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Proofgold Proposition

∀ x0 : ι → ι → ο . ∀ x1 : ι → ι . ∀ x2 x3 : ι → ι → ο . ∀ x4 . ∀ x5 : ι → ι . ∀ x6 . ∀ x7 : ι → ο . ∀ x8 x9 x10 . ∀ x11 : ι → ο . ∀ x12 . ∀ x13 : ι → ο . ∀ x14 x15 x16 x17 . ∀ x18 : ι → ι → ι . ∀ x19 : ι → ι . ∀ x20 . ∀ x21 x22 : ι → ο . ∀ x23 x24 : ι → ι → ι → ι . ∀ x25 x26 : ι → ι → ι . ∀ x27 x28 x29 x30 . ∀ x31 : ι → ο . ∀ x32 x33 x34 x35 . ∀ x36 : ι → ο . ∀ x37 x38 . ∀ x39 : ι → ο . ∀ x40 x41 . ∀ x42 : ι → ο . ∀ x43 : ι → ι → ι → ο . ∀ x44 . ∀ x45 : ι → ι → ι . ∀ x46 : ι → ο . ∀ x47 . ∀ x48 : ι → ι . ∀ x49 . ∀ x50 : ι → ο . ∀ x51 . ∀ x52 : ι → ο . (∀ x53 x54 . x52 x54(x54 = x53False)x52 x53False)(∀ x53 x54 . x0 x53 x54x52 x54False)(∀ x53 . x52 x53(x53 = x51False)False)(∀ x53 x54 x55 . x0 x53 x54x2 x54 (x1 x55)x52 x55False)(∀ x53 x54 x55 . x0 x54 x55x2 x55 (x1 x53)(x2 x54 x53False)False)(∀ x53 x54 . x3 x54 x53(x2 x54 (x1 x53)False)False)(∀ x53 x54 . x2 x54 (x1 x53)(x3 x54 x53False)False)(∀ x53 x54 . x2 x53 x54(x52 x54False)(x0 x53 x54False)False)(∀ x53 . x50 x53x48 x53 = x49(x53 = x47False)False)(∀ x53 . x50 x53x53 = x47(x48 x53 = x49False)False)(∀ x53 . x50 x53x48 x53 = x47(x53 = x49False)False)(∀ x53 . x50 x53x53 = x49(x48 x53 = x47False)False)(∀ x53 x54 . x0 x54 x53(x2 x54 x53False)False)((x2 x51 x4False)False)(∀ x53 . x46 x53(x45 x53 x44 = x53False)False)(∀ x53 x54 . x46 x54x46 x53(x45 (x5 x54) (x5 x53) = x5 (x45 x54 x53)False)False)(∀ x53 x54 x55 . x46 x55x46 x53x46 x54(x45 (x45 x55 x53) x54 = x45 x55 (x45 x53 x54)False)False)(∀ x53 . (x3 x53 x53False)False)(∀ x53 x54 x55 . (x52 x55False)(x52 x53False)x2 x53 (x1 x55)x2 x54 x53(x43 x54 x55 x53False)False)(∀ x53 x54 x55 . (x52 x55False)(x52 x53False)x2 x53 (x1 x55)x43 x54 x55 x53(x2 x54 x53False)False)((x44 = x51False)False)((x6 = x4False)False)((x42 x41False)False)(x52 x41False)((x50 x40False)False)((x52 x40False)False)((x39 x38False)False)((x50 x38False)False)((x46 x38False)False)((x52 x38False)False)((x42 x37False)False)((x7 x8False)False)((x50 x8False)False)((x39 x9False)False)((x7 x9False)False)((x50 x9False)False)((x46 x9False)False)(x39 x10False)((x7 x10False)False)((x50 x10False)False)((x36 x35False)False)((x50 x35False)False)((x39 x34False)False)((x36 x34False)False)((x50 x34False)False)((x46 x34False)False)((x46 x33False)False)(x52 x33False)(x52 x32False)((x11 x12False)False)((x31 x12False)False)((x13 x12False)False)(x52 x12False)(x39 x14False)((x36 x14False)False)((x50 x14False)False)((x50 x30False)False)((x39 x15False)False)((x46 x29False)False)((x52 x16False)False)((x39 x28False)False)((x36 x28False)False)((x50 x28False)False)((x46 x28False)False)((x2 x28 x27False)False)((x11 x17False)False)(∀ x53 . x46 x53(x5 (x5 x53) = x53False)False)(∀ x53 . x50 x53(x48 (x48 x53) = x53False)False)(∀ x53 x54 . x39 x54x46 x53x54 = x53(x48 x54 = x5 x53False)False)(∀ x53 x54 x55 x56 . x39 x56x39 x53x46 x55x46 x54x56 = x55x53 = x54(x18 x56 x53 = x45 x55 x54False)False)(∀ x53 x54 . (x7 x54False)x39 x54(x7 x53False)x39 x53x7 (x45 x54 x53)False)(∀ x53 x54 . x50 x54x7 x54(x39 x54False)x50 x53x36 x53(x39 x53False)(x50 (x18 x54 x53)False)False)(∀ x53 x54 . x50 x54x7 x54(x39 x54False)x50 x53x36 x53(x39 x53False)(x52 (x18 x54 x53)False)False)(∀ x53 x54 . x50 x54x7 x54(x39 x54False)x50 x53x7 x53(x39 x53False)x39 (x18 x54 x53)False)(∀ x53 x54 . x50 x54x7 x54(x39 x54False)x50 x53x7 x53(x39 x53False)(x50 (x18 x54 x53)False)False)(∀ x53 . (x52 x53False)x46 x53(x46 (x5 x53)False)False)(∀ x53 . (x52 x53False)x46 x53x52 (x5 x53)False)((x11 