Proofgold Asset

Param int^int : ι
Param add_SNo^add_SNo : ι → ι → ι
Param ordsucc^ordsucc : ι → ι
Param mul_SNo^mul_SNo : ι → ι → ι
Param minus_SNo^minus_SNo : ι → ι
Param If_i^If_i : ο → ι → ι → ι
Param SNoLe^SNoLe : ι → ι → ο
Conjecture f0561..^A262594 : ∀ 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 : 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 → 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 : 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 → ι . (∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ x26 x27 x28 ∈ 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 . (∀ x32 . x32 ∈ int ⟶ x31 x32 ∈ int) ⟶ ∀ x32 . x32 ∈ int ⟶ ∀ x33 : ι → ι → ι . (∀ x34 . x34 ∈ int ⟶ ∀ x35 . x35 ∈ int ⟶ x33 x34 x35 ∈ 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 → ι . (∀ x37 . x37 ∈ int ⟶ ∀ x38 . x38 ∈ int ⟶ x36 x37 x38 ∈ 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 . x42 ∈ int ⟶ x0 x42 = add_SNo 1 (mul_SNo 2 (add_SNo x42 x42))) ⟶ (∀ x42 . x42 ∈ int ⟶ ∀ x43 . x43 ∈ int ⟶ x1 x42 x43 = add_SNo x43 (minus_SNo 1)) ⟶ x2 = 1 ⟶ (∀ x42 . x42 ∈ int ⟶ ∀ x43 . x43 ∈ int ⟶ x3 x42 x43 = If_i (SNoLe x42 0) x43 (x0 (x3 (add_SNo x42 (minus_SNo 1)) x43))) ⟶ (∀ x42 . x42 ∈ int ⟶ ∀ x43 . x43 ∈ int ⟶ x4 x42 x43 = x3 (x1 x42 x43) x2) ⟶ (∀ x42 . x42 ∈ int ⟶ ∀ x43 . x43 ∈ int ⟶ x5 x42 x43 = add_SNo (x4 x42 x43) x42) ⟶ (∀ x42 . x42 ∈ int ⟶ ∀ x43 . x43 ∈ int ⟶ x6 x42 x43 = x43) ⟶ x7 = 1 ⟶ (∀ x42 . x42 ∈ int ⟶ ∀ x43 . x43 ∈ int ⟶ x8 x42 x43 = If_i (SNoLe x42 0) x43 (x5 (x8 (add_SNo x42 (minus_SNo 1)) x43) x42)) ⟶ (∀ x42 . x42 ∈ int ⟶ ∀ x43 . x43 ∈ int ⟶ x9 x42 x43 = x8 (x6 x42 x43) x7) ⟶ (∀ x42 . x42 ∈ int ⟶ ∀ x43 . x43 ∈ int ⟶ x10 x42 x43 = add_SNo (x9 x42 x43) x42) ⟶ (∀ x42 . x42 ∈ int ⟶ ∀ x43 . x43 ∈ int ⟶ x11 x42 x43 = x43) ⟶ (∀ x42 . x42 ∈ int ⟶ x12 x42 = x42) ⟶ (∀ x42 . x42 ∈ int ⟶ ∀ x43 . x43 ∈ int ⟶ x13 x42 x43 = If_i (SNoLe x42 0) x43 (x10 (x13 (add_SNo x42 (minus_SNo 1)) x43) x42)) ⟶ (∀ x42 . x42 ∈ int ⟶ ∀ x43 . x43 ∈ int ⟶ x14 x42 x43 = x13 (x11 x42 x43) (x12 x42)) ⟶ (∀ x42 . x42 ∈ int ⟶ ∀ x43 . x43 ∈ int ⟶ x15 x42 x43 = x14 x42 x43) ⟶ (∀ x42 . x42 ∈ int ⟶ x16 x42 = x42) ⟶ x17 = 1 ⟶ (∀ x42 . x42 ∈ int ⟶ ∀ x43 . x43 ∈ int ⟶ x18 x42 x43 = If_i (SNoLe x42 0) x43 (x15 (x18 (add_SNo x42 (minus_SNo 1)) x43) x42)) ⟶ (∀ x42 . x42 ∈ int ⟶ x19 x42 = x18 (x16 x42) x17) ⟶ (∀ x42 . x42 ∈ int ⟶ x20 x42 = add_SNo (x19 x42) x42) ⟶ (∀ x42 . x42 ∈ int ⟶ ∀ x43 . x43 ∈ int ⟶ x21 x42 x43 = add_SNo x42 x43) ⟶ (∀ x42 . x42 ∈ int ⟶ ∀ x43 . x43 ∈ int ⟶ x22 x42 x43 = add_SNo x43 (minus_SNo 2)) ⟶ (∀ x42 . x42 ∈ int ⟶ x23 x42 = x42) ⟶ (∀ x42 . x42 ∈ int ⟶ ∀ x43 . x43 ∈ int ⟶ x24 x42 x43 = If_i (SNoLe x42 0) x43 (x21 (x24 (add_SNo x42 (minus_SNo 1)) x43) x42)) ⟶ (∀ x42 . x42 ∈ int ⟶ ∀ x43 . x43 ∈ int ⟶ x25 x42 x43 = x24 (x22 x42 x43) (x23 x42)) ⟶ (∀ x42 . x42 ∈ int ⟶ ∀ x43 . x43 ∈ int ⟶ x26 x42 x43 = add_SNo (x25 x42 x43) (minus_SNo x43)) ⟶ (∀ x42 . x42 ∈ int ⟶ x27 x42 = x42) ⟶ x28 = 1 ⟶ (∀ x42 . x42 ∈ int ⟶ ∀ x43 . x43 ∈ int ⟶ x29 x42 x43 = If_i (SNoLe x42 0) x43 (x26 (x29 (add_SNo x42 (minus_SNo 1)) x43) x42)) ⟶ (∀ x42 . x42 ∈ int ⟶ x30 x42 = x29 (x27 x42) x28) ⟶ (∀ x42 . x42 ∈ int ⟶ x31 x42 = x30 x42) ⟶ x32 = 1 ⟶ (∀ x42 . x42 ∈ int ⟶ ∀ x43 . x43 ∈ int ⟶ x33 x42 x43 = x43) ⟶ (∀ x42 . x42 ∈ int ⟶ ∀ x43 . x43 ∈ int ⟶ x34 x42 x43 = If_i (SNoLe x42 0) x43 (x31 (x34 (add_SNo x42 (minus_SNo 1)) x43))) ⟶ (∀ x42 . x42 ∈ int ⟶ ∀ x43 . x43 ∈ int ⟶ x35 x42 x43 = x34 x32 (x33 x42 x43)) ⟶ (∀ x42 . x42 ∈ int ⟶ ∀ x43 . x43 ∈ int ⟶ x36 x42 x43 = add_SNo (add_SNo (add_SNo (add_SNo (x35 x42 x43) x42) x42) x42) (If_i (SNoLe (add_SNo x42 (minus_SNo 1)) 0) 1 x42)) ⟶ (∀ x42 . x42 ∈ int ⟶ x37 x42 = x42) ⟶ x38 = 1 ⟶ (∀ x42 . x42 ∈ int ⟶ ∀ x43 . x43 ∈ int ⟶ x39 x42 x43 = If_i (SNoLe x42 0) x43 (x36 (x39 (add_SNo x42 (minus_SNo 1)) x43) x42)) ⟶ (∀ x42 . x42 ∈ int ⟶ x40 x42 = x39 (x37 x42) x38) ⟶ (∀ x42 . x42 ∈ int ⟶ x41 x42 = x40 x42) ⟶ ∀ x42 . x42 ∈ int ⟶ SNoLe 0 x42 ⟶ x20 x42 = x41 x42
Conjecture f41ec..^A261391 : ∀ 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 → 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 2 (add_SNo x12 x13)) ⟶ (∀ x12 . x12 ∈ int ⟶ x1 x12 = mul_SNo x12 x12) ⟶ x2 = 2 ⟶ (∀ 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 ∈ int ⟶ x5 x12 = add_SNo (mul_SNo (mul_SNo 2 (x4 x12)) x12) x12) ⟶ (∀ x12 . x12 ∈ int ⟶ x6 x12 = add_SNo (mul_SNo x12 x12) x12) ⟶ x7 = 1 ⟶ (∀ x12 . x12 ∈ int ⟶ x8 x12 = add_SNo 2 (mul_SNo x12 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 (mul_SNo (x10 x12) x12) (minus_SNo x12)) ⟶ ∀ x12 . x12 ∈ int ⟶ SNoLe 0 x12 ⟶ x5 x12 = x11 x12
Conjecture 4bddd..^A26108 : ∀ 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 . (∀ x35 . x35 ∈ int ⟶ x34 x35 ∈ int) ⟶ ∀ x35 : ι → ι . (∀ x36 . x36 ∈ int ⟶ x35 x36 ∈ int) ⟶ ∀ x36 . x36 ∈ 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 : 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 = add_SNo (add_SNo x60 x60) x60) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x1 x60 x61 = add_SNo x61 x61) ⟶ x2 = 1 ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x3 x60 x61 = If_i (SNoLe x60 0) x61 (x0 (x3 (add_SNo x60 (minus_SNo 1)) x61))) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x4 x60 x61 = x3 (x1 x60 x61) x2) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x5 x60 x61 = mul_SNo (add_SNo 2 x61) x60) ⟶ x6 = 2 ⟶ (∀ x60 . x60 ∈ int ⟶ x7 x60 = x60) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x8 x60 x61 = If_i (SNoLe x60 0) x61 (x5 (x8 (add_SNo x60 (minus_SNo 1)) x61) x60)) ⟶ (∀ x60 . x60 ∈ int ⟶ x9 x60 = x8 x6 (x7 x60)) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x10 x60 x61 = add_SNo (x4 x60 x61) (x9 x60)) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x11 x60 x61 = x61) ⟶ x12 = 1 ⟶ (∀ 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 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x14 x60 x61 = x13 (x11 x60 x61) x12) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x15 x60 x61 = add_SNo (add_SNo (x14 x60 x61) (mul_SNo 2 (add_SNo 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) 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 ⟶ ∀ x61 . x61 ∈ int ⟶ x26 x60 x61 = add_SNo 1 (mul_SNo x60 x61)) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x27 x60 x61 = x61) ⟶ (∀ x60 . x60 ∈ int ⟶ x28 x60 = x60) ⟶ x29 = 1 ⟶ x30 = add_SNo 2 (add_SNo 2 2) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ ∀ x62 . x62 ∈ int ⟶ x31 x60 x61 x62 = If_i (SNoLe x60 0) x61 (x26 (x31 (add_SNo x60 (minus_SNo 1)) x61 x62) (x32 (add_SNo x60 (minus_SNo 1)) x61 x62))) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ ∀ x62 . x62 ∈ int ⟶ x32 x60 x61 x62 = If_i (SNoLe x60 0) x62 (x27 (x31 (add_SNo x60 (minus_SNo 1)) x61 x62) (x32 (add_SNo x60 (minus_SNo 1)) x61 x62))) ⟶ (∀ x60 . x60 ∈ int ⟶ x33 x60 = x31 (x28 x60) x29 x30) ⟶ (∀ x60 . x60 ∈ int ⟶ x34 x60 = add_SNo x60 x60) ⟶ (∀ x60 . x60 ∈ int ⟶ x35 x60 = x60) ⟶ x36 = 1 ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x37 x60 x61 = If_i (SNoLe x60 0) x61 (x34 (x37 (add_SNo x60 (minus_SNo 1)) x61))) ⟶ (∀ x60 . x60 ∈ int ⟶ x38 x60 = x37 (x35 x60) x36) ⟶ (∀ x60 . x60 ∈ int ⟶ x39 x60 = mul_SNo (x33 x60) (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 (mul_SNo (add_SNo x60 x60) 2) 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 b9564..