Proofgold Asset

Param and : ο → ο → ο
Param 244aa.. : (ι → ι → ο) → ο
Param 98f68.. : (ι → ι → ο) → ο
Param e34e9.. : (ι → ι → ο) → ο
Param 5d0c6.. : (ι → ι → ο) → ο
Param True : ο
Definition 9c473.. := λ x0 : ι → ι → ο . and (and (and (and (244aa.. x0) (98f68.. x0)) (e34e9.. x0)) (5d0c6.. x0)) True
Param 39ffe.. : (ι → ι → ο) → ο
Param 548f8.. : (ι → ι → ο) → ο
Param 17cd1.. : (ι → ι → ο) → ο
Param 29aed.. : (ι → ι → ο) → ο
Definition 10817.. := λ x0 : ι → ι → ο . and (and (and (and (39ffe.. x0) (548f8.. x0)) (17cd1.. x0)) (29aed.. x0)) True
Definition 65996.. := prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim1 (λ x0 . x0))))))))))
Param 1f2c4.. : ι
Definition 1f2c4.. := 1f2c4..
Definition 6c7e1.. := λ x0 : ι → ι → ο . and (9c473.. x0) (x0 65996.. 1f2c4..)
Param d478c.. : (ι → ι → ο) → (ι → ι → ο) → ι → ο
Conjecture 24dae.. : ∀ x0 x1 : ι → ι → ο . 9c473.. x0 ⟶ 10817.. x1 ⟶ d478c.. x0 x1 1f2c4..
Definition f73d5.. := prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim1 (λ x0 . x0))))))))))
Param 57d6a.. : ι → ι → ι
Param 67ee8.. : ι
Param 25ca3.. : ι
Definition 3ece5.. := 57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)
Definition 02131.. := λ x0 : ι → ι → ο . and (6c7e1.. x0) (x0 f73d5.. 3ece5..)
Conjecture d24fe.. : ∀ x0 x1 : ι → ι → ο . 6c7e1.. x0 ⟶ 10817.. x1 ⟶ d478c.. x0 x1 3ece5..
Definition 0f581.. := prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim1 (λ x0 . x0)))))))))))
Definition 3ece5.. := 57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)
Definition d86d6.. := λ x0 : ι → ι → ο . and (02131.. x0) (x0 0f581.. 3ece5..)
Conjecture 97f0d.. : ∀ x0 x1 : ι → ι → ο . 02131.. x0 ⟶ 10817.. x1 ⟶ d478c.. x0 x1 3ece5..
Definition 74351.. := prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x1 x1))))) (prim1 (λ x0 . x0)))))))))))))))))))))
Param 3cd3c.. : ι
Param 7a0ec.. : ι
Param 62f06.. : ι
Param 5b8fe.. : ι
Param bcddf.. : ι → (ι → ι) → ι
Param f3baa.. : ι
Definition 7af9e.. := 57d6a.. 3cd3c.. (57d6a.. (57d6a.. 7a0ec.. (57d6a.. (57d6a.. 62f06.. 65996..) 5b8fe..)) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. (57d6a.. (57d6a.. 62f06.. 65996..) 5b8fe..))) (λ x0 . 57d6a.. (57d6a.. f3baa.. (57d6a.. x0 f73d5..)) (57d6a.. (57d6a.. f3baa.. (57d6a.. x0 0f581..)) (57d6a.. (57d6a.. 7a0ec.. 65996..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (57d6a.. x0)))))))
Definition 9d195.. := λ x0 : ι → ι → ο . and (d86d6.. x0) (x0 74351.. 7af9e..)
Conjecture 04b9e.. : ∀ x0 x1 : ι → ι → ο . d86d6.. x0 ⟶ 10817.. x1 ⟶ d478c.. x0 x1 7af9e..
