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Proofgold Proposition

∀ x0 : ι → ι → ο . ∀ x1 : ι → ι . ∀ x2 : ι → ι → ο . ∀ x3 : ι → ι → ι → ι → ι → ο . ∀ x4 : ι → ι → ι → ι . ∀ x5 : ι → ι → ο . ∀ x6 : ι → ο . ∀ x7 : ι → ι . ∀ x8 x9 : ι → ο . ∀ x10 x11 : ι → ι . ∀ x12 . ∀ x13 x14 : ι → ι → ι . ∀ x15 : ι → ι → ι → ι → ι . ∀ x16 : ι → ι → ο . ∀ x17 x18 . ∀ x19 : ι → ο . ∀ x20 x21 x22 x23 x24 x25 x26 . ∀ x27 : ι → ι . ∀ x28 x29 : ι → ο . ∀ x30 : ι → ι → ι → ι . ∀ x31 . ∀ x32 : ι → ι → ι → ι → ι . ∀ x33 : ι → ι → ο . ∀ x34 : ι → ο . ∀ x35 : ι → ι . ∀ x36 : ι → ι → ι → ι → ο . ∀ x37 x38 : ι → ο . ∀ x39 . ∀ x40 : ι → ο . (∀ x41 x42 . x40 x42(x42 = x41False)x40 x41False)(∀ x41 x42 . x0 x41 x42x40 x42False)(∀ x41 . x40 x41(x41 = x39False)False)(∀ x41 x42 x43 . x0 x41 x42x2 x42 (x1 x43)x40 x43False)(∀ x41 x42 x43 x44 x45 x46 . (x38 x46False)x34 x46x37 x46x2 x41 (x35 x46)x2 x45 (x35 x46)x2 x42 (x35 x46)x2 x44 (x35 x46)x2 x43 (x35 x46)x36 x46 x41 x45 x44x36 x46 x41 x42 x43x44 = x43(x36 x46 x41 x45 x42False)(x43 = x41False)False)(∀ x41 x42 x43 x44 x45 x46 . (x38 x46False)x34 x46x37 x46x2 x41 (x35 x46)x2 x45 (x35 x46)x2 x42 (x35 x46)x2 x44 (x35 x46)x2 x43 (x35 x46)x36 x46 x41 x45 x44x36 x46 x41 x42 x43x44 = x43(x36 x46 x41 x45 x42False)(x44 = x41False)False)(∀ x41 x42 x43 . x0 x42 x43x2 x43 (x1 x41)(x2 x42 x41False)False)(∀ x41 x42 x43 x44 x45 . (x38 x45False)x34 x45x37 x45x2 x41 (x35 x45)x2 x44 (x35 x45)x2 x42 (x35 x45)x2 x43 (x35 x45)x3 x45 x41 x44 x42 x43(x3 x45 x43 x42 x44 x41False)False)(∀ x41 x42 x43 x44 x45 . (x38 x45False)x34 x45x37 x45x2 x41 (x35 x45)x2 x44 (x35 x45)x2 x42 (x35 x45)x2 x43 (x35 x45)x3 x45 x41 x44 x42 x43(x3 x45 x43 x42 x41 x44False)False)(∀ x41 x42 x43 x44 x45 . (x38 x45False)x34 x45x37 x45x2 x41 (x35 x45)x2 x44 (x35 x45)x2 x42 (x35 x45)x2 x43 (x35 x45)x3 x45 x41 x44 x42 x43(x3 x45 x42 x43 x44 x41False)False)(∀ x41 x42 x43 x44 x45 . (x38 x45False)x34 x45x37 x45x2 x41 (x35 x45)x2 x44 (x35 x45)x2 x42 (x35 x45)x2 x43 (x35 x45)x3 x45 x41 x44 x42 x43(x3 x45 x42 x43 x41 x44False)False)(∀ x41 x42 x43 x44 x45 . (x38 x45False)x34 x45x37 x45x2 x41 (x35 x45)x2 x44 (x35 x45)x2 x42 (x35 x45)x2 x43 (x35 x45)x3 x45 x41 x44 x42 x43(x3 x45 x44 x41 x43 x42False)False)(∀ x41 x42 x43 x44 x45 . (x38 x45False)x34 x45x37 x45x2 x41 (x35 x45)x2 x44 (x35 x45)x2 x42 (x35 x45)x2 x43 (x35 x45)x3 x45 x41 x44 x42 x43(x3 x45 x44 x41 x42 x43False)False)(∀ x41 x42 x43 x44 x45 . (x38 x45False)x34 x45x37 x45x2 x41 (x35 x45)x2 x44 (x35 x45)x2 x42 (x35 x45)x2 x43 (x35 x45)x3 x45 x41 x44 x42 x43(x3 x45 x41 x44 x43 x42False)False)(∀ x41 x42 . x33 x42 x41(x2 x42 (x1 x41)False)False)(∀ x41 x42 . x2 x42 (x1 x41)(x33 x42 x41False)False)(∀ x41 x42 . x2 x41 x42(x40 x42False)(x0 x41 