__Type_OSigma(_u12966, _u12963), _u12967), hAPP(c_COMBK(tc_fun(_u12963, tc_HOL_Obool), _u12966), _u12965)) = hAPP(hAPP(c_Product__Type_OSigma(_u12966, _u12963), _u12968), hAPP(c_COMBK(tc_fun(_u12963, tc_HOL_Obool), _u12966), _u12965))) )).
% 12.54/12.79 cnf(matrix-6046, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12969, _u12970), c_Orderings_Obot__class_Obot(tc_fun(_u12969, tc_HOL_Obool))), _u12971) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12969, _u12970), tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-6047, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12972, _u12973)), hAPP(hAPP(c_Product__Type_OSigma(_u12972, _u12973), _u12974), hAPP(c_COMBK(tc_fun(_u12973, tc_HOL_Obool), _u12972), _u12975))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12972), _u12974)), hAPP(c_Finite__Set_Ocard(_u12973), _u12975))) )).
% 12.54/12.79 cnf(matrix-6048, plain, ( ~class_Groups_Ocomm__monoid__add(_u12976) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12977, _u12976), hAPP(hAPP(c_COMBC(_u12977, tc_fun(_u12978, tc_HOL_Obool), _u12976), hAPP(hAPP(c_COMBB(tc_fun(_u12978, _u12976), tc_fun(tc_fun(_u12978, tc_HOL_Obool), _u12976), _u12977), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12978, _u12976)), _u12979)), _u12980)), _u12981) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u12977, _u12978), _u12976), hAPP(c_Product__Type_Oprod_Oprod__case(_u12977, _u12978, _u12976), _u12979)), hAPP(hAPP(c_Product__Type_OSigma(_u12977, _u12978), _u12981), hAPP(c_COMBK(tc_fun(_u12978, tc_HOL_Obool), _u12977), _u12980)))) )).
% 12.54/12.79 cnf(matrix-6049, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12982, _u12983), _u12984), hAPP(c_COMBK(tc_fun(_u12983, tc_HOL_Obool), _u12982), c_Orderings_Obot__class_Obot(tc_fun(_u12983, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12982, _u12983), tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-6050, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12989, _u12991), _u12993), hAPP(c_COMBK(tc_fun(_u12991, tc_HOL_Obool), _u12989), _u12995)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12989, _u12991), tc_HOL_Obool))) | ( _u12993 = c_Orderings_Obot__class_Obot(tc_fun(_u12989, tc_HOL_Obool))) | ( _u12995 = c_Orderings_Obot__class_Obot(tc_fun(_u12991, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-6051, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12990, _u12992), _u12994), hAPP(c_COMBK(tc_fun(_u12992, tc_HOL_Obool), _u12990), _u12996)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12990, _u12992), tc_HOL_Obool))) | ( _u12994 != c_Orderings_Obot__class_Obot(tc_fun(_u12990, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-6052, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12990, _u12992), _u12994), hAPP(c_COMBK(tc_fun(_u12992, tc_HOL_Obool), _u12990), _u12996)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12990, _u12992), tc_HOL_Obool))) | ( _u12996 != c_Orderings_Obot__class_Obot(tc_fun(_u12992, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-6053, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u12997, _u12998), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12997, _u12998), _u12999), hAPP(c_COMBK(tc_fun(_u12998, tc_HOL_Obool), _u12997), c_Orderings_Otop__class_Otop(tc_fun(_u12998, tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(_u12997, _u12998), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12997, tc_HOL_Obool)), _u12999)), hAPP(c_COMBK(tc_fun(_u12998, tc_HOL_Obool), _u12997), c_Orderings_Otop__class_Otop(tc_fun(_u12998, tc_HOL_Obool))))) )).
% 12.54/12.79 cnf(matrix-6054, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u13000, _u13001), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13000, _u13001), c_Orderings_Otop__class_Otop(tc_fun(_u13000, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u13001, tc_HOL_Obool), _u13000), _u13002))) = hAPP(hAPP(c_Product__Type_OSigma(_u13000, _u13001), c_Orderings_Otop__class_Otop(tc_fun(_u13000, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u13001, tc_HOL_Obool), _u13000), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13001, tc_HOL_Obool)), _u13002)))) )).
% 12.54/12.79 cnf(matrix-6055, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13003) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13004, _u13003), hAPP(hAPP(c_COMBC(_u13004, tc_fun(_u13005, tc_HOL_Obool), _u13003), hAPP(hAPP(c_COMBB(tc_fun(_u13005, _u13003), tc_fun(tc_fun(_u13005, tc_HOL_Obool), _u13003), _u13004), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13005, _u13003)), _u13006)), _u13007)), _u13008) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13004, _u13005), _u13003), hAPP(c_Product__Type_Oprod_Oprod__case(_u13004, _u13005, _u13003), _u13006)), hAPP(hAPP(c_Product__Type_OSigma(_u13004, _u13005), _u13008), hAPP(c_COMBK(tc_fun(_u13005, tc_HOL_Obool), _u13004), _u13007)))) )).
% 12.54/12.79 cnf(matrix-6056, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13009, _u13010), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13009, tc_HOL_Obool)), _u13011), _u13012)), _u13013) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13009, _u13010), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13009, _u13010), _u13011), _u13013)), hAPP(hAPP(c_Product__Type_OSigma(_u13009, _u13010), _u13012), _u13013))) )).
% 12.54/12.79 cnf(matrix-6057, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13014, _u13015), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13014, tc_HOL_Obool)), _u13016), _u13017)), hAPP(c_COMBK(tc_fun(_u13015, tc_HOL_Obool), _u13014), _u13018)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13014, _u13015), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13014, _u13015), _u13016), hAPP(c_COMBK(tc_fun(_u13015, tc_HOL_Obool), _u13014), _u13018))), hAPP(hAPP(c_Product__Type_OSigma(_u13014, _u13015), _u13017), hAPP(c_COMBK(tc_fun(_u13015, tc_HOL_Obool), _u13014), _u13018)))) )).
% 12.54/12.79 cnf(matrix-6058, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13019, _u13020), _u13021), hAPP(hAPP(c_COMBS(_u13019, tc_fun(_u13020, tc_HOL_Obool), tc_fun(_u13020, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13020, tc_HOL_Obool), tc_fun(tc_fun(_u13020, tc_HOL_Obool), tc_fun(_u13020, tc_HOL_Obool)), _u13019), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13020, tc_HOL_Obool))), _u13022)), _u13023)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13019, _u13020), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13019, _u13020), _u13021), _u13022)), hAPP(hAPP(c_Product__Type_OSigma(_u13019, _u13020), _u13021), _u13023))) )).
% 12.54/12.79 cnf(matrix-6059, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13024, _u13025), tc_HOL_Obool)), _u13026), hAPP(hAPP(c_Product__Type_OSigma(_u13024, _u13025), _u13027), hAPP(c_COMBK(tc_fun(_u13025, tc_HOL_Obool), _u13024), _u13028)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13025, _u13029), tc_HOL_Obool)), _u13030), hAPP(hAPP(c_Product__Type_OSigma(_u13025, _u13029), _u13028), hAPP(c_COMBK(tc_fun(_u13029, tc_HOL_Obool), _u13025), _u13031)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13024, _u13029), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13024, _u13025, _u13029), _u13026), _u13030)), hAPP(hAPP(c_Product__Type_OSigma(_u13024, _u13029), _u13027), hAPP(c_COMBK(tc_fun(_u13029, tc_HOL_Obool), _u13024), _u13031)))) )).
% 12.54/12.79 cnf(matrix-6060, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u13032, _u13033), tc_prod(_u13033, _u13032), hAPP(c_Product__Type_Oprod_Oprod__case(_u13032, _u13033, tc_prod(_u13033, _u13032)), hAPP(c_COMBC(_u13033, _u13032, tc_prod(_u13033, _u13032)), c_Product__Type_OPair(_u13033, _u13032)))), hAPP(hAPP(c_Product__Type_OSigma(_u13032, _u13033), _u13034), hAPP(c_COMBK(tc_fun(_u13033, tc_HOL_Obool), _u13032), _u13035))) = hAPP(hAPP(c_Product__Type_OSigma(_u13033, _u13032), _u13035), hAPP(c_COMBK(tc_fun(_u13032, tc_HOL_Obool), _u13033), _u13034))) )).
% 12.54/12.79 cnf(matrix-6061, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13036), _u13037)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13038), _u13039)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13036, _u13038)), hAPP(hAPP(c_Product__Type_OSigma(_u13036, _u13038), _u13037), hAPP(c_COMBK(tc_fun(_u13038, tc_HOL_Obool), _u13036), _u13039)))) )).
% 12.54/12.79 cnf(matrix-6062, plain, ( ~c_Equiv__Relations_Oequiv(_u13040, _u13041, _u13042) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13040, _u13040), tc_HOL_Obool)), _u13042), hAPP(hAPP(c_Product__Type_OSigma(_u13040, _u13040), _u13041), hAPP(c_COMBK(tc_fun(_u13040, tc_HOL_Obool), _u13040), _u13041)))) )).
% 12.54/12.79 cnf(matrix-6063, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13043, _u13044), _u13045), hAPP(hAPP(c_COMBS(_u13043, tc_fun(_u13044, tc_HOL_Obool), tc_fun(_u13044, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13044, tc_HOL_Obool), tc_fun(tc_fun(_u13044, tc_HOL_Obool), tc_fun(_u13044, tc_HOL_Obool)), _u13043), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13044, tc_HOL_Obool))), _u13046)), _u13047)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13043, _u13044), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13043, _u13044), _u13045), _u13046)), hAPP(hAPP(c_Product__Type_OSigma(_u13043, _u13044), _u13045), _u13047))) )).
% 12.54/12.79 cnf(matrix-6064, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13048, _u13049), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13048, tc_HOL_Obool)), _u13050), _u13051)), hAPP(c_COMBK(tc_fun(_u13049, tc_HOL_Obool), _u13048), _u13052)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13048, _u13049), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13048, _u13049), _u13050), hAPP(c_COMBK(tc_fun(_u13049, tc_HOL_Obool), _u13048), _u13052))), hAPP(hAPP(c_Product__Type_OSigma(_u13048, _u13049), _u13051), hAPP(c_COMBK(tc_fun(_u13049, tc_HOL_Obool), _u13048), _u13052)))) )).
% 12.54/12.79 cnf(matrix-6065, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13053, _u13054), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13053, tc_HOL_Obool)), _u13055), _u13056)), _u13057) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13053, _u13054), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13053, _u13054), _u13055), _u13057)), hAPP(hAPP(c_Product__Type_OSigma(_u13053, _u13054), _u13056), _u13057))) )).
% 12.54/12.79 cnf(matrix-6066, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13058, _u13058), tc_HOL_Obool)), c_Relation_OId__on(_u13058, _u13059)), hAPP(hAPP(c_Product__Type_OSigma(_u13058, _u13058), _u13059), hAPP(c_COMBK(tc_fun(_u13058, tc_HOL_Obool), _u13058), _u13059)))) )).
% 12.54/12.79 cnf(matrix-6067, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13060, _u13061), _u13062), hAPP(hAPP(c_COMBS(_u13060, tc_fun(_u13061, tc_HOL_Obool), tc_fun(_u13061, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13061, tc_HOL_Obool), tc_fun(tc_fun(_u13061, tc_HOL_Obool), tc_fun(_u13061, tc_HOL_Obool)), _u13060), c_Groups_Ominus__class_Ominus(tc_fun(_u13061, tc_HOL_Obool))), _u13063)), _u13064)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13060, _u13061), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13060, _u13061), _u13062), _u13063)), hAPP(hAPP(c_Product__Type_OSigma(_u13060, _u13061), _u13062), _u13064))) )).
% 12.54/12.79 cnf(matrix-6068, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13065, _u13066), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13065, tc_HOL_Obool)), _u13067), _u13068)), hAPP(c_COMBK(tc_fun(_u13066, tc_HOL_Obool), _u13065), _u13069)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13065, _u13066), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13065, _u13066), _u13067), hAPP(c_COMBK(tc_fun(_u13066, tc_HOL_Obool), _u13065), _u13069))), hAPP(hAPP(c_Product__Type_OSigma(_u13065, _u13066), _u13068), hAPP(c_COMBK(tc_fun(_u13066, tc_HOL_Obool), _u13065), _u13069)))) )).
% 12.54/12.79 cnf(matrix-6069, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13070, _u13071), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13070, tc_HOL_Obool)), _u13072), _u13073)), _u13074) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13070, _u13071), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13070, _u13071), _u13072), _u13074)), hAPP(hAPP(c_Product__Type_OSigma(_u13070, _u13071), _u13073), _u13074))) )).
% 12.54/12.79 cnf(matrix-6070, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13075, _u13076), c_Orderings_Otop__class_Otop(tc_fun(_u13075, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u13076, tc_HOL_Obool), _u13075), c_Orderings_Otop__class_Otop(tc_fun(_u13076, tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u13075, _u13076), tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-6071, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13083, _u13085)), hAPP(hAPP(c_Product__Type_OPair(_u13083, _u13085), _u13087), _u13089)), hAPP(hAPP(c_Product__Type_OSigma(_u13083, _u13085), _u13091), _u13093))) | hBOOL(hAPP(hAPP(c_member(_u13083), _u13087), _u13091)) )).
% 12.54/12.79 cnf(matrix-6072, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13083, _u13085)), hAPP(hAPP(c_Product__Type_OPair(_u13083, _u13085), _u13087), _u13089)), hAPP(hAPP(c_Product__Type_OSigma(_u13083, _u13085), _u13091), _u13093))) | hBOOL(hAPP(hAPP(c_member(_u13085), _u13089), hAPP(_u13093, _u13087))) )).
% 12.54/12.79 cnf(matrix-6073, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13084), _u13088), _u13092)) | ~hBOOL(hAPP(hAPP(c_member(_u13086), _u13090), hAPP(_u13094, _u13088))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13084, _u13086)), hAPP(hAPP(c_Product__Type_OPair(_u13084, _u13086), _u13088), _u13090)), hAPP(hAPP(c_Product__Type_OSigma(_u13084, _u13086), _u13092), _u13094))) )).
% 12.54/12.79 cnf(matrix-6074, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13095, _u13096)), hAPP(hAPP(c_Product__Type_OPair(_u13095, _u13096), _u13097), _u13098)), hAPP(hAPP(c_Product__Type_OSigma(_u13095, _u13096), _u13099), _u13100))) | hBOOL(hAPP(hAPP(c_member(_u13095), _u13097), _u13099)) )).
% 12.54/12.79 cnf(matrix-6075, plain, ( hBOOL(hAPP(hAPP(c_member(_u13102), _u13104), hAPP(_u13106, _u13103))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13101, _u13102)), hAPP(hAPP(c_Product__Type_OPair(_u13101, _u13102), _u13103), _u13104)), hAPP(hAPP(c_Product__Type_OSigma(_u13101, _u13102), _u13105), _u13106))) )).
% 12.54/12.79 cnf(matrix-6076, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13107, _u13108)), hAPP(hAPP(c_Product__Type_OPair(_u13107, _u13108), _u13109), _u13110)), hAPP(hAPP(c_Product__Type_OSigma(_u13107, _u13108), _u13111), _u13112))) | hBOOL(hAPP(hAPP(c_member(_u13107), _u13109), _u13111)) )).
% 12.54/12.79 cnf(matrix-6077, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13107, _u13108)), hAPP(hAPP(c_Product__Type_OPair(_u13107, _u13108), _u13109), _u13110)), hAPP(hAPP(c_Product__Type_OSigma(_u13107, _u13108), _u13111), _u13112))) | hBOOL(hAPP(hAPP(c_member(_u13108), _u13110), hAPP(_u13112, _u13109))) )).
% 12.54/12.79 cnf(matrix-6078, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13113, _u13114)), hAPP(hAPP(c_Product__Type_OSigma(_u13113, _u13114), hAPP(hAPP(c_Set_Oinsert(_u13113), _u13115), c_Orderings_Obot__class_Obot(tc_fun(_u13113, tc_HOL_Obool)))), hAPP(c_COMBK(tc_fun(_u13114, tc_HOL_Obool), _u13113), _u13116))) = hAPP(c_Finite__Set_Ocard(_u13114), _u13116)) )).
% 12.54/12.79 cnf(matrix-6079, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13117), _u13118), _u13119)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13120, _u13117), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13120, _u13117), _u13121), hAPP(c_COMBK(tc_fun(_u13117, tc_HOL_Obool), _u13120), _u13119))), hAPP(hAPP(c_Product__Type_OSigma(_u13120, _u13117), _u13122), hAPP(c_COMBK(tc_fun(_u13117, tc_HOL_Obool), _u13120), _u13119)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13120, tc_HOL_Obool)), _u13121), _u13122)) )).
% 12.54/12.79 cnf(matrix-6080, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13117), _u13118), _u13119)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13120, tc_HOL_Obool)), _u13121), _u13122)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13120, _u13117), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13120, _u13117), _u13121), hAPP(c_COMBK(tc_fun(_u13117, tc_HOL_Obool), _u13120), _u13119))), hAPP(hAPP(c_Product__Type_OSigma(_u13120, _u13117), _u13122), hAPP(c_COMBK(tc_fun(_u13117, tc_HOL_Obool), _u13120), _u13119)))) )).
% 12.54/12.79 cnf(matrix-6081, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13123, _u13124), tc_HOL_Obool)), _u13125), hAPP(hAPP(c_Product__Type_OSigma(_u13123, _u13124), _u13126), hAPP(c_COMBK(tc_fun(_u13124, tc_HOL_Obool), _u13123), _u13127)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13124, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u13123, _u13124, _u13125), _u13128)), _u13127)) )).
% 12.54/12.79 cnf(matrix-6082, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13129, _u13130)), hAPP(hAPP(c_Product__Type_OSigma(_u13129, _u13130), _u13131), hAPP(c_COMBK(tc_fun(_u13130, tc_HOL_Obool), _u13129), _u13132)))) | ( _u13132 = c_Orderings_Obot__class_Obot(tc_fun(_u13130, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13129), _u13131)) )).
% 12.54/12.79 cnf(matrix-6083, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13133, _u13134)), hAPP(hAPP(c_Product__Type_OSigma(_u13133, _u13134), _u13135), hAPP(c_COMBK(tc_fun(_u13134, tc_HOL_Obool), _u13133), _u13136)))) | ( _u13135 = c_Orderings_Obot__class_Obot(tc_fun(_u13133, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13134), _u13136)) )).
% 12.54/12.79 cnf(matrix-6084, plain, ( ( hAPP(c_Set_OCollect(tc_prod(_u13137, _u13138)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13137, _u13138, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13137, tc_fun(_u13138, tc_HOL_Obool), tc_fun(_u13138, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13138, tc_HOL_Obool), tc_fun(_u13138, tc_HOL_Obool)), _u13137), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13138)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13137), c_fconj), _u13139))), _u13140))) = hAPP(hAPP(c_Product__Type_OSigma(_u13137, _u13138), hAPP(c_Set_OCollect(_u13137), _u13139)), hAPP(c_COMBK(tc_fun(_u13138, tc_HOL_Obool), _u13137), hAPP(c_Set_OCollect(_u13138), _u13140)))) )).
% 12.54/12.79 cnf(matrix-6085, plain, ( ( hAPP(c_Set_OCollect(tc_prod(_u13141, _u13142)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13141, _u13142, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u13141, tc_fun(_u13142, tc_HOL_Obool), tc_fun(_u13142, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13142, tc_HOL_Obool), tc_fun(_u13142, tc_HOL_Obool)), _u13141), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13142)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13141), c_fconj), _u13143))), _u13144))) = hAPP(hAPP(c_Product__Type_OSigma(_u13141, _u13142), hAPP(c_Set_OCollect(_u13141), _u13143)), hAPP(hAPP(c_COMBB(tc_fun(_u13142, tc_HOL_Obool), tc_fun(_u13142, tc_HOL_Obool), _u13141), c_Set_OCollect(_u13142)), _u13144))) )).
% 12.54/12.79 cnf(matrix-6086, plain, ( ( _u13149 != c_Orderings_Obot__class_Obot(tc_fun(_u13151, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13153, _u13151), _u13153, c_Product__Type_Ofst(_u13153, _u13151)), hAPP(hAPP(c_Product__Type_OSigma(_u13153, _u13151), _u13155), hAPP(c_COMBK(tc_fun(_u13151, tc_HOL_Obool), _u13153), _u13149))) = c_Orderings_Obot__class_Obot(tc_fun(_u13153, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-6087, plain, ( ( _u13150 = c_Orderings_Obot__class_Obot(tc_fun(_u13152, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13154, _u13152), _u13154, c_Product__Type_Ofst(_u13154, _u13152)), hAPP(hAPP(c_Product__Type_OSigma(_u13154, _u13152), _u13156), hAPP(c_COMBK(tc_fun(_u13152, tc_HOL_Obool), _u13154), _u13150))) = _u13156) )).
% 12.54/12.79 cnf(matrix-6088, plain, ( ( _u13161 != c_Orderings_Obot__class_Obot(tc_fun(_u13163, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13163, _u13165), _u13165, c_Product__Type_Osnd(_u13163, _u13165)), hAPP(hAPP(c_Product__Type_OSigma(_u13163, _u13165), _u13161), hAPP(c_COMBK(tc_fun(_u13165, tc_HOL_Obool), _u13163), _u13167))) = c_Orderings_Obot__class_Obot(tc_fun(_u13165, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-6089, plain, ( ( _u13162 = c_Orderings_Obot__class_Obot(tc_fun(_u13164, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13164, _u13166), _u13166, c_Product__Type_Osnd(_u13164, _u13166)), hAPP(hAPP(c_Product__Type_OSigma(_u13164, _u13166), _u13162), hAPP(c_COMBK(tc_fun(_u13166, tc_HOL_Obool), _u13164), _u13168))) = _u13168) )).
% 12.54/12.79 cnf(matrix-6090, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13169, _u13170), hAPP(hAPP(c_Set_Oinsert(_u13169), _u13171), _u13172)), hAPP(c_COMBK(tc_fun(_u13170, tc_HOL_Obool), _u13169), hAPP(hAPP(c_Set_Oinsert(_u13170), _u13173), _u13174))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13169, _u13170)), hAPP(hAPP(c_Product__Type_OPair(_u13169, _u13170), _u13171), _u13173)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13169, _u13170), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13169, _u13170), _u13172), hAPP(c_COMBK(tc_fun(_u13170, tc_HOL_Obool), _u13169), hAPP(hAPP(c_Set_Oinsert(_u13170), _u13173), _u13174)))), hAPP(hAPP(c_Product__Type_OSigma(_u13169, _u13170), hAPP(hAPP(c_Set_Oinsert(_u13169), _u13171), _u13172)), hAPP(c_COMBK(tc_fun(_u13170, tc_HOL_Obool), _u13169), _u13174))))) )).
% 12.54/12.79 cnf(matrix-6091, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13175), _u13176)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13175, _u13175), tc_HOL_Obool)), _u13177), hAPP(hAPP(c_Product__Type_OSigma(_u13175, _u13175), _u13176), hAPP(c_COMBK(tc_fun(_u13175, tc_HOL_Obool), _u13175), _u13176)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u13175, tc_HOL_Obool)), _u13178), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u13175), _u13176), _u13177))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13175), _u13178)) )).
% 12.54/12.79 cnf(matrix-6092, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(_u13179, _u13180), tc_fun(tc_prod(_u13181, _u13182), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13179, _u13180), _u13183), hAPP(c_COMBK(tc_fun(_u13180, tc_HOL_Obool), _u13179), _u13184))), hAPP(c_Product__Type_Oprod_Oprod__case(_u13179, _u13180, tc_fun(tc_prod(_u13181, _u13182), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u13179, tc_fun(_u13180, tc_fun(_u13181, tc_fun(_u13182, tc_HOL_Obool))), tc_fun(_u13180, tc_fun(tc_prod(_u13181, _u13182), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13181, tc_fun(_u13182, tc_HOL_Obool)), tc_fun(tc_prod(_u13181, _u13182), tc_HOL_Obool)), tc_fun(tc_fun(_u13180, tc_fun(_u13181, tc_fun(_u13182, tc_HOL_Obool))), tc_fun(_u13180, tc_fun(tc_prod(_u13181, _u13182), tc_HOL_Obool))), _u13179), c_COMBB(tc_fun(_u13181, tc_fun(_u13182, tc_HOL_Obool)), tc_fun(tc_prod(_u13181, _u13182), tc_HOL_Obool), _u13180)), hAPP(hAPP(c_COMBB(tc_fun(_u13181, tc_HOL_Obool), tc_fun(tc_fun(_u13181, tc_fun(_u13182, tc_HOL_Obool)), tc_fun(tc_prod(_u13181, _u13182), tc_HOL_Obool)), _u13179), c_Product__Type_OSigma(_u13181, _u13182)), _u13185))), hAPP(hAPP(c_COMBB(tc_fun(_u13182, tc_HOL_Obool), tc_fun(_u13181, tc_fun(_u13182, tc_HOL_Obool)), _u13180), c_COMBK(tc_fun(_u13182, tc_HOL_Obool), _u13181)), _u13186)))) = hAPP(hAPP(c_Product__Type_OSigma(_u13181, _u13182), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13179, tc_fun(_u13181, tc_HOL_Obool)), _u13183), _u13185)), hAPP(c_COMBK(tc_fun(_u13182, tc_HOL_Obool), _u13181), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13180, tc_fun(_u13182, tc_HOL_Obool)), _u13184), _u13186)))) )).
% 12.54/12.79 cnf(matrix-6093, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13187, _u13188), _u13189), _u13190) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13187, tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool)), _u13189), hAPP(hAPP(c_COMBS(_u13187, tc_fun(_u13188, tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool)), tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13188, tc_HOL_Obool), tc_fun(tc_fun(_u13188, tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool)), tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool)), _u13187), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13188, tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool))), _u13190)), hAPP(hAPP(c_COMBC(_u13187, tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool), tc_fun(_u13188, tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13188, tc_fun(tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool), tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool), tc_fun(_u13188, tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool))), _u13187), c_COMBC(_u13188, tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool), tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13188, tc_prod(_u13187, _u13188)), tc_fun(_u13188, tc_fun(tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool), tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool))), _u13187), hAPP(c_COMBB(tc_prod(_u13187, _u13188), tc_fun(tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool), tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool)), _u13188), c_Set_Oinsert(tc_prod(_u13187, _u13188)))), c_Product__Type_OPair(_u13187, _u13188)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13187, _u13188), tc_HOL_Obool)))))) )).
% 12.54/12.79 cnf(matrix-6094, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13191), _u13192)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13191, _u13191), tc_HOL_Obool)), _u13193), hAPP(hAPP(c_Product__Type_OSigma(_u13191, _u13191), _u13192), hAPP(c_COMBK(tc_fun(_u13191, tc_HOL_Obool), _u13191), _u13192)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u13191, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u13191), _u13192), _u13193))) )).
% 12.54/12.79 cnf(matrix-6095, plain, ( ~class_Rings_Osemiring__0(_u13194) | ~c_Fun_Oinj__on(tc_prod(_u13195, _u13196), _u13194, hAPP(c_Product__Type_Oprod_Oprod__case(_u13195, _u13196, _u13194), hAPP(hAPP(c_COMBC(_u13195, tc_fun(_u13196, _u13194), tc_fun(_u13196, _u13194)), hAPP(hAPP(c_COMBB(tc_fun(_u13194, _u13194), tc_fun(tc_fun(_u13196, _u13194), tc_fun(_u13196, _u13194)), _u13195), c_COMBB(_u13194, _u13194, _u13196)), hAPP(hAPP(c_COMBB(_u13194, tc_fun(_u13194, _u13194), _u13195), c_Groups_Otimes__class_Otimes(_u13194)), _u13197))), _u13198)), hAPP(hAPP(c_Product__Type_OSigma(_u13195, _u13196), _u13199), hAPP(c_COMBK(tc_fun(_u13196, tc_HOL_Obool), _u13195), _u13200))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13194), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13195, _u13194), _u13197), _u13199)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13196, _u13194), _u13198), _u13200)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13194, _u13194), c_Fun_Oid(_u13194)), hAPP(c_Set_OCollect(_u13194), hAPP(hAPP(c_COMBB(tc_fun(_u13195, tc_HOL_Obool), tc_HOL_Obool, _u13194), c_HOL_OEx(_u13195)), hAPP(hAPP(c_COMBB(tc_fun(_u13195, tc_fun(_u13196, tc_HOL_Obool)), tc_fun(_u13195, tc_HOL_Obool), _u13194), hAPP(c_COMBB(tc_fun(_u13196, tc_HOL_Obool), tc_HOL_Obool, _u13195), c_HOL_OEx(_u13196))), hAPP(hAPP(c_COMBC(_u13194, tc_fun(_u13195, tc_fun(_u13196, tc_HOL_Obool)), tc_fun(_u13195, tc_fun(_u13196, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13195, tc_fun(tc_fun(_u13196, tc_HOL_Obool), tc_fun(_u13196, tc_HOL_Obool))), tc_fun(tc_fun(_u13195, tc_fun(_u13196, tc_HOL_Obool)), tc_fun(_u13195, tc_fun(_u13196, tc_HOL_Obool))), _u13194), c_COMBS(_u13195, tc_fun(_u13196, tc_HOL_Obool), tc_fun(_u13196, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13195, tc_fun(_u13196, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u13195, tc_fun(tc_fun(_u13196, tc_HOL_Obool), tc_fun(_u13196, tc_HOL_Obool))), _u13194), hAPP(c_COMBB(tc_fun(_u13196, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13196, tc_HOL_Obool), tc_fun(_u13196, tc_HOL_Obool)), _u13195), c_COMBS(_u13196, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13195, tc_fun(_u13196, tc_HOL_Obool)), tc_fun(_u13195, tc_fun(_u13196, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u13194), hAPP(c_COMBB(tc_fun(_u13196, tc_HOL_Obool), tc_fun(_u13196, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13195), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13196), c_fconj))), hAPP(hAPP(c_COMBC(_u13194, tc_fun(_u13195, tc_fun(_u13196, _u13194)), tc_fun(_u13195, tc_fun(_u13196, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13196, _u13194), tc_fun(_u13196, tc_HOL_Obool)), tc_fun(tc_fun(_u13195, tc_fun(_u13196, _u13194)), tc_fun(_u13195, tc_fun(_u13196, tc_HOL_Obool))), _u13194), c_COMBB(tc_fun(_u13196, _u13194), tc_fun(_u13196, tc_HOL_Obool), _u13195)), hAPP(hAPP(c_COMBB(tc_fun(_u13194, tc_HOL_Obool), tc_fun(tc_fun(_u13196, _u13194), tc_fun(_u13196, tc_HOL_Obool)), _u13194), c_COMBB(_u13194, tc_HOL_Obool, _u13196)), c_fequal))), hAPP(hAPP(c_COMBC(_u13195, tc_fun(_u13196, _u13194), tc_fun(_u13196, _u13194)), hAPP(hAPP(c_COMBB(tc_fun(_u13194, _u13194), tc_fun(tc_fun(_u13196, _u13194), tc_fun(_u13196, _u13194)), _u13195), c_COMBB(_u13194, _u13194, _u13196)), hAPP(hAPP(c_COMBB(_u13194, tc_fun(_u13194, _u13194), _u13195), c_Groups_Otimes__class_Otimes(_u13194)), _u13197))), _u13198)))))), hAPP(hAPP(c_COMBC(_u13195, tc_fun(_u13196, tc_HOL_Obool), tc_fun(_u13196, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13196, tc_HOL_Obool), tc_fun(_u13196, tc_HOL_Obool)), _u13195), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13196)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13195), c_fconj), hAPP(hAPP(c_COMBC(_u13195, tc_fun(_u13195, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13195)), _u13199)))), hAPP(hAPP(c_COMBC(_u13196, tc_fun(_u13196, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13196)), _u13200)))))))) )).
% 12.54/12.79 cnf(matrix-6096, plain, ( c_Fun_Oinj__on(_u13202, tc_prod(_u13203, _u13202), skolem334(_u13205, _u13204, _u13203, _u13202), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13203, tc_fun(_u13202, tc_HOL_Obool)), _u13204), _u13205)) )).
% 12.54/12.79 cnf(matrix-6097, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13203, _u13202), tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13202, tc_prod(_u13203, _u13202), skolem334(_u13205, _u13204, _u13203, _u13202)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13203, tc_fun(_u13202, tc_HOL_Obool)), _u13204), _u13205))), hAPP(hAPP(c_Product__Type_OSigma(_u13203, _u13202), _u13204), _u13205))) )).
% 12.54/12.79 cnf(matrix-6098, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13207) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13208), _u13209)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13207, _u13208, c_Groups_Otimes__class_Otimes(_u13207)), hAPP(hAPP(c_COMBS(_u13208, tc_fun(_u13210, tc_HOL_Obool), _u13207), hAPP(hAPP(c_COMBC(_u13208, _u13207, tc_fun(tc_fun(_u13210, tc_HOL_Obool), _u13207)), hAPP(hAPP(c_COMBB(tc_fun(_u13210, _u13207), tc_fun(_u13207, tc_fun(tc_fun(_u13210, tc_HOL_Obool), _u13207)), _u13208), c_Finite__Set_Ofold__image(_u13207, _u13210, c_Groups_Otimes__class_Otimes(_u13207))), _u13212)), c_Groups_Oone__class_Oone(_u13207))), _u13211)), c_Groups_Oone__class_Oone(_u13207)), _u13209) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13207, tc_prod(_u13208, _u13210), c_Groups_Otimes__class_Otimes(_u13207)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13208, _u13210, _u13207), _u13212)), c_Groups_Oone__class_Oone(_u13207)), hAPP(hAPP(c_Product__Type_OSigma(_u13208, _u13210), _u13209), _u13211))) | hBOOL(hAPP(hAPP(c_member(_u13208), skolem335(_u13212, _u13211, _u13210, _u13209, _u13208, _u13207)), _u13209)) )).
% 12.54/12.79 cnf(matrix-6099, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13207) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13208), _u13209)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13207, _u13208, c_Groups_Otimes__class_Otimes(_u13207)), hAPP(hAPP(c_COMBS(_u13208, tc_fun(_u13210, tc_HOL_Obool), _u13207), hAPP(hAPP(c_COMBC(_u13208, _u13207, tc_fun(tc_fun(_u13210, tc_HOL_Obool), _u13207)), hAPP(hAPP(c_COMBB(tc_fun(_u13210, _u13207), tc_fun(_u13207, tc_fun(tc_fun(_u13210, tc_HOL_Obool), _u13207)), _u13208), c_Finite__Set_Ofold__image(_u13207, _u13210, c_Groups_Otimes__class_Otimes(_u13207))), _u13212)), c_Groups_Oone__class_Oone(_u13207))), _u13211)), c_Groups_Oone__class_Oone(_u13207)), _u13209) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13207, tc_prod(_u13208, _u13210), c_Groups_Otimes__class_Otimes(_u13207)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13208, _u13210, _u13207), _u13212)), c_Groups_Oone__class_Oone(_u13207)), hAPP(hAPP(c_Product__Type_OSigma(_u13208, _u13210), _u13209), _u13211))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13210), hAPP(_u13211, skolem335(_u13212, _u13211, _u13210, _u13209, _u13208, _u13207)))) )).
% 12.54/12.79 cnf(matrix-6100, plain, ( ( hAPP(c_Set_Oimage(_u13213, _u13213, c_Fun_Oid(_u13213)), _u13214) = _u13214) )).
% 12.54/12.79 cnf(matrix-6101, plain, ( ( hAPP(c_Set_Ovimage(_u13215, _u13215, c_Fun_Oid(_u13215)), _u13216) = _u13216) )).
% 12.54/12.79 cnf(matrix-6102, plain, ( c_Fun_Oinj__on(_u13217, _u13217, c_Fun_Oid(_u13217), _u13218) )).
% 12.54/12.79 cnf(matrix-6103, plain, ( ( c_Product__Type_Oapfst(_u13219, _u13219, _u13220, c_Fun_Oid(_u13219)) = c_Fun_Oid(tc_prod(_u13219, _u13220))) )).
% 12.54/12.79 cnf(matrix-6104, plain, ( ( c_Product__Type_Oapsnd(_u13221, _u13221, _u13222, c_Fun_Oid(_u13221)) = c_Fun_Oid(tc_prod(_u13222, _u13221))) )).
% 12.54/12.79 cnf(matrix-6105, plain, ( ( hAPP(c_Fun_Oid(_u13223), _u13224) = _u13224) )).
% 12.54/12.79 cnf(matrix-6106, plain, ( ( hAPP(c_Fun_Oid(_u13225), _u13226) = _u13226) )).
% 12.54/12.79 cnf(matrix-6107, plain, ( ( c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint)) )).
% 12.54/12.79 cnf(matrix-6108, plain, ( ( hAPP(c_Set_Oimage(_u13227, _u13227, c_Fun_Oid(_u13227)), c_Orderings_Otop__class_Otop(tc_fun(_u13227, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u13227, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-6109, plain, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u13228, _u13229, tc_prod(_u13228, _u13229)), c_Product__Type_OPair(_u13228, _u13229)) = c_Fun_Oid(tc_prod(_u13228, _u13229))) )).
% 12.54/12.79 cnf(matrix-6110, plain, ( ~class_Groups_Ocomm__monoid__add(_u13230) | ~c_Fun_Oinj__on(_u13231, _u13230, _u13232, _u13233) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13231, _u13230), _u13232), _u13233) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13230, _u13230), c_Fun_Oid(_u13230)), hAPP(c_Set_Oimage(_u13231, _u13230, _u13232), _u13233))) )).
% 12.54/12.79 cnf(matrix-6111, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13234) | ~c_Fun_Oinj__on(_u13235, _u13234, _u13236, _u13237) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13235, _u13234), _u13236), _u13237) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13234, _u13234), c_Fun_Oid(_u13234)), hAPP(c_Set_Oimage(_u13235, _u13234, _u13236), _u13237))) )).
% 12.54/12.79 cnf(matrix-6112, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13239) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13240), _u13241)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13240, _u13239), hAPP(hAPP(c_COMBS(_u13240, tc_fun(_u13242, tc_HOL_Obool), _u13239), hAPP(hAPP(c_COMBB(tc_fun(_u13242, _u13239), tc_fun(tc_fun(_u13242, tc_HOL_Obool), _u13239), _u13240), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13242, _u13239)), _u13244)), _u13243)), _u13241) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13240, _u13242), _u13239), hAPP(c_Product__Type_Oprod_Oprod__case(_u13240, _u13242, _u13239), _u13244)), hAPP(hAPP(c_Product__Type_OSigma(_u13240, _u13242), _u13241), _u13243))) | hBOOL(hAPP(hAPP(c_member(_u13240), skolem336(_u13244, _u13243, _u13242, _u13241, _u13240, _u13239)), _u13241)) )).
% 12.54/12.79 cnf(matrix-6113, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13239) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13240), _u13241)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13240, _u13239), hAPP(hAPP(c_COMBS(_u13240, tc_fun(_u13242, tc_HOL_Obool), _u13239), hAPP(hAPP(c_COMBB(tc_fun(_u13242, _u13239), tc_fun(tc_fun(_u13242, tc_HOL_Obool), _u13239), _u13240), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13242, _u13239)), _u13244)), _u13243)), _u13241) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13240, _u13242), _u13239), hAPP(c_Product__Type_Oprod_Oprod__case(_u13240, _u13242, _u13239), _u13244)), hAPP(hAPP(c_Product__Type_OSigma(_u13240, _u13242), _u13241), _u13243))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13242), hAPP(_u13243, skolem336(_u13244, _u13243, _u13242, _u13241, _u13240, _u13239)))) )).
% 12.54/12.79 cnf(matrix-6114, plain, ( ~class_Groups_Ocomm__monoid__add(_u13246) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13247), _u13248)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13247, _u13246), hAPP(hAPP(c_COMBS(_u13247, tc_fun(_u13249, tc_HOL_Obool), _u13246), hAPP(hAPP(c_COMBB(tc_fun(_u13249, _u13246), tc_fun(tc_fun(_u13249, tc_HOL_Obool), _u13246), _u13247), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13249, _u13246)), _u13251)), _u13250)), _u13248) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u13247, _u13249), _u13246), hAPP(c_Product__Type_Oprod_Oprod__case(_u13247, _u13249, _u13246), _u13251)), hAPP(hAPP(c_Product__Type_OSigma(_u13247, _u13249), _u13248), _u13250))) | hBOOL(hAPP(hAPP(c_member(_u13247), skolem337(_u13251, _u13250, _u13249, _u13248, _u13247, _u13246)), _u13248)) )).
% 12.54/12.79 cnf(matrix-6115, plain, ( ~class_Groups_Ocomm__monoid__add(_u13246) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13247), _u13248)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13247, _u13246), hAPP(hAPP(c_COMBS(_u13247, tc_fun(_u13249, tc_HOL_Obool), _u13246), hAPP(hAPP(c_COMBB(tc_fun(_u13249, _u13246), tc_fun(tc_fun(_u13249, tc_HOL_Obool), _u13246), _u13247), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13249, _u13246)), _u13251)), _u13250)), _u13248) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u13247, _u13249), _u13246), hAPP(c_Product__Type_Oprod_Oprod__case(_u13247, _u13249, _u13246), _u13251)), hAPP(hAPP(c_Product__Type_OSigma(_u13247, _u13249), _u13248), _u13250))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13249), hAPP(_u13250, skolem337(_u13251, _u13250, _u13249, _u13248, _u13247, _u13246)))) )).
% 12.54/12.79 cnf(matrix-6116, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13253), _u13254)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13253, _u13255)), hAPP(hAPP(c_Product__Type_OSigma(_u13253, _u13255), _u13254), _u13256)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13253, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u13255, tc_HOL_Obool), tc_Nat_Onat, _u13253), c_Finite__Set_Ocard(_u13255)), _u13256)), _u13254)) | hBOOL(hAPP(hAPP(c_member(_u13253), skolem338(_u13256, _u13255, _u13254, _u13253)), _u13254)) )).
% 12.54/12.79 cnf(matrix-6117, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13253), _u13254)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13253, _u13255)), hAPP(hAPP(c_Product__Type_OSigma(_u13253, _u13255), _u13254), _u13256)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13253, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u13255, tc_HOL_Obool), tc_Nat_Onat, _u13253), c_Finite__Set_Ocard(_u13255)), _u13256)), _u13254)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13255), hAPP(_u13256, skolem338(_u13256, _u13255, _u13254, _u13253)))) )).
% 12.54/12.79 cnf(matrix-6118, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13258), _u13259)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13258, _u13260)), hAPP(hAPP(c_Product__Type_OSigma(_u13258, _u13260), _u13259), _u13261))) | hBOOL(hAPP(hAPP(c_member(_u13258), skolem339(_u13261, _u13260, _u13259, _u13258)), _u13259)) )).
% 12.54/12.79 cnf(matrix-6119, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13258), _u13259)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13258, _u13260)), hAPP(hAPP(c_Product__Type_OSigma(_u13258, _u13260), _u13259), _u13261))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13260), hAPP(_u13261, skolem339(_u13261, _u13260, _u13259, _u13258)))) )).
% 12.54/12.79 cnf(matrix-6120, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13264, _u13265)), _u13266), hAPP(hAPP(c_Product__Type_OSigma(_u13264, _u13265), _u13267), _u13268))) | hBOOL(hAPP(hAPP(c_member(_u13264), skolem340(_u13268, _u13267, _u13266, _u13265, _u13264)), _u13267)) )).
% 12.54/12.79 cnf(matrix-6121, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13264, _u13265)), _u13266), hAPP(hAPP(c_Product__Type_OSigma(_u13264, _u13265), _u13267), _u13268))) | hBOOL(hAPP(hAPP(c_member(_u13265), skolem341(_u13268, _u13267, _u13266, _u13265, _u13264)), hAPP(_u13268, skolem340(_u13268, _u13267, _u13266, _u13265, _u13264)))) )).
% 12.54/12.79 cnf(matrix-6122, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13264, _u13265)), _u13266), hAPP(hAPP(c_Product__Type_OSigma(_u13264, _u13265), _u13267), _u13268))) | ( _u13266 = hAPP(hAPP(c_Product__Type_OPair(_u13264, _u13265), skolem340(_u13268, _u13267, _u13266, _u13265, _u13264)), skolem341(_u13268, _u13267, _u13266, _u13265, _u13264))) )).
% 12.54/12.79 cnf(matrix-6123, plain, ( ( hAPP(c_Set_Oimage(_u13269, _u13270, _u13271), c_Orderings_Otop__class_Otop(tc_fun(_u13269, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13270, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13272, _u13273, _u13274), c_Orderings_Otop__class_Otop(tc_fun(_u13272, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13273, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13269, _u13272), tc_prod(_u13270, _u13273), c_Product__Type_Omap__pair(_u13269, _u13270, _u13272, _u13273, _u13271, _u13274)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u13269, _u13272), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u13270, _u13273), tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-6124, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13275, _u13276)), hAPP(hAPP(c_Product__Type_OPair(_u13275, _u13276), _u13277), _u13278)), _u13279)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13280, _u13281)), hAPP(hAPP(c_Product__Type_OPair(_u13280, _u13281), hAPP(_u13282, _u13277)), hAPP(_u13283, _u13278))), hAPP(c_Set_Oimage(tc_prod(_u13275, _u13276), tc_prod(_u13280, _u13281), c_Product__Type_Omap__pair(_u13275, _u13280, _u13276, _u13281, _u13282, _u13283)), _u13279))) )).
% 12.54/12.79 cnf(matrix-6125, plain, ( ( hAPP(c_Product__Type_Ofst(_u13284, _u13285), hAPP(c_Product__Type_Omap__pair(_u13286, _u13284, _u13287, _u13285, _u13288, _u13289), _u13290)) = hAPP(_u13288, hAPP(c_Product__Type_Ofst(_u13286, _u13287), _u13290))) )).
% 12.54/12.79 cnf(matrix-6126, plain, ( ( hAPP(c_Product__Type_Osnd(_u13291, _u13292), hAPP(c_Product__Type_Omap__pair(_u13293, _u13291, _u13294, _u13292, _u13295, _u13296), _u13297)) = hAPP(_u13296, hAPP(c_Product__Type_Osnd(_u13293, _u13294), _u13297))) )).
% 12.54/12.79 cnf(matrix-6127, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u13298, _u13299, _u13300, _u13301, _u13302, _u13303), hAPP(hAPP(c_Product__Type_OPair(_u13298, _u13300), _u13304), _u13305)) = hAPP(hAPP(c_Product__Type_OPair(_u13299, _u13301), hAPP(_u13302, _u13304)), hAPP(_u13303, _u13305))) )).
% 12.54/12.79 cnf(matrix-6128, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u13306, _u13306, _u13307, _u13307, c_COMBI(_u13306), c_COMBI(_u13307)), _u13308) = _u13308) )).
% 12.54/12.79 cnf(matrix-6129, plain, ( ( c_Product__Type_Omap__pair(_u13309, _u13309, _u13310, _u13310, c_COMBI(_u13309), c_COMBI(_u13310)) = c_Fun_Oid(tc_prod(_u13309, _u13310))) )).
% 12.54/12.79 cnf(matrix-6130, plain, ( ( c_Product__Type_Oapfst(_u13311, _u13312, _u13313, _u13314) = c_Product__Type_Omap__pair(_u13311, _u13312, _u13313, _u13313, _u13314, c_Fun_Oid(_u13313))) )).
% 12.54/12.79 cnf(matrix-6131, plain, ( ( c_Product__Type_Oapsnd(_u13315, _u13316, _u13317, _u13318) = c_Product__Type_Omap__pair(_u13317, _u13317, _u13315, _u13316, c_Fun_Oid(_u13317), _u13318)) )).
% 12.54/12.79 cnf(matrix-6132, plain, ( ( c_Product__Type_Omap__pair(_u13319, _u13319, _u13320, _u13320, c_Fun_Oid(_u13319), c_Fun_Oid(_u13320)) = c_Fun_Oid(tc_prod(_u13319, _u13320))) )).
% 12.54/12.79 cnf(matrix-6133, plain, ( ( c_Product__Type_Omap__pair(_u13321, _u13322, _u13323, _u13324, _u13325, _u13326) = hAPP(c_Product__Type_Oprod_Oprod__case(_u13321, _u13323, tc_prod(_u13322, _u13324)), hAPP(hAPP(c_COMBC(_u13321, tc_fun(_u13323, _u13324), tc_fun(_u13323, tc_prod(_u13322, _u13324))), hAPP(hAPP(c_COMBB(tc_fun(_u13324, tc_prod(_u13322, _u13324)), tc_fun(tc_fun(_u13323, _u13324), tc_fun(_u13323, tc_prod(_u13322, _u13324))), _u13321), c_COMBB(_u13324, tc_prod(_u13322, _u13324), _u13323)), hAPP(hAPP(c_COMBB(_u13322, tc_fun(_u13324, tc_prod(_u13322, _u13324)), _u13321), c_Product__Type_OPair(_u13322, _u13324)), _u13325))), _u13326))) )).
% 12.54/12.79 cnf(matrix-6134, plain, ( ( hAPP(c_Set_Oimage(_u13327, _u13328, _u13329), _u13330) != _u13331) | ( hAPP(c_Set_Oimage(_u13332, _u13333, _u13334), _u13335) != _u13336) | ( hAPP(c_Set_Oimage(tc_prod(_u13327, _u13332), tc_prod(_u13328, _u13333), c_Product__Type_Omap__pair(_u13327, _u13328, _u13332, _u13333, _u13329, _u13334)), hAPP(hAPP(c_Product__Type_OSigma(_u13327, _u13332), _u13330), hAPP(c_COMBK(tc_fun(_u13332, tc_HOL_Obool), _u13327), _u13335))) = hAPP(hAPP(c_Product__Type_OSigma(_u13328, _u13333), _u13331), hAPP(c_COMBK(tc_fun(_u13333, tc_HOL_Obool), _u13328), _u13336))) )).
% 12.54/12.79 cnf(matrix-6135, plain, ( ~c_Wellfounded_Owf(_u13337, _u13338) | ~c_Fun_Oinj__on(_u13337, _u13339, _u13340, c_Orderings_Otop__class_Otop(tc_fun(_u13337, tc_HOL_Obool))) | c_Wellfounded_Owf(_u13339, hAPP(c_Set_Oimage(tc_prod(_u13337, _u13337), tc_prod(_u13339, _u13339), c_Product__Type_Omap__pair(_u13337, _u13339, _u13337, _u13339, _u13340, _u13340)), _u13338)) )).
% 12.54/12.79 cnf(matrix-6136, plain, ( ~c_Fun_Oinj__on(_u13341, _u13342, _u13343, _u13344) | ~c_Fun_Oinj__on(_u13345, _u13346, _u13347, _u13348) | c_Fun_Oinj__on(tc_prod(_u13341, _u13345), tc_prod(_u13342, _u13346), c_Product__Type_Omap__pair(_u13341, _u13342, _u13345, _u13346, _u13343, _u13347), hAPP(hAPP(c_Product__Type_OSigma(_u13341, _u13345), _u13344), hAPP(c_COMBK(tc_fun(_u13345, tc_HOL_Obool), _u13341), _u13348))) )).
% 12.54/12.79 cnf(matrix-6137, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13351, _u13352)), _u13353), hAPP(c_Set_Oimage(tc_prod(_u13354, _u13355), tc_prod(_u13351, _u13352), c_Product__Type_Omap__pair(_u13354, _u13351, _u13355, _u13352, _u13356, _u13357)), _u13358))) | ( _u13353 = hAPP(hAPP(c_Product__Type_OPair(_u13351, _u13352), hAPP(_u13356, skolem342(_u13358, _u13357, _u13356, _u13355, _u13354, _u13353, _u13352, _u13351))), hAPP(_u13357, skolem343(_u13358, _u13357, _u13356, _u13355, _u13354, _u13353, _u13352, _u13351)))) )).
% 12.54/12.79 cnf(matrix-6138, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13351, _u13352)), _u13353), hAPP(c_Set_Oimage(tc_prod(_u13354, _u13355), tc_prod(_u13351, _u13352), c_Product__Type_Omap__pair(_u13354, _u13351, _u13355, _u13352, _u13356, _u13357)), _u13358))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13354, _u13355)), hAPP(hAPP(c_Product__Type_OPair(_u13354, _u13355), skolem342(_u13358, _u13357, _u13356, _u13355, _u13354, _u13353, _u13352, _u13351)), skolem343(_u13358, _u13357, _u13356, _u13355, _u13354, _u13353, _u13352, _u13351))), _u13358)) )).
% 12.54/12.79 cnf(matrix-6139, plain, ( ~c_Relation_Orefl__on(_u13364, _u13366, _u13368) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13364, _u13364), tc_HOL_Obool)), _u13368), hAPP(hAPP(c_Product__Type_OSigma(_u13364, _u13364), _u13366), hAPP(c_COMBK(tc_fun(_u13364, tc_HOL_Obool), _u13364), _u13366)))) )).
% 12.54/12.79 cnf(matrix-6140, plain, ( ~c_Relation_Orefl__on(_u13364, _u13366, _u13368) | ~hBOOL(hAPP(hAPP(c_member(_u13364), _u13359), _u13366)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13364, _u13364)), hAPP(hAPP(c_Product__Type_OPair(_u13364, _u13364), _u13359), _u13359)), _u13368)) )).
% 12.54/12.79 cnf(matrix-6141, plain, ( c_Relation_Orefl__on(_u13365, _u13367, _u13369) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13365, _u13365), tc_HOL_Obool)), _u13369), hAPP(hAPP(c_Product__Type_OSigma(_u13365, _u13365), _u13367), hAPP(c_COMBK(tc_fun(_u13365, tc_HOL_Obool), _u13365), _u13367)))) | hBOOL(hAPP(hAPP(c_member(_u13365), skolem344(_u13369, _u13367, _u13365)), _u13367)) )).
% 12.54/12.79 cnf(matrix-6142, plain, ( c_Relation_Orefl__on(_u13365, _u13367, _u13369) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13365, _u13365), tc_HOL_Obool)), _u13369), hAPP(hAPP(c_Product__Type_OSigma(_u13365, _u13365), _u13367), hAPP(c_COMBK(tc_fun(_u13365, tc_HOL_Obool), _u13365), _u13367)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13365, _u13365)), hAPP(hAPP(c_Product__Type_OPair(_u13365, _u13365), skolem344(_u13369, _u13367, _u13365)), skolem344(_u13369, _u13367, _u13365))), _u13369)) )).
% 12.54/12.79 cnf(matrix-6143, plain, ( ( _u13371 = c_Orderings_Obot__class_Obot(tc_fun(_u13372, tc_HOL_Obool))) | c_Fun_Oinj__on(_u13373, _u13374, _u13375, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u13372, tc_fun(_u13373, tc_HOL_Obool)), _u13371), _u13376)) | hBOOL(hAPP(hAPP(c_member(_u13372), skolem345(_u13376, _u13375, _u13374, _u13373, _u13372, _u13371)), _u13371)) )).
% 12.54/12.79 cnf(matrix-6144, plain, ( ( _u13371 = c_Orderings_Obot__class_Obot(tc_fun(_u13372, tc_HOL_Obool))) | c_Fun_Oinj__on(_u13373, _u13374, _u13375, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u13372, tc_fun(_u13373, tc_HOL_Obool)), _u13371), _u13376)) | ~c_Fun_Oinj__on(_u13373, _u13374, _u13375, hAPP(_u13376, skolem345(_u13376, _u13375, _u13374, _u13373, _u13372, _u13371))) )).
% 12.54/12.79 cnf(matrix-6145, plain, ( c_Relation_Orefl__on(_u13377, _u13378, c_Relation_OId__on(_u13377, _u13378)) )).
% 12.54/12.79 cnf(matrix-6146, plain, ( c_Relation_Orefl__on(_u13379, c_Orderings_Obot__class_Obot(tc_fun(_u13379, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13379, _u13379), tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-6147, plain, ( ~c_Relation_Orefl__on(_u13380, _u13381, _u13382) | ~c_Relation_Orefl__on(_u13380, _u13383, _u13384) | c_Relation_Orefl__on(_u13380, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13380, tc_HOL_Obool)), _u13381), _u13383), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13380, _u13380), tc_HOL_Obool)), _u13382), _u13384)) )).
% 12.54/12.79 cnf(matrix-6148, plain, ( ~c_Relation_Orefl__on(_u13385, _u13386, _u13387) | ~c_Relation_Orefl__on(_u13385, _u13388, _u13389) | c_Relation_Orefl__on(_u13385, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13385, tc_HOL_Obool)), _u13386), _u13388), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13385, _u13385), tc_HOL_Obool)), _u13387), _u13389)) )).
% 12.54/12.79 cnf(matrix-6149, plain, ( ~c_Relation_Orefl__on(_u13390, _u13391, _u13392) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13390, _u13390)), hAPP(hAPP(c_Product__Type_OPair(_u13390, _u13390), _u13393), _u13394)), _u13392)) | hBOOL(hAPP(hAPP(c_member(_u13390), _u13394), _u13391)) )).
% 12.54/12.79 cnf(matrix-6150, plain, ( ~c_Relation_Orefl__on(_u13395, _u13396, _u13397) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13395, _u13395)), hAPP(hAPP(c_Product__Type_OPair(_u13395, _u13395), _u13398), _u13399)), _u13397)) | hBOOL(hAPP(hAPP(c_member(_u13395), _u13398), _u13396)) )).
% 12.54/12.79 cnf(matrix-6151, plain, ( ~c_Relation_Orefl__on(_u13400, _u13401, _u13402) | ~hBOOL(hAPP(hAPP(c_member(_u13400), _u13403), _u13401)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13400, _u13400)), hAPP(hAPP(c_Product__Type_OPair(_u13400, _u13400), _u13403), _u13403)), _u13402)) )).
% 12.54/12.79 cnf(matrix-6152, plain, ( ~c_Predicate_Oreflp(_u13406, _u13408) | c_Relation_Orefl__on(_u13406, c_Orderings_Otop__class_Otop(tc_fun(_u13406, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u13406, _u13406)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13406, _u13406, tc_HOL_Obool), _u13408))) )).
% 12.54/12.79 cnf(matrix-6153, plain, ( ~c_Relation_Orefl__on(_u13407, c_Orderings_Otop__class_Otop(tc_fun(_u13407, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u13407, _u13407)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13407, _u13407, tc_HOL_Obool), _u13409))) | c_Predicate_Oreflp(_u13407, _u13409) )).
% 12.54/12.79 cnf(matrix-6154, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13411, _u13411), tc_HOL_Obool)), _u13412), hAPP(hAPP(c_Product__Type_OSigma(_u13411, _u13411), _u13413), hAPP(c_COMBK(tc_fun(_u13411, tc_HOL_Obool), _u13411), _u13413)))) | c_Relation_Orefl__on(_u13411, _u13413, _u13412) | hBOOL(hAPP(hAPP(c_member(_u13411), skolem346(_u13413, _u13412, _u13411)), _u13413)) )).
% 12.54/12.79 cnf(matrix-6155, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13411, _u13411), tc_HOL_Obool)), _u13412), hAPP(hAPP(c_Product__Type_OSigma(_u13411, _u13411), _u13413), hAPP(c_COMBK(tc_fun(_u13411, tc_HOL_Obool), _u13411), _u13413)))) | c_Relation_Orefl__on(_u13411, _u13413, _u13412) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13411, _u13411)), hAPP(hAPP(c_Product__Type_OPair(_u13411, _u13411), skolem346(_u13413, _u13412, _u13411)), skolem346(_u13413, _u13412, _u13411))), _u13412)) )).
% 12.54/12.79 cnf(matrix-6156, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u13415), _u13416)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13417), hAPP(c_Set_Oimage(_u13415, _u13417, _u13418), _u13416))) | hBOOL(hAPP(hAPP(c_member(_u13415), skolem347(_u13418, _u13417, _u13416, _u13415)), _u13416)) )).
% 12.54/12.79 cnf(matrix-6157, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u13415), _u13416)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13417), hAPP(c_Set_Oimage(_u13415, _u13417, _u13418), _u13416))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13415), hAPP(c_Set_OCollect(_u13415), hAPP(hAPP(c_COMBS(_u13415, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13415), c_fconj), hAPP(hAPP(c_COMBC(_u13415, tc_fun(_u13415, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13415)), _u13416))), hAPP(hAPP(c_COMBC(_u13415, _u13417, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u13417, tc_fun(_u13417, tc_HOL_Obool), _u13415), c_fequal), _u13418)), hAPP(_u13418, skolem347(_u13418, _u13417, _u13416, _u13415))))))) )).
% 12.54/12.79 cnf(matrix-6158, plain, ( hBOOL(hAPP(hAPP(_u13420, _u13421), _u13421)) | ~c_Predicate_Oreflp(_u13419, _u13420) )).
% 12.54/12.79 cnf(matrix-6159, plain, ( ~c_Relation_Orefl__on(_u13429, _u13431, _u13433) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13429, _u13429)), _u13422), _u13433)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13429, _u13429, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13429, tc_fun(_u13429, tc_HOL_Obool), tc_fun(_u13429, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13429, tc_HOL_Obool), tc_fun(_u13429, tc_HOL_Obool)), _u13429), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13429)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13429), c_fconj), hAPP(hAPP(c_COMBC(_u13429, tc_fun(_u13429, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13429)), _u13431)))), hAPP(hAPP(c_COMBC(_u13429, tc_fun(_u13429, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13429)), _u13431))), _u13422)) )).
% 12.54/12.79 cnf(matrix-6160, plain, ( ~c_Relation_Orefl__on(_u13429, _u13431, _u13433) | ~hBOOL(hAPP(hAPP(c_member(_u13429), _u13423), _u13431)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13429, _u13429)), hAPP(hAPP(c_Product__Type_OPair(_u13429, _u13429), _u13423), _u13423)), _u13433)) )).
% 12.54/12.79 cnf(matrix-6161, plain, ( c_Relation_Orefl__on(_u13430, _u13432, _u13434) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13430, _u13430)), skolem348(_u13434, _u13432, _u13430)), _u13434)) | hBOOL(hAPP(hAPP(c_member(_u13430), skolem349(_u13434, _u13432, _u13430)), _u13432)) )).
% 12.54/12.79 cnf(matrix-6162, plain, ( c_Relation_Orefl__on(_u13430, _u13432, _u13434) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13430, _u13430)), skolem348(_u13434, _u13432, _u13430)), _u13434)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13430, _u13430)), hAPP(hAPP(c_Product__Type_OPair(_u13430, _u13430), skolem349(_u13434, _u13432, _u13430)), skolem349(_u13434, _u13432, _u13430))), _u13434)) )).
% 12.54/12.79 cnf(matrix-6163, plain, ( c_Relation_Orefl__on(_u13430, _u13432, _u13434) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13430, _u13430, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13430, tc_fun(_u13430, tc_HOL_Obool), tc_fun(_u13430, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13430, tc_HOL_Obool), tc_fun(_u13430, tc_HOL_Obool)), _u13430), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13430)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13430), c_fconj), hAPP(hAPP(c_COMBC(_u13430, tc_fun(_u13430, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13430)), _u13432)))), hAPP(hAPP(c_COMBC(_u13430, tc_fun(_u13430, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13430)), _u13432))), skolem348(_u13434, _u13432, _u13430))) | hBOOL(hAPP(hAPP(c_member(_u13430), skolem349(_u13434, _u13432, _u13430)), _u13432)) )).
% 12.54/12.79 cnf(matrix-6164, plain, ( c_Relation_Orefl__on(_u13430, _u13432, _u13434) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13430, _u13430, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13430, tc_fun(_u13430, tc_HOL_Obool), tc_fun(_u13430, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13430, tc_HOL_Obool), tc_fun(_u13430, tc_HOL_Obool)), _u13430), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13430)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13430), c_fconj), hAPP(hAPP(c_COMBC(_u13430, tc_fun(_u13430, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13430)), _u13432)))), hAPP(hAPP(c_COMBC(_u13430, tc_fun(_u13430, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13430)), _u13432))), skolem348(_u13434, _u13432, _u13430))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13430, _u13430)), hAPP(hAPP(c_Product__Type_OPair(_u13430, _u13430), skolem349(_u13434, _u13432, _u13430)), skolem349(_u13434, _u13432, _u13430))), _u13434)) )).
% 12.54/12.79 cnf(matrix-6165, plain, ( hBOOL(hAPP(_u13436, _u13437)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem350(_u13437, _u13436)), c_Int_OInteg)) )).
% 12.54/12.79 cnf(matrix-6166, plain, ( hBOOL(hAPP(_u13436, _u13437)) | ~hBOOL(hAPP(_u13436, hAPP(c_Int_OAbs__Integ, skolem350(_u13437, _u13436)))) )).
% 12.54/12.79 cnf(matrix-6167, plain, ( ( _u13439 = hAPP(c_Int_OAbs__Integ, skolem351(_u13439))) )).
% 12.54/12.79 cnf(matrix-6168, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem351(_u13439)), c_Int_OInteg)) )).
% 12.54/12.79 cnf(matrix-6169, plain, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u13440, tc_HOL_Obool) = c_Set_OBall(_u13440)) )).
% 12.54/12.79 cnf(matrix-6170, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13442), _u13441), c_Orderings_Obot__class_Obot(tc_fun(_u13442, tc_HOL_Obool)))) | hBOOL(hAPP(_u13443, _u13441)) )).
% 12.54/12.79 cnf(matrix-6171, plain, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u13449, _u13451), _u13453)) | ~hBOOL(hAPP(hAPP(c_member(_u13449), _u13444), _u13453)) | hBOOL(hAPP(_u13451, _u13444)) )).
% 12.54/12.79 cnf(matrix-6172, plain, ( hBOOL(hAPP(c_Predicate_OPowp(_u13450, _u13452), _u13454)) | hBOOL(hAPP(hAPP(c_member(_u13450), skolem352(_u13454, _u13452, _u13450)), _u13454)) )).
% 12.54/12.79 cnf(matrix-6173, plain, ( hBOOL(hAPP(c_Predicate_OPowp(_u13450, _u13452), _u13454)) | ~hBOOL(hAPP(_u13452, skolem352(_u13454, _u13452, _u13450))) )).
% 12.54/12.79 cnf(matrix-6174, plain, ( ( hAPP(c_Set_OCollect(_u13455), hAPP(hAPP(c_COMBB(tc_fun(_u13456, tc_HOL_Obool), tc_HOL_Obool, _u13455), c_HOL_OAll(_u13456)), hAPP(hAPP(c_COMBB(tc_fun(_u13456, tc_HOL_Obool), tc_fun(_u13456, tc_HOL_Obool), _u13455), hAPP(c_COMBS(_u13456, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13456), c_fimplies), hAPP(hAPP(c_COMBC(_u13456, tc_fun(_u13456, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13456)), _u13457)))), _u13458))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u13456, tc_fun(_u13455, tc_HOL_Obool)), _u13457), hAPP(hAPP(c_COMBB(tc_fun(_u13455, tc_HOL_Obool), tc_fun(_u13455, tc_HOL_Obool), _u13456), c_Set_OCollect(_u13455)), hAPP(c_COMBC(_u13455, _u13456, tc_HOL_Obool), _u13458)))) )).
% 12.54/12.79 cnf(matrix-6175, plain, ( ~c_Equiv__Relations_Ocongruent(_u13465, _u13467, _u13469, _u13471) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13465, _u13465)), _u13459), _u13469)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13465, _u13465, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13465, tc_fun(_u13465, _u13467), tc_fun(_u13465, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13467, tc_HOL_Obool), tc_fun(tc_fun(_u13465, _u13467), tc_fun(_u13465, tc_HOL_Obool)), _u13465), c_COMBB(_u13467, tc_HOL_Obool, _u13465)), hAPP(hAPP(c_COMBB(_u13467, tc_fun(_u13467, tc_HOL_Obool), _u13465), c_fequal), _u13471))), _u13471)), _u13459)) )).
% 12.54/12.79 cnf(matrix-6176, plain, ( c_Equiv__Relations_Ocongruent(_u13466, _u13468, _u13470, _u13472) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13466, _u13466)), skolem353(_u13472, _u13470, _u13468, _u13466)), _u13470)) )).
% 12.54/12.79 cnf(matrix-6177, plain, ( c_Equiv__Relations_Ocongruent(_u13466, _u13468, _u13470, _u13472) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13466, _u13466, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13466, tc_fun(_u13466, _u13468), tc_fun(_u13466, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13468, tc_HOL_Obool), tc_fun(tc_fun(_u13466, _u13468), tc_fun(_u13466, tc_HOL_Obool)), _u13466), c_COMBB(_u13468, tc_HOL_Obool, _u13466)), hAPP(hAPP(c_COMBB(_u13468, tc_fun(_u13468, tc_HOL_Obool), _u13466), c_fequal), _u13472))), _u13472)), skolem353(_u13472, _u13470, _u13468, _u13466))) )).
% 12.54/12.79 cnf(matrix-6178, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u13473, tc_fun(_u13474, tc_HOL_Obool)), _u13475), _u13476) = hAPP(c_Set_OCollect(_u13474), hAPP(hAPP(c_COMBB(tc_fun(_u13473, tc_HOL_Obool), tc_HOL_Obool, _u13474), c_HOL_OAll(_u13473)), hAPP(hAPP(c_COMBB(tc_fun(_u13473, tc_HOL_Obool), tc_fun(_u13473, tc_HOL_Obool), _u13474), hAPP(c_COMBS(_u13473, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13473), c_fimplies), hAPP(hAPP(c_COMBC(_u13473, tc_fun(_u13473, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13473)), _u13475)))), hAPP(hAPP(c_COMBC(_u13474, tc_fun(_u13473, tc_fun(_u13474, tc_HOL_Obool)), tc_fun(_u13473, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13474, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u13473, tc_fun(_u13474, tc_HOL_Obool)), tc_fun(_u13473, tc_HOL_Obool)), _u13474), c_COMBB(tc_fun(_u13474, tc_HOL_Obool), tc_HOL_Obool, _u13473)), c_member(_u13474))), _u13476))))) )).
% 12.54/12.79 cnf(matrix-6179, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u13477) | ( c_Complete__Lattice_OInf__class_OInf(_u13477, _u13478) = c_Complete__Lattice_OSup__class_OSup(_u13477, hAPP(c_Set_OCollect(_u13477), hAPP(hAPP(c_COMBB(tc_fun(_u13477, tc_HOL_Obool), tc_HOL_Obool, _u13477), c_HOL_OAll(_u13477)), hAPP(hAPP(c_COMBB(tc_fun(_u13477, tc_HOL_Obool), tc_fun(_u13477, tc_HOL_Obool), _u13477), hAPP(c_COMBS(_u13477, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13477), c_fimplies), hAPP(hAPP(c_COMBC(_u13477, tc_fun(_u13477, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13477)), _u13478)))), c_Orderings_Oord__class_Oless__eq(_u13477)))))) )).
% 12.54/12.79 cnf(matrix-6180, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u13479) | ( c_Complete__Lattice_OSup__class_OSup(_u13479, _u13480) = c_Complete__Lattice_OInf__class_OInf(_u13479, hAPP(c_Set_OCollect(_u13479), hAPP(hAPP(c_COMBB(tc_fun(_u13479, tc_HOL_Obool), tc_HOL_Obool, _u13479), c_HOL_OAll(_u13479)), hAPP(hAPP(c_COMBB(tc_fun(_u13479, tc_HOL_Obool), tc_fun(_u13479, tc_HOL_Obool), _u13479), hAPP(c_COMBS(_u13479, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13479), c_fimplies), hAPP(hAPP(c_COMBC(_u13479, tc_fun(_u13479, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13479)), _u13480)))), hAPP(c_COMBC(_u13479, _u13479, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u13479))))))) )).
% 12.54/12.79 cnf(matrix-6181, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13482), _u13483)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13484), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13482, tc_fun(_u13484, tc_HOL_Obool)), _u13483), _u13485))) | hBOOL(hAPP(hAPP(c_member(_u13482), skolem354(_u13485, _u13484, _u13483, _u13482)), _u13483)) )).
% 12.54/12.79 cnf(matrix-6182, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13482), _u13483)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13484), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13482, tc_fun(_u13484, tc_HOL_Obool)), _u13483), _u13485))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13484), hAPP(_u13485, skolem354(_u13485, _u13484, _u13483, _u13482)))) )).
% 12.54/12.79 cnf(matrix-6183, 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)), _u13488), _u13487) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem355(_u13488, _u13487)), _u13487)) )).
% 12.54/12.79 cnf(matrix-6184, 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)), _u13488), _u13487) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u13488), skolem355(_u13488, _u13487))) )).
% 12.54/12.79 cnf(matrix-6185, plain, ( ~c_Wellfounded_OwfP(_u13492, hAPP(_u13493, skolem356(_u13494, _u13493, _u13492))) | c_Wellfounded_OwfP(_u13492, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13494, tc_fun(_u13492, tc_fun(_u13492, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u13494, tc_HOL_Obool))), _u13493)) | ( hAPP(_u13493, skolem357(_u13494, _u13493, _u13492)) != hAPP(_u13493, skolem358(_u13494, _u13493, _u13492))) )).
% 12.54/12.79 cnf(matrix-6186, plain, ( ~c_Wellfounded_OwfP(_u13492, hAPP(_u13493, skolem356(_u13494, _u13493, _u13492))) | c_Wellfounded_OwfP(_u13492, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13494, tc_fun(_u13492, tc_fun(_u13492, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u13494, tc_HOL_Obool))), _u13493)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13492, tc_HOL_Obool)), c_Predicate_ODomainP(_u13492, _u13492, hAPP(_u13493, skolem357(_u13494, _u13493, _u13492)))), c_Predicate_ORangeP(_u13492, _u13492, hAPP(_u13493, skolem358(_u13494, _u13493, _u13492)))) != c_Orderings_Obot__class_Obot(tc_fun(_u13492, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-6187, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u13495, tc_HOL_Obool), _u13496) = hAPP(c_Set_OCollect(_u13495), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13495, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u13495), c_HOL_OAll(tc_fun(_u13495, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13495, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u13495, tc_HOL_Obool), tc_HOL_Obool), _u13495), hAPP(c_COMBS(tc_fun(_u13495, 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(_u13495, tc_HOL_Obool)), c_fimplies), hAPP(hAPP(c_COMBC(tc_fun(_u13495, tc_HOL_Obool), tc_fun(tc_fun(_u13495, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u13495, tc_HOL_Obool))), _u13496)))), c_member(_u13495))))) )).
% 12.54/12.79 cnf(matrix-6188, plain, ( hBOOL(hAPP(hAPP(c_member(_u13502), _u13503), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13500, _u13501, tc_fun(_u13502, tc_HOL_Obool)), _u13504), _u13499))) | ( _u13499 = hAPP(hAPP(c_Product__Type_OPair(_u13500, _u13501), skolem359(_u13504, _u13503, _u13502, _u13501, _u13500, _u13499)), skolem360(_u13504, _u13503, _u13502, _u13501, _u13500, _u13499))) )).
% 12.54/12.79 cnf(matrix-6189, plain, ( hBOOL(hAPP(hAPP(c_member(_u13502), _u13503), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13500, _u13501, tc_fun(_u13502, tc_HOL_Obool)), _u13504), _u13499))) | ~hBOOL(hAPP(hAPP(c_member(_u13502), _u13503), hAPP(hAPP(_u13504, skolem359(_u13504, _u13503, _u13502, _u13501, _u13500, _u13499)), skolem360(_u13504, _u13503, _u13502, _u13501, _u13500, _u13499)))) )).
% 12.54/12.79 cnf(matrix-6190, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13507), _u13508), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13509, _u13510, tc_fun(_u13507, tc_HOL_Obool)), _u13511), _u13512))) | ( _u13512 = hAPP(hAPP(c_Product__Type_OPair(_u13509, _u13510), skolem361(_u13512, _u13511, _u13510, _u13509, _u13508, _u13507)), skolem362(_u13512, _u13511, _u13510, _u13509, _u13508, _u13507))) )).
% 12.54/12.79 cnf(matrix-6191, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13507), _u13508), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13509, _u13510, tc_fun(_u13507, tc_HOL_Obool)), _u13511), _u13512))) | hBOOL(hAPP(hAPP(c_member(_u13507), _u13508), hAPP(hAPP(_u13511, skolem361(_u13512, _u13511, _u13510, _u13509, _u13508, _u13507)), skolem362(_u13512, _u13511, _u13510, _u13509, _u13508, _u13507)))) )).
% 12.54/12.79 cnf(matrix-6192, plain, ( ( hAPP(c_Set_Ovimage(_u13513, tc_prod(_u13514, _u13515), _u13516), hAPP(hAPP(c_Product__Type_OSigma(_u13514, _u13515), _u13517), hAPP(c_COMBK(tc_fun(_u13515, tc_HOL_Obool), _u13514), _u13518))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13513, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13513, _u13514, hAPP(c_Fun_Ocomp(tc_prod(_u13514, _u13515), _u13514, _u13513, c_Product__Type_Ofst(_u13514, _u13515)), _u13516)), _u13517)), hAPP(c_Set_Ovimage(_u13513, _u13515, hAPP(c_Fun_Ocomp(tc_prod(_u13514, _u13515), _u13515, _u13513, c_Product__Type_Osnd(_u13514, _u13515)), _u13516)), _u13518))) )).
% 12.54/12.79 cnf(matrix-6193, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13519, _u13520), tc_prod(_u13521, _u13522), tc_prod(_u13523, _u13524), c_Product__Type_Omap__pair(_u13519, _u13521, _u13520, _u13522, _u13525, _u13526)), c_Product__Type_Omap__pair(_u13523, _u13519, _u13524, _u13520, _u13527, _u13528)) = c_Product__Type_Omap__pair(_u13523, _u13521, _u13524, _u13522, hAPP(c_Fun_Ocomp(_u13519, _u13521, _u13523, _u13525), _u13527), hAPP(c_Fun_Ocomp(_u13520, _u13522, _u13524, _u13526), _u13528))) )).
% 12.54/12.79 cnf(matrix-6194, plain, ( ( c_Product__Type_Omap__pair(_u13529, _u13530, _u13531, _u13532, hAPP(c_Fun_Ocomp(_u13533, _u13530, _u13529, _u13534), _u13535), hAPP(c_Fun_Ocomp(_u13536, _u13532, _u13531, _u13537), _u13538)) = hAPP(c_Fun_Ocomp(tc_prod(_u13533, _u13536), tc_prod(_u13530, _u13532), tc_prod(_u13529, _u13531), c_Product__Type_Omap__pair(_u13533, _u13530, _u13536, _u13532, _u13534, _u13537)), c_Product__Type_Omap__pair(_u13529, _u13533, _u13531, _u13536, _u13535, _u13538))) )).
% 12.54/12.79 cnf(matrix-6195, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u13539, _u13540, _u13541, _u13542, _u13543, _u13544), hAPP(c_Product__Type_Omap__pair(_u13545, _u13539, _u13546, _u13541, _u13547, _u13548), _u13549)) = hAPP(c_Product__Type_Omap__pair(_u13545, _u13540, _u13546, _u13542, hAPP(c_Fun_Ocomp(_u13539, _u13540, _u13545, _u13543), _u13547), hAPP(c_Fun_Ocomp(_u13541, _u13542, _u13546, _u13544), _u13548)), _u13549)) )).
% 12.54/12.79 cnf(matrix-6196, plain, ( ( hAPP(c_Set_Oimage(_u13550, _u13551, _u13552), c_Orderings_Otop__class_Otop(tc_fun(_u13550, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13551, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13551, _u13553, _u13554), c_Orderings_Otop__class_Otop(tc_fun(_u13551, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13553, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13550, _u13553, hAPP(c_Fun_Ocomp(_u13551, _u13553, _u13550, _u13554), _u13552)), c_Orderings_Otop__class_Otop(tc_fun(_u13550, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u13553, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-6197, plain, ( ( hAPP(c_Set_Oimage(_u13555, _u13556, hAPP(c_Fun_Ocomp(_u13557, _u13556, _u13555, _u13558), _u13559)), _u13560) = hAPP(c_Set_Oimage(_u13557, _u13556, _u13558), hAPP(c_Set_Oimage(_u13555, _u13557, _u13559), _u13560))) )).
% 12.54/12.79 cnf(matrix-6198, plain, ( ~c_Fun_Oinj__on(_u13561, _u13562, _u13563, _u13564) | ~c_Fun_Oinj__on(_u13562, _u13565, _u13566, hAPP(c_Set_Oimage(_u13561, _u13562, _u13563), _u13564)) | c_Fun_Oinj__on(_u13561, _u13565, hAPP(c_Fun_Ocomp(_u13562, _u13565, _u13561, _u13566), _u13563), _u13564) )).
% 12.54/12.79 cnf(matrix-6199, plain, ( ~c_Fun_Oinj__on(_u13561, _u13562, _u13563, _u13564) | ~c_Fun_Oinj__on(_u13561, _u13565, hAPP(c_Fun_Ocomp(_u13562, _u13565, _u13561, _u13566), _u13563), _u13564) | c_Fun_Oinj__on(_u13562, _u13565, _u13566, hAPP(c_Set_Oimage(_u13561, _u13562, _u13563), _u13564)) )).
% 12.54/12.79 cnf(matrix-6200, plain, ( ~c_Fun_Oinj__on(_u13567, _u13568, _u13569, _u13570) | ~c_Fun_Oinj__on(_u13568, _u13571, _u13572, hAPP(c_Set_Oimage(_u13567, _u13568, _u13569), _u13570)) | c_Fun_Oinj__on(_u13567, _u13571, hAPP(c_Fun_Ocomp(_u13568, _u13571, _u13567, _u13572), _u13569), _u13570) )).
% 12.54/12.79 cnf(matrix-6201, plain, ( ~c_Fun_Oinj__on(_u13573, _u13574, hAPP(c_Fun_Ocomp(_u13575, _u13574, _u13573, _u13576), _u13577), _u13578) | c_Fun_Oinj__on(_u13575, _u13574, _u13576, hAPP(c_Set_Oimage(_u13573, _u13575, _u13577), _u13578)) )).
% 12.54/12.79 cnf(matrix-6202, plain, ( ~c_Fun_Oinj__on(_u13579, _u13580, hAPP(c_Fun_Ocomp(_u13581, _u13580, _u13579, _u13582), _u13583), _u13584) | c_Fun_Oinj__on(_u13579, _u13581, _u13583, _u13584) )).
% 12.54/12.79 cnf(matrix-6203, plain, ( ~c_Fun_Oinj__on(_u13585, _u13586, _u13587, c_Orderings_Otop__class_Otop(tc_fun(_u13585, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u13588, _u13585, _u13589, c_Orderings_Otop__class_Otop(tc_fun(_u13588, tc_HOL_Obool))) | c_Fun_Oinj__on(_u13588, _u13586, hAPP(c_Fun_Ocomp(_u13585, _u13586, _u13588, _u13587), _u13589), c_Orderings_Otop__class_Otop(tc_fun(_u13588, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-6204, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u13590, _u13591, _u13592, _u13593), _u13594), _u13595) = hAPP(_u13593, hAPP(_u13594, _u13595))) )).
% 12.54/12.79 cnf(matrix-6205, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u13596, _u13597, _u13598, hAPP(c_COMBK(_u13597, _u13596), _u13599)), _u13600), _u13601) = _u13599) )).
% 12.54/12.79 cnf(matrix-6206, plain, ( ( hAPP(c_Fun_Ocomp(_u13603, _u13603, _u13603, hAPP(_u13604, _u13605)), hAPP(_u13604, _u13605)) = hAPP(_u13604, _u13605)) | ~c_Finite__Set_Ofun__left__comm__idem(_u13602, _u13603, _u13604) )).
% 12.54/12.79 cnf(matrix-6207, plain, ( ( hAPP(c_Fun_Ocomp(_u13607, _u13607, _u13607, hAPP(_u13608, _u13609)), hAPP(_u13608, _u13610)) = hAPP(c_Fun_Ocomp(_u13607, _u13607, _u13607, hAPP(_u13608, _u13610)), hAPP(_u13608, _u13609))) | ~c_Finite__Set_Ofun__left__comm(_u13606, _u13607, _u13608) )).
% 12.54/12.79 cnf(matrix-6208, plain, ( ( hAPP(_u13615, hAPP(_u13616, _u13611)) = hAPP(_u13618, hAPP(_u13619, _u13611))) | ( hAPP(c_Fun_Ocomp(_u13612, _u13613, _u13614, _u13615), _u13616) != hAPP(c_Fun_Ocomp(_u13617, _u13613, _u13614, _u13618), _u13619)) )).
% 12.54/12.79 cnf(matrix-6209, plain, ( ( hAPP(_u13623, hAPP(_u13624, _u13628)) = hAPP(_u13626, hAPP(_u13627, _u13628))) | ( hAPP(c_Fun_Ocomp(_u13620, _u13621, _u13622, _u13623), _u13624) != hAPP(c_Fun_Ocomp(_u13625, _u13621, _u13622, _u13626), _u13627)) )).
% 12.54/12.79 cnf(matrix-6210, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u13629, _u13630, _u13631, _u13632), _u13633), _u13634) = hAPP(_u13632, hAPP(_u13633, _u13634))) )).
% 12.54/12.79 cnf(matrix-6211, plain, ( ( hAPP(c_Fun_Ocomp(_u13635, _u13636, _u13637, _u13638), hAPP(c_Fun_Ocomp(_u13639, _u13635, _u13637, _u13640), _u13641)) = hAPP(c_Fun_Ocomp(_u13639, _u13636, _u13637, hAPP(c_Fun_Ocomp(_u13635, _u13636, _u13639, _u13638), _u13640)), _u13641)) )).
% 12.54/12.79 cnf(matrix-6212, plain, ( ( hAPP(_u13645, hAPP(_u13646, _u13648)) = hAPP(_u13647, _u13648)) | ( hAPP(c_Fun_Ocomp(_u13642, _u13643, _u13644, _u13645), _u13646) != _u13647) )).
% 12.54/12.79 cnf(matrix-6213, plain, ( ( hAPP(_u13649, hAPP(_u13650, _u13651)) != hAPP(_u13652, hAPP(_u13653, _u13654))) | ( hAPP(hAPP(c_Fun_Ocomp(_u13655, _u13656, _u13657, _u13649), _u13650), _u13651) = hAPP(hAPP(c_Fun_Ocomp(_u13658, _u13656, _u13659, _u13652), _u13653), _u13654)) )).
% 12.54/12.79 cnf(matrix-6214, plain, ( ( hAPP(c_Fun_Ocomp(_u13660, _u13661, _u13662, _u13663), c_Fun_Ofun__upd(_u13662, _u13660, _u13664, _u13665, _u13666)) = c_Fun_Ofun__upd(_u13662, _u13661, hAPP(c_Fun_Ocomp(_u13660, _u13661, _u13662, _u13663), _u13664), _u13665, hAPP(_u13663, _u13666))) )).
% 12.54/12.79 cnf(matrix-6215, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u13667, _u13668, _u13669, _u13670), hAPP(c_Product__Type_Oapsnd(_u13671, _u13667, _u13669, _u13672), _u13673)) = hAPP(c_Product__Type_Oapsnd(_u13671, _u13668, _u13669, hAPP(c_Fun_Ocomp(_u13667, _u13668, _u13671, _u13670), _u13672)), _u13673)) )).
% 12.54/12.79 cnf(matrix-6216, plain, ( ( hAPP(c_Product__Type_Oapfst(_u13674, _u13675, _u13676, _u13677), hAPP(c_Product__Type_Oapfst(_u13678, _u13674, _u13676, _u13679), _u13680)) = hAPP(c_Product__Type_Oapfst(_u13678, _u13675, _u13676, hAPP(c_Fun_Ocomp(_u13674, _u13675, _u13678, _u13677), _u13679)), _u13680)) )).
% 12.54/12.79 cnf(matrix-6217, plain, ( ( hAPP(c_Set_Ovimage(_u13681, _u13682, hAPP(c_Fun_Ocomp(_u13683, _u13682, _u13681, _u13684), _u13685)), _u13686) = hAPP(c_Set_Ovimage(_u13681, _u13683, _u13685), hAPP(c_Set_Ovimage(_u13683, _u13682, _u13684), _u13686))) )).
% 12.54/12.79 cnf(matrix-6218, plain, ( ( hAPP(c_Fun_Ocomp(_u13687, _u13688, _u13687, _u13689), c_Fun_Oid(_u13687)) = _u13689) )).
% 12.54/12.79 cnf(matrix-6219, plain, ( ( hAPP(c_Fun_Ocomp(_u13690, _u13690, _u13691, c_Fun_Oid(_u13690)), _u13692) = _u13692) )).
% 12.54/12.79 cnf(matrix-6220, plain, ( ( hAPP(_u13696, hAPP(_u13697, _u13699)) = hAPP(_u13698, _u13699)) | ( hAPP(c_Fun_Ocomp(_u13693, _u13694, _u13695, _u13696), _u13697) != hAPP(c_Fun_Ocomp(_u13694, _u13694, _u13695, c_Fun_Oid(_u13694)), _u13698)) )).
% 12.54/12.79 cnf(matrix-6221, plain, ( ~class_Groups_Ocomm__monoid__add(_u13700) | ~c_Fun_Oinj__on(_u13701, _u13702, _u13703, _u13704) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13702, _u13700), _u13705), hAPP(c_Set_Oimage(_u13701, _u13702, _u13703), _u13704)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13701, _u13700), hAPP(c_Fun_Ocomp(_u13702, _u13700, _u13701, _u13705), _u13703)), _u13704)) )).
% 12.54/12.79 cnf(matrix-6222, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13706) | ~c_Fun_Oinj__on(_u13707, _u13708, _u13709, _u13710) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13708, _u13706), _u13711), hAPP(c_Set_Oimage(_u13707, _u13708, _u13709), _u13710)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13707, _u13706), hAPP(c_Fun_Ocomp(_u13708, _u13706, _u13707, _u13711), _u13709)), _u13710)) )).
% 12.54/12.79 cnf(matrix-6223, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13712) | ~c_Fun_Oinj__on(_u13713, _u13714, _u13715, _u13716) | ( _u13717 != hAPP(c_Set_Oimage(_u13713, _u13714, _u13715), _u13716)) | ( _u13718 != hAPP(c_Fun_Ocomp(_u13714, _u13712, _u13713, _u13719), _u13715)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13714, _u13712), _u13719), _u13717) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13713, _u13712), _u13718), _u13716)) )).
% 12.54/12.79 cnf(matrix-6224, plain, ( ~class_Groups_Ocomm__monoid__add(_u13720) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13721), _u13722)) | ~c_Fun_Oinj__on(_u13721, _u13721, _u13723, _u13722) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13721, _u13720), _u13724), hAPP(c_Set_Oimage(_u13721, _u13721, _u13723), _u13722)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13721, _u13720), hAPP(c_Fun_Ocomp(_u13721, _u13720, _u13721, _u13724), _u13723)), _u13722)) )).
% 12.54/12.79 cnf(matrix-6225, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13725) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13726), _u13727)) | ~c_Fun_Oinj__on(_u13726, _u13726, _u13728, _u13727) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13726, _u13725), _u13729), hAPP(c_Set_Oimage(_u13726, _u13726, _u13728), _u13727)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13726, _u13725), hAPP(c_Fun_Ocomp(_u13726, _u13725, _u13726, _u13729), _u13728)), _u13727)) )).
% 12.54/12.79 cnf(matrix-6226, plain, ( ~c_Fun_Oinj__on(_u13730, _u13731, _u13732, hAPP(c_Set_Oimage(_u13733, _u13730, _u13734), _u13735)) | ~c_Fun_Oinj__on(_u13733, _u13730, _u13734, _u13735) | ~hBOOL(hAPP(hAPP(c_member(_u13731), _u13736), hAPP(c_Set_Oimage(_u13730, _u13731, _u13732), hAPP(c_Set_Oimage(_u13733, _u13730, _u13734), _u13735)))) | ( hAPP(c_Fun_Othe__inv__into(_u13733, _u13731, _u13735, hAPP(c_Fun_Ocomp(_u13730, _u13731, _u13733, _u13732), _u13734)), _u13736) = hAPP(hAPP(c_Fun_Ocomp(_u13730, _u13733, _u13731, c_Fun_Othe__inv__into(_u13733, _u13730, _u13735, _u13734)), c_Fun_Othe__inv__into(_u13730, _u13731, hAPP(c_Set_Oimage(_u13733, _u13730, _u13734), _u13735), _u13732)), _u13736)) )).
% 12.54/12.79 cnf(matrix-6227, plain, ( ~class_Groups_Oab__semigroup__mult(_u13737) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13738), _u13739)) | ~c_Fun_Oinj__on(_u13738, _u13740, _u13741, _u13739) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13737, _u13740, c_Groups_Otimes__class_Otimes(_u13737)), _u13742), _u13743), hAPP(c_Set_Oimage(_u13738, _u13740, _u13741), _u13739)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13737, _u13738, c_Groups_Otimes__class_Otimes(_u13737)), hAPP(c_Fun_Ocomp(_u13740, _u13737, _u13738, _u13742), _u13741)), _u13743), _u13739)) )).
% 12.54/12.79 cnf(matrix-6228, plain, ( ~c_Finite__Set_Ofolding(_u13744, _u13745, _u13746, _u13747) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13744), _u13748)) | ~hBOOL(hAPP(hAPP(c_member(_u13744), _u13749), _u13748)) | ( hAPP(_u13747, _u13748) = hAPP(c_Fun_Ocomp(_u13745, _u13745, _u13745, hAPP(_u13747, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13744, tc_HOL_Obool)), _u13748), hAPP(hAPP(c_Set_Oinsert(_u13744), _u13749), c_Orderings_Obot__class_Obot(tc_fun(_u13744, tc_HOL_Obool)))))), hAPP(_u13746, _u13749))) )).
% 12.54/12.79 cnf(matrix-6229, plain, ( ~c_Finite__Set_Ofolding__image(_u13750, _u13751, _u13752, _u13753, _u13754) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13751), _u13755)) | ~c_Fun_Oinj__on(_u13751, _u13751, _u13756, _u13755) | ( hAPP(hAPP(_u13754, _u13757), hAPP(c_Set_Oimage(_u13751, _u13751, _u13756), _u13755)) = hAPP(hAPP(_u13754, hAPP(c_Fun_Ocomp(_u13751, _u13750, _u13751, _u13757), _u13756)), _u13755)) )).
% 12.54/12.79 cnf(matrix-6230, plain, ( ~c_Finite__Set_Ofolding(_u13758, _u13759, _u13760, _u13761) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13758), _u13762)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13758), _u13763)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13758, tc_HOL_Obool)), _u13762), _u13763) != c_Orderings_Obot__class_Obot(tc_fun(_u13758, tc_HOL_Obool))) | ( hAPP(_u13761, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13758, tc_HOL_Obool)), _u13762), _u13763)) = hAPP(c_Fun_Ocomp(_u13759, _u13759, _u13759, hAPP(_u13761, _u13762)), hAPP(_u13761, _u13763))) )).
% 12.54/12.79 cnf(matrix-6231, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13764, _u13765), _u13764, tc_prod(_u13766, _u13767), c_Product__Type_Ofst(_u13764, _u13765)), c_Product__Type_Omap__pair(_u13766, _u13764, _u13767, _u13765, _u13768, _u13769)) = hAPP(c_Fun_Ocomp(_u13766, _u13764, tc_prod(_u13766, _u13767), _u13768), c_Product__Type_Ofst(_u13766, _u13767))) )).
% 12.54/12.79 cnf(matrix-6232, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13770, tc_fun(_u13771, tc_HOL_Obool)), _u13772), hAPP(c_Fun_Ocomp(_u13773, tc_fun(_u13771, tc_HOL_Obool), _u13770, _u13774), _u13775)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13773, tc_fun(_u13771, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13770, _u13773, _u13775), _u13772)), _u13774)) )).
% 12.54/12.79 cnf(matrix-6233, plain, ( ( hAPP(c_Fun_Ocomp(_u13777, _u13777, _u13780, hAPP(_u13778, _u13781)), hAPP(c_Fun_Ocomp(_u13777, _u13777, _u13780, hAPP(_u13778, _u13782)), _u13783)) = hAPP(c_Fun_Ocomp(_u13777, _u13777, _u13780, hAPP(_u13778, _u13782)), hAPP(c_Fun_Ocomp(_u13777, _u13777, _u13780, hAPP(_u13778, _u13781)), _u13783))) | ~c_Finite__Set_Ofolding(_u13776, _u13777, _u13778, _u13779) )).
% 12.54/12.79 cnf(matrix-6234, plain, ( ( hAPP(c_Fun_Ocomp(_u13785, _u13785, _u13785, hAPP(_u13786, _u13788)), hAPP(_u13786, _u13789)) = hAPP(c_Fun_Ocomp(_u13785, _u13785, _u13785, hAPP(_u13786, _u13789)), hAPP(_u13786, _u13788))) | ~c_Finite__Set_Ofolding(_u13784, _u13785, _u13786, _u13787) )).
% 12.54/12.79 cnf(matrix-6235, plain, ( ~c_Finite__Set_Ofolding(_u13790, _u13791, _u13792, _u13793) | ( hAPP(c_Fun_Ocomp(_u13794, _u13795, _u13796, _u13797), hAPP(c_Fun_Ocomp(_u13798, _u13794, _u13796, _u13799), _u13800)) = hAPP(c_Fun_Ocomp(_u13798, _u13795, _u13796, hAPP(c_Fun_Ocomp(_u13794, _u13795, _u13798, _u13797), _u13799)), _u13800)) )).
% 12.54/12.79 cnf(matrix-6236, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13801, _u13802), _u13802, tc_prod(_u13803, _u13804), c_Product__Type_Osnd(_u13801, _u13802)), c_Product__Type_Omap__pair(_u13803, _u13801, _u13804, _u13802, _u13805, _u13806)) = hAPP(c_Fun_Ocomp(_u13804, _u13802, tc_prod(_u13803, _u13804), _u13806), c_Product__Type_Osnd(_u13803, _u13804))) )).
% 12.54/12.79 cnf(matrix-6237, plain, ( ~c_Finite__Set_Ofolding__image(_u13807, _u13808, _u13809, _u13810, _u13811) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13808), _u13812)) | ( hAPP(hAPP(_u13811, hAPP(hAPP(c_COMBS(_u13808, _u13807, _u13807), hAPP(hAPP(c_COMBB(_u13807, tc_fun(_u13807, _u13807), _u13808), _u13809), _u13813)), _u13814)), _u13812) = hAPP(hAPP(_u13809, hAPP(hAPP(_u13811, _u13813), _u13812)), hAPP(hAPP(_u13811, _u13814), _u13812))) )).
% 12.54/12.79 cnf(matrix-6238, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13815, _u13816, _u13817), hAPP(c_Fun_Ocomp(_u13818, tc_fun(_u13816, _u13817), _u13815, _u13819), _u13820)), _u13821) = hAPP(hAPP(_u13819, hAPP(_u13820, hAPP(c_Product__Type_Ofst(_u13815, _u13816), _u13821))), hAPP(c_Product__Type_Osnd(_u13815, _u13816), _u13821))) )).
% 12.54/12.79 cnf(matrix-6239, plain, ( ~c_Finite__Set_Ofolding(_u13822, _u13823, _u13824, _u13825) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13822), _u13826)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13822), _u13827)) | ( hAPP(c_Fun_Ocomp(_u13823, _u13823, _u13828, hAPP(_u13825, _u13827)), hAPP(c_Fun_Ocomp(_u13823, _u13823, _u13828, hAPP(_u13825, _u13826)), _u13829)) = hAPP(c_Fun_Ocomp(_u13823, _u13823, _u13828, hAPP(_u13825, _u13826)), hAPP(c_Fun_Ocomp(_u13823, _u13823, _u13828, hAPP(_u13825, _u13827)), _u13829))) )).
% 12.54/12.79 cnf(matrix-6240, plain, ( ~c_Finite__Set_Ofolding(_u13830, _u13831, _u13832, _u13833) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13830), _u13834)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13830), _u13835)) | ( hAPP(c_Fun_Ocomp(_u13831, _u13831, _u13831, hAPP(_u13833, _u13835)), hAPP(_u13833, _u13834)) = hAPP(c_Fun_Ocomp(_u13831, _u13831, _u13831, hAPP(_u13833, _u13834)), hAPP(_u13833, _u13835))) )).
% 12.54/12.79 cnf(matrix-6241, plain, ( ~c_Finite__Set_Ofolding(_u13836, _u13837, _u13838, _u13839) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13836), _u13840)) | ( hAPP(c_Fun_Ocomp(_u13837, _u13837, _u13841, hAPP(_u13838, _u13842)), hAPP(c_Fun_Ocomp(_u13837, _u13837, _u13841, hAPP(_u13839, _u13840)), _u13843)) = hAPP(c_Fun_Ocomp(_u13837, _u13837, _u13841, hAPP(_u13839, _u13840)), hAPP(c_Fun_Ocomp(_u13837, _u13837, _u13841, hAPP(_u13838, _u13842)), _u13843))) )).
% 12.54/12.79 cnf(matrix-6242, plain, ( ~c_Finite__Set_Ofolding(_u13844, _u13845, _u13846, _u13847) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13844), _u13848)) | ( hAPP(c_Fun_Ocomp(_u13845, _u13845, _u13845, hAPP(_u13846, _u13849)), hAPP(_u13847, _u13848)) = hAPP(c_Fun_Ocomp(_u13845, _u13845, _u13845, hAPP(_u13847, _u13848)), hAPP(_u13846, _u13849))) )).
% 12.54/12.79 cnf(matrix-6243, plain, ( ~c_Finite__Set_Ofolding(_u13850, _u13851, _u13852, _u13853) | ( hAPP(_u13853, c_Orderings_Obot__class_Obot(tc_fun(_u13850, tc_HOL_Obool))) = c_Fun_Oid(_u13851)) )).
% 12.54/12.79 cnf(matrix-6244, plain, ( ~c_Finite__Set_Ofolding(_u13854, _u13855, _u13856, _u13857) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13854), _u13858)) | ( hAPP(hAPP(_u13857, _u13858), _u13859) = hAPP(hAPP(c_Finite__Set_Ofold(_u13854, _u13855, _u13856), _u13859), _u13858)) )).
% 12.54/12.79 cnf(matrix-6245, plain, ( ~c_Finite__Set_Ofolding__image(_u13860, _u13861, _u13862, _u13863, _u13864) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13861), _u13865)) | ( hAPP(hAPP(_u13864, _u13866), _u13865) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13860, _u13861, _u13862), _u13866), _u13863), _u13865)) )).
% 12.54/12.79 cnf(matrix-6246, plain, ( ~c_Finite__Set_Ofolding(_u13867, _u13868, _u13869, _u13870) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13867), _u13871)) | hBOOL(hAPP(hAPP(c_member(_u13867), _u13872), _u13871)) | ( hAPP(_u13870, hAPP(hAPP(c_Set_Oinsert(_u13867), _u13872), _u13871)) = hAPP(c_Fun_Ocomp(_u13868, _u13868, _u13868, hAPP(_u13870, _u13871)), hAPP(_u13869, _u13872))) )).
% 12.54/12.79 cnf(matrix-6247, plain, ( ~c_Finite__Set_Ofolding(_u13873, _u13874, _u13875, _u13876) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13873), _u13877)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13873), _u13878)) | ( hAPP(c_Fun_Ocomp(_u13874, _u13874, _u13874, hAPP(_u13876, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13873, tc_HOL_Obool)), _u13877), _u13878))), hAPP(_u13876, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13873, tc_HOL_Obool)), _u13877), _u13878))) = hAPP(c_Fun_Ocomp(_u13874, _u13874, _u13874, hAPP(_u13876, _u13877)), hAPP(_u13876, _u13878))) )).
% 12.54/12.79 cnf(matrix-6248, plain, ( ~c_Finite__Set_Ofolding(_u13879, _u13880, _u13881, _u13882) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13879), _u13883)) | ( hAPP(_u13882, hAPP(hAPP(c_Set_Oinsert(_u13879), _u13884), _u13883)) = hAPP(c_Fun_Ocomp(_u13880, _u13880, _u13880, hAPP(_u13882, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13879, tc_HOL_Obool)), _u13883), hAPP(hAPP(c_Set_Oinsert(_u13879), _u13884), c_Orderings_Obot__class_Obot(tc_fun(_u13879, tc_HOL_Obool)))))), hAPP(_u13881, _u13884))) )).
% 12.54/12.79 cnf(matrix-6249, plain, ( ~class_Groups_Ocomm__monoid__add(_u13887) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13888), _u13889)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13892, _u13887), _u13891), hAPP(c_Set_Oimage(_u13888, _u13892, _u13890), _u13889)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13888, _u13887), hAPP(c_Fun_Ocomp(_u13892, _u13887, _u13888, _u13891), _u13890)), _u13889)) | hBOOL(hAPP(hAPP(c_member(_u13888), skolem363(_u13892, _u13891, _u13890, _u13889, _u13888, _u13887)), _u13889)) )).
% 12.54/12.79 cnf(matrix-6250, plain, ( ~class_Groups_Ocomm__monoid__add(_u13887) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13888), _u13889)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13892, _u13887), _u13891), hAPP(c_Set_Oimage(_u13888, _u13892, _u13890), _u13889)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13888, _u13887), hAPP(c_Fun_Ocomp(_u13892, _u13887, _u13888, _u13891), _u13890)), _u13889)) | hBOOL(hAPP(hAPP(c_member(_u13888), skolem364(_u13892, _u13891, _u13890, _u13889, _u13888, _u13887)), _u13889)) )).
% 12.54/12.79 cnf(matrix-6251, plain, ( ~class_Groups_Ocomm__monoid__add(_u13887) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13888), _u13889)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13892, _u13887), _u13891), hAPP(c_Set_Oimage(_u13888, _u13892, _u13890), _u13889)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13888, _u13887), hAPP(c_Fun_Ocomp(_u13892, _u13887, _u13888, _u13891), _u13890)), _u13889)) | ( skolem363(_u13892, _u13891, _u13890, _u13889, _u13888, _u13887) != skolem364(_u13892, _u13891, _u13890, _u13889, _u13888, _u13887)) )).
% 12.54/12.79 cnf(matrix-6252, plain, ( ~class_Groups_Ocomm__monoid__add(_u13887) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13888), _u13889)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13892, _u13887), _u13891), hAPP(c_Set_Oimage(_u13888, _u13892, _u13890), _u13889)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13888, _u13887), hAPP(c_Fun_Ocomp(_u13892, _u13887, _u13888, _u13891), _u13890)), _u13889)) | ( hAPP(_u13890, skolem363(_u13892, _u13891, _u13890, _u13889, _u13888, _u13887)) = hAPP(_u13890, skolem364(_u13892, _u13891, _u13890, _u13889, _u13888, _u13887))) )).
% 12.54/12.79 cnf(matrix-6253, plain, ( ~class_Groups_Ocomm__monoid__add(_u13887) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13888), _u13889)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13892, _u13887), _u13891), hAPP(c_Set_Oimage(_u13888, _u13892, _u13890), _u13889)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13888, _u13887), hAPP(c_Fun_Ocomp(_u13892, _u13887, _u13888, _u13891), _u13890)), _u13889)) | ( hAPP(_u13891, hAPP(_u13890, skolem363(_u13892, _u13891, _u13890, _u13889, _u13888, _u13887))) != c_Groups_Ozero__class_Ozero(_u13887)) )).
% 12.54/12.79 cnf(matrix-6254, plain, ( ~c_Finite__Set_Ofolding__idem(_u13893, _u13894, _u13895, _u13896) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13893), _u13897)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13893), _u13898)) | ( hAPP(_u13896, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13893, tc_HOL_Obool)), _u13897), _u13898)) = hAPP(c_Fun_Ocomp(_u13894, _u13894, _u13894, hAPP(_u13896, _u13897)), hAPP(_u13896, _u13898))) )).
% 12.54/12.79 cnf(matrix-6255, plain, ( ~c_Finite__Set_Ofolding__idem(_u13899, _u13900, _u13901, _u13902) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13899), _u13903)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13899, tc_HOL_Obool)), _u13904), _u13903)) | ( hAPP(c_Fun_Ocomp(_u13900, _u13900, _u13900, hAPP(_u13902, _u13903)), hAPP(_u13902, _u13904)) = hAPP(_u13902, _u13903)) )).
% 12.54/12.79 cnf(matrix-6256, plain, ( ( hAPP(c_Fun_Ocomp(_u13906, _u13906, _u13909, hAPP(_u13907, _u13910)), hAPP(c_Fun_Ocomp(_u13906, _u13906, _u13909, hAPP(_u13907, _u13910)), _u13911)) = hAPP(c_Fun_Ocomp(_u13906, _u13906, _u13909, hAPP(_u13907, _u13910)), _u13911)) | ~c_Finite__Set_Ofolding__idem(_u13905, _u13906, _u13907, _u13908) )).
% 12.54/12.79 cnf(matrix-6257, plain, ( ( hAPP(c_Fun_Ocomp(_u13913, _u13913, _u13913, hAPP(_u13914, _u13916)), hAPP(_u13914, _u13916)) = hAPP(_u13914, _u13916)) | ~c_Finite__Set_Ofolding__idem(_u13912, _u13913, _u13914, _u13915) )).
% 12.54/12.79 cnf(matrix-6258, plain, ( ~c_Finite__Set_Ofolding__idem(_u13917, _u13918, _u13919, _u13920) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13917), _u13921)) | ~hBOOL(hAPP(hAPP(c_member(_u13917), _u13922), _u13921)) | ( hAPP(c_Fun_Ocomp(_u13918, _u13918, _u13918, hAPP(_u13920, _u13921)), hAPP(_u13919, _u13922)) = hAPP(_u13920, _u13921)) )).
% 12.54/12.79 cnf(matrix-6259, plain, ( ~c_Finite__Set_Ofolding__idem(_u13923, _u13924, _u13925, _u13926) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13923), _u13927)) | ( hAPP(_u13926, hAPP(hAPP(c_Set_Oinsert(_u13923), _u13928), _u13927)) = hAPP(c_Fun_Ocomp(_u13924, _u13924, _u13924, hAPP(_u13926, _u13927)), hAPP(_u13925, _u13928))) )).
% 12.54/12.79 cnf(matrix-6260, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13930) | ~c_Fun_Oinj__on(_u13931, _u13932, _u13933, _u13934) | ( _u13935 != hAPP(c_Set_Oimage(_u13931, _u13932, _u13933), _u13934)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13932, _u13930), _u13937), _u13935) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13931, _u13930), _u13936), _u13934)) | hBOOL(hAPP(hAPP(c_member(_u13931), skolem365(_u13937, _u13936, _u13935, _u13934, _u13933, _u13932, _u13931, _u13930)), _u13934)) )).
% 12.54/12.79 cnf(matrix-6261, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13930) | ~c_Fun_Oinj__on(_u13931, _u13932, _u13933, _u13934) | ( _u13935 != hAPP(c_Set_Oimage(_u13931, _u13932, _u13933), _u13934)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13932, _u13930), _u13937), _u13935) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13931, _u13930), _u13936), _u13934)) | ( hAPP(_u13936, skolem365(_u13937, _u13936, _u13935, _u13934, _u13933, _u13932, _u13931, _u13930)) != hAPP(hAPP(c_Fun_Ocomp(_u13932, _u13930, _u13931, _u13937), _u13933), skolem365(_u13937, _u13936, _u13935, _u13934, _u13933, _u13932, _u13931, _u13930))) )).
% 12.54/12.79 cnf(matrix-6262, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u13938, _u13939), hAPP(c_Product__Type_Oprod_Oprod__case(_u13938, _u13939, tc_HOL_Obool), _u13940)) = c_Hilbert__Choice_OEps(tc_prod(_u13938, _u13939), hAPP(hAPP(c_COMBS(tc_prod(_u13938, _u13939), _u13939, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u13938, tc_fun(_u13939, tc_HOL_Obool), tc_prod(_u13938, _u13939)), _u13940), c_Product__Type_Ofst(_u13938, _u13939))), c_Product__Type_Osnd(_u13938, _u13939)))) )).
% 12.54/12.79 cnf(matrix-6263, plain, ( c_Wellfounded_Owf(_u13942, _u13943) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13942, tc_HOL_Obool)), skolem366(_u13943, _u13942)), hAPP(c_Relation_OImage(_u13942, _u13942, _u13943), skolem366(_u13943, _u13942)))) )).
% 12.54/12.79 cnf(matrix-6264, plain, ( c_Wellfounded_Owf(_u13942, _u13943) | ( skolem366(_u13943, _u13942) != c_Orderings_Obot__class_Obot(tc_fun(_u13942, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-6265, plain, ( ~hBOOL(hAPP(_u13945, _u13944)) | hBOOL(hAPP(_u13945, c_Hilbert__Choice_OEps(_u13946, _u13945))) )).
% 12.54/12.79 cnf(matrix-6266, plain, ( ~hBOOL(hAPP(_u13947, _u13948)) | hBOOL(hAPP(_u13947, c_Hilbert__Choice_OEps(_u13949, _u13947))) )).
% 12.54/12.79 cnf(matrix-6267, plain, ( ( c_Hilbert__Choice_OEps(_u13950, hAPP(c_fequal, _u13951)) = _u13951) )).
% 12.54/12.79 cnf(matrix-6268, plain, ( ( c_Hilbert__Choice_OEps(_u13952, hAPP(hAPP(c_COMBC(_u13952, _u13952, tc_HOL_Obool), c_fequal), _u13953)) = _u13953) )).