Definition 780a9.. := prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim1 (λ x0 . x0)))))))))))))))))))))
Param 27862.. : ι
Definition caa73.. := 57d6a.. 67ee8.. (57d6a.. 27862.. (bcddf.. 1f2c4.. (λ x0 . 57d6a.. 25ca3.. (57d6a.. (57d6a.. 62f06.. x0) (57d6a.. (57d6a.. 62f06.. x0) (57d6a.. (57d6a.. 62f06.. 65996..) x0))))))
Definition c7112.. := λ x0 : ι → ι → ο . and (9d195.. x0) (x0 780a9.. caa73..)
Conjecture f2b08.. : ∀ x0 x1 : ι → ι → ο . 9d195.. x0 ⟶ 10817.. x1 ⟶ d478c.. x0 x1 caa73..
Definition 3cfef.. := prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim1 (λ x0 . x0)))))))))))))))))))))))))))))
Param cb931.. : ι
Param 5bcaf.. : ι
Definition 76102.. := 57d6a.. 3cd3c.. (57d6a.. cb931.. (bcddf.. 1f2c4.. (λ x0 . 57d6a.. (57d6a.. 7a0ec.. x0) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. x0)) (λ x1 . 57d6a.. (57d6a.. 7a0ec.. x0) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. x0)) (λ x2 . 57d6a.. (57d6a.. (57d6a.. 5bcaf.. x0) (57d6a.. (57d6a.. (57d6a.. (57d6a.. 780a9.. x0) x1) x2) f73d5..)) x1)))))))
Definition 14a9a.. := λ x0 : ι → ι → ο . and (c7112.. x0) (x0 3cfef.. 76102..)
Conjecture bb904.. : ∀ x0 x1 : ι → ι → ο . c7112.. x0 ⟶ 10817.. x1 ⟶ d478c.. x0 x1 76102..
Definition 5da20.. := prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim1 (λ x0 . x0))))))))))))))))))))))))))))))
Definition e9f3d.. := 57d6a.. 3cd3c.. (57d6a.. cb931.. (bcddf.. 1f2c4.. (λ x0 . 57d6a.. (57d6a.. 7a0ec.. x0) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. x0)) (λ x1 . 57d6a.. (57d6a.. 7a0ec.. x0) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. x0)) (λ x2 . 57d6a.. (57d6a.. (57d6a.. 5bcaf.. x0) (57d6a.. (57d6a.. (57d6a.. (57d6a.. 780a9.. x0) x1) x2) 0f581..)) x2)))))))
Definition 15a56.. := λ x0 : ι → ι → ο . and (14a9a.. x0) (x0 5da20.. e9f3d..)
Conjecture a0000.. : ∀ x0 x1 : ι → ι → ο . 14a9a.. x0 ⟶ 10817.. x1 ⟶ d478c.. x0 x1 e9f3d..
Definition 9761f.. := prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim1 (λ x0 . x0)))))))))))))))))))))))))))))))))
Definition 8ff2e.. := 57d6a.. 3cd3c.. (57d6a.. cb931.. (bcddf.. 1f2c4.. (λ x0 . 57d6a.. (57d6a.. 7a0ec.. x0) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. x0)) (λ x1 . 57d6a.. (57d6a.. 7a0ec.. x0) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. x0)) (λ x2 . 57d6a.. (57d6a.. (57d6a.. 5bcaf.. x0) x1) (57d6a.. (57d6a.. (57d6a.. (57d6a.. 780a9.. x0) x1) x2) f73d5..))))))))
Param de260.. : ι
Definition fa10d.. := bcddf.. 1f2c4.. (λ x0 . bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. x0)) (λ x1 . bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. x0)) (λ x2 . 57d6a.. (57d6a.. (57d6a.. (57d6a.. de260.. x0) (57d6a.. (57d6a.. (57d6a.. (57d6a.. 780a9.. x0) x1) x2) f73d5..)) x1) (57d6a.. (57d6a.. (57d6a.. 3cfef.. x0) x1) x2))))
Definition 2fce4.. := λ x0 : ι → ι → ο . and (15a56.. x0) (x0 9761f.. 8ff2e..)
