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Proofgold Proposition

∀ x0 : ι → ι → ο . ∀ x1 : ι → ι . ∀ x2 x3 : ι → ι → ο . ∀ x4 : ι → ι . ∀ x5 x6 : ι → ι → ι . ∀ x7 : ι → ι → ι → ι . ∀ x8 : ι → ο . ∀ x9 : ι → ι . ∀ x10 : ι → ι → ι → ι → ι . ∀ x11 x12 : ι → ι → ι → ο . ∀ x13 : ι → ι . ∀ x14 : ι → ο . ∀ x15 : ι → ι → ι → ι . ∀ x16 : ι → ι → ι . ∀ x17 : ι → ι . ∀ x18 : ι → ι → ο . ∀ x19 : ι → ι . ∀ x20 . ∀ x21 : ι → ι . ∀ x22 . ∀ x23 : ι → ι → ι . ∀ x24 x25 : ι → ι . ∀ x26 x27 x28 x29 x30 : ι → ο . ∀ x31 x32 x33 x34 x35 . ∀ x36 x37 x38 x39 x40 x41 : ι → ο . ∀ x42 x43 : ι → ι . ∀ x44 : ι → ι → ο . ∀ x45 . ∀ x46 : ι → ι . ∀ x47 . ∀ x48 : ι → ι . ∀ x49 : ι → ι → ι → ι . ∀ x50 . ∀ x51 : ι → ο . (∀ x52 x53 . x51 x53(x53 = x52False)x51 x52False)(∀ x52 x53 . x0 x52 x53x51 x53False)(∀ x52 . x51 x52(x52 = x50False)False)(∀ x52 x53 x54 . x0 x52 x53x2 x53 (x1 x54)x51 x54False)(∀ x52 x53 x54 . x0 x53 x54x2 x54 (x1 x52)(x2 x53 x52False)False)(∀ x52 x53 . x3 x53 x52(x2 x53 (x1 x52)False)False)(∀ x52 x53 . x2 x53 (x1 x52)(x3 x53 x52False)False)(∀ x52 x53 x54 . (x7 x53 x52 x54 = x6 (x5 x53 x52) (x4 x54)False)False)(∀ x52 x53 . x2 x52 x53(x51 x53False)(x0 x52 x53False)False)(∀ x52 x53 x54 x55 x56 . x8 x56x2 x52 (x13 x56)x2 x55 (x9 x56)x2 x53 (x9 x56)x2 x54 (x9 x56)x12 x56 x55 x52x12 x56 x53 x52x12 x56 x54 x52(x11 x56 (x10 (x9 x56) x55 x53 x54) x52False)False)(∀ x52 x53 x54 x55 x56 . x8 x56x2 x52 (x13 x56)x2 x55 (x9 x56)x2 x53 (x9 x56)x2 x54 (x9 x56)x11 x56 (x10 (x9 x56) x55 x53 x54) x52(x12 x56 x54 x52False)False)(∀ x52 x53 x54 x55 x56 . x8 x56x2 x52 (x13 x56)x2 x55 (x9 x56)x2 x53 (x9 x56)x2 x54 (x9 x56)x11 x56 (x10 (x9 x56) x55 x53 x54) x52(x12 x56 x53 x52False)False)(∀ x52 x53 x54 x55 x56 . x8 x56x2 x52 (x13 x56)x2 x55 (x9 x56)x2 x53 (x9 x56)x2 x54 (x9 x56)x11 x56 (x10 (x9 x56) x55 x53 x54) x52(x12 x56 x55 x52False)False)(∀ x52 x53 . x0 x53 x52(x2 x53 x52False)False)(∀ x52 . (x6 x52 x50 = x52False)False)(∀ x52 x53 x54 x55 . x14 x55x2 x52 (x13 x55)x2 x54 (x1 (x9 x55))x2 x53 (x1 (x9 x55))x11 x55 x54 x52x11 x55 x53 x52(x11 x55 (x15 (x9 x55) x54 x53) x52False)False)(∀ x52 x53 x54 x55 . x14 x55x2 x52 (x13 x55)x2 x54 (x1 (x9 x55))x2 x53 (x1 (x9 x55))x11 x55 (x15 (x9 x55) x54 