
    BROWN & WILLIAMSON TOBACCO CORPORATION, Plaintiff-Appellant, v. PHILIP MORRIS INCORPORATED, Defendant-Cross Appellant.
    Nos. 99-1389, 99-1403.
    United States Court of Appeals, Federal Circuit.
    Oct. 17, 2000.
    Rehearing Denied Nov. 15, 2000.
    
      Stephen R. Smith, Morgan & Finnegan, L.L.P., of New York, New York, argued for plaintiff-appellant. With him on the brief were John A. Diaz, Robert E. Paul-son, Harry C. Marcus, and Andrea L. Wayda. Of counsel were Marc G. Schild-kraut, and James W. Gould.
    Peter T. Grossi, Jr., Arnold & Porter, of Washington, DC, argued for defendant-cross-appellant. With him on the brief were Michael D. Daneker, and Amy K. Phillips. Of counsel on the brief were Donald R. Dunner and Karen F. Stoll, Finnegan, Henderson, Farabow, Garrett & Dunner, of Washington, DC. Also of counsel on the brief was William D. Grubbs, Woodward, Hobson & Fulton, of Louisville, Kentucky.
    Before CLEVENGER, BRYSON, and LINN, Circuit Judges.
   LINN, Circuit Judge.

Brown & Williamson Tobacco Corp. (“B & W”) and Philip Morris Inc. (“PM”) seek review of a judgment entered April 1, 1999 by the United States District Court for the Western District of Kentucky. See Brown & Williamson Tobacco Corp. v. Philip Morris Inc., No. 3:89CV-0470-S (W.D.Ky. Apr. 1, 1999) (judgment); Brown & Williamson Tobacco Corp. v. Philip Morris Inc., No. 3:89CV-0470-S (W.D.Ky. Apr. 1, 1999) (findings of fact and conclusions of law) (“B & W Opinion ”). B & W appeals the district court’s holding that claims 1, 4, and 11 of U.S. Reissue Patent No. 32,615 (the “Luke patent” or “ ’615 patent”) were invalid for obviousness over the prior art. PM cross-appeals the district court’s holdings that: (1) claims 1, 4, and 11 of the Luke patent were infringed by the Virginia Slims SuperSlims (“VSSS”) cigarette manufactured by PM; (2) PM’s infringement was willful up until receipt of oral opinions in March and May of 1989; and (3) claims 1, 4, and 11 of the Luke patent were not invalid due to an alleged public use. Because the district court did not err in finding claims 1, 4, and 11 obvious over the prior art, we affirm the district court’s decision that claims 1, 4, and 11 are invalid. Because that decision moots the remaining issues, we do not address the district court’s other invalidity decision or its decisions regarding infringement and willfulness.

BACKGROUND

John Luke, the inventor of the Luke patent, was an employee of British American Tobacco Co., Ltd. (“BAT”) and worked in the field of research and design of cigarettes. In the early 1980s, Luke’s work was focused on using less tobacco in a cigarette and thereby reducing manufacturing expenses. His work led him to conclude that smaller circumference cigarettes burned more efficiently. Luke made several prototypes of reduced circumference cigarettes and disclosed his discovery to management. B & W, a subsidiary of BAT, became aware of Luke’s reduced circumference cigarettes and obtained an exclusive license for them in the United States.

B & W filed a patent application covering Luke’s discovery and U.S. Patent No. 4,637,410 (the “ ’410 patent”) issued on January 20, 1987. Shortly thereafter, citing an error in the analysis of a prior art patent to Lephardt, B & W filed a reissue application and also submitted additional references for consideration by the U.S. Patent and Trademark Office. After some amendments, the application was reissued as the Luke patent on March 1,1988. The Luke patent claims .a foreign application priority date of May 24, 1985 and a U.S. priority date of July 22, 1985. The Luke patent contains fifteen claims, of which only claim 1 is independent. The only claims involved in the present litigation are claims 1, 4, and 11. The central limitation in the Luke patent is cigarette circumference, which is limited to 10-19 mm. As a point of reference, traditional cigarettes have circumferences of 23-27 mm.

