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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 ιιι be given.
Let x3 of type ι 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 ιιιι be given.
Let x8 of type ιιι be given.
Let x9 of type ι be given.
Let x10 of type ι be given.
Let x11 of type ιιι be given.
Let x12 of type ιο be given.
Let x13 of type ι be given.
Let x14 of type ιο 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 ιο be given.
Let x19 of type ι be given.
Let x20 of type ιι be given.
Let x21 of type ιιο be given.
Let x22 of type ι be given.
Let x23 of type ιο be given.
Let x24 of type ι 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 ιο be given.
Let x29 of type ι be given.
Let x30 of type ι be given.
Let x31 of type ι be given.
Let x32 of type ιι be given.
Let x33 of type ι be given.
Let x34 of type ιι be given.
Let x35 of type ιο be given.
Let x36 of type ιο 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 ι be given.
Let x41 of type ιο be given.
Let x42 of type ιο 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 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 ιο 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 ι be given.
Let x55 of type ιο be given.
Let x56 of type ιι be given.
Let x57 of type ι be given.
Let x58 of type ι be given.
Let x59 of type ιο be given.
Let x60 of type ιιιο be given.
Let x61 of type ι be given.
Let x62 of type ιιι be given.
Let x63 of type ιι be given.
Let x64 of type ιι be given.
Let x65 of type ιιι be given.
Let x66 of type ιιο be given.
Let x67 of type ιιο be given.
Let x68 of type ιι be given.
Let x69 of type ι be given.
Let x70 of type ιο be given.
Assume H5: ∀ x71 x72 . x70 x72(x72 = x71False)x70 x71False.
Assume H6: ∀ x71 x72 . x0 x71 x72x70 x72False.
Assume H7: ∀ x71 . x70 x71(x71 = x69False)False.
Assume H8: ∀ x71 . x1 x71(x2 x71 x3 = x71False)False.
Assume H9: ∀ x71 x72 x73 . x0 x71 x72x67 x72 (x68 x73)x70 x73False.
Assume H10: ∀ x71 x72 x73 . x0 x72 x73x67 x73 (x68 x71)(x67 x72 x71False)False.
Assume H11: ∀ x71 x72 . x66 x72 x71(x67 x72 (x68 x71)False)False.
Assume H12: ∀ x71 x72 . x67 x72 (x68 x71)(x66 x72 x71False)False.
Assume H13: ∀ x71 . x1 x71(x65 x3 x71 = x71False)False.
Assume H14: ∀ x71 x72 x73 . x67 x73 x4x67 x71 x4x67 x72 x4(x5 (x7 x73 x71 x72) (x7 x73 x71 (x5 x72 x6)) = x8 x9 (x7 x73 x71 (x5 x72 x9))False)False.
Assume H15: ∀ x71 . x67 x71 x4(x7 x9 x3 x71 = x64 x71False)False.
Assume H16: ∀ x71 x72 . x67 x71 x72(x70 x72False)(x0 x71 x72False)False.
Assume H17: ∀ x71 x72 . x0 x72 x71(x67 x72 x71False)False.
Assume H18: (x67 x69 x10False)False.
Assume H19: ∀ x71 x72 . x1 x72x1 x71(x62 (x63 x72) (x63 x71) = x62 x71 x72False)False.
Assume H20: ∀ x71 x72 . x1 x72x1 x71(x11 (x63 x72) (x63 x71) = x63 (x11 x72 x71)False)False.
Assume H21: ∀ x71 x72 x73 . ...x1 x71x1 x72(x65 (x65 x73 x71) x72 = x65 x73 (x65 x71 x72)False)False.
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