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Proofgold Proof

pf
Claim L0: ...
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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 ιο be given.
Let x1 of type ιο be given.
Let x2 of type ιι be given.
Let x3 of type ιιιο be given.
Let x4 of type ιιο be given.
Let x5 of type ιιι be given.
Let x6 of type ιι be given.
Let x7 of type ιιιιι be given.
Let x8 of type ιιιιιο be given.
Let x9 of type ιιι be given.
Let x10 of type ιιι be given.
Let x11 of type ιιι be given.
Let x12 of type ιιι be given.
Let x13 of type ιιο be given.
Let x14 of type ιιιο be given.
Let x15 of type ιο be given.
Let x16 of type ιο be given.
Let x17 of type ιιο be given.
Let x18 of type ιιο be given.
Let x19 of type ι be given.
Let x20 of type ιιι be given.
Let x21 of type ιιο be given.
Let x22 of type ιο be given.
Let x23 of type ιο be given.
Let x24 of type ιι be given.
Let x25 of type ιο be given.
Let x26 of type ιιι be given.
Let x27 of type ι be given.
Let x28 of type ιο be given.
Let x29 of type ιι be given.
Let x30 of type ιι be given.
Let x31 of type ιιι be given.
Let x32 of type ιιι be given.
Let x33 of type ι be given.
Let x34 of type ιο be given.
Let x35 of type ιο be given.
Let x36 of type ι be given.
Let x37 of type ιιιιο be given.
Let x38 of type ιιο be given.
Let x39 of type ι be given.
Let x40 of type ι be given.
Let x41 of type ι be given.
Let x42 of type ι be given.
Let x43 of type ι be given.
Let x44 of type ιιο be given.
Let x45 of type ι be given.
Let x46 of type ιι be given.
Let x47 of type ιιι be given.
Let x48 of type ι be given.
Let x49 of type ι be given.
Let x50 of type ιο be given.
Let x51 of type ιιο be given.
Let x52 of type ιι be given.
Let x53 of type ι be given.
Let x54 of type ιο be given.
Let x55 of type ιιο be given.
Let x56 of type ιιι be given.
Let x57 of type ι 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 x62False)x16 x62x1 x62x15 x61x3 x61 (x2 x62) (x2 x62)x14 x61 (x2 x62) (x2 x62)x4 x61 (x6 (x5 (x2 x62) (x2 x62)))(x8 x62 (x7 (x2 x62) (x2 x62) x61 (x9 x61 x62)) (x7 (x2 x62) (x2 x62) x61 (x12 x61 x62)) (x7 (x2 x62) (x2 x62) x61 (x11 x61 x62)) (x7 (x2 x62) (x2 x62) x61 (x10 x61 x62))False)(x8 x62 (x9 x61 x62) (x12 x61 x62) (x11 x61 x62) (x10 x61 x62)False)(x13 x61 x62False)False.
Assume H7: ∀ x61 x62 . (x0 x62False)x16 x62x1 x62x15 x61x3 x61 (x2 x62) (x2 x62)x14 x61 (x2 x62) (x2 x62)x4 x61 (x6 (x5 (x2 x62) (x2 x62)))x8 x62 (x9 x61 x62) (x12 x61 x62) (x11 x61 x62) (x10 x61 x62)x8 x62 (x7 (x2 x62) (x2 x62) x61 (x9 x61 x62)) (x7 (x2 x62) (x2 x62) x61 (x12 x61 x62)) (x7 (x2 x62) (x2 x62) x61 (x11 x61 x62)) (x7 (x2 x62) (x2 x62) x61 (x10 x61 x62))(x13 x61 x62False)False.
Assume H8: ∀ x61 x62 . ............x3 x61 (x2 x62) (x2 x62)x14 x61 (x2 x62) (x2 x62)x4 x61 (x6 (x5 (x2 x62) (x2 x62)))(x4 (x10 x61 x62) (x2 x62)False)(x13 x61 x62False)False.
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