Around the time that the ’410 patent issued, B & W began selling a 17 mm cigarette which was eventually marketed under the name “Capri.” The Luke patent discloses an embodiment having a circumference of 17 mm and the parties agree that claims 1, 4, and 11 read on the Capri. Shortly after the ’410 patent issued and B & W began marketing Capri, PM began developing a product to compete with the Capri. It took more than two years, however, for PM to place its competing cigarette, the VSSS, on the market.

On May 30, 1989, B & W filed a complaint against PM for infringement of the Luke patent, and subsequently a bench trial was held. In its decision, the district court held that the asserted claims were invalid for obviousness and willfully infringed, but not invalid due to an alleged public use. The district court also held that the Luke patent was not unenforceable due to inequitable conduct. Both parties appeal the decision to this court. They appeal or cross-appeal each holding except for the finding of no inequitable conduct. We have exclusive jurisdiction pursuant to 28 U.S.C. § 1295(a)(1) (1994).

DISCUSSION

A. Standard of Review

On appeal from a bench trial, we review a district court’s decision for errors of law and clearly erroneous findings of fact. See Fed.R.Civ.P. 52(a); Interspiro USA, Inc. v. Figgie Int’l Inc., 18 F.3d 927, 930, 30 USPQ2d 1070, 1072 (Fed.Cir.1994).

B. Analysis

1. Claims at Issue

Only claims 1, 4, and 11 of the Luke, patent are at issue. Claim 1 is reproduced below:

1. A finished cigarette of commercially acceptable quality and elegant appearance
in the form of, an elongated rod of uniform cross-section throughout its length capable of sustained smoulder when lit but not being smoked, said elongated rod consisting of
a cut tobacco filler,
a cigarette paper wrapper, circumscribing said cut tobacco filler,
a filter in abutment with one end of said cut tobacco filler and
a tipping wrapper maintaining said filter in abutment with said one end of said cut tobacco filler,
the circumference of said elongated rod being within a range of 10 mm to 19 mm, and having a cut tobacco filler packing density within the range of 150 mg per cm3 to 350 mg per cm3 yielding a free burn rate of said rod within a range of 25 to 45 mg min'1,
the aforesaid cigarette utilizing tobacco at greater efficiency than conventional commercially marketed cigarettes.

Luke patent, col. 3, 11. 22-38. Although the claim appears in the Luke patent as one continuous paragraph, without parsing, we have parsed the claim for clarity in our analysis.

Claim 4 reads as follows: “A cigarette as claimed in claim 1, wherein the packing density of said cut tobacco filler is within a range of 200 mg per cm3 to 300 mg per cm3.” Id. at col. 4,11. 1-3. Claim 11 reads as follows: “A cigarette as claimed in claim 1, which provides in excess of about 8 puffs.” Id. at col. 4, 11. 26-27. The construction of these claims is not in dispute.

2. Obviousness

The ultimate determination of whether an invention would have been obvious is a legal conclusion based on the totality of the evidence, see Richardson-Vicks Inc. v. Upjohn Co., 122 F.3d 1476, 1483, 44 USPQ2d 1181, 1187 (Fed.Cir.1997), including underlying factual inquiries such as: (1) the scope and content of the prior art; (2) the level of ordinary skill in the prior art; (3) the differences between the claimed invention and the prior art; and (4) objective evidence of nonobvi-ousness. See Graham v. John Deere Co., 383 U.S. 1, 17-18, 86 S.Ct. 684, 15 L.Ed.2d 545 (1966); In re Dembiczak, 175 F.3d 994, 998, 50 USPQ2d 1614, 1616 (Fed.Cir.1999), abrogated on other grounds by In re Gartside, 203 F.3d 1305, 53 USPQ2d 1769 (Fed. Cir.2000). Accordingly, this ultimate determination of obviousness is reviewed without deference, while any factual findings are reviewed for clear error. See Winner Int’l Royalty Corp. v. Wang, 202 F.3d 1340, 1348, 53 USPQ2d 1580, 1586 (Fed.Cir.2000). The Supreme Court has stated that a holding is clearly erroneous when, “although there is evidence to support [the holding], the reviewing court on the entire evidence is left with the definite and firm conviction that a mistake has been committed.” United States v. United States Gypsum Co., 333 U.S. 364, 395, 68 S.Ct. 525, 92 L.Ed. 746 (1948). In deciding the legal question of obviousness, we bear in mind that the party asserting invalidity of a patent must prove the disputed facts by clear and convincing evidence. See Georgia-Pacific Corp. v. United States Gypsum Co., 195 F.3d 1322, 1330, 52 USPQ2d 1590, 1597 (Fed.Cir.2000); Newell Cos., Inc. v. Kenney Mfg. Co., 864 F.2d 757, 767, 9 USPQ2d 1417, 1425 (Fed.Cir.1988).