x42False)False)(∀ x41 x42 x43 x44 . (x38 x44False)x34 x44x37 x44x2 x41 (x35 x44)x2 x43 (x35 x44)x2 x42 (x1 (x35 x44))x5 x42 x44x0 x41 x42x0 x43 x42(x41 = x43False)(x42 = x4 x44 x41 x43False)False)(∀ x41 x42 x43 x44 . (x38 x44False)x34 x44x37 x44x2 x41 (x35 x44)x2 x43 (x35 x44)x2 x42 (x1 (x35 x44))x5 x42 x44x0 x41 x42x0 x43 x42(x41 = x43False)x41 = x43False)(∀ x41 x42 x43 x44 . (x38 x44False)x34 x44x37 x44x2 x41 (x35 x44)x2 x43 (x35 x44)x2 x42 (x1 (x35 x44))x42 = x4 x44 x41 x43(x41 = x43False)x41 = x43False)(∀ x41 x42 x43 x44 . (x38 x44False)x34 x44x37 x44x2 x41 (x35 x44)x2 x43 (x35 x44)x2 x42 (x1 (x35 x44))x42 = x4 x44 x41 x43(x41 = x43False)(x0 x43 x42False)False)(∀ x41 x42 x43 x44 . (x38 x44False)x34 x44x37 x44x2 x41 (x35 x44)x2 x43 (x35 x44)x2 x42 (x1 (x35 x44))x42 = x4 x44 x41 x43(x41 = x43False)(x0 x41 x42False)False)(∀ x41 x42 x43 x44 . (x38 x44False)x34 x44x37 x44x2 x41 (x35 x44)x2 x43 (x35 x44)x2 x42 (x1 (x35 x44))x42 = x4 x44 x41 x43(x41 = x43False)(x5 x42 x44False)False)(∀ x41 x42 x43 x44 x45 . (x38 x45False)x34 x45x37 x45x2 x41 (x35 x45)x2 x44 (x35 x45)x2 x42 (x35 x45)x2 x43 (x35 x45)x0 x41 (x4 x45 x44 x42)(x44 = x42False)x3 x45 x44 x42 x41 x43(x0 x43 (x4 x45 x44 x42)False)False)(∀ x41 x42 x43 x44 x45 . (x38 x45False)x34 x45x37 x45x2 x41 (x35 x45)x2 x44 (x35 x45)x2 x42 (x35 x45)x2 x43 (x35 x45)x0 x41 (x4 x45 x44 x42)(x44 = x42False)x0 x43 (x4 x45 x44 x42)(x3 x45 x44 x42 x41 x43False)False)(∀ x41 x42 x43 x44 x45 . (x38 x45False)x34 x45x37 x45x2 x41 (x35 x45)x2 x44 (x35 x45)x2 x42 (x35 x45)x2 x43 (x1 (x35 x45))x5 x43 x45x0 x41 x43x0 x44 x43x0 x42 x43(x36 x45 x41 x44 x42False)False)(∀ x41 x42 x43 x44 . (x38 x44False)x34 x44x37 x44x2 x41 (x35 x44)x2 x43 (x35 x44)x2 x42 (x35 x44)x36 x44 x41 x43 x42(x0 x42 (x32 x42 x43 x41 x44)False)False)(∀ x41 x42 x43 x44 . (x38 x44False)x34 x44x37 x44x2 x41 (x35 x44)x2 x43 (x35 x44)x2 x42 (x35 x44)x36 x44 x41 x43 x42(x0 x43 (x32 x42 x43 x41 x44)False)False)(∀ x41 x42 x43 x44 . (x38 x44False)x34 x44x37 x44x2 x41 (x35 x44)x2 x43 (x35 x44)x2 x42 (x35 x44)x36 x44 x41 x43 x42(x0 x41 (x32 x42 x43 x41 x44)False)False)(∀ x41 x42 x43 x44 . (x38 x44False)x34 x44x37 x44x2 x41 (x35 x44)x2 x43 (x35 x44)x2 x42 (x35 x44)x36 x44 x41 x43 x42(x5 (x32 x42 x43 x41 x44) x44False)False)(∀ x41 x42 x43 x44 . (x38 x44False)x34 x44x37 x44x2 x41 (x35 x44)x2 x43 (x35 x44)x2 x42 (x35 x44)x36 x44 x41 x43 x42(x2 (x32 x42 x43 x41 x44) (x1 (x35 x44))False)False)(∀ x41 x42 . x0 x42 x41(x2 x42 x41False)False)(∀ x41 x42 x43 . (x38 x43False)x34 x43x37 x43x2 x41 (x35 x43)x2 x42 (x35 x43)(x0 x42 (x4 x43 x41 x42)False)False)(∀ x41 x42 x43 . (x38 x43False)x34 x43x37 x43x2 x41 (x35 x43)x2 x42 (x35 x43)(x0 x41 (x4 x43 x41 x42)False)False)(x40 x31False)(∀ x41 . (x33 x41 x41False)False)(∀ x41 x42 x43 . (x38 x43False)x34 x43x37 x43x2 x41 (x35 x43)x2 x42 (x35 x43)(x4 x43 x41 x42 = x30 x43 x41 x42False)False)(∀ x41 . (x6 x41False)x8 x41x40 (x7 x41)False)(∀ x41 . (x6 x41False)x8 x41(x2 (x7 x41) (x1 (x35 x41))False)False)(∀ x41 . (x38 x41False)x8 x41x9 (x10 x41)False)(∀ x41 . (x38 x41False)x8 x41(x2 (x10 x41) (x1 (x35 x41))False)False)(∀ x41 . (x6 x41False)x8 x41(x9 (x11 x41)False)False)(∀ x41 . (x6 x41False)x8 x41x40 (x11 x41)False)(∀ x41 . (x6 x41False)x8 x41(x2 (x11 x41) (x1 (x35 x41))False)False)(∀ x41 . (x29 x41False)x8 x41x28 (x35 x41)False)(∀ x41 . x29 x41x8 x41(x28 (x35 x41)False)False)(∀ x41 . x38 x41x8 x41(x9 (x35 x41)False)False)(∀ x41 . (x38 x41False)x8 x41x9 (x35 x41)False)(∀ x41 . (x6 x41False)x8 x41x40 (x35 x41)False)(∀ x41 . x6 x41x8 x41(x40 (x35 x41)False)False)(∀ x41 . (x2 (x27 x41) x41False)False)((x8 x12False)False)((x37 x26False)False)(∀ x41 . x37 x41(x8 x41False)False)(∀ x41 x42 x43 . (x38 x43False)x34 x43x37 x43x2 x41 (x35 x43)x2 x42 (x35 x43)(x2 (x4 x43 x41 x42) (x1 (x35 x43))False)False)(∀ x41 x42 x43 . (x38 x43False)x34 x43x37 x43x2 x41 (x35 x43)x2 x42 (x35 x43)(x2 (x30 x43 x41 x42) (x1 (x35 x43))False)False)(∀ x41 x42 x43 x44 . (x38 x44False)x34 x44x37 x44x2 x41 (x1 (x35 x44))x2 x43 (x35 x44)x2 x42 (x35 x44)(x43 = x42False)x41 = x4 x44 x43 x42(x5 x41 x44False)False)(∀ x41 x42 . (x38 x42False)x34 x42x37 x42x2 x41 (x1 (x35 x42))x5 x41 x42(x41 = x4 x42 (x14 x41 x42) (x13 x41 x42)False)False)(∀ x41 x42 . (x38 x42False)x34 x42x37 x42x2 x41 (x1 (x35 x42))x5 x41 x42x14 x41 x42 = x13 x41 x42False)(∀ x41 x42 . (x38 x42False)x34 x42x37 x42x2 x41 (x1 (x35 x42))x5 x41 x42(x2 (x13 x41 x42) (x35 x42)False)False)(∀ x41 x42 . (x38 x42False)x34 x42x37 x42x2 x41 (x1 (x35 x42))x5 x41 x42(x2 (x14 x41 x42) (x35 x42)False)False)(∀ x41 x42 x43 x44 . (x38 x44False)x34 x44x37 x44x2 x41 (x35 x44)x2 x43 (x35 x44)x2 x42 (x1 (x35 x44))(x36 x44 x41 x43 (x15 x42 x43 x41 x44)False)(x0 (x15 x42 x43 x41 x44) x42False)(x42 = x30 x44 x41 x43False)False)(∀ x41 x42 x43 x44 . (x38 x44False)x34 x44x37 x44x2 x41 (x35 x44)x2 x43 (x35 x44)x2 x42 (x1 (x35 x44))x0 (x15 x42 x43 x41 x44) x42x36 x44 x41 x43 (x15 x42 x43 x41 x44)(x42 = x30 x44 x41 x43False)False)(∀ x41 x42 x43 x44 . (x38 x44False)x34 x44x37 x44x2 x41 (x35 x44)x2 x43 (x35 x44)x2 x42 (x1 (x35 x44))(x2 (x15 x42 x43 x41 x44) (x35 x44)False)(x42 = x30 x44 x41 x43False)False)(∀ x41 x42 x43 x44 x45 . (x38 x45False)x34 x45x37 x45x2 x41 (x35 x45)x2 x44 (x35 x45)x2 x42 (x1 (x35 x45))x42 = x30 x45 x41 x44x2 x43 (x35 x45)x36 x45 x41 x44 x43(x0 x43 x42False)False)(∀ x41 x42 x43 x44 x45 . (x38 x45False)x34 x45x37 x45x2 x41 (x35 x45)x2 x44 (x35 x45)x2 x42 (x1 (x35 x45))x42 = x30 x45 