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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 ιο be given.
Let x7 of type ιι be given.
Let x8 of type ιιιι be given.
Let x9 of type ιιι be given.
Let x10 of type ιι be given.
Let x11 of type ιιι be given.
Let x12 of type ιο be given.
Let x13 of type ιο be given.
Let x14 of type ιιι be given.
Let x15 of type ι be given.
Let x16 of type ι be given.
Let x17 of type ιιιο be given.
Let x18 of type ιο be given.
Let x19 of type ι be given.
Let x20 of type ιο 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 ιο 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 ιιι be given.
Let x29 of type ιιι be given.
Let x30 of type ιιο be given.
Let x31 of type ιο be given.
Let x32 of type ιι be given.
Let x33 of type ι 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 ι be given.
Let x38 of type ιιι be given.
Let x39 of type ιο 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 ιο 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 ιι be given.
Let x50 of type ιο be given.
Let x51 of type ιι be given.
Let x52 of type ιι 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 ι 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 ι be given.
Let x61 of type ιιο 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 x66 . x3 x66x3 x64x4 x66(x66 = x62False)x5 x65x13 x65x6 x65x12 x65x7 x65 = x66x9 x65 (x8 x65 x64 x66) = x11 x64 (x8 x65 x64 x66)(x11 x64 x66 = x10 x65False)False.
Assume H11: ∀ x64 x65 x66 . x3 x66x3 x64x4 x66(x66 = x62False)x5 x65x13 x65x6 x65x12 x65x7 x65 = x66(x0 (x8 x65 x64 x66) x66False)(x11 x64 x66 = x10 x65False)False.
Assume H12: ∀ x64 x65 x66 . x3 x66x3 x64x4 x66(x66 = x62False)x5 x65x13 x65x6 x65x12 x65x7 x65 = x66(x3 (x8 x65 x64 x66)False)(x11 x64 x66 = x10 x65False)False.
Assume H13: ∀ x64 x65 . x61 x65 x64(x2 x65 (x1 x64)False)False.
Assume H14: ∀ x64 x65 . x2 x65 (x1 x64)(x61 x65 x64False)False.
Assume H15: ∀ x64 x65 . x2 x64 x65(x63 x65False)(x0 x64 x65False)False.
Assume H16: ∀ x64 x65 . ............x7 x65 = ...x9 x65 (x14 x64 x65) = x9 x64 (x14 x64 x65)(x65 = x64False)False.
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