% 12.54/12.79 cnf(matrix-6269, plain, ( ~hBOOL(hAPP(_u13958, c_Hilbert__Choice_OEps(_u13960, _u13958))) | hBOOL(hAPP(_u13958, skolem367(_u13960, _u13958))) )).
% 12.54/12.79 cnf(matrix-6270, plain, ( ~hBOOL(hAPP(_u13959, _u13955)) | hBOOL(hAPP(_u13959, c_Hilbert__Choice_OEps(_u13961, _u13959))) )).
% 12.54/12.79 cnf(matrix-6271, plain, ( ~hBOOL(hAPP(_u13963, _u13962)) | hBOOL(hAPP(_u13963, c_Hilbert__Choice_OEps(_u13964, _u13963))) )).
% 12.54/12.79 cnf(matrix-6272, plain, ( ~hBOOL(hAPP(_u13966, _u13965)) | ( _u13967 != c_Hilbert__Choice_OEps(_u13968, _u13966)) | hBOOL(hAPP(_u13966, _u13967)) )).
% 12.54/12.79 cnf(matrix-6273, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u13969, _u13970), _u13971) = c_Hilbert__Choice_OEps(tc_prod(_u13969, _u13970), hAPP(c_Product__Type_Oprod_Oprod__case(_u13969, _u13970, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13970, tc_prod(_u13969, _u13970)), tc_fun(_u13970, tc_HOL_Obool), _u13969), hAPP(c_COMBB(tc_prod(_u13969, _u13970), tc_HOL_Obool, _u13970), _u13971)), c_Product__Type_OPair(_u13969, _u13970))))) )).
% 12.54/12.79 cnf(matrix-6274, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u13972, _u13973), hAPP(c_Product__Type_Oprod_Oprod__case(_u13972, _u13973, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13972, tc_fun(_u13973, tc_HOL_Obool), tc_fun(_u13973, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13973, tc_HOL_Obool), tc_fun(_u13973, tc_HOL_Obool)), _u13972), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13973)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13972), c_fconj), hAPP(c_fequal, _u13974)))), hAPP(c_fequal, _u13975)))) = hAPP(hAPP(c_Product__Type_OPair(_u13972, _u13973), _u13974), _u13975)) )).
% 12.54/12.79 cnf(matrix-6275, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13977, tc_HOL_Obool)), _u13978), _u13979)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13977, _u13980), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13977, _u13980), _u13978), _u13981)), hAPP(hAPP(c_Product__Type_OSigma(_u13977, _u13980), _u13979), _u13982))) | hBOOL(hAPP(hAPP(c_member(_u13977), skolem368(_u13982, _u13981, _u13980, _u13979, _u13978, _u13977)), _u13978)) )).
% 12.54/12.79 cnf(matrix-6276, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13977, tc_HOL_Obool)), _u13978), _u13979)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13977, _u13980), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13977, _u13980), _u13978), _u13981)), hAPP(hAPP(c_Product__Type_OSigma(_u13977, _u13980), _u13979), _u13982))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13980, tc_HOL_Obool)), hAPP(_u13981, skolem368(_u13982, _u13981, _u13980, _u13979, _u13978, _u13977))), hAPP(_u13982, skolem368(_u13982, _u13981, _u13980, _u13979, _u13978, _u13977)))) )).
% 12.54/12.79 cnf(matrix-6277, plain, ( hBOOL(hAPP(hAPP(c_member(_u13984), _u13985), c_Wellfounded_Oacc(_u13984, _u13986))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13984, _u13984)), hAPP(hAPP(c_Product__Type_OPair(_u13984, _u13984), skolem369(_u13986, _u13985, _u13984)), _u13985)), _u13986)) )).
% 12.54/12.79 cnf(matrix-6278, plain, ( hBOOL(hAPP(hAPP(c_member(_u13984), _u13985), c_Wellfounded_Oacc(_u13984, _u13986))) | ~hBOOL(hAPP(hAPP(c_member(_u13984), skolem369(_u13986, _u13985, _u13984)), c_Wellfounded_Oacc(_u13984, _u13986))) )).
% 12.54/12.79 cnf(matrix-6279, plain, ( hBOOL(hAPP(hAPP(c_member(_u13988), _u13989), c_Wellfounded_Oacc(_u13988, _u13990))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13988, _u13988)), hAPP(hAPP(c_Product__Type_OPair(_u13988, _u13988), skolem370(_u13990, _u13989, _u13988)), _u13989)), _u13990)) )).
% 12.54/12.79 cnf(matrix-6280, plain, ( hBOOL(hAPP(hAPP(c_member(_u13988), _u13989), c_Wellfounded_Oacc(_u13988, _u13990))) | ~hBOOL(hAPP(hAPP(c_member(_u13988), skolem370(_u13990, _u13989, _u13988)), c_Wellfounded_Oacc(_u13988, _u13990))) )).
% 12.54/12.79 cnf(matrix-6281, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13999, tc_HOL_Obool), tc_fun(_u13999, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13999, tc_HOL_Obool), tc_fun(_u13999, tc_HOL_Obool)), _u14001), _u14003)), c_Wellfounded_Omax__ext(_u13999, _u14005))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13999), _u14001)) )).
% 12.54/12.79 cnf(matrix-6282, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13999, tc_HOL_Obool), tc_fun(_u13999, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13999, tc_HOL_Obool), tc_fun(_u13999, tc_HOL_Obool)), _u14001), _u14003)), c_Wellfounded_Omax__ext(_u13999, _u14005))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13999), _u14003)) )).
% 12.54/12.79 cnf(matrix-6283, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13999, tc_HOL_Obool), tc_fun(_u13999, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13999, tc_HOL_Obool), tc_fun(_u13999, tc_HOL_Obool)), _u14001), _u14003)), c_Wellfounded_Omax__ext(_u13999, _u14005))) | ( _u14003 != c_Orderings_Obot__class_Obot(tc_fun(_u13999, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-6284, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13999, tc_HOL_Obool), tc_fun(_u13999, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13999, tc_HOL_Obool), tc_fun(_u13999, tc_HOL_Obool)), _u14001), _u14003)), c_Wellfounded_Omax__ext(_u13999, _u14005))) | ~hBOOL(hAPP(hAPP(c_member(_u13999), _u13992), _u14001)) | hBOOL(hAPP(hAPP(c_member(_u13999), skolem371(_u14005, _u14003, _u14001, _u13999, _u13992)), _u14003)) )).
% 12.54/12.79 cnf(matrix-6285, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13999, tc_HOL_Obool), tc_fun(_u13999, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13999, tc_HOL_Obool), tc_fun(_u13999, tc_HOL_Obool)), _u14001), _u14003)), c_Wellfounded_Omax__ext(_u13999, _u14005))) | ~hBOOL(hAPP(hAPP(c_member(_u13999), _u13992), _u14001)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13999, _u13999)), hAPP(hAPP(c_Product__Type_OPair(_u13999, _u13999), _u13992), skolem371(_u14005, _u14003, _u14001, _u13999, _u13992))), _u14005)) )).
% 12.54/12.79 cnf(matrix-6286, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14000, tc_HOL_Obool), tc_fun(_u14000, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14000, tc_HOL_Obool), tc_fun(_u14000, tc_HOL_Obool)), _u14002), _u14004)), c_Wellfounded_Omax__ext(_u14000, _u14006))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14000), _u14002)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14000), _u14004)) | ( _u14004 = c_Orderings_Obot__class_Obot(tc_fun(_u14000, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u14000), skolem372(_u14006, _u14004, _u14002, _u14000)), _u14002)) )).
% 12.54/12.79 cnf(matrix-6287, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14000, tc_HOL_Obool), tc_fun(_u14000, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14000, tc_HOL_Obool), tc_fun(_u14000, tc_HOL_Obool)), _u14002), _u14004)), c_Wellfounded_Omax__ext(_u14000, _u14006))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14000), _u14002)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14000), _u14004)) | ( _u14004 = c_Orderings_Obot__class_Obot(tc_fun(_u14000, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u14000), _u13993), _u14004)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14000, _u14000)), hAPP(hAPP(c_Product__Type_OPair(_u14000, _u14000), skolem372(_u14006, _u14004, _u14002, _u14000)), _u13993)), _u14006)) )).
% 12.54/12.79 cnf(matrix-6288, plain, ( ~c_Wellfounded_Owf(_u14008, _u14009) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14008, _u14008)), hAPP(hAPP(c_Product__Type_OPair(_u14008, _u14008), hAPP(_u14010, hAPP(c_Nat_OSuc, skolem373(_u14010, _u14009, _u14008)))), hAPP(_u14010, skolem373(_u14010, _u14009, _u14008)))), _u14009)) )).
% 12.54/12.79 cnf(matrix-6289, plain, ( ( _u14016 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u14018, _u14020, _u14016, _u14022), _u14024) = hAPP(c_Product__Type_OPair(_u14018, _u14020), _u14024)) )).
% 12.54/12.79 cnf(matrix-6290, plain, ( ( _u14017 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u14019, _u14021, _u14017, _u14023), _u14025) = hAPP(hAPP(c_Product__Type_Oscomp(_u14021, _u14019, _u14021, tc_prod(_u14019, _u14021)), hAPP(_u14023, _u14025)), c_Random_Oiterate(_u14019, _u14021, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u14017), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u14023))) )).
% 12.54/12.79 cnf(matrix-6291, plain, ( ~class_Groups_Ocomm__monoid__add(_u14027) | ~c_Fun_Oinj__on(_u14028, _u14029, _u14030, _u14031) | ( _u14032 != hAPP(c_Set_Oimage(_u14028, _u14029, _u14030), _u14031)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14029, _u14027), _u14034), _u14032) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14028, _u14027), _u14033), _u14031)) | hBOOL(hAPP(hAPP(c_member(_u14028), skolem374(_u14034, _u14033, _u14032, _u14031, _u14030, _u14029, _u14028, _u14027)), _u14031)) )).
% 12.54/12.79 cnf(matrix-6292, plain, ( ~class_Groups_Ocomm__monoid__add(_u14027) | ~c_Fun_Oinj__on(_u14028, _u14029, _u14030, _u14031) | ( _u14032 != hAPP(c_Set_Oimage(_u14028, _u14029, _u14030), _u14031)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14029, _u14027), _u14034), _u14032) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14028, _u14027), _u14033), _u14031)) | ( hAPP(_u14033, skolem374(_u14034, _u14033, _u14032, _u14031, _u14030, _u14029, _u14028, _u14027)) != hAPP(_u14034, hAPP(_u14030, skolem374(_u14034, _u14033, _u14032, _u14031, _u14030, _u14029, _u14028, _u14027)))) )).
% 12.54/12.79 cnf(matrix-6293, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u14035, _u14036, _u14037, _u14038), _u14039), _u14040), _u14041) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14036, _u14037, _u14038), _u14040), hAPP(_u14039, _u14041))) )).
% 12.54/12.79 cnf(matrix-6294, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u14042, _u14043, _u14042, _u14044), hAPP(c_Product__Type_OPair(_u14043, _u14042), _u14045)), _u14046) = hAPP(_u14046, _u14045)) )).
% 12.54/12.79 cnf(matrix-6295, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u14047, _u14048, _u14049, _u14050), hAPP(hAPP(c_Product__Type_Oscomp(_u14047, _u14051, _u14052, tc_prod(_u14048, _u14049)), _u14053), _u14054)), _u14055) = hAPP(hAPP(c_Product__Type_Oscomp(_u14047, _u14051, _u14052, _u14050), _u14053), hAPP(hAPP(c_COMBC(_u14051, tc_fun(_u14048, tc_fun(_u14049, _u14050)), tc_fun(_u14052, _u14050)), hAPP(hAPP(c_COMBB(tc_fun(_u14052, tc_prod(_u14048, _u14049)), tc_fun(tc_fun(_u14048, tc_fun(_u14049, _u14050)), tc_fun(_u14052, _u14050)), _u14051), c_Product__Type_Oscomp(_u14052, _u14048, _u14049, _u14050)), _u14054)), _u14055))) )).
% 12.54/12.79 cnf(matrix-6296, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u14056, _u14057, _u14058, tc_prod(_u14057, _u14058)), _u14059), c_Product__Type_OPair(_u14057, _u14058)) = _u14059) )).
% 12.54/12.79 cnf(matrix-6297, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u14060, _u14061, _u14062, _u14063), _u14064), _u14065), _u14066) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14061, _u14062, _u14063), _u14065), hAPP(_u14064, _u14066))) )).
% 12.54/12.79 cnf(matrix-6298, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u14067, _u14068, _u14069, _u14070), _u14071), _u14072), _u14073) = hAPP(hAPP(_u14072, hAPP(c_Product__Type_Ofst(_u14068, _u14069), hAPP(_u14071, _u14073))), hAPP(c_Product__Type_Osnd(_u14068, _u14069), hAPP(_u14071, _u14073)))) )).
% 12.54/12.79 cnf(matrix-6299, 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), _u14076), _u14078)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14076), _u14078)) )).
% 12.54/12.79 cnf(matrix-6300, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14077), _u14079)) | 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), _u14077), _u14079)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 12.54/12.79 cnf(matrix-6301, plain, ( ~c_Wellfounded_Owf(_u14090, _u14092) | ~hBOOL(hAPP(hAPP(c_member(_u14090), _u14080), _u14083)) | hBOOL(hAPP(hAPP(c_member(_u14090), skolem375(_u14092, _u14090, _u14083)), _u14083)) )).
% 12.54/12.79 cnf(matrix-6302, plain, ( ~c_Wellfounded_Owf(_u14090, _u14092) | ~hBOOL(hAPP(hAPP(c_member(_u14090), _u14080), _u14083)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14090, _u14090)), hAPP(hAPP(c_Product__Type_OPair(_u14090, _u14090), _u14081), skolem375(_u14092, _u14090, _u14083))), _u14092)) | ~hBOOL(hAPP(hAPP(c_member(_u14090), _u14081), _u14083)) )).
% 12.54/12.79 cnf(matrix-6303, plain, ( c_Wellfounded_Owf(_u14091, _u14093) | hBOOL(hAPP(hAPP(c_member(_u14091), skolem377(_u14093, _u14091)), skolem376(_u14093, _u14091))) )).
% 12.54/12.79 cnf(matrix-6304, plain, ( c_Wellfounded_Owf(_u14091, _u14093) | ~hBOOL(hAPP(hAPP(c_member(_u14091), _u14086), skolem376(_u14093, _u14091))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14091, _u14091)), hAPP(hAPP(c_Product__Type_OPair(_u14091, _u14091), skolem378(_u14093, _u14091, _u14086)), _u14086)), _u14093)) )).
% 12.54/12.79 cnf(matrix-6305, plain, ( c_Wellfounded_Owf(_u14091, _u14093) | ~hBOOL(hAPP(hAPP(c_member(_u14091), _u14086), skolem376(_u14093, _u14091))) | hBOOL(hAPP(hAPP(c_member(_u14091), skolem378(_u14093, _u14091, _u14086)), skolem376(_u14093, _u14091))) )).
% 12.54/12.79 cnf(matrix-6306, plain, ( ~c_Wellfounded_Owf(_u14094, _u14095) | c_Wellfounded_Owf(_u14094, c_Transitive__Closure_Otrancl(_u14094, _u14095)) )).
% 12.54/12.79 cnf(matrix-6307, plain, ( ( c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat)) )).
% 12.54/12.79 cnf(matrix-6308, plain, ( ~c_Wellfounded_Oacyclic(_u14100, _u14102) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14100, _u14100)), hAPP(hAPP(c_Product__Type_OPair(_u14100, _u14100), _u14096), _u14096)), c_Transitive__Closure_Otrancl(_u14100, _u14102))) )).
% 12.54/12.79 cnf(matrix-6309, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14101, _u14101)), hAPP(hAPP(c_Product__Type_OPair(_u14101, _u14101), skolem379(_u14103, _u14101)), skolem379(_u14103, _u14101))), c_Transitive__Closure_Otrancl(_u14101, _u14103))) | c_Wellfounded_Oacyclic(_u14101, _u14103) )).
% 12.54/12.79 cnf(matrix-6310, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14104, _u14104)), hAPP(hAPP(c_Product__Type_OPair(_u14104, _u14104), _u14105), _u14106)), _u14107)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14104, _u14104)), hAPP(hAPP(c_Product__Type_OPair(_u14104, _u14104), _u14105), _u14106)), c_Transitive__Closure_Otrancl(_u14104, _u14107))) )).
% 12.54/12.79 cnf(matrix-6311, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14108, _u14108), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14108, _u14109)), hAPP(hAPP(c_Product__Type_OSigma(_u14108, _u14108), hAPP(c_Relation_OField(_u14108), _u14109)), hAPP(c_COMBK(tc_fun(_u14108, tc_HOL_Obool), _u14108), hAPP(c_Relation_OField(_u14108), _u14109))))) )).
% 12.54/12.79 cnf(matrix-6312, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14110, _u14110)), _u14111), _u14112)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14110, _u14110)), _u14111), c_Transitive__Closure_Otrancl(_u14110, _u14112))) )).
% 12.54/12.79 cnf(matrix-6313, plain, ( ( c_Transitive__Closure_Otrancl(_u14113, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14113, _u14113), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14113, _u14113), tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-6314, plain, ( ( hAPP(c_Relation_ODomain(_u14114, _u14114), c_Transitive__Closure_Otrancl(_u14114, _u14115)) = hAPP(c_Relation_ODomain(_u14114, _u14114), _u14115)) )).
% 12.54/12.79 cnf(matrix-6315, plain, ( ( hAPP(c_Relation_ORange(_u14116, _u14116), c_Transitive__Closure_Otrancl(_u14116, _u14117)) = hAPP(c_Relation_ORange(_u14116, _u14116), _u14117)) )).
% 12.54/12.79 cnf(matrix-6316, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14120, _u14120)), c_Transitive__Closure_Otrancl(_u14120, _u14122))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14120, _u14120)), _u14122)) )).
% 12.54/12.79 cnf(matrix-6317, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14121, _u14121)), _u14123)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14121, _u14121)), c_Transitive__Closure_Otrancl(_u14121, _u14123))) )).
% 12.54/12.79 cnf(matrix-6318, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14124, _u14124)), hAPP(hAPP(c_Product__Type_OPair(_u14124, _u14124), _u14125), _u14126)), _u14127)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14124, _u14124)), hAPP(hAPP(c_Product__Type_OPair(_u14124, _u14124), _u14126), _u14128)), _u14127)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14124, _u14124)), hAPP(hAPP(c_Product__Type_OPair(_u14124, _u14124), _u14125), _u14128)), c_Transitive__Closure_Otrancl(_u14124, _u14127))) )).
% 12.54/12.79 cnf(matrix-6319, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14129, _u14129)), hAPP(hAPP(c_Product__Type_OPair(_u14129, _u14129), _u14130), _u14131)), _u14132)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14129, _u14129)), hAPP(hAPP(c_Product__Type_OPair(_u14129, _u14129), _u14131), _u14133)), c_Transitive__Closure_Otrancl(_u14129, _u14132))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14129, _u14129)), hAPP(hAPP(c_Product__Type_OPair(_u14129, _u14129), _u14130), _u14133)), c_Transitive__Closure_Otrancl(_u14129, _u14132))) )).
% 12.54/12.79 cnf(matrix-6320, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14134, _u14134)), hAPP(hAPP(c_Product__Type_OPair(_u14134, _u14134), _u14135), _u14136)), c_Transitive__Closure_Otrancl(_u14134, _u14137))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14134, _u14134)), hAPP(hAPP(c_Product__Type_OPair(_u14134, _u14134), _u14136), _u14138)), _u14137)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14134, _u14134)), hAPP(hAPP(c_Product__Type_OPair(_u14134, _u14134), _u14135), _u14138)), c_Transitive__Closure_Otrancl(_u14134, _u14137))) )).
% 12.54/12.79 cnf(matrix-6321, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14139, _u14139)), hAPP(hAPP(c_Product__Type_OPair(_u14139, _u14139), _u14140), _u14141)), c_Transitive__Closure_Otrancl(_u14139, _u14142))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14139, _u14139)), hAPP(hAPP(c_Product__Type_OPair(_u14139, _u14139), _u14141), _u14143)), c_Transitive__Closure_Otrancl(_u14139, _u14142))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14139, _u14139)), hAPP(hAPP(c_Product__Type_OPair(_u14139, _u14139), _u14140), _u14143)), c_Transitive__Closure_Otrancl(_u14139, _u14142))) )).
% 12.54/12.79 cnf(matrix-6322, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14144, _u14144)), _u14145), c_Transitive__Closure_Otrancl(_u14144, _u14146))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14144, _u14144), tc_HOL_Obool)), _u14146), _u14147)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14144, _u14144)), _u14145), c_Transitive__Closure_Otrancl(_u14144, _u14147))) )).
% 12.54/12.79 cnf(matrix-6323, plain, ( ( c_Transitive__Closure_Otrancl(_u14148, _u14149) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14148, _u14148), tc_HOL_Obool)), _u14149), hAPP(hAPP(c_Relation_Orel__comp(_u14148, _u14148, _u14148), c_Transitive__Closure_Otrancl(_u14148, _u14149)), _u14149))) )).
% 12.54/12.79 cnf(matrix-6324, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14150, _u14150), tc_HOL_Obool)), _u14151), hAPP(hAPP(c_Product__Type_OSigma(_u14150, _u14150), _u14152), hAPP(c_COMBK(tc_fun(_u14150, tc_HOL_Obool), _u14150), _u14152)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14150, _u14150), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14150, _u14151)), hAPP(hAPP(c_Product__Type_OSigma(_u14150, _u14150), _u14152), hAPP(c_COMBK(tc_fun(_u14150, tc_HOL_Obool), _u14150), _u14152)))) )).
% 12.54/12.79 cnf(matrix-6325, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14153, _u14153), tc_HOL_Obool)), _u14154), _u14155)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14153, _u14153), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14153, _u14153, _u14153), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14153, _u14153), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14153, _u14154)), _u14155)), _u14154)), _u14155)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14153, _u14153), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14153, _u14154)), _u14155)) )).
% 12.54/12.79 cnf(matrix-6326, plain, ( ( c_Transitive__Closure_Otrancl(_u14156, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14156, _u14156)), hAPP(hAPP(c_Product__Type_OPair(_u14156, _u14156), _u14157), _u14158)), _u14159)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14156, _u14156), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14156, _u14159)), hAPP(c_Set_OCollect(tc_prod(_u14156, _u14156)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14156, _u14156, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14156, tc_fun(_u14156, tc_HOL_Obool), tc_fun(_u14156, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14156, tc_HOL_Obool), tc_fun(_u14156, tc_HOL_Obool)), _u14156), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14156)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14156), c_fconj), hAPP(hAPP(c_COMBC(_u14156, tc_fun(tc_prod(_u14156, _u14156), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u14156, _u14156), tc_fun(tc_fun(tc_prod(_u14156, _u14156), tc_HOL_Obool), tc_HOL_Obool), _u14156), c_member(tc_prod(_u14156, _u14156))), hAPP(hAPP(c_COMBC(_u14156, _u14156, tc_prod(_u14156, _u14156)), c_Product__Type_OPair(_u14156, _u14156)), _u14157))), c_Transitive__Closure_Ortrancl(_u14156, _u14159))))), hAPP(hAPP(c_COMBC(_u14156, tc_fun(tc_prod(_u14156, _u14156), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u14156, _u14156), tc_fun(tc_fun(tc_prod(_u14156, _u14156), tc_HOL_Obool), tc_HOL_Obool), _u14156), c_member(tc_prod(_u14156, _u14156))), hAPP(c_Product__Type_OPair(_u14156, _u14156), _u14158))), c_Transitive__Closure_Ortrancl(_u14156, _u14159))))))) )).
% 12.54/12.79 cnf(matrix-6327, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14164, tc_fun(_u14164, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u14164, tc_fun(tc_prod(_u14164, _u14164), tc_HOL_Obool), tc_fun(_u14164, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14164, tc_fun(tc_fun(tc_prod(_u14164, _u14164), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14164, _u14164), tc_HOL_Obool), tc_fun(_u14164, tc_HOL_Obool)), _u14164), c_COMBC(_u14164, tc_fun(tc_prod(_u14164, _u14164), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14164, tc_prod(_u14164, _u14164)), tc_fun(_u14164, tc_fun(tc_fun(tc_prod(_u14164, _u14164), tc_HOL_Obool), tc_HOL_Obool)), _u14164), hAPP(c_COMBB(tc_prod(_u14164, _u14164), tc_fun(tc_fun(tc_prod(_u14164, _u14164), tc_HOL_Obool), tc_HOL_Obool), _u14164), c_member(tc_prod(_u14164, _u14164)))), c_Product__Type_OPair(_u14164, _u14164)))), _u14166)), c_fequal), _u14168), _u14170)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14164, _u14164)), hAPP(hAPP(c_Product__Type_OPair(_u14164, _u14164), _u14168), _u14170)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14164, _u14164), tc_HOL_Obool)), _u14166), c_Relation_OId(_u14164)))) )).
% 12.54/12.79 cnf(matrix-6328, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14165, _u14165)), hAPP(hAPP(c_Product__Type_OPair(_u14165, _u14165), _u14169), _u14171)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14165, _u14165), tc_HOL_Obool)), _u14167), c_Relation_OId(_u14165)))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14165, tc_fun(_u14165, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u14165, tc_fun(tc_prod(_u14165, _u14165), tc_HOL_Obool), tc_fun(_u14165, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14165, tc_fun(tc_fun(tc_prod(_u14165, _u14165), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14165, _u14165), tc_HOL_Obool), tc_fun(_u14165, tc_HOL_Obool)), _u14165), c_COMBC(_u14165, tc_fun(tc_prod(_u14165, _u14165), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14165, tc_prod(_u14165, _u14165)), tc_fun(_u14165, tc_fun(tc_fun(tc_prod(_u14165, _u14165), tc_HOL_Obool), tc_HOL_Obool)), _u14165), hAPP(c_COMBB(tc_prod(_u14165, _u14165), tc_fun(tc_fun(tc_prod(_u14165, _u14165), tc_HOL_Obool), tc_HOL_Obool), _u14165), c_member(tc_prod(_u14165, _u14165)))), c_Product__Type_OPair(_u14165, _u14165)))), _u14167)), c_fequal), _u14169), _u14171)) )).
% 12.54/12.79 cnf(matrix-6329, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14172, _u14172)), _u14173), _u14174)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14172, _u14172)), _u14173), c_Transitive__Closure_Ortrancl(_u14172, _u14174))) )).
% 12.54/12.79 cnf(matrix-6330, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14175, _u14175)), hAPP(hAPP(c_Product__Type_OPair(_u14175, _u14175), _u14176), _u14176)), c_Transitive__Closure_Ortrancl(_u14175, _u14177))) )).
% 12.54/12.79 cnf(matrix-6331, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14178, _u14178)), hAPP(hAPP(c_Product__Type_OPair(_u14178, _u14178), _u14179), _u14179)), c_Relation_OId(_u14178))) )).
% 12.54/12.79 cnf(matrix-6332, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14180, _u14180)), hAPP(hAPP(c_Product__Type_OPair(_u14180, _u14180), _u14181), _u14182)), c_Transitive__Closure_Otrancl(_u14180, _u14183))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14180, _u14180)), hAPP(hAPP(c_Product__Type_OPair(_u14180, _u14180), _u14181), _u14182)), c_Transitive__Closure_Ortrancl(_u14180, _u14183))) )).
% 12.54/12.79 cnf(matrix-6333, plain, ( ( c_Transitive__Closure_Ortrancl(_u14184, c_Transitive__Closure_Otrancl(_u14184, _u14185)) = c_Transitive__Closure_Ortrancl(_u14184, _u14185)) )).
% 12.54/12.79 cnf(matrix-6334, plain, ( ( c_Transitive__Closure_Otrancl(_u14186, c_Transitive__Closure_Ortrancl(_u14186, _u14187)) = c_Transitive__Closure_Ortrancl(_u14186, _u14187)) )).
% 12.54/12.79 cnf(matrix-6335, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14188, _u14188), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14188, _u14189)), c_Relation_OId(_u14188)) = c_Transitive__Closure_Ortrancl(_u14188, _u14189)) )).
% 12.54/12.79 cnf(matrix-6336, plain, ( ( c_Transitive__Closure_Otrancl(_u14190, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14190, _u14190), tc_HOL_Obool)), _u14191), c_Relation_OId(_u14190))) = c_Transitive__Closure_Ortrancl(_u14190, _u14191)) )).
% 12.54/12.79 cnf(matrix-6337, plain, ( ( c_Transitive__Closure_Otrancl(_u14192, _u14193) = hAPP(hAPP(c_Relation_Orel__comp(_u14192, _u14192, _u14192), c_Transitive__Closure_Ortrancl(_u14192, _u14193)), _u14193)) )).
% 12.54/12.79 cnf(matrix-6338, plain, ( ( c_Transitive__Closure_Otrancl(_u14194, _u14195) = hAPP(hAPP(c_Relation_Orel__comp(_u14194, _u14194, _u14194), _u14195), c_Transitive__Closure_Ortrancl(_u14194, _u14195))) )).
% 12.54/12.79 cnf(matrix-6339, plain, ( ( c_Transitive__Closure_Ortrancl(_u14196, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14196, _u14196), tc_HOL_Obool)), _u14197), c_Relation_OId(_u14196))) = c_Transitive__Closure_Ortrancl(_u14196, _u14197)) )).
% 12.54/12.79 cnf(matrix-6340, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14198, _u14198), tc_HOL_Obool)), c_Relation_OId(_u14198)), _u14199)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14198, _u14198), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14198, _u14198, _u14198), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14198, _u14198), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14198, _u14200)), _u14199)), _u14200)), _u14199)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14198, _u14198), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14198, _u14200)), _u14199)) )).
% 12.54/12.79 cnf(matrix-6341, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14201, _u14201, _u14201), _u14202), c_Transitive__Closure_Ortrancl(_u14201, _u14202)) = hAPP(hAPP(c_Relation_Orel__comp(_u14201, _u14201, _u14201), c_Transitive__Closure_Ortrancl(_u14201, _u14202)), _u14202)) )).
% 12.54/12.79 cnf(matrix-6342, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14203, _u14203, _u14203), c_Transitive__Closure_Ortrancl(_u14203, _u14204)), c_Transitive__Closure_Ortrancl(_u14203, _u14204)) = c_Transitive__Closure_Ortrancl(_u14203, _u14204)) )).
% 12.54/12.79 cnf(matrix-6343, plain, ( ( c_Transitive__Closure_Ortrancl(_u14205, _u14206) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14205, _u14205), tc_HOL_Obool)), c_Relation_OId(_u14205)), hAPP(hAPP(c_Relation_Orel__comp(_u14205, _u14205, _u14205), c_Transitive__Closure_Ortrancl(_u14205, _u14206)), _u14206))) )).
% 12.54/12.79 cnf(matrix-6344, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14207, _u14207), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14207, _u14207), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14207, _u14208)), c_Transitive__Closure_Ortrancl(_u14207, _u14209))), c_Transitive__Closure_Ortrancl(_u14207, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14207, _u14207), tc_HOL_Obool)), _u14208), _u14209)))) )).
% 12.54/12.79 cnf(matrix-6345, plain, ( ( c_Transitive__Closure_Ortrancl(_u14210, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14210, _u14210), tc_HOL_Obool)), _u14211), c_Relation_OId(_u14210))) = c_Transitive__Closure_Ortrancl(_u14210, _u14211)) )).
% 12.54/12.79 cnf(matrix-6346, plain, ( ( c_Transitive__Closure_Ortrancl(_u14212, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14212, _u14212), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14212, _u14213)), c_Transitive__Closure_Ortrancl(_u14212, _u14214))) = c_Transitive__Closure_Ortrancl(_u14212, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14212, _u14212), tc_HOL_Obool)), _u14213), _u14214))) )).
% 12.54/12.79 cnf(matrix-6347, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14215, _u14215), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14215, _u14216)), c_Relation_OId(_u14215)) = c_Transitive__Closure_Ortrancl(_u14215, _u14216)) )).
% 12.54/12.79 cnf(matrix-6348, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14217, _u14217), tc_HOL_Obool)), _u14218), c_Transitive__Closure_Ortrancl(_u14217, _u14219))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14217, _u14217), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14217, _u14218)), c_Transitive__Closure_Ortrancl(_u14217, _u14219))) )).
% 12.54/12.79 cnf(matrix-6349, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14220, _u14220), tc_HOL_Obool)), _u14221), _u14222)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14220, _u14220), tc_HOL_Obool)), _u14222), c_Transitive__Closure_Ortrancl(_u14220, _u14221))) | ( c_Transitive__Closure_Ortrancl(_u14220, _u14222) = c_Transitive__Closure_Ortrancl(_u14220, _u14221)) )).
% 12.54/12.79 cnf(matrix-6350, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14223, _u14223), tc_HOL_Obool)), _u14224), _u14225)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14223, _u14223), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14223, _u14224)), c_Transitive__Closure_Ortrancl(_u14223, _u14225))) )).
% 12.54/12.79 cnf(matrix-6351, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14226, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14226, _u14226, _u14227), _u14228)), _u14228)) | ( hAPP(c_Relation_OImage(_u14226, _u14226, c_Transitive__Closure_Ortrancl(_u14226, _u14227)), _u14228) = _u14228) )).
% 12.54/12.79 cnf(matrix-6352, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14229, _u14229)), _u14230), c_Transitive__Closure_Ortrancl(_u14229, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14229, _u14229), tc_HOL_Obool)), _u14231), _u14232)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14229, _u14229)), _u14230), c_Transitive__Closure_Ortrancl(_u14229, _u14231))) )).
% 12.54/12.79 cnf(matrix-6353, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14229, _u14229)), _u14230), c_Transitive__Closure_Ortrancl(_u14229, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14229, _u14229), tc_HOL_Obool)), _u14231), _u14232)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14229, _u14229)), _u14230), c_Transitive__Closure_Ortrancl(_u14229, _u14232))) )).
% 12.54/12.79 cnf(matrix-6354, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14233, _u14233)), hAPP(hAPP(c_Product__Type_OPair(_u14233, _u14233), _u14234), _u14235)), _u14236)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14233, _u14233)), hAPP(hAPP(c_Product__Type_OPair(_u14233, _u14233), _u14235), _u14237)), c_Transitive__Closure_Ortrancl(_u14233, _u14236))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14233, _u14233)), hAPP(hAPP(c_Product__Type_OPair(_u14233, _u14233), _u14234), _u14237)), c_Transitive__Closure_Ortrancl(_u14233, _u14236))) )).
% 12.54/12.79 cnf(matrix-6355, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14238, _u14238)), hAPP(hAPP(c_Product__Type_OPair(_u14238, _u14238), _u14239), _u14240)), c_Transitive__Closure_Ortrancl(_u14238, _u14241))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14238, _u14238)), hAPP(hAPP(c_Product__Type_OPair(_u14238, _u14238), _u14240), _u14242)), _u14241)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14238, _u14238)), hAPP(hAPP(c_Product__Type_OPair(_u14238, _u14238), _u14239), _u14242)), c_Transitive__Closure_Ortrancl(_u14238, _u14241))) )).
% 12.54/12.79 cnf(matrix-6356, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14243, _u14243)), hAPP(hAPP(c_Product__Type_OPair(_u14243, _u14243), _u14244), _u14245)), c_Transitive__Closure_Ortrancl(_u14243, _u14246))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14243, _u14243)), hAPP(hAPP(c_Product__Type_OPair(_u14243, _u14243), _u14245), _u14247)), c_Transitive__Closure_Ortrancl(_u14243, _u14246))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14243, _u14243)), hAPP(hAPP(c_Product__Type_OPair(_u14243, _u14243), _u14244), _u14247)), c_Transitive__Closure_Ortrancl(_u14243, _u14246))) )).
% 12.54/12.79 cnf(matrix-6357, plain, ( ( c_Transitive__Closure_Ortrancl(_u14248, c_Transitive__Closure_Ortrancl(_u14248, _u14249)) = c_Transitive__Closure_Ortrancl(_u14248, _u14249)) )).
% 12.54/12.79 cnf(matrix-6358, plain, ( ( c_Transitive__Closure_Ortrancl(_u14250, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14250, _u14250), tc_HOL_Obool))) = c_Relation_OId(_u14250)) )).
% 12.54/12.79 cnf(matrix-6359, plain, ( ( hAPP(c_Relation_ORange(_u14251, _u14251), c_Transitive__Closure_Ortrancl(_u14251, _u14252)) = c_Orderings_Otop__class_Otop(tc_fun(_u14251, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-6360, plain, ( ( hAPP(c_Relation_ODomain(_u14253, _u14253), c_Transitive__Closure_Ortrancl(_u14253, _u14254)) = c_Orderings_Otop__class_Otop(tc_fun(_u14253, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-6361, plain, ( c_Relation_Orefl__on(_u14255, c_Orderings_Otop__class_Otop(tc_fun(_u14255, tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14255, _u14256)) )).
% 12.54/12.79 cnf(matrix-6362, plain, ( ( hAPP(c_Relation_OImage(_u14257, _u14257, c_Relation_OId(_u14257)), _u14258) = _u14258) )).
% 12.54/12.79 cnf(matrix-6363, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14259, _u14259, _u14260), c_Relation_OId(_u14259)), _u14261) = _u14261) )).
% 12.54/12.79 cnf(matrix-6364, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14262, _u14263, _u14263), _u14264), c_Relation_OId(_u14263)) = _u14264) )).
% 12.54/12.79 cnf(matrix-6365, plain, ( ( _u14270 = _u14272) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14268, _u14268)), hAPP(hAPP(c_Product__Type_OPair(_u14268, _u14268), _u14270), _u14272)), c_Relation_OId(_u14268))) )).
% 12.54/12.79 cnf(matrix-6366, plain, ( ( _u14271 != _u14273) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14269, _u14269)), hAPP(hAPP(c_Product__Type_OPair(_u14269, _u14269), _u14271), _u14273)), c_Relation_OId(_u14269))) )).
% 12.54/12.79 cnf(matrix-6367, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14278, _u14278)), hAPP(hAPP(c_Product__Type_OPair(_u14278, _u14278), _u14280), _u14282)), c_Transitive__Closure_Ortrancl(_u14278, _u14284))) | ( _u14280 = _u14282) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14278, _u14278)), hAPP(hAPP(c_Product__Type_OPair(_u14278, _u14278), _u14280), _u14282)), c_Transitive__Closure_Otrancl(_u14278, _u14284))) )).
% 12.54/12.79 cnf(matrix-6368, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14279, _u14279)), hAPP(hAPP(c_Product__Type_OPair(_u14279, _u14279), _u14281), _u14283)), c_Transitive__Closure_Ortrancl(_u14279, _u14285))) | ( _u14281 != _u14283) )).
% 12.54/12.79 cnf(matrix-6369, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14279, _u14279)), hAPP(hAPP(c_Product__Type_OPair(_u14279, _u14279), _u14281), _u14283)), c_Transitive__Closure_Ortrancl(_u14279, _u14285))) | ( _u14281 = _u14283) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14279, _u14279)), hAPP(hAPP(c_Product__Type_OPair(_u14279, _u14279), _u14281), _u14283)), c_Transitive__Closure_Otrancl(_u14279, _u14285))) )).
% 12.54/12.79 cnf(matrix-6370, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14286, _u14286)), hAPP(hAPP(c_Product__Type_OPair(_u14286, _u14286), _u14287), _u14288)), _u14289)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14286, _u14286)), hAPP(hAPP(c_Product__Type_OPair(_u14286, _u14286), _u14288), _u14290)), c_Transitive__Closure_Ortrancl(_u14286, _u14289))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14286, _u14286)), hAPP(hAPP(c_Product__Type_OPair(_u14286, _u14286), _u14287), _u14290)), c_Transitive__Closure_Otrancl(_u14286, _u14289))) )).
% 12.54/12.79 cnf(matrix-6371, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14291, _u14291)), hAPP(hAPP(c_Product__Type_OPair(_u14291, _u14291), _u14292), _u14293)), c_Transitive__Closure_Ortrancl(_u14291, _u14294))) | ( _u14292 = _u14293) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14291, _u14291)), hAPP(hAPP(c_Product__Type_OPair(_u14291, _u14291), _u14292), _u14293)), c_Transitive__Closure_Otrancl(_u14291, _u14294))) )).
% 12.54/12.79 cnf(matrix-6372, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14295, _u14295)), hAPP(hAPP(c_Product__Type_OPair(_u14295, _u14295), _u14296), _u14297)), c_Transitive__Closure_Ortrancl(_u14295, _u14298))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14295, _u14295)), hAPP(hAPP(c_Product__Type_OPair(_u14295, _u14295), _u14297), _u14299)), _u14298)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14295, _u14295)), hAPP(hAPP(c_Product__Type_OPair(_u14295, _u14295), _u14296), _u14299)), c_Transitive__Closure_Otrancl(_u14295, _u14298))) )).
% 12.54/12.79 cnf(matrix-6373, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14300, _u14300)), hAPP(hAPP(c_Product__Type_OPair(_u14300, _u14300), _u14301), _u14302)), c_Transitive__Closure_Otrancl(_u14300, _u14303))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14300, _u14300)), hAPP(hAPP(c_Product__Type_OPair(_u14300, _u14300), _u14302), _u14304)), c_Transitive__Closure_Ortrancl(_u14300, _u14303))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14300, _u14300)), hAPP(hAPP(c_Product__Type_OPair(_u14300, _u14300), _u14301), _u14304)), c_Transitive__Closure_Otrancl(_u14300, _u14303))) )).
% 12.54/12.79 cnf(matrix-6374, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14305, _u14305)), hAPP(hAPP(c_Product__Type_OPair(_u14305, _u14305), _u14306), _u14307)), c_Transitive__Closure_Ortrancl(_u14305, _u14308))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14305, _u14305)), hAPP(hAPP(c_Product__Type_OPair(_u14305, _u14305), _u14307), _u14309)), c_Transitive__Closure_Otrancl(_u14305, _u14308))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14305, _u14305)), hAPP(hAPP(c_Product__Type_OPair(_u14305, _u14305), _u14306), _u14309)), c_Transitive__Closure_Otrancl(_u14305, _u14308))) )).
% 12.54/12.79 cnf(matrix-6375, plain, ( ( hAPP(c_Relation_ODomain(_u14310, _u14310), c_Relation_OId(_u14310)) = c_Orderings_Otop__class_Otop(tc_fun(_u14310, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-6376, plain, ( ( hAPP(c_Relation_ORange(_u14311, _u14311), c_Relation_OId(_u14311)) = c_Orderings_Otop__class_Otop(tc_fun(_u14311, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-6377, plain, ( c_Relation_Orefl__on(_u14312, c_Orderings_Otop__class_Otop(tc_fun(_u14312, tc_HOL_Obool)), c_Relation_OId(_u14312)) )).
% 12.54/12.79 cnf(matrix-6378, plain, ( ( c_FunDef_Opair__leq = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), tc_HOL_Obool)), c_FunDef_Opair__less), c_Relation_OId(tc_prod(tc_Nat_Onat, tc_Nat_Onat)))) )).
% 12.54/12.79 cnf(matrix-6379, plain, ( hBOOL(hAPP(hAPP(c_member(_u14313), _u14314), hAPP(c_Relation_ODomain(_u14313, _u14313), _u14315))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14313, _u14313)), hAPP(hAPP(c_Product__Type_OPair(_u14313, _u14313), _u14314), _u14316)), c_Transitive__Closure_Ortrancl(_u14313, _u14315))) | ( _u14314 = _u14316) )).
% 12.54/12.79 cnf(matrix-6380, plain, ( hBOOL(hAPP(hAPP(c_member(_u14313), _u14314), hAPP(c_Relation_ODomain(_u14313, _u14313), _u14315))) | ( _u14314 != _u14316) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14313, _u14313)), hAPP(hAPP(c_Product__Type_OPair(_u14313, _u14313), _u14314), _u14316)), c_Transitive__Closure_Ortrancl(_u14313, _u14315))) )).
% 12.54/12.79 cnf(matrix-6381, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14317, _u14317)), hAPP(hAPP(c_Product__Type_OPair(_u14317, _u14317), _u14318), _u14319)), c_Transitive__Closure_Ortrancl(_u14317, _u14320))) | ~hBOOL(hAPP(hAPP(c_member(_u14317), _u14319), c_Wellfounded_Oacc(_u14317, _u14320))) | hBOOL(hAPP(hAPP(c_member(_u14317), _u14318), c_Wellfounded_Oacc(_u14317, _u14320))) )).
% 12.54/12.79 cnf(matrix-6382, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14321), _u14322), c_Wellfounded_Oacc(_u14321, _u14323))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14321, _u14321)), hAPP(hAPP(c_Product__Type_OPair(_u14321, _u14321), _u14324), _u14322)), c_Transitive__Closure_Ortrancl(_u14321, _u14323))) | hBOOL(hAPP(hAPP(c_member(_u14321), _u14324), c_Wellfounded_Oacc(_u14321, _u14323))) )).
% 12.54/12.79 cnf(matrix-6383, plain, ( ~c_Wellfounded_Owf(_u14329, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14329, _u14329)), hAPP(hAPP(c_Product__Type_OPair(_u14329, _u14329), _u14331), _u14333)), _u14335)) | c_Wellfounded_Owf(_u14329, _u14335) )).
% 12.54/12.79 cnf(matrix-6384, plain, ( ~c_Wellfounded_Owf(_u14329, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14329, _u14329)), hAPP(hAPP(c_Product__Type_OPair(_u14329, _u14329), _u14331), _u14333)), _u14335)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14329, _u14329)), hAPP(hAPP(c_Product__Type_OPair(_u14329, _u14329), _u14333), _u14331)), c_Transitive__Closure_Ortrancl(_u14329, _u14335))) )).
% 12.54/12.79 cnf(matrix-6385, plain, ( ~c_Wellfounded_Owf(_u14330, _u14336) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14330, _u14330)), hAPP(hAPP(c_Product__Type_OPair(_u14330, _u14330), _u14334), _u14332)), c_Transitive__Closure_Ortrancl(_u14330, _u14336))) | c_Wellfounded_Owf(_u14330, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14330, _u14330)), hAPP(hAPP(c_Product__Type_OPair(_u14330, _u14330), _u14332), _u14334)), _u14336)) )).
% 12.54/12.79 cnf(matrix-6386, plain, ( ~c_Wellfounded_Oacyclic(_u14341, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14341, _u14341)), hAPP(hAPP(c_Product__Type_OPair(_u14341, _u14341), _u14343), _u14345)), _u14347)) | c_Wellfounded_Oacyclic(_u14341, _u14347) )).
% 12.54/12.79 cnf(matrix-6387, plain, ( ~c_Wellfounded_Oacyclic(_u14341, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14341, _u14341)), hAPP(hAPP(c_Product__Type_OPair(_u14341, _u14341), _u14343), _u14345)), _u14347)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14341, _u14341)), hAPP(hAPP(c_Product__Type_OPair(_u14341, _u14341), _u14345), _u14343)), c_Transitive__Closure_Ortrancl(_u14341, _u14347))) )).
% 12.54/12.79 cnf(matrix-6388, plain, ( ~c_Wellfounded_Oacyclic(_u14342, _u14348) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14342, _u14342)), hAPP(hAPP(c_Product__Type_OPair(_u14342, _u14342), _u14346), _u14344)), c_Transitive__Closure_Ortrancl(_u14342, _u14348))) | c_Wellfounded_Oacyclic(_u14342, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14342, _u14342)), hAPP(hAPP(c_Product__Type_OPair(_u14342, _u14342), _u14344), _u14346)), _u14348)) )).
% 12.54/12.79 cnf(matrix-6389, plain, ( c_Relation_Orefl__on(_u14349, c_Orderings_Otop__class_Otop(tc_fun(_u14349, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14349, _u14349), tc_HOL_Obool)), _u14350), c_Relation_OId(_u14349))) )).
% 12.54/12.79 cnf(matrix-6390, plain, ( ( c_Relation_OId(_u14351) = hAPP(c_Set_OCollect(tc_prod(_u14351, _u14351)), hAPP(hAPP(c_COMBB(tc_fun(_u14351, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u14351, _u14351)), c_HOL_OEx(_u14351)), hAPP(hAPP(c_COMBC(tc_prod(_u14351, _u14351), tc_fun(_u14351, tc_prod(_u14351, _u14351)), tc_fun(_u14351, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14351, _u14351), tc_HOL_Obool), tc_fun(tc_fun(_u14351, tc_prod(_u14351, _u14351)), tc_fun(_u14351, tc_HOL_Obool)), tc_prod(_u14351, _u14351)), c_COMBB(tc_prod(_u14351, _u14351), tc_HOL_Obool, _u14351)), c_fequal)), hAPP(hAPP(c_COMBS(_u14351, _u14351, tc_prod(_u14351, _u14351)), c_Product__Type_OPair(_u14351, _u14351)), c_COMBI(_u14351)))))) )).
% 12.54/12.79 cnf(matrix-6391, plain, ( c_Relation_Oirrefl(_u14352, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14352, _u14352), tc_HOL_Obool)), _u14353), c_Relation_OId(_u14352))) )).
% 12.54/12.79 cnf(matrix-6392, 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), _u14356), _u14358)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14356), _u14358)) )).
% 12.54/12.79 cnf(matrix-6393, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14357), _u14359)) | 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), _u14357), _u14359)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 12.54/12.79 cnf(matrix-6394, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14360, _u14360)), hAPP(hAPP(c_Product__Type_OPair(_u14360, _u14360), _u14361), _u14362)), c_Transitive__Closure_Ortrancl(_u14360, _u14363))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14360, _u14360), tc_HOL_Obool)), _u14363), hAPP(hAPP(c_Product__Type_OSigma(_u14360, _u14360), _u14364), hAPP(c_COMBK(tc_fun(_u14360, tc_HOL_Obool), _u14360), _u14364)))) | ( _u14361 = _u14362) | hBOOL(hAPP(hAPP(c_member(_u14360), _u14361), _u14364)) )).
% 12.54/12.79 cnf(matrix-6395, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14365, _u14365), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14365, _u14365), _u14366)), c_Transitive__Closure_Ortrancl(_u14365, _u14366)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14365, _u14365), tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14365, _u14365)), hAPP(hAPP(c_Product__Type_OPair(_u14365, _u14365), _u14367), _u14367)), c_Transitive__Closure_Otrancl(_u14365, _u14366))) )).
% 12.54/12.79 cnf(matrix-6396, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14369, _u14369)), hAPP(hAPP(c_Product__Type_OPair(_u14369, _u14369), hAPP(_u14370, hAPP(c_Nat_OSuc, skolem380(_u14373, _u14372, _u14371, _u14370, _u14369)))), hAPP(_u14370, skolem380(_u14373, _u14372, _u14371, _u14370, _u14369)))), c_Transitive__Closure_Ortrancl(_u14369, _u14371))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14369, _u14369)), hAPP(hAPP(c_Product__Type_OPair(_u14369, _u14369), hAPP(_u14370, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14372), _u14373))), hAPP(_u14370, _u14372))), c_Transitive__Closure_Ortrancl(_u14369, _u14371))) )).
% 12.54/12.79 cnf(matrix-6397, plain, ( ( c_Transitive__Closure_Ortrancl(_u14374, hAPP(c_Relation_Oconverse(_u14374, _u14374), _u14375)) = hAPP(c_Relation_Oconverse(_u14374, _u14374), c_Transitive__Closure_Ortrancl(_u14374, _u14375))) )).
% 12.54/12.79 cnf(matrix-6398, plain, ( ( hAPP(c_Relation_Oconverse(_u14376, _u14376), c_Relation_OId(_u14376)) = c_Relation_OId(_u14376)) )).
% 12.54/12.79 cnf(matrix-6399, plain, ( ( hAPP(c_Relation_Oconverse(_u14377, _u14378), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14379, tc_fun(tc_prod(_u14377, _u14378), tc_HOL_Obool)), _u14380), _u14381)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14379, tc_fun(tc_prod(_u14378, _u14377), tc_HOL_Obool)), _u14380), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14377, _u14378), tc_HOL_Obool), tc_fun(tc_prod(_u14378, _u14377), tc_HOL_Obool), _u14379), c_Relation_Oconverse(_u14377, _u14378)), _u14381))) )).
% 12.54/12.79 cnf(matrix-6400, plain, ( ( hAPP(c_Relation_Oconverse(_u14382, _u14383), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14384, tc_fun(tc_prod(_u14382, _u14383), tc_HOL_Obool)), _u14385), _u14386)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14384, tc_fun(tc_prod(_u14383, _u14382), tc_HOL_Obool)), _u14385), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14382, _u14383), tc_HOL_Obool), tc_fun(tc_prod(_u14383, _u14382), tc_HOL_Obool), _u14384), c_Relation_Oconverse(_u14382, _u14383)), _u14386))) )).
% 12.54/12.79 cnf(matrix-6401, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14392, _u14394)), hAPP(hAPP(c_Product__Type_OPair(_u14392, _u14394), _u14396), _u14398)), hAPP(c_Relation_Oconverse(_u14394, _u14392), _u14400))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14394, _u14392)), hAPP(hAPP(c_Product__Type_OPair(_u14394, _u14392), _u14398), _u14396)), _u14400)) )).
% 12.54/12.79 cnf(matrix-6402, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14395, _u14393)), hAPP(hAPP(c_Product__Type_OPair(_u14395, _u14393), _u14399), _u14397)), _u14401)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14393, _u14395)), hAPP(hAPP(c_Product__Type_OPair(_u14393, _u14395), _u14397), _u14399)), hAPP(c_Relation_Oconverse(_u14395, _u14393), _u14401))) )).
% 12.54/12.79 cnf(matrix-6403, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14402, _u14403)), hAPP(hAPP(c_Product__Type_OPair(_u14402, _u14403), _u14404), _u14405)), _u14406)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14403, _u14402)), hAPP(hAPP(c_Product__Type_OPair(_u14403, _u14402), _u14405), _u14404)), hAPP(c_Relation_Oconverse(_u14402, _u14403), _u14406))) )).
% 12.54/12.79 cnf(matrix-6404, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14407, _u14408)), hAPP(hAPP(c_Product__Type_OPair(_u14407, _u14408), _u14409), _u14410)), hAPP(c_Relation_Oconverse(_u14408, _u14407), _u14411))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14408, _u14407)), hAPP(hAPP(c_Product__Type_OPair(_u14408, _u14407), _u14410), _u14409)), _u14411)) )).
% 12.54/12.79 cnf(matrix-6405, plain, ( ( hAPP(c_Relation_Oconverse(_u14412, _u14413), hAPP(hAPP(c_Relation_Orel__comp(_u14412, _u14414, _u14413), _u14415), _u14416)) = hAPP(hAPP(c_Relation_Orel__comp(_u14413, _u14414, _u14412), hAPP(c_Relation_Oconverse(_u14414, _u14413), _u14416)), hAPP(c_Relation_Oconverse(_u14412, _u14414), _u14415))) )).
% 12.54/12.79 cnf(matrix-6406, plain, ( ( hAPP(c_Relation_Oconverse(_u14417, _u14418), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14417, _u14418), tc_HOL_Obool)), _u14419), _u14420)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14418, _u14417), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14417, _u14418), _u14419)), hAPP(c_Relation_Oconverse(_u14417, _u14418), _u14420))) )).
% 12.54/12.79 cnf(matrix-6407, plain, ( ( hAPP(c_Relation_OField(_u14421), hAPP(c_Relation_Oconverse(_u14421, _u14421), _u14422)) = hAPP(c_Relation_OField(_u14421), _u14422)) )).
% 12.54/12.79 cnf(matrix-6408, plain, ( ( hAPP(c_Relation_Oconverse(_u14423, _u14423), hAPP(hAPP(c_Relation_Oinv__image(_u14424, _u14423), _u14425), _u14426)) = hAPP(hAPP(c_Relation_Oinv__image(_u14424, _u14423), hAPP(c_Relation_Oconverse(_u14424, _u14424), _u14425)), _u14426)) )).
% 12.54/12.79 cnf(matrix-6409, plain, ( ( hAPP(c_Relation_Oconverse(_u14427, _u14428), hAPP(c_Relation_Oconverse(_u14428, _u14427), _u14429)) = _u14429) )).
% 12.54/12.79 cnf(matrix-6410, plain, ( ( hAPP(c_Relation_Oconverse(_u14430, _u14431), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14430, _u14431), tc_HOL_Obool)), _u14432), _u14433)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14431, _u14430), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14430, _u14431), _u14432)), hAPP(c_Relation_Oconverse(_u14430, _u14431), _u14433))) )).
% 12.54/12.79 cnf(matrix-6411, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14437, _u14439)), hAPP(c_Relation_Oconverse(_u14439, _u14437), _u14441))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14439, _u14437)), _u14441)) )).
% 12.54/12.79 cnf(matrix-6412, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14440, _u14438)), _u14442)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14438, _u14440)), hAPP(c_Relation_Oconverse(_u14440, _u14438), _u14442))) )).
% 12.54/12.79 cnf(matrix-6413, plain, ( ( hAPP(c_Relation_Oconverse(_u14443, _u14443), c_Relation_OId__on(_u14443, _u14444)) = c_Relation_OId__on(_u14443, _u14444)) )).
% 12.54/12.79 cnf(matrix-6414, plain, ( ~c_Wellfounded_Oacyclic(_u14447, hAPP(c_Relation_Oconverse(_u14447, _u14447), _u14449)) | c_Wellfounded_Oacyclic(_u14447, _u14449) )).
% 12.54/12.79 cnf(matrix-6415, plain, ( ~c_Wellfounded_Oacyclic(_u14448, _u14450) | c_Wellfounded_Oacyclic(_u14448, hAPP(c_Relation_Oconverse(_u14448, _u14448), _u14450)) )).
% 12.54/12.79 cnf(matrix-6416, plain, ( ~c_Relation_Orefl__on(_u14454, _u14456, hAPP(c_Relation_Oconverse(_u14454, _u14454), _u14458)) | c_Relation_Orefl__on(_u14454, _u14456, _u14458) )).
% 12.54/12.79 cnf(matrix-6417, plain, ( ~c_Relation_Orefl__on(_u14455, _u14457, _u14459) | c_Relation_Orefl__on(_u14455, _u14457, hAPP(c_Relation_Oconverse(_u14455, _u14455), _u14459)) )).
% 12.54/12.79 cnf(matrix-6418, plain, ( ( c_Transitive__Closure_Otrancl(_u14460, hAPP(c_Relation_Oconverse(_u14460, _u14460), _u14461)) = hAPP(c_Relation_Oconverse(_u14460, _u14460), c_Transitive__Closure_Otrancl(_u14460, _u14461))) )).
% 12.54/12.79 cnf(matrix-6419, plain, ( ~c_Wellfounded_Owf(_u14462, hAPP(c_Relation_Oconverse(_u14462, _u14462), _u14463)) | c_Wellfounded_Owf(_u14462, hAPP(c_Relation_Oconverse(_u14462, _u14462), c_Transitive__Closure_Otrancl(_u14462, _u14463))) )).
% 12.54/12.79 cnf(matrix-6420, plain, ( ~c_Equiv__Relations_Oequiv(_u14464, _u14465, _u14466) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14464, _u14464, _u14464), hAPP(c_Relation_Oconverse(_u14464, _u14464), _u14466)), _u14466) = _u14466) )).
% 12.54/12.79 cnf(matrix-6421, plain, ( ( hAPP(c_Relation_ORange(_u14467, _u14468), hAPP(c_Relation_Oconverse(_u14468, _u14467), _u14469)) = hAPP(c_Relation_ODomain(_u14468, _u14467), _u14469)) )).
% 12.54/12.79 cnf(matrix-6422, plain, ( ( hAPP(c_Relation_ODomain(_u14470, _u14471), hAPP(c_Relation_Oconverse(_u14471, _u14470), _u14472)) = hAPP(c_Relation_ORange(_u14471, _u14470), _u14472)) )).
% 12.54/12.79 cnf(matrix-6423, plain, ( ( hAPP(c_Relation_ORange(_u14473, _u14474), _u14475) = hAPP(c_Relation_ODomain(_u14474, _u14473), hAPP(c_Relation_Oconverse(_u14473, _u14474), _u14475))) )).
% 12.54/12.79 cnf(matrix-6424, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14476, _u14476)), hAPP(hAPP(c_Product__Type_OPair(_u14476, _u14476), _u14477), _u14478)), c_Transitive__Closure_Ortrancl(_u14476, hAPP(c_Relation_Oconverse(_u14476, _u14476), _u14479)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14476, _u14476)), hAPP(hAPP(c_Product__Type_OPair(_u14476, _u14476), _u14478), _u14477)), c_Transitive__Closure_Ortrancl(_u14476, _u14479))) )).
% 12.54/12.79 cnf(matrix-6425, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14480, _u14480)), hAPP(hAPP(c_Product__Type_OPair(_u14480, _u14480), _u14481), _u14482)), c_Transitive__Closure_Ortrancl(_u14480, _u14483))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14480, _u14480)), hAPP(hAPP(c_Product__Type_OPair(_u14480, _u14480), _u14482), _u14481)), c_Transitive__Closure_Ortrancl(_u14480, hAPP(c_Relation_Oconverse(_u14480, _u14480), _u14483)))) )).
% 12.54/12.79 cnf(matrix-6426, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14484, _u14484)), hAPP(hAPP(c_Product__Type_OPair(_u14484, _u14484), _u14485), _u14486)), c_Transitive__Closure_Otrancl(_u14484, hAPP(c_Relation_Oconverse(_u14484, _u14484), _u14487)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14484, _u14484)), hAPP(hAPP(c_Product__Type_OPair(_u14484, _u14484), _u14485), _u14486)), hAPP(c_Relation_Oconverse(_u14484, _u14484), c_Transitive__Closure_Otrancl(_u14484, _u14487)))) )).
% 12.54/12.79 cnf(matrix-6427, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14488, _u14488)), hAPP(hAPP(c_Product__Type_OPair(_u14488, _u14488), _u14489), _u14490)), hAPP(c_Relation_Oconverse(_u14488, _u14488), c_Transitive__Closure_Otrancl(_u14488, _u14491)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14488, _u14488)), hAPP(hAPP(c_Product__Type_OPair(_u14488, _u14488), _u14489), _u14490)), c_Transitive__Closure_Otrancl(_u14488, hAPP(c_Relation_Oconverse(_u14488, _u14488), _u14491)))) )).
% 12.54/12.79 cnf(matrix-6428, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14497, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14499, _u14497, _u14501), _u14503)), _u14505)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14499, tc_HOL_Obool)), _u14503), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14499, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14497, _u14499, hAPP(c_Relation_Oconverse(_u14499, _u14497), _u14501)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14497, tc_HOL_Obool)), _u14505))))) )).
% 12.54/12.79 cnf(matrix-6429, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14500, tc_HOL_Obool)), _u14504), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14500, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14498, _u14500, hAPP(c_Relation_Oconverse(_u14500, _u14498), _u14502)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14498, tc_HOL_Obool)), _u14506))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14498, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14500, _u14498, _u14502), _u14504)), _u14506)) )).
% 12.54/12.79 cnf(matrix-6430, plain, ( ~c_Relation_Orefl__on(_u14507, _u14508, _u14509) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14507, _u14507), tc_HOL_Obool)), _u14509), hAPP(hAPP(c_Relation_Orel__comp(_u14507, _u14507, _u14507), hAPP(c_Relation_Oconverse(_u14507, _u14507), _u14509)), _u14509))) )).
% 12.54/12.79 cnf(matrix-6431, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14510, _u14510, _u14510), hAPP(c_Relation_Oconverse(_u14510, _u14510), _u14511)), _u14511) != _u14511) | ( hAPP(c_Relation_ODomain(_u14510, _u14510), _u14511) != _u14512) | c_Equiv__Relations_Oequiv(_u14510, _u14512, _u14511) )).
% 12.54/12.79 cnf(matrix-6432, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14513, _u14513)), _u14514)) | ~c_Wellfounded_Oacyclic(_u14513, _u14514) | c_Wellfounded_Owf(_u14513, hAPP(c_Relation_Oconverse(_u14513, _u14513), _u14514)) )).
% 12.54/12.79 cnf(matrix-6433, plain, ( ( hAPP(c_Relation_Oconverse(_u14515, _u14516), _u14517) = hAPP(c_Set_OCollect(tc_prod(_u14516, _u14515)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14516, _u14515, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14516, tc_fun(tc_prod(_u14515, _u14516), tc_HOL_Obool), tc_fun(_u14515, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14515, tc_fun(tc_fun(tc_prod(_u14515, _u14516), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14515, _u14516), tc_HOL_Obool), tc_fun(_u14515, tc_HOL_Obool)), _u14516), c_COMBC(_u14515, tc_fun(tc_prod(_u14515, _u14516), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14515, tc_prod(_u14515, _u14516)), tc_fun(_u14515, tc_fun(tc_fun(tc_prod(_u14515, _u14516), tc_HOL_Obool), tc_HOL_Obool)), _u14516), hAPP(c_COMBB(tc_prod(_u14515, _u14516), tc_fun(tc_fun(tc_prod(_u14515, _u14516), tc_HOL_Obool), tc_HOL_Obool), _u14515), c_member(tc_prod(_u14515, _u14516)))), hAPP(c_COMBC(_u14515, _u14516, tc_prod(_u14515, _u14516)), c_Product__Type_OPair(_u14515, _u14516))))), _u14517)))) )).
% 12.54/12.79 cnf(matrix-6434, plain, ( ~c_Relation_Osingle__valued(_u14518, _u14519, hAPP(c_Relation_Oconverse(_u14519, _u14518), _u14520)) | ( _u14521 = c_Orderings_Obot__class_Obot(tc_fun(_u14522, tc_HOL_Obool))) | ( hAPP(c_Relation_OImage(_u14519, _u14518, _u14520), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14522, tc_fun(_u14519, tc_HOL_Obool)), _u14521), _u14523)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14522, tc_fun(_u14518, tc_HOL_Obool)), _u14521), hAPP(hAPP(c_COMBB(tc_fun(_u14519, tc_HOL_Obool), tc_fun(_u14518, tc_HOL_Obool), _u14522), c_Relation_OImage(_u14519, _u14518, _u14520)), _u14523))) )).
% 12.54/12.79 cnf(matrix-6435, plain, ( ~c_Relation_Ototal__on(_u14527, _u14529, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14527, _u14527), tc_HOL_Obool)), _u14531), c_Relation_OId(_u14527))) | c_Relation_Ototal__on(_u14527, _u14529, _u14531) )).
% 12.54/12.79 cnf(matrix-6436, plain, ( ~c_Relation_Ototal__on(_u14528, _u14530, _u14532) | c_Relation_Ototal__on(_u14528, _u14530, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14528, _u14528), tc_HOL_Obool)), _u14532), c_Relation_OId(_u14528))) )).
% 12.54/12.79 cnf(matrix-6437, plain, ( c_Relation_Osingle__valued(_u14533, _u14533, c_Relation_OId(_u14533)) )).
% 12.54/12.79 cnf(matrix-6438, plain, ( ~c_Relation_Osingle__valued(_u14534, _u14535, _u14536) | ~c_Relation_Osingle__valued(_u14535, _u14537, _u14538) | c_Relation_Osingle__valued(_u14534, _u14537, hAPP(hAPP(c_Relation_Orel__comp(_u14534, _u14535, _u14537), _u14536), _u14538)) )).
% 12.54/12.79 cnf(matrix-6439, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14539, _u14540), tc_HOL_Obool)), _u14541), _u14542)) | ~c_Relation_Osingle__valued(_u14539, _u14540, _u14542) | c_Relation_Osingle__valued(_u14539, _u14540, _u14541) )).
% 12.54/12.79 cnf(matrix-6440, plain, ( c_Relation_Osingle__valued(_u14543, _u14543, c_Relation_OId__on(_u14543, _u14544)) )).
% 12.54/12.79 cnf(matrix-6441, plain, ( c_Relation_Ototal__on(_u14545, c_Orderings_Obot__class_Obot(tc_fun(_u14545, tc_HOL_Obool)), _u14546) )).
% 12.54/12.79 cnf(matrix-6442, plain, ( ~c_Relation_Ototal__on(_u14550, _u14552, hAPP(c_Relation_Oconverse(_u14550, _u14550), _u14554)) | c_Relation_Ototal__on(_u14550, _u14552, _u14554) )).
% 12.54/12.79 cnf(matrix-6443, plain, ( ~c_Relation_Ototal__on(_u14551, _u14553, _u14555) | c_Relation_Ototal__on(_u14551, _u14553, hAPP(c_Relation_Oconverse(_u14551, _u14551), _u14555)) )).
% 12.54/12.79 cnf(matrix-6444, plain, ( ~c_Relation_Osingle__valued(_u14556, _u14557, _u14558) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14556, _u14557)), hAPP(hAPP(c_Product__Type_OPair(_u14556, _u14557), _u14559), _u14560)), _u14558)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14556, _u14557)), hAPP(hAPP(c_Product__Type_OPair(_u14556, _u14557), _u14559), _u14561)), _u14558)) | ( _u14560 = _u14561) )).
% 12.54/12.79 cnf(matrix-6445, plain, ( ~c_Relation_Osingle__valued(_u14571, _u14573, _u14575) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14571, _u14573)), hAPP(hAPP(c_Product__Type_OPair(_u14571, _u14573), _u14564), _u14563)), _u14575)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14571, _u14573)), hAPP(hAPP(c_Product__Type_OPair(_u14571, _u14573), _u14564), _u14562)), _u14575)) | ( _u14563 = _u14562) )).
% 12.54/12.79 cnf(matrix-6446, plain, ( c_Relation_Osingle__valued(_u14572, _u14574, _u14576) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14572, _u14574)), hAPP(hAPP(c_Product__Type_OPair(_u14572, _u14574), skolem381(_u14576, _u14574, _u14572)), skolem382(_u14576, _u14574, _u14572))), _u14576)) )).
% 12.54/12.79 cnf(matrix-6447, plain, ( c_Relation_Osingle__valued(_u14572, _u14574, _u14576) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14572, _u14574)), hAPP(hAPP(c_Product__Type_OPair(_u14572, _u14574), skolem381(_u14576, _u14574, _u14572)), skolem383(_u14576, _u14574, _u14572))), _u14576)) )).
% 12.54/12.79 cnf(matrix-6448, plain, ( c_Relation_Osingle__valued(_u14572, _u14574, _u14576) | ( skolem382(_u14576, _u14574, _u14572) != skolem383(_u14576, _u14574, _u14572)) )).
% 12.54/12.79 cnf(matrix-6449, plain, ( ~c_Relation_Ototal__on(_u14584, _u14586, _u14588) | ~hBOOL(hAPP(hAPP(c_member(_u14584), _u14578), _u14586)) | ~hBOOL(hAPP(hAPP(c_member(_u14584), _u14577), _u14586)) | ( _u14578 = _u14577) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14584, _u14584)), hAPP(hAPP(c_Product__Type_OPair(_u14584, _u14584), _u14578), _u14577)), _u14588)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14584, _u14584)), hAPP(hAPP(c_Product__Type_OPair(_u14584, _u14584), _u14577), _u14578)), _u14588)) )).
% 12.54/12.79 cnf(matrix-6450, plain, ( c_Relation_Ototal__on(_u14585, _u14587, _u14589) | hBOOL(hAPP(hAPP(c_member(_u14585), skolem384(_u14589, _u14587, _u14585)), _u14587)) )).
% 12.54/12.79 cnf(matrix-6451, plain, ( c_Relation_Ototal__on(_u14585, _u14587, _u14589) | hBOOL(hAPP(hAPP(c_member(_u14585), skolem385(_u14589, _u14587, _u14585)), _u14587)) )).
% 12.54/12.79 cnf(matrix-6452, plain, ( c_Relation_Ototal__on(_u14585, _u14587, _u14589) | ( skolem384(_u14589, _u14587, _u14585) != skolem385(_u14589, _u14587, _u14585)) )).
% 12.54/12.79 cnf(matrix-6453, plain, ( c_Relation_Ototal__on(_u14585, _u14587, _u14589) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14585, _u14585)), hAPP(hAPP(c_Product__Type_OPair(_u14585, _u14585), skolem384(_u14589, _u14587, _u14585)), skolem385(_u14589, _u14587, _u14585))), _u14589)) )).
% 12.54/12.79 cnf(matrix-6454, plain, ( c_Relation_Ototal__on(_u14585, _u14587, _u14589) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14585, _u14585)), hAPP(hAPP(c_Product__Type_OPair(_u14585, _u14585), skolem385(_u14589, _u14587, _u14585)), skolem384(_u14589, _u14587, _u14585))), _u14589)) )).
% 12.54/12.79 cnf(matrix-6455, plain, ( ~c_Relation_Osingle__valued(_u14590, _u14590, _u14591) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14590, _u14590)), hAPP(hAPP(c_Product__Type_OPair(_u14590, _u14590), _u14592), _u14593)), c_Transitive__Closure_Ortrancl(_u14590, _u14591))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14590, _u14590)), hAPP(hAPP(c_Product__Type_OPair(_u14590, _u14590), _u14592), _u14594)), c_Transitive__Closure_Ortrancl(_u14590, _u14591))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14590, _u14590)), hAPP(hAPP(c_Product__Type_OPair(_u14590, _u14590), _u14593), _u14594)), c_Transitive__Closure_Ortrancl(_u14590, _u14591))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14590, _u14590)), hAPP(hAPP(c_Product__Type_OPair(_u14590, _u14590), _u14594), _u14593)), c_Transitive__Closure_Ortrancl(_u14590, _u14591))) )).
% 12.54/12.79 cnf(matrix-6456, plain, ( ~c_Relation_Osingle__valued(_u14595, _u14596, hAPP(c_Relation_Oconverse(_u14596, _u14595), _u14597)) | ( hAPP(c_Relation_OImage(_u14596, _u14595, _u14597), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14596, tc_HOL_Obool)), _u14598), _u14599)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14595, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14596, _u14595, _u14597), _u14598)), hAPP(c_Relation_OImage(_u14596, _u14595, _u14597), _u14599))) )).
% 12.54/12.79 cnf(matrix-6457, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14600, _u14600)), _u14601), c_Transitive__Closure_Ortrancl(_u14600, _u14602))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14600, _u14600)), _u14601), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u14600, _u14600), 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(_u14600, _u14600), tc_HOL_Obool), tc_fun(tc_prod(_u14600, _u14600), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u14600, _u14600), tc_HOL_Obool)), _u14602)))) )).
% 12.54/12.79 cnf(matrix-6458, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14604, _u14604)), hAPP(hAPP(c_Product__Type_OPair(_u14604, _u14604), skolem386(_u14605, _u14604)), skolem386(_u14605, _u14604))), c_Transitive__Closure_Otrancl(_u14604, _u14605))) | c_Wellfounded_Oacyclic(_u14604, _u14605) )).
% 12.54/12.79 cnf(matrix-6459, plain, ( ~c_Relation_Osingle__valued(_u14606, _u14606, _u14607) | c_Relation_Osingle__valued(_u14606, _u14606, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14606, _u14606), tc_HOL_Obool), _u14608), _u14607)) )).
% 12.54/12.79 cnf(matrix-6460, plain, ( ( hAPP(_u14609, hAPP(hAPP(hAPP(c_Nat_Ocompow(_u14610, _u14610), _u14611), _u14609), _u14612)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(_u14610, _u14610), _u14611), _u14609), hAPP(_u14609, _u14612))) )).
% 12.54/12.79 cnf(matrix-6461, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14613, _u14613), _u14614), hAPP(hAPP(c_Nat_Ocompow(_u14613, _u14613), _u14615), _u14616)) = hAPP(hAPP(c_Nat_Ocompow(_u14613, _u14613), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u14615), _u14614)), _u14616)) )).
% 12.54/12.79 cnf(matrix-6462, plain, ( ~c_Wellfounded_Owf(_u14617, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14617, _u14617), tc_HOL_Obool), _u14618), _u14619)) | c_Wellfounded_Owf(_u14617, _u14619) )).
% 12.54/12.79 cnf(matrix-6463, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_fun(_u14620, _u14621), tc_fun(_u14620, _u14621)), _u14622), c_Fun_Ocomp(_u14621, _u14621, _u14620, _u14623)) = c_Fun_Ocomp(_u14621, _u14621, _u14620, hAPP(hAPP(c_Nat_Ocompow(_u14621, _u14621), _u14622), _u14623))) )).
% 12.54/12.79 cnf(matrix-6464, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14624, _u14624), tc_HOL_Obool), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u14625) = _u14625) )).
% 12.54/12.79 cnf(matrix-6465, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14626, _u14626, _u14626), _u14627), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14626, _u14626), tc_HOL_Obool), _u14628), _u14627)) = hAPP(hAPP(c_Relation_Orel__comp(_u14626, _u14626, _u14626), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14626, _u14626), tc_HOL_Obool), _u14628), _u14627)), _u14627)) )).
% 12.54/12.79 cnf(matrix-6466, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14634, _u14634)), _u14636), c_Transitive__Closure_Ortrancl(_u14634, _u14638))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14634, _u14634)), _u14636), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14634, _u14634), tc_HOL_Obool), skolem387(_u14638, _u14636, _u14634)), _u14638))) )).
% 12.54/12.79 cnf(matrix-6467, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14635, _u14635)), _u14637), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14635, _u14635), tc_HOL_Obool), _u14630), _u14639))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14635, _u14635)), _u14637), c_Transitive__Closure_Ortrancl(_u14635, _u14639))) )).
% 12.54/12.79 cnf(matrix-6468, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14640, _u14640)), _u14641), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14640, _u14640), tc_HOL_Obool), _u14642), _u14643))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14640, _u14640)), _u14641), c_Transitive__Closure_Ortrancl(_u14640, _u14643))) )).
% 12.54/12.79 cnf(matrix-6469, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14644, _u14644), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14645)), _u14646) = hAPP(hAPP(c_Relation_Orel__comp(_u14644, _u14644, _u14644), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14644, _u14644), tc_HOL_Obool), _u14645), _u14646)), _u14646)) )).
% 12.54/12.79 cnf(matrix-6470, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14647, _u14647), tc_HOL_Obool), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14648), _u14649)), _u14650) = hAPP(hAPP(c_Relation_Orel__comp(_u14647, _u14647, _u14647), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14647, _u14647), tc_HOL_Obool), _u14648), _u14650)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14647, _u14647), tc_HOL_Obool), _u14649), _u14650))) )).
% 12.54/12.79 cnf(matrix-6471, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14651, _u14651), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14652) = c_Relation_OId(_u14651)) )).
% 12.54/12.79 cnf(matrix-6472, plain, ( ( _u14654 = _u14655) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14653, _u14653)), hAPP(hAPP(c_Product__Type_OPair(_u14653, _u14653), _u14654), _u14655)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14653, _u14653), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14656))) )).
% 12.54/12.79 cnf(matrix-6473, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14657, _u14657)), hAPP(hAPP(c_Product__Type_OPair(_u14657, _u14657), _u14658), _u14658)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14657, _u14657), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14659))) )).
% 12.54/12.79 cnf(matrix-6474, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14660, _u14660)), hAPP(hAPP(c_Product__Type_OPair(_u14660, _u14660), _u14661), _u14662)), _u14663)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14660, _u14660)), hAPP(hAPP(c_Product__Type_OPair(_u14660, _u14660), _u14662), _u14664)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14660, _u14660), tc_HOL_Obool), _u14665), _u14663))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14660, _u14660)), hAPP(hAPP(c_Product__Type_OPair(_u14660, _u14660), _u14661), _u14664)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14660, _u14660), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14665)), _u14663))) )).
% 12.54/12.79 cnf(matrix-6475, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14666, _u14666)), hAPP(hAPP(c_Product__Type_OPair(_u14666, _u14666), _u14667), _u14668)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14666, _u14666), tc_HOL_Obool), _u14669), _u14670))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14666, _u14666)), hAPP(hAPP(c_Product__Type_OPair(_u14666, _u14666), _u14668), _u14671)), _u14670)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14666, _u14666)), hAPP(hAPP(c_Product__Type_OPair(_u14666, _u14666), _u14667), _u14671)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14666, _u14666), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14669)), _u14670))) )).
% 12.54/12.79 cnf(matrix-6476, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14672, _u14672), hAPP(c_Nat_OSuc, _u14673)), _u14674) = hAPP(c_Fun_Ocomp(_u14672, _u14672, _u14672, _u14674), hAPP(hAPP(c_Nat_Ocompow(_u14672, _u14672), _u14673), _u14674))) )).
% 12.54/12.79 cnf(matrix-6477, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14675, _u14675), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14676), _u14677)), _u14678) = hAPP(c_Fun_Ocomp(_u14675, _u14675, _u14675, hAPP(hAPP(c_Nat_Ocompow(_u14675, _u14675), _u14676), _u14678)), hAPP(hAPP(c_Nat_Ocompow(_u14675, _u14675), _u14677), _u14678))) )).
% 12.54/12.79 cnf(matrix-6478, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14679, _u14679), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14680) = c_Fun_Oid(_u14679)) )).
% 12.54/12.79 cnf(matrix-6479, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14686, _u14686)), _u14688), c_Transitive__Closure_Otrancl(_u14686, _u14690))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem388(_u14690, _u14688, _u14686))) )).
% 12.54/12.79 cnf(matrix-6480, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14686, _u14686)), _u14688), c_Transitive__Closure_Otrancl(_u14686, _u14690))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14686, _u14686)), _u14688), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14686, _u14686), tc_HOL_Obool), skolem388(_u14690, _u14688, _u14686)), _u14690))) )).
% 12.54/12.79 cnf(matrix-6481, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14682)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14687, _u14687)), _u14689), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14687, _u14687), tc_HOL_Obool), _u14682), _u14691))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14687, _u14687)), _u14689), c_Transitive__Closure_Otrancl(_u14687, _u14691))) )).
% 12.54/12.79 cnf(matrix-6482, plain, ( ( c_Transitive__Closure_Ortrancl(_u14692, _u14693) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u14692, _u14692), 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(_u14692, _u14692), tc_HOL_Obool), tc_fun(tc_prod(_u14692, _u14692), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u14692, _u14692), tc_HOL_Obool)), _u14693))) )).
% 12.54/12.79 cnf(matrix-6483, plain, ( ( c_Nat_Ofunpow(_u14694) = c_Nat_Ocompow(_u14694, _u14694)) )).
% 12.54/12.79 cnf(matrix-6484, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14697, _u14697)), hAPP(hAPP(c_Product__Type_OPair(_u14697, _u14697), _u14698), _u14699)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14697, _u14697), tc_HOL_Obool), _u14700), _u14701))) | ( _u14700 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u14700 = hAPP(c_Nat_OSuc, skolem390(_u14701, _u14700, _u14699, _u14698, _u14697))) )).
% 12.54/12.79 cnf(matrix-6485, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14697, _u14697)), hAPP(hAPP(c_Product__Type_OPair(_u14697, _u14697), _u14698), _u14699)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14697, _u14697), tc_HOL_Obool), _u14700), _u14701))) | ( _u14700 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14697, _u14697)), hAPP(hAPP(c_Product__Type_OPair(_u14697, _u14697), _u14698), skolem389(_u14701, _u14700, _u14699, _u14698, _u14697))), _u14701)) )).
% 12.54/12.79 cnf(matrix-6486, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14697, _u14697)), hAPP(hAPP(c_Product__Type_OPair(_u14697, _u14697), _u14698), _u14699)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14697, _u14697), tc_HOL_Obool), _u14700), _u14701))) | ( _u14700 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14697, _u14697)), hAPP(hAPP(c_Product__Type_OPair(_u14697, _u14697), skolem389(_u14701, _u14700, _u14699, _u14698, _u14697)), _u14699)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14697, _u14697), tc_HOL_Obool), skolem390(_u14701, _u14700, _u14699, _u14698, _u14697)), _u14701))) )).
% 12.54/12.79 cnf(matrix-6487, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14697, _u14697)), hAPP(hAPP(c_Product__Type_OPair(_u14697, _u14697), _u14698), _u14699)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14697, _u14697), tc_HOL_Obool), _u14700), _u14701))) | ( _u14698 = _u14699) | ( _u14700 = hAPP(c_Nat_OSuc, skolem390(_u14701, _u14700, _u14699, _u14698, _u14697))) )).
% 12.54/12.79 cnf(matrix-6488, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14697, _u14697)), hAPP(hAPP(c_Product__Type_OPair(_u14697, _u14697), _u14698), _u14699)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14697, _u14697), tc_HOL_Obool), _u14700), _u14701))) | ( _u14698 = _u14699) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14697, _u14697)), hAPP(hAPP(c_Product__Type_OPair(_u14697, _u14697), _u14698), skolem389(_u14701, _u14700, _u14699, _u14698, _u14697))), _u14701)) )).
% 12.54/12.79 cnf(matrix-6489, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14697, _u14697)), hAPP(hAPP(c_Product__Type_OPair(_u14697, _u14697), _u14698), _u14699)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14697, _u14697), tc_HOL_Obool), _u14700), _u14701))) | ( _u14698 = _u14699) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14697, _u14697)), hAPP(hAPP(c_Product__Type_OPair(_u14697, _u14697), skolem389(_u14701, _u14700, _u14699, _u14698, _u14697)), _u14699)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14697, _u14697), tc_HOL_Obool), skolem390(_u14701, _u14700, _u14699, _u14698, _u14697)), _u14701))) )).
% 12.54/12.79 cnf(matrix-6490, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14704, _u14704)), hAPP(hAPP(c_Product__Type_OPair(_u14704, _u14704), _u14705), _u14706)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14704, _u14704), tc_HOL_Obool), _u14707), _u14708))) | ( _u14707 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u14707 = hAPP(c_Nat_OSuc, skolem392(_u14708, _u14707, _u14706, _u14705, _u14704))) )).
% 12.54/12.79 cnf(matrix-6491, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14704, _u14704)), hAPP(hAPP(c_Product__Type_OPair(_u14704, _u14704), _u14705), _u14706)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14704, _u14704), tc_HOL_Obool), _u14707), _u14708))) | ( _u14707 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14704, _u14704)), hAPP(hAPP(c_Product__Type_OPair(_u14704, _u14704), _u14705), skolem391(_u14708, _u14707, _u14706, _u14705, _u14704))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14704, _u14704), tc_HOL_Obool), skolem392(_u14708, _u14707, _u14706, _u14705, _u14704)), _u14708))) )).
% 12.54/12.79 cnf(matrix-6492, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14704, _u14704)), hAPP(hAPP(c_Product__Type_OPair(_u14704, _u14704), _u14705), _u14706)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14704, _u14704), tc_HOL_Obool), _u14707), _u14708))) | ( _u14707 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14704, _u14704)), hAPP(hAPP(c_Product__Type_OPair(_u14704, _u14704), skolem391(_u14708, _u14707, _u14706, _u14705, _u14704)), _u14706)), _u14708)) )).
% 12.54/12.79 cnf(matrix-6493, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14704, _u14704)), hAPP(hAPP(c_Product__Type_OPair(_u14704, _u14704), _u14705), _u14706)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14704, _u14704), tc_HOL_Obool), _u14707), _u14708))) | ( _u14705 = _u14706) | ( _u14707 = hAPP(c_Nat_OSuc, skolem392(_u14708, _u14707, _u14706, _u14705, _u14704))) )).
% 12.54/12.79 cnf(matrix-6494, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14704, _u14704)), hAPP(hAPP(c_Product__Type_OPair(_u14704, _u14704), _u14705), _u14706)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14704, _u14704), tc_HOL_Obool), _u14707), _u14708))) | ( _u14705 = _u14706) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14704, _u14704)), hAPP(hAPP(c_Product__Type_OPair(_u14704, _u14704), _u14705), skolem391(_u14708, _u14707, _u14706, _u14705, _u14704))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14704, _u14704), tc_HOL_Obool), skolem392(_u14708, _u14707, _u14706, _u14705, _u14704)), _u14708))) )).
% 12.54/12.79 cnf(matrix-6495, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14704, _u14704)), hAPP(hAPP(c_Product__Type_OPair(_u14704, _u14704), _u14705), _u14706)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14704, _u14704), tc_HOL_Obool), _u14707), _u14708))) | ( _u14705 = _u14706) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14704, _u14704)), hAPP(hAPP(c_Product__Type_OPair(_u14704, _u14704), skolem391(_u14708, _u14707, _u14706, _u14705, _u14704)), _u14706)), _u14708)) )).
% 12.54/12.79 cnf(matrix-6496, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14711, _u14711)), hAPP(hAPP(c_Product__Type_OPair(_u14711, _u14711), _u14712), _u14713)), c_Transitive__Closure_Ortrancl(_u14711, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14711, _u14711), tc_HOL_Obool)), _u14714), _u14715)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14711, _u14711)), hAPP(hAPP(c_Product__Type_OPair(_u14711, _u14711), _u14712), _u14713)), c_Transitive__Closure_Ortrancl(_u14711, _u14714))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14711, _u14711)), hAPP(hAPP(c_Product__Type_OPair(_u14711, _u14711), _u14712), skolem393(_u14715, _u14714, _u14713, _u14712, _u14711))), c_Transitive__Closure_Ortrancl(_u14711, _u14714))) )).
% 12.54/12.79 cnf(matrix-6497, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14711, _u14711)), hAPP(hAPP(c_Product__Type_OPair(_u14711, _u14711), _u14712), _u14713)), c_Transitive__Closure_Ortrancl(_u14711, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14711, _u14711), tc_HOL_Obool)), _u14714), _u14715)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14711, _u14711)), hAPP(hAPP(c_Product__Type_OPair(_u14711, _u14711), _u14712), _u14713)), c_Transitive__Closure_Ortrancl(_u14711, _u14714))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14711, _u14711)), hAPP(hAPP(c_Product__Type_OPair(_u14711, _u14711), skolem393(_u14715, _u14714, _u14713, _u14712, _u14711)), skolem394(_u14715, _u14714, _u14713, _u14712, _u14711))), _u14715)) )).
% 12.54/12.79 cnf(matrix-6498, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14711, _u14711)), hAPP(hAPP(c_Product__Type_OPair(_u14711, _u14711), _u14712), _u14713)), c_Transitive__Closure_Ortrancl(_u14711, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14711, _u14711), tc_HOL_Obool)), _u14714), _u14715)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14711, _u14711)), hAPP(hAPP(c_Product__Type_OPair(_u14711, _u14711), _u14712), _u14713)), c_Transitive__Closure_Ortrancl(_u14711, _u14714))) | ( skolem393(_u14715, _u14714, _u14713, _u14712, _u14711) != skolem394(_u14715, _u14714, _u14713, _u14712, _u14711)) )).
% 12.54/12.79 cnf(matrix-6499, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14718, _u14718)), hAPP(hAPP(c_Product__Type_OPair(_u14718, _u14718), _u14719), _u14720)), c_Transitive__Closure_Ortrancl(_u14718, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14718, _u14718), tc_HOL_Obool)), _u14721), _u14722)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14718, _u14718)), hAPP(hAPP(c_Product__Type_OPair(_u14718, _u14718), _u14719), _u14720)), c_Transitive__Closure_Ortrancl(_u14718, _u14721))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14718, _u14718)), hAPP(hAPP(c_Product__Type_OPair(_u14718, _u14718), skolem395(_u14722, _u14721, _u14720, _u14719, _u14718)), _u14720)), c_Transitive__Closure_Ortrancl(_u14718, _u14721))) )).
% 12.54/12.79 cnf(matrix-6500, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14718, _u14718)), hAPP(hAPP(c_Product__Type_OPair(_u14718, _u14718), _u14719), _u14720)), c_Transitive__Closure_Ortrancl(_u14718, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14718, _u14718), tc_HOL_Obool)), _u14721), _u14722)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14718, _u14718)), hAPP(hAPP(c_Product__Type_OPair(_u14718, _u14718), _u14719), _u14720)), c_Transitive__Closure_Ortrancl(_u14718, _u14721))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14718, _u14718)), hAPP(hAPP(c_Product__Type_OPair(_u14718, _u14718), skolem396(_u14722, _u14721, _u14720, _u14719, _u14718)), skolem395(_u14722, _u14721, _u14720, _u14719, _u14718))), _u14722)) )).
% 12.54/12.79 cnf(matrix-6501, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14718, _u14718)), hAPP(hAPP(c_Product__Type_OPair(_u14718, _u14718), _u14719), _u14720)), c_Transitive__Closure_Ortrancl(_u14718, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14718, _u14718), tc_HOL_Obool)), _u14721), _u14722)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14718, _u14718)), hAPP(hAPP(c_Product__Type_OPair(_u14718, _u14718), _u14719), _u14720)), c_Transitive__Closure_Ortrancl(_u14718, _u14721))) | ( skolem396(_u14722, _u14721, _u14720, _u14719, _u14718) != skolem395(_u14722, _u14721, _u14720, _u14719, _u14718)) )).
% 12.54/12.79 cnf(matrix-6502, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14724, _u14724)), hAPP(hAPP(c_Product__Type_OPair(_u14724, _u14724), _u14725), _u14726)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14724, _u14724), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14727)), _u14728))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14724, _u14724)), hAPP(hAPP(c_Product__Type_OPair(_u14724, _u14724), _u14725), skolem397(_u14728, _u14727, _u14726, _u14725, _u14724))), _u14728)) )).
% 12.54/12.79 cnf(matrix-6503, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14724, _u14724)), hAPP(hAPP(c_Product__Type_OPair(_u14724, _u14724), _u14725), _u14726)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14724, _u14724), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14727)), _u14728))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14724, _u14724)), hAPP(hAPP(c_Product__Type_OPair(_u14724, _u14724), skolem397(_u14728, _u14727, _u14726, _u14725, _u14724)), _u14726)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14724, _u14724), tc_HOL_Obool), _u14727), _u14728))) )).
% 12.54/12.79 cnf(matrix-6504, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14730, _u14730)), hAPP(hAPP(c_Product__Type_OPair(_u14730, _u14730), _u14731), _u14732)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14730, _u14730), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14733)), _u14734))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14730, _u14730)), hAPP(hAPP(c_Product__Type_OPair(_u14730, _u14730), _u14731), skolem398(_u14734, _u14733, _u14732, _u14731, _u14730))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14730, _u14730), tc_HOL_Obool), _u14733), _u14734))) )).
% 12.54/12.79 cnf(matrix-6505, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14730, _u14730)), hAPP(hAPP(c_Product__Type_OPair(_u14730, _u14730), _u14731), _u14732)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14730, _u14730), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14733)), _u14734))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14730, _u14730)), hAPP(hAPP(c_Product__Type_OPair(_u14730, _u14730), skolem398(_u14734, _u14733, _u14732, _u14731, _u14730)), _u14732)), _u14734)) )).
% 12.54/12.79 cnf(matrix-6506, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14736, _u14736)), hAPP(hAPP(c_Product__Type_OPair(_u14736, _u14736), _u14737), _u14738)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14736, _u14736), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14739)), _u14740))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14736, _u14736)), hAPP(hAPP(c_Product__Type_OPair(_u14736, _u14736), _u14737), skolem399(_u14740, _u14739, _u14738, _u14737, _u14736))), _u14740)) )).
% 12.54/12.79 cnf(matrix-6507, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14736, _u14736)), hAPP(hAPP(c_Product__Type_OPair(_u14736, _u14736), _u14737), _u14738)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14736, _u14736), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14739)), _u14740))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14736, _u14736)), hAPP(hAPP(c_Product__Type_OPair(_u14736, _u14736), skolem399(_u14740, _u14739, _u14738, _u14737, _u14736)), _u14738)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14736, _u14736), tc_HOL_Obool), _u14739), _u14740))) )).
% 12.54/12.79 cnf(matrix-6508, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14742, _u14742)), hAPP(hAPP(c_Product__Type_OPair(_u14742, _u14742), _u14743), _u14744)), c_Transitive__Closure_Otrancl(_u14742, _u14745))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14742, _u14742)), hAPP(hAPP(c_Product__Type_OPair(_u14742, _u14742), _u14743), skolem400(_u14745, _u14744, _u14743, _u14742))), _u14745)) )).
% 12.54/12.79 cnf(matrix-6509, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14742, _u14742)), hAPP(hAPP(c_Product__Type_OPair(_u14742, _u14742), _u14743), _u14744)), c_Transitive__Closure_Otrancl(_u14742, _u14745))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14742, _u14742)), hAPP(hAPP(c_Product__Type_OPair(_u14742, _u14742), skolem400(_u14745, _u14744, _u14743, _u14742)), _u14744)), c_Transitive__Closure_Ortrancl(_u14742, _u14745))) )).
% 12.54/12.79 cnf(matrix-6510, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14747, _u14747)), hAPP(hAPP(c_Product__Type_OPair(_u14747, _u14747), _u14748), _u14749)), c_Transitive__Closure_Otrancl(_u14747, _u14750))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14747, _u14747)), hAPP(hAPP(c_Product__Type_OPair(_u14747, _u14747), _u14748), skolem401(_u14750, _u14749, _u14748, _u14747))), c_Transitive__Closure_Ortrancl(_u14747, _u14750))) )).
% 12.54/12.79 cnf(matrix-6511, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14747, _u14747)), hAPP(hAPP(c_Product__Type_OPair(_u14747, _u14747), _u14748), _u14749)), c_Transitive__Closure_Otrancl(_u14747, _u14750))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14747, _u14747)), hAPP(hAPP(c_Product__Type_OPair(_u14747, _u14747), skolem401(_u14750, _u14749, _u14748, _u14747)), _u14749)), _u14750)) )).
% 12.54/12.79 cnf(matrix-6512, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14752, _u14752)), _u14753), c_Relation_OId(_u14752))) | ( _u14753 = hAPP(hAPP(c_Product__Type_OPair(_u14752, _u14752), skolem402(_u14753, _u14752)), skolem402(_u14753, _u14752))) )).
% 12.54/12.79 cnf(matrix-6513, 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)))), _u14755)) = 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)))), _u14756))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem403(_u14756, _u14755))) )).
% 12.54/12.79 cnf(matrix-6514, 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)))), _u14755)) = 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)))), _u14756))) | hBOOL(hAPP(_u14755, skolem403(_u14756, _u14755))) | hBOOL(hAPP(_u14756, skolem403(_u14756, _u14755))) )).
% 12.54/12.79 cnf(matrix-6515, 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)))), _u14755)) = 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)))), _u14756))) | ~hBOOL(hAPP(_u14756, skolem403(_u14756, _u14755))) | ~hBOOL(hAPP(_u14755, skolem403(_u14756, _u14755))) )).
% 12.54/12.79 cnf(matrix-6516, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14759, _u14760)), _u14761), hAPP(c_Relation_Oconverse(_u14760, _u14759), _u14762))) | ( _u14761 = hAPP(hAPP(c_Product__Type_OPair(_u14759, _u14760), skolem405(_u14762, _u14761, _u14760, _u14759)), skolem404(_u14762, _u14761, _u14760, _u14759))) )).
% 12.54/12.79 cnf(matrix-6517, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14759, _u14760)), _u14761), hAPP(c_Relation_Oconverse(_u14760, _u14759), _u14762))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14760, _u14759)), hAPP(hAPP(c_Product__Type_OPair(_u14760, _u14759), skolem404(_u14762, _u14761, _u14760, _u14759)), skolem405(_u14762, _u14761, _u14760, _u14759))), _u14762)) )).
% 12.54/12.79 cnf(matrix-6518, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14766, _u14767)), _u14768), hAPP(hAPP(c_Relation_Orel__comp(_u14766, _u14769, _u14767), _u14770), _u14771))) | ( _u14768 = hAPP(hAPP(c_Product__Type_OPair(_u14766, _u14767), skolem406(_u14771, _u14770, _u14769, _u14768, _u14767, _u14766)), skolem408(_u14771, _u14770, _u14769, _u14768, _u14767, _u14766))) )).
% 12.54/12.79 cnf(matrix-6519, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14766, _u14767)), _u14768), hAPP(hAPP(c_Relation_Orel__comp(_u14766, _u14769, _u14767), _u14770), _u14771))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14766, _u14769)), hAPP(hAPP(c_Product__Type_OPair(_u14766, _u14769), skolem406(_u14771, _u14770, _u14769, _u14768, _u14767, _u14766)), skolem407(_u14771, _u14770, _u14769, _u14768, _u14767, _u14766))), _u14770)) )).
% 12.54/12.79 cnf(matrix-6520, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14766, _u14767)), _u14768), hAPP(hAPP(c_Relation_Orel__comp(_u14766, _u14769, _u14767), _u14770), _u14771))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14769, _u14767)), hAPP(hAPP(c_Product__Type_OPair(_u14769, _u14767), skolem407(_u14771, _u14770, _u14769, _u14768, _u14767, _u14766)), skolem408(_u14771, _u14770, _u14769, _u14768, _u14767, _u14766))), _u14771)) )).
% 12.54/12.79 cnf(matrix-6521, plain, ( ( c_Nitpick_Oplus__frac(_u14772, _u14773, _u14774) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u14772), c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(_u14772), _u14773), hAPP(c_Nitpick_Odenom(_u14772), _u14774))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, _u14772), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, _u14772), tc_Int_Oint), c_Nitpick_Ofrac(_u14772)), 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(_u14772), _u14773))), 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(_u14772), _u14773))))), 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(_u14772), _u14774))), 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(_u14772), _u14774)))))), c_COMBI(tc_Int_Oint)))) )).
% 12.54/12.79 cnf(matrix-6522, plain, ( ( c_Product__Type_Ointernal__split(_u14775, _u14776, _u14777) = c_Product__Type_Oprod_Oprod__case(_u14775, _u14776, _u14777)) )).
% 12.54/12.79 cnf(matrix-6523, plain, ( ( hAPP(hAPP(c_Product__Type_Ointernal__split(_u14778, _u14779, _u14780), _u14781), hAPP(hAPP(c_Product__Type_OPair(_u14778, _u14779), _u14782), _u14783)) = hAPP(hAPP(_u14781, _u14782), _u14783)) )).
% 12.54/12.79 cnf(matrix-6524, plain, ( ( c_Nitpick_Otimes__frac(_u14784, _u14785, _u14786) = hAPP(hAPP(c_Nitpick_Ofrac(_u14784), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14784), _u14785)), hAPP(c_Nitpick_Onum(_u14784), _u14786))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Odenom(_u14784), _u14785)), hAPP(c_Nitpick_Odenom(_u14784), _u14786)))) )).
% 12.54/12.79 cnf(matrix-6525, plain, ( ~class_Rings_Oinverse(_u14787) | ~class_Rings_Oring__1(_u14787) | ( c_Nitpick_Oof__frac(_u14788, _u14787, _u14789) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u14787), hAPP(c_Int_Oring__1__class_Oof__int(_u14787), hAPP(c_Nitpick_Onum(_u14788), _u14789))), hAPP(c_Int_Oring__1__class_Oof__int(_u14787), hAPP(c_Nitpick_Odenom(_u14788), _u14789)))) )).
% 12.54/12.79 cnf(matrix-6526, plain, ( ( c_Nitpick_Oinverse__frac(_u14790, _u14791) = hAPP(hAPP(c_Nitpick_Ofrac(_u14790), hAPP(c_Nitpick_Odenom(_u14790), _u14791)), hAPP(c_Nitpick_Onum(_u14790), _u14791))) )).
% 12.54/12.79 cnf(matrix-6527, plain, ( ( c_Nitpick_Ouminus__frac(_u14792, _u14793) = c_Nitpick_OAbs__Frac(_u14792, 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(_u14792), _u14793))), hAPP(c_Nitpick_Odenom(_u14792), _u14793)))) )).
% 12.54/12.79 cnf(matrix-6528, plain, ( ~c_Nitpick_Oless__frac(_u14797, _u14799, _u14801) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14797), c_Nitpick_Oplus__frac(_u14797, _u14799, c_Nitpick_Ouminus__frac(_u14797, _u14801)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.79 cnf(matrix-6529, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14798), c_Nitpick_Oplus__frac(_u14798, _u14800, c_Nitpick_Ouminus__frac(_u14798, _u14802)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__frac(_u14798, _u14800, _u14802) )).
% 12.54/12.79 cnf(matrix-6530, plain, ( ~c_Nitpick_Oless__eq__frac(_u14806, _u14808, _u14810) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14806), c_Nitpick_Oplus__frac(_u14806, _u14808, c_Nitpick_Ouminus__frac(_u14806, _u14810)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.54/12.79 cnf(matrix-6531, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14807), c_Nitpick_Oplus__frac(_u14807, _u14809, c_Nitpick_Ouminus__frac(_u14807, _u14811)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__eq__frac(_u14807, _u14809, _u14811) )).
% 12.54/12.79 cnf(matrix-6532, plain, ( ( c_Nitpick_Odenom(_u14812) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u14812, c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u14812))) )).
% 12.54/12.79 cnf(matrix-6533, plain, ( ( c_Nitpick_Onum(_u14813) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u14813, c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u14813))) )).
% 12.54/12.79 cnf(matrix-6534, plain, ( ( c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.79 cnf(matrix-6535, plain, ( ( c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.79 cnf(matrix-6536, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem409(_u14816, _u14815)), hAPP(_u14815, skolem409(_u14816, _u14815)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), _u14815)), _u14816)))) )).
% 12.54/12.79 cnf(matrix-6537, plain, ( ( c_List_Olenlex(_u14817, _u14818) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, tc_List_Olist(_u14817)), tc_List_Olist(_u14817)), c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_List_Olist(_u14817), c_Wellfounded_Oless__than, c_List_Olex(_u14817, _u14818))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14817), tc_List_Olist(_u14817), tc_prod(tc_Nat_Onat, tc_List_Olist(_u14817))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_List_Olist(_u14817), tc_prod(tc_Nat_Onat, tc_List_Olist(_u14817))), tc_List_Olist(_u14817)), c_Product__Type_OPair(tc_Nat_Onat, tc_List_Olist(_u14817))), c_Nat_Osize__class_Osize(tc_List_Olist(_u14817)))), c_COMBI(tc_List_Olist(_u14817))))) )).
% 12.54/12.79 cnf(matrix-6538, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14819), tc_List_Olist(_u14819))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14819), tc_List_Olist(_u14819)), _u14820), _u14821)), hAPP(c_List_Olexn(_u14819, _u14822), _u14823))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14819)), _u14820) = _u14823) )).
% 12.54/12.79 cnf(matrix-6539, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14819), tc_List_Olist(_u14819))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14819), tc_List_Olist(_u14819)), _u14820), _u14821)), hAPP(c_List_Olexn(_u14819, _u14822), _u14823))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14819)), _u14821) = _u14823) )).
% 12.54/12.79 cnf(matrix-6540, plain, ( ( _u14825 != _u14826) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14824)), _u14825) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14824)), _u14826)) )).
% 12.54/12.79 cnf(matrix-6541, plain, ( ( c_List_Olenlex(_u14827, _u14828) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u14827), tc_List_Olist(_u14827))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u14827), tc_List_Olist(_u14827), tc_HOL_Obool), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14827), tc_fun(tc_List_Olist(_u14827), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14827), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14827), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u14827), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14827), tc_HOL_Obool)), tc_List_Olist(_u14827)), c_COMBS(tc_List_Olist(_u14827), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14827), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14827), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u14827)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14827)), c_fdisj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14827), tc_fun(tc_List_Olist(_u14827), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14827), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14827), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14827), tc_HOL_Obool)), tc_List_Olist(_u14827)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u14827))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14827)), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u14827))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u14827)))))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14827), tc_fun(tc_List_Olist(_u14827), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14827), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14827), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u14827), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14827), tc_HOL_Obool)), tc_List_Olist(_u14827)), c_COMBS(tc_List_Olist(_u14827), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14827), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14827), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u14827)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14827)), c_fconj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14827), tc_fun(tc_List_Olist(_u14827), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14827), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14827), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14827), tc_HOL_Obool)), tc_List_Olist(_u14827)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u14827))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14827)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14827))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u14827)))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14827), tc_fun(tc_prod(tc_List_Olist(_u14827), tc_List_Olist(_u14827)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14827), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14827), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14827), tc_List_Olist(_u14827)), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14827), tc_List_Olist(_u14827)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14827), tc_HOL_Obool)), tc_List_Olist(_u14827)), c_COMBC(tc_List_Olist(_u14827), tc_fun(tc_prod(tc_List_Olist(_u14827), tc_List_Olist(_u14827)), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14827), tc_prod(tc_List_Olist(_u14827), tc_List_Olist(_u14827))), tc_fun(tc_List_Olist(_u14827), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14827), tc_List_Olist(_u14827)), tc_HOL_Obool), tc_HOL_Obool)), tc_List_Olist(_u14827)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u14827), tc_List_Olist(_u14827)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14827), tc_List_Olist(_u14827)), tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u14827)), c_member(tc_prod(tc_List_Olist(_u14827), tc_List_Olist(_u14827))))), c_Product__Type_OPair(tc_List_Olist(_u14827), tc_List_Olist(_u14827))))), c_List_Olex(_u14827, _u14828))))))) )).
% 12.54/12.79 cnf(matrix-6542, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14829)), c_List_Osublist(_u14829, _u14830, _u14831)) = 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(_u14829)), _u14830)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u14831))))) )).
% 12.54/12.79 cnf(matrix-6543, plain, ( ( hAPP(c_List_Olexn(_u14832, _u14833), hAPP(c_Nat_OSuc, _u14834)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(_u14832), tc_List_Olist(_u14832)), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_prod(tc_prod(_u14832, tc_List_Olist(_u14832)), tc_prod(_u14832, tc_List_Olist(_u14832))), tc_prod(tc_List_Olist(_u14832), tc_List_Olist(_u14832)), c_Product__Type_Omap__pair(tc_prod(_u14832, tc_List_Olist(_u14832)), tc_List_Olist(_u14832), tc_prod(_u14832, tc_List_Olist(_u14832)), tc_List_Olist(_u14832), hAPP(c_Product__Type_Oprod_Oprod__case(_u14832, tc_List_Olist(_u14832), tc_List_Olist(_u14832)), c_List_Olist_OCons(_u14832)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14832, tc_List_Olist(_u14832), tc_List_Olist(_u14832)), c_List_Olist_OCons(_u14832)))), c_Wellfounded_Olex__prod(_u14832, tc_List_Olist(_u14832), _u14833, hAPP(c_List_Olexn(_u14832, _u14833), _u14834)))), hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u14832), tc_List_Olist(_u14832))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u14832), tc_List_Olist(_u14832), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14832), tc_fun(tc_List_Olist(_u14832), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14832), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14832), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14832), tc_HOL_Obool)), tc_List_Olist(_u14832)), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u14832))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14832)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14832), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14832)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14832)))), hAPP(c_Nat_OSuc, _u14834))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14832), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14832)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14832)))), hAPP(c_Nat_OSuc, _u14834))))))) )).
% 12.54/12.79 cnf(matrix-6544, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14835)), _u14836)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14835)), _u14837))) | ( _u14836 != hAPP(hAPP(c_List_Olist_OCons(_u14835), _u14838), _u14837)) )).
% 12.54/12.79 cnf(matrix-6545, plain, ( ( _u14839 != hAPP(hAPP(c_List_Olist_OCons(_u14840), _u14841), _u14839)) )).
% 12.54/12.79 cnf(matrix-6546, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u14842), _u14843), _u14844) != _u14844) )).
% 12.54/12.79 cnf(matrix-6547, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u14850), _u14852), _u14854) != hAPP(hAPP(c_List_Olist_OCons(_u14850), _u14856), _u14858)) | ( _u14852 = _u14856) )).
% 12.54/12.79 cnf(matrix-6548, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u14850), _u14852), _u14854) != hAPP(hAPP(c_List_Olist_OCons(_u14850), _u14856), _u14858)) | ( _u14854 = _u14858) )).
% 12.54/12.79 cnf(matrix-6549, plain, ( ( _u14853 != _u14857) | ( _u14855 != _u14859) | ( hAPP(hAPP(c_List_Olist_OCons(_u14851), _u14853), _u14855) = hAPP(hAPP(c_List_Olist_OCons(_u14851), _u14857), _u14859)) )).
% 12.54/12.79 cnf(matrix-6550, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14860)), hAPP(hAPP(c_List_Olist_OCons(_u14860), _u14861), _u14862)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14860)), _u14862)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.54/12.79 cnf(matrix-6551, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14869), tc_List_Olist(_u14869))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14869), tc_List_Olist(_u14869)), hAPP(hAPP(c_List_Olist_OCons(_u14869), _u14871), _u14873)), hAPP(hAPP(c_List_Olist_OCons(_u14869), _u14875), _u14877))), c_List_Olex(_u14869, _u14879))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14869, _u14869)), hAPP(hAPP(c_Product__Type_OPair(_u14869, _u14869), _u14871), _u14875)), _u14879)) | ( _u14871 = _u14875) )).
% 12.54/12.79 cnf(matrix-6552, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14869), tc_List_Olist(_u14869))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14869), tc_List_Olist(_u14869)), hAPP(hAPP(c_List_Olist_OCons(_u14869), _u14871), _u14873)), hAPP(hAPP(c_List_Olist_OCons(_u14869), _u14875), _u14877))), c_List_Olex(_u14869, _u14879))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14869, _u14869)), hAPP(hAPP(c_Product__Type_OPair(_u14869, _u14869), _u14871), _u14875)), _u14879)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14869), tc_List_Olist(_u14869))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14869), tc_List_Olist(_u14869)), _u14873), _u14877)), c_List_Olex(_u14869, _u14879))) )).
