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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 ιιι be given.
Let x4 of type ιο be given.
Let x5 of type ιιι be given.
Let x6 of type ιιιιο be given.
Let x7 of type ιιιο be given.
Let x8 of type ιιιο be given.
Let x9 of type ιιιο be given.
Let x10 of type ιιο be given.
Let x11 of type ιι be given.
Let x12 of type ιιιι be given.
Let x13 of type ι be given.
Let x14 of type ιιι be given.
Let x15 of type ιι be given.
Let x16 of type ιι be given.
Let x17 of type ιι be given.
Let x18 of type ιι be given.
Let x19 of type ιιο be given.
Let x20 of type ιι be given.
Let x21 of type ιο be given.
Let x22 of type ι be given.
Let x23 of type ιι be given.
Let x24 of type ι be given.
Let x25 of type ιιο be given.
Let x26 of type ιι be given.
Let x27 of type ιι be given.
Let x28 of type ιιι be given.
Let x29 of type ι be given.
Let x30 of type ιιιι be given.
Let x31 of type ιιιι be given.
Let x32 of type ιι be given.
Let x33 of type ιιιιιι be given.
Let x34 of type ιιι 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 ι be given.
Let x40 of type ιο be given.
Let x41 of type ιιιιι be given.
Let x42 of type ιιιιι be given.
Let x43 of type ιιι be given.
Let x44 of type ιιιιι be given.
Let x45 of type ι be given.
Let x46 of type ιι be given.
Let x47 of type ιιι be given.
Let x48 of type ι be given.
Let x49 of type ιιι be given.
Let x50 of type ιιο be given.
Let x51 of type ιι be given.
Let x52 of type ι be given.
Let x53 of type ιο be given.
Let x54 of type ιο be given.
Let x55 of type ι be given.
Let x56 of type ιο be given.
Let x57 of type ιι be given.
Let x58 of type ιι be given.
Let x59 of type ιιο be given.
Let x60 of type ιι be given.
Let x61 of type ιιιι be given.
Let x62 of type ιιιι be given.
Let x63 of type ιιι be given.
Let x64 of type ιιιιι 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 ι be given.
Let x69 of type ι be given.
Let x70 of type ι be given.
Let x71 of type ι be given.
Let x72 of type ιιο be given.
Let x73 of type ι be given.
Let x74 of type ιο be given.
Assume H5: ∀ x75 x76 . x74 x76(x76 = x75False)x74 x75False.
Assume H6: ∀ x75 x76 . x0 x75 x76x74 x76False.
Assume H7: ∀ x75 . x74 x75(x75 = x73False)False.
Assume H8: ∀ x75 x76 x77 . x0 x75 x76x2 x76 (x1 x77)x74 x77False.
Assume H9: ∀ x75 x76 x77 . x0 x76 x77x2 x77 (x1 x75)(x2 x76 x75False)False.
Assume H10: ∀ x75 . (x3 x73 x75 = x73False)False.
Assume H11: ∀ x75 x76 . x72 x76 x75(x2 x76 (x1 x75)False)False.
Assume H12: ∀ x75 x76 . x2 x76 (x1 x75)(x72 x76 x75False)False.
Assume H13: ∀ x75 . (x3 x75 x73 = x75False)False.
Assume H14: ∀ x75 x76 . x2 x75 x76(x74 x76False)(x0 x75 x76False)False.
Assume H15: ∀ x75 x76 . x0 x76 x75(x2 x76 x75False)False.
Assume H16: ∀ x75 x76 x77 x78 . x4 x78x7 x78 x75 x76x2 x78 (x1 (x5 x75 x76))x4 x77x7 x77 x75 x76x2 x77 (x1 (x5 x75 x76))x6 x75 x76 x78 x77(x6 x75 x76 x77 x78False)False.
Assume H17: x74 x71False.
Assume H18: ∀ x75 x76 x77 x78 . x4 x78x7 x78 x75 x76x2 x78 (x1 (x5 x75 x76))x4 x77x7 x77 x75 x76x2 x77 (x1 (x5 x75 x76))(x6 x75 x76 x78 x78False)False.
Assume H19: ∀ x75 . (x72 x75 x75False)False.
Assume H20: ∀ x75 x76 x77 x78 . ......x2 ... ...x4 x77x7 x77 x75 x76x2 x77 (x1 (x5 x75 x76))x78 = x77(x6 x75 x76 x78 x77False)False.
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