Conjecture 7b5ff.. : ∀ x0 x1 : ι → ι → ο . 15a56.. x0 ⟶ 10817.. x1 ⟶ d478c.. x0 x1 8ff2e..
Param 6fe8d.. : (ι → ι → ο) → (ι → ι → ο) → (ι → ι → ο) → ι → ι → ο
Param 5c39b.. : ι → ι → ο
Conjecture 50215.. : ∀ x0 x1 : ι → ι → ο . 15a56.. x0 ⟶ 10817.. x1 ⟶ 6fe8d.. x0 x1 5c39b.. fa10d.. 8ff2e..
Definition 7f199.. := λ x0 : ι → ι → ο . and (10817.. x0) (x0 9761f.. fa10d..)
Definition 6e880.. := prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim1 (λ x0 . x0))))))))))))))))))))))))))))))))))
Definition 1e741.. := 57d6a.. 3cd3c.. (57d6a.. cb931.. (bcddf.. 1f2c4.. (λ x0 . 57d6a.. (57d6a.. 7a0ec.. x0) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. x0)) (λ x1 . 57d6a.. (57d6a.. 7a0ec.. x0) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. x0)) (λ x2 . 57d6a.. (57d6a.. (57d6a.. 5bcaf.. x0) x2) (57d6a.. (57d6a.. (57d6a.. (57d6a.. 780a9.. x0) x1) x2) 0f581..))))))))
Definition f8137.. := bcddf.. 1f2c4.. (λ x0 . bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. x0)) (λ x1 . bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. x0)) (λ x2 . 57d6a.. (57d6a.. (57d6a.. (57d6a.. de260.. x0) (57d6a.. (57d6a.. (57d6a.. (57d6a.. 780a9.. x0) x1) x2) 0f581..)) x2) (57d6a.. (57d6a.. (57d6a.. 5da20.. x0) x1) x2))))
Definition b9cfa.. := λ x0 : ι → ι → ο . and (2fce4.. x0) (x0 6e880.. 1e741..)
Conjecture ec7d3.. : ∀ x0 x1 : ι → ι → ο . 2fce4.. x0 ⟶ 7f199.. x1 ⟶ d478c.. x0 x1 1e741..
Conjecture ed346.. : ∀ x0 x1 : ι → ι → ο . 2fce4.. x0 ⟶ 7f199.. x1 ⟶ 6fe8d.. x0 x1 5c39b.. f8137.. 1e741..
Definition 68987.. := λ x0 : ι → ι → ο . and (7f199.. x0) (x0 6e880.. f8137..)
Definition 79f98.. := prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim1 (λ x0 . x0))))))))))))))))
Param 0eacd.. : ι
Definition b3869.. := 57d6a.. 3cd3c.. (57d6a.. (57d6a.. 7a0ec.. 65996..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (λ x0 . 57d6a.. (57d6a.. 7a0ec.. 65996..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (λ x1 . 57d6a.. (57d6a.. f3baa.. (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) x0) x1)) (57d6a.. (57d6a.. (57d6a.. (57d6a.. 780a9.. 5b8fe..) (57d6a.. (57d6a.. (57d6a.. (57d6a.. 780a9.. 5b8fe..) (57d6a.. (57d6a.. 7a0ec.. 5b8fe..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x2 . 57d6a.. (57d6a.. f3baa.. x2) x2)))) (57d6a.. (57d6a.. 7a0ec.. 5b8fe..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x2 . x2)))) x1)) (57d6a.. (57d6a.. (57d6a.. (57d6a.. 780a9.. 5b8fe..) (57d6a.. (57d6a.. 7a0ec.. 5b8fe..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x2 . x2)))) (57d6a.. (57d6a.. 7a0ec.. 5b8fe..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x2 . 57d6a.. (57d6a.. f3baa.. x2) x2)))) x1)) x0))))))
Param 81b7d.. : ι
Definition 82bc1.. := bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (λ x0 . bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (λ x1 . bcddf.. (57d6a.. 3cd3c.. (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) x0) x1)) (57d6a.. (57d6a.. (57d6a.. (57d6a.. (57d6a.. (57d6a.. 81b7d.. 65996..) x0) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (λ x2 . 57d6a.. (57d6a.. (57d6a.. (57d6a.. 780a9.. 5b8fe..) (57d6a.. (57d6a.. (57d6a.. (57d6a.. 780a9.. 5b8fe..) (57d6a.. (57d6a.. 7a0ec.. 5b8fe..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x3 . 57d6a.. (57d6a.. f3baa.. x3) x3)))) (57d6a.. (57d6a.. 7a0ec.. 5b8fe..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x3 . x3)))) x2)) (57d6a.. (57d6a.. (57d6a.. (57d6a.. 780a9.. 