^A25998 : ∀ 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 → 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 : ι → ι . (∀ x36 . x36 ∈ int ⟶ x35 x36 ∈ int) ⟶ ∀ x36 . x36 ∈ 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 : 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 ⟶ x0 x50 = add_SNo (mul_SNo 2 (add_SNo x50 x50)) x50) ⟶ (∀ x50 . x50 ∈ int ⟶ x1 x50 = x50) ⟶ (∀ x50 . x50 ∈ int ⟶ x2 x50 = add_SNo x50 x50) ⟶ (∀ x50 . x50 ∈ int ⟶ x3 x50 = x50) ⟶ x4 = 2 ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x5 x50 x51 = If_i (SNoLe x50 0) x51 (x2 (x5 (add_SNo x50 (minus_SNo 1)) x51))) ⟶ (∀ x50 . x50 ∈ int ⟶ x6 x50 = x5 (x3 x50) x4) ⟶ (∀ x50 . x50 ∈ int ⟶ x7 x50 = add_SNo (x6 x50) (minus_SNo 1)) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x8 x50 x51 = If_i (SNoLe x50 0) x51 (x0 (x8 (add_SNo x50 (minus_SNo 1)) x51))) ⟶ (∀ x50 . x50 ∈ int ⟶ x9 x50 = x8 (x1 x50) (x7 x50)) ⟶ (∀ x50 . x50 ∈ int ⟶ x10 x50 = x9 x50) ⟶ x11 = 1 ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x12 x50 x51 = x51) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x13 x50 x51 = If_i (SNoLe x50 0) x51 (x10 (x13 (add_SNo x50 (minus_SNo 1)) x51))) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x14 x50 x51 = x13 x11 (x12 x50 x51)) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x15 x50 x51 = add_SNo (x14 x50 x51) (mul_SNo 2 (mul_SNo 2 (add_SNo x50 x50)))) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x16 x50 x51 = x51) ⟶ x17 = 1 ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x18 x50 x51 = If_i (SNoLe x50 0) x51 (x15 (x18 (add_SNo x50 (minus_SNo 1)) x51) x50)) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x19 x50 x51 = x18 (x16 x50 x51) x17) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x20 x50 x51 = add_SNo (add_SNo (x19 x50 x51) x50) x50) ⟶ (∀ x50 . x50 ∈ int ⟶ x21 x50 = x50) ⟶ x22 = 1 ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x23 x50 x51 = If_i (SNoLe x50 0) x51 (x20 (x23 (add_SNo x50 (minus_SNo 1)) x51) x50)) ⟶ (∀ x50 . x50 ∈ int ⟶ x24 x50 = x23 (x21 x50) x22) ⟶ (∀ x50 . x50 ∈ int ⟶ x25 x50 = x24 x50) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x26 x50 x51 = add_SNo (add_SNo (mul_SNo 2 (add_SNo x50 x50)) x50) x51) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x27 x50 x51 = add_SNo 1 (mul_SNo 2 (add_SNo x51 x51))) ⟶ (∀ x50 . x50 ∈ int ⟶ x28 x50 = x50) ⟶ x29 = 1 ⟶ x30 = add_SNo 1 (add_SNo 2 2) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x31 x50 x51 x52 = If_i (SNoLe x50 0) x51 (x26 (x31 (add_SNo x50 (minus_SNo 1)) x51 x52) (x32 (add_SNo x50 (minus_SNo 1)) x51 x52))) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x32 x50 x51 x52 = If_i (SNoLe x50 0) x52 (x27 (x31 (add_SNo x50 (minus_SNo 1)) x51 x52) (x32 (add_SNo x50 (minus_SNo 1)) x51 x52))) ⟶ (∀ x50 . x50 ∈ int ⟶ x33 x50 = x31 (x28 x50) x29 x30) ⟶ (∀ x50 . x50 ∈ int ⟶ x34 x50 = add_SNo x50 x50) ⟶ (∀ x50 . x50 ∈ int ⟶ x35 x50 = x50) ⟶ x36 = 1 ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x37 x50 x51 = If_i (SNoLe x50 0) x51 (x34 (x37 (add_SNo x50 (minus_SNo 1)) x51))) ⟶ (∀ x50 . x50 ∈ int ⟶ x38 x50 = x37 (x35 x50) x36) ⟶ (∀ x50 . x50 ∈ int ⟶ x39 x50 = mul_SNo (x33 x50) (x38 x50)) ⟶ x40 = 1 ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x41 x50 x51 = x51) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x42 x50 x51 = If_i (SNoLe x50 0) x51 (x39 (x42 (add_SNo x50 (minus_SNo 1)) x51))) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x43 x50 x51 = x42 x40 (x41 x50 x51)) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x44 x50 x51 = add_SNo (add_SNo (x43 x50 x51) (mul_SNo 2 (add_SNo x50 x50))) x50) ⟶ (∀ x50 . x50 ∈ int ⟶ x45 x50 = x50) ⟶ x46 = 1 ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x47 x50 x51 = If_i (SNoLe x50 0) x51 (x44 (x47 (add_SNo x50 (minus_SNo 1)) x51) x50)) ⟶ (∀ x50 . x50 ∈ int ⟶ x48 x50 = x47 (x45 x50) x46) ⟶ (∀ x50 . x50 ∈ int ⟶ x49 x50 = x48 x50) ⟶ ∀ x50 . x50 ∈ int ⟶ SNoLe 0 x50 ⟶ x25 x50 = x49 x50
Conjecture 4d3ad..^A25995 : ∀ 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 : ι → ι → ι . (∀ x15 . x15 ∈ int ⟶ ∀ x16 . x16 ∈ int ⟶ x14 x15 x16 ∈ int) ⟶ ∀ x15 . x15 ∈ 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 → ι . (∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ x26 x27 x28 ∈ 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 → 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 → ι . (∀ x34 . x34 ∈ int ⟶ ∀ x35 . x35 ∈ int ⟶ x33 x34 x35 ∈ int) ⟶ ∀ x34 . x34 ∈ int ⟶ ∀ x35 : ι → ι → ι . (∀ x36 . x36 ∈ int ⟶ ∀ x37 . x37 ∈ int ⟶ x35 x36 x37 ∈ 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 : 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 . x44 ∈ int ⟶ x0 x43 x44 = mul_SNo (add_SNo 2 x44) x43) ⟶ x1 = 2 ⟶ (∀ x43 . x43 ∈ int ⟶ x2 x43 = x43) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x3 x43 x44 = If_i (SNoLe x43 0) x44 (x0 (x3 (add_SNo x43 (minus_SNo 1)) x44) x43)) ⟶ (∀ x43 . x43 ∈ int ⟶ x4 x43 = x3 x1 (x2 x43)) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x5 x43 x44 = add_SNo (add_SNo (x4 x43) (minus_SNo x43)) x44) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x6 x43 x44 = add_SNo x44 x44) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x7 x43 x44 = x44) ⟶ x8 = 1 ⟶ x9 = 2 ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ ∀ x45 . x45 ∈ int ⟶ x10 x43 x44 x45 = If_i (SNoLe x43 0) x44 (x5 (x10 (add_SNo x43 (minus_SNo 1)) x44 x45) (x11 (add_SNo x43 (minus_SNo 1)) x44 x45))) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ ∀ x45 . x45 ∈ int ⟶ x11 x43 x44 x45 = If_i (SNoLe x43 0) x45 (x6 (x10 (add_SNo x43 (minus_SNo 1)) x44 x45) (x11 (add_SNo x43 (minus_SNo 1)) x44 x45))) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x12 x43 x44 = x10 (x7 x43 x44) x8 x9) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x13 x43 x44 = add_SNo (add_SNo (x12 x43 x44) (mul_SNo 2 (add_SNo (add_SNo x43 x43) x43))) x43) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x14 x43 x44 = x44) ⟶ x15 = 1 ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x16 x43 x44 = If_i (SNoLe x43 0) x44 (x13 (x16 (add_SNo x43 (minus_SNo 1)) x44) x43)) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x17 x43 x44 = x16 (x14 x43 x44) x15) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x18 x43 x44 = add_SNo (add_SNo (x17 x43 x44) (mul_SNo 2 (add_SNo x43 x43))) x43) ⟶ (∀ x43 . x43 ∈ int ⟶ x19 x43 = x43) ⟶ x20 = 1 ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x21 x43 x44 = If_i (SNoLe x43 0) x44 (x18 (x21 (add_SNo x43 (minus_SNo 1)) x44) x43)) ⟶ (∀ x43 . x43 ∈ int ⟶ x22 x43 = x21 (x19 x43) x20) ⟶ (∀ x43 . x43 ∈ int ⟶ x23 x43 = x22 x43) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x24 x43 x44 = add_SNo (add_SNo (mul_SNo 2 (add_SNo x43 x43)) x43) x44) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x25 x43 x44 = add_SNo x44 x44) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x26 x43 x44 = x44) ⟶ x27 = 1 ⟶ x28 = 2 ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ ∀ x45 . x45 ∈ int ⟶ x29 x43 x44 x45 = If_i (SNoLe x43 0) x44 (x24 (x29 (add_SNo x43 (minus_SNo 1)) x44 x45) (x30 (add_SNo x43 (minus_SNo 1)) x44 x45))) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ ∀ x45 . x45 ∈ int ⟶ x30 x43 x44 x45 = If_i (SNoLe x43 0) x45 (x25 (x29 (add_SNo x43 (minus_SNo 1)) x44 x45) (x30 (add_SNo x43 (minus_SNo 1)) x44 x45))) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x31 x43 x44 = x29 (x26 x43 x44) x27 x28) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x32 x43 x44 = add_SNo (add_SNo (x31 x43 x44) (mul_SNo 2 (add_SNo (add_SNo x43 x43) x43))) x43) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x33 x43 x44 = x44) ⟶ x34 = 1 ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x35 x43 x44 = If_i (SNoLe x43 0) x44 (x32 (x35 (add_SNo x43 (minus_SNo 1)) x44) x43)) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x36 x43 x44 = x35 (x33 x43 x44) x34) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x37 x43 x44 = add_SNo (add_SNo (x36 x43 x44) (mul_SNo 2 (add_SNo (mul_SNo 2 (add_SNo x43 x43)) x43))) x43) ⟶ (∀ x43 . x43 ∈ int ⟶ x38 x43 = x43) ⟶ x39 = 1 ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x40 x43 x44 = If_i (SNoLe x43 0) x44 (x37 (x40 (add_SNo x43 (minus_SNo 1)) x44) x43)) ⟶ (∀ x43 . x43 ∈ int ⟶ x41 x43 = x40 (x38 x43) x39) ⟶ (∀ x43 . x43 ∈ int ⟶ x42 x43 = x41 x43) ⟶ ∀ x43 . x43 ∈ int ⟶ SNoLe 0 x43 ⟶ x23 x43 = x42 x43
