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809da../85a61.. bday: 25656 doc published by PrGxv..
Param intint : ι
Param mul_SNomul_SNo : ι → ι → ι
Param ordsuccordsucc : ι → ι
Param add_SNoadd_SNo : ι → ι → ι
Param If_iIf_i : ο → ι → ι → ι
Param SNoLeSNoLe : ι → ι → ο
Param minus_SNominus_SNo : ι → ι
Conjecture edba2..A28144 : ∀ 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 : 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 . (∀ x33 . x33 ∈ int ⟶ x32 x33 ∈ int) ⟶ ∀ x33 : ι → ι . (∀ x34 . x34 ∈ int ⟶ x33 x34 ∈ int) ⟶ ∀ x34 : ι → ι → ι . (∀ x35 . x35 ∈ int ⟶ ∀ x36 . x36 ∈ int ⟶ x34 x35 x36 ∈ int) ⟶ ∀ x35 : ι → ι . (∀ x36 . x36 ∈ int ⟶ x35 x36 ∈ int) ⟶ ∀ x36 : ι → ι . (∀ x37 . x37 ∈ int ⟶ x36 x37 ∈ int) ⟶ ∀ x37 . x37 ∈ 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 → 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 . (∀ x43 . x43 ∈ int ⟶ x42 x43 ∈ int) ⟶ ∀ x43 . x43 ∈ int ⟶ ∀ x44 : ι → ι → ι . (∀ x45 . x45 ∈ int ⟶ ∀ x46 . x46 ∈ int ⟶ x44 x45 x46 ∈ int) ⟶ ∀ x45 : ι → ι . (∀ x46 . x46 ∈ int ⟶ x45 x46 ∈ int) ⟶ ∀ x46 : ι → ι . (∀ x47 . x47 ∈ int ⟶ x46 x47 ∈ int) ⟶ ∀ x47 : ι → ι . (∀ x48 . x48 ∈ int ⟶ x47 x48 ∈ int) ⟶ ∀ x48 . x48 ∈ int ⟶ ∀ x49 : ι → ι → ι . (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x49 x50 x51 ∈ int) ⟶ ∀ x50 : ι → ι . (∀ x51 . x51 ∈ int ⟶ x50 x51 ∈ int) ⟶ ∀ x51 : ι → ι . (∀ x52 . x52 ∈ int ⟶ x51 x52 ∈ int) ⟶ ∀ x52 . x52 ∈ 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 → ι . (∀ x56 . x56 ∈ int ⟶ ∀ x57 . x57 ∈ int ⟶ x55 x56 x57 ∈ int) ⟶ ∀ x56 : ι → ι → ι . (∀ x57 . x57 ∈ int ⟶ ∀ x58 . x58 ∈ int ⟶ x56 x57 x58 ∈ int) ⟶ ∀ x57 : ι → ι . (∀ x58 . x58 ∈ int ⟶ x57 x58 ∈ int) ⟶ ∀ x58 . x58 ∈ int ⟶ ∀ x59 : ι → ι → ι . (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x59 x60 x61 ∈ int) ⟶ ∀ x60 : ι → ι . (∀ x61 . x61 ∈ int ⟶ x60 x61 ∈ int) ⟶ ∀ x61 : ι → ι . (∀ x62 . x62 ∈ int ⟶ x61 x62 ∈ int) ⟶ (∀ x62 . x62 ∈ int ⟶ x0 x62 = mul_SNo 2 (add_SNo (add_SNo x62 x62) x62)) ⟶ (∀ x62 . x62 ∈ int ⟶ x1 x62 = x62) ⟶ (∀ x62 . x62 ∈ int ⟶ x2 x62 = add_SNo x62 x62) ⟶ (∀ x62 . x62 ∈ int ⟶ x3 x62 = x62) ⟶ x4 = 2 ⟶ (∀ x62 . x62 ∈ int ⟶ ∀ x63 . x63 ∈ int ⟶ x5 x62 x63 = If_i (SNoLe x62 0) x63 (x2 (x5 (add_SNo x62 (minus_SNo 1)) x63))) ⟶ (∀ x62 . x62 ∈ int ⟶ x6 x62 = x5 (x3 x62) x4) ⟶ (∀ x62 . x62 ∈ int ⟶ x7 x62 = add_SNo (x6 x62) (minus_SNo 1)) ⟶ (∀ x62 . x62 ∈ int ⟶ ∀ x63 . x63 ∈ int ⟶ x8 x62 x63 = If_i (SNoLe x62 0) x63 (x0 (x8 (add_SNo x62 (minus_SNo 1)) x63))) ⟶ (∀ x62 . x62 ∈ int ⟶ x9 x62 = x8 (x1 x62) (x7 x62)) ⟶ (∀ x62 . x62 ∈ int ⟶ x10 x62 = x9 x62) ⟶ x11 = 1 ⟶ (∀ x62 . x62 ∈ int ⟶ ∀ x63 . x63 ∈ int ⟶ x12 x62 x63 = x63) ⟶ (∀ x62 . x62 ∈ int ⟶ ∀ x63 . x63 ∈ int ⟶ x13 x62 x63 = If_i (SNoLe x62 0) x63 (x10 (x13 (add_SNo x62 (minus_SNo 1)) x63))) ⟶ (∀ x62 . x62 ∈ int ⟶ ∀ x63 . x63 ∈ int ⟶ x14 x62 x63 = x13 x11 (x12 x62 x63)) ⟶ (∀ x62 . x62 ∈ int ⟶ ∀ x63 . x63 ∈ int ⟶ x15 x62 x63 = add_SNo (x14 x62 x63) (mul_SNo 2 (add_SNo x62 x62))) ⟶ (∀ x62 . x62 ∈ int ⟶ ∀ x63 . x63 ∈ int ⟶ x16 x62 x63 = x63) ⟶ x17 = 1 ⟶ (∀ x62 . x62 ∈ int ⟶ ∀ x63 . x63 ∈ int ⟶ x18 x62 x63 = If_i (SNoLe x62 0) x63 (x15 (x18 (add_SNo x62 (minus_SNo 1)) x63) x62)) ⟶ (∀ x62 . x62 ∈ int ⟶ ∀ x63 . x63 ∈ int ⟶ x19 x62 x63 = x18 (x16 x62 x63) x17) ⟶ (∀ x62 . x62 ∈ int ⟶ ∀ x63 . x63 ∈ int ⟶ x20 x62 x63 = add_SNo (add_SNo (x19 x62 x63) (mul_SNo 2 (add_SNo (mul_SNo 2 (add_SNo x62 x62)) x62))) x62) ⟶ (∀ x62 . x62 ∈ int ⟶ x21 x62 = x62) ⟶ x22 = 1 ⟶ (∀ x62 . x62 ∈ int ⟶ ∀ x63 . x63 ∈ int ⟶ x23 x62 x63 = If_i (SNoLe x62 0) x63 (x20 (x23 (add_SNo x62 (minus_SNo 1)) x63) x62)) ⟶ (∀ x62 . x62 ∈ int ⟶ x24 x62 = x23 (x21 x62) x22) ⟶ (∀ x62 . x62 ∈ int ⟶ x25 x62 = x24 x62) ⟶ (∀ x62 . x62 ∈ int ⟶ x26 x62 = add_SNo (add_SNo x62 x62) x62) ⟶ (∀ x62 . x62 ∈ int ⟶ x27 x62 = x62) ⟶ (∀ x62 . x62 ∈ int ⟶ x28 x62 = add_SNo x62 x62) ⟶ (∀ x62 . x62 ∈ int ⟶ x29 x62 = x62) ⟶ x30 = 2 ⟶ (∀ x62 . x62 ∈ int ⟶ ∀ x63 . x63 ∈ int ⟶ x31 x62 x63 = If_i (SNoLe x62 0) x63 (x28 (x31 (add_SNo x62 (minus_SNo 1)) x63))) ⟶ (∀ x62 . x62 ∈ int ⟶ x32 x62 = x31 (x29 x62) x30) ⟶ (∀ x62 . x62 ∈ int ⟶ x33 x62 = add_SNo (x32 x62) (minus_SNo 1)) ⟶ (∀ x62 . x62 ∈ int ⟶ ∀ x63 . x63 ∈ int ⟶ x34 x62 x63 = If_i (SNoLe x62 0) x63 (x26 (x34 (add_SNo x62 (minus_SNo 1)) x63))) ⟶ (∀ x62 . x62 ∈ int ⟶ x35 x62 = x34 (x27 x62) (x33 x62)) ⟶ (∀ x62 . x62 ∈ int ⟶ x36 x62 = x35 x62) ⟶ x37 = 1 ⟶ (∀ x62 . x62 ∈ int ⟶ ∀ x63 . x63 ∈ int ⟶ x38 x62 x63 = x63) ⟶ (∀ x62 . x62 ∈ int ⟶ ∀ x63 . x63 ∈ int ⟶ x39 x62 x63 = If_i (SNoLe x62 0) x63 (x36 (x39 (add_SNo x62 (minus_SNo 1)) x63))) ⟶ (∀ x62 . x62 ∈ int ⟶ ∀ x63 . x63 ∈ int ⟶ x40 x62 x63 = x39 x37 (x38 x62 x63)) ⟶ (∀ x62 . x62 ∈ int ⟶ ∀ x63 . x63 ∈ int ⟶ x41 x62 x63 = add_SNo (add_SNo (x40 x62 x63) x62) x62) ⟶ (∀ x62 . x62 ∈ int ⟶ x42 x62 = x62) ⟶ x43 = 1 ⟶ (∀ x62 . x62 ∈ int ⟶ ∀ x63 . x63 ∈ int ⟶ x44 x62 x63 = If_i (SNoLe x62 0) x63 (x41 (x44 (add_SNo x62 (minus_SNo 1)) x63) x62)) ⟶ (∀ x62 . x62 ∈ int ⟶ x45 x62 = x44 (x42 x62) x43) ⟶ (∀ x62 . x62 ∈ int ⟶ x46 x62 = add_SNo x62 x62) ⟶ (∀ x62 . x62 ∈ int ⟶ x47 