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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 ιιο be given.
Let x1 of type ιι be given.
Let x2 of type ιιο be given.
Let x3 of type ιο be given.
Let x4 of type ιο be given.
Let x5 of type ιο be given.
Let x6 of type ιι be given.
Let x7 of type ιιιιιο be given.
Let x8 of type ιιιιιιι be given.
Let x9 of type ιι be given.
Let x10 of type ιο be given.
Let x11 of type ιο be given.
Let x12 of type ιο be given.
Let x13 of type ιιο be given.
Let x14 of type ι be given.
Let x15 of type ιο be given.
Let x16 of type ιι be given.
Let x17 of type ιι be given.
Let x18 of type ι be given.
Let x19 of type ιι be given.
Let x20 of type ιι be given.
Let x21 of type ιι be given.
Let x22 of type ιιο be given.
Let x23 of type ιιι be given.
Let x24 of type ιο be given.
Let x25 of type ιιι be given.
Let x26 of type ι be given.
Let x27 of type ιιι be given.
Let x28 of type ιο be given.
Let x29 of type ιο 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 ι be given.
Let x34 of type ιιο be given.
Let x35 of type ιιιιιι be given.
Let x36 of type ιι be given.
Let x37 of type ιι be given.
Let x38 of type ιι be given.
Let x39 of type ιι be given.
Let x40 of type ι be given.
Let x41 of type ιι be given.
Let x42 of type ι be given.
Let x43 of type ιιο be given.
Let x44 of type ι be given.
Let x45 of type ι be given.
Let x46 of type ι 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 ιι be given.
Let x51 of type ιο be given.
Let x52 of type ι be given.
Let x53 of type ιο be given.
Let x54 of type ιι be given.
Let x55 of type ιιο be given.
Let x56 of type ιι be given.
Let x57 of type ι be given.
Let x58 of type ιο be given.
Assume H5: ∀ x59 x60 . x58 x60(x60 = x59False)x58 x59False.
Assume H6: ∀ x59 x60 . x0 x59 x60x58 x60False.
Assume H7: ∀ x59 . x58 x59(x59 = x57False)False.
Assume H8: ∀ x59 x60 x61 . x0 x59 x60x2 x60 (x1 x61)x58 x61False.
Assume H9: ∀ x59 x60 x61 . x0 x60 x61x2 x61 (x1 x59)(x2 x60 x59False)False.
Assume H10: ∀ x59 x60 x61 x62 x63 x64 . (x3 x64False)x11 x64(x4 x63False)x10 x63x5 x63x11 x63x64 = x6 x63x2 x59 (x9 x64)x2 x62 (x9 x64)x2 x60 (x9 x64)x2 x61 (x9 x64)(x7 x64 x59 x62 x60 x61False)(x7 x64 x60 x61 x60 (x8 x61 x60 x62 x59 x63 x64)False)False.
Assume H11: ∀ x59 x60 x61 x62 x63 x64 . (x3 x64False)x11 x64(x4 x63False)x10 x63x5 x63x11 x63x64 = x6 x63x2 x59 (x9 x64)x2 x62 (x9 x64)x2 x60 (x9 x64)x2 x61 (x9 x64)(x7 x64 x59 x62 x60 x61False)(x7 x64 x59 x62 x59 (x8 x61 x60 x62 x59 x63 x64)False)False.
Assume H12: ∀ x59 x60 x61 x62 x63 x64 . (x3 x64False)x11 x64(x4 x63False)x10 x63x5 x63x11 x63x64 = x6 x63x2 x59 (x9 x64)x2 x62 (x9 x64)x2 x60 (x9 x64)x2 x61 (x9 x64)(x7 x64 x59 x62 x60 x61False)(x2 (x8 x61 x60 x62 x59 x63 x64) (x9 x64)False)False.
Assume H13: ∀ x59 . .........(x11 ...False)False.
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