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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 ιιι be given.
Let x5 of type ι be given.
Let x6 of type ιο be given.
Let x7 of type ιο be given.
Let x8 of type ιο be given.
Let x9 of type ιο be given.
Let x10 of type ιιιο be given.
Let x11 of type ιιιιο be given.
Let x12 of type ιο be given.
Let x13 of type ιο be given.
Let x14 of type ιο be given.
Let x15 of type ιο be given.
Let x16 of type ιιι be given.
Let x17 of type ιιι be given.
Let x18 of type ιι be given.
Let x19 of type ιο be given.
Let x20 of type ι be given.
Let x21 of type ιο be given.
Let x22 of type ιιο be given.
Let x23 of type ιιι be given.
Let x24 of type ιο be given.
Let x25 of type ιιιιι be given.
Let x26 of type ιο be given.
Let x27 of type ιο be given.
Let x28 of type ιιιι be given.
Let x29 of type ιι be given.
Let x30 of type ιιιιο be given.
Let x31 of type ιιιι be given.
Let x32 of type ι be given.
Let x33 of type ι be given.
Let x34 of type ιιιιι be given.
Let x35 of type ιιιιιιι 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 ι be given.
Let x41 of type ι be given.
Let x42 of type ιο be given.
Let x43 of type ιιο be given.
Let x44 of type ιιο be given.
Let x45 of type ιιιιι be given.
Let x46 of type ιιιι 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 ιιιιι be given.
Let x51 of type ιιιιιο be given.
Let x52 of type ιιι be given.
Let x53 of type ιιιι be given.
Let x54 of type ιιι be given.
Let x55 of type ιιο be given.
Let x56 of type ιι be given.
Let x57 of type ιι be given.
Let x58 of type ιο 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 ιι be given.
Let x63 of type ιο be given.
Let x64 of type ιιι be given.
Let x65 of type ιιιιι be given.
Let x66 of type ιιι be given.
Let x67 of type ιιιο be given.
Let x68 of type ιιι be given.
Let x69 of type ιιι be given.
Let x70 of type ιι be given.
Let x71 of type ιο 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 x75 x74(x2 x75 (x1 x74)False)False.
Assume H11: ∀ x74 x75 . x2 x75 (x1 x74)(x3 x75 x74False)False.
Assume H12: ∀ x74 x75 x76 . x0 x75 x76x0 x74 x76x0 x74 (x4 x76 x75)False.
Assume H13: ∀ x74 x75 . x0 x75 x74(x0 (x4 x74 x75) x74False)False.
Assume H14: ∀ x74 x75 . x2 x74 x75(x73 x75False)(x0 x74 x75False)False.
Assume H15: ∀ x74 x75 . x0 x75 x74(x2 x75 x74False)False.
Assume H16: x73 x5False.
Assume H17: ∀ x74 . (x3 x74 x74False)False.
Assume H18: ∀ x74 x75 x76 x77 . (x6 x77False)(x15 x77False)x7 x77x14 x77x8 x77x13 x77x9 x77x12 x77(x6 x76False)(x15 x76False)x7 x76x14 x76x8 x76x13 x76x9 x76x12 x76x10 x75 x77 x76x10 x74 x77 x76(x11 x77 x76 x75 x75False)False.
Assume H19: ∀ x74 x75 . (x6 x75False)(x15 x75False)x71 x75x2 x74 (x70 x75)(x68 x75 x74 = x69 x75 x74False)False.
Assume H20: ∀ x74 x75 . .........x2 ... ...(x17 x75 x74 = x16 x75 x74False)False.
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