x62 = x62) ⟶ x48 = 1 ⟶ (∀ x62 . x62 ∈ int ⟶ ∀ x63 . x63 ∈ int ⟶ x49 x62 x63 = If_i (SNoLe x62 0) x63 (x46 (x49 (add_SNo x62 (minus_SNo 1)) x63))) ⟶ (∀ x62 . x62 ∈ int ⟶ x50 x62 = x49 (x47 x62) x48) ⟶ (∀ x62 . x62 ∈ int ⟶ x51 x62 = mul_SNo (x45 x62) (x50 x62)) ⟶ x52 = 1 ⟶ (∀ x62 . x62 ∈ int ⟶ ∀ x63 . x63 ∈ int ⟶ x53 x62 x63 = x63) ⟶ (∀ x62 . x62 ∈ int ⟶ ∀ x63 . x63 ∈ int ⟶ x54 x62 x63 = If_i (SNoLe x62 0) x63 (x51 (x54 (add_SNo x62 (minus_SNo 1)) x63))) ⟶ (∀ x62 . x62 ∈ int ⟶ ∀ x63 . x63 ∈ int ⟶ x55 x62 x63 = x54 x52 (x53 x62 x63)) ⟶ (∀ x62 . x62 ∈ int ⟶ ∀ x63 . x63 ∈ int ⟶ x56 x62 x63 = add_SNo (add_SNo (x55 x62 x63) (mul_SNo 2 (add_SNo (mul_SNo 2 (add_SNo x62 x62)) x62))) x62) ⟶ (∀ x62 . x62 ∈ int ⟶ x57 x62 = x62) ⟶ x58 = 1 ⟶ (∀ x62 . x62 ∈ int ⟶ ∀ x63 . x63 ∈ int ⟶ x59 x62 x63 = If_i (SNoLe x62 0) x63 (x56 (x59 (add_SNo x62 (minus_SNo 1)) x63) x62)) ⟶ (∀ x62 . x62 ∈ int ⟶ x60 x62 = x59 (x57 x62) x58) ⟶ (∀ x62 . x62 ∈ int ⟶ x61 x62 = x60 x62) ⟶ ∀ x62 . x62 ∈ int ⟶ SNoLe 0 x62 ⟶ x25 x62 = x61 x62
Conjecture efe6e..A28141 : ∀ x0 : ι → ι → ι . (∀ x1 . x1 ∈ int ⟶ ∀ x2 . x2 ∈ int ⟶ x0 x1 x2 ∈ int) ⟶ ∀ x1 : ι → ι → ι . (∀ x2 . x2 ∈ int ⟶ ∀ x3 . x3 ∈ int ⟶ x1 x2 x3 ∈ int) ⟶ ∀ x2 : ι → ι . (∀ x3 . x3 ∈ int ⟶ x2 x3 ∈ int) ⟶ ∀ x3 . x3 ∈ int ⟶ ∀ x4 . x4 ∈ int ⟶ ∀ x5 : ι → ι → ι → ι . (∀ x6 . x6 ∈ int ⟶ ∀ x7 . x7 ∈ int ⟶ ∀ x8 . x8 ∈ int ⟶ x5 x6 x7 x8 ∈ int) ⟶ ∀ x6 : ι → ι → ι → ι . (∀ x7 . x7 ∈ int ⟶ ∀ x8 . x8 ∈ int ⟶ ∀ x9 . x9 ∈ int ⟶ x6 x7 x8 x9 ∈ int) ⟶ ∀ x7 : ι → ι . (∀ x8 . x8 ∈ int ⟶ x7 x8 ∈ int) ⟶ ∀ x8 : ι → ι . (∀ x9 . x9 ∈ int ⟶ x8 x9 ∈ int) ⟶ ∀ x9 : ι → ι . (∀ x10 . x10 ∈ int ⟶ x9 x10 ∈ int) ⟶ ∀ x10 . x10 ∈ int ⟶ ∀ x11 : ι → ι → ι . (∀ x12 . x12 ∈ int ⟶ ∀ x13 . x13 ∈ int ⟶ x11 x12 x13 ∈ int) ⟶ ∀ x12 : ι → ι . (∀ x13 . x13 ∈ int ⟶ x12 x13 ∈ int) ⟶ ∀ x13 : ι → ι . (∀ x14 . x14 ∈ int ⟶ x13 x14 ∈ int) ⟶ ∀ x14 . x14 ∈ int ⟶ ∀ x15 : ι → ι → ι . (∀ x16 . x16 ∈ int ⟶ ∀ x17 . x17 ∈ int ⟶ x15 x16 x17 ∈ int) ⟶ ∀ x16 : ι → ι → ι . (∀ x17 . x17 ∈ int ⟶ ∀ x18 . x18 ∈ int ⟶ x16 x17 x18 ∈ int) ⟶ ∀ x17 : ι → ι → ι . (∀ x18 . x18 ∈ int ⟶ ∀ x19 . x19 ∈ int ⟶ x17 x18 x19 ∈ int) ⟶ ∀ x18 : ι → ι → ι . (∀ x19 . x19 ∈ int ⟶ ∀ x20 . x20 ∈ int ⟶ x18 x19 x20 ∈ int) ⟶ ∀ x19 : ι → ι . (∀ x20 . x20 ∈ int ⟶ x19 x20 ∈ int) ⟶ ∀ x20 . x20 ∈ int ⟶ ∀ x21 : ι → ι → ι . (∀ x22 . x22 ∈ int ⟶ ∀ x23 . x23 ∈ int ⟶ x21 x22 x23 ∈ int) ⟶ ∀ x22 : ι → ι . (∀ x23 . x23 ∈ int ⟶ x22 x23 ∈ int) ⟶ ∀ x23 : ι → ι . (∀ x24 . x24 ∈ int ⟶ x23 x24 ∈ int) ⟶ ∀ x24 : ι → ι → ι . (∀ x25 . x25 ∈ int ⟶ ∀ x26 . x26 ∈ int ⟶ x24 x25 x26 ∈ int) ⟶ ∀ x25 : ι → ι → ι . (∀ x26 . x26 ∈ int ⟶ ∀ x27 . x27 ∈ int ⟶ x25 x26 x27 ∈ int) ⟶ ∀ x26 : ι → ι . (∀ x27 . x27 ∈ int ⟶ x26 x27 ∈ int) ⟶ ∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ ∀ x29 : ι → ι → ι → ι . (∀ x30 . x30 ∈ int ⟶ ∀ x31 . x31 ∈ int ⟶ ∀ x32 . x32 ∈ int ⟶ x29 x30 x31 x32 ∈ int) ⟶ ∀ x30 : ι → ι → ι → ι . (∀ x31 . x31 ∈ int ⟶ ∀ x32 . x32 ∈ int ⟶ ∀ x33 . x33 ∈ int ⟶ x30 x31 x32 x33 ∈ int) ⟶ ∀ x31 : ι → ι . (∀ x32 . x32 ∈ int ⟶ x31 x32 ∈ int) ⟶ ∀ x32 : ι → ι → ι . (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x32 x33 x34 ∈ int) ⟶ ∀ x33 : ι → ι → ι . (∀ x34 . x34 ∈ int ⟶ ∀ x35 . x35 ∈ int ⟶ x33 x34 x35 ∈ int) ⟶ ∀ x34 : ι → ι . (∀ x35 . x35 ∈ int ⟶ x34 x35 ∈ int) ⟶ ∀ x35 . x35 ∈ int ⟶ ∀ x36 . x36 ∈ int ⟶ ∀ x37 : ι → ι → ι → ι . (∀ x38 . x38 ∈ int ⟶ ∀ x39 . x39 ∈ int ⟶ ∀ x40 . x40 ∈ int ⟶ x37 x38 x39 x40 ∈ int) ⟶ ∀ x38 : ι → ι → ι → ι . (∀ x39 . x39 ∈ int ⟶ ∀ x40 . x40 ∈ int ⟶ ∀ x41 . x41 ∈ int ⟶ x38 x39 x40 x41 ∈ int) ⟶ ∀ x39 : ι → ι . (∀ x40 . x40 ∈ int ⟶ x39 x40 ∈ int) ⟶ ∀ x40 : ι → ι . (∀ x41 . x41 ∈ int ⟶ x40 x41 ∈ int) ⟶ ∀ x41 . x41 ∈ int ⟶ ∀ x42 : ι → ι → ι . (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x42 x43 x44 ∈ int) ⟶ ∀ x43 : ι → ι → ι . (∀ x44 . x44 ∈ int ⟶ ∀ x45 . x45 ∈ int ⟶ x43 x44 x45 ∈ int) ⟶ ∀ x44 : ι → ι → ι . (∀ x45 . x45 ∈ int ⟶ ∀ x46 . x46 ∈ int ⟶ x44 x45 x46 ∈ int) ⟶ ∀ x45 : ι → ι → ι . (∀ x46 . x46 ∈ int ⟶ ∀ x47 . x47 ∈ int ⟶ x45 x46 x47 ∈ int) ⟶ ∀ x46 : ι → ι . (∀ x47 . x47 ∈ int ⟶ x46 x47 ∈ int) ⟶ ∀ x47 . x47 ∈ int ⟶ ∀ x48 : ι → ι → ι . (∀ x49 . x49 ∈ int ⟶ ∀ x50 . x50 ∈ int ⟶ x48 x49 x50 ∈ int) ⟶ ∀ x49 : ι → ι . (∀ x50 . x50 ∈ int ⟶ x49 x50 ∈ int) ⟶ ∀ x50 : ι → ι . (∀ x51 . x51 ∈ int ⟶ x50 x51 ∈ int) ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x0 x51 x52 = add_SNo (add_SNo (mul_SNo 2 (add_SNo (mul_SNo x52 x52) x51)) (minus_SNo x52)) x51) ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x1 x51 x52 = add_SNo x52 x52) ⟶ (∀ x51 . x51 ∈ int ⟶ x2 x51 = x51) ⟶ x3 = 1 ⟶ x4 = 2 ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ ∀ x53 . x53 ∈ int ⟶ x5 x51 x52 x53 = If_i (SNoLe x51 0) x52 (x0 (x5 (add_SNo x51 (minus_SNo 1)) x52 x53) (x6 (add_SNo x51 (minus_SNo 1)) x52 x53))) ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ ∀ x53 . x53 ∈ int ⟶ x6 x51 x52 x53 = If_i (SNoLe x51 0) x53 (x1 (x5 (add_SNo x51 (minus_SNo 1)) x52 x53) (x6 (add_SNo x51 (minus_SNo 1)) x52 x53))) ⟶ (∀ x51 . x51 ∈ int ⟶ x7 x51 = x5 (x2 x51) x3 x4) ⟶ (∀ x51 . x51 ∈ int ⟶ x8 