% 12.54/12.79 cnf(matrix-6553, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14869), tc_List_Olist(_u14869))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14869), tc_List_Olist(_u14869)), hAPP(hAPP(c_List_Olist_OCons(_u14869), _u14871), _u14873)), hAPP(hAPP(c_List_Olist_OCons(_u14869), _u14875), _u14877))), c_List_Olex(_u14869, _u14879))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14869)), _u14873) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14869)), _u14877)) | ( _u14871 = _u14875) )).
% 12.54/12.79 cnf(matrix-6554, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14869), tc_List_Olist(_u14869))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14869), tc_List_Olist(_u14869)), hAPP(hAPP(c_List_Olist_OCons(_u14869), _u14871), _u14873)), hAPP(hAPP(c_List_Olist_OCons(_u14869), _u14875), _u14877))), c_List_Olex(_u14869, _u14879))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14869)), _u14873) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14869)), _u14877)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14869), tc_List_Olist(_u14869))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14869), tc_List_Olist(_u14869)), _u14873), _u14877)), c_List_Olex(_u14869, _u14879))) )).
% 12.54/12.79 cnf(matrix-6555, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14870), tc_List_Olist(_u14870))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14870), tc_List_Olist(_u14870)), hAPP(hAPP(c_List_Olist_OCons(_u14870), _u14872), _u14874)), hAPP(hAPP(c_List_Olist_OCons(_u14870), _u14876), _u14878))), c_List_Olex(_u14870, _u14880))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14870, _u14870)), hAPP(hAPP(c_Product__Type_OPair(_u14870, _u14870), _u14872), _u14876)), _u14880)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14870)), _u14874) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14870)), _u14878)) )).
% 12.54/12.79 cnf(matrix-6556, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14870), tc_List_Olist(_u14870))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14870), tc_List_Olist(_u14870)), hAPP(hAPP(c_List_Olist_OCons(_u14870), _u14872), _u14874)), hAPP(hAPP(c_List_Olist_OCons(_u14870), _u14876), _u14878))), c_List_Olex(_u14870, _u14880))) | ( _u14872 != _u14876) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14870), tc_List_Olist(_u14870))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14870), tc_List_Olist(_u14870)), _u14874), _u14878)), c_List_Olex(_u14870, _u14880))) )).
% 12.54/12.79 cnf(matrix-6557, plain, ( ( c_List_Oset__Cons(_u14881, _u14882, _u14883) = hAPP(c_Set_OCollect(tc_List_Olist(_u14881)), hAPP(hAPP(c_COMBB(tc_fun(_u14881, tc_HOL_Obool), tc_HOL_Obool, tc_List_Olist(_u14881)), c_HOL_OEx(_u14881)), hAPP(hAPP(c_COMBB(tc_fun(_u14881, tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool)), tc_fun(_u14881, tc_HOL_Obool), tc_List_Olist(_u14881)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool), tc_HOL_Obool, _u14881), c_HOL_OEx(tc_List_Olist(_u14881)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14881), tc_fun(_u14881, tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool)), tc_fun(_u14881, tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14881, tc_fun(tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool))), tc_fun(tc_fun(_u14881, tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool)), tc_fun(_u14881, tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool))), tc_List_Olist(_u14881)), c_COMBS(_u14881, tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14881, tc_fun(tc_List_Olist(_u14881), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14881, tc_fun(tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool))), tc_List_Olist(_u14881)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14881), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool)), _u14881), c_COMBS(tc_List_Olist(_u14881), tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14881, tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool)), tc_fun(_u14881, tc_fun(tc_List_Olist(_u14881), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_List_Olist(_u14881)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14881), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14881), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14881)), c_fconj))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14881), tc_fun(_u14881, tc_fun(tc_List_Olist(_u14881), tc_List_Olist(_u14881))), tc_fun(_u14881, tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(_u14881), tc_List_Olist(_u14881)), tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool)), tc_fun(tc_fun(_u14881, tc_fun(tc_List_Olist(_u14881), tc_List_Olist(_u14881))), tc_fun(_u14881, tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool))), tc_List_Olist(_u14881)), c_COMBB(tc_fun(tc_List_Olist(_u14881), tc_List_Olist(_u14881)), tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool), _u14881)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14881), tc_List_Olist(_u14881)), tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool)), tc_List_Olist(_u14881)), c_COMBB(tc_List_Olist(_u14881), tc_HOL_Obool, tc_List_Olist(_u14881))), c_fequal))), c_List_Olist_OCons(_u14881)))))), hAPP(hAPP(c_COMBC(_u14881, tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool)), _u14881), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u14881))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14881), c_fconj), hAPP(hAPP(c_COMBC(_u14881, tc_fun(_u14881, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14881)), _u14882)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14881), tc_fun(tc_List_Olist(_u14881), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u14881))), _u14883))))))) )).
% 12.54/12.79 cnf(matrix-6558, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14888), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u14890), _u14892))) | ( hAPP(c_Random_Opick(_u14890, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u14890)), _u14892), _u14894)), _u14888) = hAPP(c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u14890), _u14892)) )).
% 12.54/12.79 cnf(matrix-6559, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14889), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u14891), _u14893))) | ( hAPP(c_Random_Opick(_u14891, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u14891)), _u14893), _u14895)), _u14889) = hAPP(c_Random_Opick(_u14891, _u14895), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u14889), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u14891), _u14893)))) )).
% 12.54/12.79 cnf(matrix-6560, plain, ( ( c_Random_Oselect__weight(_u14896, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u14896)), hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u14896), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u14897)), _u14898)) = c_Random_Oselect__weight(_u14896, _u14898)) )).
% 12.54/12.79 cnf(matrix-6561, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14905), tc_List_Olist(_u14905))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14905), tc_List_Olist(_u14905)), hAPP(hAPP(c_List_Olist_OCons(_u14905), _u14907), _u14909)), hAPP(hAPP(c_List_Olist_OCons(_u14905), _u14911), _u14913))), c_List_Olexord(_u14905, _u14915))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14905, _u14905)), hAPP(hAPP(c_Product__Type_OPair(_u14905, _u14905), _u14907), _u14911)), _u14915)) | ( _u14907 = _u14911) )).
% 12.54/12.79 cnf(matrix-6562, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14905), tc_List_Olist(_u14905))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14905), tc_List_Olist(_u14905)), hAPP(hAPP(c_List_Olist_OCons(_u14905), _u14907), _u14909)), hAPP(hAPP(c_List_Olist_OCons(_u14905), _u14911), _u14913))), c_List_Olexord(_u14905, _u14915))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14905, _u14905)), hAPP(hAPP(c_Product__Type_OPair(_u14905, _u14905), _u14907), _u14911)), _u14915)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14905), tc_List_Olist(_u14905))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14905), tc_List_Olist(_u14905)), _u14909), _u14913)), c_List_Olexord(_u14905, _u14915))) )).
% 12.54/12.79 cnf(matrix-6563, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14906), tc_List_Olist(_u14906))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14906), tc_List_Olist(_u14906)), hAPP(hAPP(c_List_Olist_OCons(_u14906), _u14908), _u14910)), hAPP(hAPP(c_List_Olist_OCons(_u14906), _u14912), _u14914))), c_List_Olexord(_u14906, _u14916))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14906, _u14906)), hAPP(hAPP(c_Product__Type_OPair(_u14906, _u14906), _u14908), _u14912)), _u14916)) )).
% 12.54/12.79 cnf(matrix-6564, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14906), tc_List_Olist(_u14906))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14906), tc_List_Olist(_u14906)), hAPP(hAPP(c_List_Olist_OCons(_u14906), _u14908), _u14910)), hAPP(hAPP(c_List_Olist_OCons(_u14906), _u14912), _u14914))), c_List_Olexord(_u14906, _u14916))) | ( _u14908 != _u14912) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14906), tc_List_Olist(_u14906))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14906), tc_List_Olist(_u14906)), _u14910), _u14914)), c_List_Olexord(_u14906, _u14916))) )).
% 12.54/12.79 cnf(matrix-6565, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14921), tc_List_Olist(_u14921))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14921), tc_List_Olist(_u14921)), _u14923), _u14925)), c_List_Olex(_u14921, _u14927))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14921), tc_List_Olist(_u14921))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14921), tc_List_Olist(_u14921)), _u14923), _u14925)), c_List_Olexord(_u14921, _u14927))) )).
% 12.54/12.79 cnf(matrix-6566, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14921), tc_List_Olist(_u14921))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14921), tc_List_Olist(_u14921)), _u14923), _u14925)), c_List_Olex(_u14921, _u14927))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14921)), _u14923) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14921)), _u14925)) )).
% 12.54/12.79 cnf(matrix-6567, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14922), tc_List_Olist(_u14922))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14922), tc_List_Olist(_u14922)), _u14924), _u14926)), c_List_Olexord(_u14922, _u14928))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14922)), _u14924) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14922)), _u14926)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14922), tc_List_Olist(_u14922))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14922), tc_List_Olist(_u14922)), _u14924), _u14926)), c_List_Olex(_u14922, _u14928))) )).
% 12.54/12.79 cnf(matrix-6568, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14929, _u14929)), hAPP(hAPP(c_Product__Type_OPair(_u14929, _u14929), _u14930), _u14931)), c_Transitive__Closure_Ortrancl(_u14929, _u14932))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14929), tc_List_Olist(_u14929))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14929), tc_List_Olist(_u14929)), _u14933), _u14934)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u14929), c_List_Olistrel1(_u14929, _u14932)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14929), tc_List_Olist(_u14929))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14929), tc_List_Olist(_u14929)), hAPP(hAPP(c_List_Olist_OCons(_u14929), _u14930), _u14933)), hAPP(hAPP(c_List_Olist_OCons(_u14929), _u14931), _u14934))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u14929), c_List_Olistrel1(_u14929, _u14932)))) )).
% 12.54/12.79 cnf(matrix-6569, plain, ( ( c_List_Olist_Olist__size(_u14935, _u14936, hAPP(hAPP(c_List_Olist_OCons(_u14935), _u14937), _u14938)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u14936, _u14937)), c_List_Olist_Olist__size(_u14935, _u14936, _u14938))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.54/12.79 cnf(matrix-6570, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14939), _u14940), c_Wellfounded_Oacc(_u14939, _u14941))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14939)), _u14942), c_Wellfounded_Oacc(tc_List_Olist(_u14939), c_List_Olistrel1(_u14939, _u14941)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14939)), hAPP(hAPP(c_List_Olist_OCons(_u14939), _u14940), _u14942)), c_Wellfounded_Oacc(tc_List_Olist(_u14939), c_List_Olistrel1(_u14939, _u14941)))) )).
% 12.54/12.79 cnf(matrix-6571, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14943, _u14943), tc_HOL_Obool)), _u14944), _u14945)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u14943), tc_List_Olist(_u14943)), tc_HOL_Obool)), c_List_Olistrel1(_u14943, _u14944)), c_List_Olistrel1(_u14943, _u14945))) )).
% 12.54/12.79 cnf(matrix-6572, plain, ( ( c_List_Olistrel1(_u14946, hAPP(c_Relation_Oconverse(_u14946, _u14946), _u14947)) = hAPP(c_Relation_Oconverse(tc_List_Olist(_u14946), tc_List_Olist(_u14946)), c_List_Olistrel1(_u14946, _u14947))) )).
% 12.54/12.79 cnf(matrix-6573, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u14948), tc_List_Olist(_u14948)), tc_HOL_Obool)), c_List_Olistrel1(_u14948, c_Transitive__Closure_Ortrancl(_u14948, _u14949))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u14948), c_List_Olistrel1(_u14948, _u14949)))) )).
% 12.54/12.79 cnf(matrix-6574, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14950), tc_List_Olist(_u14950))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14950), tc_List_Olist(_u14950)), _u14951), _u14952)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u14950), c_List_Olistrel1(_u14950, _u14953)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14950), tc_List_Olist(_u14950))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14950), tc_List_Olist(_u14950)), hAPP(hAPP(c_List_Olist_OCons(_u14950), _u14954), _u14951)), hAPP(hAPP(c_List_Olist_OCons(_u14950), _u14954), _u14952))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u14950), c_List_Olistrel1(_u14950, _u14953)))) )).
% 12.54/12.79 cnf(matrix-6575, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14955), tc_List_Olist(_u14955))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14955), tc_List_Olist(_u14955)), _u14956), _u14957)), c_List_Olistrel1(_u14955, _u14958))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14955), tc_List_Olist(_u14955))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14955), tc_List_Olist(_u14955)), hAPP(hAPP(c_List_Olist_OCons(_u14955), _u14959), _u14956)), hAPP(hAPP(c_List_Olist_OCons(_u14955), _u14959), _u14957))), c_List_Olistrel1(_u14955, _u14958))) )).
% 12.54/12.79 cnf(matrix-6576, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14960), tc_List_Olist(_u14960))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14960), tc_List_Olist(_u14960)), _u14961), _u14962)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u14960), c_List_Olistrel1(_u14960, _u14963)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14960)), _u14961) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14960)), _u14962)) )).
% 12.54/12.79 cnf(matrix-6577, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14964), tc_List_Olist(_u14964))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14964), tc_List_Olist(_u14964)), _u14965), _u14966)), c_List_Olistrel1(_u14964, _u14967))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14964)), _u14965) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14964)), _u14966)) )).
% 12.54/12.79 cnf(matrix-6578, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14972), tc_List_Olist(_u14972))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14972), tc_List_Olist(_u14972)), _u14974), _u14976)), c_List_Olistrel1(_u14972, hAPP(c_Relation_Oconverse(_u14972, _u14972), _u14978)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14972), tc_List_Olist(_u14972))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14972), tc_List_Olist(_u14972)), _u14974), _u14976)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u14972), tc_List_Olist(_u14972)), c_List_Olistrel1(_u14972, _u14978)))) )).
% 12.54/12.79 cnf(matrix-6579, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14973), tc_List_Olist(_u14973))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14973), tc_List_Olist(_u14973)), _u14975), _u14977)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u14973), tc_List_Olist(_u14973)), c_List_Olistrel1(_u14973, _u14979)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14973), tc_List_Olist(_u14973))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14973), tc_List_Olist(_u14973)), _u14975), _u14977)), c_List_Olistrel1(_u14973, hAPP(c_Relation_Oconverse(_u14973, _u14973), _u14979)))) )).
% 12.54/12.79 cnf(matrix-6580, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14986), tc_List_Olist(_u14986))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14986), tc_List_Olist(_u14986)), hAPP(hAPP(c_List_Olist_OCons(_u14986), _u14988), _u14990)), hAPP(hAPP(c_List_Olist_OCons(_u14986), _u14992), _u14994))), c_List_Olistrel1(_u14986, _u14996))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14986, _u14986)), hAPP(hAPP(c_Product__Type_OPair(_u14986, _u14986), _u14988), _u14992)), _u14996)) | ( _u14988 = _u14992) )).
% 12.54/12.79 cnf(matrix-6581, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14986), tc_List_Olist(_u14986))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14986), tc_List_Olist(_u14986)), hAPP(hAPP(c_List_Olist_OCons(_u14986), _u14988), _u14990)), hAPP(hAPP(c_List_Olist_OCons(_u14986), _u14992), _u14994))), c_List_Olistrel1(_u14986, _u14996))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14986, _u14986)), hAPP(hAPP(c_Product__Type_OPair(_u14986, _u14986), _u14988), _u14992)), _u14996)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14986), tc_List_Olist(_u14986))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14986), tc_List_Olist(_u14986)), _u14990), _u14994)), c_List_Olistrel1(_u14986, _u14996))) )).
% 12.54/12.79 cnf(matrix-6582, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14986), tc_List_Olist(_u14986))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14986), tc_List_Olist(_u14986)), hAPP(hAPP(c_List_Olist_OCons(_u14986), _u14988), _u14990)), hAPP(hAPP(c_List_Olist_OCons(_u14986), _u14992), _u14994))), c_List_Olistrel1(_u14986, _u14996))) | ( _u14990 = _u14994) | ( _u14988 = _u14992) )).
% 12.54/12.79 cnf(matrix-6583, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14986), tc_List_Olist(_u14986))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14986), tc_List_Olist(_u14986)), hAPP(hAPP(c_List_Olist_OCons(_u14986), _u14988), _u14990)), hAPP(hAPP(c_List_Olist_OCons(_u14986), _u14992), _u14994))), c_List_Olistrel1(_u14986, _u14996))) | ( _u14990 = _u14994) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14986), tc_List_Olist(_u14986))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14986), tc_List_Olist(_u14986)), _u14990), _u14994)), c_List_Olistrel1(_u14986, _u14996))) )).
% 12.54/12.79 cnf(matrix-6584, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14987), tc_List_Olist(_u14987))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14987), tc_List_Olist(_u14987)), hAPP(hAPP(c_List_Olist_OCons(_u14987), _u14989), _u14991)), hAPP(hAPP(c_List_Olist_OCons(_u14987), _u14993), _u14995))), c_List_Olistrel1(_u14987, _u14997))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14987, _u14987)), hAPP(hAPP(c_Product__Type_OPair(_u14987, _u14987), _u14989), _u14993)), _u14997)) | ( _u14991 != _u14995) )).
% 12.54/12.79 cnf(matrix-6585, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14987), tc_List_Olist(_u14987))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14987), tc_List_Olist(_u14987)), hAPP(hAPP(c_List_Olist_OCons(_u14987), _u14989), _u14991)), hAPP(hAPP(c_List_Olist_OCons(_u14987), _u14993), _u14995))), c_List_Olistrel1(_u14987, _u14997))) | ( _u14989 != _u14993) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14987), tc_List_Olist(_u14987))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14987), tc_List_Olist(_u14987)), _u14991), _u14995)), c_List_Olistrel1(_u14987, _u14997))) )).
% 12.54/12.79 cnf(matrix-6586, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14998, _u14998)), hAPP(hAPP(c_Product__Type_OPair(_u14998, _u14998), _u14999), _u15000)), _u15001)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14998), tc_List_Olist(_u14998))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14998), tc_List_Olist(_u14998)), hAPP(hAPP(c_List_Olist_OCons(_u14998), _u14999), _u15002)), hAPP(hAPP(c_List_Olist_OCons(_u14998), _u15000), _u15002))), c_List_Olistrel1(_u14998, _u15001))) )).
% 12.54/12.79 cnf(matrix-6587, plain, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u15003), tc_List_Olist(_u15003), c_List_Olistrel(_u15003, _u15004)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15003)), hAPP(hAPP(c_List_Olist_OCons(_u15003), _u15005), _u15006)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15003), tc_HOL_Obool)))) = c_List_Oset__Cons(_u15003, hAPP(c_Relation_OImage(_u15003, _u15003, _u15004), hAPP(hAPP(c_Set_Oinsert(_u15003), _u15005), c_Orderings_Obot__class_Obot(tc_fun(_u15003, tc_HOL_Obool)))), hAPP(c_Relation_OImage(tc_List_Olist(_u15003), tc_List_Olist(_u15003), c_List_Olistrel(_u15003, _u15004)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15003)), _u15006), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15003), tc_HOL_Obool)))))) )).
% 12.54/12.79 cnf(matrix-6588, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15009), tc_List_Olist(_u15009))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15009), tc_List_Olist(_u15009)), _u15011), _u15012)), c_List_Olexord(_u15009, _u15010))) | ( _u15011 = _u15012) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15009), tc_List_Olist(_u15009))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15009), tc_List_Olist(_u15009)), _u15012), _u15011)), c_List_Olexord(_u15009, _u15010))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15009, _u15009)), hAPP(hAPP(c_Product__Type_OPair(_u15009, _u15009), skolem410(_u15012, _u15011, _u15010, _u15009)), skolem411(_u15012, _u15011, _u15010, _u15009))), _u15010)) )).
% 12.54/12.79 cnf(matrix-6589, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15009), tc_List_Olist(_u15009))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15009), tc_List_Olist(_u15009)), _u15011), _u15012)), c_List_Olexord(_u15009, _u15010))) | ( _u15011 = _u15012) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15009), tc_List_Olist(_u15009))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15009), tc_List_Olist(_u15009)), _u15012), _u15011)), c_List_Olexord(_u15009, _u15010))) | ( skolem410(_u15012, _u15011, _u15010, _u15009) != skolem411(_u15012, _u15011, _u15010, _u15009)) )).
% 12.54/12.79 cnf(matrix-6590, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15009), tc_List_Olist(_u15009))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15009), tc_List_Olist(_u15009)), _u15011), _u15012)), c_List_Olexord(_u15009, _u15010))) | ( _u15011 = _u15012) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15009), tc_List_Olist(_u15009))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15009), tc_List_Olist(_u15009)), _u15012), _u15011)), c_List_Olexord(_u15009, _u15010))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15009, _u15009)), hAPP(hAPP(c_Product__Type_OPair(_u15009, _u15009), skolem411(_u15012, _u15011, _u15010, _u15009)), skolem410(_u15012, _u15011, _u15010, _u15009))), _u15010)) )).
% 12.54/12.79 cnf(matrix-6591, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15013), tc_List_Olist(_u15013))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15013), tc_List_Olist(_u15013)), _u15014), _u15014)), c_List_Olistrel(_u15013, c_Transitive__Closure_Ortrancl(_u15013, _u15015)))) )).
% 12.54/12.79 cnf(matrix-6592, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15016, _u15016), tc_HOL_Obool)), _u15017), _u15018)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15016), tc_List_Olist(_u15016)), tc_HOL_Obool)), c_List_Olistrel(_u15016, _u15017)), c_List_Olistrel(_u15016, _u15018))) )).
% 12.54/12.79 cnf(matrix-6593, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15019), tc_List_Olist(_u15019)), tc_HOL_Obool)), c_List_Olistrel(_u15019, _u15020)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15019), c_List_Olistrel1(_u15019, _u15020)))) )).
% 12.54/12.79 cnf(matrix-6594, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15021), tc_List_Olist(_u15021))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15021), tc_List_Olist(_u15021)), _u15022), _u15023)), c_List_Olistrel(_u15021, _u15024))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15021)), _u15022) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15021)), _u15023)) )).
% 12.54/12.79 cnf(matrix-6595, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15025), tc_List_Olist(_u15025))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15025), tc_List_Olist(_u15025)), _u15026), _u15027)), c_List_Olistrel(_u15025, c_Transitive__Closure_Ortrancl(_u15025, _u15028)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15025), tc_List_Olist(_u15025))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15025), tc_List_Olist(_u15025)), _u15027), _u15029)), c_List_Olistrel(_u15025, c_Transitive__Closure_Ortrancl(_u15025, _u15028)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15025), tc_List_Olist(_u15025))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15025), tc_List_Olist(_u15025)), _u15026), _u15029)), c_List_Olistrel(_u15025, c_Transitive__Closure_Ortrancl(_u15025, _u15028)))) )).
% 12.54/12.79 cnf(matrix-6596, plain, ( ( c_List_Olistrel(_u15030, c_Transitive__Closure_Ortrancl(_u15030, _u15031)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15030), c_List_Olistrel1(_u15030, _u15031))) )).
% 12.54/12.79 cnf(matrix-6597, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15032), tc_List_Olist(_u15032))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15032), tc_List_Olist(_u15032)), _u15033), _u15034)), c_List_Olistrel1(_u15032, _u15035))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15032), tc_List_Olist(_u15032))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15032), tc_List_Olist(_u15032)), _u15033), _u15034)), c_List_Olistrel(_u15032, c_Transitive__Closure_Ortrancl(_u15032, _u15035)))) )).
% 12.54/12.79 cnf(matrix-6598, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15036, _u15036), tc_HOL_Obool)), _u15037), _u15038)) | ~c_Relation_Orefl__on(_u15036, c_Orderings_Otop__class_Otop(tc_fun(_u15036, tc_HOL_Obool)), _u15038) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15036), tc_List_Olist(_u15036)), tc_HOL_Obool)), c_List_Olistrel1(_u15036, _u15037)), c_List_Olistrel(_u15036, _u15038))) )).
% 12.54/12.79 cnf(matrix-6599, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15039), tc_List_Olist(_u15039))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15039), tc_List_Olist(_u15039)), _u15040), _u15041)), c_List_Olistrel(_u15039, _u15042))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15039), tc_List_Olist(_u15039))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15039), tc_List_Olist(_u15039)), _u15040), _u15041)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15039), c_List_Olistrel1(_u15039, _u15042)))) )).
% 12.54/12.79 cnf(matrix-6600, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15043, _u15043)), hAPP(hAPP(c_Product__Type_OPair(_u15043, _u15043), _u15044), _u15045)), _u15046)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15043), tc_List_Olist(_u15043))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15043), tc_List_Olist(_u15043)), _u15047), _u15048)), c_List_Olistrel(_u15043, _u15046))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15043), tc_List_Olist(_u15043))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15043), tc_List_Olist(_u15043)), hAPP(hAPP(c_List_Olist_OCons(_u15043), _u15044), _u15047)), hAPP(hAPP(c_List_Olist_OCons(_u15043), _u15045), _u15048))), c_List_Olistrel(_u15043, _u15046))) )).
% 12.54/12.79 cnf(matrix-6601, plain, ( ~c_List_Olistrelp(_u15053, hAPP(hAPP(c_COMBC(_u15053, tc_fun(tc_prod(_u15053, _u15053), tc_HOL_Obool), tc_fun(_u15053, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15053, tc_fun(tc_fun(tc_prod(_u15053, _u15053), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15053, _u15053), tc_HOL_Obool), tc_fun(_u15053, tc_HOL_Obool)), _u15053), c_COMBC(_u15053, tc_fun(tc_prod(_u15053, _u15053), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15053, tc_prod(_u15053, _u15053)), tc_fun(_u15053, tc_fun(tc_fun(tc_prod(_u15053, _u15053), tc_HOL_Obool), tc_HOL_Obool)), _u15053), hAPP(c_COMBB(tc_prod(_u15053, _u15053), tc_fun(tc_fun(tc_prod(_u15053, _u15053), tc_HOL_Obool), tc_HOL_Obool), _u15053), c_member(tc_prod(_u15053, _u15053)))), c_Product__Type_OPair(_u15053, _u15053)))), _u15055), _u15057, _u15059) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15053), tc_List_Olist(_u15053))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15053), tc_List_Olist(_u15053)), _u15057), _u15059)), c_List_Olistrel(_u15053, _u15055))) )).
% 12.54/12.79 cnf(matrix-6602, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15054), tc_List_Olist(_u15054))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15054), tc_List_Olist(_u15054)), _u15058), _u15060)), c_List_Olistrel(_u15054, _u15056))) | c_List_Olistrelp(_u15054, hAPP(hAPP(c_COMBC(_u15054, tc_fun(tc_prod(_u15054, _u15054), tc_HOL_Obool), tc_fun(_u15054, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15054, tc_fun(tc_fun(tc_prod(_u15054, _u15054), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15054, _u15054), tc_HOL_Obool), tc_fun(_u15054, tc_HOL_Obool)), _u15054), c_COMBC(_u15054, tc_fun(tc_prod(_u15054, _u15054), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15054, tc_prod(_u15054, _u15054)), tc_fun(_u15054, tc_fun(tc_fun(tc_prod(_u15054, _u15054), tc_HOL_Obool), tc_HOL_Obool)), _u15054), hAPP(c_COMBB(tc_prod(_u15054, _u15054), tc_fun(tc_fun(tc_prod(_u15054, _u15054), tc_HOL_Obool), tc_HOL_Obool), _u15054), c_member(tc_prod(_u15054, _u15054)))), c_Product__Type_OPair(_u15054, _u15054)))), _u15056), _u15058, _u15060) )).
% 12.54/12.79 cnf(matrix-6603, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15063), tc_List_Olist(_u15063))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15063), tc_List_Olist(_u15063)), hAPP(hAPP(c_List_Olist_OCons(_u15063), _u15064), _u15065)), _u15066)), c_List_Olistrel(_u15063, _u15067))) | ( _u15066 = hAPP(hAPP(c_List_Olist_OCons(_u15063), skolem412(_u15067, _u15066, _u15065, _u15064, _u15063)), skolem413(_u15067, _u15066, _u15065, _u15064, _u15063))) )).
% 12.54/12.79 cnf(matrix-6604, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15063), tc_List_Olist(_u15063))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15063), tc_List_Olist(_u15063)), hAPP(hAPP(c_List_Olist_OCons(_u15063), _u15064), _u15065)), _u15066)), c_List_Olistrel(_u15063, _u15067))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15063, _u15063)), hAPP(hAPP(c_Product__Type_OPair(_u15063, _u15063), _u15064), skolem412(_u15067, _u15066, _u15065, _u15064, _u15063))), _u15067)) )).
% 12.54/12.79 cnf(matrix-6605, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15063), tc_List_Olist(_u15063))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15063), tc_List_Olist(_u15063)), hAPP(hAPP(c_List_Olist_OCons(_u15063), _u15064), _u15065)), _u15066)), c_List_Olistrel(_u15063, _u15067))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15063), tc_List_Olist(_u15063))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15063), tc_List_Olist(_u15063)), _u15065), skolem413(_u15067, _u15066, _u15065, _u15064, _u15063))), c_List_Olistrel(_u15063, _u15067))) )).
% 12.54/12.79 cnf(matrix-6606, plain, ( ~hBOOL(hAPP(hAPP(_u15068, _u15069), _u15070)) | ~c_List_Olistrelp(_u15071, _u15068, _u15072, _u15073) | c_List_Olistrelp(_u15071, _u15068, hAPP(hAPP(c_List_Olist_OCons(_u15071), _u15069), _u15072), hAPP(hAPP(c_List_Olist_OCons(_u15071), _u15070), _u15073)) )).
% 12.54/12.79 cnf(matrix-6607, plain, ( ~c_List_Olistrelp(_u15080, _u15082, hAPP(hAPP(c_List_Olist_OCons(_u15080), _u15084), _u15086), hAPP(hAPP(c_List_Olist_OCons(_u15080), _u15088), _u15090)) | hBOOL(hAPP(hAPP(_u15082, _u15084), _u15088)) )).
% 12.54/12.79 cnf(matrix-6608, plain, ( ~c_List_Olistrelp(_u15080, _u15082, hAPP(hAPP(c_List_Olist_OCons(_u15080), _u15084), _u15086), hAPP(hAPP(c_List_Olist_OCons(_u15080), _u15088), _u15090)) | c_List_Olistrelp(_u15080, _u15082, _u15086, _u15090) )).
% 12.54/12.79 cnf(matrix-6609, plain, ( ~hBOOL(hAPP(hAPP(_u15083, _u15085), _u15089)) | ~c_List_Olistrelp(_u15081, _u15083, _u15087, _u15091) | c_List_Olistrelp(_u15081, _u15083, hAPP(hAPP(c_List_Olist_OCons(_u15081), _u15085), _u15087), hAPP(hAPP(c_List_Olist_OCons(_u15081), _u15089), _u15091)) )).
% 12.54/12.79 cnf(matrix-6610, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15094), tc_List_Olist(_u15094))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15094), tc_List_Olist(_u15094)), _u15095), hAPP(hAPP(c_List_Olist_OCons(_u15094), _u15096), _u15097))), c_List_Olistrel(_u15094, _u15098))) | ( _u15095 = hAPP(hAPP(c_List_Olist_OCons(_u15094), skolem414(_u15098, _u15097, _u15096, _u15095, _u15094)), skolem415(_u15098, _u15097, _u15096, _u15095, _u15094))) )).
% 12.54/12.79 cnf(matrix-6611, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15094), tc_List_Olist(_u15094))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15094), tc_List_Olist(_u15094)), _u15095), hAPP(hAPP(c_List_Olist_OCons(_u15094), _u15096), _u15097))), c_List_Olistrel(_u15094, _u15098))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15094, _u15094)), hAPP(hAPP(c_Product__Type_OPair(_u15094, _u15094), skolem414(_u15098, _u15097, _u15096, _u15095, _u15094)), _u15096)), _u15098)) )).
% 12.54/12.79 cnf(matrix-6612, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15094), tc_List_Olist(_u15094))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15094), tc_List_Olist(_u15094)), _u15095), hAPP(hAPP(c_List_Olist_OCons(_u15094), _u15096), _u15097))), c_List_Olistrel(_u15094, _u15098))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15094), tc_List_Olist(_u15094))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15094), tc_List_Olist(_u15094)), skolem415(_u15098, _u15097, _u15096, _u15095, _u15094)), _u15097)), c_List_Olistrel(_u15094, _u15098))) )).
% 12.54/12.79 cnf(matrix-6613, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15099, _u15099), tc_HOL_Obool)), _u15100), hAPP(hAPP(c_Product__Type_OSigma(_u15099, _u15099), _u15101), hAPP(c_COMBK(tc_fun(_u15099, tc_HOL_Obool), _u15099), _u15101)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15099), tc_List_Olist(_u15099)), tc_HOL_Obool)), c_List_Olistrel(_u15099, _u15100)), hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(_u15099), tc_List_Olist(_u15099)), c_List_Olists(_u15099, _u15101)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u15099), tc_HOL_Obool), tc_List_Olist(_u15099)), c_List_Olists(_u15099, _u15101))))) )).
% 12.54/12.79 cnf(matrix-6614, plain, ( ( c_List_Olists(_u15102, c_Orderings_Otop__class_Otop(tc_fun(_u15102, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15102), tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-6615, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15103, tc_HOL_Obool)), _u15104), _u15105)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u15103), tc_HOL_Obool)), c_List_Olists(_u15103, _u15104)), c_List_Olists(_u15103, _u15105))) )).
% 12.54/12.79 cnf(matrix-6616, plain, ( ~c_Equiv__Relations_Oequiv(_u15106, _u15107, _u15108) | c_Equiv__Relations_Oequiv(tc_List_Olist(_u15106), c_List_Olists(_u15106, _u15107), c_List_Olistrel(_u15106, _u15108)) )).
% 12.54/12.79 cnf(matrix-6617, plain, ( ~c_Relation_Orefl__on(_u15109, _u15110, _u15111) | c_Relation_Orefl__on(tc_List_Olist(_u15109), c_List_Olists(_u15109, _u15110), c_List_Olistrel(_u15109, _u15111)) )).
% 12.54/12.79 cnf(matrix-6618, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15116)), hAPP(hAPP(c_List_Olist_OCons(_u15116), _u15118), _u15120)), c_List_Olists(_u15116, _u15122))) | hBOOL(hAPP(hAPP(c_member(_u15116), _u15118), _u15122)) )).
% 12.54/12.79 cnf(matrix-6619, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15116)), hAPP(hAPP(c_List_Olist_OCons(_u15116), _u15118), _u15120)), c_List_Olists(_u15116, _u15122))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15116)), _u15120), c_List_Olists(_u15116, _u15122))) )).
% 12.54/12.79 cnf(matrix-6620, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15117), _u15119), _u15123)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15117)), _u15121), c_List_Olists(_u15117, _u15123))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15117)), hAPP(hAPP(c_List_Olist_OCons(_u15117), _u15119), _u15121)), c_List_Olists(_u15117, _u15123))) )).
% 12.54/12.79 cnf(matrix-6621, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15124)), _u15125), c_List_Olists(_u15124, c_Wellfounded_Oacc(_u15124, _u15126)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15124)), _u15125), c_Wellfounded_Oacc(tc_List_Olist(_u15124), c_List_Olistrel1(_u15124, _u15126)))) )).
% 12.54/12.79 cnf(matrix-6622, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15127)), _u15128), c_Wellfounded_Oacc(tc_List_Olist(_u15127), c_List_Olistrel1(_u15127, _u15129)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15127)), _u15128), c_List_Olists(_u15127, c_Wellfounded_Oacc(_u15127, _u15129)))) )).
% 12.54/12.79 cnf(matrix-6623, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15136), tc_List_Olist(_u15136))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15136), tc_List_Olist(_u15136)), _u15138), _u15140)), c_List_Olistrel(_u15136, _u15142))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15136)), _u15138) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15136)), _u15140)) )).
% 12.54/12.79 cnf(matrix-6624, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15136), tc_List_Olist(_u15136))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15136), tc_List_Olist(_u15136)), _u15138), _u15140)), c_List_Olistrel(_u15136, _u15142))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15130), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15136)), _u15138))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15136, _u15136)), hAPP(hAPP(c_Product__Type_OPair(_u15136, _u15136), hAPP(hAPP(c_List_Onth(_u15136), _u15138), _u15130)), hAPP(hAPP(c_List_Onth(_u15136), _u15140), _u15130))), _u15142)) )).
% 12.54/12.79 cnf(matrix-6625, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15137), tc_List_Olist(_u15137))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15137), tc_List_Olist(_u15137)), _u15139), _u15141)), c_List_Olistrel(_u15137, _u15143))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15137)), _u15139) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15137)), _u15141)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem416(_u15143, _u15141, _u15139, _u15137)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15137)), _u15139))) )).
% 12.54/12.79 cnf(matrix-6626, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15137), tc_List_Olist(_u15137))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15137), tc_List_Olist(_u15137)), _u15139), _u15141)), c_List_Olistrel(_u15137, _u15143))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15137)), _u15139) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15137)), _u15141)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15137, _u15137)), hAPP(hAPP(c_Product__Type_OPair(_u15137, _u15137), hAPP(hAPP(c_List_Onth(_u15137), _u15139), skolem416(_u15143, _u15141, _u15139, _u15137))), hAPP(hAPP(c_List_Onth(_u15137), _u15141), skolem416(_u15143, _u15141, _u15139, _u15137)))), _u15143)) )).
% 12.54/12.79 cnf(matrix-6627, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15145, _u15145)), hAPP(hAPP(c_Product__Type_OPair(_u15145, _u15145), skolem417(_u15147, _u15146, _u15145)), skolem417(_u15147, _u15146, _u15145))), _u15146)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15145), tc_List_Olist(_u15145))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15145), tc_List_Olist(_u15145)), _u15147), _u15147)), c_List_Olexord(_u15145, _u15146))) )).
% 12.54/12.79 cnf(matrix-6628, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15148)), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15148), tc_HOL_Obool)))) )).
% 12.54/12.79 cnf(matrix-6629, plain, ( ( _u15154 != _u15156) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15158)), _u15154) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15158)), _u15156)) )).
% 12.54/12.79 cnf(matrix-6630, plain, ( ( _u15154 != _u15156) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15149), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15158)), _u15154))) | ( hAPP(hAPP(c_List_Onth(_u15158), _u15154), _u15149) = hAPP(hAPP(c_List_Onth(_u15158), _u15156), _u15149)) )).
% 12.54/12.79 cnf(matrix-6631, plain, ( ( _u15155 = _u15157) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15159)), _u15155) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15159)), _u15157)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem418(_u15159, _u15157, _u15155)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15159)), _u15155))) )).
% 12.54/12.79 cnf(matrix-6632, plain, ( ( _u15155 = _u15157) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15159)), _u15155) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15159)), _u15157)) | ( hAPP(hAPP(c_List_Onth(_u15159), _u15155), skolem418(_u15159, _u15157, _u15155)) != hAPP(hAPP(c_List_Onth(_u15159), _u15157), skolem418(_u15159, _u15157, _u15155))) )).
% 12.54/12.79 cnf(matrix-6633, plain, ( ( hAPP(hAPP(c_List_Onth(_u15160), hAPP(hAPP(c_List_Olist_OCons(_u15160), _u15161), _u15162)), hAPP(c_Nat_OSuc, _u15163)) = hAPP(hAPP(c_List_Onth(_u15160), _u15162), _u15163)) )).
% 12.54/12.79 cnf(matrix-6634, plain, ( ( hAPP(hAPP(c_List_Onth(_u15164), hAPP(hAPP(c_List_Olist_OCons(_u15164), _u15165), _u15166)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u15165) )).
% 12.54/12.79 cnf(matrix-6635, plain, ( ( hAPP(hAPP(c_List_Onth(_u15167), hAPP(hAPP(c_List_Olist_OCons(_u15167), _u15168), _u15169)), _u15170) = c_Nat_Onat_Onat__case(_u15167, _u15168, hAPP(c_List_Onth(_u15167), _u15169), _u15170)) )).
% 12.54/12.79 cnf(matrix-6636, plain, ( ( _u15175 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15177), hAPP(hAPP(c_List_Olist_OCons(_u15177), _u15179), _u15181)), _u15175) = _u15179) )).
% 12.54/12.79 cnf(matrix-6637, plain, ( ( _u15176 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15178), hAPP(hAPP(c_List_Olist_OCons(_u15178), _u15180), _u15182)), _u15176) = hAPP(hAPP(c_List_Onth(_u15178), _u15182), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15176), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.54/12.79 cnf(matrix-6638, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15187) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15189), hAPP(hAPP(c_List_Olist_OCons(_u15189), _u15191), _u15193)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15187)) = _u15191) )).
% 12.54/12.79 cnf(matrix-6639, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15188) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15190), hAPP(hAPP(c_List_Olist_OCons(_u15190), _u15192), _u15194)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15188)) = hAPP(hAPP(c_List_Onth(_u15190), _u15194), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15188)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.54/12.79 cnf(matrix-6640, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15201), tc_List_Olist(_u15201))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15201), tc_List_Olist(_u15201)), _u15203), _u15205)), c_List_Olexord(_u15201, _u15207))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15201)), _u15203)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15201)), _u15205))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem419(_u15207, _u15205, _u15203, _u15201)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15201)), _u15203)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15201)), _u15205)))) )).
% 12.54/12.79 cnf(matrix-6641, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15201), tc_List_Olist(_u15201))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15201), tc_List_Olist(_u15201)), _u15203), _u15205)), c_List_Olexord(_u15201, _u15207))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15201)), _u15203)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15201)), _u15205))) | ( hAPP(hAPP(c_List_Otake(_u15201), skolem419(_u15207, _u15205, _u15203, _u15201)), _u15203) = hAPP(hAPP(c_List_Otake(_u15201), skolem419(_u15207, _u15205, _u15203, _u15201)), _u15205)) )).
% 12.54/12.79 cnf(matrix-6642, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15201), tc_List_Olist(_u15201))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15201), tc_List_Olist(_u15201)), _u15203), _u15205)), c_List_Olexord(_u15201, _u15207))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15201)), _u15203)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15201)), _u15205))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15201, _u15201)), hAPP(hAPP(c_Product__Type_OPair(_u15201, _u15201), hAPP(hAPP(c_List_Onth(_u15201), _u15203), skolem419(_u15207, _u15205, _u15203, _u15201))), hAPP(hAPP(c_List_Onth(_u15201), _u15205), skolem419(_u15207, _u15205, _u15203, _u15201)))), _u15207)) )).
% 12.54/12.79 cnf(matrix-6643, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15201), tc_List_Olist(_u15201))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15201), tc_List_Olist(_u15201)), _u15203), _u15205)), c_List_Olexord(_u15201, _u15207))) | ( hAPP(hAPP(c_List_Otake(_u15201), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15201)), _u15203)), _u15205) = _u15203) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem419(_u15207, _u15205, _u15203, _u15201)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15201)), _u15203)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15201)), _u15205)))) )).
% 12.54/12.79 cnf(matrix-6644, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15201), tc_List_Olist(_u15201))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15201), tc_List_Olist(_u15201)), _u15203), _u15205)), c_List_Olexord(_u15201, _u15207))) | ( hAPP(hAPP(c_List_Otake(_u15201), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15201)), _u15203)), _u15205) = _u15203) | ( hAPP(hAPP(c_List_Otake(_u15201), skolem419(_u15207, _u15205, _u15203, _u15201)), _u15203) = hAPP(hAPP(c_List_Otake(_u15201), skolem419(_u15207, _u15205, _u15203, _u15201)), _u15205)) )).
% 12.54/12.79 cnf(matrix-6645, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15201), tc_List_Olist(_u15201))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15201), tc_List_Olist(_u15201)), _u15203), _u15205)), c_List_Olexord(_u15201, _u15207))) | ( hAPP(hAPP(c_List_Otake(_u15201), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15201)), _u15203)), _u15205) = _u15203) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15201, _u15201)), hAPP(hAPP(c_Product__Type_OPair(_u15201, _u15201), hAPP(hAPP(c_List_Onth(_u15201), _u15203), skolem419(_u15207, _u15205, _u15203, _u15201))), hAPP(hAPP(c_List_Onth(_u15201), _u15205), skolem419(_u15207, _u15205, _u15203, _u15201)))), _u15207)) )).
% 12.54/12.79 cnf(matrix-6646, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15202), tc_List_Olist(_u15202))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15202), tc_List_Olist(_u15202)), _u15204), _u15206)), c_List_Olexord(_u15202, _u15208))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15202)), _u15204)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15202)), _u15206))) | ( hAPP(hAPP(c_List_Otake(_u15202), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15202)), _u15204)), _u15206) != _u15204) )).
% 12.54/12.79 cnf(matrix-6647, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15202), tc_List_Olist(_u15202))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15202), tc_List_Olist(_u15202)), _u15204), _u15206)), c_List_Olexord(_u15202, _u15208))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15196), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15202)), _u15204)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15202)), _u15206)))) | ( hAPP(hAPP(c_List_Otake(_u15202), _u15196), _u15204) != hAPP(hAPP(c_List_Otake(_u15202), _u15196), _u15206)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15202, _u15202)), hAPP(hAPP(c_Product__Type_OPair(_u15202, _u15202), hAPP(hAPP(c_List_Onth(_u15202), _u15204), _u15196)), hAPP(hAPP(c_List_Onth(_u15202), _u15206), _u15196))), _u15208)) )).
% 12.54/12.79 cnf(matrix-6648, plain, ( ( hAPP(c_List_Oset(_u15209), c_List_Osublist(_u15209, _u15210, _u15211)) = hAPP(c_Set_OCollect(_u15209), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u15209), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u15209, 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)), _u15209), 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)), _u15209), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u15209, tc_fun(tc_Nat_Onat, _u15209), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15209, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u15209), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u15209), c_COMBB(_u15209, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u15209), _u15210))))), 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(_u15209)), _u15210)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u15211)))))) )).
% 12.54/12.79 cnf(matrix-6649, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u15212), hAPP(c_List_Oset(_u15212), _u15213))) )).
% 12.54/12.79 cnf(matrix-6650, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15214, tc_HOL_Obool)), hAPP(c_List_Oset(_u15214), _u15215)), hAPP(c_List_Oset(_u15214), hAPP(hAPP(c_List_Olist_OCons(_u15214), _u15216), _u15215)))) )).
% 12.54/12.79 cnf(matrix-6651, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15217)), _u15218)), _u15219)) | ( hAPP(hAPP(c_List_Otake(_u15217), _u15219), _u15218) = _u15218) )).
% 12.54/12.79 cnf(matrix-6652, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15220), _u15221)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15222, tc_HOL_Obool)), hAPP(c_List_Oset(_u15222), hAPP(hAPP(c_List_Otake(_u15222), _u15220), _u15223))), hAPP(c_List_Oset(_u15222), hAPP(hAPP(c_List_Otake(_u15222), _u15221), _u15223)))) )).
% 12.54/12.79 cnf(matrix-6653, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15224, tc_HOL_Obool)), hAPP(c_List_Oset(_u15224), hAPP(hAPP(c_List_Otake(_u15224), _u15225), _u15226))), hAPP(c_List_Oset(_u15224), _u15226))) )).
% 12.54/12.79 cnf(matrix-6654, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15227, tc_HOL_Obool)), hAPP(c_List_Oset(_u15227), c_List_Osublist(_u15227, _u15228, _u15229))), hAPP(c_List_Oset(_u15227), _u15228))) )).
% 12.54/12.79 cnf(matrix-6655, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15230), _u15231)) | ( hAPP(hAPP(c_List_Onth(_u15232), hAPP(hAPP(c_List_Otake(_u15232), _u15231), _u15233)), _u15230) = hAPP(hAPP(c_List_Onth(_u15232), _u15233), _u15230)) )).
% 12.54/12.79 cnf(matrix-6656, plain, ( ( hAPP(hAPP(c_List_Otake(_u15234), hAPP(c_Nat_OSuc, _u15235)), hAPP(hAPP(c_List_Olist_OCons(_u15234), _u15236), _u15237)) = hAPP(hAPP(c_List_Olist_OCons(_u15234), _u15236), hAPP(hAPP(c_List_Otake(_u15234), _u15235), _u15237))) )).
% 12.54/12.79 cnf(matrix-6657, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15238), _u15239), hAPP(c_List_Oset(_u15238), hAPP(hAPP(c_List_Olist_OCons(_u15238), _u15240), _u15241)))) | ( _u15239 = _u15240) | hBOOL(hAPP(hAPP(c_member(_u15238), _u15239), hAPP(c_List_Oset(_u15238), _u15241))) )).
% 12.54/12.79 cnf(matrix-6658, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15242), _u15243), hAPP(c_List_Oset(_u15242), c_List_Osublist(_u15242, _u15244, _u15245)))) | hBOOL(hAPP(hAPP(c_member(_u15242), _u15243), hAPP(c_List_Oset(_u15242), _u15244))) )).
% 12.54/12.79 cnf(matrix-6659, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15246), _u15247), hAPP(c_List_Oset(_u15246), hAPP(hAPP(c_List_Otake(_u15246), _u15248), _u15249)))) | hBOOL(hAPP(hAPP(c_member(_u15246), _u15247), hAPP(c_List_Oset(_u15246), _u15249))) )).
% 12.54/12.79 cnf(matrix-6660, plain, ( hBOOL(hAPP(hAPP(c_member(_u15250), _u15251), hAPP(c_List_Oset(_u15250), _u15252))) | ~hBOOL(hAPP(hAPP(c_member(_u15250), _u15251), hAPP(c_List_Oset(_u15250), c_List_Osublist(_u15250, _u15252, _u15253)))) )).
% 12.54/12.79 cnf(matrix-6661, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15254)), hAPP(hAPP(c_List_Otake(_u15254), _u15255), _u15256)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15254)), _u15256)), _u15255)) )).
% 12.54/12.79 cnf(matrix-6662, plain, ( ( hAPP(hAPP(c_List_Otake(_u15257), _u15258), hAPP(hAPP(c_List_Otake(_u15257), _u15259), _u15260)) = hAPP(hAPP(c_List_Otake(_u15257), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u15258), _u15259)), _u15260)) )).
% 12.54/12.79 cnf(matrix-6663, plain, ( ( hAPP(c_List_Oset(_u15261), hAPP(hAPP(c_List_Olist_OCons(_u15261), _u15262), _u15263)) = hAPP(hAPP(c_Set_Oinsert(_u15261), _u15262), hAPP(c_List_Oset(_u15261), _u15263))) )).
% 12.54/12.79 cnf(matrix-6664, plain, ( ( c_List_Osublist(_u15264, _u15265, hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u15266)) = hAPP(hAPP(c_List_Otake(_u15264), _u15266), _u15265)) )).
% 12.54/12.79 cnf(matrix-6665, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u15267), hAPP(c_List_Oset(_u15267), _u15268))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15267)), _u15268))) )).
% 12.54/12.79 cnf(matrix-6666, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15270), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15276)), _u15278))) | hBOOL(hAPP(_u15280, hAPP(hAPP(c_List_Onth(_u15276), _u15278), _u15270))) | hBOOL(hAPP(hAPP(c_member(_u15276), skolem420(_u15280, _u15278, _u15276)), hAPP(c_List_Oset(_u15276), _u15278))) )).
% 12.54/12.79 cnf(matrix-6667, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15270), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15276)), _u15278))) | hBOOL(hAPP(_u15280, hAPP(hAPP(c_List_Onth(_u15276), _u15278), _u15270))) | ~hBOOL(hAPP(_u15280, skolem420(_u15280, _u15278, _u15276))) )).
% 12.54/12.79 cnf(matrix-6668, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15277), _u15272), hAPP(c_List_Oset(_u15277), _u15279))) | hBOOL(hAPP(_u15281, _u15272)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem421(_u15281, _u15279, _u15277)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15277)), _u15279))) )).
% 12.54/12.79 cnf(matrix-6669, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15277), _u15272), hAPP(c_List_Oset(_u15277), _u15279))) | hBOOL(hAPP(_u15281, _u15272)) | ~hBOOL(hAPP(_u15281, hAPP(hAPP(c_List_Onth(_u15277), _u15279), skolem421(_u15281, _u15279, _u15277)))) )).
% 12.54/12.79 cnf(matrix-6670, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15282), _u15283), hAPP(c_List_Oset(_u15282), _u15284))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15285), hAPP(_u15286, _u15283))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15285), c_List_Olist_Olist__size(_u15282, _u15286, _u15284))) )).
% 12.54/12.79 cnf(matrix-6671, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15287), _u15288), hAPP(c_List_Oset(_u15287), _u15289))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15290), hAPP(_u15291, _u15288))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15290), c_List_Olist_Olist__size(_u15287, _u15291, _u15289))) )).
% 12.54/12.79 cnf(matrix-6672, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15297)), _u15299), c_List_Olists(_u15297, _u15301))) | ~hBOOL(hAPP(hAPP(c_member(_u15297), _u15292), hAPP(c_List_Oset(_u15297), _u15299))) | hBOOL(hAPP(hAPP(c_member(_u15297), _u15292), _u15301)) )).
% 12.54/12.79 cnf(matrix-6673, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15298)), _u15300), c_List_Olists(_u15298, _u15302))) | hBOOL(hAPP(hAPP(c_member(_u15298), skolem422(_u15302, _u15300, _u15298)), hAPP(c_List_Oset(_u15298), _u15300))) )).
% 12.54/12.79 cnf(matrix-6674, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15298)), _u15300), c_List_Olists(_u15298, _u15302))) | ~hBOOL(hAPP(hAPP(c_member(_u15298), skolem422(_u15302, _u15300, _u15298)), _u15302)) )).
% 12.54/12.79 cnf(matrix-6675, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15303), _u15304), hAPP(c_List_Oset(_u15303), _u15305))) | 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(_u15303)), _u15305))) )).
% 12.54/12.79 cnf(matrix-6676, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15311), _u15313), hAPP(c_List_Oset(_u15311), _u15315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem423(_u15315, _u15313, _u15311)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15311)), _u15315))) )).
% 12.54/12.79 cnf(matrix-6677, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15311), _u15313), hAPP(c_List_Oset(_u15311), _u15315))) | ( hAPP(hAPP(c_List_Onth(_u15311), _u15315), skolem423(_u15315, _u15313, _u15311)) = _u15313) )).
% 12.54/12.79 cnf(matrix-6678, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15307), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15312)), _u15316))) | ( hAPP(hAPP(c_List_Onth(_u15312), _u15316), _u15307) != _u15314) | hBOOL(hAPP(hAPP(c_member(_u15312), _u15314), hAPP(c_List_Oset(_u15312), _u15316))) )).
% 12.54/12.79 cnf(matrix-6679, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15317), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15318)), _u15319))) | hBOOL(hAPP(hAPP(c_member(_u15318), hAPP(hAPP(c_List_Onth(_u15318), _u15319), _u15317)), hAPP(c_List_Oset(_u15318), _u15319))) )).
% 12.54/12.79 cnf(matrix-6680, plain, ( ( c_List_Olists(_u15320, _u15321) = hAPP(c_Set_OCollect(tc_List_Olist(_u15320)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15320), tc_fun(_u15320, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15320, tc_HOL_Obool), tc_fun(tc_fun(_u15320, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15320)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15320, tc_HOL_Obool))), c_List_Oset(_u15320))), _u15321))) )).
% 12.54/12.79 cnf(matrix-6681, plain, ( ( hAPP(c_List_Oset(_u15322), _u15323) = hAPP(c_Set_OCollect(_u15322), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u15322), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u15322, 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)), _u15322), 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)), _u15322), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u15322, tc_fun(tc_Nat_Onat, _u15322), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15322, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u15322), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u15322), c_COMBB(_u15322, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u15322), _u15323))))), 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(_u15322)), _u15323)))))) )).
% 12.54/12.79 cnf(matrix-6682, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15324), _u15325)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15324)), hAPP(c_Set_OCollect(tc_List_Olist(_u15324)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15324), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15324)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15324), tc_fun(_u15324, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15324, tc_HOL_Obool), tc_fun(tc_fun(_u15324, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15324)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15324, tc_HOL_Obool))), c_List_Oset(_u15324))), _u15325))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15324), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15324)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u15324)))), _u15326))))) )).
% 12.54/12.79 cnf(matrix-6683, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15327), _u15328)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15327)), hAPP(c_Set_OCollect(tc_List_Olist(_u15327)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15327), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15327)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15327), tc_fun(_u15327, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15327, tc_HOL_Obool), tc_fun(tc_fun(_u15327, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15327)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15327, tc_HOL_Obool))), c_List_Oset(_u15327))), _u15328))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15327), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15327)), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u15327)))), _u15329))))) )).
% 12.54/12.79 cnf(matrix-6684, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15336), tc_List_Olist(_u15336))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15336), tc_List_Olist(_u15336)), _u15338), _u15340)), c_List_Olistrel(_u15336, _u15342))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15336)), _u15338) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15336)), _u15340)) )).
% 12.54/12.79 cnf(matrix-6685, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15336), tc_List_Olist(_u15336))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15336), tc_List_Olist(_u15336)), _u15338), _u15340)), c_List_Olistrel(_u15336, _u15342))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15336, _u15336)), _u15330), hAPP(c_List_Oset(tc_prod(_u15336, _u15336)), hAPP(hAPP(c_List_Ozip(_u15336, _u15336), _u15338), _u15340)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15336, _u15336, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15336, tc_fun(tc_prod(_u15336, _u15336), tc_HOL_Obool), tc_fun(_u15336, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15336, tc_fun(tc_fun(tc_prod(_u15336, _u15336), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15336, _u15336), tc_HOL_Obool), tc_fun(_u15336, tc_HOL_Obool)), _u15336), c_COMBC(_u15336, tc_fun(tc_prod(_u15336, _u15336), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15336, tc_prod(_u15336, _u15336)), tc_fun(_u15336, tc_fun(tc_fun(tc_prod(_u15336, _u15336), tc_HOL_Obool), tc_HOL_Obool)), _u15336), hAPP(c_COMBB(tc_prod(_u15336, _u15336), tc_fun(tc_fun(tc_prod(_u15336, _u15336), tc_HOL_Obool), tc_HOL_Obool), _u15336), c_member(tc_prod(_u15336, _u15336)))), c_Product__Type_OPair(_u15336, _u15336)))), _u15342)), _u15330)) )).
% 12.54/12.79 cnf(matrix-6686, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15337), tc_List_Olist(_u15337))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15337), tc_List_Olist(_u15337)), _u15339), _u15341)), c_List_Olistrel(_u15337, _u15343))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15337)), _u15339) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15337)), _u15341)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15337, _u15337)), skolem424(_u15343, _u15341, _u15339, _u15337)), hAPP(c_List_Oset(tc_prod(_u15337, _u15337)), hAPP(hAPP(c_List_Ozip(_u15337, _u15337), _u15339), _u15341)))) )).
% 12.54/12.79 cnf(matrix-6687, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15337), tc_List_Olist(_u15337))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15337), tc_List_Olist(_u15337)), _u15339), _u15341)), c_List_Olistrel(_u15337, _u15343))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15337)), _u15339) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15337)), _u15341)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15337, _u15337, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15337, tc_fun(tc_prod(_u15337, _u15337), tc_HOL_Obool), tc_fun(_u15337, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15337, tc_fun(tc_fun(tc_prod(_u15337, _u15337), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15337, _u15337), tc_HOL_Obool), tc_fun(_u15337, tc_HOL_Obool)), _u15337), c_COMBC(_u15337, tc_fun(tc_prod(_u15337, _u15337), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15337, tc_prod(_u15337, _u15337)), tc_fun(_u15337, tc_fun(tc_fun(tc_prod(_u15337, _u15337), tc_HOL_Obool), tc_HOL_Obool)), _u15337), hAPP(c_COMBB(tc_prod(_u15337, _u15337), tc_fun(tc_fun(tc_prod(_u15337, _u15337), tc_HOL_Obool), tc_HOL_Obool), _u15337), c_member(tc_prod(_u15337, _u15337)))), c_Product__Type_OPair(_u15337, _u15337)))), _u15343)), skolem424(_u15343, _u15341, _u15339, _u15337))) )).
% 12.54/12.79 cnf(matrix-6688, plain, ( ( hAPP(c_List_Oset(tc_prod(_u15344, _u15345)), hAPP(hAPP(c_List_Ozip(_u15344, _u15345), _u15346), _u15347)) = hAPP(c_Set_OCollect(tc_prod(_u15344, _u15345)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u15344, _u15345)), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u15344, _u15345), 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(_u15344, _u15345)), 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(_u15344, _u15345)), 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(_u15344, _u15345), tc_fun(tc_Nat_Onat, tc_prod(_u15344, _u15345)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u15344, _u15345), tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_prod(_u15344, _u15345)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_prod(_u15344, _u15345)), c_COMBB(tc_prod(_u15344, _u15345), tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u15345, tc_prod(_u15344, _u15345)), hAPP(hAPP(c_COMBB(_u15344, tc_fun(_u15345, tc_prod(_u15344, _u15345)), tc_Nat_Onat), c_Product__Type_OPair(_u15344, _u15345)), hAPP(c_List_Onth(_u15344), _u15346))), hAPP(c_List_Onth(_u15345), _u15347)))))), 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(_u15344)), _u15346)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15345)), _u15347))))))) )).
% 12.54/12.79 cnf(matrix-6689, plain, ( ( hAPP(hAPP(c_List_Otake(tc_prod(_u15348, _u15349)), _u15350), hAPP(hAPP(c_List_Ozip(_u15348, _u15349), _u15351), _u15352)) = hAPP(hAPP(c_List_Ozip(_u15348, _u15349), hAPP(hAPP(c_List_Otake(_u15348), _u15350), _u15351)), hAPP(hAPP(c_List_Otake(_u15349), _u15350), _u15352))) )).
% 12.54/12.79 cnf(matrix-6690, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_prod(_u15353, _u15354))), hAPP(hAPP(c_List_Ozip(_u15353, _u15354), _u15355), _u15356)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15353)), _u15355)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15354)), _u15356))) )).
% 12.54/12.79 cnf(matrix-6691, plain, ( ( hAPP(hAPP(c_List_Ozip(_u15357, _u15358), hAPP(hAPP(c_List_Olist_OCons(_u15357), _u15359), _u15360)), hAPP(hAPP(c_List_Olist_OCons(_u15358), _u15361), _u15362)) = hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u15357, _u15358)), hAPP(hAPP(c_Product__Type_OPair(_u15357, _u15358), _u15359), _u15361)), hAPP(hAPP(c_List_Ozip(_u15357, _u15358), _u15360), _u15362))) )).
% 12.54/12.79 cnf(matrix-6692, plain, ( ( _u15368 != _u15370) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15372)), _u15368) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15372)), _u15370)) )).
% 12.54/12.79 cnf(matrix-6693, plain, ( ( _u15368 != _u15370) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15372, _u15372)), _u15363), hAPP(c_List_Oset(tc_prod(_u15372, _u15372)), hAPP(hAPP(c_List_Ozip(_u15372, _u15372), _u15368), _u15370)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15372, _u15372, tc_HOL_Obool), c_fequal), _u15363)) )).
% 12.54/12.79 cnf(matrix-6694, plain, ( ( _u15369 = _u15371) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15373)), _u15369) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15373)), _u15371)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15373, _u15373)), skolem425(_u15373, _u15371, _u15369)), hAPP(c_List_Oset(tc_prod(_u15373, _u15373)), hAPP(hAPP(c_List_Ozip(_u15373, _u15373), _u15369), _u15371)))) )).
% 12.54/12.79 cnf(matrix-6695, plain, ( ( _u15369 = _u15371) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15373)), _u15369) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15373)), _u15371)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15373, _u15373, tc_HOL_Obool), c_fequal), skolem425(_u15373, _u15371, _u15369))) )).
% 12.54/12.79 cnf(matrix-6696, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15374, _u15375)), hAPP(hAPP(c_Product__Type_OPair(_u15374, _u15375), _u15376), _u15377)), hAPP(c_List_Oset(tc_prod(_u15374, _u15375)), hAPP(hAPP(c_List_Ozip(_u15374, _u15375), _u15378), _u15379)))) | hBOOL(hAPP(hAPP(c_member(_u15374), _u15376), hAPP(c_List_Oset(_u15374), _u15378))) )).
% 12.54/12.79 cnf(matrix-6697, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15374, _u15375)), hAPP(hAPP(c_Product__Type_OPair(_u15374, _u15375), _u15376), _u15377)), hAPP(c_List_Oset(tc_prod(_u15374, _u15375)), hAPP(hAPP(c_List_Ozip(_u15374, _u15375), _u15378), _u15379)))) | hBOOL(hAPP(hAPP(c_member(_u15375), _u15377), hAPP(c_List_Oset(_u15375), _u15379))) )).
% 12.54/12.79 cnf(matrix-6698, plain, ( hBOOL(hAPP(hAPP(c_member(_u15381), _u15383), hAPP(c_List_Oset(_u15381), _u15385))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15380, _u15381)), hAPP(hAPP(c_Product__Type_OPair(_u15380, _u15381), _u15382), _u15383)), hAPP(c_List_Oset(tc_prod(_u15380, _u15381)), hAPP(hAPP(c_List_Ozip(_u15380, _u15381), _u15384), _u15385)))) )).
% 12.54/12.79 cnf(matrix-6699, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15386, _u15387)), hAPP(hAPP(c_Product__Type_OPair(_u15386, _u15387), _u15388), _u15389)), hAPP(c_List_Oset(tc_prod(_u15386, _u15387)), hAPP(hAPP(c_List_Ozip(_u15386, _u15387), _u15390), _u15391)))) | hBOOL(hAPP(hAPP(c_member(_u15386), _u15388), hAPP(c_List_Oset(_u15386), _u15390))) )).
% 12.54/12.79 cnf(matrix-6700, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15396, _u15396)), hAPP(hAPP(c_Product__Type_OPair(_u15396, _u15396), _u15398), _u15400)), hAPP(c_List_Oset(tc_prod(_u15396, _u15396)), hAPP(hAPP(c_List_Ozip(_u15396, _u15396), _u15402), _u15402)))) | hBOOL(hAPP(hAPP(c_member(_u15396), _u15398), hAPP(c_List_Oset(_u15396), _u15402))) )).
% 12.54/12.79 cnf(matrix-6701, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15396, _u15396)), hAPP(hAPP(c_Product__Type_OPair(_u15396, _u15396), _u15398), _u15400)), hAPP(c_List_Oset(tc_prod(_u15396, _u15396)), hAPP(hAPP(c_List_Ozip(_u15396, _u15396), _u15402), _u15402)))) | ( _u15398 = _u15400) )).
% 12.54/12.79 cnf(matrix-6702, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15397), _u15399), hAPP(c_List_Oset(_u15397), _u15403))) | ( _u15399 != _u15401) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15397, _u15397)), hAPP(hAPP(c_Product__Type_OPair(_u15397, _u15397), _u15399), _u15401)), hAPP(c_List_Oset(tc_prod(_u15397, _u15397)), hAPP(hAPP(c_List_Ozip(_u15397, _u15397), _u15403), _u15403)))) )).
% 12.54/12.79 cnf(matrix-6703, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15404), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15405)), _u15406))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15404), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15407)), _u15408))) | ( hAPP(hAPP(c_List_Onth(tc_prod(_u15405, _u15407)), hAPP(hAPP(c_List_Ozip(_u15405, _u15407), _u15406), _u15408)), _u15404) = hAPP(hAPP(c_Product__Type_OPair(_u15405, _u15407), hAPP(hAPP(c_List_Onth(_u15405), _u15406), _u15404)), hAPP(hAPP(c_List_Onth(_u15407), _u15408), _u15404))) )).
% 12.54/12.79 cnf(matrix-6704, plain, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u15409, _u15410) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15409), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u15410), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.54/12.79 cnf(matrix-6705, plain, ( ~class_Groups_Ocomm__monoid__add(_u15411) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15411), _u15412) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u15411), hAPP(c_List_Onth(_u15411), _u15412)), 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(_u15411)), _u15412)))) )).
% 12.54/12.79 cnf(matrix-6706, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15416) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u15413), hAPP(c_List_Oset(tc_Nat_Onat), _u15416))) | ( _u15413 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.79 cnf(matrix-6707, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15417) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem426(_u15417)), hAPP(c_List_Oset(tc_Nat_Onat), _u15417))) )).
% 12.54/12.79 cnf(matrix-6708, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15417) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem426(_u15417) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.79 cnf(matrix-6709, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u15418, _u15419) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15418, _u15419))) )).
% 12.54/12.79 cnf(matrix-6710, plain, ( ( hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15420, _u15421)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u15420, _u15421)) )).
% 12.54/12.79 cnf(matrix-6711, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15422), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u15423))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u15423), _u15422)), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15423))) )).
% 12.54/12.79 cnf(matrix-6712, plain, ( ~class_Groups_Omonoid__add(_u15424) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15424), hAPP(hAPP(c_List_Olist_OCons(_u15424), _u15425), _u15426)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15424), _u15425), hAPP(c_List_Omonoid__add__class_Olistsum(_u15424), _u15426))) )).
% 12.54/12.79 cnf(matrix-6713, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u15427), _u15428) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15427, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u15428), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.54/12.79 cnf(matrix-6714, plain, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u15429, _u15430) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15429), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u15430))) )).
% 12.54/12.79 cnf(matrix-6715, plain, ( ~c_List_Onat__list(_u15432) | c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u15432)) )).
% 12.54/12.79 cnf(matrix-6716, plain, ( ~c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u15433)) | c_List_Onat__list(_u15433) )).
% 12.54/12.79 cnf(matrix-6717, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u15435, _u15437, _u15436)), c_List_Olist_Olist__size(_u15435, _u15438, _u15436))) | hBOOL(hAPP(hAPP(c_member(_u15435), skolem427(_u15438, _u15437, _u15436, _u15435)), hAPP(c_List_Oset(_u15435), _u15436))) )).
% 12.54/12.79 cnf(matrix-6718, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u15435, _u15437, _u15436)), c_List_Olist_Olist__size(_u15435, _u15438, _u15436))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u15437, skolem427(_u15438, _u15437, _u15436, _u15435))), hAPP(_u15438, skolem427(_u15438, _u15437, _u15436, _u15435)))) )).
% 12.54/12.79 cnf(matrix-6719, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15439), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u15440))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Olist__update(tc_Nat_Onat, _u15440), _u15439), _u15441)) = 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), _u15440)), _u15441)), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u15440), _u15439))) )).
% 12.54/12.79 cnf(matrix-6720, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15442), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15443)), _u15444))) | ( c_List_Obutlast(_u15443, hAPP(hAPP(c_List_Otake(_u15443), _u15442), _u15444)) = hAPP(hAPP(c_List_Otake(_u15443), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15442), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15444)) )).
% 12.54/12.79 cnf(matrix-6721, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15445)), _u15446)), _u15447)) | ( hAPP(hAPP(c_List_Olist__update(_u15445, _u15446), _u15447), _u15448) = _u15446) )).
% 12.54/12.79 cnf(matrix-6722, plain, ( ( _u15449 = _u15450) | ( hAPP(hAPP(c_List_Onth(_u15451), hAPP(hAPP(c_List_Olist__update(_u15451, _u15452), _u15449), _u15453)), _u15450) = hAPP(hAPP(c_List_Onth(_u15451), _u15452), _u15450)) )).
% 12.54/12.79 cnf(matrix-6723, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15454, _u15455), _u15456), hAPP(hAPP(c_List_Onth(_u15454), _u15455), _u15456)) = _u15455) )).
% 12.54/12.79 cnf(matrix-6724, plain, ( ( _u15461 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15463)), _u15465)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u15463, hAPP(hAPP(c_List_Olist__update(_u15463, _u15465), _u15461), _u15467)) = c_List_Obutlast(_u15463, _u15465)) )).
% 12.54/12.79 cnf(matrix-6725, plain, ( ( _u15462 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15464)), _u15466)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u15464, hAPP(hAPP(c_List_Olist__update(_u15464, _u15466), _u15462), _u15468)) = hAPP(hAPP(c_List_Olist__update(_u15464, c_List_Obutlast(_u15464, _u15466)), _u15462), _u15468)) )).
% 12.54/12.79 cnf(matrix-6726, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15469)), hAPP(hAPP(c_List_Olist__update(_u15469, _u15470), _u15471), _u15472)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15469)), _u15470)) )).
% 12.54/12.79 cnf(matrix-6727, plain, ( ( hAPP(hAPP(c_List_Ozip(_u15473, _u15474), hAPP(hAPP(c_List_Olist__update(_u15473, _u15475), _u15476), _u15477)), hAPP(hAPP(c_List_Olist__update(_u15474, _u15478), _u15476), _u15479)) = hAPP(hAPP(c_List_Olist__update(tc_prod(_u15473, _u15474), hAPP(hAPP(c_List_Ozip(_u15473, _u15474), _u15475), _u15478)), _u15476), hAPP(hAPP(c_Product__Type_OPair(_u15473, _u15474), _u15477), _u15479))) )).
% 12.54/12.79 cnf(matrix-6728, plain, ( ( hAPP(hAPP(c_List_Olist__update(tc_prod(_u15480, _u15481), hAPP(hAPP(c_List_Ozip(_u15480, _u15481), _u15482), _u15483)), _u15484), _u15485) = hAPP(hAPP(c_List_Ozip(_u15480, _u15481), hAPP(hAPP(c_List_Olist__update(_u15480, _u15482), _u15484), hAPP(c_Product__Type_Ofst(_u15480, _u15481), _u15485))), hAPP(hAPP(c_List_Olist__update(_u15481, _u15483), _u15484), hAPP(c_Product__Type_Osnd(_u15480, _u15481), _u15485)))) )).
% 12.54/12.79 cnf(matrix-6729, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15486, hAPP(hAPP(c_List_Olist__update(_u15486, _u15487), _u15488), _u15489)), _u15488), _u15490) = hAPP(hAPP(c_List_Olist__update(_u15486, _u15487), _u15488), _u15490)) )).
% 12.54/12.79 cnf(matrix-6730, plain, ( ( _u15491 = _u15492) | ( hAPP(hAPP(c_List_Olist__update(_u15493, hAPP(hAPP(c_List_Olist__update(_u15493, _u15494), _u15491), _u15495)), _u15492), _u15496) = hAPP(hAPP(c_List_Olist__update(_u15493, hAPP(hAPP(c_List_Olist__update(_u15493, _u15494), _u15492), _u15496)), _u15491), _u15495)) )).
% 12.54/12.79 cnf(matrix-6731, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15497, hAPP(hAPP(c_List_Olist_OCons(_u15497), _u15498), _u15499)), _u15500), _u15501) = c_Nat_Onat_Onat__case(tc_List_Olist(_u15497), hAPP(hAPP(c_List_Olist_OCons(_u15497), _u15501), _u15499), hAPP(hAPP(c_COMBB(tc_List_Olist(_u15497), tc_List_Olist(_u15497), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u15497), _u15498)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u15497, tc_List_Olist(_u15497)), c_List_Olist__update(_u15497, _u15499)), _u15501)), _u15500)) )).
% 12.54/12.79 cnf(matrix-6732, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15502, hAPP(hAPP(c_List_Olist_OCons(_u15502), _u15503), _u15504)), hAPP(c_Nat_OSuc, _u15505)), _u15506) = hAPP(hAPP(c_List_Olist_OCons(_u15502), _u15503), hAPP(hAPP(c_List_Olist__update(_u15502, _u15504), _u15505), _u15506))) )).
% 12.54/12.79 cnf(matrix-6733, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15507, hAPP(hAPP(c_List_Olist_OCons(_u15507), _u15508), _u15509)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15510) = hAPP(hAPP(c_List_Olist_OCons(_u15507), _u15510), _u15509)) )).
% 12.54/12.79 cnf(matrix-6734, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15511), _u15512), hAPP(c_List_Oset(_u15511), c_List_Obutlast(_u15511, _u15513)))) | hBOOL(hAPP(hAPP(c_member(_u15511), _u15512), hAPP(c_List_Oset(_u15511), _u15513))) )).
% 12.54/12.79 cnf(matrix-6735, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15514, tc_HOL_Obool)), hAPP(c_List_Oset(_u15514), _u15515)), _u15516)) | ~hBOOL(hAPP(hAPP(c_member(_u15514), _u15517), _u15516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15514, tc_HOL_Obool)), hAPP(c_List_Oset(_u15514), hAPP(hAPP(c_List_Olist__update(_u15514, _u15515), _u15518), _u15517))), _u15516)) )).
% 12.54/12.79 cnf(matrix-6736, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15519, tc_HOL_Obool)), hAPP(c_List_Oset(_u15519), hAPP(hAPP(c_List_Olist__update(_u15519, _u15520), _u15521), _u15522))), hAPP(hAPP(c_Set_Oinsert(_u15519), _u15522), hAPP(c_List_Oset(_u15519), _u15520)))) )).
% 12.54/12.79 cnf(matrix-6737, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15523), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15524)), _u15525))) | ( hAPP(hAPP(c_List_Onth(_u15524), hAPP(hAPP(c_List_Olist__update(_u15524, _u15525), _u15523), _u15526)), _u15523) = _u15526) )).
% 12.54/12.79 cnf(matrix-6738, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15527), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15528)), _u15529))) | ( hAPP(hAPP(c_List_Olist__update(_u15528, _u15529), _u15527), _u15530) != _u15529) | ( hAPP(hAPP(c_List_Onth(_u15528), _u15529), _u15527) = _u15530) )).
% 12.54/12.79 cnf(matrix-6739, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15527), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15528)), _u15529))) | ( hAPP(hAPP(c_List_Onth(_u15528), _u15529), _u15527) != _u15530) | ( hAPP(hAPP(c_List_Olist__update(_u15528, _u15529), _u15527), _u15530) = _u15529) )).
% 12.54/12.79 cnf(matrix-6740, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15531), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15532)), _u15533))) | ( _u15531 != _u15534) | ( hAPP(hAPP(c_List_Onth(_u15532), hAPP(hAPP(c_List_Olist__update(_u15532, _u15533), _u15531), _u15535)), _u15534) = _u15535) )).
% 12.54/12.79 cnf(matrix-6741, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15531), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15532)), _u15533))) | ( _u15531 = _u15534) | ( hAPP(hAPP(c_List_Onth(_u15532), hAPP(hAPP(c_List_Olist__update(_u15532, _u15533), _u15531), _u15535)), _u15534) = hAPP(hAPP(c_List_Onth(_u15532), _u15533), _u15534)) )).
% 12.54/12.79 cnf(matrix-6742, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15536), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15537)), _u15538))) | ( hAPP(hAPP(c_List_Otake(_u15537), _u15536), c_List_Obutlast(_u15537, _u15538)) = hAPP(hAPP(c_List_Otake(_u15537), _u15536), _u15538)) )).
% 12.54/12.79 cnf(matrix-6743, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15539)), c_List_Obutlast(_u15539, _u15540)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15539)), _u15540)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.54/12.79 cnf(matrix-6744, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15541), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15542)), _u15543))) | hBOOL(hAPP(hAPP(c_member(_u15542), _u15544), hAPP(c_List_Oset(_u15542), hAPP(hAPP(c_List_Olist__update(_u15542, _u15543), _u15541), _u15544)))) )).
% 12.54/12.79 cnf(matrix-6745, plain, ( ( c_List_Obutlast(_u15545, _u15546) = hAPP(hAPP(c_List_Otake(_u15545), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15545)), _u15546)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15546)) )).
% 12.54/12.79 cnf(matrix-6746, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15555), tc_List_Olist(_u15555))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15555), tc_List_Olist(_u15555)), _u15557), _u15559)), c_List_Olistrel1(_u15555, _u15561))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15555, _u15555)), hAPP(hAPP(c_Product__Type_OPair(_u15555, _u15555), hAPP(hAPP(c_List_Onth(_u15555), _u15557), skolem429(_u15561, _u15559, _u15557, _u15555))), skolem428(_u15561, _u15559, _u15557, _u15555))), _u15561)) )).
% 12.54/12.79 cnf(matrix-6747, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15555), tc_List_Olist(_u15555))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15555), tc_List_Olist(_u15555)), _u15557), _u15559)), c_List_Olistrel1(_u15555, _u15561))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem429(_u15561, _u15559, _u15557, _u15555)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15555)), _u15557))) )).
% 12.54/12.79 cnf(matrix-6748, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15555), tc_List_Olist(_u15555))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15555), tc_List_Olist(_u15555)), _u15557), _u15559)), c_List_Olistrel1(_u15555, _u15561))) | ( _u15559 = hAPP(hAPP(c_List_Olist__update(_u15555, _u15557), skolem429(_u15561, _u15559, _u15557, _u15555)), skolem428(_u15561, _u15559, _u15557, _u15555))) )).
% 12.54/12.79 cnf(matrix-6749, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15556, _u15556)), hAPP(hAPP(c_Product__Type_OPair(_u15556, _u15556), hAPP(hAPP(c_List_Onth(_u15556), _u15558), _u15549)), _u15550)), _u15562)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15549), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15556)), _u15558))) | ( _u15560 != hAPP(hAPP(c_List_Olist__update(_u15556, _u15558), _u15549), _u15550)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15556), tc_List_Olist(_u15556))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15556), tc_List_Olist(_u15556)), _u15558), _u15560)), c_List_Olistrel1(_u15556, _u15562))) )).
% 12.54/12.79 cnf(matrix-6750, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15563), _u15564)) | hBOOL(hAPP(hAPP(c_member(_u15563), _u15565), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15563, tc_HOL_Obool)), hAPP(c_List_Oset(_u15563), _u15564)), hAPP(hAPP(c_Set_Oinsert(_u15563), hAPP(hAPP(c_List_Onth(_u15563), _u15564), _u15566)), c_Orderings_Obot__class_Obot(tc_fun(_u15563, tc_HOL_Obool)))))) | hBOOL(hAPP(c_List_Odistinct(_u15563), hAPP(hAPP(c_List_Olist__update(_u15563, _u15564), _u15566), _u15565))) )).
% 12.54/12.79 cnf(matrix-6751, plain, ( hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint), c_List_Oupto(_u15567, _u15568))) )).
% 12.54/12.79 cnf(matrix-6752, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15569), _u15570)) | hBOOL(hAPP(c_List_Odistinct(_u15569), hAPP(hAPP(c_List_Otake(_u15569), _u15571), _u15570))) )).
% 12.54/12.79 cnf(matrix-6753, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15572), _u15573)) | hBOOL(hAPP(c_List_Odistinct(_u15572), c_List_Osublist(_u15572, _u15573, _u15574))) )).
% 12.54/12.79 cnf(matrix-6754, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15575), _u15576)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u15575, _u15577)), hAPP(hAPP(c_List_Ozip(_u15575, _u15577), _u15576), _u15578))) )).
% 12.54/12.79 cnf(matrix-6755, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15579), _u15580)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u15581, _u15579)), hAPP(hAPP(c_List_Ozip(_u15581, _u15579), _u15582), _u15580))) )).
% 12.54/12.79 cnf(matrix-6756, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15586), hAPP(hAPP(c_List_Olist_OCons(_u15586), _u15588), _u15590))) | ~hBOOL(hAPP(hAPP(c_member(_u15586), _u15588), hAPP(c_List_Oset(_u15586), _u15590))) )).
% 12.54/12.79 cnf(matrix-6757, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15586), hAPP(hAPP(c_List_Olist_OCons(_u15586), _u15588), _u15590))) | hBOOL(hAPP(c_List_Odistinct(_u15586), _u15590)) )).
% 12.54/12.79 cnf(matrix-6758, plain, ( hBOOL(hAPP(hAPP(c_member(_u15587), _u15589), hAPP(c_List_Oset(_u15587), _u15591))) | ~hBOOL(hAPP(c_List_Odistinct(_u15587), _u15591)) | hBOOL(hAPP(c_List_Odistinct(_u15587), hAPP(hAPP(c_List_Olist_OCons(_u15587), _u15589), _u15591))) )).
% 12.54/12.79 cnf(matrix-6759, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15592), _u15593)) | ( hAPP(c_Finite__Set_Ocard(_u15592), hAPP(c_List_Oset(_u15592), _u15593)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15592)), _u15593)) )).
% 12.54/12.79 cnf(matrix-6760, plain, ( ( hAPP(c_Finite__Set_Ocard(_u15594), hAPP(c_List_Oset(_u15594), _u15595)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15594)), _u15595)) | hBOOL(hAPP(c_List_Odistinct(_u15594), _u15595)) )).
% 12.54/12.79 cnf(matrix-6761, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15596), _u15597)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15598), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15596)), _u15597))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15599), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15596)), _u15597))) | ( hAPP(hAPP(c_List_Onth(_u15596), _u15597), _u15598) != hAPP(hAPP(c_List_Onth(_u15596), _u15597), _u15599)) | ( _u15598 = _u15599) )).
% 12.54/12.79 cnf(matrix-6762, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15596), _u15597)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15598), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15596)), _u15597))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15599), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15596)), _u15597))) | ( _u15598 != _u15599) | ( hAPP(hAPP(c_List_Onth(_u15596), _u15597), _u15598) = hAPP(hAPP(c_List_Onth(_u15596), _u15597), _u15599)) )).
% 12.54/12.79 cnf(matrix-6763, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15606), _u15608)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15601), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15606)), _u15608))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15600), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15606)), _u15608))) | ( _u15601 = _u15600) | ( hAPP(hAPP(c_List_Onth(_u15606), _u15608), _u15601) != hAPP(hAPP(c_List_Onth(_u15606), _u15608), _u15600)) )).
% 12.54/12.79 cnf(matrix-6764, plain, ( hBOOL(hAPP(c_List_Odistinct(_u15607), _u15609)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem430(_u15609, _u15607)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15607)), _u15609))) )).
% 12.54/12.79 cnf(matrix-6765, plain, ( hBOOL(hAPP(c_List_Odistinct(_u15607), _u15609)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem431(_u15609, _u15607)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15607)), _u15609))) )).
% 12.54/12.79 cnf(matrix-6766, plain, ( hBOOL(hAPP(c_List_Odistinct(_u15607), _u15609)) | ( skolem430(_u15609, _u15607) != skolem431(_u15609, _u15607)) )).
% 12.54/12.79 cnf(matrix-6767, plain, ( hBOOL(hAPP(c_List_Odistinct(_u15607), _u15609)) | ( hAPP(hAPP(c_List_Onth(_u15607), _u15609), skolem430(_u15609, _u15607)) = hAPP(hAPP(c_List_Onth(_u15607), _u15609), skolem431(_u15609, _u15607))) )).
% 12.54/12.79 cnf(matrix-6768, plain, ( ~class_Groups_Ocomm__monoid__add(_u15610) | ~hBOOL(hAPP(c_List_Odistinct(_u15610), _u15611)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15610), _u15611) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15610, _u15610), c_COMBI(_u15610)), hAPP(c_List_Oset(_u15610), _u15611))) )).
% 12.54/12.79 cnf(matrix-6769, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15614), _u15616)) | ( c_Nitpick_Ocard_H(_u15614, _u15616) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15614)), c_Hilbert__Choice_OEps(tc_List_Olist(_u15614), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15614), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15614)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15614), tc_fun(_u15614, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15614, tc_HOL_Obool), tc_fun(tc_fun(_u15614, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15614)), c_fequal), c_List_Oset(_u15614))), _u15616))), c_List_Odistinct(_u15614))))) )).
% 12.54/12.79 cnf(matrix-6770, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u15615), _u15617)) | ( c_Nitpick_Ocard_H(_u15615, _u15617) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.79 cnf(matrix-6771, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15619), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15620)), _u15621))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15619), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15620)), _u15622))) | ( hAPP(hAPP(c_List_Otake(_u15620), _u15619), _u15621) = hAPP(hAPP(c_List_Otake(_u15620), _u15619), _u15622)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem432(_u15622, _u15621, _u15620, _u15619)), _u15619)) )).
% 12.54/12.79 cnf(matrix-6772, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15619), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15620)), _u15621))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15619), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15620)), _u15622))) | ( hAPP(hAPP(c_List_Otake(_u15620), _u15619), _u15621) = hAPP(hAPP(c_List_Otake(_u15620), _u15619), _u15622)) | ( hAPP(hAPP(c_List_Onth(_u15620), _u15621), skolem432(_u15622, _u15621, _u15620, _u15619)) != hAPP(hAPP(c_List_Onth(_u15620), _u15622), skolem432(_u15622, _u15621, _u15620, _u15619))) )).
% 12.54/12.79 cnf(matrix-6773, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15623), _u15624)) | ( hAPP(c_List_Oset(_u15623), c_List_Oremove1(_u15623, _u15625, _u15624)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15623, tc_HOL_Obool)), hAPP(c_List_Oset(_u15623), _u15624)), hAPP(hAPP(c_Set_Oinsert(_u15623), _u15625), c_Orderings_Obot__class_Obot(tc_fun(_u15623, tc_HOL_Obool))))) )).
% 12.54/12.79 cnf(matrix-6774, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15630) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u15632), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15630)), hAPP(hAPP(c_List_Olist_OCons(_u15632), _u15634), _u15636)) = c_List_Olist_ONil(_u15632)) )).
% 12.54/12.79 cnf(matrix-6775, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15631) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u15633), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15631)), hAPP(hAPP(c_List_Olist_OCons(_u15633), _u15635), _u15637)) = hAPP(hAPP(c_List_Olist_OCons(_u15633), _u15635), hAPP(hAPP(c_List_Otake(_u15633), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15631)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15637))) )).
% 12.54/12.79 cnf(matrix-6776, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15638)), c_List_Olist_ONil(_u15638)), c_List_Olists(_u15638, _u15639))) )).
% 12.54/12.79 cnf(matrix-6777, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15640), tc_List_Olist(_u15640))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15640), tc_List_Olist(_u15640)), _u15641), c_List_Olist_ONil(_u15640))), c_List_Olistrel(_u15640, _u15642))) | ( _u15641 = c_List_Olist_ONil(_u15640)) )).
% 12.54/12.79 cnf(matrix-6778, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15643), tc_List_Olist(_u15643))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15643), tc_List_Olist(_u15643)), c_List_Olist_ONil(_u15643)), _u15644)), c_List_Olistrel(_u15643, _u15645))) | ( _u15644 = c_List_Olist_ONil(_u15643)) )).
% 12.54/12.79 cnf(matrix-6779, plain, ( ( _u15646 = c_List_Olist_ONil(_u15647)) | ~hBOOL(hAPP(c_List_Odistinct(_u15647), _u15646)) | hBOOL(hAPP(c_List_Odistinct(_u15647), c_List_Obutlast(_u15647, _u15646))) )).
% 12.54/12.79 cnf(matrix-6780, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15648), _u15649)) | hBOOL(hAPP(c_List_Odistinct(_u15648), c_List_Oremove1(_u15648, _u15650, _u15649))) )).
% 12.54/12.79 cnf(matrix-6781, plain, ( hBOOL(hAPP(c_List_Odistinct(_u15651), c_List_Olist_ONil(_u15651))) )).
% 12.54/12.79 cnf(matrix-6782, plain, ( ( c_List_Obutlast(_u15652, c_List_Olist_ONil(_u15652)) = c_List_Olist_ONil(_u15652)) )).
% 12.54/12.79 cnf(matrix-6783, plain, ( ( _u15656 != c_List_Olist_ONil(_u15658)) | ( c_List_Obutlast(_u15658, hAPP(hAPP(c_List_Olist_OCons(_u15658), _u15660), _u15656)) = c_List_Olist_ONil(_u15658)) )).
% 12.54/12.79 cnf(matrix-6784, plain, ( ( _u15657 = c_List_Olist_ONil(_u15659)) | ( c_List_Obutlast(_u15659, hAPP(hAPP(c_List_Olist_OCons(_u15659), _u15661), _u15657)) = hAPP(hAPP(c_List_Olist_OCons(_u15659), _u15661), c_List_Obutlast(_u15659, _u15657))) )).
% 12.54/12.79 cnf(matrix-6785, plain, ( ( c_List_Olist_ONil(_u15662) != hAPP(hAPP(c_List_Olist_OCons(_u15662), _u15663), _u15664)) )).
% 12.54/12.79 cnf(matrix-6786, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15665), _u15666), _u15667) != c_List_Olist_ONil(_u15665)) )).
% 12.54/12.79 cnf(matrix-6787, plain, ( ( _u15672 != _u15674) | ( c_List_Oremove1(_u15676, _u15672, hAPP(hAPP(c_List_Olist_OCons(_u15676), _u15674), _u15678)) = _u15678) )).
% 12.54/12.79 cnf(matrix-6788, plain, ( ( _u15673 = _u15675) | ( c_List_Oremove1(_u15677, _u15673, hAPP(hAPP(c_List_Olist_OCons(_u15677), _u15675), _u15679)) = hAPP(hAPP(c_List_Olist_OCons(_u15677), _u15675), c_List_Oremove1(_u15677, _u15673, _u15679))) )).
% 12.54/12.79 cnf(matrix-6789, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u15680), _u15681)) | ( c_List_Oupto(_u15681, _u15680) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.54/12.79 cnf(matrix-6790, plain, ( ( hAPP(hAPP(c_List_Otake(_u15682), _u15683), c_List_Olist_ONil(_u15682)) = c_List_Olist_ONil(_u15682)) )).
% 12.54/12.79 cnf(matrix-6791, plain, ( ( hAPP(hAPP(c_List_Otake(_u15687), _u15689), _u15691) != c_List_Olist_ONil(_u15687)) | ( _u15689 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u15691 = c_List_Olist_ONil(_u15687)) )).
% 12.54/12.79 cnf(matrix-6792, plain, ( ( hAPP(hAPP(c_List_Otake(_u15688), _u15690), _u15692) = c_List_Olist_ONil(_u15688)) | ( _u15690 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.79 cnf(matrix-6793, plain, ( ( hAPP(hAPP(c_List_Otake(_u15688), _u15690), _u15692) = c_List_Olist_ONil(_u15688)) | ( _u15692 != c_List_Olist_ONil(_u15688)) )).
% 12.54/12.79 cnf(matrix-6794, plain, ( ( hAPP(hAPP(c_List_Otake(_u15693), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15694) = c_List_Olist_ONil(_u15693)) )).
% 12.54/12.79 cnf(matrix-6795, plain, ( ( c_List_Osublist(_u15695, c_List_Olist_ONil(_u15695), _u15696) = c_List_Olist_ONil(_u15695)) )).
% 12.54/12.79 cnf(matrix-6796, plain, ( ( c_List_Oremove1(_u15697, _u15698, c_List_Oremove1(_u15697, _u15699, _u15700)) = c_List_Oremove1(_u15697, _u15699, c_List_Oremove1(_u15697, _u15698, _u15700))) )).
% 12.54/12.79 cnf(matrix-6797, plain, ( ( c_List_Oremove1(_u15701, _u15702, c_List_Olist_ONil(_u15701)) = c_List_Olist_ONil(_u15701)) )).
% 12.54/12.79 cnf(matrix-6798, plain, ( c_List_Olistrelp(_u15703, _u15704, c_List_Olist_ONil(_u15703), c_List_Olist_ONil(_u15703)) )).
% 12.54/12.79 cnf(matrix-6799, plain, ( c_List_Olistrelp(_u15705, _u15706, c_List_Olist_ONil(_u15705), c_List_Olist_ONil(_u15705)) )).
% 12.54/12.79 cnf(matrix-6800, plain, ( ( hAPP(hAPP(c_List_Ozip(_u15707, _u15708), c_List_Olist_ONil(_u15707)), _u15709) = c_List_Olist_ONil(tc_prod(_u15707, _u15708))) )).
% 12.54/12.79 cnf(matrix-6801, plain, ( ( hAPP(hAPP(c_List_Ozip(_u15710, _u15711), _u15712), c_List_Olist_ONil(_u15711)) = c_List_Olist_ONil(tc_prod(_u15710, _u15711))) )).
% 12.54/12.79 cnf(matrix-6802, plain, ( ~class_Groups_Omonoid__add(_u15713) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15713), c_List_Olist_ONil(_u15713)) = c_Groups_Ozero__class_Ozero(_u15713)) )).
% 12.54/12.79 cnf(matrix-6803, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15716)), _u15718) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u15718 = c_List_Olist_ONil(_u15716)) )).
% 12.54/12.79 cnf(matrix-6804, plain, ( ( _u15719 != c_List_Olist_ONil(_u15717)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15717)), _u15719) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.79 cnf(matrix-6805, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15720)), c_List_Olist_ONil(_u15720)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.79 cnf(matrix-6806, plain, ( ( hAPP(c_List_Oset(_u15721), c_List_Olist_ONil(_u15721)) = c_Orderings_Obot__class_Obot(tc_fun(_u15721, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-6807, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u15724, tc_HOL_Obool)) != hAPP(c_List_Oset(_u15724), _u15726)) | ( _u15726 = c_List_Olist_ONil(_u15724)) )).
% 12.54/12.79 cnf(matrix-6808, plain, ( ( _u15727 != c_List_Olist_ONil(_u15725)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u15725, tc_HOL_Obool)) = hAPP(c_List_Oset(_u15725), _u15727)) )).
% 12.54/12.79 cnf(matrix-6809, plain, ( ( hAPP(c_List_Oset(_u15730), _u15732) != c_Orderings_Obot__class_Obot(tc_fun(_u15730, tc_HOL_Obool))) | ( _u15732 = c_List_Olist_ONil(_u15730)) )).
% 12.54/12.79 cnf(matrix-6810, plain, ( ( _u15733 != c_List_Olist_ONil(_u15731)) | ( hAPP(c_List_Oset(_u15731), _u15733) = c_Orderings_Obot__class_Obot(tc_fun(_u15731, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-6811, plain, ( ( c_List_Olist_Olist__size(_u15734, _u15735, c_List_Olist_ONil(_u15734)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.79 cnf(matrix-6812, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15736, c_List_Olist_ONil(_u15736)), _u15737), _u15738) = c_List_Olist_ONil(_u15736)) )).
% 12.54/12.79 cnf(matrix-6813, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15739, c_List_Olist_ONil(_u15739)), _u15740), _u15741) = c_List_Olist_ONil(_u15739)) )).
% 12.54/12.79 cnf(matrix-6814, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15746, _u15748), _u15750), _u15752) != c_List_Olist_ONil(_u15746)) | ( _u15748 = c_List_Olist_ONil(_u15746)) )).
% 12.54/12.79 cnf(matrix-6815, plain, ( ( _u15749 != c_List_Olist_ONil(_u15747)) | ( hAPP(hAPP(c_List_Olist__update(_u15747, _u15749), _u15751), _u15753) = c_List_Olist_ONil(_u15747)) )).
% 12.54/12.79 cnf(matrix-6816, plain, ( ( _u15754 = _u15755) | ~hBOOL(hAPP(hAPP(c_member(_u15756), _u15754), hAPP(c_List_Oset(_u15756), c_List_Oremove1(_u15756, _u15755, _u15757)))) | hBOOL(hAPP(hAPP(c_member(_u15756), _u15754), hAPP(c_List_Oset(_u15756), _u15757))) )).
% 12.54/12.79 cnf(matrix-6817, plain, ( ( _u15754 = _u15755) | ~hBOOL(hAPP(hAPP(c_member(_u15756), _u15754), hAPP(c_List_Oset(_u15756), _u15757))) | hBOOL(hAPP(hAPP(c_member(_u15756), _u15754), hAPP(c_List_Oset(_u15756), c_List_Oremove1(_u15756, _u15755, _u15757)))) )).
% 12.54/12.79 cnf(matrix-6818, plain, ( hBOOL(hAPP(hAPP(c_member(_u15758), _u15759), hAPP(c_List_Oset(_u15758), _u15760))) | ~hBOOL(hAPP(hAPP(c_member(_u15758), _u15759), hAPP(c_List_Oset(_u15758), c_List_Oremove1(_u15758, _u15761, _u15760)))) )).
% 12.54/12.79 cnf(matrix-6819, plain, ( hBOOL(hAPP(hAPP(c_member(_u15762), _u15763), hAPP(c_List_Oset(_u15762), _u15764))) | ( c_List_Oremove1(_u15762, _u15763, _u15764) = _u15764) )).
% 12.54/12.79 cnf(matrix-6820, plain, ( ( c_List_Osublist(_u15765, _u15766, c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) = c_List_Olist_ONil(_u15765)) )).
% 12.54/12.79 cnf(matrix-6821, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15767, tc_HOL_Obool)), hAPP(c_List_Oset(_u15767), c_List_Oremove1(_u15767, _u15768, _u15769))), hAPP(c_List_Oset(_u15767), _u15769))) )).
% 12.54/12.79 cnf(matrix-6822, 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(_u15772)), _u15774))) | ( _u15774 != c_List_Olist_ONil(_u15772)) )).
% 12.54/12.79 cnf(matrix-6823, plain, ( ( _u15775 = c_List_Olist_ONil(_u15773)) | 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(_u15773)), _u15775))) )).
% 12.54/12.79 cnf(matrix-6824, plain, ( ( hAPP(hAPP(c_List_Otake(_u15776), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u15776), _u15777), _u15778)) = hAPP(hAPP(c_List_Olist_OCons(_u15776), _u15777), c_List_Olist_ONil(_u15776))) )).
% 12.54/12.79 cnf(matrix-6825, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15779), tc_List_Olist(_u15779))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15779), tc_List_Olist(_u15779)), _u15780), c_List_Olist_ONil(_u15779))), c_List_Olistrel1(_u15779, _u15781))) )).
% 12.54/12.79 cnf(matrix-6826, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15782), tc_List_Olist(_u15782))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15782), tc_List_Olist(_u15782)), c_List_Olist_ONil(_u15782)), _u15783)), c_List_Olistrel1(_u15782, _u15784))) )).
% 12.54/12.79 cnf(matrix-6827, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15785), tc_List_Olist(_u15785))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15785), tc_List_Olist(_u15785)), c_List_Olist_ONil(_u15785)), c_List_Olist_ONil(_u15785))), c_List_Olistrel(_u15785, _u15786))) )).
% 12.54/12.79 cnf(matrix-6828, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15787), tc_List_Olist(_u15787))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15787), tc_List_Olist(_u15787)), _u15788), c_List_Olist_ONil(_u15787))), c_List_Olexord(_u15787, _u15789))) )).
% 12.54/12.79 cnf(matrix-6829, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15790), tc_List_Olist(_u15790))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15790), tc_List_Olist(_u15790)), _u15791), c_List_Olist_ONil(_u15790))), c_List_Olex(_u15790, _u15792))) )).
% 12.54/12.79 cnf(matrix-6830, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15793), tc_List_Olist(_u15793))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15793), tc_List_Olist(_u15793)), c_List_Olist_ONil(_u15793)), _u15794)), c_List_Olex(_u15793, _u15795))) )).
% 12.54/12.79 cnf(matrix-6831, plain, ( ( hAPP(hAPP(c_List_Otake(_u15796), _u15797), hAPP(hAPP(c_List_Olist_OCons(_u15796), _u15798), _u15799)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u15796), c_List_Olist_ONil(_u15796), hAPP(hAPP(c_COMBB(tc_List_Olist(_u15796), tc_List_Olist(_u15796), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u15796), _u15798)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u15796), tc_List_Olist(_u15796)), c_List_Otake(_u15796)), _u15799)), _u15797)) )).
% 12.54/12.79 cnf(matrix-6832, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15802), _u15804)) | ( c_List_Oupto(_u15802, _u15804) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u15802), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15802), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u15804))) )).
% 12.54/12.79 cnf(matrix-6833, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15803), _u15805)) | ( c_List_Oupto(_u15803, _u15805) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.54/12.79 cnf(matrix-6834, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15809)) | ( c_List_Osublist(_u15811, hAPP(hAPP(c_List_Olist_OCons(_u15811), _u15813), c_List_Olist_ONil(_u15811)), _u15809) = hAPP(hAPP(c_List_Olist_OCons(_u15811), _u15813), c_List_Olist_ONil(_u15811))) )).
% 12.54/12.79 cnf(matrix-6835, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15810)) | ( c_List_Osublist(_u15812, hAPP(hAPP(c_List_Olist_OCons(_u15812), _u15814), c_List_Olist_ONil(_u15812)), _u15810) = c_List_Olist_ONil(_u15812)) )).
% 12.54/12.79 cnf(matrix-6836, plain, ( ( c_List_Olists(_u15815, c_Orderings_Obot__class_Obot(tc_fun(_u15815, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15815)), c_List_Olist_ONil(_u15815)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15815), tc_HOL_Obool)))) )).
% 12.54/12.79 cnf(matrix-6837, plain, ( ( _u15820 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u15822), _u15820), hAPP(hAPP(c_List_Olist_OCons(_u15822), _u15824), _u15826)) = c_List_Olist_ONil(_u15822)) )).
% 12.54/12.79 cnf(matrix-6838, plain, ( ( _u15821 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u15823), _u15821), hAPP(hAPP(c_List_Olist_OCons(_u15823), _u15825), _u15827)) = hAPP(hAPP(c_List_Olist_OCons(_u15823), _u15825), hAPP(hAPP(c_List_Otake(_u15823), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15821), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15827))) )).
% 12.54/12.79 cnf(matrix-6839, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15830)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15832))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15830), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15832)) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15830)), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15830)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15832)))) )).
% 12.54/12.79 cnf(matrix-6840, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15831)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15833))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15831), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15833)) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.54/12.79 cnf(matrix-6841, plain, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u15834), tc_List_Olist(_u15834), c_List_Olistrel(_u15834, _u15835)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15834)), c_List_Olist_ONil(_u15834)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15834), tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15834)), c_List_Olist_ONil(_u15834)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15834), tc_HOL_Obool)))) )).
% 12.54/12.79 cnf(matrix-6842, plain, ( ( c_List_Oset__Cons(_u15836, _u15837, hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15836)), c_List_Olist_ONil(_u15836)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15836), tc_HOL_Obool)))) = hAPP(c_Set_Oimage(_u15836, tc_List_Olist(_u15836), hAPP(hAPP(c_COMBC(_u15836, tc_List_Olist(_u15836), tc_List_Olist(_u15836)), c_List_Olist_OCons(_u15836)), c_List_Olist_ONil(_u15836))), _u15837)) )).
% 12.54/12.79 cnf(matrix-6843, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15841), _u15843), hAPP(c_List_Oset(_u15841), _u15845))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15841)), c_List_Oremove1(_u15841, _u15843, _u15845)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15841)), _u15845)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.54/12.79 cnf(matrix-6844, plain, ( hBOOL(hAPP(hAPP(c_member(_u15842), _u15844), hAPP(c_List_Oset(_u15842), _u15846))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15842)), c_List_Oremove1(_u15842, _u15844, _u15846)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15842)), _u15846)) )).
% 12.54/12.79 cnf(matrix-6845, 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), _u15847), _u15848))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15847), _u15848)) | ( c_List_Oupto(_u15847, _u15848) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u15847), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15847), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u15848))) )).
% 12.54/12.79 cnf(matrix-6846, 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), _u15847), _u15848))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15847), _u15848)) | ( c_List_Oupto(_u15847, _u15848) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.54/12.79 cnf(matrix-6847, plain, ( ( _u15849 = c_List_Olist_ONil(_u15850)) | hBOOL(hAPP(hAPP(c_member(_u15850), hAPP(c_Product__Type_Ofst(_u15850, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect(_u15850, _u15849), _u15851))), hAPP(c_List_Oset(_u15850), _u15849))) )).
% 12.54/12.79 cnf(matrix-6848, plain, ( ( c_List_Olistset(_u15852, c_List_Olist_ONil(tc_fun(_u15852, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15852)), c_List_Olist_ONil(_u15852)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15852), tc_HOL_Obool)))) )).
% 12.54/12.79 cnf(matrix-6849, plain, ( ( hAPP(hAPP(c_List_Ozip(_u15853, _u15854), hAPP(hAPP(c_List_Olist_OCons(_u15853), _u15855), _u15856)), _u15857) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u15853, _u15854)), _u15854, c_List_Olist_ONil(tc_prod(_u15853, _u15854)), hAPP(hAPP(c_COMBC(_u15854, tc_fun(tc_List_Olist(_u15854), tc_List_Olist(tc_prod(_u15853, _u15854))), tc_fun(tc_List_Olist(_u15854), tc_List_Olist(tc_prod(_u15853, _u15854)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u15853, _u15854)), tc_List_Olist(tc_prod(_u15853, _u15854))), tc_fun(tc_fun(tc_List_Olist(_u15854), tc_List_Olist(tc_prod(_u15853, _u15854))), tc_fun(tc_List_Olist(_u15854), tc_List_Olist(tc_prod(_u15853, _u15854)))), _u15854), c_COMBB(tc_List_Olist(tc_prod(_u15853, _u15854)), tc_List_Olist(tc_prod(_u15853, _u15854)), tc_List_Olist(_u15854))), hAPP(hAPP(c_COMBB(tc_prod(_u15853, _u15854), tc_fun(tc_List_Olist(tc_prod(_u15853, _u15854)), tc_List_Olist(tc_prod(_u15853, _u15854))), _u15854), c_List_Olist_OCons(tc_prod(_u15853, _u15854))), hAPP(c_Product__Type_OPair(_u15853, _u15854), _u15855)))), hAPP(c_List_Ozip(_u15853, _u15854), _u15856))), _u15857)) )).
% 12.54/12.79 cnf(matrix-6850, plain, ( ( hAPP(c_List_Olist_Olist__case(_u15858, _u15859, _u15860, _u15861), hAPP(hAPP(c_List_Olist_OCons(_u15859), _u15862), _u15863)) = hAPP(hAPP(_u15861, _u15862), _u15863)) )).
% 12.54/12.79 cnf(matrix-6851, plain, ( ( hAPP(c_List_Olist_Olist__case(_u15864, _u15865, _u15866, _u15867), c_List_Olist_ONil(_u15865)) = _u15866) )).
% 12.54/12.79 cnf(matrix-6852, plain, ( ( c_List_Olistset(_u15868, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u15868, tc_HOL_Obool)), _u15869), _u15870)) = c_List_Oset__Cons(_u15868, _u15869, c_List_Olistset(_u15868, _u15870))) )).
% 12.54/12.79 cnf(matrix-6853, plain, ( ( hAPP(hAPP(c_List_Ozip(_u15871, _u15872), _u15873), hAPP(hAPP(c_List_Olist_OCons(_u15872), _u15874), _u15875)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u15871, _u15872)), _u15871, c_List_Olist_ONil(tc_prod(_u15871, _u15872)), hAPP(hAPP(c_COMBC(_u15871, tc_fun(tc_List_Olist(_u15871), tc_List_Olist(tc_prod(_u15871, _u15872))), tc_fun(tc_List_Olist(_u15871), tc_List_Olist(tc_prod(_u15871, _u15872)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u15871, _u15872)), tc_List_Olist(tc_prod(_u15871, _u15872))), tc_fun(tc_fun(tc_List_Olist(_u15871), tc_List_Olist(tc_prod(_u15871, _u15872))), tc_fun(tc_List_Olist(_u15871), tc_List_Olist(tc_prod(_u15871, _u15872)))), _u15871), c_COMBB(tc_List_Olist(tc_prod(_u15871, _u15872)), tc_List_Olist(tc_prod(_u15871, _u15872)), tc_List_Olist(_u15871))), hAPP(hAPP(c_COMBB(tc_prod(_u15871, _u15872), tc_fun(tc_List_Olist(tc_prod(_u15871, _u15872)), tc_List_Olist(tc_prod(_u15871, _u15872))), _u15871), c_List_Olist_OCons(tc_prod(_u15871, _u15872))), hAPP(hAPP(c_COMBC(_u15871, _u15872, tc_prod(_u15871, _u15872)), c_Product__Type_OPair(_u15871, _u15872)), _u15874)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15871), tc_List_Olist(_u15872), tc_List_Olist(tc_prod(_u15871, _u15872))), c_List_Ozip(_u15871, _u15872)), _u15875))), _u15873)) )).
% 12.54/12.79 cnf(matrix-6854, plain, ( ~class_Orderings_Olinorder(_u15876) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15876), _u15877)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u15876, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15876, tc_HOL_Obool)), _u15877), hAPP(hAPP(c_Set_Oinsert(_u15876), _u15878), c_Orderings_Obot__class_Obot(tc_fun(_u15876, tc_HOL_Obool))))) = c_List_Oremove1(_u15876, _u15878, c_List_Olinorder__class_Osorted__list__of__set(_u15876, _u15877))) )).
% 12.54/12.79 cnf(matrix-6855, 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), _u15881), _u15882))) | hBOOL(hAPP(hAPP(_u15883, _u15881), _u15882)) | 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), skolem433(_u15883, _u15882, _u15881)), skolem434(_u15883, _u15882, _u15881)))) )).
% 12.54/12.79 cnf(matrix-6856, 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), _u15881), _u15882))) | hBOOL(hAPP(hAPP(_u15883, _u15881), _u15882)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem433(_u15883, _u15882, _u15881)), skolem434(_u15883, _u15882, _u15881))) | hBOOL(hAPP(hAPP(_u15883, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem433(_u15883, _u15882, _u15881)), c_Groups_Oone__class_Oone(tc_Int_Oint))), skolem434(_u15883, _u15882, _u15881))) )).
% 12.54/12.79 cnf(matrix-6857, 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), _u15881), _u15882))) | hBOOL(hAPP(hAPP(_u15883, _u15881), _u15882)) | ~hBOOL(hAPP(hAPP(_u15883, skolem433(_u15883, _u15882, _u15881)), skolem434(_u15883, _u15882, _u15881))) )).
% 12.54/12.79 cnf(matrix-6858, plain, ( ~class_Orderings_Olinorder(_u15884) | ( c_List_Olinorder__class_Osorted__list__of__set(_u15884, c_Orderings_Obot__class_Obot(tc_fun(_u15884, tc_HOL_Obool))) = c_List_Olist_ONil(_u15884)) )).
