Proofgold Asset

Param int^int : ι
Param add_SNo^add_SNo : ι → ι → ι
Param ordsucc^ordsucc : ι → ι
Param If_i^If_i : ο → ι → ι → ι
Param SNoLe^SNoLe : ι → ι → ο
Param minus_SNo^minus_SNo : ι → ι
Param mul_SNo^mul_SNo : ι → ι → ι
Conjecture cc0f4..^A289255 : ∀ x0 : ι → ι → ι . (∀ x1 . x1 ∈ int ⟶ ∀ x2 . x2 ∈ int ⟶ x0 x1 x2 ∈ int) ⟶ ∀ x1 : ι → ι . (∀ x2 . x2 ∈ int ⟶ x1 x2 ∈ int) ⟶ ∀ x2 . x2 ∈ int ⟶ ∀ x3 : ι → ι → ι . (∀ x4 . x4 ∈ int ⟶ ∀ x5 . x5 ∈ int ⟶ x3 x4 x5 ∈ int) ⟶ ∀ x4 : ι → ι . (∀ x5 . x5 ∈ int ⟶ x4 x5 ∈ int) ⟶ ∀ x5 : ι → ι . (∀ x6 . x6 ∈ int ⟶ x5 x6 ∈ int) ⟶ ∀ x6 : ι → ι . (∀ x7 . x7 ∈ int ⟶ x6 x7 ∈ int) ⟶ ∀ x7 . x7 ∈ int ⟶ ∀ x8 : ι → ι . (∀ x9 . x9 ∈ int ⟶ x8 x9 ∈ int) ⟶ ∀ x9 : ι → ι . (∀ x10 . x10 ∈ int ⟶ x9 x10 ∈ int) ⟶ ∀ x10 . x10 ∈ int ⟶ ∀ x11 : ι → ι → ι . (∀ x12 . x12 ∈ int ⟶ ∀ x13 . x13 ∈ int ⟶ x11 x12 x13 ∈ int) ⟶ ∀ x12 : ι → ι . (∀ x13 . x13 ∈ int ⟶ x12 x13 ∈ int) ⟶ ∀ x13 : ι → ι . (∀ x14 . x14 ∈ int ⟶ x13 x14 ∈ int) ⟶ ∀ x14 : ι → ι → ι . (∀ x15 . x15 ∈ int ⟶ ∀ x16 . x16 ∈ int ⟶ x14 x15 x16 ∈ int) ⟶ ∀ x15 : ι → ι . (∀ x16 . x16 ∈ int ⟶ x15 x16 ∈ int) ⟶ ∀ x16 : ι → ι . (∀ x17 . x17 ∈ int ⟶ x16 x17 ∈ int) ⟶ (∀ x17 . x17 ∈ int ⟶ ∀ x18 . x18 ∈ int ⟶ x0 x17 x18 = add_SNo (add_SNo x17 x17) x18) ⟶ (∀ x17 . x17 ∈ int ⟶ x1 x17 = add_SNo x17 x17) ⟶ x2 = 2 ⟶ (∀ x17 . x17 ∈ int ⟶ ∀ x18 . x18 ∈ int ⟶ x3 x17 x18 = If_i (SNoLe x17 0) x18 (x0 (x3 (add_SNo x17 (minus_SNo 1)) x18) x17)) ⟶ (∀ x17 . x17 ∈ int ⟶ x4 x17 = x3 (x1 x17) x2) ⟶ (∀ x17 . x17 ∈ int ⟶ x5 x17 = add_SNo (x4 x17) (minus_SNo 1)) ⟶ (∀ x17 . x17 ∈ int ⟶ x6 x17 = mul_SNo x17 x17) ⟶ x7 = 1 ⟶ (∀ x17 . x17 ∈ int ⟶ x8 x17 = add_SNo x17 x17) ⟶ (∀ x17 . x17 ∈ int ⟶ x9 x17 = x17) ⟶ x10 = 2 ⟶ (∀ x17 . x17 ∈ int ⟶ ∀ x18 . x18 ∈ int ⟶ x11 x17 x18 = If_i (SNoLe x17 0) x18 (x8 (x11 (add_SNo x17 (minus_SNo 1)) x18))) ⟶ (∀ x17 . x17 ∈ int ⟶ x12 x17 = x11 (x9 x17) x10) ⟶ (∀ x17 . x17 ∈ int ⟶ x13 x17 = x12 x17) ⟶ (∀ x17 . x17 ∈ int ⟶ ∀ x18 . x18 ∈ int ⟶ x14 x17 x18 = If_i (SNoLe x17 0) x18 (x6 (x14 (add_SNo x17 (minus_SNo 1)) x18))) ⟶ (∀ x17 . x17 ∈ int ⟶ x15 x17 = x14 x7 (x13 x17)) ⟶ (∀ x17 . x17 ∈ int ⟶ x16 x17 = add_SNo 1 (add_SNo (x15 x17) (minus_SNo (mul_SNo 2 (add_SNo 2 x17))))) ⟶ ∀ x17 . x17 ∈ int ⟶ SNoLe 0 x17 ⟶ x5 x17 = x16 x17
Conjecture c259c..^A288516 : ∀ x0 : ι → ι → ι . (∀ x1 . x1 ∈ int ⟶ ∀ x2 . x2 ∈ int ⟶ x0 x1 x2 ∈ int) ⟶ ∀ x1 : ι → ι → ι . (∀ x2 . x2 ∈ int ⟶ ∀ x3 . x3 ∈ int ⟶ x1 x2 x3 ∈ int) ⟶ ∀ x2 : ι → ι . (∀ x3 . x3 ∈ int ⟶ x2 x3 ∈ int) ⟶ ∀ x3 : ι → ι → ι . (∀ x4 . x4 ∈ int ⟶ ∀ x5 . x5 ∈ int ⟶ x3 x4 x5 ∈ int) ⟶ ∀ x4 : ι → ι → ι . (∀ x5 . x5 ∈ int ⟶ ∀ x6 . x6 ∈ int ⟶ x4 x5 x6 ∈ int) ⟶ ∀ x5 : ι → ι → ι . (∀ x6 . x6 ∈ int ⟶ ∀ x7 . x7 ∈ int ⟶ x5 x6 x7 ∈ int) ⟶ ∀ x6 : ι → ι → ι . (∀ x7 . x7 ∈ int ⟶ ∀ x8 . x8 ∈ int ⟶ x6 x7 x8 ∈ int) ⟶ ∀ x7 : ι → ι . (∀ x8 . x8 ∈ int ⟶ x7 x8 ∈ int) ⟶ ∀ x8 : ι → ι → ι . (∀ x9 . x9 ∈ int ⟶ ∀ x10 . x10 ∈ int ⟶ x8 x9 x10 ∈ int) ⟶ ∀ x9 : ι → ι → ι . (∀ x10 . x10 ∈ int ⟶ ∀ x11 . x11 ∈ int ⟶ x9 x10 x11 ∈ int) ⟶ ∀ x10 : ι → ι → ι . (∀ x11 . x11 ∈ int ⟶ ∀ x12 . x12 ∈ int ⟶ x10 x11 x12 ∈ int) ⟶ ∀ x11 : ι → ι . (∀ x12 . x12 ∈ int ⟶ x11 x12 ∈ int) ⟶ ∀ x12 . x12 ∈ int ⟶ ∀ x13 : ι → ι → ι . (∀ x14 . x14 ∈ int ⟶ ∀ x15 . x15 ∈ int ⟶ x13 x14 x15 ∈ int) ⟶ ∀ x14 : ι → ι . (∀ x15 . x15 ∈ int ⟶ x14 x15 ∈ int) ⟶ ∀ x15 : ι → ι . (∀ x16 . x16 ∈ int ⟶ x15 x16 ∈ int) ⟶ ∀ x16 : ι → ι → ι . (∀ x17 . x17 ∈ int ⟶ ∀ x18 . x18 ∈ int ⟶ x16 x17 x18 ∈ int) ⟶ ∀ x17 : ι → ι → ι . (∀ x18 . x18 ∈ int ⟶ ∀ x19 . x19 ∈ int ⟶ x17 x18 x19 ∈ int) ⟶ ∀ x18 : ι → ι . (∀ x19 . x19 ∈ int ⟶ x18 x19 ∈ int) ⟶ ∀ x19 : ι → ι → ι . (∀ x20 . x20 ∈ int ⟶ ∀ x21 . x21 ∈ int ⟶ x19 x20 x21 ∈ int) ⟶ ∀ x20 : ι → ι → ι . (∀ x21 . x21 ∈ int ⟶ ∀ x22 . x22 ∈ int ⟶ x20 x21 x22 ∈ int) ⟶ ∀ x21 : ι → ι → ι . (∀ x22 . x22 ∈ int ⟶ ∀ x23 . x23 ∈ int ⟶ x21 x22 x23 ∈ int) ⟶ ∀ x22 : ι → ι . (∀ x23 . x23 ∈ int ⟶ x22 x23 ∈ int) ⟶ ∀ x23 . x23 ∈ int ⟶ ∀ x24 : ι → ι → ι . (∀ x25 . x25 ∈ int ⟶ ∀ x26 . x26 ∈ int ⟶ x24 x25 x26 ∈ int) ⟶ ∀ x25 : ι → ι . (∀ x26 . x26 ∈ int ⟶ x25 x26 ∈ int) ⟶ ∀ x26 : ι → ι . (∀ x27 . x27 ∈ int ⟶ x26 x27 ∈ int) ⟶ (∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ x0 x27 x28 = add_SNo x27 x28) ⟶ (∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ x1 x27 x28 = x28) ⟶ (∀ x27 . x27 ∈ int ⟶ x2 x27 = x27) ⟶ (∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ x3 x27 x28 = If_i (SNoLe x27 0) x28 (x0 (x3 (add_SNo x27 (minus_SNo 1)) x28) x27)) ⟶ (∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ x4 x27 x28 = x3 (x1 x27 x28) (x2 x27)) ⟶ (∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ x5 x27 x28 = x4 x27 x28) ⟶ (∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ x6 x27 x28 = add_SNo 1 x28) ⟶ (∀ x27 . x27 ∈ int ⟶ x7 x27 = x27) ⟶ (∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ x8 x27 x28 = If_i (SNoLe x27 0) x28 (x5 (x8 (add_SNo x27 (minus_SNo 1)) x28) x27)) ⟶ (∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ x9 x27 x28 = x8 (x6 x27 x28) (x7 x27)) ⟶ (∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ x10 x27 x28 = add_SNo (add_SNo (x9 x27 x28) x27) x28) ⟶ (∀ x27 . x27 ∈ int ⟶ x11 x27 = x27) ⟶ x12 = 1 ⟶ (∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ x13 x27 x28 = If_i (SNoLe x27 0) x28 (x10 (x13 (add_SNo x27 (minus_SNo 1)) x28) x27)) ⟶ (∀ x27 . x27 ∈ int ⟶ x14 x27 = x13 (x11 x27) x12) ⟶ (∀ x27 . x27 ∈ int ⟶ x15 x27 = add_SNo (add_SNo (mul_SNo (x14 x27) 2) (minus_SNo 1)) (minus_SNo x27)) ⟶ (∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ x16 x27 x28 = add_SNo (add_SNo (mul_SNo x28 x28) x27) x28) ⟶ (∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ x17 x27 x28 = add_SNo 1 x28) ⟶ (∀ x27 . x27 ∈ int ⟶ x18 x27 = add_SNo 1 x27) ⟶ (∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ x19 x27 x28 = If_i (SNoLe x27 0) x28 (x16 (x19 (add_SNo x27 (minus_SNo 1)) x28) x27)) ⟶ (∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ x20 x27 x28 = x19 (x17 x27 x28) (x18 x27)) ⟶ (∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ x21 x27 x28 = add_SNo (add_SNo (add_SNo (x20 x27 x28) x27) x28) x28) ⟶ (∀ x27 . x27 ∈ int ⟶ x22 x27 = x27) ⟶ x23 = 1 ⟶ (∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ x24 x27 x28 = If_i (SNoLe x27 0) x28 (x21 (x24 (add_SNo x27 (minus_SNo 1)) x28) x27)) ⟶ (∀ x27 . x27 ∈ int ⟶ x25 x27 = x24 (x22 x27) x23) ⟶ (∀ x27 . x27 ∈ int ⟶ x26 x27 = add_SNo (x25 x27) (minus_SNo x27)) ⟶ ∀ x27 . x27 ∈ int ⟶ SNoLe 0 x27 ⟶ x15 x27 = x26 x27
Conjecture f3c9b..^A287335 : ∀ x0 : ι → ι → ι . (∀ x1 . x1 ∈ int ⟶ ∀ x2 . x2 ∈ int ⟶ x0 x1 x2 ∈ int) ⟶ ∀ x1 : ι → ι . (∀ x2 . x2 ∈ int ⟶ x1 x2 ∈ int) ⟶ ∀ x2 : ι → ι . (∀ x3 . x3 ∈ int ⟶ x2 x3 ∈ int) ⟶ ∀ x3 : ι → ι → ι . (∀ x4 . x4 ∈ int ⟶ ∀ x5 . x5 ∈ int ⟶ x3 x4 x5 ∈ int) ⟶ ∀ x4 : ι → ι . (∀ x5 . x5 ∈ int ⟶ x4 x5 ∈ int) ⟶ ∀ x5 : ι → ι . (∀ x6 . x6 ∈ int ⟶ x5 x6 ∈ int) ⟶ ∀ x6 : ι → ι . (∀ x7 . x7 ∈ int ⟶ x6 x7 ∈ int) ⟶ ∀ x7 . x7 ∈ int ⟶ ∀ x8 : ι → ι . (∀ x9 . x9 ∈ int ⟶ x8 x9 ∈ int) ⟶ ∀ x9 : ι → ι → ι . (∀ x10 . x10 ∈ int ⟶ ∀ x11 . x11 ∈ int ⟶ x9 x10 x11 ∈ int) ⟶ ∀ x10 : ι → ι . (∀ x11 . x11 ∈ int ⟶ x10 x11 ∈ int) ⟶ ∀ x11 : ι → ι . (∀ x12 . x12 ∈ int ⟶ x11 x12 ∈ int) ⟶ (∀ x12 . x12 ∈ int ⟶ ∀ x13 . x13 ∈ int ⟶ x0 x12 x13 = add_SNo (add_SNo (mul_SNo x13 x13) x12) x13) ⟶ (∀ x12 . x12 ∈ int ⟶ x1 x12 = add_SNo 1 (add_SNo (add_SNo x12 x12) x12)) ⟶ (∀ x12 . x12 ∈ int ⟶ x2 x12 = x12) ⟶ (∀ x12 . x12 ∈ int ⟶ ∀ x13 . x13 ∈ int ⟶ x3 x12 x13 = If_i (SNoLe x12 0) x13 (x0 (x3 (add_SNo x12 (minus_SNo 1)) x13) x12)) ⟶ (∀ x12 . x12 ∈ int ⟶ x4 x12 = x3 (x1 x12) (x2 x12)) ⟶ (∀ x12 . x12 ∈ int ⟶ x5 x12 = x4 x12) ⟶ (∀ x12 . x12 ∈ int ⟶ x6 x12 = mul_SNo x12 x12) ⟶ x7 = 1 ⟶ (∀ x12 . x12 ∈ int ⟶ x8 x12 = mul_SNo (add_SNo 1 2) (add_SNo 1 x12)) ⟶ (∀ x12 . x12 ∈ int ⟶ ∀ x13 . x13 ∈ int ⟶ x9 x12 x13 = If_i (SNoLe x12 0) x13 (x6 (x9 (add_SNo x12 (minus_SNo 1)) x13))) ⟶ (∀ x12 . x12 ∈ int ⟶ x10 x12 = x9 x7 (x8 x12)) ⟶ (∀ x12 . x12 ∈ int ⟶ x11 x12 = add_SNo 2 (add_SNo (mul_SNo (add_SNo 2 (x10 x12)) x12) x12)) ⟶ ∀ x12 . x12 ∈ int ⟶ SNoLe 0 x12 ⟶ x5 x12 = x11 x12
Conjecture 21833..^A2866 : ∀ x0 : ι → ι → ι . (∀ x1 . x1 ∈ int ⟶ ∀ x2 . x2 ∈ int ⟶ x0 x1 x2 ∈ int) ⟶ ∀ x1 : ι → ι → ι . (∀ x2 . x2 ∈ int ⟶ ∀ x3 . x3 ∈ int ⟶ x1 x2 x3 ∈ int) ⟶ ∀ x2 : ι → ι . (∀ x3 . x3 ∈ int ⟶ x2 x3 ∈ int) ⟶ ∀ x3 : ι → ι → ι . (∀ x4 . x4 ∈ int ⟶ ∀ x5 . x5 ∈ int ⟶ x3 x4 x5 ∈ int) ⟶ ∀ x4 : ι → ι → ι . (∀ x5 . x5 ∈ int ⟶ ∀ x6 . x6 ∈ int ⟶ x4 x5 x6 ∈ int) ⟶ ∀ x5 : ι → ι → ι . (∀ x6 . x6 ∈ int ⟶ ∀ x7 . x7 ∈ int ⟶ x5 x6 x7 ∈ int) ⟶ ∀ x6 . x6 ∈ int ⟶ ∀ x7 : ι → ι . (∀ x8 . x8 ∈ int ⟶ x7 x8 ∈ int) ⟶ ∀ x8 . x8 ∈ int ⟶ ∀ x9 : ι → ι . (∀ x10 . x10 ∈ int ⟶ x9 x10 ∈ int) ⟶ ∀ x10 : ι → ι → ι → ι . (∀ x11 . x11 ∈ int ⟶ ∀ x12 . x12 ∈ int ⟶ ∀ x13 . x13 ∈ int ⟶ x10 x11 x12 x13 ∈ int) ⟶ ∀ x11 : ι → ι → ι → ι . (∀ x12 . x12 ∈ int ⟶ ∀ x13 . x13 ∈ int ⟶ ∀ x14 . x14 ∈ int ⟶ x11 x12 x13 x14 ∈ int) ⟶ ∀ x12 : ι → ι . (∀ x13 . x13 ∈ int ⟶ x12 x13 ∈ int) ⟶ ∀ x13 : ι → ι . (∀ x14 . x14 ∈ int ⟶ x13 x14 ∈ int) ⟶ ∀ x14 : ι → ι . (∀ x15 . x15 ∈ int ⟶ x14 x15 ∈ int) ⟶ ∀ x15 : ι → ι . (∀ x16 . x16 ∈ int ⟶ x15 x16 ∈ int) ⟶ ∀ x16 . x16 ∈ int ⟶ ∀ x17 : ι → ι → ι . (∀ x18 . x18 ∈ int ⟶ ∀ x19 . x19 ∈ int ⟶ x17 x18 x19 ∈ int) ⟶ ∀ x18 : ι → ι . (∀ x19 . x19 ∈ int ⟶ x18 x19 ∈ int) ⟶ ∀ x19 : ι → ι → ι . (∀ x20 . x20 ∈ int ⟶ ∀ x21 . x21 ∈ int ⟶ x19 x20 x21 ∈ int) ⟶ ∀ x20 : ι → ι . (∀ x21 . x21 ∈ int ⟶ x20 x21 ∈ int) ⟶ ∀ x21 . x21 ∈ int ⟶ ∀ x22 : ι → ι → ι . (∀ x23 . x23 ∈ int ⟶ ∀ x24 . x24 ∈ int ⟶ x22 x23 x24 ∈ int) ⟶ ∀ x23 : ι → ι . (∀ x24 . x24 ∈ int ⟶ x23 x24 ∈ int) ⟶ ∀ x24 : ι → ι . (∀ x25 . x25 ∈ int ⟶ x24 x25 ∈ int) ⟶ (∀ x25 . x25 ∈ int ⟶ ∀ x26 . x26 ∈ int ⟶ x0 x25 x26 = mul_SNo x25 x26) ⟶ (∀ x25 . x25 ∈ int ⟶ ∀ x26 . x26 ∈ int ⟶ x1 x25 x26 = x26) ⟶ (∀ x25 . x25 ∈ int ⟶ x2 x25 = x25) ⟶ (∀ x25 . x25 ∈ int ⟶ ∀ x26 . x26 ∈ int ⟶ x3 x25 x26 = If_i (SNoLe x25 0) x26 (x0 (x3 (add_SNo x25 (minus_SNo 1)) x26) x25)) ⟶ (∀ x25 . x25 ∈ int ⟶ ∀ x26 . x26 ∈ int ⟶ x4 x25 x26 = x3 (x1 x25 x26) (x2 x25)) ⟶ (∀ x25 . x25 ∈ int ⟶ ∀ x26 . x26 ∈ int ⟶ x5 x25 x26 = x4 x25 x26) ⟶ x6 = 2 ⟶ (∀ x25 . x25 ∈ int ⟶ x7 x25 = x25) ⟶ x8 = 1 ⟶ (∀ x25 . x25 ∈ int ⟶ x9 x25 = x25) ⟶ (∀ x25 . x25 ∈ int ⟶ ∀ x26 . x26 ∈ int ⟶ ∀ x27 . x27 ∈ int ⟶ x10 x25 x26 x27 = If_i (SNoLe x25 0) x26 (x5 (x10 (add_SNo x25 (minus_SNo 1)) x26 x27) (x11 (add_SNo x25 (minus_SNo 1)) x26 x27))) ⟶ (∀ x25 . x25 ∈ int ⟶ ∀ x26 . x26 ∈ int ⟶ ∀ x27 . x27 ∈ int ⟶ x11 x25 x26 x27 = If_i (SNoLe x25 0) x27 x6) ⟶ (∀ x25 . x25 ∈ int ⟶ x12 x25 = x10 (x7 x25) x8 (x9 x25)) ⟶ (∀ x25 . x25 ∈ int ⟶ x13 x25 = x12 x25) ⟶ (∀ x25 . x25 ∈ int ⟶ x14 x25 = add_SNo x25 x25) ⟶ (∀ x25 . x25 ∈ int ⟶ x15 x25 = add_SNo x25 (minus_SNo 1)) ⟶ x16 = 1 ⟶ (∀ x25 . x25 ∈ int ⟶ ∀ x26 . x26 ∈ int ⟶ x17 x25 x26 = If_i (SNoLe x25 0) x26 (x14 (x17 (add_SNo x25 (minus_SNo 1)) x26))) ⟶ (∀ x25 . x25 ∈ int ⟶ x18 x25 = x17 (x15 x25) x16) ⟶ (∀ x25 . x25 ∈ int ⟶ ∀ x26 . x26 ∈ int ⟶ x19 x25 x26 = mul_SNo x25 x26) ⟶ (∀ x25 . x25 ∈ int ⟶ x20 x25 = x25) ⟶ x21 = 1 ⟶ (∀ x25 . x25 ∈ int ⟶ ∀ x26 . x26 ∈ int ⟶ x22 x25 x26 = If_i (SNoLe x25 0) x26 (x19 (x22 (add_SNo x25 (minus_SNo 1)) x26) x25)) ⟶ (∀ x25 . x25 ∈ int ⟶ x23 x25 = x22 (x20 x25) x21) ⟶ (∀ x25 . x25 ∈ int ⟶ x24 x25 = mul_SNo (x18 x25) (x23 x25)) ⟶ ∀ x25 . x25 ∈ int ⟶ SNoLe 0 x25 ⟶ x13 x25 = x24 x25
Conjecture de8b3..^A286286 : ∀ x0 : ι → ι → ι . (∀ x1 . x1 ∈ int ⟶ ∀ x2 . x2 ∈ int ⟶ x0 x1 x2 ∈ int) ⟶ ∀ x1 : ι → ι . (∀ x2 . x2 ∈ int ⟶ x1 x2 ∈ int) ⟶ ∀ x2 . x2 ∈ int ⟶ ∀ x3 : ι → ι → ι . (∀ x4 . x4 ∈ int ⟶ ∀ x5 . x5 ∈ int ⟶ x3 x4 x5 ∈ int) ⟶ ∀ x4 : ι → ι . (∀ x5 . x5 ∈ int ⟶ x4 x5 ∈ int) ⟶ ∀ x5 : ι → ι . (∀ x6 . x6 ∈ int ⟶ x5 x6 ∈ int) ⟶ ∀ x6 : ι → ι → ι . (∀ x7 . x7 ∈ int ⟶ ∀ x8 . x8 ∈ int ⟶ x6 x7 x8 ∈ int) ⟶ ∀ x7 : ι → ι → ι . (∀ x8 . x8 ∈ int ⟶ ∀ x9 . x9 ∈ int ⟶ x7 x8 x9 ∈ int) ⟶ ∀ x8 : ι → ι . (∀ x9 . x9 ∈ int ⟶ x8 x9 ∈ int) ⟶ ∀ x9 : ι → ι . (∀ x10 . x10 ∈ int ⟶ x9 x10 ∈ int) ⟶ ∀ x10 . x10 ∈ int ⟶ ∀ x11 : ι → ι → ι → ι . (∀ x12 . x12 ∈ int ⟶ ∀ x13 . x13 ∈ int ⟶ ∀ x14 . x14 ∈ int ⟶ x11 x12 x13 x14 ∈ int) ⟶ ∀ x12 : ι → ι → ι → ι . (∀ x13 . x13 ∈ int ⟶ ∀ x14 . x14 ∈ int ⟶ ∀ x15 . x15 ∈ int ⟶ x12 x13 x14 x15 ∈ int) ⟶ ∀ x13 : ι → ι . (∀ x14 . x14 ∈ int ⟶ x13 x14 ∈ int) ⟶ ∀ x14 : ι → ι . (∀ x15 . x15 ∈ int ⟶ x14 x15 ∈ int) ⟶ (∀ x15 . x15 ∈ int ⟶ ∀ x16 . x16 ∈ int ⟶ x0 x15 x16 = add_SNo 1 (add_SNo (mul_SNo 2 (mul_SNo x15 x16)) (minus_SNo x15))) ⟶ (∀ x15 . x15 ∈ int ⟶ x1 x15 = x15) ⟶ x2 = 0 ⟶ (∀ x15 . x15 ∈ int ⟶ ∀ x16 . x16 ∈ int ⟶ x3 x15 x16 = If_i (SNoLe x15 0) x16 (x0 (x3 (add_SNo x15 (minus_SNo 1)) x16) x15)) ⟶ (∀ x15 . x15 ∈ int ⟶ x4 x15 = x3 (x1 x15) x2) ⟶ (∀ x15 . x15 ∈ int ⟶ x5 x15 = x4 x15) ⟶ (∀ x15 . x15 ∈ int ⟶ ∀ x16 . x16 ∈ int ⟶ x6 x15 x16 = add_SNo 1 (mul_SNo x15 x16)) ⟶ (∀ x15 . x15 ∈ int ⟶ ∀ x16 . x16 ∈ int ⟶ x7 x15 x16 = add_SNo 2 x16) ⟶ (∀ x15 . x15 ∈ int ⟶ x8 x15 = add_SNo x15 (minus_SNo 1)) ⟶ (∀ x15 . x15 ∈ int ⟶ x9 x15 = If_i (SNoLe x15 0) 0 1) ⟶ x10 = add_SNo 1 2 ⟶ (∀ x15 . x15 ∈ int ⟶ ∀ x16 . x16 ∈ int ⟶ ∀ x17 . x17 ∈ int ⟶ x11 x15 x16 x17 = If_i (SNoLe x15 0) x16 (x6 (x11 (add_SNo x15 (minus_SNo 1)) x16 x17) (x12 (add_SNo x15 (minus_SNo 1)) x16 x17))) ⟶ (∀ x15 . x15 ∈ int ⟶ ∀ x16 . x16 ∈ int ⟶ ∀ x17 . x17 ∈ int ⟶ x12 x15 x16 x17 = If_i (SNoLe x15 0) x17 (x7 (x11 (add_SNo x15 (minus_SNo 1)) x16 x17) (x12 (add_SNo x15 (minus_SNo 1)) x16 x17))) ⟶ (∀ x15 . x15 ∈ int ⟶ x13 x15 = x11 (x8 x15) (x9 x15) x10) ⟶ (∀ x15 . x15 ∈ int ⟶ x14 x15 = x13 x15) ⟶ ∀ x15 . x15 ∈ int ⟶ SNoLe 0 x15 ⟶ x5 x15 = x14 x15
Conjecture 1d3e2..^A284434 : ∀ x0 : ι → ι → ι . (∀ x1 . x1 ∈ int ⟶ ∀ x2 . x2 ∈ int ⟶ x0 x1 x2 ∈ int) ⟶ ∀ x1 : ι → ι → ι . (∀ x2 . x2 ∈ int ⟶ ∀ x3 . x3 ∈ int ⟶ x1 x2 x3 ∈ int) ⟶ ∀ x2 : ι → ι . (∀ x3 . x3 ∈ int ⟶ x2 x3 ∈ int) ⟶ ∀ x3 . x3 ∈ int ⟶ ∀ x4 : ι → ι → ι . (∀ x5 . x5 ∈ int ⟶ ∀ x6 . x6 ∈ int ⟶ x4 x5 x6 ∈ int) ⟶ ∀ x5 : ι → ι . (∀ x6 . x6 ∈ int ⟶ x5 x6 ∈ int) ⟶ ∀ x6 : ι → ι . (∀ x7 . x7 ∈ int ⟶ x6 x7 ∈ int) ⟶ ∀ x7 . x7 ∈ int ⟶ ∀ x8 : ι → ι → ι . (∀ x9 . x9 ∈ int ⟶ ∀ x10 . x10 ∈ int ⟶ x8 x9 x10 ∈ int) ⟶ ∀ x9 : ι → ι . (∀ x10 . x10 ∈ int ⟶ x9 x10 ∈ int) ⟶ ∀ x10 : ι → ι . (∀ x11 . x11 ∈ int ⟶ x10 x11 ∈ int) ⟶ ∀ x11 : ι → ι → ι . (∀ x12 . x12 ∈ int ⟶ ∀ x13 . x13 ∈ int ⟶ x11 x12 x13 ∈ int) ⟶ ∀ x12 : ι → ι → ι . (∀ x13 . x13 ∈ int ⟶ ∀ x14 . x14 ∈ int ⟶ x12 x13 x14 ∈ int) ⟶ ∀ x13 : ι → ι . (∀ x14 . x14 ∈ int ⟶ x13 x14 ∈ int) ⟶ ∀ x14 . x14 ∈ int ⟶ ∀ x15 : ι → ι → ι . (∀ x16 . x16 ∈ int ⟶ ∀ x17 . x17 ∈ int ⟶ x15 x16 x17 ∈ int) ⟶ ∀ x16 : ι → ι . (∀ x17 . x17 ∈ int ⟶ x16 x17 ∈ int) ⟶ ∀ x17 : ι → ι . (∀ x18 . x18 ∈ int ⟶ x17 x18 ∈ int) ⟶ ∀ x18 . x18 ∈ int ⟶ ∀ x19 : ι → ι → ι . (∀ x20 . x20 ∈ int ⟶ ∀ x21 . x21 ∈ int ⟶ x19 x20 x21 ∈ int) ⟶ ∀ x20 : ι → ι . (∀ x21 . x21 ∈ int ⟶ x20 x21 ∈ int) ⟶ ∀ x21 : ι → ι . (∀ x22 . x22 ∈ int ⟶ x21 x22 ∈ int) ⟶ (∀ x22 . x22 ∈ int ⟶ ∀ x23 . x23 ∈ int ⟶ x0 x22 x23 = mul_SNo x22 x23) ⟶ (∀ x22 . x22 ∈ int ⟶ ∀ x23 . x23 ∈ int ⟶ x1 x22 x23 = add_SNo 1 (add_SNo x23 (minus_SNo x22))) ⟶ (∀ x22 . x22 ∈ int ⟶ x2 x22 = x22) ⟶ x3 = 0 ⟶ (∀ x22 . x22 ∈ int ⟶ ∀ x23 . x23 ∈ int ⟶ x4 x22 x23 = If_i (SNoLe x22 0) x23 (x1 (x4 (add_SNo x22 (minus_SNo 1)) x23) x22)) ⟶ (∀ x22 . x22 ∈ int ⟶ x5 x22 = x4 (x2 x22) x3) ⟶ (∀ x22 . x22 ∈ int ⟶ x6 x22 = x5 x22) ⟶ x7 = 1 ⟶ (∀ x22 . x22 ∈ int ⟶ ∀ x23 . x23 ∈ int ⟶ x8 x22 x23 = If_i (SNoLe x22 0) x23 (x0 (x8 (add_SNo x22 (minus_SNo 1)) x23) x22)) ⟶ (∀ x22 . x22 ∈ int ⟶ x9 x22 = x8 (x6 x22) x7) ⟶ (∀ x22 . x22 ∈ int ⟶ x10 x22 = x9 x22) ⟶ (∀ x22 . x22 ∈ int ⟶ ∀ x23 . x23 ∈ int ⟶ x11 x22 x23 = add_SNo (mul_SNo x22 x23) x22) ⟶ (∀ x22 . x22 ∈ int ⟶ ∀ x23 . x23 ∈ int ⟶ x12 x22 x23 = add_SNo x23 (minus_SNo x22)) ⟶ (∀ x22 . x22 ∈ int ⟶ x13 x22 = x22) ⟶ x14 = 1 ⟶ (∀ x22 . x22 ∈ int ⟶ ∀ x23 . x23 ∈ int ⟶ x15 x22 x23 = If_i (SNoLe x22 0) x23 (x12 (x15 (add_SNo x22 (minus_SNo 1)) x23) x22)) ⟶ (∀ x22 . x22 ∈ int ⟶ x16 x22 = x15 (x13 x22) x14) ⟶ (∀ x22 . x22 ∈ int ⟶ x17 x22 = add_SNo x22 (minus_SNo (x16 x22))) ⟶ x18 = 1 ⟶ (∀ x22 . x22 ∈ int ⟶ ∀ x23 . x23 ∈ int ⟶ x19 x22 x23 = If_i (SNoLe x22 0) x23 (x11 (x19 (add_SNo x22 (minus_SNo 1)) x23) x22)) ⟶ (∀ x22 . x22 ∈ int ⟶ x20 x22 = x19 (x17 x22) x18) ⟶ (∀ x22 . x22 ∈ int ⟶ x21 x22 = x20 x22) ⟶ ∀ x22 . x22 ∈ int ⟶ SNoLe 0 x22 ⟶ x10 x22 = x21 x22