Conjecture 41e98..^A25994 : ∀ 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 = add_SNo (mul_SNo 2 (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) 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 1 (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) 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 3dd81..^A25991 : ∀ 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 → 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 : ι → ι . (∀ x36 . x36 ∈ int ⟶ x35 x36 ∈ int) ⟶ ∀ x36 . x36 ∈ 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 : 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 ⟶ x0 x50 = mul_SNo 2 (add_SNo (add_SNo x50 x50) x50)) ⟶ (∀ x50 . x50 ∈ int ⟶ x1 x50 = x50) ⟶ (∀ x50 . x50 ∈ int ⟶ x2 x50 = add_SNo x50 x50) ⟶ (∀ x50 . x50 ∈ int ⟶ x3 x50 = x50) ⟶ x4 = 2 ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x5 x50 x51 = If_i (SNoLe x50 0) x51 (x2 (x5 (add_SNo x50 (minus_SNo 1)) x51))) ⟶ (∀ x50 . x50 ∈ int ⟶ x6 x50 = x5 (x3 x50) x4) ⟶ (∀ x50 . x50 ∈ int ⟶ x7 x50 = add_SNo (x6 x50) (minus_SNo 1)) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x8 x50 x51 = If_i (SNoLe x50 0) x51 (x0 (x8 (add_SNo x50 (minus_SNo 1)) x51))) ⟶ (∀ x50 . x50 ∈ int ⟶ x9 x50 = x8 (x1 x50) (x7 x50)) ⟶ (∀ x50 . x50 ∈ int ⟶ x10 x50 = x9 x50) ⟶ x11 = 1 ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x12 x50 x51 = x51) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x13 x50 x51 = If_i (SNoLe x50 0) x51 (x10 (x13 (add_SNo x50 (minus_SNo 1)) x51))) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x14 x50 x51 = x13 x11 (x12 x50 x51)) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x15 x50 x51 = add_SNo (add_SNo (x14 x50 x51) (mul_SNo 2 (add_SNo x50 x50))) x50) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x16 x50 x51 = x51) ⟶ x17 = 1 ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x18 x50 x51 = If_i (SNoLe x50 0) x51 (x15 (x18 (add_SNo x50 (minus_SNo 1)) x51) x50)) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x19 x50 x51 = x18 (x16 x50 x51) x17) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x20 x50 x51 = add_SNo (add_SNo (x19 x50 x51) x50) x50) ⟶ (∀ x50 . x50 ∈ int ⟶ x21 x50 = x50) ⟶ x22 = 1 ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x23 x50 x51 = If_i (SNoLe x50 0) x51 (x20 (x23 (add_SNo x50 (minus_SNo 1)) x51) x50)) ⟶ (∀ x50 . x50 ∈ int ⟶ x24 x50 = x23 (x21 x50) x22) ⟶ (∀ x50 . x50 ∈ int ⟶ x25 x50 = x24 x50) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x26 x50 x51 = add_SNo (mul_SNo 2 (add_SNo (add_SNo x50 x50) x50)) x51) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x27 x50 x51 = add_SNo 1 (add_SNo (add_SNo x51 x51) x51)) ⟶ (∀ x50 . x50 ∈ int ⟶ x28 x50 = x50) ⟶ x29 = 1 ⟶ x30 = add_SNo 2 2 ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x31 x50 x51 x52 = If_i (SNoLe x50 0) x51 (x26 (x31 (add_SNo x50 (minus_SNo 1)) x51 x52) (x32 (add_SNo x50 (minus_SNo 1)) x51 x52))) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x32 x50 x51 x52 = If_i (SNoLe x50 0) x52 (x27 (x31 (add_SNo x50 (minus_SNo 1)) x51 x52) (x32 (add_SNo x50 (minus_SNo 1)) x51 x52))) ⟶ (∀ x50 . x50 ∈ int ⟶ x33 x50 = x31 (x28 x50) x29 x30) ⟶ (∀ x50 . x50 ∈ int ⟶ x34 x50 = add_SNo x50 x50) ⟶ (∀ x50 . x50 ∈ int ⟶ x35 x50 = x50) ⟶ x36 = 1 ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x37 x50 x51 = If_i (SNoLe x50 0) x51 (x34 (x37 (add_SNo x50 (minus_SNo 1)) x51))) ⟶ (∀ x50 . x50 ∈ int ⟶ x38 x50 = x37 (x35 x50) x36) ⟶ (∀ x50 . x50 ∈ int ⟶ x39 x50 = mul_SNo (x33 x50) (x38 x50)) ⟶ x40 = 1 ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x41 x50 x51 = x51) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x42 x50 x51 = If_i (SNoLe x50 0) x51 (x39 (x42 (add_SNo x50 (minus_SNo 1)) x51))) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x43 x50 x51 = x42 x40 (x41 x50 x51)) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x44 x50 x51 = add_SNo (add_SNo (x43 x50 x51) (mul_SNo 2 (add_SNo x50 x50))) x50) ⟶ (∀ x50 . x50 ∈ int ⟶ x45 x50 = x50) ⟶ x46 = 1 ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x47 x50 x51 = If_i (SNoLe x50 0) x51 (x44 (x47 (add_SNo x50 (minus_SNo 1)) x51) x50)) ⟶ (∀ x50 . x50 ∈ int ⟶ x48 x50 = x47 (x45 x50) x46) ⟶ (∀ x50 . x50 ∈ int ⟶ x49 x50 = x48 x50) ⟶ ∀ x50 . x50 ∈ int ⟶ SNoLe 0 x50 ⟶ x25 x50 = x49 x50
Conjecture 6e888..^A25985 : ∀ 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 . (∀ x30 . x30 ∈ int ⟶ x29 x30 ∈ int) ⟶ ∀ x30 : ι → ι . (∀ x31 . x31 ∈ int ⟶ x30 x31 ∈ int) ⟶ ∀ x31 . x31 ∈ 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 : ι → ι . (∀ x35 . x35 ∈ int ⟶ x34 x35 ∈ int) ⟶ ∀ x35 : ι → ι . (∀ x36 . x36 ∈ int ⟶ x35 x36 ∈ int) ⟶ ∀ x36 . x36 ∈ 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 : 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 . 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 . x56 ∈ int ⟶ x0 x55 x56 = mul_SNo (add_SNo 2 x56) x55) ⟶ x1 = 2 ⟶ (∀ x55 . x55 ∈ int ⟶ x2 x55 = x55) ⟶ (∀ x55 . x55 ∈ int ⟶ ∀ x56 . x56 ∈ int ⟶ x3 x55 x56 = If_i (SNoLe x55 0) x56 (x0 (x3 (add_SNo x55 (minus_SNo 1)) x56) x55)) ⟶ (∀ x55 . x55 ∈ int ⟶ x4 x55 = x3 x1 (x2 x55)) ⟶ (∀ x55 . x55 ∈ int ⟶ ∀ x56 . x56 ∈ int ⟶ x5 x55 x56 = add_SNo (add_SNo (x4 x55) (minus_SNo x55)) (mul_SNo x56 x56)) ⟶ (∀ x55 . x55 ∈ int ⟶ ∀ x56 . x56 ∈ int ⟶ x6 x55 x56 = add_SNo x56 x56) ⟶ (∀ x55 . x55 ∈ int ⟶ ∀ x56 . x56 ∈ int ⟶ x7 x55 x56 = x56) ⟶ x8 = 1 ⟶ x9 = 2 ⟶ (∀ x55 . x55 ∈ int ⟶ ∀ x56 . x56 ∈ int ⟶ ∀ x57 . x57 ∈ int ⟶ x10 x55 x56 x57 = If_i (SNoLe x55 0) x56 (x5 (x10 (add_SNo x55 (minus_SNo 1)) x56 x57) (x11 (add_SNo x55 (minus_SNo 1)) x56 x57))) ⟶ (∀ x55 . x55 ∈ int ⟶ ∀ x56 . x56 ∈ int ⟶ ∀ x57 . x57 ∈ int ⟶ x11 x55 x56 x57 = If_i (SNoLe x55 0) x57 (x6 (x10 (add_SNo x55 (minus_SNo 1)) x56 x57) (x11 (add_SNo x55 (minus_SNo 1)) x56 x57))) ⟶ (∀ x55 . x55 ∈ int ⟶ ∀ x56 . x56 ∈ int ⟶ x12 x55 x56 = x10 (x7 x55 x56) x8 x9) ⟶ (∀ x55 . x55 ∈ int ⟶ ∀ x56 . x56 ∈ int ⟶ x13 x55 x56 = mul_SNo (add_SNo 2 x56) x55) ⟶ x14 = 2 ⟶ (∀ x55 . x55 ∈ int ⟶ x15 x55 = x55) ⟶ (∀ x55 . x55 ∈ int ⟶ ∀ x56 . x56 ∈ int ⟶ x16 x55 x56 = If_i (SNoLe x55 0) x56 (x13 (x16 (add_SNo x55 (minus_SNo 1)) x56) x55)) ⟶ (∀ x55 . x55 ∈ int ⟶ x17 x55 = x16 x14 (x15 x55)) ⟶ (∀ x55 . x55 ∈ int ⟶ ∀ x56 . x56 ∈ int ⟶ x18 x55 x56 = add_SNo (x12 x55 x56) (x17 x55)) ⟶ (∀ x55 . x55 ∈ int ⟶ ∀ x56 . x56 ∈ int ⟶ x19 x55 x56 = x56) ⟶ x20 = 1 ⟶ (∀ x55 . x55 ∈ int ⟶ ∀ x56 . x56 ∈ int ⟶ x21 x55 x56 = If_i (SNoLe x55 0) x56 (x18 (x21 (add_SNo x55 (minus_SNo 1)) x56) x55)) ⟶ (∀ x55 . x55 ∈ int ⟶ ∀ x56 . x56 ∈ int ⟶ x22 x55 x56 = x21 (x19 x55 