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Proofgold Proposition

∀ x0 . ∀ x1 : ι → ι → ο . ∀ x2 : ι → ι → ι → ο . ∀ x3 : ι → ο . ∀ x4 x5 x6 . ∀ x7 x8 : ι → ο . ∀ x9 : ι → ι → ι . ∀ x10 : ι → ι → ο . ∀ x11 x12 x13 . ∀ x14 : ι → ο . ∀ x15 x16 x17 x18 x19 x20 x21 x22 x23 x24 x25 x26 . ∀ x27 x28 x29 : ι → ο . ∀ x30 . ∀ x31 : ι → ι . ∀ x32 . ∀ x33 : ι → ι . ∀ x34 x35 x36 : ι → ο . ∀ x37 . ∀ x38 : ι → ι → ο . ∀ x39 . ∀ x40 : ι → ι → ι . ∀ x41 x42 : ι → ο . ∀ x43 x44 . ∀ x45 : ι → ι → ι . ((x45 x44 x44 = x44False)False)((x1 x44 x0False)False)((x1 x44 x43False)False)((x2 x44 x0 x43False)False)((x42 x44False)False)(x3 x44False)(∀ x46 . x41 x46(x45 x44 x46 = x46False)False)(∀ x46 x47 x48 . x41 x48x41 x46x41 x47(x45 (x45 x48 x46) x47 = x45 x48 (x45 x46 x47)False)False)(∀ x46 x47 x48 . x41 x48x41 x46x41 x47(x40 (x40 x48 x46) x47 = x40 x48 (x40 x46 x47)False)False)(∀ x46 x47 x48 . x41 x48x41 x46x41 x47(x45 (x40 x48 x46) x47 = x40 (x45 x48 x47) (x45 x46 x47)False)False)((x41 x39False)False)(∀ x46 x47 . x41 x47x41 x46(x41 (x45 x47 x46)False)False)(∀ x46 x47 . x41 x47x41 x46(x41 (x40 x47 x46)False)False)(∀ x46 x47 . x41 x47x41 x46(x45 x47 x46 = x45 x46 x47False)False)(∀ x46 x47 . x41 x47x41 x46(x40 x47 x46 = x40 x46 x47False)False)(∀ x46 x47 . x3 x47(x47 = x46False)x3 x46False)(∀ x46 x47 . x38 x46 x47x3 x47False)(∀ x46 . x3 x46(x46 = x4False)False)(∀ x46 x47 . x1 x46 x47(x3 x47False)(x38 x46 x47False)False)((x41 x5False)False)(x3 x5False)(x3 x6False)((x3 x37False)False)(∀ x46 x47 . (x3 x47False)x41 x47(x3 x46False)x41 x46x3 (x45 x47 x46)False)(∀ x46 . x3 x46(x36 x46False)False)(∀ x46 . x3 x46(x7 x46False)False)(∀ x46 . x3 x46(x35 x46False)False)(∀ x46 . x3 x46(x8 x46False)False)(∀ x46 . x1 x46 x0(x34 x46False)False)(∀ x46 . x1 x46 x0(x41 x46False)False)(∀ x46 x47 x48 . (x3 x48False)(x3 x46False)x1 x46 (x33 x48)x2 x47 x48 x46(x1 x47 x48False)False)((x1 x43 (x33 x0)False)False)(∀ x46 x47 x48 . (x3 x48False)(x3 x46False)x1 x46 (x33 x48)x1 x47 x46(x2 x47 x48 x46False)False)(∀ x46 x47 x48 . (x3 x48False)(x3 x46False)x1 x46 (x33 x48)x2 x47 x48 x46(x1 x47 x46False)False)((x43 = x32False)False)(∀ x46 x47 . (x3 x47False)(x3 x46False)x1 x46 (x33 x47)(x2 (x9 x46 x47) x47 x46False)False)(∀ x46 . (x1 (x31 x46) x46False)False)(∀ x46 x47 x48 . x38 x46 x47x1 x47 (x33 x48)x3 x48False)(∀ x46 x47 x48 . x38 x47 x48x1 x48 (x33 x46)(x1 x47 x46False)False)(∀ x46 x47 . x10 x47 x46(x1 x47 (x33 x46)False)False)(∀ x46 x47 . x1 x47 (x33 x46)(x10 x47 x46False)False)(∀ x46 x47 . x38 x47 x46(x1 x47 x46False)False)((x1 x4 x32False)False)((x7 x11False)False)(x3 x11False)((x7 x12False)False)((x34 x30False)False)((x8 x13False)False)(∀ x46 x47 . x34 x47x34 x46(x34 (x45 x47 x46)False)False)((x8 x32False)False)(x3 x32False)(∀ x46 x47 . x34 x47x34 x46(x34 (x40 x47 x46)False)False)(∀ x46 x47 . (x42 x47False)x34 x47(x42 x46False)x34 