Conjecture 1ebfe..^A28403 : ∀ x0 : ι → ι . (∀ x1 . x1 ∈ int ⟶ x0 x1 ∈ int) ⟶ ∀ x1 : ι → ι . (∀ x2 . x2 ∈ int ⟶ x1 x2 ∈ int) ⟶ ∀ x2 : ι → ι . (∀ x3 . x3 ∈ int ⟶ x2 x3 ∈ int) ⟶ ∀ x3 : ι → ι . (∀ x4 . x4 ∈ int ⟶ x3 x4 ∈ int) ⟶ ∀ x4 . x4 ∈ int ⟶ ∀ x5 : ι → ι → ι . (∀ x6 . x6 ∈ int ⟶ ∀ x7 . x7 ∈ int ⟶ x5 x6 x7 ∈ int) ⟶ ∀ x6 : ι → ι . (∀ x7 . x7 ∈ int ⟶ x6 x7 ∈ int) ⟶ ∀ x7 : ι → ι . (∀ x8 . x8 ∈ int ⟶ x7 x8 ∈ int) ⟶ ∀ x8 : ι → ι → ι . (∀ x9 . x9 ∈ int ⟶ ∀ x10 . x10 ∈ int ⟶ x8 x9 x10 ∈ int) ⟶ ∀ x9 : ι → ι . (∀ x10 . x10 ∈ int ⟶ x9 x10 ∈ int) ⟶ ∀ x10 : ι → ι . (∀ x11 . x11 ∈ int ⟶ x10 x11 ∈ int) ⟶ ∀ x11 : ι → ι . (∀ x12 . x12 ∈ int ⟶ x11 x12 ∈ int) ⟶ ∀ x12 . x12 ∈ int ⟶ ∀ x13 : ι → ι . (∀ x14 . x14 ∈ int ⟶ x13 x14 ∈ int) ⟶ ∀ x14 : ι → ι . (∀ x15 . x15 ∈ int ⟶ x14 x15 ∈ int) ⟶ ∀ x15 . x15 ∈ int ⟶ ∀ x16 : ι → ι → ι . (∀ x17 . x17 ∈ int ⟶ ∀ x18 . x18 ∈ int ⟶ x16 x17 x18 ∈ int) ⟶ ∀ x17 : ι → ι . (∀ x18 . x18 ∈ int ⟶ x17 x18 ∈ int) ⟶ ∀ x18 : ι → ι . (∀ x19 . x19 ∈ int ⟶ x18 x19 ∈ int) ⟶ ∀ x19 : ι → ι → ι . (∀ x20 . x20 ∈ int ⟶ ∀ x21 . x21 ∈ int ⟶ x19 x20 x21 ∈ int) ⟶ ∀ x20 : ι → ι . (∀ x21 . x21 ∈ int ⟶ x20 x21 ∈ int) ⟶ ∀ x21 : ι → ι . (∀ x22 . x22 ∈ int ⟶ x21 x22 ∈ int) ⟶ (∀ x22 . x22 ∈ int ⟶ x0 x22 = add_SNo x22 x22) ⟶ (∀ x22 . x22 ∈ int ⟶ x1 x22 = x22) ⟶ (∀ x22 . x22 ∈ int ⟶ x2 x22 = add_SNo x22 x22) ⟶ (∀ x22 . x22 ∈ int ⟶ x3 x22 = x22) ⟶ x4 = 2 ⟶ (∀ x22 . x22 ∈ int ⟶ ∀ x23 . x23 ∈ int ⟶ x5 x22 x23 = If_i (SNoLe x22 0) x23 (x2 (x5 (add_SNo x22 (minus_SNo 1)) x23))) ⟶ (∀ x22 . x22 ∈ int ⟶ x6 x22 = x5 (x3 x22) x4) ⟶ (∀ x22 . x22 ∈ int ⟶ x7 x22 = add_SNo 2 (x6 x22)) ⟶ (∀ x22 . x22 ∈ int ⟶ ∀ x23 . x23 ∈ int ⟶ x8 x22 x23 = If_i (SNoLe x22 0) x23 (x0 (x8 (add_SNo x22 (minus_SNo 1)) x23))) ⟶ (∀ x22 . x22 ∈ int ⟶ x9 x22 = x8 (x1 x22) (x7 x22)) ⟶ (∀ x22 . x22 ∈ int ⟶ x10 x22 = x9 x22) ⟶ (∀ x22 . x22 ∈ int ⟶ x11 x22 = add_SNo (mul_SNo x22 x22) x22) ⟶ x12 = 1 ⟶ (∀ x22 . x22 ∈ int ⟶ x13 x22 = add_SNo x22 x22) ⟶ (∀ x22 . x22 ∈ int ⟶ x14 x22 = x22) ⟶ x15 = 1 ⟶ (∀ x22 . x22 ∈ int ⟶ ∀ x23 . x23 ∈ int ⟶ x16 x22 x23 = If_i (SNoLe x22 0) x23 (x13 (x16 (add_SNo x22 (minus_SNo 1)) x23))) ⟶ (∀ x22 . x22 ∈ int ⟶ x17 x22 = x16 (x14 x22) x15) ⟶ (∀ x22 . x22 ∈ int ⟶ x18 x22 = x17 x22) ⟶ (∀ x22 . x22 ∈ int ⟶ ∀ x23 . x23 ∈ int ⟶ x19 x22 x23 = If_i (SNoLe x22 0) x23 (x11 (x19 (add_SNo x22 (minus_SNo 1)) x23))) ⟶ (∀ x22 . x22 ∈ int ⟶ x20 x22 = x19 x12 (x18 x22)) ⟶ (∀ x22 . x22 ∈ int ⟶ x21 x22 = mul_SNo 2 (x20 x22)) ⟶ ∀ x22 . x22 ∈ int ⟶ SNoLe 0 x22 ⟶ x10 x22 = x21 x22
Conjecture 6d22c..^A282901 : ∀ x0 : ι → ι → ι . (∀ x1 . x1 ∈ int ⟶ ∀ x2 . x2 ∈ int ⟶ x0 x1 x2 ∈ int) ⟶ ∀ x1 : ι → ι → ι . (∀ x2 . x2 ∈ int ⟶ ∀ x3 . x3 ∈ int ⟶ x1 x2 x3 ∈ int) ⟶ ∀ x2 : ι → ι . (∀ x3 . x3 ∈ int ⟶ x2 x3 ∈ int) ⟶ ∀ x3 : ι → ι . (∀ x4 . x4 ∈ int ⟶ x3 x4 ∈ int) ⟶ ∀ x4 : ι → ι . (∀ x5 . x5 ∈ int ⟶ x4 x5 ∈ int) ⟶ ∀ x5 : ι → ι → ι → ι . (∀ x6 . x6 ∈ int ⟶ ∀ x7 . x7 ∈ int ⟶ ∀ x8 . x8 ∈ int ⟶ x5 x6 x7 x8 ∈ int) ⟶ ∀ x6 : ι → ι → ι → ι . (∀ x7 . x7 ∈ int ⟶ ∀ x8 . x8 ∈ int ⟶ ∀ x9 . x9 ∈ int ⟶ x6 x7 x8 x9 ∈ int) ⟶ ∀ x7 : ι → ι . (∀ x8 . x8 ∈ int ⟶ x7 x8 ∈ int) ⟶ ∀ x8 : ι → ι . (∀ x9 . x9 ∈ int ⟶ x8 x9 ∈ int) ⟶ ∀ x9 : ι → ι → ι . (∀ x10 . x10 ∈ int ⟶ ∀ x11 . x11 ∈ int ⟶ x9 x10 x11 ∈ int) ⟶ ∀ x10 : ι → ι . (∀ x11 . x11 ∈ int ⟶ x10 x11 ∈ int) ⟶ ∀ x11 : ι → ι . (∀ x12 . x12 ∈ int ⟶ x11 x12 ∈ int) ⟶ ∀ x12 : ι → ι . (∀ x13 . x13 ∈ int ⟶ x12 x13 ∈ int) ⟶ ∀ x13 . x13 ∈ int ⟶ ∀ x14 : ι → ι → ι → ι . (∀ x15 . x15 ∈ int ⟶ ∀ x16 . x16 ∈ int ⟶ ∀ x17 . x17 ∈ int ⟶ x14 x15 x16 x17 ∈ int) ⟶ ∀ x15 : ι → ι → ι → ι . (∀ x16 . x16 ∈ int ⟶ ∀ x17 . x17 ∈ int ⟶ ∀ x18 . x18 ∈ int ⟶ x15 x16 x17 x18 ∈ int) ⟶ ∀ x16 : ι → ι . (∀ x17 . x17 ∈ int ⟶ x16 x17 ∈ int) ⟶ ∀ x17 : ι → ι . (∀ x18 . x18 ∈ int ⟶ x17 x18 ∈ int) ⟶ (∀ x18 . x18 ∈ int ⟶ ∀ x19 . x19 ∈ int ⟶ x0 x18 x19 = add_SNo x18 x19) ⟶ (∀ x18 . x18 ∈ int ⟶ ∀ x19 . x19 ∈ int ⟶ x1 x18 x19 = add_SNo (add_SNo (add_SNo x18 x19) x19) x19) ⟶ (∀ x18 . x18 ∈ int ⟶ x2 x18 = x18) ⟶ (∀ x18 . x18 ∈ int ⟶ x3 x18 = If_i (SNoLe x18 0) 1 2) ⟶ (∀ x18 . x18 ∈ int ⟶ x4 x18 = x18) ⟶ (∀ x18 . x18 ∈ int ⟶ ∀ x19 . x19 ∈ int ⟶ ∀ x20 . x20 ∈ int ⟶ x5 x18 x19 x20 = If_i (SNoLe x18 0) x19 (x0 (x5 (add_SNo x18 (minus_SNo 1)) x19 x20) (x6 (add_SNo x18 (minus_SNo 1)) x19 x20))) ⟶ (∀ x18 . x18 ∈ int ⟶ ∀ x19 . x19 ∈ int ⟶ ∀ x20 . x20 ∈ int ⟶ x6 x18 x19 x20 = If_i (SNoLe x18 0) x20 (x1 (x5 (add_SNo x18 (minus_SNo 1)) x19 x20) (x6 (add_SNo x18 (minus_SNo 1)) x19 x20))) ⟶ (∀ x18 . x18 ∈ int ⟶ x7 x18 = x5 (x2 x18) (x3 x18) (x4 x18)) ⟶ (∀ x18 . x18 ∈ int ⟶ x8 x18 = x7 x18) ⟶ (∀ x18 . x18 ∈ int ⟶ ∀ x19 . x19 ∈ int ⟶ x9 x18 x19 = mul_SNo 2 (add_SNo (add_SNo x18 (minus_SNo x19)) x18)) ⟶ (∀ x18 . x18 ∈ int ⟶ x10 x18 = x18) ⟶ (∀ x18 . x18 ∈ int ⟶ x11 x18 = add_SNo x18 (minus_SNo 1)) ⟶ (∀ x18 . x18 ∈ int ⟶ x12 x18 = add_SNo 2 x18) ⟶ x13 = 2 ⟶ (∀ x18 . x18 ∈ int ⟶ ∀ x19 . x19 ∈ int ⟶ ∀ x20 . x20 ∈ int ⟶ x14 x18 x19 x20 = If_i (SNoLe x18 0) x19 (x9 (x14 (add_SNo x18 (minus_SNo 1)) x19 x20) (x15 (add_SNo x18 (minus_SNo 1)) x19 x20))) ⟶ (∀ x18 . x18 ∈ int ⟶ ∀ x19 . x19 ∈ int ⟶ ∀ x20 . x20 ∈ int ⟶ x15 x18 x19 x20 = If_i (SNoLe x18 0) x20 (x10 (x14 (add_SNo x18 (minus_SNo 1)) x19 x20))) ⟶ (∀ x18 . x18 ∈ int ⟶ x16 x18 = x14 (x11 x18) (x12 x18) x13) ⟶ (∀ x18 . x18 ∈ int ⟶ x17 x18 = If_i (SNoLe x18 0) 1 (x16 x18)) ⟶ ∀ x18 . x18 ∈ int ⟶ SNoLe 0 x18 ⟶ x8 x18 = x17 x18
Conjecture 44d88..^A28224 : ∀ x0 : ι → ι → ι . (∀ x1 . x1 ∈ int ⟶ ∀ x2 . x2 ∈ int ⟶ x0 x1 x2 ∈ int) ⟶ ∀ x1 . x1 ∈ int ⟶ ∀ x2 : ι → ι . (∀ x3 . x3 ∈ int ⟶ x2 x3 ∈ int) ⟶ ∀ x3 : ι → ι → ι . (∀ x4 . x4 ∈ int ⟶ ∀ x5 . x5 ∈ int ⟶ x3 x4 x5 ∈ int) ⟶ ∀ x4 : ι → ι . (∀ x5 . x5 ∈ int ⟶ x4 x5 ∈ int) ⟶ ∀ x5 : ι → ι → ι . (∀ x6 . x6 ∈ int ⟶ ∀ x7 . x7 ∈ int ⟶ x5 x6 x7 ∈ int) ⟶ ∀ x6 : ι → ι → ι . (∀ x7 . x7 ∈ int ⟶ ∀ x8 . x8 ∈ int ⟶ x6 x7 x8 ∈ int) ⟶ ∀ x7 : ι → ι → ι . (∀ x8 . x8 ∈ int ⟶ ∀ x9 . x9 ∈ int ⟶ x7 x8 x9 ∈ int) ⟶ ∀ x8 . x8 ∈ int ⟶ ∀ x9 . x9 ∈ int ⟶ ∀ x10 : ι → ι → ι → ι . (∀ x11 . x11 ∈ int ⟶ ∀ x12 . x12 ∈ int ⟶ ∀ x13 . x13 ∈ int ⟶ x10 x11 x12 x13 ∈ int) ⟶ ∀ x11 : ι → ι → ι → ι . (∀ x12 . x12 ∈ int ⟶ ∀ x13 . x13 ∈ int ⟶ ∀ x14 . x14 ∈ int ⟶ x11 x12 x13 x14 ∈ int) ⟶ ∀ x12 : ι → ι → ι . (∀ x13 . x13 ∈ int ⟶ ∀ x14 . x14 ∈ int ⟶ x12 x13 x14 ∈ int) ⟶ ∀ x13 : ι → ι → ι . (∀ x14 . x14 ∈ int ⟶ ∀ x15 . x15 ∈ int ⟶ x13 x14 x15 ∈ int) ⟶ ∀ x14 . x14 ∈ int ⟶ ∀ x15 : ι → ι . (∀ x16 . x16 ∈ int ⟶ x15 x16 ∈ int) ⟶ ∀ x16 : ι → ι → ι . (∀ x17 . x17 ∈ int ⟶ ∀ x18 . x18 ∈ int ⟶ x16 x17 x18 ∈ int) ⟶ ∀ x17 : ι → ι . (∀ x18 . x18 ∈ int ⟶ x17 x18 ∈ int) ⟶ ∀ x18 : ι → ι → ι . (∀ x19 . x19 ∈ int ⟶ ∀ x20 . x20 ∈ int ⟶ x18 x19 x20 ∈ int) ⟶ ∀ x19 : ι → ι → ι . (∀ x20 . x20 ∈ int ⟶ ∀ x21 . x21 ∈ int ⟶ x19 x20 x21 ∈ int) ⟶ ∀ x20 . x20 ∈ int ⟶ ∀ x21 : ι → ι → ι . (∀ x22 . x22 ∈ int ⟶ ∀ x23 . x23 ∈ int ⟶ x21 x22 x23 ∈ int) ⟶ ∀ x22 : ι → ι → ι . (∀ x23 . x23 ∈ int ⟶ ∀ x24 . x24 ∈ int ⟶ x22 x23 x24 ∈ int) ⟶ ∀ x23 : ι → ι → ι . (∀ x24 . x24 ∈ int ⟶ ∀ x25 . x25 ∈ int ⟶ x23 x24 x25 ∈ int) ⟶ ∀ x24 : ι → ι . (∀ x25 . x25 ∈ int ⟶ x24 x25 ∈ int) ⟶ ∀ x25 . x25 ∈ int ⟶ ∀ x26 : ι → ι → ι . (∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ x26 x27 x28 ∈ int) ⟶ ∀ x27 : ι → ι . (∀ x28 . x28 ∈ int ⟶ x27 x28 ∈ int) ⟶ ∀ x28 : ι → ι . (∀ x29 . x29 ∈ int ⟶ x28 x29 ∈ int) ⟶ ∀ x29 : ι → ι → ι . (∀ x30 . x30 ∈ int ⟶ ∀ x31 . x31 ∈ int ⟶ x29 x30 x31 ∈ int) ⟶ ∀ x30 : ι → ι → ι . (∀ x31 . x31 ∈ int ⟶ ∀ x32 . x32 ∈ int ⟶ x30 x31 x32 ∈ int) ⟶ ∀ x31 : ι → ι . (∀ x32 . x32 ∈ int ⟶ x31 x32 ∈ int) ⟶ ∀ x32 . x32 ∈ int ⟶ ∀ x33 . x33 ∈ int ⟶ ∀ x34 : ι → ι → ι → ι . (∀ x35 . x35 ∈ int ⟶ ∀ x36 . x36 ∈ int ⟶ ∀ x37 . x37 ∈ int ⟶ x34 x35 x36 x37 ∈ int) ⟶ ∀ x35 : ι → ι → ι → ι . (∀ x36 . x36 ∈ int ⟶ ∀ x37 . x37 ∈ int ⟶ ∀ x38 . x38 ∈ int ⟶ x35 x36 x37 x38 ∈ int) ⟶ ∀ x36 : ι → ι . (∀ x37 . x37 ∈ int ⟶ x36 x37 ∈ int) ⟶ ∀ x37 : ι → ι . (∀ x38 . x38 ∈ int ⟶ x37 x38 ∈ int) ⟶ ∀ x38 . x38 ∈ int ⟶ ∀ x39 : ι → ι . (∀ x40 . x40 ∈ int ⟶ x39 x40 ∈ int) ⟶ ∀ x40 : ι → ι . (∀ x41 . x41 ∈ int ⟶ x40 x41 ∈ int) ⟶ ∀ x41 . x41 ∈ int ⟶ ∀ x42 : ι → ι → ι . (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x42 x43 x44 ∈ int) ⟶ ∀ x43 : ι → ι . (∀ x44 . x44 ∈ int ⟶ x43 x44 ∈ int) ⟶ ∀ x44 : ι → ι . (∀ x45 . x45 ∈ int ⟶ x44 x45 ∈ int) ⟶ ∀ x45 : ι → ι → ι . (∀ x46 . x46 ∈ int ⟶ ∀ x47 . x47 ∈ int ⟶ x45 x46 x47 ∈ int) ⟶ ∀ x46 : ι → ι . (∀ x47 . x47 ∈ int ⟶ x46 x47 ∈ int) ⟶ ∀ x47 : ι → ι . (∀ x48 . x48 ∈ int ⟶ x47 x48 ∈ int) ⟶ ∀ x48 . x48 ∈ int ⟶ ∀ x49 : ι → ι → ι . (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x49 x50 x51 ∈ int) ⟶ ∀ x50 : ι → ι → ι . (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x50 x51 x52 ∈ int) ⟶ ∀ x51 : ι → ι → ι . (∀ x52 . x52 ∈ int ⟶ ∀ x53 . x53 ∈ int ⟶ x51 x52 x53 ∈ int) ⟶ ∀ x52 : ι → ι → ι . (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x52 x53 x54 ∈ int) ⟶ ∀ x53 : ι → ι . (∀ x54 . x54 ∈ int ⟶ x53 x54 ∈ int) ⟶ ∀ x54 . x54 ∈ int ⟶ ∀ x55 : ι → ι → ι . (∀ x56 . x56 ∈ int ⟶ ∀ x57 . x57 ∈ int ⟶ x55 x56 x57 ∈ int) ⟶ ∀ x56 : ι → ι . (∀ x57 . x57 ∈ int ⟶ x56 x57 ∈ int) ⟶ ∀ x57 : ι → ι . (∀ x58 . x58 ∈ int ⟶ x57 x58 ∈ int) ⟶ ∀ x58 . x58 ∈ int ⟶ ∀ x59 : ι → ι → ι . (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x59 x60 x61 ∈ int) ⟶ ∀ x60 : ι → ι → ι . (∀ x61 . x61 ∈ int ⟶ ∀ x62 . x62 ∈ int ⟶ x60 x61 x62 ∈ int) ⟶ ∀ x61 : ι → ι → ι . (∀ x62 . x62 ∈ int ⟶ ∀ x63 . x63 ∈ int ⟶ x61 x62 x63 ∈ int) ⟶ ∀ x62 : ι → ι → ι . (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x62 x63 x64 ∈ int) ⟶ ∀ x63 : ι → ι . (∀ x64 . x64 ∈ int ⟶ x63 x64 ∈ int) ⟶ ∀ x64 . x64 ∈ int ⟶ ∀ x65 : ι → ι → ι . (∀ x66 . x66 ∈ int ⟶ ∀ x67 . x67 ∈ int ⟶ x65 x66 x67 ∈ int) ⟶ ∀ x66 : ι → ι . (∀ x67 . x67 ∈ int ⟶ x66 x67 ∈ int) ⟶ ∀ x67 : ι → ι . (∀ x68 . x68 ∈ int ⟶ x67 x68 ∈ int) ⟶ (∀ x68 . x68 ∈ int ⟶ ∀ x69 . x69 ∈ int ⟶ x0 x68 x69 = mul_SNo (add_SNo 2 x69) x68) ⟶ x1 = 2 ⟶ (∀ x68 . x68 ∈ int ⟶ x2 x68 = x68) ⟶ (∀ x68 . x68 ∈ int ⟶ ∀ x69 . x69 ∈ int ⟶ x3 x68 x69 = If_i (SNoLe x68 0) x69 (x0 (x3 (add_SNo x68 (minus_SNo 1)) x69) x68)) ⟶ (∀ x68 . x68 ∈ int ⟶ x4 x68 = x3 x1 (x2 x68)) ⟶ (∀ x68 . x68 ∈ int ⟶ ∀ x69 . x69 ∈ int ⟶ x5 x68 x69 = add_SNo (add_SNo (x4 x68) (minus_SNo x68)) (mul_SNo (mul_SNo x69 x69) x69)) ⟶ (∀ x68 . x68 ∈ int ⟶ ∀ x69 . x69 ∈ int ⟶ x6 x68 x69 = add_SNo x69 x69) ⟶ (∀ x68 . x68 ∈ int ⟶ ∀ x69 . x69 ∈ int ⟶ x7 x68 x69 = x69) ⟶ x8 = 1 ⟶ x9 = 2 ⟶ (∀ x68 . x68 ∈ int ⟶ ∀ x69 . x69 ∈ int ⟶ ∀ x70 . x70 ∈ int ⟶ x10 x68 x69 x70 = If_i (SNoLe x68 0) x69 (x5 (x10 (add_SNo x68 (minus_SNo 1)) x69 x70) (x11 (add_SNo x68 (minus_SNo 1)) x69 x70))) ⟶ (∀ x68 . x68 ∈ int ⟶ ∀ x69 . x69 ∈ int ⟶ ∀ x70 . x70 ∈ int ⟶ x11 x68 x69 x70 = If_i (SNoLe x68 0) x70 (x6 (x10 (add_SNo x68 (minus_SNo 1)) x69 x70) (x11 (add_SNo x68 (minus_SNo 1)) x69 x70))) ⟶ (∀ x68 . x68 ∈ int ⟶ ∀ x69 . x69 ∈ int ⟶ x12 x68 x69 = x10 (x7 x68 x69) x8 x9) ⟶ (∀ x68 . x68 ∈ int ⟶ ∀ x69 . x69 ∈ int ⟶ x13 x68 x69 = mul_SNo (add_SNo 2 x69) x68) ⟶ x14 = 2 ⟶ (∀ x68 . x68 ∈ int ⟶ x15 x68 = x68) ⟶ (∀ x68 . x68 ∈ int ⟶ ∀ x69 . x69 ∈ int ⟶ x16 x68 x69 = If_i (SNoLe x68 0) x69 (x13 (x16 (add_SNo x68 (minus_SNo 1)) x69) x68)) ⟶ (∀ x68 . x68 ∈ int ⟶ x17 x68 = x16 x14 (x15 x68)) ⟶ (∀ x68 . x68 ∈ int ⟶ ∀ x69 . x69 ∈ int ⟶ x18 x68 x69 = add_SNo (x12 x68 x69) (x17 x68)) ⟶ (∀ x68 . x68 ∈ int ⟶ ∀ x69 . x69 ∈ int ⟶ x19 x68 x69 = x69) ⟶ x20 = 1 ⟶ (∀ x68 . x68 ∈ int ⟶ ∀ x69 . x69 ∈ int ⟶ x21 x68 x69 = If_i (SNoLe x68 0) x69 (x18 (x21 (add_SNo x68 (minus_SNo 1)) x69) x68)) ⟶ (∀ x68 . x68 ∈ int ⟶ ∀ x69 . x69 ∈ int ⟶ x22 x68 x69 = x21 (x19 x68 x69) x20) ⟶ (∀ x68 . x68 ∈ int ⟶ ∀ x69 . x69 ∈ int ⟶ x23 x68 x69 = add_SNo (add_SNo (x22 x68 x69) (mul_SNo 2 (add_SNo (add_SNo x68 x68) x68))) x68) ⟶ (∀ x68 . x68 ∈ int ⟶ x24 x68 = x68) ⟶ x25 = 1 ⟶ (∀ x68 . x68 ∈ int ⟶ ∀ x69 . x69 ∈ int ⟶ x26 x68 x69 = If_i (SNoLe x68 0) x69 (x23 (x26 (add_SNo x68 (minus_SNo 1)) x69) x68)) ⟶ (∀ x68 . x68 ∈ int ⟶ x27 x68 = x26 (x24 x68) x25) ⟶ (∀ x68 . x68 ∈ int ⟶ x28 x68 = x27 x68) ⟶ (∀ x68 . x68 ∈ int ⟶ ∀ x69 . x69 ∈ int ⟶ x29 x68 x69 = add_SNo (add_SNo (add_SNo x68 x68) x68) x69) ⟶ (∀ x68 . x68 ∈ int ⟶ ∀ x69 . x69 ∈ int ⟶ x30 x68 x69 = add_SNo x69 x69) ⟶ (∀ x68 . x68 ∈ int ⟶ x31 x68 = x68) ⟶ x32 = 1 ⟶ x33 = 2 ⟶ (∀ x68 . x68 ∈ int ⟶ ∀ x69 . x69 ∈ int ⟶ ∀ x70 . x70 ∈ int ⟶ x34 x68 x69 x70 = If_i (SNoLe x68 0) x69 (x29 (x34 (add_SNo x68 (minus_SNo 1)) x69 x70) (x35 (add_SNo x68 (minus_SNo 1)) x69 x70))) ⟶ (∀ x68 . x68 ∈ int ⟶ ∀ x69 . x69 ∈ int ⟶ ∀ x70 . x70 ∈ int ⟶ x35 x68 x69 x70 = If_i (SNoLe x68 0) x70 (x30 (x34 (add_SNo x68 (minus_SNo 1)) x69 x70) (x35 (add_SNo x68 (minus_SNo 1)) x69 x70))) ⟶ (∀ x68 . x68 ∈ int ⟶ x36 x68 = x34 (x31 x68) x32 x33) ⟶ (∀ x68 . x68 ∈ int ⟶ x37 x68 = mul_SNo x68 x68) ⟶ x38 = 1 ⟶ (∀ x68 . x68 ∈ int ⟶ x39 x68 = add_SNo x68 x68) ⟶ (∀ x68 . x68 ∈ int ⟶ x40 x68 = x68) ⟶ x41 = 1 ⟶ (∀ x68 . x68 ∈ int ⟶ ∀ x69 . x69 ∈ int ⟶ x42 x68 x69 = If_i (SNoLe x68 0) x69 (x39 (x42 (add_SNo x68 (minus_SNo 1)) x69))) ⟶ (∀ x68 . x68 ∈ int ⟶ x43 x68 = x42 (x40 x68) x41) ⟶ (∀ x68 . x68 ∈ int ⟶ x44 x68 = x43 x68) ⟶ (∀ x68 . x68 ∈ int ⟶ ∀ x69 . x69 ∈ int ⟶ x45 x68 x69 = If_i (SNoLe x68 0) x69 (x37 (x45 (add_SNo x68 (minus_SNo 1)) x69))) ⟶ (∀ x68 . x68 ∈ int ⟶ x46 x68 = x45 x38 (x44 x68)) ⟶ (∀ x68 . x68 ∈ int ⟶ x47 x68 = mul_SNo (x36 x68) (x46 x68)) ⟶ x48 = 1 ⟶ (∀ x68 . x68 ∈ int ⟶ ∀ x69 . x69 ∈ int ⟶ x49 x68 x69 = x69) ⟶ (∀ x68 . x68 ∈ int ⟶ ∀ x69 . x69 ∈ int ⟶ x50 x68 x69 = If_i (SNoLe x68 0) x69 (x47 (x50 (add_SNo x68 (minus_SNo 1)) x69))) ⟶ (∀ x68 . x68 ∈ int ⟶ ∀ x69 . x69 ∈ int ⟶ x51 x68 x69 = x50 x48 (x49 x68 x69)) ⟶ (∀ x68 . x68 ∈ int ⟶ ∀ x69 . x69 ∈ int ⟶ x52 x68 x69 = add_SNo (add_SNo (x51 x68 x69) (mul_SNo 2 (add_SNo (add_SNo x68 x68) x68))) x68) ⟶ (∀ x68 . x68 ∈ int ⟶ x53 x68 = x68) ⟶ x54 = 1 ⟶ (∀ x68 . x68 ∈ int ⟶ ∀ x69 . x69 ∈ int ⟶ x55 x68 x69 = If_i (SNoLe x68 0) x69 (x52 (x55 (add_SNo x68 (minus_SNo 1)) x69) x68)) ⟶ (∀ x68 . x68 ∈ int ⟶ x56 x68 = x55 (x53 x68) x54) ⟶ (∀ x68 . x68 ∈ int ⟶ x57 x68 = x56 x68) ⟶ x58 = 1 ⟶ (∀ x68 . x68 ∈ int ⟶ ∀ x69 . x69 ∈ int ⟶ x59 x68 x69 = x69) ⟶ (∀ x68 . x68 ∈ int ⟶ ∀ x69 . x69 ∈ int ⟶ x60 x68 x69 = If_i (SNoLe x68 0) x69 (x57 (x60 (add_SNo x68 (minus_SNo 1)) x69))) ⟶ (∀ x68 . x68 ∈ int ⟶ ∀ x69 . x69 ∈ int ⟶ x61 x68 x69 = x60 x58 (x59 x68 x69)) ⟶ (∀ x68 . x68 ∈ int ⟶ ∀ x69 . x69 ∈ int ⟶ x62 x68 x69 = add_SNo (add_SNo (x61 x68 x69) (mul_SNo (add_SNo (mul_SNo (add_SNo x68 x68) 2) x68) 2)) x68) ⟶ (∀ x68 . x68 ∈ int ⟶ x63 x68 = x68) ⟶ x64 = 1 ⟶ (∀ x68 . x68 ∈ int ⟶ ∀ x69 . x69 ∈ int ⟶ x65 x68 x69 = If_i (SNoLe x68 0) x69 (x62 (x65 (add_SNo x68 (minus_SNo 1)) x69) x68)) ⟶ (∀ x68 . x68 ∈ int ⟶ x66 x68 = x65 (x63 x68) x64) ⟶ (∀ x68 . x68 ∈ int ⟶ x67 x68 = x66 x68) ⟶ ∀ x68 . x68 ∈ int ⟶ SNoLe 0 x68 ⟶ x28 x68 = x67 x68