x53) x52(x11 x55 x53 x52False)False)(∀ x52 x53 x54 x55 . x14 x55x2 x52 (x13 x55)x2 x54 (x1 (x9 x55))x2 x53 (x1 (x9 x55))x11 x55 (x15 (x9 x55) x54 x53) x52(x11 x55 x54 x52False)False)(∀ x52 . (x3 x52 x52False)False)(∀ x52 x53 x54 x55 . (x51 x55False)x2 x52 x55x2 x54 x55x2 x53 x55(x10 x55 x52 x54 x53 = x7 x52 x54 x53False)False)(∀ x52 x53 x54 . (x51 x54False)x2 x52 x54x2 x53 x54(x49 x54 x52 x53 = x5 x52 x53False)False)(∀ x52 x53 . (x51 x53False)x2 x52 x53(x16 x53 x52 = x4 x52False)False)(∀ x52 x53 x54 . x2 x53 (x1 x54)x2 x52 (x1 x54)(x15 x54 x53 x52 = x6 x53 x52False)False)(∀ x52 . (x51 x52False)(x18 (x17 x52) x52False)False)(∀ x52 . (x51 x52False)(x2 (x17 x52) (x1 x52)False)False)(∀ x52 . x18 (x19 x52) x52False)(∀ x52 . (x2 (x19 x52) (x1 x52)False)False)(x51 x20False)(∀ x52 . (x51 (x48 x52)False)False)(∀ x52 . (x2 (x48 x52) (x1 x52)False)False)((x51 x47False)False)(∀ x52 . (x51 x52False)x51 (x21 x52)False)(∀ x52 . (x51 x52False)(x2 (x21 x52) (x1 x52)False)False)(∀ x52 x53 x54 . x2 x53 (x1 x54)x2 x52 (x1 x54)(x15 x54 x53 x53 = x53False)False)(∀ x52 . (x6 x52 x52 = x52False)False)(∀ x52 x53 . (x51 x53False)x51 (x6 x52 x53)False)(∀ x52 x53 . (x51 x53False)x51 (x6 x53 x52)False)(∀ x52 x53 . x51 (x5 x52 x53)False)(∀ x52 . x51 (x4 x52)False)(∀ x52 x53 x54 . x51 (x7 x54 x53 x52)False)((x51 x50False)False)(∀ x52 . x51 (x1 x52)False)(∀ x52 . (x2 (x46 x52) x52False)False)((x14 x22False)False)((x8 x45False)False)(∀ x52 . x8 x52x51 (x13 x52)False)(∀ x52 . x8 x52x51 (x9 x52)False)(∀ x52 . x14 x52(x8 x52False)False)(∀ x52 x53 x54 x55 . (x51 x55False)x2 x52 x55x2 x54 x55x2 x53 x55(x2 (x10 x55 x52 x54 x53) (x1 x55)False)False)(∀ x52 x53 x54 . (x51 x54False)x2 x52 x54x2 x53 x54(x2 (x49 x54 x52 x53) (x1 x54)False)False)(∀ x52 x53 . (x51 x53False)x2 x52 x53(x2 (x16 x53 x52) (x1 x53)False)False)(∀ x52 x53 x54 . x2 x53 (x1 x54)x2 x52 (x1 x54)(x2 (x15 x54 x53 x52) (x1 x54)False)False)(∀ x52 x53 x54 . x8 x54x2 x52 (x1 (x9 x54))x2 x53 (x13 x54)x11 x54 x52 x53(x44 x52 x54False)False)(∀ x52 x53 . x8 x53x2 x52 (x1 (x9 x53))x44 x52 x53(x11 x53 x52 (x23 x52 x53)False)False)(∀ x52 x53 . x8 x53x2 x52 (x1 (x9 x53))x44 x52 x53(x2 (x23 x52 x53) (x13 x53)False)False)(∀ x52 . x8 x52x25 x52 = x24 x52(x26 x52False)False)(∀ x52 . x8 x52x42 x52 = x43 x52(x26 x52False)False)(∀ x52 . x8 x52(x11 x52 (x49 (x9 x52) (x42 x52) (x43 x52)) (x24 x52)False)(x26 x52False)False)(∀ x52 . x8 x52(x11 x52 (x49 (x9 x52) (x42 x52) (x43 x52)) (x25 x52)False)(x26 x52False)False)(∀ x52 . x8 x52(x2 (x24 x52) (x13 x52)False)(x26 x52False)False)(∀ x52 . x8 x52(x2 (x25 x52) (x13 x52)False)(x26 x52False)False)(∀ x52 . x8 x52(x2 (x43 x52) (x9 x52)False)(x26 x52False)False)(∀ x52 . x8 x52(x2 (x42 x52) (x9 x52)False)(x26 x52False)False)(∀ x52 x53 x54 x55 x56 . x8 x56x26 x56x2 x55 (x9 x56)x2 x52 (x9 x56)x2 x54 (x13 x56)x2 x53 (x13 x56)x11 x56 (x49 (x9 x56) x55 x52) x54x11 x56 (x49 (x9 x56) x55 x52) x53(x55 = x52False)(x54 = x53False)False)(∀ x52 x53 x54 . (x51 x54False)x2 x52 x54x2 x53 x54(x49 x54 x52 x53 = x49 x54 x53 x52False)False)(∀ x52 x53 x54 . x2 x53 (x1 x54)x2 x52 (x1 x54)(x15 x54 x53 x52 = x15 x54 x52 x53False)False)(∀ x52 x53 . (x6 x53 x52 = x6 x52 x53False)False)(∀ x52 x53 . (x5 x53 x52 = x5 x52 x53False)False)(∀ x52 x53 . x51 x53x2 x52 (x1 x53)x18 x52 x53False)(∀ x52 x53 . (x51 x53False)x2 x52 (x1 x53)x51 x52(x18 x52 x53False)False)(∀ x52 x53 . (x51 x53False)x2 x52 (x1 x53)(x18 x52 x53False)x51 x52False)(∀ x52 x53 . x51 x53x2 x52 (x1 x53)(x51 x52False)False)(∀ x52 . x14 x52x41 x52(x40 x52False)False)(∀ x52 . x14 x52x41 x52(x27 x52False)False)(∀ x52 . x14 x52x41 x52(x39 x52False)False)(∀ x52 . x14 x52x41 x52(x28 x52False)False)(∀ x52 . x14 x52x41 x52(x38 x52False)False)(∀ x52 . x14 x52x41 x52(x29 x52False)False)(∀ x52 . x14 x52x41 x52(x37 x52False)False)(∀ x52 . x14 x52x41 x52(x26 x52False)False)(∀ x52 . x14 x52x41 x52(x36 x52False)False)(∀ x52 . x14 x52x41 x52(x30 x52False)False)(∀ x52 x53 . x0 x52 x53x0 x53 x52False)((x44 (x10 (x9 x31) x34 x33 x32) x31False)False)(x12 x31 x32 x35False)((x11 x31 (x49 (x9 x31) x34 x33) x35False)False)(x34 = x33False)((x2 x35 (x13 x31)False)False)((x2 x32 (x9 x31)False)False)((x2 x33 (x9 x31)False)False)((x2 x34 (x9 x31)False)False)((x14 x31False)False)((x41 x31False)False)False
type
prop
theory
HotG
name
-
proof
PUKpc..
Megalodon
-
proofgold address
TMGee..
creator
35121 PrPhD../af3a7..
owner
35124 PrPhD../8a4c4..
term root
44418..