x46x29 (x45 x47 x46)False)((x3 x4False)False)(∀ x46 x47 . (x42 x47False)x34 x47(x42 x46False)x34 x46x42 (x40 x47 x46)False)(∀ x46 . x1 x46 x32(x7 x46False)False)(∀ x46 . x7 x46(x8 x46False)False)(∀ x46 x47 . x8 x47x1 x46 x47(x8 x46False)False)(∀ x46 . x34 x46(x28 x46False)False)(∀ x46 . x34 x46(x41 x46False)False)(∀ x46 . x7 x46(x28 x46False)False)(∀ x46 . x7 x46(x34 x46False)False)(∀ x46 . x7 x46(x41 x46False)False)(∀ x46 . x8 x46(x14 x46False)False)(∀ x46 . x8 x46(x27 x46False)False)(∀ x46 x47 . x36 x47x1 x46 (x33 x47)(x36 x46False)False)(∀ x46 x47 . x38 x46 x47x38 x47 x46False)((x28 x15False)False)((x3 x15False)False)((x34 x16False)False)((x28 x16False)False)((x41 x16False)False)((x3 x16False)False)((x29 x17False)False)((x28 x17False)False)((x34 x18False)False)((x29 x18False)False)((x28 x18False)False)((x41 x18False)False)((x42 x19False)False)((x28 x19False)False)((x34 x20False)False)((x42 x20False)False)((x28 x20False)False)((x41 x20False)False)((x8 x21False)False)((x14 x21False)False)((x27 x21False)False)(x3 x21False)((x28 x22False)False)(∀ x46 x47 . (x29 x47False)x34 x47(x29 x46False)x34 x46x29 (x40 x47 x46)False)(∀ x46 x47 . (x29 x47False)x34 x47(x29 x46False)x34 x46x29 (x45 x47 x46)False)(∀ x46 x47 . (x42 x47False)x34 x47(x29 x46False)x34 x46x42 (x45 x46 x47)False)(∀ x46 x47 . (x42 x47False)x34 x47(x29 x46False)x34 x46x42 (x45 x47 x46)False)(∀ x46 x47 . x29 x47x34 x47(x42 x46False)x34 x46(x29 (x40 x46 x47)False)False)(∀ x46 x47 . x29 x47x34 x47(x42 x46False)x34 x46(x29 (x40 x47 x46)False)False)(∀ x46 x47 . x42 x47x34 x47(x29 x46False)x34 x46(x42 (x40 x46 x47)False)False)(∀ x46 x47 . x42 x47x34 x47(x29 x46False)x34 x46(x42 (x40 x47 x46)False)False)(∀ x46 . x28 x46(x42 x46False)(x29 x46False)(x28 x46False)False)(∀ x46 . x28 x46(x42 x46False)(x29 x46False)(x3 x46False)False)(∀ x46 . x3 x46x28 x46x29 x46False)(∀ x46 . x3 x46x28 x46x42 x46False)(∀ x46 . x3 x46x28 x46(x28 x46False)False)(∀ x46 . (x3 x46False)x28 x46(x42 x46False)(x29 x46False)False)(∀ x46 . (x3 x46False)x28 x46(x42 x46False)(x28 x46False)False)(∀ x46 . x28 x46x29 x46x42 x46False)(∀ x46 . x28 x46x29 x46(x28 x46False)False)(∀ x46 . x28 x46x29 x46x3 x46False)(∀ x46 . (x3 x46False)x28 x46(x29 x46False)(x42 x46False)False)(∀ x46 . (x3 x46False)x28 x46(x29 x46False)(x28 x46False)False)(∀ x46 . x28 x46x42 x46x29 x46False)(∀ x46 . x28 x46x42 x46(x28 x46False)False)(∀ x46 . x28 x46x42 x46x3 x46False)(∀ x46 . x27 x46x14 x46(x8 x46False)False)(∀ x46 . (x10 x46 x46False)False)(x45 (x40 x24 x25) (x40 x26 x23) = x40 (x40 (x40 (x45 x24 x26) (x45 x24 x23)) (x45 x25 x26)) (x45 x25 x23)False)((x41 x23False)False)((x41 x26False)False)((x41 x25False)False)((x41 x24False)False)False
type
prop
theory
HotG
name
-
proof
PUWyg..
Megalodon
-
proofgold address
TMU2K..
creator
35160 PrPhD../7965f..
owner
35162 PrPhD../b134b..
term root
278ed..