The statutory standard for the ultimate determination of obviousness provides that a claimed invention is unpatentable if the differences between it and the prior art “are such that the subject matter as a whole would have been obvious at the time the invention was made to a person having ordinary skill in the art.” 35 U.S.C. § 103 (1994); see also Graham, 383 U.S. at 13, 86 S.Ct. 684. In line with this statutory standard, our case law provides that “[t]he consistent criterion for determination of obviousness is whether the prior art would have suggested to one of ordinary skill in the art that this process should be carried out and would have a reasonable likelihood of success, viewed in the light of the prior art.” In re Dow Chem., 837 F.2d 469, 473, 5 USPQ2d 1529, 1531 (Fed.Cir.1988). Two requirements are contained in this criterion.

The first requirement is that a showing of a suggestion, teaching, or motivation to combine the prior art references is an “essential evidentiary component of an obviousness holding.” C.R. Bard, Inc. v. M3 Sys. Inc., 157 F.3d 1340, 1352, 48 USPQ2d 1225, 1232 (Fed.Cir.1998). This evidence may flow from the prior art references themselves, the knowledge of one of ordinary skill in the art, or, in some cases, from the nature of the problem to be solved. See Pro-Mold & Tool Co. v. Great Lakes Plastics, Inc., 75 F.3d 1568, 1573, 37 USPQ2d 1626, 1630 (Fed.Cir.1996). However, the suggestion more often comes from the teachings of the pertinent references. See In re Rouffet, 149 F.3d 1350, 1359, 47 USPQ2d 1453, 1459 (Fed.Cir.1998). This showing must be clear and particular, and broad conclusory statements about the teaching of multiple references, standing alone, are not “evidence.” See Dembiczak, 175 F.3d at 1000, 50 USPQ2d at 1617. However, the suggestion to combine need not be express and “may come from the prior art, as filtered through the knowledge of one skilled in the art.” Motorola, Inc. v. Interdigital Technology Corp., 121 F.3d 1461, 1472, 43 USPQ2d 1481, 1489 (Fed.Cir.1997).

The second requirement is that the ultimate determination of obviousness “does not require absolute predictability of success.... [A]ll that is required is a reasonable expectation of success.” In re O’Farrell, 853 F.2d 894, 903-904, 7 USPQ2d 1673, 1681 (Fed.Cir.1988); see also In re Longi, 759 F.2d 887, 897, 225 USPQ 645, 651-52 (Fed.Cir.1985).

3. Factual Inquiries

The district court made findings on all four of the Graham factors. The court described the prior art at length, described the level of ordinary skill in cigarette design at the time when Luke made his invention, explained the differences between the prior art and the claims at issue, and assessed various secondary indicators of nonobviousness. The district court found obviousness based primarily on the prior ait of the More cigarette and the three references of Rice, Resnik, and Mu-ramatsu.

a.The Prior Art “More” Cigarette

In 1974, R.J. Reynolds Tobacco Co. marketed a cigarette in the United States under the name of “More.” The More cigarette is, therefore, prior art under 35 U.S.C. § 102(b). The district court found that the More cigarette had a circumference of 20.8 mm, had a packing density of 263 mg/cm, had a static burn rate of 39-42 mg/min, provided 15.4 puffs per cigarette, and delivered 53 mg of tobacco per puff. The district court further found that the More cigarette met every limitation of claims 1, 4, and 11 except the circumference limitation. The record supports each of these findings and the parties do not dispute them.

b.Level of Ordinary Skill

The district court found, and the parties do not dispute, that a person of ordinary skill in the art of cigarette design in 1985 would have had a bachelor’s degree in either engineering, chemistry, physics, or chemical engineering, and would have had at least five years experience in the field of cigarette design.

