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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 ιιο be given.
Let x4 of type ιιι be given.
Let x5 of type ιιι be given.
Let x6 of type ιο be given.
Let x7 of type ι be given.
Let x8 of type ιο be given.
Let x9 of type ιιο be given.
Let x10 of type ιι be given.
Let x11 of type ιιο be given.
Let x12 of type ιι be given.
Let x13 of type ιι be given.
Let x14 of type ιιο be given.
Let x15 of type ιο be given.
Let x16 of type ι be given.
Let x17 of type ιο be given.
Let x18 of type ιι be given.
Let x19 of type ιιο be given.
Let x20 of type ιι be given.
Let x21 of type ιο be given.
Let x22 of type ι be given.
Let x23 of type ιι be given.
Let x24 of type ιο be given.
Let x25 of type ι be given.
Let x26 of type ιο be given.
Let x27 of type ιο 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 ιο be given.
Let x32 of type ιο be given.
Let x33 of type ιο be given.
Let x34 of type ι be given.
Let x35 of type ι be given.
Let x36 of type ιο be given.
Let x37 of type ιο be given.
Let x38 of type ιο be given.
Let x39 of type ι be given.
Let x40 of type ιι be given.
Let x41 of type ιο be given.
Let x42 of type ιο be given.
Let x43 of type ιι be given.
Let x44 of type ι be given.
Let x45 of type ι be given.
Let x46 of type ιι be given.
Let x47 of type ιι be given.
Let x48 of type ι be given.
Let x49 of type ι be given.
Let x50 of type ι be given.
Let x51 of type ιο be given.
Let x52 of type ιι be given.
Let x53 of type ιιο be given.
Let x54 of type ι be given.
Let x55 of type ιο be given.
Let x56 of type ιο be given.
Let x57 of type ιι be given.
Let x58 of type ιιιι be given.
Let x59 of type ιιι be given.
Let x60 of type ιο be given.
Let x61 of type ι be given.
Let x62 of type ιο be given.
Assume H5: ∀ x63 x64 . x62 x64(x64 = x63False)x62 x63False.
Assume H6: ∀ x63 x64 . x0 x63 x64x62 x64False.
Assume H7: ∀ x63 . x62 x63(x63 = x61False)False.
Assume H8: ∀ x63 x64 x65 . x0 x63 x64x2 x64 (x1 x65)x62 x65False.
Assume H9: ∀ x63 x64 x65 . x0 x64 x65x2 x65 (x1 x63)(x2 x64 x63False)False.
Assume H10: ∀ x63 x64 . x3 x64 x63(x2 x64 (x1 x63)False)False.
Assume H11: ∀ x63 x64 . x2 x64 (x1 x63)(x3 x64 x63False)False.
Assume H12: ∀ x63 x64 . x2 x63 x64(x62 x64False)(x0 x63 x64False)False.
Assume H13: ∀ x63 x64 x65 . x60 x65x2 x63 (x1 (x57 x65))x2 x64 (x1 (x57 x65))(x3 (x58 (x57 x65) (x59 x65 x63) (x59 x65 x64)) (x59 x65 (x58 (x57 x65) x63 x64))False)False.
Assume H14: ∀ x63 x64 x65 . x3 x64 x65x3 x65 x63(x3 x64 x63False)False.
Assume H15: ∀ x63 x64 . x0 x64 x63(x2 x64 x63False)False.
Assume H16: ∀ x63 . (x4 x63 x61 = x63False)False.
Assume H17: ∀ x63 x64 x65 . x60 x65x2 x63 (x1 (x57 x65))x2 x64 (x1 (x57 x65))x3 x63 x64(x3 (x59 x65 x63) (x59 x65 x64)False)False.
Assume H18: ∀ x63 x64 x65 . x60 x65x2 x63 (x1 (x57 x65))x2 x64 (x1 (x57 x65))x3 x63 x64(x3 (x5 x65 x63) (x5 x65 x64)False)False.
Assume H19: ∀ x63 x64 . x60 x64x2 x63 (x1 (x57 x64))(x3 x63 (x5 x64 x63)False)False.
Assume H20: ∀ x63 x64 x65 x66 . ......(x3 (x4 x65 ...) ...False)False.
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