x41 x44x2 x43 (x35 x45)x0 x43 x42(x36 x45 x41 x44 x43False)False)(∀ x41 x42 x43 . (x38 x43False)x34 x43x37 x43x2 x41 (x35 x43)x2 x42 (x35 x43)(x4 x43 x41 x42 = x4 x43 x42 x41False)False)(∀ x41 . x8 x41x16 x41 x39(x6 x41False)False)(∀ x41 . x8 x41x6 x41(x16 x41 x39False)False)(∀ x41 . x8 x41(x29 x41False)x38 x41False)(∀ x41 . x8 x41x38 x41(x29 x41False)False)(∀ x41 . x8 x41(x29 x41False)x29 x41False)(∀ x41 . x8 x41(x29 x41False)x6 x41False)(∀ x41 . x8 x41x6 x41(x29 x41False)False)(∀ x41 . x8 x41x6 x41(x6 x41False)False)(∀ x41 . x8 x41(x38 x41False)x6 x41False)(∀ x41 . x8 x41x6 x41(x38 x41False)False)(∀ x41 . x8 x41(x38 x41False)x6 x41False)(∀ x41 . x8 x41x16 x41 x31(x38 x41False)False)(∀ x41 . x8 x41x16 x41 x31x6 x41False)(∀ x41 . x8 x41(x6 x41False)x38 x41(x16 x41 x31False)False)(∀ x41 x42 . x0 x41 x42x0 x42 x41False)(x36 x25 x22 x23 x24False)((x3 x25 x23 x24 x18 x17False)(x36 x25 x22 x23 x17False)False)((x3 x25 x23 x24 x18 x17False)(x3 x25 x20 x24 x21 x17False)False)((x3 x25 x23 x24 x18 x17False)(x3 x25 x23 x20 x18 x21False)False)((x3 x25 x23 x24 x18 x17False)(x36 x25 x22 x20 x21False)False)((x3 x25 x23 x24 x18 x17False)x36 x25 x22 x23 x20False)((x3 x25 x23 x24 x18 x17False)(x2 x21 (x35 x25)False)False)((x3 x25 x23 x24 x18 x17False)(x2 x20 (x35 x25)False)False)((x3 x25 x23 x24 x18 x17False)(x36 x25 x22 x23 x24False)False)((x36 x25 x22 x24 x17False)(x36 x25 x22 x23 x17False)False)((x36 x25 x22 x24 x17False)(x3 x25 x20 x24 x21 x17False)False)((x36 x25 x22 x24 x17False)(x3 x25 x23 x20 x18 x21False)False)((x36 x25 x22 x24 x17False)(x36 x25 x22 x20 x21False)False)((x36 x25 x22 x24 x17False)x36 x25 x22 x23 x20False)((x36 x25 x22 x24 x17False)(x2 x21 (x35 x25)False)False)((x36 x25 x22 x24 x17False)(x2 x20 (x35 x25)False)False)((x36 x25 x22 x24 x17False)(x36 x25 x22 x23 x24False)False)(x36 x25 x22 x23 x24(x36 x25 x22 x23 x17False)False)(x36 x25 x22 x23 x24(x3 x25 x20 x24 x21 x17False)False)(x36 x25 x22 x23 x24(x3 x25 x23 x20 x18 x21False)False)(x36 x25 x22 x23 x24(x36 x25 x22 x20 x21False)False)(x36 x25 x22 x23 x24x36 x25 x22 x23 x20False)(x36 x25 x22 x23 x24(x2 x21 (x35 x25)False)False)(x36 x25 x22 x23 x24(x2 x20 (x35 x25)False)False)(x36 x25 x22 x23 x24(x36 x25 x22 x23 x24False)False)(x22 = x18False)(x22 = x23False)((x36 x25 x22 x23 x17False)False)((x36 x25 x22 x23 x18False)False)((x2 x24 (x35 x25)False)False)((x2 x17 (x35 x25)False)False)((x2 x18 (x35 x25)False)False)((x2 x23 (x35 x25)False)False)((x2 x22 (x35 x25)False)False)((x37 x25False)False)((x19 x25False)False)((x34 x25False)False)(x38 x25False)False
type
prop
theory
HotG
name
-
proof
PUKKP..
Megalodon
-
proofgold address
TMYdq..
creator
35118 PrPhD../b6252..
owner
35120 PrPhD../d6f12..
term root
3b16c..