c.Prior Art Teaching to Reduce Circumference

The parties agree that as of the time the invention claimed in the Luke patent was made, one' of ordinary skill in the art of cigarette design would have been familiar with reducing the circumference of an orthodox (25 mm) cigarette to a circumference as small as 21 mm, and that a 21 mm cigarette, such as the More cigarette, could have been manufactured within commercially acceptable parameters. The parties dispute, however, whether a further reduction from the orthodox circumference of about 25 mm to the range of 10 to 19 mm, with the parameters specified in claims 1, 4, and 11 of the ’615 patent, would have been obvious at that time to one skilled in the art under 35 U.S.C. § 103.

In making the Luke invention, Luke discovered that his 10 to 19 mm cigarette utilized tobacco at a more efficient rate than conventional cigarettes and afforded certain other advantages which he claims were heretofore unknown to those skilled in the art. Luke refers to this efficiency as tobacco utilization efficiency (“TUE”), which reflects the amount of tobacco consumed per puff. A lower value of TUE reflects a more efficient cigarette. The concept of TUE is critical to the obviousness analysis inasmuch as the discovery of the increased efficiency of a reduced diameter cigarette was Luke’s key to solving his expressed long-felt need to reduce the amount of tobacco used in a cigarette. According to Luke, his recognition that a commercially adequate puff count and sustained smoulder could be achieved in a 10 to 19 mm circumference cigarette was an unobvious advance and successfully achieved the goal of improving the efficiency of burning tobacco.

The question thus before us is whether one skilled in the art of cigarette design would have recognized at the time of the Luke invention that a reduction in circumference of the thinnest cigarette then on the market would yield a cigarette which burns tobacco more efficiently, as TUE is defined by Luke.

The district court found that at the time of the Luke invention, Molins Machine Co. (“Molins”) was a leading manufacturer of cigarette-making machines and sold cigarette machines that could produce cigarettes of different preselected circumferences. The record shows that Molins sold a Mark 5 machine from the 1930s through the 1960s, and that a series of change parts were also sold at that time that enabled the production of varying sizes of cigarettes, including cigarettes with as small as a 15 mm circumference, at a rate of up to 1350 cigarettes per minute. The district court found, therefore, that a person of ordinary skill at the time the invention was made would have had the technical capability to make a 19 mm cigarette if so motivated. The parties do not dispute this finding.

The district court found that the three references to Rice, Resnik, and Muramat-su, in combination, provided the motivation for such change by teaching that reducing the circumference would save money. We discuss these findings and each of the cited references below.

The first of the three references relied on by the district court is an article written by R.L. Rice. R.L. Rice, A Weight Loss Technique for Determining Rate of Static Bum, Tobacco Science, Dec. 1970, at 173 (“Rice article”). The district court found that the Rice article taught that a directly proportional relationship existed between the static burn rate of a cigarette and its circumference. The district court also found that while the test data in the Rice article only included circumferences from 23 mm to 27 mm, Rice did not limit his results to that range, and the extension of the directly proportional relationship down to circumferences as low as 19 mm would not be unexpected.

B & W argues that the Rice article does not close the gap between the claimed 19 mm circumference and the 20.8 mm circumference of the More cigarette. B & W also argues that the Rice article does not address claimed limitations such as tobacco density, burn rate, TUE, or sustained smoulder, nor address features such as an acceptable puff count, acceptable resistance to draw, and palatability, which B & W associates with commercially acceptable quality. PM responds that the district court was correct in finding that an extension of the Rice relationship to 19 mm would not be unexpected. As support for this contention, PM notes that the Rice relationship actually predicts the static burn rate for the More cigarette, and predicts the claimed range of static burn rates for cigarettes having a 10-19 mm circumference.

We discern no clear error in the district court’s findings. The Rice article itself includes an equation, as the district court noted, showing the directly proportional relationship between a cigarette’s static burn rate and its circumference. See Rice article at 174. The Rice article also provides, in Table 4 for example, data for circumferences as low as 23 mm. While such data does not predict with certainty that the relationship would hold at 19 mm, the district court is not clearly erroneous in concluding that it would have been an expected result. B & W’s arguments regarding the claimed features and commercially acceptable quality are inapposite because the Rice article was not cited by the district court as a reference for any of these attributes. Rice, however, did not address the effect that decreasing the circumference had on TUE or the puff count, so we turn next to the Resnik article.

