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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 ιιο be given.
Let x2 of type ι be given.
Let x3 of type ιιο be given.
Let x4 of type ιιι be given.
Let x5 of type ι be given.
Let x6 of type ι be given.
Let x7 of type ιιιο be given.
Let x8 of type ι be given.
Let x9 of type ιιι be given.
Let x10 of type ιι be given.
Let x11 of type ιι be given.
Let x12 of type ιι be given.
Let x13 of type ιι be given.
Let x14 of type ιι be given.
Let x15 of type ιο be given.
Let x16 of type ι be given.
Let x17 of type ι be given.
Let x18 of type ι be given.
Let x19 of type ι be given.
Let x20 of type ι be given.
Let x21 of type ι be given.
Let x22 of type ιο be given.
Let x23 of type ιιι be given.
Let x24 of type ιο be given.
Let x25 of type ιο be given.
Let x26 of type ιο be given.
Let x27 of type ι be given.
Let x28 of type ι be given.
Let x29 of type ιο be given.
Let x30 of type ιο be given.
Let x31 of type ιο be given.
Let x32 of type ιο be given.
Let x33 of type ιι be given.
Let x34 of type ιο be given.
Let x35 of type ι be given.
Let x36 of type ι 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 ι be given.
Let x42 of type ι be given.
Let x43 of type ι be given.
Let x44 of type ι be given.
Let x45 of type ιι be given.
Let x46 of type ιι be given.
Let x47 of type ιι be given.
Let x48 of type ιι be given.
Let x49 of type ιο be given.
Let x50 of type ι be given.
Let x51 of type ιι be given.
Let x52 of type ι be given.
Let x53 of type ι be given.
Let x54 of type ιιι be given.
Let x55 of type ιιο be given.
Let x56 of type ιι be given.
Let x57 of type ιιι be given.
Let x58 of type ιι be given.
Let x59 of type ι be given.
Let x60 of type ιο be given.
Let x61 of type ιο be given.
Let x62 of type ιο be given.
Let x63 of type ιιο be given.
Let x64 of type ιο be given.
Assume H5: ∀ x65 x66 . x64 x66x64 x65(x63 x66 x65False)(x62 x65False)(x61 x66False)False.
Assume H6: ∀ x65 x66 . x0 x66(x66 = x65False)x0 x65False.
Assume H7: ∀ x65 x66 . x64 x66x64 x65(x63 x66 x65False)(x61 x66False)(x62 x65False)False.
Assume H8: ∀ x65 x66 . x1 x65 x66x0 x66False.
Assume H9: ∀ x65 x66 . x64 x66x64 x65x63 x66 x65(x0 x66False)(x61 x65False)(x62 x66False)False.
Assume H10: ∀ x65 . x0 x65(x65 = x2False)False.
Assume H11: ∀ x65 x66 . x60 x66x60 x65x66 = x65(x58 (x57 x66 x65) = x59False)False.
Assume H12: ∀ x65 x66 . x60 x66x60 x65x58 (x57 x66 x65) = x59(x66 = x65False)False.
Assume H13: ∀ x65 x66 x67 . x1 x65 x66x55 x66 (x56 x67)x0 x67False.
Assume H14: ∀ x65 x66 . x64 x66x64 x65x63 x66 x65(x0 x65False)(x62 x66False)(x61 x65False)False.
Assume H15: ∀ x65 x66 x67 . x1 x66 x67x55 x67 (x56 x65)(x55 x66 x65False)False.
Assume H16: ∀ x65 x66 . x64 x66x64 x65x63 x66 x65(x61 x65False)x61 x66False.
Assume H17: ∀ x65 . x60 x65(x57 x65 x59 = x65False)False.
Assume H18: ∀ x65 x66 . x3 x66 x65(x55 x66 (x56 x65)False)False.
Assume H19: ∀ x65 x66 . x55 x66 (x56 x65)(x3 x66 x65False)False.
Assume H20: ∀ x65 x66 . x64 x66x64 x65x63 x66 x65(x62 x66False)x62 x65False.
Assume H21: ∀ x65 . ...(x54 x53 x65 = ...False)False.
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