5b8fe..) (57d6a.. (57d6a.. 7a0ec.. 5b8fe..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x3 . x3)))) (57d6a.. (57d6a.. 7a0ec.. 5b8fe..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x3 . 57d6a.. (57d6a.. f3baa.. x3) x3)))) x2)) x0))) (57d6a.. (57d6a.. (57d6a.. (57d6a.. 74351.. (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (λ x2 . 57d6a.. (57d6a.. (57d6a.. (57d6a.. 780a9.. 5b8fe..) (57d6a.. (57d6a.. (57d6a.. (57d6a.. 780a9.. 5b8fe..) (57d6a.. (57d6a.. 7a0ec.. 5b8fe..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x3 . 57d6a.. (57d6a.. f3baa.. x3) x3)))) (57d6a.. (57d6a.. 7a0ec.. 5b8fe..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x3 . x3)))) x2)) (57d6a.. (57d6a.. (57d6a.. (57d6a.. 780a9.. 5b8fe..) (57d6a.. (57d6a.. 7a0ec.. 5b8fe..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x3 . x3)))) (57d6a.. (57d6a.. 7a0ec.. 5b8fe..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x3 . 57d6a.. (57d6a.. f3baa.. x3) x3)))) x2)) x2))) (57d6a.. (57d6a.. (57d6a.. (57d6a.. (57d6a.. 9761f.. 5b8fe..) (57d6a.. (57d6a.. (57d6a.. (57d6a.. 780a9.. 5b8fe..) (57d6a.. (57d6a.. 7a0ec.. 5b8fe..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x2 . 57d6a.. (57d6a.. f3baa.. x2) x2)))) (57d6a.. (57d6a.. 7a0ec.. 5b8fe..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x2 . x2)))) f73d5..)) (57d6a.. (57d6a.. (57d6a.. (57d6a.. 780a9.. 5b8fe..) (57d6a.. (57d6a.. 7a0ec.. 5b8fe..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x2 . x2)))) (57d6a.. (57d6a.. 7a0ec.. 5b8fe..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x2 . 57d6a.. (57d6a.. f3baa.. x2) x2)))) f73d5..)) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x2 . x2))) (57d6a.. (57d6a.. (57d6a.. (57d6a.. (57d6a.. 9761f.. 5b8fe..) (57d6a.. (57d6a.. 7a0ec.. 5b8fe..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x2 . 57d6a.. (57d6a.. f3baa.. x2) x2)))) (57d6a.. (57d6a.. 7a0ec.. 5b8fe..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x2 . x2)))) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x2 . x2))) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x2 . bcddf.. (57d6a.. 3cd3c.. x2) (λ x3 . x3)))))) (57d6a.. (57d6a.. (57d6a.. (57d6a.. (57d6a.. 6e880.. 5b8fe..) (57d6a.. (57d6a.. (57d6a.. (57d6a.. 780a9.. 5b8fe..) (57d6a.. (57d6a.. 7a0ec.. 5b8fe..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x2 . 57d6a.. (57d6a.. f3baa.. x2) x2)))) (57d6a.. (57d6a.. 7a0ec.. 5b8fe..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x2 . x2)))) 0f581..)) (57d6a.. (57d6a.. (57d6a.. (57d6a.. 780a9.. 5b8fe..) (57d6a.. (57d6a.. 7a0ec.. 5b8fe..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x2 . x2)))) (57d6a.. (57d6a.. 7a0ec.. 5b8fe..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x2 . 57d6a.. (57d6a.. f3baa.. x2) x2)))) 0f581..)) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x2 . x2))) (57d6a.. (57d6a.. (57d6a.. (57d6a.. (57d6a.. 6e880.. 5b8fe..) (57d6a.. (57d6a.. 7a0ec.. 5b8fe..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x2 . x2)))) (57d6a.. (57d6a.. 7a0ec.. 5b8fe..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x2 . 57d6a.. (57d6a.. f3baa.. x2) x2)))) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x2 . x2))) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x2 . bcddf.. (57d6a.. 3cd3c.. x2) (λ x3 . x3)))))) x0)) x1))))
Definition e4293.. := λ x0 : ι → ι → ο . and (b9cfa.. x0) (x0 79f98.. b3869..)