The second reference relied on by the district court is an article written by Dr. Frank Resnik. Frank Resnik, Factors Affecting Static Bum Rate, Tobacco Science, Sept. 1977, at 103 (“Resnik article”). The district court found that the Resnik article, as with the Rice article, taught the directly proportional relationship between circumference and static burn rate and provided experimental data for circumferences as low as 23 mm. More importantly, the district court found that Resnik taught that a reduction in circumference resulted in a decreased value of TUE (increased efficiency), although Resnik did not refer to it as such. The district court found that this teaching provided a motivation to combine the references and make cigarettes of smaller circumference because cigarettes with decreased TUE values use less tobacco and therefore cost less to produce.

B & W echoes the arguments it levied against the Rice article, asserting that the Resnik article does not close the gap between the claimed 19 mm circumference and the 20.8 mm circumference of the More cigarette. B & W also argues that the Resnik article does not address the additional claim limitations or the various features that B & W associates with commercially acceptable quality. We note, however, that the district court did not cite the Resnik article for these attributes. B & W does not challenge the district court’s finding that the Resnik article teaches that the value of TUE decreases as circumference decreases. PM responds by pointing out that the Resnik article expresses the directly proportional relationship between circumference and static burn rate without any boundary on the range of circumferences for which it holds. PM further notes that Resnik himself testified that the article intended to show that the relationship could be extrapolated beyond the experimental data for 23 mm.

We agree with the district court’s findings. The Resnik article clearly shows, in Figure 9 and the accompanying text for example, the directly proportional relationship between circumference and static burn rate. It also states that “the percentage decrease in puff count caused by decreasing the circumference is not as great as the percentage weight reduction.” Resnik article at 106. Thus, the Resnik article does teach that reducing circumference decreases the value of TUE and this provides a motivation to reduce the circumference of the More cigarette. It is clear, however, that the relationship between circumference and static burn rate cannot hold for all circumferences, and neither the Rice article nor the Resnik article expressly teaches this relationship for circumferences any lower than approximately 23 mm. To fill that void we turn to the Muramatsu article.

The third reference relied on by the district court is a translation of a Japanese-language article written by M. Mura-matsu. M. Muramatsu, Studies on the Transfer Phenomena in Naturally Smoldering Cigarettes, 123 Nippon Senbai Ko-sha Chuo Kenkyusho 9 (1981) (“Muramat-su article”). The district court found that the Muramatsu article taught that the directly proportional relationship between circumference and static burn rate extended, at least theoretically, down to circumferences as low as 18.8 mm. The district court further found that the Muramatsu article, in combination with the Rice and Resnick articles, provided the motivation to make a cigarette with a 19 mm circumference. The district court based its findings on Figure 9-4 of the Muramatsu article. Figure 9-4 plots the circumference versus the static burn rate of several experimental data points. One of the experimental data points is for a circumference of approximately 20.2 mm, as the district court also found. Figure 9-4 further includes a theoretical data point having a circumference of 18.8 mm, which is the smallest circumference of all of the data points. Superimposed on these data points is a best-fit line demonstrating the directly proportional relationship.

B & W notes that the 18.8 mm data point in the Muramatsu article is theoretical and that the article itself does not discuss this theoretical data point. B & W argues that the theoretical data point alone cannot be used as a basis for assuming that the article teaches that the directly proportional relationship extends that far. B & W further argues that the superimposed line is inaccurate because the theoretical data point lies above the line and that this indicates that the directly proportional relationship is already breaking down. Accordingly, B & W repeats its assertion that neither the Muramatsu article nor any other prior art closes the gap to the claimed 19 mm circumference.

We hold that the district court findings are not clearly erroneous. As described above, Figure 9-4 of the Muramatsu article does show that the directly proportional relationship between circumference and static burn rate holds, at least in theory, for circumferences as low as 18.8 mm. We find persuasive the district court’s reasoning that it could not “presume that the inclusion of the data point by Muramatsu was without purpose or scientific reason.” B & W Opinion, slip op. at 21. .The fact that the theoretical data point lies slightly above the best-fit line does not detract from the article’s teaching.