x51 = add_SNo (add_SNo x51 x51) x51) ⟶ (∀ x51 . x51 ∈ int ⟶ x9 x51 = x51) ⟶ x10 = 1 ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x11 x51 x52 = If_i (SNoLe x51 0) x52 (x8 (x11 (add_SNo x51 (minus_SNo 1)) x52))) ⟶ (∀ x51 . x51 ∈ int ⟶ x12 x51 = x11 (x9 x51) x10) ⟶ (∀ x51 . x51 ∈ int ⟶ x13 x51 = mul_SNo (x7 x51) (x12 x51)) ⟶ x14 = 1 ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x15 x51 x52 = x52) ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x16 x51 x52 = If_i (SNoLe x51 0) x52 (x13 (x16 (add_SNo x51 (minus_SNo 1)) x52))) ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x17 x51 x52 = x16 x14 (x15 x51 x52)) ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x18 x51 x52 = add_SNo (x17 x51 x52) (mul_SNo 2 (add_SNo x51 x51))) ⟶ (∀ x51 . x51 ∈ int ⟶ x19 x51 = x51) ⟶ x20 = 1 ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x21 x51 x52 = If_i (SNoLe x51 0) x52 (x18 (x21 (add_SNo x51 (minus_SNo 1)) x52) x51)) ⟶ (∀ x51 . x51 ∈ int ⟶ x22 x51 = x21 (x19 x51) x20) ⟶ (∀ x51 . x51 ∈ int ⟶ x23 x51 = x22 x51) ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x24 x51 x52 = add_SNo (add_SNo (mul_SNo 2 (add_SNo (mul_SNo x52 x52) x51)) (minus_SNo x52)) x51) ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x25 x51 x52 = add_SNo x52 x52) ⟶ (∀ x51 . x51 ∈ int ⟶ x26 x51 = x51) ⟶ x27 = 1 ⟶ x28 = 2 ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ ∀ x53 . x53 ∈ int ⟶ x29 x51 x52 x53 = If_i (SNoLe x51 0) x52 (x24 (x29 (add_SNo x51 (minus_SNo 1)) x52 x53) (x30 (add_SNo x51 (minus_SNo 1)) x52 x53))) ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ ∀ x53 . x53 ∈ int ⟶ x30 x51 x52 x53 = If_i (SNoLe x51 0) x53 (x25 (x29 (add_SNo x51 (minus_SNo 1)) x52 x53) (x30 (add_SNo x51 (minus_SNo 1)) x52 x53))) ⟶ (∀ x51 . x51 ∈ int ⟶ x31 x51 = x29 (x26 x51) x27 x28) ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x32 x51 x52 = mul_SNo x51 x52) ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x33 x51 x52 = x52) ⟶ (∀ x51 . x51 ∈ int ⟶ x34 x51 = x51) ⟶ x35 = 1 ⟶ x36 = add_SNo 1 2 ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ ∀ x53 . x53 ∈ int ⟶ x37 x51 x52 x53 = If_i (SNoLe x51 0) x52 (x32 (x37 (add_SNo x51 (minus_SNo 1)) x52 x53) (x38 (add_SNo x51 (minus_SNo 1)) x52 x53))) ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ ∀ x53 . x53 ∈ int ⟶ x38 x51 x52 x53 = If_i (SNoLe x51 0) x53 (x33 (x37 (add_SNo x51 (minus_SNo 1)) x52 x53) (x38 (add_SNo x51 (minus_SNo 1)) x52 x53))) ⟶ (∀ x51 . x51 ∈ int ⟶ x39 x51 = x37 (x34 x51) x35 x36) ⟶ (∀ x51 . x51 ∈ int ⟶ x40 x51 = mul_SNo (x31 x51) (x39 x51)) ⟶ x41 = 1 ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x42 x51 x52 = x52) ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x43 x51 x52 = If_i (SNoLe x51 0) x52 (x40 (x43 (add_SNo x51 (minus_SNo 1)) x52))) ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x44 x51 x52 = x43 x41 (x42 x51 x52)) ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x45 x51 x52 = add_SNo (x44 x51 x52) (mul_SNo 2 (add_SNo x51 x51))) ⟶ (∀ x51 . x51 ∈ int ⟶ x46 x51 = x51) ⟶ x47 = 1 ⟶ (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x48 x51 x52 = If_i (SNoLe x51 0) x52 (x45 (x48 (add_SNo x51 (minus_SNo 1)) x52) x51)) ⟶ (∀ x51 . x51 ∈ int ⟶ x49 x51 = x48 (x46 x51) x47) ⟶ (∀ x51 . x51 ∈ int ⟶ x50 x51 = x49 x51) ⟶ ∀ x51 . x51 ∈ int ⟶ SNoLe 0 x51 ⟶ x23 x51 = x50 x51
Conjecture 74c7e..A28139 : ∀ x0 : ι → ι . (∀ x1 . x1 ∈ int ⟶ x0 x1 ∈ int) ⟶ ∀ x1 : ι → ι → ι . (∀ x2 . x2 ∈ int ⟶ ∀ x3 . x3 ∈ int ⟶ x1 x2 x3 ∈ int) ⟶ ∀ x2 . x2 ∈ int ⟶ ∀ x3 : ι → ι → ι . (∀ x4 . x4 ∈ int ⟶ ∀ x5 . x5 ∈ int ⟶ x3 x4 x5 ∈ int) ⟶ ∀ x4 : ι → ι → ι . (∀ x5 . x5 ∈ int ⟶ ∀ x6 . x6 ∈ int ⟶ x4 x5 x6 ∈ int) ⟶ ∀ x5 : ι → ι → ι . (∀ x6 . x6 ∈ int ⟶ ∀ x7 . x7 ∈ int ⟶ x5 x6 x7 ∈ int) ⟶ ∀ x6 : ι → ι → ι . (∀ x7 . x7 ∈ int ⟶ ∀ x8 . x8 ∈ int ⟶ x6 x7 x8 ∈ int) ⟶ ∀ x7 . x7 ∈ int ⟶ ∀ x8 : ι → ι → ι . (∀ x9 . x9 ∈ int ⟶ ∀ x10 . x10 ∈ int ⟶ x8 x9 x10 ∈ int) ⟶ ∀ x9 : ι → ι → ι . (∀ x10 . x10 ∈ int ⟶ ∀ x11 . x11 ∈ int ⟶ x9 x10 x11 ∈ int) ⟶ ∀ x10 : ι → ι → ι . (∀ x11 . x11 ∈ int ⟶ ∀ x12 . x12 ∈ int ⟶ x10 x11 x12 ∈ int) ⟶ ∀ x11 : ι → ι → ι . (∀ x12 . x12 ∈ int ⟶ ∀ x13 . x13 ∈ int ⟶ x11 x12 x13 ∈ int) ⟶ ∀ x12 . x12 ∈ int ⟶ ∀ x13 : ι → ι → ι . (∀ x14 . x14 ∈ int ⟶ ∀ x15 . x15 ∈ int ⟶ x13 x14 x15 ∈ int) ⟶ ∀ x14 : ι → ι → ι . (∀ x15 . x15 ∈ int ⟶ ∀ x16 . x16 ∈ int ⟶ x14 x15 x16 ∈ int) ⟶ ∀ x15 : ι → ι → ι . (∀ x16 . x16 ∈ int ⟶ ∀ x17 . x17 ∈ int ⟶ x15 x16 x17 ∈ int) ⟶ ∀ x16 : ι → ι . (∀ x17 . x17 ∈ int ⟶ x16 x17 ∈ int) ⟶ ∀ x17 . x17 ∈ int ⟶ ∀ x18 : ι → ι → ι . (∀ x19 . x19 ∈ int ⟶ ∀ x20 . x20 ∈ int ⟶ x18 x19 x20 ∈ int) ⟶ ∀ x19 : ι → ι . (∀ x20 . x20 ∈ int ⟶ x19 x20 ∈ int) ⟶ ∀ x20 : ι → ι . (∀ x21 . x21 ∈ int ⟶ x20 x21 ∈ int) ⟶ ∀ x21 : ι → ι → ι . (∀ x22 . x22 ∈ int ⟶ ∀ x23 . x23 ∈ int ⟶ x21 x22 x23 ∈ int) ⟶ ∀ x22 : ι → ι → ι . (∀ x23 . x23 ∈ int ⟶ ∀ x24 . x24 ∈ int ⟶ x22 x23 x24 ∈ int) ⟶ ∀ x23 : ι → ι → ι . (∀ x24 . x24 ∈ int ⟶ ∀ x25 . x25 ∈ int ⟶ x23 x24 x25 ∈ int) ⟶ ∀ x24 . x24 ∈ int ⟶ ∀ x25 . x25 ∈ int ⟶ ∀ x26 : ι → ι → ι → ι . (∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ ∀ x29 . x29 ∈ int ⟶ x26 x27 x28 x29 ∈ int) ⟶ ∀ x27 : ι → ι → ι → ι . (∀ x28 . x28 ∈ int ⟶ ∀ x29 . x29 ∈ int ⟶ ∀ x30 . x30 ∈ int ⟶ x27 x28 x29 x30 ∈ int) ⟶ ∀ x28 : ι → ι → ι . (∀ x29 . x29 ∈ int ⟶ ∀ x30 . x30 ∈ int ⟶ x28 x29 x30 ∈ 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 . 