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Proofgold Proposition

∀ x0 : ι → ι → ο . ∀ x1 : ι → ι . ∀ x2 : ι → ι → ο . ∀ x3 x4 : ι → ο . ∀ x5 : ι → ι → ι → ι → ι → ο . ∀ x6 : ι → ι . ∀ x7 : ι → ο . ∀ x8 : ι → ι → ι → ι . ∀ x9 : ι → ο . ∀ x10 : ι → ι . ∀ x11 x12 : ι → ο . ∀ x13 x14 : ι → ι . ∀ x15 . ∀ x16 x17 : ι → ι → ι → ι → ι . ∀ x18 x19 : ι → ι → ι . ∀ x20 x21 x22 x23 . ∀ x24 : ι → ι → ο . ∀ x25 : ι → ι → ι → ι → ο . ∀ x26 . ∀ x27 : ι → ι . ∀ x28 x29 : ι → ο . ∀ x30 : ι → ι → ο . ∀ x31 : ι → ι . ∀ x32 : ι → ι → ι → ι . ∀ x33 . ∀ x34 : ι → ι → ο . ∀ x35 . ∀ x36 : ι → ο . (∀ x37 x38 . x36 x38(x38 = x37False)x36 x37False)(∀ x37 x38 . x0 x37 x38x36 x38False)(∀ x37 . x36 x37(x37 = x35False)False)(∀ x37 x38 x39 . x0 x37 x38x2 x38 (x1 x39)x36 x39False)(∀ x37 x38 x39 . x0 x38 x39x2 x39 (x1 x37)(x2 x38 x37False)False)(∀ x37 x38 x39 x40 x41 . (x3 x41False)x7 x41x4 x41x2 x37 (x6 x41)x2 x40 (x6 x41)x2 x38 (x6 x41)x2 x39 (x6 x41)x5 x41 x37 x40 x38 x39(x5 x41 x39 x38 x40 x37False)False)(∀ x37 x38 x39 x40 x41 . (x3 x41False)x7 x41x4 x41x2 x37 (x6 x41)x2 x40 (x6 x41)x2 x38 (x6 x41)x2 x39 (x6 x41)x5 x41 x37 x40 x38 x39(x5 x41 x39 x38 x37 x40False)False)(∀ x37 x38 x39 x40 x41 . (x3 x41False)x7 x41x4 x41x2 x37 (x6 x41)x2 x40 (x6 x41)x2 x38 (x6 x41)x2 x39 (x6 x41)x5 x41 x37 x40 x38 x39(x5 x41 x38 x39 x40 x37False)False)(∀ x37 x38 x39 x40 x41 . (x3 x41False)x7 x41x4 x41x2 x37 (x6 x41)x2 x40 (x6 x41)x2 x38 (x6 x41)x2 x39 (x6 x41)x5 x41 x37 x40 x38 x39(x5 x41 x38 x39 x37 x40False)False)(∀ x37 x38 x39 x40 x41 . (x3 x41False)x7 x41x4 x41x2 x37 (x6 x41)x2 x40 (x6 x41)x2 x38 (x6 x41)x2 x39 (x6 x41)x5 x41 x37 x40 x38 x39(x5 x41 x40 x37 x39 x38False)False)(∀ x37 x38 x39 x40 x41 . (x3 x41False)x7 x41x4 x41x2 x37 (x6 x41)x2 x40 (x6 x41)x2 x38 (x6 x41)x2 x39 (x6 x41)x5 x41 x37 x40 x38 x39(x5 x41 x40 x37 x38 x39False)False)(∀ x37 x38 x39 x40 x41 . (x3 x41False)x7 x41x4 x41x2 x37 (x6 x41)x2 x40 (x6 x41)x2 x38 (x6 x41)x2 x39 (x6 x41)x5 x41 x37 x40 x38 x39(x5 x41 x37 x40 x39 x38False)False)(∀ x37 x38 . x34 x38 x37(x2 x38 (x1 x37)False)False)(∀ x37 x38 . x2 x38 (x1 x37)(x34 x38 x37False)False)(∀ x37 x38 . x2 x37 x38(x36 x38False)(x0 x37 x38False)False)(∀ x37 x38 x39 x40 x41 . (x3 x41False)x7 x41x4 x41x2 x37 (x6 x41)x2 x40 (x6 x41)x2 x38 (x6 x41)x2 x39 (x6 x41)x0 