Conjecture 22c44.. : ∀ x0 x1 : ι → ι → ο . b9cfa.. x0 ⟶ 68987.. x1 ⟶ d478c.. x0 x1 b3869..
Conjecture 97095.. : ∀ x0 x1 : ι → ι → ο . b9cfa.. x0 ⟶ 68987.. x1 ⟶ 6fe8d.. x0 x1 5c39b.. 82bc1.. b3869..
Definition 86d33.. := λ x0 : ι → ι → ο . and (68987.. x0) (x0 79f98.. 82bc1..)
Definition 879d0.. := prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim1 (λ x0 . x0)))))))))))))))))))))))
Param c8911.. : ι
Definition 3edb3.. := 57d6a.. 3cd3c.. (57d6a.. c8911.. (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) f73d5..) 0f581..))
Param ae581.. : ι
Definition 81d91.. := bcddf.. (57d6a.. 3cd3c.. (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) f73d5..) 0f581..)) (λ x0 . 57d6a.. (57d6a.. (57d6a.. (57d6a.. (57d6a.. (57d6a.. 5da20.. 5b8fe..) (57d6a.. (57d6a.. 7a0ec.. 5b8fe..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x1 . 57d6a.. (57d6a.. f3baa.. x1) x1)))) (57d6a.. (57d6a.. 7a0ec.. 5b8fe..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x1 . x1)))) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x1 . x1))) (57d6a.. (57d6a.. (57d6a.. (57d6a.. (57d6a.. 3cfef.. 5b8fe..) (57d6a.. (57d6a.. (57d6a.. (57d6a.. 780a9.. 5b8fe..) (57d6a.. (57d6a.. 7a0ec.. 5b8fe..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x1 . 57d6a.. (57d6a.. f3baa.. x1) x1)))) (57d6a.. (57d6a.. 7a0ec.. 5b8fe..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x1 . x1)))) 0f581..)) (57d6a.. (57d6a.. (57d6a.. (57d6a.. 780a9.. 5b8fe..) (57d6a.. (57d6a.. 7a0ec.. 5b8fe..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x1 . x1)))) (57d6a.. (57d6a.. 7a0ec.. 5b8fe..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x1 . 57d6a.. (57d6a.. f3baa.. x1) x1)))) 0f581..)) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x1 . x1))) (57d6a.. (57d6a.. (57d6a.. 79f98.. f73d5..) 0f581..) x0))) ae581..)
Definition aed70.. := λ x0 : ι → ι → ο . and (e4293.. x0) (x0 879d0.. 3edb3..)
Conjecture 008f2.. : ∀ x0 x1 : ι → ι → ο . e4293.. x0 ⟶ 86d33.. x1 ⟶ d478c.. x0 x1 3edb3..
Conjecture d732b.. : ∀ x0 x1 : ι → ι → ο . e4293.. x0 ⟶ 86d33.. x1 ⟶ 6fe8d.. x0 x1 5c39b.. 81d91.. 3edb3..