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 . 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 (add_SNo x50 x50) x50) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x1 x50 x51 = add_SNo x51 x51) ⟶ x2 = 1 ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x3 x50 x51 = If_i (SNoLe x50 0) x51 (x0 (x3 (add_SNo x50 (minus_SNo 1)) x51))) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x4 x50 x51 = x3 (x1 x50 x51) x2) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x5 x50 x51 = add_SNo (x4 x50 x51) (mul_SNo 2 (add_SNo (add_SNo x50 x50) x50))) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x6 x50 x51 = x51) ⟶ x7 = 1 ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x8 x50 x51 = If_i (SNoLe x50 0) x51 (x5 (x8 (add_SNo x50 (minus_SNo 1)) x51) x50)) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x9 x50 x51 = x8 (x6 x50 x51) x7) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x10 x50 x51 = add_SNo (x9 x50 x51) (mul_SNo 2 (add_SNo (mul_SNo 2 (add_SNo x50 x50)) x50))) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x11 x50 x51 = x51) ⟶ x12 = 1 ⟶ (∀ 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 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x14 x50 x51 = x13 (x11 x50 x51) x12) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x15 x50 x51 = add_SNo (x14 x50 x51) (mul_SNo 2 (add_SNo x50 x50))) ⟶ (∀ x50 . x50 ∈ int ⟶ x16 x50 = x50) ⟶ 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 ⟶ x19 x50 = x18 (x16 x50) x17) ⟶ (∀ x50 . x50 ∈ int ⟶ x20 x50 = x19 x50) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x21 x50 x51 = add_SNo (add_SNo (add_SNo x50 x50) x50) x51) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x22 x50 x51 = add_SNo x51 x51) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x23 x50 x51 = x51) ⟶ x24 = 1 ⟶ x25 = 2 ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x26 x50 x51 x52 = If_i (SNoLe x50 0) x51 (x21 (x26 (add_SNo x50 (minus_SNo 1)) x51 x52) (x27 (add_SNo x50 (minus_SNo 1)) x51 x52))) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x27 x50 x51 x52 = If_i (SNoLe x50 0) x52 (x22 (x26 (add_SNo x50 (minus_SNo 1)) x51 x52) (x27 (add_SNo x50 (minus_SNo 1)) x51 x52))) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x28 x50 x51 = x26 (x23 x50 x51) x24 x25) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x29 x50 x51 = add_SNo (add_SNo (x28 x50 x51) (mul_SNo 2 (add_SNo x50 x50))) x50) ⟶ (∀ x50 . x50 ∈ int ⟶ x30 x50 = x50) ⟶ x31 = 1 ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x32 x50 x51 = If_i (SNoLe x50 0) x51 (x29 (x32 (add_SNo x50 (minus_SNo 1)) x51) x50)) ⟶ (∀ x50 . x50 ∈ int ⟶ x33 x50 = x32 (x30 x50) x31) ⟶ (∀ 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 (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 ⟶ x20 x50 = x49 x50
Conjecture e0a40..A28130 : ∀ 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 → 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 . x18 ∈ int ⟶ ∀ x19 : ι → ι → ι → ι . (∀ x20 . x20 ∈ int ⟶ ∀ x21 . x21 ∈ int ⟶ ∀ x22 . x22 ∈ int ⟶ x19 x20 x21 x22 ∈ int) ⟶ ∀ x20 : ι → ι → ι → ι . (∀ x21 . x21 ∈ int ⟶ ∀ x22 . x22 ∈ int ⟶ ∀ x23 . x23 ∈ int ⟶ x20 x21 x22 x23 ∈ int) ⟶ ∀ x21 : ι → ι . (∀ x22 . x22 ∈ int ⟶ x21 x22 ∈ int) ⟶ ∀ x22 : ι → ι . (∀ x23 . x23 ∈ int ⟶ x22 x23 ∈ int) ⟶ ∀ x23 : ι → ι . (∀ x24 . x24 ∈ int ⟶ x23 x24 ∈ int) ⟶ ∀ x24 . x24 ∈ 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 : 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 → 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 : 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 : 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 (add_SNo (add_SNo x39 (minus_SNo 1)) x39) (mul_SNo x39 x39)) x38) (mul_SNo 2 (add_SNo (add_SNo x38 x38) 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 (x7 x38 x39) (mul_SNo 2 (add_SNo (add_SNo 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 = x12 x38) ⟶ (∀ x38 . x38 ∈ int ⟶ ∀ x39 . x39 ∈ int ⟶ x14 x38 x39 = add_SNo (add_SNo (mul_SNo 2 (add_SNo (mul_SNo x39 x39) x38)) (minus_SNo x39)) x38) ⟶ (∀ x38 . x38 ∈ int ⟶ ∀ x39 . x39 ∈ int ⟶ x15 x38 x39 = add_SNo x39 x39) ⟶ (∀ x38 . x38 ∈ int ⟶ x16 x38 = x38) ⟶ x17 = 1 ⟶ x18 = 2 ⟶ (∀ x38 . x38 ∈ int ⟶ ∀ x39 . x39 ∈ int ⟶ ∀ x40 . x40 ∈ int ⟶ x19 x38 x39 x40 = If_i (SNoLe x38 0) x39 (x14 (x19 (add_SNo x38 (minus_SNo 1)) x39 x40) (x20 (add_SNo x38 (minus_SNo 1)) x39 x40))) ⟶ (∀ x38 . x38 ∈ int ⟶ ∀ x39 . x39 ∈ int ⟶ ∀ x40 . x40 ∈ int ⟶ x20 x38 x39 x40 = If_i (SNoLe x38 0) x40 (x15 (x19 (add_SNo x38 (minus_SNo 1)) x39 x40) (x20 (add_SNo x38 (minus_SNo 1)) x39 x40))) ⟶ (∀ x38 . x38 ∈ int ⟶ x21 x38 = x19 (x16 x38) x17 x18) ⟶ (∀ x38 . x38 ∈ int ⟶ x22 x38 = add_SNo x38 x38) ⟶ (∀ x38 . x38 ∈ int ⟶ x23 x38 = x38) ⟶ x24 = 1 ⟶ (∀ x38 . x38 ∈ int ⟶ ∀ x39 . x39 ∈ int ⟶ x25 x38 x39 = If_i (SNoLe x38 0) x39 (x22 (x25 (add_SNo x38 (minus_SNo 1)) x39))) ⟶ (∀ x38 . x38 ∈ int ⟶ x26 x38 = x25 (x23 x38) x24) ⟶ (∀ x38 . x38 ∈ int ⟶ x27 x38 = mul_SNo (x21 x38) (x26 x38)) ⟶ x28 = 1 ⟶ (∀ x38 . x38 ∈ int ⟶ ∀ x39 . x39 ∈ int ⟶ x29 x38 x39 = x39) ⟶ (∀ 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 ∈ int ⟶ ∀ x39 . x39 ∈ int ⟶ x31 x38 x39 = x30 x28 (x29 x38 x39)) ⟶ (∀ x38 . x38 ∈ int ⟶ ∀ x39 . x39 ∈ int ⟶ x32 x38 x39 = add_SNo (add_SNo (x31 x38 x39) (mul_SNo 2 (add_SNo (add_SNo x38 x38) 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 . x38 ∈ int ⟶ x36 x38 = x35 (x33 x38) x34) ⟶ (∀ x38 . x38 ∈ int ⟶ x37 x38 = x36 x38) ⟶ ∀ x38 . x38 ∈ int ⟶ SNoLe 0 x38 ⟶ x13 x38 = x37 x38
Conjecture c88a9..A28122 : ∀ x0 : ι → ι → ι . (∀ x1 . x1 ∈ int ⟶ ∀ x2 . x2 ∈ int ⟶ x0 x1 x2 ∈ int) ⟶ ∀ x1 : ι → ι → ι . (∀ x2 . x2 ∈ int ⟶ ∀ x3 . x3 ∈ int ⟶ x1 x2 x3 ∈ int) ⟶ ∀ x2 : ι → ι → ι . (∀ x3 . x3 ∈ int ⟶ ∀ x4 . x4 ∈ int ⟶ x2 x3 x4 ∈ int) ⟶ ∀ x3 . x3 ∈ int ⟶ ∀ x4 . x4 ∈ int ⟶ ∀ x5 : ι → ι → ι → ι . (∀ x6 . x6 ∈ int ⟶ ∀ x7 . x7 ∈ int ⟶ ∀ x8 . x8 ∈ int ⟶ x5 x6 x7 x8 ∈ int) ⟶ ∀ x6 : ι → ι → ι → ι . (∀ x7 . x7 ∈ int ⟶ ∀ x8 . x8 ∈ int ⟶ ∀ x9 . x9 ∈ int ⟶ x6 x7 x8 x9 ∈ int) ⟶ ∀ x7 : ι → ι → ι . (∀ x8 . x8 ∈ int ⟶ ∀ x9 . x9 ∈ int ⟶ x7 x8 x9 ∈ int) ⟶ ∀ x8 : ι → ι → ι . (∀ x9 . x9 ∈ int ⟶ ∀ x10 . x10 ∈ int ⟶ x8 x9 x10 ∈ int) ⟶ ∀ x9 . x9 ∈ int ⟶ ∀ x10 : ι → ι . (∀ x11 . x11 ∈ int ⟶ x10 x11 ∈ int) ⟶ ∀ x11 : ι → ι → ι . (∀ x12 . x12 ∈ int ⟶ ∀ x13 . x13 ∈ int ⟶ x11 x12 x13 ∈ int) ⟶ ∀ x12 : ι → ι . (∀ x13 . x13 ∈ int ⟶ x12 x13 ∈ int) ⟶ ∀ x13 : ι → ι → ι . (∀ x14 . x14 ∈ int ⟶ ∀ x15 . x15 ∈ int ⟶ x13 x14 x15 ∈ int) ⟶ ∀ x14 : ι → ι . (∀ x15 . x15 ∈ int ⟶ x14 x15 ∈ int) ⟶ ∀ x15 . x15 ∈ int ⟶ ∀ x16 : ι → ι → ι . (∀ x17 . x17 ∈ int ⟶ ∀ x18 . x18 ∈ int ⟶ x16 x17 x18 ∈ int) ⟶ ∀ x17 : ι → ι . (∀ x18 . x18 ∈ int ⟶ x17 x18 ∈ int) ⟶ ∀ x18 : ι → ι . (∀ x19 . x19 ∈ int ⟶ x18 x19 ∈ int) ⟶ ∀ x19 : ι → ι → ι . (∀ x20 . x20 ∈ int ⟶ ∀ x21 . x21 ∈ int ⟶ x19 x20 x21 ∈ int) ⟶ ∀ x20 : ι → ι → ι . (∀ x21 . x21 ∈ int ⟶ ∀ x22 . x22 ∈ int ⟶ x20 x21 x22 ∈ int) ⟶ ∀ x21 : ι → ι → ι . (∀ x22 . x22 ∈ int ⟶ ∀ x23 . x23 ∈ int ⟶ x21 x22 x23 ∈ int) ⟶ ∀ x22 . x22 ∈ int ⟶ ∀ x23 . x23 ∈ int ⟶ ∀ x24 : ι → ι → ι → ι . (∀ x25 . x25 ∈ int ⟶ ∀ x26 . x26 ∈ int ⟶ ∀ x27 . x27 ∈ int ⟶ x24 x25 x26 x27 ∈ int) ⟶ ∀ x25 : ι → ι → ι → ι . (∀ x26 . x26 ∈ int ⟶ ∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ x25 x26 x27 x28 ∈ int) ⟶ ∀ x26 : ι → ι → ι . (∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ x26 x27 x28 ∈ int) ⟶ ∀ x27 : ι → ι → ι . (∀ x28 . x28 ∈ int ⟶ ∀ x29 . x29 ∈ int ⟶ x27 x28 x29 ∈ int) ⟶ ∀ x28 : ι → ι . (∀ x29 . x29 ∈ int ⟶ x28 x29 ∈ int) ⟶ ∀ x29 . x29 ∈ int ⟶ ∀ x30 : ι → ι → ι . (∀ x31 . x31 ∈ int ⟶ ∀ x32 . x32 ∈ int ⟶ x30 x31 x32 ∈ int) ⟶ ∀ x31 : ι → ι . (∀ x32 . x32 ∈ int ⟶ x31 x32 ∈ int) ⟶ ∀ x32 : ι → ι . (∀ x33 . x33 ∈ int ⟶ x32 x33 ∈ int) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x0 x33 x34 = add_SNo (add_SNo (mul_SNo (add_SNo (add_SNo x34 (minus_SNo 1)) x34) (mul_SNo x34 x34)) x33) (mul_SNo 2 (add_SNo x33 x33))) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x1 x33 x34 = add_SNo x34 x34) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x2 x33 x34 = x34) ⟶ x3 = 1 ⟶ x4 = 2 ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ ∀ x35 . x35 ∈ int ⟶ x5 x33 x34 x35 = If_i (SNoLe x33 0) x34 (x0 (x5 (add_SNo x33 (minus_SNo 1)) x34 x35) (x6 (add_SNo x33 (minus_SNo 1)) x34 x35))) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ ∀ x35 . x35 ∈ int ⟶ x6 x33 x34 x35 = If_i (SNoLe x33 0) x35 (x1 (x5 (add_SNo x33 (minus_SNo 1)) x34 x35) (x6 (add_SNo x33 (minus_SNo 1)) x34 x35))) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x7 x33 x34 = x5 (x2 x33 x34) x3 x4) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x8 x33 x34 = mul_SNo (add_SNo 2 x34) x33) ⟶ x9 = 2 ⟶ (∀ x33 . x33 ∈ int ⟶ x10 x33 = x33) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x11 x33 x34 = If_i (SNoLe x33 0) x34 (x8 (x11 (add_SNo x33 (minus_SNo 1)) x34) x33)) ⟶ (∀ x33 . x33 ∈ int ⟶ x12 x33 = x11 x9 (x10 x33)) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x13 x33 x34 = add_SNo (x7 x33 x34) (add_SNo (x12 x33) (minus_SNo x33))) ⟶ (∀ x33 . x33 ∈ int ⟶ x14 x33 = x33) ⟶ x15 = 1 ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x16 x33 x34 = If_i (SNoLe x33 0) x34 (x13 (x16 (add_SNo x33 (minus_SNo 1)) x34) x33)) ⟶ (∀ x33 . x33 ∈ int ⟶ x17 x33 = x16 (x14 x33) x15) ⟶ (∀ x33 . x33 ∈ int ⟶ x18 x33 = x17 x33) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x19 x33 x34 = add_SNo (add_SNo (mul_SNo (add_SNo (add_SNo x34 (minus_SNo 1)) x34) (mul_SNo x34 x34)) x33) (mul_SNo 2 (add_SNo x33 x33))) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x20 x33 x34 = add_SNo x34 x34) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x21 x33 x34 = x34) ⟶ x22 = 1 ⟶ x23 = 2 ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ ∀ x35 . x35 ∈ int ⟶ x24 x33 