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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 ι be given.
Let x5 of type ιιι be given.
Let x6 of type ι be given.
Let x7 of type ι be given.
Let x8 of type ιιιο be given.
Let x9 of type ιιι be given.
Let x10 of type ιο 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 ι be given.
Let x15 of type ι be given.
Let x16 of type ιο be given.
Let x17 of type ι be given.
Let x18 of type ι be given.
Let x19 of type ιο be given.
Let x20 of type ι be given.
Let x21 of type ι be given.
Let x22 of type ι be given.
Let x23 of type ι be given.
Let x24 of type ι be given.
Let x25 of type ιιι be given.
Let x26 of type ιιι be given.
Let x27 of type ιο be given.
Let x28 of type ιι be given.
Let x29 of type ιιιι be given.
Let x30 of type ιιιι be given.
Let x31 of type ιιιι be given.
Let x32 of type ιιιι be given.
Let x33 of type ιο be given.
Let x34 of type ιο be given.
Let x35 of type ιο be given.
Let x36 of type ιο be given.
Let x37 of type ι be given.
Let x38 of type ι be given.
Let x39 of type ι be given.
Let x40 of type ιο be given.
Let x41 of type ιο be given.
Let x42 of type ιιι be given.
Let x43 of type ιο be given.
Let x44 of type ι be given.
Let x45 of type ιο be given.
Let x46 of type ι be given.
Let x47 of type ι 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 ι be given.
Let x52 of type ιο be given.
Let x53 of type ιι be given.
Let x54 of type ιι be given.
Let x55 of type ι be given.
Let x56 of type ι be given.
Let x57 of type ιο be given.
Let x58 of type ι be given.
Let x59 of type ιιι be given.
Let x60 of type ιι be given.
Let x61 of type ιο be given.
Let x62 of type ι be given.
Let x63 of type ιο be given.
Assume H5: ∀ x64 x65 . x63 x65(x65 = x64False)x63 x64False.
Assume H6: ∀ x64 x65 . x0 x64 x65x63 x65False.
Assume H7: ∀ x64 . x63 x64(x64 = x62False)False.
Assume H8: ∀ x64 x65 x66 . x0 x64 x65x2 x65 (x1 x66)x63 x66False.
Assume H9: ∀ x64 x65 x66 . x0 x65 x66x2 x66 (x1 x64)(x2 x65 x64False)False.
Assume H10: ∀ x64 x65 . x3 x65 x64(x2 x65 (x1 x64)False)False.
Assume H11: ∀ x64 x65 . x2 x65 (x1 x64)(x3 x65 x64False)False.
Assume H12: ∀ x64 x65 . x2 x64 x65(x63 x65False)(x0 x64 x65False)False.
Assume H13: ∀ x64 x65 . x0 x65 x64(x2 x65 x64False)False.
Assume H14: (x2 x62 x4False)False.
Assume H15: ∀ x64 x65 . x61 x65x61 x64(x59 (x60 x65) (x60 x64) = x59 x64 x65False)False.
Assume H16: ∀ x64 x65 . x61 x65x61 x64(x5 (x60 x65) (x60 x64) = x60 (x5 x65 x64)False)False.
Assume H17: ∀ x64 x65 x66 . x61 x66x61 x64x61 x65(x5 (x5 x66 x64) x65 = x5 x66 (x5 x64 x65)False)False.
Assume H18: (x2 x7 x6False)False.
Assume H19: (x2 x7 x58False)False.
Assume H20: (x8 x7 x6 x58False)False.
Assume H21: (x57 x7False)False.
Assume H22: x63 x7False.
Assume H23: (x2 x56 x6False)False.
Assume H24: (x2 x56 x58False)False.
Assume H25: (x8 x56 x6 x58False)False.
Assume H26: (x57 x56False)False.
Assume H27: x63 x56False.
Assume H28: ∀ x64 x65 . x61 x65x61 x64(x5 x65 (x60 x64) = x59 x65 x64False)False.
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