x56) x20) ⟶ (∀ x55 . x55 ∈ int ⟶ ∀ x56 . x56 ∈ int ⟶ x23 x55 x56 = add_SNo (add_SNo (x22 x55 x56) x55) x55) ⟶ (∀ x55 . x55 ∈ int ⟶ x24 x55 = x55) ⟶ x25 = 1 ⟶ (∀ x55 . x55 ∈ int ⟶ ∀ x56 . x56 ∈ int ⟶ x26 x55 x56 = If_i (SNoLe x55 0) x56 (x23 (x26 (add_SNo x55 (minus_SNo 1)) x56) x55)) ⟶ (∀ x55 . x55 ∈ int ⟶ x27 x55 = x26 (x24 x55) x25) ⟶ (∀ x55 . x55 ∈ int ⟶ x28 x55 = x27 x55) ⟶ (∀ x55 . x55 ∈ int ⟶ x29 x55 = add_SNo (mul_SNo 2 (add_SNo (add_SNo x55 x55) x55)) (minus_SNo 1)) ⟶ (∀ x55 . x55 ∈ int ⟶ x30 x55 = x55) ⟶ x31 = 2 ⟶ (∀ x55 . x55 ∈ int ⟶ ∀ x56 . x56 ∈ int ⟶ x32 x55 x56 = If_i (SNoLe x55 0) x56 (x29 (x32 (add_SNo x55 (minus_SNo 1)) x56))) ⟶ (∀ x55 . x55 ∈ int ⟶ x33 x55 = x32 (x30 x55) x31) ⟶ (∀ x55 . x55 ∈ int ⟶ x34 x55 = add_SNo x55 x55) ⟶ (∀ x55 . x55 ∈ int ⟶ x35 x55 = x55) ⟶ x36 = 1 ⟶ (∀ x55 . x55 ∈ int ⟶ ∀ x56 . x56 ∈ int ⟶ x37 x55 x56 = If_i (SNoLe x55 0) x56 (x34 (x37 (add_SNo x55 (minus_SNo 1)) x56))) ⟶ (∀ x55 . x55 ∈ int ⟶ x38 x55 = x37 (x35 x55) x36) ⟶ (∀ x55 . x55 ∈ int ⟶ x39 x55 = add_SNo x55 x55) ⟶ (∀ x55 . x55 ∈ int ⟶ x40 x55 = x55) ⟶ x41 = 1 ⟶ (∀ x55 . x55 ∈ int ⟶ ∀ x56 . x56 ∈ int ⟶ x42 x55 x56 = If_i (SNoLe x55 0) x56 (x39 (x42 (add_SNo x55 (minus_SNo 1)) x56))) ⟶ (∀ x55 . x55 ∈ int ⟶ x43 x55 = x42 (x40 x55) x41) ⟶ (∀ x55 . x55 ∈ int ⟶ x44 x55 = mul_SNo (add_SNo (x33 x55) (minus_SNo (x38 x55))) (x43 x55)) ⟶ x45 = 1 ⟶ (∀ x55 . x55 ∈ int ⟶ ∀ x56 . x56 ∈ int ⟶ x46 x55 x56 = x56) ⟶ (∀ x55 . x55 ∈ int ⟶ ∀ x56 . x56 ∈ int ⟶ x47 x55 x56 = If_i (SNoLe x55 0) x56 (x44 (x47 (add_SNo x55 (minus_SNo 1)) x56))) ⟶ (∀ x55 . x55 ∈ int ⟶ ∀ x56 . x56 ∈ int ⟶ x48 x55 x56 = x47 x45 (x46 x55 x56)) ⟶ (∀ x55 . x55 ∈ int ⟶ ∀ x56 . x56 ∈ int ⟶ x49 x55 x56 = add_SNo (add_SNo (x48 x55 x56) (mul_SNo 2 (add_SNo (mul_SNo 2 (add_SNo x55 x55)) x55))) x55) ⟶ (∀ x55 . x55 ∈ int ⟶ x50 x55 = x55) ⟶ x51 = 1 ⟶ (∀ x55 . x55 ∈ int ⟶ ∀ x56 . x56 ∈ int ⟶ x52 x55 x56 = If_i (SNoLe x55 0) x56 (x49 (x52 (add_SNo x55 (minus_SNo 1)) x56) x55)) ⟶ (∀ x55 . x55 ∈ int ⟶ x53 x55 = x52 (x50 x55) x51) ⟶ (∀ x55 . x55 ∈ int ⟶ x54 x55 = x53 x55) ⟶ ∀ x55 . x55 ∈ int ⟶ SNoLe 0 x55 ⟶ x28 x55 = x54 x55
Conjecture 83a44..^A25968 : ∀ 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 . (∀ 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 . (∀ 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 . x39 ∈ int ⟶ x0 x38 x39 = add_SNo (add_SNo (mul_SNo 2 (add_SNo (add_SNo x38 x38) x39)) (minus_SNo 1)) x38) ⟶ (∀ x38 . x38 ∈ int ⟶ ∀ x39 . x39 ∈ int ⟶ x1 x38 x39 = add_SNo x39 x39) ⟶ (∀ x38 . x38 ∈ int ⟶ ∀ x39 . x39 ∈ int ⟶ x2 x38 x39 = x39) ⟶ x3 = 1 ⟶ x4 = 2 ⟶ (∀ x38 . x38 ∈ int ⟶ ∀ x39 . x39 ∈ int ⟶ ∀ x40 . x40 ∈ int ⟶ x5 x38 x39 x40 = If_i (SNoLe x38 0) x39 (x0 (x5 (add_SNo x38 (minus_SNo 1)) x39 x40) (x6 (add_SNo x38 (minus_SNo 1)) x39 x40))) ⟶ (∀ x38 . x38 ∈ int ⟶ ∀ x39 . x39 ∈ int ⟶ ∀ x40 . x40 ∈ int ⟶ x6 x38 x39 x40 = If_i (SNoLe x38 0) x40 (x1 (x5 (add_SNo x38 (minus_SNo 1)) x39 x40) (x6 (add_SNo x38 (minus_SNo 1)) x39 x40))) ⟶ (∀ x38 . x38 ∈ int ⟶ ∀ x39 . x39 ∈ int ⟶ x7 x38 x39 = x5 (x2 x38 x39) x3 x4) ⟶ (∀ x38 . x38 ∈ int ⟶ ∀ x39 . x39 ∈ int ⟶ x8 x38 x39 = add_SNo (add_SNo (add_SNo (x7 x38 x39) x38) x38) x38) ⟶ (∀ x38 . x38 ∈ int ⟶ x9 x38 = x38) ⟶ x10 = 1 ⟶ (∀ x38 . x38 ∈ int ⟶ ∀ x39 . x39 ∈ int ⟶ x11 x38 x39 = If_i (SNoLe x38 0) x39 (x8 (x11 (add_SNo x38 (minus_SNo 1)) x39) x38)) ⟶ (∀ x38 . x38 ∈ int ⟶ x12 x38 = x11 (x9 x38) x10) ⟶ (∀ x38 . x38 ∈ int ⟶ x13 x38 = add_SNo x38 x38) ⟶ (∀ x38 . x38 ∈ int ⟶ x14 x38 = x38) ⟶ x15 = 1 ⟶ (∀ x38 . x38 ∈ int ⟶ ∀ x39 . x39 ∈ int ⟶ x16 x38 x39 = If_i (SNoLe x38 0) x39 (x13 (x16 (add_SNo x38 (minus_SNo 1)) x39))) ⟶ (∀ x38 . x38 ∈ int ⟶ x17 x38 = x16 (x14 x38) x15) ⟶ (∀ x38 . x38 ∈ int ⟶ x18 x38 = mul_SNo (x12 x38) (x17 x38)) ⟶ (∀ x38 . x38 ∈ int ⟶ ∀ x39 . x39 ∈ int ⟶ x19 x38 x39 = add_SNo (add_SNo (mul_SNo 2 (add_SNo x38 x39)) (minus_SNo 1)) x38) ⟶ (∀ x38 . x38 ∈ int ⟶ ∀ x39 . x39 ∈ int ⟶ x20 x38 x39 = add_SNo x39 x39) ⟶ (∀ x38 . x38 ∈ int ⟶ ∀ x39 . x39 ∈ int ⟶ x21 x38 x39 = x39) ⟶ x22 = 1 ⟶ x23 = 2 ⟶ (∀ x38 . x38 ∈ int ⟶ ∀ x39 . x39 ∈ int ⟶ ∀ x40 . x40 ∈ int ⟶ x24 x38 x39 x40 = If_i (SNoLe x38 0) x39 (x19 (x24 (add_SNo x38 (minus_SNo 1)) x39 x40) (x25 (add_SNo x38 (minus_SNo 1)) x39 x40))) ⟶ (∀ x38 . x38 ∈ int ⟶ ∀ x39 . x39 ∈ int ⟶ ∀ x40 . x40 ∈ int ⟶ x25 x38 x39 x40 = If_i (SNoLe x38 0) x40 (x20 (x24 (add_SNo x38 (minus_SNo 1)) x39 x40) (x25 (add_SNo x38 (minus_SNo 1)) x39 x40))) ⟶ (∀ x38 . x38 ∈ int ⟶ ∀ x39 . x39 ∈ int ⟶ x26 x38 x39 = x24 (x21 x38 x39) x22 x23) ⟶ (∀ x38 . x38 ∈ int ⟶ ∀ x39 . x39 ∈ int ⟶ x27 x38 x39 = add_SNo (add_SNo (x26 x38 x39) (mul_SNo 2 (add_SNo x38 x38))) x38) ⟶ (∀ x38 . x38 ∈ int ⟶ x28 x38 = x38) ⟶ x29 = 1 ⟶ (∀ x38 . x38 ∈ int ⟶ ∀ x39 . x39 ∈ int ⟶ x30 x38 x39 = If_i (SNoLe x38 0) x39 (x27 (x30 (add_SNo x38 (minus_SNo 1)) x39) x38)) ⟶ (∀ x38 . x38 ∈ int ⟶ x31 x38 = x30 (x28 x38) x29) ⟶ (∀ x38 . x38 ∈ int ⟶ x32 x38 = add_SNo x38 x38) ⟶ (∀ x38 . x38 ∈ int ⟶ x33 x38 = x38) ⟶ x34 = 1 ⟶ (∀ x38 . x38 ∈ int ⟶ ∀ x39 . x39 ∈ int ⟶ x35 x38 x39 = If_i (SNoLe x38 0) x39 (x32 (x35 (add_SNo x38 (minus_SNo 1)) x39))) ⟶ (∀ x38 . x38 ∈ int ⟶ x36 x38 = x35 (x33 x38) x34) ⟶ (∀ x38 . x38 ∈ int ⟶ x37 x38 = mul_SNo (x31 x38) (x36 x38)) ⟶ ∀ x38 . x38 ∈ int ⟶ SNoLe 0 x38 ⟶ x18 x38 = x37 x38
Conjecture 2899b..^A25957 : ∀ 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 → ι . (∀ x32 . x32 ∈ int ⟶ ∀ x33 . x33 ∈ int ⟶ x31 x32 x33 ∈ 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 → 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 → ι . (∀ x39 . x39 ∈ int ⟶ ∀ x40 . x40 ∈ int ⟶ x38 x39 x40 ∈ int) ⟶ ∀ x39 . x39 ∈ 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 = mul_SNo (add_SNo 2 x49) x48) ⟶ x1 = 2 ⟶ (∀ x48 . x48 ∈ int ⟶ x2 x48 = x48) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x3 x48 x49 = If_i (SNoLe x48 0) x49 (x0 (x3 (add_SNo x48 (minus_SNo 1)) x49) x48)) ⟶ (∀ x48 . x48 ∈ int ⟶ x4 x48 = x3 x1 (x2 x48)) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x5 x48 x49 = add_SNo (add_SNo (x4 x48) (minus_SNo x48)) x49) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x6 x48 x49 = add_SNo x49 x49) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x7 x48 x49 = x49) ⟶ x8 = 1 ⟶ x9 = 2 ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ ∀ x50 . x50 ∈ int ⟶ x10 x48 x49 x50 = If_i (SNoLe x48 0) x49 (x5 (x10 (add_SNo x48 (minus_SNo 1)) x49 x50) (x11 (add_SNo x48 (minus_SNo 1)) x49 x50))) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ ∀ x50 . x50 ∈ int ⟶ x11 x48 x49 x50 = If_i (SNoLe x48 0) x50 (x6 (x10 (add_SNo x48 (minus_SNo 1)) x49 x50) (x11 (add_SNo x48 (minus_SNo 1)) x49 x50))) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x12 x48 x49 = x10 (x7 x48 x49) x8 x9) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x13 x48 x49 = mul_SNo (add_SNo 2 x49) x48) ⟶ x14 = 2 ⟶ (∀ x48 . x48 ∈ int ⟶ x15 x48 = x48) ⟶ (∀ 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 (x15 x48)) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x18 x48 x49 = add_SNo (x12 x48 x49) (x17 x48)) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x19 x48 x49 = x49) ⟶ x20 = 1 ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x21 x48 x49 = If_i (SNoLe x48 0) x49 (x18 (x21 (add_SNo x48 (minus_SNo 1)) x49) x48)) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x22 x48 x49 = x21 (x19 x48 x49) x20) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x23 x48 x49 = add_SNo (add_SNo (add_SNo (x22 x48 