x34 x35 = If_i (SNoLe x33 0) x34 (x19 (x24 (add_SNo x33 (minus_SNo 1)) x34 x35) (x25 (add_SNo x33 (minus_SNo 1)) x34 x35))) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ ∀ x35 . x35 ∈ int ⟶ x25 x33 x34 x35 = If_i (SNoLe x33 0) x35 (x20 (x24 (add_SNo x33 (minus_SNo 1)) x34 x35) (x25 (add_SNo x33 (minus_SNo 1)) x34 x35))) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x26 x33 x34 = x24 (x21 x33 x34) x22 x23) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x27 x33 x34 = add_SNo (add_SNo (x26 x33 x34) (mul_SNo 2 (add_SNo (mul_SNo 2 (add_SNo x33 x33)) x33))) x33) ⟶ (∀ x33 . x33 ∈ int ⟶ x28 x33 = x33) ⟶ x29 = 1 ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x30 x33 x34 = If_i (SNoLe x33 0) x34 (x27 (x30 (add_SNo x33 (minus_SNo 1)) x34) x33)) ⟶ (∀ x33 . x33 ∈ int ⟶ x31 x33 = x30 (x28 x33) x29) ⟶ (∀ x33 . x33 ∈ int ⟶ x32 x33 = x31 x33) ⟶ ∀ x33 . x33 ∈ int ⟶ SNoLe 0 x33 ⟶ x18 x33 = x32 x33
Conjecture c8ccf..A28120 : ∀ 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 . (∀ x9 . x9 ∈ int ⟶ x8 x9 ∈ int) ⟶ ∀ x9 . x9 ∈ int ⟶ ∀ x10 : ι → ι . (∀ x11 . x11 ∈ int ⟶ x10 x11 ∈ int) ⟶ ∀ x11 : ι → ι → ι . (∀ x12 . x12 ∈ int ⟶ ∀ x13 . x13 ∈ int ⟶ x11 x12 x13 ∈ int) ⟶ ∀ x12 : ι → ι . (∀ x13 . x13 ∈ int ⟶ x12 x13 ∈ int) ⟶ ∀ x13 : ι → ι → ι . (∀ x14 . x14 ∈ int ⟶ ∀ x15 . x15 ∈ int ⟶ x13 x14 x15 ∈ int) ⟶ ∀ x14 : ι → ι . (∀ x15 . x15 ∈ int ⟶ x14 x15 ∈ int) ⟶ ∀ x15 . x15 ∈ int ⟶ ∀ x16 : ι → ι → ι . (∀ x17 . x17 ∈ int ⟶ ∀ x18 . x18 ∈ int ⟶ x16 x17 x18 ∈ int) ⟶ ∀ x17 : ι → ι . (∀ x18 . x18 ∈ int ⟶ x17 x18 ∈ int) ⟶ ∀ x18 : ι → ι . (∀ x19 . x19 ∈ int ⟶ x18 x19 ∈ int) ⟶ ∀ x19 : ι → ι → ι . (∀ x20 . x20 ∈ int ⟶ ∀ x21 . x21 ∈ int ⟶ x19 x20 x21 ∈ int) ⟶ ∀ x20 : ι → ι → ι . (∀ x21 . x21 ∈ int ⟶ ∀ x22 . x22 ∈ int ⟶ x20 x21 x22 ∈ int) ⟶ ∀ x21 : ι → ι → ι . (∀ x22 . x22 ∈ int ⟶ ∀ x23 . x23 ∈ int ⟶ x21 x22 x23 ∈ int) ⟶ ∀ x22 . x22 ∈ int ⟶ ∀ x23 . x23 ∈ int ⟶ ∀ x24 : ι → ι → ι → ι . (∀ x25 . x25 ∈ int ⟶ ∀ x26 . x26 ∈ int ⟶ ∀ x27 . x27 ∈ int ⟶ x24 x25 x26 x27 ∈ int) ⟶ ∀ x25 : ι → ι → ι → ι . (∀ x26 . x26 ∈ int ⟶ ∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ x25 x26 x27 x28 ∈ int) ⟶ ∀ x26 : ι → ι → ι . (∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ x26 x27 x28 ∈ int) ⟶ ∀ x27 : ι → ι → ι . (∀ x28 . x28 ∈ int ⟶ ∀ x29 . x29 ∈ int ⟶ x27 x28 x29 ∈ int) ⟶ ∀ x28 : ι → ι . (∀ x29 . x29 ∈ int ⟶ x28 x29 ∈ int) ⟶ ∀ x29 . x29 ∈ int ⟶ ∀ x30 : ι → ι → ι . (∀ x31 . x31 ∈ int ⟶ ∀ x32 . x32 ∈ int ⟶ x30 x31 x32 ∈ int) ⟶ ∀ x31 : ι → ι . (∀ x32 . x32 ∈ int ⟶ x31 x32 ∈ int) ⟶ ∀ x32 : ι → ι . (∀ x33 . x33 ∈ int ⟶ x32 x33 ∈ int) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x0 x33 x34 = add_SNo (add_SNo (mul_SNo (add_SNo (add_SNo x34 (minus_SNo 1)) x34) (mul_SNo x34 x34)) x33) (mul_SNo 2 (add_SNo x33 x33))) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x1 x33 x34 = add_SNo x34 x34) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x2 x33 x34 = x34) ⟶ x3 = 1 ⟶ x4 = 2 ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ ∀ x35 . x35 ∈ int ⟶ x5 x33 x34 x35 = If_i (SNoLe x33 0) x34 (x0 (x5 (add_SNo x33 (minus_SNo 1)) x34 x35) (x6 (add_SNo x33 (minus_SNo 1)) x34 x35))) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ ∀ x35 . x35 ∈ int ⟶ x6 x33 x34 x35 = If_i (SNoLe x33 0) x35 (x1 (x5 (add_SNo x33 (minus_SNo 1)) x34 x35) (x6 (add_SNo x33 (minus_SNo 1)) x34 x35))) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x7 x33 x34 = x5 (x2 x33 x34) x3 x4) ⟶ (∀ x33 . x33 ∈ int ⟶ x8 x33 = add_SNo (add_SNo x33 x33) 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 ∈ 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 (add_SNo (add_SNo x34 (minus_SNo 1)) x34) (mul_SNo x34 x34)) x33) (mul_SNo 2 (add_SNo x33 x33))) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x20 x33 x34 = add_SNo x34 x34) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x21 x33 x34 = x34) ⟶ x22 = 1 ⟶ x23 = 2 ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ ∀ x35 . x35 ∈ int ⟶ x24 x33 x34 x35 = If_i (SNoLe x33 0) x34 (x19 (x24 (add_SNo x33 (minus_SNo 1)) x34 x35) (x25 (add_SNo x33 (minus_SNo 1)) x34 x35))) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ ∀ x35 . x35 ∈ int ⟶ x25 x33 x34 x35 = If_i (SNoLe x33 0) x35 (x20 (x24 (add_SNo x33 (minus_SNo 1)) x34 x35) (x25 (add_SNo x33 (minus_SNo 1)) x34 x35))) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x26 x33 x34 = x24 (x21 x33 x34) x22 x23) ⟶ (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x27 x33 x34 = add_SNo (add_SNo (x26 x33 x34) (mul_SNo 2 (mul_SNo 2 (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 dd706..A28118 : ∀ 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)) (mul_SNo x44 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)) (mul_SNo x44 x44)) x43) ⟶ (∀ 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 900e2..A28117 : ∀ 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 (x14 x60 x61) (mul_SNo 2 (add_SNo x60 x60))) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x16 x60 x61 = x61) ⟶ x17 = 1 ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x18 