Definition ca802.. := λ x0 : ι → ι → ο . and (86d33.. x0) (x0 879d0.. 81d91..)
Definition 3ea55.. := prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim1 (λ x0 . x0))))))))))
Definition c7fbc.. := 57d6a.. 67ee8.. (57d6a.. 25ca3.. (57d6a.. (57d6a.. 62f06.. 65996..) 65996..))
Definition 9ed8f.. := bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (57d6a.. (57d6a.. (57d6a.. (57d6a.. 780a9.. 65996..) 0f581..) f73d5..))
Definition 679d8.. := λ x0 : ι → ι → ο . and (aed70.. x0) (x0 3ea55.. c7fbc..)
Conjecture 0aa61.. : ∀ x0 x1 : ι → ι → ο . aed70.. x0 ⟶ ca802.. x1 ⟶ d478c.. x0 x1 c7fbc..
Conjecture 5b876.. : ∀ x0 x1 : ι → ι → ο . aed70.. x0 ⟶ ca802.. x1 ⟶ 6fe8d.. x0 x1 5c39b.. 9ed8f.. c7fbc..
Definition 4a327.. := λ x0 : ι → ι → ο . and (ca802.. x0) (x0 3ea55.. 9ed8f..)
Definition c7956.. := prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim1 (λ x0 . x0))))))))))
Definition 9f378.. := 57d6a.. 67ee8.. (57d6a.. 25ca3.. (57d6a.. (57d6a.. 62f06.. 65996..) (57d6a.. (57d6a.. 62f06.. 65996..) 65996..)))
Definition a0e3f.. := bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (λ x0 . bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (λ x1 . 57d6a.. (57d6a.. (57d6a.. (57d6a.. 780a9.. 65996..) x1) 0f581..) x0))
Definition 53569.. := λ x0 : ι → ι → ο . and (679d8.. x0) (x0 c7956.. 9f378..)
Conjecture fbeff.. : ∀ x0 x1 : ι → ι → ο . 679d8.. x0 ⟶ 4a327.. x1 ⟶ d478c.. x0 x1 9f378..
Conjecture bf1d1.. : ∀ x0 x1 : ι → ι → ο . 679d8.. x0 ⟶ 4a327.. x1 ⟶ 6fe8d.. x0 x1 5c39b.. a0e3f.. 9f378..
Definition dc7e8.. := λ x0 : ι → ι → ο . and (4a327.. x0) (x0 c7956.. a0e3f..)
Definition e39f2.. := prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim1 (λ x0 . x0)))))))))))))))))
Definition 26a87.. := 57d6a.. 3cd3c.. (57d6a.. (57d6a.. 7a0ec.. 65996..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (λ x0 . 57d6a.. (57d6a.. 7a0ec.. 65996..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (λ x1 . 57d6a.. (57d6a.. f3baa.. (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) (57d6a.. (57d6a.. c7956.. x0) x1)) f73d5..)) (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) x0) f73d5..))))))