% 12.54/12.79 cnf(matrix-6859, plain, ( ( _u15890 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u15892, _u15894, _u15896), _u15890), _u15898) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15894), _u15892), c_List_Olist_ONil(_u15894)), _u15898)) )).
% 12.54/12.79 cnf(matrix-6860, plain, ( ( _u15891 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u15893, _u15895, _u15897), _u15891), _u15899) = c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(_u15895), _u15893), tc_prod(_u15895, _u15893), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15895), _u15893), c_List_Olist_ONil(_u15895)), _u15899), hAPP(c_Product__Type_Oprod_Oprod__case(_u15895, _u15893, tc_prod(tc_List_Olist(_u15895), _u15893)), hAPP(hAPP(c_COMBC(_u15895, tc_fun(_u15893, tc_prod(tc_List_Olist(_u15895), _u15893)), tc_fun(_u15893, tc_prod(tc_List_Olist(_u15895), _u15893))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(_u15895), _u15893), tc_prod(tc_List_Olist(_u15895), _u15893)), tc_fun(tc_fun(_u15893, tc_prod(tc_List_Olist(_u15895), _u15893)), tc_fun(_u15893, tc_prod(tc_List_Olist(_u15895), _u15893))), _u15895), c_COMBB(tc_prod(tc_List_Olist(_u15895), _u15893), tc_prod(tc_List_Olist(_u15895), _u15893), _u15893)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15895), tc_fun(_u15893, tc_prod(tc_List_Olist(_u15895), _u15893))), tc_fun(tc_prod(tc_List_Olist(_u15895), _u15893), tc_prod(tc_List_Olist(_u15895), _u15893)), _u15895), c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u15895), _u15893, tc_prod(tc_List_Olist(_u15895), _u15893))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15895), tc_List_Olist(_u15895)), tc_fun(tc_List_Olist(_u15895), tc_fun(_u15893, tc_prod(tc_List_Olist(_u15895), _u15893))), _u15895), hAPP(c_COMBB(tc_List_Olist(_u15895), tc_fun(_u15893, tc_prod(tc_List_Olist(_u15895), _u15893)), tc_List_Olist(_u15895)), c_Product__Type_OPair(tc_List_Olist(_u15895), _u15893))), c_List_Olist_OCons(_u15895))))), hAPP(c_Lazy__Sequence_Oanamorph(_u15893, _u15895, _u15897), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u15891), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))))), hAPP(_u15897, _u15899))) )).
% 12.54/12.79 cnf(matrix-6861, plain, ( ( c_List_Osublist(_u15900, hAPP(hAPP(c_List_Olist_OCons(_u15900), _u15901), _u15902), _u15903) = hAPP(hAPP(c_List_Oappend(_u15900), hAPP(hAPP(hAPP(c_If(tc_List_Olist(_u15900)), hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15903)), hAPP(hAPP(c_List_Olist_OCons(_u15900), _u15901), c_List_Olist_ONil(_u15900))), c_List_Olist_ONil(_u15900))), c_List_Osublist(_u15900, _u15902, 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)), _u15903))))) )).
% 12.54/12.79 cnf(matrix-6862, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15911), _u15913), _u15915) != hAPP(hAPP(c_List_Olist_OCons(_u15911), _u15917), _u15919)) | ( _u15913 = c_List_Olist_ONil(_u15911)) | ( _u15913 = hAPP(hAPP(c_List_Olist_OCons(_u15911), _u15917), skolem435(_u15919, _u15917, _u15915, _u15913, _u15911))) )).
% 12.54/12.79 cnf(matrix-6863, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15911), _u15913), _u15915) != hAPP(hAPP(c_List_Olist_OCons(_u15911), _u15917), _u15919)) | ( _u15913 = c_List_Olist_ONil(_u15911)) | ( hAPP(hAPP(c_List_Oappend(_u15911), skolem435(_u15919, _u15917, _u15915, _u15913, _u15911)), _u15915) = _u15919) )).
% 12.54/12.79 cnf(matrix-6864, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15911), _u15913), _u15915) != hAPP(hAPP(c_List_Olist_OCons(_u15911), _u15917), _u15919)) | ( _u15915 = hAPP(hAPP(c_List_Olist_OCons(_u15911), _u15917), _u15919)) | ( _u15913 = hAPP(hAPP(c_List_Olist_OCons(_u15911), _u15917), skolem435(_u15919, _u15917, _u15915, _u15913, _u15911))) )).
% 12.54/12.79 cnf(matrix-6865, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15911), _u15913), _u15915) != hAPP(hAPP(c_List_Olist_OCons(_u15911), _u15917), _u15919)) | ( _u15915 = hAPP(hAPP(c_List_Olist_OCons(_u15911), _u15917), _u15919)) | ( hAPP(hAPP(c_List_Oappend(_u15911), skolem435(_u15919, _u15917, _u15915, _u15913, _u15911)), _u15915) = _u15919) )).
% 12.54/12.79 cnf(matrix-6866, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15912), _u15914), _u15916) = hAPP(hAPP(c_List_Olist_OCons(_u15912), _u15918), _u15920)) | ( _u15914 != c_List_Olist_ONil(_u15912)) | ( _u15916 != hAPP(hAPP(c_List_Olist_OCons(_u15912), _u15918), _u15920)) )).
% 12.54/12.79 cnf(matrix-6867, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15912), _u15914), _u15916) = hAPP(hAPP(c_List_Olist_OCons(_u15912), _u15918), _u15920)) | ( _u15914 != hAPP(hAPP(c_List_Olist_OCons(_u15912), _u15918), _u15905)) | ( hAPP(hAPP(c_List_Oappend(_u15912), _u15905), _u15916) != _u15920) )).
% 12.54/12.79 cnf(matrix-6868, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15928), _u15930), _u15932) != hAPP(hAPP(c_List_Oappend(_u15928), _u15934), _u15936)) | ( _u15934 = c_List_Olist_ONil(_u15928)) | ( hAPP(hAPP(c_List_Olist_OCons(_u15928), _u15930), skolem436(_u15936, _u15934, _u15932, _u15930, _u15928)) = _u15934) )).
% 12.54/12.79 cnf(matrix-6869, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15928), _u15930), _u15932) != hAPP(hAPP(c_List_Oappend(_u15928), _u15934), _u15936)) | ( _u15934 = c_List_Olist_ONil(_u15928)) | ( _u15932 = hAPP(hAPP(c_List_Oappend(_u15928), skolem436(_u15936, _u15934, _u15932, _u15930, _u15928)), _u15936)) )).
% 12.54/12.79 cnf(matrix-6870, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15928), _u15930), _u15932) != hAPP(hAPP(c_List_Oappend(_u15928), _u15934), _u15936)) | ( hAPP(hAPP(c_List_Olist_OCons(_u15928), _u15930), _u15932) = _u15936) | ( hAPP(hAPP(c_List_Olist_OCons(_u15928), _u15930), skolem436(_u15936, _u15934, _u15932, _u15930, _u15928)) = _u15934) )).
% 12.54/12.79 cnf(matrix-6871, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15928), _u15930), _u15932) != hAPP(hAPP(c_List_Oappend(_u15928), _u15934), _u15936)) | ( hAPP(hAPP(c_List_Olist_OCons(_u15928), _u15930), _u15932) = _u15936) | ( _u15932 = hAPP(hAPP(c_List_Oappend(_u15928), skolem436(_u15936, _u15934, _u15932, _u15930, _u15928)), _u15936)) )).
% 12.54/12.79 cnf(matrix-6872, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15929), _u15931), _u15933) = hAPP(hAPP(c_List_Oappend(_u15929), _u15935), _u15937)) | ( _u15935 != c_List_Olist_ONil(_u15929)) | ( hAPP(hAPP(c_List_Olist_OCons(_u15929), _u15931), _u15933) != _u15937) )).
% 12.54/12.79 cnf(matrix-6873, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15929), _u15931), _u15933) = hAPP(hAPP(c_List_Oappend(_u15929), _u15935), _u15937)) | ( hAPP(hAPP(c_List_Olist_OCons(_u15929), _u15931), _u15922) != _u15935) | ( _u15933 != hAPP(hAPP(c_List_Oappend(_u15929), _u15922), _u15937)) )).
% 12.54/12.79 cnf(matrix-6874, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15943), _u15945), hAPP(hAPP(c_List_Olist_OCons(_u15943), _u15947), c_List_Olist_ONil(_u15943))) != hAPP(hAPP(c_List_Oappend(_u15943), _u15949), hAPP(hAPP(c_List_Olist_OCons(_u15943), _u15951), c_List_Olist_ONil(_u15943)))) | ( _u15945 = _u15949) )).
% 12.54/12.79 cnf(matrix-6875, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15943), _u15945), hAPP(hAPP(c_List_Olist_OCons(_u15943), _u15947), c_List_Olist_ONil(_u15943))) != hAPP(hAPP(c_List_Oappend(_u15943), _u15949), hAPP(hAPP(c_List_Olist_OCons(_u15943), _u15951), c_List_Olist_ONil(_u15943)))) | ( _u15947 = _u15951) )).
% 12.54/12.79 cnf(matrix-6876, plain, ( ( _u15946 != _u15950) | ( _u15948 != _u15952) | ( hAPP(hAPP(c_List_Oappend(_u15944), _u15946), hAPP(hAPP(c_List_Olist_OCons(_u15944), _u15948), c_List_Olist_ONil(_u15944))) = hAPP(hAPP(c_List_Oappend(_u15944), _u15950), hAPP(hAPP(c_List_Olist_OCons(_u15944), _u15952), c_List_Olist_ONil(_u15944)))) )).
% 12.54/12.79 cnf(matrix-6877, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15953), hAPP(hAPP(c_List_Olist_OCons(_u15953), _u15954), _u15955)), _u15956) = hAPP(hAPP(c_List_Olist_OCons(_u15953), _u15954), hAPP(hAPP(c_List_Oappend(_u15953), _u15955), _u15956))) )).
% 12.54/12.79 cnf(matrix-6878, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15957), _u15958), _u15959) != _u15960) | ( _u15961 != hAPP(hAPP(c_List_Oappend(_u15957), _u15959), _u15962)) | ( hAPP(hAPP(c_List_Olist_OCons(_u15957), _u15958), _u15961) = hAPP(hAPP(c_List_Oappend(_u15957), _u15960), _u15962)) )).
% 12.54/12.79 cnf(matrix-6879, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15967)), hAPP(hAPP(c_List_Oappend(_u15967), _u15969), _u15971)), c_List_Olists(_u15967, _u15973))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15967)), _u15969), c_List_Olists(_u15967, _u15973))) )).
% 12.54/12.79 cnf(matrix-6880, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15967)), hAPP(hAPP(c_List_Oappend(_u15967), _u15969), _u15971)), c_List_Olists(_u15967, _u15973))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15967)), _u15971), c_List_Olists(_u15967, _u15973))) )).
% 12.54/12.79 cnf(matrix-6881, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15968)), _u15970), c_List_Olists(_u15968, _u15974))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15968)), _u15972), c_List_Olists(_u15968, _u15974))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15968)), hAPP(hAPP(c_List_Oappend(_u15968), _u15970), _u15972)), c_List_Olists(_u15968, _u15974))) )).
% 12.54/12.79 cnf(matrix-6882, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15975), _u15976), _u15977) != _u15978) | ( _u15979 != hAPP(hAPP(c_List_Oappend(_u15975), _u15977), _u15980)) | ( hAPP(hAPP(c_List_Oappend(_u15975), _u15976), _u15979) = hAPP(hAPP(c_List_Oappend(_u15975), _u15978), _u15980)) )).
% 12.54/12.79 cnf(matrix-6883, plain, ( ( _u15987 = _u15991) | ( hAPP(hAPP(c_List_Oappend(_u15985), _u15987), _u15989) != hAPP(hAPP(c_List_Oappend(_u15985), _u15991), _u15989)) )).
% 12.54/12.79 cnf(matrix-6884, plain, ( ( _u15988 != _u15992) | ( hAPP(hAPP(c_List_Oappend(_u15986), _u15988), _u15990) = hAPP(hAPP(c_List_Oappend(_u15986), _u15992), _u15990)) )).
% 12.54/12.79 cnf(matrix-6885, plain, ( ( _u16001 = _u16003) | ( hAPP(hAPP(c_List_Oappend(_u15997), _u15999), _u16001) != hAPP(hAPP(c_List_Oappend(_u15997), _u15999), _u16003)) )).
% 12.54/12.79 cnf(matrix-6886, plain, ( ( _u16002 != _u16004) | ( hAPP(hAPP(c_List_Oappend(_u15998), _u16000), _u16002) = hAPP(hAPP(c_List_Oappend(_u15998), _u16000), _u16004)) )).
% 12.54/12.79 cnf(matrix-6887, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16016), _u16018), _u16020) != hAPP(hAPP(c_List_Oappend(_u16016), _u16022), _u16024)) | ( _u16018 = hAPP(hAPP(c_List_Oappend(_u16016), _u16022), skolem437(_u16024, _u16022, _u16020, _u16018, _u16016))) | ( hAPP(hAPP(c_List_Oappend(_u16016), _u16018), skolem438(_u16024, _u16022, _u16020, _u16018, _u16016)) = _u16022) )).
% 12.54/12.79 cnf(matrix-6888, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16016), _u16018), _u16020) != hAPP(hAPP(c_List_Oappend(_u16016), _u16022), _u16024)) | ( _u16018 = hAPP(hAPP(c_List_Oappend(_u16016), _u16022), skolem437(_u16024, _u16022, _u16020, _u16018, _u16016))) | ( _u16020 = hAPP(hAPP(c_List_Oappend(_u16016), skolem438(_u16024, _u16022, _u16020, _u16018, _u16016)), _u16024)) )).
% 12.54/12.79 cnf(matrix-6889, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16016), _u16018), _u16020) != hAPP(hAPP(c_List_Oappend(_u16016), _u16022), _u16024)) | ( hAPP(hAPP(c_List_Oappend(_u16016), skolem437(_u16024, _u16022, _u16020, _u16018, _u16016)), _u16020) = _u16024) | ( hAPP(hAPP(c_List_Oappend(_u16016), _u16018), skolem438(_u16024, _u16022, _u16020, _u16018, _u16016)) = _u16022) )).
% 12.54/12.79 cnf(matrix-6890, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16016), _u16018), _u16020) != hAPP(hAPP(c_List_Oappend(_u16016), _u16022), _u16024)) | ( hAPP(hAPP(c_List_Oappend(_u16016), skolem437(_u16024, _u16022, _u16020, _u16018, _u16016)), _u16020) = _u16024) | ( _u16020 = hAPP(hAPP(c_List_Oappend(_u16016), skolem438(_u16024, _u16022, _u16020, _u16018, _u16016)), _u16024)) )).
% 12.54/12.79 cnf(matrix-6891, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16017), _u16019), _u16021) = hAPP(hAPP(c_List_Oappend(_u16017), _u16023), _u16025)) | ( _u16019 != hAPP(hAPP(c_List_Oappend(_u16017), _u16023), _u16014)) | ( hAPP(hAPP(c_List_Oappend(_u16017), _u16014), _u16021) != _u16025) )).
% 12.54/12.79 cnf(matrix-6892, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16017), _u16019), _u16021) = hAPP(hAPP(c_List_Oappend(_u16017), _u16023), _u16025)) | ( hAPP(hAPP(c_List_Oappend(_u16017), _u16019), _u16015) != _u16023) | ( _u16021 != hAPP(hAPP(c_List_Oappend(_u16017), _u16015), _u16025)) )).
% 12.54/12.79 cnf(matrix-6893, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16026), hAPP(hAPP(c_List_Oappend(_u16026), _u16027), _u16028)), _u16029) = hAPP(hAPP(c_List_Oappend(_u16026), _u16027), hAPP(hAPP(c_List_Oappend(_u16026), _u16028), _u16029))) )).
% 12.54/12.79 cnf(matrix-6894, plain, ( ~class_Groups_Omonoid__add(_u16030) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16030), hAPP(hAPP(c_List_Oappend(_u16030), _u16031), _u16032)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16030), hAPP(c_List_Omonoid__add__class_Olistsum(_u16030), _u16031)), hAPP(c_List_Omonoid__add__class_Olistsum(_u16030), _u16032))) )).
% 12.54/12.79 cnf(matrix-6895, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16033)), hAPP(hAPP(c_List_Oappend(_u16033), _u16034), _u16035)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16033)), _u16034)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16033)), _u16035))) )).
% 12.54/12.79 cnf(matrix-6896, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16036)), _u16037) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16038)), _u16039)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16036)), _u16040) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16038)), _u16041)) | ( hAPP(hAPP(c_List_Ozip(_u16036, _u16038), hAPP(hAPP(c_List_Oappend(_u16036), _u16037), _u16040)), hAPP(hAPP(c_List_Oappend(_u16038), _u16039), _u16041)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16036, _u16038)), hAPP(hAPP(c_List_Ozip(_u16036, _u16038), _u16037), _u16039)), hAPP(hAPP(c_List_Ozip(_u16036, _u16038), _u16040), _u16041))) )).
% 12.54/12.79 cnf(matrix-6897, plain, ( ( hAPP(c_List_Oset(_u16042), hAPP(hAPP(c_List_Oappend(_u16042), _u16043), _u16044)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16042, tc_HOL_Obool)), hAPP(c_List_Oset(_u16042), _u16043)), hAPP(c_List_Oset(_u16042), _u16044))) )).
% 12.54/12.79 cnf(matrix-6898, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16045), c_List_Olist_ONil(_u16045)), _u16046) = _u16046) )).
% 12.54/12.79 cnf(matrix-6899, plain, ( ( c_List_Olist_ONil(_u16050) != hAPP(hAPP(c_List_Oappend(_u16050), _u16052), _u16054)) | ( _u16052 = c_List_Olist_ONil(_u16050)) )).
% 12.54/12.79 cnf(matrix-6900, plain, ( ( c_List_Olist_ONil(_u16050) != hAPP(hAPP(c_List_Oappend(_u16050), _u16052), _u16054)) | ( _u16054 = c_List_Olist_ONil(_u16050)) )).
% 12.54/12.79 cnf(matrix-6901, plain, ( ( _u16053 != c_List_Olist_ONil(_u16051)) | ( _u16055 != c_List_Olist_ONil(_u16051)) | ( c_List_Olist_ONil(_u16051) = hAPP(hAPP(c_List_Oappend(_u16051), _u16053), _u16055)) )).
% 12.54/12.79 cnf(matrix-6902, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16056), _u16057), c_List_Olist_ONil(_u16056)) = _u16057) )).
% 12.54/12.79 cnf(matrix-6903, plain, ( ( _u16065 = c_List_Olist_ONil(_u16063)) | ( _u16061 != hAPP(hAPP(c_List_Oappend(_u16063), _u16061), _u16065)) )).
% 12.54/12.79 cnf(matrix-6904, plain, ( ( _u16066 != c_List_Olist_ONil(_u16064)) | ( _u16062 = hAPP(hAPP(c_List_Oappend(_u16064), _u16062), _u16066)) )).
% 12.54/12.79 cnf(matrix-6905, plain, ( ( _u16074 = c_List_Olist_ONil(_u16072)) | ( _u16070 != hAPP(hAPP(c_List_Oappend(_u16072), _u16074), _u16070)) )).
% 12.54/12.79 cnf(matrix-6906, plain, ( ( _u16075 != c_List_Olist_ONil(_u16073)) | ( _u16071 = hAPP(hAPP(c_List_Oappend(_u16073), _u16075), _u16071)) )).
% 12.54/12.79 cnf(matrix-6907, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16079), _u16081), _u16083) != c_List_Olist_ONil(_u16079)) | ( _u16081 = c_List_Olist_ONil(_u16079)) )).
% 12.54/12.79 cnf(matrix-6908, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16079), _u16081), _u16083) != c_List_Olist_ONil(_u16079)) | ( _u16083 = c_List_Olist_ONil(_u16079)) )).
% 12.54/12.79 cnf(matrix-6909, plain, ( ( _u16082 != c_List_Olist_ONil(_u16080)) | ( _u16084 != c_List_Olist_ONil(_u16080)) | ( hAPP(hAPP(c_List_Oappend(_u16080), _u16082), _u16084) = c_List_Olist_ONil(_u16080)) )).
% 12.54/12.79 cnf(matrix-6910, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16088), _u16090), _u16092) != _u16090) | ( _u16092 = c_List_Olist_ONil(_u16088)) )).
% 12.54/12.79 cnf(matrix-6911, plain, ( ( _u16093 != c_List_Olist_ONil(_u16089)) | ( hAPP(hAPP(c_List_Oappend(_u16089), _u16091), _u16093) = _u16091) )).
% 12.54/12.79 cnf(matrix-6912, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16097), _u16099), _u16101) != _u16101) | ( _u16099 = c_List_Olist_ONil(_u16097)) )).
% 12.54/12.79 cnf(matrix-6913, plain, ( ( _u16100 != c_List_Olist_ONil(_u16098)) | ( hAPP(hAPP(c_List_Oappend(_u16098), _u16100), _u16102) = _u16102) )).
% 12.54/12.79 cnf(matrix-6914, plain, ( ( _u16103 != _u16104) | ( _u16103 = hAPP(hAPP(c_List_Oappend(_u16105), c_List_Olist_ONil(_u16105)), _u16104)) )).
% 12.54/12.79 cnf(matrix-6915, plain, ( ( _u16109 != c_List_Olist_ONil(_u16111)) | ( c_List_Obutlast(_u16111, hAPP(hAPP(c_List_Oappend(_u16111), _u16113), _u16109)) = c_List_Obutlast(_u16111, _u16113)) )).
% 12.54/12.79 cnf(matrix-6916, plain, ( ( _u16110 = c_List_Olist_ONil(_u16112)) | ( c_List_Obutlast(_u16112, hAPP(hAPP(c_List_Oappend(_u16112), _u16114), _u16110)) = hAPP(hAPP(c_List_Oappend(_u16112), _u16114), c_List_Obutlast(_u16112, _u16110))) )).
% 12.54/12.79 cnf(matrix-6917, plain, ( ( hAPP(hAPP(c_List_Onth(_u16115), hAPP(hAPP(c_List_Oappend(_u16115), _u16116), hAPP(hAPP(c_List_Olist_OCons(_u16115), _u16117), _u16118))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16115)), _u16116)) = _u16117) )).
% 12.54/12.79 cnf(matrix-6918, plain, ( ( hAPP(hAPP(c_List_Onth(_u16119), hAPP(hAPP(c_List_Oappend(_u16119), _u16120), _u16121)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16119)), _u16120)), _u16122)) = hAPP(hAPP(c_List_Onth(_u16119), _u16121), _u16122)) )).
% 12.54/12.79 cnf(matrix-6919, plain, ( ( hAPP(hAPP(c_List_Otake(_u16123), _u16124), hAPP(hAPP(c_List_Oappend(_u16123), _u16125), _u16126)) = hAPP(hAPP(c_List_Oappend(_u16123), hAPP(hAPP(c_List_Otake(_u16123), _u16124), _u16125)), hAPP(hAPP(c_List_Otake(_u16123), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16124), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16123)), _u16125))), _u16126))) )).
% 12.54/12.79 cnf(matrix-6920, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16127), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16128)), _u16129))) | ( hAPP(hAPP(c_List_Olist__update(_u16128, hAPP(hAPP(c_List_Oappend(_u16128), _u16129), _u16130)), _u16127), _u16131) = hAPP(hAPP(c_List_Oappend(_u16128), hAPP(hAPP(c_List_Olist__update(_u16128, _u16129), _u16127), _u16131)), _u16130)) )).
% 12.54/12.79 cnf(matrix-6921, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u16132, hAPP(hAPP(c_List_Oappend(_u16132), _u16133), hAPP(hAPP(c_List_Olist_OCons(_u16132), _u16134), _u16135))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16132)), _u16133)), _u16136) = hAPP(hAPP(c_List_Oappend(_u16132), _u16133), hAPP(hAPP(c_List_Olist_OCons(_u16132), _u16136), _u16135))) )).
% 12.54/12.79 cnf(matrix-6922, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16141), _u16143), hAPP(c_List_Oset(_u16141), _u16145))) | ( c_List_Oremove1(_u16141, _u16143, hAPP(hAPP(c_List_Oappend(_u16141), _u16145), _u16147)) = hAPP(hAPP(c_List_Oappend(_u16141), c_List_Oremove1(_u16141, _u16143, _u16145)), _u16147)) )).
% 12.54/12.79 cnf(matrix-6923, plain, ( hBOOL(hAPP(hAPP(c_member(_u16142), _u16144), hAPP(c_List_Oset(_u16142), _u16146))) | ( c_List_Oremove1(_u16142, _u16144, hAPP(hAPP(c_List_Oappend(_u16142), _u16146), _u16148)) = hAPP(hAPP(c_List_Oappend(_u16142), _u16146), c_List_Oremove1(_u16142, _u16144, _u16148))) )).
% 12.54/12.79 cnf(matrix-6924, plain, ( hBOOL(hAPP(hAPP(c_member(_u16149), _u16150), hAPP(c_List_Oset(_u16149), c_List_Obutlast(_u16149, hAPP(hAPP(c_List_Oappend(_u16149), _u16151), _u16152))))) | ~hBOOL(hAPP(hAPP(c_member(_u16149), _u16150), hAPP(c_List_Oset(_u16149), c_List_Obutlast(_u16149, _u16151)))) )).
% 12.54/12.79 cnf(matrix-6925, plain, ( hBOOL(hAPP(hAPP(c_member(_u16149), _u16150), hAPP(c_List_Oset(_u16149), c_List_Obutlast(_u16149, hAPP(hAPP(c_List_Oappend(_u16149), _u16151), _u16152))))) | ~hBOOL(hAPP(hAPP(c_member(_u16149), _u16150), hAPP(c_List_Oset(_u16149), c_List_Obutlast(_u16149, _u16152)))) )).
% 12.54/12.79 cnf(matrix-6926, plain, ( ( c_List_Obutlast(_u16153, hAPP(hAPP(c_List_Oappend(_u16153), _u16154), hAPP(hAPP(c_List_Olist_OCons(_u16153), _u16155), c_List_Olist_ONil(_u16153)))) = _u16154) )).
% 12.54/12.79 cnf(matrix-6927, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16156), tc_List_Olist(_u16156))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16156), tc_List_Olist(_u16156)), hAPP(hAPP(c_List_Oappend(_u16156), _u16157), _u16160)), hAPP(hAPP(c_List_Oappend(_u16156), _u16158), _u16161))), c_List_Olistrel1(_u16156, _u16159))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16156), tc_List_Olist(_u16156))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16156), tc_List_Olist(_u16156)), _u16157), _u16158)), c_List_Olistrel1(_u16156, _u16159))) | ( _u16160 != _u16161) )).
% 12.54/12.79 cnf(matrix-6928, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16156), tc_List_Olist(_u16156))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16156), tc_List_Olist(_u16156)), hAPP(hAPP(c_List_Oappend(_u16156), _u16157), _u16160)), hAPP(hAPP(c_List_Oappend(_u16156), _u16158), _u16161))), c_List_Olistrel1(_u16156, _u16159))) | ( _u16157 != _u16158) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16156), tc_List_Olist(_u16156))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16156), tc_List_Olist(_u16156)), _u16160), _u16161)), c_List_Olistrel1(_u16156, _u16159))) )).
% 12.54/12.79 cnf(matrix-6929, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16162), tc_List_Olist(_u16162))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16162), tc_List_Olist(_u16162)), _u16163), _u16164)), c_List_Olexord(_u16162, _u16165))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16162), tc_List_Olist(_u16162))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16162), tc_List_Olist(_u16162)), hAPP(hAPP(c_List_Oappend(_u16162), _u16166), _u16163)), hAPP(hAPP(c_List_Oappend(_u16162), _u16166), _u16164))), c_List_Olexord(_u16162, _u16165))) )).
% 12.54/12.79 cnf(matrix-6930, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16170), hAPP(hAPP(c_List_Oappend(_u16170), _u16172), _u16174))) | hBOOL(hAPP(c_List_Odistinct(_u16170), _u16172)) )).
% 12.54/12.79 cnf(matrix-6931, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16170), hAPP(hAPP(c_List_Oappend(_u16170), _u16172), _u16174))) | hBOOL(hAPP(c_List_Odistinct(_u16170), _u16174)) )).
% 12.54/12.79 cnf(matrix-6932, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16170), hAPP(hAPP(c_List_Oappend(_u16170), _u16172), _u16174))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16170, tc_HOL_Obool)), hAPP(c_List_Oset(_u16170), _u16172)), hAPP(c_List_Oset(_u16170), _u16174)) = c_Orderings_Obot__class_Obot(tc_fun(_u16170, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-6933, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16171), _u16173)) | ~hBOOL(hAPP(c_List_Odistinct(_u16171), _u16175)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16171, tc_HOL_Obool)), hAPP(c_List_Oset(_u16171), _u16173)), hAPP(c_List_Oset(_u16171), _u16175)) != c_Orderings_Obot__class_Obot(tc_fun(_u16171, tc_HOL_Obool))) | hBOOL(hAPP(c_List_Odistinct(_u16171), hAPP(hAPP(c_List_Oappend(_u16171), _u16173), _u16175))) )).
% 12.54/12.79 cnf(matrix-6934, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16180), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16182)), _u16184))) | ( hAPP(hAPP(c_List_Onth(_u16182), hAPP(hAPP(c_List_Oappend(_u16182), _u16184), _u16186)), _u16180) = hAPP(hAPP(c_List_Onth(_u16182), _u16184), _u16180)) )).
% 12.54/12.79 cnf(matrix-6935, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16181), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16183)), _u16185))) | ( hAPP(hAPP(c_List_Onth(_u16183), hAPP(hAPP(c_List_Oappend(_u16183), _u16185), _u16187)), _u16181) = hAPP(hAPP(c_List_Onth(_u16183), _u16187), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16181), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16183)), _u16185)))) )).
% 12.54/12.79 cnf(matrix-6936, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16193), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16195)), _u16197))) | ( hAPP(hAPP(c_List_Olist__update(_u16195, hAPP(hAPP(c_List_Oappend(_u16195), _u16197), _u16199)), _u16193), _u16201) = hAPP(hAPP(c_List_Oappend(_u16195), hAPP(hAPP(c_List_Olist__update(_u16195, _u16197), _u16193), _u16201)), _u16199)) )).
% 12.54/12.79 cnf(matrix-6937, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16194), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16196)), _u16198))) | ( hAPP(hAPP(c_List_Olist__update(_u16196, hAPP(hAPP(c_List_Oappend(_u16196), _u16198), _u16200)), _u16194), _u16202) = hAPP(hAPP(c_List_Oappend(_u16196), _u16198), hAPP(hAPP(c_List_Olist__update(_u16196, _u16200), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16194), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16196)), _u16198))), _u16202))) )).
% 12.54/12.79 cnf(matrix-6938, plain, ( ( c_List_Osublist(_u16203, hAPP(hAPP(c_List_Oappend(_u16203), _u16204), _u16205), _u16206) = hAPP(hAPP(c_List_Oappend(_u16203), c_List_Osublist(_u16203, _u16204, _u16206)), c_List_Osublist(_u16203, _u16205, 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(_u16203)), _u16204)))), _u16206))))) )).
% 12.54/12.79 cnf(matrix-6939, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16207, _u16207)), hAPP(hAPP(c_Product__Type_OPair(_u16207, _u16207), _u16208), _u16209)), _u16210)) | ( _u16211 != hAPP(hAPP(c_List_Oappend(_u16207), _u16212), hAPP(hAPP(c_List_Olist_OCons(_u16207), _u16208), _u16213))) | ( _u16214 != hAPP(hAPP(c_List_Oappend(_u16207), _u16212), hAPP(hAPP(c_List_Olist_OCons(_u16207), _u16209), _u16213))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16207), tc_List_Olist(_u16207))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16207), tc_List_Olist(_u16207)), _u16211), _u16214)), c_List_Olistrel1(_u16207, _u16210))) )).
% 12.54/12.79 cnf(matrix-6940, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16215, _u16215)), hAPP(hAPP(c_Product__Type_OPair(_u16215, _u16215), _u16216), _u16217)), _u16218)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16215), tc_List_Olist(_u16215))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16215), tc_List_Olist(_u16215)), hAPP(hAPP(c_List_Oappend(_u16215), _u16219), hAPP(hAPP(c_List_Olist_OCons(_u16215), _u16216), _u16220))), hAPP(hAPP(c_List_Oappend(_u16215), _u16219), hAPP(hAPP(c_List_Olist_OCons(_u16215), _u16217), _u16221)))), c_List_Olexord(_u16215, _u16218))) )).
% 12.54/12.79 cnf(matrix-6941, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16222), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16223)), _u16224))) | ( hAPP(hAPP(c_List_Otake(_u16223), hAPP(c_Nat_OSuc, _u16222)), _u16224) = hAPP(hAPP(c_List_Oappend(_u16223), hAPP(hAPP(c_List_Otake(_u16223), _u16222), _u16224)), hAPP(hAPP(c_List_Olist_OCons(_u16223), hAPP(hAPP(c_List_Onth(_u16223), _u16224), _u16222)), c_List_Olist_ONil(_u16223)))) )).
% 12.54/12.79 cnf(matrix-6942, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16231), tc_List_Olist(_u16231))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16231), tc_List_Olist(_u16231)), hAPP(hAPP(c_List_Oappend(_u16231), _u16233), hAPP(hAPP(c_List_Olist_OCons(_u16231), _u16235), c_List_Olist_ONil(_u16231)))), hAPP(hAPP(c_List_Oappend(_u16231), _u16237), hAPP(hAPP(c_List_Olist_OCons(_u16231), _u16239), c_List_Olist_ONil(_u16231))))), c_List_Olistrel1(_u16231, _u16241))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16231), tc_List_Olist(_u16231))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16231), tc_List_Olist(_u16231)), _u16233), _u16237)), c_List_Olistrel1(_u16231, _u16241))) | ( _u16233 = _u16237) )).
% 12.54/12.79 cnf(matrix-6943, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16231), tc_List_Olist(_u16231))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16231), tc_List_Olist(_u16231)), hAPP(hAPP(c_List_Oappend(_u16231), _u16233), hAPP(hAPP(c_List_Olist_OCons(_u16231), _u16235), c_List_Olist_ONil(_u16231)))), hAPP(hAPP(c_List_Oappend(_u16231), _u16237), hAPP(hAPP(c_List_Olist_OCons(_u16231), _u16239), c_List_Olist_ONil(_u16231))))), c_List_Olistrel1(_u16231, _u16241))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16231), tc_List_Olist(_u16231))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16231), tc_List_Olist(_u16231)), _u16233), _u16237)), c_List_Olistrel1(_u16231, _u16241))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16231, _u16231)), hAPP(hAPP(c_Product__Type_OPair(_u16231, _u16231), _u16235), _u16239)), _u16241)) )).
% 12.54/12.79 cnf(matrix-6944, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16231), tc_List_Olist(_u16231))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16231), tc_List_Olist(_u16231)), hAPP(hAPP(c_List_Oappend(_u16231), _u16233), hAPP(hAPP(c_List_Olist_OCons(_u16231), _u16235), c_List_Olist_ONil(_u16231)))), hAPP(hAPP(c_List_Oappend(_u16231), _u16237), hAPP(hAPP(c_List_Olist_OCons(_u16231), _u16239), c_List_Olist_ONil(_u16231))))), c_List_Olistrel1(_u16231, _u16241))) | ( _u16235 = _u16239) | ( _u16233 = _u16237) )).
% 12.54/12.79 cnf(matrix-6945, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16231), tc_List_Olist(_u16231))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16231), tc_List_Olist(_u16231)), hAPP(hAPP(c_List_Oappend(_u16231), _u16233), hAPP(hAPP(c_List_Olist_OCons(_u16231), _u16235), c_List_Olist_ONil(_u16231)))), hAPP(hAPP(c_List_Oappend(_u16231), _u16237), hAPP(hAPP(c_List_Olist_OCons(_u16231), _u16239), c_List_Olist_ONil(_u16231))))), c_List_Olistrel1(_u16231, _u16241))) | ( _u16235 = _u16239) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16231, _u16231)), hAPP(hAPP(c_Product__Type_OPair(_u16231, _u16231), _u16235), _u16239)), _u16241)) )).
% 12.54/12.79 cnf(matrix-6946, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16232), tc_List_Olist(_u16232))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16232), tc_List_Olist(_u16232)), hAPP(hAPP(c_List_Oappend(_u16232), _u16234), hAPP(hAPP(c_List_Olist_OCons(_u16232), _u16236), c_List_Olist_ONil(_u16232)))), hAPP(hAPP(c_List_Oappend(_u16232), _u16238), hAPP(hAPP(c_List_Olist_OCons(_u16232), _u16240), c_List_Olist_ONil(_u16232))))), c_List_Olistrel1(_u16232, _u16242))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16232), tc_List_Olist(_u16232))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16232), tc_List_Olist(_u16232)), _u16234), _u16238)), c_List_Olistrel1(_u16232, _u16242))) | ( _u16236 != _u16240) )).
% 12.54/12.79 cnf(matrix-6947, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16232), tc_List_Olist(_u16232))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16232), tc_List_Olist(_u16232)), hAPP(hAPP(c_List_Oappend(_u16232), _u16234), hAPP(hAPP(c_List_Olist_OCons(_u16232), _u16236), c_List_Olist_ONil(_u16232)))), hAPP(hAPP(c_List_Oappend(_u16232), _u16238), hAPP(hAPP(c_List_Olist_OCons(_u16232), _u16240), c_List_Olist_ONil(_u16232))))), c_List_Olistrel1(_u16232, _u16242))) | ( _u16234 != _u16238) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16232, _u16232)), hAPP(hAPP(c_Product__Type_OPair(_u16232, _u16232), _u16236), _u16240)), _u16242)) )).
% 12.54/12.79 cnf(matrix-6948, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16247), tc_List_Olist(_u16247))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16247), tc_List_Olist(_u16247)), _u16248), _u16249)), c_List_Olistrel1(_u16247, _u16250))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16247, _u16247)), hAPP(hAPP(c_Product__Type_OPair(_u16247, _u16247), skolem439(_u16250, _u16249, _u16248, _u16247)), skolem440(_u16250, _u16249, _u16248, _u16247))), _u16250)) )).
% 12.54/12.79 cnf(matrix-6949, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16247), tc_List_Olist(_u16247))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16247), tc_List_Olist(_u16247)), _u16248), _u16249)), c_List_Olistrel1(_u16247, _u16250))) | ( _u16248 = hAPP(hAPP(c_List_Oappend(_u16247), skolem441(_u16250, _u16249, _u16248, _u16247)), hAPP(hAPP(c_List_Olist_OCons(_u16247), skolem439(_u16250, _u16249, _u16248, _u16247)), skolem442(_u16250, _u16249, _u16248, _u16247)))) )).
% 12.54/12.79 cnf(matrix-6950, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16247), tc_List_Olist(_u16247))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16247), tc_List_Olist(_u16247)), _u16248), _u16249)), c_List_Olistrel1(_u16247, _u16250))) | ( _u16249 = hAPP(hAPP(c_List_Oappend(_u16247), skolem441(_u16250, _u16249, _u16248, _u16247)), hAPP(hAPP(c_List_Olist_OCons(_u16247), skolem440(_u16250, _u16249, _u16248, _u16247)), skolem442(_u16250, _u16249, _u16248, _u16247)))) )).
% 12.54/12.79 cnf(matrix-6951, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16252), tc_List_Olist(_u16252))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16252), tc_List_Olist(_u16252)), hAPP(hAPP(c_List_Oappend(_u16252), _u16253), _u16254)), hAPP(hAPP(c_List_Oappend(_u16252), _u16253), _u16255))), c_List_Olexord(_u16252, _u16256))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16252, _u16252)), hAPP(hAPP(c_Product__Type_OPair(_u16252, _u16252), skolem443(_u16256, _u16255, _u16254, _u16253, _u16252)), skolem443(_u16256, _u16255, _u16254, _u16253, _u16252))), _u16256)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16252), tc_List_Olist(_u16252))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16252), tc_List_Olist(_u16252)), _u16254), _u16255)), c_List_Olexord(_u16252, _u16256))) )).
% 12.54/12.79 cnf(matrix-6952, plain, ( ( hAPP(c_List_Orotate1(_u16257), _u16258) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u16257), _u16257, c_List_Olist_ONil(_u16257), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16257), tc_fun(tc_List_Olist(_u16257), tc_List_Olist(_u16257)), _u16257), hAPP(c_COMBC(tc_List_Olist(_u16257), tc_List_Olist(_u16257), tc_List_Olist(_u16257)), c_List_Oappend(_u16257))), hAPP(hAPP(c_COMBC(_u16257, tc_List_Olist(_u16257), tc_List_Olist(_u16257)), c_List_Olist_OCons(_u16257)), c_List_Olist_ONil(_u16257)))), _u16258)) )).
% 12.54/12.79 cnf(matrix-6953, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16259), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16260)), _u16261))) | ( hAPP(hAPP(c_List_Olist__update(_u16260, _u16261), _u16259), _u16262) = hAPP(hAPP(c_List_Oappend(_u16260), hAPP(hAPP(c_List_Otake(_u16260), _u16259), _u16261)), hAPP(hAPP(c_List_Olist_OCons(_u16260), _u16262), hAPP(hAPP(c_List_Odrop(_u16260), hAPP(c_Nat_OSuc, _u16259)), _u16261)))) )).
% 12.54/12.79 cnf(matrix-6954, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16263), hAPP(hAPP(c_List_Otake(_u16263), _u16264), _u16265)), hAPP(hAPP(c_List_Odrop(_u16263), _u16264), _u16265)) = _u16265) )).
% 12.54/12.79 cnf(matrix-6955, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16266), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u16266), _u16267), _u16268)) = _u16268) )).
% 12.54/12.79 cnf(matrix-6956, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16269), hAPP(c_Nat_OSuc, _u16270)), hAPP(hAPP(c_List_Olist_OCons(_u16269), _u16271), _u16272)) = hAPP(hAPP(c_List_Odrop(_u16269), _u16270), _u16272)) )).
% 12.54/12.79 cnf(matrix-6957, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16273), _u16274), _u16275) != hAPP(hAPP(c_List_Olist_OCons(_u16273), _u16276), _u16277)) | ( hAPP(hAPP(c_List_Onth(_u16273), _u16275), _u16274) = _u16276) )).
% 12.54/12.79 cnf(matrix-6958, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16278), _u16279)) | hBOOL(hAPP(c_List_Odistinct(_u16278), hAPP(hAPP(c_List_Odrop(_u16278), _u16280), _u16279))) )).
% 12.54/12.79 cnf(matrix-6959, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16283), hAPP(c_List_Orotate1(_u16283), _u16285))) | hBOOL(hAPP(c_List_Odistinct(_u16283), _u16285)) )).
% 12.54/12.79 cnf(matrix-6960, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16284), _u16286)) | hBOOL(hAPP(c_List_Odistinct(_u16284), hAPP(c_List_Orotate1(_u16284), _u16286))) )).
% 12.54/12.79 cnf(matrix-6961, plain, ( ( c_List_Obutlast(_u16287, hAPP(hAPP(c_List_Odrop(_u16287), _u16288), _u16289)) = hAPP(hAPP(c_List_Odrop(_u16287), _u16288), c_List_Obutlast(_u16287, _u16289))) )).
% 12.54/12.79 cnf(matrix-6962, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16290), _u16291), c_List_Obutlast(_u16290, _u16292)) = c_List_Obutlast(_u16290, hAPP(hAPP(c_List_Odrop(_u16290), _u16291), _u16292))) )).
% 12.54/12.79 cnf(matrix-6963, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16293), _u16294), hAPP(hAPP(c_List_Otake(_u16293), _u16295), _u16296)) = hAPP(hAPP(c_List_Otake(_u16293), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16295), _u16294)), hAPP(hAPP(c_List_Odrop(_u16293), _u16294), _u16296))) )).
% 12.54/12.79 cnf(matrix-6964, plain, ( ( hAPP(hAPP(c_List_Otake(_u16297), _u16298), hAPP(hAPP(c_List_Odrop(_u16297), _u16299), _u16300)) = hAPP(hAPP(c_List_Odrop(_u16297), _u16299), hAPP(hAPP(c_List_Otake(_u16297), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16298), _u16299)), _u16300))) )).
% 12.54/12.79 cnf(matrix-6965, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16301), _u16302), hAPP(hAPP(c_List_Odrop(_u16301), _u16303), _u16304)) = hAPP(hAPP(c_List_Odrop(_u16301), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16302), _u16303)), _u16304)) )).
% 12.54/12.79 cnf(matrix-6966, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16305), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16306) = _u16306) )).
% 12.54/12.79 cnf(matrix-6967, plain, ( ( hAPP(hAPP(c_List_Odrop(tc_prod(_u16307, _u16308)), _u16309), hAPP(hAPP(c_List_Ozip(_u16307, _u16308), _u16310), _u16311)) = hAPP(hAPP(c_List_Ozip(_u16307, _u16308), hAPP(hAPP(c_List_Odrop(_u16307), _u16309), _u16310)), hAPP(hAPP(c_List_Odrop(_u16308), _u16309), _u16311))) )).
% 12.54/12.79 cnf(matrix-6968, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16312)), hAPP(c_List_Orotate1(_u16312), _u16313)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16312)), _u16313)) )).
% 12.54/12.79 cnf(matrix-6969, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16314)), hAPP(hAPP(c_List_Odrop(_u16314), _u16315), _u16316)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16314)), _u16316)), _u16315)) )).
% 12.54/12.79 cnf(matrix-6970, plain, ( ( hAPP(c_List_Oset(_u16317), hAPP(c_List_Orotate1(_u16317), _u16318)) = hAPP(c_List_Oset(_u16317), _u16318)) )).
% 12.54/12.79 cnf(matrix-6971, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16319), _u16320), hAPP(c_List_Oset(_u16319), hAPP(hAPP(c_List_Odrop(_u16319), _u16321), _u16322)))) | hBOOL(hAPP(hAPP(c_member(_u16319), _u16320), hAPP(c_List_Oset(_u16319), _u16322))) )).
% 12.54/12.79 cnf(matrix-6972, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16323, tc_HOL_Obool)), hAPP(c_List_Oset(_u16323), hAPP(hAPP(c_List_Odrop(_u16323), _u16324), _u16325))), hAPP(c_List_Oset(_u16323), _u16325))) )).
% 12.54/12.79 cnf(matrix-6973, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16326), _u16327), c_List_Olist_ONil(_u16326)) = c_List_Olist_ONil(_u16326)) )).
% 12.54/12.79 cnf(matrix-6974, plain, ( ( hAPP(c_List_Orotate1(_u16330), _u16332) != c_List_Olist_ONil(_u16330)) | ( _u16332 = c_List_Olist_ONil(_u16330)) )).
% 12.54/12.79 cnf(matrix-6975, plain, ( ( _u16333 != c_List_Olist_ONil(_u16331)) | ( hAPP(c_List_Orotate1(_u16331), _u16333) = c_List_Olist_ONil(_u16331)) )).
% 12.54/12.79 cnf(matrix-6976, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16334), _u16335)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16336, tc_HOL_Obool)), hAPP(c_List_Oset(_u16336), hAPP(hAPP(c_List_Odrop(_u16336), _u16335), _u16337))), hAPP(c_List_Oset(_u16336), hAPP(hAPP(c_List_Odrop(_u16336), _u16334), _u16337)))) )).
% 12.54/12.79 cnf(matrix-6977, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16341), _u16343), _u16345) != c_List_Olist_ONil(_u16341)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16341)), _u16345)), _u16343)) )).
% 12.54/12.79 cnf(matrix-6978, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16342)), _u16346)), _u16344)) | ( hAPP(hAPP(c_List_Odrop(_u16342), _u16344), _u16346) = c_List_Olist_ONil(_u16342)) )).
% 12.54/12.79 cnf(matrix-6979, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16347)), _u16348)), _u16349)) | ( hAPP(hAPP(c_List_Odrop(_u16347), _u16349), _u16348) = c_List_Olist_ONil(_u16347)) )).
% 12.54/12.79 cnf(matrix-6980, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16350), _u16351), hAPP(hAPP(c_List_Oappend(_u16350), _u16352), _u16353)) = hAPP(hAPP(c_List_Oappend(_u16350), hAPP(hAPP(c_List_Odrop(_u16350), _u16351), _u16352)), hAPP(hAPP(c_List_Odrop(_u16350), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16351), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16350)), _u16352))), _u16353))) )).
% 12.54/12.79 cnf(matrix-6981, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16358), _u16360), _u16362) != _u16364) | ( _u16360 = hAPP(hAPP(c_List_Otake(_u16358), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16358)), _u16360)), _u16364)) )).
% 12.54/12.79 cnf(matrix-6982, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16358), _u16360), _u16362) != _u16364) | ( _u16362 = hAPP(hAPP(c_List_Odrop(_u16358), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16358)), _u16360)), _u16364)) )).
% 12.54/12.79 cnf(matrix-6983, plain, ( ( _u16361 != hAPP(hAPP(c_List_Otake(_u16359), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16359)), _u16361)), _u16365)) | ( _u16363 != hAPP(hAPP(c_List_Odrop(_u16359), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16359)), _u16361)), _u16365)) | ( hAPP(hAPP(c_List_Oappend(_u16359), _u16361), _u16363) = _u16365) )).
% 12.54/12.79 cnf(matrix-6984, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16366), _u16367), hAPP(hAPP(c_List_Olist_OCons(_u16366), _u16368), _u16369)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u16366), hAPP(hAPP(c_List_Olist_OCons(_u16366), _u16368), _u16369), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u16366), tc_List_Olist(_u16366)), c_List_Odrop(_u16366)), _u16369), _u16367)) )).
% 12.54/12.79 cnf(matrix-6985, plain, ( ( _u16374 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16376), _u16374), hAPP(hAPP(c_List_Olist_OCons(_u16376), _u16378), _u16380)) = hAPP(hAPP(c_List_Olist_OCons(_u16376), _u16378), _u16380)) )).
% 12.54/12.79 cnf(matrix-6986, plain, ( ( _u16375 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16377), _u16375), hAPP(hAPP(c_List_Olist_OCons(_u16377), _u16379), _u16381)) = hAPP(hAPP(c_List_Odrop(_u16377), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16375), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16381)) )).
% 12.54/12.79 cnf(matrix-6987, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16382), _u16383)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16384)), _u16385))) | ( hAPP(hAPP(c_List_Onth(_u16384), hAPP(hAPP(c_List_Odrop(_u16384), _u16382), _u16385)), _u16383) = hAPP(hAPP(c_List_Onth(_u16384), _u16385), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16382), _u16383))) )).
% 12.54/12.79 cnf(matrix-6988, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16391), _u16393), _u16395) != hAPP(hAPP(c_List_Oappend(_u16391), _u16397), _u16399)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16391)), _u16393)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16391)), _u16397))) | ( _u16393 = hAPP(hAPP(c_List_Otake(_u16391), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16391)), _u16393)), _u16397)) )).
% 12.54/12.79 cnf(matrix-6989, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16391), _u16393), _u16395) != hAPP(hAPP(c_List_Oappend(_u16391), _u16397), _u16399)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16391)), _u16393)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16391)), _u16397))) | ( _u16395 = hAPP(hAPP(c_List_Oappend(_u16391), hAPP(hAPP(c_List_Odrop(_u16391), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16391)), _u16393)), _u16397)), _u16399)) )).
% 12.54/12.79 cnf(matrix-6990, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16391), _u16393), _u16395) != hAPP(hAPP(c_List_Oappend(_u16391), _u16397), _u16399)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16391)), _u16393)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16391)), _u16397))) | ( hAPP(hAPP(c_List_Otake(_u16391), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16391)), _u16397)), _u16393) = _u16397) )).
% 12.54/12.79 cnf(matrix-6991, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16391), _u16393), _u16395) != hAPP(hAPP(c_List_Oappend(_u16391), _u16397), _u16399)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16391)), _u16393)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16391)), _u16397))) | ( hAPP(hAPP(c_List_Oappend(_u16391), hAPP(hAPP(c_List_Odrop(_u16391), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16391)), _u16397)), _u16393)), _u16395) = _u16399) )).
% 12.54/12.79 cnf(matrix-6992, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16392), _u16394), _u16396) = hAPP(hAPP(c_List_Oappend(_u16392), _u16398), _u16400)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16392)), _u16394)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16392)), _u16398))) | ( hAPP(hAPP(c_List_Otake(_u16392), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16392)), _u16398)), _u16394) != _u16398) | ( hAPP(hAPP(c_List_Oappend(_u16392), hAPP(hAPP(c_List_Odrop(_u16392), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16392)), _u16398)), _u16394)), _u16396) != _u16400) )).
% 12.54/12.79 cnf(matrix-6993, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16392), _u16394), _u16396) = hAPP(hAPP(c_List_Oappend(_u16392), _u16398), _u16400)) | ( _u16394 != hAPP(hAPP(c_List_Otake(_u16392), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16392)), _u16394)), _u16398)) | ( _u16396 != hAPP(hAPP(c_List_Oappend(_u16392), hAPP(hAPP(c_List_Odrop(_u16392), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16392)), _u16394)), _u16398)), _u16400)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16392)), _u16394)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16392)), _u16398))) )).
% 12.54/12.79 cnf(matrix-6994, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16392), _u16394), _u16396) = hAPP(hAPP(c_List_Oappend(_u16392), _u16398), _u16400)) | ( _u16394 != hAPP(hAPP(c_List_Otake(_u16392), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16392)), _u16394)), _u16398)) | ( _u16396 != hAPP(hAPP(c_List_Oappend(_u16392), hAPP(hAPP(c_List_Odrop(_u16392), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16392)), _u16394)), _u16398)), _u16400)) | ( hAPP(hAPP(c_List_Otake(_u16392), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16392)), _u16398)), _u16394) != _u16398) | ( hAPP(hAPP(c_List_Oappend(_u16392), hAPP(hAPP(c_List_Odrop(_u16392), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16392)), _u16398)), _u16394)), _u16396) != _u16400) )).
% 12.54/12.79 cnf(matrix-6995, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16401), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16402)), _u16403))) | ( hAPP(hAPP(c_List_Olist_OCons(_u16402), hAPP(hAPP(c_List_Onth(_u16402), _u16403), _u16401)), hAPP(hAPP(c_List_Odrop(_u16402), hAPP(c_Nat_OSuc, _u16401)), _u16403)) = hAPP(hAPP(c_List_Odrop(_u16402), _u16401), _u16403)) )).
% 12.54/12.79 cnf(matrix-6996, plain, ( ( hAPP(c_List_Orotate1(_u16404), c_List_Olist_ONil(_u16404)) = c_List_Olist_ONil(_u16404)) )).
% 12.54/12.79 cnf(matrix-6997, plain, ( ( hAPP(c_List_Orotate1(_u16405), hAPP(hAPP(c_List_Olist_OCons(_u16405), _u16406), _u16407)) = hAPP(hAPP(c_List_Oappend(_u16405), _u16407), hAPP(hAPP(c_List_Olist_OCons(_u16405), _u16406), c_List_Olist_ONil(_u16405)))) )).
% 12.54/12.79 cnf(matrix-6998, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16412) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16414), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16412)), hAPP(hAPP(c_List_Olist_OCons(_u16414), _u16416), _u16418)) = hAPP(hAPP(c_List_Olist_OCons(_u16414), _u16416), _u16418)) )).
% 12.54/12.79 cnf(matrix-6999, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16413) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16415), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16413)), hAPP(hAPP(c_List_Olist_OCons(_u16415), _u16417), _u16419)) = hAPP(hAPP(c_List_Odrop(_u16415), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16413)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16419)) )).
% 12.54/12.79 cnf(matrix-7000, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16420), _u16421)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16422)), _u16423))) | ( hAPP(hAPP(c_List_Otake(_u16422), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16420), _u16421)), _u16423) = hAPP(hAPP(c_List_Oappend(_u16422), hAPP(hAPP(c_List_Otake(_u16422), _u16420), _u16423)), hAPP(hAPP(c_List_Otake(_u16422), _u16421), hAPP(hAPP(c_List_Odrop(_u16422), _u16420), _u16423)))) )).
% 12.54/12.79 cnf(matrix-7001, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16424)), _u16425)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate1(_u16424), _u16425) = _u16425) )).
% 12.54/12.79 cnf(matrix-7002, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16426, _u16427), hAPP(hAPP(c_List_Oappend(_u16426), _u16428), _u16429)), _u16430) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16426, _u16427)), hAPP(hAPP(c_List_Ozip(_u16426, _u16427), _u16428), hAPP(hAPP(c_List_Otake(_u16427), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16426)), _u16428)), _u16430))), hAPP(hAPP(c_List_Ozip(_u16426, _u16427), _u16429), hAPP(hAPP(c_List_Odrop(_u16427), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16426)), _u16428)), _u16430)))) )).
% 12.54/12.79 cnf(matrix-7003, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16431, _u16432), _u16433), hAPP(hAPP(c_List_Oappend(_u16432), _u16434), _u16435)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16431, _u16432)), hAPP(hAPP(c_List_Ozip(_u16431, _u16432), hAPP(hAPP(c_List_Otake(_u16431), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16432)), _u16434)), _u16433)), _u16434)), hAPP(hAPP(c_List_Ozip(_u16431, _u16432), hAPP(hAPP(c_List_Odrop(_u16431), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16432)), _u16434)), _u16433)), _u16435))) )).
% 12.54/12.79 cnf(matrix-7004, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16436), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16437)), _u16438))) | ( _u16438 = hAPP(hAPP(c_List_Oappend(_u16437), hAPP(hAPP(c_List_Otake(_u16437), _u16436), _u16438)), hAPP(hAPP(c_List_Olist_OCons(_u16437), hAPP(hAPP(c_List_Onth(_u16437), _u16438), _u16436)), hAPP(hAPP(c_List_Odrop(_u16437), hAPP(c_Nat_OSuc, _u16436)), _u16438)))) )).
% 12.54/12.79 cnf(matrix-7005, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16439), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16440)), _u16441))) | ( hAPP(hAPP(c_List_Oappend(_u16440), hAPP(hAPP(c_List_Otake(_u16440), _u16439), _u16441)), hAPP(hAPP(c_List_Olist_OCons(_u16440), hAPP(c_List_Ohd(_u16440), hAPP(hAPP(c_List_Odrop(_u16440), _u16439), _u16441))), c_List_Olist_ONil(_u16440))) = hAPP(hAPP(c_List_Otake(_u16440), hAPP(c_Nat_OSuc, _u16439)), _u16441)) )).
% 12.54/12.79 cnf(matrix-7006, plain, ( ( _u16442 = c_List_Olist_ONil(_u16443)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16444), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16443)), _u16442))) | ( hAPP(c_List_Ohd(_u16443), hAPP(hAPP(c_List_Odrop(_u16443), _u16444), _u16442)) = hAPP(hAPP(c_List_Onth(_u16443), _u16442), _u16444)) )).
% 12.54/12.79 cnf(matrix-7007, plain, ( ( hAPP(c_List_Ohd(_u16445), hAPP(hAPP(c_List_Olist_OCons(_u16445), _u16446), _u16447)) = _u16446) )).
% 12.54/12.79 cnf(matrix-7008, plain, ( ( _u16448 = c_List_Olist_ONil(_u16449)) | ( hAPP(c_List_Ohd(_u16449), hAPP(hAPP(c_List_Oappend(_u16449), _u16448), _u16450)) = hAPP(c_List_Ohd(_u16449), _u16448)) )).
% 12.54/12.79 cnf(matrix-7009, plain, ( ( _u16454 != c_List_Olist_ONil(_u16456)) | ( hAPP(c_List_Ohd(_u16456), hAPP(hAPP(c_List_Oappend(_u16456), _u16454), _u16458)) = hAPP(c_List_Ohd(_u16456), _u16458)) )).
% 12.54/12.79 cnf(matrix-7010, plain, ( ( _u16455 = c_List_Olist_ONil(_u16457)) | ( hAPP(c_List_Ohd(_u16457), hAPP(hAPP(c_List_Oappend(_u16457), _u16455), _u16459)) = hAPP(c_List_Ohd(_u16457), _u16455)) )).
% 12.54/12.79 cnf(matrix-7011, plain, ( ( _u16460 = c_List_Olist_ONil(_u16461)) | hBOOL(hAPP(hAPP(c_member(_u16461), hAPP(c_List_Ohd(_u16461), _u16460)), hAPP(c_List_Oset(_u16461), _u16460))) )).
% 12.54/12.79 cnf(matrix-7012, plain, ( ( _u16462 = c_List_Olist_ONil(_u16463)) | ( hAPP(c_List_Ohd(_u16463), _u16462) = hAPP(hAPP(c_List_Onth(_u16463), _u16462), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.79 cnf(matrix-7013, plain, ( ( _u16464 = c_List_Olist_ONil(_u16465)) | ( hAPP(c_List_Orotate1(_u16465), _u16464) = hAPP(hAPP(c_List_Oappend(_u16465), hAPP(c_List_Otl(_u16465), _u16464)), hAPP(hAPP(c_List_Olist_OCons(_u16465), hAPP(c_List_Ohd(_u16465), _u16464)), c_List_Olist_ONil(_u16465)))) )).
% 12.54/12.79 cnf(matrix-7014, plain, ( ( _u16466 = c_List_Olist_ONil(_u16467)) | ( hAPP(c_List_Ohd(_u16467), hAPP(c_List_Orotate(_u16467, _u16468), _u16466)) = hAPP(hAPP(c_List_Onth(_u16467), _u16466), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16468, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16467)), _u16466)))) )).
% 12.54/12.79 cnf(matrix-7015, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16469), _u16470), hAPP(c_List_Otl(_u16469), _u16471)) = hAPP(c_List_Otl(_u16469), hAPP(hAPP(c_List_Odrop(_u16469), _u16470), _u16471))) )).
% 12.54/12.79 cnf(matrix-7016, plain, ( ( hAPP(c_List_Otl(_u16472), hAPP(hAPP(c_List_Odrop(_u16472), _u16473), _u16474)) = hAPP(hAPP(c_List_Odrop(_u16472), _u16473), hAPP(c_List_Otl(_u16472), _u16474))) )).
% 12.54/12.79 cnf(matrix-7017, plain, ( ( hAPP(c_List_Otl(_u16475), hAPP(hAPP(c_List_Olist_OCons(_u16475), _u16476), _u16477)) = _u16477) )).
% 12.54/12.79 cnf(matrix-7018, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16478), _u16479)) | hBOOL(hAPP(c_List_Odistinct(_u16478), hAPP(c_List_Otl(_u16478), _u16479))) )).
% 12.54/12.79 cnf(matrix-7019, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16483), hAPP(c_List_Orotate(_u16483, _u16485), _u16487))) | hBOOL(hAPP(c_List_Odistinct(_u16483), _u16487)) )).
% 12.54/12.79 cnf(matrix-7020, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16484), _u16488)) | hBOOL(hAPP(c_List_Odistinct(_u16484), hAPP(c_List_Orotate(_u16484, _u16486), _u16488))) )).
% 12.54/12.79 cnf(matrix-7021, plain, ( ( hAPP(c_List_Orotate(_u16489, _u16490), hAPP(c_List_Orotate(_u16489, _u16491), _u16492)) = hAPP(c_List_Orotate(_u16489, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16490), _u16491)), _u16492)) )).
% 12.54/12.79 cnf(matrix-7022, plain, ( ( c_List_Orotate(_u16493, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(_u16493))) )).
% 12.54/12.79 cnf(matrix-7023, plain, ( ( c_List_Orotate(_u16494, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16495), _u16496)) = hAPP(c_Fun_Ocomp(tc_List_Olist(_u16494), tc_List_Olist(_u16494), tc_List_Olist(_u16494), c_List_Orotate(_u16494, _u16495)), c_List_Orotate(_u16494, _u16496))) )).
% 12.54/12.79 cnf(matrix-7024, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16497)), hAPP(c_List_Orotate(_u16497, _u16498), _u16499)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16497)), _u16499)) )).
% 12.54/12.79 cnf(matrix-7025, plain, ( ( hAPP(c_List_Oset(_u16500), hAPP(c_List_Orotate(_u16500, _u16501), _u16502)) = hAPP(c_List_Oset(_u16500), _u16502)) )).
% 12.54/12.79 cnf(matrix-7026, plain, ( ( hAPP(c_List_Otl(_u16503), c_List_Olist_ONil(_u16503)) = c_List_Olist_ONil(_u16503)) )).
% 12.54/12.79 cnf(matrix-7027, plain, ( ( hAPP(c_List_Orotate(_u16507, _u16509), _u16511) != c_List_Olist_ONil(_u16507)) | ( _u16511 = c_List_Olist_ONil(_u16507)) )).
% 12.54/12.79 cnf(matrix-7028, plain, ( ( _u16512 != c_List_Olist_ONil(_u16508)) | ( hAPP(c_List_Orotate(_u16508, _u16510), _u16512) = c_List_Olist_ONil(_u16508)) )).
% 12.54/12.79 cnf(matrix-7029, plain, ( ( hAPP(c_List_Orotate1(_u16513), hAPP(c_List_Orotate(_u16513, _u16514), _u16515)) = hAPP(c_List_Orotate(_u16513, _u16514), hAPP(c_List_Orotate1(_u16513), _u16515))) )).
% 12.54/12.79 cnf(matrix-7030, plain, ( ( c_List_Orotate(_u16516, _u16517) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(_u16516), tc_List_Olist(_u16516)), _u16517), c_List_Orotate1(_u16516))) )).
% 12.54/12.79 cnf(matrix-7031, plain, ( ( _u16518 = c_List_Olist_ONil(_u16519)) | ( hAPP(c_List_Otl(_u16519), hAPP(hAPP(c_List_Oappend(_u16519), _u16518), _u16520)) = hAPP(hAPP(c_List_Oappend(_u16519), hAPP(c_List_Otl(_u16519), _u16518)), _u16520)) )).
% 12.54/12.79 cnf(matrix-7032, plain, ( ( hAPP(hAPP(c_List_Otake(_u16521), _u16522), hAPP(c_List_Otl(_u16521), _u16523)) = hAPP(c_List_Otl(_u16521), hAPP(hAPP(c_List_Otake(_u16521), hAPP(c_Nat_OSuc, _u16522)), _u16523))) )).
% 12.54/12.79 cnf(matrix-7033, plain, ( ( hAPP(c_List_Orotate(_u16524, _u16525), _u16526) = hAPP(c_List_Orotate(_u16524, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16525, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16524)), _u16526))), _u16526)) )).
% 12.54/12.79 cnf(matrix-7034, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16527), hAPP(c_Nat_OSuc, _u16528)), _u16529) = hAPP(hAPP(c_List_Odrop(_u16527), _u16528), hAPP(c_List_Otl(_u16527), _u16529))) )).
% 12.54/12.79 cnf(matrix-7035, plain, ( ( hAPP(c_List_Orotate(_u16530, hAPP(c_Nat_OSuc, _u16531)), _u16532) = hAPP(c_List_Orotate1(_u16530), hAPP(c_List_Orotate(_u16530, _u16531), _u16532))) )).
% 12.54/12.79 cnf(matrix-7036, plain, ( ( hAPP(c_List_Otl(_u16533), hAPP(hAPP(c_List_Oappend(_u16533), _u16534), _u16535)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u16533), _u16533, hAPP(c_List_Otl(_u16533), _u16535), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u16533), tc_List_Olist(_u16533)), _u16533), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16533), tc_List_Olist(_u16533), tc_List_Olist(_u16533)), c_List_Oappend(_u16533)), _u16535))), _u16534)) )).
% 12.54/12.79 cnf(matrix-7037, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16536, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16537)), _u16538)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Orotate(_u16537, _u16536), _u16538) = _u16538) )).
% 12.54/12.79 cnf(matrix-7038, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16539)), _u16540)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate(_u16539, _u16541), _u16540) = _u16540) )).
% 12.54/12.79 cnf(matrix-7039, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16542)), hAPP(c_List_Otl(_u16542), _u16543)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16542)), _u16543)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.54/12.79 cnf(matrix-7040, plain, ( ( hAPP(c_List_Otl(_u16544), hAPP(hAPP(c_List_Otake(_u16544), _u16545), _u16546)) = hAPP(hAPP(c_List_Otake(_u16544), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16545), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_List_Otl(_u16544), _u16546))) )).
% 12.54/12.79 cnf(matrix-7041, plain, ( ( _u16547 = c_List_Olist_ONil(_u16548)) | ( hAPP(hAPP(c_List_Otake(_u16548), hAPP(c_Nat_OSuc, _u16549)), _u16547) = hAPP(hAPP(c_List_Olist_OCons(_u16548), hAPP(c_List_Ohd(_u16548), _u16547)), hAPP(hAPP(c_List_Otake(_u16548), _u16549), hAPP(c_List_Otl(_u16548), _u16547)))) )).
% 12.54/12.79 cnf(matrix-7042, plain, ( ( hAPP(c_List_Orotate(_u16550, _u16551), _u16552) = hAPP(hAPP(c_List_Oappend(_u16550), hAPP(hAPP(c_List_Odrop(_u16550), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16551, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16550)), _u16552))), _u16552)), hAPP(hAPP(c_List_Otake(_u16550), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16551, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16550)), _u16552))), _u16552))) )).
% 12.54/12.79 cnf(matrix-7043, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u16553) | ( _u16554 = c_List_Olist_ONil(_u16553)) | ( hAPP(c_Finite__Set_Ofold1(_u16553, c_Groups_Otimes__class_Otimes(_u16553)), hAPP(c_List_Oset(_u16553), _u16554)) = hAPP(c_List_Ofoldl(_u16553, _u16553, c_Groups_Otimes__class_Otimes(_u16553), hAPP(c_List_Ohd(_u16553), _u16554)), hAPP(c_List_Otl(_u16553), _u16554))) )).
% 12.54/12.79 cnf(matrix-7044, plain, ( ~class_Orderings_Olinorder(_u16555) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16555), _u16556)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u16555, hAPP(hAPP(c_Set_Oinsert(_u16555), _u16557), _u16556)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16555, _u16555, c_COMBI(_u16555)), _u16557), c_List_Olinorder__class_Osorted__list__of__set(_u16555, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16555, tc_HOL_Obool)), _u16556), hAPP(hAPP(c_Set_Oinsert(_u16555), _u16557), c_Orderings_Obot__class_Obot(tc_fun(_u16555, tc_HOL_Obool))))))) )).
% 12.54/12.79 cnf(matrix-7045, plain, ( ( hAPP(c_List_Ofoldl(_u16558, _u16559, _u16560, _u16561), c_List_Olist_ONil(_u16559)) = _u16561) )).
% 12.54/12.79 cnf(matrix-7046, plain, ( ~class_Orderings_Olinorder(_u16562) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16563, _u16562, _u16564), _u16565), _u16566) != c_List_Olist_ONil(_u16563)) )).
% 12.54/12.79 cnf(matrix-7047, plain, ( ~class_Orderings_Olinorder(_u16567) | ( c_List_Oremove1(_u16567, _u16568, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16567, _u16567, c_COMBI(_u16567)), _u16568), _u16569)) = _u16569) )).
% 12.54/12.79 cnf(matrix-7048, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16570), _u16571)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16570), hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16571), _u16572))) )).
% 12.54/12.79 cnf(matrix-7049, plain, ( ~class_Groups_Omonoid__add(_u16573) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16573), _u16574), hAPP(c_List_Ofoldl(_u16573, _u16573, c_Groups_Oplus__class_Oplus(_u16573), c_Groups_Ozero__class_Ozero(_u16573)), _u16575)) = hAPP(c_List_Ofoldl(_u16573, _u16573, c_Groups_Oplus__class_Oplus(_u16573), _u16574), _u16575)) )).
% 12.54/12.79 cnf(matrix-7050, plain, ( ~class_Orderings_Olinorder(_u16576) | ( hAPP(_u16577, _u16578) = hAPP(_u16577, _u16579)) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16580, _u16576, _u16577), _u16579), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16580, _u16576, _u16577), _u16578), _u16581)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16580, _u16576, _u16577), _u16578), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16580, _u16576, _u16577), _u16579), _u16581))) )).
% 12.54/12.79 cnf(matrix-7051, plain, ( ~class_Groups_Osemigroup__add(_u16582) | ( hAPP(c_List_Ofoldl(_u16582, _u16582, c_Groups_Oplus__class_Oplus(_u16582), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16582), _u16583), _u16584)), _u16585) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16582), _u16583), hAPP(c_List_Ofoldl(_u16582, _u16582, c_Groups_Oplus__class_Oplus(_u16582), _u16584), _u16585))) )).
% 12.54/12.79 cnf(matrix-7052, plain, ( ~class_Orderings_Olinorder(_u16586) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16586, _u16586, c_COMBI(_u16586)), _u16587), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16586, _u16586, c_COMBI(_u16586)), _u16588), _u16589)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16586, _u16586, c_COMBI(_u16586)), _u16588), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16586, _u16586, c_COMBI(_u16586)), _u16587), _u16589))) )).
% 12.54/12.79 cnf(matrix-7053, plain, ( ~class_Orderings_Olinorder(_u16590) | c_Finite__Set_Ofun__left__comm(_u16590, tc_List_Olist(_u16590), c_List_Olinorder__class_Oinsort__key(_u16590, _u16590, c_COMBI(_u16590))) )).
% 12.54/12.79 cnf(matrix-7054, plain, ( ~class_Orderings_Olinorder(_u16591) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16592)), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16592, _u16591, _u16593), _u16594), _u16595)) = hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16592)), _u16595))) )).
% 12.54/12.79 cnf(matrix-7055, plain, ( ~class_Orderings_Olinorder(_u16596) | ( hAPP(c_List_Oset(_u16597), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16597, _u16596, _u16598), _u16599), _u16600)) = hAPP(hAPP(c_Set_Oinsert(_u16597), _u16599), hAPP(c_List_Oset(_u16597), _u16600))) )).
% 12.54/12.79 cnf(matrix-7056, plain, ( ( hAPP(c_List_Ofoldl(_u16601, _u16602, _u16603, _u16604), hAPP(hAPP(c_List_Olist_OCons(_u16602), _u16605), _u16606)) = hAPP(c_List_Ofoldl(_u16601, _u16602, _u16603, hAPP(hAPP(_u16603, _u16604), _u16605)), _u16606)) )).
% 12.54/12.79 cnf(matrix-7057, plain, ( ~class_Orderings_Olinorder(_u16607) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16607), hAPP(_u16608, _u16609)), hAPP(_u16608, _u16610))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16611, _u16607, _u16608), _u16609), hAPP(hAPP(c_List_Olist_OCons(_u16611), _u16610), _u16612)) = hAPP(hAPP(c_List_Olist_OCons(_u16611), _u16609), hAPP(hAPP(c_List_Olist_OCons(_u16611), _u16610), _u16612))) )).
% 12.54/12.79 cnf(matrix-7058, plain, ( ~class_Orderings_Olinorder(_u16607) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16607), hAPP(_u16608, _u16609)), hAPP(_u16608, _u16610))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16611, _u16607, _u16608), _u16609), hAPP(hAPP(c_List_Olist_OCons(_u16611), _u16610), _u16612)) = hAPP(hAPP(c_List_Olist_OCons(_u16611), _u16610), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16611, _u16607, _u16608), _u16609), _u16612))) )).
% 12.54/12.79 cnf(matrix-7059, plain, ( ~class_Orderings_Olinorder(_u16613) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16614, _u16613, _u16615), _u16616), c_List_Olist_ONil(_u16614)) = hAPP(hAPP(c_List_Olist_OCons(_u16614), _u16616), c_List_Olist_ONil(_u16614))) )).
% 12.54/12.79 cnf(matrix-7060, plain, ( ( hAPP(c_List_Ofoldl(_u16617, _u16618, _u16619, _u16620), hAPP(hAPP(c_List_Oappend(_u16618), _u16621), _u16622)) = hAPP(c_List_Ofoldl(_u16617, _u16618, _u16619, hAPP(c_List_Ofoldl(_u16617, _u16618, _u16619, _u16620), _u16621)), _u16622)) )).
% 12.54/12.79 cnf(matrix-7061, plain, ( ~class_Groups_Omonoid__add(_u16623) | ( c_List_Omonoid__add__class_Olistsum(_u16623) = c_List_Ofoldl(_u16623, _u16623, c_Groups_Oplus__class_Oplus(_u16623), c_Groups_Ozero__class_Ozero(_u16623))) )).
% 12.54/12.79 cnf(matrix-7062, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16628), _u16630) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16628 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.79 cnf(matrix-7063, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16628), _u16630) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16624), hAPP(c_List_Oset(tc_Nat_Onat), _u16630))) | ( _u16624 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.79 cnf(matrix-7064, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16629), _u16631) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16629 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem444(_u16631, _u16629)), hAPP(c_List_Oset(tc_Nat_Onat), _u16631))) )).
% 12.54/12.79 cnf(matrix-7065, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16629), _u16631) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16629 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem444(_u16631, _u16629) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.79 cnf(matrix-7066, plain, ( ~class_Orderings_Olinorder(_u16632) | ~hBOOL(hAPP(c_List_Odistinct(_u16633), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16633, _u16632, _u16634), _u16635), _u16636))) | ~hBOOL(hAPP(hAPP(c_member(_u16633), _u16635), hAPP(c_List_Oset(_u16633), _u16636))) )).
% 12.54/12.79 cnf(matrix-7067, plain, ( ~class_Orderings_Olinorder(_u16632) | ~hBOOL(hAPP(c_List_Odistinct(_u16633), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16633, _u16632, _u16634), _u16635), _u16636))) | hBOOL(hAPP(c_List_Odistinct(_u16633), _u16636)) )).
% 12.54/12.79 cnf(matrix-7068, plain, ( ~class_Orderings_Olinorder(_u16632) | hBOOL(hAPP(hAPP(c_member(_u16633), _u16635), hAPP(c_List_Oset(_u16633), _u16636))) | ~hBOOL(hAPP(c_List_Odistinct(_u16633), _u16636)) | hBOOL(hAPP(c_List_Odistinct(_u16633), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16633, _u16632, _u16634), _u16635), _u16636))) )).
% 12.54/12.79 cnf(matrix-7069, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u16637, _u16638, _u16639) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16637, _u16638, _u16639), _u16640), hAPP(c_List_Oset(_u16637), _u16641)) = hAPP(c_List_Ofoldl(_u16638, _u16637, hAPP(c_COMBC(_u16637, _u16638, _u16638), _u16639), _u16640), _u16641)) )).
% 12.54/12.79 cnf(matrix-7070, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16642) | ( c_Complete__Lattice_OSup__class_OSup(_u16642, hAPP(c_List_Oset(_u16642), _u16643)) = hAPP(c_List_Ofoldl(_u16642, _u16642, c_Lattices_Osemilattice__sup__class_Osup(_u16642), c_Orderings_Obot__class_Obot(_u16642)), _u16643)) )).
% 12.54/12.79 cnf(matrix-7071, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16644) | ( c_Complete__Lattice_OInf__class_OInf(_u16644, hAPP(c_List_Oset(_u16644), _u16645)) = hAPP(c_List_Ofoldl(_u16644, _u16644, c_Lattices_Osemilattice__inf__class_Oinf(_u16644), c_Orderings_Otop__class_Otop(_u16644)), _u16645)) )).
% 12.54/12.79 cnf(matrix-7072, plain, ( ~class_Lattices_Olattice(_u16646) | ( c_Big__Operators_Olattice__class_OSup__fin(_u16646, hAPP(c_List_Oset(_u16646), hAPP(hAPP(c_List_Olist_OCons(_u16646), _u16647), _u16648))) = hAPP(c_List_Ofoldl(_u16646, _u16646, c_Lattices_Osemilattice__sup__class_Osup(_u16646), _u16647), _u16648)) )).
% 12.54/12.79 cnf(matrix-7073, plain, ( ~class_Lattices_Olattice(_u16649) | ( c_Big__Operators_Olattice__class_OInf__fin(_u16649, hAPP(c_List_Oset(_u16649), hAPP(hAPP(c_List_Olist_OCons(_u16649), _u16650), _u16651))) = hAPP(c_List_Ofoldl(_u16649, _u16649, c_Lattices_Osemilattice__inf__class_Oinf(_u16649), _u16650), _u16651)) )).
% 12.54/12.79 cnf(matrix-7074, plain, ( ~class_Orderings_Olinorder(_u16652) | ( c_Big__Operators_Olinorder__class_OMin(_u16652, hAPP(c_List_Oset(_u16652), hAPP(hAPP(c_List_Olist_OCons(_u16652), _u16653), _u16654))) = hAPP(c_List_Ofoldl(_u16652, _u16652, c_Orderings_Oord__class_Omin(_u16652), _u16653), _u16654)) )).
% 12.54/12.79 cnf(matrix-7075, plain, ( ~class_Orderings_Olinorder(_u16655) | ( c_Big__Operators_Olinorder__class_OMax(_u16655, hAPP(c_List_Oset(_u16655), hAPP(hAPP(c_List_Olist_OCons(_u16655), _u16656), _u16657))) = hAPP(c_List_Ofoldl(_u16655, _u16655, c_Orderings_Oord__class_Omax(_u16655), _u16656), _u16657)) )).
% 12.54/12.79 cnf(matrix-7076, plain, ( ~class_Orderings_Olinorder(_u16658) | ( c_Big__Operators_Olattice_OInf__fin(_u16658, c_Orderings_Oord__class_Omin(_u16658), hAPP(c_List_Oset(_u16658), hAPP(hAPP(c_List_Olist_OCons(_u16658), _u16659), _u16660))) = hAPP(c_List_Ofoldl(_u16658, _u16658, c_Orderings_Oord__class_Omin(_u16658), _u16659), _u16660)) )).
% 12.54/12.79 cnf(matrix-7077, plain, ( ~class_Orderings_Olinorder(_u16661) | ( c_Big__Operators_Olattice_OSup__fin(_u16661, c_Orderings_Oord__class_Omax(_u16661), hAPP(c_List_Oset(_u16661), hAPP(hAPP(c_List_Olist_OCons(_u16661), _u16662), _u16663))) = hAPP(c_List_Ofoldl(_u16661, _u16661, c_Orderings_Oord__class_Omax(_u16661), _u16662), _u16663)) )).
% 12.54/12.79 cnf(matrix-7078, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16664) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16665, _u16664), hAPP(c_List_Oset(_u16665), _u16666)), _u16667) = hAPP(c_List_Ofoldl(_u16664, _u16665, hAPP(c_COMBC(_u16665, _u16664, _u16664), hAPP(hAPP(c_COMBB(_u16664, tc_fun(_u16664, _u16664), _u16665), c_Lattices_Osemilattice__sup__class_Osup(_u16664)), _u16667)), c_Orderings_Obot__class_Obot(_u16664)), _u16666)) )).
% 12.54/12.79 cnf(matrix-7079, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16668) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16669, _u16668), hAPP(c_List_Oset(_u16669), _u16670)), _u16671) = hAPP(c_List_Ofoldl(_u16668, _u16669, hAPP(c_COMBC(_u16669, _u16668, _u16668), hAPP(hAPP(c_COMBB(_u16668, tc_fun(_u16668, _u16668), _u16669), c_Lattices_Osemilattice__inf__class_Oinf(_u16668)), _u16671)), c_Orderings_Otop__class_Otop(_u16668)), _u16670)) )).
% 12.54/12.79 cnf(matrix-7080, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16672), hAPP(c_List_Oset(tc_Nat_Onat), _u16673))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16672), 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)), _u16673))) )).
% 12.54/12.79 cnf(matrix-7081, plain, ( ~class_Orderings_Olinorder(_u16674) | hBOOL(hAPP(hAPP(c_member(_u16674), hAPP(_u16675, _u16676)), hAPP(c_Set_Oimage(_u16677, _u16674, _u16675), hAPP(c_List_Oset(_u16677), _u16678)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16677, _u16674, _u16675, _u16676, _u16678) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16677, _u16674, _u16675), _u16676), _u16678)) )).
% 12.54/12.79 cnf(matrix-7082, plain, ( ( _u16681 != hAPP(hAPP(c_List_Olist_OCons(_u16682), _u16680), _u16679)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16682), tc_List_Olist(_u16682))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16682), tc_List_Olist(_u16682)), _u16683), hAPP(hAPP(c_List_Oappend(_u16682), _u16683), _u16681))), c_List_Olexord(_u16682, _u16684))) )).
% 12.54/12.79 cnf(matrix-7083, plain, ( ~class_Orderings_Olinorder(_u16685) | ~hBOOL(hAPP(c_List_Odistinct(_u16686), _u16687)) | hBOOL(hAPP(c_List_Odistinct(_u16686), c_List_Olinorder__class_Oinsort__insert__key(_u16686, _u16685, _u16688, _u16689, _u16687))) )).
% 12.54/12.79 cnf(matrix-7084, plain, ( ~class_Orderings_Olinorder(_u16690) | ~hBOOL(hAPP(hAPP(c_member(_u16690), _u16691), hAPP(c_List_Oset(_u16690), _u16692))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16690, _u16690, c_COMBI(_u16690), _u16691, _u16692) = _u16692) )).
% 12.54/12.79 cnf(matrix-7085, plain, ( ~class_Orderings_Olinorder(_u16693) | ( hAPP(c_List_Oset(_u16693), c_List_Olinorder__class_Oinsort__insert__key(_u16693, _u16693, c_COMBI(_u16693), _u16694, _u16695)) = hAPP(hAPP(c_Set_Oinsert(_u16693), _u16694), hAPP(c_List_Oset(_u16693), _u16695))) )).
% 12.54/12.79 cnf(matrix-7086, plain, ( ~class_Orderings_Olinorder(_u16696) | ~hBOOL(hAPP(hAPP(c_member(_u16696), hAPP(_u16697, _u16698)), hAPP(c_Set_Oimage(_u16699, _u16696, _u16697), hAPP(c_List_Oset(_u16699), _u16700)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16699, _u16696, _u16697, _u16698, _u16700) = _u16700) )).
% 12.54/12.79 cnf(matrix-7087, plain, ( ~class_Orderings_Olinorder(_u16701) | hBOOL(hAPP(hAPP(c_member(_u16701), _u16702), hAPP(c_List_Oset(_u16701), _u16703))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16701, _u16701, c_COMBI(_u16701), _u16702, _u16703) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16701, _u16701, c_COMBI(_u16701)), _u16702), _u16703)) )).
% 12.54/12.79 cnf(matrix-7088, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16711), tc_List_Olist(_u16711))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16711), tc_List_Olist(_u16711)), c_List_Olist_ONil(_u16711)), _u16713)), c_List_Olexord(_u16711, _u16715))) | ( _u16713 = hAPP(hAPP(c_List_Olist_OCons(_u16711), skolem445(_u16715, _u16713, _u16711)), skolem446(_u16715, _u16713, _u16711))) )).
% 12.54/12.79 cnf(matrix-7089, plain, ( ( _u16714 != hAPP(hAPP(c_List_Olist_OCons(_u16712), _u16707), _u16706)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16712), tc_List_Olist(_u16712))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16712), tc_List_Olist(_u16712)), c_List_Olist_ONil(_u16712)), _u16714)), c_List_Olexord(_u16712, _u16716))) )).
% 12.54/12.79 cnf(matrix-7090, plain, ( ( _u16717 = c_List_Olist_ONil(_u16718)) | ( _u16719 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16718)), _u16717)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u16718, hAPP(hAPP(c_List_Olist__update(_u16718, _u16717), _u16719), _u16720)) = _u16720) )).
% 12.54/12.79 cnf(matrix-7091, plain, ( ( _u16717 = c_List_Olist_ONil(_u16718)) | ( _u16719 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16718)), _u16717)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u16718, hAPP(hAPP(c_List_Olist__update(_u16718, _u16717), _u16719), _u16720)) = c_List_Olast(_u16718, _u16717)) )).
% 12.54/12.79 cnf(matrix-7092, plain, ( ( _u16721 != c_List_Olist_ONil(_u16722)) | ( c_List_Olast(_u16722, hAPP(hAPP(c_List_Olist_OCons(_u16722), _u16723), _u16721)) = _u16723) )).
% 12.54/12.79 cnf(matrix-7093, plain, ( ( _u16724 = c_List_Olist_ONil(_u16725)) | ( c_List_Olast(_u16725, hAPP(hAPP(c_List_Olist_OCons(_u16725), _u16726), _u16724)) = c_List_Olast(_u16725, _u16724)) )).
% 12.54/12.79 cnf(matrix-7094, plain, ( ( _u16730 != c_List_Olist_ONil(_u16732)) | ( c_List_Olast(_u16732, hAPP(hAPP(c_List_Olist_OCons(_u16732), _u16734), _u16730)) = _u16734) )).
% 12.54/12.79 cnf(matrix-7095, plain, ( ( _u16731 = c_List_Olist_ONil(_u16733)) | ( c_List_Olast(_u16733, hAPP(hAPP(c_List_Olist_OCons(_u16733), _u16735), _u16731)) = c_List_Olast(_u16733, _u16731)) )).
% 12.54/12.79 cnf(matrix-7096, plain, ( ( _u16736 != c_List_Olist_ONil(_u16737)) | ( c_List_Olast(_u16737, hAPP(hAPP(c_List_Oappend(_u16737), _u16738), _u16736)) = c_List_Olast(_u16737, _u16738)) )).
% 12.54/12.79 cnf(matrix-7097, plain, ( ( _u16739 = c_List_Olist_ONil(_u16740)) | ( c_List_Olast(_u16740, hAPP(hAPP(c_List_Oappend(_u16740), _u16741), _u16739)) = c_List_Olast(_u16740, _u16739)) )).
% 12.54/12.79 cnf(matrix-7098, plain, ( ( _u16745 != c_List_Olist_ONil(_u16747)) | ( c_List_Olast(_u16747, hAPP(hAPP(c_List_Oappend(_u16747), _u16749), _u16745)) = c_List_Olast(_u16747, _u16749)) )).
% 12.54/12.79 cnf(matrix-7099, plain, ( ( _u16746 = c_List_Olist_ONil(_u16748)) | ( c_List_Olast(_u16748, hAPP(hAPP(c_List_Oappend(_u16748), _u16750), _u16746)) = c_List_Olast(_u16748, _u16746)) )).
% 12.54/12.79 cnf(matrix-7100, plain, ( ( _u16751 = c_List_Olist_ONil(_u16752)) | hBOOL(hAPP(hAPP(c_member(_u16752), c_List_Olast(_u16752, _u16751)), hAPP(c_List_Oset(_u16752), _u16751))) )).
% 12.54/12.79 cnf(matrix-7101, plain, ( ( c_List_Olast(_u16753, hAPP(hAPP(c_List_Oappend(_u16753), _u16754), hAPP(hAPP(c_List_Olist_OCons(_u16753), _u16755), c_List_Olist_ONil(_u16753)))) = _u16755) )).
% 12.54/12.79 cnf(matrix-7102, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16756), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16757)), _u16758))) | ( c_List_Olast(_u16757, hAPP(hAPP(c_List_Odrop(_u16757), _u16756), _u16758)) = c_List_Olast(_u16757, _u16758)) )).
% 12.54/12.79 cnf(matrix-7103, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16763), _u16765), hAPP(hAPP(c_List_Olist_OCons(_u16763), _u16767), c_List_Olist_ONil(_u16763))) != _u16769) | ( _u16769 != c_List_Olist_ONil(_u16763)) )).
% 12.54/12.79 cnf(matrix-7104, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16763), _u16765), hAPP(hAPP(c_List_Olist_OCons(_u16763), _u16767), c_List_Olist_ONil(_u16763))) != _u16769) | ( c_List_Obutlast(_u16763, _u16769) = _u16765) )).
% 12.54/12.79 cnf(matrix-7105, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16763), _u16765), hAPP(hAPP(c_List_Olist_OCons(_u16763), _u16767), c_List_Olist_ONil(_u16763))) != _u16769) | ( c_List_Olast(_u16763, _u16769) = _u16767) )).
% 12.54/12.79 cnf(matrix-7106, plain, ( ( _u16770 = c_List_Olist_ONil(_u16764)) | ( c_List_Obutlast(_u16764, _u16770) != _u16766) | ( c_List_Olast(_u16764, _u16770) != _u16768) | ( hAPP(hAPP(c_List_Oappend(_u16764), _u16766), hAPP(hAPP(c_List_Olist_OCons(_u16764), _u16768), c_List_Olist_ONil(_u16764))) = _u16770) )).
% 12.54/12.79 cnf(matrix-7107, plain, ( ( _u16771 = c_List_Olist_ONil(_u16772)) | ( hAPP(hAPP(c_List_Oappend(_u16772), c_List_Obutlast(_u16772, _u16771)), hAPP(hAPP(c_List_Olist_OCons(_u16772), c_List_Olast(_u16772, _u16771)), c_List_Olist_ONil(_u16772))) = _u16771) )).
% 12.54/12.79 cnf(matrix-7108, plain, ( ( _u16773 = c_List_Olist_ONil(_u16774)) | ( c_List_Olast(_u16774, _u16773) = hAPP(hAPP(c_List_Onth(_u16774), _u16773), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16774)), _u16773)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.54/12.79 cnf(matrix-7109, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16782)), _u16784), c_List_Olists(_u16782, _u16786))) | ( _u16784 = c_List_Olist_ONil(_u16782)) | hBOOL(hAPP(hAPP(c_member(_u16782), skolem447(_u16786, _u16784, _u16782)), _u16786)) )).
% 12.54/12.79 cnf(matrix-7110, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16782)), _u16784), c_List_Olists(_u16782, _u16786))) | ( _u16784 = c_List_Olist_ONil(_u16782)) | ( _u16784 = hAPP(hAPP(c_List_Olist_OCons(_u16782), skolem447(_u16786, _u16784, _u16782)), skolem448(_u16786, _u16784, _u16782))) )).
% 12.54/12.79 cnf(matrix-7111, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16782)), _u16784), c_List_Olists(_u16782, _u16786))) | ( _u16784 = c_List_Olist_ONil(_u16782)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16782)), skolem448(_u16786, _u16784, _u16782)), c_List_Olists(_u16782, _u16786))) )).
% 12.54/12.79 cnf(matrix-7112, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16783)), _u16785), c_List_Olists(_u16783, _u16787))) | ( _u16785 != c_List_Olist_ONil(_u16783)) )).
% 12.54/12.79 cnf(matrix-7113, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16783)), _u16785), c_List_Olists(_u16783, _u16787))) | ~hBOOL(hAPP(hAPP(c_member(_u16783), _u16778), _u16787)) | ( _u16785 != hAPP(hAPP(c_List_Olist_OCons(_u16783), _u16778), _u16777)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16783)), _u16777), c_List_Olists(_u16783, _u16787))) )).
% 12.54/12.79 cnf(matrix-7114, plain, ( ( _u16788 = c_List_Olist_ONil(_u16789)) | ( c_Random_Oselect__weight(_u16789, hAPP(hAPP(c_List_Omap(_u16789, tc_prod(tc_Code__Numeral_Ocode__numeral, _u16789)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u16789), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u16788)) = c_Random_Oselect(_u16789, _u16788)) )).
% 12.54/12.79 cnf(matrix-7115, plain, ( ~c_Fun_Oinj__on(_u16790, _u16791, _u16792, c_Orderings_Otop__class_Otop(tc_fun(_u16790, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u16790), tc_List_Olist(_u16791), hAPP(c_List_Omap(_u16790, _u16791), _u16792), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u16790), tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-7116, plain, ( ( _u16793 = c_List_Olist_ONil(_u16794)) | ( c_List_Olast(_u16795, hAPP(hAPP(c_List_Omap(_u16794, _u16795), _u16796), _u16793)) = hAPP(_u16796, c_List_Olast(_u16794, _u16793))) )).
% 12.54/12.79 cnf(matrix-7117, plain, ( ( c_List_Olist_Olist__size(_u16797, _u16798, hAPP(hAPP(c_List_Omap(_u16799, _u16797), _u16800), _u16801)) = c_List_Olist_Olist__size(_u16799, hAPP(c_Fun_Ocomp(_u16797, tc_Nat_Onat, _u16799, _u16798), _u16800), _u16801)) )).
% 12.54/12.79 cnf(matrix-7118, plain, ( ( hAPP(hAPP(c_List_Omap(_u16802, _u16803), _u16804), hAPP(hAPP(c_List_Omap(_u16805, _u16802), _u16806), _u16807)) = hAPP(hAPP(c_List_Omap(_u16805, _u16803), hAPP(c_Fun_Ocomp(_u16802, _u16803, _u16805, _u16804), _u16806)), _u16807)) )).
% 12.54/12.79 cnf(matrix-7119, plain, ( ( hAPP(hAPP(c_List_Omap(_u16808, _u16809), _u16810), hAPP(hAPP(c_List_Omap(_u16811, _u16808), _u16812), _u16813)) = hAPP(hAPP(c_List_Omap(_u16811, _u16809), hAPP(c_Fun_Ocomp(_u16808, _u16809, _u16811, _u16810), _u16812)), _u16813)) )).
% 12.54/12.79 cnf(matrix-7120, plain, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u16814), tc_List_Olist(_u16815), tc_List_Olist(_u16816), hAPP(c_List_Omap(_u16814, _u16815), _u16817)), hAPP(c_List_Omap(_u16816, _u16814), _u16818)) = hAPP(c_List_Omap(_u16816, _u16815), hAPP(c_Fun_Ocomp(_u16814, _u16815, _u16816, _u16817), _u16818))) )).
% 12.54/12.79 cnf(matrix-7121, plain, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u16819), tc_List_Olist(_u16820), tc_List_Olist(_u16821), hAPP(c_List_Omap(_u16819, _u16820), _u16822)), hAPP(c_List_Omap(_u16821, _u16819), _u16823)) = hAPP(c_List_Omap(_u16821, _u16820), hAPP(c_Fun_Ocomp(_u16819, _u16820, _u16821, _u16822), _u16823))) )).
% 12.54/12.79 cnf(matrix-7122, plain, ( ( hAPP(c_List_Omap(_u16824, _u16824), c_Fun_Oid(_u16824)) = c_Fun_Oid(tc_List_Olist(_u16824))) )).
% 12.54/12.79 cnf(matrix-7123, plain, ( ( hAPP(c_List_Omap(_u16825, _u16825), c_COMBI(_u16825)) = c_Fun_Oid(tc_List_Olist(_u16825))) )).
% 12.54/12.79 cnf(matrix-7124, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16826), _u16827), hAPP(hAPP(c_List_Omap(_u16828, _u16826), _u16829), _u16830)) = hAPP(hAPP(c_List_Omap(_u16828, _u16826), _u16829), hAPP(hAPP(c_List_Odrop(_u16828), _u16827), _u16830))) )).
% 12.54/12.79 cnf(matrix-7125, plain, ( ( _u16831 = c_List_Olist_ONil(_u16832)) | ( hAPP(c_List_Ohd(_u16833), hAPP(hAPP(c_List_Omap(_u16832, _u16833), _u16834), _u16831)) = hAPP(_u16834, hAPP(c_List_Ohd(_u16832), _u16831))) )).
% 12.54/12.79 cnf(matrix-7126, plain, ( ( hAPP(hAPP(c_List_Omap(_u16835, _u16836), _u16837), hAPP(hAPP(c_List_Oappend(_u16835), _u16838), _u16839)) = hAPP(hAPP(c_List_Oappend(_u16836), hAPP(hAPP(c_List_Omap(_u16835, _u16836), _u16837), _u16838)), hAPP(hAPP(c_List_Omap(_u16835, _u16836), _u16837), _u16839))) )).
% 12.54/12.79 cnf(matrix-7127, plain, ( ( hAPP(hAPP(c_List_Omap(_u16840, _u16841), _u16842), hAPP(hAPP(c_List_Olist_OCons(_u16840), _u16843), _u16844)) = hAPP(hAPP(c_List_Olist_OCons(_u16841), hAPP(_u16842, _u16843)), hAPP(hAPP(c_List_Omap(_u16840, _u16841), _u16842), _u16844))) )).
% 12.54/12.79 cnf(matrix-7128, plain, ( ( hAPP(c_List_Oset(_u16845), hAPP(hAPP(c_List_Omap(_u16846, _u16845), _u16847), _u16848)) = hAPP(c_Set_Oimage(_u16846, _u16845, _u16847), hAPP(c_List_Oset(_u16846), _u16848))) )).
% 12.54/12.79 cnf(matrix-7129, plain, ( ( hAPP(hAPP(c_List_Omap(_u16849, _u16850), _u16851), c_List_Obutlast(_u16849, _u16852)) = c_List_Obutlast(_u16850, hAPP(hAPP(c_List_Omap(_u16849, _u16850), _u16851), _u16852))) )).
% 12.54/12.79 cnf(matrix-7130, plain, ( ( hAPP(hAPP(c_List_Otake(_u16853), _u16854), hAPP(hAPP(c_List_Omap(_u16855, _u16853), _u16856), _u16857)) = hAPP(hAPP(c_List_Omap(_u16855, _u16853), _u16856), hAPP(hAPP(c_List_Otake(_u16855), _u16854), _u16857))) )).
% 12.54/12.79 cnf(matrix-7131, plain, ( ( hAPP(hAPP(c_List_Omap(_u16858, _u16858), c_COMBI(_u16858)), _u16859) = _u16859) )).
% 12.54/12.79 cnf(matrix-7132, plain, ( ~c_Fun_Oinj__on(_u16860, _u16861, _u16862, c_Orderings_Otop__class_Otop(tc_fun(_u16860, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u16860, _u16861), _u16862), _u16863) != hAPP(hAPP(c_List_Omap(_u16860, _u16861), _u16862), _u16864)) | ( _u16863 = _u16864) )).
% 12.54/12.79 cnf(matrix-7133, plain, ( ~c_Fun_Oinj__on(_u16860, _u16861, _u16862, c_Orderings_Otop__class_Otop(tc_fun(_u16860, tc_HOL_Obool))) | ( _u16863 != _u16864) | ( hAPP(hAPP(c_List_Omap(_u16860, _u16861), _u16862), _u16863) = hAPP(hAPP(c_List_Omap(_u16860, _u16861), _u16862), _u16864)) )).
% 12.54/12.79 cnf(matrix-7134, plain, ( ( hAPP(hAPP(c_List_Omap(_u16865, _u16866), _u16867), _u16868) != hAPP(hAPP(c_List_Omap(_u16865, _u16866), _u16867), _u16869)) | ~c_Fun_Oinj__on(_u16865, _u16866, _u16867, c_Orderings_Otop__class_Otop(tc_fun(_u16865, tc_HOL_Obool))) | ( _u16868 = _u16869) )).
% 12.54/12.79 cnf(matrix-7135, plain, ( ~class_Groups_Oab__group__add(_u16870) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16870), hAPP(hAPP(c_List_Omap(_u16871, _u16870), hAPP(hAPP(c_COMBS(_u16871, _u16870, _u16870), hAPP(hAPP(c_COMBB(_u16870, tc_fun(_u16870, _u16870), _u16871), c_Groups_Ominus__class_Ominus(_u16870)), _u16872)), _u16873)), _u16874)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u16870), hAPP(c_List_Omonoid__add__class_Olistsum(_u16870), hAPP(hAPP(c_List_Omap(_u16871, _u16870), _u16872), _u16874))), hAPP(c_List_Omonoid__add__class_Olistsum(_u16870), hAPP(hAPP(c_List_Omap(_u16871, _u16870), _u16873), _u16874)))) )).
% 12.54/12.79 cnf(matrix-7136, plain, ( ~class_Groups_Ocomm__monoid__add(_u16875) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16875), hAPP(hAPP(c_List_Omap(_u16876, _u16875), hAPP(hAPP(c_COMBS(_u16876, _u16875, _u16875), hAPP(hAPP(c_COMBB(_u16875, tc_fun(_u16875, _u16875), _u16876), c_Groups_Oplus__class_Oplus(_u16875)), _u16877)), _u16878)), _u16879)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16875), hAPP(c_List_Omonoid__add__class_Olistsum(_u16875), hAPP(hAPP(c_List_Omap(_u16876, _u16875), _u16877), _u16879))), hAPP(c_List_Omonoid__add__class_Olistsum(_u16875), hAPP(hAPP(c_List_Omap(_u16876, _u16875), _u16878), _u16879)))) )).
% 12.54/12.79 cnf(matrix-7137, plain, ( ~class_Rings_Osemiring__0(_u16880) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16880), hAPP(hAPP(c_List_Omap(_u16881, _u16880), hAPP(hAPP(c_COMBB(_u16880, _u16880, _u16881), hAPP(c_Groups_Otimes__class_Otimes(_u16880), _u16882)), _u16883)), _u16884)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u16880), _u16882), hAPP(c_List_Omonoid__add__class_Olistsum(_u16880), hAPP(hAPP(c_List_Omap(_u16881, _u16880), _u16883), _u16884)))) )).
% 12.54/12.79 cnf(matrix-7138, plain, ( ~class_Rings_Osemiring__0(_u16885) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16885), hAPP(hAPP(c_List_Omap(_u16886, _u16885), hAPP(hAPP(c_COMBC(_u16886, _u16885, _u16885), hAPP(hAPP(c_COMBB(_u16885, tc_fun(_u16885, _u16885), _u16886), c_Groups_Otimes__class_Otimes(_u16885)), _u16887)), _u16888)), _u16889)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u16885), hAPP(c_List_Omonoid__add__class_Olistsum(_u16885), hAPP(hAPP(c_List_Omap(_u16886, _u16885), _u16887), _u16889))), _u16888)) )).
% 12.54/12.79 cnf(matrix-7139, plain, ( ~class_Groups_Omonoid__add(_u16890) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16890), hAPP(hAPP(c_List_Omap(_u16891, _u16890), hAPP(c_COMBK(_u16890, _u16891), c_Groups_Ozero__class_Ozero(_u16890))), _u16892)) = c_Groups_Ozero__class_Ozero(_u16890)) )).
% 12.54/12.79 cnf(matrix-7140, plain, ( ( hAPP(hAPP(c_List_Omap(_u16893, _u16894), _u16895), _u16896) != hAPP(hAPP(c_List_Omap(_u16897, _u16894), _u16898), _u16899)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16893)), _u16896) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16897)), _u16899)) )).
% 12.54/12.79 cnf(matrix-7141, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16900)), hAPP(hAPP(c_List_Omap(_u16901, _u16900), _u16902), _u16903)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16901)), _u16903)) )).
% 12.54/12.79 cnf(matrix-7142, plain, ( ( hAPP(hAPP(c_List_Omap(_u16911, _u16913), _u16915), _u16917) != hAPP(hAPP(c_List_Omap(_u16911, _u16913), _u16919), _u16917)) | ~hBOOL(hAPP(hAPP(c_member(_u16911), _u16904), hAPP(c_List_Oset(_u16911), _u16917))) | ( hAPP(_u16915, _u16904) = hAPP(_u16919, _u16904)) )).
% 12.54/12.79 cnf(matrix-7143, plain, ( ( hAPP(hAPP(c_List_Omap(_u16912, _u16914), _u16916), _u16918) = hAPP(hAPP(c_List_Omap(_u16912, _u16914), _u16920), _u16918)) | hBOOL(hAPP(hAPP(c_member(_u16912), skolem449(_u16920, _u16918, _u16916, _u16914, _u16912)), hAPP(c_List_Oset(_u16912), _u16918))) )).
% 12.54/12.79 cnf(matrix-7144, plain, ( ( hAPP(hAPP(c_List_Omap(_u16912, _u16914), _u16916), _u16918) = hAPP(hAPP(c_List_Omap(_u16912, _u16914), _u16920), _u16918)) | ( hAPP(_u16916, skolem449(_u16920, _u16918, _u16916, _u16914, _u16912)) != hAPP(_u16920, skolem449(_u16920, _u16918, _u16916, _u16914, _u16912))) )).
% 12.54/12.79 cnf(matrix-7145, plain, ( ( hAPP(hAPP(c_List_Omap(_u16921, _u16922), _u16923), hAPP(hAPP(c_List_Olist__update(_u16921, _u16924), _u16925), _u16926)) = hAPP(hAPP(c_List_Olist__update(_u16922, hAPP(hAPP(c_List_Omap(_u16921, _u16922), _u16923), _u16924)), _u16925), hAPP(_u16923, _u16926))) )).
% 12.54/12.79 cnf(matrix-7146, plain, ( ( _u16937 = c_List_Olist_ONil(_u16933)) | ( c_List_Olist_ONil(_u16931) != hAPP(hAPP(c_List_Omap(_u16933, _u16931), _u16935), _u16937)) )).
% 12.54/12.79 cnf(matrix-7147, plain, ( ( _u16938 != c_List_Olist_ONil(_u16934)) | ( c_List_Olist_ONil(_u16932) = hAPP(hAPP(c_List_Omap(_u16934, _u16932), _u16936), _u16938)) )).
% 12.54/12.79 cnf(matrix-7148, plain, ( ( hAPP(hAPP(c_List_Omap(_u16939, _u16940), _u16941), c_List_Olist_ONil(_u16939)) = c_List_Olist_ONil(_u16940)) )).
% 12.54/12.79 cnf(matrix-7149, plain, ( ( hAPP(hAPP(c_List_Omap(_u16946, _u16948), _u16950), _u16952) != c_List_Olist_ONil(_u16948)) | ( _u16952 = c_List_Olist_ONil(_u16946)) )).
% 12.54/12.79 cnf(matrix-7150, plain, ( ( _u16953 != c_List_Olist_ONil(_u16947)) | ( hAPP(hAPP(c_List_Omap(_u16947, _u16949), _u16951), _u16953) = c_List_Olist_ONil(_u16949)) )).
% 12.54/12.79 cnf(matrix-7151, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16954, _u16954), _u16955), _u16955) = hAPP(hAPP(c_List_Omap(_u16954, tc_prod(_u16954, _u16954)), hAPP(hAPP(c_COMBS(_u16954, _u16954, tc_prod(_u16954, _u16954)), c_Product__Type_OPair(_u16954, _u16954)), c_COMBI(_u16954))), _u16955)) )).
% 12.54/12.79 cnf(matrix-7152, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16956, _u16957), _u16958), hAPP(hAPP(c_List_Omap(_u16959, _u16957), _u16960), _u16961)) = hAPP(hAPP(c_List_Omap(tc_prod(_u16956, _u16959), tc_prod(_u16956, _u16957)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16956, _u16959, tc_prod(_u16956, _u16957)), hAPP(hAPP(c_COMBC(_u16956, tc_fun(_u16959, _u16957), tc_fun(_u16959, tc_prod(_u16956, _u16957))), hAPP(hAPP(c_COMBB(tc_fun(_u16957, tc_prod(_u16956, _u16957)), tc_fun(tc_fun(_u16959, _u16957), tc_fun(_u16959, tc_prod(_u16956, _u16957))), _u16956), c_COMBB(_u16957, tc_prod(_u16956, _u16957), _u16959)), c_Product__Type_OPair(_u16956, _u16957))), _u16960))), hAPP(hAPP(c_List_Ozip(_u16956, _u16959), _u16958), _u16961))) )).
% 12.54/12.79 cnf(matrix-7153, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u16962, _u16963), _u16964), _u16965), hAPP(hAPP(c_List_Ozip(_u16962, _u16963), _u16966), hAPP(hAPP(c_List_Omap(_u16967, _u16963), _u16968), _u16969))) = hAPP(hAPP(c_List_Omap(tc_prod(_u16962, _u16967), _u16964), hAPP(c_Product__Type_Oprod_Oprod__case(_u16962, _u16967, _u16964), hAPP(hAPP(c_COMBB(tc_fun(_u16967, tc_prod(_u16962, _u16963)), tc_fun(_u16967, _u16964), _u16962), hAPP(c_COMBB(tc_prod(_u16962, _u16963), _u16964, _u16967), _u16965)), hAPP(hAPP(c_COMBC(_u16962, tc_fun(_u16967, _u16963), tc_fun(_u16967, tc_prod(_u16962, _u16963))), hAPP(hAPP(c_COMBB(tc_fun(_u16963, tc_prod(_u16962, _u16963)), tc_fun(tc_fun(_u16967, _u16963), tc_fun(_u16967, tc_prod(_u16962, _u16963))), _u16962), c_COMBB(_u16963, tc_prod(_u16962, _u16963), _u16967)), c_Product__Type_OPair(_u16962, _u16963))), _u16968)))), hAPP(hAPP(c_List_Ozip(_u16962, _u16967), _u16966), _u16969))) )).
% 12.54/12.79 cnf(matrix-7154, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u16970, _u16971), _u16972), _u16973), hAPP(hAPP(c_List_Ozip(_u16970, _u16971), hAPP(hAPP(c_List_Omap(_u16974, _u16970), _u16975), _u16976)), _u16977)) = hAPP(hAPP(c_List_Omap(tc_prod(_u16974, _u16971), _u16972), hAPP(c_Product__Type_Oprod_Oprod__case(_u16974, _u16971, _u16972), hAPP(hAPP(c_COMBB(tc_fun(_u16971, tc_prod(_u16970, _u16971)), tc_fun(_u16971, _u16972), _u16974), hAPP(c_COMBB(tc_prod(_u16970, _u16971), _u16972, _u16971), _u16973)), hAPP(hAPP(c_COMBB(_u16970, tc_fun(_u16971, tc_prod(_u16970, _u16971)), _u16974), c_Product__Type_OPair(_u16970, _u16971)), _u16975)))), hAPP(hAPP(c_List_Ozip(_u16974, _u16971), _u16976), _u16977))) )).