x4False)False)(x52 x4False)(∀ x53 x54 . x50 x54x36 x54(x39 x54False)x50 x53x36 x53(x39 x53False)x39 (x18 x54 x53)False)(∀ x53 x54 . x50 x54x36 x54(x39 x54False)x50 x53x36 x53(x39 x53False)(x50 (x18 x54 x53)False)False)(∀ x53 x54 . x39 x54x39 x53(x39 (x45 x54 x53)False)False)(∀ x53 x54 . x39 x54x50 x53(x39 x53False)x39 (x18 x54 x53)False)((x7 x47False)False)((x36 x49False)False)(∀ x53 . x39 x53(x39 (x5 x53)False)False)(∀ x53 . x39 x53(x46 (x5 x53)False)False)(∀ x53 x54 . x39 x54x39 x53(x39 (x18 x54 x53)False)False)(∀ x53 x54 . x39 x54x39 x53(x50 (x18 x54 x53)False)False)((x50 x47False)False)(x39 x49False)(∀ x53 x54 . x46 x54x46 x53(x46 (x45 x54 x53)False)False)(∀ x53 . x39 x53(x39 (x48 x53)False)False)(∀ x53 . x39 x53(x50 (x48 x53)False)False)((x50 x49False)False)(x39 x47False)((x52 x51False)False)(∀ x53 . (x7 x53False)x39 x53x36 (x5 x53)False)(∀ x53 . (x7 x53False)x39 x53(x46 (x5 x53)False)False)(∀ x53 . (x36 x53False)x39 x53x7 (x5 x53)False)(∀ x53 . (x36 x53False)x39 x53(x46 (x5 x53)False)False)(∀ x53 x54 . x7 x54x39 x54(x36 x53False)x39 x53(x7 (x45 x53 x54)False)False)(∀ x53 x54 . x7 x54x39 x54(x36 x53False)x39 x53(x7 (x45 x54 x53)False)False)(∀ x53 x54 . x36 x54x39 x54(x7 x53False)x39 x53(x36 (x45 x53 x54)False)False)(∀ x53 x54 . x36 x54x39 x54(x7 x53False)x39 x53(x36 (x45 x54 x53)False)False)(∀ x53 x54 . (x36 x54False)x39 x54(x36 x53False)x39 x53x36 (x45 x54 x53)False)(∀ x53 x54 . (x52 x54False)(x52 x53False)x2 x53 (x1 x54)(x43 (x26 x53 x54) x54 x53False)False)(∀ x53 . (x2 (x19 x53) x53False)False)(∀ x53 x54 x55 . (x52 x55False)(x52 x53False)x2 x53 (x1 x55)x43 x54 x55 x53(x2 x54 x55False)False)((x43 x44 x27 x6False)False)((x2 x6 (x1 x27)False)False)(∀ x53 . x46 x53(x46 (x5 x53)False)False)(∀ x53 . x50 x53(x50 (x48 x53)False)False)(∀ x53 x54 . x50 x54x50 x53(x50 (x18 x54 x53)False)False)((x47 = x25 x44 x27False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x53False)x53 = x47x55 = x47x53 = x49x55 = x49x54 = x44(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x53False)x53 = x47x55 = x47x53 = x49x55 = x49x54 = x18 x55 x53(x54 = x44False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x53False)x53 = x47x55 = x47x53 = x49(x53 = x47False)x54 = x44(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x53False)x53 = x47x55 = x47x53 = x49(x53 = x47False)x54 = x18 x55 x53(x54 = x44False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x53False)x53 = x47x55 = x47(x55 = x47False)x55 = x49x54 = x44(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x53False)x53 = x47x55 = x47(x55 = x47False)x55 = x49x54 = x18 x55 x53(x54 = x44False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x53False)x53 = x47x55 = x47(x55 = x47False)(x53 = x47False)x54 = x44(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x53False)x53 = x47x55 = x47(x55 = x47False)(x53 = x47False)x54 = x18 x55 x53(x54 = x44False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x53False)x53 = x47(x53 = x49False)x53 = x49x55 = x49x54 = x44(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x53False)x53 = x47(x53 = x49False)x53 = x49x55 = x49x54 = x18 x55 x53(x54 = x44False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x53False)x53 = x47(x53 = x49False)x53 = x49(x53 = x47False)x54 = x44(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x53False)x53 = x47(x53 = x49False)x53 = x49(x53 = x47False)x54 = x18 x55 x53(x54 = x44False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x53False)x53 = x47(x53 = x49False)(x55 = x47False)x55 = x49x54 = x44(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x53False)x53 = x47(x53 = x49False)(x55 = x47False)x55 = x49x54 = x18 x55 x53(x54 = x44False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x53False)x53 = x47(x53 = x49False)(x55 = x47False)(x53 = x47False)x54 = x44(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x53False)x53 = x47(x53 = x49False)(x55 = x47False)(x53 = x47False)x54 = x18 x55 x53(x54 = x44False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x53False)(x55 = x49False)x55 = x47x53 = x49x55 = x49x54 = x44(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x53False)(x55 = x49False)x55 = x47x53 = x49x55 = x49x54 = x18 x55 x53(x54 = x44False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x53False)(x55 = x49False)x55 = x47x53 = x49(x53 = x47False)x54 = x44(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x53False)(x55 = x49False)x55 = x47x53 = x49(x53 = x47False)x54 = x18 x55 x53(x54 = x44False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x53False)(x55 = x49False)x55 = x47(x55 = x47False)x55 = x49x54 = x44(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x53False)(x55 = x49False)x55 = x47(x55 = x47False)x55 = x49x54 = x18 x55 x53(x54 = x44False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x53False)(x55 = x49False)x55 = x47(x55 = x47False)(x53 = x47False)x54 = x44(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x53False)(x55 = x49False)x55 = x47(x55 = x47False)(x53 = x47False)x54 = x18 x55 x53(x54 = x44False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x53False)(x55 = x49False)(x53 = x49False)x53 = x49x55 = x49x54 = x44(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x53False)(x55 = x49False)(x53 = x49False)x53 = x49x55 = x49x54 = x18 x55 x53(x54 = x44False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x53False)(x55 = x49False)(x53 = x49False)x53 = x49(x53 = x47False)x54 = x44(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x53False)(x55 = x49False)(x53 = x49False)x53 = x49(x53 = x47False)x54 = x18 x55 x53(x54 = x44False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x53False)(x55 = x49False)(x53 = x49False)(x55 = x47False)x55 = x49x54 = x44(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x53False)(x55 = x49False)(x53 = x49False)(x55 = x47False)x55 = x49x54 = x18 x55 x53(x54 = x44False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x53False)(x55 = x49False)(x53 = x49False)(x55 = x47False)(x53 = x47False)x54 = x44(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x53False)(x55 = x49False)(x53 = x49False)(x55 = x47False)(x53 = x47False)x54 = x18 x55 x53(x54 = x44False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x55False)x53 = x47x55 = x47x53 = x49x55 = x49x54 = x44(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x55False)x53 = x47x55 = x47x53 = x49x55 = x49x54 = x18 x55 x53(x54 = x44False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x55False)x53 = x47x55 = x47x53 = x49(x53 = x47False)x54 = x44(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x55False)x53 = x47x55 = x47x53 = x49(x53 = x47False)x54 = x18 x55 x53(x54 = x44False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x55False)x53 = x47x55 = x47(x55 = x47False)x55 = x49x54 = x44(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x55False)x53 = x47x55 = x47(x55 = x47False)x55 = x49x54 = x18 x55 x53(x54 = x44False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x55False)x53 = x47x55 = x47(x55 = x47False)(x53 = x47False)x54 = x44(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x55False)x53 = x47x55 = x47(x55 = x47False)(x53 = x47False)x54 = x18 x55 x53(x54 = x44False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x55False)x53 = x47(x53 = x49False)x53 = x49x55 = x49x54 = x44(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x55False)x53 = x47(x53 = x49False)x53 = x49x55 = x49x54 = x18 x55 x53(x54 = x44False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x55False)x53 = x47(x53 = x49False)x53 = x49(x53 = x47False)x54 = x44(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x55False)x53 = x47(x53 = x49False)x53 = x49(x53 = x47False)x54 = x18 x55 x53(x54 = x44False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x55False)x53 = x47(x53 = x49False)(x55 = x47False)x55 = x49x54 = x44(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x55False)x53 = x47(x53 = x49False)(x55 = x47False)x55 = x49x54 = x18 x55 x53(x54 = x44False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x55False)x53 = x47(x53 = x49False)(x55 = x47False)(x53 = x47False)x54 = x44(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x55False)x53 = x47(x53 = x49False)(x55 = x47False)(x53 = x47False)x54 = x18 x55 x53(x54 = x44False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x55False)(x55 = x49False)x55 = x47x53 = x49x55 = x49x54 = x44(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x55False)(x55 = x49False)x55 = x47x53 = x49x55 = x49x54 = x18 x55 x53(x54 = x44False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x55False)(x55 = x49False)x55 = x47x53 = x49(x53 = x47False)x54 = x44(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x55False)(x55 = x49False)x55 = x47x53 = x49(x53 = x47False)x54 = x18 x55 x53(x54 = x44False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x55False)(x55 = x49False)x55 = x47(x55 = x47False)x55 = x49x54 = x44(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x55False)(x55 = x49False)x55 = x47(x55 = x47False)x55 = x49x54 = x18 x55 x53(x54 = x44False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x55False)(x55 = x49False)x55 = x47(x55 = x47False)(x53 = x47False)x54 = x44(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x55False)(x55 = x49False)x55 = x47(x55 = x47False)(x53 = x47False)x54 = x18 x55 x53(x54 = x44False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x55False)(x55 = x49False)(x53 = x49False)x53 = x49x55 = x49x54 = x44(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x55False)(x55 = x49False)(x53 = x49False)x53 = x49x55 = x49x54 = x18 x55 x53(x54 = x44False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x55False)(x55 = x49False)(x53 = x49False)x53 = x49(x53 = x47False)x54 = x44(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x55False)(x55 = x49False)(x53 = x49False)x53 = x49(x53 = x47False)x54 = x18 x55 x53(x54 = x44False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x55False)(x55 = x49False)(x53 = x49False)(x55 = x47False)x55 = x49x54 = x44(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x55False)(x55 = x49False)(x53 = x49False)(x55 = x47False)x55 = x49x54 = x18 x55 x53(x54 = x44False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x55False)(x55 = x49False)(x53 = x49False)(x55 = x47False)(x53 = x47False)x54 = x44(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54(x39 x55False)(x55 = x49False)(x53 = x49False)(x55 = x47False)(x53 = x47False)x54 = x18 x55 x53(x54 = x44False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54x53 = x47(x55 = x49False)x54 = x47(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54x53 = x47(x55 = x49False)x54 = x18 x55 