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Proofgold Signed Transaction

vin
PrPhD../ca920..
PUQJp../efd73..
vout
PrPhD../da052.. 3.39 bars
TMLbX../2b35f.. ownership of 60395.. as prop with payaddr PrPhD.. rights free controlledby PrPhD.. upto 0
TMS2F../f1494.. ownership of a9f38.. as prop with payaddr PrPhD.. rights free controlledby PrPhD.. upto 0
PUN2F../955ab.. doc published by PrPhD..
Definition FalseFalse := ∀ x0 : ο . x0
Definition notnot := λ x0 : ο . x0False
Theorem 60395.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 x8 . ∀ x9 : ι → ι . ∀ x10 x11 x12 x13 x14 x15 x16 : ι → ο . ∀ x17 . ∀ x18 : ι → ι → ο . ∀ x19 x20 . ∀ x21 : ι → ο . ∀ x22 : ι → ι . ∀ x23 : ι → ι → ο . ∀ x24 : ι → ι → ι → ι . ∀ x25 x26 : ι → ο . (∀ x27 x28 x29 x30 . (x26 x30False)x21 x30x25 x30x23 x27 (x22 x30)x23 x29 (x22 x30)x23 x28 (x22 x30)(x24 x30 x27 (x24 x30 x29 (x24 x30 x28 x28)) = x24 x30 x27 (x24 x30 x29 (x24 x30 x28 x27))False)False)(∀ x27 x28 x29 . (x26 x29False)x21 x29x25 x29x23 x27 (x22 x29)x23 x28 (x22 x29)(x24 x29 (x24 x29 x27 x28) (x24 x29 x27 x27) = x27False)False)((x18 x19 x20False)False)((x25 x19False)False)((x21 x17False)False)((x0 x17False)False)((x16 x17False)False)((x1 x17False)False)(x26 x17False)((x25 x17False)False)(∀ x27 . (x15 x27False)x13 x27x14 (x22 x27)False)(∀ x27 . x15 x27x13 x27(x14 (x22 x27)False)False)(∀ x27 . x12 x27x13 x27(x11 (x22 x27)False)False)(∀ x27 . (x12 x27False)x13 x27x11 (x22 x27)False)(∀ x27 . (x26 x27False)x13 x27x10 (x22 x27)False)(∀ x27 . x26 x27x13 x27(x10 (x22 x27)False)False)(∀ x27 . (x23 (x9 x27) x27False)False)((x13 x2False)False)((x25 x8False)False)(∀ x27 . x25 x27(x13 x27False)False)(∀ x27 x28 x29 . (x26 x29False)x25 x29x23 x28 (x22 x29)x23 x27 (x22 x29)(x23 (x24 x29 x28 x27) (x22 x29)False)False)(∀ x27 . x13 x27x18 x27 x3(x26 x27False)False)(∀ x27 . x13 x27x26 x27(x18 x27 x3False)False)(∀ x27 . x13 x27(x15 x27False)x12 x27False)(∀ x27 . x13 x27x12 x27(x15 x27False)False)(∀ x27 . x13 x27(x15 x27False)x15 x27False)(∀ x27 . x13 x27(x15 x27False)x26 x27False)(∀ x27 . x13 x27x26 x27(x15 x27False)False)(∀ x27 . x13 x27x26 x27(x26 x27False)False)(∀ x27 . x25 x27x18 x27 x20(x0 x27False)False)(∀ x27 . x25 x27x18 x27 x20(x16 x27False)False)(∀ x27 . x25 x27x18 x27 x20(x1 x27False)False)(∀ x27 . x25 x27x18 x27 x20(x18 x27 x20False)False)(∀ x27 . x13 x27(x12 x27False)x26 x27False)(∀ x27 . x13 x27x26 x27(x12 x27False)False)(∀ x27 . x25 x27(x26 x27False)x12 x27(x21 x27False)False)(∀ x27 . x25 x27(x26 x27False)x12 x27x26 x27False)(∀ x27 . x13 x27(x12 x27False)x26 x27False)(∀ x27 . x13 x27x18 x27 x20(x12 x27False)False)(∀ x27 . x13 x27x18 x27 x20x26 x27False)(∀ x27 . x13 x27(x26 x27False)x12 x27(x18 x27 x20False)False)(x24 x7 x4 (x24 x7 x6 (x24 x7 (x24 x7 x5 x5) x4)) = x24 x7 x4 (x24 x7 x6 x5)False)((x23 x5 (x22 x7)False)False)((x23 x6 (x22 x7)False)False)((x23 x4 (x22 x7)False)False)((x25 x7False)False)((x21 x7False)False)(x26 x7False)False (proof)