Are these products/ingredients ok for acne?

2 cleansers I've been using. Are these ingredients ok for acne sufferers? They are supposed to be oil-free and non-comedogenic.
#1 - Ingredients:
Water , TEA-Lauryl Sulfate , Hexylene Glycol , Disodium Laureth Sulfosuccinate , Triethanolamine , Acrylates/C10-30 Alkyl Acrylate Crosspolymer , Burdock Extract , Grapefruit Extract , Hops Extract , Equisetum Hiemale Extract , Salvia Officinalis (Sage) Leaf Extract , Witch Hazel Extract , Horse Chestnut Extract , Propylene Glycol , Disodium EDTA , Diazolidinyl Urea , Carnauba Wax , Mannitol , Methylparaben , Cellulose , Butylene Glycol , Propylparaben , C9-15 Alkyl Phosphate , Lauramine Oxide , Glycerin , Thermus Thermophillus Ferment , Ethyl Linoleate , Ethyl Linolenate , Hydroxypropyl Methylcellulose , Phenoxyethanol , Talc , Ultramarines , Red 30
#2 - Ingredients:
Sodium Palmitate , Sodium Palm Kernelate , Water , Glycerin , Sodium Cocoyl Isethionate , Stearic Acid , Camellia Oleifera Extract , Aloe Barbadensis Extract , Cucumber Extract , Burdock Extract , Hops Extract , Meadowsweet Extract , Hydrocotyl Extract , Coneflower Extract , Maltodextrin , Bentonite , Sodium Chloride , PEG-6 , Butylene Glycol , PEG-4 , Mannitol , Pentasodium Pentetate , Tetrasodium Etidronate , Tetrasodium EDTA , Cellulose , Lauramine Oxide , Disodium EDTA , C9-15 Alkyl Phosphate , Phenoxyethanol , Tocopheryl Acetate , Methylparaben , Hydroxypropyl Methylcellulose , Titanium Dioxide , Chromium Hydroxide Green , Ultramarines
Thanks! I just want to be sure I'm not making things worse.
#1 - Ingredients:
Water , TEA-Lauryl Sulfate , Hexylene Glycol , Disodium Laureth Sulfosuccinate , Triethanolamine , Acrylates/C10-30 Alkyl Acrylate Crosspolymer , Burdock Extract , Grapefruit Extract , Hops Extract , Equisetum Hiemale Extract , Salvia Officinalis (Sage) Leaf Extract , Witch Hazel Extract , Horse Chestnut Extract , Propylene Glycol , Disodium EDTA , Diazolidinyl Urea , Carnauba Wax , Mannitol , Methylparaben , Cellulose , Butylene Glycol , Propylparaben , C9-15 Alkyl Phosphate , Lauramine Oxide , Glycerin , Thermus Thermophillus Ferment , Ethyl Linoleate , Ethyl Linolenate , Hydroxypropyl Methylcellulose , Phenoxyethanol , Talc , Ultramarines , Red 30
#2 - Ingredients:
Sodium Palmitate , Sodium Palm Kernelate , Water , Glycerin , Sodium Cocoyl Isethionate , Stearic Acid , Camellia Oleifera Extract , Aloe Barbadensis Extract , Cucumber Extract , Burdock Extract , Hops Extract , Meadowsweet Extract , Hydrocotyl Extract , Coneflower Extract , Maltodextrin , Bentonite , Sodium Chloride , PEG-6 , Butylene Glycol , PEG-4 , Mannitol , Pentasodium Pentetate , Tetrasodium Etidronate , Tetrasodium EDTA , Cellulose , Lauramine Oxide , Disodium EDTA , C9-15 Alkyl Phosphate , Phenoxyethanol , Tocopheryl Acetate , Methylparaben , Hydroxypropyl Methylcellulose , Titanium Dioxide , Chromium Hydroxide Green , Ultramarines
Thanks! I just want to be sure I'm not making things worse.
SF Bay Area, CA * "The Angel-Goddess-Guru of Haircoloring" 
3b/c/a mix. medium texture, low porosity
My Motto: Strand Test! some hair pics
[SIGPIC][/SIGPIC] -- gone, but never forgotten.

3b/c/a mix. medium texture, low porosity
My Motto: Strand Test! some hair pics
[SIGPIC][/SIGPIC] -- gone, but never forgotten.
0
Comments
3b/c/a mix. medium texture, low porosity
My Motto: Strand Test! some hair pics
[SIGPIC][/SIGPIC] -- gone, but never forgotten.
http://labellatestarossa.blogspot.ca/
Little Mother of all the Roaches, President-for-Life of the MAC Harlots!
I don't think the formulas have changed, but maybe.
3b/c/a mix. medium texture, low porosity
My Motto: Strand Test! some hair pics
[SIGPIC][/SIGPIC] -- gone, but never forgotten.
Take a break and see how your skin reacts.
Thick, Med-Coarse 2c-3a
Long Layers
20.5 - 25.5 June - 30
Just Below BS