A compound represented by the formula (I): in which R1 is a heterocyclic monocyclic group containing saturated or unsaturated aromatic or non-aromatic nitrogen containing, as an atom constituting a ring, at least one nitrogen atom and which is optionally condensed with a benzene ring or an aromatic or non-aromatic heterocycle, the heterocyclic monocyclic group containing nitrogen optionally fused with a benzene ring or a heterocycle optionally has 1 to 5 substituents selected from the group consisting of (1) a halogen atom, (2) nitro, (3) cyano, (4) hydroxy, (5) C1-6 alkoxy having optionally 1 to 3 halogen atoms, (6) C6-14 aryloxy, (7) C7- aralkyloxy 16, (8) mercapto, (9) C1-6 alkylthio which optionally has 1 to 3 halogen atoms, (10) C6-14 arylthio, (11) C7-16 aralkylthio, (12) amino, ( 13) C1-6-amino mono-alkyl, (14) C6-14-amino mono-aryl, (15) C7-16-amino mono-aralkyl, (16) C1-6-amino di-alkyl, (17) C6-14-amino di-aryl, (18) C7-16-amino di-aralkyl, (19) formyl, (20) C1-6- alkyl carbonyl, (21) C6-14-carbonyl aryl, (22) carboxyl, (23) C1-6-carbonyl alkoxy, (24) C6-14-carbonyl aryloxy, (25) carbamoyl, (26) thiocarbamoyl, (27) C1-6-carbamoyl mono-alkyl, (28) C1-6-carbamoyl di-alkyl, (29) C6-14-carbamoyl aryl, (30) C1-6-sulfonyl alkyl, (31 ) C6-14-sulfonyl aryl, (32) C1-6-sulfinyl alkyl, (33) C6-14-sulfinyl aryl, (34) formylamino, (35) C1-6-carbonylamino alkyl, (36) C6-14-carbonylamino aryl, (37) C1-6-carbonylamino alkoxy, (38) C1-6-sulfonylamino alkyl, (39) C6-14-sulfonylamino aryl, (40) C1-6 alkyl carbonyloxy, (41) C6-14-carbonyloxy aryl, (42) C1-6-carbonyloxy alkoxy, (43) C1-6-carbamoyloxy mono-alkyl, (44) C1-6-carbamoyloxy di-alkyl, (45) C6-14-carbamoyloxy aryl, (46) a 5- to 7-membered saturated cyclic amino optionally containing, in addition to an atom or of nitrogen and carbon atoms, 1 or 2 types of 1 to 4 heteroatoms selected from a nitrogen atom, a sulfur atom and an oxygen atom, (47) a 5 to 10-membered aromatic heterocyclic group which also contains of carbon atoms, 1 or 2 types of 1 to 4 heteroatoms selected from a nitrogen atom, a sulfur atom and an oxygen atom, (48) C1-3-dioxy alkylene, (49) C3-7 cycloalkyl , (50) C1-6 alkyl group optionally having 1 to 3 halogen atoms, (51) a C2-6 alkenyl group optionally having 1 to 3 halogen atoms, (52) a C2 alkynyl group -6, and (53) a C1-6 alkyl group substituted with 1 to 3 hydroxy, R2 is (i) a C6-14 aryl group that optionally has 1 to 5 substituents selected from the group consisting of (1) a halogen atom, (2) nitro, (3) cyano, (4) hydroxy, (5) C1-6 alkoxy optionally having 1 to 3 halogen atoms, (6) C6-14 aryloxy, (7 ) C7-16 aralkyloxy, (8) mercap to, (9) C1-6 alkylthio having optionally 1 to 3 halogen atoms, (10) C6-14 arylthio, (11) C7-16 aralkylthio, (12) amino, (13) mono-alkyl C1-6-amino, (14) C6-14-amino mono-aryl, (15) C7-16-amino mono-aralkyl, (16) C1-6-amino di-alkyl, (17) di C6-14-amino aryl, (18) C7-16-amino di-aralkyl, (19) formyl, (20) C1-6-carbonyl