Question: Are the Nepenthes and Carpobrotus both carnivorous plants?

Context paragraphs:
Nepenthes: Nepenthes ( ), also known as tropical pitcher plants, is a genus of carnivorous plants in the monotypic family Nepenthaceae.  The genus comprises roughly 150 species, and numerous natural and many cultivated hybrids.  They are mostly liana-forming plants of the Old World tropics, ranging from South China, Indonesia, Malaysia and the Philippines; westward to Madagascar (two species) and the Seychelles (one); southward to Australia (three) and New Caledonia (one); and northward to India (one) and Sri Lanka (one).  The greatest diversity occurs on Borneo, Sumatra, and the Philippines, with many endemic species.  Many are plants of hot, humid, lowland areas, but the majority are tropical montane plants, receiving warm days but cool to cold, humid nights year round.  A few are considered tropical alpine, with cool days and nights near freezing.  The name "monkey cups" refers to the fact that monkeys have been observed drinking rainwater from these plants.

Adrian Slack: Adrian Slack is an author and authority on carnivorous plants.  He is the author of two books: "Carnivorous Plants" (1979, 2005) and "Insect-Eating Plants and How to Grow Them" (1986, 2006).

The Carnivorous Plants: The Carnivorous Plants is a major work on carnivorous plants by American botanist Francis Ernest Lloyd.  It was first published in 1942 by the Chronica Botanica Company as the ninth volume of "A New Series of Plant Science Books".  It was reprinted in 1976 by Dover Publications of New York and Constable of London.  Although primarily dealing with plants, the book also briefly covers carnivorous fungi.  The chapter describing the structure and functioning of "Utricularia" traps is particularly detailed.  Lloyd's book was the most important scientific work on carnivorous plants since Charles Darwin's "Insectivorous Plants" of 1875.

Nepenthes (sculpture): Nepenthes is a series of four sculptures by artist Dan Corson, installed in 2013 along Northwest Davis Street in the Old Town Chinatown neighborhood of Portland, Oregon, in the United States.  The work was inspired by the genus of carnivorous plants of the same name, known as tropical pitcher plants.  The sculptures are 17 ft tall and glow in the dark due to photovoltaics.

Carnivorous plant: Carnivorous plants are plants that derive some or most of their nutrients (but not energy) from trapping and consuming animals or protozoans, typically insects and other arthropods. Carnivorous plants have adapted to grow in places where the soil is thin or poor in nutrients, especially nitrogen, such as acidic bogs and rock outcroppings.  Charles Darwin wrote "Insectivorous Plants", the first well-known treatise on carnivorous plants, in 1875.

Gordon Cheers: James Gordon Cheers (born 1954) owned a wholesale carnivorous plant nursery in southeast Australia.  He went on to publish "Carnivorous Plants" (1983) and "A Guide to Carnivorous Plants of the World" (1993).  This was followed by "Killer Plants and How to Grow Them" (1997) for Penguin Books as a Picture Puffin.  The Picture Puffin book won the in Australia in 1997.

California Carnivores: California Carnivores is a plant nursery located at 2833 Old Gravenstein Highway, in Sebastopol, California.  Specializing in the cultivation of carnivorous plants, California Carnivores is home to one of the largest collections of cultivated carnivorous plants in North America, and possibly the world, with more than 1,000 types of carnivorous plant on display or for sale in the retail section of the nursery.

Carpobrotus: Carpobrotus, commonly known as pigface, ice plant, sour fig, and Hottentot fig, is a genus of ground-creeping plants with succulent leaves and large daisy-like flowers.  The name refers to the edible fruits.  It comes from the Ancient Greek "karpos " "fruit" and "brotos " "edible".

Man-eating tree: Man-eating tree can refer to any of the various legendary carnivorous plants large enough to kill and consume a person or other large animal.  The carnivorous plant with the largest known traps is probably Nepenthes rajah, which produces pitchers up to 41 cm tall with a volume up to 3.5 l .  The pitcher of this species are designed to trap arthropods.  However, the same bait may also attract rodents like the summit rat ("Rattus baluensis") and the Mountain treeshrew ("Tupaia montana").  Only very rarely will the rodents fall into the large pitchers of this species.  Other large carnivorous plants that have similar properties include Nepenthes robcantleyi and Nepenthes attenboroughi.

Barry Rice (botanist): Barry Rice is an American botanist, professional carnivorous plant grower and the author of the book "Growing Carnivorous Plants".  Barry Rice maintains the website Sarracenia.com and has a detailed FAQ on many carnivorous plant topics.  He is co-editor of the International Carnivorous Plant Society's journal, the "Carnivorous Plant Newsletter".  He also works as an invasive species specialist under the Global Invasive species Team.  Currently, he is focusing his research on "Utricularia" and its distribution in the western states.  Another project that he also works on is the pollination of "Darlingtonia californica".

Supporting paragraphs: Nepenthes Carpobrotus
Answer: no