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Proofgold Proposition

∀ x0 x1 : ι → ι → ο . ∀ x2 : ι → ο . ∀ x3 : ι → ι → ι . ∀ x4 : ι → ι . ∀ x5 : ι → ι → ο . ∀ x6 : ι → ι → ι . ∀ x7 : ι → ο . ∀ x8 x9 . ∀ x10 : ι → ι . ∀ x11 . ∀ x12 : ι → ι → ι → ι . ∀ x13 x14 x15 x16 : ι → ι → ι . ∀ x17 : ι → ο . ∀ x18 . ∀ x19 : ι → ι → ι → ι . ∀ x20 x21 : ι → ι → ι . ∀ x22 : ι → ι . ∀ x23 : ι → ι → ι . ∀ x24 x25 . ∀ x26 : ι → ι → ο . ∀ x27 x28 : ι → ι . ∀ x29 : ι → ι → ι . ∀ x30 . ∀ x31 : ι → ο . (∀ x32 x33 . x31 x33(x33 = x32False)x31 x32False)(∀ x32 x33 . x0 x32 x33x31 x33False)(∀ x32 . x31 x32(x32 = x30False)False)(∀ x32 x33 . x1 x32 x33(x31 x33False)(x0 x32 x33False)False)(∀ x32 . (x29 x32 x30 = x30False)False)(∀ x32 x33 x34 . x2 x34x0 (x3 x32 x33) (x4 x34)(x32 = x33False)False)(∀ x32 x33 x34 . x2 x34x0 (x3 x32 x33) (x4 x34)(x0 x32 (x28 (x4 x34))False)False)(∀ x32 x33 . x0 x33 x32(x1 x33 x32False)False)(∀ x32 . (x28 (x27 x32) = x32False)False)(∀ x32 x33 . (x5 (x6 x32 x33) x32False)False)(∀ x32 x33 . (x26 (x6 x33 x32) x32False)False)(∀ x32 x33 . (x2 (x6 x32 x33)False)False)(x31 x25False)((x7 x8False)False)((x2 x8False)False)((x31 x9False)False)((x2 x24False)False)(x31 x24False)(∀ x32 . (x29 x32 x32 = x32False)False)(∀ x32 . (x31 x32False)x2 x32x31 (x28 x32)False)(∀ x32 x33 x34 x35 . (x2 (x23 (x3 x33 x32) (x3 x35 x34))False)False)(∀ x32 x33 . (x2 (x10 (x3 x33 x32))False)False)(∀ x32 x33 . x31 (x23 x32 x33)False)(∀ x32 . x31 (x10 x32)False)(∀ x32 . (x5 (x27 x32) x32False)False)(∀ x32 . (x26 (x27 x32) x32False)False)(∀ x32 . (x2 (x27 x32)False)False)((x31 x30False)False)(∀ x32 x33 . x2 x33(x2 (x29 x33 x32)False)False)(∀ x32 . x31 x32(x31 (x28 x32)False)False)(∀ x32 . (x1 (x22 x32) x32False)False)((x31 x11False)False)(∀ x32 . (x2 (x27 x32)False)False)(∀ x32 . x2 x32(x2 (x4 x32)False)False)(∀ x32 x33 . (x3 x33 x32 = x23 (x23 x33 x32) (x10 x33)False)False)(∀ x32 x33 x34 . (x0 (x12 x32 x33 x34) x33False)(x0 (x12 x32 x33 x34) x32False)(x32 = x29 x34 x33False)False)(∀ x32 x33 x34 . (x0 (x12 x32 x33 x34) x34False)(x0 (x12 x32 x33 x34) x32False)(x32 = x29 x34 x33False)False)(∀ x32 x33 x34 . x0 (x12 x32 x33 x34) x32x0 (x12 x32 x33 x34) x34x0 (x12 x32 x33 x34) x33(x32 = x29 x34 x33False)False)(∀ x32 x33 x34 x35 . x35 = x29 x33 x34x0 x32 x33x0 x32 x34(x0 x32 x35False)False)(∀ x32 x33 x34 x35 . x33 = x29 x32 x34x0 x35 x33(x0 x35 x34False)False)(∀ x32 x33 x34 x35 . x33 = x29 x34 x32x0 x35 x33(x0 x35 