x37 (x8 x41 x40 x38)(x40 = x38False)x5 x41 x40 x38 x37 x39(x0 x39 (x8 x41 x40 x38)False)False)(∀ x37 x38 x39 x40 x41 . (x3 x41False)x7 x41x4 x41x2 x37 (x6 x41)x2 x40 (x6 x41)x2 x38 (x6 x41)x2 x39 (x6 x41)x0 x37 (x8 x41 x40 x38)(x40 = x38False)x0 x39 (x8 x41 x40 x38)(x5 x41 x40 x38 x37 x39False)False)(∀ x37 x38 . x0 x38 x37(x2 x38 x37False)False)(x36 x33False)(∀ x37 . (x34 x37 x37False)False)(∀ x37 x38 x39 . (x3 x39False)x7 x39x4 x39x2 x37 (x6 x39)x2 x38 (x6 x39)(x8 x39 x37 x38 = x32 x39 x37 x38False)False)(∀ x37 . (x9 x37False)x11 x37x36 (x10 x37)False)(∀ x37 . (x9 x37False)x11 x37(x2 (x10 x37) (x1 (x6 x37))False)False)(∀ x37 . (x3 x37False)x11 x37x12 (x13 x37)False)(∀ x37 . (x3 x37False)x11 x37(x2 (x13 x37) (x1 (x6 x37))False)False)(∀ x37 . (x9 x37False)x11 x37(x12 (x14 x37)False)False)(∀ x37 . (x9 x37False)x11 x37x36 (x14 x37)False)(∀ x37 . (x9 x37False)x11 x37(x2 (x14 x37) (x1 (x6 x37))False)False)(∀ x37 . (x3 x37False)x7 x37x4 x37(x30 (x31 x37) x37False)False)(∀ x37 . (x3 x37False)x7 x37x4 x37(x2 (x31 x37) (x1 (x6 x37))False)False)(∀ x37 . (x29 x37False)x11 x37x28 (x6 x37)False)(∀ x37 . x29 x37x11 x37(x28 (x6 x37)False)False)(∀ x37 . x3 x37x11 x37(x12 (x6 x37)False)False)(∀ x37 . (x3 x37False)x11 x37x12 (x6 x37)False)(∀ x37 . (x9 x37False)x11 x37x36 (x6 x37)False)(∀ x37 . x9 x37x11 x37(x36 (x6 x37)False)False)(∀ x37 . (x2 (x27 x37) x37False)False)((x11 x15False)False)((x4 x26False)False)(∀ x37 . x4 x37(x11 x37False)False)(∀ x37 x38 x39 . (x3 x39False)x7 x39x4 x39x2 x37 (x6 x39)x2 x38 (x6 x39)(x2 (x8 x39 x37 x38) (x1 (x6 x39))False)False)(∀ x37 x38 x39 . (x3 x39False)x7 x39x4 x39x2 x37 (x6 x39)x2 x38 (x6 x39)(x2 (x32 x39 x37 x38) (x1 (x6 x39))False)False)(∀ x37 x38 x39 x40 x41 x42 . (x3 x42False)x7 x42x4 x42x2 x37 (x6 x42)x2 x41 (x6 x42)x2 x38 (x1 (x6 x42))x2 x40 (x6 x42)x2 x39 (x6 x42)(x40 = x39False)x38 = x8 x42 x40 x39x5 x42 x37 x41 x40 x39(x25 x42 x37 x41 x38False)False)(∀ x37 x38 x39 x40 . (x3 x40False)x7 x40x4 x40x2 x37 (x6 x40)x2 x39 (x6 x40)x2 x38 (x1 (x6 x40))x25 x40 x37 x39 x38(x5 x40 x37 x39 (x17 x38 x39 x37 x40) (x16 x38 x39 x37 x40)False)False)(∀ x37 x38 x39 x40 . (x3 x40False)x7 x40x4 x40x2 x37 (x6 x40)x2 x39 (x6 x40)x2 x38 (x1 (x6 x40))x25 x40 x37 x39 x38(x38 = x8 x40 (x17 x38 x39 x37 x40) (x16 x38 x39 x37 x40)False)False)(∀ x37 x38 x39 x40 . (x3 x40False)x7 x40x4 x40x2 x37 (x6 x40)x2 x39 (x6 x40)x2 x38 (x1 (x6 x40))x25 x40 x37 x39 x38x17 x38 x39 x37 x40 = x16 x38 x39 x37 x40False)(∀ x37 x38 x39 x40 . (x3 x40False)x7 x40x4 x40x2 x37 (x6 x40)x2 x39 (x6 x40)x2 x38 (x1 (x6 x40))x25 x40 x37 x39 x38(x2 (x16 x38 x39 x37 x40) (x6 x40)False)False)(∀ x37 x38 x39 x40 . (x3 x40False)x7 x40x4 x40x2 x37 (x6 x40)x2 x39 (x6 x40)x2 x38 (x1 (x6 x40))x25 x40 x37 x39 x38(x2 (x17 x38 x39 x37 x40) (x6 x40)False)False)(∀ x37 x38 x39 x40 . (x3 x40False)x7 x40x4 x40x2 x37 (x1 (x6 x40))x2 x39 (x6 x40)x2 x38 (x6 x40)(x39 = x38False)x37 = x8 x40 x39 x38(x30 x37 x40False)False)(∀ x37 x38 . (x3 x38False)x7 x38x4 x38x2 x37 (x1 (x6 x38))x30 x37 x38(x37 = x8 x38 (x19 x37 x38) (x18 x37 x38)False)False)(∀ x37 x38 . (x3 x38False)x7 x38x4 x38x2 x37 (x1 (x6 x38))x30 x37 x38x19 x37 x38 = x18 x37 x38False)(∀ x37 x38 . (x3 x38False)x7 x38x4 x38x2 x37 (x1 (x6 x38))x30 x37 x38(x2 (x18 x37 x38) (x6 x38)False)False)(∀ x37 x38 . (x3 x38False)x7 x38x4 x38x2 x37 (x1 (x6 x38))x30 x37 x38(x2 (x19 x37 x38) (x6 x38)False)False)(∀ x37 x38 x39 . (x3 x39False)x7 x39x4 x39x2 x37 (x6 x39)x2 x38 (x6 x39)(x8 x39 x37 x38 = x8 x39 x38 x37False)False)(∀ x37 . x11 x37x24 x37 x35(x9 x37False)False)(∀ x37 . x11 x37x9 x37(x24 x37 x35False)False)(∀ x37 . x11 x37(x29 x37False)x3 x37False)(∀ x37 . x11 x37x3 x37(x29 x37False)False)(∀ x37 . x11 x37(x29 x37False)x29 x37False)(∀ x37 . x11 x37(x29 x37False)x9 x37False)(∀ x37 . x11 x37x9 x37(x29 x37False)False)(∀ x37 . x11 x37x9 x37(x9 x37False)False)(∀ x37 . x11 x37(x3 x37False)x9 x37False)(∀ x37 . x11 x37x9 x37(x3 x37False)False)(∀ x37 . x11 x37(x3 x37False)x9 x37False)(∀ x37 . x11 x37x24 x37 x33(x3 x37False)False)(∀ x37 . x11 x37x24 x37 x33x9 x37False)(∀ x37 . x11 x37(x9 x37False)x3 x37(x24 x37 x33False)False)(∀ x37 x38 . x0 x37 x38x0 x38 x37False)((x25 x22 x23 x21 x20False)(x0 x21 x20False)False)(x0 x21 x20x25 x22 x23 x21 x20False)((x0 x23 x20False)False)((x30 x20 x22False)False)((x2 x20 (x1 (x6 x22))False)False)((x2 x21 (x6 x22)False)False)((x2 x23 (x6 x22)False)False)((x4 x22False)False)((x7 x22False)False)(x3 x22False)False
type
prop
theory
HotG
name
-
proof
PUa79..
Megalodon
-
proofgold address
TMGCq..
creator
35123 PrPhD../955c3..
owner
35125 PrPhD../4dfa0..
term root
23c9e..