% 12.54/12.79 cnf(matrix-7155, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16978, _u16979), hAPP(hAPP(c_List_Omap(_u16980, _u16978), _u16981), _u16982)), _u16983) = hAPP(hAPP(c_List_Omap(tc_prod(_u16980, _u16979), tc_prod(_u16978, _u16979)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16980, _u16979, tc_prod(_u16978, _u16979)), hAPP(hAPP(c_COMBB(_u16978, tc_fun(_u16979, tc_prod(_u16978, _u16979)), _u16980), c_Product__Type_OPair(_u16978, _u16979)), _u16981))), hAPP(hAPP(c_List_Ozip(_u16980, _u16979), _u16982), _u16983))) )).
% 12.54/12.79 cnf(matrix-7156, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16984, _u16985), hAPP(hAPP(c_List_Omap(_u16986, _u16984), _u16987), _u16988)), hAPP(hAPP(c_List_Omap(_u16989, _u16985), _u16990), _u16991)) = hAPP(hAPP(c_List_Omap(tc_prod(_u16986, _u16989), tc_prod(_u16984, _u16985)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16986, _u16989, tc_prod(_u16984, _u16985)), hAPP(hAPP(c_COMBC(_u16986, tc_fun(_u16989, _u16985), tc_fun(_u16989, tc_prod(_u16984, _u16985))), hAPP(hAPP(c_COMBB(tc_fun(_u16985, tc_prod(_u16984, _u16985)), tc_fun(tc_fun(_u16989, _u16985), tc_fun(_u16989, tc_prod(_u16984, _u16985))), _u16986), c_COMBB(_u16985, tc_prod(_u16984, _u16985), _u16989)), hAPP(hAPP(c_COMBB(_u16984, tc_fun(_u16985, tc_prod(_u16984, _u16985)), _u16986), c_Product__Type_OPair(_u16984, _u16985)), _u16987))), _u16990))), hAPP(hAPP(c_List_Ozip(_u16986, _u16989), _u16988), _u16991))) )).
% 12.54/12.79 cnf(matrix-7157, plain, ( ( hAPP(hAPP(c_List_Omap(_u16992, _u16993), _u16994), hAPP(c_List_Otl(_u16992), _u16995)) = hAPP(c_List_Otl(_u16993), hAPP(hAPP(c_List_Omap(_u16992, _u16993), _u16994), _u16995))) )).
% 12.54/12.79 cnf(matrix-7158, plain, ( ( hAPP(c_List_Orotate(_u16996, _u16997), hAPP(hAPP(c_List_Omap(_u16998, _u16996), _u16999), _u17000)) = hAPP(hAPP(c_List_Omap(_u16998, _u16996), _u16999), hAPP(c_List_Orotate(_u16998, _u16997), _u17000))) )).
% 12.54/12.79 cnf(matrix-7159, plain, ( ( hAPP(c_List_Ofoldl(_u17001, _u17002, _u17003, _u17004), hAPP(hAPP(c_List_Omap(_u17005, _u17002), _u17006), _u17007)) = hAPP(c_List_Ofoldl(_u17001, _u17005, hAPP(hAPP(c_COMBC(_u17001, tc_fun(_u17005, _u17002), tc_fun(_u17005, _u17001)), hAPP(hAPP(c_COMBB(tc_fun(_u17002, _u17001), tc_fun(tc_fun(_u17005, _u17002), tc_fun(_u17005, _u17001)), _u17001), c_COMBB(_u17002, _u17001, _u17005)), _u17003)), _u17006), _u17004), _u17007)) )).
% 12.54/12.79 cnf(matrix-7160, plain, ( ~c_Fun_Oinj__on(_u17008, _u17009, _u17010, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17008, tc_HOL_Obool)), hAPP(c_List_Oset(_u17008), _u17011)), hAPP(c_List_Oset(_u17008), _u17012))) | ( hAPP(hAPP(c_List_Omap(_u17008, _u17009), _u17010), _u17011) != hAPP(hAPP(c_List_Omap(_u17008, _u17009), _u17010), _u17012)) | ( _u17011 = _u17012) )).
% 12.54/12.79 cnf(matrix-7161, plain, ( ~c_Fun_Oinj__on(_u17008, _u17009, _u17010, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17008, tc_HOL_Obool)), hAPP(c_List_Oset(_u17008), _u17011)), hAPP(c_List_Oset(_u17008), _u17012))) | ( _u17011 != _u17012) | ( hAPP(hAPP(c_List_Omap(_u17008, _u17009), _u17010), _u17011) = hAPP(hAPP(c_List_Omap(_u17008, _u17009), _u17010), _u17012)) )).
% 12.54/12.79 cnf(matrix-7162, plain, ( ( hAPP(hAPP(c_List_Omap(_u17013, _u17014), _u17015), _u17016) != hAPP(hAPP(c_List_Omap(_u17013, _u17014), _u17015), _u17017)) | ~c_Fun_Oinj__on(_u17013, _u17014, _u17015, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17013, tc_HOL_Obool)), hAPP(c_List_Oset(_u17013), _u17016)), hAPP(c_List_Oset(_u17013), _u17017))) | ( _u17016 = _u17017) )).
% 12.54/12.79 cnf(matrix-7163, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17018), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17019)), _u17020))) | ( hAPP(hAPP(c_List_Onth(_u17021), hAPP(hAPP(c_List_Omap(_u17019, _u17021), _u17022), _u17020)), _u17018) = hAPP(_u17022, hAPP(hAPP(c_List_Onth(_u17019), _u17020), _u17018))) )).
% 12.54/12.79 cnf(matrix-7164, plain, ( hBOOL(hAPP(hAPP(c_member(_u17023), _u17024), hAPP(c_List_Oset(_u17023), _u17025))) | ( hAPP(hAPP(c_List_Omap(_u17023, _u17026), c_Fun_Ofun__upd(_u17023, _u17026, _u17027, _u17024, _u17028)), _u17025) = hAPP(hAPP(c_List_Omap(_u17023, _u17026), _u17027), _u17025)) )).
% 12.54/12.79 cnf(matrix-7165, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17033), hAPP(hAPP(c_List_Omap(_u17035, _u17033), _u17037), _u17039))) | hBOOL(hAPP(c_List_Odistinct(_u17035), _u17039)) )).
% 12.54/12.79 cnf(matrix-7166, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17033), hAPP(hAPP(c_List_Omap(_u17035, _u17033), _u17037), _u17039))) | c_Fun_Oinj__on(_u17035, _u17033, _u17037, hAPP(c_List_Oset(_u17035), _u17039)) )).
% 12.54/12.79 cnf(matrix-7167, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17036), _u17040)) | ~c_Fun_Oinj__on(_u17036, _u17034, _u17038, hAPP(c_List_Oset(_u17036), _u17040)) | hBOOL(hAPP(c_List_Odistinct(_u17034), hAPP(hAPP(c_List_Omap(_u17036, _u17034), _u17038), _u17040))) )).
% 12.54/12.79 cnf(matrix-7168, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u17041) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17041), hAPP(c_Groups_Oabs__class_Oabs(_u17041), hAPP(c_List_Omonoid__add__class_Olistsum(_u17041), _u17042))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17041), hAPP(hAPP(c_List_Omap(_u17041, _u17041), c_Groups_Oabs__class_Oabs(_u17041)), _u17042)))) )).
% 12.54/12.79 cnf(matrix-7169, plain, ( ~class_Groups_Oab__group__add(_u17043) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u17043), hAPP(c_List_Omonoid__add__class_Olistsum(_u17043), hAPP(hAPP(c_List_Omap(_u17044, _u17043), _u17045), _u17046))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17043), hAPP(hAPP(c_List_Omap(_u17044, _u17043), hAPP(c_Fun_Ocomp(_u17043, _u17043, _u17044, c_Groups_Ouminus__class_Ouminus(_u17043)), _u17045)), _u17046))) )).
% 12.54/12.79 cnf(matrix-7170, plain, ( ~c_Fun_Oinj__on(_u17047, _u17048, _u17049, c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17047, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_List_Olist(_u17047), tc_fun(_u17047, tc_HOL_Obool), c_List_Oset(_u17047)), _u17050))) | c_Fun_Oinj__on(tc_List_Olist(_u17047), tc_List_Olist(_u17048), hAPP(c_List_Omap(_u17047, _u17048), _u17049), _u17050) )).
% 12.54/12.79 cnf(matrix-7171, plain, ( ~c_Fun_Oinj__on(tc_List_Olist(_u17051), tc_List_Olist(_u17052), hAPP(c_List_Omap(_u17051, _u17052), _u17053), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17051), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17051, _u17052, _u17053, c_Orderings_Otop__class_Otop(tc_fun(_u17051, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-7172, plain, ( ~c_Fun_Oinj__on(tc_List_Olist(_u17057), tc_List_Olist(_u17059), hAPP(c_List_Omap(_u17057, _u17059), _u17061), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17057), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17057, _u17059, _u17061, c_Orderings_Otop__class_Otop(tc_fun(_u17057, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-7173, plain, ( ~c_Fun_Oinj__on(_u17058, _u17060, _u17062, c_Orderings_Otop__class_Otop(tc_fun(_u17058, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u17058), tc_List_Olist(_u17060), hAPP(c_List_Omap(_u17058, _u17060), _u17062), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17058), tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-7174, plain, ( ~class_Groups_Ocomm__monoid__add(_u17063) | ~hBOOL(hAPP(c_List_Odistinct(_u17064), _u17065)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17063), hAPP(hAPP(c_List_Omap(_u17064, _u17063), _u17066), _u17065)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u17064, _u17063), _u17066), hAPP(c_List_Oset(_u17064), _u17065))) )).
% 12.54/12.79 cnf(matrix-7175, plain, ( ~class_Rings_Osemiring__1(_u17067) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17067), hAPP(hAPP(c_List_Omap(_u17068, _u17067), hAPP(c_COMBK(_u17067, _u17068), _u17069)), _u17070)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u17067), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u17067), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17068)), _u17070))), _u17069)) )).
% 12.54/12.79 cnf(matrix-7176, plain, ( ~class_Groups_Ocomm__monoid__add(_u17071) | ~hBOOL(hAPP(hAPP(c_member(_u17072), _u17073), hAPP(c_List_Oset(_u17072), _u17074))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17071), hAPP(hAPP(c_List_Omap(_u17072, _u17071), _u17075), _u17074)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17071), hAPP(_u17075, _u17073)), hAPP(c_List_Omonoid__add__class_Olistsum(_u17071), hAPP(hAPP(c_List_Omap(_u17072, _u17071), _u17075), c_List_Oremove1(_u17072, _u17073, _u17074))))) )).
% 12.54/12.79 cnf(matrix-7177, plain, ( ~class_Groups_Ocomm__monoid__add(_u17076) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17077), _u17078)) | ( c_Nitpick_Osetsum_H(_u17077, _u17076, _u17079, _u17078) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17076), hAPP(hAPP(c_List_Omap(_u17077, _u17076), _u17079), c_Hilbert__Choice_OEps(tc_List_Olist(_u17077), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17077), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17077)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17077), tc_fun(_u17077, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u17077, tc_HOL_Obool), tc_fun(tc_fun(_u17077, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u17077)), c_fequal), c_List_Oset(_u17077))), _u17078))), c_List_Odistinct(_u17077)))))) )).
% 12.54/12.79 cnf(matrix-7178, plain, ( ~class_Groups_Ocomm__monoid__add(_u17076) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u17077), _u17078)) | ( c_Nitpick_Osetsum_H(_u17077, _u17076, _u17079, _u17078) = c_Groups_Ozero__class_Ozero(_u17076)) )).
% 12.54/12.79 cnf(matrix-7179, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17080), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17081)), _u17082))) | ( hAPP(c_Random_Opick(_u17081, hAPP(hAPP(c_List_Omap(_u17081, tc_prod(tc_Code__Numeral_Ocode__numeral, _u17081)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u17081), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u17082)), hAPP(c_Code__Numeral_Oof__nat, _u17080)) = hAPP(hAPP(c_List_Onth(_u17081), _u17082), _u17080)) )).
% 12.54/12.79 cnf(matrix-7180, plain, ( ( c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral)) )).
% 12.54/12.79 cnf(matrix-7181, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17083)), hAPP(c_Code__Numeral_Oof__nat, _u17084)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17083), _u17084))) )).
% 12.54/12.79 cnf(matrix-7182, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, _u17087) != hAPP(c_Code__Numeral_Oof__nat, _u17089)) | ( _u17087 = _u17089) )).
% 12.54/12.79 cnf(matrix-7183, plain, ( ( _u17088 != _u17090) | ( hAPP(c_Code__Numeral_Oof__nat, _u17088) = hAPP(c_Code__Numeral_Oof__nat, _u17090)) )).
% 12.54/12.79 cnf(matrix-7184, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.79 cnf(matrix-7185, plain, ( ( c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat, c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.54/12.79 cnf(matrix-7186, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17093)), hAPP(c_Code__Numeral_Oof__nat, _u17095))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17093), _u17095)) )).
% 12.54/12.79 cnf(matrix-7187, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17094), _u17096)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17094)), hAPP(c_Code__Numeral_Oof__nat, _u17096))) )).
% 12.54/12.79 cnf(matrix-7188, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17097), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17098), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( hAPP(c_Code__Numeral_Oof__nat, _u17097) != hAPP(c_Code__Numeral_Oof__nat, _u17098)) | ( _u17097 = _u17098) )).
% 12.54/12.79 cnf(matrix-7189, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17097), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17098), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u17097 != _u17098) | ( hAPP(c_Code__Numeral_Oof__nat, _u17097) = hAPP(c_Code__Numeral_Oof__nat, _u17098)) )).
% 12.54/12.79 cnf(matrix-7190, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17099)), _u17100) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17101)), _u17102)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17099, _u17101), _u17099), c_Product__Type_Ofst(_u17099, _u17101)), hAPP(hAPP(c_List_Ozip(_u17099, _u17101), _u17100), _u17102)) = _u17100) )).
% 12.54/12.79 cnf(matrix-7191, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17103)), _u17104) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17105)), _u17106)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17103, _u17105), _u17105), c_Product__Type_Osnd(_u17103, _u17105)), hAPP(hAPP(c_List_Ozip(_u17103, _u17105), _u17104), _u17106)) = _u17106) )).
% 12.54/12.79 cnf(matrix-7192, plain, ( ( c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Fun_Ocomp(tc_Nat_Onat, tc_Code__Numeral_Ocode__numeral, tc_Int_Oint, c_Code__Numeral_Oof__nat), c_Int_Onat)) )).
% 12.54/12.79 cnf(matrix-7193, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17107, _u17108), hAPP(hAPP(c_List_Omap(tc_prod(_u17107, _u17108), _u17107), c_Product__Type_Ofst(_u17107, _u17108)), _u17109)), hAPP(hAPP(c_List_Omap(tc_prod(_u17107, _u17108), _u17108), c_Product__Type_Osnd(_u17107, _u17108)), _u17109)) = _u17109) )).
% 12.54/12.79 cnf(matrix-7194, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17110)), hAPP(c_Code__Numeral_Oof__nat, _u17111)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17110), _u17111))) )).
% 12.54/12.79 cnf(matrix-7195, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17114)), hAPP(c_Code__Numeral_Oof__nat, _u17116))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17114), _u17116)) )).
% 12.54/12.79 cnf(matrix-7196, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17115), _u17117)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17115)), hAPP(c_Code__Numeral_Oof__nat, _u17117))) )).
% 12.54/12.79 cnf(matrix-7197, plain, ( ( hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, hAPP(c_Code__Numeral_Oof__nat, _u17118)), hAPP(c_Code__Numeral_Oof__nat, _u17119)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17118), _u17119))) )).
% 12.54/12.79 cnf(matrix-7198, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17120), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17121), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u17121)), _u17122)))) | hBOOL(hAPP(hAPP(c_member(_u17121), hAPP(c_Random_Opick(_u17121, _u17122), _u17120)), hAPP(c_List_Oset(_u17121), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17121), _u17121), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u17121)), _u17122)))) )).
% 12.54/12.79 cnf(matrix-7199, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17123)), _u17124) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17125)), _u17126)) | ( hAPP(hAPP(c_List_Ozip(_u17123, _u17125), _u17124), _u17126) != _u17127) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17123, _u17125), _u17123), c_Product__Type_Ofst(_u17123, _u17125)), _u17127) = _u17124) )).
% 12.54/12.79 cnf(matrix-7200, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17123)), _u17124) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17125)), _u17126)) | ( hAPP(hAPP(c_List_Ozip(_u17123, _u17125), _u17124), _u17126) != _u17127) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17123, _u17125), _u17125), c_Product__Type_Osnd(_u17123, _u17125)), _u17127) = _u17126) )).
% 12.54/12.79 cnf(matrix-7201, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17123)), _u17124) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17125)), _u17126)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17123, _u17125), _u17123), c_Product__Type_Ofst(_u17123, _u17125)), _u17127) != _u17124) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17123, _u17125), _u17125), c_Product__Type_Osnd(_u17123, _u17125)), _u17127) != _u17126) | ( hAPP(hAPP(c_List_Ozip(_u17123, _u17125), _u17124), _u17126) = _u17127) )).
% 12.54/12.79 cnf(matrix-7202, plain, ( ( c_List_Olist_Olist__size(_u17128, _u17129, _u17130) = 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(_u17128, tc_Nat_Onat), _u17129), _u17130))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17128)), _u17130))) )).
% 12.54/12.79 cnf(matrix-7203, plain, ( ( _u17132 = 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)), _u17132)) )).
% 12.54/12.79 cnf(matrix-7204, 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)), _u17133)) | ( _u17133 != hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.79 cnf(matrix-7205, plain, ( ~class_Groups_Ocomm__monoid__add(_u17134) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17134), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u17134), _u17135), c_List_Oupto(_u17136, _u17137))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u17134), _u17135), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17136, _u17137)))) )).
% 12.54/12.79 cnf(matrix-7206, plain, ( ~class_Groups_Ocomm__monoid__add(_u17138) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u17138), _u17139), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17140, _u17141))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17138), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u17138), _u17139), c_List_Oupto(_u17140, _u17141)))) )).
% 12.54/12.79 cnf(matrix-7207, 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, _u17142), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u17142)), _u17143)))) | hBOOL(hAPP(hAPP(c_member(_u17142), hAPP(c_Product__Type_Ofst(_u17142, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect__weight(_u17142, _u17143), _u17144))), hAPP(c_List_Oset(_u17142), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17142), _u17142), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u17142)), _u17143)))) )).
% 12.54/12.79 cnf(matrix-7208, plain, ( ( c_Random_Oselect__weight(_u17145, _u17146) = 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(_u17145, 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, _u17145), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u17145)), _u17146)))), hAPP(hAPP(c_COMBB(_u17145, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u17145, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u17145, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random_Opick(_u17145, _u17146)))) )).
% 12.54/12.79 cnf(matrix-7209, plain, ( ( c_Random_Oselect(_u17147, _u17148) = 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(_u17147, 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(_u17147)), _u17148)))), hAPP(hAPP(c_COMBB(_u17147, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u17147, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u17147, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u17147, tc_Code__Numeral_Ocode__numeral), hAPP(c_List_Onth(_u17147), _u17148)), c_Code__Numeral_Onat__of)))) )).
% 12.54/12.79 cnf(matrix-7210, plain, ( ~class_Groups_Omonoid__add(_u17150) | ~class_Groups_Oordered__ab__semigroup__add(_u17150) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17150), hAPP(c_List_Omonoid__add__class_Olistsum(_u17150), hAPP(hAPP(c_List_Omap(_u17151, _u17150), _u17153), _u17152))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17150), hAPP(hAPP(c_List_Omap(_u17151, _u17150), _u17154), _u17152)))) | hBOOL(hAPP(hAPP(c_member(_u17151), skolem450(_u17154, _u17153, _u17152, _u17151, _u17150)), hAPP(c_List_Oset(_u17151), _u17152))) )).
% 12.54/12.79 cnf(matrix-7211, plain, ( ~class_Groups_Omonoid__add(_u17150) | ~class_Groups_Oordered__ab__semigroup__add(_u17150) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17150), hAPP(c_List_Omonoid__add__class_Olistsum(_u17150), hAPP(hAPP(c_List_Omap(_u17151, _u17150), _u17153), _u17152))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17150), hAPP(hAPP(c_List_Omap(_u17151, _u17150), _u17154), _u17152)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17150), hAPP(_u17153, skolem450(_u17154, _u17153, _u17152, _u17151, _u17150))), hAPP(_u17154, skolem450(_u17154, _u17153, _u17152, _u17151, _u17150)))) )).
% 12.54/12.79 cnf(matrix-7212, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), _u17155), _u17156) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17155)), hAPP(c_Code__Numeral_Onat__of, _u17156)))) )).
% 12.54/12.79 cnf(matrix-7213, plain, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Code__Numeral_Oof__nat, _u17157)) = _u17157) )).
% 12.54/12.79 cnf(matrix-7214, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u17158)) = _u17158) )).
% 12.54/12.79 cnf(matrix-7215, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u17159)) = _u17159) )).
% 12.54/12.79 cnf(matrix-7216, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u17162) != hAPP(c_Code__Numeral_Onat__of, _u17164)) | ( _u17162 = _u17164) )).
% 12.54/12.79 cnf(matrix-7217, plain, ( ( _u17163 != _u17165) | ( hAPP(c_Code__Numeral_Onat__of, _u17163) = hAPP(c_Code__Numeral_Onat__of, _u17165)) )).
% 12.54/12.79 cnf(matrix-7218, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u17168) != hAPP(c_Code__Numeral_Onat__of, _u17170)) | ( _u17168 = _u17170) )).
% 12.54/12.79 cnf(matrix-7219, plain, ( ( _u17169 != _u17171) | ( hAPP(c_Code__Numeral_Onat__of, _u17169) = hAPP(c_Code__Numeral_Onat__of, _u17171)) )).
% 12.54/12.79 cnf(matrix-7220, plain, ( c_Typedef_Otype__definition(tc_Code__Numeral_Ocode__numeral, tc_Nat_Onat, c_Code__Numeral_Onat__of, c_Code__Numeral_Oof__nat, c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-7221, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17174), _u17176)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17174)), hAPP(c_Code__Numeral_Onat__of, _u17176))) )).
% 12.54/12.79 cnf(matrix-7222, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17175)), hAPP(c_Code__Numeral_Onat__of, _u17177))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17175), _u17177)) )).
% 12.54/12.79 cnf(matrix-7223, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17178)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.54/12.79 cnf(matrix-7224, plain, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), _u17179)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17179)) )).
% 12.54/12.79 cnf(matrix-7225, plain, ( ( c_Code__Numeral_Oint__of = hAPP(c_Fun_Ocomp(tc_Nat_Onat, tc_Int_Oint, tc_Code__Numeral_Ocode__numeral, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), c_Code__Numeral_Onat__of)) )).
% 12.54/12.79 cnf(matrix-7226, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u17182), _u17184)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17182)), hAPP(c_Code__Numeral_Onat__of, _u17184))) )).
% 12.54/12.79 cnf(matrix-7227, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17183)), hAPP(c_Code__Numeral_Onat__of, _u17185))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u17183), _u17185)) )).
% 12.54/12.79 cnf(matrix-7228, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u17186) = c_Code__Numeral_Onat__of__aux(_u17186, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.79 cnf(matrix-7229, plain, ( ( c_Code__Numeral_Onat__of__aux(_u17187, _u17188) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17187)), _u17188)) )).
% 12.54/12.79 cnf(matrix-7230, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u17189) = hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Nat_OSuc, hAPP(c_Code__Numeral_Onat__of, _u17189)))) )).
% 12.54/12.79 cnf(matrix-7231, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u17190), _u17191) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17190)), hAPP(c_Code__Numeral_Onat__of, _u17191)))) )).
% 12.54/12.79 cnf(matrix-7232, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17192), 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, _u17192)) = _u17192) )).
% 12.54/12.79 cnf(matrix-7233, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u17193), _u17194) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17193)), hAPP(c_Code__Numeral_Onat__of, _u17194)))) )).
% 12.54/12.79 cnf(matrix-7234, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u17195), _u17196) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17195)), hAPP(c_Code__Numeral_Onat__of, _u17196)))) )).
% 12.54/12.79 cnf(matrix-7235, plain, ( ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u17197, _u17198) = hAPP(c_Code__Numeral_Oof__nat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Code__Numeral_Onat__of, _u17197), hAPP(c_Code__Numeral_Onat__of, _u17198)))) )).
% 12.54/12.79 cnf(matrix-7236, plain, ( ( _u17199 = 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, _u17199)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_Code__Numeral_Onat__of, _u17199))) )).
% 12.54/12.79 cnf(matrix-7237, plain, ( ( hAPP(c_New__DSequence_Opos__not__seq(_u17200), _u17201) = c_Lazy__Sequence_Ohb__not__seq(hAPP(_u17200, 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)))), _u17201)))) )).
% 12.54/12.79 cnf(matrix-7238, plain, ( ( c_List_Opartition(_u17202, _u17203, _u17204) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17202), tc_List_Olist(_u17202)), _u17205), _u17206)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17202, tc_HOL_Obool)), hAPP(c_List_Oset(_u17202), _u17205)), hAPP(c_List_Oset(_u17202), _u17206)) = hAPP(c_List_Oset(_u17202), _u17204)) )).
% 12.54/12.79 cnf(matrix-7239, plain, ( ( c_List_Opartition(_u17209, _u17210, _u17211) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17209), tc_List_Olist(_u17209)), _u17212), _u17213)) | ~hBOOL(hAPP(hAPP(c_member(_u17209), _u17207), hAPP(c_List_Oset(_u17209), _u17212))) | hBOOL(hAPP(_u17210, _u17207)) )).
% 12.54/12.79 cnf(matrix-7240, plain, ( ( c_List_Opartition(_u17209, _u17210, _u17211) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17209), tc_List_Olist(_u17209)), _u17212), _u17213)) | ~hBOOL(hAPP(hAPP(c_member(_u17209), _u17208), hAPP(c_List_Oset(_u17209), _u17213))) | ~hBOOL(hAPP(_u17210, _u17208)) )).
% 12.54/12.79 cnf(matrix-7241, plain, ( ( c_List_Opartition(_u17214, _u17215, c_List_Olist_ONil(_u17214)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17214), tc_List_Olist(_u17214)), c_List_Olist_ONil(_u17214)), c_List_Olist_ONil(_u17214))) )).
% 12.54/12.79 cnf(matrix-7242, plain, ( ( c_List_Opartition(_u17216, _u17217, hAPP(hAPP(c_List_Olist_OCons(_u17216), _u17218), _u17219)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17216), tc_List_Olist(_u17216), tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17216), tc_fun(tc_List_Olist(_u17216), tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216))), tc_fun(tc_List_Olist(_u17216), tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17216), tc_fun(tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216)), tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216)))), tc_fun(tc_fun(tc_List_Olist(_u17216), tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216))), tc_fun(tc_List_Olist(_u17216), tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216)))), tc_List_Olist(_u17216)), c_COMBS(tc_List_Olist(_u17216), tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216)), tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17216), tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216))), tc_fun(tc_List_Olist(_u17216), tc_fun(tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216)), tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216)))), tc_List_Olist(_u17216)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216)), tc_fun(tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216)), tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216))), tc_List_Olist(_u17216)), hAPP(c_If(tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216))), hAPP(_u17217, _u17218)))), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17216), tc_fun(tc_List_Olist(_u17216), tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216))), tc_List_Olist(_u17216)), c_Product__Type_OPair(tc_List_Olist(_u17216), tc_List_Olist(_u17216))), hAPP(c_List_Olist_OCons(_u17216), _u17218))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17216), tc_fun(tc_List_Olist(_u17216), tc_List_Olist(_u17216)), tc_fun(tc_List_Olist(_u17216), tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17216), tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216))), tc_fun(tc_fun(tc_List_Olist(_u17216), tc_List_Olist(_u17216)), tc_fun(tc_List_Olist(_u17216), tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216)))), tc_List_Olist(_u17216)), c_COMBB(tc_List_Olist(_u17216), tc_prod(tc_List_Olist(_u17216), tc_List_Olist(_u17216)), tc_List_Olist(_u17216))), c_Product__Type_OPair(tc_List_Olist(_u17216), tc_List_Olist(_u17216)))), hAPP(c_List_Olist_OCons(_u17216), _u17218)))), c_List_Opartition(_u17216, _u17217, _u17219))) )).
% 12.54/12.79 cnf(matrix-7243, plain, ( ( c_List_Olistsp(_u17220, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17220, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u17220, tc_fun(_u17220, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17220)), _u17221)), hAPP(hAPP(c_COMBC(_u17220, tc_fun(_u17220, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17220)), _u17222))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u17220), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17220), tc_fun(tc_List_Olist(_u17220), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u17220))), c_List_Olists(_u17220, _u17221))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17220), tc_fun(tc_List_Olist(_u17220), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u17220))), c_List_Olists(_u17220, _u17222)))) )).
% 12.54/12.79 cnf(matrix-7244, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17223)), _u17224), c_List_Olists(_u17223, _u17225))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17223)), _u17224), c_List_Olists(_u17223, _u17226))) | hBOOL(hAPP(c_List_Olistsp(_u17223, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17223, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u17223, tc_fun(_u17223, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17223)), _u17225)), hAPP(hAPP(c_COMBC(_u17223, tc_fun(_u17223, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17223)), _u17226))), _u17224)) )).
% 12.54/12.79 cnf(matrix-7245, plain, ( hBOOL(hAPP(c_List_Olistsp(_u17227, _u17228), c_List_Olist_ONil(_u17227))) )).
% 12.54/12.79 cnf(matrix-7246, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17233, _u17235), hAPP(hAPP(c_List_Oappend(_u17233), _u17237), _u17239))) | hBOOL(hAPP(c_List_Olistsp(_u17233, _u17235), _u17237)) )).
% 12.54/12.79 cnf(matrix-7247, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17233, _u17235), hAPP(hAPP(c_List_Oappend(_u17233), _u17237), _u17239))) | hBOOL(hAPP(c_List_Olistsp(_u17233, _u17235), _u17239)) )).
% 12.54/12.79 cnf(matrix-7248, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17234, _u17236), _u17238)) | ~hBOOL(hAPP(c_List_Olistsp(_u17234, _u17236), _u17240)) | hBOOL(hAPP(c_List_Olistsp(_u17234, _u17236), hAPP(hAPP(c_List_Oappend(_u17234), _u17238), _u17240))) )).
% 12.54/12.79 cnf(matrix-7249, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17245, _u17247), hAPP(hAPP(c_List_Olist_OCons(_u17245), _u17249), _u17251))) | hBOOL(hAPP(_u17247, _u17249)) )).
% 12.54/12.79 cnf(matrix-7250, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17245, _u17247), hAPP(hAPP(c_List_Olist_OCons(_u17245), _u17249), _u17251))) | hBOOL(hAPP(c_List_Olistsp(_u17245, _u17247), _u17251)) )).
% 12.54/12.79 cnf(matrix-7251, plain, ( ~hBOOL(hAPP(_u17248, _u17250)) | ~hBOOL(hAPP(c_List_Olistsp(_u17246, _u17248), _u17252)) | hBOOL(hAPP(c_List_Olistsp(_u17246, _u17248), hAPP(hAPP(c_List_Olist_OCons(_u17246), _u17250), _u17252))) )).
% 12.54/12.79 cnf(matrix-7252, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17253, _u17254), _u17255)) | ~hBOOL(hAPP(c_List_Olistsp(_u17253, _u17256), _u17255)) | hBOOL(hAPP(c_List_Olistsp(_u17253, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17253, tc_HOL_Obool)), _u17254), _u17256)), _u17255)) )).
% 12.54/12.79 cnf(matrix-7253, plain, ( ( c_List_Olistsp(_u17257, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17257, tc_HOL_Obool)), _u17258), _u17259)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u17257), tc_HOL_Obool)), c_List_Olistsp(_u17257, _u17258)), c_List_Olistsp(_u17257, _u17259))) )).
% 12.54/12.79 cnf(matrix-7254, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17264, hAPP(hAPP(c_COMBS(_u17264, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17264), c_fconj), _u17266)), _u17268)), _u17270)) | hBOOL(hAPP(c_List_Olistsp(_u17264, _u17266), _u17270)) )).
% 12.54/12.79 cnf(matrix-7255, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17264, hAPP(hAPP(c_COMBS(_u17264, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17264), c_fconj), _u17266)), _u17268)), _u17270)) | hBOOL(hAPP(c_List_Olistsp(_u17264, _u17268), _u17270)) )).
% 12.54/12.79 cnf(matrix-7256, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17265, _u17267), _u17271)) | ~hBOOL(hAPP(c_List_Olistsp(_u17265, _u17269), _u17271)) | hBOOL(hAPP(c_List_Olistsp(_u17265, hAPP(hAPP(c_COMBS(_u17265, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17265), c_fconj), _u17267)), _u17269)), _u17271)) )).
% 12.54/12.79 cnf(matrix-7257, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17277, _u17279), _u17281)) | ~hBOOL(hAPP(hAPP(c_member(_u17277), _u17272), hAPP(c_List_Oset(_u17277), _u17281))) | hBOOL(hAPP(_u17279, _u17272)) )).
% 12.54/12.79 cnf(matrix-7258, plain, ( hBOOL(hAPP(c_List_Olistsp(_u17278, _u17280), _u17282)) | hBOOL(hAPP(hAPP(c_member(_u17278), skolem451(_u17282, _u17280, _u17278)), hAPP(c_List_Oset(_u17278), _u17282))) )).
% 12.54/12.79 cnf(matrix-7259, plain, ( hBOOL(hAPP(c_List_Olistsp(_u17278, _u17280), _u17282)) | ~hBOOL(hAPP(_u17280, skolem451(_u17282, _u17280, _u17278))) )).
% 12.54/12.79 cnf(matrix-7260, plain, ( hBOOL(hAPP(c_List_Olistsp(_u17283, _u17284), c_List_Olist_ONil(_u17283))) )).
% 12.54/12.79 cnf(matrix-7261, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17285, tc_HOL_Obool)), _u17286), _u17287)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u17285), tc_HOL_Obool)), c_List_Olistsp(_u17285, _u17286)), c_List_Olistsp(_u17285, _u17287))) )).
% 12.54/12.79 cnf(matrix-7262, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17291, hAPP(hAPP(c_COMBC(_u17291, tc_fun(_u17291, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17291)), _u17293)), _u17295)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17291)), _u17295), c_List_Olists(_u17291, _u17293))) )).
% 12.54/12.79 cnf(matrix-7263, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17292)), _u17296), c_List_Olists(_u17292, _u17294))) | hBOOL(hAPP(c_List_Olistsp(_u17292, hAPP(hAPP(c_COMBC(_u17292, tc_fun(_u17292, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17292)), _u17294)), _u17296)) )).
% 12.54/12.79 cnf(matrix-7264, plain, ( ( c_Enum_Oproduct(_u17297, _u17298, hAPP(hAPP(c_List_Olist_OCons(_u17297), _u17299), _u17300), _u17301) = hAPP(hAPP(c_List_Oappend(tc_prod(_u17297, _u17298)), hAPP(hAPP(c_List_Omap(_u17298, tc_prod(_u17297, _u17298)), hAPP(c_Product__Type_OPair(_u17297, _u17298), _u17299)), _u17301)), c_Enum_Oproduct(_u17297, _u17298, _u17300, _u17301))) )).
% 12.54/12.79 cnf(matrix-7265, plain, ( ~c_List_Olist__all2(_u17309, _u17311, _u17313, _u17315, _u17317) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17309)), _u17315) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17311)), _u17317)) )).
% 12.54/12.79 cnf(matrix-7266, plain, ( ~c_List_Olist__all2(_u17309, _u17311, _u17313, _u17315, _u17317) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17309, _u17311)), _u17302), hAPP(c_List_Oset(tc_prod(_u17309, _u17311)), hAPP(hAPP(c_List_Ozip(_u17309, _u17311), _u17315), _u17317)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17309, _u17311, tc_HOL_Obool), _u17313), _u17302)) )).
% 12.54/12.79 cnf(matrix-7267, plain, ( c_List_Olist__all2(_u17310, _u17312, _u17314, _u17316, _u17318) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17310)), _u17316) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17312)), _u17318)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17310, _u17312)), skolem452(_u17318, _u17316, _u17314, _u17312, _u17310)), hAPP(c_List_Oset(tc_prod(_u17310, _u17312)), hAPP(hAPP(c_List_Ozip(_u17310, _u17312), _u17316), _u17318)))) )).
% 12.54/12.79 cnf(matrix-7268, plain, ( c_List_Olist__all2(_u17310, _u17312, _u17314, _u17316, _u17318) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17310)), _u17316) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17312)), _u17318)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17310, _u17312, tc_HOL_Obool), _u17314), skolem452(_u17318, _u17316, _u17314, _u17312, _u17310))) )).
% 12.54/12.79 cnf(matrix-7269, plain, ( ~c_List_Olist__all2(_u17326, _u17328, _u17330, hAPP(hAPP(c_List_Omap(_u17332, _u17326), _u17334), _u17336), _u17338) | c_List_Olist__all2(_u17332, _u17328, hAPP(hAPP(c_COMBB(_u17326, tc_fun(_u17328, tc_HOL_Obool), _u17332), _u17330), _u17334), _u17336, _u17338) )).
% 12.54/12.79 cnf(matrix-7270, plain, ( ~c_List_Olist__all2(_u17333, _u17329, hAPP(hAPP(c_COMBB(_u17327, tc_fun(_u17329, tc_HOL_Obool), _u17333), _u17331), _u17335), _u17337, _u17339) | c_List_Olist__all2(_u17327, _u17329, _u17331, hAPP(hAPP(c_List_Omap(_u17333, _u17327), _u17335), _u17337), _u17339) )).
% 12.54/12.79 cnf(matrix-7271, plain, ( ~c_List_Olist__all2(_u17347, _u17349, _u17351, _u17353, hAPP(hAPP(c_List_Omap(_u17355, _u17349), _u17357), _u17359)) | c_List_Olist__all2(_u17347, _u17355, hAPP(hAPP(c_COMBC(_u17347, tc_fun(_u17355, _u17349), tc_fun(_u17355, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17349, tc_HOL_Obool), tc_fun(tc_fun(_u17355, _u17349), tc_fun(_u17355, tc_HOL_Obool)), _u17347), c_COMBB(_u17349, tc_HOL_Obool, _u17355)), _u17351)), _u17357), _u17353, _u17359) )).
% 12.54/12.79 cnf(matrix-7272, plain, ( ~c_List_Olist__all2(_u17348, _u17356, hAPP(hAPP(c_COMBC(_u17348, tc_fun(_u17356, _u17350), tc_fun(_u17356, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17350, tc_HOL_Obool), tc_fun(tc_fun(_u17356, _u17350), tc_fun(_u17356, tc_HOL_Obool)), _u17348), c_COMBB(_u17350, tc_HOL_Obool, _u17356)), _u17352)), _u17358), _u17354, _u17360) | c_List_Olist__all2(_u17348, _u17350, _u17352, _u17354, hAPP(hAPP(c_List_Omap(_u17356, _u17350), _u17358), _u17360)) )).
% 12.54/12.79 cnf(matrix-7273, plain, ( ~c_List_Olist__all2(_u17365, _u17367, _u17369, _u17371, c_List_Olist_ONil(_u17367)) | ( _u17371 = c_List_Olist_ONil(_u17365)) )).
% 12.54/12.79 cnf(matrix-7274, plain, ( ( _u17372 != c_List_Olist_ONil(_u17366)) | c_List_Olist__all2(_u17366, _u17368, _u17370, _u17372, c_List_Olist_ONil(_u17368)) )).
% 12.54/12.79 cnf(matrix-7275, plain, ( ( _u17383 = c_List_Olist_ONil(_u17379)) | ~c_List_Olist__all2(_u17377, _u17379, _u17381, c_List_Olist_ONil(_u17377), _u17383) )).
% 12.54/12.79 cnf(matrix-7276, plain, ( ( _u17384 != c_List_Olist_ONil(_u17380)) | c_List_Olist__all2(_u17378, _u17380, _u17382, c_List_Olist_ONil(_u17378), _u17384) )).
% 12.54/12.79 cnf(matrix-7277, plain, ( ~c_List_Olist__all2(_u17385, _u17386, _u17387, _u17388, _u17389) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17385)), _u17388) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17386)), _u17389)) )).
% 12.54/12.79 cnf(matrix-7278, plain, ( ( _u17393 != _u17395) | c_List_Olist__all2(_u17397, _u17397, c_fequal, _u17393, _u17395) )).
% 12.54/12.79 cnf(matrix-7279, plain, ( ~c_List_Olist__all2(_u17398, _u17398, c_fequal, _u17394, _u17396) | ( _u17394 = _u17396) )).
% 12.54/12.79 cnf(matrix-7280, plain, ( ~c_List_Olist__all2(_u17399, _u17400, _u17401, _u17402, _u17403) | c_List_Olist__all2(_u17399, _u17400, _u17401, hAPP(hAPP(c_List_Otake(_u17399), _u17404), _u17402), hAPP(hAPP(c_List_Otake(_u17400), _u17404), _u17403)) )).
% 12.54/12.79 cnf(matrix-7281, plain, ( ~c_List_Olist__all2(_u17412, _u17414, _u17416, hAPP(hAPP(c_List_Olist_OCons(_u17412), _u17418), _u17420), hAPP(hAPP(c_List_Olist_OCons(_u17414), _u17422), _u17424)) | hBOOL(hAPP(hAPP(_u17416, _u17418), _u17422)) )).
% 12.54/12.79 cnf(matrix-7282, plain, ( ~c_List_Olist__all2(_u17412, _u17414, _u17416, hAPP(hAPP(c_List_Olist_OCons(_u17412), _u17418), _u17420), hAPP(hAPP(c_List_Olist_OCons(_u17414), _u17422), _u17424)) | c_List_Olist__all2(_u17412, _u17414, _u17416, _u17420, _u17424) )).
% 12.54/12.79 cnf(matrix-7283, plain, ( ~hBOOL(hAPP(hAPP(_u17417, _u17419), _u17423)) | ~c_List_Olist__all2(_u17413, _u17415, _u17417, _u17421, _u17425) | c_List_Olist__all2(_u17413, _u17415, _u17417, hAPP(hAPP(c_List_Olist_OCons(_u17413), _u17419), _u17421), hAPP(hAPP(c_List_Olist_OCons(_u17415), _u17423), _u17425)) )).
% 12.54/12.79 cnf(matrix-7284, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17426)), _u17427) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17428)), _u17429)) | ~c_List_Olist__all2(_u17426, _u17428, _u17430, hAPP(hAPP(c_List_Oappend(_u17426), _u17427), _u17431), hAPP(hAPP(c_List_Oappend(_u17428), _u17429), _u17432)) | c_List_Olist__all2(_u17426, _u17428, _u17430, _u17427, _u17429) )).
% 12.54/12.79 cnf(matrix-7285, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17426)), _u17427) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17428)), _u17429)) | ~c_List_Olist__all2(_u17426, _u17428, _u17430, hAPP(hAPP(c_List_Oappend(_u17426), _u17427), _u17431), hAPP(hAPP(c_List_Oappend(_u17428), _u17429), _u17432)) | c_List_Olist__all2(_u17426, _u17428, _u17430, _u17431, _u17432) )).
% 12.54/12.79 cnf(matrix-7286, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17426)), _u17427) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17428)), _u17429)) | ~c_List_Olist__all2(_u17426, _u17428, _u17430, _u17427, _u17429) | ~c_List_Olist__all2(_u17426, _u17428, _u17430, _u17431, _u17432) | c_List_Olist__all2(_u17426, _u17428, _u17430, hAPP(hAPP(c_List_Oappend(_u17426), _u17427), _u17431), hAPP(hAPP(c_List_Oappend(_u17428), _u17429), _u17432)) )).
% 12.54/12.79 cnf(matrix-7287, plain, ( ~c_List_Olist__all2(_u17433, _u17434, _u17435, _u17436, _u17437) | ~c_List_Olist__all2(_u17433, _u17434, _u17435, _u17438, _u17439) | c_List_Olist__all2(_u17433, _u17434, _u17435, hAPP(hAPP(c_List_Oappend(_u17433), _u17436), _u17438), hAPP(hAPP(c_List_Oappend(_u17434), _u17437), _u17439)) )).
% 12.54/12.79 cnf(matrix-7288, plain, ( ~c_List_Olist__all2(_u17440, _u17441, _u17442, _u17443, _u17444) | c_List_Olist__all2(_u17440, _u17441, _u17442, hAPP(hAPP(c_List_Odrop(_u17440), _u17445), _u17443), hAPP(hAPP(c_List_Odrop(_u17441), _u17445), _u17444)) )).
% 12.54/12.79 cnf(matrix-7289, plain, ( ( c_Enum_Oproduct(_u17446, _u17447, c_List_Olist_ONil(_u17446), _u17448) = c_List_Olist_ONil(tc_prod(_u17446, _u17447))) )).
% 12.54/12.79 cnf(matrix-7290, plain, ( ~c_List_Olist__all2(_u17456, _u17458, _u17460, _u17462, _u17464) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17456)), _u17462) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17458)), _u17464)) )).
% 12.54/12.79 cnf(matrix-7291, plain, ( ~c_List_Olist__all2(_u17456, _u17458, _u17460, _u17462, _u17464) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17449), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17456)), _u17462))) | hBOOL(hAPP(hAPP(_u17460, hAPP(hAPP(c_List_Onth(_u17456), _u17462), _u17449)), hAPP(hAPP(c_List_Onth(_u17458), _u17464), _u17449))) )).
% 12.54/12.79 cnf(matrix-7292, plain, ( c_List_Olist__all2(_u17457, _u17459, _u17461, _u17463, _u17465) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17457)), _u17463) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17459)), _u17465)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem453(_u17465, _u17463, _u17461, _u17459, _u17457)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17457)), _u17463))) )).
% 12.54/12.79 cnf(matrix-7293, plain, ( c_List_Olist__all2(_u17457, _u17459, _u17461, _u17463, _u17465) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17457)), _u17463) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17459)), _u17465)) | ~hBOOL(hAPP(hAPP(_u17461, hAPP(hAPP(c_List_Onth(_u17457), _u17463), skolem453(_u17465, _u17463, _u17461, _u17459, _u17457))), hAPP(hAPP(c_List_Onth(_u17459), _u17465), skolem453(_u17465, _u17463, _u17461, _u17459, _u17457)))) )).
% 12.54/12.79 cnf(matrix-7294, plain, ( ~c_List_Olist__all2(_u17466, _u17467, _u17468, _u17469, _u17470) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17471), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17466)), _u17469))) | hBOOL(hAPP(hAPP(_u17468, hAPP(hAPP(c_List_Onth(_u17466), _u17469), _u17471)), hAPP(hAPP(c_List_Onth(_u17467), _u17470), _u17471))) )).
% 12.54/12.79 cnf(matrix-7295, plain, ( ~c_List_Olist__all2(_u17472, _u17473, _u17474, _u17475, _u17476) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17477), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17473)), _u17476))) | hBOOL(hAPP(hAPP(_u17474, hAPP(hAPP(c_List_Onth(_u17472), _u17475), _u17477)), hAPP(hAPP(c_List_Onth(_u17473), _u17476), _u17477))) )).
% 12.54/12.79 cnf(matrix-7296, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17478), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17479)), _u17480))) | ~c_List_Olist__all2(_u17479, _u17481, _u17482, _u17480, _u17483) | ~hBOOL(hAPP(hAPP(_u17482, _u17484), _u17485)) | c_List_Olist__all2(_u17479, _u17481, _u17482, hAPP(hAPP(c_List_Olist__update(_u17479, _u17480), _u17478), _u17484), hAPP(hAPP(c_List_Olist__update(_u17481, _u17483), _u17478), _u17485)) )).
% 12.54/12.79 cnf(matrix-7297, plain, ( ~c_List_Olist__all2(_u17486, _u17487, _u17488, _u17489, _u17490) | ~hBOOL(hAPP(hAPP(_u17488, _u17491), _u17492)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17493), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17487)), _u17490))) | c_List_Olist__all2(_u17486, _u17487, _u17488, hAPP(hAPP(c_List_Olist__update(_u17486, _u17489), _u17493), _u17491), hAPP(hAPP(c_List_Olist__update(_u17487, _u17490), _u17493), _u17492)) )).
% 12.54/12.79 cnf(matrix-7298, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17494), _u17495)) | ~hBOOL(hAPP(c_List_Odistinct(_u17496), _u17497)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u17494, _u17496)), c_Enum_Oproduct(_u17494, _u17496, _u17495, _u17497))) )).
% 12.54/12.79 cnf(matrix-7299, plain, ( ( hAPP(c_List_Oset(tc_prod(_u17498, _u17499)), c_Enum_Oproduct(_u17498, _u17499, _u17500, _u17501)) = hAPP(hAPP(c_Product__Type_OSigma(_u17498, _u17499), hAPP(c_List_Oset(_u17498), _u17500)), hAPP(c_COMBK(tc_fun(_u17499, tc_HOL_Obool), _u17498), hAPP(c_List_Oset(_u17499), _u17501)))) )).
% 12.54/12.79 cnf(matrix-7300, plain, ( ( hAPP(c_Set_Oimage(tc_List_Olist(_u17502), tc_fun(_u17502, tc_HOL_Obool), c_List_Oset(_u17502)), hAPP(c_List_Oset(tc_List_Olist(_u17502)), c_Enum_Osublists(_u17502, _u17503))) = hAPP(c_Set_OPow(_u17502), hAPP(c_List_Oset(_u17502), _u17503))) )).
% 12.54/12.79 cnf(matrix-7301, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17504))), c_Enum_Osublists(_u17504, _u17505)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17504)), _u17505))) )).
% 12.54/12.79 cnf(matrix-7302, plain, ( ( c_Enum_Osublists(_u17506, c_List_Olist_ONil(_u17506)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17506)), c_List_Olist_ONil(_u17506)), c_List_Olist_ONil(tc_List_Olist(_u17506)))) )).
% 12.54/12.79 cnf(matrix-7303, plain, ( ( c_Enum_Osublists(_u17507, hAPP(hAPP(c_List_Olist_OCons(_u17507), _u17508), _u17509)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(_u17507)), tc_List_Olist(tc_List_Olist(_u17507))), c_Enum_Osublists(_u17507, _u17509)), hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(_u17507)), tc_List_Olist(tc_List_Olist(_u17507)), tc_List_Olist(tc_List_Olist(_u17507))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(_u17507)), tc_fun(tc_List_Olist(tc_List_Olist(_u17507)), tc_List_Olist(tc_List_Olist(_u17507))), tc_List_Olist(tc_List_Olist(_u17507))), c_List_Oappend(tc_List_Olist(_u17507))), hAPP(c_List_Omap(tc_List_Olist(_u17507), tc_List_Olist(_u17507)), hAPP(c_List_Olist_OCons(_u17507), _u17508)))), c_COMBI(tc_List_Olist(tc_List_Olist(_u17507)))))) )).
% 12.54/12.79 cnf(matrix-7304, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17510), _u17511)) | hBOOL(hAPP(c_List_Odistinct(tc_fun(_u17510, tc_HOL_Obool)), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17510), tc_fun(_u17510, tc_HOL_Obool)), c_List_Oset(_u17510)), c_Enum_Osublists(_u17510, _u17511)))) )).
% 12.54/12.79 cnf(matrix-7305, plain, ( ( hAPP(c_List_Oset(tc_List_Olist(_u17512)), c_Enum_On__lists(_u17512, _u17513, _u17514)) = hAPP(c_Set_OCollect(tc_List_Olist(_u17512)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17512), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17512)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17512), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17512)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17512)))), _u17513))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17512), tc_fun(_u17512, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u17512, tc_HOL_Obool), tc_fun(tc_fun(_u17512, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u17512)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u17512, tc_HOL_Obool))), c_List_Oset(_u17512))), hAPP(c_List_Oset(_u17512), _u17514))))) )).
% 12.54/12.79 cnf(matrix-7306, plain, ( ( c_Enum_Oenum__the(_u17515, _u17516) = c_HOL_OThe(_u17515, _u17516)) )).
% 12.54/12.79 cnf(matrix-7307, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17517), _u17518)) | hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u17517)), c_Enum_On__lists(_u17517, _u17519, _u17518))) )).
% 12.54/12.79 cnf(matrix-7308, plain, ( ( c_Enum_On__lists(_u17520, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u17521) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17520)), c_List_Olist_ONil(_u17520)), c_List_Olist_ONil(tc_List_Olist(_u17520)))) )).
% 12.54/12.79 cnf(matrix-7309, plain, ( ( _u17524 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u17526, _u17524, c_List_Olist_ONil(_u17526)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17526)), c_List_Olist_ONil(_u17526)), c_List_Olist_ONil(tc_List_Olist(_u17526)))) )).
% 12.54/12.79 cnf(matrix-7310, plain, ( ( _u17525 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u17527, _u17525, c_List_Olist_ONil(_u17527)) = c_List_Olist_ONil(tc_List_Olist(_u17527))) )).
% 12.54/12.79 cnf(matrix-7311, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17528))), c_Enum_On__lists(_u17528, _u17529, _u17530)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17528)), _u17530)), _u17529)) )).
% 12.54/12.79 cnf(matrix-7312, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17531)), _u17532), hAPP(c_List_Oset(tc_List_Olist(_u17531)), c_Enum_On__lists(_u17531, _u17533, _u17534)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17531)), _u17532) = _u17533) )).
% 12.54/12.79 cnf(matrix-7313, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17536)), _u17538) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17537)), _u17539)) | c_List_Olist__all2(_u17536, _u17537, _u17540, _u17538, _u17539) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17536, _u17537)), skolem454(_u17540, _u17539, _u17538, _u17537, _u17536)), hAPP(c_List_Oset(tc_prod(_u17536, _u17537)), hAPP(hAPP(c_List_Ozip(_u17536, _u17537), _u17538), _u17539)))) )).
% 12.54/12.79 cnf(matrix-7314, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17536)), _u17538) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17537)), _u17539)) | c_List_Olist__all2(_u17536, _u17537, _u17540, _u17538, _u17539) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17536, _u17537, tc_HOL_Obool), _u17540), skolem454(_u17540, _u17539, _u17538, _u17537, _u17536))) )).
% 12.54/12.79 cnf(matrix-7315, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17542), _u17545), hAPP(c_List_Oset(_u17542), _u17543))) | hBOOL(hAPP(_u17544, _u17545)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem455(_u17545, _u17544, _u17543, _u17542)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17542)), _u17543))) )).
% 12.54/12.79 cnf(matrix-7316, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17542), _u17545), hAPP(c_List_Oset(_u17542), _u17543))) | hBOOL(hAPP(_u17544, _u17545)) | ~hBOOL(hAPP(_u17544, hAPP(hAPP(c_List_Onth(_u17542), _u17543), skolem455(_u17545, _u17544, _u17543, _u17542)))) )).
% 12.54/12.79 cnf(matrix-7317, plain, ( ~c_Finite__Set_Ofun__left__comm(_u17546, _u17547, _u17548) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u17546, _u17547, _u17548), _u17549), hAPP(c_List_Oset(_u17546), _u17550)) = hAPP(c_List_Ofoldl(_u17547, _u17546, hAPP(c_COMBC(_u17546, _u17547, _u17547), _u17548), _u17549), c_List_Oremdups(_u17546, _u17550))) )).
% 12.54/12.79 cnf(matrix-7318, plain, ( ~c_Fun_Oinj__on(_u17551, _u17552, _u17553, hAPP(hAPP(c_Set_Oinsert(_u17551), _u17554), hAPP(c_List_Oset(_u17551), _u17555))) | ( hAPP(hAPP(c_List_Omap(_u17551, _u17552), _u17553), hAPP(c_List_OremoveAll(_u17551, _u17554), _u17555)) = hAPP(c_List_OremoveAll(_u17552, hAPP(_u17553, _u17554)), hAPP(hAPP(c_List_Omap(_u17551, _u17552), _u17553), _u17555))) )).
% 12.54/12.79 cnf(matrix-7319, plain, ( hBOOL(hAPP(c_List_Odistinct(_u17556), c_List_Oremdups(_u17556, _u17557))) )).
% 12.54/12.79 cnf(matrix-7320, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17558)), c_List_Oremdups(_u17558, _u17559))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17558)), _u17559))) )).
% 12.54/12.79 cnf(matrix-7321, plain, ( ( c_List_Oremdups(_u17562, _u17564) != _u17564) | hBOOL(hAPP(c_List_Odistinct(_u17562), _u17564)) )).
% 12.54/12.79 cnf(matrix-7322, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17563), _u17565)) | ( c_List_Oremdups(_u17563, _u17565) = _u17565) )).
% 12.54/12.79 cnf(matrix-7323, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17566), _u17567)) | hBOOL(hAPP(c_List_Odistinct(_u17566), hAPP(c_List_OremoveAll(_u17566, _u17568), _u17567))) )).
% 12.54/12.79 cnf(matrix-7324, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17569), _u17570)) | ( c_List_Oremdups(_u17569, _u17570) = _u17570) )).
% 12.54/12.79 cnf(matrix-7325, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17573)), c_List_Oremdups(_u17573, _u17575)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17573)), _u17575)) | ( c_List_Oremdups(_u17573, _u17575) = _u17575) )).
% 12.54/12.79 cnf(matrix-7326, plain, ( ( c_List_Oremdups(_u17574, _u17576) != _u17576) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17574)), c_List_Oremdups(_u17574, _u17576)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17574)), _u17576)) )).
% 12.54/12.79 cnf(matrix-7327, plain, ( ( hAPP(c_List_Oset(_u17577), c_List_Oremdups(_u17577, _u17578)) = hAPP(c_List_Oset(_u17577), _u17578)) )).
% 12.54/12.79 cnf(matrix-7328, plain, ( ( c_List_Oremdups(_u17579, c_List_Oremdups(_u17579, _u17580)) = c_List_Oremdups(_u17579, _u17580)) )).
% 12.54/12.79 cnf(matrix-7329, plain, ( ( hAPP(c_List_OremoveAll(_u17581, _u17582), hAPP(hAPP(c_List_Oappend(_u17581), _u17583), _u17584)) = hAPP(hAPP(c_List_Oappend(_u17581), hAPP(c_List_OremoveAll(_u17581, _u17582), _u17583)), hAPP(c_List_OremoveAll(_u17581, _u17582), _u17584))) )).
% 12.54/12.79 cnf(matrix-7330, plain, ( ( _u17589 != _u17591) | ( hAPP(c_List_OremoveAll(_u17593, _u17589), hAPP(hAPP(c_List_Olist_OCons(_u17593), _u17591), _u17595)) = hAPP(c_List_OremoveAll(_u17593, _u17589), _u17595)) )).
% 12.54/12.79 cnf(matrix-7331, plain, ( ( _u17590 = _u17592) | ( hAPP(c_List_OremoveAll(_u17594, _u17590), hAPP(hAPP(c_List_Olist_OCons(_u17594), _u17592), _u17596)) = hAPP(hAPP(c_List_Olist_OCons(_u17594), _u17592), hAPP(c_List_OremoveAll(_u17594, _u17590), _u17596))) )).
% 12.54/12.79 cnf(matrix-7332, plain, ( ( c_List_Oremdups(_u17597, c_List_Olist_ONil(_u17597)) = c_List_Olist_ONil(_u17597)) )).
% 12.54/12.79 cnf(matrix-7333, plain, ( ( c_List_Olist_ONil(_u17600) != c_List_Oremdups(_u17600, _u17602)) | ( _u17602 = c_List_Olist_ONil(_u17600)) )).
% 12.54/12.79 cnf(matrix-7334, plain, ( ( _u17603 != c_List_Olist_ONil(_u17601)) | ( c_List_Olist_ONil(_u17601) = c_List_Oremdups(_u17601, _u17603)) )).
% 12.54/12.79 cnf(matrix-7335, plain, ( ( hAPP(c_List_OremoveAll(_u17604, _u17605), c_List_Olist_ONil(_u17604)) = c_List_Olist_ONil(_u17604)) )).
% 12.54/12.79 cnf(matrix-7336, plain, ( ( c_List_Oremdups(_u17608, _u17610) != c_List_Olist_ONil(_u17608)) | ( _u17610 = c_List_Olist_ONil(_u17608)) )).
% 12.54/12.79 cnf(matrix-7337, plain, ( ( _u17611 != c_List_Olist_ONil(_u17609)) | ( c_List_Oremdups(_u17609, _u17611) = c_List_Olist_ONil(_u17609)) )).
% 12.54/12.79 cnf(matrix-7338, plain, ( ( c_List_Oremdups(_u17612, hAPP(hAPP(c_List_Omap(_u17613, _u17612), _u17614), c_List_Oremdups(_u17613, _u17615))) = c_List_Oremdups(_u17612, hAPP(hAPP(c_List_Omap(_u17613, _u17612), _u17614), _u17615))) )).
% 12.54/12.79 cnf(matrix-7339, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17616), _u17617)) | ( c_List_Oremove1(_u17616, _u17618, c_List_Oremdups(_u17616, _u17617)) = c_List_Oremdups(_u17616, c_List_Oremove1(_u17616, _u17618, _u17617))) )).
% 12.54/12.79 cnf(matrix-7340, plain, ( hBOOL(hAPP(hAPP(c_member(_u17619), _u17620), hAPP(c_List_Oset(_u17619), _u17621))) | ( hAPP(c_List_OremoveAll(_u17619, _u17620), _u17621) = _u17621) )).
% 12.54/12.79 cnf(matrix-7341, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17622), _u17623)) | ( c_List_Oremove1(_u17622, _u17624, _u17623) = hAPP(c_List_OremoveAll(_u17622, _u17624), _u17623)) )).
% 12.54/12.79 cnf(matrix-7342, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17628), _u17630), hAPP(c_List_Oset(_u17628), _u17632))) | ( c_List_Oremdups(_u17628, hAPP(hAPP(c_List_Olist_OCons(_u17628), _u17630), _u17632)) = c_List_Oremdups(_u17628, _u17632)) )).
% 12.54/12.79 cnf(matrix-7343, plain, ( hBOOL(hAPP(hAPP(c_member(_u17629), _u17631), hAPP(c_List_Oset(_u17629), _u17633))) | ( c_List_Oremdups(_u17629, hAPP(hAPP(c_List_Olist_OCons(_u17629), _u17631), _u17633)) = hAPP(hAPP(c_List_Olist_OCons(_u17629), _u17631), c_List_Oremdups(_u17629, _u17633))) )).
% 12.54/12.79 cnf(matrix-7344, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17634)), c_List_Oremdups(_u17634, _u17635)) = hAPP(c_Finite__Set_Ocard(_u17634), hAPP(c_List_Oset(_u17634), _u17635))) )).
% 12.54/12.79 cnf(matrix-7345, plain, ( ~c_Fun_Oinj__on(_u17636, _u17637, _u17638, c_Orderings_Otop__class_Otop(tc_fun(_u17636, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u17636, _u17637), _u17638), hAPP(c_List_OremoveAll(_u17636, _u17639), _u17640)) = hAPP(c_List_OremoveAll(_u17637, hAPP(_u17638, _u17639)), hAPP(hAPP(c_List_Omap(_u17636, _u17637), _u17638), _u17640))) )).
% 12.54/12.79 cnf(matrix-7346, plain, ( ( hAPP(c_List_Oset(_u17641), hAPP(c_List_OremoveAll(_u17641, _u17642), _u17643)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17641, tc_HOL_Obool)), hAPP(c_List_Oset(_u17641), _u17643)), hAPP(hAPP(c_Set_Oinsert(_u17641), _u17642), c_Orderings_Obot__class_Obot(tc_fun(_u17641, tc_HOL_Obool))))) )).
% 12.54/12.79 cnf(matrix-7347, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17644)), c_List_Oremdups(_u17644, c_List_Oconcat(_u17644, _u17645))) = hAPP(c_Finite__Set_Ocard(_u17644), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u17644), tc_fun(_u17644, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u17644)), _u17645)), c_List_Oset(_u17644)))) )).
% 12.54/12.79 cnf(matrix-7348, plain, ( ~class_Orderings_Olinorder(_u17646) | ( c_List_Olinorder__class_Osorted__list__of__set(_u17646, hAPP(c_List_Oset(_u17646), _u17647)) = c_List_Olinorder__class_Osort__key(_u17646, _u17646, c_COMBI(_u17646), c_List_Oremdups(_u17646, _u17647))) )).
% 12.54/12.79 cnf(matrix-7349, plain, ( ( c_List_Oconcat(_u17648, _u17649) = hAPP(c_List_Ofoldl(tc_List_Olist(_u17648), tc_List_Olist(_u17648), c_List_Oappend(_u17648), c_List_Olist_ONil(_u17648)), _u17649)) )).
% 12.54/12.79 cnf(matrix-7350, plain, ( ( hAPP(c_List_Ofoldl(tc_List_Olist(_u17650), tc_List_Olist(_u17650), c_List_Oappend(_u17650), _u17651), _u17652) = hAPP(hAPP(c_List_Oappend(_u17650), _u17651), c_List_Oconcat(_u17650, _u17652))) )).
% 12.54/12.79 cnf(matrix-7351, plain, ( ~class_Orderings_Olinorder(_u17653) | ( c_List_Olinorder__class_Osort__key(_u17654, _u17653, _u17655, c_List_Olist_ONil(_u17654)) = c_List_Olist_ONil(_u17654)) )).
% 12.54/12.79 cnf(matrix-7352, plain, ( ~class_Orderings_Olinorder(_u17656) | ( hAPP(c_List_Oset(_u17657), c_List_Olinorder__class_Osort__key(_u17657, _u17656, _u17658, _u17659)) = hAPP(c_List_Oset(_u17657), _u17659)) )).
% 12.54/12.79 cnf(matrix-7353, plain, ( ~class_Orderings_Olinorder(_u17660) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17661)), c_List_Olinorder__class_Osort__key(_u17661, _u17660, _u17662, _u17663)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17661)), _u17663)) )).
% 12.54/12.79 cnf(matrix-7354, plain, ( ~class_Orderings_Olinorder(_u17664) | ~hBOOL(hAPP(c_List_Odistinct(_u17665), c_List_Olinorder__class_Osort__key(_u17665, _u17664, _u17666, _u17667))) | hBOOL(hAPP(c_List_Odistinct(_u17665), _u17667)) )).
% 12.54/12.79 cnf(matrix-7355, plain, ( ~class_Orderings_Olinorder(_u17664) | ~hBOOL(hAPP(c_List_Odistinct(_u17665), _u17667)) | hBOOL(hAPP(c_List_Odistinct(_u17665), c_List_Olinorder__class_Osort__key(_u17665, _u17664, _u17666, _u17667))) )).
% 12.54/12.79 cnf(matrix-7356, plain, ( ( c_List_Oconcat(_u17668, c_List_Olist_ONil(tc_List_Olist(_u17668))) = c_List_Olist_ONil(_u17668)) )).
% 12.54/12.79 cnf(matrix-7357, plain, ( ( c_List_Oconcat(_u17669, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17669)), _u17670), _u17671)) = hAPP(hAPP(c_List_Oappend(_u17669), _u17670), c_List_Oconcat(_u17669, _u17671))) )).
% 12.54/12.79 cnf(matrix-7358, plain, ( ( c_List_Olist_ONil(_u17676) != c_List_Oconcat(_u17676, _u17678)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17676)), _u17672), hAPP(c_List_Oset(tc_List_Olist(_u17676)), _u17678))) | ( _u17672 = c_List_Olist_ONil(_u17676)) )).
% 12.54/12.79 cnf(matrix-7359, plain, ( ( c_List_Olist_ONil(_u17677) = c_List_Oconcat(_u17677, _u17679)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17677)), skolem456(_u17679, _u17677)), hAPP(c_List_Oset(tc_List_Olist(_u17677)), _u17679))) )).
% 12.54/12.79 cnf(matrix-7360, plain, ( ( c_List_Olist_ONil(_u17677) = c_List_Oconcat(_u17677, _u17679)) | ( skolem456(_u17679, _u17677) != c_List_Olist_ONil(_u17677)) )).
% 12.54/12.79 cnf(matrix-7361, plain, ( ( c_List_Oconcat(_u17684, _u17686) != c_List_Olist_ONil(_u17684)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17684)), _u17680), hAPP(c_List_Oset(tc_List_Olist(_u17684)), _u17686))) | ( _u17680 = c_List_Olist_ONil(_u17684)) )).
% 12.54/12.79 cnf(matrix-7362, plain, ( ( c_List_Oconcat(_u17685, _u17687) = c_List_Olist_ONil(_u17685)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17685)), skolem457(_u17687, _u17685)), hAPP(c_List_Oset(tc_List_Olist(_u17685)), _u17687))) )).
% 12.54/12.79 cnf(matrix-7363, plain, ( ( c_List_Oconcat(_u17685, _u17687) = c_List_Olist_ONil(_u17685)) | ( skolem457(_u17687, _u17685) != c_List_Olist_ONil(_u17685)) )).
% 12.54/12.79 cnf(matrix-7364, plain, ( ( hAPP(hAPP(c_List_Omap(_u17688, _u17689), _u17690), c_List_Oconcat(_u17688, _u17691)) = c_List_Oconcat(_u17689, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17688), tc_List_Olist(_u17689)), hAPP(c_List_Omap(_u17688, _u17689), _u17690)), _u17691))) )).
% 12.54/12.79 cnf(matrix-7365, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17692)), c_List_Oconcat(_u17692, _u17693)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17692), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17692))), _u17693))) )).
% 12.54/12.79 cnf(matrix-7366, plain, ( ( hAPP(c_List_Oset(_u17694), c_List_Oconcat(_u17694, _u17695)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u17694), tc_fun(_u17694, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u17694)), _u17695)), c_List_Oset(_u17694))) )).
% 12.54/12.79 cnf(matrix-7367, plain, ( ~class_Orderings_Olinorder(_u17696) | ( c_List_Olinorder__class_Osort__key(_u17697, _u17696, _u17698, hAPP(hAPP(c_List_Olist_OCons(_u17697), _u17699), _u17700)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17697, _u17696, _u17698), _u17699), c_List_Olinorder__class_Osort__key(_u17697, _u17696, _u17698, _u17700))) )).
% 12.54/12.79 cnf(matrix-7368, plain, ( ( c_List_Oconcat(_u17701, hAPP(hAPP(c_List_Oappend(tc_List_Olist(_u17701)), _u17702), _u17703)) = hAPP(hAPP(c_List_Oappend(_u17701), c_List_Oconcat(_u17701, _u17702)), c_List_Oconcat(_u17701, _u17703))) )).
% 12.54/12.79 cnf(matrix-7369, plain, ( ~class_Orderings_Olinorder(_u17704) | ( c_List_Olinorder__class_Osort__key(_u17704, _u17704, c_COMBI(_u17704), _u17705) = hAPP(c_List_Ofoldl(tc_List_Olist(_u17704), _u17704, hAPP(c_COMBC(_u17704, tc_List_Olist(_u17704), tc_List_Olist(_u17704)), c_List_Olinorder__class_Oinsort__key(_u17704, _u17704, c_COMBI(_u17704))), c_List_Olist_ONil(_u17704)), _u17705)) )).
% 12.54/12.79 cnf(matrix-7370, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17707), tc_List_Olist(_u17707))), skolem458(_u17709, _u17708, _u17707)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17707), tc_List_Olist(_u17707))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17707), tc_List_Olist(_u17707)), _u17708), _u17709)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17707))), _u17708) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17707))), _u17709)) | ( c_List_Oconcat(_u17707, _u17708) != c_List_Oconcat(_u17707, _u17709)) | ( _u17708 = _u17709) )).
% 12.54/12.79 cnf(matrix-7371, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17707), tc_List_Olist(_u17707))), skolem458(_u17709, _u17708, _u17707)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17707), tc_List_Olist(_u17707))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17707), tc_List_Olist(_u17707)), _u17708), _u17709)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17707))), _u17708) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17707))), _u17709)) | ( _u17708 != _u17709) | ( c_List_Oconcat(_u17707, _u17708) = c_List_Oconcat(_u17707, _u17709)) )).
% 12.54/12.79 cnf(matrix-7372, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17707), tc_List_Olist(_u17707), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17707), tc_fun(tc_List_Olist(_u17707), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17707), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17707), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17707), tc_HOL_Obool)), tc_List_Olist(_u17707)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17707))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17707)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17707))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17707)))), skolem458(_u17709, _u17708, _u17707))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17707))), _u17708) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17707))), _u17709)) | ( c_List_Oconcat(_u17707, _u17708) != c_List_Oconcat(_u17707, _u17709)) | ( _u17708 = _u17709) )).
% 12.54/12.79 cnf(matrix-7373, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17707), tc_List_Olist(_u17707), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17707), tc_fun(tc_List_Olist(_u17707), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17707), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17707), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17707), tc_HOL_Obool)), tc_List_Olist(_u17707)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17707))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17707)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17707))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17707)))), skolem458(_u17709, _u17708, _u17707))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17707))), _u17708) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17707))), _u17709)) | ( _u17708 != _u17709) | ( c_List_Oconcat(_u17707, _u17708) = c_List_Oconcat(_u17707, _u17709)) )).
% 12.54/12.79 cnf(matrix-7374, plain, ( ( c_List_Oconcat(_u17711, _u17712) != c_List_Oconcat(_u17711, _u17713)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17711))), _u17712) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17711))), _u17713)) | ( _u17712 = _u17713) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17711), tc_List_Olist(_u17711))), skolem459(_u17713, _u17712, _u17711)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17711), tc_List_Olist(_u17711))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17711), tc_List_Olist(_u17711)), _u17712), _u17713)))) )).
% 12.54/12.79 cnf(matrix-7375, plain, ( ( c_List_Oconcat(_u17711, _u17712) != c_List_Oconcat(_u17711, _u17713)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17711))), _u17712) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17711))), _u17713)) | ( _u17712 = _u17713) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17711), tc_List_Olist(_u17711), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17711), tc_fun(tc_List_Olist(_u17711), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17711), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17711), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17711), tc_HOL_Obool)), tc_List_Olist(_u17711)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17711))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17711)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17711))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17711)))), skolem459(_u17713, _u17712, _u17711))) )).
% 12.54/12.79 cnf(matrix-7376, plain, ( ( c_List_Oconcat(_u17714, hAPP(hAPP(c_List_Omap(_u17715, tc_List_Olist(_u17714)), hAPP(hAPP(c_COMBC(_u17715, tc_List_Olist(_u17714), tc_List_Olist(_u17714)), hAPP(hAPP(c_COMBB(_u17714, tc_fun(tc_List_Olist(_u17714), tc_List_Olist(_u17714)), _u17715), c_List_Olist_OCons(_u17714)), _u17716)), c_List_Olist_ONil(_u17714))), _u17717)) = hAPP(hAPP(c_List_Omap(_u17715, _u17714), _u17716), _u17717)) )).
% 12.54/12.79 cnf(matrix-7377, plain, ( ( c_Enum_On__lists(_u17718, hAPP(c_Nat_OSuc, _u17719), _u17720) = c_List_Oconcat(tc_List_Olist(_u17718), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17718), tc_List_Olist(tc_List_Olist(_u17718))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17718), tc_List_Olist(_u17718), tc_List_Olist(tc_List_Olist(_u17718))), hAPP(hAPP(c_COMBB(tc_fun(_u17718, tc_List_Olist(_u17718)), tc_fun(tc_List_Olist(_u17718), tc_List_Olist(tc_List_Olist(_u17718))), tc_List_Olist(_u17718)), c_List_Omap(_u17718, tc_List_Olist(_u17718))), hAPP(c_COMBC(_u17718, tc_List_Olist(_u17718), tc_List_Olist(_u17718)), c_List_Olist_OCons(_u17718)))), _u17720)), c_Enum_On__lists(_u17718, _u17719, _u17720)))) )).
% 12.54/12.79 cnf(matrix-7378, plain, ( ( c_List_Otranspose(_u17721, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17721)), hAPP(hAPP(c_List_Olist_OCons(_u17721), _u17722), _u17723)), _u17724)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17721)), hAPP(hAPP(c_List_Olist_OCons(_u17721), _u17722), c_List_Oconcat(_u17721, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17721), tc_List_Olist(_u17721)), c_List_Olist_Olist__case(tc_List_Olist(_u17721), _u17721, c_List_Olist_ONil(_u17721), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17721), tc_fun(tc_List_Olist(_u17721), tc_List_Olist(_u17721)), _u17721), c_COMBK(tc_List_Olist(_u17721), tc_List_Olist(_u17721))), hAPP(hAPP(c_COMBC(_u17721, tc_List_Olist(_u17721), tc_List_Olist(_u17721)), c_List_Olist_OCons(_u17721)), c_List_Olist_ONil(_u17721))))), _u17724)))), c_List_Otranspose(_u17721, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17721)), _u17723), c_List_Oconcat(tc_List_Olist(_u17721), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17721), tc_List_Olist(tc_List_Olist(_u17721))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u17721)), _u17721, c_List_Olist_ONil(tc_List_Olist(_u17721)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17721), tc_List_Olist(tc_List_Olist(_u17721))), _u17721), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17721), tc_List_Olist(tc_List_Olist(_u17721)), tc_List_Olist(tc_List_Olist(_u17721))), c_List_Olist_OCons(tc_List_Olist(_u17721))), c_List_Olist_ONil(tc_List_Olist(_u17721)))))), _u17724)))))) )).
% 12.54/12.79 cnf(matrix-7379, plain, ( ( c_List_Oconcat(_u17725, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17725), tc_List_Olist(_u17725)), c_List_Olist_Olist__case(tc_List_Olist(_u17725), _u17725, c_List_Olist_ONil(_u17725), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17725), tc_fun(tc_List_Olist(_u17725), tc_List_Olist(_u17725)), _u17725), c_COMBK(tc_List_Olist(_u17725), tc_List_Olist(_u17725))), hAPP(hAPP(c_COMBC(_u17725, tc_List_Olist(_u17725), tc_List_Olist(_u17725)), c_List_Olist_OCons(_u17725)), c_List_Olist_ONil(_u17725))))), _u17726)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17725), _u17725), c_List_Ohd(_u17725)), hAPP(c_List_Ofilter(tc_List_Olist(_u17725), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17725)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17725), tc_List_Olist(_u17725), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17725)))), _u17726))) )).
% 12.54/12.79 cnf(matrix-7380, plain, ( ( hAPP(c_List_Ofilter(_u17727, _u17728), c_List_Oconcat(_u17727, _u17729)) = c_List_Oconcat(_u17727, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17727), tc_List_Olist(_u17727)), c_List_Ofilter(_u17727, _u17728)), _u17729))) )).
% 12.54/12.79 cnf(matrix-7381, plain, ( ~class_Orderings_Olinorder(_u17730) | ( hAPP(c_List_Ofilter(_u17731, _u17732), c_List_Olinorder__class_Osort__key(_u17731, _u17730, _u17733, _u17734)) = c_List_Olinorder__class_Osort__key(_u17731, _u17730, _u17733, hAPP(c_List_Ofilter(_u17731, _u17732), _u17734))) )).
% 12.54/12.79 cnf(matrix-7382, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17735), _u17736)) | hBOOL(hAPP(c_List_Odistinct(_u17735), hAPP(c_List_Ofilter(_u17735, _u17737), _u17736))) )).
% 12.54/12.79 cnf(matrix-7383, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17738)), hAPP(c_List_Ofilter(_u17738, _u17739), _u17740))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17738)), _u17740))) )).
% 12.54/12.79 cnf(matrix-7384, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17741)), hAPP(c_List_Ofilter(_u17741, _u17742), _u17743))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17741)), hAPP(c_List_Ofilter(_u17741, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17741), c_fNot), _u17742)), _u17743))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17741)), _u17743)) )).
% 12.54/12.79 cnf(matrix-7385, plain, ( ( hAPP(c_List_Ofilter(_u17749, _u17751), _u17753) != _u17753) | ~hBOOL(hAPP(hAPP(c_member(_u17749), _u17744), hAPP(c_List_Oset(_u17749), _u17753))) | hBOOL(hAPP(_u17751, _u17744)) )).
% 12.54/12.79 cnf(matrix-7386, plain, ( ( hAPP(c_List_Ofilter(_u17750, _u17752), _u17754) = _u17754) | hBOOL(hAPP(hAPP(c_member(_u17750), skolem460(_u17754, _u17752, _u17750)), hAPP(c_List_Oset(_u17750), _u17754))) )).
% 12.54/12.79 cnf(matrix-7387, plain, ( ( hAPP(c_List_Ofilter(_u17750, _u17752), _u17754) = _u17754) | ~hBOOL(hAPP(_u17752, skolem460(_u17754, _u17752, _u17750))) )).
% 12.54/12.79 cnf(matrix-7388, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17755, tc_HOL_Obool)), hAPP(c_List_Oset(_u17755), hAPP(c_List_Ofilter(_u17755, _u17756), _u17757))), hAPP(c_List_Oset(_u17755), _u17757))) )).
% 12.54/12.79 cnf(matrix-7389, plain, ( hBOOL(hAPP(_u17758, _u17759)) | ( c_List_Oremove1(_u17760, _u17759, hAPP(c_List_Ofilter(_u17760, _u17758), _u17761)) = hAPP(c_List_Ofilter(_u17760, _u17758), _u17761)) )).
% 12.54/12.79 cnf(matrix-7390, plain, ( ( hAPP(c_List_Ofilter(_u17762, _u17763), c_List_Oremove1(_u17762, _u17764, _u17765)) = c_List_Oremove1(_u17762, _u17764, hAPP(c_List_Ofilter(_u17762, _u17763), _u17765))) )).
% 12.54/12.79 cnf(matrix-7391, plain, ( ( hAPP(c_List_Ofilter(_u17766, _u17767), hAPP(c_List_Ofilter(_u17766, _u17768), _u17769)) = hAPP(c_List_Ofilter(_u17766, hAPP(hAPP(c_COMBS(_u17766, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17766), c_fconj), _u17768)), _u17767)), _u17769)) )).
% 12.54/12.79 cnf(matrix-7392, plain, ( ~class_Orderings_Olinorder(_u17770) | hBOOL(hAPP(_u17771, _u17772)) | ( hAPP(c_List_Ofilter(_u17773, _u17771), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17773, _u17770, _u17774), _u17772), _u17775)) = hAPP(c_List_Ofilter(_u17773, _u17771), _u17775)) )).
% 12.54/12.79 cnf(matrix-7393, plain, ( ( hAPP(c_Product__Type_Ofst(tc_List_Olist(_u17776), tc_List_Olist(_u17776)), c_List_Opartition(_u17776, _u17777, _u17778)) = hAPP(c_List_Ofilter(_u17776, _u17777), _u17778)) )).
% 12.54/12.79 cnf(matrix-7394, plain, ( ( c_List_Opartition(_u17779, _u17780, _u17781) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17779), tc_List_Olist(_u17779)), hAPP(c_List_Ofilter(_u17779, _u17780), _u17781)), hAPP(c_List_Ofilter(_u17779, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u17779, c_fNot), _u17780)), _u17781))) )).
% 12.54/12.79 cnf(matrix-7395, plain, ( ( hAPP(c_Product__Type_Osnd(tc_List_Olist(_u17782), tc_List_Olist(_u17782)), c_List_Opartition(_u17782, _u17783, _u17784)) = hAPP(c_List_Ofilter(_u17782, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u17782, c_fNot), _u17783)), _u17784)) )).
% 12.54/12.79 cnf(matrix-7396, plain, ( ( hAPP(c_List_Ofilter(_u17785, _u17786), hAPP(hAPP(c_List_Omap(_u17787, _u17785), _u17788), _u17789)) = hAPP(hAPP(c_List_Omap(_u17787, _u17785), _u17788), hAPP(c_List_Ofilter(_u17787, hAPP(c_Fun_Ocomp(_u17785, tc_HOL_Obool, _u17787, _u17786), _u17788)), _u17789))) )).
% 12.54/12.79 cnf(matrix-7397, plain, ( ( hAPP(c_List_Ofilter(_u17790, _u17791), hAPP(hAPP(c_List_Oappend(_u17790), _u17792), _u17793)) = hAPP(hAPP(c_List_Oappend(_u17790), hAPP(c_List_Ofilter(_u17790, _u17791), _u17792)), hAPP(c_List_Ofilter(_u17790, _u17791), _u17793))) )).
% 12.54/12.79 cnf(matrix-7398, plain, ( ~hBOOL(hAPP(_u17798, _u17800)) | ( hAPP(c_List_Ofilter(_u17802, _u17798), hAPP(hAPP(c_List_Olist_OCons(_u17802), _u17800), _u17804)) = hAPP(hAPP(c_List_Olist_OCons(_u17802), _u17800), hAPP(c_List_Ofilter(_u17802, _u17798), _u17804))) )).
% 12.54/12.79 cnf(matrix-7399, plain, ( hBOOL(hAPP(_u17799, _u17801)) | ( hAPP(c_List_Ofilter(_u17803, _u17799), hAPP(hAPP(c_List_Olist_OCons(_u17803), _u17801), _u17805)) = hAPP(c_List_Ofilter(_u17803, _u17799), _u17805)) )).
% 12.54/12.79 cnf(matrix-7400, plain, ( ( c_List_Otranspose(_u17806, c_List_Olist_ONil(tc_List_Olist(_u17806))) = c_List_Olist_ONil(tc_List_Olist(_u17806))) )).
% 12.54/12.79 cnf(matrix-7401, plain, ( ( hAPP(c_List_Ofilter(_u17807, _u17808), c_List_Olist_ONil(_u17807)) = c_List_Olist_ONil(_u17807)) )).
% 12.54/12.79 cnf(matrix-7402, plain, ( ( hAPP(c_List_Ofilter(_u17814, _u17816), _u17818) != c_List_Olist_ONil(_u17814)) | ~hBOOL(hAPP(hAPP(c_member(_u17814), _u17809), hAPP(c_List_Oset(_u17814), _u17818))) | ~hBOOL(hAPP(_u17816, _u17809)) )).
% 12.54/12.79 cnf(matrix-7403, plain, ( ( hAPP(c_List_Ofilter(_u17815, _u17817), _u17819) = c_List_Olist_ONil(_u17815)) | hBOOL(hAPP(hAPP(c_member(_u17815), skolem461(_u17819, _u17817, _u17815)), hAPP(c_List_Oset(_u17815), _u17819))) )).
% 12.54/12.79 cnf(matrix-7404, plain, ( ( hAPP(c_List_Ofilter(_u17815, _u17817), _u17819) = c_List_Olist_ONil(_u17815)) | hBOOL(hAPP(_u17817, skolem461(_u17819, _u17817, _u17815))) )).
% 12.54/12.79 cnf(matrix-7405, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17820)), hAPP(c_List_Ofilter(_u17820, _u17821), hAPP(hAPP(c_List_Omap(_u17822, _u17820), _u17823), _u17824))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17822)), hAPP(c_List_Ofilter(_u17822, hAPP(c_Fun_Ocomp(_u17820, tc_HOL_Obool, _u17822, _u17821), _u17823)), _u17824))) )).
% 12.54/12.79 cnf(matrix-7406, plain, ( ( c_List_OremoveAll(_u17825, _u17826) = c_List_Ofilter(_u17825, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17825), c_fNot), hAPP(c_fequal, _u17826)))) )).
% 12.54/12.79 cnf(matrix-7407, plain, ( hBOOL(hAPP(_u17827, _u17828)) | ( hAPP(c_List_OremoveAll(_u17829, _u17828), hAPP(c_List_Ofilter(_u17829, _u17827), _u17830)) = hAPP(c_List_Ofilter(_u17829, _u17827), _u17830)) )).
% 12.54/12.79 cnf(matrix-7408, plain, ( ( c_List_Oremdups(_u17831, hAPP(c_List_Ofilter(_u17831, _u17832), _u17833)) = hAPP(c_List_Ofilter(_u17831, _u17832), c_List_Oremdups(_u17831, _u17833))) )).
% 12.54/12.79 cnf(matrix-7409, plain, ( ( c_List_Otranspose(_u17834, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17834)), c_List_Olist_ONil(_u17834)), _u17835)) = c_List_Otranspose(_u17834, _u17835)) )).
% 12.54/12.79 cnf(matrix-7410, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17836), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17837))), c_List_Otranspose(_u17837, _u17838)))) | ( hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17837)), c_List_Otranspose(_u17837, _u17838)), _u17836) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17837), _u17837), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17837), tc_Nat_Onat, _u17837), c_List_Onth(_u17837)), _u17836)), hAPP(c_List_Ofilter(tc_List_Olist(_u17837), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17837)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17836)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17837)))), _u17838))) )).
% 12.54/12.79 cnf(matrix-7411, plain, ( ( c_List_Otranspose(_u17839, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17840), tc_List_Olist(_u17839)), hAPP(c_List_Omap(_u17840, _u17839), _u17841)), _u17842)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17840), tc_List_Olist(_u17839)), hAPP(c_List_Omap(_u17840, _u17839), _u17841)), c_List_Otranspose(_u17840, _u17842))) )).
% 12.54/12.79 cnf(matrix-7412, plain, ( ( hAPP(c_List_Oset(_u17843), hAPP(c_List_Ofilter(_u17843, _u17844), _u17845)) = hAPP(c_Set_OCollect(_u17843), hAPP(hAPP(c_COMBS(_u17843, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17843), c_fconj), hAPP(hAPP(c_COMBC(_u17843, tc_fun(_u17843, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17843)), hAPP(c_List_Oset(_u17843), _u17845)))), _u17844))) )).
% 12.54/12.79 cnf(matrix-7413, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17846), _u17847), hAPP(c_List_Oset(_u17846), _u17848))) | hBOOL(hAPP(_u17849, _u17847)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17846)), hAPP(c_List_Ofilter(_u17846, _u17849), _u17848))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17846)), _u17848))) )).
% 12.54/12.79 cnf(matrix-7414, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17850, tc_HOL_Obool)), hAPP(c_List_Oset(_u17850), _u17851)), hAPP(hAPP(c_Set_Oinsert(_u17850), _u17852), c_Orderings_Obot__class_Obot(tc_fun(_u17850, tc_HOL_Obool)))) = hAPP(c_List_Oset(_u17850), hAPP(c_List_Ofilter(_u17850, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17850), c_fNot), hAPP(hAPP(c_COMBC(_u17850, _u17850, tc_HOL_Obool), c_fequal), _u17852))), _u17851))) )).
% 12.54/12.79 cnf(matrix-7415, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17853), _u17854)) | ( hAPP(c_List_Ofilter(_u17853, hAPP(hAPP(c_COMBC(_u17853, tc_fun(_u17853, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17853)), hAPP(c_List_Oset(_u17853), c_List_Osublist(_u17853, _u17854, _u17855)))), _u17854) = c_List_Osublist(_u17853, _u17854, _u17855)) )).
% 12.54/12.79 cnf(matrix-7416, plain, ( ( c_List_Otranspose(_u17860, _u17862) != c_List_Olist_ONil(tc_List_Olist(_u17860))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17860)), _u17856), hAPP(c_List_Oset(tc_List_Olist(_u17860)), _u17862))) | ( _u17856 = c_List_Olist_ONil(_u17860)) )).
% 12.54/12.79 cnf(matrix-7417, plain, ( ( c_List_Otranspose(_u17861, _u17863) = c_List_Olist_ONil(tc_List_Olist(_u17861))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17861)), skolem462(_u17863, _u17861)), hAPP(c_List_Oset(tc_List_Olist(_u17861)), _u17863))) )).
% 12.54/12.79 cnf(matrix-7418, plain, ( ( c_List_Otranspose(_u17861, _u17863) = c_List_Olist_ONil(tc_List_Olist(_u17861))) | ( skolem462(_u17863, _u17861) != c_List_Olist_ONil(_u17861)) )).
% 12.54/12.79 cnf(matrix-7419, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17864)), hAPP(c_List_Ofilter(_u17864, _u17865), _u17866)) = 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(_u17864)), _u17866)))), hAPP(hAPP(c_COMBB(_u17864, tc_HOL_Obool, tc_Nat_Onat), _u17865), hAPP(c_List_Onth(_u17864), _u17866)))))) )).
% 12.54/12.79 cnf(matrix-7420, plain, ( ( c_List_Oconcat(tc_List_Olist(_u17867), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17867), tc_List_Olist(tc_List_Olist(_u17867))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u17867)), _u17867, c_List_Olist_ONil(tc_List_Olist(_u17867)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17867), tc_List_Olist(tc_List_Olist(_u17867))), _u17867), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17867), tc_List_Olist(tc_List_Olist(_u17867)), tc_List_Olist(tc_List_Olist(_u17867))), c_List_Olist_OCons(tc_List_Olist(_u17867))), c_List_Olist_ONil(tc_List_Olist(_u17867)))))), _u17868)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17867), tc_List_Olist(_u17867)), c_List_Otl(_u17867)), hAPP(c_List_Ofilter(tc_List_Olist(_u17867), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17867)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17867), tc_List_Olist(_u17867), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17867)))), _u17868))) )).
% 12.54/12.79 cnf(matrix-7421, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u17869)), c_List_Otranspose__rel(_u17869)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17869)), hAPP(hAPP(c_List_Olist_OCons(_u17869), _u17870), _u17871)), _u17872))) | ( c_List_Otranspose(_u17869, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17869)), hAPP(hAPP(c_List_Olist_OCons(_u17869), _u17870), _u17871)), _u17872)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17869)), hAPP(hAPP(c_List_Olist_OCons(_u17869), _u17870), c_List_Oconcat(_u17869, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17869), tc_List_Olist(_u17869)), c_List_Olist_Olist__case(tc_List_Olist(_u17869), _u17869, c_List_Olist_ONil(_u17869), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17869), tc_fun(tc_List_Olist(_u17869), tc_List_Olist(_u17869)), _u17869), c_COMBK(tc_List_Olist(_u17869), tc_List_Olist(_u17869))), hAPP(hAPP(c_COMBC(_u17869, tc_List_Olist(_u17869), tc_List_Olist(_u17869)), c_List_Olist_OCons(_u17869)), c_List_Olist_ONil(_u17869))))), _u17872)))), c_List_Otranspose(_u17869, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17869)), _u17871), c_List_Oconcat(tc_List_Olist(_u17869), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17869), tc_List_Olist(tc_List_Olist(_u17869))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u17869)), _u17869, c_List_Olist_ONil(tc_List_Olist(_u17869)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17869), tc_List_Olist(tc_List_Olist(_u17869))), _u17869), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17869), tc_List_Olist(tc_List_Olist(_u17869)), tc_List_Olist(tc_List_Olist(_u17869))), c_List_Olist_OCons(tc_List_Olist(_u17869))), c_List_Olist_ONil(tc_List_Olist(_u17869)))))), _u17872)))))) )).
% 12.54/12.79 cnf(matrix-7422, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u17873)), c_List_Otranspose__rel(_u17873)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17873)), c_List_Olist_ONil(_u17873)), _u17874))) | ( c_List_Otranspose(_u17873, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17873)), c_List_Olist_ONil(_u17873)), _u17874)) = c_List_Otranspose(_u17873, _u17874)) )).
% 12.54/12.79 cnf(matrix-7423, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u17875, tc_Nat_Onat), _u17875), c_Product__Type_Ofst(_u17875, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u17875, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u17875, tc_Nat_Onat)), _u17876), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_prod(_u17875, tc_Nat_Onat)), c_Nat_OSuc), c_Product__Type_Osnd(_u17875, tc_Nat_Onat)))), hAPP(hAPP(c_List_Ozip(_u17875, tc_Nat_Onat), _u17877), _u17878))) = hAPP(hAPP(c_List_Omap(tc_prod(_u17875, tc_Nat_Onat), _u17875), c_Product__Type_Ofst(_u17875, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u17875, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u17875, tc_Nat_Onat)), _u17876), c_Product__Type_Osnd(_u17875, tc_Nat_Onat))), hAPP(hAPP(c_List_Ozip(_u17875, tc_Nat_Onat), _u17877), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), _u17878))))) )).
% 12.54/12.79 cnf(matrix-7424, plain, ( ( c_Random_Opick(_u17879, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17879), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u17879, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u17879, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u17879)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u17880)) = c_Random_Opick(_u17879, _u17880)) )).
% 12.54/12.79 cnf(matrix-7425, plain, ( ( c_Random_Oselect__weight(_u17881, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17881), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u17881, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u17881, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u17881)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u17882)) = c_Random_Oselect__weight(_u17881, _u17882)) )).
% 12.54/12.79 cnf(matrix-7426, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u17883)), c_List_Otranspose__rel(_u17883)), c_List_Olist_ONil(tc_List_Olist(_u17883)))) | ( c_List_Otranspose(_u17883, c_List_Olist_ONil(tc_List_Olist(_u17883))) = c_List_Olist_ONil(tc_List_Olist(_u17883))) )).
% 12.54/12.79 cnf(matrix-7427, plain, ( ( c_List_Ofoldr(tc_List_Olist(_u17884), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17884)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17884))), c_List_Otranspose(_u17884, _u17885), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17884))), hAPP(c_List_Ofilter(tc_List_Olist(_u17884), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17884)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17884), tc_List_Olist(_u17884), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17884)))), _u17885))) )).
% 12.54/12.79 cnf(matrix-7428, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17886)), _u17887))), c_List_Ofoldr(tc_List_Olist(_u17888), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17888)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17888))), _u17889, 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(_u17886)), _u17887)), c_List_Ofoldr(tc_List_Olist(_u17888), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17888)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17888), tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17888)), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17888)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_List_Ofilter(tc_List_Olist(_u17888), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17888)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17888), tc_List_Olist(_u17888), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17888)))), _u17889), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 12.54/12.79 cnf(matrix-7429, plain, ( ( c_List_Ofoldr(_u17890, _u17891, _u17892, hAPP(hAPP(c_List_Oappend(_u17890), _u17893), _u17894), _u17895) = c_List_Ofoldr(_u17890, _u17891, _u17892, _u17893, c_List_Ofoldr(_u17890, _u17891, _u17892, _u17894, _u17895))) )).
% 12.54/12.79 cnf(matrix-7430, plain, ( ( c_List_Ofoldr(_u17896, _u17897, _u17898, hAPP(hAPP(c_List_Olist_OCons(_u17896), _u17899), _u17900), _u17901) = hAPP(hAPP(_u17898, _u17899), c_List_Ofoldr(_u17896, _u17897, _u17898, _u17900, _u17901))) )).
% 12.54/12.79 cnf(matrix-7431, plain, ( ( c_List_Ofoldr(_u17902, _u17903, _u17904, c_List_Olist_ONil(_u17902), _u17905) = _u17905) )).
% 12.54/12.79 cnf(matrix-7432, plain, ( ~class_Groups_Oab__semigroup__add(_u17906) | ( c_List_Ofoldr(_u17906, _u17906, c_Groups_Oplus__class_Oplus(_u17906), _u17907, _u17908) = hAPP(c_List_Ofoldl(_u17906, _u17906, c_Groups_Oplus__class_Oplus(_u17906), _u17908), _u17907)) )).
% 12.54/12.79 cnf(matrix-7433, plain, ( ( c_List_Ofoldr(_u17909, _u17910, _u17911, hAPP(hAPP(c_List_Omap(_u17912, _u17909), _u17913), _u17914), _u17915) = c_List_Ofoldr(_u17912, _u17910, hAPP(c_Fun_Ocomp(_u17909, tc_fun(_u17910, _u17910), _u17912, _u17911), _u17913), _u17914, _u17915)) )).
% 12.54/12.79 cnf(matrix-7434, plain, ( ~class_Groups_Omonoid__add(_u17916) | ( hAPP(c_List_Ofoldl(_u17916, _u17916, c_Groups_Oplus__class_Oplus(_u17916), _u17917), _u17918) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17916), _u17917), c_List_Ofoldr(_u17916, _u17916, c_Groups_Oplus__class_Oplus(_u17916), _u17918, c_Groups_Ozero__class_Ozero(_u17916)))) )).
% 12.54/12.79 cnf(matrix-7435, plain, ( ~class_Groups_Omonoid__add(_u17919) | ( hAPP(c_List_Ofoldl(_u17919, _u17919, c_Groups_Oplus__class_Oplus(_u17919), c_Groups_Ozero__class_Ozero(_u17919)), _u17920) = c_List_Ofoldr(_u17919, _u17919, c_Groups_Oplus__class_Oplus(_u17919), _u17920, c_Groups_Ozero__class_Ozero(_u17919))) )).
% 12.54/12.79 cnf(matrix-7436, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17921))), c_List_Otranspose(_u17921, _u17922)) = c_List_Ofoldr(tc_List_Olist(_u17921), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17921)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17921))), _u17922, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.54/12.79 cnf(matrix-7437, plain, ( ( c_List_Osublist(_u17923, _u17924, _u17925) = hAPP(hAPP(c_List_Omap(tc_prod(_u17923, tc_Nat_Onat), _u17923), c_Product__Type_Ofst(_u17923, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u17923, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u17923, 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(_u17923, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u17923, tc_Nat_Onat))), _u17925)), hAPP(hAPP(c_List_Ozip(_u17923, tc_Nat_Onat), _u17924), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17923)), _u17924)))))) )).
% 12.54/12.79 cnf(matrix-7438, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u17926, tc_Nat_Onat), _u17926), c_Product__Type_Ofst(_u17926, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u17926, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u17926, 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(_u17926, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u17926, tc_Nat_Onat))), _u17927)), hAPP(hAPP(c_List_Ozip(_u17926, tc_Nat_Onat), _u17928), c_List_Oupt(_u17929, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17929), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17926)), _u17928)))))) = hAPP(hAPP(c_List_Omap(tc_prod(_u17926, tc_Nat_Onat), _u17926), c_Product__Type_Ofst(_u17926, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u17926, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u17926, 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(_u17926, tc_Nat_Onat)), c_member(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u17926, 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(_u17926, tc_Nat_Onat)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Product__Type_Osnd(_u17926, tc_Nat_Onat))), _u17929))), _u17927)), hAPP(hAPP(c_List_Ozip(_u17926, tc_Nat_Onat), _u17928), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17926)), _u17928)))))) )).
% 12.54/12.79 cnf(matrix-7439, plain, ( ( hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u17930, _u17931)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u17930), _u17931)) )).
% 12.54/12.79 cnf(matrix-7440, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u17932), _u17933) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u17932, _u17933))) )).
% 12.54/12.79 cnf(matrix-7441, plain, ( ( c_List_Oupt(_u17934, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.54/12.79 cnf(matrix-7442, plain, ( ( c_List_Oupt(_u17937, _u17939) != c_List_Olist_ONil(tc_Nat_Onat)) | ( _u17939 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17939), _u17937)) )).
% 12.54/12.79 cnf(matrix-7443, plain, ( ( c_List_Oupt(_u17938, _u17940) = c_List_Olist_ONil(tc_Nat_Onat)) | ( _u17940 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.79 cnf(matrix-7444, plain, ( ( c_List_Oupt(_u17938, _u17940) = c_List_Olist_ONil(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17940), _u17938)) )).
% 12.54/12.79 cnf(matrix-7445, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17941), _u17942)) | ( c_List_Oupt(_u17942, _u17941) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.54/12.79 cnf(matrix-7446, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17943), _u17944)) | ( c_List_Oupt(_u17943, _u17944) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17943), c_List_Oupt(hAPP(c_Nat_OSuc, _u17943), _u17944))) )).
% 12.54/12.79 cnf(matrix-7447, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17947), _u17949)) | ( c_List_Oupt(_u17947, _u17949) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17947), c_List_Oupt(hAPP(c_Nat_OSuc, _u17947), _u17949))) )).
% 12.54/12.79 cnf(matrix-7448, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17948), _u17950)) | ( c_List_Oupt(_u17948, _u17950) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.54/12.79 cnf(matrix-7449, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17951), _u17952)) | ( c_List_Oupt(_u17951, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17952), _u17953)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u17951, _u17952)), c_List_Oupt(_u17952, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17952), _u17953)))) )).
% 12.54/12.79 cnf(matrix-7450, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17956), _u17958)) | ( c_List_Oupt(_u17956, hAPP(c_Nat_OSuc, _u17958)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u17956, _u17958)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17958), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 12.54/12.79 cnf(matrix-7451, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17957), _u17959)) | ( c_List_Oupt(_u17957, hAPP(c_Nat_OSuc, _u17959)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.54/12.79 cnf(matrix-7452, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17960), _u17961)) | ( c_List_Oupt(_u17960, hAPP(c_Nat_OSuc, _u17961)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u17960, _u17961)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17961), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 12.54/12.79 cnf(matrix-7453, plain, ( ( hAPP(hAPP(c_List_Odrop(tc_Nat_Onat), _u17962), c_List_Oupt(_u17963, _u17964)) = c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17963), _u17962), _u17964)) )).
% 12.54/12.79 cnf(matrix-7454, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17965), _u17966)) | ( hAPP(c_List_Ohd(tc_Nat_Onat), c_List_Oupt(_u17965, _u17966)) = _u17965) )).
% 12.54/12.79 cnf(matrix-7455, plain, ( ( c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat, hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u17967), _u17968)) = c_List_Oupt(_u17967, _u17968)) )).
% 12.54/12.79 cnf(matrix-7456, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17969), _u17970)), _u17971)) | ( hAPP(hAPP(c_List_Otake(tc_Nat_Onat), _u17970), c_List_Oupt(_u17969, _u17971)) = c_List_Oupt(_u17969, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17969), _u17970))) )).
% 12.54/12.79 cnf(matrix-7457, plain, ( hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat), c_List_Oupt(_u17972, _u17973))) )).
% 12.54/12.79 cnf(matrix-7458, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), c_List_Oupt(_u17974, _u17975)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17975), _u17974)) )).
% 12.54/12.79 cnf(matrix-7459, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17978)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17980))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17978), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17980)) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17978)), c_List_Oupt(hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17978)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17980)))) )).
% 12.54/12.79 cnf(matrix-7460, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17979)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17981))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17979), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17981)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.54/12.79 cnf(matrix-7461, plain, ( ( c_List_Oupt(_u17986, _u17988) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17990), _u17992)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17986), _u17988)) )).
% 12.54/12.79 cnf(matrix-7462, plain, ( ( c_List_Oupt(_u17986, _u17988) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17990), _u17992)) | ( _u17986 = _u17990) )).
% 12.54/12.79 cnf(matrix-7463, plain, ( ( c_List_Oupt(_u17986, _u17988) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17990), _u17992)) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17986), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u17988) = _u17992) )).
% 12.54/12.79 cnf(matrix-7464, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17987), _u17989)) | ( _u17987 != _u17991) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17987), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u17989) != _u17993) | ( c_List_Oupt(_u17987, _u17989) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17991), _u17993)) )).
% 12.54/12.79 cnf(matrix-7465, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17994), _u17995)) | ( c_List_Olast(tc_Nat_Onat, c_List_Oupt(_u17994, _u17995)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17995), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.54/12.79 cnf(matrix-7466, plain, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), c_List_Oupt(_u17996, _u17997)) = c_List_Oupt(hAPP(c_Nat_OSuc, _u17996), hAPP(c_Nat_OSuc, _u17997))) )).
% 12.54/12.79 cnf(matrix-7467, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u17998, _u17999) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u17998, hAPP(c_Nat_OSuc, _u17999)))) )).
% 12.54/12.79 cnf(matrix-7468, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u18000) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18000))) )).
% 12.54/12.79 cnf(matrix-7469, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18001), _u18002)), _u18003)) | ( hAPP(hAPP(c_List_Onth(tc_Nat_Onat), c_List_Oupt(_u18001, _u18003)), _u18002) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18001), _u18002)) )).
% 12.54/12.79 cnf(matrix-7470, plain, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u18004, _u18005) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u18004), hAPP(c_Nat_OSuc, _u18005)))) )).
% 12.54/12.79 cnf(matrix-7471, plain, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u18006, _u18007) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u18006), _u18007))) )).
% 12.54/12.79 cnf(matrix-7472, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u18008) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u18008)))) )).
% 12.54/12.79 cnf(matrix-7473, plain, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18009), hAPP(c_List_Onth(_u18009), _u18010)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18009)), _u18010))) = _u18010) )).
% 12.54/12.79 cnf(matrix-7474, plain, ( ~class_Groups_Ocomm__monoid__add(_u18011) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18011), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18011), _u18012), c_List_Oupt(_u18013, _u18014))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u18011), _u18012), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18013, _u18014)))) )).
% 12.54/12.79 cnf(matrix-7475, plain, ( ~class_Groups_Ocomm__monoid__add(_u18015) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u18015), _u18016), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18017, _u18018))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18015), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18015), _u18016), c_List_Oupt(_u18017, _u18018)))) )).
% 12.54/12.79 cnf(matrix-7476, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18019), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18020), _u18021))) | ( hAPP(hAPP(c_List_Onth(_u18022), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18022), _u18023), c_List_Oupt(_u18021, _u18020))), _u18019) = hAPP(_u18023, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18021), _u18019))) )).
% 12.54/12.79 cnf(matrix-7477, plain, ( ( _u18025 = c_List_Olist_ONil(tc_List_Olist(_u18026))) | ( c_List_Otranspose(_u18026, _u18025) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18026)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18026)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18026), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18026)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18026)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18026), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18026), tc_fun(tc_Nat_Onat, _u18026), tc_Nat_Onat), c_List_Onth(_u18026)), hAPP(c_List_Onth(tc_List_Olist(_u18026)), _u18025))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18026))), _u18025)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18027))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem463(_u18027, _u18026, _u18025)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18026))), _u18025))) )).
% 12.54/12.79 cnf(matrix-7478, plain, ( ( _u18025 = c_List_Olist_ONil(tc_List_Olist(_u18026))) | ( c_List_Otranspose(_u18026, _u18025) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18026)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18026)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18026), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18026)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18026)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18026), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18026), tc_fun(tc_Nat_Onat, _u18026), tc_Nat_Onat), c_List_Onth(_u18026)), hAPP(c_List_Onth(tc_List_Olist(_u18026)), _u18025))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18026))), _u18025)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18027))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18026)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18026)), _u18025), skolem463(_u18027, _u18026, _u18025))) != _u18027) )).
% 12.54/12.79 cnf(matrix-7479, plain, ( ( _u18027 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u18026, _u18025) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18026)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18026)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18026), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18026)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18026)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18026), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18026), tc_fun(tc_Nat_Onat, _u18026), tc_Nat_Onat), c_List_Onth(_u18026)), hAPP(c_List_Onth(tc_List_Olist(_u18026)), _u18025))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18026))), _u18025)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18027))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem463(_u18027, _u18026, _u18025)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18026))), _u18025))) )).
% 12.54/12.79 cnf(matrix-7480, plain, ( ( _u18027 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u18026, _u18025) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18026)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18026)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18026), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18026)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18026)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18026), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18026), tc_fun(tc_Nat_Onat, _u18026), tc_Nat_Onat), c_List_Onth(_u18026)), hAPP(c_List_Onth(tc_List_Olist(_u18026)), _u18025))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18026))), _u18025)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18027))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18026)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18026)), _u18025), skolem463(_u18027, _u18026, _u18025))) != _u18027) )).
% 12.54/12.79 cnf(matrix-7481, plain, ( ~class_Orderings_Olinorder(_u18028) | ~hBOOL(hAPP(hAPP(c_member(_u18029), _u18030), hAPP(c_List_Oset(_u18029), _u18031))) | ~c_List_Olinorder__class_Osorted(_u18028, hAPP(hAPP(c_List_Omap(_u18029, _u18028), _u18032), _u18031)) | ( hAPP(c_List_Ohd(_u18029), hAPP(c_List_Ofilter(_u18029, hAPP(hAPP(c_COMBB(_u18028, tc_HOL_Obool, _u18029), hAPP(c_fequal, hAPP(_u18032, _u18030))), _u18032)), _u18031)) != _u18030) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18029, _u18028, _u18032), _u18030), c_List_Oremove1(_u18029, _u18030, _u18031)) = _u18031) )).
% 12.54/12.79 cnf(matrix-7482, plain, ( ~class_Orderings_Olinorder(_u18033) | c_List_Olinorder__class_Osorted(_u18033, c_List_Olist_ONil(_u18033)) )).
% 12.54/12.79 cnf(matrix-7483, plain, ( ~class_Orderings_Olinorder(_u18034) | c_List_Olinorder__class_Osorted(_u18034, hAPP(hAPP(c_List_Olist_OCons(_u18034), _u18035), c_List_Olist_ONil(_u18034))) )).
% 12.54/12.79 cnf(matrix-7484, plain, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, c_List_Oupt(_u18036, _u18037)) )).
% 12.54/12.79 cnf(matrix-7485, plain, ( ~class_Orderings_Olinorder(_u18038) | c_List_Olinorder__class_Osorted(_u18038, c_List_Olinorder__class_Osort__key(_u18038, _u18038, c_COMBI(_u18038), _u18039)) )).
% 12.54/12.79 cnf(matrix-7486, plain, ( ~class_Orderings_Olinorder(_u18040) | ~c_List_Olinorder__class_Osorted(_u18040, _u18041) | c_List_Olinorder__class_Osorted(_u18040, c_List_Olinorder__class_Oinsort__insert__key(_u18040, _u18040, c_COMBI(_u18040), _u18042, _u18041)) )).
% 12.54/12.79 cnf(matrix-7487, plain, ( ~class_Orderings_Olinorder(_u18043) | ~c_List_Olinorder__class_Osorted(_u18043, _u18044) | c_List_Olinorder__class_Osorted(_u18043, hAPP(c_List_Otl(_u18043), _u18044)) )).
