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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 ιο be given.
Let x4 of type ιο be given.
Let x5 of type ιιο be given.
Let x6 of type ι be given.
Let x7 of type ιι be given.
Let x8 of type ιιιο be given.
Let x9 of type ιιι be given.
Let x10 of type ιιι be given.
Let x11 of type ιο be given.
Let x12 of type ι be given.
Let x13 of type ιο be given.
Let x14 of type ι be given.
Let x15 of type ιιο 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 ιο be given.
Let x20 of type ιο be given.
Let x21 of type ι be given.
Let x22 of type ιο be given.
Let x23 of type ιο be given.
Let x24 of type ιο be given.
Let x25 of type ιιι be given.
Let x26 of type ιιι be given.
Let x27 of type ιο be given.
Let x28 of type ι 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 ιιι be given.
Let x33 of type ιι be given.
Let x34 of type ιιι 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 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 ιο be given.
Let x43 of type ιιι be given.
Let x44 of type ιι be given.
Let x45 of type ι be given.
Let x46 of type ι be given.
Let x47 of type ιι be given.
Let x48 of type ι be given.
Let x49 of type ιο be given.
Let x50 of type ιι be given.
Let x51 of type ιιο be given.
Let x52 of type ιι be given.
Let x53 of type ιιι be given.
Let x54 of type ιο be given.
Let x55 of type ιο be given.
Let x56 of type ιιι be given.
Let x57 of type ιιι be given.
Let x58 of type ιο be given.
Let x59 of type ι be given.
Let x60 of type ιιιιο be given.
Let x61 of type ιο be given.
Let x62 of type ιιι be given.
Let x63 of type ιι be given.
Let x64 of type ιιι be given.
Let x65 of type ιιιο be given.
Let x66 of type ι be given.
Let x67 of type ιιι be given.
Let x68 of type ι be given.
Let x69 of type ι be given.
Let x70 of type ιιο be given.
Let x71 of type ιιο be given.
Let x72 of type ι be given.
Let x73 of type ιο be given.
Assume H5: ∀ x74 x75 . x73 x75(x75 = x74False)x73 x74False.
Assume H6: ∀ x74 x75 . x0 x74 x75x73 x75False.
Assume H7: ∀ x74 . x73 x74(x74 = x72False)False.
Assume H8: ∀ x74 x75 x76 . x0 x74 x75x2 x75 (x1 x76)x73 x76False.
Assume H9: ∀ x74 x75 x76 . x0 x75 x76x2 x76 (x1 x74)(x2 x75 x74False)False.
Assume H10: ∀ x74 x75 . x3 x75x3 x74x5 x75 x74(x4 x74False)x4 x75False.
Assume H11: ∀ x74 x75 . x71 x75 x74(x2 x75 (x1 x74)False)False.
Assume H12: ∀ x74 x75 . x2 x75 (x1 x74)(x71 x75 x74False)False.
Assume H13: ∀ x74 x75 . x2 x74 x75(x73 x75False)(x0 x74 x75False)False.
Assume H14: ∀ x74 x75 . x0 x75 x74(x2 x75 x74False)False.
Assume H15: ∀ x74 x75 . x3 x75x3 x74x5 x75 x74x4 x75(x4 x74False)False.
Assume H16: (x2 x72 x6False)False.
Assume H17: ∀ x74 x75 x76 . (x73 x76False)x2 x74 x76x70 x75 (x67 x68 x69)x61 x75x65 x75 x76 x66x2 x75 (x1 (x64 x76 x66))(x5 (x62 x75 x74) (x62 (x63 x76) x74)False)False.
Assume H18: ∀ x74 x75 x76 . (x73 x76False)x2 x74 x76x70 x75 (x67 x68 x69)x61 x75x65 x75 x76 x66x2 x75 (x1 (x64 x76 x66))(x5 (x62 (x7 x76) x74) (x62 x75 x74)False)False.
Assume H19: ∀ x74 x75 x76 x77 . ...............x2 x76 (x1 ...)x60 x74 x75 x77 x76(x60 x74 x75 x76 x77False)False.
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