The key to the-motivation to reduce the circumference is the Resnik article’s teaching that the value of TUE decreases as the circumference is reduced. The motivation arises from the fact that the decreasing TUE value results in less tobacco being utilized, thereby saving money. While the Resnik article taught that both the value of TUE and the static burn rate decrease as the circumference is reduced, it did not explicitly teach that either of these relationships holds as the circumference is reduced all the way down to 19 mm. The district court found that the Muramatsu article filled this void with the teaching that static burn rate continues to linearly decrease, at least in theory, as the circumference is reduced to 19 mm. While the Muramatsu article did not explicitly address TUE, we cannot say that we are “left with the definite and firm conviction that a mistake has been committed” by the district court. United States Gypsum, 333 U.S. at 395, 68 S.Ct. 525. The Muramatsu teaching, in combination with the Resnik article’s teaching that TUE values and static burn rate move together, suggests that the value of TUE will also continue to decrease (improved efficiency) as the circumference is reduced to 19 mm. As the district court found, “one skilled in the art of cigarette design armed with the prior art would know that a 10% reduction in circumference of the thinnest cigarette then on the market would yield a cigarette which burns tobacco more efficiently, as TUE is defined by Luke.” B & W Opinion, slip op. at 58. This reduction in the value of TUE provides the motivation to reduce the circumference down to 19 mm.

d. Sustained Smoulder

B & W asserts that even if there were a motivation to reduce the circumference of the More cigarette, there would have been an expectation that a 19 mm cigarette would not be capable of sustained smoulder. The district court specifically addressed this concern. It found that the prior art, including the three references and the market successes of the More and other slim cigarettes, would teach one of ordinary skill that a commercially acceptable cigarette capable of sustained smoulder could be manufactured with a circumference of 19 mm. See B & W Opinion, slip op. at 24-25, 30.

We agree with the district court’s finding regarding sustained smoulder. The inventor of the More cigarette, Cundiff, testified that he had concerns with smoulder, as well as a variety of other interrelated characteristics such as draw and pressure drop. As the district court noted, however, the success of the More revealed that Cundiff had successfully dealt with these concerns for a cigarette with a circumference of 20.8 mm. See B &W Opinion, slip op. at 30. It is not clearly erroneous to expect, as the district court did, that a person of ordinary skill would have been able to address these concerns adequately while reducing the circumference another 8.7% down to 19 mm. Further, B & W admits that the static burn rate at which conventional commercial cigarettes self-extinguish is in the range of 25-40 mg/min. The static burn rate of the More cigarette was found to be 39-42 mg/min. Given an 8.7% reduction in circumference, the Rice formula, which was described earlier and which was found to be extendible to 19 mm by Muramatsu’s teaching, yields an expected static burn rate of 35.6-38.3 mg/min. (91.3% of the range of 39-42 mg/min.) for a 19 mm cigarette. This is well above B & W’s stated lower limit of 25 mg/min. for conventional cigarettes.

e. Secondary Indicators of Nonobviousness

As outlined earlier, Graham and its progeny require the consideration of various secondary indicators of nonobviousness. The secondary indicators listed in Graham are: (1) commercial success; (2) long-felt but unsolved needs; and (3) failure of others. See Graham, 383 U.S. at 17, 86 S.Ct. 684. Other secondary indicators have been considered as well. See Environmental Designs, Ltd. v. Union Oil Co. of Cal., 713 F.2d 693, 697-98, 218 USPQ 865, 869 (Fed.Cir.1983) (considering skepticism or disbelief before the invention as an indicator of nonobviousness); Allen Archery, Inc. v. Browning Mfg. Co., 819 F.2d 1087, 1092, 2 USPQ2d 1490, 1493 (Fed.Cir.1987) (considering copying, praise, unexpected results, and industry acceptance as indicators of nonobviousness); Diversitech Corp. v. Century Steps, Inc., 850 F.2d 675, 679, 7 USPQ2d 1315, 1319 (Fed.Cir.1988) (considering copying as an indicator of nonobviousness). The district court made findings related to a number of these secondary indicators.

