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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 ιιιι be given.
Let x6 of type ι be given.
Let x7 of type ιιι be given.
Let x8 of type ιιι be given.
Let x9 of type ι be given.
Let x10 of type ιο be given.
Let x11 of type ιιι be given.
Let x12 of type ι be given.
Let x13 of type ι be given.
Let x14 of type ιιιο 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 ι be given.
Let x19 of type ιι be given.
Let x20 of type ιο be given.
Let x21 of type ι be given.
Let x22 of type ιι be given.
Let x23 of type ιο be given.
Let x24 of type ι be given.
Let x25 of type ιο be given.
Let x26 of type ι be given.
Let x27 of type ι be given.
Let x28 of type ι be given.
Let x29 of type ι be given.
Let x30 of type ιι 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 ιο be given.
Let x35 of type ιο 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 ιο be given.
Let x40 of type ιο be given.
Let x41 of type ιο be given.
Let x42 of type ιιι be given.
Let x43 of type ιο be given.
Let x44 of type ι be given.
Let x45 of type ιι 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 ιο 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 ι be given.
Let x56 of type ιιο be given.
Let x57 of type ιι be given.
Let x58 of type ι be given.
Let x59 of type ιο be given.
Let x60 of type ι be given.
Let x61 of type ιο 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 ι be given.
Let x66 of type ι 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 x70 x71 . x4 x71x4 x69x4 x70(x5 x71 x69 (x8 (x7 x70 x6) x6) = x8 (x5 x71 x69 x70) (x5 x71 x69 (x7 x70 x6))False)False.
Assume H13: ∀ x69 x70 . x4 x70x4 x69(x5 x70 x69 x6 = x69False)False.
Assume H14: ∀ x69 x70 . x4 x70x4 x69(x5 x70 x69 x9 = x70False)False.
Assume H15: ∀ x69 x70 . x2 x69 x70(x68 x70False)(x0 x69 x70False)False.
Assume H16: ∀ x69 x70 . x0 x70 x69(x2 x70 x69False)False.
Assume H17: (x2 x67 x66False)False.
Assume H18: ∀ x69 . x10 x69(x11 x69 x9 = x69False)False.
Assume H19: ∀ x69 x70 x71 . x10 x71x10 x69x10 x70(x11 (x11 x71 x69) x70 = x11 x71 (x11 x69 x70)False)False.
Assume H20: (x2 x13 x12False)False.
Assume H21: (x2 x13 x65False)False.
Assume H22: (x14 x13 x12 x65False)False.
Assume H23: (x64 x13False)False.
Assume H24: x68 x13False.
Assume H25: (x2 x63 x12False)False.
Assume H26: ....
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