Param 2a8bd.. : ι
Param c85c4.. : ι
Param a809c.. : ι
Definition 33a91.. := bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (57d6a.. (57d6a.. (57d6a.. (57d6a.. 74351.. (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (λ x0 . 57d6a.. (57d6a.. 7a0ec.. 65996..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (λ x1 . 57d6a.. (57d6a.. f3baa.. (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) (57d6a.. (57d6a.. c7956.. x0) x1)) f73d5..)) (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) x0) f73d5..)))))) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (λ x0 . 57d6a.. (57d6a.. (57d6a.. (57d6a.. (57d6a.. 9761f.. 65996..) x0) 0f581..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (λ x1 . 57d6a.. (57d6a.. f3baa.. (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) x1) f73d5..)) (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) f73d5..) f73d5..)))) (bcddf.. (57d6a.. 3cd3c.. (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) x0) f73d5..)) (λ x1 . 57d6a.. (57d6a.. (57d6a.. (57d6a.. (57d6a.. (57d6a.. 2a8bd.. 65996..) x0) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (λ x2 . 57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) x2) f73d5..))) (57d6a.. (57d6a.. (57d6a.. (57d6a.. (57d6a.. (57d6a.. 2a8bd.. 65996..) x0) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) x0)))) (57d6a.. (57d6a.. c85c4.. 65996..) x0)) f73d5..) x1)) f73d5..) x1))))) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (λ x0 . 57d6a.. (57d6a.. (57d6a.. (57d6a.. (57d6a.. 6e880.. 65996..) x0) 0f581..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (λ x1 . 57d6a.. (57d6a.. f3baa.. (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) x1) f73d5..)) (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) 0f581..) f73d5..)))) (bcddf.. (57d6a.. 3cd3c.. (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) 0f581..) f73d5..)) (57d6a.. (57d6a.. (57d6a.. (57d6a.. (57d6a.. (57d6a.. a809c.. 65996..) f73d5..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (λ x1 . 57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) x1) f73d5..))) (57d6a.. (57d6a.. c85c4.. 65996..) f73d5..)) 0f581..)))))))
Definition 117bd.. := λ x0 : ι → ι → ο . and (53569.. x0) (x0 e39f2.. 26a87..)
Conjecture 105b7.. : ∀ x0 x1 : ι → ι → ο . 53569.. x0 ⟶ dc7e8.. x1 ⟶ d478c.. x0 x1 26a87..
Conjecture 133a7.. : ∀ x0 x1 : ι → ι → ο . 53569.. x0 ⟶ dc7e8.. x1 ⟶ 6fe8d.. x0 x1 5c39b.. 33a91.. 26a87..
Definition 55863.. := λ x0 : ι → ι → ο . and (dc7e8.. x0) (x0 e39f2.. 33a91..)
Definition 1031e.. := prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim1 (λ x0 . x0)))))))))))))))))
Definition 6dc4c.. := 57d6a.. 3cd3c.. (57d6a.. (57d6a.. 7a0ec.. 65996..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (λ x0 . 57d6a.. (57d6a.. 7a0ec.. 65996..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (λ x1 . 57d6a.. (57d6a.. f3baa.. (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) (57d6a.. (57d6a.. c7956.. x0) x1)) f73d5..)) (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) x1) f73d5..))))))
Definition d31e4.. := bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (λ x0 . bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (λ x1 . 57d6a.. (57d6a.. (57d6a.. (57d6a.. 74351.. (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (λ x2 . 57d6a.. (57d6a.. f3baa.. (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) (57d6a.. (57d6a.. c7956.. x2) x1)) f73d5..)) (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) x1) f73d5..)))) (57d6a.. (57d6a.. (57d6a.. (57d6a.. (57d6a.. 9761f.. 65996..) x1) 0f581..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (λ x2 . 57d6a.. (57d6a.. f3baa.. (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) x2) f73d5..)) (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) x1) f73d5..)))) (bcddf.. (57d6a.. 3cd3c.. (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) x1) f73d5..)) (57d6a.. (57d6a.. (57d6a.. (57d6a.. (57d6a.. (57d6a.. 2a8bd.. 65996..) x1) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) x1)))) (57d6a.. (57d6a.. c85c4.. 65996..) x1)) f73d5..))))) (57d6a.. (57d6a.. (57d6a.. (57d6a.. (57d6a.. 6e880.. 65996..) x1) 0f581..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (λ x2 . 57d6a.. (57d6a.. f3baa.. (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) x2) f73d5..)) (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) x1) f73d5..)))) (57d6a.. (57d6a.. (57d6a.. (57d6a.. 74351.. (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (λ x2 . 57d6a.. (57d6a.. f3baa.. (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) 0f581..) f73d5..)) (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) x2) f73d5..)))) (bcddf.. (57d6a.. 3cd3c.. (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) 0f581..) f73d5..)) (λ x2 . 57d6a.. (57d6a.. c85c4.. 65996..) f73d5..))) (bcddf.. (57d6a.. 3cd3c.. (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) 0f581..) f73d5..)) (57d6a.. (57d6a.. (57d6a.. (57d6a.. (57d6a.. (57d6a.. a809c.. 65996..) f73d5..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (λ x2 . 57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) x2) f73d5..))) (57d6a.. (57d6a.. c85c4.. 65996..) f73d5..)) 0f581..)))) x1))) x0))
Definition fdff9.. := λ x0 : ι → ι → ο . and (117bd.. x0) (x0 1031e.. 6dc4c..)
