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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 ιιι be given.
Let x1 of type ι be given.
Let x2 of type ι be given.
Let x3 of type ιιο be given.
Let x4 of type ιι be given.
Let x5 of type ιιο be given.
Let x6 of type ιιι be given.
Let x7 of type ιιι be given.
Let x8 of type ι be given.
Let x9 of type ι be given.
Let x10 of type ιιιο be given.
Let x11 of type ι be given.
Let x12 of type ιο be given.
Let x13 of type ιι be given.
Let x14 of type ιο be given.
Let x15 of type ι be given.
Let x16 of type ι be given.
Let x17 of type ιο be given.
Let x18 of type ι 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 ι be given.
Let x25 of type ιιο be given.
Let x26 of type ιιι be given.
Let x27 of type ιο be given.
Let x28 of type ιιι be given.
Let x29 of type ιι be given.
Let x30 of type ιιι be given.
Let x31 of type ιο be given.
Let x32 of type ιο be given.
Let x33 of type ιο be given.
Let x34 of type ι 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 ιιιο be given.
Let x39 of type ιιι be given.
Let x40 of type ιο be given.
Let x41 of type ιιι be given.
Let x42 of type ιο be given.
Let x43 of type ιο be given.
Let x44 of type ι be given.
Let x45 of type ιο be given.
Let x46 of type ι 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 ι be given.
Let x53 of type ι be given.
Let x54 of type ιο be given.
Let x55 of type ιι be given.
Let x56 of type ι be given.
Let x57 of type ιο be given.
Let x58 of type ι be given.
Let x59 of type ιι 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 ι be given.
Let x64 of type ιο be given.
Let x65 of type ιιι be given.
Let x66 of type ιι be given.
Let x67 of type ιιι be given.
Let x68 of type ιιι be given.
Let x69 of type ιι be given.
Let x70 of type ιο be given.
Assume H5: ∀ x71 x72 . x70 x72x70 x71(x66 (x65 x72 x71) = x67 (x68 (x69 x72) (x66 x71)) (x68 (x69 x71) (x66 x72))False)False.
Assume H6: ∀ x71 x72 . x70 x72x70 x71(x69 (x65 x72 x71) = x0 (x68 (x69 x72) (x69 x71)) (x68 (x66 x72) (x66 x71))False)False.
Assume H7: ∀ x71 x72 . x64 x72(x72 = x71False)x64 x71False.
Assume H8: (x66 x1 = x2False)False.
Assume H9: (x69 x1 = x63False)False.
Assume H10: ∀ x71 x72 . x3 x71 x72x64 x72False.
Assume H11: ∀ x71 . x64 x71(x71 = x62False)False.
Assume H12: ∀ x71 x72 x73 . x3 x71 x72x5 x72 (x4 x73)x64 x73False.
Assume H13: ∀ x71 x72 x73 . x3 x72 x73x5 x73 (x4 x71)(x5 x72 x71False)False.
Assume H14: ∀ x71 . x70 x71(x6 x71 x63 = x71False)False.
Assume H15: ∀ x71 x72 . x61 x72 x71(x5 x72 (x4 x71)False)False.
Assume H16: ∀ x71 x72 . x5 x72 (x4 x71)(x61 x72 x71False)False.
Assume H17: ∀ x71 . x70 x71(x65 x2 x71 = x71False)False.
Assume H18: ∀ x71 x72 . x5 x71 x72(x64 x72False)(x3 x71 x72False)False.
Assume H19: ∀ x71 . x70 x71(x65 x71 x63 = x63False)False.
Assume H20: ∀ x71 x72 . x3 x72 x71(x5 x72 x71False)False.
Assume H21: (x5 x62 x60False)False.
Assume H22: ∀ x71 . x70 x71(x7 x71 x63 = x71False)False.
Assume H23: ∀ x71 x72 . x70 x72x70 x71(x6 (x59 x72) (x59 x71) = x6 x71 x72False)False.
Assume H24: ∀ x71 x72 . .........False.
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