Conjecture dda7d..^A28221 : ∀ x0 : ι → ι . (∀ x1 . x1 ∈ int ⟶ x0 x1 ∈ int) ⟶ ∀ x1 : ι → ι → ι . (∀ x2 . x2 ∈ int ⟶ ∀ x3 . x3 ∈ int ⟶ x1 x2 x3 ∈ int) ⟶ ∀ x2 . x2 ∈ int ⟶ ∀ x3 : ι → ι → ι . (∀ x4 . x4 ∈ int ⟶ ∀ x5 . x5 ∈ int ⟶ x3 x4 x5 ∈ int) ⟶ ∀ x4 : ι → ι → ι . (∀ x5 . x5 ∈ int ⟶ ∀ x6 . x6 ∈ int ⟶ x4 x5 x6 ∈ int) ⟶ ∀ x5 : ι → ι → ι . (∀ x6 . x6 ∈ int ⟶ ∀ x7 . x7 ∈ int ⟶ x5 x6 x7 ∈ int) ⟶ ∀ x6 : ι → ι → ι . (∀ x7 . x7 ∈ int ⟶ ∀ x8 . x8 ∈ int ⟶ x6 x7 x8 ∈ int) ⟶ ∀ x7 . x7 ∈ int ⟶ ∀ x8 : ι → ι → ι . (∀ x9 . x9 ∈ int ⟶ ∀ x10 . x10 ∈ int ⟶ x8 x9 x10 ∈ int) ⟶ ∀ x9 : ι → ι → ι . (∀ x10 . x10 ∈ int ⟶ ∀ x11 . x11 ∈ int ⟶ x9 x10 x11 ∈ int) ⟶ ∀ x10 : ι → ι → ι . (∀ x11 . x11 ∈ int ⟶ ∀ x12 . x12 ∈ int ⟶ x10 x11 x12 ∈ int) ⟶ ∀ x11 . x11 ∈ int ⟶ ∀ x12 : ι → ι . (∀ x13 . x13 ∈ int ⟶ x12 x13 ∈ int) ⟶ ∀ x13 : ι → ι → ι . (∀ x14 . x14 ∈ int ⟶ ∀ x15 . x15 ∈ int ⟶ x13 x14 x15 ∈ int) ⟶ ∀ x14 : ι → ι . (∀ x15 . x15 ∈ int ⟶ x14 x15 ∈ int) ⟶ ∀ x15 : ι → ι → ι . (∀ x16 . x16 ∈ int ⟶ ∀ x17 . x17 ∈ int ⟶ x15 x16 x17 ∈ int) ⟶ ∀ x16 : ι → ι → ι . (∀ x17 . x17 ∈ int ⟶ ∀ x18 . x18 ∈ int ⟶ x16 x17 x18 ∈ int) ⟶ ∀ x17 . x17 ∈ int ⟶ ∀ x18 : ι → ι → ι . (∀ x19 . x19 ∈ int ⟶ ∀ x20 . x20 ∈ int ⟶ x18 x19 x20 ∈ int) ⟶ ∀ x19 : ι → ι → ι . (∀ x20 . x20 ∈ int ⟶ ∀ x21 . x21 ∈ int ⟶ x19 x20 x21 ∈ int) ⟶ ∀ x20 : ι → ι → ι . (∀ x21 . x21 ∈ int ⟶ ∀ x22 . x22 ∈ int ⟶ x20 x21 x22 ∈ int) ⟶ ∀ x21 : ι → ι . (∀ x22 . x22 ∈ int ⟶ x21 x22 ∈ int) ⟶ ∀ x22 . x22 ∈ int ⟶ ∀ x23 : ι → ι → ι . (∀ x24 . x24 ∈ int ⟶ ∀ x25 . x25 ∈ int ⟶ x23 x24 x25 ∈ int) ⟶ ∀ x24 : ι → ι . (∀ x25 . x25 ∈ int ⟶ x24 x25 ∈ int) ⟶ ∀ x25 : ι → ι . (∀ x26 . x26 ∈ int ⟶ x25 x26 ∈ int) ⟶ ∀ x26 : ι → ι → ι . (∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ x26 x27 x28 ∈ int) ⟶ ∀ x27 : ι → ι → ι . (∀ x28 . x28 ∈ int ⟶ ∀ x29 . x29 ∈ int ⟶ x27 x28 x29 ∈ int) ⟶ ∀ x28 : ι → ι . (∀ x29 . x29 ∈ int ⟶ x28 x29 ∈ int) ⟶ ∀ x29 . x29 ∈ int ⟶ ∀ x30 . x30 ∈ int ⟶ ∀ x31 : ι → ι → ι → ι . (∀ x32 . x32 ∈ int ⟶ ∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x31 x32 x33 x34 ∈ int) ⟶ ∀ x32 : ι → ι → ι → ι . (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ ∀ x35 . x35 ∈ int ⟶ x32 x33 x34 x35 ∈ int) ⟶ ∀ x33 : ι → ι . (∀ x34 . x34 ∈ int ⟶ x33 x34 ∈ int) ⟶ ∀ x34 : ι → ι . (∀ x35 . x35 ∈ int ⟶ x34 x35 ∈ int) ⟶ ∀ x35 . x35 ∈ int ⟶ ∀ x36 : ι → ι . (∀ x37 . x37 ∈ int ⟶ x36 x37 ∈ int) ⟶ ∀ x37 : ι → ι . (∀ x38 . x38 ∈ int ⟶ x37 x38 ∈ int) ⟶ ∀ x38 . x38 ∈ int ⟶ ∀ x39 : ι → ι → ι . (∀ x40 . x40 ∈ int ⟶ ∀ x41 . x41 ∈ int ⟶ x39 x40 x41 ∈ int) ⟶ ∀ x40 : ι → ι . (∀ x41 . x41 ∈ int ⟶ x40 x41 ∈ int) ⟶ ∀ x41 : ι → ι . (∀ x42 . x42 ∈ int ⟶ x41 x42 ∈ int) ⟶ ∀ x42 : ι → ι → ι . (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x42 x43 x44 ∈ int) ⟶ ∀ x43 : ι → ι . (∀ x44 . x44 ∈ int ⟶ x43 x44 ∈ int) ⟶ ∀ x44 : ι → ι . (∀ x45 . x45 ∈ int ⟶ x44 x45 ∈ int) ⟶ ∀ x45 . x45 ∈ int ⟶ ∀ x46 : ι → ι → ι . (∀ x47 . x47 ∈ int ⟶ ∀ x48 . x48 ∈ int ⟶ x46 x47 x48 ∈ int) ⟶ ∀ x47 : ι → ι → ι . (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x47 x48 x49 ∈ int) ⟶ ∀ x48 : ι → ι → ι . (∀ x49 . x49 ∈ int ⟶ ∀ x50 . x50 ∈ int ⟶ x48 x49 x50 ∈ int) ⟶ ∀ x49 : ι → ι → ι . (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x49 x50 x51 ∈ int) ⟶ ∀ x50 : ι → ι . (∀ x51 . x51 ∈ int ⟶ x50 x51 ∈ int) ⟶ ∀ x51 . x51 ∈ int ⟶ ∀ x52 : ι → ι → ι . (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x52 x53 x54 ∈ int) ⟶ ∀ x53 : ι → ι . (∀ x54 . x54 ∈ int ⟶ x53 x54 ∈ int) ⟶ ∀ x54 : ι → ι . (∀ x55 . x55 ∈ int ⟶ x54 x55 ∈ int) ⟶ ∀ x55 . x55 ∈ int ⟶ ∀ x56 : ι → ι → ι . (∀ x57 . x57 ∈ int ⟶ ∀ x58 . x58 ∈ int ⟶ x56 x57 x58 ∈ int) ⟶ ∀ x57 : ι → ι → ι . (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x57 x58 x59 ∈ int) ⟶ ∀ x58 : ι → ι → ι . (∀ x59 . x59 ∈ int ⟶ ∀ x60 . x60 ∈ int ⟶ x58 x59 x60 ∈ int) ⟶ ∀ x59 : ι → ι → ι . (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x59 x60 x61 ∈ int) ⟶ ∀ x60 : ι → ι . (∀ x61 . x61 ∈ int ⟶ x60 x61 ∈ int) ⟶ ∀ x61 . x61 ∈ int ⟶ ∀ x62 : ι → ι → ι . (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x62 x63 x64 ∈ int) ⟶ ∀ x63 : ι → ι . (∀ x64 . x64 ∈ int ⟶ x63 x64 ∈ int) ⟶ ∀ x64 : ι → ι . (∀ x65 . x65 ∈ int ⟶ x64 x65 ∈ int) ⟶ (∀ x65 . x65 ∈ int ⟶ x0 x65 = add_SNo (add_SNo x65 x65) x65) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x1 x65 x66 = add_SNo x66 x66) ⟶ x2 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x3 x65 x66 = If_i (SNoLe x65 0) x66 (x0 (x3 (add_SNo x65 (minus_SNo 1)) x66))) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x4 x65 x66 = x3 (x1 x65 x66) x2) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x5 x65 x66 = add_SNo (x4 x65 x66) (mul_SNo 2 (mul_SNo 2 (add_SNo x65 x65)))) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x6 x65 x66 = x66) ⟶ x7 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x8 x65 x66 = If_i (SNoLe x65 0) x66 (x5 (x8 (add_SNo x65 (minus_SNo 1)) x66) x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x9 x65 x66 = x8 (x6 x65 x66) x7) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x10 x65 x66 = mul_SNo (add_SNo 2 x66) x65) ⟶ x11 = 2 ⟶ (∀ x65 . x65 ∈ int ⟶ x12 x65 = x65) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x13 x65 x66 = If_i (SNoLe x65 0) x66 (x10 (x13 (add_SNo x65 (minus_SNo 1)) x66) x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ x14 x65 = x13 x11 (x12 x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x15 x65 x66 = add_SNo (x9 x65 x66) (x14 x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x16 x65 x66 = x66) ⟶ x17 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x18 x65 x66 = If_i (SNoLe x65 0) x66 (x15 (x18 (add_SNo x65 (minus_SNo 1)) x66) x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x19 x65 x66 = x18 (x16 x65 x66) x17) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x20 x65 x66 = add_SNo (add_SNo (x19 x65 x66) (mul_SNo 2 (add_SNo (add_SNo x65 x65) x65))) x65) ⟶ (∀ x65 . x65 ∈ int ⟶ x21 x65 = x65) ⟶ x22 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x23 x65 x66 = If_i (SNoLe x65 0) x66 (x20 (x23 (add_SNo x65 (minus_SNo 1)) x66) x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ x24 x65 = x23 (x21 x65) x22) ⟶ (∀ x65 . x65 ∈ int ⟶ x25 x65 = x24 x65) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x26 x65 x66 = add_SNo (add_SNo (add_SNo x65 x65) x65) x66) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x27 x65 x66 = add_SNo x66 x66) ⟶ (∀ x65 . x65 ∈ int ⟶ x28 x65 = x65) ⟶ x29 = 1 ⟶ x30 = 2 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ ∀ x67 . x67 ∈ int ⟶ x31 x65 x66 x67 = If_i (SNoLe x65 0) x66 (x26 (x31 (add_SNo x65 (minus_SNo 1)) x66 x67) (x32 (add_SNo x65 (minus_SNo 1)) x66 x67))) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ ∀ x67 . x67 ∈ int ⟶ x32 x65 x66 x67 = If_i (SNoLe x65 0) x67 (x27 (x31 (add_SNo x65 (minus_SNo 1)) x66 x67) (x32 (add_SNo x65 (minus_SNo 1)) x66 x67))) ⟶ (∀ x65 . x65 ∈ int ⟶ x33 x65 = x31 (x28 x65) x29 x30) ⟶ (∀ x65 . x65 ∈ int ⟶ x34 x65 = mul_SNo x65 x65) ⟶ x35 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ x36 x65 = add_SNo x65 x65) ⟶ (∀ x65 . x65 ∈ int ⟶ x37 x65 = x65) ⟶ x38 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x39 x65 x66 = If_i (SNoLe x65 0) x66 (x36 (x39 (add_SNo x65 (minus_SNo 1)) x66))) ⟶ (∀ x65 . x65 ∈ int ⟶ x40 x65 = x39 (x37 x65) x38) ⟶ (∀ x65 . x65 ∈ int ⟶ x41 x65 = x40 x65) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x42 x65 x66 = If_i (SNoLe x65 0) x66 (x34 (x42 (add_SNo x65 (minus_SNo 1)) x66))) ⟶ (∀ x65 . x65 ∈ int ⟶ x43 x65 = x42 x35 (x41 x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ x44 x65 = mul_SNo (x33 x65) (x43 x65)) ⟶ x45 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x46 x65 x66 = x66) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x47 x65 x66 = If_i (SNoLe x65 0) x66 (x44 (x47 (add_SNo x65 (minus_SNo 1)) x66))) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x48 x65 x66 = x47 x45 (x46 x65 x66)) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x49 x65 x66 = add_SNo (add_SNo (x48 x65 x66) (mul_SNo 2 (add_SNo (add_SNo x65 x65) x65))) x65) ⟶ (∀ x65 . x65 ∈ int ⟶ x50 x65 = x65) ⟶ x51 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x52 x65 x66 = If_i (SNoLe x65 0) x66 (x49 (x52 (add_SNo x65 (minus_SNo 1)) x66) x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ x53 x65 = x52 (x50 x65) x51) ⟶ (∀ x65 . x65 ∈ int ⟶ x54 x65 = x53 x65) ⟶ x55 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x56 x65 x66 = x66) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x57 x65 x66 = If_i (SNoLe x65 0) x66 (x54 (x57 (add_SNo x65 (minus_SNo 1)) x66))) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x58 x65 x66 = x57 x55 (x56 x65 x66)) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x59 x65 x66 = add_SNo (add_SNo (x58 x65 x66) x65) (mul_SNo (mul_SNo (add_SNo x65 x65) 2) 2)) ⟶ (∀ x65 . x65 ∈ int ⟶ x60 x65 = x65) ⟶ x61 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x62 x65 x66 = If_i (SNoLe x65 0) x66 (x59 (x62 (add_SNo x65 (minus_SNo 1)) x66) x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ x63 x65 = x62 (x60 x65) x61) ⟶ (∀ x65 . x65 ∈ int ⟶ x64 x65 = x63 x65) ⟶ ∀ x65 . x65 ∈ int ⟶ SNoLe 0 x65 ⟶ x25 x65 = x64 x65
Conjecture 72e97..^A28218 : ∀ x0 : ι → ι → ι . (∀ x1 . x1 ∈ int ⟶ ∀ x2 . x2 ∈ int ⟶ x0 x1 x2 ∈ int) ⟶ ∀ x1 : ι → ι → ι . (∀ x2 . x2 ∈ int ⟶ ∀ x3 . x3 ∈ int ⟶ x1 x2 x3 ∈ int) ⟶ ∀ x2 : ι → ι . (∀ x3 . x3 ∈ int ⟶ x2 x3 ∈ int) ⟶ ∀ x3 . x3 ∈ int ⟶ ∀ x4 . x4 ∈ int ⟶ ∀ x5 : ι → ι → ι → ι . (∀ x6 . x6 ∈ int ⟶ ∀ x7 . x7 ∈ int ⟶ ∀ x8 . x8 ∈ int ⟶ x5 x6 x7 x8 ∈ int) ⟶ ∀ x6 : ι → ι → ι → ι . (∀ x7 . x7 ∈ int ⟶ ∀ x8 . x8 ∈ int ⟶ ∀ x9 . x9 ∈ int ⟶ x6 x7 x8 x9 ∈ int) ⟶ ∀ x7 : ι → ι . (∀ x8 . x8 ∈ int ⟶ x7 x8 ∈ int) ⟶ ∀ x8 : ι → ι . (∀ x9 . x9 ∈ int ⟶ x8 x9 ∈ int) ⟶ ∀ x9 : ι → ι . (∀ x10 . x10 ∈ int ⟶ x9 x10 ∈ int) ⟶ ∀ x10 . x10 ∈ int ⟶ ∀ x11 : ι → ι → ι . (∀ x12 . x12 ∈ int ⟶ ∀ x13 . x13 ∈ int ⟶ x11 x12 x13 ∈ int) ⟶ ∀ x12 : ι → ι . (∀ x13 . x13 ∈ int ⟶ x12 x13 ∈ int) ⟶ ∀ x13 : ι → ι . (∀ x14 . x14 ∈ int ⟶ x13 x14 ∈ int) ⟶ ∀ x14 . x14 ∈ int ⟶ ∀ x15 : ι → ι → ι . (∀ x16 . x16 ∈ int ⟶ ∀ x17 . x17 ∈ int ⟶ x15 x16 x17 ∈ int) ⟶ ∀ x16 : ι → ι → ι . (∀ x17 . x17 ∈ int ⟶ ∀ x18 . x18 ∈ int ⟶ x16 x17 x18 ∈ int) ⟶ ∀ x17 : ι → ι → ι . (∀ x18 . x18 ∈ int ⟶ ∀ x19 . x19 ∈ int ⟶ x17 x18 x19 ∈ int) ⟶ ∀ x18 : ι → ι → ι . (∀ x19 . x19 ∈ int ⟶ ∀ x20 . x20 ∈ int ⟶ x18 x19 x20 ∈ int) ⟶ ∀ x19 : ι → ι . (∀ x20 . x20 ∈ int ⟶ x19 x20 ∈ int) ⟶ ∀ x20 . x20 ∈ int ⟶ ∀ x21 : ι → ι → ι . (∀ x22 . x22 ∈ int ⟶ ∀ x23 . x23 ∈ int ⟶ x21 x22 x23 ∈ int) ⟶ ∀ x22 : ι → ι . (∀ x23 . x23 ∈ int ⟶ x22 x23 ∈ int) ⟶ ∀ x23 : ι → ι . (∀ x24 . x24 ∈ int ⟶ x23 x24 ∈ int) ⟶ ∀ x24 : ι → ι → ι . (∀ x25 . x25 ∈ int ⟶ ∀ x26 . x26 ∈ int ⟶ x24 x25 x26 ∈ int) ⟶ ∀ x25 : ι → ι → ι . (∀ x26 . x26 ∈ int ⟶ ∀ x27 . x27 ∈ int ⟶ x25 x26 x27 ∈ int) ⟶ ∀ x26 : ι → ι . (∀ x27 . x27 ∈ int ⟶ x26 x27 ∈ int) ⟶ ∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ ∀ x29 : ι → ι → ι → ι . (∀ x30 . x30 ∈ int ⟶ ∀ x31 . x31 ∈ int ⟶ ∀ x32 . x32 ∈ int ⟶ x29 x30 x31 x32 ∈ int) ⟶ ∀ x30 : ι → ι → ι → ι . (∀ x31 . x31 ∈ int ⟶ ∀ x32 . x32 ∈ int ⟶ ∀ x33 . x33 ∈ int ⟶ x30 x31 x32 x33 ∈ int) ⟶ ∀ x31 : ι → ι . (∀ x32 . x32 ∈ int ⟶ x31 x32 ∈ int) ⟶ ∀ x32 : ι → ι → ι . (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x32 x33 x34 ∈ int) ⟶ ∀ x33 : ι → ι → ι . (∀ x34 . x34 ∈ int ⟶ ∀ x35 . x35 ∈ int ⟶ x33 x34 x35 ∈ int) ⟶ ∀ x34 : ι → ι . (∀ x35 . x35 ∈ int ⟶ x34 x35 ∈ int) ⟶ ∀ x35 . x35 ∈ int ⟶ ∀ x36 . x36 ∈ int ⟶ ∀ x37 : ι → ι → ι → ι . (∀ x38 . x38 ∈ int ⟶ ∀ x39 . x39 ∈ int ⟶ ∀ x40 . x40 ∈ int ⟶ x37 x38 x39 x40 ∈ int) ⟶ ∀ x38 : ι → ι → ι → ι . (∀ x39 . x39 ∈ int ⟶ ∀ x40 . x40 ∈ int ⟶ ∀ x41 . x41 ∈ int ⟶ x38 x39 x40 x41 ∈ int) ⟶ ∀ x39 : ι → ι . (∀ x40 . x40 ∈ int ⟶ x39 x40 ∈ int) ⟶ ∀ x40 : ι → ι . (∀ x41 . x41 ∈ int ⟶ x40 x41 ∈ int) ⟶ ∀ x41 . x41 ∈ int ⟶ ∀ x42 : ι → ι → ι . (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x42 x43 x44 ∈ int) ⟶ ∀ x43 : ι → ι → ι . (∀ x44 . x44 ∈ int ⟶ ∀ x45 . x45 ∈ int ⟶ x43 x44 x45 ∈ int) ⟶ ∀ x44 : ι → ι → ι . (∀ x45 . x45 ∈ int ⟶ ∀ x46 . x46 ∈ int ⟶ x44 x45 x46 ∈ int) ⟶ ∀ x45 : ι → ι → ι . (∀ x46 . x46 ∈ int ⟶ ∀ x47 . x47 ∈ int ⟶ x45 x46 x47 ∈ int) ⟶ ∀ x46 : ι → ι . (∀ x47 . x47 ∈ int ⟶ x46 x47 ∈ int) ⟶ ∀ x47 . x47 ∈ int ⟶ ∀ x48 : ι → ι → ι . (∀ x49 . x49 ∈ int ⟶ ∀ x50 . x50 ∈ int ⟶ x48 x49 x50 ∈ int) ⟶ ∀ x49 : ι → ι . (∀ x50 . x50 ∈ int ⟶ x49 x50 ∈ int) ⟶ ∀ x50 : ι → ι . (∀ x51 . x51 ∈ int ⟶ x50 x51 ∈ int) ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x0 x51 x52 = add_SNo (add_SNo (mul_SNo 2 (add_SNo (mul_SNo x52 x52) x51)) (minus_SNo x52)) x51) ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x1 x51 x52 = add_SNo x52 x52) ⟶ (∀ x51 . x51 ∈ int ⟶ x2 x51 = x51) ⟶ x3 = 1 ⟶ x4 = 2 ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ ∀ x53 . x53 ∈ int ⟶ x5 x51 x52 x53 = If_i (SNoLe x51 0) x52 (x0 (x5 (add_SNo x51 (minus_SNo 1)) x52 x53) (x6 (add_SNo x51 (minus_SNo 1)) x52 x53))) ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ ∀ x53 . x53 ∈ int ⟶ x6 x51 x52 x53 = If_i (SNoLe x51 0) x53 (x1 (x5 (add_SNo x51 (minus_SNo 1)) x52 x53) (x6 (add_SNo x51 (minus_SNo 1)) x52 x53))) ⟶ (∀ x51 . x51 ∈ int ⟶ x7 x51 = x5 (x2 x51) x3 x4) ⟶ (∀ x51 . x51 ∈ int ⟶ x8 x51 = add_SNo (add_SNo x51 x51) x51) ⟶ (∀ x51 . x51 ∈ int ⟶ x9 x51 = x51) ⟶ x10 = 1 ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x11 x51 x52 = If_i (SNoLe x51 0) x52 (x8 (x11 (add_SNo x51 (minus_SNo 1)) x52))) ⟶ (∀ x51 . x51 ∈ int ⟶ x12 x51 = x11 (x9 x51) x10) ⟶ (∀ x51 . x51 ∈ int ⟶ x13 x51 = mul_SNo (x7 x51) (x12 x51)) ⟶ x14 = 1 ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x15 x51 x52 = x52) ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x16 x51 x52 = If_i (SNoLe x51 0) x52 (x13 (x16 (add_SNo x51 (minus_SNo 1)) x52))) ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x17 x51 x52 = x16 x14 (x15 x51 x52)) ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x18 x51 x52 = add_SNo (add_SNo (x17 x51 x52) (mul_SNo 2 (add_SNo (mul_SNo 2 (add_SNo x51 x51)) x51))) x51) ⟶ (∀ x51 . x51 ∈ int ⟶ x19 x51 = x51) ⟶ x20 = 1 ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x21 x51 x52 = If_i (SNoLe x51 0) x52 (x18 (x21 (add_SNo x51 (minus_SNo 1)) x52) x51)) ⟶ (∀ x51 . x51 ∈ int ⟶ x22 x51 = x21 (x19 x51) x20) ⟶ (∀ x51 . x51 ∈ int ⟶ x23 x51 = x22 x51) ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x24 x51 x52 = add_SNo (add_SNo (mul_SNo 2 (add_SNo (mul_SNo x52 x52) x51)) (minus_SNo x52)) x51) ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x25 x51 x52 = add_SNo x52 x52) ⟶ (∀ x51 . x51 ∈ int ⟶ x26 x51 = x51) ⟶ x27 = 1 ⟶ x28 = 2 ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ ∀ x53 . x53 ∈ int ⟶ x29 x51 x52 x53 = If_i (SNoLe x51 0) x52 (x24 (x29 (add_SNo x51 (minus_SNo 1)) x52 x53) (x30 (add_SNo x51 (minus_SNo 1)) x52 x53))) ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ ∀ x53 . x53 ∈ int ⟶ x30 x51 x52 x53 = If_i (SNoLe x51 0) x53 (x25 (x29 (add_SNo x51 (minus_SNo 1)) x52 x53) (x30 (add_SNo x51 (minus_SNo 1)) x52 x53))) ⟶ (∀ x51 . x51 ∈ int ⟶ x31 x51 = x29 (x26 x51) x27 x28) ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x32 x51 x52 = mul_SNo x51 x52) ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x33 x51 x52 = x52) ⟶ (∀ x51 . x51 ∈ int ⟶ x34 x51 = x51) ⟶ x35 = 1 ⟶ x36 = add_SNo 1 2 ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ ∀ x53 . x53 ∈ int ⟶ x37 x51 x52 x53 = If_i (SNoLe x51 0) x52 (x32 (x37 (add_SNo x51 (minus_SNo 1)) x52 x53) (x38 (add_SNo x51 (minus_SNo 1)) x52 x53))) ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ ∀ x53 . x53 ∈ int ⟶ x38 x51 x52 x53 = If_i (SNoLe x51 0) x53 (x33 (x37 (add_SNo x51 (minus_SNo 1)) x52 x53) (x38 (add_SNo x51 (minus_SNo 1)) x52 x53))) ⟶ (∀ x51 . x51 ∈ int ⟶ x39 x51 = x37 (x34 x51) x35 x36) ⟶ (∀ x51 . x51 ∈ int ⟶ x40 x51 = mul_SNo (x31 x51) (x39 x51)) ⟶ x41 = 1 ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x42 x51 x52 = x52) ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x43 x51 x52 = If_i (SNoLe x51 0) x52 (x40 (x43 (add_SNo x51 (minus_SNo 1)) x52))) ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x44 x51 x52 = x43 x41 (x42 x51 x52)) ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x45 x51 x52 = add_SNo (add_SNo (x44 x51 x52) (mul_SNo 2 (add_SNo (mul_SNo 2 (add_SNo x51 x51)) x51))) x51) ⟶ (∀ x51 . x51 ∈ int ⟶ x46 x51 = x51) ⟶ x47 = 1 ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x48 x51 x52 = If_i (SNoLe x51 0) x52 (x45 (x48 (add_SNo x51 (minus_SNo 1)) x52) x51)) ⟶ (∀ x51 . x51 ∈ int ⟶ x49 x51 = x48 (x46 x51) x47) ⟶ (∀ x51 . x51 ∈ int ⟶ x50 x51 = x49 x51) ⟶ ∀ x51 . x51 ∈ int ⟶ SNoLe 0 x51 ⟶ x23 x51 = x50 x51