Conjecture 88142.. : ∀ x0 x1 : ι → ι → ο . 117bd.. x0 ⟶ 55863.. x1 ⟶ d478c.. x0 x1 6dc4c..
Conjecture 26049.. : ∀ x0 x1 : ι → ι → ο . 117bd.. x0 ⟶ 55863.. x1 ⟶ 6fe8d.. x0 x1 5c39b.. d31e4.. 6dc4c..
Definition 0a564.. := λ x0 : ι → ι → ο . and (55863.. x0) (x0 1031e.. d31e4..)
Definition 2192a.. := prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x1 x0)) (prim0 (prim0 x0 x0) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x0 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x1) (prim0 x1 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x0 x0) (prim0 x1 x1))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x0)) (prim0 (prim0 x1 x1) (prim0 x0 x0))))) (prim0 (prim1 (λ x0 . prim1 (λ x1 . prim0 (prim0 (prim0 x1 x0) (prim0 x0 x1)) (prim0 (prim0 x1 x0) (prim0 x1 x0))))) (prim1 (λ x0 . x0)))))))))))))))))))
Param 62b32.. : ι
Definition 3cfc6.. := 57d6a.. 3cd3c.. (57d6a.. (57d6a.. 7a0ec.. 65996..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (λ x0 . 57d6a.. (57d6a.. 62b32.. (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) x0) f73d5..)) (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) x0) 0f581..))))
Param b5f6e.. : ι
Definition 3404c.. := bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (57d6a.. (57d6a.. (57d6a.. (57d6a.. 74351.. (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (λ x0 . 57d6a.. (57d6a.. 62b32.. (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) x0) f73d5..)) (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) x0) 0f581..)))) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 5b8fe..)) (λ x0 . bcddf.. (57d6a.. 3cd3c.. (57d6a.. (57d6a.. f3baa.. (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) f73d5..) f73d5..)) x0)) (λ x1 . bcddf.. (57d6a.. 3cd3c.. (57d6a.. (57d6a.. f3baa.. (57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) f73d5..) 0f581..)) x0)) (λ x2 . 57d6a.. x1 (57d6a.. (57d6a.. c85c4.. 65996..) f73d5..)))))) (57d6a.. (57d6a.. (57d6a.. b5f6e.. 65996..) (bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (λ x0 . bcddf.. (57d6a.. 67ee8.. (57d6a.. 25ca3.. 65996..)) (λ x1 . 57d6a.. (57d6a.. (57d6a.. 0eacd.. 65996..) 0f581..) f73d5..)))) 0f581..)))
Definition 605a7.. := λ x0 : ι → ι → ο . and (fdff9.. x0) (x0 2192a.. 3cfc6..)
Conjecture 3c340.. : ∀ x0 x1 : ι → ι → ο . fdff9.. x0 ⟶ 0a564.. x1 ⟶ d478c.. x0 x1 3cfc6..
Conjecture 2662c.. : ∀ x0 x1 : ι → ι → ο . fdff9.. x0 ⟶ 0a564.. x1 ⟶ 6fe8d.. x0 x1 5c39b.. 3404c.. 3cfc6..
Definition 34df7.. := λ x0 : ι → ι → ο . and (0a564.. x0) (x0 2192a.. 3404c..)
Definition 605a7.. := 605a7..
Definition 34df7.. := 34df7..