alkyl, (21) C6-14-carbonyl aryl, ( 22) carboxyl, (23) C1-6-carbonyl alkoxy, (24) C6-14-carbonyl aryloxy, (25) carbamoyl, (26) thiocarbamoyl, (27) C1-6-carbamoyl mono-alkyl, ( 28) C1-6-carbamoyl di-alkyl, (29) C6-14-carbamoyl aryl, (30) C1-6-sulfonyl alkyl, (31) C6-14-sulfonyl aryl, (32) alkyl of C1-6-sulfinyl, (33) C6-14-sulfinyl aryl, (34) formylamino, (35) C1-6-carbonylamino alkyl, (36) C6-14-carbonylamino aryl, (37) C1 alkoxy -6-carbonylamino, (38) C1-6-sulfonylamino alkyl, (39) C6-14-sulfonylamino, (40) C1-6-carbonyloxy alkyl, (41) C6-14-carbonyl aryl loxy, (42) C1-6-carbonyloxy alkoxy, (43) C1-6-carbamoyloxy monoalkyl, (44) C1-6-carbamoyloxy di-alkyl, (45) C6-14-carbamoyloxy aryl, (46 ) a saturated 5- to 7-membered cyclic amino optionally containing, in addition to a nitrogen atom and carbon atoms, 1 or 2 types of 1 to 4 heteroatoms selected from a nitrogen atom, a sulfur atom and an oxygen atom , (47) a 5 to 10-membered aromatic heterocyclic group containing, in addition to carbon atoms, 1 or 2 types of 1 to 4 heteroatoms selected from a nitrogen atom, a sulfur atom and an oxygen atom, (48 ) C1-3-dioxy alkylene, (49) C3-7 cycloalkyl, (50) C1-6 alkyl group optionally having 1 to 3 halogen atoms, (51) a C2-6 alkenyl group having optionally 1 to 3 halogen atoms, (52) a C2-6 alkynyl group, and (53) a C1-6 alkyl group substituted with 1 to 3 hydroxy, (ii) a thienyl group optionally having 1 to 4 sel substituents from the group consisting of (1) a halogen atom, (2) nitro, (3) cyano, (4) hydroxy, (5) C1-6 alkoxy which optionally has 1 to 3 halogen atoms, (6 ) C6-14 aryloxy, (7) C7-16 aralkyloxy, (8) mercapto, (9) C1-6 alkylthio optionally having 1 to 3 halogen atoms, (10) C6-14 arylthio, ( 11) C7-16 aralkylthio, (12) amino, (13) C1-6-amino mono-alkyl, (14) C6-14-amino mono-aryl, (15) C7-16 mono-aralkyl- amino, (16) C1-6-amino di-alkyl, (17) C6-14-amino di-aryl, (18) C7-16-amino di-aralkyl, (19) formyl, (20) alkyl C1-6-carbonyl, (21) C6-14-carbonyl aryl, (22) carboxyl, (23) C1-6-carbonyl alkoxy, (24) C6-14-carbonyl aryloxy, (25) carbamoyl, (26) thiocarbamoyl, (27) C1-6-carbamoyl mono-alkyl, (28) C1-6-carbamoyl di-alkyl, (29) C6-14-carbamoyl aryl, (30) C1-6 alkyl -sulfonyl, (31) C6-14-sulfonyl aryl, (32) C1-6-sulfinyl alkyl, (33) C6-14-sulfinyl aryl, (34) formylamino, (35) C1-6-carbonylamino alkyl, (36) C6-14-carbonylamino aryl, (37) C1-6-carbonylamino alkoxy, (38) C1-6-sulfonylamino alkyl, (39) C6-14- aryl sulfonylamino, (40) C1-6-carbonyloxy alkyl, (41) C6-14-carbonyloxy aryl, (42) C1-6-carbonyloxy alkoxy, (43) C1-6-carbamoyloxy monoalkyl, (44) di -C1-6-carbamoyloxy alkyl, (45) C6-14-carbamoyloxy aryl, (46) a 5- to 7-membered saturated cyclic amino which optionally contains, in addition to a nitrogen atom and carbon atoms, 1 or 2 types of 1 to 4 heteroatoms selected from a nitrogen atom, a sulfur atom and an oxygen atom, (47) a 5- to 10-membered aromatic heterocyclic group