Conjecture a644d..^A28209 : ∀ x0 : ι → ι . (∀ x1 . x1 ∈ int ⟶ x0 x1 ∈ int) ⟶ ∀ x1 : ι → ι . (∀ x2 . x2 ∈ int ⟶ x1 x2 ∈ int) ⟶ ∀ x2 : ι → ι . (∀ x3 . x3 ∈ int ⟶ x2 x3 ∈ int) ⟶ ∀ x3 : ι → ι . (∀ x4 . x4 ∈ int ⟶ x3 x4 ∈ int) ⟶ ∀ x4 . x4 ∈ int ⟶ ∀ x5 : ι → ι → ι . (∀ x6 . x6 ∈ int ⟶ ∀ x7 . x7 ∈ int ⟶ x5 x6 x7 ∈ int) ⟶ ∀ x6 : ι → ι . (∀ x7 . x7 ∈ int ⟶ x6 x7 ∈ int) ⟶ ∀ x7 : ι → ι . (∀ x8 . x8 ∈ int ⟶ x7 x8 ∈ int) ⟶ ∀ x8 : ι → ι → ι . (∀ x9 . x9 ∈ int ⟶ ∀ x10 . x10 ∈ int ⟶ x8 x9 x10 ∈ int) ⟶ ∀ x9 : ι → ι . (∀ x10 . x10 ∈ int ⟶ x9 x10 ∈ int) ⟶ ∀ x10 : ι → ι . (∀ x11 . x11 ∈ int ⟶ x10 x11 ∈ int) ⟶ ∀ x11 . x11 ∈ int ⟶ ∀ x12 : ι → ι → ι . (∀ x13 . x13 ∈ int ⟶ ∀ x14 . x14 ∈ int ⟶ x12 x13 x14 ∈ int) ⟶ ∀ x13 : ι → ι → ι . (∀ x14 . x14 ∈ int ⟶ ∀ x15 . x15 ∈ int ⟶ x13 x14 x15 ∈ int) ⟶ ∀ x14 : ι → ι → ι . (∀ x15 . x15 ∈ int ⟶ ∀ x16 . x16 ∈ int ⟶ x14 x15 x16 ∈ int) ⟶ ∀ x15 : ι → ι → ι . (∀ x16 . x16 ∈ int ⟶ ∀ x17 . x17 ∈ int ⟶ x15 x16 x17 ∈ int) ⟶ ∀ x16 . x16 ∈ int ⟶ ∀ x17 : ι → ι . (∀ x18 . x18 ∈ int ⟶ x17 x18 ∈ int) ⟶ ∀ x18 : ι → ι → ι . (∀ x19 . x19 ∈ int ⟶ ∀ x20 . x20 ∈ int ⟶ x18 x19 x20 ∈ int) ⟶ ∀ x19 : ι → ι . (∀ x20 . x20 ∈ int ⟶ x19 x20 ∈ int) ⟶ ∀ x20 : ι → ι → ι . (∀ x21 . x21 ∈ int ⟶ ∀ x22 . x22 ∈ int ⟶ x20 x21 x22 ∈ int) ⟶ ∀ x21 : ι → ι → ι . (∀ x22 . x22 ∈ int ⟶ ∀ x23 . x23 ∈ int ⟶ x21 x22 x23 ∈ int) ⟶ ∀ x22 . x22 ∈ int ⟶ ∀ x23 : ι → ι → ι . (∀ x24 . x24 ∈ int ⟶ ∀ x25 . x25 ∈ int ⟶ x23 x24 x25 ∈ int) ⟶ ∀ x24 : ι → ι → ι . (∀ x25 . x25 ∈ int ⟶ ∀ x26 . x26 ∈ int ⟶ x24 x25 x26 ∈ int) ⟶ ∀ x25 : ι → ι → ι . (∀ x26 . x26 ∈ int ⟶ ∀ x27 . x27 ∈ int ⟶ x25 x26 x27 ∈ int) ⟶ ∀ x26 : ι → ι . (∀ x27 . x27 ∈ int ⟶ x26 x27 ∈ int) ⟶ ∀ x27 . x27 ∈ int ⟶ ∀ x28 : ι → ι → ι . (∀ x29 . x29 ∈ int ⟶ ∀ x30 . x30 ∈ int ⟶ x28 x29 x30 ∈ int) ⟶ ∀ x29 : ι → ι . (∀ x30 . x30 ∈ int ⟶ x29 x30 ∈ int) ⟶ ∀ x30 : ι → ι . (∀ x31 . x31 ∈ int ⟶ x30 x31 ∈ int) ⟶ ∀ x31 : ι → ι . (∀ x32 . x32 ∈ int ⟶ x31 x32 ∈ int) ⟶ ∀ x32 : ι → ι . (∀ x33 . x33 ∈ int ⟶ x32 x33 ∈ int) ⟶ ∀ x33 . x33 ∈ int ⟶ ∀ x34 : ι → ι → ι . (∀ x35 . x35 ∈ int ⟶ ∀ x36 . x36 ∈ int ⟶ x34 x35 x36 ∈ int) ⟶ ∀ x35 : ι → ι . (∀ x36 . x36 ∈ int ⟶ x35 x36 ∈ int) ⟶ ∀ x36 : ι → ι → ι . (∀ x37 . x37 ∈ int ⟶ ∀ x38 . x38 ∈ int ⟶ x36 x37 x38 ∈ int) ⟶ ∀ x37 : ι → ι → ι . (∀ x38 . x38 ∈ int ⟶ ∀ x39 . x39 ∈ int ⟶ x37 x38 x39 ∈ int) ⟶ ∀ x38 : ι → ι . (∀ x39 . x39 ∈ int ⟶ x38 x39 ∈ int) ⟶ ∀ x39 . x39 ∈ int ⟶ ∀ x40 . x40 ∈ int ⟶ ∀ x41 : ι → ι → ι → ι . (∀ x42 . x42 ∈ int ⟶ ∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x41 x42 x43 x44 ∈ int) ⟶ ∀ x42 : ι → ι → ι → ι . (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ ∀ x45 . x45 ∈ int ⟶ x42 x43 x44 x45 ∈ int) ⟶ ∀ x43 : ι → ι . (∀ x44 . x44 ∈ int ⟶ x43 x44 ∈ int) ⟶ ∀ x44 : ι → ι . (∀ x45 . x45 ∈ int ⟶ x44 x45 ∈ int) ⟶ ∀ x45 . x45 ∈ int ⟶ ∀ x46 : ι → ι → ι . (∀ x47 . x47 ∈ int ⟶ ∀ x48 . x48 ∈ int ⟶ x46 x47 x48 ∈ int) ⟶ ∀ x47 : ι → ι → ι . (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x47 x48 x49 ∈ int) ⟶ ∀ x48 : ι → ι → ι . (∀ x49 . x49 ∈ int ⟶ ∀ x50 . x50 ∈ int ⟶ x48 x49 x50 ∈ int) ⟶ ∀ x49 : ι → ι → ι . (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x49 x50 x51 ∈ int) ⟶ ∀ x50 : ι → ι . (∀ x51 . x51 ∈ int ⟶ x50 x51 ∈ int) ⟶ ∀ x51 . x51 ∈ int ⟶ ∀ x52 : ι → ι → ι . (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x52 x53 x54 ∈ int) ⟶ ∀ x53 : ι → ι . (∀ x54 . x54 ∈ int ⟶ x53 x54 ∈ int) ⟶ ∀ x54 : ι → ι . (∀ x55 . x55 ∈ int ⟶ x54 x55 ∈ int) ⟶ ∀ x55 . x55 ∈ int ⟶ ∀ x56 : ι → ι → ι . (∀ x57 . x57 ∈ int ⟶ ∀ x58 . x58 ∈ int ⟶ x56 x57 x58 ∈ int) ⟶ ∀ x57 : ι → ι → ι . (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x57 x58 x59 ∈ int) ⟶ ∀ x58 : ι → ι → ι . (∀ x59 . x59 ∈ int ⟶ ∀ x60 . x60 ∈ int ⟶ x58 x59 x60 ∈ int) ⟶ ∀ x59 : ι → ι → ι . (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x59 x60 x61 ∈ int) ⟶ ∀ x60 : ι → ι . (∀ x61 . x61 ∈ int ⟶ x60 x61 ∈ int) ⟶ ∀ x61 . x61 ∈ int ⟶ ∀ x62 : ι → ι → ι . (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x62 x63 x64 ∈ int) ⟶ ∀ x63 : ι → ι . (∀ x64 . x64 ∈ int ⟶ x63 x64 ∈ int) ⟶ ∀ x64 : ι → ι . (∀ x65 . x65 ∈ int ⟶ x64 x65 ∈ int) ⟶ (∀ x65 . x65 ∈ int ⟶ x0 x65 = mul_SNo 2 (add_SNo (add_SNo x65 x65) x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ x1 x65 = x65) ⟶ (∀ x65 . x65 ∈ int ⟶ x2 x65 = add_SNo x65 x65) ⟶ (∀ x65 . x65 ∈ int ⟶ x3 x65 = x65) ⟶ x4 = 2 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x5 x65 x66 = If_i (SNoLe x65 0) x66 (x2 (x5 (add_SNo x65 (minus_SNo 1)) x66))) ⟶ (∀ x65 . x65 ∈ int ⟶ x6 x65 = x5 (x3 x65) x4) ⟶ (∀ x65 . x65 ∈ int ⟶ x7 x65 = add_SNo (x6 x65) (minus_SNo 1)) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x8 x65 x66 = If_i (SNoLe x65 0) x66 (x0 (x8 (add_SNo x65 (minus_SNo 1)) x66))) ⟶ (∀ x65 . x65 ∈ int ⟶ x9 x65 = x8 (x1 x65) (x7 x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ x10 x65 = x9 x65) ⟶ x11 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x12 x65 x66 = x66) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x13 x65 x66 = If_i (SNoLe x65 0) x66 (x10 (x13 (add_SNo x65 (minus_SNo 1)) x66))) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x14 x65 x66 = x13 x11 (x12 x65 x66)) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x15 x65 x66 = mul_SNo (add_SNo 2 x66) x65) ⟶ x16 = 2 ⟶ (∀ x65 . x65 ∈ int ⟶ x17 x65 = x65) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x18 x65 x66 = If_i (SNoLe x65 0) x66 (x15 (x18 (add_SNo x65 (minus_SNo 1)) x66) x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ x19 x65 = x18 x16 (x17 x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x20 x65 x66 = add_SNo (x14 x65 x66) (add_SNo (x19 x65) (minus_SNo x65))) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x21 x65 x66 = x66) ⟶ x22 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x23 x65 x66 = If_i (SNoLe x65 0) x66 (x20 (x23 (add_SNo x65 (minus_SNo 1)) x66) x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x24 x65 x66 = x23 (x21 x65 x66) x22) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x25 x65 x66 = add_SNo (add_SNo (x24 x65 x66) (mul_SNo 2 (add_SNo (add_SNo x65 x65) x65))) x65) ⟶ (∀ x65 . x65 ∈ int ⟶ x26 x65 = x65) ⟶ x27 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x28 x65 x66 = If_i (SNoLe x65 0) x66 (x25 (x28 (add_SNo x65 (minus_SNo 1)) x66) x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ x29 x65 = x28 (x26 x65) x27) ⟶ (∀ x65 . x65 ∈ int ⟶ x30 x65 = x29 x65) ⟶ (∀ x65 . x65 ∈ int ⟶ x31 x65 = add_SNo x65 x65) ⟶ (∀ x65 . x65 ∈ int ⟶ x32 x65 = x65) ⟶ x33 = 2 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x34 x65 x66 = If_i (SNoLe x65 0) x66 (x31 (x34 (add_SNo x65 (minus_SNo 1)) x66))) ⟶ (∀ x65 . x65 ∈ int ⟶ x35 x65 = x34 (x32 x65) x33) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x36 x65 x66 = mul_SNo x65 x66) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x37 x65 x66 = x66) ⟶ (∀ x65 . x65 ∈ int ⟶ x38 x65 = x65) ⟶ x39 = 1 ⟶ x40 = add_SNo 2 (add_SNo 2 2) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ ∀ x67 . x67 ∈ int ⟶ x41 x65 x66 x67 = If_i (SNoLe x65 0) x66 (x36 (x41 (add_SNo x65 (minus_SNo 1)) x66 x67) (x42 (add_SNo x65 (minus_SNo 1)) x66 x67))) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ ∀ x67 . x67 ∈ int ⟶ x42 x65 x66 x67 = If_i (SNoLe x65 0) x67 (x37 (x41 (add_SNo x65 (minus_SNo 1)) x66 x67) (x42 (add_SNo x65 (minus_SNo 1)) x66 x67))) ⟶ (∀ x65 . x65 ∈ int ⟶ x43 x65 = x41 (x38 x65) x39 x40) ⟶ (∀ x65 . x65 ∈ int ⟶ x44 x65 = mul_SNo (add_SNo (x35 x65) (minus_SNo 1)) (x43 x65)) ⟶ x45 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x46 x65 x66 = x66) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x47 x65 x66 = If_i (SNoLe x65 0) x66 (x44 (x47 (add_SNo x65 (minus_SNo 1)) x66))) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x48 x65 x66 = x47 x45 (x46 x65 x66)) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x49 x65 x66 = add_SNo (add_SNo (x48 x65 x66) (mul_SNo 2 (add_SNo (add_SNo x65 x65) x65))) x65) ⟶ (∀ x65 . x65 ∈ int ⟶ x50 x65 = x65) ⟶ x51 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x52 x65 x66 = If_i (SNoLe x65 0) x66 (x49 (x52 (add_SNo x65 (minus_SNo 1)) x66) x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ x53 x65 = x52 (x50 x65) x51) ⟶ (∀ x65 . x65 ∈ int ⟶ x54 x65 = x53 x65) ⟶ x55 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x56 x65 x66 = x66) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x57 x65 x66 = If_i (SNoLe x65 0) x66 (x54 (x57 (add_SNo x65 (minus_SNo 1)) x66))) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x58 x65 x66 = x57 x55 (x56 x65 x66)) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x59 x65 x66 = add_SNo (add_SNo (x58 x65 x66) x65) (mul_SNo (add_SNo (mul_SNo (mul_SNo x65 2) 2) x65) 2)) ⟶ (∀ x65 . x65 ∈ int ⟶ x60 x65 = x65) ⟶ x61 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x62 x65 x66 = If_i (SNoLe x65 0) x66 (x59 (x62 (add_SNo x65 (minus_SNo 1)) x66) x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ x63 x65 = x62 (x60 x65) x61) ⟶ (∀ x65 . x65 ∈ int ⟶ x64 x65 = x63 x65) ⟶ ∀ x65 . x65 ∈ int ⟶ SNoLe 0 x65 ⟶ x30 x65 = x64 x65
Conjecture 5296c..^A28204 : ∀ x0 : ι → ι . (∀ x1 . x1 ∈ int ⟶ x0 x1 ∈ int) ⟶ ∀ x1 : ι → ι → ι . (∀ x2 . x2 ∈ int ⟶ ∀ x3 . x3 ∈ int ⟶ x1 x2 x3 ∈ int) ⟶ ∀ x2 . x2 ∈ int ⟶ ∀ x3 : ι → ι → ι . (∀ x4 . x4 ∈ int ⟶ ∀ x5 . x5 ∈ int ⟶ x3 x4 x5 ∈ int) ⟶ ∀ x4 : ι → ι → ι . (∀ x5 . x5 ∈ int ⟶ ∀ x6 . x6 ∈ int ⟶ x4 x5 x6 ∈ int) ⟶ ∀ x5 : ι → ι → ι . (∀ x6 . x6 ∈ int ⟶ ∀ x7 . x7 ∈ int ⟶ x5 x6 x7 ∈ int) ⟶ ∀ x6 : ι → ι → ι . (∀ x7 . x7 ∈ int ⟶ ∀ x8 . x8 ∈ int ⟶ x6 x7 x8 ∈ int) ⟶ ∀ x7 . x7 ∈ int ⟶ ∀ x8 : ι → ι → ι . (∀ x9 . x9 ∈ int ⟶ ∀ x10 . x10 ∈ int ⟶ x8 x9 x10 ∈ int) ⟶ ∀ x9 : ι → ι → ι . (∀ x10 . x10 ∈ int ⟶ ∀ x11 . x11 ∈ int ⟶ x9 x10 x11 ∈ int) ⟶ ∀ x10 : ι → ι → ι . (∀ x11 . x11 ∈ int ⟶ ∀ x12 . x12 ∈ int ⟶ x10 x11 x12 ∈ int) ⟶ ∀ x11 : ι → ι → ι . (∀ x12 . x12 ∈ int ⟶ ∀ x13 . x13 ∈ int ⟶ x11 x12 x13 ∈ int) ⟶ ∀ x12 . x12 ∈ int ⟶ ∀ x13 : ι → ι → ι . (∀ x14 . x14 ∈ int ⟶ ∀ x15 . x15 ∈ int ⟶ x13 x14 x15 ∈ int) ⟶ ∀ x14 : ι → ι → ι . (∀ x15 . x15 ∈ int ⟶ ∀ x16 . x16 ∈ int ⟶ x14 x15 x16 ∈ int) ⟶ ∀ x15 : ι → ι → ι . (∀ x16 . x16 ∈ int ⟶ ∀ x17 . x17 ∈ int ⟶ x15 x16 x17 ∈ int) ⟶ ∀ x16 : ι → ι . (∀ x17 . x17 ∈ int ⟶ x16 x17 ∈ int) ⟶ ∀ x17 . x17 ∈ int ⟶ ∀ x18 : ι → ι → ι . (∀ x19 . x19 ∈ int ⟶ ∀ x20 . x20 ∈ int ⟶ x18 x19 x20 ∈ int) ⟶ ∀ x19 : ι → ι . (∀ x20 . x20 ∈ int ⟶ x19 x20 ∈ int) ⟶ ∀ x20 : ι → ι . (∀ x21 . x21 ∈ int ⟶ x20 x21 ∈ int) ⟶ ∀ x21 : ι → ι → ι . (∀ x22 . x22 ∈ int ⟶ ∀ x23 . x23 ∈ int ⟶ x21 x22 x23 ∈ int) ⟶ ∀ x22 : ι → ι → ι . (∀ x23 . x23 ∈ int ⟶ ∀ x24 . x24 ∈ int ⟶ x22 x23 x24 ∈ int) ⟶ ∀ x23 : ι → ι . (∀ x24 . x24 ∈ int ⟶ x23 x24 ∈ int) ⟶ ∀ x24 . x24 ∈ int ⟶ ∀ x25 . x25 ∈ int ⟶ ∀ x26 : ι → ι → ι → ι . (∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ ∀ x29 . x29 ∈ int ⟶ x26 x27 x28 x29 ∈ int) ⟶ ∀ x27 : ι → ι → ι → ι . (∀ x28 . x28 ∈ int ⟶ ∀ x29 . x29 ∈ int ⟶ ∀ x30 . x30 ∈ int ⟶ x27 x28 x29 x30 ∈ int) ⟶ ∀ x28 : ι → ι . (∀ x29 . x29 ∈ int ⟶ x28 x29 ∈ int) ⟶ ∀ x29 : ι → ι → ι . (∀ x30 . x30 ∈ int ⟶ ∀ x31 . x31 ∈ int ⟶ x29 x30 x31 ∈ int) ⟶ ∀ x30 : ι → ι → ι . (∀ x31 . x31 ∈ int ⟶ ∀ x32 . x32 ∈ int ⟶ x30 x31 x32 ∈ int) ⟶ ∀ x31 : ι → ι . (∀ x32 . x32 ∈ int ⟶ x31 x32 ∈ int) ⟶ ∀ x32 . x32 ∈ int ⟶ ∀ x33 . x33 ∈ int ⟶ ∀ x34 : ι → ι → ι → ι . (∀ x35 . x35 ∈ int ⟶ ∀ x36 . x36 ∈ int ⟶ ∀ x37 . x37 ∈ int ⟶ x34 x35 x36 x37 ∈ int) ⟶ ∀ x35 : ι → ι → ι → ι . (∀ x36 . x36 ∈ int ⟶ ∀ x37 . x37 ∈ int ⟶ ∀ x38 . x38 ∈ int ⟶ x35 x36 x37 x38 ∈ int) ⟶ ∀ x36 : ι → ι . (∀ x37 . x37 ∈ int ⟶ x36 x37 ∈ int) ⟶ ∀ x37 : ι → ι . (∀ x38 . x38 ∈ int ⟶ x37 x38 ∈ int) ⟶ ∀ x38 . x38 ∈ int ⟶ ∀ x39 : ι → ι → ι . (∀ x40 . x40 ∈ int ⟶ ∀ x41 . x41 ∈ int ⟶ x39 x40 x41 ∈ int) ⟶ ∀ x40 : ι → ι → ι . (∀ x41 . x41 ∈ int ⟶ ∀ x42 . x42 ∈ int ⟶ x40 x41 x42 ∈ int) ⟶ ∀ x41 : ι → ι → ι . (∀ x42 . x42 ∈ int ⟶ ∀ x43 . x43 ∈ int ⟶ x41 x42 x43 ∈ int) ⟶ ∀ x42 : ι → ι → ι . (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x42 x43 x44 ∈ int) ⟶ ∀ x43 : ι → ι . (∀ x44 . x44 ∈ int ⟶ x43 x44 ∈ int) ⟶ ∀ x44 . x44 ∈ int ⟶ ∀ x45 : ι → ι → ι . (∀ x46 . x46 ∈ int ⟶ ∀ x47 . x47 ∈ int ⟶ x45 x46 x47 ∈ int) ⟶ ∀ x46 : ι → ι . (∀ x47 . x47 ∈ int ⟶ x46 x47 ∈ int) ⟶ ∀ x47 : ι → ι . (∀ x48 . x48 ∈ int ⟶ x47 x48 ∈ int) ⟶ ∀ x48 . x48 ∈ int ⟶ ∀ x49 : ι → ι → ι . (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x49 x50 x51 ∈ int) ⟶ ∀ x50 : ι → ι → ι . (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x50 x51 x52 ∈ int) ⟶ ∀ x51 : ι → ι → ι . (∀ x52 . x52 ∈ int ⟶ ∀ x53 . x53 ∈ int ⟶ x51 x52 x53 ∈ int) ⟶ ∀ x52 : ι → ι → ι . (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x52 x53 x54 ∈ int) ⟶ ∀ x53 : ι → ι . (∀ x54 . x54 ∈ int ⟶ x53 x54 ∈ int) ⟶ ∀ x54 . x54 ∈ int ⟶ ∀ x55 : ι → ι → ι . (∀ x56 . x56 ∈ int ⟶ ∀ x57 . x57 ∈ int ⟶ x55 x56 x57 ∈ int) ⟶ ∀ x56 : ι → ι . (∀ x57 . x57 ∈ int ⟶ x56 x57 ∈ int) ⟶ ∀ x57 : ι → ι . (∀ x58 . x58 ∈ int ⟶ x57 x58 ∈ int) ⟶ (∀ x58 . x58 ∈ int ⟶ x0 x58 = add_SNo (add_SNo x58 x58) x58) ⟶ (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x1 x58 x59 = add_SNo x59 x59) ⟶ x2 = 1 ⟶ (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x3 x58 x59 = If_i (SNoLe x58 0) x59 (x0 (x3 (add_SNo x58 (minus_SNo 1)) x59))) ⟶ (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x4 x58 x59 = x3 (x1 x58 x59) x2) ⟶ (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x5 x58 x59 = add_SNo (x4 x58 x59) (mul_SNo 2 (add_SNo (add_SNo x58 x58) x58))) ⟶ (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x6 x58 x59 = x59) ⟶ x7 = 1 ⟶ (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x8 x58 x59 = If_i (SNoLe x58 0) x59 (x5 (x8 (add_SNo x58 (minus_SNo 1)) x59) x58)) ⟶ (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x9 x58 x59 = x8 (x6 x58 x59) x7) ⟶ (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x10 x58 x59 = add_SNo (x9 x58 x59) (mul_SNo 2 (add_SNo (mul_SNo 2 (add_SNo x58 x58)) x58))) ⟶ (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x11 x58 x59 = x59) ⟶ x12 = 1 ⟶ (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x13 x58 x59 = If_i (SNoLe x58 0) x59 (x10 (x13 (add_SNo x58 (minus_SNo 1)) x59) x58)) ⟶ (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x14 x58 x59 = x13 (x11 x58 x59) x12) ⟶ (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x15 x58 x59 = add_SNo (add_SNo (x14 x58 x59) (mul_SNo 2 (add_SNo (add_SNo x58 x58) x58))) x58) ⟶ (∀ x58 . x58 ∈ int ⟶ x16 x58 = x58) ⟶ x17 = 1 ⟶ (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x18 x58 x59 = If_i (SNoLe x58 0) x59 (x15 (x18 (add_SNo x58 (minus_SNo 1)) x59) x58)) ⟶ (∀ x58 . x58 ∈ int ⟶ x19 x58 = x18 (x16 x58) x17) ⟶ (∀ x58 . x58 ∈ int ⟶ x20 x58 = x19 x58) ⟶ (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x21 x58 x59 = add_SNo (add_SNo (add_SNo x58 x58) x58) x59) ⟶ (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x22 x58 x59 = add_SNo x59 x59) ⟶ (∀ x58 . x58 ∈ int ⟶ x23 x58 = x58) ⟶ x24 = 1 ⟶ x25 = 2 ⟶ (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ ∀ x60 . x60 ∈ int ⟶ x26 x58 x59 x60 = If_i (SNoLe x58 0) x59 (x21 (x26 (add_SNo x58 (minus_SNo 1)) x59 x60) (x27 (add_SNo x58 (minus_SNo 1)) x59 x60))) ⟶ (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ ∀ x60 . x60 ∈ int ⟶ x27 x58 x59 x60 = If_i (SNoLe x58 0) x60 (x22 (x26 (add_SNo x58 (minus_SNo 1)) x59 x60) (x27 (add_SNo x58 (minus_SNo 1)) x59 x60))) ⟶ (∀ x58 . x58 ∈ int ⟶ x28 x58 = x26 (x23 x58) x24 x25) ⟶ (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x29 x58 x59 = mul_SNo x58 x59) ⟶ (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x30 x58 x59 = x59) ⟶ (∀ x58 . x58 ∈ int ⟶ x31 x58 = x58) ⟶ x32 = 1 ⟶ x33 = add_SNo 1 2 ⟶ (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ ∀ x60 . x60 ∈ int ⟶ x34 x58 x59 x60 = If_i (SNoLe x58 0) x59 (x29 (x34 (add_SNo x58 (minus_SNo 1)) x59 x60) (x35 (add_SNo x58 (minus_SNo 1)) x59 x60))) ⟶ (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ ∀ x60 . x60 ∈ int ⟶ x35 x58 x59 x60 = If_i (SNoLe x58 0) x60 (x30 (x34 (add_SNo x58 (minus_SNo 1)) x59 x60) (x35 (add_SNo x58 (minus_SNo 1)) x59 x60))) ⟶ (∀ x58 . x58 ∈ int ⟶ x36 x58 = x34 (x31 x58) x32 x33) ⟶ (∀ x58 . x58 ∈ int ⟶ x37 x58 = mul_SNo (x28 x58) (x36 x58)) ⟶ x38 = 1 ⟶ (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x39 x58 x59 = x59) ⟶ (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x40 x58 x59 = If_i (SNoLe x58 0) x59 (x37 (x40 (add_SNo x58 (minus_SNo 1)) x59))) ⟶ (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x41 x58 x59 = x40 x38 (x39 x58 x59)) ⟶ (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x42 x58 x59 = add_SNo (x41 x58 x59) (mul_SNo 2 (add_SNo (mul_SNo 2 (add_SNo x58 x58)) x58))) ⟶ (∀ x58 . x58 ∈ int ⟶ x43 x58 = x58) ⟶ x44 = 1 ⟶ (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x45 x58 x59 = If_i (SNoLe x58 0) x59 (x42 (x45 (add_SNo x58 (minus_SNo 1)) x59) x58)) ⟶ (∀ x58 . x58 ∈ int ⟶ x46 x58 = x45 (x43 x58) x44) ⟶ (∀ x58 . x58 ∈ int ⟶ x47 x58 = x46 x58) ⟶ x48 = 1 ⟶ (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x49 x58 x59 = x59) ⟶ (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x50 x58 x59 = If_i (SNoLe x58 0) x59 (x47 (x50 (add_SNo x58 (minus_SNo 1)) x59))) ⟶ (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x51 x58 x59 = x50 x48 (x49 x58 x59)) ⟶ (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x52 x58 x59 = add_SNo (add_SNo (x51 x58 x59) (mul_SNo 2 (add_SNo (add_SNo x58 x58) x58))) x58) ⟶ (∀ x58 . x58 ∈ int ⟶ x53 x58 = x58) ⟶ x54 = 1 ⟶ (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x55 x58 x59 = If_i (SNoLe x58 0) x59 (x52 (x55 (add_SNo x58 (minus_SNo 1)) x59) x58)) ⟶ (∀ x58 . x58 ∈ int ⟶ x56 x58 = x55 (x53 x58) x54) ⟶ (∀ x58 . x58 ∈ int ⟶ x57 x58 = x56 x58) ⟶ ∀ x58 . x58 ∈ int ⟶ SNoLe 0 x58 ⟶ x20 x58 = x57 x58
Conjecture 1e6dd..^A28201 : ∀ x0 : ι → ι → ι . (∀ x1 . x1 ∈ int ⟶ ∀ x2 . x2 ∈ int ⟶ x0 x1 x2 ∈ int) ⟶ ∀ x1 : ι → ι → ι . (∀ x2 . x2 ∈ int ⟶ ∀ x3 . x3 ∈ int ⟶ x1 x2 x3 ∈ int) ⟶ ∀ x2 : ι → ι → ι . (∀ x3 . x3 ∈ int ⟶ ∀ x4 . x4 ∈ int ⟶ x2 x3 x4 ∈ int) ⟶ ∀ x3 . x3 ∈ int ⟶ ∀ x4 . x4 ∈ int ⟶ ∀ x5 : ι → ι → ι → ι . (∀ x6 . x6 ∈ int ⟶ ∀ x7 . x7 ∈ int ⟶ ∀ x8 . x8 ∈ int ⟶ x5 x6 x7 x8 ∈ int) ⟶ ∀ x6 : ι → ι → ι → ι . (∀ x7 . x7 ∈ int ⟶ ∀ x8 . x8 ∈ int ⟶ ∀ x9 . x9 ∈ int ⟶ x6 x7 x8 x9 ∈ int) ⟶ ∀ x7 : ι → ι → ι . (∀ x8 . x8 ∈ int ⟶ ∀ x9 . x9 ∈ int ⟶ x7 x8 x9 ∈ int) ⟶ ∀ x8 : ι → ι → ι . (∀ x9 . x9 ∈ int ⟶ ∀ x10 . x10 ∈ int ⟶ x8 x9 x10 ∈ int) ⟶ ∀ x9 : ι → ι → ι . (∀ x10 . x10 ∈ int ⟶ ∀ x11 . x11 ∈ int ⟶ x9 x10 x11 ∈ int) ⟶ ∀ x10 . x10 ∈ int ⟶ ∀ x11 : ι → ι → ι . (∀ x12 . x12 ∈ int ⟶ ∀ x13 . x13 ∈ int ⟶ x11 x12 x13 ∈ int) ⟶ ∀ x12 : ι → ι → ι . (∀ x13 . x13 ∈ int ⟶ ∀ x14 . x14 ∈ int ⟶ x12 x13 x14 ∈ int) ⟶ ∀ x13 : ι → ι → ι . (∀ x14 . x14 ∈ int ⟶ ∀ x15 . x15 ∈ int ⟶ x13 x14 x15 ∈ int) ⟶ ∀ x14 : ι → ι . (∀ x15 . x15 ∈ int ⟶ x14 x15 ∈ int) ⟶ ∀ x15 . x15 ∈ int ⟶ ∀ x16 : ι → ι → ι . (∀ x17 . x17 ∈ int ⟶ ∀ x18 . x18 ∈ int ⟶ x16 x17 x18 ∈ int) ⟶ ∀ x17 : ι → ι . (∀ x18 . x18 ∈ int ⟶ x17 x18 ∈ int) ⟶ ∀ x18 : ι → ι . (∀ x19 . x19 ∈ int ⟶ x18 x19 ∈ int) ⟶ ∀ x19 : ι → ι → ι . (∀ x20 . x20 ∈ int ⟶ ∀ x21 . x21 ∈ int ⟶ x19 x20 x21 ∈ int) ⟶ ∀ x20 : ι → ι → ι . (∀ x21 . x21 ∈ int ⟶ ∀ x22 . x22 ∈ int ⟶ x20 x21 x22 ∈ int) ⟶ ∀ x21 : ι → ι → ι . (∀ x22 . x22 ∈ int ⟶ ∀ x23 . x23 ∈ int ⟶ x21 x22 x23 ∈ int) ⟶ ∀ x22 . x22 ∈ int ⟶ ∀ x23 . x23 ∈ int ⟶ ∀ x24 : ι → ι → ι → ι . (∀ x25 . x25 ∈ int ⟶ ∀ x26 . x26 ∈ int ⟶ ∀ x27 . x27 ∈ int ⟶ x24 x25 x26 x27 ∈ int) ⟶ ∀ x25 : ι → ι → ι → ι . (∀ x26 . x26 ∈ int ⟶ ∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ x25 x26 x27 x28 ∈ int) ⟶ ∀ x26 : ι → ι → ι . (∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ x26 x27 x28 ∈ int) ⟶ ∀ x27 : ι → ι → ι . (∀ x28 . x28 ∈ int ⟶ ∀ x29 . x29 ∈ int ⟶ x27 x28 x29 ∈ int) ⟶ ∀ x28 : ι → ι . (∀ x29 . x29 ∈ int ⟶ x28 x29 ∈ int) ⟶ ∀ x29 . x29 ∈ int ⟶ ∀ x30 : ι → ι → ι . (∀ x31 . x31 ∈ int ⟶ ∀ x32 . x32 ∈ int ⟶ x30 x31 x32 ∈ int) ⟶ ∀ x31 : ι → ι . (∀ x32 . x32 ∈ int ⟶ x31 x32 ∈ int) ⟶ ∀ x32 : ι → ι . (∀ x33 . x33 ∈ int ⟶ x32 x33 ∈ int) ⟶ ∀ x33 : ι → ι . (∀ x34 . x34 ∈ int ⟶ x33 x34 ∈ int) ⟶ ∀ x34 . x34 ∈ int ⟶ ∀ x35 : ι → ι → ι . (∀ x36 . x36 ∈ int ⟶ ∀ x37 . x37 ∈ int ⟶ x35 x36 x37 ∈ int) ⟶ ∀ x36 : ι → ι . (∀ x37 . x37 ∈ int ⟶ x36 x37 ∈ int) ⟶ ∀ x37 : ι → ι . (∀ x38 . x38 ∈ int ⟶ x37 x38 ∈ int) ⟶ ∀ x38 . x38 ∈ int ⟶ ∀ x39 : ι → ι → ι . (∀ x40 . x40 ∈ int ⟶ ∀ x41 . x41 ∈ int ⟶ x39 x40 x41 ∈ int) ⟶ ∀ x40 : ι → ι → ι . (∀ x41 . x41 ∈ int ⟶ ∀ x42 . x42 ∈ int ⟶ x40 x41 x42 ∈ int) ⟶ ∀ x41 : ι → ι → ι . (∀ x42 . x42 ∈ int ⟶ ∀ x43 . x43 ∈ int ⟶ x41 x42 x43 ∈ int) ⟶ ∀ x42 : ι → ι → ι . (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x42 x43 x44 ∈ int) ⟶ ∀ x43 : ι → ι . (∀ x44 . x44 ∈ int ⟶ x43 x44 ∈ int) ⟶ ∀ x44 . x44 ∈ int ⟶ ∀ x45 : ι → ι → ι . (∀ x46 . x46 ∈ int ⟶ ∀ x47 . x47 ∈ int ⟶ x45 x46 x47 ∈ int) ⟶ ∀ x46 : ι → ι . (∀ x47 . x47 ∈ int ⟶ x46 x47 ∈ int) ⟶ ∀ x47 : ι → ι . (∀ x48 . x48 ∈ int ⟶ x47 x48 ∈ int) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x0 x48 x49 = add_SNo (mul_SNo 2 (add_SNo (add_SNo x48 x48) x48)) (mul_SNo (mul_SNo x49 x49) x49)) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x1 x48 x49 = add_SNo x49 x49) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x2 x48 x49 = x49) ⟶ x3 = 1 ⟶ x4 = 2 ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ ∀ x50 . x50 ∈ int ⟶ x5 x48 x49 x50 = If_i (SNoLe x48 0) x49 (x0 (x5 (add_SNo x48 (minus_SNo 1)) x49 x50) (x6 (add_SNo x48 (minus_SNo 1)) x49 x50))) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ ∀ x50 . x50 ∈ int ⟶ x6 x48 x49 x50 = If_i (SNoLe x48 0) x50 (x1 (x5 (add_SNo x48 (minus_SNo 1)) x49 x50) (x6 (add_SNo x48 (minus_SNo 1)) x49 x50))) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x7 x48 x49 = x5 (x2 x48 x49) x3 x4) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x8 x48 x49 = add_SNo (x7 x48 x49) (mul_SNo 2 (add_SNo (mul_SNo 2 (add_SNo x48 x48)) x48))) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x9 x48 x49 = x49) ⟶ x10 = 1 ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x11 x48 x49 = If_i (SNoLe x48 0) x49 (x8 (x11 (add_SNo x48 (minus_SNo 1)) x49) x48)) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x12 x48 x49 = x11 (x9 x48 x49) x10) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x13 x48 x49 = add_SNo (add_SNo (x12 x48 x49) (mul_SNo 2 (add_SNo (add_SNo x48 x48) x48))) x48) ⟶ (∀ x48 . x48 ∈ int ⟶ x14 x48 = x48) ⟶ x15 = 1 ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x16 x48 x49 = If_i (SNoLe x48 0) x49 (x13 (x16 (add_SNo x48 (minus_SNo 1)) x49) x48)) ⟶ (∀ x48 . x48 ∈ int ⟶ x17 x48 = x16 (x14 x48) x15) ⟶ (∀ x48 . x48 ∈ int ⟶ x18 x48 = x17 x48) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x19 x48 x49 = add_SNo (add_SNo (add_SNo (mul_SNo x49 x49) x48) x48) x48) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x20 x48 x49 = add_SNo x49 x49) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x21 x48 x49 = x49) ⟶ x22 = 1 ⟶ x23 = 2 ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ ∀ x50 . x50 ∈ int ⟶ x24 x48 x49 x50 = If_i (SNoLe x48 0) x49 (x19 (x24 (add_SNo x48 (minus_SNo 1)) x49 x50) (x25 (add_SNo x48 (minus_SNo 1)) x49 x50))) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ ∀ x50 . x50 ∈ int ⟶ x25 x48 x49 x50 = If_i (SNoLe x48 0) x50 (x20 (x24 (add_SNo x48 (minus_SNo 1)) x49 x50) (x25 (add_SNo x48 (minus_SNo 1)) x49 x50))) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x26 x48 x49 = x24 (x21 x48 x49) x22 x23) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x27 x48 x49 = add_SNo (add_SNo (x26 x48 x49) (mul_SNo 2 (add_SNo x48 x48))) x48) ⟶ (∀ x48 . x48 ∈ int ⟶ x28 x48 = x48) ⟶ x29 = 1 ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x30 x48 x49 = If_i (SNoLe x48 0) x49 (x27 (x30 (add_SNo x48 (minus_SNo 1)) x49) x48)) ⟶ (∀ x48 . x48 ∈ int ⟶ x31 x48 = x30 (x28 x48) x29) ⟶ (∀ x48 . x48 ∈ int ⟶ x32 x48 = add_SNo x48 x48) ⟶ (∀ x48 . x48 ∈ int ⟶ x33 x48 = x48) ⟶ x34 = 1 ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x35 x48 x49 = If_i (SNoLe x48 0) x49 (x32 (x35 (add_SNo x48 (minus_SNo 1)) x49))) ⟶ (∀ x48 . x48 ∈ int ⟶ x36 x48 = x35 (x33 x48) x34) ⟶ (∀ x48 . x48 ∈ int ⟶ x37 x48 = mul_SNo (x31 x48) (x36 x48)) ⟶ x38 = 1 ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x39 x48 x49 = x49) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x40 x48 x49 = If_i (SNoLe x48 0) x49 (x37 (x40 (add_SNo x48 (minus_SNo 1)) x49))) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x41 x48 x49 = x40 x38 (x39 x48 x49)) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x42 x48 x49 = add_SNo (add_SNo (x41 x48 x49) (mul_SNo 2 (add_SNo (add_SNo x48 x48) x48))) x48) ⟶ (∀ x48 . x48 ∈ int ⟶ x43 x48 = x48) ⟶ x44 = 1 ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x45 x48 x49 = If_i (SNoLe x48 0) x49 (x42 (x45 (add_SNo x48 (minus_SNo 1)) x49) x48)) ⟶ (∀ x48 . x48 ∈ int ⟶ x46 x48 = x45 (x43 x48) x44) ⟶ (∀ x48 . x48 ∈ int ⟶ x47 x48 = x46 x48) ⟶ ∀ x48 . x48 ∈ int ⟶ SNoLe 0 x48 ⟶ x18 x48 = x47 x48
Conjecture 68ef4..^A28192 : ∀ x0 : ι → ι . (∀ x1 . x1 ∈ int ⟶ x0 x1 ∈ int) ⟶ ∀ x1 : ι → ι → ι . (∀ x2 . x2 ∈ int ⟶ ∀ x3 . x3 ∈ int ⟶ x1 x2 x3 ∈ int) ⟶ ∀ x2 . x2 ∈ int ⟶ ∀ x3 : ι → ι → ι . (∀ x4 . x4 ∈ int ⟶ ∀ x5 . x5 ∈ int ⟶ x3 x4 x5 ∈ int) ⟶ ∀ x4 : ι → ι → ι . (∀ x5 . x5 ∈ int ⟶ ∀ x6 . x6 ∈ int ⟶ x4 x5 x6 ∈ int) ⟶ ∀ x5 : ι → ι → ι . (∀ x6 . x6 ∈ int ⟶ ∀ x7 . x7 ∈ int ⟶ x5 x6 x7 ∈ int) ⟶ ∀ x6 : ι → ι → ι . (∀ x7 . x7 ∈ int ⟶ ∀ x8 . x8 ∈ int ⟶ x6 x7 x8 ∈ int) ⟶ ∀ x7 . x7 ∈ int ⟶ ∀ x8 : ι → ι → ι . (∀ x9 . x9 ∈ int ⟶ ∀ x10 . x10 ∈ int ⟶ x8 x9 x10 ∈ int) ⟶ ∀ x9 : ι → ι → ι . (∀ x10 . x10 ∈ int ⟶ ∀ x11 . x11 ∈ int ⟶ x9 x10 x11 ∈ int) ⟶ ∀ x10 : ι → ι → ι . (∀ x11 . x11 ∈ int ⟶ ∀ x12 . x12 ∈ int ⟶ x10 x11 x12 ∈ int) ⟶ ∀ x11 . x11 ∈ int ⟶ ∀ x12 : ι → ι . (∀ x13 . x13 ∈ int ⟶ x12 x13 ∈ int) ⟶ ∀ x13 : ι → ι → ι . (∀ x14 . x14 ∈ int ⟶ ∀ x15 . x15 ∈ int ⟶ x13 x14 x15 ∈ int) ⟶ ∀ x14 : ι → ι . (∀ x15 . x15 ∈ int ⟶ x14 x15 ∈ int) ⟶ ∀ x15 : ι → ι → ι . (∀ x16 . x16 ∈ int ⟶ ∀ x17 . x17 ∈ int ⟶ x15 x16 x17 ∈ int) ⟶ ∀ x16 : ι → ι → ι . (∀ x17 . x17 ∈ int ⟶ ∀ x18 . x18 ∈ int ⟶ x16 x17 x18 ∈ int) ⟶ ∀ x17 . x17 ∈ int ⟶ ∀ x18 : ι → ι → ι . (∀ x19 . x19 ∈ int ⟶ ∀ x20 . x20 ∈ int ⟶ x18 x19 x20 ∈ int) ⟶ ∀ x19 : ι → ι → ι . (∀ x20 . x20 ∈ int ⟶ ∀ x21 . x21 ∈ int ⟶ x19 x20 x21 ∈ int) ⟶ ∀ x20 : ι → ι → ι . (∀ x21 . x21 ∈ int ⟶ ∀ x22 . x22 ∈ int ⟶ x20 x21 x22 ∈ int) ⟶ ∀ x21 : ι → ι . (∀ x22 . x22 ∈ int ⟶ x21 x22 ∈ int) ⟶ ∀ x22 . x22 ∈ int ⟶ ∀ x23 : ι → ι → ι . (∀ x24 . x24 ∈ int ⟶ ∀ x25 . x25 ∈ int ⟶ x23 x24 x25 ∈ int) ⟶ ∀ x24 : ι → ι . (∀ x25 . x25 ∈ int ⟶ x24 x25 ∈ int) ⟶ ∀ x25 : ι → ι . (∀ x26 . x26 ∈ int ⟶ x25 x26 ∈ int) ⟶ ∀ x26 : ι → ι → ι . (∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ x26 x27 x28 ∈ int) ⟶ ∀ x27 : ι → ι → ι . (∀ x28 . x28 ∈ int ⟶ ∀ x29 . x29 ∈ int ⟶ x27 x28 x29 ∈ int) ⟶ ∀ x28 : ι → ι . (∀ x29 . x29 ∈ int ⟶ x28 x29 ∈ int) ⟶ ∀ x29 . x29 ∈ int ⟶ ∀ x30 . x30 ∈ int ⟶ ∀ x31 : ι → ι → ι → ι . (∀ x32 . x32 ∈ int ⟶ ∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x31 x32 x33 x34 ∈ int) ⟶ ∀ x32 : ι → ι → ι → ι . (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ ∀ x35 . x35 ∈ int ⟶ x32 x33 x34 x35 ∈ int) ⟶ ∀ x33 : ι → ι . (∀ x34 . x34 ∈ int ⟶ x33 x34 ∈ int) ⟶ ∀ x34 : ι → ι . (∀ x35 . x35 ∈ int ⟶ x34 x35 ∈ int) ⟶ ∀ x35 . x35 ∈ int ⟶ ∀ x36 : ι → ι . (∀ x37 . x37 ∈ int ⟶ x36 x37 ∈ int) ⟶ ∀ x37 : ι → ι . (∀ x38 . x38 ∈ int ⟶ x37 x38 ∈ int) ⟶ ∀ x38 . x38 ∈ int ⟶ ∀ x39 : ι → ι → ι . (∀ x40 . x40 ∈ int ⟶ ∀ x41 . x41 ∈ int ⟶ x39 x40 x41 ∈ int) ⟶ ∀ x40 : ι → ι . (∀ x41 . x41 ∈ int ⟶ x40 x41 ∈ int) ⟶ ∀ x41 : ι → ι . (∀ x42 . x42 ∈ int ⟶ x41 x42 ∈ int) ⟶ ∀ x42 : ι → ι → ι . (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x42 x43 x44 ∈ int) ⟶ ∀ x43 : ι → ι . (∀ x44 . x44 ∈ int ⟶ x43 x44 ∈ int) ⟶ ∀ x44 : ι → ι . (∀ x45 . x45 ∈ int ⟶ x44 x45 ∈ int) ⟶ ∀ x45 . x45 ∈ int ⟶ ∀ x46 : ι → ι → ι . (∀ x47 . x47 ∈ int ⟶ ∀ x48 . x48 ∈ int ⟶ x46 x47 x48 ∈ int) ⟶ ∀ x47 : ι → ι → ι . (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x47 x48 x49 ∈ int) ⟶ ∀ x48 : ι → ι → ι . (∀ x49 . x49 ∈ int ⟶ ∀ x50 . x50 ∈ int ⟶ x48 x49 x50 ∈ int) ⟶ ∀ x49 : ι → ι → ι . (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x49 x50 x51 ∈ int) ⟶ ∀ x50 : ι → ι . (∀ x51 . x51 ∈ int ⟶ x50 x51 ∈ int) ⟶ ∀ x51 . x51 ∈ int ⟶ ∀ x52 : ι → ι → ι . (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x52 x53 x54 ∈ int) ⟶ ∀ x53 : ι → ι . (∀ x54 . x54 ∈ int ⟶ x53 x54 ∈ int) ⟶ ∀ x54 : ι → ι . (∀ x55 . x55 ∈ int ⟶ x54 x55 ∈ int) ⟶ ∀ x55 . x55 ∈ int ⟶ ∀ x56 : ι → ι → ι . (∀ x57 . x57 ∈ int ⟶ ∀ x58 . x58 ∈ int ⟶ x56 x57 x58 ∈ int) ⟶ ∀ x57 : ι → ι → ι . (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x57 x58 x59 ∈ int) ⟶ ∀ x58 : ι → ι → ι . (∀ x59 . x59 ∈ int ⟶ ∀ x60 . x60 ∈ int ⟶ x58 x59 x60 ∈ int) ⟶ ∀ x59 : ι → ι → ι . (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x59 x60 x61 ∈ int) ⟶ ∀ x60 : ι → ι . (∀ x61 . x61 ∈ int ⟶ x60 x61 ∈ int) ⟶ ∀ x61 . x61 ∈ int ⟶ ∀ x62 : ι → ι → ι . (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x62 x63 x64 ∈ int) ⟶ ∀ x63 : ι → ι . (∀ x64 . x64 ∈ int ⟶ x63 x64 ∈ int) ⟶ ∀ x64 : ι → ι . (∀ x65 . x65 ∈ int ⟶ x64 x65 ∈ int) ⟶ (∀ x65 . x65 ∈ int ⟶ x0 x65 = add_SNo (add_SNo x65 x65) x65) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x1 x65 x66 = add_SNo x66 x66) ⟶ x2 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x3 x65 x66 = If_i (SNoLe x65 0) x66 (x0 (x3 (add_SNo x65 (minus_SNo 1)) x66))) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x4 x65 x66 = x3 (x1 x65 x66) x2) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x5 x65 x66 = add_SNo (x4 x65 x66) (mul_SNo 2 (mul_SNo 2 (add_SNo x65 x65)))) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x6 x65 x66 = x66) ⟶ x7 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x8 x65 x66 = If_i (SNoLe x65 0) x66 (x5 (x8 (add_SNo x65 (minus_SNo 1)) x66) x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x9 x65 x66 = x8 (x6 x65 x66) x7) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x10 x65 x66 = mul_SNo (add_SNo 2 x66) x65) ⟶ x11 = 2 ⟶ (∀ x65 . x65 ∈ int ⟶ x12 x65 = x65) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x13 x65 x66 = If_i (SNoLe x65 0) x66 (x10 (x13 (add_SNo x65 (minus_SNo 1)) x66) x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ x14 x65 = x13 x11 (x12 x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x15 x65 x66 = add_SNo (x9 x65 x66) (x14 x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x16 x65 x66 = x66) ⟶ x17 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x18 x65 x66 = If_i (SNoLe x65 0) x66 (x15 (x18 (add_SNo x65 (minus_SNo 1)) x66) x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x19 x65 x66 = x18 (x16 x65 x66) x17) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x20 x65 x66 = add_SNo (add_SNo (x19 x65 x66) (mul_SNo 2 (add_SNo x65 x65))) x65) ⟶ (∀ x65 . x65 ∈ int ⟶ x21 x65 = x65) ⟶ x22 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x23 x65 x66 = If_i (SNoLe x65 0) x66 (x20 (x23 (add_SNo x65 (minus_SNo 1)) x66) x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ x24 x65 = x23 (x21 x65) x22) ⟶ (∀ x65 . x65 ∈ int ⟶ x25 x65 = x24 x65) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x26 x65 x66 = add_SNo (add_SNo (add_SNo x65 x65) x65) x66) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x27 x65 x66 = add_SNo x66 x66) ⟶ (∀ x65 . x65 ∈ int ⟶ x28 x65 = x65) ⟶ x29 = 1 ⟶ x30 = 2 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ ∀ x67 . x67 ∈ int ⟶ x31 x65 x66 x67 = If_i (SNoLe x65 0) x66 (x26 (x31 (add_SNo x65 (minus_SNo 1)) x66 x67) (x32 (add_SNo x65 (minus_SNo 1)) x66 x67))) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ ∀ x67 . x67 ∈ int ⟶ x32 x65 x66 x67 = If_i (SNoLe x65 0) x67 (x27 (x31 (add_SNo x65 (minus_SNo 1)) x66 x67) (x32 (add_SNo x65 (minus_SNo 1)) x66 x67))) ⟶ (∀ x65 . x65 ∈ int ⟶ x33 x65 = x31 (x28 x65) x29 x30) ⟶ (∀ x65 . x65 ∈ int ⟶ x34 x65 = mul_SNo x65 x65) ⟶ x35 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ x36 x65 = add_SNo x65 x65) ⟶ (∀ x65 . x65 ∈ int ⟶ x37 x65 = x65) ⟶ x38 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x39 x65 x66 = If_i (SNoLe x65 0) x66 (x36 (x39 (add_SNo x65 (minus_SNo 1)) x66))) ⟶ (∀ x65 . x65 ∈ int ⟶ x40 x65 = x39 (x37 x65) x38) ⟶ (∀ x65 . x65 ∈ int ⟶ x41 x65 = x40 x65) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x42 x65 x66 = If_i (SNoLe x65 0) x66 (x34 (x42 (add_SNo x65 (minus_SNo 1)) x66))) ⟶ (∀ x65 . x65 ∈ int ⟶ x43 x65 = x42 x35 (x41 x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ x44 x65 = mul_SNo (x33 x65) (x43 x65)) ⟶ x45 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x46 x65 x66 = x66) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x47 x65 x66 = If_i (SNoLe x65 0) x66 (x44 (x47 (add_SNo x65 (minus_SNo 1)) x66))) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x48 x65 x66 = x47 x45 (x46 x65 x66)) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x49 x65 x66 = add_SNo (add_SNo (x48 x65 x66) (mul_SNo 2 (add_SNo x65 x65))) x65) ⟶ (∀ x65 . x65 ∈ int ⟶ x50 x65 = x65) ⟶ x51 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x52 x65 x66 = If_i (SNoLe x65 0) x66 (x49 (x52 (add_SNo x65 (minus_SNo 1)) x66) x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ x53 x65 = x52 (x50 x65) x51) ⟶ (∀ x65 . x65 ∈ int ⟶ x54 x65 = x53 x65) ⟶ x55 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x56 x65 x66 = x66) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x57 x65 x66 = If_i (SNoLe x65 0) x66 (x54 (x57 (add_SNo x65 (minus_SNo 1)) x66))) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x58 x65 x66 = x57 x55 (x56 x65 x66)) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x59 x65 x66 = add_SNo (add_SNo (x58 x65 x66) x65) (mul_SNo (mul_SNo (add_SNo x65 x65) 2) 2)) ⟶ (∀ x65 . x65 ∈ int ⟶ x60 x65 = x65) ⟶ x61 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x62 x65 x66 = If_i (SNoLe x65 0) x66 (x59 (x62 (add_SNo x65 (minus_SNo 1)) x66) x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ x63 x65 = x62 (x60 x65) x61) ⟶ (∀ x65 . x65 ∈ int ⟶ x64 x65 = x63 x65) ⟶ ∀ x65 . x65 ∈ int ⟶ SNoLe 0 x65 ⟶ x25 x65 = x64 x65
Conjecture d9b0a..^A28178 : ∀ x0 : ι → ι . (∀ x1 . x1 ∈ int ⟶ x0 x1 ∈ int) ⟶ ∀ x1 : ι → ι . (∀ x2 . x2 ∈ int ⟶ x1 x2 ∈ int) ⟶ ∀ x2 : ι → ι . (∀ x3 . x3 ∈ int ⟶ x2 x3 ∈ int) ⟶ ∀ x3 : ι → ι . (∀ x4 . x4 ∈ int ⟶ x3 x4 ∈ int) ⟶ ∀ x4 . x4 ∈ int ⟶ ∀ x5 : ι → ι → ι . (∀ x6 . x6 ∈ int ⟶ ∀ x7 . x7 ∈ int ⟶ x5 x6 x7 ∈ int) ⟶ ∀ x6 : ι → ι . (∀ x7 . x7 ∈ int ⟶ x6 x7 ∈ int) ⟶ ∀ x7 : ι → ι . (∀ x8 . x8 ∈ int ⟶ x7 x8 ∈ int) ⟶ ∀ x8 : ι → ι → ι . (∀ x9 . x9 ∈ int ⟶ ∀ x10 . x10 ∈ int ⟶ x8 x9 x10 ∈ int) ⟶ ∀ x9 : ι → ι . (∀ x10 . x10 ∈ int ⟶ x9 x10 ∈ int) ⟶ ∀ x10 : ι → ι . (∀ x11 . x11 ∈ int ⟶ x10 x11 ∈ int) ⟶ ∀ x11 . x11 ∈ int ⟶ ∀ x12 : ι → ι → ι . (∀ x13 . x13 ∈ int ⟶ ∀ x14 . x14 ∈ int ⟶ x12 x13 x14 ∈ int) ⟶ ∀ x13 : ι → ι → ι . (∀ x14 . x14 ∈ int ⟶ ∀ x15 . x15 ∈ int ⟶ x13 x14 x15 ∈ int) ⟶ ∀ x14 : ι → ι → ι . (∀ x15 . x15 ∈ int ⟶ ∀ x16 . x16 ∈ int ⟶ x14 x15 x16 ∈ int) ⟶ ∀ x15 : ι → ι → ι . (∀ x16 . x16 ∈ int ⟶ ∀ x17 . x17 ∈ int ⟶ x15 x16 x17 ∈ int) ⟶ ∀ x16 : ι → ι → ι . (∀ x17 . x17 ∈ int ⟶ ∀ x18 . x18 ∈ int ⟶ x16 x17 x18 ∈ int) ⟶ ∀ x17 . x17 ∈ int ⟶ ∀ x18 : ι → ι → ι . (∀ x19 . x19 ∈ int ⟶ ∀ x20 . x20 ∈ int ⟶ x18 x19 x20 ∈ int) ⟶ ∀ x19 : ι → ι → ι . (∀ x20 . x20 ∈ int ⟶ ∀ x21 . x21 ∈ int ⟶ x19 x20 x21 ∈ int) ⟶ ∀ x20 : ι → ι → ι . (∀ x21 . x21 ∈ int ⟶ ∀ x22 . x22 ∈ int ⟶ x20 x21 x22 ∈ int) ⟶ ∀ x21 . x21 ∈ int ⟶ ∀ x22 : ι → ι . (∀ x23 . x23 ∈ int ⟶ x22 x23 ∈ int) ⟶ ∀ x23 : ι → ι → ι . (∀ x24 . x24 ∈ int ⟶ ∀ x25 . x25 ∈ int ⟶ x23 x24 x25 ∈ int) ⟶ ∀ x24 : ι → ι . (∀ x25 . x25 ∈ int ⟶ x24 x25 ∈ int) ⟶ ∀ x25 : ι → ι → ι . (∀ x26 . x26 ∈ int ⟶ ∀ x27 . x27 ∈ int ⟶ x25 x26 x27 ∈ int) ⟶ ∀ x26 : ι → ι . (∀ x27 . x27 ∈ int ⟶ x26 x27 ∈ int) ⟶ ∀ x27 . x27 ∈ int ⟶ ∀ x28 : ι → ι → ι . (∀ x29 . x29 ∈ int ⟶ ∀ x30 . x30 ∈ int ⟶ x28 x29 x30 ∈ int) ⟶ ∀ x29 : ι → ι . (∀ x30 . x30 ∈ int ⟶ x29 x30 ∈ int) ⟶ ∀ x30 : ι → ι . (∀ x31 . x31 ∈ int ⟶ x30 x31 ∈ int) ⟶ ∀ x31 : ι → ι . (∀ x32 . x32 ∈ int ⟶ x31 x32 ∈ int) ⟶ ∀ x32 : ι → ι . (∀ x33 . x33 ∈ int ⟶ x32 x33 ∈ int) ⟶ ∀ x33 . x33 ∈ int ⟶ ∀ x34 : ι → ι → ι . (∀ x35 . x35 ∈ int ⟶ ∀ x36 . x36 ∈ int ⟶ x34 x35 x36 ∈ int) ⟶ ∀ x35 : ι → ι . (∀ x36 . x36 ∈ int ⟶ x35 x36 ∈ int) ⟶ ∀ x36 : ι → ι → ι . (∀ x37 . x37 ∈ int ⟶ ∀ x38 . x38 ∈ int ⟶ x36 x37 x38 ∈ int) ⟶ ∀ x37 : ι → ι → ι . (∀ x38 . x38 ∈ int ⟶ ∀ x39 . x39 ∈ int ⟶ x37 x38 x39 ∈ int) ⟶ ∀ x38 : ι → ι . (∀ x39 . x39 ∈ int ⟶ x38 x39 ∈ int) ⟶ ∀ x39 . x39 ∈ int ⟶ ∀ x40 . x40 ∈ int ⟶ ∀ x41 : ι → ι → ι → ι . (∀ x42 . x42 ∈ int ⟶ ∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x41 x42 x43 x44 ∈ int) ⟶ ∀ x42 : ι → ι → ι → ι . (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ ∀ x45 . x45 ∈ int ⟶ x42 x43 x44 x45 ∈ int) ⟶ ∀ x43 : ι → ι . (∀ x44 . x44 ∈ int ⟶ x43 x44 ∈ int) ⟶ ∀ x44 : ι → ι . (∀ x45 . x45 ∈ int ⟶ x44 x45 ∈ int) ⟶ ∀ x45 . x45 ∈ int ⟶ ∀ x46 : ι → ι → ι . (∀ x47 . x47 ∈ int ⟶ ∀ x48 . x48 ∈ int ⟶ x46 x47 x48 ∈ int) ⟶ ∀ x47 : ι → ι → ι . (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x47 x48 x49 ∈ int) ⟶ ∀ x48 : ι → ι → ι . (∀ x49 . x49 ∈ int ⟶ ∀ x50 . x50 ∈ int ⟶ x48 x49 x50 ∈ int) ⟶ ∀ x49 : ι → ι → ι . (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x49 x50 x51 ∈ int) ⟶ ∀ x50 : ι → ι . (∀ x51 . x51 ∈ int ⟶ x50 x51 ∈ int) ⟶ ∀ x51 . x51 ∈ int ⟶ ∀ x52 : ι → ι → ι . (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x52 x53 x54 ∈ int) ⟶ ∀ x53 : ι → ι . (∀ x54 . x54 ∈ int ⟶ x53 x54 ∈ int) ⟶ ∀ x54 : ι → ι . (∀ x55 . x55 ∈ int ⟶ x54 x55 ∈ int) ⟶ ∀ x55 : ι → ι . (∀ x56 . x56 ∈ int ⟶ x55 x56 ∈ int) ⟶ ∀ x56 . x56 ∈ int ⟶ ∀ x57 : ι → ι → ι . (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x57 x58 x59 ∈ int) ⟶ ∀ x58 : ι → ι . (∀ x59 . x59 ∈ int ⟶ x58 x59 ∈ int) ⟶ ∀ x59 : ι → ι . (∀ x60 . x60 ∈ int ⟶ x59 x60 ∈ int) ⟶ ∀ x60 . x60 ∈ int ⟶ ∀ x61 : ι → ι → ι . (∀ x62 . x62 ∈ int ⟶ ∀ x63 . x63 ∈ int ⟶ x61 x62 x63 ∈ int) ⟶ ∀ x62 : ι → ι → ι . (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x62 x63 x64 ∈ int) ⟶ ∀ x63 : ι → ι → ι . (∀ x64 . x64 ∈ int ⟶ ∀ x65 . x65 ∈ int ⟶ x63 x64 x65 ∈ int) ⟶ ∀ x64 : ι → ι → ι . (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x64 x65 x66 ∈ int) ⟶ ∀ x65 : ι → ι . (∀ x66 . x66 ∈ int ⟶ x65 x66 ∈ int) ⟶ ∀ x66 . x66 ∈ int ⟶ ∀ x67 : ι → ι → ι . (∀ x68 . x68 ∈ int ⟶ ∀ x69 . x69 ∈ int ⟶ x67 x68 x69 ∈ int) ⟶ ∀ x68 : ι → ι . (∀ x69 . x69 ∈ int ⟶ x68 x69 ∈ int) ⟶ ∀ x69 : ι → ι . (∀ x70 . x70 ∈ int ⟶ x69 x70 ∈ int) ⟶ (∀ x70 . x70 ∈ int ⟶ x0 x70 = add_SNo (mul_SNo 2 (add_SNo x70 x70)) x70) ⟶ (∀ x70 . x70 ∈ int ⟶ x1 x70 = x70) ⟶ (∀ x70 . x70 ∈ int ⟶ x2 x70 = add_SNo x70 x70) ⟶ (∀ x70 . x70 ∈ int ⟶ x3 x70 = x70) ⟶ x4 = 2 ⟶ (∀ x70 . x70 ∈ int ⟶ ∀ x71 . x71 ∈ int ⟶ x5 x70 x71 = If_i (SNoLe x70 0) x71 (x2 (x5 (add_SNo x70 (minus_SNo 1)) x71))) ⟶ (∀ x70 . x70 ∈ int ⟶ x6 x70 = x5 (x3 x70) x4) ⟶ (∀ x70 . x70 ∈ int ⟶ x7 x70 = add_SNo (x6 x70) (minus_SNo 1)) ⟶ (∀ x70 . x70 ∈ int ⟶ ∀ x71 . x71 ∈ int ⟶ x8 x70 x71 = If_i (SNoLe x70 0) x71 (x0 (x8 (add_SNo x70 (minus_SNo 1)) x71))) ⟶ (∀ x70 . x70 ∈ int ⟶ x9 x70 = x8 (x1 x70) (x7 x70)) ⟶ (∀ x70 . x70 ∈ int ⟶ x10 x70 = x9 x70) ⟶ x11 = 1 ⟶ (∀ x70 . x70 ∈ int ⟶ ∀ x71 . x71 ∈ int ⟶ x12 x70 x71 = x71) ⟶ (∀ x70 . x70 ∈ int ⟶ ∀ x71 . x71 ∈ int ⟶ x13 x70 x71 = If_i (SNoLe x70 0) x71 (x10 (x13 (add_SNo x70 (minus_SNo 1)) x71))) ⟶ (∀ x70 . x70 ∈ int ⟶ ∀ x71 . x71 ∈ int ⟶ x14 x70 x71 = x13 x11 (x12 x70 x71)) ⟶ (∀ x70 . x70 ∈ int ⟶ ∀ x71 . x71 ∈ int ⟶ x15 x70 x71 = add_SNo (x14 x70 x71) (mul_SNo 2 (add_SNo (add_SNo x70 x70) x70))) ⟶ (∀ x70 . x70 ∈ int ⟶ ∀ x71 . x71 ∈ int ⟶ x16 x70 x71 = x71) ⟶ x17 = 1 ⟶ (∀ x70 . x70 ∈ int ⟶ ∀ x71 . x71 ∈ int ⟶ x18 x70 x71 = If_i (SNoLe x70 0) x71 (x15 (x18 (add_SNo x70 (minus_SNo 1)) x71) x70)) ⟶ (∀ x70 . x70 ∈ int ⟶ ∀ x71 . x71 ∈ int ⟶ x19 x70 x71 = x18 (x16 x70 x71) x17) ⟶ (∀ x70 . x70 ∈ int ⟶ ∀ x71 . x71 ∈ int ⟶ x20 x70 x71 = mul_SNo (add_SNo 2 x71) x70) ⟶ x21 = 2 ⟶ (∀ x70 . x70 ∈ int ⟶ x22 x70 = x70) ⟶ (∀ x70 . x70 ∈ int ⟶ ∀ x71 . x71 ∈ int ⟶ x23 x70 x71 = If_i (SNoLe x70 0) x71 (x20 (x23 (add_SNo x70 (minus_SNo 1)) x71) x70)) ⟶ (∀ x70 . x70 ∈ int ⟶ x24 x70 = x23 x21 (x22 x70)) ⟶ (∀ x70 . x70 ∈ int ⟶ ∀ x71 . x71 ∈ int ⟶ x25 x70 x71 = add_SNo (x19 x70 x71) (x24 x70)) ⟶ (∀ x70 . x70 ∈ int ⟶ x26 x70 = x70) ⟶ x27 = 1 ⟶ (∀ x70 . x70 ∈ int ⟶ ∀ x71 . x71 ∈ int ⟶ x28 x70 x71 = If_i (SNoLe x70 0) x71 (x25 (x28 (add_SNo x70 (minus_SNo 1)) x71) x70)) ⟶ (∀ x70 . x70 ∈ int ⟶ x29 x70 = x28 (x26 x70) x27) ⟶ (∀ x70 . x70 ∈ int ⟶ x30 x70 = x29 x70) ⟶ (∀ x70 . x70 ∈ int ⟶ x31 x70 = add_SNo x70 x70) ⟶ (∀ x70 . x70 ∈ int ⟶ x32 x70 = x70) ⟶ x33 = 2 ⟶ (∀ x70 . x70 ∈ int ⟶ ∀ x71 . x71 ∈ int ⟶ x34 x70 x71 = If_i (SNoLe x70 0) x71 (x31 (x34 (add_SNo x70 (minus_SNo 1)) x71))) ⟶ (∀ x70 . x70 ∈ int ⟶ x35 x70 = x34 (x32 x70) x33) ⟶ (∀ x70 . x70 ∈ int ⟶ ∀ x71 . x71 ∈ int ⟶ x36 x70 x71 = mul_SNo x70 x71) ⟶ (∀ x70 . x70 ∈ int ⟶ ∀ x71 . x71 ∈ int ⟶ x37 x70 x71 = x71) ⟶ (∀ x70 . x70 ∈ int ⟶ x38 x70 = x70) ⟶ x39 = 1 ⟶ x40 = add_SNo 1 2 ⟶ (∀ x70 . x70 ∈ int ⟶ ∀ x71 . x71 ∈ int ⟶ ∀ x72 . x72 ∈ int ⟶ x41 x70 x71 x72 = If_i (SNoLe x70 0) x71 (x36 (x41 (add_SNo x70 (minus_SNo 1)) x71 x72) (x42 (add_SNo x70 (minus_SNo 1)) x71 x72))) ⟶ (∀ x70 . x70 ∈ int ⟶ ∀ x71 . x71 ∈ int ⟶ ∀ x72 . x72 ∈ int ⟶ x42 x70 x71 x72 = If_i (SNoLe x70 0) x72 (x37 (x41 (add_SNo x70 (minus_SNo 1)) x71 x72) (x42 (add_SNo x70 (minus_SNo 1)) x71 x72))) ⟶ (∀ x70 . x70 ∈ int ⟶ x43 x70 = x41 (x38 x70) x39 x40) ⟶ (∀ x70 . x70 ∈ int ⟶ x44 x70 = mul_SNo (add_SNo (x35 x70) (minus_SNo 1)) (x43 x70)) ⟶ x45 = 1 ⟶ (∀ x70 . x70 ∈ int ⟶ ∀ x71 . x71 ∈ int ⟶ x46 x70 x71 = x71) ⟶ (∀ x70 . x70 ∈ int ⟶ ∀ x71 . x71 ∈ int ⟶ x47 x70 x71 = If_i (SNoLe x70 0) x71 (x44 (x47 (add_SNo x70 (minus_SNo 1)) x71))) ⟶ (∀ x70 . x70 ∈ int ⟶ ∀ x71 . x71 ∈ int ⟶ x48 x70 x71 = x47 x45 (x46 x70 x71)) ⟶ (∀ x70 . x70 ∈ int ⟶ ∀ x71 . x71 ∈ int ⟶ x49 x70 x71 = add_SNo (add_SNo (x48 x70 x71) (mul_SNo 2 (add_SNo x70 x70))) x70) ⟶ (∀ x70 . x70 ∈ int ⟶ x50 x70 = x70) ⟶ x51 = 1 ⟶ (∀ x70 . x70 ∈ int ⟶ ∀ x71 . x71 ∈ int ⟶ x52 x70 x71 = If_i (SNoLe x70 0) x71 (x49 (x52 (add_SNo x70 (minus_SNo 1)) x71) x70)) ⟶ (∀ x70 . x70 ∈ int ⟶ x53 x70 = x52 (x50 x70) x51) ⟶ (∀ x70 . x70 ∈ int ⟶ x54 x70 = add_SNo x70 x70) ⟶ (∀ x70 . x70 ∈ int ⟶ x55 x70 = x70) ⟶ x56 = 1 ⟶ (∀ x70 . x70 ∈ int ⟶ ∀ x71 . x71 ∈ int ⟶ x57 x70 x71 = If_i (SNoLe x70 0) x71 (x54 (x57 (add_SNo x70 (minus_SNo 1)) x71))) ⟶ (∀ x70 . x70 ∈ int ⟶ x58 x70 = x57 (x55 x70) x56) ⟶ (∀ x70 . x70 ∈ int ⟶ x59 x70 = mul_SNo (x53 x70) (x58 x70)) ⟶ x60 = 1 ⟶ (∀ x70 . x70 ∈ int ⟶ ∀ x71 . x71 ∈ int ⟶ x61 x70 x71 = x71) ⟶ (∀ x70 . x70 ∈ int ⟶ ∀ x71 . x71 ∈ int ⟶ x62 x70 x71 = If_i (SNoLe x70 0) x71 (x59 (x62 (add_SNo x70 (minus_SNo 1)) x71))) ⟶ (∀ x70 . x70 ∈ int ⟶ ∀ x71 . x71 ∈ int ⟶ x63 x70 x71 = x62 x60 (x61 x70 x71)) ⟶ (∀ x70 . x70 ∈ int ⟶ ∀ x71 . x71 ∈ int ⟶ x64 x70 x71 = add_SNo (add_SNo (x63 x70 x71) (mul_SNo 2 (add_SNo x70 x70))) x70) ⟶ (∀ x70 . x70 ∈ int ⟶ x65 x70 = x70) ⟶ x66 = 1 ⟶ (∀ x70 . x70 ∈ int ⟶ ∀ x71 . x71 ∈ int ⟶ x67 x70 x71 = If_i (SNoLe x70 0) x71 (x64 (x67 (add_SNo x70 (minus_SNo 1)) x71) x70)) ⟶ (∀ x70 . x70 ∈ int ⟶ x68 x70 = x67 (x65 x70) x66) ⟶ (∀ x70 . x70 ∈ int ⟶ x69 x70 = x68 x70) ⟶ ∀ x70 . x70 ∈ int ⟶ SNoLe 0 x70 ⟶ x30 x70 = x69 x70