x53(x54 = x47False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54x55 = x47(x53 = x49False)x54 = x47(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54x55 = x47(x53 = x49False)x54 = x18 x55 x53(x54 = x47False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54x53 = x49(x55 = x47False)x54 = x49(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54x53 = x49(x55 = x47False)x54 = x18 x55 x53(x54 = x49False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54x55 = x49(x53 = x47False)x54 = x49(x54 = x18 x55 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54x55 = x49(x53 = x47False)x54 = x18 x55 x53(x54 = x49False)False)(∀ x53 x54 x55 x56 x57 . x50 x57x50 x53x50 x56x39 x57x39 x53x46 x54x46 x55x57 = x54x53 = x55x56 = x45 x54 x55(x56 = x18 x57 x53False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54x39 x55x39 x53x54 = x18 x55 x53(x54 = x45 (x23 x54 x53 x55) (x24 x54 x53 x55)False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54x39 x55x39 x53x54 = x18 x55 x53(x53 = x24 x54 x53 x55False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54x39 x55x39 x53x54 = x18 x55 x53(x55 = x23 x54 x53 x55False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54x39 x55x39 x53x54 = x18 x55 x53(x46 (x24 x54 x53 x55)False)False)(∀ x53 x54 x55 . x50 x55x50 x53x50 x54x39 x55x39 x53x54 = x18 x55 x53(x46 (x23 x54 x53 x55)False)False)((x49 = x27False)False)(∀ x53 x54 . x46 x54x46 x53(x45 x54 x53 = x45 x53 x54False)False)(∀ x53 x54 . x50 x54x50 x53(x18 x54 x53 = x18 x53 x54False)False)(∀ x53 . x52 x53(x22 x53False)False)(∀ x53 . x50 x53(x36 x53False)(x7 x53False)(x50 x53False)False)(∀ x53 . x50 x53(x36 x53False)(x7 x53False)(x52 x53False)False)(∀ x53 . x2 x53 x4(x42 x53False)False)(∀ x53 . x52 x53x50 x53x7 x53False)(∀ x53 . x52 x53x50 x53x36 x53False)(∀ x53 . x52 x53x50 x53(x50 x53False)False)(∀ x53 . x52 x53(x42 x53False)False)(∀ x53 . (x52 x53False)x50 x53(x36 x53False)(x7 x53False)False)(∀ x53 . (x52 x53False)x50 x53(x36 x53False)(x50 x53False)False)(∀ x53 . x42 x53(x11 x53False)False)(∀ x53 . x50 x53x7 x53x36 x53False)(∀ x53 . x50 x53x7 x53(x50 x53False)False)(∀ x53 . x50 x53x7 x53x52 x53False)(∀ x53 x54 . x11 x54x2 x53 x54(x11 x53False)False)(∀ x53 . (x52 x53False)x50 x53(x7 x53False)(x36 x53False)False)(∀ x53 . (x52 x53False)x50 x53(x7 x53False)(x50 x53False)False)(∀ x53 . x39 x53(x50 x53False)False)(∀ x53 . x52 x53(x21 x53False)False)(∀ x53 . x50 x53x36 x53x7 x53False)(∀ x53 . x50 x53x36 x53(x50 x53False)False)(∀ x53 . x50 x53x36 x53x52 x53False)(∀ x53 . x39 x53(x46 x53False)False)(∀ x53 . x52 x53(x11 x53False)False)(∀ x53 . x50 x53(x36 x53False)(x39 x53False)(x7 x53False)False)(∀ x53 . x50 x53(x36 x53False)(x39 x53False)(x50 x53False)False)(∀ x53 . x42 x53(x50 x53False)False)(∀ x53 . x42 x53(x39 x53False)False)(∀ x53 . x42 x53(x46 x53False)False)(∀ x53 . x13 x53x31 x53(x11 x53False)False)(∀ x53 . x50 x53(x7 x53False)(x39 x53False)(x36 x53False)False)(∀ x53 . x50 x53(x7 x53False)(x39 x53False)(x50 x53False)False)(∀ x53 . x2 x53 x27(x39 x53False)False)(∀ x53 . x2 x53 x27(x46 x53False)False)(∀ x53 . x2 x53 x27(x39 x53False)False)(∀ x53 . x11 x53(x31 x53False)False)(∀ x53 . x11 x53(x13 x53False)False)(∀ x53 x54 . x22 x54x2 x53 (x1 x54)(x22 x53False)False)(∀ x53 x54 . x0 x53 x54x0 x54 x53False)(x48 (x18 x20 x47) = x18 (x48 x47) (x48 x20)False)((x0 x20 x27False)False)((x50 x20False)False)False
type
prop
theory
HotG
name
-
proof
PUVd6..
Megalodon
-
proofgold address
TMQnk..
creator
35120 PrPhD../2192f..
owner
35122 PrPhD../0d0e9..
term root
21df9..