i. Commercial Success

We examine separately the commercial success of the Capri and the VSSS. With regard to the Capri, the district court found from the evidence before it that it was “impossible ... to distinguish market share resulting from the patented attributes of the Capri cigarette, from that which was achieved through targeted marketing and image development.” B & W Opinion, slip op. at 61. B & W argues that the district court improperly shifted the burden to B & W to prove a nexus between the commercial success of Capri and the claimed features, and that such a nexus should be presumed because the Capri embodies the claimed features. PM responds that it produced sufficient evidence to demonstrate that Capri’s sales were unrelated to its patented features, thus overcoming any presumption of nexus, and that no burden was improperly shifted to B & W. As explained below, we hold that the district court was not clearly erroneous in finding that any nexus which may have been established for the Capri was rebutted by the evidence of record.

A nexus between commercial success and the claimed features is required. See J.T. Eaton & Co. v. Atlantic Paste & Glue Co., 106 F.3d 1563, 1571, 41 USPQ2d 1641, 1647 (Fed.Cir.1997); Demaco Corp. v. F. Von Langsdorff Licensing Ltd., 851 F.2d 1387, 1392, 7 USPQ2d 1222, 1226 (Fed.Cir.1988). However, if the marketed product embodies the claimed features, and is' coextensive with them, then a nexus is presumed and the burden shifts to the party asserting obviousness to present evidence to rebut the presumed nexus. See J.T. Eaton, 106 F.3d at 1571, 41 USPQ2d at 1647; Demaco, 851 F.2d at 1392-93, 7 USPQ2d at 1226. The presumed nexus cannot be rebutted with mere argument; evidence must be put forth. See Demaco, 851 F.2d at 1393, 7 USPQ2d at 1226-27 (“It is thus the task of the challenger to adduce evidence.... [Argument and conjecture are insufficient.”) (internal quotations and citation omitted). In this case, a nexus should be presumed because the Capri encompasses the claimed features.

However, there is ample evidence of record which was presented to rebut this presumed nexus. The record shows that another slim cigarette brand, containing all of the claimed features but not targeting female smokers, was a commercial failure. The record also shows that B & W marketed the Capri toward female smokers and that the feminine packaging of the Capri was important to these smokers and influenced their purchase decisions. The record further shows that B & W engaged in promotional offers for years after the Capri launch, and it indicates that many Capri smokers originally tried Capri as the result of a promotion and would discontinue smoking Capri without the promotions.

The district court did not consider the commercial success of the VSSS, PM’s competing product, as a secondary indicator of nonobviousness for the Luke patent. B & W argues that this was error, in light of the fact that the district court found the VSSS to infringe the Luke patent. See Gambro Lundia AB v. Baxter Healthcare Corp., 110 F.3d 1573, 1579, 42 USPQ2d 1378, 1384 (Fed.Cir.1997) (considering the commercial success of the infringing product as evidence of the commercial success of the claimed invention). PM responds that the combined market share of the VSSS and the Capri is only 1% and that this is insufficient to support a finding of commercial success.

We agree with B & W that the district court erred by not considering the success of the VSSS. Our case law provides that the success of an infringing product is considered to be evidence of the commercial success of the claimed invention. See id. However, as we discuss later after reviewing the remaining secondary indicators of nonobviousness, the district court’s error is harmless because the modest level of commercial activity and limited market share achieved by the VSSS cannot overcome the strong evidence of obviousness. See Richardson-Vicks, 122 F.3d at 1483, 44 USPQ2d at 1187.

ii. Additional Secondary Indicators

With regard to other secondary indicators of nonobviousness, the district court found that: (1) there was no evidence that others had tried and failed to create a reduced circumference cigarette; (2) there was no long-felt b.ut unmet need to use less tobacco in a cigarette; and (3) there were no unexpected results. B & W does not appear to challenge these specific findings. Moreover, the record supports each of these findings and we hold that the district court was not clearly erroneous.

B & W argues however, and we agree, that the district court erred with regard to certain other secondary indicators. Specifically, B & W asserts that the district court erred as a matter of law in discounting PM’s statements of praise for the Capri, in failing to consider PM’s skepticism and Cundiffs skepticism, and in failing to consider PM’s copying of the Capri. Accordingly, in reaching the ultimate legal determination regarding obviousness, we will accept B & W’s characterization of PM’s skepticism, praise, and copying of the Capri, as well as Cundiffs skepticism.