Conjecture d0f23..^A28175 : ∀ x0 : ι → ι . (∀ x1 . x1 ∈ int ⟶ x0 x1 ∈ int) ⟶ ∀ x1 : ι → ι → ι . (∀ x2 . x2 ∈ int ⟶ ∀ x3 . x3 ∈ int ⟶ x1 x2 x3 ∈ int) ⟶ ∀ x2 . x2 ∈ int ⟶ ∀ x3 : ι → ι → ι . (∀ x4 . x4 ∈ int ⟶ ∀ x5 . x5 ∈ int ⟶ x3 x4 x5 ∈ int) ⟶ ∀ x4 : ι → ι → ι . (∀ x5 . x5 ∈ int ⟶ ∀ x6 . x6 ∈ int ⟶ x4 x5 x6 ∈ int) ⟶ ∀ x5 : ι → ι → ι . (∀ x6 . x6 ∈ int ⟶ ∀ x7 . x7 ∈ int ⟶ x5 x6 x7 ∈ int) ⟶ ∀ x6 . x6 ∈ int ⟶ ∀ x7 : ι → ι . (∀ x8 . x8 ∈ int ⟶ x7 x8 ∈ int) ⟶ ∀ x8 : ι → ι → ι . (∀ x9 . x9 ∈ int ⟶ ∀ x10 . x10 ∈ int ⟶ x8 x9 x10 ∈ int) ⟶ ∀ x9 : ι → ι . (∀ x10 . x10 ∈ int ⟶ x9 x10 ∈ int) ⟶ ∀ x10 : ι → ι → ι . (∀ x11 . x11 ∈ int ⟶ ∀ x12 . x12 ∈ int ⟶ x10 x11 x12 ∈ int) ⟶ ∀ x11 : ι → ι → ι . (∀ x12 . x12 ∈ int ⟶ ∀ x13 . x13 ∈ int ⟶ x11 x12 x13 ∈ int) ⟶ ∀ x12 . x12 ∈ int ⟶ ∀ x13 : ι → ι → ι . (∀ x14 . x14 ∈ int ⟶ ∀ x15 . x15 ∈ int ⟶ x13 x14 x15 ∈ int) ⟶ ∀ x14 : ι → ι → ι . (∀ x15 . x15 ∈ int ⟶ ∀ x16 . x16 ∈ int ⟶ x14 x15 x16 ∈ int) ⟶ ∀ x15 : ι → ι → ι . (∀ x16 . x16 ∈ int ⟶ ∀ x17 . x17 ∈ int ⟶ x15 x16 x17 ∈ int) ⟶ ∀ x16 : ι → ι → ι . (∀ x17 . x17 ∈ int ⟶ ∀ x18 . x18 ∈ int ⟶ x16 x17 x18 ∈ int) ⟶ ∀ x17 . x17 ∈ int ⟶ ∀ x18 : ι → ι → ι . (∀ x19 . x19 ∈ int ⟶ ∀ x20 . x20 ∈ int ⟶ x18 x19 x20 ∈ int) ⟶ ∀ x19 : ι → ι → ι . (∀ x20 . x20 ∈ int ⟶ ∀ x21 . x21 ∈ int ⟶ x19 x20 x21 ∈ int) ⟶ ∀ x20 : ι → ι → ι . (∀ x21 . x21 ∈ int ⟶ ∀ x22 . x22 ∈ int ⟶ x20 x21 x22 ∈ int) ⟶ ∀ x21 : ι → ι . (∀ x22 . x22 ∈ int ⟶ x21 x22 ∈ int) ⟶ ∀ x22 . x22 ∈ int ⟶ ∀ x23 : ι → ι → ι . (∀ x24 . x24 ∈ int ⟶ ∀ x25 . x25 ∈ int ⟶ x23 x24 x25 ∈ int) ⟶ ∀ x24 : ι → ι . (∀ x25 . x25 ∈ int ⟶ x24 x25 ∈ int) ⟶ ∀ x25 : ι → ι . (∀ x26 . x26 ∈ int ⟶ x25 x26 ∈ int) ⟶ ∀ x26 : ι → ι → ι . (∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ x26 x27 x28 ∈ int) ⟶ ∀ x27 : ι → ι → ι . (∀ x28 . x28 ∈ int ⟶ ∀ x29 . x29 ∈ int ⟶ x27 x28 x29 ∈ int) ⟶ ∀ x28 : ι → ι . (∀ x29 . x29 ∈ int ⟶ x28 x29 ∈ int) ⟶ ∀ x29 . x29 ∈ int ⟶ ∀ x30 . x30 ∈ int ⟶ ∀ x31 : ι → ι → ι → ι . (∀ x32 . x32 ∈ int ⟶ ∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x31 x32 x33 x34 ∈ int) ⟶ ∀ x32 : ι → ι → ι → ι . (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ ∀ x35 . x35 ∈ int ⟶ x32 x33 x34 x35 ∈ int) ⟶ ∀ x33 : ι → ι . (∀ x34 . x34 ∈ int ⟶ x33 x34 ∈ int) ⟶ ∀ x34 : ι → ι → ι . (∀ x35 . x35 ∈ int ⟶ ∀ x36 . x36 ∈ int ⟶ x34 x35 x36 ∈ int) ⟶ ∀ x35 : ι → ι → ι . (∀ x36 . x36 ∈ int ⟶ ∀ x37 . x37 ∈ int ⟶ x35 x36 x37 ∈ int) ⟶ ∀ x36 : ι → ι . (∀ x37 . x37 ∈ int ⟶ x36 x37 ∈ int) ⟶ ∀ x37 . x37 ∈ int ⟶ ∀ x38 . x38 ∈ int ⟶ ∀ x39 : ι → ι → ι → ι . (∀ x40 . x40 ∈ int ⟶ ∀ x41 . x41 ∈ int ⟶ ∀ x42 . x42 ∈ int ⟶ x39 x40 x41 x42 ∈ int) ⟶ ∀ x40 : ι → ι → ι → ι . (∀ x41 . x41 ∈ int ⟶ ∀ x42 . x42 ∈ int ⟶ ∀ x43 . x43 ∈ int ⟶ x40 x41 x42 x43 ∈ int) ⟶ ∀ x41 : ι → ι . (∀ x42 . x42 ∈ int ⟶ x41 x42 ∈ int) ⟶ ∀ x42 : ι → ι . (∀ x43 . x43 ∈ int ⟶ x42 x43 ∈ int) ⟶ ∀ x43 . x43 ∈ int ⟶ ∀ x44 : ι → ι → ι . (∀ x45 . x45 ∈ int ⟶ ∀ x46 . x46 ∈ int ⟶ x44 x45 x46 ∈ int) ⟶ ∀ x45 : ι → ι → ι . (∀ x46 . x46 ∈ int ⟶ ∀ x47 . x47 ∈ int ⟶ x45 x46 x47 ∈ int) ⟶ ∀ x46 : ι → ι → ι . (∀ x47 . x47 ∈ int ⟶ ∀ x48 . x48 ∈ int ⟶ x46 x47 x48 ∈ int) ⟶ ∀ x47 : ι → ι → ι . (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x47 x48 x49 ∈ int) ⟶ ∀ x48 : ι → ι . (∀ x49 . x49 ∈ int ⟶ x48 x49 ∈ int) ⟶ ∀ x49 . x49 ∈ int ⟶ ∀ x50 : ι → ι → ι . (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x50 x51 x52 ∈ int) ⟶ ∀ x51 : ι → ι . (∀ x52 . x52 ∈ int ⟶ x51 x52 ∈ int) ⟶ ∀ x52 : ι → ι . (∀ x53 . x53 ∈ int ⟶ x52 x53 ∈ int) ⟶ ∀ x53 . x53 ∈ int ⟶ ∀ x54 : ι → ι → ι . (∀ x55 . x55 ∈ int ⟶ ∀ x56 . x56 ∈ int ⟶ x54 x55 x56 ∈ int) ⟶ ∀ x55 : ι → ι → ι . (∀ x56 . x56 ∈ int ⟶ ∀ x57 . x57 ∈ int ⟶ x55 x56 x57 ∈ int) ⟶ ∀ x56 : ι → ι → ι . (∀ x57 . x57 ∈ int ⟶ ∀ x58 . x58 ∈ int ⟶ x56 x57 x58 ∈ int) ⟶ ∀ x57 : ι → ι → ι . (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x57 x58 x59 ∈ int) ⟶ ∀ x58 : ι → ι . (∀ x59 . x59 ∈ int ⟶ x58 x59 ∈ int) ⟶ ∀ x59 . x59 ∈ int ⟶ ∀ x60 : ι → ι → ι . (∀ x61 . x61 ∈ int ⟶ ∀ x62 . x62 ∈ int ⟶ x60 x61 x62 ∈ int) ⟶ ∀ x61 : ι → ι . (∀ x62 . x62 ∈ int ⟶ x61 x62 ∈ int) ⟶ ∀ x62 : ι → ι . (∀ x63 . x63 ∈ int ⟶ x62 x63 ∈ int) ⟶ (∀ x63 . x63 ∈ int ⟶ x0 x63 = add_SNo (add_SNo x63 x63) x63) ⟶ (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x1 x63 x64 = add_SNo x64 x64) ⟶ x2 = 1 ⟶ (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x3 x63 x64 = If_i (SNoLe x63 0) x64 (x0 (x3 (add_SNo x63 (minus_SNo 1)) x64))) ⟶ (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x4 x63 x64 = x3 (x1 x63 x64) x2) ⟶ (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x5 x63 x64 = mul_SNo (add_SNo 2 x64) x63) ⟶ x6 = 2 ⟶ (∀ x63 . x63 ∈ int ⟶ x7 x63 = x63) ⟶ (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x8 x63 x64 = If_i (SNoLe x63 0) x64 (x5 (x8 (add_SNo x63 (minus_SNo 1)) x64) x63)) ⟶ (∀ x63 . x63 ∈ int ⟶ x9 x63 = x8 x6 (x7 x63)) ⟶ (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x10 x63 x64 = add_SNo (x4 x63 x64) (add_SNo (x9 x63) (minus_SNo x63))) ⟶ (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x11 x63 x64 = x64) ⟶ x12 = 1 ⟶ (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x13 x63 x64 = If_i (SNoLe x63 0) x64 (x10 (x13 (add_SNo x63 (minus_SNo 1)) x64) x63)) ⟶ (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x14 x63 x64 = x13 (x11 x63 x64) x12) ⟶ (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x15 x63 x64 = add_SNo (x14 x63 x64) (mul_SNo 2 (add_SNo (add_SNo x63 x63) x63))) ⟶ (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x16 x63 x64 = x64) ⟶ x17 = 1 ⟶ (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x18 x63 x64 = If_i (SNoLe x63 0) x64 (x15 (x18 (add_SNo x63 (minus_SNo 1)) x64) x63)) ⟶ (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x19 x63 x64 = x18 (x16 x63 x64) x17) ⟶ (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x20 x63 x64 = add_SNo (add_SNo (x19 x63 x64) (mul_SNo 2 (add_SNo x63 x63))) x63) ⟶ (∀ x63 . x63 ∈ int ⟶ x21 x63 = x63) ⟶ x22 = 1 ⟶ (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x23 x63 x64 = If_i (SNoLe x63 0) x64 (x20 (x23 (add_SNo x63 (minus_SNo 1)) x64) x63)) ⟶ (∀ x63 . x63 ∈ int ⟶ x24 x63 = x23 (x21 x63) x22) ⟶ (∀ x63 . x63 ∈ int ⟶ x25 x63 = x24 x63) ⟶ (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x26 x63 x64 = add_SNo (add_SNo (add_SNo x63 x63) x63) x64) ⟶ (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x27 x63 x64 = add_SNo x64 x64) ⟶ (∀ x63 . x63 ∈ int ⟶ x28 x63 = x63) ⟶ x29 = 1 ⟶ x30 = 2 ⟶ (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ ∀ x65 . x65 ∈ int ⟶ x31 x63 x64 x65 = If_i (SNoLe x63 0) x64 (x26 (x31 (add_SNo x63 (minus_SNo 1)) x64 x65) (x32 (add_SNo x63 (minus_SNo 1)) x64 x65))) ⟶ (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ ∀ x65 . x65 ∈ int ⟶ x32 x63 x64 x65 = If_i (SNoLe x63 0) x65 (x27 (x31 (add_SNo x63 (minus_SNo 1)) x64 x65) (x32 (add_SNo x63 (minus_SNo 1)) x64 x65))) ⟶ (∀ x63 . x63 ∈ int ⟶ x33 x63 = x31 (x28 x63) x29 x30) ⟶ (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x34 x63 x64 = mul_SNo x63 x64) ⟶ (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x35 x63 x64 = x64) ⟶ (∀ x63 . x63 ∈ int ⟶ x36 x63 = x63) ⟶ x37 = 1 ⟶ x38 = add_SNo 1 2 ⟶ (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ ∀ x65 . x65 ∈ int ⟶ x39 x63 x64 x65 = If_i (SNoLe x63 0) x64 (x34 (x39 (add_SNo x63 (minus_SNo 1)) x64 x65) (x40 (add_SNo x63 (minus_SNo 1)) x64 x65))) ⟶ (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ ∀ x65 . x65 ∈ int ⟶ x40 x63 x64 x65 = If_i (SNoLe x63 0) x65 (x35 (x39 (add_SNo x63 (minus_SNo 1)) x64 x65) (x40 (add_SNo x63 (minus_SNo 1)) x64 x65))) ⟶ (∀ x63 . x63 ∈ int ⟶ x41 x63 = x39 (x36 x63) x37 x38) ⟶ (∀ x63 . x63 ∈ int ⟶ x42 x63 = mul_SNo (x33 x63) (x41 x63)) ⟶ x43 = 1 ⟶ (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x44 x63 x64 = x64) ⟶ (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x45 x63 x64 = If_i (SNoLe x63 0) x64 (x42 (x45 (add_SNo x63 (minus_SNo 1)) x64))) ⟶ (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x46 x63 x64 = x45 x43 (x44 x63 x64)) ⟶ (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x47 x63 x64 = add_SNo (add_SNo (x46 x63 x64) (mul_SNo 2 (add_SNo x63 x63))) x63) ⟶ (∀ x63 . x63 ∈ int ⟶ x48 x63 = x63) ⟶ x49 = 1 ⟶ (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x50 x63 x64 = If_i (SNoLe x63 0) x64 (x47 (x50 (add_SNo x63 (minus_SNo 1)) x64) x63)) ⟶ (∀ x63 . x63 ∈ int ⟶ x51 x63 = x50 (x48 x63) x49) ⟶ (∀ x63 . x63 ∈ int ⟶ x52 x63 = x51 x63) ⟶ x53 = 1 ⟶ (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x54 x63 x64 = x64) ⟶ (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x55 x63 x64 = If_i (SNoLe x63 0) x64 (x52 (x55 (add_SNo x63 (minus_SNo 1)) x64))) ⟶ (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x56 x63 x64 = x55 x53 (x54 x63 x64)) ⟶ (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x57 x63 x64 = add_SNo (add_SNo (x56 x63 x64) (mul_SNo 2 (add_SNo (mul_SNo 2 (add_SNo x63 x63)) x63))) x63) ⟶ (∀ x63 . x63 ∈ int ⟶ x58 x63 = x63) ⟶ x59 = 1 ⟶ (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x60 x63 x64 = If_i (SNoLe x63 0) x64 (x57 (x60 (add_SNo x63 (minus_SNo 1)) x64) x63)) ⟶ (∀ x63 . x63 ∈ int ⟶ x61 x63 = x60 (x58 x63) x59) ⟶ (∀ x63 . x63 ∈ int ⟶ x62 x63 = x61 x63) ⟶ ∀ x63 . x63 ∈ int ⟶ SNoLe 0 x63 ⟶ x25 x63 = x62 x63
Conjecture 612c4..^A28169 : ∀ x0 : ι → ι . (∀ x1 . x1 ∈ int ⟶ x0 x1 ∈ int) ⟶ ∀ x1 : ι → ι . (∀ x2 . x2 ∈ int ⟶ x1 x2 ∈ int) ⟶ ∀ x2 : ι → ι . (∀ x3 . x3 ∈ int ⟶ x2 x3 ∈ int) ⟶ ∀ x3 : ι → ι . (∀ x4 . x4 ∈ int ⟶ x3 x4 ∈ int) ⟶ ∀ x4 . x4 ∈ int ⟶ ∀ x5 : ι → ι → ι . (∀ x6 . x6 ∈ int ⟶ ∀ x7 . x7 ∈ int ⟶ x5 x6 x7 ∈ int) ⟶ ∀ x6 : ι → ι . (∀ x7 . x7 ∈ int ⟶ x6 x7 ∈ int) ⟶ ∀ x7 : ι → ι . (∀ x8 . x8 ∈ int ⟶ x7 x8 ∈ int) ⟶ ∀ x8 : ι → ι → ι . (∀ x9 . x9 ∈ int ⟶ ∀ x10 . x10 ∈ int ⟶ x8 x9 x10 ∈ int) ⟶ ∀ x9 : ι → ι . (∀ x10 . x10 ∈ int ⟶ x9 x10 ∈ int) ⟶ ∀ x10 : ι → ι . (∀ x11 . x11 ∈ int ⟶ x10 x11 ∈ int) ⟶ ∀ x11 . x11 ∈ int ⟶ ∀ x12 : ι → ι → ι . (∀ x13 . x13 ∈ int ⟶ ∀ x14 . x14 ∈ int ⟶ x12 x13 x14 ∈ int) ⟶ ∀ x13 : ι → ι → ι . (∀ x14 . x14 ∈ int ⟶ ∀ x15 . x15 ∈ int ⟶ x13 x14 x15 ∈ int) ⟶ ∀ x14 : ι → ι → ι . (∀ x15 . x15 ∈ int ⟶ ∀ x16 . x16 ∈ int ⟶ x14 x15 x16 ∈ int) ⟶ ∀ x15 : ι → ι → ι . (∀ x16 . x16 ∈ int ⟶ ∀ x17 . x17 ∈ int ⟶ x15 x16 x17 ∈ int) ⟶ ∀ x16 : ι → ι → ι . (∀ x17 . x17 ∈ int ⟶ ∀ x18 . x18 ∈ int ⟶ x16 x17 x18 ∈ int) ⟶ ∀ x17 . x17 ∈ int ⟶ ∀ x18 : ι → ι → ι . (∀ x19 . x19 ∈ int ⟶ ∀ x20 . x20 ∈ int ⟶ x18 x19 x20 ∈ int) ⟶ ∀ x19 : ι → ι → ι . (∀ x20 . x20 ∈ int ⟶ ∀ x21 . x21 ∈ int ⟶ x19 x20 x21 ∈ int) ⟶ ∀ x20 : ι → ι → ι . (∀ x21 . x21 ∈ int ⟶ ∀ x22 . x22 ∈ int ⟶ x20 x21 x22 ∈ int) ⟶ ∀ x21 : ι → ι . (∀ x22 . x22 ∈ int ⟶ x21 x22 ∈ int) ⟶ ∀ x22 . x22 ∈ int ⟶ ∀ x23 : ι → ι → ι . (∀ x24 . x24 ∈ int ⟶ ∀ x25 . x25 ∈ int ⟶ x23 x24 x25 ∈ int) ⟶ ∀ x24 : ι → ι . (∀ x25 . x25 ∈ int ⟶ x24 x25 ∈ int) ⟶ ∀ x25 : ι → ι . (∀ x26 . x26 ∈ int ⟶ x25 x26 ∈ int) ⟶ ∀ x26 : ι → ι . (∀ x27 . x27 ∈ int ⟶ x26 x27 ∈ int) ⟶ ∀ x27 : ι → ι . (∀ x28 . x28 ∈ int ⟶ x27 x28 ∈ int) ⟶ ∀ x28 . x28 ∈ int ⟶ ∀ x29 : ι → ι → ι . (∀ x30 . x30 ∈ int ⟶ ∀ x31 . x31 ∈ int ⟶ x29 x30 x31 ∈ int) ⟶ ∀ x30 : ι → ι . (∀ x31 . x31 ∈ int ⟶ x30 x31 ∈ int) ⟶ ∀ x31 : ι → ι → ι . (∀ x32 . x32 ∈ int ⟶ ∀ x33 . x33 ∈ int ⟶ x31 x32 x33 ∈ int) ⟶ ∀ x32 : ι → ι → ι . (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x32 x33 x34 ∈ int) ⟶ ∀ x33 : ι → ι . (∀ x34 . x34 ∈ int ⟶ x33 x34 ∈ int) ⟶ ∀ x34 . x34 ∈ int ⟶ ∀ x35 . x35 ∈ int ⟶ ∀ x36 : ι → ι → ι → ι . (∀ x37 . x37 ∈ int ⟶ ∀ x38 . x38 ∈ int ⟶ ∀ x39 . x39 ∈ int ⟶ x36 x37 x38 x39 ∈ int) ⟶ ∀ x37 : ι → ι → ι → ι . (∀ x38 . x38 ∈ int ⟶ ∀ x39 . x39 ∈ int ⟶ ∀ x40 . x40 ∈ int ⟶ x37 x38 x39 x40 ∈ int) ⟶ ∀ x38 : ι → ι . (∀ x39 . x39 ∈ int ⟶ x38 x39 ∈ int) ⟶ ∀ x39 : ι → ι . (∀ x40 . x40 ∈ int ⟶ x39 x40 ∈ int) ⟶ ∀ x40 . x40 ∈ int ⟶ ∀ x41 : ι → ι → ι . (∀ x42 . x42 ∈ int ⟶ ∀ x43 . x43 ∈ int ⟶ x41 x42 x43 ∈ int) ⟶ ∀ x42 : ι → ι → ι . (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x42 x43 x44 ∈ int) ⟶ ∀ x43 : ι → ι → ι . (∀ x44 . x44 ∈ int ⟶ ∀ x45 . x45 ∈ int ⟶ x43 x44 x45 ∈ int) ⟶ ∀ x44 : ι → ι → ι . (∀ x45 . x45 ∈ int ⟶ ∀ x46 . x46 ∈ int ⟶ x44 x45 x46 ∈ int) ⟶ ∀ x45 : ι → ι . (∀ x46 . x46 ∈ int ⟶ x45 x46 ∈ int) ⟶ ∀ x46 . x46 ∈ int ⟶ ∀ x47 : ι → ι → ι . (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x47 x48 x49 ∈ int) ⟶ ∀ x48 : ι → ι . (∀ x49 . x49 ∈ int ⟶ x48 x49 ∈ int) ⟶ ∀ x49 : ι → ι . (∀ x50 . x50 ∈ int ⟶ x49 x50 ∈ int) ⟶ ∀ x50 . x50 ∈ int ⟶ ∀ x51 : ι → ι → ι . (∀ x52 . x52 ∈ int ⟶ ∀ x53 . x53 ∈ int ⟶ x51 x52 x53 ∈ int) ⟶ ∀ x52 : ι → ι → ι . (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x52 x53 x54 ∈ int) ⟶ ∀ x53 : ι → ι → ι . (∀ x54 . x54 ∈ int ⟶ ∀ x55 . x55 ∈ int ⟶ x53 x54 x55 ∈ int) ⟶ ∀ x54 : ι → ι → ι . (∀ x55 . x55 ∈ int ⟶ ∀ x56 . x56 ∈ int ⟶ x54 x55 x56 ∈ int) ⟶ ∀ x55 : ι → ι . (∀ x56 . x56 ∈ int ⟶ x55 x56 ∈ int) ⟶ ∀ x56 . x56 ∈ int ⟶ ∀ x57 : ι → ι → ι . (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x57 x58 x59 ∈ int) ⟶ ∀ x58 : ι → ι . (∀ x59 . x59 ∈ int ⟶ x58 x59 ∈ int) ⟶ ∀ x59 : ι → ι . (∀ x60 . x60 ∈ int ⟶ x59 x60 ∈ int) ⟶ (∀ x60 . x60 ∈ int ⟶ x0 x60 = mul_SNo 2 (add_SNo (add_SNo x60 x60) x60)) ⟶ (∀ x60 . x60 ∈ int ⟶ x1 x60 = x60) ⟶ (∀ x60 . x60 ∈ int ⟶ x2 x60 = add_SNo x60 x60) ⟶ (∀ x60 . x60 ∈ int ⟶ x3 x60 = x60) ⟶ x4 = 2 ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x5 x60 x61 = If_i (SNoLe x60 0) x61 (x2 (x5 (add_SNo x60 (minus_SNo 1)) x61))) ⟶ (∀ x60 . x60 ∈ int ⟶ x6 x60 = x5 (x3 x60) x4) ⟶ (∀ x60 . x60 ∈ int ⟶ x7 x60 = add_SNo (x6 x60) (minus_SNo 1)) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x8 x60 x61 = If_i (SNoLe x60 0) x61 (x0 (x8 (add_SNo x60 (minus_SNo 1)) x61))) ⟶ (∀ x60 . x60 ∈ int ⟶ x9 x60 = x8 (x1 x60) (x7 x60)) ⟶ (∀ x60 . x60 ∈ int ⟶ x10 x60 = x9 x60) ⟶ x11 = 1 ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x12 x60 x61 = x61) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x13 x60 x61 = If_i (SNoLe x60 0) x61 (x10 (x13 (add_SNo x60 (minus_SNo 1)) x61))) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x14 x60 x61 = x13 x11 (x12 x60 x61)) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x15 x60 x61 = add_SNo (add_SNo (x14 x60 x61) (mul_SNo 2 (add_SNo (add_SNo x60 x60) x60))) x60) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x16 x60 x61 = x61) ⟶ x17 = 1 ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x18 x60 x61 = If_i (SNoLe x60 0) x61 (x15 (x18 (add_SNo x60 (minus_SNo 1)) x61) x60)) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x19 x60 x61 = x18 (x16 x60 x61) x17) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x20 x60 x61 = add_SNo (add_SNo (x19 x60 x61) (mul_SNo 2 (add_SNo x60 x60))) x60) ⟶ (∀ x60 . x60 ∈ int ⟶ x21 x60 = x60) ⟶ x22 = 1 ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x23 x60 x61 = If_i (SNoLe x60 0) x61 (x20 (x23 (add_SNo x60 (minus_SNo 1)) x61) x60)) ⟶ (∀ x60 . x60 ∈ int ⟶ x24 x60 = x23 (x21 x60) x22) ⟶ (∀ x60 . x60 ∈ int ⟶ x25 x60 = x24 x60) ⟶ (∀ x60 . x60 ∈ int ⟶ x26 x60 = add_SNo x60 x60) ⟶ (∀ x60 . x60 ∈ int ⟶ x27 x60 = x60) ⟶ x28 = 2 ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x29 x60 x61 = If_i (SNoLe x60 0) x61 (x26 (x29 (add_SNo x60 (minus_SNo 1)) x61))) ⟶ (∀ x60 . x60 ∈ int ⟶ x30 x60 = x29 (x27 x60) x28) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x31 x60 x61 = mul_SNo x60 x61) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x32 x60 x61 = x61) ⟶ (∀ x60 . x60 ∈ int ⟶ x33 x60 = x60) ⟶ x34 = 1 ⟶ x35 = add_SNo 2 (add_SNo 2 2) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ ∀ x62 . x62 ∈ int ⟶ x36 x60 x61 x62 = If_i (SNoLe x60 0) x61 (x31 (x36 (add_SNo x60 (minus_SNo 1)) x61 x62) (x37 (add_SNo x60 (minus_SNo 1)) x61 x62))) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ ∀ x62 . x62 ∈ int ⟶ x37 x60 x61 x62 = If_i (SNoLe x60 0) x62 (x32 (x36 (add_SNo x60 (minus_SNo 1)) x61 x62) (x37 (add_SNo x60 (minus_SNo 1)) x61 x62))) ⟶ (∀ x60 . x60 ∈ int ⟶ x38 x60 = x36 (x33 x60) x34 x35) ⟶ (∀ x60 . x60 ∈ int ⟶ x39 x60 = mul_SNo (add_SNo (x30 x60) (minus_SNo 1)) (x38 x60)) ⟶ x40 = 1 ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x41 x60 x61 = x61) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x42 x60 x61 = If_i (SNoLe x60 0) x61 (x39 (x42 (add_SNo x60 (minus_SNo 1)) x61))) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x43 x60 x61 = x42 x40 (x41 x60 x61)) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x44 x60 x61 = add_SNo (add_SNo (x43 x60 x61) (mul_SNo 2 (add_SNo x60 x60))) x60) ⟶ (∀ x60 . x60 ∈ int ⟶ x45 x60 = x60) ⟶ x46 = 1 ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x47 x60 x61 = If_i (SNoLe x60 0) x61 (x44 (x47 (add_SNo x60 (minus_SNo 1)) x61) x60)) ⟶ (∀ x60 . x60 ∈ int ⟶ x48 x60 = x47 (x45 x60) x46) ⟶ (∀ x60 . x60 ∈ int ⟶ x49 x60 = x48 x60) ⟶ x50 = 1 ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x51 x60 x61 = x61) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x52 x60 x61 = If_i (SNoLe x60 0) x61 (x49 (x52 (add_SNo x60 (minus_SNo 1)) x61))) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x53 x60 x61 = x52 x50 (x51 x60 x61)) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x54 x60 x61 = add_SNo (add_SNo (x53 x60 x61) x60) (mul_SNo (add_SNo (add_SNo x60 x60) x60) 2)) ⟶ (∀ x60 . x60 ∈ int ⟶ x55 x60 = x60) ⟶ x56 = 1 ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x57 x60 x61 = If_i (SNoLe x60 0) x61 (x54 (x57 (add_SNo x60 (minus_SNo 1)) x61) x60)) ⟶ (∀ x60 . x60 ∈ int ⟶ x58 x60 = x57 (x55 x60) x56) ⟶ (∀ x60 . x60 ∈ int ⟶ x59 x60 = x58 x60) ⟶ ∀ x60 . x60 ∈ int ⟶ SNoLe 0 x60 ⟶ x25 x60 = x59 x60
Conjecture 6c531..^A28155 : ∀ x0 : ι → ι → ι . (∀ x1 . x1 ∈ int ⟶ ∀ x2 . x2 ∈ int ⟶ x0 x1 x2 ∈ int) ⟶ ∀ x1 : ι → ι → ι . (∀ x2 . x2 ∈ int ⟶ ∀ x3 . x3 ∈ int ⟶ x1 x2 x3 ∈ int) ⟶ ∀ x2 : ι → ι . (∀ x3 . x3 ∈ int ⟶ x2 x3 ∈ int) ⟶ ∀ x3 . x3 ∈ int ⟶ ∀ x4 . x4 ∈ int ⟶ ∀ x5 : ι → ι → ι → ι . (∀ x6 . x6 ∈ int ⟶ ∀ x7 . x7 ∈ int ⟶ ∀ x8 . x8 ∈ int ⟶ x5 x6 x7 x8 ∈ int) ⟶ ∀ x6 : ι → ι → ι → ι . (∀ x7 . x7 ∈ int ⟶ ∀ x8 . x8 ∈ int ⟶ ∀ x9 . x9 ∈ int ⟶ x6 x7 x8 x9 ∈ int) ⟶ ∀ x7 : ι → ι . (∀ x8 . x8 ∈ int ⟶ x7 x8 ∈ int) ⟶ ∀ x8 : ι → ι . (∀ x9 . x9 ∈ int ⟶ x8 x9 ∈ int) ⟶ ∀ x9 : ι → ι . (∀ x10 . x10 ∈ int ⟶ x9 x10 ∈ int) ⟶ ∀ x10 . x10 ∈ int ⟶ ∀ x11 : ι → ι → ι . (∀ x12 . x12 ∈ int ⟶ ∀ x13 . x13 ∈ int ⟶ x11 x12 x13 ∈ int) ⟶ ∀ x12 : ι → ι . (∀ x13 . x13 ∈ int ⟶ x12 x13 ∈ int) ⟶ ∀ x13 : ι → ι . (∀ x14 . x14 ∈ int ⟶ x13 x14 ∈ int) ⟶ ∀ x14 . x14 ∈ int ⟶ ∀ x15 : ι → ι → ι . (∀ x16 . x16 ∈ int ⟶ ∀ x17 . x17 ∈ int ⟶ x15 x16 x17 ∈ int) ⟶ ∀ x16 : ι → ι → ι . (∀ x17 . x17 ∈ int ⟶ ∀ x18 . x18 ∈ int ⟶ x16 x17 x18 ∈ int) ⟶ ∀ x17 : ι → ι → ι . (∀ x18 . x18 ∈ int ⟶ ∀ x19 . x19 ∈ int ⟶ x17 x18 x19 ∈ int) ⟶ ∀ x18 : ι → ι . (∀ x19 . x19 ∈ int ⟶ x18 x19 ∈ int) ⟶ ∀ x19 . x19 ∈ int ⟶ ∀ x20 : ι → ι . (∀ x21 . x21 ∈ int ⟶ x20 x21 ∈ int) ⟶ ∀ x21 : ι → ι → ι . (∀ x22 . x22 ∈ int ⟶ ∀ x23 . x23 ∈ int ⟶ x21 x22 x23 ∈ int) ⟶ ∀ x22 : ι → ι . (∀ x23 . x23 ∈ int ⟶ x22 x23 ∈ int) ⟶ ∀ x23 : ι → ι → ι . (∀ x24 . x24 ∈ int ⟶ ∀ x25 . x25 ∈ int ⟶ x23 x24 x25 ∈ int) ⟶ ∀ x24 : ι → ι . (∀ x25 . x25 ∈ int ⟶ x24 x25 ∈ int) ⟶ ∀ x25 . x25 ∈ int ⟶ ∀ x26 : ι → ι → ι . (∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ x26 x27 x28 ∈ int) ⟶ ∀ x27 : ι → ι . (∀ x28 . x28 ∈ int ⟶ x27 x28 ∈ int) ⟶ ∀ x28 : ι → ι . (∀ x29 . x29 ∈ int ⟶ x28 x29 ∈ int) ⟶ ∀ x29 : ι → ι → ι . (∀ x30 . x30 ∈ int ⟶ ∀ x31 . x31 ∈ int ⟶ x29 x30 x31 ∈ int) ⟶ ∀ x30 : ι → ι → ι . (∀ x31 . x31 ∈ int ⟶ ∀ x32 . x32 ∈ int ⟶ x30 x31 x32 ∈ int) ⟶ ∀ x31 : ι → ι . (∀ x32 . x32 ∈ int ⟶ x31 x32 ∈ int) ⟶ ∀ x32 . x32 ∈ int ⟶ ∀ x33 . x33 ∈ int ⟶ ∀ x34 : ι → ι → ι → ι . (∀ x35 . x35 ∈ int ⟶ ∀ x36 . x36 ∈ int ⟶ ∀ x37 . x37 ∈ int ⟶ x34 x35 x36 x37 ∈ int) ⟶ ∀ x35 : ι → ι → ι → ι . (∀ x36 . x36 ∈ int ⟶ ∀ x37 . x37 ∈ int ⟶ ∀ x38 . x38 ∈ int ⟶ x35 x36 x37 x38 ∈ int) ⟶ ∀ x36 : ι → ι . (∀ x37 . x37 ∈ int ⟶ x36 x37 ∈ int) ⟶ ∀ x37 : ι → ι . (∀ x38 . x38 ∈ int ⟶ x37 x38 ∈ int) ⟶ ∀ x38 : ι → ι . (∀ x39 . x39 ∈ int ⟶ x38 x39 ∈ int) ⟶ ∀ x39 . x39 ∈ int ⟶ ∀ x40 : ι → ι → ι . (∀ x41 . x41 ∈ int ⟶ ∀ x42 . x42 ∈ int ⟶ x40 x41 x42 ∈ int) ⟶ ∀ x41 : ι → ι . (∀ x42 . x42 ∈ int ⟶ x41 x42 ∈ int) ⟶ ∀ x42 : ι → ι . (∀ x43 . x43 ∈ int ⟶ x42 x43 ∈ int) ⟶ ∀ x43 . x43 ∈ int ⟶ ∀ x44 : ι → ι → ι . (∀ x45 . x45 ∈ int ⟶ ∀ x46 . x46 ∈ int ⟶ x44 x45 x46 ∈ int) ⟶ ∀ x45 : ι → ι → ι . (∀ x46 . x46 ∈ int ⟶ ∀ x47 . x47 ∈ int ⟶ x45 x46 x47 ∈ int) ⟶ ∀ x46 : ι → ι → ι . (∀ x47 . x47 ∈ int ⟶ ∀ x48 . x48 ∈ int ⟶ x46 x47 x48 ∈ int) ⟶ ∀ x47 : ι → ι → ι . (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x47 x48 x49 ∈ int) ⟶ ∀ x48 : ι → ι . (∀ x49 . x49 ∈ int ⟶ x48 x49 ∈ int) ⟶ ∀ x49 . x49 ∈ int ⟶ ∀ x50 : ι → ι → ι . (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x50 x51 x52 ∈ int) ⟶ ∀ x51 : ι → ι . (∀ x52 . x52 ∈ int ⟶ x51 x52 ∈ int) ⟶ ∀ x52 : ι → ι . (∀ x53 . x53 ∈ int ⟶ x52 x53 ∈ int) ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x0 x53 x54 = add_SNo (add_SNo (mul_SNo 2 (add_SNo (add_SNo (mul_SNo x54 x54) x53) x53)) (minus_SNo x54)) x53) ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x1 x53 x54 = add_SNo x54 x54) ⟶ (∀ x53 . x53 ∈ int ⟶ x2 x53 = x53) ⟶ x3 = 1 ⟶ x4 = 2 ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ ∀ x55 . x55 ∈ int ⟶ x5 x53 x54 x55 = If_i (SNoLe x53 0) x54 (x0 (x5 (add_SNo x53 (minus_SNo 1)) x54 x55) (x6 (add_SNo x53 (minus_SNo 1)) x54 x55))) ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ ∀ x55 . x55 ∈ int ⟶ x6 x53 x54 x55 = If_i (SNoLe x53 0) x55 (x1 (x5 (add_SNo x53 (minus_SNo 1)) x54 x55) (x6 (add_SNo x53 (minus_SNo 1)) x54 x55))) ⟶ (∀ x53 . x53 ∈ int ⟶ x7 x53 = x5 (x2 x53) x3 x4) ⟶ (∀ x53 . x53 ∈ int ⟶ x8 x53 = add_SNo x53 x53) ⟶ (∀ x53 . x53 ∈ int ⟶ x9 x53 = x53) ⟶ x10 = 1 ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x11 x53 x54 = If_i (SNoLe x53 0) x54 (x8 (x11 (add_SNo x53 (minus_SNo 1)) x54))) ⟶ (∀ x53 . x53 ∈ int ⟶ x12 x53 = x11 (x9 x53) x10) ⟶ (∀ x53 . x53 ∈ int ⟶ x13 x53 = mul_SNo (x7 x53) (x12 x53)) ⟶ x14 = 1 ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x15 x53 x54 = x54) ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x16 x53 x54 = If_i (SNoLe x53 0) x54 (x13 (x16 (add_SNo x53 (minus_SNo 1)) x54))) ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x17 x53 x54 = x16 x14 (x15 x53 x54)) ⟶ (∀ x53 . x53 ∈ int ⟶ x18 x53 = add_SNo (add_SNo x53 x53) x53) ⟶ x19 = 2 ⟶ (∀ x53 . x53 ∈ int ⟶ x20 x53 = x53) ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x21 x53 x54 = If_i (SNoLe x53 0) x54 (x18 (x21 (add_SNo x53 (minus_SNo 1)) x54))) ⟶ (∀ x53 . x53 ∈ int ⟶ x22 x53 = x21 x19 (x20 x53)) ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x23 x53 x54 = add_SNo (x17 x53 x54) (x22 x53)) ⟶ (∀ x53 . x53 ∈ int ⟶ x24 x53 = x53) ⟶ x25 = 1 ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x26 x53 x54 = If_i (SNoLe x53 0) x54 (x23 (x26 (add_SNo x53 (minus_SNo 1)) x54) x53)) ⟶ (∀ x53 . x53 ∈ int ⟶ x27 x53 = x26 (x24 x53) x25) ⟶ (∀ x53 . x53 ∈ int ⟶ x28 x53 = x27 x53) ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x29 x53 x54 = add_SNo (add_SNo (mul_SNo 2 (add_SNo (add_SNo (mul_SNo x54 x54) x53) x53)) (minus_SNo x54)) x53) ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x30 x53 x54 = add_SNo x54 x54) ⟶ (∀ x53 . x53 ∈ int ⟶ x31 x53 = x53) ⟶ x32 = 1 ⟶ x33 = 2 ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ ∀ x55 . x55 ∈ int ⟶ x34 x53 x54 x55 = If_i (SNoLe x53 0) x54 (x29 (x34 (add_SNo x53 (minus_SNo 1)) x54 x55) (x35 (add_SNo x53 (minus_SNo 1)) x54 x55))) ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ ∀ x55 . x55 ∈ int ⟶ x35 x53 x54 x55 = If_i (SNoLe x53 0) x55 (x30 (x34 (add_SNo x53 (minus_SNo 1)) x54 x55) (x35 (add_SNo x53 (minus_SNo 1)) x54 x55))) ⟶ (∀ x53 . x53 ∈ int ⟶ x36 x53 = x34 (x31 x53) x32 x33) ⟶ (∀ x53 . x53 ∈ int ⟶ x37 x53 = add_SNo x53 x53) ⟶ (∀ x53 . x53 ∈ int ⟶ x38 x53 = x53) ⟶ x39 = 1 ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x40 x53 x54 = If_i (SNoLe x53 0) x54 (x37 (x40 (add_SNo x53 (minus_SNo 1)) x54))) ⟶ (∀ x53 . x53 ∈ int ⟶ x41 x53 = x40 (x38 x53) x39) ⟶ (∀ x53 . x53 ∈ int ⟶ x42 x53 = mul_SNo (x36 x53) (x41 x53)) ⟶ x43 = 1 ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x44 x53 x54 = x54) ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x45 x53 x54 = If_i (SNoLe x53 0) x54 (x42 (x45 (add_SNo x53 (minus_SNo 1)) x54))) ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x46 x53 x54 = x45 x43 (x44 x53 x54)) ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x47 x53 x54 = add_SNo (add_SNo (x46 x53 x54) (mul_SNo 2 (mul_SNo 2 (add_SNo x53 x53)))) x53) ⟶ (∀ x53 . x53 ∈ int ⟶ x48 x53 = x53) ⟶ x49 = 1 ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x50 x53 x54 = If_i (SNoLe x53 0) x54 (x47 (x50 (add_SNo x53 (minus_SNo 1)) x54) x53)) ⟶ (∀ x53 . x53 ∈ int ⟶ x51 x53 = x50 (x48 x53) x49) ⟶ (∀ x53 . x53 ∈ int ⟶ x52 x53 = x51 x53) ⟶ ∀ x53 . x53 ∈ int ⟶ SNoLe 0 x53 ⟶ x28 x53 = x52 x53
Conjecture 927b4..^A28147 : ∀ x0 : ι → ι → ι . (∀ x1 . x1 ∈ int ⟶ ∀ x2 . x2 ∈ int ⟶ x0 x1 x2 ∈ int) ⟶ ∀ x1 : ι → ι → ι . (∀ x2 . x2 ∈ int ⟶ ∀ x3 . x3 ∈ int ⟶ x1 x2 x3 ∈ int) ⟶ ∀ x2 : ι → ι → ι . (∀ x3 . x3 ∈ int ⟶ ∀ x4 . x4 ∈ int ⟶ x2 x3 x4 ∈ int) ⟶ ∀ x3 . x3 ∈ int ⟶ ∀ x4 . x4 ∈ int ⟶ ∀ x5 : ι → ι → ι → ι . (∀ x6 . x6 ∈ int ⟶ ∀ x7 . x7 ∈ int ⟶ ∀ x8 . x8 ∈ int ⟶ x5 x6 x7 x8 ∈ int) ⟶ ∀ x6 : ι → ι → ι → ι . (∀ x7 . x7 ∈ int ⟶ ∀ x8 . x8 ∈ int ⟶ ∀ x9 . x9 ∈ int ⟶ x6 x7 x8 x9 ∈ int) ⟶ ∀ x7 : ι → ι → ι . (∀ x8 . x8 ∈ int ⟶ ∀ x9 . x9 ∈ int ⟶ x7 x8 x9 ∈ int) ⟶ ∀ x8 : ι → ι → ι . (∀ x9 . x9 ∈ int ⟶ ∀ x10 . x10 ∈ int ⟶ x8 x9 x10 ∈ int) ⟶ ∀ x9 . x9 ∈ int ⟶ ∀ x10 : ι → ι . (∀ x11 . x11 ∈ int ⟶ x10 x11 ∈ int) ⟶ ∀ x11 : ι → ι → ι . (∀ x12 . x12 ∈ int ⟶ ∀ x13 . x13 ∈ int ⟶ x11 x12 x13 ∈ int) ⟶ ∀ x12 : ι → ι . (∀ x13 . x13 ∈ int ⟶ x12 x13 ∈ int) ⟶ ∀ x13 : ι → ι → ι . (∀ x14 . x14 ∈ int ⟶ ∀ x15 . x15 ∈ int ⟶ x13 x14 x15 ∈ int) ⟶ ∀ x14 : ι → ι . (∀ x15 . x15 ∈ int ⟶ x14 x15 ∈ int) ⟶ ∀ x15 . x15 ∈ int ⟶ ∀ x16 : ι → ι → ι . (∀ x17 . x17 ∈ int ⟶ ∀ x18 . x18 ∈ int ⟶ x16 x17 x18 ∈ int) ⟶ ∀ x17 : ι → ι . (∀ x18 . x18 ∈ int ⟶ x17 x18 ∈ int) ⟶ ∀ x18 : ι → ι . (∀ x19 . x19 ∈ int ⟶ x18 x19 ∈ int) ⟶ ∀ x19 : ι → ι → ι . (∀ x20 . x20 ∈ int ⟶ ∀ x21 . x21 ∈ int ⟶ x19 x20 x21 ∈ int) ⟶ ∀ x20 : ι → ι → ι . (∀ x21 . x21 ∈ int ⟶ ∀ x22 . x22 ∈ int ⟶ x20 x21 x22 ∈ int) ⟶ ∀ x21 : ι → ι → ι . (∀ x22 . x22 ∈ int ⟶ ∀ x23 . x23 ∈ int ⟶ x21 x22 x23 ∈ int) ⟶ ∀ x22 . x22 ∈ int ⟶ ∀ x23 . x23 ∈ int ⟶ ∀ x24 : ι → ι → ι → ι . (∀ x25 . x25 ∈ int ⟶ ∀ x26 . x26 ∈ int ⟶ ∀ x27 . x27 ∈ int ⟶ x24 x25 x26 x27 ∈ int) ⟶ ∀ x25 : ι → ι → ι → ι . (∀ x26 . x26 ∈ int ⟶ ∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ x25 x26 x27 x28 ∈ int) ⟶ ∀ x26 : ι → ι → ι . (∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ x26 x27 x28 ∈ int) ⟶ ∀ x27 : ι → ι → ι . (∀ x28 . x28 ∈ int ⟶ ∀ x29 . x29 ∈ int ⟶ x27 x28 x29 ∈ int) ⟶ ∀ x28 : ι → ι . (∀ x29 . x29 ∈ int ⟶ x28 x29 ∈ int) ⟶ ∀ x29 . x29 ∈ int ⟶ ∀ x30 : ι → ι → ι . (∀ x31 . x31 ∈ int ⟶ ∀ x32 . x32 ∈ int ⟶ x30 x31 x32 ∈ int) ⟶ ∀ x31 : ι → ι . (∀ x32 . x32 ∈ int ⟶ x31 x32 ∈ int) ⟶ ∀ x32 : ι → ι . (∀ x33 . x33 ∈ int ⟶ x32 x33 ∈ int) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x0 x33 x34 = add_SNo (add_SNo (mul_SNo (add_SNo (add_SNo x34 (minus_SNo 1)) x34) (mul_SNo x34 x34)) x33) (mul_SNo 2 (add_SNo (add_SNo x33 x33) x33))) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x1 x33 x34 = add_SNo x34 x34) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x2 x33 x34 = x34) ⟶ x3 = 1 ⟶ x4 = 2 ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ ∀ x35 . x35 ∈ int ⟶ x5 x33 x34 x35 = If_i (SNoLe x33 0) x34 (x0 (x5 (add_SNo x33 (minus_SNo 1)) x34 x35) (x6 (add_SNo x33 (minus_SNo 1)) x34 x35))) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ ∀ x35 . x35 ∈ int ⟶ x6 x33 x34 x35 = If_i (SNoLe x33 0) x35 (x1 (x5 (add_SNo x33 (minus_SNo 1)) x34 x35) (x6 (add_SNo x33 (minus_SNo 1)) x34 x35))) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x7 x33 x34 = x5 (x2 x33 x34) x3 x4) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x8 x33 x34 = mul_SNo (add_SNo 2 x34) x33) ⟶ x9 = 2 ⟶ (∀ x33 . x33 ∈ int ⟶ x10 x33 = x33) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x11 x33 x34 = If_i (SNoLe x33 0) x34 (x8 (x11 (add_SNo x33 (minus_SNo 1)) x34) x33)) ⟶ (∀ x33 . x33 ∈ int ⟶ x12 x33 = x11 x9 (x10 x33)) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x13 x33 x34 = add_SNo (x7 x33 x34) (add_SNo (x12 x33) (minus_SNo x33))) ⟶ (∀ x33 . x33 ∈ int ⟶ x14 x33 = x33) ⟶ x15 = 1 ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x16 x33 x34 = If_i (SNoLe x33 0) x34 (x13 (x16 (add_SNo x33 (minus_SNo 1)) x34) x33)) ⟶ (∀ x33 . x33 ∈ int ⟶ x17 x33 = x16 (x14 x33) x15) ⟶ (∀ x33 . x33 ∈ int ⟶ x18 x33 = x17 x33) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x19 x33 x34 = add_SNo (add_SNo (mul_SNo (add_SNo (add_SNo x34 (minus_SNo 1)) x34) (mul_SNo x34 x34)) x33) (mul_SNo 2 (add_SNo (add_SNo x33 x33) x33))) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x20 x33 x34 = add_SNo x34 x34) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x21 x33 x34 = x34) ⟶ x22 = 1 ⟶ x23 = 2 ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ ∀ x35 . x35 ∈ int ⟶ x24 x33 x34 x35 = If_i (SNoLe x33 0) x34 (x19 (x24 (add_SNo x33 (minus_SNo 1)) x34 x35) (x25 (add_SNo x33 (minus_SNo 1)) x34 x35))) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ ∀ x35 . x35 ∈ int ⟶ x25 x33 x34 x35 = If_i (SNoLe x33 0) x35 (x20 (x24 (add_SNo x33 (minus_SNo 1)) x34 x35) (x25 (add_SNo x33 (minus_SNo 1)) x34 x35))) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x26 x33 x34 = x24 (x21 x33 x34) x22 x23) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x27 x33 x34 = add_SNo (add_SNo (x26 x33 x34) (mul_SNo 2 (add_SNo (mul_SNo 2 (add_SNo x33 x33)) x33))) x33) ⟶ (∀ x33 . x33 ∈ int ⟶ x28 x33 = x33) ⟶ x29 = 1 ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x30 x33 x34 = If_i (SNoLe x33 0) x34 (x27 (x30 (add_SNo x33 (minus_SNo 1)) x34) x33)) ⟶ (∀ x33 . x33 ∈ int ⟶ x31 x33 = x30 (x28 x33) x29) ⟶ (∀ x33 . x33 ∈ int ⟶ x32 x33 = x31 x33) ⟶ ∀ x33 . x33 ∈ int ⟶ SNoLe 0 x33 ⟶ x18 x33 = x32 x33