x34False)False)((x30 = x11False)False)(∀ x32 x33 . x2 x33x2 x32(x0 (x3 (x20 x32 x33) (x21 x32 x33)) x32False)(x0 (x3 (x20 x32 x33) (x21 x32 x33)) x33False)(x33 = x32False)False)(∀ x32 x33 . x2 x33x2 x32x0 (x3 (x20 x32 x33) (x21 x32 x33)) x33x0 (x3 (x20 x32 x33) (x21 x32 x33)) x32(x33 = x32False)False)(∀ x32 x33 x34 x35 . x2 x35x2 x32x35 = x32x0 (x3 x34 x33) x32(x0 (x3 x34 x33) x35False)False)(∀ x32 x33 x34 x35 . x2 x35x2 x32x35 = x32x0 (x3 x34 x33) x35(x0 (x3 x34 x33) x32False)False)(∀ x32 . x2 x32(x4 x32 = x29 x32 (x27 (x28 x32))False)False)(∀ x32 x33 . (x0 (x3 (x13 x33 x32) (x14 x33 x32)) x32False)(x0 (x13 x33 x32) x33False)(x33 = x28 x32False)False)(∀ x32 x33 x34 . x0 (x13 x34 x33) x34x0 (x3 (x13 x34 x33) x32) x33(x34 = x28 x33False)False)(∀ x32 x33 x34 x35 . x34 = x28 x35x0 (x3 x32 x33) x35(x0 x32 x34False)False)(∀ x32 x33 x34 . x33 = x28 x34x0 x32 x33(x0 (x3 x32 (x19 x32 x33 x34)) x34False)False)(∀ x32 x33 . x2 x33(x15 x33 x32 = x16 x33 x32False)(x0 (x3 (x15 x33 x32) (x16 x33 x32)) x33False)(x33 = x27 x32False)False)(∀ x32 x33 . x2 x33(x0 (x15 x33 x32) x32False)(x0 (x3 (x15 x33 x32) (x16 x33 x32)) x33False)(x33 = x27 x32False)False)(∀ x32 x33 . x2 x33x0 (x3 (x15 x33 x32) (x16 x33 x32)) x33x0 (x15 x33 x32) x32x15 x33 x32 = x16 x33 x32(x33 = x27 x32False)False)(∀ x32 x33 x34 x35 . x2 x35x35 = x27 x32x0 x34 x32x34 = x33(x0 (x3 x34 x33) x35False)False)(∀ x32 x33 x34 x35 . x2 x35x35 = x27 x32x0 (x3 x34 x33) x35(x34 = x33False)False)(∀ x32 x33 x34 x35 . x2 x35x35 = x27 x32x0 (x3 x34 x33) x35(x0 x34 x32False)False)(∀ x32 x33 . (x29 x33 x32 = x29 x32 x33False)False)(∀ x32 x33 . (x23 x33 x32 = x23 x32 x33False)False)(∀ x32 x33 . x31 x33x2 x32x5 x32 x33(x5 x32 x33False)False)(∀ x32 x33 . x31 x33x2 x32x5 x32 x33(x2 x32False)False)(∀ x32 x33 . x31 x33x2 x32x5 x32 x33(x31 x32False)False)(∀ x32 x33 . x31 x33x2 x32x26 x32 x33(x26 x32 x33False)False)(∀ x32 x33 . x31 x33x2 x32x26 x32 x33(x2 x32False)False)(∀ x32 x33 . x31 x33x2 x32x26 x32 x33(x31 x32False)False)(∀ x32 . x31 x32x2 x32(x7 x32False)False)(∀ x32 . x31 x32x2 x32(x2 x32False)False)(∀ x32 . x31 x32x2 x32(x17 x32False)False)(∀ x32 . x31 x32x2 x32(x2 x32False)False)(∀ x32 . x31 x32(x2 x32False)False)(∀ x32 x33 . x0 x32 x33x0 x33 x32False)(x4 x18 = x27 (x28 (x4 x18))False)((x2 x18False)False)False
type
prop
theory
HotG
name
-
proof
PUZTN..
Megalodon
-
proofgold address
TMUzq..
creator
35141 PrPhD../0de70..
owner
35142 PrPhD../9e2e0..
term root
fb2a2..