x49) x48) x48) x48) ⟶ (∀ x48 . x48 ∈ int ⟶ x24 x48 = x48) ⟶ x25 = 1 ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x26 x48 x49 = If_i (SNoLe x48 0) x49 (x23 (x26 (add_SNo x48 (minus_SNo 1)) x49) x48)) ⟶ (∀ x48 . x48 ∈ int ⟶ x27 x48 = x26 (x24 x48) x25) ⟶ (∀ x48 . x48 ∈ int ⟶ x28 x48 = x27 x48) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x29 x48 x49 = add_SNo (add_SNo (add_SNo x48 x48) x48) x49) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x30 x48 x49 = add_SNo x49 x49) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x31 x48 x49 = x49) ⟶ x32 = 1 ⟶ x33 = 2 ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ ∀ x50 . x50 ∈ int ⟶ x34 x48 x49 x50 = If_i (SNoLe x48 0) x49 (x29 (x34 (add_SNo x48 (minus_SNo 1)) x49 x50) (x35 (add_SNo x48 (minus_SNo 1)) x49 x50))) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ ∀ x50 . x50 ∈ int ⟶ x35 x48 x49 x50 = If_i (SNoLe x48 0) x50 (x30 (x34 (add_SNo x48 (minus_SNo 1)) x49 x50) (x35 (add_SNo x48 (minus_SNo 1)) x49 x50))) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x36 x48 x49 = x34 (x31 x48 x49) x32 x33) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x37 x48 x49 = add_SNo (x36 x48 x49) (mul_SNo 2 (mul_SNo 2 (add_SNo (add_SNo x48 x48) x48)))) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x38 x48 x49 = x49) ⟶ x39 = 1 ⟶ (∀ 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 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x41 x48 x49 = x40 (x38 x48 x49) x39) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x42 x48 x49 = add_SNo (add_SNo (x41 x48 x49) (mul_SNo 2 (add_SNo (mul_SNo 2 (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 ⟶ x28 x48 = x47 x48
Conjecture b790a..^A25956 : ∀ 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 → ι . (∀ x15 . x15 ∈ int ⟶ ∀ x16 . x16 ∈ int ⟶ x14 x15 x16 ∈ int) ⟶ ∀ x15 . x15 ∈ 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 . (∀ 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 (mul_SNo 2 (add_SNo x48 x48)) x48)) 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 = mul_SNo (add_SNo 2 x49) x48) ⟶ x9 = 2 ⟶ (∀ x48 . x48 ∈ int ⟶ x10 x48 = x48) ⟶ (∀ 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 ⟶ x12 x48 = x11 x9 (x10 x48)) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x13 x48 x49 = add_SNo (x7 x48 x49) (x12 x48)) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x14 x48 x49 = x49) ⟶ 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 ⟶ ∀ x49 . x49 ∈ int ⟶ x17 x48 x49 = x16 (x14 x48 x49) x15) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x18 x48 x49 = add_SNo (add_SNo (add_SNo (x17 x48 x49) x48) x48) x48) ⟶ (∀ x48 . x48 ∈ int ⟶ x19 x48 = x48) ⟶ x20 = 1 ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x21 x48 x49 = If_i (SNoLe x48 0) x49 (x18 (x21 (add_SNo x48 (minus_SNo 1)) x49) x48)) ⟶ (∀ x48 . x48 ∈ int ⟶ x22 x48 = x21 (x19 x48) x20) ⟶ (∀ x48 . x48 ∈ int ⟶ x23 x48 = x22 x48) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x24 x48 x49 = add_SNo (mul_SNo 2 (add_SNo (add_SNo x48 x48) x48)) x49) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x25 x48 x49 = add_SNo 1 (add_SNo (mul_SNo 2 (add_SNo x49 x49)) x49)) ⟶ (∀ x48 . x48 ∈ int ⟶ x26 x48 = x48) ⟶ x27 = 1 ⟶ x28 = add_SNo 2 (add_SNo 2 2) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ ∀ x50 . x50 ∈ int ⟶ x29 x48 x49 x50 = If_i (SNoLe x48 0) x49 (x24 (x29 (add_SNo x48 (minus_SNo 1)) x49 x50) (x30 (add_SNo x48 (minus_SNo 1)) x49 x50))) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ ∀ x50 . x50 ∈ int ⟶ x30 x48 x49 x50 = If_i (SNoLe x48 0) x50 (x25 (x29 (add_SNo x48 (minus_SNo 1)) x49 x50) (x30 (add_SNo x48 (minus_SNo 1)) x49 x50))) ⟶ (∀ x48 . x48 ∈ int ⟶ x31 x48 = x29 (x26 x48) x27 x28) ⟶ (∀ 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 (add_SNo (x41 x48 x49) 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 ⟶ x23 x48 = x47 x48
Conjecture 93d3d..^A25955 : ∀ 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 : ι → ι → ι . (∀ x15 . x15 ∈ int ⟶ ∀ x16 . x16 ∈ int ⟶ x14 x15 x16 ∈ int) ⟶ ∀ x15 . x15 ∈ 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 → ι . (∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ x26 x27 x28 ∈ 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 → 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 → ι . (∀ x34 . x34 ∈ int ⟶ ∀ x35 . x35 ∈ int ⟶ x33 x34 x35 ∈ int) ⟶ ∀ x34 . x34 ∈ int ⟶ ∀ x35 : ι → ι → ι . (∀ x36 . x36 ∈ int ⟶ ∀ x37 . x37 ∈ int ⟶ x35 x36 x37 ∈ 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 : 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 . x44 ∈ int ⟶ x0 x43 x44 = mul_SNo (add_SNo 2 x44) x43) ⟶ x1 = 2 ⟶ (∀ x43 . x43 ∈ int ⟶ x2 x43 = x43) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x3 x43 x44 = If_i (SNoLe x43 0) x44 (x0 (x3 (add_SNo x43 (minus_SNo 1)) x44) x43)) ⟶ (∀ x43 . x43 ∈ int ⟶ x4 x43 = x3 x1 (x2 x43)) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x5 x43 x44 = add_SNo (add_SNo (x4 x43) (minus_SNo x43)) x44) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x6 x43 x44 = add_SNo x44 x44) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x7 x43 x44 = x44) ⟶ x8 = 1 ⟶ x9 = 2 ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ ∀ x45 . x45 ∈ int ⟶ x10 x43 x44 x45 = If_i (SNoLe x43 0) x44 (x5 (x10 (add_SNo x43 (minus_SNo 1)) x44 x45) (x11 (add_SNo x43 (minus_SNo 1)) x44 x45))) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ ∀ x45 . x45 ∈ int ⟶ x11 x43 x44 x45 = If_i (SNoLe x43 0) x45 (x6 (x10 (add_SNo x43 (minus_SNo 1)) x44 x45) (x11 (add_SNo x43 (minus_SNo 1)) x44 x45))) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x12 x43 x44 = x10 (x7 x43 x44) x8 x9) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x13 x43 x44 = add_SNo (x12 x43 x44) (mul_SNo 2 (add_SNo (mul_SNo 2 (add_SNo x43 x43)) x43))) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x14 x43 x44 = x44) ⟶ x15 = 1 ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x16 x43 x44 = If_i (SNoLe x43 0) x44 (x13 (x16 (add_SNo x43 (minus_SNo 1)) x44) x43)) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x17 x43 x44 = x16 (x14 x43 x44) x15) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x18 x43 x44 = add_SNo (add_SNo (add_SNo (x17 x43 x44) x43) x43) x43) ⟶ (∀ x43 . x43 ∈ int ⟶ x19 x43 = x43) ⟶ x20 = 1 ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x21 x43 x44 = If_i (SNoLe x43 0) x44 (x18 (x21 (add_SNo x43 (minus_SNo 1)) x44) x43)) ⟶ (∀ x43 . x43 ∈ int ⟶ x22 x43 = x21 (x19 x43) x20) ⟶ (∀ x43 . x43 ∈ int ⟶ x23 x43 = x22 x43) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x24 x43 x44 = add_SNo (add_SNo (add_SNo x43 x43) x43) x44) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x25 x43 x44 = add_SNo x44 x44) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x26 x43 x44 = x44) ⟶ x27 = 1 ⟶ x28 = 2 ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ ∀ x45 . x45 ∈ int ⟶ x29 x43 x44 x45 = If_i (SNoLe x43 0) x44 (x24 (x29 (add_SNo x43 (minus_SNo 1)) x44 x45) (x30 (add_SNo x43 (minus_SNo 1)) x44 x45))) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ ∀ x45 . x45 ∈ int ⟶ x30 x43 x44 x45 = If_i (SNoLe x43 0) x45 (x25 (x29 (add_SNo x43 (minus_SNo 1)) x44 x45) (x30 (add_SNo x43 (minus_SNo 1)) x44 x45))) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x31 x43 x44 = x29 (x26 x43 x44) x27 x28) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x32 x43 x44 = add_SNo (x31 x43 x44) (mul_SNo 2 (add_SNo (mul_SNo 2 (add_SNo x43 x43)) x43))) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x33 x43 x44 = x44) ⟶ x34 = 1 ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x35 x43 x44 = If_i (SNoLe x43 0) x44 (x32 (x35 (add_SNo x43 (minus_SNo 1)) x44) x43)) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x36 x43 x44 = x35 (x33 x43 x44) x34) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x37 x43 x44 = add_SNo (add_SNo (x36 x43 x44) (mul_SNo 2 (add_SNo (mul_SNo 2 (add_SNo x43 x43)) x43))) x43) ⟶ (∀ x43 . x43 ∈ int ⟶ x38 x43 = x43) ⟶ x39 = 1 ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x40 x43 x44 = If_i (SNoLe x43 0) x44 (x37 (x40 (add_SNo x43 (minus_SNo 1)) x44) x43)) ⟶ (∀ x43 . x43 ∈ int ⟶ x41 x43 = x40 (x38 x43) x39) ⟶ (∀ x43 . x43 ∈ int ⟶ x42 x43 = x41 x43) ⟶ ∀ x43 . x43 ∈ int ⟶ SNoLe 0 x43 ⟶ x23 x43 = x42 x43
