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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 ιο be given.
Let x2 of type ιιο be given.
Let x3 of type ιι be given.
Let x4 of type ιιι be given.
Let x5 of type ιιι be given.
Let x6 of type ιιιιι be given.
Let x7 of type ιιιιο be given.
Let x8 of type ιιιο be given.
Let x9 of type ιιο be given.
Let x10 of type ιιιι be given.
Let x11 of type ιιιιιι be given.
Let x12 of type ι be given.
Let x13 of type ι be given.
Let x14 of type ιι be given.
Let x15 of type ιο be given.
Let x16 of type ιι be given.
Let x17 of type ιο be given.
Let x18 of type ιο 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 ιο 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 ι be given.
Let x27 of type ιο be given.
Let x28 of type ι be given.
Let x29 of type ιο be given.
Let x30 of type ι be given.
Let x31 of type ι be given.
Let x32 of type ι be given.
Let x33 of type ι be given.
Let x34 of type ιο be given.
Let x35 of type ιο be given.
Let x36 of type ι be given.
Let x37 of type ιο be given.
Let x38 of type ιο be given.
Let x39 of type ιο be given.
Let x40 of type ιιι be given.
Let x41 of type ι be given.
Let x42 of type ι be given.
Let x43 of type ιο be given.
Let x44 of type ιι be given.
Let x45 of type ιο be given.
Let x46 of type ιο be given.
Let x47 of type ι be given.
Let x48 of type ιο be given.
Let x49 of type ιιι be given.
Let x50 of type ι be given.
Let x51 of type ιιι be given.
Let x52 of type ι be given.
Let x53 of type ιο be given.
Let x54 of type ι be given.
Let x55 of type ι be given.
Let x56 of type ιο be given.
Let x57 of type ιο be given.
Let x58 of type ι be given.
Let x59 of type ιο be given.
Let x60 of type ιιο be given.
Let x61 of type ι be given.
Let x62 of type ιο be given.
Let x63 of type ιι be given.
Let x64 of type ιιο be given.
Let x65 of type ιιο be given.
Let x66 of type ιιι be given.
Let x67 of type ιιιιιι be given.
Let x68 of type ιιι be given.
Let x69 of type ιο be given.
Let x70 of type ιιιι be given.
Let x71 of type ιο be given.
Let x72 of type ιιιο be given.
Let x73 of type ι be given.
Let x74 of type ι be given.
Let x75 of type ιο be given.
Assume H5: ∀ x76 x77 . x75 x77(x77 = x76False)x75 x76False.
Assume H6: ∀ x76 x77 . x0 x76 x77x75 x77False.
Assume H7: ∀ x76 . x75 x76(x76 = x74False)False.
Assume H8: ∀ x76 x77 x78 x79 . x1 x79x8 x79 x76 x77x2 x79 (x3 (x4 x76 x77))x1 x78x8 x78 x76 x77x2 x78 (x3 (x4 x76 x77))x5 x79 (x6 x78 x79 x77 x76) = x5 x78 (x6 x78 x79 x77 x76)(x7 x76 x77 x79 x78False)False.
Assume H9: ∀ x76 x77 x78 x79 . x1 x79x8 x79 x76 x77x2 x79 (x3 (x4 x76 x77))x1 x78x8 x78 x76 x77x2 x78 (x3 (x4 x76 x77))(x2 (x6 x78 x79 x77 x76) x76False)(x7 x76 x77 x79 x78False)False.
Assume H10: ∀ x76 x77 x78 . x0 x76 x77x2 x77 (x3 x78)x75 x78False.
Assume H11: ∀ x76 x77 x78 . x0 x77 x78x2 x78 (x3 x76)(x2 x77 x76False)False.
Assume H12: ∀ x76 x77 . x9 x77 x76(x2 x77 (x3 x76)False)False.
Assume H13: ∀ x76 x77 . x2 x77 (x3 x76)(x9 x77 x76False)False.
Assume H14: ∀ x76 x77 . x1 x77x8 x77 x12 x13x2 x77 (x3 (x4 x12 x13))x1 x76x8 x76 x12 x13x2 x76 (x3 (x4 x12 x13))(x7 x12 x13 (x11 x12 x13 x13 (x10 x12 x13 x77) (x10 x12 x13 x76)) (x10 x12 x13 (x11 x12 x13 x13 x77 x76))False)False.
Assume H15: ∀ x76 x77 . .........False.
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