x60 x61 = If_i (SNoLe x60 0) x61 (x15 (x18 (add_SNo x60 (minus_SNo 1)) x61) x60)) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x19 x60 x61 = x18 (x16 x60 x61) x17) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x20 x60 x61 = add_SNo (add_SNo (x19 x60 x61) (mul_SNo 2 (add_SNo (add_SNo x60 x60) x60))) x60) ⟶ (∀ x60 . x60 ∈ int ⟶ x21 x60 = x60) ⟶ x22 = 1 ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x23 x60 x61 = If_i (SNoLe x60 0) x61 (x20 (x23 (add_SNo x60 (minus_SNo 1)) x61) x60)) ⟶ (∀ x60 . x60 ∈ int ⟶ x24 x60 = x23 (x21 x60) x22) ⟶ (∀ x60 . x60 ∈ int ⟶ x25 x60 = x24 x60) ⟶ (∀ x60 . x60 ∈ int ⟶ x26 x60 = add_SNo x60 x60) ⟶ (∀ x60 . x60 ∈ int ⟶ x27 x60 = x60) ⟶ x28 = 2 ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x29 x60 x61 = If_i (SNoLe x60 0) x61 (x26 (x29 (add_SNo x60 (minus_SNo 1)) x61))) ⟶ (∀ x60 . x60 ∈ int ⟶ x30 x60 = x29 (x27 x60) x28) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x31 x60 x61 = mul_SNo x60 x61) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x32 x60 x61 = x61) ⟶ (∀ x60 . x60 ∈ int ⟶ x33 x60 = x60) ⟶ x34 = 1 ⟶ x35 = add_SNo 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 (x43 x60 x61) (mul_SNo 2 (add_SNo 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) (mul_SNo 2 (add_SNo (add_SNo x60 x60) x60))) x60) ⟶ (∀ 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 3f660..A28115 : ∀ 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 → 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 . x18 ∈ int ⟶ ∀ x19 : ι → ι → ι → ι . (∀ x20 . x20 ∈ int ⟶ ∀ x21 . x21 ∈ int ⟶ ∀ x22 . x22 ∈ int ⟶ x19 x20 x21 x22 ∈ int) ⟶ ∀ x20 : ι → ι → ι → ι . (∀ x21 . x21 ∈ int ⟶ ∀ x22 . x22 ∈ int ⟶ ∀ x23 . x23 ∈ int ⟶ x20 x21 x22 x23 ∈ int) ⟶ ∀ x21 : ι → ι → ι . (∀ x22 . x22 ∈ int ⟶ ∀ x23 . x23 ∈ int ⟶ x21 x22 x23 ∈ int) ⟶ ∀ x22 : ι → ι → ι . (∀ x23 . x23 ∈ int ⟶ ∀ x24 . x24 ∈ int ⟶ x22 x23 x24 ∈ int) ⟶ ∀ x23 : ι → ι . (∀ x24 . x24 ∈ int ⟶ x23 x24 ∈ int) ⟶ ∀ x24 . x24 ∈ int ⟶ ∀ x25 : ι → ι → ι . (∀ x26 . x26 ∈ int ⟶ ∀ x27 . x27 ∈ int ⟶ x25 x26 x27 ∈ int) ⟶ ∀ x26 : ι → ι . (∀ x27 . x27 ∈ int ⟶ x26 x27 ∈ int) ⟶ ∀ x27 : ι → ι . (∀ x28 . x28 ∈ int ⟶ x27 x28 ∈ int) ⟶ (∀ x28 . x28 ∈ int ⟶ ∀ x29 . x29 ∈ int ⟶ x0 x28 x29 = add_SNo (add_SNo (mul_SNo (add_SNo (add_SNo x29 (minus_SNo 1)) x29) (mul_SNo x29 x29)) x28) (mul_SNo 2 (add_SNo (add_SNo x28 x28) x28))) ⟶ (∀ x28 . x28 ∈ int ⟶ ∀ x29 . x29 ∈ int ⟶ x1 x28 x29 = add_SNo x29 x29) ⟶ (∀ x28 . x28 ∈ int ⟶ ∀ x29 . x29 ∈ int ⟶ x2 x28 x29 = x29) ⟶ x3 = 1 ⟶ x4 = 2 ⟶ (∀ x28 . x28 ∈ int ⟶ ∀ x29 . x29 ∈ int ⟶ ∀ x30 . x30 ∈ int ⟶ x5 x28 x29 x30 = If_i (SNoLe x28 0) x29 (x0 (x5 (add_SNo x28 (minus_SNo 1)) x29 x30) (x6 (add_SNo x28 (minus_SNo 1)) x29 x30))) ⟶ (∀ x28 . x28 ∈ int ⟶ ∀ x29 . x29 ∈ int ⟶ ∀ x30 . x30 ∈ int ⟶ x6 x28 x29 x30 = If_i (SNoLe x28 0) x30 (x1 (x5 (add_SNo x28 (minus_SNo 1)) x29 x30) (x6 (add_SNo x28 (minus_SNo 1)) x29 x30))) ⟶ (∀ x28 . x28 ∈ int ⟶ ∀ x29 . x29 ∈ int ⟶ x7 x28 x29 = x5 (x2 x28 x29) x3 x4) ⟶ (∀ x28 . x28 ∈ int ⟶ ∀ x29 . x29 ∈ int ⟶ x8 x28 x29 = add_SNo (add_SNo (x7 x28 x29) (mul_SNo 2 (add_SNo x28 x28))) x28) ⟶ (∀ x28 . x28 ∈ int ⟶ x9 x28 = x28) ⟶ x10 = 1 ⟶ (∀ x28 . x28 ∈ int ⟶ ∀ x29 . x29 ∈ int ⟶ x11 x28 x29 = If_i (SNoLe x28 0) x29 (x8 (x11 (add_SNo x28 (minus_SNo 1)) x29) x28)) ⟶ (∀ x28 . x28 ∈ int ⟶ x12 x28 = x11 (x9 x28) x10) ⟶ (∀ x28 . x28 ∈ int ⟶ x13 x28 = x12 x28) ⟶ (∀ x28 . x28 ∈ int ⟶ ∀ x29 . x29 ∈ int ⟶ x14 x28 x29 = add_SNo (add_SNo (mul_SNo (add_SNo (add_SNo x29 (minus_SNo 1)) x29) (mul_SNo x29 x29)) x28) (mul_SNo 2 (add_SNo x28 x28))) ⟶ (∀ x28 . x28 ∈ int ⟶ ∀ x29 . x29 ∈ int ⟶ x15 x28 x29 = add_SNo x29 x29) ⟶ (∀ x28 . x28 ∈ int ⟶ ∀ x29 . x29 ∈ int ⟶ x16 x28 x29 = x29) ⟶ x17 = 1 ⟶ x18 = 2 ⟶ (∀ x28 . x28 ∈ int ⟶ ∀ x29 . x29 ∈ int ⟶ ∀ x30 . x30 ∈ int ⟶ x19 x28 x29 x30 = If_i (SNoLe x28 0) x29 (x14 (x19 (add_SNo x28 (minus_SNo 1)) x29 x30) (x20 (add_SNo x28 (minus_SNo 1)) x29 x30))) ⟶ (∀ x28 . x28 ∈ int ⟶ ∀ x29 . x29 ∈ int ⟶ ∀ x30 . x30 ∈ int ⟶ x20 x28 x29 x30 = If_i (SNoLe x28 0) x30 (x15 (x19 (add_SNo x28 (minus_SNo 1)) x29 x30) (x20 (add_SNo x28 (minus_SNo 1)) x29 x30))) ⟶ (∀ x28 . x28 ∈ int ⟶ ∀ x29 . x29 ∈ int ⟶ x21 x28 x29 = x19 (x16 x28 x29) x17 x18) ⟶ (∀ x28 . x28 ∈ int ⟶ ∀ x29 . x29 ∈ int ⟶ x22 x28 x29 = add_SNo (add_SNo (x21 x28 x29) (mul_SNo 2 (add_SNo (add_SNo x28 x28) x28))) x28) ⟶ (∀ x28 . x28 ∈ int ⟶ x23 x28 = x28) ⟶ x24 = 1 ⟶ (∀ x28 . x28 ∈ int ⟶ ∀ x29 . x29 ∈ int ⟶ x25 x28 x29 = If_i (SNoLe x28 0) x29 (x22 (x25 (add_SNo x28 (minus_SNo 1)) x29) x28)) ⟶ (∀ x28 . x28 ∈ int ⟶ x26 x28 = x25 (x23 x28) x24) ⟶ (∀ x28 . x28 ∈ int ⟶ x27 x28 = x26 x28) ⟶ ∀ x28 . x28 ∈ int ⟶ SNoLe 0 x28 ⟶ x13 x28 = x27 x28