Conjecture d06e2..^A259546 : ∀ 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 . x3 ∈ 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 : ι → ι . (∀ x14 . x14 ∈ int ⟶ x13 x14 ∈ 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 ⟶ x1 x18 = x18) ⟶ (∀ x18 . x18 ∈ int ⟶ x2 x18 = x18) ⟶ x3 = 0 ⟶ (∀ 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))) ⟶ (∀ x18 . x18 ∈ int ⟶ x7 x18 = x5 (x2 x18) x3 (x4 x18)) ⟶ (∀ x18 . x18 ∈ int ⟶ x8 x18 = mul_SNo (mul_SNo x18 x18) (x7 x18)) ⟶ (∀ x18 . x18 ∈ int ⟶ ∀ x19 . x19 ∈ int ⟶ x9 x18 x19 = add_SNo x18 x19) ⟶ (∀ x18 . x18 ∈ int ⟶ x10 x18 = x18) ⟶ (∀ x18 . x18 ∈ int ⟶ x11 x18 = add_SNo x18 (minus_SNo 2)) ⟶ (∀ x18 . x18 ∈ int ⟶ x12 x18 = x18) ⟶ (∀ x18 . x18 ∈ int ⟶ x13 x18 = x18) ⟶ (∀ 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 . x18 ∈ int ⟶ x17 x18 = mul_SNo (mul_SNo x18 x18) (x16 x18)) ⟶ ∀ x18 . x18 ∈ int ⟶ SNoLe 0 x18 ⟶ x8 x18 = x17 x18
Conjecture 1b967..^A25951 : ∀ 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 : ι → ι → ι . (∀ x15 . x15 ∈ int ⟶ ∀ x16 . x16 ∈ int ⟶ x14 x15 x16 ∈ int) ⟶ ∀ x15 . x15 ∈ 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 . (∀ 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 = mul_SNo (add_SNo 2 x49) x48) ⟶ x1 = 2 ⟶ (∀ x48 . x48 ∈ int ⟶ x2 x48 = x48) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x3 x48 x49 = If_i (SNoLe x48 0) x49 (x0 (x3 (add_SNo x48 (minus_SNo 1)) x49) x48)) ⟶ (∀ x48 . x48 ∈ int ⟶ x4 x48 = x3 x1 (x2 x48)) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x5 x48 x49 = add_SNo (x4 x48) (mul_SNo (mul_SNo x49 x49) x49)) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x6 x48 x49 = add_SNo x49 x49) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x7 x48 x49 = x49) ⟶ x8 = 1 ⟶ x9 = 2 ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ ∀ x50 . x50 ∈ int ⟶ x10 x48 x49 x50 = If_i (SNoLe x48 0) x49 (x5 (x10 (add_SNo x48 (minus_SNo 1)) x49 x50) (x11 (add_SNo x48 (minus_SNo 1)) x49 x50))) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ ∀ x50 . x50 ∈ int ⟶ x11 x48 x49 x50 = If_i (SNoLe x48 0) x50 (x6 (x10 (add_SNo x48 (minus_SNo 1)) x49 x50) (x11 (add_SNo x48 (minus_SNo 1)) x49 x50))) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x12 x48 x49 = x10 (x7 x48 x49) x8 x9) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x13 x48 x49 = add_SNo (add_SNo (x12 x48 x49) x48) x48) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x14 x48 x49 = x49) ⟶ 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 ⟶ ∀ x49 . x49 ∈ int ⟶ x17 x48 x49 = x16 (x14 x48 x49) x15) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x18 x48 x49 = add_SNo (add_SNo (add_SNo (x17 x48 x49) x48) x48) x48) ⟶ (∀ x48 . x48 ∈ int ⟶ x19 x48 = x48) ⟶ x20 = 1 ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x21 x48 x49 = If_i (SNoLe x48 0) x49 (x18 (x21 (add_SNo x48 (minus_SNo 1)) x49) x48)) ⟶ (∀ x48 . x48 ∈ int ⟶ x22 x48 = x21 (x19 x48) x20) ⟶ (∀ x48 . x48 ∈ int ⟶ x23 x48 = x22 x48) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x24 x48 x49 = add_SNo (mul_SNo 2 (add_SNo (add_SNo x48 x48) x48)) x49) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x25 x48 x49 = add_SNo 1 (mul_SNo 2 (add_SNo x49 x49))) ⟶ (∀ x48 . x48 ∈ int ⟶ x26 x48 = x48) ⟶ x27 = 1 ⟶ x28 = add_SNo 1 (add_SNo 2 2) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ ∀ x50 . x50 ∈ int ⟶ x29 x48 x49 x50 = If_i (SNoLe x48 0) x49 (x24 (x29 (add_SNo x48 (minus_SNo 1)) x49 x50) (x30 (add_SNo x48 (minus_SNo 1)) x49 x50))) ⟶ (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ ∀ x50 . x50 ∈ int ⟶ x30 x48 x49 x50 = If_i (SNoLe x48 0) x50 (x25 (x29 (add_SNo x48 (minus_SNo 1)) x49 x50) (x30 (add_SNo x48 (minus_SNo 1)) x49 x50))) ⟶ (∀ x48 . x48 ∈ int ⟶ x31 x48 = x29 (x26 x48) x27 x28) ⟶ (∀ 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 (add_SNo (x41 x48 x49) 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 ⟶ x23 x48 = x47 x48
Conjecture b6269..^A25940 : ∀ 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 . (∀ x22 . x22 ∈ int ⟶ x21 x22 ∈ 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 . (∀ x27 . x27 ∈ int ⟶ x26 x27 ∈ int) ⟶ ∀ x27 : ι → ι . (∀ x28 . x28 ∈ int ⟶ x27 x28 ∈ 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 : 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 → 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 : 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 . x44 ∈ int ⟶ x0 x43 x44 = add_SNo (mul_SNo 2 (add_SNo (add_SNo x43 x43) x43)) x44) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x1 x43 x44 = add_SNo x44 x44) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x2 x43 x44 = x44) ⟶ x3 = 1 ⟶ x4 = 2 ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ ∀ x45 . x45 ∈ int ⟶ x5 x43 x44 x45 = If_i (SNoLe x43 0) x44 (x0 (x5 (add_SNo x43 (minus_SNo 1)) x44 x45) (x6 (add_SNo x43 (minus_SNo 1)) x44 x45))) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ ∀ x45 . x45 ∈ int ⟶ x6 x43 x44 x45 = If_i (SNoLe x43 0) x45 (x1 (x5 (add_SNo x43 (minus_SNo 1)) x44 x45) (x6 (add_SNo x43 (minus_SNo 1)) x44 x45))) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x7 x43 x44 = x5 (x2 x43 x44) x3 x4) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x8 x43 x44 = add_SNo (x7 x43 x44) (mul_SNo 2 (add_SNo (mul_SNo 2 (add_SNo x43 x43)) x43))) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x9 x43 x44 = x44) ⟶ x10 = 1 ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x11 x43 x44 = If_i (SNoLe x43 0) x44 (x8 (x11 (add_SNo x43 (minus_SNo 1)) x44) x43)) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x12 x43 x44 = x11 (x9 x43 x44) x10) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x13 x43 x44 = add_SNo (add_SNo (add_SNo (x12 x43 x44) x43) x43) x43) ⟶ (∀ x43 . x43 ∈ int ⟶ x14 x43 = x43) ⟶ x15 = 1 ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x16 x43 x44 = If_i (SNoLe x43 0) x44 (x13 (x16 (add_SNo x43 (minus_SNo 1)) x44) x43)) ⟶ (∀ x43 . x43 ∈ int ⟶ x17 x43 = x16 (x14 x43) x15) ⟶ (∀ x43 . x43 ∈ int ⟶ x18 x43 = x17 x43) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x19 x43 x44 = add_SNo (add_SNo (mul_SNo 2 (add_SNo x43 x43)) x43) x44) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x20 x43 x44 = add_SNo 1 (add_SNo (add_SNo x44 x44) x44)) ⟶ (∀ x43 . x43 ∈ int ⟶ x21 x43 = x43) ⟶ x22 = 1 ⟶ x23 = add_SNo 2 2 ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ ∀ x45 . x45 ∈ int ⟶ x24 x43 x44 x45 = If_i (SNoLe x43 0) x44 (x19 (x24 (add_SNo x43 (minus_SNo 1)) x44 x45) (x25 (add_SNo x43 (minus_SNo 1)) x44 x45))) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ ∀ x45 . x45 ∈ int ⟶ x25 x43 x44 x45 = If_i (SNoLe x43 0) x45 (x20 (x24 (add_SNo x43 (minus_SNo 1)) x44 x45) (x25 (add_SNo x43 (minus_SNo 1)) x44 x45))) ⟶ (∀ x43 . x43 ∈ int ⟶ x26 x43 = x24 (x21 x43) x22 x23) ⟶ (∀ x43 . x43 ∈ int ⟶ x27 x43 = add_SNo x43 x43) ⟶ (∀ x43 . x43 ∈ int ⟶ x28 x43 = x43) ⟶ x29 = 1 ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x30 x43 x44 = If_i (SNoLe x43 0) x44 (x27 (x30 (add_SNo x43 (minus_SNo 1)) x44))) ⟶ (∀ x43 . x43 ∈ int ⟶ x31 x43 = x30 (x28 x43) x29) ⟶ (∀ x43 . x43 ∈ int ⟶ x32 x43 = mul_SNo (x26 x43) (x31 x43)) ⟶ x33 = 1 ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x34 x43 x44 = x44) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x35 x43 x44 = If_i (SNoLe x43 0) x44 (x32 (x35 (add_SNo x43 (minus_SNo 1)) x44))) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x36 x43 x44 = x35 x33 (x34 x43 x44)) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x37 x43 x44 = add_SNo (add_SNo (add_SNo (x36 x43 x44) x43) x43) x43) ⟶ (∀ x43 . x43 ∈ int ⟶ x38 x43 = x43) ⟶ x39 = 1 ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x40 x43 x44 = If_i (SNoLe x43 0) x44 (x37 (x40 (add_SNo x43 (minus_SNo 1)) x44) x43)) ⟶ (∀ x43 . x43 ∈ int ⟶ x41 x43 = x40 (x38 x43) x39) ⟶ (∀ x43 . x43 ∈ int ⟶ x42 x43 = x41 x43) ⟶ ∀ x43 . x43 ∈ int ⟶ SNoLe 0 x43 ⟶ x18 x43 = x42 x43
Conjecture 27c8c..^A25937 : ∀ 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 . (∀ x20 . x20 ∈ int ⟶ x19 x20 ∈ int) ⟶ ∀ x20 : ι → ι . (∀ x21 . x21 ∈ int ⟶ x20 x21 ∈ int) ⟶ ∀ x21 : ι → ι . (∀ x22 . x22 ∈ int ⟶ x21 x22 ∈ 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 : ι → ι → ι . (∀ x28 . x28 ∈ int ⟶ ∀ x29 . x29 ∈ int ⟶ x27 x28 x29 ∈ int) ⟶ ∀ x28 : ι → ι . (∀ x29 . x29 ∈ int ⟶ x28 x29 ∈ int) ⟶ ∀ x29 : ι → ι . (∀ x30 . x30 ∈ int ⟶ x29 x30 ∈ int) ⟶ ∀ x30 . x30 ∈ 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 → ι . (∀ x34 . x34 ∈ int ⟶ ∀ x35 . x35 ∈ int ⟶ x33 x34 x35 ∈ 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 . x36 ∈ int ⟶ ∀ x37 : ι → ι → ι . (∀ x38 . x38 ∈ int ⟶ ∀ x39 . x39 ∈ int ⟶ x37 x38 x39 ∈ int) ⟶ ∀ x38 : ι → ι → ι . (∀ x39 . x39 ∈ int ⟶ ∀ x40 . x40 ∈ int ⟶ x38 x39 x40 ∈ 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 . 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 . x45 ∈ int ⟶ ∀ x46 . x46 ∈ int ⟶ x0 x45 x46 = add_SNo (mul_SNo 2 (add_SNo (add_SNo x45 x45) x45)) x46) ⟶ (∀ x45 . x45 ∈ int ⟶ ∀ x46 . x46 ∈ int ⟶ x1 x45 x46 = add_SNo x46 x46) ⟶ (∀ x45 . x45 ∈ int ⟶ ∀ x46 . x46 ∈ int ⟶ x2 x45 x46 = x46) ⟶ x3 = 1 ⟶ x4 = 2 ⟶ (∀ x45 . x45 ∈ int ⟶ ∀ x46 . x46 ∈ int ⟶ ∀ x47 . x47 ∈ int ⟶ x5 x45 x46 x47 = If_i (SNoLe x45 0) x46 (x0 (x5 (add_SNo x45 (minus_SNo 1)) x46 x47) (x6 (add_SNo x45 (minus_SNo 1)) x46 x47))) ⟶ (∀ x45 . x45 ∈ int ⟶ ∀ x46 . x46 ∈ int ⟶ ∀ x47 . x47 ∈ int ⟶ x6 x45 x46 x47 = If_i (SNoLe x45 0) x47 (x1 (x5 (add_SNo x45 (minus_SNo 1)) x46 x47) (x6 (add_SNo x45 (minus_SNo 1)) x46 x47))) ⟶ (∀ x45 . x45 ∈ int ⟶ ∀ x46 . x46 ∈ int ⟶ x7 x45 x46 = x5 (x2 x45 x46) x3 x4) ⟶ (∀ x45 . x45 ∈ int ⟶ ∀ x46 . x46 ∈ int ⟶ x8 x45 x46 = add_SNo (add_SNo (x7 x45 x46) (mul_SNo 2 (add_SNo (add_SNo x45 x45) x45))) x45) ⟶ (∀ x45 . x45 ∈ int ⟶ ∀ x46 . x46 ∈ int ⟶ x9 x45 x46 = x46) ⟶ x10 = 1 ⟶ (∀ x45 . x45 ∈ int ⟶ ∀ x46 . x46 ∈ int ⟶ x11 x45 x46 = If_i (SNoLe x45 0) x46 (x8 (x11 (add_SNo x45 (minus_SNo 1)) x46) x45)) ⟶ (∀ x45 . x45 ∈ int ⟶ ∀ x46 . x46 ∈ int ⟶ x12 x45 x46 = x11 (x9 x45 x46) x10) ⟶ (∀ x45 . x45 ∈ int ⟶ ∀ x46 . x46 ∈ int ⟶ x13 x45 x46 = add_SNo (add_SNo (add_SNo (x12 x45 x46) x45) x45) x45) ⟶ (∀ x45 . x45 ∈ int ⟶ x14 x45 = x45) ⟶ x15 = 1 ⟶ (∀ x45 . x45 ∈ int ⟶ ∀ x46 . x46 ∈ int ⟶ x16 x45 x46 = If_i (SNoLe x45 0) x46 (x13 (x16 (add_SNo x45 (minus_SNo 1)) x46) x45)) ⟶ (∀ x45 . x45 ∈ int ⟶ x17 x45 = x16 (x14 x45) x15) ⟶ (∀ x45 . x45 ∈ int ⟶ x18 x45 = x17 x45) ⟶ (∀ x45 . x45 ∈ int ⟶ x19 x45 = add_SNo (add_SNo x45 x45) x45) ⟶ (∀ x45 . x45 ∈ int ⟶ x20 x45 = x45) ⟶ (∀ x45 . x45 ∈ int ⟶ x21 x45 = add_SNo x45 x45) ⟶ (∀ x45 . x45 ∈ int ⟶ x22 x45 = x45) ⟶ x23 = 2 ⟶ (∀ x45 . x45 ∈ int ⟶ ∀ x46 . x46 ∈ int ⟶ x24 x45 x46 = If_i (SNoLe x45 0) x46 (x21 (x24 (add_SNo x45 (minus_SNo 1)) x46))) ⟶ (∀ x45 . x45 ∈ int ⟶ x25 x45 = x24 (x22 x45) x23) ⟶ (∀ x45 . x45 ∈ int ⟶ x26 x45 = add_SNo (x25 x45) (minus_SNo 1)) ⟶ (∀ x45 . x45 ∈ int ⟶ ∀ x46 . x46 ∈ int ⟶ x27 x45 x46 = If_i (SNoLe x45 0) x46 (x19 (x27 (add_SNo x45 (minus_SNo 1)) x46))) ⟶ (∀ x45 . x45 ∈ int ⟶ x28 x45 = x27 (x20 x45) (x26 x45)) ⟶ (∀ x45 . x45 ∈ int ⟶ x29 x45 = x28 x45) ⟶ x30 = 1 ⟶ (∀ x45 . x45 ∈ int ⟶ ∀ x46 . x46 ∈ int ⟶ x31 x45 x46 = x46) ⟶ (∀ x45 . x45 ∈ int ⟶ ∀ x46 . x46 ∈ int ⟶ x32 x45 x46 = If_i (SNoLe x45 0) x46 (x29 (x32 (add_SNo x45 (minus_SNo 1)) x46))) ⟶ (∀ x45 . x45 ∈ int ⟶ ∀ x46 . x46 ∈ int ⟶ x33 x45 x46 = x32 x30 (x31 x45 x46)) ⟶ (∀ x45 . x45 ∈ int ⟶ ∀ x46 . x46 ∈ int ⟶ x34 x45 x46 = add_SNo (add_SNo (x33 x45 x46) x45) x45) ⟶ (∀ x45 . x45 ∈ int ⟶ ∀ x46 . x46 ∈ int ⟶ x35 x45 x46 = x46) ⟶ x36 = 1 ⟶ (∀ x45 . x45 ∈ int ⟶ ∀ x46 . x46 ∈ int ⟶ x37 x45 x46 = If_i (SNoLe x45 0) x46 (x34 (x37 (add_SNo x45 (minus_SNo 1)) x46) x45)) ⟶ (∀ x45 . x45 ∈ int ⟶ ∀ x46 . x46 ∈ int ⟶ x38 x45 x46 = x37 (x35 x45 x46) x36) ⟶ (∀ x45 . x45 ∈ int ⟶ ∀ x46 . x46 ∈ int ⟶ x39 x45 x46 = add_SNo (add_SNo (x38 x45 x46) (mul_SNo 2 (add_SNo (add_SNo x45 x45) x45))) x45) ⟶ (∀ x45 . x45 ∈ int ⟶ x40 x45 = x45) ⟶ x41 = 1 ⟶ (∀ x45 . x45 ∈ int ⟶ ∀ x46 . x46 ∈ int ⟶ x42 x45 x46 = If_i (SNoLe x45 0) x46 (x39 (x42 (add_SNo x45 (minus_SNo 1)) x46) x45)) ⟶ (∀ x45 . x45 ∈ int ⟶ x43 x45 = x42 (x40 x45) x41) ⟶ (∀ x45 . x45 ∈ int ⟶ x44 x45 = x43 x45) ⟶ ∀ x45 . x45 ∈ int ⟶ SNoLe 0 x45 ⟶ x18 x45 = x44 x45
Conjecture 70e65..^A25936 : ∀ 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 : ι → ι → ι . (∀ x15 . x15 ∈ int ⟶ ∀ x16 . x16 ∈ int ⟶ x14 x15 x16 ∈ int) ⟶ ∀ x15 . x15 ∈ 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 → ι . (∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ x26 x27 x28 ∈ 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 → 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 → ι . (∀ x34 . x34 ∈ int ⟶ ∀ x35 . x35 ∈ int ⟶ x33 x34 x35 ∈ int) ⟶ ∀ x34 . x34 ∈ int ⟶ ∀ x35 : ι → ι → ι . (∀ x36 . x36 ∈ int ⟶ ∀ x37 . x37 ∈ int ⟶ x35 x36 x37 ∈ 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 : 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 . x44 ∈ int ⟶ x0 x43 x44 = mul_SNo (add_SNo 2 x44) x43) ⟶ x1 = 2 ⟶ (∀ x43 . x43 ∈ int ⟶ x2 x43 = x43) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x3 x43 x44 = If_i (SNoLe x43 0) x44 (x0 (x3 (add_SNo x43 (minus_SNo 1)) x44) x43)) ⟶ (∀ x43 . x43 ∈ int ⟶ x4 x43 = x3 x1 (x2 x43)) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x5 x43 x44 = add_SNo (x4 x43) x44) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x6 x43 x44 = add_SNo x44 x44) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x7 x43 x44 = x44) ⟶ x8 = 1 ⟶ x9 = 2 ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ ∀ x45 . x45 ∈ int ⟶ x10 x43 x44 x45 = If_i (SNoLe x43 0) x44 (x5 (x10 (add_SNo x43 (minus_SNo 1)) x44 x45) (x11 (add_SNo x43 (minus_SNo 1)) x44 x45))) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ ∀ x45 . x45 ∈ int ⟶ x11 x43 x44 x45 = If_i (SNoLe x43 0) x45 (x6 (x10 (add_SNo x43 (minus_SNo 1)) x44 x45) (x11 (add_SNo x43 (minus_SNo 1)) x44 x45))) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x12 x43 x44 = x10 (x7 x43 x44) x8 x9) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x13 x43 x44 = add_SNo (add_SNo (x12 x43 x44) (mul_SNo 2 (add_SNo x43 x43))) x43) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x14 x43 x44 = x44) ⟶ x15 = 1 ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x16 x43 x44 = If_i (SNoLe x43 0) x44 (x13 (x16 (add_SNo x43 (minus_SNo 1)) x44) x43)) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x17 x43 x44 = x16 (x14 x43 x44) x15) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x18 x43 x44 = add_SNo (add_SNo (add_SNo (x17 x43 x44) x43) x43) x43) ⟶ (∀ x43 . x43 ∈ int ⟶ x19 x43 = x43) ⟶ x20 = 1 ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x21 x43 x44 = If_i (SNoLe x43 0) x44 (x18 (x21 (add_SNo x43 (minus_SNo 1)) x44) x43)) ⟶ (∀ x43 . x43 ∈ int ⟶ x22 x43 = x21 (x19 x43) x20) ⟶ (∀ x43 . x43 ∈ int ⟶ x23 x43 = x22 x43) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x24 x43 x44 = add_SNo (add_SNo (add_SNo x43 x43) x43) x44) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x25 x43 x44 = add_SNo x44 x44) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x26 x43 x44 = x44) ⟶ x27 = 1 ⟶ x28 = 2 ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ ∀ x45 . x45 ∈ int ⟶ x29 x43 x44 x45 = If_i (SNoLe x43 0) x44 (x24 (x29 (add_SNo x43 (minus_SNo 1)) x44 x45) (x30 (add_SNo x43 (minus_SNo 1)) x44 x45))) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ ∀ x45 . x45 ∈ int ⟶ x30 x43 x44 x45 = If_i (SNoLe x43 0) x45 (x25 (x29 (add_SNo x43 (minus_SNo 1)) x44 x45) (x30 (add_SNo x43 (minus_SNo 1)) x44 x45))) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x31 x43 x44 = x29 (x26 x43 x44) x27 x28) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x32 x43 x44 = add_SNo (add_SNo (x31 x43 x44) (mul_SNo 2 (add_SNo x43 x43))) x43) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x33 x43 x44 = x44) ⟶ x34 = 1 ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x35 x43 x44 = If_i (SNoLe x43 0) x44 (x32 (x35 (add_SNo x43 (minus_SNo 1)) x44) x43)) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x36 x43 x44 = x35 (x33 x43 x44) x34) ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x37 x43 x44 = add_SNo (x36 x43 x44) (mul_SNo 2 (mul_SNo 2 (add_SNo (add_SNo x43 x43) x43)))) ⟶ (∀ x43 . x43 ∈ int ⟶ x38 x43 = x43) ⟶ x39 = 1 ⟶ (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x40 x43 x44 = If_i (SNoLe x43 0) x44 (x37 (x40 (add_SNo x43 (minus_SNo 1)) x44) x43)) ⟶ (∀ x43 . x43 ∈ int ⟶ x41 x43 = x40 (x38 x43) x39) ⟶ (∀ x43 . x43 ∈ int ⟶ x42 x43 = x41 x43) ⟶ ∀ x43 . x43 ∈ int ⟶ SNoLe 0 x43 ⟶ x23 x43 = x42 x43
Conjecture 9662e..^A259319 : ∀ x0 : ι → ι . (∀ x1 . x1 ∈ int ⟶ x0 x1 ∈ int) ⟶ ∀ x1 . x1 ∈ int ⟶ ∀ x2 : ι → ι → ι . (∀ x3 . x3 ∈ int ⟶ ∀ x4 . x4 ∈ int ⟶ x2 x3 x4 ∈ 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 . (∀ 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 . x15 ∈ int ⟶ ∀ x16 : ι → ι → ι → ι . (∀ x17 . x17 ∈ int ⟶ ∀ x18 . x18 ∈ int ⟶ ∀ x19 . x19 ∈ int ⟶ x16 x17 x18 x19 ∈ int) ⟶ ∀ x17 : ι → ι → ι → ι . (∀ x18 . x18 ∈ int ⟶ ∀ x19 . x19 ∈ int ⟶ ∀ x20 . x20 ∈ int ⟶ x17 x18 x19 x20 ∈ int) ⟶ ∀ x18 : ι → ι . (∀ x19 . x19 ∈ int ⟶ x18 x19 ∈ int) ⟶ ∀ x19 : ι → ι . (∀ x20 . x20 ∈ int ⟶ x19 x20 ∈ int) ⟶ (∀ x20 . x20 ∈ int ⟶ x0 x20 = mul_SNo x20 x20) ⟶ x1 = 2 ⟶ (∀ x20 . x20 ∈ int ⟶ ∀ x21 . x21 ∈ int ⟶ x2 x20 x21 = add_SNo 1 (add_SNo x21 x21)) ⟶ (∀ x20 . x20 ∈ int ⟶ ∀ x21 . x21 ∈ int ⟶ x3 x20 x21 = If_i (SNoLe x20 0) x21 (x0 (x3 (add_SNo x20 (minus_SNo 1)) x21))) ⟶ (∀ x20 . x20 ∈ int ⟶ ∀ x21 . x21 ∈ int ⟶ x4 x20 x21 = x3 x1 (x2 x20 x21)) ⟶ (∀ x20 . x20 ∈ int ⟶ ∀ x21 . x21 ∈ int ⟶ x5 x20 x21 = add_SNo (x4 x20 x21) x20) ⟶ (∀ x20 . x20 ∈ int ⟶ x6 x20 = x20) ⟶ x7 = 1 ⟶ (∀ x20 . x20 ∈ int ⟶ ∀ x21 . x21 ∈ int ⟶ x8 x20 x21 = If_i (SNoLe x20 0) x21 (x5 (x8 (add_SNo x20 (minus_SNo 1)) x21) x20)) ⟶ (∀ x20 . x20 ∈ int ⟶ x9 x20 = x8 (x6 x20) x7) ⟶ (∀ x20 . x20 ∈ int ⟶ x10 x20 = mul_SNo (x9 x20) 2) ⟶ (∀ x20 . x20 ∈ int ⟶ ∀ x21 . x21 ∈ int ⟶ x11 x20 x21 = add_SNo (mul_SNo (mul_SNo (mul_SNo x21 x21) x21) x21) x20) ⟶ (∀ x20 . x20 ∈ int ⟶ ∀ x21 . x21 ∈ int ⟶ x12 x20 x21 = add_SNo 2 x21) ⟶ (∀ x20 . x20 ∈ int ⟶ x13 x20 = x20) ⟶ x14 = 1 ⟶ x15 = add_SNo 1 2 ⟶ (∀ x20 . x20 ∈ int ⟶ ∀ x21 . x21 ∈ int ⟶ ∀ x22 . x22 ∈ int ⟶ x16 x20 x21 x22 = If_i (SNoLe x20 0) x21 (x11 (x16 (add_SNo x20 (minus_SNo 1)) x21 x22) (x17 (add_SNo x20 (minus_SNo 1)) x21 x22))) ⟶ (∀ x20 . x20 ∈ int ⟶ ∀ x21 . x21 ∈ int ⟶ ∀ x22 . x22 ∈ int ⟶ x17 x20 x21 x22 = If_i (SNoLe x20 0) x22 (x12 (x16 (add_SNo x20 (minus_SNo 1)) x21 x22) (x17 (add_SNo x20 (minus_SNo 1)) x21 x22))) ⟶ (∀ x20 . x20 ∈ int ⟶ x18 x20 = x16 (x13 x20) x14 x15) ⟶ (∀ x20 . x20 ∈ int ⟶ x19 x20 = mul_SNo (x18 x20) 2) ⟶ ∀ x20 . x20 ∈ int ⟶ SNoLe 0 x20 ⟶ x10 x20 = x19 x20
Conjecture 419f5..^A25929 : ∀ 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 2 (add_SNo (mul_SNo x34 x34) x33)) (minus_SNo x34)) 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) (x12 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 2 (add_SNo (mul_SNo x34 x34) x33)) (minus_SNo x34)) 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 (x26 x33 x34) (mul_SNo 2 (mul_SNo 2 (add_SNo (add_SNo 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
Conjecture ffac1..^A257583 : ∀ 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 . (∀ x8 . x8 ∈ int ⟶ x7 x8 ∈ int) ⟶ ∀ x8 . x8 ∈ 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 . (∀ x15 . x15 ∈ int ⟶ ∀ x16 . x16 ∈ int ⟶ x14 x15 x16 ∈ 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 . x19 ∈ int ⟶ ∀ x20 : ι → ι . (∀ x21 . x21 ∈ int ⟶ x20 x21 ∈ int) ⟶ ∀ x21 : ι → ι → ι → ι . (∀ x22 . x22 ∈ int ⟶ ∀ x23 . x23 ∈ int ⟶ ∀ x24 . x24 ∈ int ⟶ x21 x22 x23 x24 ∈ int) ⟶ ∀ x22 : ι → ι → ι → ι . (∀ x23 . x23 ∈ int ⟶ ∀ x24 . x24 ∈ int ⟶ ∀ x25 . x25 ∈ int ⟶ x22 x23 x24 x25 ∈ 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 2 (mul_SNo x25 x26)) ⟶ (∀ x25 . x25 ∈ int ⟶ x1 x25 = add_SNo x25 x25) ⟶ x2 = 2 ⟶ (∀ 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 ⟶ x4 x25 = x3 (x1 x25) x2) ⟶ (∀ x25 . x25 ∈ int ⟶ x5 x25 = mul_SNo 2 (x4 x25)) ⟶ (∀ x25 . x25 ∈ int ⟶ ∀ x26 . x26 ∈ int ⟶ x6 x25 x26 = mul_SNo 2 (mul_SNo x25 x26)) ⟶ (∀ x25 . x25 ∈ int ⟶ x7 x25 = x25) ⟶ x8 = 2 ⟶ (∀ x25 . x25 ∈ int ⟶ ∀ x26 . x26 ∈ int ⟶ x9 x25 x26 = If_i (SNoLe x25 0) x26 (x6 (x9 (add_SNo x25 (minus_SNo 1)) x26) x25)) ⟶ (∀ x25 . x25 ∈ int ⟶ x10 x25 = x9 (x7 x25) x8) ⟶ (∀ x25 . x25 ∈ int ⟶ x11 x25 = add_SNo x25 x25) ⟶ (∀ x25 . x25 ∈ int ⟶ x12 x25 = x25) ⟶ x13 = 1 ⟶ (∀ x25 . x25 ∈ int ⟶ ∀ x26 . x26 ∈ int ⟶ x14 x25 x26 = If_i (SNoLe x25 0) x26 (x11 (x14 (add_SNo x25 (minus_SNo 1)) x26))) ⟶ (∀ x25 . x25 ∈ int ⟶ x15 x25 = x14 (x12 x25) x13) ⟶ (∀ x25 . x25 ∈ int ⟶ ∀ x26 . x26 ∈ int ⟶ x16 x25 x26 = mul_SNo x25 x26) ⟶ (∀ x25 . x25 ∈ int ⟶ ∀ x26 . x26 ∈ int ⟶ x17 x25 x26 = add_SNo 1 x26) ⟶ (∀ x25 . x25 ∈ int ⟶ x18 x25 = x25) ⟶ x19 = 1 ⟶ (∀ x25 . x25 ∈ int ⟶ x20 x25 = add_SNo 1 x25) ⟶ (∀ x25 . x25 ∈ int ⟶ ∀ x26 . x26 ∈ int ⟶ ∀ x27 . x27 ∈ int ⟶ x21 x25 x26 x27 = If_i (SNoLe x25 0) x26 (x16 (x21 (add_SNo x25 (minus_SNo 1)) x26 x27) (x22 (add_SNo x25 (minus_SNo 1)) x26 x27))) ⟶ (∀ x25 . x25 ∈ int ⟶ ∀ x26 . x26 ∈ int ⟶ ∀ x27 . x27 ∈ int ⟶ x22 x25 x26 x27 = If_i (SNoLe x25 0) x27 (x17 (x21 (add_SNo x25 (minus_SNo 1)) x26 x27) (x22 (add_SNo x25 (minus_SNo 1)) x26 x27))) ⟶ (∀ x25 . x25 ∈ int ⟶ x23 x25 = x21 (x18 x25) x19 (x20 x25)) ⟶ (∀ x25 . x25 ∈ int ⟶ x24 x25 = mul_SNo (mul_SNo (mul_SNo 2 (x10 x25)) (x15 x25)) (x23 x25)) ⟶ ∀ x25 . x25 ∈ int ⟶ SNoLe 0 x25 ⟶ x5 x25 = x24 x25