% 12.54/12.79 cnf(matrix-7488, plain, ( ~class_Orderings_Olinorder(_u18045) | ~c_List_Olinorder__class_Osorted(_u18045, _u18046) | c_List_Olinorder__class_Osorted(_u18045, c_List_Oremove1(_u18045, _u18047, _u18046)) )).
% 12.54/12.79 cnf(matrix-7489, plain, ( ~class_Orderings_Olinorder(_u18048) | ~c_List_Olinorder__class_Osorted(_u18048, _u18049) | c_List_Olinorder__class_Osorted(_u18048, hAPP(hAPP(c_List_Otake(_u18048), _u18050), _u18049)) )).
% 12.54/12.79 cnf(matrix-7490, plain, ( c_List_Olinorder__class_Osorted(tc_Int_Oint, c_List_Oupto(_u18051, _u18052)) )).
% 12.54/12.79 cnf(matrix-7491, plain, ( ~class_Orderings_Olinorder(_u18053) | ~c_List_Olinorder__class_Osorted(_u18053, _u18054) | c_List_Olinorder__class_Osorted(_u18053, hAPP(hAPP(c_List_Odrop(_u18053), _u18055), _u18054)) )).
% 12.54/12.79 cnf(matrix-7492, plain, ( ~class_Orderings_Olinorder(_u18056) | ~c_List_Olinorder__class_Osorted(_u18056, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18056, _u18056, c_COMBI(_u18056)), _u18057), _u18058)) | c_List_Olinorder__class_Osorted(_u18056, _u18058) )).
% 12.54/12.79 cnf(matrix-7493, plain, ( ~class_Orderings_Olinorder(_u18056) | ~c_List_Olinorder__class_Osorted(_u18056, _u18058) | c_List_Olinorder__class_Osorted(_u18056, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18056, _u18056, c_COMBI(_u18056)), _u18057), _u18058)) )).
% 12.54/12.79 cnf(matrix-7494, plain, ( ~class_Orderings_Olinorder(_u18059) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18059), _u18060), _u18061)) | ~c_List_Olinorder__class_Osorted(_u18059, hAPP(hAPP(c_List_Olist_OCons(_u18059), _u18061), _u18062)) | c_List_Olinorder__class_Osorted(_u18059, hAPP(hAPP(c_List_Olist_OCons(_u18059), _u18060), hAPP(hAPP(c_List_Olist_OCons(_u18059), _u18061), _u18062))) )).
% 12.54/12.79 cnf(matrix-7495, plain, ( ~class_Orderings_Olinorder(_u18063) | ~c_List_Olinorder__class_Osorted(_u18063, hAPP(hAPP(c_List_Olist_OCons(_u18063), _u18064), hAPP(hAPP(c_List_Olist_OCons(_u18063), _u18065), _u18066))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18063), _u18064), _u18065)) )).
% 12.54/12.79 cnf(matrix-7496, plain, ( ~class_Orderings_Olinorder(_u18063) | ~c_List_Olinorder__class_Osorted(_u18063, hAPP(hAPP(c_List_Olist_OCons(_u18063), _u18064), hAPP(hAPP(c_List_Olist_OCons(_u18063), _u18065), _u18066))) | c_List_Olinorder__class_Osorted(_u18063, hAPP(hAPP(c_List_Olist_OCons(_u18063), _u18065), _u18066)) )).
% 12.54/12.79 cnf(matrix-7497, plain, ( ~class_Orderings_Olinorder(_u18063) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18063), _u18064), _u18065)) | ~c_List_Olinorder__class_Osorted(_u18063, hAPP(hAPP(c_List_Olist_OCons(_u18063), _u18065), _u18066)) | c_List_Olinorder__class_Osorted(_u18063, hAPP(hAPP(c_List_Olist_OCons(_u18063), _u18064), hAPP(hAPP(c_List_Olist_OCons(_u18063), _u18065), _u18066))) )).
% 12.54/12.79 cnf(matrix-7498, plain, ( ~class_Orderings_Olinorder(_u18067) | c_List_Olinorder__class_Osorted(_u18067, c_List_Olist_ONil(_u18067)) )).
% 12.54/12.79 cnf(matrix-7499, plain, ( ~class_Orderings_Olinorder(_u18068) | ( _u18069 = c_List_Olist_ONil(_u18068)) | ~c_List_Olinorder__class_Osorted(_u18068, _u18069) | c_List_Olinorder__class_Osorted(_u18068, c_List_Obutlast(_u18068, _u18069)) )).
% 12.54/12.79 cnf(matrix-7500, plain, ( ~class_Orderings_Olinorder(_u18070) | ~c_List_Olinorder__class_Osorted(_u18070, _u18071) | c_List_Olinorder__class_Osorted(_u18070, c_List_Oremdups(_u18070, _u18071)) )).
% 12.54/12.79 cnf(matrix-7501, plain, ( ~class_Orderings_Olinorder(_u18072) | ~c_List_Olinorder__class_Osorted(_u18072, _u18073) | ~hBOOL(hAPP(c_List_Odistinct(_u18072), _u18073)) | ~c_List_Olinorder__class_Osorted(_u18072, _u18074) | ~hBOOL(hAPP(c_List_Odistinct(_u18072), _u18074)) | ( hAPP(c_List_Oset(_u18072), _u18073) != hAPP(c_List_Oset(_u18072), _u18074)) | ( _u18073 = _u18074) )).
% 12.54/12.79 cnf(matrix-7502, plain, ( ~class_Orderings_Olinorder(_u18075) | c_List_Olinorder__class_Osorted(_u18075, hAPP(hAPP(c_List_Omap(_u18076, _u18075), _u18077), c_List_Olinorder__class_Osort__key(_u18076, _u18075, _u18077, _u18078))) )).
% 12.54/12.79 cnf(matrix-7503, plain, ( ~class_Orderings_Olinorder(_u18079) | ~c_List_Olinorder__class_Osorted(_u18079, hAPP(hAPP(c_List_Omap(_u18080, _u18079), _u18081), _u18082)) | c_List_Olinorder__class_Osorted(_u18079, hAPP(hAPP(c_List_Omap(_u18080, _u18079), _u18081), c_List_Olinorder__class_Oinsort__insert__key(_u18080, _u18079, _u18081, _u18083, _u18082))) )).
% 12.54/12.79 cnf(matrix-7504, plain, ( ~class_Orderings_Olinorder(_u18084) | ~c_List_Olinorder__class_Osorted(_u18084, hAPP(hAPP(c_List_Omap(_u18085, _u18084), _u18086), _u18087)) | c_List_Olinorder__class_Osorted(_u18084, hAPP(hAPP(c_List_Omap(_u18085, _u18084), _u18086), c_List_Oremove1(_u18085, _u18088, _u18087))) )).
% 12.54/12.79 cnf(matrix-7505, plain, ( ~class_Orderings_Olinorder(_u18089) | ~c_List_Olinorder__class_Osorted(_u18089, hAPP(hAPP(c_List_Omap(_u18090, _u18089), _u18091), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18090, _u18089, _u18091), _u18092), _u18093))) | c_List_Olinorder__class_Osorted(_u18089, hAPP(hAPP(c_List_Omap(_u18090, _u18089), _u18091), _u18093)) )).
% 12.54/12.79 cnf(matrix-7506, plain, ( ~class_Orderings_Olinorder(_u18089) | ~c_List_Olinorder__class_Osorted(_u18089, hAPP(hAPP(c_List_Omap(_u18090, _u18089), _u18091), _u18093)) | c_List_Olinorder__class_Osorted(_u18089, hAPP(hAPP(c_List_Omap(_u18090, _u18089), _u18091), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18090, _u18089, _u18091), _u18092), _u18093))) )).
% 12.54/12.79 cnf(matrix-7507, plain, ( ~class_Orderings_Olinorder(_u18094) | c_List_Olinorder__class_Osorted(_u18094, hAPP(hAPP(c_List_Omap(_u18095, _u18094), _u18096), hAPP(c_List_Ofilter(_u18095, hAPP(hAPP(c_COMBC(_u18095, _u18094, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18094, tc_fun(_u18094, tc_HOL_Obool), _u18095), c_fequal), _u18096)), hAPP(_u18097, _u18098))), _u18098))) )).
% 12.54/12.79 cnf(matrix-7508, plain, ( ~class_Orderings_Olinorder(_u18099) | ~c_List_Olinorder__class_Osorted(_u18099, hAPP(hAPP(c_List_Omap(_u18100, _u18099), _u18101), _u18102)) | c_List_Olinorder__class_Osorted(_u18099, hAPP(hAPP(c_List_Omap(_u18100, _u18099), _u18101), hAPP(c_List_Ofilter(_u18100, _u18103), _u18102))) )).
% 12.54/12.79 cnf(matrix-7509, plain, ( ~class_Orderings_Olinorder(_u18104) | c_List_Olinorder__class_Osorted(_u18104, hAPP(c_List_Ofilter(_u18104, hAPP(hAPP(c_COMBC(_u18104, _u18104, tc_HOL_Obool), c_fequal), hAPP(_u18105, _u18106))), _u18106)) )).
% 12.54/12.79 cnf(matrix-7510, plain, ( ~class_Orderings_Olinorder(_u18109) | ~c_List_Olinorder__class_Osorted(_u18109, hAPP(hAPP(c_List_Olist_OCons(_u18109), _u18110), _u18111)) | c_List_Olinorder__class_Osorted(_u18109, _u18111) )).
% 12.54/12.79 cnf(matrix-7511, plain, ( ~class_Orderings_Olinorder(_u18109) | ~c_List_Olinorder__class_Osorted(_u18109, hAPP(hAPP(c_List_Olist_OCons(_u18109), _u18110), _u18111)) | ~hBOOL(hAPP(hAPP(c_member(_u18109), _u18107), hAPP(c_List_Oset(_u18109), _u18111))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18109), _u18110), _u18107)) )).
% 12.54/12.79 cnf(matrix-7512, plain, ( ~class_Orderings_Olinorder(_u18109) | c_List_Olinorder__class_Osorted(_u18109, hAPP(hAPP(c_List_Olist_OCons(_u18109), _u18110), _u18111)) | ~c_List_Olinorder__class_Osorted(_u18109, _u18111) | hBOOL(hAPP(hAPP(c_member(_u18109), skolem464(_u18111, _u18110, _u18109)), hAPP(c_List_Oset(_u18109), _u18111))) )).
% 12.54/12.79 cnf(matrix-7513, plain, ( ~class_Orderings_Olinorder(_u18109) | c_List_Olinorder__class_Osorted(_u18109, hAPP(hAPP(c_List_Olist_OCons(_u18109), _u18110), _u18111)) | ~c_List_Olinorder__class_Osorted(_u18109, _u18111) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18109), _u18110), skolem464(_u18111, _u18110, _u18109))) )).
% 12.54/12.79 cnf(matrix-7514, plain, ( ~class_Orderings_Olinorder(_u18116) | ~c_List_Olinorder__class_Osorted(_u18116, hAPP(hAPP(c_List_Oappend(_u18116), _u18117), _u18118)) | c_List_Olinorder__class_Osorted(_u18116, _u18117) )).
% 12.54/12.79 cnf(matrix-7515, plain, ( ~class_Orderings_Olinorder(_u18116) | ~c_List_Olinorder__class_Osorted(_u18116, hAPP(hAPP(c_List_Oappend(_u18116), _u18117), _u18118)) | c_List_Olinorder__class_Osorted(_u18116, _u18118) )).
% 12.54/12.79 cnf(matrix-7516, plain, ( ~class_Orderings_Olinorder(_u18116) | ~c_List_Olinorder__class_Osorted(_u18116, hAPP(hAPP(c_List_Oappend(_u18116), _u18117), _u18118)) | ~hBOOL(hAPP(hAPP(c_member(_u18116), _u18113), hAPP(c_List_Oset(_u18116), _u18117))) | ~hBOOL(hAPP(hAPP(c_member(_u18116), _u18112), hAPP(c_List_Oset(_u18116), _u18118))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18116), _u18113), _u18112)) )).
% 12.54/12.79 cnf(matrix-7517, plain, ( ~class_Orderings_Olinorder(_u18116) | c_List_Olinorder__class_Osorted(_u18116, hAPP(hAPP(c_List_Oappend(_u18116), _u18117), _u18118)) | ~c_List_Olinorder__class_Osorted(_u18116, _u18117) | ~c_List_Olinorder__class_Osorted(_u18116, _u18118) | hBOOL(hAPP(hAPP(c_member(_u18116), skolem465(_u18118, _u18117, _u18116)), hAPP(c_List_Oset(_u18116), _u18117))) )).
% 12.54/12.79 cnf(matrix-7518, plain, ( ~class_Orderings_Olinorder(_u18116) | c_List_Olinorder__class_Osorted(_u18116, hAPP(hAPP(c_List_Oappend(_u18116), _u18117), _u18118)) | ~c_List_Olinorder__class_Osorted(_u18116, _u18117) | ~c_List_Olinorder__class_Osorted(_u18116, _u18118) | hBOOL(hAPP(hAPP(c_member(_u18116), skolem466(_u18118, _u18117, _u18116)), hAPP(c_List_Oset(_u18116), _u18118))) )).
% 12.54/12.79 cnf(matrix-7519, plain, ( ~class_Orderings_Olinorder(_u18116) | c_List_Olinorder__class_Osorted(_u18116, hAPP(hAPP(c_List_Oappend(_u18116), _u18117), _u18118)) | ~c_List_Olinorder__class_Osorted(_u18116, _u18117) | ~c_List_Olinorder__class_Osorted(_u18116, _u18118) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18116), skolem465(_u18118, _u18117, _u18116)), skolem466(_u18118, _u18117, _u18116))) )).
% 12.54/12.79 cnf(matrix-7520, plain, ( ~class_Orderings_Olinorder(_u18119) | ~c_List_Olinorder__class_Osorted(_u18119, hAPP(hAPP(c_List_Omap(_u18120, _u18119), _u18121), _u18122)) | ~hBOOL(hAPP(_u18123, _u18124)) | ( hAPP(c_List_Ofilter(_u18120, _u18123), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18120, _u18119, _u18121), _u18124), _u18122)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18120, _u18119, _u18121), _u18124), hAPP(c_List_Ofilter(_u18120, _u18123), _u18122))) )).
% 12.54/12.79 cnf(matrix-7521, plain, ( ~class_Orderings_Olinorder(_u18127) | ~c_List_Olinorder__class_Osorted(_u18127, hAPP(hAPP(c_List_Olist_OCons(_u18127), _u18128), _u18129)) | ~hBOOL(hAPP(hAPP(c_member(_u18127), _u18125), hAPP(c_List_Oset(_u18127), _u18129))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18127), _u18128), _u18125)) )).
% 12.54/12.79 cnf(matrix-7522, plain, ( ~class_Orderings_Olinorder(_u18127) | ~c_List_Olinorder__class_Osorted(_u18127, hAPP(hAPP(c_List_Olist_OCons(_u18127), _u18128), _u18129)) | c_List_Olinorder__class_Osorted(_u18127, _u18129) )).
% 12.54/12.79 cnf(matrix-7523, plain, ( ~class_Orderings_Olinorder(_u18127) | c_List_Olinorder__class_Osorted(_u18127, hAPP(hAPP(c_List_Olist_OCons(_u18127), _u18128), _u18129)) | ~c_List_Olinorder__class_Osorted(_u18127, _u18129) | hBOOL(hAPP(hAPP(c_member(_u18127), skolem467(_u18129, _u18128, _u18127)), hAPP(c_List_Oset(_u18127), _u18129))) )).
% 12.54/12.79 cnf(matrix-7524, plain, ( ~class_Orderings_Olinorder(_u18127) | c_List_Olinorder__class_Osorted(_u18127, hAPP(hAPP(c_List_Olist_OCons(_u18127), _u18128), _u18129)) | ~c_List_Olinorder__class_Osorted(_u18127, _u18129) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18127), _u18128), skolem467(_u18129, _u18128, _u18127))) )).
% 12.54/12.79 cnf(matrix-7525, plain, ( ~class_Orderings_Olinorder(_u18130) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18130), _u18131)) | ( hAPP(c_List_Oset(_u18130), c_List_Olinorder__class_Osorted__list__of__set(_u18130, _u18131)) = _u18131) )).
% 12.54/12.79 cnf(matrix-7526, plain, ( ~class_Orderings_Olinorder(_u18130) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18130), _u18131)) | c_List_Olinorder__class_Osorted(_u18130, c_List_Olinorder__class_Osorted__list__of__set(_u18130, _u18131)) )).
% 12.54/12.79 cnf(matrix-7527, plain, ( ~class_Orderings_Olinorder(_u18130) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18130), _u18131)) | hBOOL(hAPP(c_List_Odistinct(_u18130), c_List_Olinorder__class_Osorted__list__of__set(_u18130, _u18131))) )).
% 12.54/12.79 cnf(matrix-7528, plain, ( ~class_Orderings_Olinorder(_u18132) | ~hBOOL(hAPP(hAPP(c_member(_u18132), _u18133), hAPP(c_List_Oset(_u18132), _u18134))) | ~c_List_Olinorder__class_Osorted(_u18132, _u18134) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18132, _u18132, c_COMBI(_u18132)), _u18133), c_List_Oremove1(_u18132, _u18133, _u18134)) = _u18134) )).
% 12.54/12.79 cnf(matrix-7529, plain, ( ~class_Orderings_Olinorder(_u18139) | ~c_List_Olinorder__class_Osorted(_u18139, _u18140) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18136), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18139)), _u18140))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18135), _u18136)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18139), hAPP(hAPP(c_List_Onth(_u18139), _u18140), _u18135)), hAPP(hAPP(c_List_Onth(_u18139), _u18140), _u18136))) )).
% 12.54/12.79 cnf(matrix-7530, plain, ( ~class_Orderings_Olinorder(_u18139) | c_List_Olinorder__class_Osorted(_u18139, _u18140) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem468(_u18140, _u18139)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18139)), _u18140))) )).
% 12.54/12.79 cnf(matrix-7531, plain, ( ~class_Orderings_Olinorder(_u18139) | c_List_Olinorder__class_Osorted(_u18139, _u18140) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem469(_u18140, _u18139)), skolem468(_u18140, _u18139))) )).
% 12.54/12.79 cnf(matrix-7532, plain, ( ~class_Orderings_Olinorder(_u18139) | c_List_Olinorder__class_Osorted(_u18139, _u18140) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18139), hAPP(hAPP(c_List_Onth(_u18139), _u18140), skolem469(_u18140, _u18139))), hAPP(hAPP(c_List_Onth(_u18139), _u18140), skolem468(_u18140, _u18139)))) )).
% 12.54/12.79 cnf(matrix-7533, plain, ( ~class_Orderings_Olinorder(_u18141) | ~c_List_Olinorder__class_Osorted(_u18141, _u18142) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18143), _u18144)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18144), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18141)), _u18142))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18141), hAPP(hAPP(c_List_Onth(_u18141), _u18142), _u18143)), hAPP(hAPP(c_List_Onth(_u18141), _u18142), _u18144))) )).
% 12.54/12.79 cnf(matrix-7534, plain, ( ~class_Orderings_Olinorder(_u18145) | ~c_Fun_Oinj__on(_u18146, _u18145, _u18147, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18146, tc_HOL_Obool)), hAPP(c_List_Oset(_u18146), _u18148)), hAPP(c_List_Oset(_u18146), _u18149))) | ~c_List_Olinorder__class_Osorted(_u18145, hAPP(hAPP(c_List_Omap(_u18146, _u18145), _u18147), _u18148)) | ~hBOOL(hAPP(c_List_Odistinct(_u18145), hAPP(hAPP(c_List_Omap(_u18146, _u18145), _u18147), _u18148))) | ~c_List_Olinorder__class_Osorted(_u18145, hAPP(hAPP(c_List_Omap(_u18146, _u18145), _u18147), _u18149)) | ~hBOOL(hAPP(c_List_Odistinct(_u18145), hAPP(hAPP(c_List_Omap(_u18146, _u18145), _u18147), _u18149))) | ( hAPP(c_List_Oset(_u18146), _u18148) != hAPP(c_List_Oset(_u18146), _u18149)) | ( _u18148 = _u18149) )).
% 12.54/12.79 cnf(matrix-7535, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18150), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18150))), _u18151))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18152), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18150))), _u18151))) | ( hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18150), _u18150), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18150), tc_Nat_Onat, _u18150), c_List_Onth(_u18150)), _u18152)), hAPP(c_List_Ofilter(tc_List_Olist(_u18150), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18150)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18152)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18150)))), c_List_Otranspose(_u18150, _u18151))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18150)), _u18151), _u18152)) )).
% 12.54/12.79 cnf(matrix-7536, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18153), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18153))), _u18154))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18155), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18153))), c_List_Otranspose(_u18153, _u18154)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18156), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18153))), hAPP(c_List_Ofilter(tc_List_Olist(_u18153), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18153)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18155)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18153)))), _u18154)))) | ( hAPP(hAPP(c_List_Onth(_u18153), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18153)), c_List_Otranspose(_u18153, _u18154)), _u18155)), _u18156) = hAPP(hAPP(c_List_Onth(_u18153), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18153)), _u18154), _u18156)), _u18155)) )).
% 12.54/12.79 cnf(matrix-7537, plain, ( c_Fun_Oinj__on(tc_List_Olist(_u18157), tc_List_Olist(_u18157), c_List_Orev(_u18157), _u18158) )).
% 12.54/12.79 cnf(matrix-7538, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18161), hAPP(c_List_Orev(_u18161), _u18163))) | hBOOL(hAPP(c_List_Odistinct(_u18161), _u18163)) )).
% 12.54/12.79 cnf(matrix-7539, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18162), _u18164)) | hBOOL(hAPP(c_List_Odistinct(_u18162), hAPP(c_List_Orev(_u18162), _u18164))) )).
% 12.54/12.79 cnf(matrix-7540, plain, ( ( hAPP(c_List_Orev(_u18165), hAPP(hAPP(c_List_Oappend(_u18165), _u18166), _u18167)) = hAPP(hAPP(c_List_Oappend(_u18165), hAPP(c_List_Orev(_u18165), _u18167)), hAPP(c_List_Orev(_u18165), _u18166))) )).
% 12.54/12.79 cnf(matrix-7541, plain, ( ( hAPP(c_List_Orev(_u18171), _u18173) != hAPP(hAPP(c_List_Olist_OCons(_u18171), _u18175), c_List_Olist_ONil(_u18171))) | ( _u18173 = hAPP(hAPP(c_List_Olist_OCons(_u18171), _u18175), c_List_Olist_ONil(_u18171))) )).
% 12.54/12.79 cnf(matrix-7542, plain, ( ( _u18174 != hAPP(hAPP(c_List_Olist_OCons(_u18172), _u18176), c_List_Olist_ONil(_u18172))) | ( hAPP(c_List_Orev(_u18172), _u18174) = hAPP(hAPP(c_List_Olist_OCons(_u18172), _u18176), c_List_Olist_ONil(_u18172))) )).
% 12.54/12.79 cnf(matrix-7543, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18180), _u18182), c_List_Olist_ONil(_u18180)) != hAPP(c_List_Orev(_u18180), _u18184)) | ( _u18184 = hAPP(hAPP(c_List_Olist_OCons(_u18180), _u18182), c_List_Olist_ONil(_u18180))) )).
% 12.54/12.79 cnf(matrix-7544, plain, ( ( _u18185 != hAPP(hAPP(c_List_Olist_OCons(_u18181), _u18183), c_List_Olist_ONil(_u18181))) | ( hAPP(hAPP(c_List_Olist_OCons(_u18181), _u18183), c_List_Olist_ONil(_u18181)) = hAPP(c_List_Orev(_u18181), _u18185)) )).
% 12.54/12.79 cnf(matrix-7545, plain, ( ( hAPP(c_List_Orev(_u18186), c_List_Olist_ONil(_u18186)) = c_List_Olist_ONil(_u18186)) )).
% 12.54/12.79 cnf(matrix-7546, plain, ( ( c_List_Olist_ONil(_u18189) != hAPP(c_List_Orev(_u18189), _u18191)) | ( _u18191 = c_List_Olist_ONil(_u18189)) )).
% 12.54/12.79 cnf(matrix-7547, plain, ( ( _u18192 != c_List_Olist_ONil(_u18190)) | ( c_List_Olist_ONil(_u18190) = hAPP(c_List_Orev(_u18190), _u18192)) )).
% 12.54/12.79 cnf(matrix-7548, plain, ( ( hAPP(c_List_Orev(_u18195), _u18197) != c_List_Olist_ONil(_u18195)) | ( _u18197 = c_List_Olist_ONil(_u18195)) )).
% 12.54/12.79 cnf(matrix-7549, plain, ( ( _u18198 != c_List_Olist_ONil(_u18196)) | ( hAPP(c_List_Orev(_u18196), _u18198) = c_List_Olist_ONil(_u18196)) )).
% 12.54/12.79 cnf(matrix-7550, plain, ( ( hAPP(c_List_Orev(_u18199), c_List_Oconcat(_u18199, _u18200)) = c_List_Oconcat(_u18199, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18199), tc_List_Olist(_u18199)), c_List_Orev(_u18199)), hAPP(c_List_Orev(tc_List_Olist(_u18199)), _u18200)))) )).
% 12.54/12.79 cnf(matrix-7551, plain, ( ( hAPP(c_List_Orev(_u18201), hAPP(hAPP(c_List_Omap(_u18202, _u18201), _u18203), _u18204)) = hAPP(hAPP(c_List_Omap(_u18202, _u18201), _u18203), hAPP(c_List_Orev(_u18202), _u18204))) )).
% 12.54/12.79 cnf(matrix-7552, plain, ( ( hAPP(c_List_Orev(_u18205), hAPP(c_List_Ofilter(_u18205, _u18206), _u18207)) = hAPP(c_List_Ofilter(_u18205, _u18206), hAPP(c_List_Orev(_u18205), _u18207))) )).
% 12.54/12.79 cnf(matrix-7553, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18208)), _u18209) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18210)), _u18211)) | ( hAPP(hAPP(c_List_Ozip(_u18208, _u18210), hAPP(c_List_Orev(_u18208), _u18209)), hAPP(c_List_Orev(_u18210), _u18211)) = hAPP(c_List_Orev(tc_prod(_u18208, _u18210)), hAPP(hAPP(c_List_Ozip(_u18208, _u18210), _u18209), _u18211))) )).
% 12.54/12.79 cnf(matrix-7554, plain, ( ( hAPP(c_List_Oset(_u18212), hAPP(c_List_Orev(_u18212), _u18213)) = hAPP(c_List_Oset(_u18212), _u18213)) )).
% 12.54/12.79 cnf(matrix-7555, plain, ( ~c_List_Olist__all2(_u18219, _u18221, _u18223, hAPP(c_List_Orev(_u18219), _u18225), _u18227) | c_List_Olist__all2(_u18219, _u18221, _u18223, _u18225, hAPP(c_List_Orev(_u18221), _u18227)) )).
% 12.54/12.79 cnf(matrix-7556, plain, ( ~c_List_Olist__all2(_u18220, _u18222, _u18224, _u18226, hAPP(c_List_Orev(_u18222), _u18228)) | c_List_Olist__all2(_u18220, _u18222, _u18224, hAPP(c_List_Orev(_u18220), _u18226), _u18228) )).
% 12.54/12.79 cnf(matrix-7557, plain, ( ~c_List_Olist__all2(_u18234, _u18236, _u18238, hAPP(c_List_Orev(_u18234), _u18240), hAPP(c_List_Orev(_u18236), _u18242)) | c_List_Olist__all2(_u18234, _u18236, _u18238, _u18240, _u18242) )).
% 12.54/12.79 cnf(matrix-7558, plain, ( ~c_List_Olist__all2(_u18235, _u18237, _u18239, _u18241, _u18243) | c_List_Olist__all2(_u18235, _u18237, _u18239, hAPP(c_List_Orev(_u18235), _u18241), hAPP(c_List_Orev(_u18237), _u18243)) )).
% 12.54/12.79 cnf(matrix-7559, plain, ( ( _u18249 = _u18251) | ( hAPP(c_List_Orev(_u18247), _u18249) != hAPP(c_List_Orev(_u18247), _u18251)) )).
% 12.54/12.79 cnf(matrix-7560, plain, ( ( _u18250 != _u18252) | ( hAPP(c_List_Orev(_u18248), _u18250) = hAPP(c_List_Orev(_u18248), _u18252)) )).
% 12.54/12.79 cnf(matrix-7561, plain, ( ( hAPP(c_List_Orev(_u18256), _u18258) != _u18260) | ( _u18258 = hAPP(c_List_Orev(_u18256), _u18260)) )).
% 12.54/12.79 cnf(matrix-7562, plain, ( ( _u18259 != hAPP(c_List_Orev(_u18257), _u18261)) | ( hAPP(c_List_Orev(_u18257), _u18259) = _u18261) )).
% 12.54/12.79 cnf(matrix-7563, plain, ( ( hAPP(c_List_Orev(_u18262), hAPP(c_List_Orev(_u18262), _u18263)) = _u18263) )).
% 12.54/12.79 cnf(matrix-7564, plain, ( ~class_Groups_Ocomm__monoid__add(_u18264) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18264), hAPP(c_List_Orev(_u18264), _u18265)) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18264), _u18265)) )).
% 12.54/12.79 cnf(matrix-7565, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18266)), hAPP(c_List_Orev(_u18266), _u18267)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18266)), _u18267)) )).
% 12.54/12.79 cnf(matrix-7566, plain, ( ( c_List_Ofoldr(_u18268, _u18269, _u18270, _u18271, _u18272) = hAPP(c_List_Ofoldl(_u18269, _u18268, hAPP(c_COMBC(_u18268, _u18269, _u18269), _u18270), _u18272), hAPP(c_List_Orev(_u18268), _u18271))) )).
% 12.54/12.79 cnf(matrix-7567, plain, ( ( hAPP(c_List_Ofoldl(_u18273, _u18274, _u18275, _u18276), _u18277) = c_List_Ofoldr(_u18274, _u18273, hAPP(c_COMBC(_u18273, _u18274, _u18273), _u18275), hAPP(c_List_Orev(_u18274), _u18277), _u18276)) )).
% 12.54/12.79 cnf(matrix-7568, plain, ( ( hAPP(c_List_Orev(_u18278), hAPP(hAPP(c_List_Olist_OCons(_u18278), _u18279), _u18280)) = hAPP(hAPP(c_List_Oappend(_u18278), hAPP(c_List_Orev(_u18278), _u18280)), hAPP(hAPP(c_List_Olist_OCons(_u18278), _u18279), c_List_Olist_ONil(_u18278)))) )).
% 12.54/12.79 cnf(matrix-7569, plain, ( ( hAPP(c_List_Orev(_u18285), _u18287) != hAPP(hAPP(c_List_Olist_OCons(_u18285), _u18289), _u18291)) | ( _u18287 = hAPP(hAPP(c_List_Oappend(_u18285), hAPP(c_List_Orev(_u18285), _u18291)), hAPP(hAPP(c_List_Olist_OCons(_u18285), _u18289), c_List_Olist_ONil(_u18285)))) )).
% 12.54/12.79 cnf(matrix-7570, plain, ( ( _u18288 != hAPP(hAPP(c_List_Oappend(_u18286), hAPP(c_List_Orev(_u18286), _u18292)), hAPP(hAPP(c_List_Olist_OCons(_u18286), _u18290), c_List_Olist_ONil(_u18286)))) | ( hAPP(c_List_Orev(_u18286), _u18288) = hAPP(hAPP(c_List_Olist_OCons(_u18286), _u18290), _u18292)) )).
% 12.54/12.79 cnf(matrix-7571, plain, ( ( _u18293 = c_List_Olist_ONil(_u18294)) | ( c_List_Olast(_u18294, hAPP(c_List_Orev(_u18294), _u18293)) = hAPP(c_List_Ohd(_u18294), _u18293)) )).
% 12.54/12.79 cnf(matrix-7572, plain, ( ( _u18295 = c_List_Olist_ONil(_u18296)) | ( hAPP(c_List_Ohd(_u18296), hAPP(c_List_Orev(_u18296), _u18295)) = c_List_Olast(_u18296, _u18295)) )).
% 12.54/12.79 cnf(matrix-7573, plain, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18297), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18297))), c_List_Otranspose(_u18297, _u18298)))) )).
% 12.54/12.79 cnf(matrix-7574, plain, ( ( hAPP(c_List_Orev(_u18299), _u18300) = hAPP(c_List_Ofoldl(tc_List_Olist(_u18299), _u18299, hAPP(c_COMBC(_u18299, tc_List_Olist(_u18299), tc_List_Olist(_u18299)), c_List_Olist_OCons(_u18299)), c_List_Olist_ONil(_u18299)), _u18300)) )).
% 12.54/12.79 cnf(matrix-7575, plain, ( ( hAPP(c_List_Orev(_u18301), hAPP(hAPP(c_List_Otake(_u18301), _u18302), _u18303)) = hAPP(hAPP(c_List_Odrop(_u18301), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18301)), _u18303)), _u18302)), hAPP(c_List_Orev(_u18301), _u18303))) )).
% 12.54/12.79 cnf(matrix-7576, plain, ( ( hAPP(c_List_Orev(_u18304), hAPP(hAPP(c_List_Odrop(_u18304), _u18305), _u18306)) = hAPP(hAPP(c_List_Otake(_u18304), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18304)), _u18306)), _u18305)), hAPP(c_List_Orev(_u18304), _u18306))) )).
% 12.54/12.79 cnf(matrix-7577, plain, ( ( hAPP(c_List_Orotate(_u18307, _u18308), hAPP(c_List_Orev(_u18307), _u18309)) = hAPP(c_List_Orev(_u18307), hAPP(c_List_Orotate(_u18307, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18307)), _u18309)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u18308, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18307)), _u18309)))), _u18309))) )).
% 12.54/12.79 cnf(matrix-7578, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18310), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18311)), _u18312))) | ( hAPP(hAPP(c_List_Onth(_u18311), hAPP(c_List_Orev(_u18311), _u18312)), _u18310) = hAPP(hAPP(c_List_Onth(_u18311), _u18312), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18311)), _u18312)), hAPP(c_Nat_OSuc, _u18310)))) )).
% 12.54/12.79 cnf(matrix-7579, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18313), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18314)), _u18315))) | ( hAPP(c_List_Orev(_u18314), hAPP(hAPP(c_List_Olist__update(_u18314, _u18315), _u18313), _u18316)) = hAPP(hAPP(c_List_Olist__update(_u18314, hAPP(c_List_Orev(_u18314), _u18315)), 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(_u18314)), _u18315)), _u18313)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u18316)) )).
% 12.54/12.79 cnf(matrix-7580, plain, ( ~class_Orderings_Olinorder(_u18317) | ~c_List_Olinorder__class_Osorted(_u18317, hAPP(c_List_Orev(_u18317), _u18318)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18319), _u18320)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18320), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18317)), _u18318))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18317), hAPP(hAPP(c_List_Onth(_u18317), _u18318), _u18320)), hAPP(hAPP(c_List_Onth(_u18317), _u18318), _u18319))) )).
% 12.54/12.79 cnf(matrix-7581, plain, ( ~class_Orderings_Olinorder(_u18321) | ~c_List_Olinorder__class_Osorted(_u18321, hAPP(c_List_Orev(_u18321), _u18322)) | ( _u18322 != c_List_Olist_ONil(_u18321)) | ( c_List_Ofoldr(_u18321, _u18321, c_Orderings_Oord__class_Omax(_u18321), _u18322, _u18323) = _u18323) )).
% 12.54/12.79 cnf(matrix-7582, plain, ( ~class_Orderings_Olinorder(_u18321) | ~c_List_Olinorder__class_Osorted(_u18321, hAPP(c_List_Orev(_u18321), _u18322)) | ( _u18322 = c_List_Olist_ONil(_u18321)) | ( c_List_Ofoldr(_u18321, _u18321, c_Orderings_Oord__class_Omax(_u18321), _u18322, _u18323) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u18321), hAPP(hAPP(c_List_Onth(_u18321), _u18322), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u18323)) )).
% 12.54/12.79 cnf(matrix-7583, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18324), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18324))), _u18325))) | ( _u18325 != c_List_Olist_ONil(tc_List_Olist(_u18324))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18324))), c_List_Otranspose(_u18324, _u18325)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.79 cnf(matrix-7584, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18324), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18324))), _u18325))) | ( _u18325 = c_List_Olist_ONil(tc_List_Olist(_u18324))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18324))), c_List_Otranspose(_u18324, _u18325)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18324)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18324)), _u18325), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.54/12.79 cnf(matrix-7585, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18326), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18326))), _u18327))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18328), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18326))), _u18327))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18326))), hAPP(c_List_Ofilter(tc_List_Olist(_u18326), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18326)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18328)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18326)))), c_List_Otranspose(_u18326, _u18327))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18326)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18326)), _u18327), _u18328))) )).
% 12.54/12.79 cnf(matrix-7586, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18329), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18329))), _u18330))) | ( c_List_Otranspose(_u18329, c_List_Otranspose(_u18329, _u18330)) = c_List_OtakeWhile(tc_List_Olist(_u18329), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18329)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18329), tc_List_Olist(_u18329), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18329))), _u18330)) )).
% 12.54/12.79 cnf(matrix-7587, plain, ( ( c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint))) )).
% 12.54/12.79 cnf(matrix-7588, plain, ( ~class_Orderings_Olinorder(_u18331) | ~c_List_Olinorder__class_Osorted(_u18331, _u18332) | c_List_Olinorder__class_Osorted(_u18331, c_List_OtakeWhile(_u18331, _u18333, _u18332)) )).
% 12.54/12.79 cnf(matrix-7589, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18334)), c_List_OtakeWhile(_u18334, _u18335, _u18336))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18334)), _u18336))) )).
% 12.54/12.79 cnf(matrix-7590, plain, ( ( c_List_OtakeWhile(_u18342, _u18344, _u18346) != _u18346) | ~hBOOL(hAPP(hAPP(c_member(_u18342), _u18337), hAPP(c_List_Oset(_u18342), _u18346))) | hBOOL(hAPP(_u18344, _u18337)) )).
% 12.54/12.79 cnf(matrix-7591, plain, ( ( c_List_OtakeWhile(_u18343, _u18345, _u18347) = _u18347) | hBOOL(hAPP(hAPP(c_member(_u18343), skolem470(_u18347, _u18345, _u18343)), hAPP(c_List_Oset(_u18343), _u18347))) )).
% 12.54/12.79 cnf(matrix-7592, plain, ( ( c_List_OtakeWhile(_u18343, _u18345, _u18347) = _u18347) | ~hBOOL(hAPP(_u18345, skolem470(_u18347, _u18345, _u18343))) )).
% 12.54/12.79 cnf(matrix-7593, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18348), _u18349), hAPP(c_List_Oset(_u18348), c_List_OtakeWhile(_u18348, _u18350, _u18351)))) | hBOOL(hAPP(hAPP(c_member(_u18348), _u18349), hAPP(c_List_Oset(_u18348), _u18351))) )).
% 12.54/12.79 cnf(matrix-7594, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18348), _u18349), hAPP(c_List_Oset(_u18348), c_List_OtakeWhile(_u18348, _u18350, _u18351)))) | hBOOL(hAPP(_u18350, _u18349)) )).
% 12.54/12.79 cnf(matrix-7595, plain, ( ( hAPP(hAPP(c_List_Ozip(_u18352, _u18353), c_List_OtakeWhile(_u18352, _u18354, _u18355)), _u18356) = c_List_OtakeWhile(tc_prod(_u18352, _u18353), hAPP(c_Fun_Ocomp(_u18352, tc_HOL_Obool, tc_prod(_u18352, _u18353), _u18354), c_Product__Type_Ofst(_u18352, _u18353)), hAPP(hAPP(c_List_Ozip(_u18352, _u18353), _u18355), _u18356))) )).
% 12.54/12.79 cnf(matrix-7596, plain, ( ( hAPP(hAPP(c_List_Ozip(_u18357, _u18358), _u18359), c_List_OtakeWhile(_u18358, _u18360, _u18361)) = c_List_OtakeWhile(tc_prod(_u18357, _u18358), hAPP(c_Fun_Ocomp(_u18358, tc_HOL_Obool, tc_prod(_u18357, _u18358), _u18360), c_Product__Type_Osnd(_u18357, _u18358)), hAPP(hAPP(c_List_Ozip(_u18357, _u18358), _u18359), _u18361))) )).
% 12.54/12.79 cnf(matrix-7597, plain, ( ( c_List_OtakeWhile(_u18362, _u18363, hAPP(hAPP(c_List_Omap(_u18364, _u18362), _u18365), _u18366)) = hAPP(hAPP(c_List_Omap(_u18364, _u18362), _u18365), c_List_OtakeWhile(_u18364, hAPP(c_Fun_Ocomp(_u18362, tc_HOL_Obool, _u18364, _u18363), _u18365), _u18366))) )).
% 12.54/12.79 cnf(matrix-7598, plain, ( ( c_List_OtakeWhile(_u18367, _u18368, c_List_Olist_ONil(_u18367)) = c_List_Olist_ONil(_u18367)) )).
% 12.54/12.79 cnf(matrix-7599, plain, ( ~hBOOL(hAPP(_u18373, _u18375)) | ( c_List_OtakeWhile(_u18377, _u18373, hAPP(hAPP(c_List_Olist_OCons(_u18377), _u18375), _u18379)) = hAPP(hAPP(c_List_Olist_OCons(_u18377), _u18375), c_List_OtakeWhile(_u18377, _u18373, _u18379))) )).
% 12.54/12.79 cnf(matrix-7600, plain, ( hBOOL(hAPP(_u18374, _u18376)) | ( c_List_OtakeWhile(_u18378, _u18374, hAPP(hAPP(c_List_Olist_OCons(_u18378), _u18376), _u18380)) = c_List_Olist_ONil(_u18378)) )).
% 12.54/12.79 cnf(matrix-7601, plain, ( hBOOL(hAPP(_u18381, _u18382)) | ( c_List_OtakeWhile(_u18383, _u18381, hAPP(hAPP(c_List_Oappend(_u18383), _u18384), hAPP(hAPP(c_List_Olist_OCons(_u18383), _u18382), _u18385))) = c_List_OtakeWhile(_u18383, _u18381, _u18384)) )).
% 12.54/12.79 cnf(matrix-7602, plain, ( ( c_List_OtakeWhile(_u18386, _u18387, _u18388) = hAPP(hAPP(c_List_Otake(_u18386), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18386)), c_List_OtakeWhile(_u18386, _u18387, _u18388))), _u18388)) )).
% 12.54/12.79 cnf(matrix-7603, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18389), _u18390)) | hBOOL(hAPP(c_List_Odistinct(_u18389), c_List_OtakeWhile(_u18389, _u18391, _u18390))) )).
% 12.54/12.79 cnf(matrix-7604, plain, ( ( c_List_Oreturn__list(_u18392) = hAPP(hAPP(c_List_Omap(tc_Int_Oint, tc_Nat_Onat), c_Int_Onat), _u18392)) )).
% 12.54/12.79 cnf(matrix-7605, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18393), _u18394), hAPP(c_List_Oset(_u18393), _u18395))) | hBOOL(hAPP(_u18396, _u18394)) | ( c_List_OtakeWhile(_u18393, _u18396, hAPP(hAPP(c_List_Oappend(_u18393), _u18395), _u18397)) = c_List_OtakeWhile(_u18393, _u18396, _u18395)) )).
% 12.54/12.79 cnf(matrix-7606, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18398), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18399)), c_List_OtakeWhile(_u18399, _u18400, _u18401)))) | ( hAPP(hAPP(c_List_Onth(_u18399), c_List_OtakeWhile(_u18399, _u18400, _u18401)), _u18398) = hAPP(hAPP(c_List_Onth(_u18399), _u18401), _u18398)) )).
% 12.54/12.79 cnf(matrix-7607, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18402)), c_List_OtakeWhile(_u18402, _u18403, _u18404))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18402)), _u18404))) | ~hBOOL(hAPP(_u18403, hAPP(hAPP(c_List_Onth(_u18402), _u18404), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18402)), c_List_OtakeWhile(_u18402, _u18403, _u18404))))) )).
% 12.54/12.79 cnf(matrix-7608, plain, ( ( _u18405 = c_List_Olist_ONil(_u18406)) | ~hBOOL(hAPP(c_List_Odistinct(_u18406), _u18405)) | ( c_List_OtakeWhile(_u18406, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18406), c_fNot), hAPP(hAPP(c_COMBC(_u18406, _u18406, tc_HOL_Obool), c_fequal), c_List_Olast(_u18406, _u18405))), _u18405) = c_List_Obutlast(_u18406, _u18405)) )).
% 12.54/12.79 cnf(matrix-7609, plain, ( ~class_Orderings_Olinorder(_u18407) | ~c_List_Olinorder__class_Osorted(_u18407, hAPP(c_List_Orev(_u18407), hAPP(hAPP(c_List_Omap(_u18408, _u18407), _u18409), _u18410))) | ( hAPP(c_List_Ofilter(_u18408, hAPP(hAPP(c_COMBB(_u18407, tc_HOL_Obool, _u18408), hAPP(c_Orderings_Oord__class_Oless(_u18407), _u18411)), _u18409)), _u18410) = c_List_OtakeWhile(_u18408, hAPP(hAPP(c_COMBB(_u18407, tc_HOL_Obool, _u18408), hAPP(c_Orderings_Oord__class_Oless(_u18407), _u18411)), _u18409), _u18410)) )).
% 12.54/12.79 cnf(matrix-7610, plain, ( ~c_List_Onat__list(_u18412) | ( c_List_Oembed__list(c_List_Oreturn__list(_u18412)) = _u18412) )).
% 12.54/12.79 cnf(matrix-7611, plain, ( ( hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), _u18413), _u18414) = c_List_Oreturn__list(hAPP(hAPP(c_List_Oappend(tc_Int_Oint), c_List_Oembed__list(_u18413)), c_List_Oembed__list(_u18414)))) )).
% 12.54/12.79 cnf(matrix-7612, plain, ( ( c_List_Oembed__list(_u18415) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Int_Oint), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u18415)) )).
% 12.54/12.79 cnf(matrix-7613, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18416), _u18417)) | ~hBOOL(hAPP(hAPP(c_member(_u18416), _u18418), hAPP(c_List_Oset(_u18416), _u18417))) | ( c_List_OtakeWhile(_u18416, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18416), c_fNot), hAPP(hAPP(c_COMBC(_u18416, _u18416, tc_HOL_Obool), c_fequal), _u18418)), hAPP(c_List_Orev(_u18416), _u18417)) = hAPP(c_List_Orev(_u18416), hAPP(c_List_Otl(_u18416), c_List_OdropWhile(_u18416, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18416), c_fNot), hAPP(hAPP(c_COMBC(_u18416, _u18416, tc_HOL_Obool), c_fequal), _u18418)), _u18417)))) )).
% 12.54/12.79 cnf(matrix-7614, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18419), _u18420)) | ~hBOOL(hAPP(hAPP(c_member(_u18419), _u18421), hAPP(c_List_Oset(_u18419), _u18420))) | ( c_List_OdropWhile(_u18419, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18419), c_fNot), hAPP(hAPP(c_COMBC(_u18419, _u18419, tc_HOL_Obool), c_fequal), _u18421)), hAPP(c_List_Orev(_u18419), _u18420)) = hAPP(hAPP(c_List_Olist_OCons(_u18419), _u18421), hAPP(c_List_Orev(_u18419), c_List_OtakeWhile(_u18419, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18419), c_fNot), hAPP(hAPP(c_COMBC(_u18419, _u18419, tc_HOL_Obool), c_fequal), _u18421)), _u18420)))) )).
% 12.54/12.79 cnf(matrix-7615, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18422), c_List_OtakeWhile(_u18422, _u18423, _u18424)), c_List_OdropWhile(_u18422, _u18423, _u18424)) = _u18424) )).
% 12.54/12.79 cnf(matrix-7616, plain, ( ( c_List_OdropWhile(_u18425, _u18426, _u18427) = c_List_Olist_ONil(_u18425)) | ~hBOOL(hAPP(_u18426, hAPP(c_List_Ohd(_u18425), c_List_OdropWhile(_u18425, _u18426, _u18427)))) )).
% 12.54/12.79 cnf(matrix-7617, plain, ( ~class_Orderings_Olinorder(_u18428) | ~c_List_Olinorder__class_Osorted(_u18428, _u18429) | c_List_Olinorder__class_Osorted(_u18428, c_List_OdropWhile(_u18428, _u18430, _u18429)) )).
% 12.54/12.79 cnf(matrix-7618, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18431)), c_List_OdropWhile(_u18431, _u18432, _u18433))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18431)), _u18433))) )).
% 12.54/12.79 cnf(matrix-7619, plain, ( ( c_List_OdropWhile(_u18439, _u18441, _u18443) != c_List_Olist_ONil(_u18439)) | ~hBOOL(hAPP(hAPP(c_member(_u18439), _u18434), hAPP(c_List_Oset(_u18439), _u18443))) | hBOOL(hAPP(_u18441, _u18434)) )).
% 12.54/12.79 cnf(matrix-7620, plain, ( ( c_List_OdropWhile(_u18440, _u18442, _u18444) = c_List_Olist_ONil(_u18440)) | hBOOL(hAPP(hAPP(c_member(_u18440), skolem471(_u18444, _u18442, _u18440)), hAPP(c_List_Oset(_u18440), _u18444))) )).
% 12.54/12.79 cnf(matrix-7621, plain, ( ( c_List_OdropWhile(_u18440, _u18442, _u18444) = c_List_Olist_ONil(_u18440)) | ~hBOOL(hAPP(_u18442, skolem471(_u18444, _u18442, _u18440))) )).
% 12.54/12.79 cnf(matrix-7622, plain, ( ( c_List_OdropWhile(_u18445, _u18446, c_List_Olist_ONil(_u18445)) = c_List_Olist_ONil(_u18445)) )).
% 12.54/12.79 cnf(matrix-7623, plain, ( ~hBOOL(hAPP(_u18451, _u18453)) | ( c_List_OdropWhile(_u18455, _u18451, hAPP(hAPP(c_List_Olist_OCons(_u18455), _u18453), _u18457)) = c_List_OdropWhile(_u18455, _u18451, _u18457)) )).
% 12.54/12.79 cnf(matrix-7624, plain, ( hBOOL(hAPP(_u18452, _u18454)) | ( c_List_OdropWhile(_u18456, _u18452, hAPP(hAPP(c_List_Olist_OCons(_u18456), _u18454), _u18458)) = hAPP(hAPP(c_List_Olist_OCons(_u18456), _u18454), _u18458)) )).
% 12.54/12.79 cnf(matrix-7625, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18459), _u18460)) | hBOOL(hAPP(c_List_Odistinct(_u18459), c_List_OdropWhile(_u18459, _u18461, _u18460))) )).
% 12.54/12.79 cnf(matrix-7626, plain, ( ( c_List_OdropWhile(_u18462, _u18463, hAPP(hAPP(c_List_Omap(_u18464, _u18462), _u18465), _u18466)) = hAPP(hAPP(c_List_Omap(_u18464, _u18462), _u18465), c_List_OdropWhile(_u18464, hAPP(c_Fun_Ocomp(_u18462, tc_HOL_Obool, _u18464, _u18463), _u18465), _u18466))) )).
% 12.54/12.79 cnf(matrix-7627, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18467), _u18468), hAPP(c_List_Oset(_u18467), _u18469))) | hBOOL(hAPP(_u18470, _u18468)) | ( c_List_OdropWhile(_u18467, _u18470, hAPP(hAPP(c_List_Oappend(_u18467), _u18469), _u18471)) = hAPP(hAPP(c_List_Oappend(_u18467), c_List_OdropWhile(_u18467, _u18470, _u18469)), _u18471)) )).
% 12.54/12.79 cnf(matrix-7628, plain, ( ( c_List_OdropWhile(_u18477, _u18479, _u18481) != hAPP(hAPP(c_List_Olist_OCons(_u18477), _u18483), _u18485)) | ( _u18481 = hAPP(hAPP(c_List_Oappend(_u18477), c_List_OtakeWhile(_u18477, _u18479, _u18481)), hAPP(hAPP(c_List_Olist_OCons(_u18477), _u18483), _u18485))) )).
% 12.54/12.79 cnf(matrix-7629, plain, ( ( c_List_OdropWhile(_u18477, _u18479, _u18481) != hAPP(hAPP(c_List_Olist_OCons(_u18477), _u18483), _u18485)) | ~hBOOL(hAPP(_u18479, _u18483)) )).
% 12.54/12.79 cnf(matrix-7630, plain, ( ( _u18482 != hAPP(hAPP(c_List_Oappend(_u18478), c_List_OtakeWhile(_u18478, _u18480, _u18482)), hAPP(hAPP(c_List_Olist_OCons(_u18478), _u18484), _u18486))) | hBOOL(hAPP(_u18480, _u18484)) | ( c_List_OdropWhile(_u18478, _u18480, _u18482) = hAPP(hAPP(c_List_Olist_OCons(_u18478), _u18484), _u18486)) )).
% 12.54/12.79 cnf(matrix-7631, plain, ( ( c_List_OdropWhile(_u18487, _u18488, _u18489) = hAPP(hAPP(c_List_Odrop(_u18487), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18487)), c_List_OtakeWhile(_u18487, _u18488, _u18489))), _u18489)) )).
% 12.54/12.79 cnf(matrix-7632, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18490), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18491)), c_List_OdropWhile(_u18491, _u18492, _u18493)))) | ( hAPP(hAPP(c_List_Onth(_u18491), c_List_OdropWhile(_u18491, _u18492, _u18493)), _u18490) = hAPP(hAPP(c_List_Onth(_u18491), _u18493), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18490), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18491)), c_List_OtakeWhile(_u18491, _u18492, _u18493))))) )).
% 12.54/12.79 cnf(matrix-7633, plain, ( ~class_Groups_Omonoid__add(_u18495) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18495), hAPP(hAPP(c_List_Omap(_u18496, _u18495), _u18499), hAPP(c_List_Ofilter(_u18496, _u18498), _u18497))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18495), hAPP(hAPP(c_List_Omap(_u18496, _u18495), _u18499), _u18497))) | hBOOL(hAPP(hAPP(c_member(_u18496), skolem472(_u18499, _u18498, _u18497, _u18496, _u18495)), hAPP(c_List_Oset(_u18496), _u18497))) )).
% 12.54/12.79 cnf(matrix-7634, plain, ( ~class_Groups_Omonoid__add(_u18495) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18495), hAPP(hAPP(c_List_Omap(_u18496, _u18495), _u18499), hAPP(c_List_Ofilter(_u18496, _u18498), _u18497))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18495), hAPP(hAPP(c_List_Omap(_u18496, _u18495), _u18499), _u18497))) | ~hBOOL(hAPP(_u18498, skolem472(_u18499, _u18498, _u18497, _u18496, _u18495))) )).
% 12.54/12.79 cnf(matrix-7635, plain, ( ~class_Groups_Omonoid__add(_u18495) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18495), hAPP(hAPP(c_List_Omap(_u18496, _u18495), _u18499), hAPP(c_List_Ofilter(_u18496, _u18498), _u18497))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18495), hAPP(hAPP(c_List_Omap(_u18496, _u18495), _u18499), _u18497))) | ( hAPP(_u18499, skolem472(_u18499, _u18498, _u18497, _u18496, _u18495)) != c_Groups_Ozero__class_Ozero(_u18495)) )).
% 12.54/12.79 cnf(matrix-7636, plain, ( ~class_Orderings_Olinorder(_u18502) | c_List_Olinorder__class_Osorted(_u18502, _u18503) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem473(_u18503, _u18502)), skolem474(_u18503, _u18502))) )).
% 12.54/12.79 cnf(matrix-7637, plain, ( ~class_Orderings_Olinorder(_u18502) | c_List_Olinorder__class_Osorted(_u18502, _u18503) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem474(_u18503, _u18502)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18502)), _u18503))) )).
% 12.54/12.79 cnf(matrix-7638, plain, ( ~class_Orderings_Olinorder(_u18502) | c_List_Olinorder__class_Osorted(_u18502, _u18503) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18502), hAPP(hAPP(c_List_Onth(_u18502), _u18503), skolem473(_u18503, _u18502))), hAPP(hAPP(c_List_Onth(_u18502), _u18503), skolem474(_u18503, _u18502)))) )).
% 12.54/12.79 cnf(matrix-7639, plain, ( ( c_List_OtakeWhile(_u18505, _u18506, _u18507) = hAPP(c_List_Ofilter(_u18505, _u18506), _u18507)) | hBOOL(hAPP(hAPP(c_member(_u18505), skolem475(_u18507, _u18506, _u18505)), hAPP(c_List_Oset(_u18505), c_List_OdropWhile(_u18505, _u18506, _u18507)))) )).
% 12.54/12.79 cnf(matrix-7640, plain, ( ( c_List_OtakeWhile(_u18505, _u18506, _u18507) = hAPP(c_List_Ofilter(_u18505, _u18506), _u18507)) | hBOOL(hAPP(_u18506, skolem475(_u18507, _u18506, _u18505))) )).
% 12.54/12.79 cnf(matrix-7641, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem476(_u18512, _u18511, _u18510, _u18509)), _u18509)) | ( c_List_OtakeWhile(_u18510, _u18512, _u18511) = hAPP(hAPP(c_List_Otake(_u18510), _u18509), _u18511)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18509), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18510)), _u18511))) )).
% 12.54/12.79 cnf(matrix-7642, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem476(_u18512, _u18511, _u18510, _u18509)), _u18509)) | ( c_List_OtakeWhile(_u18510, _u18512, _u18511) = hAPP(hAPP(c_List_Otake(_u18510), _u18509), _u18511)) | hBOOL(hAPP(_u18512, hAPP(hAPP(c_List_Onth(_u18510), _u18511), _u18509))) )).
% 12.54/12.79 cnf(matrix-7643, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem476(_u18512, _u18511, _u18510, _u18509)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18510)), _u18511))) | ( c_List_OtakeWhile(_u18510, _u18512, _u18511) = hAPP(hAPP(c_List_Otake(_u18510), _u18509), _u18511)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18509), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18510)), _u18511))) )).
% 12.54/12.79 cnf(matrix-7644, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem476(_u18512, _u18511, _u18510, _u18509)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18510)), _u18511))) | ( c_List_OtakeWhile(_u18510, _u18512, _u18511) = hAPP(hAPP(c_List_Otake(_u18510), _u18509), _u18511)) | hBOOL(hAPP(_u18512, hAPP(hAPP(c_List_Onth(_u18510), _u18511), _u18509))) )).
% 12.54/12.79 cnf(matrix-7645, plain, ( ~hBOOL(hAPP(_u18512, hAPP(hAPP(c_List_Onth(_u18510), _u18511), skolem476(_u18512, _u18511, _u18510, _u18509)))) | ( c_List_OtakeWhile(_u18510, _u18512, _u18511) = hAPP(hAPP(c_List_Otake(_u18510), _u18509), _u18511)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18509), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18510)), _u18511))) )).
% 12.54/12.79 cnf(matrix-7646, plain, ( ~hBOOL(hAPP(_u18512, hAPP(hAPP(c_List_Onth(_u18510), _u18511), skolem476(_u18512, _u18511, _u18510, _u18509)))) | ( c_List_OtakeWhile(_u18510, _u18512, _u18511) = hAPP(hAPP(c_List_Otake(_u18510), _u18509), _u18511)) | hBOOL(hAPP(_u18512, hAPP(hAPP(c_List_Onth(_u18510), _u18511), _u18509))) )).
% 12.54/12.79 cnf(matrix-7647, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18514), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18516)), _u18517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18514), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18516)), c_List_OtakeWhile(_u18516, _u18515, _u18517)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem477(_u18517, _u18516, _u18515, _u18514)), _u18514)) )).
% 12.54/12.79 cnf(matrix-7648, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18514), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18516)), _u18517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18514), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18516)), c_List_OtakeWhile(_u18516, _u18515, _u18517)))) | ~hBOOL(hAPP(_u18515, hAPP(hAPP(c_List_Onth(_u18516), _u18517), skolem477(_u18517, _u18516, _u18515, _u18514)))) )).
% 12.54/12.79 cnf(matrix-7649, plain, ( ~class_Orderings_Olinorder(_u18524) | ~c_List_Olinorder__class_Osorted(_u18524, _u18525) | ( _u18525 = c_List_Olist_ONil(_u18524)) | c_List_Olinorder__class_Osorted(_u18524, skolem478(_u18525, _u18524)) )).
% 12.54/12.79 cnf(matrix-7650, plain, ( ~class_Orderings_Olinorder(_u18524) | ~c_List_Olinorder__class_Osorted(_u18524, _u18525) | ( _u18525 = c_List_Olist_ONil(_u18524)) | ( _u18525 = hAPP(hAPP(c_List_Olist_OCons(_u18524), skolem479(_u18525, _u18524)), skolem478(_u18525, _u18524))) )).
% 12.54/12.79 cnf(matrix-7651, plain, ( ~class_Orderings_Olinorder(_u18524) | ~c_List_Olinorder__class_Osorted(_u18524, _u18525) | ( _u18525 = c_List_Olist_ONil(_u18524)) | ~hBOOL(hAPP(hAPP(c_member(_u18524), _u18518), hAPP(c_List_Oset(_u18524), skolem478(_u18525, _u18524)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18524), skolem479(_u18525, _u18524)), _u18518)) )).
% 12.54/12.79 cnf(matrix-7652, plain, ( ~class_Orderings_Olinorder(_u18524) | c_List_Olinorder__class_Osorted(_u18524, _u18525) | ( _u18525 != c_List_Olist_ONil(_u18524)) )).
% 12.54/12.79 cnf(matrix-7653, plain, ( ~class_Orderings_Olinorder(_u18524) | c_List_Olinorder__class_Osorted(_u18524, _u18525) | ~c_List_Olinorder__class_Osorted(_u18524, _u18523) | ( _u18525 != hAPP(hAPP(c_List_Olist_OCons(_u18524), _u18522), _u18523)) | hBOOL(hAPP(hAPP(c_member(_u18524), skolem480(_u18525, _u18524, _u18523, _u18522)), hAPP(c_List_Oset(_u18524), _u18523))) )).
% 12.54/12.79 cnf(matrix-7654, plain, ( ~class_Orderings_Olinorder(_u18524) | c_List_Olinorder__class_Osorted(_u18524, _u18525) | ~c_List_Olinorder__class_Osorted(_u18524, _u18523) | ( _u18525 != hAPP(hAPP(c_List_Olist_OCons(_u18524), _u18522), _u18523)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18524), _u18522), skolem480(_u18525, _u18524, _u18523, _u18522))) )).
% 12.54/12.79 cnf(matrix-7655, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18529), _u18531), hAPP(c_List_Oset(_u18529), _u18533))) | ( c_List_Oinsert(_u18529, _u18531, _u18533) = _u18533) )).
% 12.54/12.79 cnf(matrix-7656, plain, ( hBOOL(hAPP(hAPP(c_member(_u18530), _u18532), hAPP(c_List_Oset(_u18530), _u18534))) | ( c_List_Oinsert(_u18530, _u18532, _u18534) = hAPP(hAPP(c_List_Olist_OCons(_u18530), _u18532), _u18534)) )).
% 12.54/12.79 cnf(matrix-7657, plain, ( hBOOL(hAPP(hAPP(c_member(_u18535), _u18536), hAPP(c_List_Oset(_u18535), _u18537))) | ( c_List_Oinsert(_u18535, _u18536, _u18537) = hAPP(hAPP(c_List_Olist_OCons(_u18535), _u18536), _u18537)) )).
% 12.54/12.79 cnf(matrix-7658, plain, ( ( c_List_Oinsert(_u18538, _u18539, c_List_Oremdups(_u18538, _u18540)) = c_List_Oremdups(_u18538, c_List_Oinsert(_u18538, _u18539, _u18540))) )).
% 12.54/12.79 cnf(matrix-7659, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18541), _u18542)) | hBOOL(hAPP(c_List_Odistinct(_u18541), c_List_Oinsert(_u18541, _u18543, _u18542))) )).
% 12.54/12.79 cnf(matrix-7660, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18544), _u18545), hAPP(c_List_Oset(_u18544), _u18546))) | ( c_List_Oinsert(_u18544, _u18545, _u18546) = _u18546) )).
% 12.54/12.79 cnf(matrix-7661, plain, ( ( hAPP(c_List_Oset(_u18547), c_List_Oinsert(_u18547, _u18548, _u18549)) = hAPP(hAPP(c_Set_Oinsert(_u18547), _u18548), hAPP(c_List_Oset(_u18547), _u18549))) )).
% 12.54/12.79 cnf(matrix-7662, plain, ( ( c_List_Oinsert(_u18550, _u18551, c_List_Olist_ONil(_u18550)) = hAPP(hAPP(c_List_Olist_OCons(_u18550), _u18551), c_List_Olist_ONil(_u18550))) )).
% 12.54/12.79 cnf(matrix-7663, plain, ( ( c_List_Oconcat(_u18552, hAPP(hAPP(c_List_Omap(_u18553, tc_List_Olist(_u18552)), _u18554), _u18555)) = c_List_Omaps(_u18553, _u18552, _u18554, _u18555)) )).
% 12.54/12.79 cnf(matrix-7664, plain, ( ( c_List_Omaps(_u18556, _u18557, _u18558, _u18559) = c_List_Oconcat(_u18557, hAPP(hAPP(c_List_Omap(_u18556, tc_List_Olist(_u18557)), _u18558), _u18559))) )).
% 12.54/12.79 cnf(matrix-7665, plain, ( ( c_List_Omaps(_u18560, _u18561, _u18562, c_List_Olist_ONil(_u18560)) = c_List_Olist_ONil(_u18561)) )).
% 12.54/12.79 cnf(matrix-7666, plain, ( ( c_List_Omaps(_u18563, _u18564, _u18565, hAPP(hAPP(c_List_Olist_OCons(_u18563), _u18566), _u18567)) = hAPP(hAPP(c_List_Oappend(_u18564), hAPP(_u18565, _u18566)), c_List_Omaps(_u18563, _u18564, _u18565, _u18567))) )).
% 12.54/12.79 cnf(matrix-7667, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18571)), _u18572)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18571)), skolem481(_u18572, _u18571)), hAPP(c_List_Oset(tc_List_Olist(_u18571)), _u18572))) | hBOOL(hAPP(c_List_Odistinct(_u18571), c_List_Oconcat(_u18571, _u18572))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18571)), skolem482(_u18572, _u18571)), hAPP(c_List_Oset(tc_List_Olist(_u18571)), _u18572))) )).
% 12.54/12.79 cnf(matrix-7668, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18571)), _u18572)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18571)), skolem481(_u18572, _u18571)), hAPP(c_List_Oset(tc_List_Olist(_u18571)), _u18572))) | hBOOL(hAPP(c_List_Odistinct(_u18571), c_List_Oconcat(_u18571, _u18572))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18571)), skolem483(_u18572, _u18571)), hAPP(c_List_Oset(tc_List_Olist(_u18571)), _u18572))) )).
% 12.54/12.79 cnf(matrix-7669, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18571)), _u18572)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18571)), skolem481(_u18572, _u18571)), hAPP(c_List_Oset(tc_List_Olist(_u18571)), _u18572))) | hBOOL(hAPP(c_List_Odistinct(_u18571), c_List_Oconcat(_u18571, _u18572))) | ( skolem482(_u18572, _u18571) != skolem483(_u18572, _u18571)) )).
% 12.54/12.79 cnf(matrix-7670, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18571)), _u18572)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18571)), skolem481(_u18572, _u18571)), hAPP(c_List_Oset(tc_List_Olist(_u18571)), _u18572))) | hBOOL(hAPP(c_List_Odistinct(_u18571), c_List_Oconcat(_u18571, _u18572))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18571, tc_HOL_Obool)), hAPP(c_List_Oset(_u18571), skolem482(_u18572, _u18571))), hAPP(c_List_Oset(_u18571), skolem483(_u18572, _u18571))) != c_Orderings_Obot__class_Obot(tc_fun(_u18571, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-7671, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18571)), _u18572)) | ~hBOOL(hAPP(c_List_Odistinct(_u18571), skolem481(_u18572, _u18571))) | hBOOL(hAPP(c_List_Odistinct(_u18571), c_List_Oconcat(_u18571, _u18572))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18571)), skolem482(_u18572, _u18571)), hAPP(c_List_Oset(tc_List_Olist(_u18571)), _u18572))) )).
% 12.54/12.79 cnf(matrix-7672, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18571)), _u18572)) | ~hBOOL(hAPP(c_List_Odistinct(_u18571), skolem481(_u18572, _u18571))) | hBOOL(hAPP(c_List_Odistinct(_u18571), c_List_Oconcat(_u18571, _u18572))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18571)), skolem483(_u18572, _u18571)), hAPP(c_List_Oset(tc_List_Olist(_u18571)), _u18572))) )).
% 12.54/12.79 cnf(matrix-7673, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18571)), _u18572)) | ~hBOOL(hAPP(c_List_Odistinct(_u18571), skolem481(_u18572, _u18571))) | hBOOL(hAPP(c_List_Odistinct(_u18571), c_List_Oconcat(_u18571, _u18572))) | ( skolem482(_u18572, _u18571) != skolem483(_u18572, _u18571)) )).
% 12.54/12.79 cnf(matrix-7674, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18571)), _u18572)) | ~hBOOL(hAPP(c_List_Odistinct(_u18571), skolem481(_u18572, _u18571))) | hBOOL(hAPP(c_List_Odistinct(_u18571), c_List_Oconcat(_u18571, _u18572))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18571, tc_HOL_Obool)), hAPP(c_List_Oset(_u18571), skolem482(_u18572, _u18571))), hAPP(c_List_Oset(_u18571), skolem483(_u18572, _u18571))) != c_Orderings_Obot__class_Obot(tc_fun(_u18571, tc_HOL_Obool))) )).
% 12.54/12.79 cnf(matrix-7675, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u18573, _u18574)), hAPP(_u18573, _u18575))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18576, _u18576)), hAPP(hAPP(c_Product__Type_OPair(_u18576, _u18576), _u18574), _u18575)), c_List_Omeasures(_u18576, _u18577))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18576, _u18576)), hAPP(hAPP(c_Product__Type_OPair(_u18576, _u18576), _u18574), _u18575)), c_List_Omeasures(_u18576, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18576, tc_Nat_Onat)), _u18573), _u18577)))) )).
% 12.54/12.79 cnf(matrix-7676, plain, ( c_Wellfounded_Owf(_u18578, c_List_Omeasures(_u18578, _u18579)) )).
% 12.54/12.79 cnf(matrix-7677, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18580, _u18580)), hAPP(hAPP(c_Product__Type_OPair(_u18580, _u18580), _u18581), _u18582)), c_List_Omeasures(_u18580, c_List_Olist_ONil(tc_fun(_u18580, tc_Nat_Onat))))) )).
% 12.54/12.79 cnf(matrix-7678, plain, ( ( c_List_Omeasures(_u18583, _u18584) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat), _u18583), c_List_Olex(tc_Nat_Onat, c_Wellfounded_Oless__than)), hAPP(hAPP(c_COMBC(_u18583, tc_List_Olist(tc_fun(_u18583, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u18583, tc_Nat_Onat), tc_Nat_Onat), tc_fun(tc_List_Olist(tc_fun(_u18583, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), _u18583), c_List_Omap(tc_fun(_u18583, tc_Nat_Onat), tc_Nat_Onat)), hAPP(c_COMBC(tc_fun(_u18583, tc_Nat_Onat), _u18583, tc_Nat_Onat), c_COMBI(tc_fun(_u18583, tc_Nat_Onat))))), _u18584))) )).
% 12.54/12.79 cnf(matrix-7679, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18585, _u18586)), hAPP(_u18585, _u18587))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18588, _u18588)), hAPP(hAPP(c_Product__Type_OPair(_u18588, _u18588), _u18586), _u18587)), c_List_Omeasures(_u18588, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18588, tc_Nat_Onat)), _u18585), _u18589)))) )).
% 12.54/12.79 cnf(matrix-7680, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18595, _u18595)), hAPP(hAPP(c_Product__Type_OPair(_u18595, _u18595), _u18597), _u18599)), c_List_Omeasures(_u18595, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18595, tc_Nat_Onat)), _u18601), _u18603)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18601, _u18597)), hAPP(_u18601, _u18599))) | ( hAPP(_u18601, _u18597) = hAPP(_u18601, _u18599)) )).
% 12.54/12.79 cnf(matrix-7681, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18595, _u18595)), hAPP(hAPP(c_Product__Type_OPair(_u18595, _u18595), _u18597), _u18599)), c_List_Omeasures(_u18595, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18595, tc_Nat_Onat)), _u18601), _u18603)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18601, _u18597)), hAPP(_u18601, _u18599))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18595, _u18595)), hAPP(hAPP(c_Product__Type_OPair(_u18595, _u18595), _u18597), _u18599)), c_List_Omeasures(_u18595, _u18603))) )).
% 12.54/12.79 cnf(matrix-7682, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18596, _u18596)), hAPP(hAPP(c_Product__Type_OPair(_u18596, _u18596), _u18598), _u18600)), c_List_Omeasures(_u18596, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18596, tc_Nat_Onat)), _u18602), _u18604)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18602, _u18598)), hAPP(_u18602, _u18600))) )).
% 12.54/12.79 cnf(matrix-7683, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18596, _u18596)), hAPP(hAPP(c_Product__Type_OPair(_u18596, _u18596), _u18598), _u18600)), c_List_Omeasures(_u18596, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18596, tc_Nat_Onat)), _u18602), _u18604)))) | ( hAPP(_u18602, _u18598) != hAPP(_u18602, _u18600)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18596, _u18596)), hAPP(hAPP(c_Product__Type_OPair(_u18596, _u18596), _u18598), _u18600)), c_List_Omeasures(_u18596, _u18604))) )).
% 12.54/12.79 cnf(matrix-7684, plain, ( ( hAPP(c_List_Ofoldl(_u18608, _u18606, hAPP(c_COMBC(_u18606, _u18608, _u18608), _u18610), hAPP(_u18611, _u18613)), _u18607) = hAPP(_u18611, hAPP(c_List_Ofoldl(_u18609, _u18606, hAPP(c_COMBC(_u18606, _u18609, _u18609), _u18612), _u18613), _u18607))) | hBOOL(hAPP(hAPP(c_member(_u18606), skolem484(_u18613, _u18612, _u18611, _u18610, _u18609, _u18608, _u18607, _u18606)), hAPP(c_List_Oset(_u18606), _u18607))) )).
% 12.54/12.79 cnf(matrix-7685, plain, ( ( hAPP(c_List_Ofoldl(_u18608, _u18606, hAPP(c_COMBC(_u18606, _u18608, _u18608), _u18610), hAPP(_u18611, _u18613)), _u18607) = hAPP(_u18611, hAPP(c_List_Ofoldl(_u18609, _u18606, hAPP(c_COMBC(_u18606, _u18609, _u18609), _u18612), _u18613), _u18607))) | ( hAPP(c_Fun_Ocomp(_u18608, _u18608, _u18609, hAPP(_u18610, skolem484(_u18613, _u18612, _u18611, _u18610, _u18609, _u18608, _u18607, _u18606))), _u18611) != hAPP(c_Fun_Ocomp(_u18609, _u18608, _u18609, _u18611), hAPP(_u18612, skolem484(_u18613, _u18612, _u18611, _u18610, _u18609, _u18608, _u18607, _u18606)))) )).
% 12.54/12.79 cnf(matrix-7686, plain, ( ~class_Orderings_Oorder(_u18614) | ~class_Enum_Oenum(_u18615) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u18615, _u18614)), _u18616), _u18617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18615, _u18614)), _u18616), _u18617)) )).
% 12.54/12.79 cnf(matrix-7687, plain, ( ~class_Orderings_Oorder(_u18614) | ~class_Enum_Oenum(_u18615) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u18615, _u18614)), _u18616), _u18617)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18615), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18615), c_fNot), hAPP(hAPP(c_COMBS(_u18615, _u18614, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18614, tc_fun(_u18614, tc_HOL_Obool), _u18615), c_fequal), _u18616)), _u18617)))) )).
% 12.54/12.79 cnf(matrix-7688, plain, ( ~class_Orderings_Oorder(_u18614) | ~class_Enum_Oenum(_u18615) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18615, _u18614)), _u18616), _u18617)) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18615), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18615), c_fNot), hAPP(hAPP(c_COMBS(_u18615, _u18614, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18614, tc_fun(_u18614, tc_HOL_Obool), _u18615), c_fequal), _u18616)), _u18617)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u18615, _u18614)), _u18616), _u18617)) )).
% 12.54/12.79 cnf(matrix-7689, plain, ( ~class_Enum_Oenum(_u18618) | ~class_Enum_Oenum(_u18619) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u18619, _u18618)), _u18620)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18619), hAPP(hAPP(c_COMBB(tc_fun(_u18618, tc_HOL_Obool), tc_HOL_Obool, _u18619), c_Enum_Oenum__class_Oenum__ex(_u18618)), hAPP(hAPP(c_COMBB(tc_fun(_u18618, tc_prod(_u18619, _u18618)), tc_fun(_u18618, tc_HOL_Obool), _u18619), hAPP(c_COMBB(tc_prod(_u18619, _u18618), tc_HOL_Obool, _u18618), _u18620)), c_Product__Type_OPair(_u18619, _u18618))))) )).
% 12.54/12.79 cnf(matrix-7690, plain, ( ~class_Enum_Oenum(_u18618) | ~class_Enum_Oenum(_u18619) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18619), hAPP(hAPP(c_COMBB(tc_fun(_u18618, tc_HOL_Obool), tc_HOL_Obool, _u18619), c_Enum_Oenum__class_Oenum__ex(_u18618)), hAPP(hAPP(c_COMBB(tc_fun(_u18618, tc_prod(_u18619, _u18618)), tc_fun(_u18618, tc_HOL_Obool), _u18619), hAPP(c_COMBB(tc_prod(_u18619, _u18618), tc_HOL_Obool, _u18618), _u18620)), c_Product__Type_OPair(_u18619, _u18618))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u18619, _u18618)), _u18620)) )).
% 12.54/12.79 cnf(matrix-7691, plain, ( ~class_Enum_Oenum(_u18623) | ~hBOOL(hAPP(_u18624, _u18621)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18623), _u18624)) )).
% 12.54/12.79 cnf(matrix-7692, plain, ( ~class_Enum_Oenum(_u18623) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18623), _u18624)) | hBOOL(hAPP(_u18624, skolem485(_u18624, _u18623))) )).
% 12.54/12.79 cnf(matrix-7693, plain, ( ~class_Enum_Oenum(_u18627) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18627), _u18628)) | hBOOL(hAPP(_u18628, skolem486(_u18628, _u18627))) )).
% 12.54/12.79 cnf(matrix-7694, plain, ( ~class_Enum_Oenum(_u18627) | ~hBOOL(hAPP(_u18628, _u18626)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18627), _u18628)) )).
% 12.54/12.79 cnf(matrix-7695, plain, ( hBOOL(hAPP(_u18633, hAPP(hAPP(c_List_Ozip(_u18629, _u18631), _u18630), _u18632))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18629)), hAPP(hAPP(c_List_Otake(_u18629), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18629)), _u18630)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18631)), _u18632))), _u18630)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18631)), hAPP(hAPP(c_List_Otake(_u18631), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18629)), _u18630)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18631)), _u18632))), _u18632))) )).
% 12.54/12.79 cnf(matrix-7696, plain, ( hBOOL(hAPP(_u18633, hAPP(hAPP(c_List_Ozip(_u18629, _u18631), _u18630), _u18632))) | ~hBOOL(hAPP(_u18633, hAPP(hAPP(c_List_Ozip(_u18629, _u18631), hAPP(hAPP(c_List_Otake(_u18629), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18629)), _u18630)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18631)), _u18632))), _u18630)), hAPP(hAPP(c_List_Otake(_u18631), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18629)), _u18630)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18631)), _u18632))), _u18632)))) )).
% 12.54/12.79 cnf(matrix-7697, plain, ( ( c_New__Random__Sequence_Opos__not__random__dseq(_u18634, _u18635, _u18636, _u18637) = c_New__DSequence_Opos__not__seq(hAPP(hAPP(hAPP(_u18634, _u18635), _u18636), _u18637))) )).
% 12.54/12.79 cnf(matrix-7698, plain, ( ( c_List_OdropWhile(_u18639, _u18641, hAPP(hAPP(c_List_Oappend(_u18639), _u18640), _u18642)) = c_List_OdropWhile(_u18639, _u18641, _u18642)) | hBOOL(hAPP(hAPP(c_member(_u18639), skolem487(_u18642, _u18641, _u18640, _u18639)), hAPP(c_List_Oset(_u18639), _u18640))) )).
% 12.54/12.79 cnf(matrix-7699, plain, ( ( c_List_OdropWhile(_u18639, _u18641, hAPP(hAPP(c_List_Oappend(_u18639), _u18640), _u18642)) = c_List_OdropWhile(_u18639, _u18641, _u18642)) | ~hBOOL(hAPP(_u18641, skolem487(_u18642, _u18641, _u18640, _u18639))) )).
% 12.54/12.79 cnf(matrix-7700, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18644)), _u18645) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18646)), _u18647)) | c_List_Olist__all2(_u18644, _u18646, _u18648, _u18645, _u18647) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem488(_u18648, _u18647, _u18646, _u18645, _u18644)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18644)), _u18645))) )).
% 12.54/12.79 cnf(matrix-7701, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18644)), _u18645) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18646)), _u18647)) | c_List_Olist__all2(_u18644, _u18646, _u18648, _u18645, _u18647) | ~hBOOL(hAPP(hAPP(_u18648, hAPP(hAPP(c_List_Onth(_u18644), _u18645), skolem488(_u18648, _u18647, _u18646, _u18645, _u18644))), hAPP(hAPP(c_List_Onth(_u18646), _u18647), skolem488(_u18648, _u18647, _u18646, _u18645, _u18644)))) )).
% 12.54/12.79 cnf(matrix-7702, plain, ( ~class_Orderings_Olinorder(_u18651) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18651), _u18652)) | ( hAPP(c_List_Oset(_u18651), skolem489(_u18652, _u18651)) = _u18652) )).
% 12.54/12.79 cnf(matrix-7703, plain, ( ~class_Orderings_Olinorder(_u18651) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18651), _u18652)) | c_List_Olinorder__class_Osorted(_u18651, skolem489(_u18652, _u18651)) )).
% 12.54/12.79 cnf(matrix-7704, plain, ( ~class_Orderings_Olinorder(_u18651) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18651), _u18652)) | hBOOL(hAPP(c_List_Odistinct(_u18651), skolem489(_u18652, _u18651))) )).
% 12.54/12.79 cnf(matrix-7705, plain, ( ~class_Orderings_Olinorder(_u18651) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18651), _u18652)) | ( hAPP(c_List_Oset(_u18651), _u18649) != _u18652) | ~c_List_Olinorder__class_Osorted(_u18651, _u18649) | ~hBOOL(hAPP(c_List_Odistinct(_u18651), _u18649)) | ( _u18649 = skolem489(_u18652, _u18651)) )).
% 12.54/12.79 cnf(matrix-7706, plain, ( ( c_List_OtakeWhile(_u18654, _u18656, hAPP(hAPP(c_List_Oappend(_u18654), _u18655), _u18657)) = hAPP(hAPP(c_List_Oappend(_u18654), _u18655), c_List_OtakeWhile(_u18654, _u18656, _u18657))) | hBOOL(hAPP(hAPP(c_member(_u18654), skolem490(_u18657, _u18656, _u18655, _u18654)), hAPP(c_List_Oset(_u18654), _u18655))) )).
% 12.54/12.79 cnf(matrix-7707, plain, ( ( c_List_OtakeWhile(_u18654, _u18656, hAPP(hAPP(c_List_Oappend(_u18654), _u18655), _u18657)) = hAPP(hAPP(c_List_Oappend(_u18654), _u18655), c_List_OtakeWhile(_u18654, _u18656, _u18657))) | ~hBOOL(hAPP(_u18656, skolem490(_u18657, _u18656, _u18655, _u18654))) )).
% 12.54/12.79 cnf(matrix-7708, plain, ( ~class_Orderings_Olinorder(_u18659) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18660, _u18659, _u18662), _u18663), _u18661) = hAPP(hAPP(c_List_Olist_OCons(_u18660), _u18663), _u18661)) | hBOOL(hAPP(hAPP(c_member(_u18660), skolem491(_u18663, _u18662, _u18661, _u18660, _u18659)), hAPP(c_List_Oset(_u18660), _u18661))) )).
% 12.54/12.79 cnf(matrix-7709, plain, ( ~class_Orderings_Olinorder(_u18659) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18660, _u18659, _u18662), _u18663), _u18661) = hAPP(hAPP(c_List_Olist_OCons(_u18660), _u18663), _u18661)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18659), hAPP(_u18662, _u18663)), hAPP(_u18662, skolem491(_u18663, _u18662, _u18661, _u18660, _u18659)))) )).
% 12.54/12.79 cnf(matrix-7710, plain, ( ( hAPP(c_List_Ofilter(_u18675, _u18677), _u18679) != hAPP(hAPP(c_List_Olist_OCons(_u18675), _u18681), _u18683)) | hBOOL(hAPP(_u18677, _u18681)) )).
% 12.54/12.79 cnf(matrix-7711, plain, ( ( hAPP(c_List_Ofilter(_u18675, _u18677), _u18679) != hAPP(hAPP(c_List_Olist_OCons(_u18675), _u18681), _u18683)) | ~hBOOL(hAPP(hAPP(c_member(_u18675), _u18664), hAPP(c_List_Oset(_u18675), skolem492(_u18683, _u18681, _u18679, _u18677, _u18675)))) | ~hBOOL(hAPP(_u18677, _u18664)) )).
% 12.54/12.79 cnf(matrix-7712, plain, ( ( hAPP(c_List_Ofilter(_u18675, _u18677), _u18679) != hAPP(hAPP(c_List_Olist_OCons(_u18675), _u18681), _u18683)) | ( _u18679 = hAPP(hAPP(c_List_Oappend(_u18675), skolem492(_u18683, _u18681, _u18679, _u18677, _u18675)), hAPP(hAPP(c_List_Olist_OCons(_u18675), _u18681), skolem493(_u18683, _u18681, _u18679, _u18677, _u18675)))) )).
% 12.54/12.79 cnf(matrix-7713, plain, ( ( hAPP(c_List_Ofilter(_u18675, _u18677), _u18679) != hAPP(hAPP(c_List_Olist_OCons(_u18675), _u18681), _u18683)) | ( _u18683 = hAPP(c_List_Ofilter(_u18675, _u18677), skolem493(_u18683, _u18681, _u18679, _u18677, _u18675))) )).
% 12.54/12.79 cnf(matrix-7714, plain, ( ( hAPP(c_List_Ofilter(_u18676, _u18678), _u18680) = hAPP(hAPP(c_List_Olist_OCons(_u18676), _u18682), _u18684)) | ~hBOOL(hAPP(_u18678, _u18682)) | ( _u18680 != hAPP(hAPP(c_List_Oappend(_u18676), _u18669), hAPP(hAPP(c_List_Olist_OCons(_u18676), _u18682), _u18668))) | ( _u18684 != hAPP(c_List_Ofilter(_u18676, _u18678), _u18668)) | hBOOL(hAPP(hAPP(c_member(_u18676), skolem494(_u18684, _u18682, _u18680, _u18678, _u18676, _u18669)), hAPP(c_List_Oset(_u18676), _u18669))) )).
% 12.54/12.79 cnf(matrix-7715, plain, ( ( hAPP(c_List_Ofilter(_u18676, _u18678), _u18680) = hAPP(hAPP(c_List_Olist_OCons(_u18676), _u18682), _u18684)) | ~hBOOL(hAPP(_u18678, _u18682)) | ( _u18680 != hAPP(hAPP(c_List_Oappend(_u18676), _u18669), hAPP(hAPP(c_List_Olist_OCons(_u18676), _u18682), _u18668))) | ( _u18684 != hAPP(c_List_Ofilter(_u18676, _u18678), _u18668)) | hBOOL(hAPP(_u18678, skolem494(_u18684, _u18682, _u18680, _u18678, _u18676, _u18669))) )).
% 12.54/12.79 cnf(matrix-7716, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18696), _u18698), _u18700) != hAPP(c_List_Ofilter(_u18696, _u18702), _u18704)) | hBOOL(hAPP(_u18702, _u18698)) )).
% 12.54/12.79 cnf(matrix-7717, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18696), _u18698), _u18700) != hAPP(c_List_Ofilter(_u18696, _u18702), _u18704)) | ~hBOOL(hAPP(hAPP(c_member(_u18696), _u18685), hAPP(c_List_Oset(_u18696), skolem495(_u18704, _u18702, _u18700, _u18698, _u18696)))) | ~hBOOL(hAPP(_u18702, _u18685)) )).
% 12.54/12.79 cnf(matrix-7718, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18696), _u18698), _u18700) != hAPP(c_List_Ofilter(_u18696, _u18702), _u18704)) | ( _u18704 = hAPP(hAPP(c_List_Oappend(_u18696), skolem495(_u18704, _u18702, _u18700, _u18698, _u18696)), hAPP(hAPP(c_List_Olist_OCons(_u18696), _u18698), skolem496(_u18704, _u18702, _u18700, _u18698, _u18696)))) )).
% 12.54/12.79 cnf(matrix-7719, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18696), _u18698), _u18700) != hAPP(c_List_Ofilter(_u18696, _u18702), _u18704)) | ( _u18700 = hAPP(c_List_Ofilter(_u18696, _u18702), skolem496(_u18704, _u18702, _u18700, _u18698, _u18696))) )).
% 12.54/12.79 cnf(matrix-7720, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18697), _u18699), _u18701) = hAPP(c_List_Ofilter(_u18697, _u18703), _u18705)) | ~hBOOL(hAPP(_u18703, _u18699)) | ( _u18705 != hAPP(hAPP(c_List_Oappend(_u18697), _u18690), hAPP(hAPP(c_List_Olist_OCons(_u18697), _u18699), _u18689))) | ( _u18701 != hAPP(c_List_Ofilter(_u18697, _u18703), _u18689)) | hBOOL(hAPP(hAPP(c_member(_u18697), skolem497(_u18705, _u18703, _u18701, _u18699, _u18697, _u18690)), hAPP(c_List_Oset(_u18697), _u18690))) )).
% 12.54/12.79 cnf(matrix-7721, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18697), _u18699), _u18701) = hAPP(c_List_Ofilter(_u18697, _u18703), _u18705)) | ~hBOOL(hAPP(_u18703, _u18699)) | ( _u18705 != hAPP(hAPP(c_List_Oappend(_u18697), _u18690), hAPP(hAPP(c_List_Olist_OCons(_u18697), _u18699), _u18689))) | ( _u18701 != hAPP(c_List_Ofilter(_u18697, _u18703), _u18689)) | hBOOL(hAPP(_u18703, skolem497(_u18705, _u18703, _u18701, _u18699, _u18697, _u18690))) )).
% 12.54/12.79 cnf(matrix-7722, plain, ( ~class_Orderings_Oorder(_u18706) | ~class_Enum_Oenum(_u18707) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18707, _u18706)), _u18708), _u18709)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18707), hAPP(hAPP(c_COMBS(_u18707, _u18706, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18706, tc_fun(_u18706, tc_HOL_Obool), _u18707), c_Orderings_Oord__class_Oless__eq(_u18706)), _u18708)), _u18709))) )).
% 12.54/12.79 cnf(matrix-7723, plain, ( ~class_Orderings_Oorder(_u18706) | ~class_Enum_Oenum(_u18707) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18707), hAPP(hAPP(c_COMBS(_u18707, _u18706, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18706, tc_fun(_u18706, tc_HOL_Obool), _u18707), c_Orderings_Oord__class_Oless__eq(_u18706)), _u18708)), _u18709))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18707, _u18706)), _u18708), _u18709)) )).
% 12.54/12.79 cnf(matrix-7724, plain, ( ~class_Enum_Oenum(_u18712) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18712), _u18713)) | hBOOL(hAPP(_u18713, _u18710)) )).
% 12.54/12.79 cnf(matrix-7725, plain, ( ~class_Enum_Oenum(_u18712) | ~hBOOL(hAPP(_u18713, skolem498(_u18713, _u18712))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18712), _u18713)) )).
% 12.54/12.79 cnf(matrix-7726, plain, ( ~class_Enum_Oenum(_u18716) | ~hBOOL(hAPP(_u18717, skolem499(_u18717, _u18716))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18716), _u18717)) )).
% 12.54/12.79 cnf(matrix-7727, plain, ( ~class_Enum_Oenum(_u18716) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18716), _u18717)) | hBOOL(hAPP(_u18717, _u18715)) )).
% 12.54/12.79 cnf(matrix-7728, plain, ( ~class_Enum_Oenum(_u18718) | ~class_Enum_Oenum(_u18719) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u18719, _u18718)), _u18720)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18719), hAPP(hAPP(c_COMBB(tc_fun(_u18718, tc_HOL_Obool), tc_HOL_Obool, _u18719), c_Enum_Oenum__class_Oenum__all(_u18718)), hAPP(hAPP(c_COMBB(tc_fun(_u18718, tc_prod(_u18719, _u18718)), tc_fun(_u18718, tc_HOL_Obool), _u18719), hAPP(c_COMBB(tc_prod(_u18719, _u18718), tc_HOL_Obool, _u18718), _u18720)), c_Product__Type_OPair(_u18719, _u18718))))) )).
% 12.54/12.79 cnf(matrix-7729, plain, ( ~class_Enum_Oenum(_u18718) | ~class_Enum_Oenum(_u18719) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18719), hAPP(hAPP(c_COMBB(tc_fun(_u18718, tc_HOL_Obool), tc_HOL_Obool, _u18719), c_Enum_Oenum__class_Oenum__all(_u18718)), hAPP(hAPP(c_COMBB(tc_fun(_u18718, tc_prod(_u18719, _u18718)), tc_fun(_u18718, tc_HOL_Obool), _u18719), hAPP(c_COMBB(tc_prod(_u18719, _u18718), tc_HOL_Obool, _u18718), _u18720)), c_Product__Type_OPair(_u18719, _u18718))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u18719, _u18718)), _u18720)) )).
% 12.54/12.79 cnf(matrix-7730, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18722), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18723)), _u18724))) | hBOOL(hAPP(_u18725, hAPP(hAPP(c_List_Onth(_u18723), _u18724), _u18722))) | hBOOL(hAPP(hAPP(c_member(_u18723), skolem500(_u18725, _u18724, _u18723, _u18722)), hAPP(c_List_Oset(_u18723), _u18724))) )).
% 12.54/12.79 cnf(matrix-7731, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18722), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18723)), _u18724))) | hBOOL(hAPP(_u18725, hAPP(hAPP(c_List_Onth(_u18723), _u18724), _u18722))) | ~hBOOL(hAPP(_u18725, skolem500(_u18725, _u18724, _u18723, _u18722))) )).
% 12.54/12.79 cnf(matrix-7732, plain, ( ~class_Orderings_Olinorder(_u18727) | ~c_List_Olinorder__class_Osorted(_u18727, _u18728) | c_List_Olinorder__class_Osorted(_u18727, hAPP(hAPP(c_List_Olist_OCons(_u18727), _u18729), _u18728)) | hBOOL(hAPP(hAPP(c_member(_u18727), skolem501(_u18729, _u18728, _u18727)), hAPP(c_List_Oset(_u18727), _u18728))) )).
% 12.54/12.79 cnf(matrix-7733, plain, ( ~class_Orderings_Olinorder(_u18727) | ~c_List_Olinorder__class_Osorted(_u18727, _u18728) | c_List_Olinorder__class_Osorted(_u18727, hAPP(hAPP(c_List_Olist_OCons(_u18727), _u18729), _u18728)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18727), _u18729), skolem501(_u18729, _u18728, _u18727))) )).
% 12.54/12.79 cnf(matrix-7734, plain, ( ~c_List_Olist__ex(_u18735, _u18737, _u18739) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem502(_u18739, _u18737, _u18735)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18735)), _u18739))) )).
% 12.54/12.79 cnf(matrix-7735, plain, ( ~c_List_Olist__ex(_u18735, _u18737, _u18739) | hBOOL(hAPP(_u18737, hAPP(hAPP(c_List_Onth(_u18735), _u18739), skolem502(_u18739, _u18737, _u18735)))) )).
% 12.54/12.79 cnf(matrix-7736, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18731), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18736)), _u18740))) | ~hBOOL(hAPP(_u18738, hAPP(hAPP(c_List_Onth(_u18736), _u18740), _u18731))) | c_List_Olist__ex(_u18736, _u18738, _u18740) )).
% 12.54/12.79 cnf(matrix-7737, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18748), _u18750), hAPP(c_List_Oset(_u18748), _u18752))) | ( _u18752 = hAPP(hAPP(c_List_Oappend(_u18748), skolem503(_u18752, _u18750, _u18748)), hAPP(hAPP(c_List_Olist_OCons(_u18748), _u18750), skolem504(_u18752, _u18750, _u18748)))) )).
% 12.54/12.79 cnf(matrix-7738, plain, ( ( _u18753 != hAPP(hAPP(c_List_Oappend(_u18749), _u18744), hAPP(hAPP(c_List_Olist_OCons(_u18749), _u18751), _u18743))) | hBOOL(hAPP(hAPP(c_member(_u18749), _u18751), hAPP(c_List_Oset(_u18749), _u18753))) )).
% 12.54/12.79 cnf(matrix-7739, plain, ( ~c_List_Olist__ex(_u18754, _u18755, c_List_Olist_ONil(_u18754)) )).
% 12.54/12.79 cnf(matrix-7740, plain, ( ~c_List_Olist__ex(_u18760, _u18762, hAPP(hAPP(c_List_Oappend(_u18760), _u18764), _u18766)) | c_List_Olist__ex(_u18760, _u18762, _u18764) | c_List_Olist__ex(_u18760, _u18762, _u18766) )).
% 12.54/12.79 cnf(matrix-7741, plain, ( c_List_Olist__ex(_u18761, _u18763, hAPP(hAPP(c_List_Oappend(_u18761), _u18765), _u18767)) | ~c_List_Olist__ex(_u18761, _u18763, _u18765) )).
% 12.54/12.79 cnf(matrix-7742, plain, ( c_List_Olist__ex(_u18761, _u18763, hAPP(hAPP(c_List_Oappend(_u18761), _u18765), _u18767)) | ~c_List_Olist__ex(_u18761, _u18763, _u18767) )).
% 12.54/12.79 cnf(matrix-7743, plain, ( ~c_List_Olist__ex(_u18773, _u18775, _u18777) | hBOOL(hAPP(hAPP(c_member(_u18773), skolem505(_u18777, _u18775, _u18773)), hAPP(c_List_Oset(_u18773), _u18777))) )).
% 12.54/12.79 cnf(matrix-7744, plain, ( ~c_List_Olist__ex(_u18773, _u18775, _u18777) | hBOOL(hAPP(_u18775, skolem505(_u18777, _u18775, _u18773))) )).
% 12.54/12.79 cnf(matrix-7745, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18774), _u18769), hAPP(c_List_Oset(_u18774), _u18778))) | ~hBOOL(hAPP(_u18776, _u18769)) | c_List_Olist__ex(_u18774, _u18776, _u18778) )).
% 12.54/12.79 cnf(matrix-7746, plain, ( ~c_List_Olist__ex(_u18782, _u18784, hAPP(c_List_Orev(_u18782), _u18786)) | c_List_Olist__ex(_u18782, _u18784, _u18786) )).
% 12.54/12.79 cnf(matrix-7747, plain, ( ~c_List_Olist__ex(_u18783, _u18785, _u18787) | c_List_Olist__ex(_u18783, _u18785, hAPP(c_List_Orev(_u18783), _u18787)) )).
% 12.54/12.79 cnf(matrix-7748, plain, ( ~c_List_Olist__ex(_u18792, _u18794, hAPP(hAPP(c_List_Olist_OCons(_u18792), _u18796), _u18798)) | hBOOL(hAPP(_u18794, _u18796)) | c_List_Olist__ex(_u18792, _u18794, _u18798) )).
% 12.54/12.79 cnf(matrix-7749, plain, ( c_List_Olist__ex(_u18793, _u18795, hAPP(hAPP(c_List_Olist_OCons(_u18793), _u18797), _u18799)) | ~hBOOL(hAPP(_u18795, _u18797)) )).
% 12.54/12.79 cnf(matrix-7750, plain, ( c_List_Olist__ex(_u18793, _u18795, hAPP(hAPP(c_List_Olist_OCons(_u18793), _u18797), _u18799)) | ~c_List_Olist__ex(_u18793, _u18795, _u18799) )).
% 12.54/12.79 cnf(matrix-7751, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18807), _u18809), hAPP(c_List_Oset(_u18807), _u18811))) | ( _u18811 = hAPP(hAPP(c_List_Oappend(_u18807), skolem506(_u18811, _u18809, _u18807)), hAPP(hAPP(c_List_Olist_OCons(_u18807), _u18809), skolem507(_u18811, _u18809, _u18807)))) )).
% 12.54/12.79 cnf(matrix-7752, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18807), _u18809), hAPP(c_List_Oset(_u18807), _u18811))) | ~hBOOL(hAPP(hAPP(c_member(_u18807), _u18809), hAPP(c_List_Oset(_u18807), skolem506(_u18811, _u18809, _u18807)))) )).
% 12.54/12.79 cnf(matrix-7753, plain, ( ( _u18812 != hAPP(hAPP(c_List_Oappend(_u18808), _u18803), hAPP(hAPP(c_List_Olist_OCons(_u18808), _u18810), _u18802))) | hBOOL(hAPP(hAPP(c_member(_u18808), _u18810), hAPP(c_List_Oset(_u18808), _u18803))) | hBOOL(hAPP(hAPP(c_member(_u18808), _u18810), hAPP(c_List_Oset(_u18808), _u18812))) )).
% 12.54/12.79 cnf(matrix-7754, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18820), _u18822), hAPP(c_List_Oset(_u18820), _u18824))) | ( _u18824 = hAPP(hAPP(c_List_Oappend(_u18820), skolem508(_u18824, _u18822, _u18820)), hAPP(hAPP(c_List_Olist_OCons(_u18820), _u18822), skolem509(_u18824, _u18822, _u18820)))) )).
% 12.54/12.79 cnf(matrix-7755, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18820), _u18822), hAPP(c_List_Oset(_u18820), _u18824))) | ~hBOOL(hAPP(hAPP(c_member(_u18820), _u18822), hAPP(c_List_Oset(_u18820), skolem509(_u18824, _u18822, _u18820)))) )).
% 12.54/12.79 cnf(matrix-7756, plain, ( ( _u18825 != hAPP(hAPP(c_List_Oappend(_u18821), _u18816), hAPP(hAPP(c_List_Olist_OCons(_u18821), _u18823), _u18815))) | hBOOL(hAPP(hAPP(c_member(_u18821), _u18823), hAPP(c_List_Oset(_u18821), _u18815))) | hBOOL(hAPP(hAPP(c_member(_u18821), _u18823), hAPP(c_List_Oset(_u18821), _u18825))) )).
% 12.54/12.79 cnf(matrix-7757, plain, ( ~c_List_Olist__all(_u18831, _u18833, _u18835) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18826), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18831)), _u18835))) | hBOOL(hAPP(_u18833, hAPP(hAPP(c_List_Onth(_u18831), _u18835), _u18826))) )).
% 12.54/12.79 cnf(matrix-7758, plain, ( c_List_Olist__all(_u18832, _u18834, _u18836) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem510(_u18836, _u18834, _u18832)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18832)), _u18836))) )).
% 12.54/12.79 cnf(matrix-7759, plain, ( c_List_Olist__all(_u18832, _u18834, _u18836) | ~hBOOL(hAPP(_u18834, hAPP(hAPP(c_List_Onth(_u18832), _u18836), skolem510(_u18836, _u18834, _u18832)))) )).
% 12.54/12.79 cnf(matrix-7760, plain, ( c_FunDef_Ois__measure(tc_Int_Oint, hAPP(c_Fun_Ocomp(tc_Int_Oint, tc_Nat_Onat, tc_Int_Oint, c_Int_Onat), c_Groups_Oabs__class_Oabs(tc_Int_Oint))) )).
% 12.54/12.79 cnf(matrix-7761, plain, ( c_List_Olist__all(_u18837, _u18838, c_List_Olist_ONil(_u18837)) )).
% 12.54/12.79 cnf(matrix-7762, plain, ( ~c_List_Olist__all(_u18843, _u18845, hAPP(hAPP(c_List_Oappend(_u18843), _u18847), _u18849)) | c_List_Olist__all(_u18843, _u18845, _u18847) )).
% 12.54/12.79 cnf(matrix-7763, plain, ( ~c_List_Olist__all(_u18843, _u18845, hAPP(hAPP(c_List_Oappend(_u18843), _u18847), _u18849)) | c_List_Olist__all(_u18843, _u18845, _u18849) )).
% 12.54/12.79 cnf(matrix-7764, plain, ( ~c_List_Olist__all(_u18844, _u18846, _u18848) | ~c_List_Olist__all(_u18844, _u18846, _u18850) | c_List_Olist__all(_u18844, _u18846, hAPP(hAPP(c_List_Oappend(_u18844), _u18848), _u18850)) )).
% 12.54/12.79 cnf(matrix-7765, plain, ( ~class_Nat_Osize(_u18851) | c_FunDef_Ois__measure(_u18851, c_Nat_Osize__class_Osize(_u18851)) )).
% 12.54/12.79 cnf(matrix-7766, plain, ( c_FunDef_Ois__measure(_u18852, _u18853) )).
% 12.54/12.79 cnf(matrix-7767, plain, ( c_FunDef_Ois__measure(_u18854, _u18855) )).
% 12.54/12.79 cnf(matrix-7768, plain, ( c_FunDef_Ois__measure(_u18856, _u18857) )).
% 12.54/12.79 cnf(matrix-7769, plain, ( ~c_List_Olist__all(_u18863, _u18865, _u18867) | ~hBOOL(hAPP(hAPP(c_member(_u18863), _u18858), hAPP(c_List_Oset(_u18863), _u18867))) | hBOOL(hAPP(_u18865, _u18858)) )).
% 12.54/12.79 cnf(matrix-7770, plain, ( c_List_Olist__all(_u18864, _u18866, _u18868) | hBOOL(hAPP(hAPP(c_member(_u18864), skolem511(_u18868, _u18866, _u18864)), hAPP(c_List_Oset(_u18864), _u18868))) )).
% 12.54/12.79 cnf(matrix-7771, plain, ( c_List_Olist__all(_u18864, _u18866, _u18868) | ~hBOOL(hAPP(_u18866, skolem511(_u18868, _u18866, _u18864))) )).
% 12.54/12.79 cnf(matrix-7772, plain, ( ~c_FunDef_Ois__measure(_u18869, _u18870) | c_FunDef_Ois__measure(tc_prod(_u18871, _u18869), hAPP(hAPP(c_COMBB(_u18869, tc_Nat_Onat, tc_prod(_u18871, _u18869)), _u18870), c_Product__Type_Osnd(_u18871, _u18869))) )).
% 12.54/12.80 cnf(matrix-7773, plain, ( ~c_FunDef_Ois__measure(_u18872, _u18873) | c_FunDef_Ois__measure(tc_prod(_u18872, _u18874), hAPP(hAPP(c_COMBB(_u18872, tc_Nat_Onat, tc_prod(_u18872, _u18874)), _u18873), c_Product__Type_Ofst(_u18872, _u18874))) )).
% 12.54/12.80 cnf(matrix-7774, plain, ( ~c_List_Olist__all(_u18878, _u18880, hAPP(c_List_Orev(_u18878), _u18882)) | c_List_Olist__all(_u18878, _u18880, _u18882) )).
% 12.54/12.80 cnf(matrix-7775, plain, ( ~c_List_Olist__all(_u18879, _u18881, _u18883) | c_List_Olist__all(_u18879, _u18881, hAPP(c_List_Orev(_u18879), _u18883)) )).
% 12.54/12.80 cnf(matrix-7776, plain, ( ~c_List_Olist__all(_u18888, _u18890, hAPP(hAPP(c_List_Olist_OCons(_u18888), _u18892), _u18894)) | hBOOL(hAPP(_u18890, _u18892)) )).
% 12.54/12.80 cnf(matrix-7777, plain, ( ~c_List_Olist__all(_u18888, _u18890, hAPP(hAPP(c_List_Olist_OCons(_u18888), _u18892), _u18894)) | c_List_Olist__all(_u18888, _u18890, _u18894) )).
% 12.54/12.80 cnf(matrix-7778, plain, ( ~hBOOL(hAPP(_u18891, _u18893)) | ~c_List_Olist__all(_u18889, _u18891, _u18895) | c_List_Olist__all(_u18889, _u18891, hAPP(hAPP(c_List_Olist_OCons(_u18889), _u18893), _u18895)) )).
% 12.54/12.80 cnf(matrix-7779, plain, ( c_List_Olist__all(_u18901, _u18905, _u18903) | hBOOL(hAPP(hAPP(c_member(_u18901), skolem512(_u18905, _u18903, _u18901)), hAPP(c_List_Oset(_u18901), _u18903))) )).
% 12.54/12.80 cnf(matrix-7780, plain, ( c_List_Olist__all(_u18901, _u18905, _u18903) | ~hBOOL(hAPP(_u18905, skolem512(_u18905, _u18903, _u18901))) )).
% 12.54/12.80 cnf(matrix-7781, plain, ( ~c_List_Olist__all(_u18902, _u18906, _u18904) | ~hBOOL(hAPP(hAPP(c_member(_u18902), _u18897), hAPP(c_List_Oset(_u18902), _u18904))) | hBOOL(hAPP(_u18906, _u18897)) )).
% 12.54/12.80 cnf(matrix-7782, plain, ( ~c_List_Olist__all(_u18912, _u18914, _u18916) | ~hBOOL(hAPP(hAPP(c_member(_u18912), _u18907), hAPP(c_List_Oset(_u18912), _u18916))) | hBOOL(hAPP(_u18914, _u18907)) )).
% 12.54/12.80 cnf(matrix-7783, plain, ( c_List_Olist__all(_u18913, _u18915, _u18917) | hBOOL(hAPP(hAPP(c_member(_u18913), skolem513(_u18917, _u18915, _u18913)), hAPP(c_List_Oset(_u18913), _u18917))) )).
% 12.54/12.80 cnf(matrix-7784, plain, ( c_List_Olist__all(_u18913, _u18915, _u18917) | ~hBOOL(hAPP(_u18915, skolem513(_u18917, _u18915, _u18913))) )).
% 12.54/12.80 cnf(matrix-7785, plain, ( ~c_List_Olist__ex1(_u18922, _u18924, hAPP(hAPP(c_List_Olist_OCons(_u18922), _u18926), _u18928)) | ~hBOOL(hAPP(_u18924, _u18926)) | c_List_Olist__all(_u18922, hAPP(hAPP(c_COMBS(_u18922, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18922), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18922), c_fNot), _u18924))), hAPP(c_fequal, _u18926)), _u18928) )).
% 12.54/12.80 cnf(matrix-7786, plain, ( ~c_List_Olist__ex1(_u18922, _u18924, hAPP(hAPP(c_List_Olist_OCons(_u18922), _u18926), _u18928)) | hBOOL(hAPP(_u18924, _u18926)) | c_List_Olist__ex1(_u18922, _u18924, _u18928) )).
% 12.54/12.80 cnf(matrix-7787, plain, ( c_List_Olist__ex1(_u18923, _u18925, hAPP(hAPP(c_List_Olist_OCons(_u18923), _u18927), _u18929)) | hBOOL(hAPP(_u18925, _u18927)) | ~c_List_Olist__ex1(_u18923, _u18925, _u18929) )).
% 12.54/12.80 cnf(matrix-7788, plain, ( c_List_Olist__ex1(_u18923, _u18925, hAPP(hAPP(c_List_Olist_OCons(_u18923), _u18927), _u18929)) | ~c_List_Olist__all(_u18923, hAPP(hAPP(c_COMBS(_u18923, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18923), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18923), c_fNot), _u18925))), hAPP(c_fequal, _u18927)), _u18929) | ~hBOOL(hAPP(_u18925, _u18927)) )).
% 12.54/12.80 cnf(matrix-7789, plain, ( c_List_Olist__ex1(_u18923, _u18925, hAPP(hAPP(c_List_Olist_OCons(_u18923), _u18927), _u18929)) | ~c_List_Olist__all(_u18923, hAPP(hAPP(c_COMBS(_u18923, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18923), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18923), c_fNot), _u18925))), hAPP(c_fequal, _u18927)), _u18929) | ~c_List_Olist__ex1(_u18923, _u18925, _u18929) )).
% 12.54/12.80 cnf(matrix-7790, plain, ( c_Nat__Transfer_Otransfer__morphism(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_COMBK(tc_HOL_Obool, tc_Nat_Onat), c_fTrue)) )).
% 12.54/12.80 cnf(matrix-7791, plain, ( ~c_List_Olist__ex1(_u18930, _u18931, c_List_Olist_ONil(_u18930)) )).