The scope of these errors is limited, however, by two district court findings that are not clearly erroneous. First, the district court found that there was no evidence that any other tobacco company had praised the Capri. Second, the district court found B & W’s skepticism and characterization of the conventional wisdom unpersuasive, stating:

B & W offered some testimony that it was the conventional wisdom, prior to Luke’s invention, that a cigarette in the range of 10 to 19 mm would ‘burn up like a fuse’ or would not be capable of sustained smoulder or would be otherwise commercially unacceptable. However, the literature of Rice and Muramatsu, coupled with the existing cigarettes in the industry would have suggested otherwise to one skilled in the ait of cigarette design.

B & W Opinion, slip op. at 24. As we discuss immediately below, these limited district court errors are harmless, even when coupled with the presumed market share of the VSSS, because they cannot overcome the strong evidence of obviousness.

4. Ultimate Determination of Obviousness

As stated earlier, the ultimate determination of whether an invention is obvious is a legal question based on the totality of the evidence. See Richardson-Vicks, 122 F.3d at 1483, 44 USPQ2d at 1187. That evidence includes the district court’s findings, which we have upheld, that the prior art: (1) included the More cigarette which met all of the limitations of the claims at issue except the circumference limitation; (2) provided motivation to reduce the circumference of the More by less than 9% to the claimed range; and (3) taught that sustained smoulder could be achieved at a 19 mm circumference. This constitutes overwhelming evidence of obviousness, particularly in light of the relatively small difference between the prior art More cigarette and the claimed invention, and the high degree of skill for the ordinary artisan.

The only evidence which B & W can marshal against these findings consists of the secondary indicators of nonobviousness which the district court erred in not^ considering. Those indicators are: (1) the market share of the VSSS; (2) PM’s skepticism, praise, and copying; and (3) Cun-diffs skepticism. We will assume, as B & W argues, that the VSSS enjoyed a 0.5% market share and we will accept B & W’s characterization of PM’s skepticism, praise, and copying of the Capri, as well as Cundiffs skepticism. We find persuasive, however, the facts that despite PM’s skepticism, praise, and copying it was only able to achieve a 0.5% market share with the VSSS, and that only a single competitor is alleged to have praised or copied the Capri. Further, although Cundiffs skepticism is entitled to some weight, we find persuasive the district court’s disagreement with the purported conventional wisdom, at the time of the Luke invention, that a 19 mm cigarette was not feasible. See B & W Opinion, slip op. at 24. Accordingly, these indicators of nonobviousness cannot overcome the strong evidence of obviousness. See Newell, 864 F.2d at 769, 9 USPQ2d at 1427 (finding obviousness despite strong evidence of commercial success). The district court’s errors in not considering various secondary indicators are, therefore, harmless. See id. at 768, 864 F.2d 757, 9 USPQ2d at 1426 (stating that secondary indicators “do not control the obviousness conclusion”).

We conclude that the prior art would have suggested to one of ordinary skill in the art at the time the ’615 invention was made that claims 1, 4, and 11 should be carried out and would have a reasonable likelihood of success. See In re Dow Chem., 837 F.2d at 473, 5 USPQ2d at 1531. Accordingly, we hold as a matter of law that claims 1; 4, and 11 would have been obvious over the prior art and are, therefore, invalid under 35 U.S.C. § 103.

CONCLUSION

Because the district court did not err in finding claims 1, 4, and 11 obvious over the prior art, we do not address the district court’s other invalidity decision or its decisions regarding infringement and willfulness. For the reasons set forth above, we affirm the district court’s judgment that claims 1, 4, and 11 are invalid under 35 U.S.C. § 103.

AFFIRMED 
      
      . Although the district court's judgment did not identify specific claims, the district court’s opinion specified that only claims 1, 4, and 11 of the '615 patent were in issue in the litigation. See B & W Opinion, slip op. at 6.
     
      
      . We treat the district court’s findings of invalidity and infringement as alternative holdings.
     
      
      . In his deposition, Resnik concedes that the relationship could not extrapolate to a zero circumference.
     