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Proofgold Proof

pf
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Claim L1: ...
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Claim L2: ...
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Claim L3: ...
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Claim L4: ...
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Let x0 of type ιιο be given.
Let x1 of type ιι be given.
Let x2 of type ιιο be given.
Let x3 of type ιιι be given.
Let x4 of type ιιο be given.
Let x5 of type ιιιο be given.
Let x6 of type ιιιο be given.
Let x7 of type ιιι be given.
Let x8 of type ιιιιι be given.
Let x9 of type ιο be given.
Let x10 of type ιι be given.
Let x11 of type ιι be given.
Let x12 of type ιι be given.
Let x13 of type ιο be given.
Let x14 of type ιι be given.
Let x15 of type ιι be given.
Let x16 of type ι be given.
Let x17 of type ιιο be given.
Let x18 of type ιο be given.
Let x19 of type ιο be given.
Let x20 of type ιι be given.
Let x21 of type ιιι be given.
Let x22 of type ιι be given.
Let x23 of type ι be given.
Let x24 of type ι be given.
Let x25 of type ι be given.
Let x26 of type ι be given.
Let x27 of type ι be given.
Let x28 of type ιιο be given.
Let x29 of type ι be given.
Let x30 of type ι be given.
Let x31 of type ιι be given.
Let x32 of type ιιι be given.
Let x33 of type ιο be given.
Let x34 of type ιιι be given.
Let x35 of type ιιο be given.
Let x36 of type ιι be given.
Let x37 of type ι be given.
Let x38 of type ι be given.
Let x39 of type ιι be given.
Let x40 of type ιο be given.
Let x41 of type ιι be given.
Let x42 of type ιιο be given.
Let x43 of type ιι be given.
Let x44 of type ιιι be given.
Let x45 of type ιι be given.
Let x46 of type ιι be given.
Let x47 of type ιο be given.
Let x48 of type ιι be given.
Let x49 of type ι be given.
Let x50 of type ιιι be given.
Let x51 of type ιο be given.
Let x52 of type ιιο be given.
Let x53 of type ιι be given.
Let x54 of type ιιιι be given.
Let x55 of type ιιι be given.
Let x56 of type ιιιι be given.
Let x57 of type ιο be given.
Let x58 of type ιο be given.
Let x59 of type ι be given.
Let x60 of type ιο be given.
Assume H5: ∀ x61 x62 . x60 x62(x62 = x61False)x60 x61False.
Assume H6: ∀ x61 x62 . x0 x61 x62x60 x62False.
Assume H7: ∀ x61 . x60 x61(x61 = x59False)False.
Assume H8: ∀ x61 x62 x63 . x0 x61 x62x2 x62 (x1 x63)x60 x63False.
Assume H9: ∀ x61 x62 x63 . (x58 x63False)x51 x63x57 x63x52 x61 x63x52 x62 x63(x55 x63 (x56 x63 x61 x62) = x54 (x53 x63) (x55 x63 x61) (x55 x63 x62)False)False.
Assume H10: ∀ x61 x62 x63 . (x58 x63False)x51 x63x57 x63x52 x61 x63x52 x62 x63(x3 x63 (x56 x63 x61 x62) = x54 (x53 x63) (x3 x63 x61) (x3 x63 x62)False)False.
Assume H11: ∀ x61 x62 x63 . x0 x62 x63x2 x63 (x1 x61)(x2 x62 x61False)False.
Assume H12: ∀ x61 x62 . x4 x62 x61(x2 x62 (x1 x61)False)False.
Assume H13: ∀ x61 x62 . x2 x62 (x1 x61)(x4 x62 x61False)False.
Assume H14: ∀ x61 x62 . x2 x61 x62(x60 x62False)(x0 x61 x62False)False.
Assume H15: ∀ x61 . (x50 x61 x59 = x59False)False.
Assume H16: ∀ x61 x62 . x0 x62 x61(x2 x62 x61False)False.
Assume H17: ∀ x61 x62 x63 . (x50 (x50 x63 x61) x62 = x50 x63 (x50 x61 x62)False)False.
Assume H18: ∀ x61 x62 x63 . (x58 x63False)x51 x63x57 x63x52 x61 x63x52 x62 x63x5 x63 x61 x62(x5 x63 x62 x61False)False.
Assume H19: x60 x49False.
Assume H20: ∀ x61 x62 x63 . .........x52 x61 ...x52 x62 x63(x5 x63 x61 x61False)False.
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