% 12.54/12.80 cnf(matrix-7792, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool), c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.80 cnf(matrix-7793, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool), c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.80 cnf(matrix-7794, plain, ( ~c_List_Olist__ex1(_u18939, _u18941, _u18943) | hBOOL(hAPP(hAPP(c_member(_u18939), skolem514(_u18943, _u18941, _u18939)), hAPP(c_List_Oset(_u18939), _u18943))) )).
% 12.54/12.80 cnf(matrix-7795, plain, ( ~c_List_Olist__ex1(_u18939, _u18941, _u18943) | hBOOL(hAPP(_u18941, skolem514(_u18943, _u18941, _u18939))) )).
% 12.54/12.80 cnf(matrix-7796, plain, ( ~c_List_Olist__ex1(_u18939, _u18941, _u18943) | ~hBOOL(hAPP(hAPP(c_member(_u18939), _u18932), hAPP(c_List_Oset(_u18939), _u18943))) | ~hBOOL(hAPP(_u18941, _u18932)) | ( _u18932 = skolem514(_u18943, _u18941, _u18939)) )).
% 12.54/12.80 cnf(matrix-7797, plain, ( c_List_Olist__ex1(_u18940, _u18942, _u18944) | ~hBOOL(hAPP(hAPP(c_member(_u18940), _u18935), hAPP(c_List_Oset(_u18940), _u18944))) | ~hBOOL(hAPP(_u18942, _u18935)) | hBOOL(hAPP(hAPP(c_member(_u18940), skolem515(_u18944, _u18942, _u18940, _u18935)), hAPP(c_List_Oset(_u18940), _u18944))) )).
% 12.54/12.80 cnf(matrix-7798, plain, ( c_List_Olist__ex1(_u18940, _u18942, _u18944) | ~hBOOL(hAPP(hAPP(c_member(_u18940), _u18935), hAPP(c_List_Oset(_u18940), _u18944))) | ~hBOOL(hAPP(_u18942, _u18935)) | hBOOL(hAPP(_u18942, skolem515(_u18944, _u18942, _u18940, _u18935))) )).
% 12.54/12.80 cnf(matrix-7799, plain, ( c_List_Olist__ex1(_u18940, _u18942, _u18944) | ~hBOOL(hAPP(hAPP(c_member(_u18940), _u18935), hAPP(c_List_Oset(_u18940), _u18944))) | ~hBOOL(hAPP(_u18942, _u18935)) | ( skolem515(_u18944, _u18942, _u18940, _u18935) != _u18935) )).
% 12.54/12.80 cnf(matrix-7800, plain, ( ( _u18950 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u18952, _u18954, _u18956, _u18958), _u18950) = c_Lazy__Sequence_Ohit__bound(_u18954)) )).
% 12.54/12.80 cnf(matrix-7801, plain, ( ( _u18951 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u18953, _u18955, _u18957, _u18959), _u18951) = c_Lazy__Sequence_Ohb__bind(_u18953, _u18955, hAPP(_u18957, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u18951), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBC(_u18953, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u18955))), _u18959), _u18951))) )).
% 12.54/12.80 cnf(matrix-7802, plain, ( ( _u18965 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u18967, _u18969, _u18971, _u18973), _u18965) = c_Lazy__Sequence_Oempty(_u18969)) )).
% 12.54/12.80 cnf(matrix-7803, plain, ( ( _u18966 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u18968, _u18970, _u18972, _u18974), _u18966) = hAPP(c_Lazy__Sequence_Obind(_u18968, _u18970, hAPP(_u18972, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u18966), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))), hAPP(hAPP(c_COMBC(_u18968, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u18970)), _u18974), _u18966))) )).
% 12.54/12.80 cnf(matrix-7804, plain, ( ( c_New__Random__Sequence_Oneg__decr__bind(_u18975, _u18976, _u18977, _u18978, _u18979, _u18980, _u18981) = c_New__DSequence_Oneg__decr__bind(_u18975, _u18976, hAPP(hAPP(hAPP(_u18977, _u18979), _u18980), _u18981), hAPP(hAPP(c_COMBC(_u18975, 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(_u18976)))), hAPP(hAPP(c_COMBC(_u18975, 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(_u18976))))), hAPP(hAPP(c_COMBC(_u18975, 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(_u18976)))))), _u18978), _u18979)), _u18980)), _u18981))) )).
% 12.54/12.80 cnf(matrix-7805, plain, ( ( c_New__Random__Sequence_Opos__decr__bind(_u18982, _u18983, _u18984, _u18985, _u18986, _u18987, _u18988) = c_New__DSequence_Opos__decr__bind(_u18982, _u18983, hAPP(hAPP(hAPP(_u18984, _u18986), _u18987), _u18988), hAPP(hAPP(c_COMBC(_u18982, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u18983))), hAPP(hAPP(c_COMBC(_u18982, 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(_u18983)))), hAPP(hAPP(c_COMBC(_u18982, 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(_u18983))))), _u18985), _u18986)), _u18987)), _u18988))) )).
% 12.54/12.80 cnf(matrix-7806, plain, ( ( hAPP(c_New__DSequence_Oneg__bind(_u18989, _u18990, _u18991, _u18992), _u18993) = c_Lazy__Sequence_Ohb__bind(_u18989, _u18990, hAPP(_u18991, _u18993), hAPP(hAPP(c_COMBC(_u18989, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u18990))), _u18992), _u18993))) )).
% 12.54/12.80 cnf(matrix-7807, plain, ( ( hAPP(c_New__DSequence_Opos__empty(_u18994), _u18995) = c_Lazy__Sequence_Oempty(_u18994)) )).
% 12.54/12.80 cnf(matrix-7808, plain, ( ( c_New__Random__Sequence_Opos__empty(_u18996, _u18997, _u18998, _u18999) = c_New__DSequence_Opos__empty(_u18996)) )).
% 12.54/12.80 cnf(matrix-7809, plain, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(_u19000, _u19001, _u19002, _u19003), _u19004), _u19005), _u19006) = c_New__DSequence_Oneg__bind(_u19000, _u19001, hAPP(hAPP(hAPP(_u19002, _u19004), _u19005), _u19006), hAPP(hAPP(c_COMBC(_u19000, 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(_u19001)))), hAPP(hAPP(c_COMBC(_u19000, 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(_u19001))))), hAPP(hAPP(c_COMBC(_u19000, 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(_u19001)))))), _u19003), _u19004)), _u19005)), _u19006))) )).
% 12.54/12.80 cnf(matrix-7810, plain, ( ( hAPP(c_New__DSequence_Opos__bind(_u19007, _u19008, _u19009, _u19010), _u19011) = hAPP(c_Lazy__Sequence_Obind(_u19007, _u19008, hAPP(_u19009, _u19011)), hAPP(hAPP(c_COMBC(_u19007, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19008)), _u19010), _u19011))) )).
% 12.54/12.80 cnf(matrix-7811, plain, ( ( c_New__Random__Sequence_Oneg__map(_u19012, _u19013, _u19014, _u19015) = c_New__Random__Sequence_Oneg__bind(_u19012, _u19013, _u19015, hAPP(c_Fun_Ocomp(_u19013, 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(_u19013)))))), _u19012, c_New__Random__Sequence_Oneg__single(_u19013)), _u19014))) )).
% 12.54/12.80 cnf(matrix-7812, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(_u19016), _u19017), _u19018), _u19019), _u19020) = c_New__DSequence_Oneg__single(_u19016, _u19017)) )).
% 12.54/12.80 cnf(matrix-7813, plain, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(_u19021, _u19022, _u19023, _u19024), _u19025), _u19026), _u19027) = c_New__DSequence_Opos__bind(_u19021, _u19022, hAPP(hAPP(hAPP(_u19023, _u19025), _u19026), _u19027), hAPP(hAPP(c_COMBC(_u19021, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19022))), hAPP(hAPP(c_COMBC(_u19021, 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(_u19022)))), hAPP(hAPP(c_COMBC(_u19021, 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(_u19022))))), _u19024), _u19025)), _u19026)), _u19027))) )).
% 12.54/12.80 cnf(matrix-7814, plain, ( ( hAPP(c_New__DSequence_Oneg__single(_u19028, _u19029), _u19030) = c_Lazy__Sequence_Ohb__single(_u19028, _u19029)) )).
% 12.54/12.80 cnf(matrix-7815, plain, ( ( c_New__Random__Sequence_Opos__map(_u19031, _u19032, _u19033, _u19034) = c_New__Random__Sequence_Opos__bind(_u19031, _u19032, _u19034, hAPP(c_Fun_Ocomp(_u19032, 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(_u19032))))), _u19031, c_New__Random__Sequence_Opos__single(_u19032)), _u19033))) )).
% 12.54/12.80 cnf(matrix-7816, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(_u19035), _u19036), _u19037), _u19038), _u19039) = c_New__DSequence_Opos__single(_u19035, _u19036)) )).
% 12.54/12.80 cnf(matrix-7817, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19040)), c_List_Osplice(_u19040, _u19041, _u19042)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19040)), _u19041)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19040)), _u19042))) )).
% 12.54/12.80 cnf(matrix-7818, plain, ( ( c_List_Osplice(_u19043, hAPP(hAPP(c_List_Olist_OCons(_u19043), _u19044), _u19045), hAPP(hAPP(c_List_Olist_OCons(_u19043), _u19046), _u19047)) = hAPP(hAPP(c_List_Olist_OCons(_u19043), _u19044), hAPP(hAPP(c_List_Olist_OCons(_u19043), _u19046), c_List_Osplice(_u19043, _u19045, _u19047)))) )).
% 12.54/12.80 cnf(matrix-7819, plain, ( ( c_List_Osplice(_u19048, _u19049, c_List_Olist_ONil(_u19048)) = _u19049) )).
% 12.54/12.80 cnf(matrix-7820, plain, ( ( c_List_Osplice(_u19050, c_List_Olist_ONil(_u19050), _u19051) = _u19051) )).
% 12.54/12.80 cnf(matrix-7821, plain, ( ( c_List_Osplice(_u19052, hAPP(hAPP(c_List_Olist_OCons(_u19052), _u19053), _u19054), c_List_Olist_ONil(_u19052)) = hAPP(hAPP(c_List_Olist_OCons(_u19052), _u19053), _u19054)) )).
% 12.54/12.80 cnf(matrix-7822, plain, ( ( hAPP(c_New__DSequence_Opos__single(_u19055, _u19056), _u19057) = hAPP(c_Lazy__Sequence_Osingle(_u19055), _u19056)) )).
% 12.54/12.80 cnf(matrix-7823, plain, ( ~c_Wellfounded_Oacyclic(_u19060, hAPP(c_Set_OCollect(tc_prod(_u19060, _u19060)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19060, _u19060, tc_HOL_Obool), c_Predicate_Oconversep(_u19060, _u19060, _u19062)))) | c_Wellfounded_Oacyclic(_u19060, hAPP(c_Set_OCollect(tc_prod(_u19060, _u19060)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19060, _u19060, tc_HOL_Obool), _u19062))) )).
% 12.54/12.80 cnf(matrix-7824, plain, ( ~c_Wellfounded_Oacyclic(_u19061, hAPP(c_Set_OCollect(tc_prod(_u19061, _u19061)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19061, _u19061, tc_HOL_Obool), _u19063))) | c_Wellfounded_Oacyclic(_u19061, hAPP(c_Set_OCollect(tc_prod(_u19061, _u19061)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19061, _u19061, tc_HOL_Obool), c_Predicate_Oconversep(_u19061, _u19061, _u19063)))) )).
% 12.54/12.80 cnf(matrix-7825, plain, ( ( c_Predicate_Oconversep(_u19064, _u19065, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19064, tc_fun(_u19065, tc_HOL_Obool))), _u19066), _u19067)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19065, tc_fun(_u19064, tc_HOL_Obool))), c_Predicate_Oconversep(_u19064, _u19065, _u19066)), c_Predicate_Oconversep(_u19064, _u19065, _u19067))) )).
% 12.54/12.80 cnf(matrix-7826, plain, ( ( c_Predicate_Oconversep(_u19068, _u19069, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19068, tc_fun(_u19069, tc_HOL_Obool))), _u19070), _u19071)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19069, tc_fun(_u19068, tc_HOL_Obool))), c_Predicate_Oconversep(_u19068, _u19069, _u19070)), c_Predicate_Oconversep(_u19068, _u19069, _u19071))) )).
% 12.54/12.80 cnf(matrix-7827, plain, ( ( c_Predicate_Oconversep(_u19072, _u19072, c_fequal) = c_fequal) )).
% 12.54/12.80 cnf(matrix-7828, plain, ( ( c_Predicate_Oconversep(_u19073, _u19074, c_Predicate_Oconversep(_u19074, _u19073, _u19075)) = _u19075) )).
% 12.54/12.80 cnf(matrix-7829, plain, ( hBOOL(hAPP(hAPP(_u19085, _u19089), _u19087)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19081, _u19083, _u19085), _u19087), _u19089)) )).
% 12.54/12.80 cnf(matrix-7830, plain, ( ~hBOOL(hAPP(hAPP(_u19086, _u19090), _u19088)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19082, _u19084, _u19086), _u19088), _u19090)) )).
% 12.54/12.80 cnf(matrix-7831, plain, ( hBOOL(hAPP(hAPP(_u19100, _u19104), _u19102)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19096, _u19098, _u19100), _u19102), _u19104)) )).
% 12.54/12.80 cnf(matrix-7832, plain, ( ~hBOOL(hAPP(hAPP(_u19101, _u19105), _u19103)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19097, _u19099, _u19101), _u19103), _u19105)) )).
% 12.54/12.80 cnf(matrix-7833, plain, ( ~hBOOL(hAPP(hAPP(_u19106, _u19107), _u19108)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19109, _u19110, _u19106), _u19108), _u19107)) )).
% 12.54/12.80 cnf(matrix-7834, plain, ( hBOOL(hAPP(hAPP(_u19113, _u19115), _u19114)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19111, _u19112, _u19113), _u19114), _u19115)) )).
% 12.54/12.80 cnf(matrix-7835, plain, ( ( _u19121 != _u19123) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19119, _u19119, hAPP(hAPP(c_COMBB(tc_fun(_u19119, tc_HOL_Obool), tc_fun(_u19119, tc_HOL_Obool), _u19119), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19119), c_fNot)), c_fequal)), _u19121), _u19123)) )).
% 12.54/12.80 cnf(matrix-7836, plain, ( ( _u19122 = _u19124) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19120, _u19120, hAPP(hAPP(c_COMBB(tc_fun(_u19120, tc_HOL_Obool), tc_fun(_u19120, tc_HOL_Obool), _u19120), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19120), c_fNot)), c_fequal)), _u19122), _u19124)) )).
% 12.54/12.80 cnf(matrix-7837, plain, ( ( c_Predicate_Oconversep(_u19125, _u19126, c_Predicate_Opred__comp(_u19125, _u19127, _u19126, _u19128, _u19129)) = c_Predicate_Opred__comp(_u19126, _u19127, _u19125, c_Predicate_Oconversep(_u19127, _u19126, _u19129), c_Predicate_Oconversep(_u19125, _u19127, _u19128))) )).
% 12.54/12.80 cnf(matrix-7838, plain, ( ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19135, _u19137, hAPP(hAPP(c_COMBC(_u19135, tc_fun(tc_prod(_u19135, _u19137), tc_HOL_Obool), tc_fun(_u19137, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19137, tc_fun(tc_fun(tc_prod(_u19135, _u19137), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u19135, _u19137), tc_HOL_Obool), tc_fun(_u19137, tc_HOL_Obool)), _u19135), c_COMBC(_u19137, tc_fun(tc_prod(_u19135, _u19137), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19137, tc_prod(_u19135, _u19137)), tc_fun(_u19137, tc_fun(tc_fun(tc_prod(_u19135, _u19137), tc_HOL_Obool), tc_HOL_Obool)), _u19135), hAPP(c_COMBB(tc_prod(_u19135, _u19137), tc_fun(tc_fun(tc_prod(_u19135, _u19137), tc_HOL_Obool), tc_HOL_Obool), _u19137), c_member(tc_prod(_u19135, _u19137)))), c_Product__Type_OPair(_u19135, _u19137)))), _u19139)), _u19141), _u19143)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19137, _u19135)), hAPP(hAPP(c_Product__Type_OPair(_u19137, _u19135), _u19141), _u19143)), hAPP(c_Relation_Oconverse(_u19135, _u19137), _u19139))) )).
% 12.54/12.80 cnf(matrix-7839, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19138, _u19136)), hAPP(hAPP(c_Product__Type_OPair(_u19138, _u19136), _u19142), _u19144)), hAPP(c_Relation_Oconverse(_u19136, _u19138), _u19140))) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19136, _u19138, hAPP(hAPP(c_COMBC(_u19136, tc_fun(tc_prod(_u19136, _u19138), tc_HOL_Obool), tc_fun(_u19138, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19138, tc_fun(tc_fun(tc_prod(_u19136, _u19138), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u19136, _u19138), tc_HOL_Obool), tc_fun(_u19138, tc_HOL_Obool)), _u19136), c_COMBC(_u19138, tc_fun(tc_prod(_u19136, _u19138), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19138, tc_prod(_u19136, _u19138)), tc_fun(_u19138, tc_fun(tc_fun(tc_prod(_u19136, _u19138), tc_HOL_Obool), tc_HOL_Obool)), _u19136), hAPP(c_COMBB(tc_prod(_u19136, _u19138), tc_fun(tc_fun(tc_prod(_u19136, _u19138), tc_HOL_Obool), tc_HOL_Obool), _u19138), c_member(tc_prod(_u19136, _u19138)))), c_Product__Type_OPair(_u19136, _u19138)))), _u19140)), _u19142), _u19144)) )).
% 12.54/12.80 cnf(matrix-7840, plain, ( ( c_Lazy__Sequence_Oproduct(_u19145, _u19146, _u19147, _u19148) = hAPP(c_Lazy__Sequence_Obind(_u19145, tc_prod(_u19145, _u19146), _u19147), hAPP(hAPP(c_COMBB(tc_fun(_u19146, tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19145, _u19146))), tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19145, _u19146)), _u19145), c_Lazy__Sequence_Obind(_u19146, tc_prod(_u19145, _u19146), _u19148)), hAPP(hAPP(c_COMBB(tc_fun(_u19146, tc_prod(_u19145, _u19146)), tc_fun(_u19146, tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19145, _u19146))), _u19145), hAPP(c_COMBB(tc_prod(_u19145, _u19146), tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19145, _u19146)), _u19146), c_Lazy__Sequence_Osingle(tc_prod(_u19145, _u19146)))), c_Product__Type_OPair(_u19145, _u19146))))) )).
% 12.54/12.80 cnf(matrix-7841, plain, ( ( _u19149 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Otl(_u19150), c_List_Oreplicate(_u19150, _u19149, _u19151)) = c_List_Oreplicate(_u19150, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19149), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u19151)) )).
% 12.54/12.80 cnf(matrix-7842, plain, ( ( c_List_Oreplicate(_u19152, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19152)), hAPP(c_List_Ofilter(_u19152, hAPP(c_fequal, _u19153)), _u19154)), _u19153) = hAPP(c_List_Ofilter(_u19152, hAPP(c_fequal, _u19153)), _u19154)) )).
% 12.54/12.80 cnf(matrix-7843, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19155)), c_List_Oreplicate(_u19155, _u19156, _u19157)) = _u19156) )).
% 12.54/12.80 cnf(matrix-7844, plain, ( ( hAPP(hAPP(c_List_Omap(_u19158, _u19159), hAPP(c_COMBK(_u19159, _u19158), _u19160)), _u19161) = c_List_Oreplicate(_u19159, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19158)), _u19161), _u19160)) )).
% 12.54/12.80 cnf(matrix-7845, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19162), c_List_Oreplicate(_u19162, _u19163, _u19164)), hAPP(hAPP(c_List_Olist_OCons(_u19162), _u19164), _u19165)) = hAPP(hAPP(c_List_Olist_OCons(_u19162), _u19164), hAPP(hAPP(c_List_Oappend(_u19162), c_List_Oreplicate(_u19162, _u19163, _u19164)), _u19165))) )).
% 12.54/12.80 cnf(matrix-7846, plain, ( ( c_List_Oreplicate(_u19166, hAPP(c_Nat_OSuc, _u19167), _u19168) = hAPP(hAPP(c_List_Olist_OCons(_u19166), _u19168), c_List_Oreplicate(_u19166, _u19167, _u19168))) )).
% 12.54/12.80 cnf(matrix-7847, plain, ( ( hAPP(c_List_Orev(_u19169), c_List_Oreplicate(_u19169, _u19170, _u19171)) = c_List_Oreplicate(_u19169, _u19170, _u19171)) )).
% 12.54/12.80 cnf(matrix-7848, plain, ( ( hAPP(hAPP(c_List_Otake(_u19172), _u19173), c_List_Oreplicate(_u19172, _u19174, _u19175)) = c_List_Oreplicate(_u19172, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u19173), _u19174), _u19175)) )).
% 12.54/12.80 cnf(matrix-7849, plain, ( ( _u19176 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Ohd(_u19177), c_List_Oreplicate(_u19177, _u19176, _u19178)) = _u19178) )).
% 12.54/12.80 cnf(matrix-7850, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19179), _u19180), c_List_Oreplicate(_u19179, _u19181, _u19182)) = c_List_Oreplicate(_u19179, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19181), _u19180), _u19182)) )).
% 12.54/12.80 cnf(matrix-7851, plain, ( ( _u19183 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olast(_u19184, c_List_Oreplicate(_u19184, _u19183, _u19185)) = _u19185) )).
% 12.54/12.80 cnf(matrix-7852, plain, ( ( hAPP(hAPP(c_List_Ozip(_u19186, _u19187), c_List_Oreplicate(_u19186, _u19188, _u19189)), c_List_Oreplicate(_u19187, _u19190, _u19191)) = c_List_Oreplicate(tc_prod(_u19186, _u19187), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u19188), _u19190), hAPP(hAPP(c_Product__Type_OPair(_u19186, _u19187), _u19189), _u19191))) )).
% 12.54/12.80 cnf(matrix-7853, plain, ( hBOOL(hAPP(_u19204, _u19202)) | ( _u19200 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19198), skolem516(_u19204, _u19202, _u19200, _u19198)), hAPP(c_List_Oset(_u19198), c_List_Oreplicate(_u19198, _u19200, _u19202)))) )).
% 12.54/12.80 cnf(matrix-7854, plain, ( hBOOL(hAPP(_u19204, _u19202)) | ( _u19200 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u19204, skolem516(_u19204, _u19202, _u19200, _u19198))) )).
% 12.54/12.80 cnf(matrix-7855, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19199), _u19193), hAPP(c_List_Oset(_u19199), c_List_Oreplicate(_u19199, _u19201, _u19203)))) | hBOOL(hAPP(_u19205, _u19193)) | ~hBOOL(hAPP(_u19205, _u19203)) )).
% 12.54/12.80 cnf(matrix-7856, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19199), _u19193), hAPP(c_List_Oset(_u19199), c_List_Oreplicate(_u19199, _u19201, _u19203)))) | hBOOL(hAPP(_u19205, _u19193)) | ( _u19201 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.80 cnf(matrix-7857, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19212), _u19206), hAPP(c_List_Oset(_u19212), c_List_Oreplicate(_u19212, _u19214, _u19216)))) | ~hBOOL(hAPP(_u19218, _u19206)) | hBOOL(hAPP(_u19218, _u19216)) )).
% 12.54/12.80 cnf(matrix-7858, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19212), _u19206), hAPP(c_List_Oset(_u19212), c_List_Oreplicate(_u19212, _u19214, _u19216)))) | ~hBOOL(hAPP(_u19218, _u19206)) | ( _u19214 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.80 cnf(matrix-7859, plain, ( ~hBOOL(hAPP(_u19219, _u19217)) | ( _u19215 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19213), skolem517(_u19219, _u19217, _u19215, _u19213)), hAPP(c_List_Oset(_u19213), c_List_Oreplicate(_u19213, _u19215, _u19217)))) )).
% 12.54/12.80 cnf(matrix-7860, plain, ( ~hBOOL(hAPP(_u19219, _u19217)) | ( _u19215 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u19219, skolem517(_u19219, _u19217, _u19215, _u19213))) )).
% 12.54/12.80 cnf(matrix-7861, plain, ( ( c_List_Oreplicate(_u19225, _u19227, _u19229) != c_List_Oreplicate(_u19225, _u19231, _u19233)) | ( _u19227 = _u19231) )).
% 12.54/12.80 cnf(matrix-7862, plain, ( ( c_List_Oreplicate(_u19225, _u19227, _u19229) != c_List_Oreplicate(_u19225, _u19231, _u19233)) | ( _u19227 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19229 = _u19233) )).
% 12.54/12.80 cnf(matrix-7863, plain, ( ( c_List_Oreplicate(_u19226, _u19228, _u19230) = c_List_Oreplicate(_u19226, _u19232, _u19234)) | ( _u19228 != _u19232) | ( _u19228 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.80 cnf(matrix-7864, plain, ( ( c_List_Oreplicate(_u19226, _u19228, _u19230) = c_List_Oreplicate(_u19226, _u19232, _u19234)) | ( _u19228 != _u19232) | ( _u19230 != _u19234) )).
% 12.54/12.80 cnf(matrix-7865, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19235), _u19236)) | ( hAPP(hAPP(c_List_Onth(_u19237), c_List_Oreplicate(_u19237, _u19236, _u19238)), _u19235) = _u19238) )).
% 12.54/12.80 cnf(matrix-7866, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19239), c_List_Oreplicate(_u19239, _u19240, _u19241)), c_List_Oreplicate(_u19239, _u19242, _u19241)) = hAPP(hAPP(c_List_Oappend(_u19239), c_List_Oreplicate(_u19239, _u19242, _u19241)), c_List_Oreplicate(_u19239, _u19240, _u19241))) )).
% 12.54/12.80 cnf(matrix-7867, plain, ( ( c_List_Oreplicate(_u19243, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19244), _u19245), _u19246) = hAPP(hAPP(c_List_Oappend(_u19243), c_List_Oreplicate(_u19243, _u19244, _u19246)), c_List_Oreplicate(_u19243, _u19245, _u19246))) )).
% 12.54/12.80 cnf(matrix-7868, plain, ( ~hBOOL(hAPP(_u19251, _u19253)) | ( hAPP(c_List_Ofilter(_u19255, _u19251), c_List_Oreplicate(_u19255, _u19257, _u19253)) = c_List_Oreplicate(_u19255, _u19257, _u19253)) )).
% 12.54/12.80 cnf(matrix-7869, plain, ( hBOOL(hAPP(_u19252, _u19254)) | ( hAPP(c_List_Ofilter(_u19256, _u19252), c_List_Oreplicate(_u19256, _u19258, _u19254)) = c_List_Olist_ONil(_u19256)) )).
% 12.54/12.80 cnf(matrix-7870, plain, ( ( c_List_Oconcat(_u19259, c_List_Oreplicate(tc_List_Olist(_u19259), _u19260, c_List_Olist_ONil(_u19259))) = c_List_Olist_ONil(_u19259)) )).
% 12.54/12.80 cnf(matrix-7871, plain, ( ( _u19266 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Oreplicate(_u19264, _u19266, _u19268) != c_List_Olist_ONil(_u19264)) )).
% 12.54/12.80 cnf(matrix-7872, plain, ( ( _u19267 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Oreplicate(_u19265, _u19267, _u19269) = c_List_Olist_ONil(_u19265)) )).
% 12.54/12.80 cnf(matrix-7873, plain, ( ( _u19275 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olist_ONil(_u19273) != c_List_Oreplicate(_u19273, _u19275, _u19277)) )).
% 12.54/12.80 cnf(matrix-7874, plain, ( ( _u19276 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olist_ONil(_u19274) = c_List_Oreplicate(_u19274, _u19276, _u19278)) )).
% 12.54/12.80 cnf(matrix-7875, plain, ( ( c_List_Oreplicate(_u19279, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u19280) = c_List_Olist_ONil(_u19279)) )).
% 12.54/12.80 cnf(matrix-7876, plain, ( ( hAPP(hAPP(c_List_Omap(_u19281, _u19282), _u19283), c_List_Oreplicate(_u19281, _u19284, _u19285)) = c_List_Oreplicate(_u19282, _u19284, hAPP(_u19283, _u19285))) )).
% 12.54/12.80 cnf(matrix-7877, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19290), _u19292), hAPP(c_List_Oset(_u19290), c_List_Oreplicate(_u19290, _u19294, _u19296)))) | ( _u19292 = _u19296) )).
% 12.54/12.80 cnf(matrix-7878, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19290), _u19292), hAPP(c_List_Oset(_u19290), c_List_Oreplicate(_u19290, _u19294, _u19296)))) | ( _u19294 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.80 cnf(matrix-7879, plain, ( ( _u19293 != _u19297) | ( _u19295 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19291), _u19293), hAPP(c_List_Oset(_u19291), c_List_Oreplicate(_u19291, _u19295, _u19297)))) )).
% 12.54/12.80 cnf(matrix-7880, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19298), c_List_Oreplicate(_u19298, _u19299, _u19300)), hAPP(hAPP(c_List_Olist_OCons(_u19298), _u19300), c_List_Olist_ONil(_u19298))) = hAPP(hAPP(c_List_Olist_OCons(_u19298), _u19300), c_List_Oreplicate(_u19298, _u19299, _u19300))) )).
% 12.54/12.80 cnf(matrix-7881, plain, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u19301), hAPP(c_COMBK(_u19301, tc_Nat_Onat), _u19302)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u19303)) = c_List_Oreplicate(_u19301, _u19303, _u19302)) )).
% 12.54/12.80 cnf(matrix-7882, plain, ( ( _u19304 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u19305), c_List_Oreplicate(_u19305, _u19304, _u19306)) = hAPP(hAPP(c_Set_Oinsert(_u19305), _u19306), c_Orderings_Obot__class_Obot(tc_fun(_u19305, tc_HOL_Obool)))) )).
% 12.54/12.80 cnf(matrix-7883, plain, ( ( _u19310 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u19312), c_List_Oreplicate(_u19312, _u19310, _u19314)) = c_Orderings_Obot__class_Obot(tc_fun(_u19312, tc_HOL_Obool))) )).
% 12.54/12.80 cnf(matrix-7884, plain, ( ( _u19311 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u19313), c_List_Oreplicate(_u19313, _u19311, _u19315)) = hAPP(hAPP(c_Set_Oinsert(_u19313), _u19315), c_Orderings_Obot__class_Obot(tc_fun(_u19313, tc_HOL_Obool)))) )).
% 12.54/12.80 cnf(matrix-7885, plain, ( ( hAPP(c_List_Oset(_u19316), c_List_Oreplicate(_u19316, hAPP(c_Nat_OSuc, _u19317), _u19318)) = hAPP(hAPP(c_Set_Oinsert(_u19316), _u19318), c_Orderings_Obot__class_Obot(tc_fun(_u19316, tc_HOL_Obool)))) )).
% 12.54/12.80 cnf(matrix-7886, plain, ( ~class_Lazy__Sequence_Osmall__lazy(_u19319) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(_u19319), _u19320) = c_Lazy__Sequence_Oappend(tc_List_Olist(_u19319), hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(_u19319)), c_List_Olist_ONil(_u19319)), hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19319))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u19320)), hAPP(c_Lazy__Sequence_Obind(tc_prod(_u19319, tc_List_Olist(_u19319)), tc_List_Olist(_u19319), c_Lazy__Sequence_Oproduct(_u19319, tc_List_Olist(_u19319), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19319, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u19320), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(_u19319), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u19320), c_Groups_Oone__class_Oone(tc_Int_Oint))))), hAPP(c_Product__Type_Oprod_Oprod__case(_u19319, tc_List_Olist(_u19319), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19319))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u19319), tc_List_Olist(_u19319)), tc_fun(tc_List_Olist(_u19319), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19319))), _u19319), hAPP(c_COMBB(tc_List_Olist(_u19319), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19319)), tc_List_Olist(_u19319)), c_Lazy__Sequence_Osingle(tc_List_Olist(_u19319)))), c_List_Olist_OCons(_u19319))))), c_Lazy__Sequence_Oempty(tc_List_Olist(_u19319))))) )).
% 12.54/12.80 cnf(matrix-7887, plain, ( ( c_Predicate_Opred__comp(_u19321, _u19321, _u19321, c_fequal, c_Predicate_Opred__comp(_u19321, _u19321, _u19321, _u19322, c_fequal)) = _u19322) )).
% 12.54/12.80 cnf(matrix-7888, plain, ( ~class_Lazy__Sequence_Osmall__lazy(_u19323) | ~class_Lazy__Sequence_Osmall__lazy(_u19324) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_prod(_u19323, _u19324), _u19325) = c_Lazy__Sequence_Oproduct(_u19323, _u19324, c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19323, _u19325), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19324, _u19325))) )).
% 12.54/12.80 cnf(matrix-7889, plain, ( ( hAPP(c_New__DSequence_Opos__union(_u19326, _u19327, _u19328), _u19329) = c_Lazy__Sequence_Oappend(_u19326, hAPP(_u19327, _u19329), hAPP(_u19328, _u19329))) )).
% 12.54/12.80 cnf(matrix-7890, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19330)), c_Lazy__Sequence_Olazy__sequence_OInsert(_u19330, _u19331, _u19332)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19330)), _u19332)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.54/12.80 cnf(matrix-7891, plain, ( ( c_Lazy__Sequence_Oappend(_u19333, c_Lazy__Sequence_Olazy__sequence_OInsert(_u19333, _u19334, _u19335), _u19336) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u19333, _u19334, c_Lazy__Sequence_Oappend(_u19333, _u19335, _u19336))) )).
% 12.54/12.80 cnf(matrix-7892, plain, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19342, _u19344, _u19346) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u19342, _u19348, _u19350)) | ( _u19344 = _u19348) )).
% 12.54/12.80 cnf(matrix-7893, plain, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19342, _u19344, _u19346) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u19342, _u19348, _u19350)) | ( _u19346 = _u19350) )).
% 12.54/12.80 cnf(matrix-7894, plain, ( ( _u19345 != _u19349) | ( _u19347 != _u19351) | ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19343, _u19345, _u19347) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u19343, _u19349, _u19351)) )).
% 12.54/12.80 cnf(matrix-7895, plain, ( ( c_New__Random__Sequence_Opos__union(_u19352, _u19353, _u19354, _u19355, _u19356, _u19357) = c_New__DSequence_Opos__union(_u19352, hAPP(hAPP(hAPP(_u19353, _u19355), _u19356), _u19357), hAPP(hAPP(hAPP(_u19354, _u19355), _u19356), _u19357))) )).
% 12.54/12.80 cnf(matrix-7896, plain, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19358, _u19359), c_Lazy__Sequence_Olazy__sequence_OInsert(_u19358, _u19360, _u19361)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u19359, _u19360)), hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19358, _u19359), _u19361))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.54/12.80 cnf(matrix-7897, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19364), _u19366)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19364, _u19366) = c_Lazy__Sequence_Oempty(tc_Int_Oint)) )).
% 12.54/12.80 cnf(matrix-7898, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19365), _u19367)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19365, _u19367) = c_Lazy__Sequence_Oappend(tc_Int_Oint, hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint), _u19367), c_Lazy__Sequence_Osmall__lazy_H(_u19365, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u19367), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.54/12.80 cnf(matrix-7899, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u19368), _u19369))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19368), _u19369)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19368, _u19369) = c_Lazy__Sequence_Oempty(tc_Int_Oint)) )).
% 12.54/12.80 cnf(matrix-7900, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u19368), _u19369))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19368), _u19369)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19368, _u19369) = c_Lazy__Sequence_Oappend(tc_Int_Oint, hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint), _u19369), c_Lazy__Sequence_Osmall__lazy_H(_u19368, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u19369), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.54/12.80 cnf(matrix-7901, plain, ( ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_Int_Oint, _u19370) = c_Lazy__Sequence_Osmall__lazy_H(_u19370, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u19370))) )).
% 12.54/12.80 cnf(matrix-7902, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u19373), _u19374))) | hBOOL(hAPP(hAPP(_u19375, _u19373), _u19374)) | hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), skolem518(_u19375, _u19374, _u19373)), skolem519(_u19375, _u19374, _u19373)))) )).
% 12.54/12.80 cnf(matrix-7903, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u19373), _u19374))) | hBOOL(hAPP(hAPP(_u19375, _u19373), _u19374)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem518(_u19375, _u19374, _u19373)), skolem519(_u19375, _u19374, _u19373))) | hBOOL(hAPP(hAPP(_u19375, skolem518(_u19375, _u19374, _u19373)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem519(_u19375, _u19374, _u19373)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.54/12.80 cnf(matrix-7904, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u19373), _u19374))) | hBOOL(hAPP(hAPP(_u19375, _u19373), _u19374)) | ~hBOOL(hAPP(hAPP(_u19375, skolem518(_u19375, _u19374, _u19373)), skolem519(_u19375, _u19374, _u19373))) )).
% 12.54/12.80 cnf(matrix-7905, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19376)), _u19377) = c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u19376, tc_Lazy__Sequence_Olazy__sequence(_u19376)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u19376, tc_Lazy__Sequence_Olazy__sequence(_u19376), tc_Nat_Onat), hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19376), tc_Nat_Onat), _u19376), hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u19376), tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_Lazy__Sequence_Olazy__sequence(_u19376)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19376)))), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(c_Lazy__Sequence_Oyield(_u19376), _u19377))) )).
% 12.54/12.80 cnf(matrix-7906, plain, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19378, _u19379), _u19380) = c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u19378, tc_Lazy__Sequence_Olazy__sequence(_u19378)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u19378, tc_Lazy__Sequence_Olazy__sequence(_u19378), tc_Nat_Onat), hAPP(hAPP(c_COMBC(_u19378, tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19378), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19378), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_fun(tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19378), tc_Nat_Onat)), _u19378), c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u19378), tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19378), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19378), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), _u19378), hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_Lazy__Sequence_Olazy__sequence(_u19378)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat))), hAPP(hAPP(c_COMBC(_u19378, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19378), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19378), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19378), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19378), tc_Nat_Onat)), _u19378), c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Lazy__Sequence_Olazy__sequence(_u19378))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), _u19378), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u19379))), c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19378, _u19379))))), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_Lazy__Sequence_Oyield(_u19378), _u19380))) )).
% 12.54/12.80 cnf(matrix-7907, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u19381, _u19382, _u19383, _u19384, _u19385) = c_Option_Ooption_Ooption__case(_u19381, tc_prod(_u19382, tc_Lazy__Sequence_Olazy__sequence(_u19382)), _u19383, hAPP(c_Product__Type_Oprod_Oprod__case(_u19382, tc_Lazy__Sequence_Olazy__sequence(_u19382), _u19381), _u19384), hAPP(c_Lazy__Sequence_Oyield(_u19382), _u19385))) )).
% 12.54/12.80 cnf(matrix-7908, plain, ( ( c_Lazy__Sequence_Oyieldn(_u19386) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(_u19386), _u19386, c_Lazy__Sequence_Oyield(_u19386))) )).
% 12.54/12.80 cnf(matrix-7909, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u19387, _u19388, _u19389, _u19390, c_Lazy__Sequence_Olazy__sequence_OInsert(_u19388, _u19391, _u19392)) = hAPP(hAPP(_u19390, _u19391), _u19392)) )).
% 12.54/12.80 cnf(matrix-7910, plain, ( c_Relation_Orefl__on(_u19396, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19394, tc_fun(_u19396, tc_HOL_Obool)), _u19395), _u19397), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19394, tc_fun(tc_prod(_u19396, _u19396), tc_HOL_Obool)), _u19395), _u19398)) | hBOOL(hAPP(hAPP(c_member(_u19394), skolem520(_u19398, _u19397, _u19396, _u19395, _u19394)), _u19395)) )).
% 12.54/12.80 cnf(matrix-7911, plain, ( c_Relation_Orefl__on(_u19396, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19394, tc_fun(_u19396, tc_HOL_Obool)), _u19395), _u19397), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19394, tc_fun(tc_prod(_u19396, _u19396), tc_HOL_Obool)), _u19395), _u19398)) | ~c_Relation_Orefl__on(_u19396, hAPP(_u19397, skolem520(_u19398, _u19397, _u19396, _u19395, _u19394)), hAPP(_u19398, skolem520(_u19398, _u19397, _u19396, _u19395, _u19394))) )).
% 12.54/12.80 cnf(matrix-7912, plain, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19402), _u19404), _u19406)) | hBOOL(hAPP(hAPP(c_member(_u19402), _u19406), hAPP(c_List_Oset(_u19402), _u19404))) )).
% 12.54/12.80 cnf(matrix-7913, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19403), _u19407), hAPP(c_List_Oset(_u19403), _u19405))) | hBOOL(hAPP(hAPP(c_List_Omember(_u19403), _u19405), _u19407)) )).
% 12.54/12.80 cnf(matrix-7914, plain, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19408), c_List_Olist_ONil(_u19408)), _u19409)) )).
% 12.54/12.80 cnf(matrix-7915, plain, ( ( c_List_Omember(_u19410) = c_List_Oset(_u19410)) )).
% 12.54/12.80 cnf(matrix-7916, plain, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19415), hAPP(hAPP(c_List_Olist_OCons(_u19415), _u19417), _u19419)), _u19421)) | ( _u19417 = _u19421) | hBOOL(hAPP(hAPP(c_List_Omember(_u19415), _u19419), _u19421)) )).
% 12.54/12.80 cnf(matrix-7917, plain, ( hBOOL(hAPP(hAPP(c_List_Omember(_u19416), hAPP(hAPP(c_List_Olist_OCons(_u19416), _u19418), _u19420)), _u19422)) | ( _u19418 != _u19422) )).
% 12.54/12.80 cnf(matrix-7918, plain, ( hBOOL(hAPP(hAPP(c_List_Omember(_u19416), hAPP(hAPP(c_List_Olist_OCons(_u19416), _u19418), _u19420)), _u19422)) | ~hBOOL(hAPP(hAPP(c_List_Omember(_u19416), _u19420), _u19422)) )).
% 12.54/12.80 cnf(matrix-7919, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19426), _u19428), hAPP(c_List_Oset(_u19426), _u19430))) | hBOOL(hAPP(hAPP(c_List_Omember(_u19426), _u19430), _u19428)) )).
% 12.54/12.80 cnf(matrix-7920, plain, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19427), _u19431), _u19429)) | hBOOL(hAPP(hAPP(c_member(_u19427), _u19429), hAPP(c_List_Oset(_u19427), _u19431))) )).
% 12.54/12.80 cnf(matrix-7921, plain, ( ~c_List_Olist__ex1(_u19439, _u19441, _u19443) | hBOOL(hAPP(hAPP(c_member(_u19439), skolem521(_u19443, _u19441, _u19439)), hAPP(c_List_Oset(_u19439), _u19443))) )).
% 12.54/12.80 cnf(matrix-7922, plain, ( ~c_List_Olist__ex1(_u19439, _u19441, _u19443) | hBOOL(hAPP(_u19441, skolem521(_u19443, _u19441, _u19439))) )).
% 12.54/12.80 cnf(matrix-7923, plain, ( ~c_List_Olist__ex1(_u19439, _u19441, _u19443) | ~hBOOL(hAPP(hAPP(c_member(_u19439), _u19432), hAPP(c_List_Oset(_u19439), _u19443))) | ~hBOOL(hAPP(_u19441, _u19432)) | ( _u19432 = skolem521(_u19443, _u19441, _u19439)) )).
% 12.54/12.80 cnf(matrix-7924, plain, ( c_List_Olist__ex1(_u19440, _u19442, _u19444) | ~hBOOL(hAPP(hAPP(c_member(_u19440), _u19435), hAPP(c_List_Oset(_u19440), _u19444))) | ~hBOOL(hAPP(_u19442, _u19435)) | hBOOL(hAPP(hAPP(c_member(_u19440), skolem522(_u19444, _u19442, _u19440, _u19435)), hAPP(c_List_Oset(_u19440), _u19444))) )).
% 12.54/12.80 cnf(matrix-7925, plain, ( c_List_Olist__ex1(_u19440, _u19442, _u19444) | ~hBOOL(hAPP(hAPP(c_member(_u19440), _u19435), hAPP(c_List_Oset(_u19440), _u19444))) | ~hBOOL(hAPP(_u19442, _u19435)) | hBOOL(hAPP(_u19442, skolem522(_u19444, _u19442, _u19440, _u19435))) )).
% 12.54/12.80 cnf(matrix-7926, plain, ( c_List_Olist__ex1(_u19440, _u19442, _u19444) | ~hBOOL(hAPP(hAPP(c_member(_u19440), _u19435), hAPP(c_List_Oset(_u19440), _u19444))) | ~hBOOL(hAPP(_u19442, _u19435)) | ( skolem522(_u19444, _u19442, _u19440, _u19435) != _u19435) )).
% 12.54/12.80 cnf(matrix-7927, plain, ( ~class_Groups_Ocomm__monoid__add(_u19449) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19450, tc_HOL_Obool)), _u19451)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19450, tc_HOL_Obool)), skolem523(_u19452, _u19451, _u19450, _u19449)), _u19451)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19450, tc_HOL_Obool), _u19451)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19450, tc_HOL_Obool), _u19449), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452)), _u19451)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19450, tc_HOL_Obool)), skolem524(_u19452, _u19451, _u19450, _u19449)), _u19451)) )).
% 12.54/12.80 cnf(matrix-7928, plain, ( ~class_Groups_Ocomm__monoid__add(_u19449) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19450, tc_HOL_Obool)), _u19451)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19450, tc_HOL_Obool)), skolem523(_u19452, _u19451, _u19450, _u19449)), _u19451)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19450, tc_HOL_Obool), _u19451)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19450, tc_HOL_Obool), _u19449), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452)), _u19451)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19450, tc_HOL_Obool)), skolem525(_u19452, _u19451, _u19450, _u19449)), _u19451)) )).
% 12.54/12.80 cnf(matrix-7929, plain, ( ~class_Groups_Ocomm__monoid__add(_u19449) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19450, tc_HOL_Obool)), _u19451)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19450, tc_HOL_Obool)), skolem523(_u19452, _u19451, _u19450, _u19449)), _u19451)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19450, tc_HOL_Obool), _u19451)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19450, tc_HOL_Obool), _u19449), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452)), _u19451)) | ( skolem524(_u19452, _u19451, _u19450, _u19449) != skolem525(_u19452, _u19451, _u19450, _u19449)) )).
% 12.54/12.80 cnf(matrix-7930, plain, ( ~class_Groups_Ocomm__monoid__add(_u19449) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19450, tc_HOL_Obool)), _u19451)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19450, tc_HOL_Obool)), skolem523(_u19452, _u19451, _u19450, _u19449)), _u19451)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19450, tc_HOL_Obool), _u19451)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19450, tc_HOL_Obool), _u19449), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452)), _u19451)) | hBOOL(hAPP(hAPP(c_member(_u19450), skolem526(_u19452, _u19451, _u19450, _u19449)), skolem524(_u19452, _u19451, _u19450, _u19449))) )).
% 12.54/12.80 cnf(matrix-7931, plain, ( ~class_Groups_Ocomm__monoid__add(_u19449) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19450, tc_HOL_Obool)), _u19451)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19450, tc_HOL_Obool)), skolem523(_u19452, _u19451, _u19450, _u19449)), _u19451)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19450, tc_HOL_Obool), _u19451)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19450, tc_HOL_Obool), _u19449), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452)), _u19451)) | hBOOL(hAPP(hAPP(c_member(_u19450), skolem526(_u19452, _u19451, _u19450, _u19449)), skolem525(_u19452, _u19451, _u19450, _u19449))) )).
% 12.54/12.80 cnf(matrix-7932, plain, ( ~class_Groups_Ocomm__monoid__add(_u19449) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19450, tc_HOL_Obool)), _u19451)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19450, tc_HOL_Obool)), skolem523(_u19452, _u19451, _u19450, _u19449)), _u19451)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19450, tc_HOL_Obool), _u19451)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19450, tc_HOL_Obool), _u19449), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452)), _u19451)) | ( hAPP(_u19452, skolem526(_u19452, _u19451, _u19450, _u19449)) != c_Groups_Ozero__class_Ozero(_u19449)) )).
% 12.54/12.80 cnf(matrix-7933, plain, ( ~class_Groups_Ocomm__monoid__add(_u19449) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19450, tc_HOL_Obool)), _u19451)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19450), skolem523(_u19452, _u19451, _u19450, _u19449))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19450, tc_HOL_Obool), _u19451)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19450, tc_HOL_Obool), _u19449), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452)), _u19451)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19450, tc_HOL_Obool)), skolem524(_u19452, _u19451, _u19450, _u19449)), _u19451)) )).
% 12.54/12.80 cnf(matrix-7934, plain, ( ~class_Groups_Ocomm__monoid__add(_u19449) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19450, tc_HOL_Obool)), _u19451)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19450), skolem523(_u19452, _u19451, _u19450, _u19449))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19450, tc_HOL_Obool), _u19451)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19450, tc_HOL_Obool), _u19449), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452)), _u19451)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19450, tc_HOL_Obool)), skolem525(_u19452, _u19451, _u19450, _u19449)), _u19451)) )).
% 12.54/12.80 cnf(matrix-7935, plain, ( ~class_Groups_Ocomm__monoid__add(_u19449) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19450, tc_HOL_Obool)), _u19451)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19450), skolem523(_u19452, _u19451, _u19450, _u19449))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19450, tc_HOL_Obool), _u19451)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19450, tc_HOL_Obool), _u19449), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452)), _u19451)) | ( skolem524(_u19452, _u19451, _u19450, _u19449) != skolem525(_u19452, _u19451, _u19450, _u19449)) )).
% 12.54/12.80 cnf(matrix-7936, plain, ( ~class_Groups_Ocomm__monoid__add(_u19449) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19450, tc_HOL_Obool)), _u19451)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19450), skolem523(_u19452, _u19451, _u19450, _u19449))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19450, tc_HOL_Obool), _u19451)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19450, tc_HOL_Obool), _u19449), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452)), _u19451)) | hBOOL(hAPP(hAPP(c_member(_u19450), skolem526(_u19452, _u19451, _u19450, _u19449)), skolem524(_u19452, _u19451, _u19450, _u19449))) )).
% 12.54/12.80 cnf(matrix-7937, plain, ( ~class_Groups_Ocomm__monoid__add(_u19449) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19450, tc_HOL_Obool)), _u19451)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19450), skolem523(_u19452, _u19451, _u19450, _u19449))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19450, tc_HOL_Obool), _u19451)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19450, tc_HOL_Obool), _u19449), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452)), _u19451)) | hBOOL(hAPP(hAPP(c_member(_u19450), skolem526(_u19452, _u19451, _u19450, _u19449)), skolem525(_u19452, _u19451, _u19450, _u19449))) )).
% 12.54/12.80 cnf(matrix-7938, plain, ( ~class_Groups_Ocomm__monoid__add(_u19449) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19450, tc_HOL_Obool)), _u19451)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19450), skolem523(_u19452, _u19451, _u19450, _u19449))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19450, tc_HOL_Obool), _u19451)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19450, tc_HOL_Obool), _u19449), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19450, _u19449), _u19452)), _u19451)) | ( hAPP(_u19452, skolem526(_u19452, _u19451, _u19450, _u19449)) != c_Groups_Ozero__class_Ozero(_u19449)) )).
% 12.54/12.80 cnf(matrix-7939, plain, ( ( c_FunDef_OTHE__default(_u19462, _u19464, _u19460) = c_HOL_OThe(_u19462, _u19460)) | ~hBOOL(hAPP(_u19460, _u19454)) | hBOOL(hAPP(_u19460, skolem527(_u19464, _u19462, _u19460, _u19454))) )).
% 12.54/12.80 cnf(matrix-7940, plain, ( ( c_FunDef_OTHE__default(_u19462, _u19464, _u19460) = c_HOL_OThe(_u19462, _u19460)) | ~hBOOL(hAPP(_u19460, _u19454)) | ( skolem527(_u19464, _u19462, _u19460, _u19454) != _u19454) )).
% 12.54/12.80 cnf(matrix-7941, plain, ( ( c_FunDef_OTHE__default(_u19463, _u19465, _u19461) = _u19465) | hBOOL(hAPP(_u19461, skolem528(_u19465, _u19463, _u19461))) )).
% 12.54/12.80 cnf(matrix-7942, plain, ( ( c_FunDef_OTHE__default(_u19463, _u19465, _u19461) = _u19465) | ~hBOOL(hAPP(_u19461, _u19455)) | ( _u19455 = skolem528(_u19465, _u19463, _u19461)) )).
% 12.54/12.80 cnf(matrix-7943, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19467, tc_fun(_u19472, tc_fun(_u19473, tc_HOL_Obool))), _u19468), _u19469), _u19470), _u19471)) | hBOOL(hAPP(hAPP(c_member(_u19467), skolem529(_u19473, _u19472, _u19471, _u19470, _u19469, _u19468, _u19467)), _u19468)) )).
% 12.54/12.80 cnf(matrix-7944, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19467, tc_fun(_u19472, tc_fun(_u19473, tc_HOL_Obool))), _u19468), _u19469), _u19470), _u19471)) | ~hBOOL(hAPP(hAPP(hAPP(_u19469, skolem529(_u19473, _u19472, _u19471, _u19470, _u19469, _u19468, _u19467)), _u19470), _u19471)) )).
% 12.54/12.80 cnf(matrix-7945, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19475, tc_fun(_u19476, tc_fun(_u19477, tc_HOL_Obool))), _u19478), _u19479), _u19480), _u19481)) | hBOOL(hAPP(hAPP(c_member(_u19475), skolem530(_u19481, _u19480, _u19479, _u19478, _u19477, _u19476, _u19475)), _u19478)) )).
% 12.54/12.80 cnf(matrix-7946, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19475, tc_fun(_u19476, tc_fun(_u19477, tc_HOL_Obool))), _u19478), _u19479), _u19480), _u19481)) | hBOOL(hAPP(hAPP(hAPP(_u19479, skolem530(_u19481, _u19480, _u19479, _u19478, _u19477, _u19476, _u19475)), _u19480), _u19481)) )).
% 12.54/12.80 cnf(matrix-7947, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u19484)), _u19485)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19484)), _u19482), _u19485)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19484)), _u19482)), skolem531(_u19485, _u19484))) )).
% 12.54/12.80 cnf(matrix-7948, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19486)), c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19486)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.80 cnf(matrix-7949, plain, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19487, _u19488), c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19487)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.80 cnf(matrix-7950, plain, ( ( c_Lazy__Sequence_Oappend(_u19489, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19489), _u19490) = _u19490) )).
% 12.54/12.80 cnf(matrix-7951, plain, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19491, _u19492, _u19493) != c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19491)) )).
% 12.54/12.80 cnf(matrix-7952, plain, ( ( c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19494) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u19494, _u19495, _u19496)) )).
% 12.54/12.80 cnf(matrix-7953, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u19497, _u19498, _u19499, _u19500, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19498)) = _u19499) )).
% 12.54/12.80 cnf(matrix-7954, plain, ( ~c_List_Olist__all(tc_Int_Oint, _u19504, c_List_Oupto(_u19506, _u19508)) | c_List_Oall__interval__int(_u19504, _u19506, _u19508) )).
% 12.54/12.80 cnf(matrix-7955, plain, ( ~c_List_Oall__interval__int(_u19505, _u19507, _u19509) | c_List_Olist__all(tc_Int_Oint, _u19505, c_List_Oupto(_u19507, _u19509)) )).
% 12.54/12.80 cnf(matrix-7956, plain, ( ~c_List_Olist__ex(tc_Int_Oint, _u19513, c_List_Oupto(_u19515, _u19517)) | ~c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint, c_fNot), _u19513), _u19515, _u19517) )).
% 12.54/12.80 cnf(matrix-7957, plain, ( c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint, c_fNot), _u19514), _u19516, _u19518) | c_List_Olist__ex(tc_Int_Oint, _u19514, c_List_Oupto(_u19516, _u19518)) )).
% 12.54/12.80 cnf(matrix-7958, plain, ( ~c_List_Oall__interval__int(_u19524, _u19526, _u19528) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u19519), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u19526, _u19528))) | hBOOL(hAPP(_u19524, _u19519)) )).
% 12.54/12.80 cnf(matrix-7959, plain, ( c_List_Oall__interval__int(_u19525, _u19527, _u19529) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem532(_u19529, _u19527, _u19525)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u19527, _u19529))) )).
% 12.54/12.80 cnf(matrix-7960, plain, ( c_List_Oall__interval__int(_u19525, _u19527, _u19529) | ~hBOOL(hAPP(_u19525, skolem532(_u19529, _u19527, _u19525))) )).
% 12.54/12.80 cnf(matrix-7961, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u19530, _u19531, _u19532, c_Code__Numeral_OSuc__code__numeral(_u19533)) = hAPP(hAPP(_u19532, _u19533), c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u19530, _u19531, _u19532, _u19533))) )).
% 12.54/12.80 cnf(matrix-7962, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u19538), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u19540, _u19542, _u19538, _u19544) = 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(_u19540)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u19540))) )).
% 12.54/12.80 cnf(matrix-7963, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u19539), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u19541, _u19543, _u19539, _u19545) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u19541, 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(_u19541)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(_u19543, _u19545)), 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(_u19541)))), 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(_u19541)))), 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(_u19541)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_prod(_u19541, 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(_u19541)))), 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(_u19541)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random__Sequence_ORandom(_u19541, _u19543, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19539), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u19545))), 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(_u19541)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19541))))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19541)))), 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(_u19541)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)))), tc_prod(_u19541, 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(_u19541)))), 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(_u19541)))), 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(_u19541))))), c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19541)))), 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(_u19541)))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19541)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19541))))), tc_prod(_u19541, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Ounion(_u19541)), hAPP(hAPP(c_COMBB(_u19541, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19541)))), tc_prod(_u19541, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Osingle(_u19541)), c_Product__Type_Ofst(_u19541, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm)))))))) )).
% 12.54/12.80 cnf(matrix-7964, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u19546, _u19547, _u19548, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u19547) )).
% 12.54/12.80 cnf(matrix-7965, plain, ( ( c_Random__Sequence_Oempty(_u19549, _u19550, _u19551) = 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(_u19549)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u19549))) )).
% 12.54/12.80 cnf(matrix-7966, plain, ( ( hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(_u19552), _u19553), _u19554), _u19555) = 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(_u19552)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_DSequence_Osingle(_u19552), _u19553))) )).
% 12.54/12.80 cnf(matrix-7967, plain, ( ( c_Random__Sequence_Omap(_u19556, _u19557, _u19558, _u19559) = c_Random__Sequence_Obind(_u19556, _u19557, _u19559, hAPP(c_Fun_Ocomp(_u19557, 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(_u19557)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))))), _u19556, c_Random__Sequence_Osingle(_u19557)), _u19558))) )).
% 12.54/12.80 cnf(matrix-7968, plain, ( ~hBOOL(hAPP(hAPP(_u19562, hAPP(c_Product__Type_Osnd(_u19563, _u19564), _u19565)), hAPP(c_Product__Type_Ofst(_u19563, _u19564), _u19565))) | hBOOL(hAPP(_u19566, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u19563, _u19564, _u19568), _u19567), _u19565))) | hBOOL(hAPP(hAPP(_u19562, skolem534(_u19568, _u19567, _u19566, _u19565, _u19564, _u19563, _u19562)), skolem533(_u19568, _u19567, _u19566, _u19565, _u19564, _u19563, _u19562))) )).
% 12.54/12.80 cnf(matrix-7969, plain, ( ~hBOOL(hAPP(hAPP(_u19562, hAPP(c_Product__Type_Osnd(_u19563, _u19564), _u19565)), hAPP(c_Product__Type_Ofst(_u19563, _u19564), _u19565))) | hBOOL(hAPP(_u19566, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u19563, _u19564, _u19568), _u19567), _u19565))) | ~hBOOL(hAPP(_u19566, hAPP(hAPP(_u19567, skolem533(_u19568, _u19567, _u19566, _u19565, _u19564, _u19563, _u19562)), skolem534(_u19568, _u19567, _u19566, _u19565, _u19564, _u19563, _u19562)))) )).
% 12.54/12.80 cnf(matrix-7970, plain, ( ( hAPP(c_Relation_OImage(_u19569, _u19570, hAPP(c_Set_OCollect(tc_prod(_u19569, _u19570)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19569, _u19570, tc_HOL_Obool), _u19571))), _u19572) = hAPP(c_Set_OCollect(_u19570), hAPP(hAPP(c_COMBB(tc_fun(_u19569, tc_HOL_Obool), tc_HOL_Obool, _u19570), c_HOL_OEx(_u19569)), hAPP(hAPP(c_COMBB(tc_fun(_u19569, tc_HOL_Obool), tc_fun(_u19569, tc_HOL_Obool), _u19570), hAPP(c_COMBS(_u19569, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19569), c_fconj), hAPP(hAPP(c_COMBC(_u19569, tc_fun(_u19569, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19569)), _u19572)))), hAPP(c_COMBC(_u19569, _u19570, tc_HOL_Obool), _u19571))))) )).
% 12.54/12.80 cnf(matrix-7971, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19573), tc_List_Olist(_u19573))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19573), tc_List_Olist(_u19573)), _u19574), _u19575)), c_List_Olexord(_u19573, _u19576))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19573), tc_List_Olist(_u19573))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19573), tc_List_Olist(_u19573)), _u19575), _u19577)), c_List_Olexord(_u19573, _u19576))) | ~c_Relation_Otrans(_u19573, _u19576) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19573), tc_List_Olist(_u19573))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19573), tc_List_Olist(_u19573)), _u19574), _u19577)), c_List_Olexord(_u19573, _u19576))) )).
% 12.54/12.80 cnf(matrix-7972, plain, ( c_Relation_Otrans(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 12.54/12.80 cnf(matrix-7973, plain, ( ~c_Relation_Otrans(_u19578, _u19579) | ~c_Relation_Otrans(_u19580, _u19581) | c_Relation_Otrans(tc_prod(_u19578, _u19580), c_Wellfounded_Olex__prod(_u19578, _u19580, _u19579, _u19581)) )).
% 12.54/12.80 cnf(matrix-7974, plain, ( ~c_Relation_Otrans(_u19590, _u19592) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19590, _u19590)), hAPP(hAPP(c_Product__Type_OPair(_u19590, _u19590), _u19584), _u19583)), _u19592)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19590, _u19590)), hAPP(hAPP(c_Product__Type_OPair(_u19590, _u19590), _u19583), _u19582)), _u19592)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19590, _u19590)), hAPP(hAPP(c_Product__Type_OPair(_u19590, _u19590), _u19584), _u19582)), _u19592)) )).
% 12.54/12.80 cnf(matrix-7975, plain, ( c_Relation_Otrans(_u19591, _u19593) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19591, _u19591)), hAPP(hAPP(c_Product__Type_OPair(_u19591, _u19591), skolem535(_u19593, _u19591)), skolem536(_u19593, _u19591))), _u19593)) )).
% 12.54/12.80 cnf(matrix-7976, plain, ( c_Relation_Otrans(_u19591, _u19593) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19591, _u19591)), hAPP(hAPP(c_Product__Type_OPair(_u19591, _u19591), skolem536(_u19593, _u19591)), skolem537(_u19593, _u19591))), _u19593)) )).
% 12.54/12.80 cnf(matrix-7977, plain, ( c_Relation_Otrans(_u19591, _u19593) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19591, _u19591)), hAPP(hAPP(c_Product__Type_OPair(_u19591, _u19591), skolem535(_u19593, _u19591)), skolem537(_u19593, _u19591))), _u19593)) )).
% 12.54/12.80 cnf(matrix-7978, plain, ( ~c_Relation_Otrans(_u19594, _u19595) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19594, _u19594)), hAPP(hAPP(c_Product__Type_OPair(_u19594, _u19594), _u19596), _u19597)), _u19595)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19594, _u19594)), hAPP(hAPP(c_Product__Type_OPair(_u19594, _u19594), _u19597), _u19598)), _u19595)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19594, _u19594)), hAPP(hAPP(c_Product__Type_OPair(_u19594, _u19594), _u19596), _u19598)), _u19595)) )).
% 12.54/12.80 cnf(matrix-7979, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19599, tc_HOL_Obool), _u19600) = hAPP(c_Set_OCollect(_u19599), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19599, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u19599), c_HOL_OEx(tc_fun(_u19599, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19599, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u19599, tc_HOL_Obool), tc_HOL_Obool), _u19599), hAPP(c_COMBS(tc_fun(_u19599, 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(_u19599, tc_HOL_Obool)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19599, tc_HOL_Obool), tc_fun(tc_fun(_u19599, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19599, tc_HOL_Obool))), _u19600)))), c_member(_u19599))))) )).
% 12.54/12.80 cnf(matrix-7980, plain, ( ~c_Relation_Otrans(_u19601, _u19602) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19601, _u19601), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u19601, _u19601, _u19601), _u19602), _u19602)), _u19602)) )).
% 12.54/12.80 cnf(matrix-7981, plain, ( hBOOL(hAPP(_u19611, skolem538(_u19611))) | ~hBOOL(hAPP(hAPP(c_member(_u19609), _u19603), c_Orderings_Otop__class_Otop(tc_fun(_u19609, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u19611, _u19603)) )).
% 12.54/12.80 cnf(matrix-7982, plain, ( ~hBOOL(hAPP(_u19612, _u19605)) | hBOOL(hAPP(hAPP(c_member(_u19610), skolem539(_u19612, _u19610)), c_Orderings_Otop__class_Otop(tc_fun(_u19610, tc_HOL_Obool)))) )).
% 12.54/12.80 cnf(matrix-7983, plain, ( ~hBOOL(hAPP(_u19612, _u19605)) | hBOOL(hAPP(_u19612, skolem539(_u19612, _u19610))) )).
% 12.54/12.80 cnf(matrix-7984, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19615), _u19616)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19617), hAPP(c_Set_OCollect(_u19617), hAPP(hAPP(c_COMBB(tc_fun(_u19615, tc_HOL_Obool), tc_HOL_Obool, _u19617), c_HOL_OEx(_u19615)), hAPP(hAPP(c_COMBB(tc_fun(_u19615, tc_HOL_Obool), tc_fun(_u19615, tc_HOL_Obool), _u19617), hAPP(c_COMBS(_u19615, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19615), c_fconj), hAPP(hAPP(c_COMBC(_u19615, tc_fun(_u19615, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19615)), _u19616)))), _u19618))))) | ~hBOOL(hAPP(hAPP(c_member(_u19615), _u19613), _u19616)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19617), hAPP(c_Set_OCollect(_u19617), hAPP(hAPP(c_COMBC(_u19617, _u19615, tc_HOL_Obool), _u19618), _u19613)))) )).
% 12.54/12.80 cnf(matrix-7985, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19615), _u19616)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19617), hAPP(c_Set_OCollect(_u19617), hAPP(hAPP(c_COMBB(tc_fun(_u19615, tc_HOL_Obool), tc_HOL_Obool, _u19617), c_HOL_OEx(_u19615)), hAPP(hAPP(c_COMBB(tc_fun(_u19615, tc_HOL_Obool), tc_fun(_u19615, tc_HOL_Obool), _u19617), hAPP(c_COMBS(_u19615, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19615), c_fconj), hAPP(hAPP(c_COMBC(_u19615, tc_fun(_u19615, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19615)), _u19616)))), _u19618))))) | hBOOL(hAPP(hAPP(c_member(_u19615), skolem540(_u19618, _u19617, _u19616, _u19615)), _u19616)) )).
% 12.54/12.80 cnf(matrix-7986, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19615), _u19616)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19617), hAPP(c_Set_OCollect(_u19617), hAPP(hAPP(c_COMBB(tc_fun(_u19615, tc_HOL_Obool), tc_HOL_Obool, _u19617), c_HOL_OEx(_u19615)), hAPP(hAPP(c_COMBB(tc_fun(_u19615, tc_HOL_Obool), tc_fun(_u19615, tc_HOL_Obool), _u19617), hAPP(c_COMBS(_u19615, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19615), c_fconj), hAPP(hAPP(c_COMBC(_u19615, tc_fun(_u19615, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19615)), _u19616)))), _u19618))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19617), hAPP(c_Set_OCollect(_u19617), hAPP(hAPP(c_COMBC(_u19617, _u19615, tc_HOL_Obool), _u19618), skolem540(_u19618, _u19617, _u19616, _u19615))))) )).
% 12.54/12.80 cnf(matrix-7987, plain, ( ~c_Relation_Otrans(_u19621, hAPP(c_Relation_Oconverse(_u19621, _u19621), _u19623)) | c_Relation_Otrans(_u19621, _u19623) )).
% 12.54/12.80 cnf(matrix-7988, plain, ( ~c_Relation_Otrans(_u19622, _u19624) | c_Relation_Otrans(_u19622, hAPP(c_Relation_Oconverse(_u19622, _u19622), _u19624)) )).
% 12.54/12.80 cnf(matrix-7989, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19626), _u19625), c_Orderings_Obot__class_Obot(tc_fun(_u19626, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u19627, _u19625)) )).
% 12.54/12.80 cnf(matrix-7990, plain, ( ~c_Relation_Otrans(_u19628, _u19629) | c_Relation_Otrans(tc_List_Olist(_u19628), c_List_Olistrel(_u19628, _u19629)) )).
% 12.54/12.80 cnf(matrix-7991, plain, ( ~c_Relation_Otrans(_u19630, _u19631) | c_Relation_Otrans(tc_List_Olist(_u19630), c_List_Olexord(_u19630, _u19631)) )).
% 12.54/12.80 cnf(matrix-7992, plain, ( c_Relation_Otrans(tc_fun(_u19632, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u19632)) )).
% 12.54/12.80 cnf(matrix-7993, plain, ( c_Relation_Otrans(_u19633, c_Relation_OId__on(_u19633, _u19634)) )).
% 12.54/12.80 cnf(matrix-7994, plain, ( c_Relation_Otrans(_u19635, c_Transitive__Closure_Otrancl(_u19635, _u19636)) )).
% 12.54/12.80 cnf(matrix-7995, plain, ( ~c_Relation_Otrans(_u19637, _u19638) | ( c_Transitive__Closure_Otrancl(_u19637, _u19638) = _u19638) )).
% 12.54/12.80 cnf(matrix-7996, plain, ( c_Relation_Otrans(_u19639, c_Relation_OId(_u19639)) )).
% 12.54/12.80 cnf(matrix-7997, plain, ( c_Relation_Otrans(_u19640, c_Transitive__Closure_Ortrancl(_u19640, _u19641)) )).
% 12.54/12.80 cnf(matrix-7998, plain, ( ~c_Relation_Otrans(_u19642, _u19643) | ~c_Relation_Otrans(_u19642, _u19644) | c_Relation_Otrans(_u19642, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u19642, _u19642), tc_HOL_Obool)), _u19643), _u19644)) )).
% 12.54/12.80 cnf(matrix-7999, plain, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19645, tc_HOL_Obool) = c_Set_OBex(_u19645)) )).
% 12.54/12.80 cnf(matrix-8000, plain, ( ~c_Relation_Otrans(_u19646, _u19647) | c_Relation_Otrans(_u19646, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19646, _u19646), tc_HOL_Obool)), _u19647), c_Relation_OId(_u19646))) )).
% 12.54/12.80 cnf(matrix-8001, plain, ( ~c_Relation_Otrans(_u19648, _u19649) | c_Relation_Otrans(_u19650, hAPP(hAPP(c_Relation_Oinv__image(_u19648, _u19650), _u19649), _u19651)) )).
% 12.54/12.80 cnf(matrix-8002, plain, ( ~c_List_Olist__ex(_u19657, _u19659, _u19661) | hBOOL(hAPP(hAPP(c_member(_u19657), skolem541(_u19661, _u19659, _u19657)), hAPP(c_List_Oset(_u19657), _u19661))) )).
% 12.54/12.80 cnf(matrix-8003, plain, ( ~c_List_Olist__ex(_u19657, _u19659, _u19661) | hBOOL(hAPP(_u19659, skolem541(_u19661, _u19659, _u19657))) )).
% 12.54/12.80 cnf(matrix-8004, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19658), _u19653), hAPP(c_List_Oset(_u19658), _u19662))) | ~hBOOL(hAPP(_u19660, _u19653)) | c_List_Olist__ex(_u19658, _u19660, _u19662) )).
% 12.54/12.80 cnf(matrix-8005, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19668), _u19663), hAPP(c_List_Oset(_u19668), _u19670))) | ~hBOOL(hAPP(_u19672, _u19663)) | c_List_Olist__ex(_u19668, _u19672, _u19670) )).
% 12.54/12.80 cnf(matrix-8006, plain, ( ~c_List_Olist__ex(_u19669, _u19673, _u19671) | hBOOL(hAPP(hAPP(c_member(_u19669), skolem542(_u19673, _u19671, _u19669)), hAPP(c_List_Oset(_u19669), _u19671))) )).
% 12.54/12.80 cnf(matrix-8007, plain, ( ~c_List_Olist__ex(_u19669, _u19673, _u19671) | hBOOL(hAPP(_u19673, skolem542(_u19673, _u19671, _u19669))) )).
% 12.54/12.80 cnf(matrix-8008, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19674, tc_fun(_u19675, tc_HOL_Obool)), _u19676), _u19677) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19675, tc_HOL_Obool), hAPP(c_Set_OCollect(tc_fun(_u19675, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19674, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u19675, tc_HOL_Obool)), c_HOL_OEx(_u19674)), hAPP(hAPP(c_COMBB(tc_fun(_u19674, tc_HOL_Obool), tc_fun(_u19674, tc_HOL_Obool), tc_fun(_u19675, tc_HOL_Obool)), hAPP(c_COMBS(_u19674, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19674), c_fconj), hAPP(hAPP(c_COMBC(_u19674, tc_fun(_u19674, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19674)), _u19676)))), hAPP(hAPP(c_COMBC(tc_fun(_u19675, tc_HOL_Obool), tc_fun(_u19674, tc_fun(_u19675, tc_HOL_Obool)), tc_fun(_u19674, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19675, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u19674, tc_fun(_u19675, tc_HOL_Obool)), tc_fun(_u19674, tc_HOL_Obool)), tc_fun(_u19675, tc_HOL_Obool)), c_COMBB(tc_fun(_u19675, tc_HOL_Obool), tc_HOL_Obool, _u19674)), c_fequal)), _u19677)))))) )).
% 12.54/12.80 cnf(matrix-8009, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19678, tc_fun(_u19679, tc_HOL_Obool)), _u19680), _u19681) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19679, tc_HOL_Obool), hAPP(c_Set_OCollect(tc_fun(_u19679, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19678, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u19679, tc_HOL_Obool)), c_HOL_OEx(_u19678)), hAPP(hAPP(c_COMBB(tc_fun(_u19678, tc_HOL_Obool), tc_fun(_u19678, tc_HOL_Obool), tc_fun(_u19679, tc_HOL_Obool)), hAPP(c_COMBS(_u19678, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19678), c_fconj), hAPP(hAPP(c_COMBC(_u19678, tc_fun(_u19678, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19678)), _u19680)))), hAPP(hAPP(c_COMBC(tc_fun(_u19679, tc_HOL_Obool), tc_fun(_u19678, tc_fun(_u19679, tc_HOL_Obool)), tc_fun(_u19678, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19679, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u19678, tc_fun(_u19679, tc_HOL_Obool)), tc_fun(_u19678, tc_HOL_Obool)), tc_fun(_u19679, tc_HOL_Obool)), c_COMBB(tc_fun(_u19679, tc_HOL_Obool), tc_HOL_Obool, _u19678)), c_fequal)), _u19681)))))) )).
% 12.54/12.80 cnf(matrix-8010, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19682) | ( hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19683, _u19682), _u19684), _u19685) = c_Complete__Lattice_OSup__class_OSup(_u19682, hAPP(c_Set_OCollect(_u19682), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19683, _u19682), tc_HOL_Obool), tc_HOL_Obool, _u19682), c_HOL_OEx(tc_fun(_u19683, _u19682))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19683, _u19682), tc_HOL_Obool), tc_fun(tc_fun(_u19683, _u19682), tc_HOL_Obool), _u19682), hAPP(c_COMBS(tc_fun(_u19683, _u19682), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19683, _u19682)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19683, _u19682), tc_fun(tc_fun(_u19683, _u19682), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19683, _u19682))), _u19684)))), hAPP(hAPP(c_COMBC(_u19682, tc_fun(tc_fun(_u19683, _u19682), _u19682), tc_fun(tc_fun(_u19683, _u19682), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19682, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19683, _u19682), _u19682), tc_fun(tc_fun(_u19683, _u19682), tc_HOL_Obool)), _u19682), c_COMBB(_u19682, tc_HOL_Obool, tc_fun(_u19683, _u19682))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19683, _u19682), _u19683, _u19682), c_COMBI(tc_fun(_u19683, _u19682))), _u19685))))))) )).
% 12.54/12.80 cnf(matrix-8011, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19686) | ( hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19687, _u19686), _u19688), _u19689) = c_Complete__Lattice_OSup__class_OSup(_u19686, hAPP(c_Set_OCollect(_u19686), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19687, _u19686), tc_HOL_Obool), tc_HOL_Obool, _u19686), c_HOL_OEx(tc_fun(_u19687, _u19686))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19687, _u19686), tc_HOL_Obool), tc_fun(tc_fun(_u19687, _u19686), tc_HOL_Obool), _u19686), hAPP(c_COMBS(tc_fun(_u19687, _u19686), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19687, _u19686)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19687, _u19686), tc_fun(tc_fun(_u19687, _u19686), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19687, _u19686))), _u19688)))), hAPP(hAPP(c_COMBC(_u19686, tc_fun(tc_fun(_u19687, _u19686), _u19686), tc_fun(tc_fun(_u19687, _u19686), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19686, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19687, _u19686), _u19686), tc_fun(tc_fun(_u19687, _u19686), tc_HOL_Obool)), _u19686), c_COMBB(_u19686, tc_HOL_Obool, tc_fun(_u19687, _u19686))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19687, _u19686), _u19687, _u19686), c_COMBI(tc_fun(_u19687, _u19686))), _u19689))))))) )).
% 12.54/12.80 cnf(matrix-8012, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19690) | ( hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19691, _u19690), _u19692), _u19693) = c_Complete__Lattice_OInf__class_OInf(_u19690, hAPP(c_Set_OCollect(_u19690), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19691, _u19690), tc_HOL_Obool), tc_HOL_Obool, _u19690), c_HOL_OEx(tc_fun(_u19691, _u19690))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19691, _u19690), tc_HOL_Obool), tc_fun(tc_fun(_u19691, _u19690), tc_HOL_Obool), _u19690), hAPP(c_COMBS(tc_fun(_u19691, _u19690), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19691, _u19690)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19691, _u19690), tc_fun(tc_fun(_u19691, _u19690), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19691, _u19690))), _u19692)))), hAPP(hAPP(c_COMBC(_u19690, tc_fun(tc_fun(_u19691, _u19690), _u19690), tc_fun(tc_fun(_u19691, _u19690), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19690, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19691, _u19690), _u19690), tc_fun(tc_fun(_u19691, _u19690), tc_HOL_Obool)), _u19690), c_COMBB(_u19690, tc_HOL_Obool, tc_fun(_u19691, _u19690))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19691, _u19690), _u19691, _u19690), c_COMBI(tc_fun(_u19691, _u19690))), _u19693))))))) )).
% 12.54/12.80 cnf(matrix-8013, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19694) | ( hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19695, _u19694), _u19696), _u19697) = c_Complete__Lattice_OInf__class_OInf(_u19694, hAPP(c_Set_OCollect(_u19694), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19695, _u19694), tc_HOL_Obool), tc_HOL_Obool, _u19694), c_HOL_OEx(tc_fun(_u19695, _u19694))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19695, _u19694), tc_HOL_Obool), tc_fun(tc_fun(_u19695, _u19694), tc_HOL_Obool), _u19694), hAPP(c_COMBS(tc_fun(_u19695, _u19694), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19695, _u19694)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19695, _u19694), tc_fun(tc_fun(_u19695, _u19694), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19695, _u19694))), _u19696)))), hAPP(hAPP(c_COMBC(_u19694, tc_fun(tc_fun(_u19695, _u19694), _u19694), tc_fun(tc_fun(_u19695, _u19694), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19694, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19695, _u19694), _u19694), tc_fun(tc_fun(_u19695, _u19694), tc_HOL_Obool)), _u19694), c_COMBB(_u19694, tc_HOL_Obool, tc_fun(_u19695, _u19694))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19695, _u19694), _u19695, _u19694), c_COMBI(tc_fun(_u19695, _u19694))), _u19697))))))) )).
% 12.54/12.80 cnf(matrix-8014, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19700), _u19701)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19700), _u19702)) | ( _u19702 = c_Orderings_Obot__class_Obot(tc_fun(_u19700, tc_HOL_Obool))) | c_Wellfounded_Omax__extp(_u19700, _u19703, _u19701, _u19702) | hBOOL(hAPP(hAPP(c_member(_u19700), skolem543(_u19703, _u19702, _u19701, _u19700)), _u19701)) )).
% 12.54/12.80 cnf(matrix-8015, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19700), _u19701)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19700), _u19702)) | ( _u19702 = c_Orderings_Obot__class_Obot(tc_fun(_u19700, tc_HOL_Obool))) | c_Wellfounded_Omax__extp(_u19700, _u19703, _u19701, _u19702) | ~hBOOL(hAPP(hAPP(c_member(_u19700), _u19698), _u19702)) | ~hBOOL(hAPP(hAPP(_u19703, skolem543(_u19703, _u19702, _u19701, _u19700)), _u19698)) )).
% 12.54/12.80 cnf(matrix-8016, plain, ( ~c_Predicate_Otransp(_u19706, _u19708) | c_Relation_Otrans(_u19706, hAPP(c_Set_OCollect(tc_prod(_u19706, _u19706)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19706, _u19706, tc_HOL_Obool), _u19708))) )).
% 12.54/12.80 cnf(matrix-8017, plain, ( ~c_Relation_Otrans(_u19707, hAPP(c_Set_OCollect(tc_prod(_u19707, _u19707)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19707, _u19707, tc_HOL_Obool), _u19709))) | c_Predicate_Otransp(_u19707, _u19709) )).
% 12.54/12.80 cnf(matrix-8018, plain, ( ~hBOOL(hAPP(hAPP(_u19711, _u19712), _u19713)) | ~hBOOL(hAPP(hAPP(_u19711, _u19713), _u19714)) | hBOOL(hAPP(hAPP(_u19711, _u19712), _u19714)) | ~c_Predicate_Otransp(_u19710, _u19711) )).
% 12.54/12.80 cnf(matrix-8019, plain, ( ~c_Equiv__Relations_Oequivp(_u19717, _u19719) | c_Predicate_Oreflp(_u19717, _u19719) )).
% 12.54/12.80 cnf(matrix-8020, plain, ( ~c_Equiv__Relations_Oequivp(_u19717, _u19719) | c_Predicate_Osymp(_u19717, _u19719) )).
% 12.54/12.80 cnf(matrix-8021, plain, ( ~c_Equiv__Relations_Oequivp(_u19717, _u19719) | c_Predicate_Otransp(_u19717, _u19719) )).
% 12.54/12.80 cnf(matrix-8022, plain, ( ~c_Predicate_Oreflp(_u19718, _u19720) | ~c_Predicate_Osymp(_u19718, _u19720) | ~c_Predicate_Otransp(_u19718, _u19720) | c_Equiv__Relations_Oequivp(_u19718, _u19720) )).
% 12.54/12.80 cnf(matrix-8023, plain, ( ~c_Predicate_Oreflp(_u19721, _u19722) | ~c_Predicate_Osymp(_u19721, _u19722) | ~c_Predicate_Otransp(_u19721, _u19722) | c_Equiv__Relations_Oequivp(_u19721, _u19722) )).
% 12.54/12.80 cnf(matrix-8024, plain, ( ~hBOOL(hAPP(hAPP(_u19724, _u19725), _u19726)) | hBOOL(hAPP(hAPP(_u19724, _u19726), _u19725)) | ~c_Predicate_Osymp(_u19723, _u19724) )).
% 12.54/12.80 cnf(matrix-8025, plain, ( ~c_Equiv__Relations_Oequivp(_u19727, _u19728) | c_Predicate_Oreflp(_u19727, _u19728) )).
% 12.54/12.80 cnf(matrix-8026, plain, ( ~c_Equiv__Relations_Oequivp(_u19727, _u19728) | c_Predicate_Osymp(_u19727, _u19728) )).
% 12.54/12.80 cnf(matrix-8027, plain, ( ~c_Equiv__Relations_Oequivp(_u19727, _u19728) | c_Predicate_Otransp(_u19727, _u19728) )).
% 12.54/12.80 cnf(matrix-8028, plain, ( ~c_Wellfounded_Omax__extp(_u19737, _u19739, _u19741, _u19743) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19737), _u19741)) )).
% 12.54/12.80 cnf(matrix-8029, plain, ( ~c_Wellfounded_Omax__extp(_u19737, _u19739, _u19741, _u19743) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19737), _u19743)) )).
% 12.54/12.80 cnf(matrix-8030, plain, ( ~c_Wellfounded_Omax__extp(_u19737, _u19739, _u19741, _u19743) | ( _u19743 != c_Orderings_Obot__class_Obot(tc_fun(_u19737, tc_HOL_Obool))) )).
% 12.54/12.80 cnf(matrix-8031, plain, ( ~c_Wellfounded_Omax__extp(_u19737, _u19739, _u19741, _u19743) | ~hBOOL(hAPP(hAPP(c_member(_u19737), _u19730), _u19741)) | hBOOL(hAPP(hAPP(c_member(_u19737), skolem544(_u19743, _u19741, _u19739, _u19737, _u19730)), _u19743)) )).
% 12.54/12.80 cnf(matrix-8032, plain, ( ~c_Wellfounded_Omax__extp(_u19737, _u19739, _u19741, _u19743) | ~hBOOL(hAPP(hAPP(c_member(_u19737), _u19730), _u19741)) | hBOOL(hAPP(hAPP(_u19739, _u19730), skolem544(_u19743, _u19741, _u19739, _u19737, _u19730))) )).
% 12.54/12.80 cnf(matrix-8033, plain, ( c_Wellfounded_Omax__extp(_u19738, _u19740, _u19742, _u19744) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19738), _u19742)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19738), _u19744)) | ( _u19744 = c_Orderings_Obot__class_Obot(tc_fun(_u19738, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u19738), skolem545(_u19744, _u19742, _u19740, _u19738)), _u19742)) )).
% 12.54/12.80 cnf(matrix-8034, plain, ( c_Wellfounded_Omax__extp(_u19738, _u19740, _u19742, _u19744) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19738), _u19742)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19738), _u19744)) | ( _u19744 = c_Orderings_Obot__class_Obot(tc_fun(_u19738, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u19738), _u19731), _u19744)) | ~hBOOL(hAPP(hAPP(_u19740, skolem545(_u19744, _u19742, _u19740, _u19738)), _u19731)) )).
% 12.54/12.80 cnf(matrix-8035, plain, ( ~c_Relation_Otrans(_u19745, _u19746) | ~c_Relation_Oantisym(_u19745, _u19746) | c_Relation_Otrans(_u19745, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u19745, _u19745), tc_HOL_Obool)), _u19746), c_Relation_OId(_u19745))) )).
% 12.54/12.80 cnf(matrix-8036, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19747, _u19747), tc_HOL_Obool)), _u19748), _u19749)) | ~c_Relation_Oantisym(_u19747, _u19749) | c_Relation_Oantisym(_u19747, _u19748) )).
% 12.54/12.80 cnf(matrix-8037, plain, ( c_Relation_Oantisym(_u19750, c_Relation_OId__on(_u19750, _u19751)) )).
% 12.54/12.80 cnf(matrix-8038, plain, ( c_Relation_Oantisym(_u19752, c_Relation_OId(_u19752)) )).
% 12.54/12.80 cnf(matrix-8039, plain, ( c_Relation_Oantisym(_u19753, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u19753, _u19753), tc_HOL_Obool))) )).
% 12.54/12.80 cnf(matrix-8040, plain, ( ~c_Relation_Oantisym(_u19756, hAPP(c_Relation_Oconverse(_u19756, _u19756), _u19758)) | c_Relation_Oantisym(_u19756, _u19758) )).
% 12.54/12.80 cnf(matrix-8041, plain, ( ~c_Relation_Oantisym(_u19757, _u19759) | c_Relation_Oantisym(_u19757, hAPP(c_Relation_Oconverse(_u19757, _u19757), _u19759)) )).
% 12.54/12.80 cnf(matrix-8042, plain, ( ~c_Relation_Oantisym(_u19760, _u19761) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19760, _u19760)), hAPP(hAPP(c_Product__Type_OPair(_u19760, _u19760), _u19762), _u19763)), _u19761)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19760, _u19760)), hAPP(hAPP(c_Product__Type_OPair(_u19760, _u19760), _u19763), _u19762)), _u19761)) | ( _u19762 = _u19763) )).
% 12.54/12.80 cnf(matrix-8043, plain, ( ~c_Relation_Oantisym(_u19770, _u19772) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19770, _u19770)), hAPP(hAPP(c_Product__Type_OPair(_u19770, _u19770), _u19765), _u19764)), _u19772)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19770, _u19770)), hAPP(hAPP(c_Product__Type_OPair(_u19770, _u19770), _u19764), _u19765)), _u19772)) | ( _u19765 = _u19764) )).
% 12.54/12.80 cnf(matrix-8044, plain, ( c_Relation_Oantisym(_u19771, _u19773) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19771, _u19771)), hAPP(hAPP(c_Product__Type_OPair(_u19771, _u19771), skolem546(_u19773, _u19771)), skolem547(_u19773, _u19771))), _u19773)) )).
% 12.54/12.80 cnf(matrix-8045, plain, ( c_Relation_Oantisym(_u19771, _u19773) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19771, _u19771)), hAPP(hAPP(c_Product__Type_OPair(_u19771, _u19771), skolem547(_u19773, _u19771)), skolem546(_u19773, _u19771))), _u19773)) )).
% 12.54/12.80 cnf(matrix-8046, plain, ( c_Relation_Oantisym(_u19771, _u19773) | ( skolem546(_u19773, _u19771) != skolem547(_u19773, _u19771)) )).
% 12.54/12.80 cnf(matrix-8047, plain, ( ~c_Relation_Oantisym(_u19776, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19776, _u19776), tc_HOL_Obool)), _u19778), c_Relation_OId(_u19776))) | c_Relation_Oantisym(_u19776, _u19778) )).
% 12.54/12.80 cnf(matrix-8048, plain, ( ~c_Relation_Oantisym(_u19777, _u19779) | c_Relation_Oantisym(_u19777, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19777, _u19777), tc_HOL_Obool)), _u19779), c_Relation_OId(_u19777))) )).
% 12.54/12.80 cnf(matrix-8049, plain, ( ~c_Wellfounded_Oacyclic(_u19780, _u19781) | c_Relation_Oantisym(_u19780, c_Transitive__Closure_Ortrancl(_u19780, _u19781)) )).
% 12.54/12.80 cnf(matrix-8050, plain, ( ( c_Partial__Function_Ofun__lub(_u19782, _u19783, _u19784, _u19785, _u19786, _u19787) = hAPP(_u19785, hAPP(c_Set_OCollect(_u19782), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19784, _u19782), tc_HOL_Obool), tc_HOL_Obool, _u19782), c_HOL_OEx(tc_fun(_u19784, _u19782))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19784, _u19782), tc_HOL_Obool), tc_fun(tc_fun(_u19784, _u19782), tc_HOL_Obool), _u19782), hAPP(c_COMBS(tc_fun(_u19784, _u19782), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19784, _u19782)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19784, _u19782), tc_fun(tc_fun(_u19784, _u19782), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19784, _u19782))), _u19786)))), hAPP(hAPP(c_COMBC(_u19782, tc_fun(tc_fun(_u19784, _u19782), _u19782), tc_fun(tc_fun(_u19784, _u19782), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19782, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19784, _u19782), _u19782), tc_fun(tc_fun(_u19784, _u19782), tc_HOL_Obool)), _u19782), c_COMBB(_u19782, tc_HOL_Obool, tc_fun(_u19784, _u19782))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19784, _u19782), _u19784, _u19782), c_COMBI(tc_fun(_u19784, _u19782))), _u19787))))))) )).
% 12.54/12.80 cnf(matrix-8051, plain, ( ~c_Relation_Osym(_u19788, _u19789) | ~c_Relation_Otrans(_u19788, _u19789) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19788, _u19788), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u19788, _u19788, _u19788), hAPP(c_Relation_Oconverse(_u19788, _u19788), _u19789)), _u19789)), _u19789)) )).
% 12.54/12.80 cnf(matrix-8052, plain, ( ~c_Relation_Osym(_u19796, _u19798) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19796, _u19796)), hAPP(hAPP(c_Product__Type_OPair(_u19796, _u19796), _u19791), _u19790)), _u19798)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19796, _u19796)), hAPP(hAPP(c_Product__Type_OPair(_u19796, _u19796), _u19790), _u19791)), _u19798)) )).
% 12.54/12.80 cnf(matrix-8053, plain, ( c_Relation_Osym(_u19797, _u19799) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19797, _u19797)), hAPP(hAPP(c_Product__Type_OPair(_u19797, _u19797), skolem548(_u19799, _u19797)), skolem549(_u19799, _u19797))), _u19799)) )).
% 12.54/12.80 cnf(matrix-8054, plain, ( c_Relation_Osym(_u19797, _u19799) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19797, _u19797)), hAPP(hAPP(c_Product__Type_OPair(_u19797, _u19797), skolem549(_u19799, _u19797)), skolem548(_u19799, _u19797))), _u19799)) )).
% 12.54/12.80 cnf(matrix-8055, plain, ( ~c_Relation_Osym(_u19800, _u19801) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19800, _u19800)), hAPP(hAPP(c_Product__Type_OPair(_u19800, _u19800), _u19802), _u19803)), _u19801)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19800, _u19800)), hAPP(hAPP(c_Product__Type_OPair(_u19800, _u19800), _u19803), _u19802)), _u19801)) )).
% 12.54/12.80 cnf(matrix-8056, plain, ( ~c_Relation_Osym(_u19806, hAPP(c_Relation_Oconverse(_u19806, _u19806), _u19808)) | c_Relation_Osym(_u19806, _u19808) )).
% 12.54/12.80 cnf(matrix-8057, plain, ( ~c_Relation_Osym(_u19807, _u19809) | c_Relation_Osym(_u19807, hAPP(c_Relation_Oconverse(_u19807, _u19807), _u19809)) )).
% 12.54/12.80 cnf(matrix-8058, plain, ( ~c_Relation_Osym(_u19812, _u19814) | ( hAPP(c_Relation_Oconverse(_u19812, _u19812), _u19814) = _u19814) )).
% 12.54/12.80 cnf(matrix-8059, plain, ( ( hAPP(c_Relation_Oconverse(_u19813, _u19813), _u19815) != _u19815) | c_Relation_Osym(_u19813, _u19815) )).
% 12.54/12.80 cnf(matrix-8060, plain, ( ~c_Relation_Osym(_u19816, _u19817) | c_Relation_Osym(tc_List_Olist(_u19816), c_List_Olistrel(_u19816, _u19817)) )).
% 12.54/12.80 cnf(matrix-8061, plain, ( c_Relation_Osym(_u19818, c_Relation_OId__on(_u19818, _u19819)) )).
% 12.54/12.80 cnf(matrix-8062, plain, ( ~c_Relation_Osym(_u19820, _u19821) | c_Relation_Osym(_u19820, c_Transitive__Closure_Otrancl(_u19820, _u19821)) )).
% 12.54/12.80 cnf(matrix-8063, plain, ( ~c_Relation_Osym(_u19822, _u19823) | ~c_Relation_Osym(_u19822, _u19824) | c_Relation_Osym(_u19822, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19822, _u19822), tc_HOL_Obool)), _u19823), _u19824)) )).
% 12.54/12.80 cnf(matrix-8064, plain, ( c_Relation_Osym(_u19825, c_Relation_OId(_u19825)) )).
% 12.54/12.80 cnf(matrix-8065, plain, ( ~c_Relation_Osym(_u19826, _u19827) | c_Relation_Osym(_u19826, c_Transitive__Closure_Ortrancl(_u19826, _u19827)) )).
% 12.54/12.80 cnf(matrix-8066, plain, ( ~c_Relation_Osym(_u19828, _u19829) | ~c_Relation_Osym(_u19828, _u19830) | c_Relation_Osym(_u19828, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u19828, _u19828), tc_HOL_Obool)), _u19829), _u19830)) )).
% 12.54/12.80 cnf(matrix-8067, plain, ( c_Relation_Osym(_u19831, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19831, _u19831), tc_HOL_Obool)), _u19832), hAPP(c_Relation_Oconverse(_u19831, _u19831), _u19832))) )).
% 12.54/12.80 cnf(matrix-8068, plain, ( ~c_Relation_Osym(_u19833, _u19834) | c_Relation_Osym(_u19835, hAPP(hAPP(c_Relation_Oinv__image(_u19833, _u19835), _u19834), _u19836)) )).
% 12.54/12.80 cnf(matrix-8069, plain, ( c_Relation_Osym(_u19837, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u19837, _u19837), tc_HOL_Obool)), _u19838), hAPP(c_Relation_Oconverse(_u19837, _u19837), _u19838))) )).
% 12.54/12.80 cnf(matrix-8070, plain, ( ~c_Equiv__Relations_Oequiv(_u19839, _u19840, _u19841) | c_Relation_Orefl__on(_u19839, _u19840, _u19841) )).
% 12.54/12.80 cnf(matrix-8071, plain, ( ~c_Equiv__Relations_Oequiv(_u19839, _u19840, _u19841) | c_Relation_Osym(_u19839, _u19841) )).
% 12.54/12.80 cnf(matrix-8072, plain, ( ~c_Equiv__Relations_Oequiv(_u19839, _u19840, _u19841) | c_Relation_Otrans(_u19839, _u19841) )).
% 12.54/12.80 cnf(matrix-8073, plain, ( ~c_Relation_Orefl__on(_u19842, _u19843, _u19844) | ~c_Relation_Osym(_u19842, _u19844) | ~c_Relation_Otrans(_u19842, _u19844) | c_Equiv__Relations_Oequiv(_u19842, _u19843, _u19844) )).
% 12.54/12.80 cnf(matrix-8074, plain, ( ~c_Equiv__Relations_Oequiv(_u19848, _u19850, _u19852) | c_Relation_Orefl__on(_u19848, _u19850, _u19852) )).
% 12.54/12.80 cnf(matrix-8075, plain, ( ~c_Equiv__Relations_Oequiv(_u19848, _u19850, _u19852) | c_Relation_Osym(_u19848, _u19852) )).
% 12.54/12.80 cnf(matrix-8076, plain, ( ~c_Equiv__Relations_Oequiv(_u19848, _u19850, _u19852) | c_Relation_Otrans(_u19848, _u19852) )).
% 12.54/12.80 cnf(matrix-8077, plain, ( ~c_Relation_Orefl__on(_u19849, _u19851, _u19853) | ~c_Relation_Osym(_u19849, _u19853) | ~c_Relation_Otrans(_u19849, _u19853) | c_Equiv__Relations_Oequiv(_u19849, _u19851, _u19853) )).
% 12.54/12.80 cnf(matrix-8078, plain, ( ~c_Predicate_Osymp(_u19856, _u19858) | c_Relation_Osym(_u19856, hAPP(c_Set_OCollect(tc_prod(_u19856, _u19856)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19856, _u19856, tc_HOL_Obool), _u19858))) )).
% 12.54/12.80 cnf(matrix-8079, plain, ( ~c_Relation_Osym(_u19857, hAPP(c_Set_OCollect(tc_prod(_u19857, _u19857)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19857, _u19857, tc_HOL_Obool), _u19859))) | c_Predicate_Osymp(_u19857, _u19859) )).
% 12.54/12.80 cnf(matrix-8080, plain, ( ~c_Equiv__Relations_Opart__equivp(_u19864, _u19866) | hBOOL(hAPP(hAPP(_u19866, skolem550(_u19866, _u19864)), skolem550(_u19866, _u19864))) )).
% 12.54/12.80 cnf(matrix-8081, plain, ( ~c_Equiv__Relations_Opart__equivp(_u19864, _u19866) | c_Predicate_Osymp(_u19864, _u19866) )).
% 12.54/12.80 cnf(matrix-8082, plain, ( ~c_Equiv__Relations_Opart__equivp(_u19864, _u19866) | c_Predicate_Otransp(_u19864, _u19866) )).
% 12.54/12.80 cnf(matrix-8083, plain, ( ~hBOOL(hAPP(hAPP(_u19867, _u19861), _u19861)) | ~c_Predicate_Osymp(_u19865, _u19867) | ~c_Predicate_Otransp(_u19865, _u19867) | c_Equiv__Relations_Opart__equivp(_u19865, _u19867) )).
% 12.54/12.80 cnf(matrix-8084, plain, ( ~hBOOL(hAPP(hAPP(_u19869, _u19868), _u19868)) | ~c_Predicate_Osymp(_u19870, _u19869) | ~c_Predicate_Otransp(_u19870, _u19869) | c_Equiv__Relations_Opart__equivp(_u19870, _u19869) )).
% 12.54/12.80 cnf(matrix-8085, plain, ( ~c_Equiv__Relations_Oequivp(_u19871, _u19872) | c_Equiv__Relations_Opart__equivp(_u19871, _u19872) )).
% 12.54/12.80 cnf(matrix-8086, plain, ( ~c_Equiv__Relations_Opart__equivp(_u19889, _u19891) | hBOOL(hAPP(hAPP(_u19891, skolem551(_u19891)), skolem551(_u19891))) )).
% 12.54/12.80 cnf(matrix-8087, plain, ( ~c_Equiv__Relations_Opart__equivp(_u19889, _u19891) | ~hBOOL(hAPP(hAPP(_u19891, _u19883), _u19881)) | hBOOL(hAPP(hAPP(_u19891, _u19883), _u19883)) )).
% 12.54/12.80 cnf(matrix-8088, plain, ( ~c_Equiv__Relations_Opart__equivp(_u19889, _u19891) | ~hBOOL(hAPP(hAPP(_u19891, _u19883), _u19881)) | hBOOL(hAPP(hAPP(_u19891, _u19881), _u19881)) )).
% 12.54/12.80 cnf(matrix-8089, plain, ( ~c_Equiv__Relations_Opart__equivp(_u19889, _u19891) | ~hBOOL(hAPP(hAPP(_u19891, _u19883), _u19881)) | ( hAPP(_u19891, _u19883) = hAPP(_u19891, _u19881)) )).
% 12.54/12.80 cnf(matrix-8090, plain, ( ~c_Equiv__Relations_Opart__equivp(_u19889, _u19891) | ~hBOOL(hAPP(hAPP(_u19891, _u19884), _u19884)) | ~hBOOL(hAPP(hAPP(_u19891, _u19882), _u19882)) | ( hAPP(_u19891, _u19884) != hAPP(_u19891, _u19882)) | hBOOL(hAPP(hAPP(_u19891, _u19884), _u19882)) )).
% 12.54/12.80 cnf(matrix-8091, plain, ( c_Equiv__Relations_Opart__equivp(_u19890, _u19892) | ~hBOOL(hAPP(hAPP(_u19892, _u19876), _u19876)) | hBOOL(hAPP(hAPP(_u19892, skolem552(_u19892)), skolem553(_u19892))) | hBOOL(hAPP(hAPP(_u19892, skolem554(_u19892)), skolem554(_u19892))) )).
% 12.54/12.80 cnf(matrix-8092, plain, ( c_Equiv__Relations_Opart__equivp(_u19890, _u19892) | ~hBOOL(hAPP(hAPP(_u19892, _u19876), _u19876)) | hBOOL(hAPP(hAPP(_u19892, skolem552(_u19892)), skolem553(_u19892))) | hBOOL(hAPP(hAPP(_u19892, skolem555(_u19892)), skolem555(_u19892))) )).
% 12.54/12.80 cnf(matrix-8093, plain, ( c_Equiv__Relations_Opart__equivp(_u19890, _u19892) | ~hBOOL(hAPP(hAPP(_u19892, _u19876), _u19876)) | hBOOL(hAPP(hAPP(_u19892, skolem552(_u19892)), skolem553(_u19892))) | ( hAPP(_u19892, skolem554(_u19892)) = hAPP(_u19892, skolem555(_u19892))) )).
% 12.54/12.80 cnf(matrix-8094, plain, ( c_Equiv__Relations_Opart__equivp(_u19890, _u19892) | ~hBOOL(hAPP(hAPP(_u19892, _u19876), _u19876)) | hBOOL(hAPP(hAPP(_u19892, skolem552(_u19892)), skolem553(_u19892))) | ~hBOOL(hAPP(hAPP(_u19892, skolem554(_u19892)), skolem555(_u19892))) )).
% 12.54/12.80 cnf(matrix-8095, plain, ( c_Equiv__Relations_Opart__equivp(_u19890, _u19892) | ~hBOOL(hAPP(hAPP(_u19892, _u19876), _u19876)) | ~hBOOL(hAPP(hAPP(_u19892, skolem552(_u19892)), skolem552(_u19892))) | ~hBOOL(hAPP(hAPP(_u19892, skolem553(_u19892)), skolem553(_u19892))) | ( hAPP(_u19892, skolem552(_u19892)) != hAPP(_u19892, skolem553(_u19892))) | hBOOL(hAPP(hAPP(_u19892, skolem554(_u19892)), skolem554(_u19892))) )).
% 12.54/12.80 cnf(matrix-8096, plain, ( c_Equiv__Relations_Opart__equivp(_u19890, _u19892) | ~hBOOL(hAPP(hAPP(_u19892, _u19876), _u19876)) | ~hBOOL(hAPP(hAPP(_u19892, skolem552(_u19892)), skolem552(_u19892))) | ~hBOOL(hAPP(hAPP(_u19892, skolem553(_u19892)), skolem553(_u19892))) | ( hAPP(_u19892, skolem552(_u19892)) != hAPP(_u19892, skolem553(_u19892))) | hBOOL(hAPP(hAPP(_u19892, skolem555(_u19892)), skolem555(_u19892))) )).
% 12.54/12.80 cnf(matrix-8097, plain, ( c_Equiv__Relations_Opart__equivp(_u19890, _u19892) | ~hBOOL(hAPP(hAPP(_u19892, _u19876), _u19876)) | ~hBOOL(hAPP(hAPP(_u19892, skolem552(_u19892)), skolem552(_u19892))) | ~hBOOL(hAPP(hAPP(_u19892, skolem553(_u19892)), skolem553(_u19892))) | ( hAPP(_u19892, skolem552(_u19892)) != hAPP(_u19892, skolem553(_u19892))) | ( hAPP(_u19892, skolem554(_u19892)) = hAPP(_u19892, skolem555(_u19892))) )).
% 12.54/12.80 cnf(matrix-8098, plain, ( c_Equiv__Relations_Opart__equivp(_u19890, _u19892) | ~hBOOL(hAPP(hAPP(_u19892, _u19876), _u19876)) | ~hBOOL(hAPP(hAPP(_u19892, skolem552(_u19892)), skolem552(_u19892))) | ~hBOOL(hAPP(hAPP(_u19892, skolem553(_u19892)), skolem553(_u19892))) | ( hAPP(_u19892, skolem552(_u19892)) != hAPP(_u19892, skolem553(_u19892))) | ~hBOOL(hAPP(hAPP(_u19892, skolem554(_u19892)), skolem555(_u19892))) )).
% 12.54/12.80 cnf(matrix-8099, plain, ( ~hBOOL(hAPP(hAPP(_u19894, _u19895), _u19896)) | hBOOL(hAPP(hAPP(_u19894, _u19896), _u19895)) | ~c_Equiv__Relations_Opart__equivp(_u19893, _u19894) )).
% 12.54/12.80 cnf(matrix-8100, plain, ( ~hBOOL(hAPP(hAPP(_u19898, _u19899), _u19900)) | ~hBOOL(hAPP(hAPP(_u19898, _u19900), _u19901)) | hBOOL(hAPP(hAPP(_u19898, _u19899), _u19901)) | ~c_Equiv__Relations_Opart__equivp(_u19897, _u19898) )).
% 12.54/12.80 cnf(matrix-8101, plain, ( ~c_Equiv__Relations_Opart__equivp(_u19903, _u19904) | hBOOL(hAPP(hAPP(_u19904, skolem556(_u19904, _u19903)), skolem556(_u19904, _u19903))) )).
% 12.54/12.80 cnf(matrix-8102, plain, ( ~c_Equiv__Relations_Opart__equivp(_u19903, _u19904) | c_Predicate_Osymp(_u19903, _u19904) )).
% 12.54/12.80 cnf(matrix-8103, plain, ( ~c_Equiv__Relations_Opart__equivp(_u19903, _u19904) | c_Predicate_Otransp(_u19903, _u19904) )).
% 12.54/12.80 cnf(matrix-8104, plain, ( ~c_Equiv__Relations_Opart__equivp(_u19906, _u19907) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19906, tc_HOL_Obool)), skolem557(_u19907, _u19906)), hAPP(hAPP(c_COMBB(tc_fun(_u19906, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u19906, tc_HOL_Obool)), c_HOL_OEx(_u19906)), hAPP(hAPP(c_COMBB(tc_fun(_u19906, tc_HOL_Obool), tc_fun(_u19906, tc_HOL_Obool), tc_fun(_u19906, tc_HOL_Obool)), hAPP(c_COMBS(_u19906, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19906), c_fconj), hAPP(hAPP(c_COMBS(_u19906, _u19906, tc_HOL_Obool), _u19907), c_COMBI(_u19906))))), hAPP(hAPP(c_COMBC(tc_fun(_u19906, tc_HOL_Obool), tc_fun(_u19906, tc_fun(_u19906, tc_HOL_Obool)), tc_fun(_u19906, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19906, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u19906, tc_fun(_u19906, tc_HOL_Obool)), tc_fun(_u19906, tc_HOL_Obool)), tc_fun(_u19906, tc_HOL_Obool)), c_COMBB(tc_fun(_u19906, tc_HOL_Obool), tc_HOL_Obool, _u19906)), c_fequal)), _u19907))))) )).
% 12.54/12.80 cnf(matrix-8105, plain, ( ~c_Fun_Oinj__on(_u19911, _u19913, _u19915, c_Orderings_Otop__class_Otop(tc_fun(_u19911, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u19913, _u19911, _u19911, c_Hilbert__Choice_Oinv__into(_u19911, _u19913, c_Orderings_Otop__class_Otop(tc_fun(_u19911, tc_HOL_Obool)), _u19915)), _u19915) = c_Fun_Oid(_u19911)) )).
% 12.54/12.80 cnf(matrix-8106, plain, ( ( hAPP(c_Fun_Ocomp(_u19914, _u19912, _u19912, c_Hilbert__Choice_Oinv__into(_u19912, _u19914, c_Orderings_Otop__class_Otop(tc_fun(_u19912, tc_HOL_Obool)), _u19916)), _u19916) != c_Fun_Oid(_u19912)) | c_Fun_Oinj__on(_u19912, _u19914, _u19916, c_Orderings_Otop__class_Otop(tc_fun(_u19912, tc_HOL_Obool))) )).
% 12.54/12.80 cnf(matrix-8107, plain, ( ~c_Fun_Oinj__on(_u19917, _u19918, _u19919, c_Orderings_Otop__class_Otop(tc_fun(_u19917, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u19918, _u19917, _u19917, c_Hilbert__Choice_Oinv__into(_u19917, _u19918, c_Orderings_Otop__class_Otop(tc_fun(_u19917, tc_HOL_Obool)), _u19919)), _u19919) = c_Fun_Oid(_u19917)) )).
% 12.54/12.80 cnf(matrix-8108, plain, ( ~c_Fun_Oinj__on(_u19920, _u19921, _u19922, c_Orderings_Otop__class_Otop(tc_fun(_u19920, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u19921, _u19923, _u19920, hAPP(c_Fun_Ocomp(_u19920, _u19923, _u19921, _u19924), c_Hilbert__Choice_Oinv__into(_u19920, _u19921, c_Orderings_Otop__class_Otop(tc_fun(_u19920, tc_HOL_Obool)), _u19922))), _u19922) = _u19924) )).
% 12.54/12.80 cnf(matrix-8109, plain, ( ( c_Hilbert__Choice_Oinv__into(_u19925, _u19925, c_Orderings_Otop__class_Otop(tc_fun(_u19925, tc_HOL_Obool)), c_Fun_Oid(_u19925)) = c_Fun_Oid(_u19925)) )).
% 12.54/12.80 cnf(matrix-8110, plain, ( ( hAPP(c_Set_Oimage(_u19926, _u19927, _u19928), _u19929) != _u19930) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19927, tc_HOL_Obool)), _u19931), _u19930)) | ( hAPP(c_Set_Oimage(_u19926, _u19927, _u19928), hAPP(c_Set_Oimage(_u19927, _u19926, c_Hilbert__Choice_Oinv__into(_u19926, _u19927, _u19929, _u19928)), _u19931)) = _u19931) )).
% 12.54/12.80 cnf(matrix-8111, plain, ( ( hAPP(c_Set_Oimage(_u19937, _u19939, _u19941), c_Orderings_Otop__class_Otop(tc_fun(_u19937, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u19939, tc_HOL_Obool))) | ( hAPP(_u19941, hAPP(c_Hilbert__Choice_Oinv__into(_u19937, _u19939, c_Orderings_Otop__class_Otop(tc_fun(_u19937, tc_HOL_Obool)), _u19941), _u19932)) = _u19932) )).
