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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 ιο 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 ι be given.
Let x9 of type ι be given.
Let x10 of type ιο be given.
Let x11 of type ι be given.
Let x12 of type ι 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 ιιο be given.
Let x23 of type ι be given.
Let x24 of type ιιι be given.
Let x25 of type ιο be given.
Let x26 of type ι be given.
Let x27 of type ιο be given.
Let x28 of type ιιι be given.
Let x29 of type ιο be given.
Let x30 of type ιιι be given.
Let x31 of type ιιιο be given.
Let x32 of type ιο be given.
Let x33 of type ιο 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 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 ιιι be given.
Let x42 of type ιι be given.
Let x43 of type ιο be given.
Let x44 of type ιιι be given.
Let x45 of type ιο be given.
Let x46 of type ιιι be given.
Let x47 of type ιιο 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 ι be given.
Let x54 of type ι be given.
Let x55 of type ιο be given.
Let x56 of type ι be given.
Let x57 of type ι be given.
Let x58 of type ιο be given.
Let x59 of type ιι be given.
Let x60 of type ιι be given.
Let x61 of type ιο be given.
Let x62 of type ιιι be given.
Let x63 of type ιιιο be given.
Let x64 of type ι be given.
Let x65 of type ι be given.
Let x66 of type ιιι be given.
Let x67 of type ι be given.
Let x68 of type ιο be given.
Assume H5: ∀ x69 x70 . x68 x70(x70 = x69False)x68 x69False.
Assume H6: ∀ x69 x70 . x0 x69 x70x68 x70False.
Assume H7: ∀ x69 . x68 x69(x69 = x67False)False.
Assume H8: ∀ x69 x70 x71 . x0 x69 x70x2 x70 (x1 x71)x68 x71False.
Assume H9: ∀ x69 x70 x71 . x0 x70 x71x2 x71 (x1 x69)(x2 x70 x69False)False.
Assume H10: ∀ x69 x70 . x3 x70 x69(x2 x70 (x1 x69)False)False.
Assume H11: ∀ x69 x70 . x2 x70 (x1 x69)(x3 x70 x69False)False.
Assume H12: ∀ x69 . x4 x69(x5 x6 x69 = x69False)False.
Assume H13: ∀ x69 x70 . x2 x69 x70(x68 x70False)(x0 x69 x70False)False.
Assume H14: ∀ x69 . x4 x69(x5 x69 x7 = x7False)False.
Assume H15: ∀ x69 x70 . x0 x70 x69(x2 x70 x69False)False.
Assume H16: (x2 x67 x8False)False.
Assume H17: ∀ x69 . x4 x69(x66 x69 x7 = x69False)False.
Assume H18: ∀ x69 x70 x71 . x4 x71x4 x69x4 x70(x5 (x5 x71 x69) x70 = x5 x71 (x5 x69 x70)False)False.
Assume H19: ∀ x69 x70 x71 . x4 x71x4 x69x4 x70(x66 (x66 x71 x69) x70 = x66 x71 (x66 x69 x70)False)False.
Assume H20: ∀ x69 x70 x71 . x4 x71x4 x69x4 x70(x5 (x66 x71 x69) x70 = x66 (x5 x71 x70) (x5 x69 x70)False)False.
Assume H21: (x2 x64 x65False)False.
Assume H22: (x2 x64 x9False)False.
Assume H23: (x63 x64 x65 x9False)False.
Assume H24: (x10 x64False)False.
Assume H25: x68 ...False.
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