containing, in addition to carbon atoms, 1 or 2 types of 1 to 4 heteroatoms selected from a nitrogen atom, a sulfur atom and an oxygen atom, (48) C1-3-dioxy alkylene, (49) C3-7 cycloalkyl, (50) C1-6 alkyl group which optionally has 1 to 3 halogen atoms, (51) an alkenyl group d and C2-6 optionally having 1 to 3 halogen atoms, (52) a C2-6 alkynyl group, and (53) a C1-6 alkyl group substituted with 1 to 3 hydroxy, or (iii) a group pyridyl having optionally 1 to 4 substituents selected from the group consisting of (1) a halogen atom, (2) nitro, (3) cyano, (4) hydroxy, (5) C1-6 alkoxy optionally having 1 to 3 halogen atoms, (6) C6-14 aryloxy, (7) C7-16 aralkyloxy, (8) mercapto, (9) C1-6 alkylthio having optionally 1 to 3 halogen atoms, ( 10) C6-14 arylthio, (11) C7-16 aralkylthio, (12) amino, (13) C1-6-amino mono-alkyl, (14) C6-14-amino mono-aryl, (15 ) C7-16-amino mono-aralkyl, (16) C1-6-amino di-alkyl, (17) C6-14-amino di-aryl, (18) C7-16-amino di-aralkyl, (19) formyl, (20) C1-6-carbonyl alkyl, (21) C6-14-carbonyl aryl, (22) carboxyl, (23) C1-6-carbonyl alkoxy, (24) C6- aryloxy 14-carbonyl, (25) carbamoyl, (26) thiocarbamoyl, (27) mono-alk C1-6-carbamoyl, (28) di-C1-6-carbamoyl, (29) C6-14-carbamoyl aryl, (30) C1-6-sulfonyl alkyl, (31) C6- aryl 14-sulfonyl, (32) C1-6-sulfinyl alkyl, (33) C6-14-sulfinyl aryl, (34) formylamino, (35) C1-6-carbonylamino alkyl, (36) C6-14 aryl -carbonylamino, (37) C1-6-carbonylamino alkoxy, (38) C1-6-sulfonylamino alkyl, (39) C6-14-sulfonylamino aryl, (40) C1-6-carbonyloxy alkyl, (41) C6-14-carbonyloxy aryl, (42) C1-6-carbonyloxy alkoxy, (43) C1-6-carbamoyloxy monoalkyl, (44) C1-6-carbamoyloxy di-alkyl, (45) C6- aryl 14-carbamoyloxy, (46) a saturated 5- to 7-membered cyclic amino containing optionally, in addition to a nitrogen atom and carbon atoms, 1 or 2 types of 1 to 4 heteroatoms selected from a nitrogen atom, an atom of sulfur and an oxygen atom, (47) a 5 to 10-membered aromatic heterocyclic group containing, in addition to carbon atoms, 1 or 2 types of 1 to 4 heteroatoms selects two of a nitrogen atom, a sulfur atom and an oxygen atom, (48) C1-3-dioxy alkylene, (49) C3-7 cycloalkyl, (50) C1-6 alkyl group optionally having 1 to 3 halogen atoms, (51) a C2-6 alkenyl group optionally having 1 to 3 halogen atoms, (52) a C2-6 alkynyl group, and (53) a C1-6 alkyl group substituted with 1 to 3 hydroxy, R3 and R4 are each a hydrogen atom, or one of R3 and R4 is a hydrogen atom and the other is (i) a C1-4 alkyl group optionally having 1 to 3 substituents selected from the group consisting of (1) a halogen atom, (2) nitro, (3) cyano, (4) hydroxy, (5) C1-6 alkoxy optionally having 1 to 3 halogen atoms, ( 6) C6-14 aryloxy, (7) C7-16 aralkyloxy, (8) mercapto, (9) C1-6 alkylthio having optionally 1 to 3 halogen atoms, (10) C6-14 arylthio, (11) C7-16 aralkylthio, (12) amino, (13) C1-6-amino mono-alkyl, (14) C6-14-amino mono-aryl,
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