% 12.54/12.80 cnf(matrix-8112, plain, ( ( hAPP(_u19942, hAPP(c_Hilbert__Choice_Oinv__into(_u19938, _u19940, c_Orderings_Otop__class_Otop(tc_fun(_u19938, tc_HOL_Obool)), _u19942), skolem558(_u19942, _u19940, _u19938))) != skolem558(_u19942, _u19940, _u19938)) | ( hAPP(c_Set_Oimage(_u19938, _u19940, _u19942), c_Orderings_Otop__class_Otop(tc_fun(_u19938, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u19940, tc_HOL_Obool))) )).
% 12.54/12.80 cnf(matrix-8113, plain, ( ( hAPP(c_Set_Oimage(_u19943, _u19944, _u19945), c_Orderings_Otop__class_Otop(tc_fun(_u19943, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u19944, tc_HOL_Obool))) | ( hAPP(_u19945, hAPP(c_Hilbert__Choice_Oinv__into(_u19943, _u19944, c_Orderings_Otop__class_Otop(tc_fun(_u19943, tc_HOL_Obool)), _u19945), _u19946)) = _u19946) )).
% 12.54/12.80 cnf(matrix-8114, plain, ( ( hAPP(c_Set_Oimage(_u19947, _u19948, _u19949), c_Orderings_Otop__class_Otop(tc_fun(_u19947, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u19948, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u19947, _u19948, _u19949), hAPP(c_Set_Oimage(_u19948, _u19947, c_Hilbert__Choice_Oinv__into(_u19947, _u19948, c_Orderings_Otop__class_Otop(tc_fun(_u19947, tc_HOL_Obool)), _u19949)), _u19950)) = _u19950) )).
% 12.54/12.80 cnf(matrix-8115, plain, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u19951, _u19952, _u19953, _u19954), _u19955) != hAPP(c_Hilbert__Choice_Oinv__into(_u19951, _u19952, _u19953, _u19954), _u19956)) | ~hBOOL(hAPP(hAPP(c_member(_u19952), _u19955), hAPP(c_Set_Oimage(_u19951, _u19952, _u19954), _u19953))) | ~hBOOL(hAPP(hAPP(c_member(_u19952), _u19956), hAPP(c_Set_Oimage(_u19951, _u19952, _u19954), _u19953))) | ( _u19955 = _u19956) )).
% 12.54/12.80 cnf(matrix-8116, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19957), _u19958), hAPP(c_Set_Oimage(_u19959, _u19957, _u19960), _u19961))) | hBOOL(hAPP(hAPP(c_member(_u19959), hAPP(c_Hilbert__Choice_Oinv__into(_u19959, _u19957, _u19961, _u19960), _u19958)), _u19961)) )).
% 12.54/12.80 cnf(matrix-8117, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19962), _u19963), hAPP(c_Set_Oimage(_u19964, _u19962, _u19965), _u19966))) | ( hAPP(_u19965, hAPP(c_Hilbert__Choice_Oinv__into(_u19964, _u19962, _u19966, _u19965), _u19963)) = _u19963) )).
% 12.54/12.80 cnf(matrix-8118, plain, ( ~c_Fun_Oinj__on(_u19967, _u19968, _u19969, _u19970) | ~hBOOL(hAPP(hAPP(c_member(_u19967), _u19971), _u19970)) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u19967, _u19968, _u19970, _u19969), hAPP(_u19969, _u19971)) = _u19971) )).
% 12.54/12.80 cnf(matrix-8119, plain, ( ~c_Fun_Oinj__on(_u19972, _u19973, _u19974, _u19975) | ~hBOOL(hAPP(hAPP(c_member(_u19972), _u19976), _u19975)) | ( hAPP(_u19974, _u19976) != _u19977) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u19972, _u19973, _u19975, _u19974), _u19977) = _u19976) )).
% 12.54/12.80 cnf(matrix-8120, plain, ( ~c_Fun_Oinj__on(_u19978, _u19979, _u19980, c_Orderings_Otop__class_Otop(tc_fun(_u19978, tc_HOL_Obool))) | ( hAPP(_u19980, _u19981) != _u19982) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u19978, _u19979, c_Orderings_Otop__class_Otop(tc_fun(_u19978, tc_HOL_Obool)), _u19980), _u19982) = _u19981) )).
% 12.54/12.80 cnf(matrix-8121, plain, ( ~c_Fun_Oinj__on(_u19983, _u19984, _u19985, c_Orderings_Otop__class_Otop(tc_fun(_u19983, tc_HOL_Obool))) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u19983, _u19984, c_Orderings_Otop__class_Otop(tc_fun(_u19983, tc_HOL_Obool)), _u19985), hAPP(_u19985, _u19986)) = _u19986) )).
% 12.54/12.80 cnf(matrix-8122, plain, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u19987, _u19988, _u19989, _u19990), _u19991) = c_Hilbert__Choice_OEps(_u19987, hAPP(hAPP(c_COMBS(_u19987, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19987), c_fconj), hAPP(hAPP(c_COMBC(_u19987, tc_fun(_u19987, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19987)), _u19989))), hAPP(hAPP(c_COMBC(_u19987, _u19988, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u19988, tc_fun(_u19988, tc_HOL_Obool), _u19987), c_fequal), _u19990)), _u19991)))) )).
% 12.54/12.80 cnf(matrix-8123, plain, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u19992, _u19993, c_Orderings_Otop__class_Otop(tc_fun(_u19992, tc_HOL_Obool)), _u19994), _u19995) = c_Hilbert__Choice_OEps(_u19992, hAPP(hAPP(c_COMBC(_u19992, _u19993, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u19993, tc_fun(_u19993, tc_HOL_Obool), _u19992), c_fequal), _u19994)), _u19995))) )).
% 12.54/12.80 cnf(matrix-8124, plain, ( ~c_Fun_Oinj__on(_u19996, _u19997, _u19998, c_Orderings_Otop__class_Otop(tc_fun(_u19996, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u19997, _u19996, c_Hilbert__Choice_Oinv__into(_u19996, _u19997, c_Orderings_Otop__class_Otop(tc_fun(_u19996, tc_HOL_Obool)), _u19998)), c_Orderings_Otop__class_Otop(tc_fun(_u19997, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u19996, tc_HOL_Obool))) )).
% 12.54/12.80 cnf(matrix-8125, plain, ( ~c_Fun_Oinj__on(_u19999, _u20000, _u20001, c_Orderings_Otop__class_Otop(tc_fun(_u19999, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20000, _u19999, c_Hilbert__Choice_Oinv__into(_u19999, _u20000, c_Orderings_Otop__class_Otop(tc_fun(_u19999, tc_HOL_Obool)), _u20001)), hAPP(c_Set_Oimage(_u19999, _u20000, _u20001), _u20002)) = _u20002) )).
% 12.54/12.80 cnf(matrix-8126, plain, ( ~c_Fun_Oinj__on(_u20003, _u20004, _u20005, c_Orderings_Otop__class_Otop(tc_fun(_u20003, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20004, _u20003, c_Hilbert__Choice_Oinv__into(_u20003, _u20004, c_Orderings_Otop__class_Otop(tc_fun(_u20003, tc_HOL_Obool)), _u20005)), hAPP(c_Set_Oimage(_u20003, _u20004, _u20005), _u20006)) = _u20006) )).
% 12.54/12.80 cnf(matrix-8127, plain, ( ( hAPP(c_Set_Oimage(_u20007, _u20008, _u20009), c_Orderings_Otop__class_Otop(tc_fun(_u20007, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20008, tc_HOL_Obool))) | c_Fun_Oinj__on(_u20008, _u20007, c_Hilbert__Choice_Oinv__into(_u20007, _u20008, c_Orderings_Otop__class_Otop(tc_fun(_u20007, tc_HOL_Obool)), _u20009), c_Orderings_Otop__class_Otop(tc_fun(_u20008, tc_HOL_Obool))) )).
% 12.54/12.80 cnf(matrix-8128, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20010, tc_HOL_Obool)), _u20011), hAPP(c_Set_Oimage(_u20012, _u20010, _u20013), _u20014))) | c_Fun_Oinj__on(_u20010, _u20012, c_Hilbert__Choice_Oinv__into(_u20012, _u20010, _u20014, _u20013), _u20011) )).
% 12.54/12.80 cnf(matrix-8129, plain, ( ~c_Fun_Oinj__on(_u20015, _u20016, _u20017, _u20018) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20015, tc_HOL_Obool)), _u20019), _u20018)) | ( hAPP(c_Set_Oimage(_u20016, _u20015, c_Hilbert__Choice_Oinv__into(_u20015, _u20016, _u20018, _u20017)), hAPP(c_Set_Oimage(_u20015, _u20016, _u20017), _u20019)) = _u20019) )).
% 12.54/12.80 cnf(matrix-8130, plain, ( ~c_Fun_Oinj__on(_u20020, _u20021, _u20022, hAPP(c_Set_Oimage(_u20023, _u20020, _u20024), _u20025)) | ~c_Fun_Oinj__on(_u20023, _u20020, _u20024, _u20025) | ~hBOOL(hAPP(hAPP(c_member(_u20021), _u20026), hAPP(c_Set_Oimage(_u20020, _u20021, _u20022), hAPP(c_Set_Oimage(_u20023, _u20020, _u20024), _u20025)))) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20023, _u20021, _u20025, hAPP(c_Fun_Ocomp(_u20020, _u20021, _u20023, _u20022), _u20024)), _u20026) = hAPP(hAPP(c_Fun_Ocomp(_u20020, _u20023, _u20021, c_Hilbert__Choice_Oinv__into(_u20023, _u20020, _u20025, _u20024)), c_Hilbert__Choice_Oinv__into(_u20020, _u20021, hAPP(c_Set_Oimage(_u20023, _u20020, _u20024), _u20025), _u20022)), _u20026)) )).
% 12.54/12.80 cnf(matrix-8131, plain, ( ( hAPP(c_Set_Oimage(_u20030, _u20032, _u20034), c_Orderings_Otop__class_Otop(tc_fun(_u20030, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20032, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u20030, _u20032, _u20032, _u20034), c_Hilbert__Choice_Oinv__into(_u20030, _u20032, c_Orderings_Otop__class_Otop(tc_fun(_u20030, tc_HOL_Obool)), _u20034)) = c_Fun_Oid(_u20032)) )).
% 12.54/12.80 cnf(matrix-8132, plain, ( ( hAPP(c_Fun_Ocomp(_u20031, _u20033, _u20033, _u20035), c_Hilbert__Choice_Oinv__into(_u20031, _u20033, c_Orderings_Otop__class_Otop(tc_fun(_u20031, tc_HOL_Obool)), _u20035)) != c_Fun_Oid(_u20033)) | ( hAPP(c_Set_Oimage(_u20031, _u20033, _u20035), c_Orderings_Otop__class_Otop(tc_fun(_u20031, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20033, tc_HOL_Obool))) )).
% 12.54/12.80 cnf(matrix-8133, plain, ( ~c_Fun_Oinj__on(_u20037, _u20038, _u20039, c_Orderings_Otop__class_Otop(tc_fun(_u20037, tc_HOL_Obool))) | hBOOL(hAPP(_u20040, _u20041)) | hBOOL(hAPP(hAPP(c_member(_u20038), skolem559(_u20041, _u20040, _u20039, _u20038, _u20037)), hAPP(c_Set_Oimage(_u20037, _u20038, _u20039), c_Orderings_Otop__class_Otop(tc_fun(_u20037, tc_HOL_Obool))))) )).
% 12.54/12.80 cnf(matrix-8134, plain, ( ~c_Fun_Oinj__on(_u20037, _u20038, _u20039, c_Orderings_Otop__class_Otop(tc_fun(_u20037, tc_HOL_Obool))) | hBOOL(hAPP(_u20040, _u20041)) | ~hBOOL(hAPP(_u20040, hAPP(c_Hilbert__Choice_Oinv__into(_u20037, _u20038, c_Orderings_Otop__class_Otop(tc_fun(_u20037, tc_HOL_Obool)), _u20039), skolem559(_u20041, _u20040, _u20039, _u20038, _u20037)))) )).
% 12.54/12.80 cnf(matrix-8135, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20045) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20046), _u20047)) | hBOOL(hAPP(hAPP(c_member(_u20046), skolem560(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045)), _u20047)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20048, c_Groups_Otimes__class_Otimes(_u20045)), _u20050), c_Groups_Oone__class_Oone(_u20045)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20046, tc_fun(_u20048, tc_HOL_Obool)), _u20047), _u20049)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20046, c_Groups_Otimes__class_Otimes(_u20045)), hAPP(hAPP(c_COMBB(tc_fun(_u20048, tc_HOL_Obool), _u20045, _u20046), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20048, c_Groups_Otimes__class_Otimes(_u20045)), _u20050), c_Groups_Oone__class_Oone(_u20045))), _u20049)), c_Groups_Oone__class_Oone(_u20045)), _u20047)) | hBOOL(hAPP(hAPP(c_member(_u20046), skolem561(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045)), _u20047)) )).
% 12.54/12.80 cnf(matrix-8136, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20045) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20046), _u20047)) | hBOOL(hAPP(hAPP(c_member(_u20046), skolem560(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045)), _u20047)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20048, c_Groups_Otimes__class_Otimes(_u20045)), _u20050), c_Groups_Oone__class_Oone(_u20045)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20046, tc_fun(_u20048, tc_HOL_Obool)), _u20047), _u20049)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20046, c_Groups_Otimes__class_Otimes(_u20045)), hAPP(hAPP(c_COMBB(tc_fun(_u20048, tc_HOL_Obool), _u20045, _u20046), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20048, c_Groups_Otimes__class_Otimes(_u20045)), _u20050), c_Groups_Oone__class_Oone(_u20045))), _u20049)), c_Groups_Oone__class_Oone(_u20045)), _u20047)) | hBOOL(hAPP(hAPP(c_member(_u20046), skolem562(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045)), _u20047)) )).
% 12.54/12.80 cnf(matrix-8137, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20045) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20046), _u20047)) | hBOOL(hAPP(hAPP(c_member(_u20046), skolem560(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045)), _u20047)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20048, c_Groups_Otimes__class_Otimes(_u20045)), _u20050), c_Groups_Oone__class_Oone(_u20045)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20046, tc_fun(_u20048, tc_HOL_Obool)), _u20047), _u20049)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20046, c_Groups_Otimes__class_Otimes(_u20045)), hAPP(hAPP(c_COMBB(tc_fun(_u20048, tc_HOL_Obool), _u20045, _u20046), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20048, c_Groups_Otimes__class_Otimes(_u20045)), _u20050), c_Groups_Oone__class_Oone(_u20045))), _u20049)), c_Groups_Oone__class_Oone(_u20045)), _u20047)) | ( skolem561(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045) != skolem562(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045)) )).
% 12.54/12.80 cnf(matrix-8138, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20045) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20046), _u20047)) | hBOOL(hAPP(hAPP(c_member(_u20046), skolem560(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045)), _u20047)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20048, c_Groups_Otimes__class_Otimes(_u20045)), _u20050), c_Groups_Oone__class_Oone(_u20045)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20046, tc_fun(_u20048, tc_HOL_Obool)), _u20047), _u20049)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20046, c_Groups_Otimes__class_Otimes(_u20045)), hAPP(hAPP(c_COMBB(tc_fun(_u20048, tc_HOL_Obool), _u20045, _u20046), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20048, c_Groups_Otimes__class_Otimes(_u20045)), _u20050), c_Groups_Oone__class_Oone(_u20045))), _u20049)), c_Groups_Oone__class_Oone(_u20045)), _u20047)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20048, tc_HOL_Obool)), hAPP(_u20049, skolem561(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045))), hAPP(_u20049, skolem562(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045))) != c_Orderings_Obot__class_Obot(tc_fun(_u20048, tc_HOL_Obool))) )).
% 12.54/12.80 cnf(matrix-8139, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20045) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20046), _u20047)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20048), hAPP(_u20049, skolem560(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20048, c_Groups_Otimes__class_Otimes(_u20045)), _u20050), c_Groups_Oone__class_Oone(_u20045)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20046, tc_fun(_u20048, tc_HOL_Obool)), _u20047), _u20049)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20046, c_Groups_Otimes__class_Otimes(_u20045)), hAPP(hAPP(c_COMBB(tc_fun(_u20048, tc_HOL_Obool), _u20045, _u20046), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20048, c_Groups_Otimes__class_Otimes(_u20045)), _u20050), c_Groups_Oone__class_Oone(_u20045))), _u20049)), c_Groups_Oone__class_Oone(_u20045)), _u20047)) | hBOOL(hAPP(hAPP(c_member(_u20046), skolem561(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045)), _u20047)) )).
% 12.54/12.80 cnf(matrix-8140, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20045) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20046), _u20047)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20048), hAPP(_u20049, skolem560(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20048, c_Groups_Otimes__class_Otimes(_u20045)), _u20050), c_Groups_Oone__class_Oone(_u20045)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20046, tc_fun(_u20048, tc_HOL_Obool)), _u20047), _u20049)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20046, c_Groups_Otimes__class_Otimes(_u20045)), hAPP(hAPP(c_COMBB(tc_fun(_u20048, tc_HOL_Obool), _u20045, _u20046), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20048, c_Groups_Otimes__class_Otimes(_u20045)), _u20050), c_Groups_Oone__class_Oone(_u20045))), _u20049)), c_Groups_Oone__class_Oone(_u20045)), _u20047)) | hBOOL(hAPP(hAPP(c_member(_u20046), skolem562(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045)), _u20047)) )).
% 12.54/12.80 cnf(matrix-8141, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20045) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20046), _u20047)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20048), hAPP(_u20049, skolem560(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20048, c_Groups_Otimes__class_Otimes(_u20045)), _u20050), c_Groups_Oone__class_Oone(_u20045)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20046, tc_fun(_u20048, tc_HOL_Obool)), _u20047), _u20049)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20046, c_Groups_Otimes__class_Otimes(_u20045)), hAPP(hAPP(c_COMBB(tc_fun(_u20048, tc_HOL_Obool), _u20045, _u20046), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20048, c_Groups_Otimes__class_Otimes(_u20045)), _u20050), c_Groups_Oone__class_Oone(_u20045))), _u20049)), c_Groups_Oone__class_Oone(_u20045)), _u20047)) | ( skolem561(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045) != skolem562(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045)) )).
% 12.54/12.80 cnf(matrix-8142, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20045) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20046), _u20047)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20048), hAPP(_u20049, skolem560(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20048, c_Groups_Otimes__class_Otimes(_u20045)), _u20050), c_Groups_Oone__class_Oone(_u20045)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20046, tc_fun(_u20048, tc_HOL_Obool)), _u20047), _u20049)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20046, c_Groups_Otimes__class_Otimes(_u20045)), hAPP(hAPP(c_COMBB(tc_fun(_u20048, tc_HOL_Obool), _u20045, _u20046), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20045, _u20048, c_Groups_Otimes__class_Otimes(_u20045)), _u20050), c_Groups_Oone__class_Oone(_u20045))), _u20049)), c_Groups_Oone__class_Oone(_u20045)), _u20047)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20048, tc_HOL_Obool)), hAPP(_u20049, skolem561(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045))), hAPP(_u20049, skolem562(_u20050, _u20049, _u20048, _u20047, _u20046, _u20045))) != c_Orderings_Obot__class_Obot(tc_fun(_u20048, tc_HOL_Obool))) )).
% 12.54/12.80 cnf(matrix-8143, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20052), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u20053, hAPP(c_Code__Numeral_Onat__of, skolem563(_u20053, _u20052)))) | hBOOL(hAPP(_u20053, _u20052)) )).
% 12.54/12.80 cnf(matrix-8144, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20055), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u20055 = hAPP(c_Code__Numeral_Onat__of, skolem564(_u20055))) )).
% 12.54/12.80 cnf(matrix-8145, plain, ( hBOOL(hAPP(_u20057, _u20058)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem565(_u20058, _u20057)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.54/12.80 cnf(matrix-8146, plain, ( hBOOL(hAPP(_u20057, _u20058)) | ~hBOOL(hAPP(_u20057, hAPP(c_Code__Numeral_Oof__nat, skolem565(_u20058, _u20057)))) )).
% 12.54/12.80 cnf(matrix-8147, plain, ( ( _u20060 = hAPP(c_Code__Numeral_Oof__nat, skolem566(_u20060))) )).
% 12.54/12.80 cnf(matrix-8148, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem566(_u20060)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.54/12.80 cnf(matrix-8149, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20061, _u20062, _u20063, _u20064, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20062)) = _u20063) )).
% 12.54/12.80 cnf(matrix-8150, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u20067), _u20069)) | ( c_Quickcheck_Obeyond(_u20067, _u20069) = _u20069) )).
% 12.54/12.80 cnf(matrix-8151, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u20068), _u20070)) | ( c_Quickcheck_Obeyond(_u20068, _u20070) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 12.54/12.80 cnf(matrix-8152, plain, ( ( c_Quickcheck_Obeyond(_u20071, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 12.54/12.80 cnf(matrix-8153, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20072, _u20073, _u20074, _u20075, c_Lazy__Sequence_Olazy__sequence_OInsert(_u20073, _u20076, _u20077)) = hAPP(hAPP(hAPP(_u20075, _u20076), _u20077), c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20072, _u20073, _u20074, _u20075, _u20077))) )).
% 12.54/12.80 cnf(matrix-8154, plain, ( ~c_Fun_Obij__betw(_u20078, _u20079, _u20080, c_Orderings_Otop__class_Otop(tc_fun(_u20078, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20079, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20078, _u20079, _u20080), hAPP(c_Set_OCollect(_u20078), _u20081)) = hAPP(c_Set_OCollect(_u20079), hAPP(hAPP(c_COMBB(_u20078, tc_HOL_Obool, _u20079), _u20081), c_Hilbert__Choice_Oinv__into(_u20078, _u20079, c_Orderings_Otop__class_Otop(tc_fun(_u20078, tc_HOL_Obool)), _u20080)))) )).
% 12.54/12.80 cnf(matrix-8155, plain, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u20082, _u20083, _u20084, _u20085), _u20086), _u20087) = hAPP(_u20085, hAPP(hAPP(c_Product__Type_OPair(_u20082, _u20083), _u20086), _u20087))) )).
% 12.54/12.80 cnf(matrix-8156, plain, ( ~hBOOL(hAPP(_u20088, hAPP(hAPP(c_Product__Type_OPair(_u20089, _u20090), _u20091), _u20092))) | hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20089, _u20090, tc_HOL_Obool, _u20088), _u20091), _u20092)) )).
% 12.54/12.80 cnf(matrix-8157, plain, ( c_Fun_Obij__betw(_u20093, _u20093, c_Fun_Oid(_u20093), _u20094, _u20094) )).
% 12.54/12.80 cnf(matrix-8158, plain, ( ~c_Fun_Obij__betw(_u20095, _u20096, _u20097, c_Orderings_Otop__class_Otop(tc_fun(_u20095, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20096, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20096, _u20095, c_Hilbert__Choice_Oinv__into(_u20095, _u20096, c_Orderings_Otop__class_Otop(tc_fun(_u20095, tc_HOL_Obool)), _u20097), c_Orderings_Otop__class_Otop(tc_fun(_u20096, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20095, tc_HOL_Obool))) )).
% 12.54/12.80 cnf(matrix-8159, plain, ( ~c_Fun_Obij__betw(_u20098, _u20099, _u20100, c_Orderings_Otop__class_Otop(tc_fun(_u20098, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20099, tc_HOL_Obool))) | ( c_Hilbert__Choice_Oinv__into(_u20099, _u20098, c_Orderings_Otop__class_Otop(tc_fun(_u20099, tc_HOL_Obool)), c_Hilbert__Choice_Oinv__into(_u20098, _u20099, c_Orderings_Otop__class_Otop(tc_fun(_u20098, tc_HOL_Obool)), _u20100)) = _u20100) )).
% 12.54/12.80 cnf(matrix-8160, plain, ( ~c_Fun_Obij__betw(_u20101, _u20102, _u20103, _u20104, _u20105) | ~hBOOL(hAPP(hAPP(c_member(_u20101), _u20106), _u20104)) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20102, _u20101, _u20105, c_Hilbert__Choice_Oinv__into(_u20101, _u20102, _u20104, _u20103)), _u20106) = hAPP(_u20103, _u20106)) )).
% 12.54/12.80 cnf(matrix-8161, plain, ( ~c_Fun_Obij__betw(_u20107, _u20108, _u20109, _u20110, _u20111) | c_Fun_Obij__betw(_u20108, _u20107, c_Hilbert__Choice_Oinv__into(_u20107, _u20108, _u20110, _u20109), _u20111, _u20110) )).
% 12.54/12.80 cnf(matrix-8162, plain, ( ~c_Fun_Obij__betw(_u20112, _u20113, _u20114, c_Orderings_Otop__class_Otop(tc_fun(_u20112, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20113, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20115, _u20112, _u20116, c_Orderings_Otop__class_Otop(tc_fun(_u20115, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20112, tc_HOL_Obool))) | ( c_Hilbert__Choice_Oinv__into(_u20115, _u20113, c_Orderings_Otop__class_Otop(tc_fun(_u20115, tc_HOL_Obool)), hAPP(c_Fun_Ocomp(_u20112, _u20113, _u20115, _u20114), _u20116)) = hAPP(c_Fun_Ocomp(_u20112, _u20115, _u20113, c_Hilbert__Choice_Oinv__into(_u20115, _u20112, c_Orderings_Otop__class_Otop(tc_fun(_u20115, tc_HOL_Obool)), _u20116)), c_Hilbert__Choice_Oinv__into(_u20112, _u20113, c_Orderings_Otop__class_Otop(tc_fun(_u20112, tc_HOL_Obool)), _u20114))) )).
% 12.54/12.80 cnf(matrix-8163, plain, ( ~c_Fun_Obij__betw(_u20117, _u20118, _u20119, c_Orderings_Otop__class_Otop(tc_fun(_u20117, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20118, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20117, _u20118, _u20119), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20120, tc_fun(_u20117, tc_HOL_Obool)), _u20121), _u20122)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20120, tc_fun(_u20118, tc_HOL_Obool)), _u20121), hAPP(hAPP(c_COMBB(tc_fun(_u20117, tc_HOL_Obool), tc_fun(_u20118, tc_HOL_Obool), _u20120), c_Set_Oimage(_u20117, _u20118, _u20119)), _u20122))) )).
% 12.54/12.80 cnf(matrix-8164, plain, ( ~c_Fun_Obij__betw(_u20123, _u20124, _u20125, _u20126, _u20127) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20123, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20128, _u20123, _u20129), _u20130)), _u20126)) | ~c_Fun_Obij__betw(_u20128, _u20123, _u20129, _u20130, _u20126) | c_Fun_Obij__betw(_u20128, _u20124, hAPP(c_Fun_Ocomp(_u20123, _u20124, _u20128, _u20125), _u20129), _u20130, _u20127) )).
% 12.54/12.80 cnf(matrix-8165, plain, ( ~c_Fun_Obij__betw(_u20123, _u20124, _u20125, _u20126, _u20127) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20123, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20128, _u20123, _u20129), _u20130)), _u20126)) | ~c_Fun_Obij__betw(_u20128, _u20124, hAPP(c_Fun_Ocomp(_u20123, _u20124, _u20128, _u20125), _u20129), _u20130, _u20127) | c_Fun_Obij__betw(_u20128, _u20123, _u20129, _u20130, _u20126) )).
% 12.54/12.80 cnf(matrix-8166, plain, ( ~c_Fun_Obij__betw(_u20131, _u20132, _u20133, c_Orderings_Otop__class_Otop(tc_fun(_u20131, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20132, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20132, _u20134, _u20135, c_Orderings_Otop__class_Otop(tc_fun(_u20132, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20134, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20131, _u20134, hAPP(c_Fun_Ocomp(_u20132, _u20134, _u20131, _u20135), _u20133), c_Orderings_Otop__class_Otop(tc_fun(_u20131, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20134, tc_HOL_Obool))) )).
% 12.54/12.80 cnf(matrix-8167, plain, ( ~c_Fun_Obij__betw(_u20136, _u20137, _u20138, _u20139, _u20140) | ~c_Fun_Obij__betw(_u20137, _u20141, _u20142, _u20140, _u20143) | c_Fun_Obij__betw(_u20136, _u20141, hAPP(c_Fun_Ocomp(_u20137, _u20141, _u20136, _u20142), _u20138), _u20139, _u20143) )).
% 12.54/12.80 cnf(matrix-8168, plain, ( ~c_Fun_Obij__betw(_u20136, _u20137, _u20138, _u20139, _u20140) | ~c_Fun_Obij__betw(_u20136, _u20141, hAPP(c_Fun_Ocomp(_u20137, _u20141, _u20136, _u20142), _u20138), _u20139, _u20143) | c_Fun_Obij__betw(_u20137, _u20141, _u20142, _u20140, _u20143) )).
% 12.54/12.80 cnf(matrix-8169, plain, ( ~c_Fun_Obij__betw(_u20144, _u20145, _u20146, _u20147, _u20148) | ~c_Fun_Obij__betw(_u20145, _u20149, _u20150, _u20148, _u20151) | c_Fun_Obij__betw(_u20144, _u20149, hAPP(c_Fun_Ocomp(_u20145, _u20149, _u20144, _u20150), _u20146), _u20147, _u20151) )).
% 12.54/12.80 cnf(matrix-8170, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20152, _u20153, tc_HOL_Obool, _u20154), _u20155), _u20156)) | hBOOL(hAPP(_u20154, hAPP(hAPP(c_Product__Type_OPair(_u20152, _u20153), _u20155), _u20156))) )).
% 12.54/12.80 cnf(matrix-8171, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20157, _u20158, tc_HOL_Obool, _u20159), _u20160), _u20161)) | hBOOL(hAPP(_u20159, hAPP(hAPP(c_Product__Type_OPair(_u20157, _u20158), _u20160), _u20161))) )).
% 12.54/12.80 cnf(matrix-8172, plain, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u20162, _u20163, _u20164, _u20165), _u20166), _u20167) = hAPP(_u20165, hAPP(hAPP(c_Product__Type_OPair(_u20162, _u20163), _u20166), _u20167))) )).
% 12.54/12.80 cnf(matrix-8173, plain, ( ~c_Fun_Obij__betw(_u20168, _u20169, _u20170, c_Orderings_Otop__class_Otop(tc_fun(_u20168, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20169, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20168), hAPP(c_Set_Ovimage(_u20168, _u20169, _u20170), _u20171))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20169), _u20171)) )).
% 12.54/12.80 cnf(matrix-8174, plain, ( ~c_Fun_Obij__betw(_u20168, _u20169, _u20170, c_Orderings_Otop__class_Otop(tc_fun(_u20168, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20169, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20169), _u20171)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20168), hAPP(c_Set_Ovimage(_u20168, _u20169, _u20170), _u20171))) )).
% 12.54/12.80 cnf(matrix-8175, plain, ( ~c_Fun_Obij__betw(_u20172, _u20173, _u20174, c_Orderings_Otop__class_Otop(tc_fun(_u20172, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20173, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20172, _u20173, _u20174), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u20172, tc_HOL_Obool)), _u20175)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u20173, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20172, _u20173, _u20174), _u20175))) )).
% 12.54/12.80 cnf(matrix-8176, plain, ( ~c_Fun_Obij__betw(_u20176, _u20177, _u20178, c_Orderings_Otop__class_Otop(tc_fun(_u20176, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20177, tc_HOL_Obool))) | c_Fun_Oinj__on(_u20176, _u20177, _u20178, c_Orderings_Otop__class_Otop(tc_fun(_u20176, tc_HOL_Obool))) )).
% 12.54/12.80 cnf(matrix-8177, plain, ( ~c_Fun_Obij__betw(_u20179, _u20180, _u20181, _u20182, _u20183) | c_Fun_Oinj__on(_u20179, _u20180, _u20181, _u20182) )).
% 12.54/12.80 cnf(matrix-8178, plain, ( ~c_Fun_Obij__betw(_u20189, _u20191, _u20193, _u20195, _u20197) | c_Fun_Oinj__on(_u20189, _u20191, _u20193, _u20195) )).
% 12.54/12.80 cnf(matrix-8179, plain, ( ~c_Fun_Obij__betw(_u20189, _u20191, _u20193, _u20195, _u20197) | ( hAPP(c_Set_Oimage(_u20189, _u20191, _u20193), _u20195) = _u20197) )).
% 12.54/12.80 cnf(matrix-8180, plain, ( ~c_Fun_Oinj__on(_u20190, _u20192, _u20194, _u20196) | ( hAPP(c_Set_Oimage(_u20190, _u20192, _u20194), _u20196) != _u20198) | c_Fun_Obij__betw(_u20190, _u20192, _u20194, _u20196, _u20198) )).
% 12.54/12.80 cnf(matrix-8181, plain, ( ~c_Fun_Oinj__on(_u20199, _u20200, _u20201, _u20202) | c_Fun_Obij__betw(_u20199, _u20200, _u20201, _u20202, hAPP(c_Set_Oimage(_u20199, _u20200, _u20201), _u20202)) )).
% 12.54/12.80 cnf(matrix-8182, plain, ( ~c_Fun_Obij__betw(_u20203, _u20204, _u20205, _u20206, c_Orderings_Otop__class_Otop(tc_fun(_u20204, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20203, _u20204, _u20205), c_Orderings_Otop__class_Otop(tc_fun(_u20203, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20204, tc_HOL_Obool))) )).
% 12.54/12.80 cnf(matrix-8183, plain, ( ~c_Fun_Obij__betw(_u20207, _u20208, _u20209, c_Orderings_Otop__class_Otop(tc_fun(_u20207, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20208, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20207, _u20208, _u20209), c_Orderings_Otop__class_Otop(tc_fun(_u20207, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20208, tc_HOL_Obool))) )).
% 12.54/12.80 cnf(matrix-8184, plain, ( ~c_Fun_Obij__betw(_u20210, _u20211, _u20212, _u20213, _u20214) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20210, tc_HOL_Obool)), _u20215), _u20213)) | ( hAPP(c_Set_Oimage(_u20210, _u20211, _u20212), _u20215) != _u20216) | c_Fun_Obij__betw(_u20210, _u20211, _u20212, _u20215, _u20216) )).
% 12.54/12.80 cnf(matrix-8185, plain, ( c_Fun_Obij__betw(_u20217, _u20217, c_Fun_Oid(_u20217), c_Orderings_Otop__class_Otop(tc_fun(_u20217, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20217, tc_HOL_Obool))) )).
% 12.54/12.80 cnf(matrix-8186, plain, ( ( _u20223 = _u20225) | ~c_Fun_Obij__betw(_u20221, _u20221, c_Fun_Oid(_u20221), _u20223, _u20225) )).
% 12.54/12.80 cnf(matrix-8187, plain, ( ( _u20224 != _u20226) | c_Fun_Obij__betw(_u20222, _u20222, c_Fun_Oid(_u20222), _u20224, _u20226) )).
% 12.54/12.80 cnf(matrix-8188, plain, ( ~c_Fun_Obij__betw(_u20227, _u20228, _u20229, _u20230, _u20231) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20227), _u20230)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20228), _u20231)) )).
% 12.54/12.80 cnf(matrix-8189, plain, ( ~c_Fun_Obij__betw(_u20227, _u20228, _u20229, _u20230, _u20231) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20228), _u20231)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20227), _u20230)) )).
% 12.54/12.80 cnf(matrix-8190, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20234), _u20235)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20236), _u20237)) | ~c_Fun_Obij__betw(_u20234, _u20236, _u20232, _u20235, _u20237) | ( hAPP(c_Finite__Set_Ocard(_u20234), _u20235) = hAPP(c_Finite__Set_Ocard(_u20236), _u20237)) )).
% 12.54/12.80 cnf(matrix-8191, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20234), _u20235)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20236), _u20237)) | ( hAPP(c_Finite__Set_Ocard(_u20234), _u20235) != hAPP(c_Finite__Set_Ocard(_u20236), _u20237)) | c_Fun_Obij__betw(_u20234, _u20236, skolem567(_u20237, _u20236, _u20235, _u20234), _u20235, _u20237) )).
% 12.54/12.80 cnf(matrix-8192, plain, ( ( _u20241 = c_Orderings_Obot__class_Obot(tc_fun(_u20239, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20238, _u20239, _u20240, c_Orderings_Obot__class_Obot(tc_fun(_u20238, tc_HOL_Obool)), _u20241) )).
% 12.54/12.80 cnf(matrix-8193, plain, ( ~c_Fun_Obij__betw(_u20242, _u20243, _u20244, _u20245, c_Orderings_Obot__class_Obot(tc_fun(_u20243, tc_HOL_Obool))) | ( _u20245 = c_Orderings_Obot__class_Obot(tc_fun(_u20242, tc_HOL_Obool))) )).
% 12.54/12.80 cnf(matrix-8194, plain, ( ~c_Fun_Obij__betw(_u20246, _u20247, _u20248, _u20249, _u20250) | ( hAPP(c_Finite__Set_Ocard(_u20246), _u20249) = hAPP(c_Finite__Set_Ocard(_u20247), _u20250)) )).
% 12.54/12.80 cnf(matrix-8195, plain, ( ~c_Fun_Obij__betw(_u20251, _u20252, _u20253, _u20254, _u20255) | c_Fun_Obij__betw(_u20252, _u20251, c_Fun_Othe__inv__into(_u20251, _u20252, _u20254, _u20253), _u20255, _u20254) )).
% 12.54/12.80 cnf(matrix-8196, plain, ( ~c_Fun_Obij__betw(_u20256, _u20257, _u20258, _u20259, _u20260) | ~c_Fun_Obij__betw(_u20256, _u20257, _u20258, _u20261, _u20262) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20257, tc_HOL_Obool)), _u20260), _u20262) != c_Orderings_Obot__class_Obot(tc_fun(_u20257, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20256, _u20257, _u20258, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20256, tc_HOL_Obool)), _u20259), _u20261), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20257, tc_HOL_Obool)), _u20260), _u20262)) )).
% 12.54/12.80 cnf(matrix-8197, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20263, tc_HOL_Obool)), _u20264), _u20265) != c_Orderings_Obot__class_Obot(tc_fun(_u20263, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20266, tc_HOL_Obool)), _u20267), _u20268) != c_Orderings_Obot__class_Obot(tc_fun(_u20266, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20263, _u20266, _u20269, _u20264, _u20267) | ~c_Fun_Obij__betw(_u20263, _u20266, _u20269, _u20265, _u20268) | c_Fun_Obij__betw(_u20263, _u20266, _u20269, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20263, tc_HOL_Obool)), _u20264), _u20265), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20266, tc_HOL_Obool)), _u20267), _u20268)) )).
% 12.54/12.80 cnf(matrix-8198, plain, ( ~c_Fun_Obij__betw(_u20273, _u20275, _u20277, c_Orderings_Otop__class_Otop(tc_fun(_u20273, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20275, tc_HOL_Obool))) | c_Fun_Oinj__on(_u20273, _u20275, _u20277, c_Orderings_Otop__class_Otop(tc_fun(_u20273, tc_HOL_Obool))) )).
% 12.54/12.80 cnf(matrix-8199, plain, ( ~c_Fun_Obij__betw(_u20273, _u20275, _u20277, c_Orderings_Otop__class_Otop(tc_fun(_u20273, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20275, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20273, _u20275, _u20277), c_Orderings_Otop__class_Otop(tc_fun(_u20273, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20275, tc_HOL_Obool))) )).
% 12.54/12.80 cnf(matrix-8200, plain, ( ~c_Fun_Oinj__on(_u20274, _u20276, _u20278, c_Orderings_Otop__class_Otop(tc_fun(_u20274, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20274, _u20276, _u20278), c_Orderings_Otop__class_Otop(tc_fun(_u20274, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20276, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20274, _u20276, _u20278, c_Orderings_Otop__class_Otop(tc_fun(_u20274, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20276, tc_HOL_Obool))) )).
% 12.54/12.80 cnf(matrix-8201, plain, ( ~c_Fun_Oinj__on(_u20279, _u20280, _u20281, c_Orderings_Otop__class_Otop(tc_fun(_u20279, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20279, _u20280, _u20281), c_Orderings_Otop__class_Otop(tc_fun(_u20279, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20280, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20279, _u20280, _u20281, c_Orderings_Otop__class_Otop(tc_fun(_u20279, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20280, tc_HOL_Obool))) )).
% 12.54/12.80 cnf(matrix-8202, plain, ( ( c_Product__Type_Ocurry(_u20282, _u20283, _u20284, hAPP(c_Product__Type_Oprod_Oprod__case(_u20282, _u20283, _u20284), _u20285)) = _u20285) )).
% 12.54/12.80 cnf(matrix-8203, plain, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u20286, _u20287, _u20288), c_Product__Type_Ocurry(_u20286, _u20287, _u20288, _u20289)) = _u20289) )).
% 12.54/12.80 cnf(matrix-8204, plain, ( ~c_Fun_Obij__betw(_u20290, _u20291, _u20292, c_Orderings_Otop__class_Otop(tc_fun(_u20290, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20291, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20290, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u20290, _u20291, _u20292), _u20293)), _u20294)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20291, tc_HOL_Obool)), _u20293), hAPP(c_Set_Oimage(_u20290, _u20291, _u20292), _u20294))) )).
% 12.54/12.80 cnf(matrix-8205, plain, ( ~c_Fun_Obij__betw(_u20290, _u20291, _u20292, c_Orderings_Otop__class_Otop(tc_fun(_u20290, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20291, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20291, tc_HOL_Obool)), _u20293), hAPP(c_Set_Oimage(_u20290, _u20291, _u20292), _u20294))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20290, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u20290, _u20291, _u20292), _u20293)), _u20294)) )).
% 12.54/12.80 cnf(matrix-8206, plain, ( ~c_Fun_Obij__betw(_u20295, _u20296, _u20297, c_Orderings_Otop__class_Otop(tc_fun(_u20295, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20296, tc_HOL_Obool))) | ( hAPP(c_Set_Ovimage(_u20295, _u20296, _u20297), _u20298) = hAPP(c_Set_Oimage(_u20296, _u20295, c_Hilbert__Choice_Oinv__into(_u20295, _u20296, c_Orderings_Otop__class_Otop(tc_fun(_u20295, tc_HOL_Obool)), _u20297)), _u20298)) )).
% 12.54/12.80 cnf(matrix-8207, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20300), _u20301)) | c_Fun_Obij__betw(tc_Nat_Onat, _u20300, skolem568(_u20301, _u20300), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u20300), _u20301)), _u20301) )).
% 12.54/12.80 cnf(matrix-8208, plain, ( ~c_Fun_Oinj__on(_u20303, _u20304, _u20305, _u20306) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20304, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20303, _u20304, _u20305), _u20306)), _u20307)) | ~c_Fun_Oinj__on(_u20304, _u20303, _u20308, _u20307) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20303, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20304, _u20303, _u20308), _u20307)), _u20306)) | c_Fun_Obij__betw(_u20303, _u20304, skolem569(_u20308, _u20307, _u20306, _u20305, _u20304, _u20303), _u20306, _u20307) )).
% 12.54/12.80 cnf(matrix-8209, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20310), _u20311)) | c_Fun_Obij__betw(tc_Nat_Onat, _u20310, skolem570(_u20311, _u20310), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u20310), _u20311)), _u20311) )).
% 12.54/12.80 cnf(matrix-8210, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20313), _u20314)) | c_Fun_Obij__betw(_u20313, tc_Nat_Onat, skolem571(_u20314, _u20313), _u20314, hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u20313), _u20314))) )).
% 12.54/12.80 cnf(matrix-8211, plain, ( c_Relation_Orefl__on(_u20318, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20316, tc_fun(_u20318, tc_HOL_Obool)), _u20317), _u20319), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20316, tc_fun(tc_prod(_u20318, _u20318), tc_HOL_Obool)), _u20317), _u20320)) | hBOOL(hAPP(hAPP(c_member(_u20316), skolem572(_u20320, _u20319, _u20318, _u20317, _u20316)), _u20317)) )).
% 12.54/12.80 cnf(matrix-8212, plain, ( c_Relation_Orefl__on(_u20318, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20316, tc_fun(_u20318, tc_HOL_Obool)), _u20317), _u20319), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20316, tc_fun(tc_prod(_u20318, _u20318), tc_HOL_Obool)), _u20317), _u20320)) | ~c_Relation_Orefl__on(_u20318, hAPP(_u20319, skolem572(_u20320, _u20319, _u20318, _u20317, _u20316)), hAPP(_u20320, skolem572(_u20320, _u20319, _u20318, _u20317, _u20316))) )).
% 12.54/12.80 cnf(matrix-8213, plain, ( ~c_Equiv__Relations_Oequivp(_u20325, _u20326) | ~hBOOL(hAPP(hAPP(c_member(_u20325), _u20321), c_Quotient_ORespects(_u20325, _u20326))) | ~hBOOL(hAPP(_u20327, _u20321)) | hBOOL(hAPP(_u20327, skolem573(_u20327, _u20326, _u20325))) )).
% 12.54/12.80 cnf(matrix-8214, plain, ( ~c_Equiv__Relations_Oequivp(_u20325, _u20326) | ~hBOOL(hAPP(_u20327, _u20323)) | hBOOL(hAPP(hAPP(c_member(_u20325), skolem574(_u20327, _u20326, _u20325)), c_Quotient_ORespects(_u20325, _u20326))) )).
% 12.54/12.80 cnf(matrix-8215, plain, ( ~c_Equiv__Relations_Oequivp(_u20325, _u20326) | ~hBOOL(hAPP(_u20327, _u20323)) | hBOOL(hAPP(_u20327, skolem574(_u20327, _u20326, _u20325))) )).
% 12.54/12.80 cnf(matrix-8216, plain, ( hBOOL(hAPP(hAPP(_u20333, _u20335), _u20335)) | ~hBOOL(hAPP(c_Quotient_ORespects(_u20331, _u20333), _u20335)) )).
% 12.54/12.80 cnf(matrix-8217, plain, ( ~hBOOL(hAPP(hAPP(_u20334, _u20336), _u20336)) | hBOOL(hAPP(c_Quotient_ORespects(_u20332, _u20334), _u20336)) )).
% 12.54/12.80 cnf(matrix-8218, plain, ( hBOOL(hAPP(hAPP(_u20344, _u20342), _u20342)) | ~hBOOL(hAPP(hAPP(c_member(_u20340), _u20342), c_Quotient_ORespects(_u20340, _u20344))) )).
% 12.54/12.80 cnf(matrix-8219, plain, ( ~hBOOL(hAPP(hAPP(_u20345, _u20343), _u20343)) | hBOOL(hAPP(hAPP(c_member(_u20341), _u20343), c_Quotient_ORespects(_u20341, _u20345))) )).
% 12.54/12.80 cnf(matrix-8220, plain, ( ~c_Equiv__Relations_Oequivp(_u20349, _u20350) | hBOOL(hAPP(_u20351, skolem575(_u20352, _u20351, _u20350, _u20349))) | ~hBOOL(hAPP(_u20351, _u20347)) | hBOOL(hAPP(hAPP(c_member(_u20349), skolem576(_u20352, _u20351, _u20350, _u20349)), c_Quotient_ORespects(_u20349, _u20350))) )).
% 12.54/12.80 cnf(matrix-8221, plain, ( ~c_Equiv__Relations_Oequivp(_u20349, _u20350) | hBOOL(hAPP(_u20351, skolem575(_u20352, _u20351, _u20350, _u20349))) | ~hBOOL(hAPP(_u20351, _u20347)) | hBOOL(hAPP(_u20352, skolem576(_u20352, _u20351, _u20350, _u20349))) )).
% 12.54/12.80 cnf(matrix-8222, plain, ( ~c_Equiv__Relations_Oequivp(_u20349, _u20350) | ~hBOOL(hAPP(_u20352, skolem575(_u20352, _u20351, _u20350, _u20349))) | ~hBOOL(hAPP(_u20351, _u20347)) | hBOOL(hAPP(hAPP(c_member(_u20349), skolem576(_u20352, _u20351, _u20350, _u20349)), c_Quotient_ORespects(_u20349, _u20350))) )).
% 12.54/12.80 cnf(matrix-8223, plain, ( ~c_Equiv__Relations_Oequivp(_u20349, _u20350) | ~hBOOL(hAPP(_u20352, skolem575(_u20352, _u20351, _u20350, _u20349))) | ~hBOOL(hAPP(_u20351, _u20347)) | hBOOL(hAPP(_u20352, skolem576(_u20352, _u20351, _u20350, _u20349))) )).
% 12.54/12.80 cnf(matrix-8224, plain, ( ~c_Equiv__Relations_Oequivp(_u20353, _u20354) | ( c_Quotient_OBabs(_u20353, _u20355, c_Quotient_ORespects(_u20353, _u20354), _u20356) = _u20356) )).
% 12.54/12.80 cnf(matrix-8225, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20357), _u20358), _u20359)) | ( hAPP(c_Quotient_OBabs(_u20357, _u20360, _u20359, _u20361), _u20358) = hAPP(_u20361, _u20358)) )).
% 12.54/12.80 cnf(matrix-8226, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20365, _u20365)), hAPP(hAPP(c_Product__Type_OPair(_u20365, _u20365), hAPP(_u20366, hAPP(c_Nat_OSuc, skolem577(_u20367, _u20366, _u20365)))), hAPP(_u20366, skolem577(_u20367, _u20366, _u20365)))), c_Transitive__Closure_Ortrancl(_u20365, _u20367))) | ~c_Wellfounded_Owf(_u20365, c_Transitive__Closure_Otrancl(_u20365, _u20367)) | ( hAPP(_u20366, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem578(_u20367, _u20366, _u20365)), _u20363)) = hAPP(_u20366, skolem578(_u20367, _u20366, _u20365))) )).
% 12.54/12.80 cnf(matrix-8227, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20369, tc_HOL_Obool)), _u20370), _u20371)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20372, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20369, tc_fun(_u20372, tc_HOL_Obool)), _u20371), _u20373)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20369, tc_fun(_u20372, tc_HOL_Obool)), _u20371), _u20374))) | hBOOL(hAPP(hAPP(c_member(_u20369), skolem579(_u20374, _u20373, _u20372, _u20371, _u20370, _u20369)), _u20371)) )).
% 12.54/12.80 cnf(matrix-8228, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20369, tc_HOL_Obool)), _u20370), _u20371)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20372, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20369, tc_fun(_u20372, tc_HOL_Obool)), _u20371), _u20373)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20369, tc_fun(_u20372, tc_HOL_Obool)), _u20371), _u20374))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20372, tc_HOL_Obool)), hAPP(_u20373, skolem579(_u20374, _u20373, _u20372, _u20371, _u20370, _u20369))), hAPP(_u20374, skolem579(_u20374, _u20373, _u20372, _u20371, _u20370, _u20369)))) )).
% 12.54/12.80 cnf(matrix-8229, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20378, tc_HOL_Obool)), _u20379), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20376, tc_fun(_u20378, tc_HOL_Obool)), _u20377), _u20380))) | hBOOL(hAPP(hAPP(c_member(_u20376), skolem580(_u20380, _u20379, _u20378, _u20377, _u20376)), _u20377)) )).
% 12.54/12.80 cnf(matrix-8230, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20378, tc_HOL_Obool)), _u20379), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20376, tc_fun(_u20378, tc_HOL_Obool)), _u20377), _u20380))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20378, tc_HOL_Obool)), _u20379), hAPP(_u20380, skolem580(_u20380, _u20379, _u20378, _u20377, _u20376)))) )).
% 12.54/12.80 cnf(matrix-8231, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20385, _u20386), tc_prod(_u20385, _u20386))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20385, _u20386), tc_prod(_u20385, _u20386)), hAPP(hAPP(c_Product__Type_OPair(_u20385, _u20386), _u20387), _u20388)), hAPP(hAPP(c_Product__Type_OPair(_u20385, _u20386), _u20389), _u20390))), c_Transitive__Closure_Ortrancl(tc_prod(_u20385, _u20386), _u20391))) | ~hBOOL(hAPP(hAPP(_u20392, _u20387), _u20388)) | hBOOL(hAPP(hAPP(_u20392, _u20389), _u20390)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20385, _u20386), tc_prod(_u20385, _u20386))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20385, _u20386), tc_prod(_u20385, _u20386)), hAPP(hAPP(c_Product__Type_OPair(_u20385, _u20386), _u20387), _u20388)), hAPP(hAPP(c_Product__Type_OPair(_u20385, _u20386), skolem581(_u20392, _u20391, _u20390, _u20389, _u20388, _u20387, _u20386, _u20385)), skolem582(_u20392, _u20391, _u20390, _u20389, _u20388, _u20387, _u20386, _u20385)))), c_Transitive__Closure_Ortrancl(tc_prod(_u20385, _u20386), _u20391))) )).
% 12.54/12.80 cnf(matrix-8232, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20385, _u20386), tc_prod(_u20385, _u20386))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20385, _u20386), tc_prod(_u20385, _u20386)), hAPP(hAPP(c_Product__Type_OPair(_u20385, _u20386), _u20387), _u20388)), hAPP(hAPP(c_Product__Type_OPair(_u20385, _u20386), _u20389), _u20390))), c_Transitive__Closure_Ortrancl(tc_prod(_u20385, _u20386), _u20391))) | ~hBOOL(hAPP(hAPP(_u20392, _u20387), _u20388)) | hBOOL(hAPP(hAPP(_u20392, _u20389), _u20390)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20385, _u20386), tc_prod(_u20385, _u20386))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20385, _u20386), tc_prod(_u20385, _u20386)), hAPP(hAPP(c_Product__Type_OPair(_u20385, _u20386), skolem581(_u20392, _u20391, _u20390, _u20389, _u20388, _u20387, _u20386, _u20385)), skolem582(_u20392, _u20391, _u20390, _u20389, _u20388, _u20387, _u20386, _u20385))), hAPP(hAPP(c_Product__Type_OPair(_u20385, _u20386), skolem583(_u20392, _u20391, _u20390, _u20389, _u20388, _u20387, _u20386, _u20385)), skolem584(_u20392, _u20391, _u20390, _u20389, _u20388, _u20387, _u20386, _u20385)))), _u20391)) )).
% 12.54/12.80 cnf(matrix-8233, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20385, _u20386), tc_prod(_u20385, _u20386))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20385, _u20386), tc_prod(_u20385, _u20386)), hAPP(hAPP(c_Product__Type_OPair(_u20385, _u20386), _u20387), _u20388)), hAPP(hAPP(c_Product__Type_OPair(_u20385, _u20386), _u20389), _u20390))), c_Transitive__Closure_Ortrancl(tc_prod(_u20385, _u20386), _u20391))) | ~hBOOL(hAPP(hAPP(_u20392, _u20387), _u20388)) | hBOOL(hAPP(hAPP(_u20392, _u20389), _u20390)) | hBOOL(hAPP(hAPP(_u20392, skolem581(_u20392, _u20391, _u20390, _u20389, _u20388, _u20387, _u20386, _u20385)), skolem582(_u20392, _u20391, _u20390, _u20389, _u20388, _u20387, _u20386, _u20385))) )).
% 12.54/12.80 cnf(matrix-8234, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20385, _u20386), tc_prod(_u20385, _u20386))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20385, _u20386), tc_prod(_u20385, _u20386)), hAPP(hAPP(c_Product__Type_OPair(_u20385, _u20386), _u20387), _u20388)), hAPP(hAPP(c_Product__Type_OPair(_u20385, _u20386), _u20389), _u20390))), c_Transitive__Closure_Ortrancl(tc_prod(_u20385, _u20386), _u20391))) | ~hBOOL(hAPP(hAPP(_u20392, _u20387), _u20388)) | hBOOL(hAPP(hAPP(_u20392, _u20389), _u20390)) | ~hBOOL(hAPP(hAPP(_u20392, skolem583(_u20392, _u20391, _u20390, _u20389, _u20388, _u20387, _u20386, _u20385)), skolem584(_u20392, _u20391, _u20390, _u20389, _u20388, _u20387, _u20386, _u20385))) )).
% 12.54/12.80 cnf(matrix-8235, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20395, _u20396), tc_prod(_u20395, _u20396))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20395, _u20396), tc_prod(_u20395, _u20396)), hAPP(hAPP(c_Product__Type_OPair(_u20395, _u20396), _u20397), _u20398)), hAPP(hAPP(c_Product__Type_OPair(_u20395, _u20396), _u20399), _u20400))), c_Transitive__Closure_Ortrancl(tc_prod(_u20395, _u20396), _u20401))) | ( hAPP(hAPP(c_Product__Type_OPair(_u20395, _u20396), _u20397), _u20398) = hAPP(hAPP(c_Product__Type_OPair(_u20395, _u20396), _u20399), _u20400)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20395, _u20396), tc_prod(_u20395, _u20396))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20395, _u20396), tc_prod(_u20395, _u20396)), hAPP(hAPP(c_Product__Type_OPair(_u20395, _u20396), _u20397), _u20398)), hAPP(hAPP(c_Product__Type_OPair(_u20395, _u20396), skolem585(_u20401, _u20400, _u20399, _u20398, _u20397, _u20396, _u20395)), skolem586(_u20401, _u20400, _u20399, _u20398, _u20397, _u20396, _u20395)))), _u20401)) )).
% 12.54/12.80 cnf(matrix-8236, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20395, _u20396), tc_prod(_u20395, _u20396))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20395, _u20396), tc_prod(_u20395, _u20396)), hAPP(hAPP(c_Product__Type_OPair(_u20395, _u20396), _u20397), _u20398)), hAPP(hAPP(c_Product__Type_OPair(_u20395, _u20396), _u20399), _u20400))), c_Transitive__Closure_Ortrancl(tc_prod(_u20395, _u20396), _u20401))) | ( hAPP(hAPP(c_Product__Type_OPair(_u20395, _u20396), _u20397), _u20398) = hAPP(hAPP(c_Product__Type_OPair(_u20395, _u20396), _u20399), _u20400)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20395, _u20396), tc_prod(_u20395, _u20396))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20395, _u20396), tc_prod(_u20395, _u20396)), hAPP(hAPP(c_Product__Type_OPair(_u20395, _u20396), skolem585(_u20401, _u20400, _u20399, _u20398, _u20397, _u20396, _u20395)), skolem586(_u20401, _u20400, _u20399, _u20398, _u20397, _u20396, _u20395))), hAPP(hAPP(c_Product__Type_OPair(_u20395, _u20396), _u20399), _u20400))), c_Transitive__Closure_Ortrancl(tc_prod(_u20395, _u20396), _u20401))) )).
% 12.54/12.80 cnf(matrix-8237, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20406, _u20407), tc_prod(_u20406, _u20407))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20406, _u20407), tc_prod(_u20406, _u20407)), hAPP(hAPP(c_Product__Type_OPair(_u20406, _u20407), _u20408), _u20409)), hAPP(hAPP(c_Product__Type_OPair(_u20406, _u20407), _u20410), _u20411))), c_Transitive__Closure_Ortrancl(tc_prod(_u20406, _u20407), _u20412))) | ~hBOOL(hAPP(hAPP(_u20413, _u20410), _u20411)) | hBOOL(hAPP(hAPP(_u20413, _u20408), _u20409)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20406, _u20407), tc_prod(_u20406, _u20407))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20406, _u20407), tc_prod(_u20406, _u20407)), hAPP(hAPP(c_Product__Type_OPair(_u20406, _u20407), skolem587(_u20413, _u20412, _u20411, _u20410, _u20409, _u20408, _u20407, _u20406)), skolem588(_u20413, _u20412, _u20411, _u20410, _u20409, _u20408, _u20407, _u20406))), hAPP(hAPP(c_Product__Type_OPair(_u20406, _u20407), skolem589(_u20413, _u20412, _u20411, _u20410, _u20409, _u20408, _u20407, _u20406)), skolem590(_u20413, _u20412, _u20411, _u20410, _u20409, _u20408, _u20407, _u20406)))), _u20412)) )).
% 12.54/12.80 cnf(matrix-8238, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20406, _u20407), tc_prod(_u20406, _u20407))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20406, _u20407), tc_prod(_u20406, _u20407)), hAPP(hAPP(c_Product__Type_OPair(_u20406, _u20407), _u20408), _u20409)), hAPP(hAPP(c_Product__Type_OPair(_u20406, _u20407), _u20410), _u20411))), c_Transitive__Closure_Ortrancl(tc_prod(_u20406, _u20407), _u20412))) | ~hBOOL(hAPP(hAPP(_u20413, _u20410), _u20411)) | hBOOL(hAPP(hAPP(_u20413, _u20408), _u20409)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20406, _u20407), tc_prod(_u20406, _u20407))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20406, _u20407), tc_prod(_u20406, _u20407)), hAPP(hAPP(c_Product__Type_OPair(_u20406, _u20407), skolem589(_u20413, _u20412, _u20411, _u20410, _u20409, _u20408, _u20407, _u20406)), skolem590(_u20413, _u20412, _u20411, _u20410, _u20409, _u20408, _u20407, _u20406))), hAPP(hAPP(c_Product__Type_OPair(_u20406, _u20407), _u20410), _u20411))), c_Transitive__Closure_Ortrancl(tc_prod(_u20406, _u20407), _u20412))) )).
% 12.54/12.80 cnf(matrix-8239, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20406, _u20407), tc_prod(_u20406, _u20407))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20406, _u20407), tc_prod(_u20406, _u20407)), hAPP(hAPP(c_Product__Type_OPair(_u20406, _u20407), _u20408), _u20409)), hAPP(hAPP(c_Product__Type_OPair(_u20406, _u20407), _u20410), _u20411))), c_Transitive__Closure_Ortrancl(tc_prod(_u20406, _u20407), _u20412))) | ~hBOOL(hAPP(hAPP(_u20413, _u20410), _u20411)) | hBOOL(hAPP(hAPP(_u20413, _u20408), _u20409)) | hBOOL(hAPP(hAPP(_u20413, skolem589(_u20413, _u20412, _u20411, _u20410, _u20409, _u20408, _u20407, _u20406)), skolem590(_u20413, _u20412, _u20411, _u20410, _u20409, _u20408, _u20407, _u20406))) )).
% 12.54/12.80 cnf(matrix-8240, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20406, _u20407), tc_prod(_u20406, _u20407))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20406, _u20407), tc_prod(_u20406, _u20407)), hAPP(hAPP(c_Product__Type_OPair(_u20406, _u20407), _u20408), _u20409)), hAPP(hAPP(c_Product__Type_OPair(_u20406, _u20407), _u20410), _u20411))), c_Transitive__Closure_Ortrancl(tc_prod(_u20406, _u20407), _u20412))) | ~hBOOL(hAPP(hAPP(_u20413, _u20410), _u20411)) | hBOOL(hAPP(hAPP(_u20413, _u20408), _u20409)) | ~hBOOL(hAPP(hAPP(_u20413, skolem587(_u20413, _u20412, _u20411, _u20410, _u20409, _u20408, _u20407, _u20406)), skolem588(_u20413, _u20412, _u20411, _u20410, _u20409, _u20408, _u20407, _u20406))) )).
% 12.54/12.80 cnf(matrix-8241, plain, ( c_Equiv__Relations_Ocongruent(_u20416, _u20419, _u20417, _u20418) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20416, _u20416)), hAPP(hAPP(c_Product__Type_OPair(_u20416, _u20416), skolem591(_u20419, _u20418, _u20417, _u20416)), skolem592(_u20419, _u20418, _u20417, _u20416))), _u20417)) )).
% 12.54/12.80 cnf(matrix-8242, plain, ( c_Equiv__Relations_Ocongruent(_u20416, _u20419, _u20417, _u20418) | ( hAPP(_u20418, skolem591(_u20419, _u20418, _u20417, _u20416)) != hAPP(_u20418, skolem592(_u20419, _u20418, _u20417, _u20416))) )).
% 12.54/12.80 cnf(matrix-8243, plain, ( c_Equiv__Relations_Ocongruent2(_u20424, _u20426, _u20429, _u20425, _u20427, _u20428) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20424, _u20424)), hAPP(hAPP(c_Product__Type_OPair(_u20424, _u20424), skolem593(_u20429, _u20428, _u20427, _u20426, _u20425, _u20424)), skolem594(_u20429, _u20428, _u20427, _u20426, _u20425, _u20424))), _u20425)) )).
% 12.54/12.80 cnf(matrix-8244, plain, ( c_Equiv__Relations_Ocongruent2(_u20424, _u20426, _u20429, _u20425, _u20427, _u20428) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20426, _u20426)), hAPP(hAPP(c_Product__Type_OPair(_u20426, _u20426), skolem595(_u20429, _u20428, _u20427, _u20426, _u20425, _u20424)), skolem596(_u20429, _u20428, _u20427, _u20426, _u20425, _u20424))), _u20427)) )).
% 12.54/12.80 cnf(matrix-8245, plain, ( c_Equiv__Relations_Ocongruent2(_u20424, _u20426, _u20429, _u20425, _u20427, _u20428) | ( hAPP(hAPP(_u20428, skolem593(_u20429, _u20428, _u20427, _u20426, _u20425, _u20424)), skolem595(_u20429, _u20428, _u20427, _u20426, _u20425, _u20424)) != hAPP(hAPP(_u20428, skolem594(_u20429, _u20428, _u20427, _u20426, _u20425, _u20424)), skolem596(_u20429, _u20428, _u20427, _u20426, _u20425, _u20424))) )).
% 12.54/12.80 cnf(matrix-8246, plain, ( ( c_Lazy__Sequence_Oflat(_u20430, c_Lazy__Sequence_Olazy__sequence_OInsert(tc_Lazy__Sequence_Olazy__sequence(_u20430), _u20431, _u20432)) = c_Lazy__Sequence_Oappend(_u20430, _u20431, c_Lazy__Sequence_Oflat(_u20430, _u20432))) )).
% 12.54/12.80 cnf(matrix-8247, plain, ( ~c_List_Oall__interval__nat(_u20438, _u20440, _u20442) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20433), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20440), _u20442))) | hBOOL(hAPP(_u20438, _u20433)) )).
% 12.54/12.80 cnf(matrix-8248, plain, ( c_List_Oall__interval__nat(_u20439, _u20441, _u20443) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem597(_u20443, _u20441, _u20439)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20441), _u20443))) )).
% 12.54/12.80 cnf(matrix-8249, plain, ( c_List_Oall__interval__nat(_u20439, _u20441, _u20443) | ~hBOOL(hAPP(_u20439, skolem597(_u20443, _u20441, _u20439))) )).
% 12.54/12.80 cnf(matrix-8250, plain, ( ( c_Lazy__Sequence_Oflat(_u20444, c_Lazy__Sequence_Olazy__sequence_OEmpty(tc_Lazy__Sequence_Olazy__sequence(_u20444))) = c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20444)) )).
% 12.54/12.80 cnf(matrix-8251, plain, ( ~c_List_Olist__all(tc_Nat_Onat, _u20448, c_List_Oupt(_u20450, _u20452)) | c_List_Oall__interval__nat(_u20448, _u20450, _u20452) )).
% 12.54/12.80 cnf(matrix-8252, plain, ( ~c_List_Oall__interval__nat(_u20449, _u20451, _u20453) | c_List_Olist__all(tc_Nat_Onat, _u20449, c_List_Oupt(_u20451, _u20453)) )).
% 12.54/12.80 cnf(matrix-8253, plain, ( ~c_List_Olist__ex(tc_Nat_Onat, _u20457, c_List_Oupt(_u20459, _u20461)) | ~c_List_Oall__interval__nat(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat, c_fNot), _u20457), _u20459, _u20461) )).
% 12.54/12.80 cnf(matrix-8254, plain, ( c_List_Oall__interval__nat(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat, c_fNot), _u20458), _u20460, _u20462) | c_List_Olist__ex(tc_Nat_Onat, _u20458, c_List_Oupt(_u20460, _u20462)) )).
% 12.54/12.80 cnf(matrix-8255, plain, ( ( hAPP(c_Lazy__Sequence_Obind(_u20463, _u20464, _u20465), _u20466) = c_Lazy__Sequence_Oflat(_u20464, c_Lazy__Sequence_Omap(_u20463, tc_Lazy__Sequence_Olazy__sequence(_u20464), _u20466, _u20465))) )).
% 12.54/12.80 cnf(matrix-8256, plain, ( ~c_Finite__Set_Ofolding__image(_u20468, _u20469, _u20470, _u20471, _u20472) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20469), _u20473)) | ( hAPP(hAPP(_u20472, _u20474), _u20473) = hAPP(hAPP(_u20472, _u20475), _u20473)) | hBOOL(hAPP(hAPP(c_member(_u20469), skolem598(_u20475, _u20474, _u20473, _u20472, _u20471, _u20470, _u20469)), _u20473)) )).
% 12.54/12.80 cnf(matrix-8257, plain, ( ~c_Finite__Set_Ofolding__image(_u20468, _u20469, _u20470, _u20471, _u20472) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20469), _u20473)) | ( hAPP(hAPP(_u20472, _u20474), _u20473) = hAPP(hAPP(_u20472, _u20475), _u20473)) | ( hAPP(_u20474, skolem598(_u20475, _u20474, _u20473, _u20472, _u20471, _u20470, _u20469)) != hAPP(_u20475, skolem598(_u20475, _u20474, _u20473, _u20472, _u20471, _u20470, _u20469))) )).
% 12.54/12.80 cnf(matrix-8258, plain, ( ( c_Lazy__Sequence_Omap(_u20476, _u20477, _u20478, c_Lazy__Sequence_Olazy__sequence_OInsert(_u20476, _u20479, _u20480)) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u20477, hAPP(_u20478, _u20479), c_Lazy__Sequence_Omap(_u20476, _u20477, _u20478, _u20480))) )).
% 12.54/12.80 cnf(matrix-8259, plain, ( ( c_Lazy__Sequence_Omap(_u20481, _u20482, _u20483, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20481)) = c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20482)) )).
% 12.54/12.80 cnf(matrix-8260, plain, ( ( c_New__DSequence_Opos__map(_u20484, _u20485, _u20486, _u20487, _u20488) = c_Lazy__Sequence_Omap(_u20484, _u20485, _u20486, hAPP(_u20487, _u20488))) )).
% 12.54/12.80 cnf(matrix-8261, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u20489), _u20490)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u20489), _u20491))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u20489)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20490), _u20491)) )).
% 12.54/12.80 cnf(matrix-8262, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20492), _u20492)) )).
% 12.54/12.80 cnf(matrix-8263, plain, ( ~class_Rings_Ocomm__semiring__1(_u20493) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20493), _u20494), c_Groups_Ozero__class_Ozero(_u20493))) )).
% 12.54/12.80 cnf(matrix-8264, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u20495)) )).
% 12.54/12.80 cnf(matrix-8265, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20496), _u20497)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20497)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20496), _u20497)) )).
% 12.54/12.80 cnf(matrix-8266, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20498)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20498), _u20499)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20498), _u20500))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20499), _u20500)) )).
% 12.54/12.80 cnf(matrix-8267, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20498)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20499), _u20500)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20498), _u20499)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20498), _u20500))) )).
% 12.54/12.80 cnf(matrix-8268, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20501), _u20502)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20501), _u20503))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20501)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20502), _u20503)) )).
% 12.54/12.80 cnf(matrix-8269, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20504) | ~class_Rings_Odvd(_u20504) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20505), _u20506)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20505, tc_HOL_Obool)), _u20507), _u20506)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20504), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20505, _u20504), _u20508), _u20507)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20505, _u20504), _u20508), _u20506))) )).
% 12.54/12.80 cnf(matrix-8270, plain, ( ~class_Rings_Ocomm__ring(_u20511) | ~class_Rings_Odvd(_u20511) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20511), _u20512), _u20513)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20511), _u20512), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20511), _u20517), _u20514))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20511), _u20512), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20511), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20511), _u20517), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20511), _u20515), _u20513))), _u20514))) )).
% 12.54/12.80 cnf(matrix-8271, plain, ( ~class_Rings_Ocomm__ring(_u20511) | ~class_Rings_Odvd(_u20511) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20511), _u20512), _u20513)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20511), _u20512), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20511), _u20518), _u20514))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20511), _u20512), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20511), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20511), _u20518), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20511), _u20516), _u20513))), _u20514))) )).
% 12.54/12.80 cnf(matrix-8272, plain, ( ~class_Rings_Ocomm__ring(_u20521) | ~class_Rings_Odvd(_u20521) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20521), _u20522), _u20523)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20521), _u20522), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20521), _u20527), _u20524))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20521), _u20522), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20521), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20521), _u20527), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20521), _u20525), _u20523))), _u20524))) )).
% 12.54/12.80 cnf(matrix-8273, plain, ( ~class_Rings_Ocomm__ring(_u20521) | ~class_Rings_Odvd(_u20521) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20521), _u20522), _u20523)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20521), _u20522), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20521), _u20528), _u20524))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20521), _u20522), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20521), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20521), _u20528), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20521), _u20526), _u20523))), _u20524))) )).
% 12.54/12.80 cnf(matrix-8274, plain, ( ~class_Divides_Osemiring__div(_u20529) | ( _u20530 = c_Groups_Ozero__class_Ozero(_u20529)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20529), _u20530), _u20531)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20529), _u20531), _u20530) != _u20532) | ( _u20531 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20529), _u20532), _u20530)) )).
% 12.54/12.80 cnf(matrix-8275, plain, ( ~class_Divides_Osemiring__div(_u20529) | ( _u20530 = c_Groups_Ozero__class_Ozero(_u20529)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20529), _u20530), _u20531)) | ( _u20531 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20529), _u20532), _u20530)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20529), _u20531), _u20530) = _u20532) )).
% 12.54/12.80 cnf(matrix-8276, plain, ( ~class_Divides_Osemiring__div(_u20533) | ( _u20534 = c_Groups_Ozero__class_Ozero(_u20533)) | ( _u20535 = c_Groups_Ozero__class_Ozero(_u20533)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20533), _u20534), _u20536)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20533), _u20535), _u20537)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20533), _u20536), _u20534) != hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20533), _u20537), _u20535)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20533), _u20536), _u20535) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20533), _u20534), _u20537)) )).
% 12.54/12.80 cnf(matrix-8277, plain, ( ~class_Divides_Osemiring__div(_u20533) | ( _u20534 = c_Groups_Ozero__class_Ozero(_u20533)) | ( _u20535 = c_Groups_Ozero__class_Ozero(_u20533)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20533), _u20534), _u20536)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20533), _u20535), _u20537)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20533), _u20536), _u20535) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20533), _u20534), _u20537)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20533), _u20536), _u20534) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20533), _u20537), _u20535)) )).
% 12.54/12.80 cnf(matrix-8278, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20541), _u20543)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20541), _u20545))) | ( _u20541 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20543), _u20545)) )).
% 12.54/12.80 cnf(matrix-8279, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20542), _u20544)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20542), _u20546))) | ( _u20542 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.54/12.80 cnf(matrix-8280, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20542), _u20544)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20542), _u20546))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20544), _u20546)) )).
% 12.54/12.80 cnf(matrix-8281, plain, ( ~class_Divides_Osemiring__div(_u20547) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20547), _u20548), _u20549)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20547), _u20550), _u20551)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20547), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20547), _u20549), _u20548)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20547), _u20551), _u20550)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20547), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20547), _u20549), _u20551)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20547), _u20548), _u20550))) )).
% 12.54/12.80 cnf(matrix-8282, plain, ( ~class_Divides_Osemiring__div(_u20552) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20552), _u20553), _u20554)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20552), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20552), _u20554), _u20553)), _u20555) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20552), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20552), _u20554), _u20555)), _u20553)) )).
% 12.54/12.80 cnf(matrix-8283, plain, ( ~class_Divides_Osemiring__div(_u20556) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20556), _u20557), _u20558)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20556), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20556), _u20558), _u20557)), _u20557) = _u20558) )).
% 12.54/12.80 cnf(matrix-8284, plain, ( ~class_Divides_Osemiring__div(_u20559) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20559), _u20560), _u20561)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20559), _u20562), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20559), _u20561), _u20560)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20559), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20559), _u20562), _u20561)), _u20560)) )).
% 12.54/12.80 cnf(matrix-8285, plain, ( ~class_Divides_Osemiring__div(_u20563) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20563), _u20564), _u20565)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20563), _u20564), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20563), _u20565), _u20564)) = _u20565) )).
% 12.54/12.80 cnf(matrix-8286, plain, ( ~class_Rings_Ocomm__semiring__1(_u20566) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20566), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20566), _u20567), _u20568)), _u20569)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20566), _u20568), _u20569)) )).
% 12.54/12.80 cnf(matrix-8287, plain, ( ~class_Rings_Ocomm__semiring__1(_u20570) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20570), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20570), _u20571), _u20572)), _u20573)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20570), _u20571), _u20573)) )).
% 12.54/12.80 cnf(matrix-8288, plain, ( ~class_Rings_Odvd(_u20574) | ( _u20575 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20574), _u20576), _u20577)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20574), _u20576), _u20575)) )).
% 12.54/12.80 cnf(matrix-8289, plain, ( ~class_Rings_Ocomm__semiring__1(_u20578) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20578), _u20579), _u20580)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20578), _u20581), _u20582)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20578), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20578), _u20579), _u20581)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20578), _u20580), _u20582))) )).
% 12.54/12.80 cnf(matrix-8290, plain, ( ~class_Rings_Ocomm__semiring__1(_u20583) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20583), _u20584), _u20585)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20583), _u20584), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20583), _u20586), _u20585))) )).
% 12.54/12.80 cnf(matrix-8291, plain, ( ~class_Rings_Ocomm__semiring__1(_u20587) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20587), _u20588), _u20589)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20587), _u20588), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20587), _u20589), _u20590))) )).
% 12.54/12.80 cnf(matrix-8292, plain, ( ~class_Rings_Ocomm__semiring__1(_u20591) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20591), _u20592), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20591), _u20593), _u20592))) )).
% 12.54/12.80 cnf(matrix-8293, plain, ( ~class_Rings_Ocomm__semiring__1(_u20594) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20594), _u20595), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20594), _u20595), _u20596))) )).
% 12.54/12.80 cnf(matrix-8294, plain, ( ~class_Rings_Oidom(_u20597) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20597), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20597), _u20598), _u20599)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20597), _u20598), _u20600))) | ( _u20598 = c_Groups_Ozero__class_Ozero(_u20597)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20597), _u20599), _u20600)) )).
% 12.54/12.80 cnf(matrix-8295, plain, ( ~class_Rings_Oidom(_u20597) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20597), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20597), _u20598), _u20599)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20597), _u20598), _u20600))) | ( _u20598 != c_Groups_Ozero__class_Ozero(_u20597)) )).
% 12.54/12.80 cnf(matrix-8296, plain, ( ~class_Rings_Oidom(_u20597) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20597), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20597), _u20598), _u20599)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20597), _u20598), _u20600))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20597), _u20599), _u20600)) )).
% 12.54/12.80 cnf(matrix-8297, plain, ( ~class_Rings_Oidom(_u20601) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20601), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20601), _u20602), _u20603)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20601), _u20604), _u20603))) | ( _u20603 = c_Groups_Ozero__class_Ozero(_u20601)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20601), _u20602), _u20604)) )).
% 12.54/12.80 cnf(matrix-8298, plain, ( ~class_Rings_Oidom(_u20601) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20601), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20601), _u20602), _u20603)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20601), _u20604), _u20603))) | ( _u20603 != c_Groups_Ozero__class_Ozero(_u20601)) )).
% 12.54/12.80 cnf(matrix-8299, plain, ( ~class_Rings_Oidom(_u20601) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20601), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20601), _u20602), _u20603)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20601), _u20604), _u20603))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20601), _u20602), _u20604)) )).
% 12.54/12.80 cnf(matrix-8300, plain, ( ~class_Rings_Odvd(_u20609) | ~class_Rings_Osemiring__0(_u20609) | ~hBOOL(hAPP(_u20610, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20609), _u20611), _u20605))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20609), _u20611), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20609), skolem599(_u20611, _u20610, _u20609)), c_Groups_Ozero__class_Ozero(_u20609)))) )).
% 12.54/12.80 cnf(matrix-8301, plain, ( ~class_Rings_Odvd(_u20609) | ~class_Rings_Osemiring__0(_u20609) | ~hBOOL(hAPP(_u20610, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20609), _u20611), _u20605))) | hBOOL(hAPP(_u20610, skolem599(_u20611, _u20610, _u20609))) )).
% 12.54/12.80 cnf(matrix-8302, plain, ( ~class_Rings_Odvd(_u20609) | ~class_Rings_Osemiring__0(_u20609) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20609), _u20611), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20609), _u20607), c_Groups_Ozero__class_Ozero(_u20609)))) | ~hBOOL(hAPP(_u20610, _u20607)) | hBOOL(hAPP(_u20610, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20609), _u20611), skolem600(_u20611, _u20610, _u20609)))) )).
% 12.54/12.80 cnf(matrix-8303, plain, ( ~class_Rings_Ocomm__semiring__1(_u20612) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20613), _u20614)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20612), hAPP(hAPP(c_Power_Opower__class_Opower(_u20612), _u20615), _u20613)), hAPP(hAPP(c_Power_Opower__class_Opower(_u20612), _u20615), _u20614))) )).
% 12.54/12.80 cnf(matrix-8304, plain, ( ~class_Rings_Ocomm__semiring__1(_u20616) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20616), _u20617), _u20618)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20619), _u20620)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20616), hAPP(hAPP(c_Power_Opower__class_Opower(_u20616), _u20617), _u20619)), hAPP(hAPP(c_Power_Opower__class_Opower(_u20616), _u20618), _u20620))) )).
% 12.54/12.80 cnf(matrix-8305, plain, ( ~class_Rings_Ocomm__semiring__1(_u20621) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20621), hAPP(hAPP(c_Power_Opower__class_Opower(_u20621), _u20622), _u20623)), _u20624)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20625), _u20623)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20621), hAPP(hAPP(c_Power_Opower__class_Opower(_u20621), _u20622), _u20625)), _u20624)) )).
% 12.54/12.80 cnf(matrix-8306, 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), _u20630, _u20632)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20634, _u20636))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20630), _u20632)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20634), _u20630)) )).
% 12.54/12.80 cnf(matrix-8307, 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), _u20630, _u20632)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20634, _u20636))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20630), _u20632)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20632), _u20636)) )).
% 12.54/12.80 cnf(matrix-8308, 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), _u20631, _u20633)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20635, _u20637))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20631), _u20633)) )).
% 12.54/12.80 cnf(matrix-8309, 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), _u20631, _u20633)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20635, _u20637))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20635), _u20631)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20633), _u20637)) )).
% 12.54/12.80 cnf(matrix-8310, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20638), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20639), _u20640))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20638), _u20639)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20640), _u20639)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20638), _u20640)) )).
% 12.54/12.80 cnf(matrix-8311, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20641), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20642), _u20643))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20641), _u20643)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20643), _u20642)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20641), _u20642)) )).
% 12.54/12.80 cnf(matrix-8312, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20646), 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)))), _u20648))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20646), _u20648)) )).
% 12.54/12.80 cnf(matrix-8313, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20646), 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)))), _u20648))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20648), _u20646)) )).
% 12.54/12.80 cnf(matrix-8314, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20647), _u20649)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20649), _u20647)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20647), 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)))), _u20649))) )).
% 12.54/12.80 cnf(matrix-8315, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20652), 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)))), _u20654))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20654), _u20652)) )).
% 12.54/12.80 cnf(matrix-8316, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20652), 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)))), _u20654))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20652), _u20654)) )).
% 12.54/12.80 cnf(matrix-8317, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20655), _u20653)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20653), _u20655)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20653), 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)))), _u20655))) )).
% 12.54/12.80 cnf(matrix-8318, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20658), c_SetInterval_Oord_OatLeast(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20660))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20660), _u20658)) )).
% 12.54/12.80 cnf(matrix-8319, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20661), _u20659)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20659), c_SetInterval_Oord_OatLeast(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20661))) )).
% 12.54/12.80 cnf(matrix-8320, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20664), c_SetInterval_Oord_OatMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20666))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20664), _u20666)) )).
% 12.54/12.80 cnf(matrix-8321, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20665), _u20667)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20665), c_SetInterval_Oord_OatMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20667))) )).
% 12.54/12.80 cnf(matrix-8322, plain, ( ~class_Divides_Osemiring__div(_u20668) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20668), _u20669), _u20670)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u20668), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20668), _u20670), _u20669)), _u20671) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20668), hAPP(hAPP(c_Power_Opower__class_Opower(_u20668), _u20670), _u20671)), hAPP(hAPP(c_Power_Opower__class_Opower(_u20668), _u20669), _u20671))) )).
% 12.54/12.80 cnf(matrix-8323, plain, ( ~class_Divides_Osemiring__div(_u20672) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20672), _u20673), _u20674)) | ( c_Divides_Odiv__class_Omod(_u20672, _u20674, _u20673) = c_Groups_Ozero__class_Ozero(_u20672)) )).
% 12.54/12.80 cnf(matrix-8324, plain, ( ~class_Divides_Osemiring__div(_u20675) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20675), _u20676), _u20677)) | ( c_Divides_Odiv__class_Omod(_u20675, _u20677, _u20676) = c_Groups_Ozero__class_Ozero(_u20675)) )).
% 12.54/12.80 cnf(matrix-8325, plain, ( ~class_Divides_Osemiring__div(_u20675) | ( c_Divides_Odiv__class_Omod(_u20675, _u20677, _u20676) != c_Groups_Ozero__class_Ozero(_u20675)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20675), _u20676), _u20677)) )).
% 12.54/12.80 cnf(matrix-8326, plain, ( ~class_Divides_Osemiring__div(_u20678) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20678), _u20679), _u20680)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20678), _u20679), c_Divides_Odiv__class_Omod(_u20678, _u20681, _u20680))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20678), _u20679), _u20681)) )).
% 12.54/12.80 cnf(matrix-8327, plain, ( ~class_Divides_Osemiring__div(_u20678) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20678), _u20679), _u20680)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20678), _u20679), _u20681)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20678), _u20679), c_Divides_Odiv__class_Omod(_u20678, _u20681, _u20680))) )).
% 12.54/12.80 cnf(matrix-8328, plain, ( ~class_Divides_Osemiring__div(_u20682) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20682), _u20683), _u20684)) | ( c_Divides_Odiv__class_Omod(_u20682, c_Divides_Odiv__class_Omod(_u20682, _u20685, _u20684), _u20683) = c_Divides_Odiv__class_Omod(_u20682, _u20685, _u20683)) )).
% 12.54/12.80 cnf(matrix-8329, plain, ( ~class_Divides_Osemiring__div(_u20686) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20686), _u20687), _u20688)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20686), _u20687), _u20689)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20686), _u20687), c_Divides_Odiv__class_Omod(_u20686, _u20688, _u20689))) )).
% 12.54/12.80 cnf(matrix-8330, plain, ( ~class_Divides_Osemiring__div(_u20690) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20690), _u20691), c_Divides_Odiv__class_Omod(_u20690, _u20692, _u20693))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20690), _u20691), _u20693)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20690), _u20691), _u20692)) )).
% 12.54/12.80 cnf(matrix-8331, plain, ( ~class_Rings_Ocomm__semiring__1(_u20694) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20694), c_Groups_Oone__class_Oone(_u20694)), _u20695)) )).
% 12.54/12.80 cnf(matrix-8332, plain, ( ~class_Rings_Ocomm__semiring__1(_u20696) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20696), c_Groups_Ozero__class_Ozero(_u20696)), _u20697)) | ( _u20697 = c_Groups_Ozero__class_Ozero(_u20696)) )).
% 12.54/12.80 cnf(matrix-8333, plain, ( ~class_Divides_Osemiring__div(_u20698) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20698), _u20699), _u20700)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20698), _u20699), _u20701)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20698), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20698), _u20700), _u20699)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20698), _u20701), _u20699))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20698), _u20700), _u20701)) )).
% 12.54/12.80 cnf(matrix-8334, plain, ( ~class_Divides_Osemiring__div(_u20698) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20698), _u20699), _u20700)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20698), _u20699), _u20701)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20698), _u20700), _u20701)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20698), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20698), _u20700), _u20699)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20698), _u20701), _u20699))) )).
% 12.54/12.80 cnf(matrix-8335, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20703), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( _u20703 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.54/12.80 cnf(matrix-8336, plain, ( ( _u20704 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20704), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.54/12.80 cnf(matrix-8337, plain, ( ~class_Rings_Ocomm__semiring__1(_u20705) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20705), _u20706), _u20707)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20705), hAPP(hAPP(c_Power_Opower__class_Opower(_u20705), _u20706), _u20708)), hAPP(hAPP(c_Power_Opower__class_Opower(_u20705), _u20707), _u20708))) )).
% 12.54/12.80 cnf(matrix-8338, plain, ( ~class_Rings_Ocomm__semiring__1(_u20709) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20709), _u20710), _u20710)) )).
% 12.54/12.80 cnf(matrix-8339, plain, ( ~class_Rings_Ocomm__semiring__1(_u20711) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20711), _u20712), _u20713)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20711), _u20713), _u20714)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20711), _u20712), _u20714)) )).
% 12.54/12.80 cnf(matrix-8340, plain, ( ( _u20717 != _u20719) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20717), _u20719)) )).
% 12.54/12.80 cnf(matrix-8341, plain, ( ( _u20717 != _u20719) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20719), _u20717)) )).
% 12.54/12.80 cnf(matrix-8342, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20718), _u20720)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20720), _u20718)) | ( _u20718 = _u20720) )).
% 12.54/12.80 cnf(matrix-8343, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20723), _u20725)) | ( _u20723 = _u20725) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20725), _u20723)) )).
% 12.54/12.80 cnf(matrix-8344, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20724), _u20726)) | ( _u20724 != _u20726) )).
% 12.54/12.80 cnf(matrix-8345, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20729), _u20731)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20731), _u20729)) | ( _u20729 != _u20731) )).
% 12.54/12.80 cnf(matrix-8346, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20730), _u20732)) | ( _u20730 = _u20732) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20732), _u20730)) )).
% 12.54/12.80 cnf(matrix-8347, plain, ( ( _u20733 = _u20734) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20733), _u20734)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20734), _u20733)) )).
% 12.54/12.80 cnf(matrix-8348, plain, ( ( _u20735 != _u20736) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20735), _u20736)) )).
% 12.54/12.80 cnf(matrix-8349, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20737), _u20738)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20738), _u20737)) | ( _u20738 = _u20737) )).
% 12.54/12.80 cnf(matrix-8350, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20737), _u20738)) | ( _u20738 != _u20737) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20738), _u20737)) )).
% 12.54/12.80 cnf(matrix-8351, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20739), _u20740)) | ( _u20739 = _u20740) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20740), _u20739)) )).
% 12.54/12.80 cnf(matrix-8352, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20741), _u20742)) | ( _u20741 = _u20742) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20742), _u20741)) )).
% 12.54/12.80 cnf(matrix-8353, plain, ( ( _u20743 != _u20744) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20744), _u20745)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20743), _u20745)) )).
% 12.54/12.80 cnf(matrix-8354, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20746), _u20747)) | ( _u20747 != _u20748) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20746), _u20748)) )).
% 12.54/12.80 cnf(matrix-8355, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20749), _u20750)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20750), _u20749)) | ( _u20749 = _u20750) )).
% 12.54/12.80 cnf(matrix-8356, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20751), _u20752)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20752), _u20751)) | ( _u20751 = _u20752) )).
% 12.54/12.80 cnf(matrix-8357, plain, ( class_Lattices_Obounded__lattice(tc_HOL_Obool) )).
% 12.54/12.80 cnf(matrix-8358, plain, ( ~class_Lattices_Obounded__lattice(_u20753) | class_Lattices_Obounded__lattice(tc_fun(_u20754, _u20753)) )).
% 12.54/12.80 cnf(matrix-8359, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20755) | class_Complete__Lattice_Ocomplete__lattice(tc_fun(_u20756, _u20755)) )).
% 12.54/12.80 cnf(matrix-8360, plain, ( ~class_Lattices_Obounded__lattice(_u20757) | class_Lattices_Obounded__lattice__top(tc_fun(_u20758, _u20757)) )).
% 12.54/12.80 cnf(matrix-8361, plain, ( ~class_Lattices_Obounded__lattice(_u20759) | class_Lattices_Obounded__lattice__bot(tc_fun(_u20760, _u20759)) )).
% 12.54/12.80 cnf(matrix-8362, plain, ( ~class_Lattices_Olattice(_u20761) | class_Lattices_Osemilattice__sup(tc_fun(_u20762, _u20761)) )).
% 12.54/12.80 cnf(matrix-8363, plain, ( ~class_Lattices_Olattice(_u20763) | class_Lattices_Osemilattice__inf(tc_fun(_u20764, _u20763)) )).
% 12.54/12.80 cnf(matrix-8364, plain, ( ~class_Lattices_Odistrib__lattice(_u20765) | class_Lattices_Odistrib__lattice(tc_fun(_u20766, _u20765)) )).
% 12.54/12.80 cnf(matrix-8365, plain, ( ~class_Lattices_Oboolean__algebra(_u20767) | class_Lattices_Oboolean__algebra(tc_fun(_u20768, _u20767)) )).
% 12.54/12.80 cnf(matrix-8366, plain, ( ~class_Orderings_Opreorder(_u20769) | class_Orderings_Opreorder(tc_fun(_u20770, _u20769)) )).
% 12.54/12.80 cnf(matrix-8367, plain, ( ~class_Finite__Set_Ofinite(_u20771) | ~class_Finite__Set_Ofinite(_u20772) | class_Finite__Set_Ofinite(tc_fun(_u20771, _u20772)) )).
% 12.54/12.80 cnf(matrix-8368, plain, ( ~class_Lattices_Olattice(_u20773) | class_Lattices_Olattice(tc_fun(_u20774, _u20773)) )).
% 12.54/12.80 cnf(matrix-8369, plain, ( ~class_Orderings_Oorder(_u20775) | class_Orderings_Oorder(tc_fun(_u20776, _u20775)) )).
% 12.54/12.80 cnf(matrix-8370, plain, ( ~class_Orderings_Otop(_u20777) | class_Orderings_Otop(tc_fun(_u20778, _u20777)) )).
% 12.54/12.80 cnf(matrix-8371, plain, ( ~class_Orderings_Oord(_u20779) | class_Orderings_Oord(tc_fun(_u20780, _u20779)) )).
% 12.54/12.80 cnf(matrix-8372, plain, ( ~class_Orderings_Obot(_u20781) | class_Orderings_Obot(tc_fun(_u20782, _u20781)) )).
% 12.54/12.80 cnf(matrix-8373, plain, ( ~class_Groups_Ouminus(_u20783) | class_Groups_Ouminus(tc_fun(_u20784, _u20783)) )).
% 12.54/12.80 cnf(matrix-8374, plain, ( ~class_Groups_Ominus(_u20785) | class_Groups_Ominus(tc_fun(_u20786, _u20785)) )).
% 12.54/12.80 cnf(matrix-8375, plain, ( ~class_Enum_Oenum(_u20787) | ~class_HOL_Oequal(_u20788) | class_HOL_Oequal(tc_fun(_u20787, _u20788)) )).
% 12.54/12.80 cnf(matrix-8376, plain, ( ~class_Enum_Oenum(_u20789) | ~class_Enum_Oenum(_u20790) | class_Enum_Oenum(tc_fun(_u20789, _u20790)) )).
% 12.54/12.80 cnf(matrix-8377, plain, ( class_HOL_Oequal(tc_Com_Ocom) )).
% 12.54/12.80 cnf(matrix-8378, plain, ( class_Nat_Osize(tc_Com_Ocom) )).
% 12.54/12.80 cnf(matrix-8379, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8380, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8381, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8382, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8383, plain, ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8384, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8385, plain, ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8386, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8387, plain, ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8388, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8389, plain, ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8390, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8391, plain, ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8392, plain, ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8393, plain, ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8394, plain, ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8395, plain, ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8396, plain, ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8397, plain, ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8398, plain, ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8399, plain, ( class_Rings_Olinordered__semiring(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8400, plain, ( class_Rings_Olinordered__semidom(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8401, plain, ( class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8402, plain, ( class_Lattices_Osemilattice__sup(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8403, plain, ( class_Lattices_Osemilattice__inf(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8404, plain, ( class_Lattices_Odistrib__lattice(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8405, plain, ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8406, plain, ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8407, plain, ( class_Groups_Oab__semigroup__add(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8408, plain, ( class_Rings_Oordered__semiring(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8409, plain, ( class_Rings_Oordered__ring__abs(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8410, plain, ( class_Rings_Ono__zero__divisors(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8411, plain, ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8412, plain, ( class_Rings_Olinordered__ring(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8413, plain, ( class_Rings_Olinordered__idom(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8414, plain, ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8415, plain, ( class_Groups_Osemigroup__add(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8416, plain, ( class_Divides_Osemiring__div(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8417, plain, ( class_Rings_Ocomm__semiring(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8418, plain, ( class_Nat_Osemiring__char__0(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8419, plain, ( class_Groups_Oab__group__add(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8420, plain, ( class_Rings_Ozero__neq__one(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8421, plain, ( class_Rings_Oordered__ring(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8422, plain, ( class_Orderings_Opreorder(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8423, plain, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8424, plain, ( class_Groups_Omonoid__mult(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8425, plain, ( class_Rings_Ocomm__ring__1(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8426, plain, ( class_Groups_Omonoid__add(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8427, plain, ( class_Rings_Osemiring__1(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8428, plain, ( class_Rings_Osemiring__0(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8429, plain, ( class_Lattices_Olattice(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8430, plain, ( class_Groups_Ogroup__add(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8431, plain, ( class_Divides_Oring__div(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8432, plain, ( class_Rings_Omult__zero(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8433, plain, ( class_Rings_Ocomm__ring(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8434, plain, ( class_Orderings_Oorder(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8435, plain, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8436, plain, ( class_Int_Onumber__ring(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8437, plain, ( class_Rings_Osemiring(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8438, plain, ( class_Orderings_Oord(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8439, plain, ( class_Groups_Ouminus(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8440, plain, ( class_Groups_Osgn__if(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8441, plain, ( class_Groups_Oabs__if(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8442, plain, ( class_Rings_Oring__1(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8443, plain, ( class_Groups_Ominus(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8444, plain, ( class_Power_Opower(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8445, plain, ( class_Groups_Ozero(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8446, plain, ( class_Rings_Oring(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8447, plain, ( class_Rings_Oidom(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8448, plain, ( class_Int_Onumber(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8449, plain, ( class_Groups_Oone(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8450, plain, ( class_Rings_Odvd(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8451, plain, ( class_HOL_Oequal(tc_Int_Oint) )).
% 12.54/12.80 cnf(matrix-8452, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8453, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8454, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8455, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8456, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8457, plain, ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8458, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8459, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8460, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8461, plain, ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8462, plain, ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8463, plain, ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8464, plain, ( class_Rings_Olinordered__semiring(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8465, plain, ( class_Rings_Olinordered__semidom(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8466, plain, ( class_Lattices_Osemilattice__sup(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8467, plain, ( class_Lattices_Osemilattice__inf(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8468, plain, ( class_Lattices_Odistrib__lattice(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8469, plain, ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8470, plain, ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8471, plain, ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8472, plain, ( class_Rings_Oordered__semiring(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8473, plain, ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8474, plain, ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8475, plain, ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8476, plain, ( class_Groups_Osemigroup__add(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8477, plain, ( class_Divides_Osemiring__div(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8478, plain, ( class_Rings_Ocomm__semiring(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8479, plain, ( class_Orderings_Owellorder(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8480, plain, ( class_Nat_Osemiring__char__0(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8481, plain, ( class_Rings_Ozero__neq__one(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8482, plain, ( class_Orderings_Opreorder(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8483, plain, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8484, plain, ( class_Groups_Omonoid__mult(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8485, plain, ( class_Groups_Omonoid__add(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8486, plain, ( class_Rings_Osemiring__1(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8487, plain, ( class_Rings_Osemiring__0(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8488, plain, ( class_Lattices_Olattice(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8489, plain, ( class_Rings_Omult__zero(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8490, plain, ( class_Orderings_Oorder(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8491, plain, ( class_Rings_Osemiring(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8492, plain, ( class_Orderings_Oord(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8493, plain, ( class_Orderings_Obot(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8494, plain, ( class_Groups_Ominus(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8495, plain, ( class_Power_Opower(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8496, plain, ( class_Groups_Ozero(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8497, plain, ( class_Int_Onumber(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8498, plain, ( class_Groups_Oone(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8499, plain, ( class_Rings_Odvd(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8500, plain, ( class_HOL_Oequal(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8501, plain, ( class_Nat_Osize(tc_Nat_Onat) )).
% 12.54/12.80 cnf(matrix-8502, plain, ( class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) )).
% 12.54/12.80 cnf(matrix-8503, plain, ( class_Lattices_Obounded__lattice__top(tc_HOL_Obool) )).
% 12.54/12.80 cnf(matrix-8504, plain, ( class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) )).
% 12.54/12.80 cnf(matrix-8505, plain, ( class_Lattices_Osemilattice__sup(tc_HOL_Obool) )).
% 12.54/12.80 cnf(matrix-8506, plain, ( class_Lattices_Osemilattice__inf(tc_HOL_Obool) )).
% 12.54/12.80 cnf(matrix-8507, plain, ( class_Lattices_Odistrib__lattice(tc_HOL_Obool) )).
% 12.54/12.80 cnf(matrix-8508, plain, ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) )).
% 12.54/12.80 cnf(matrix-8509, plain, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 12.54/12.80 cnf(matrix-8510, plain, ( class_Finite__Set_Ofinite(tc_HOL_Obool) )).
% 12.54/12.80 cnf(matrix-8511, plain, ( class_Lattices_Olattice(tc_HOL_Obool) )).
% 12.54/12.80 cnf(matrix-8512, plain, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 12.54/12.80 cnf(matrix-8513, plain, ( class_Orderings_Otop(tc_HOL_Obool) )).
% 12.54/12.80 cnf(matrix-8514, plain, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 12.54/12.80 cnf(matrix-8515, plain, ( class_Orderings_Obot(tc_HOL_Obool) )).
% 12.54/12.80 cnf(matrix-8516, plain, ( class_Groups_Ouminus(tc_HOL_Obool) )).
% 12.54/12.80 cnf(matrix-8517, plain, ( class_Groups_Ominus(tc_HOL_Obool) )).
% 12.54/12.80 cnf(matrix-8518, plain, ( class_HOL_Oequal(tc_HOL_Obool) )).
% 12.54/12.80 cnf(matrix-8519, plain, ( class_Enum_Oenum(tc_HOL_Obool) )).
% 12.54/12.80 cnf(matrix-8520, plain, ( class_Nat_Osize(tc_HOL_Obool) )).
% 12.54/12.80 cnf(matrix-8521, plain, ( class_HOL_Oequal(tc_Com_Ostate) )).
% 12.54/12.80 cnf(matrix-8522, plain, ( class_Nat_Osize(tc_Com_Ostate) )).
% 12.54/12.80 cnf(matrix-8523, plain, ( ~class_Lazy__Sequence_Osmall__lazy(_u20791) | class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(_u20791)) )).
% 12.54/12.80 cnf(matrix-8524, plain, ( class_HOL_Oequal(tc_List_Olist(_u20792)) )).
% 12.54/12.80 cnf(matrix-8525, plain, ( class_Nat_Osize(tc_List_Olist(_u20793)) )).
% 12.54/12.80 cnf(matrix-8526, plain, ( ~class_Finite__Set_Ofinite(_u20794) | ~class_Finite__Set_Ofinite(_u20795) | class_Finite__Set_Ofinite(tc_sum(_u20794, _u20795)) )).
% 12.54/12.80 cnf(matrix-8527, plain, ( class_HOL_Oequal(tc_sum(_u20796, _u20797)) )).
% 12.54/12.80 cnf(matrix-8528, plain, ( ~class_Enum_Oenum(_u20798) | ~class_Enum_Oenum(_u20799) | class_Enum_Oenum(tc_sum(_u20798, _u20799)) )).
% 12.54/12.80 cnf(matrix-8529, plain, ( class_Nat_Osize(tc_sum(_u20800, _u20801)) )).
% 12.54/12.80 cnf(matrix-8530, plain, ( ~class_Finite__Set_Ofinite(_u20802) | class_Finite__Set_Ofinite(tc_Option_Ooption(_u20802)) )).
% 12.54/12.80 cnf(matrix-8531, plain, ( class_HOL_Oequal(tc_Option_Ooption(_u20803)) )).
% 12.54/12.80 cnf(matrix-8532, plain, ( ~class_Enum_Oenum(_u20804) | class_Enum_Oenum(tc_Option_Ooption(_u20804)) )).
% 12.54/12.80 cnf(matrix-8533, plain, ( class_Nat_Osize(tc_Option_Ooption(_u20805)) )).
% 12.54/12.80 cnf(matrix-8534, plain, ( class_HOL_Oequal(tc_Nitpick_Opair__box(_u20806, _u20807)) )).
% 12.54/12.80 cnf(matrix-8535, plain, ( class_Nat_Osize(tc_Nitpick_Opair__box(_u20808, _u20809)) )).
% 12.54/12.80 cnf(matrix-8536, plain, ( ~class_Lazy__Sequence_Osmall__lazy(_u20810) | ~class_Lazy__Sequence_Osmall__lazy(_u20811) | class_Lazy__Sequence_Osmall__lazy(tc_prod(_u20810, _u20811)) )).
% 12.54/12.80 cnf(matrix-8537, plain, ( ~class_Finite__Set_Ofinite(_u20812) | ~class_Finite__Set_Ofinite(_u20813) | class_Finite__Set_Ofinite(tc_prod(_u20812, _u20813)) )).
% 12.54/12.80 cnf(matrix-8538, plain, ( class_HOL_Oequal(tc_prod(_u20814, _u20815)) )).
% 12.54/12.80 cnf(matrix-8539, plain, ( ~class_Enum_Oenum(_u20816) | ~class_Enum_Oenum(_u20817) | class_Enum_Oenum(tc_prod(_u20816, _u20817)) )).
% 12.54/12.80 cnf(matrix-8540, plain, ( class_Nat_Osize(tc_prod(_u20818, _u20819)) )).
% 12.54/12.80 cnf(matrix-8541, plain, ( class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) )).
% 12.54/12.80 cnf(matrix-8542, plain, ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) )).
% 12.54/12.80 cnf(matrix-8543, plain, ( class_HOL_Oequal(tc_Product__Type_Ounit) )).
% 12.54/12.80 cnf(matrix-8544, plain, ( class_Enum_Oenum(tc_Product__Type_Ounit) )).
% 12.54/12.80 cnf(matrix-8545, plain, ( class_Nat_Osize(tc_Product__Type_Ounit) )).
% 12.54/12.80 cnf(matrix-8546, plain, ( class_HOL_Oequal(tc_Code__Evaluation_Oterm) )).
% 12.54/12.80 cnf(matrix-8547, plain, ( class_Nat_Osize(tc_Code__Evaluation_Oterm) )).
% 12.54/12.80 cnf(matrix-8548, plain, ( class_HOL_Oequal(tc_Hoare__Mirabelle_Otriple(_u20820)) )).
% 12.54/12.80 cnf(matrix-8549, plain, ( class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(_u20821)) )).
% 12.54/12.80 cnf(matrix-8550, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8551, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8552, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8553, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8554, plain, ( class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8555, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8556, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8557, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8558, plain, ( class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8559, plain, ( class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8560, plain, ( class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8561, plain, ( class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8562, plain, ( class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8563, plain, ( class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8564, plain, ( class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8565, plain, ( class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8566, plain, ( class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8567, plain, ( class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8568, plain, ( class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8569, plain, ( class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8570, plain, ( class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8571, plain, ( class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8572, plain, ( class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8573, plain, ( class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8574, plain, ( class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8575, plain, ( class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8576, plain, ( class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8577, plain, ( class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8578, plain, ( class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8579, plain, ( class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8580, plain, ( class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8581, plain, ( class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8582, plain, ( class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8583, plain, ( class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8584, plain, ( class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8585, plain, ( class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8586, plain, ( class_Power_Opower(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8587, plain, ( class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8588, plain, ( class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8589, plain, ( class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8590, plain, ( class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8591, plain, ( class_HOL_Oequal(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8592, plain, ( class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) )).
% 12.54/12.80 cnf(matrix-8593, plain, ( class_HOL_Oequal(tc_Lazy__Sequence_Olazy__sequence(_u20822)) )).
% 12.54/12.80 cnf(matrix-8594, plain, ( class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20823)) )).
% 12.54/12.80 cnf(matrix-8595, plain, ( ( hAPP(c_COMBI(_u20824), _u20825) = _u20825) )).
% 12.54/12.80 cnf(matrix-8596, plain, ( ( hAPP(hAPP(c_COMBK(_u20826, _u20827), _u20828), _u20829) = _u20828) )).
% 12.54/12.80 cnf(matrix-8597, plain, ( ( hAPP(hAPP(hAPP(c_COMBB(_u20830, _u20831, _u20832), _u20833), _u20834), _u20835) = hAPP(_u20833, hAPP(_u20834, _u20835))) )).
% 12.54/12.80 cnf(matrix-8598, plain, ( ( hAPP(hAPP(hAPP(c_COMBC(_u20836, _u20837, _u20838), _u20839), _u20840), _u20841) = hAPP(hAPP(_u20839, _u20841), _u20840)) )).
% 12.54/12.80 cnf(matrix-8599, plain, ( ( hAPP(hAPP(hAPP(c_COMBS(_u20842, _u20843, _u20844), _u20845), _u20846), _u20847) = hAPP(hAPP(_u20845, _u20847), hAPP(_u20846, _u20847))) )).
% 12.54/12.80 cnf(matrix-8600, plain, ( ~hBOOL(hAPP(hAPP(c_fequal, _u20848), _u20849)) | ( _u20848 = _u20849) )).
% 12.54/12.80 cnf(matrix-8601, plain, ( ( _u20850 != _u20851) | hBOOL(hAPP(hAPP(c_fequal, _u20850), _u20851)) )).
% 12.54/12.80 cnf(matrix-8602, plain, ( ~hBOOL(c_fFalse) )).
% 12.54/12.80 cnf(matrix-8603, plain, ( hBOOL(c_fTrue) )).
% 12.54/12.80 cnf(matrix-8604, plain, ( ~hBOOL(hAPP(c_fNot, _u20852)) | ~hBOOL(_u20852) )).
% 12.54/12.80 cnf(matrix-8605, plain, ( hBOOL(_u20853) | hBOOL(hAPP(c_fNot, _u20853)) )).
% 12.54/12.80 cnf(matrix-8606, plain, ( ~hBOOL(_u20855) | ~hBOOL(_u20854) | hBOOL(hAPP(hAPP(c_fconj, _u20854), _u20855)) )).
% 12.54/12.80 cnf(matrix-8607, plain, ( ~hBOOL(hAPP(hAPP(c_fconj, _u20856), _u20857)) | hBOOL(_u20856) )).
% 12.54/12.80 cnf(matrix-8608, plain, ( hBOOL(_u20859) | ~hBOOL(hAPP(hAPP(c_fconj, _u20858), _u20859)) )).
% 12.54/12.80 cnf(matrix-8609, plain, ( ~hBOOL(_u20860) | hBOOL(hAPP(hAPP(c_fdisj, _u20860), _u20861)) )).
% 12.54/12.80 cnf(matrix-8610, plain, ( ~hBOOL(_u20862) | hBOOL(hAPP(hAPP(c_fdisj, _u20863), _u20862)) )).
% 12.54/12.80 cnf(matrix-8611, plain, ( hBOOL(_u20865) | ~hBOOL(hAPP(hAPP(c_fdisj, _u20864), _u20865)) | hBOOL(_u20864) )).
% 12.54/12.80 cnf(matrix-8612, plain, ( hBOOL(_u20866) | hBOOL(hAPP(hAPP(c_fimplies, _u20866), _u20867)) )).
% 12.54/12.80 cnf(matrix-8613, plain, ( ~hBOOL(_u20868) | hBOOL(hAPP(hAPP(c_fimplies, _u20869), _u20868)) )).
% 12.54/12.80 cnf(matrix-8614, plain, ( hBOOL(_u20871) | ~hBOOL(hAPP(hAPP(c_fimplies, _u20870), _u20871)) | ~hBOOL(_u20870) )).
% 12.54/12.80 cnf(matrix-8615, plain, ( ~v_Q_H(_u20873, _u20872) | v_Q(_u20873, _u20872) )).
% 12.54/12.80 cnf(matrix-8616, plain, ( v_P(skolem601, skolem602) )).
% 12.54/12.80 cnf(matrix-8617, plain, ( ~v_P(_u20874, skolem602) | v_Q_H(_u20874, skolem603) )).
% 12.54/12.80 cnf(matrix-8618, plain, ( ~v_Q(skolem601, skolem603) )).
% 12.54/12.80
% 12.54/12.80 % Proof stack:
% 12.54/12.80 cnf(proof-stack, plain,
% 12.54/12.80 proof_stack(
% 12.54/12.80 start(8617),
% 12.54/12.80 left_branch(0, 8616, 0, 2),
% 12.54/12.80 right_branch(2),
% 12.54/12.80 left_branch(0, 8615, 0, 3),
% 12.54/12.80 left_branch(0, 8618, 0, 4),
% 12.54/12.80 right_branch(4),
% 12.54/12.80 right_branch(3)
% 12.54/12.80 )).
% 12.54/12.80 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------