Search for blocks/addresses/...

Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ιιο be given.
Assume H0: ∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2.
Let x2 of type ι be given.
Assume H1: x2x0.
Let x3 of type ι be given.
Assume H2: x3x0.
Let x4 of type ι be given.
Assume H3: x4x0.
Let x5 of type ι be given.
Assume H4: x5x0.
Let x6 of type ι be given.
Assume H5: x6x0.
Let x7 of type ι be given.
Assume H6: x7x0.
Let x8 of type ι be given.
Assume H7: x8x0.
Let x9 of type ι be given.
Assume H8: x9x0.
Let x10 of type ι be given.
Assume H9: x10x0.
Let x11 of type ι be given.
Assume H10: x11x0.
Let x12 of type ι be given.
Assume H11: x12x0.
Assume H12: f7297.. x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12.
Let x13 of type ο be given.
Assume H13: 6f07c.. x1 x6 x3 x8 x10 x2 x7 x4 x9 x5 x11(x6 = x12∀ x14 : ο . x14)(x3 = x12∀ x14 : ο . x14)(x8 = x12∀ x14 : ο . x14)(x10 = x12∀ x14 : ο . x14)(x2 = x12∀ x14 : ο . x14)(x7 = x12∀ x14 : ο . x14)(x4 = x12∀ x14 : ο . x14)(x9 = x12∀ x14 : ο . x14)(x5 = x12∀ x14 : ο . x14)(x11 = x12∀ x14 : ο . x14)x1 x6 x12not (x1 x3 x12)not (x1 x8 x12)not (x1 x10 x12)x1 x2 x12not (x1 x7 x12)not (x1 x4 x12)not (x1 x9 x12)not (x1 x5 x12)not (x1 x11 x12)x13.
Apply H12 with x13.
Assume H14: 6f07c.. x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11.
Assume H15: x2 = x12∀ x14 : ο . x14.
Assume H16: x3 = x12∀ x14 : ο . x14.
Assume H17: x4 = x12∀ x14 : ο . x14.
Assume H18: x5 = x12∀ x14 : ο . x14.
Assume H19: x6 = x12∀ x14 : ο . x14.
Assume H20: x7 = x12∀ x14 : ο . x14.
Assume H21: x8 = x12∀ x14 : ο . x14.
Assume H22: x9 = x12∀ x14 : ο . x14.
Assume H23: x10 = x12∀ x14 : ο . x14.
Assume H24: x11 = x12∀ x14 : ο . x14.
Assume H25: x1 x2 x12.
Assume H26: not (x1 x3 x12).
Assume H27: not (x1 x4 x12).
Assume H28: not (x1 x5 x12).
Assume H29: x1 x6 x12.
Assume H30: not (x1 ... ...).
...