Conjecture 6fbd1..A28112 : ∀ 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 (x14 x60 x61) (mul_SNo 2 (add_SNo 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 (x19 x60 x61) (mul_SNo 2 (add_SNo (add_SNo x60 x60) x60))) ⟶ (∀ x60 . x60 ∈ int ⟶ x21 x60 = x60) ⟶ x22 = 1 ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x23 x60 x61 = If_i (SNoLe x60 0) x61 (x20 (x23 (add_SNo x60 (minus_SNo 1)) x61) x60)) ⟶ (∀ x60 . x60 ∈ int ⟶ x24 x60 = x23 (x21 x60) x22) ⟶ (∀ x60 . x60 ∈ int ⟶ x25 x60 = x24 x60) ⟶ (∀ x60 . x60 ∈ int ⟶ x26 x60 = add_SNo x60 x60) ⟶ (∀ x60 . x60 ∈ int ⟶ x27 x60 = x60) ⟶ x28 = 2 ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x29 x60 x61 = If_i (SNoLe x60 0) x61 (x26 (x29 (add_SNo x60 (minus_SNo 1)) x61))) ⟶ (∀ x60 . x60 ∈ int ⟶ x30 x60 = x29 (x27 x60) x28) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x31 x60 x61 = mul_SNo x60 x61) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x32 x60 x61 = x61) ⟶ (∀ x60 . x60 ∈ int ⟶ x33 x60 = x60) ⟶ x34 = 1 ⟶ x35 = add_SNo 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 (x43 x60 x61) (mul_SNo 2 (add_SNo 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 (x53 x60 x61) (mul_SNo 2 (add_SNo (add_SNo x60 x60) x60))) ⟶ (∀ 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 6d529..A28106 : ∀ x0 : ι → ι . (∀ x1 . x1 ∈ int ⟶ x0 x1 ∈ int) ⟶ ∀ x1 : ι → ι → ι . (∀ x2 . x2 ∈ int ⟶ ∀ x3 . x3 ∈ int ⟶ x1 x2 x3 ∈ int) ⟶ ∀ x2 . x2 ∈ int ⟶ ∀ x3 : ι → ι → ι . (∀ x4 . x4 ∈ int ⟶ ∀ x5 . x5 ∈ int ⟶ x3 x4 x5 ∈ int) ⟶ ∀ x4 : ι → ι → ι . (∀ x5 . x5 ∈ int ⟶ ∀ x6 . x6 ∈ int ⟶ x4 x5 x6 ∈ int) ⟶ ∀ x5 : ι → ι → ι . (∀ x6 . x6 ∈ int ⟶ ∀ x7 . x7 ∈ int ⟶ x5 x6 x7 ∈ int) ⟶ ∀ x6 : ι → ι → ι . (∀ x7 . x7 ∈ int ⟶ ∀ x8 . x8 ∈ int ⟶ x6 x7 x8 ∈ int) ⟶ ∀ x7 . x7 ∈ int ⟶ ∀ x8 : ι → ι → ι . (∀ x9 . x9 ∈ int ⟶ ∀ x10 . x10 ∈ int ⟶ x8 x9 x10 ∈ int) ⟶ ∀ x9 : ι → ι → ι . (∀ x10 . x10 ∈ int ⟶ ∀ x11 . x11 ∈ int ⟶ x9 x10 x11 ∈ int) ⟶ ∀ x10 : ι → ι → ι . (∀ x11 . x11 ∈ int ⟶ ∀ x12 . x12 ∈ int ⟶ x10 x11 x12 ∈ int) ⟶ ∀ x11 . x11 ∈ int ⟶ ∀ x12 : ι → ι . (∀ x13 . x13 ∈ int ⟶ x12 x13 ∈ int) ⟶ ∀ x13 : ι → ι → ι . (∀ x14 . x14 ∈ int ⟶ ∀ x15 . x15 ∈ int ⟶ x13 x14 x15 ∈ int) ⟶ ∀ x14 : ι → ι . (∀ x15 . x15 ∈ int ⟶ x14 x15 ∈ int) ⟶ ∀ x15 : ι → ι → ι . (∀ x16 . x16 ∈ int ⟶ ∀ x17 . x17 ∈ int ⟶ x15 x16 x17 ∈ int) ⟶ ∀ x16 : ι → ι → ι . (∀ x17 . x17 ∈ int ⟶ ∀ x18 . x18 ∈ int ⟶ x16 x17 x18 ∈ int) ⟶ ∀ x17 . x17 ∈ int ⟶ ∀ x18 : ι → ι → ι . (∀ x19 . x19 ∈ int ⟶ ∀ x20 . x20 ∈ int ⟶ x18 x19 x20 ∈ int) ⟶ ∀ x19 : ι → ι → ι . (∀ x20 . x20 ∈ int ⟶ ∀ x21 . x21 ∈ int ⟶ x19 x20 x21 ∈ int) ⟶ ∀ x20 : ι → ι → ι . (∀ x21 . x21 ∈ int ⟶ ∀ x22 . x22 ∈ int ⟶ x20 x21 x22 ∈ int) ⟶ ∀ x21 : ι → ι . (∀ x22 . x22 ∈ int ⟶ x21 x22 ∈ int) ⟶ ∀ x22 . x22 ∈ int ⟶ ∀ x23 : ι → ι → ι . (∀ x24 . x24 ∈ int ⟶ ∀ x25 . x25 ∈ int ⟶ x23 x24 x25 ∈ int) ⟶ ∀ x24 : ι → ι . (∀ x25 . x25 ∈ int ⟶ x24 x25 ∈ int) ⟶ ∀ x25 : ι → ι . (∀ x26 . x26 ∈ int ⟶ x25 x26 ∈ int) ⟶ ∀ x26 : ι → ι → ι . (∀ x27 . x27 ∈ int ⟶ ∀ x28 . x28 ∈ int ⟶ x26 x27 x28 ∈ int) ⟶ ∀ x27 : ι → ι → ι . (∀ x28 . x28 ∈ int ⟶ ∀ x29 . x29 ∈ int ⟶ x27 x28 x29 ∈ int) ⟶ ∀ x28 : ι → ι . (∀ x29 . x29 ∈ int ⟶ x28 x29 ∈ int) ⟶ ∀ x29 . x29 ∈ int ⟶ ∀ x30 . x30 ∈ int ⟶ ∀ x31 : ι → ι → ι → ι . (∀ x32 . x32 ∈ int ⟶ ∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ x31 x32 x33 x34 ∈ int) ⟶ ∀ x32 : ι → ι → ι → ι . (∀ x33 . x33 ∈ int ⟶ ∀ x34 . x34 ∈ int ⟶ ∀ x35 . x35 ∈ int ⟶ x32 x33 x34 x35 ∈ int) ⟶ ∀ x33 : ι → ι . (∀ x34 . x34 ∈ int ⟶ x33 x34 ∈ int) ⟶ ∀ x34 : ι → ι → ι . (∀ x35 . x35 ∈ int ⟶ ∀ x36 . x36 ∈ int ⟶ x34 x35 x36 ∈ int) ⟶ ∀ x35 : ι → ι → ι . (∀ x36 . x36 ∈ int ⟶ ∀ x37 . x37 ∈ int ⟶ x35 x36 x37 ∈ int) ⟶ ∀ x36 : ι → ι . (∀ x37 . x37 ∈ int ⟶ x36 x37 ∈ int) ⟶ ∀ x37 . x37 ∈ int ⟶ ∀ x38 . x38 ∈ int ⟶ ∀ x39 : ι → ι → ι → ι . (∀ x40 . x40 ∈ int ⟶ ∀ x41 . x41 ∈ int ⟶ ∀ x42 . x42 ∈ int ⟶ x39 x40 x41 x42 ∈ int) ⟶ ∀ x40 : ι → ι → ι → ι . (∀ x41 . x41 ∈ int ⟶ ∀ x42 . x42 ∈ int ⟶ ∀ x43 . x43 ∈ int ⟶ x40 x41 x42 x43 ∈ int) ⟶ ∀ x41 : ι → ι . (∀ x42 . x42 ∈ int ⟶ x41 x42 ∈ int) ⟶ ∀ x42 : ι → ι . (∀ x43 . x43 ∈ int ⟶ x42 x43 ∈ int) ⟶ ∀ x43 . x43 ∈ int ⟶ ∀ x44 : ι → ι → ι . (∀ x45 . x45 ∈ int ⟶ ∀ x46 . x46 ∈ int ⟶ x44 x45 x46 ∈ int) ⟶ ∀ x45 : ι → ι → ι . (∀ x46 . x46 ∈ int ⟶ ∀ x47 . x47 ∈ int ⟶ x45 x46 x47 ∈ int) ⟶ ∀ x46 : ι → ι → ι . (∀ x47 . x47 ∈ int ⟶ ∀ x48 . x48 ∈ int ⟶ x46 x47 x48 ∈ int) ⟶ ∀ x47 : ι → ι → ι . (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x47 x48 x49 ∈ int) ⟶ ∀ x48 : ι → ι . (∀ x49 . x49 ∈ int ⟶ x48 x49 ∈ int) ⟶ ∀ x49 . x49 ∈ int ⟶ ∀ x50 : ι → ι → ι . (∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x50 x51 x52 ∈ int) ⟶ ∀ x51 : ι → ι . (∀ x52 . x52 ∈ int ⟶ x51 x52 ∈ int) ⟶ ∀ x52 : ι → ι . (∀ x53 . x53 ∈ int ⟶ x52 x53 ∈ int) ⟶ (∀ x53 . x53 ∈ int ⟶ x0 x53 = add_SNo (add_SNo x53 x53) x53) ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x1 x53 x54 = add_SNo x54 x54) ⟶ x2 = 1 ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x3 x53 x54 = If_i (SNoLe x53 0) x54 (x0 (x3 (add_SNo x53 (minus_SNo 1)) x54))) ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x4 x53 x54 = x3 (x1 x53 x54) x2) ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x5 x53 x54 = add_SNo (x4 x53 x54) (mul_SNo 2 (add_SNo (mul_SNo 2 (add_SNo x53 x53)) x53))) ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x6 x53 x54 = x54) ⟶ x7 = 1 ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x8 x53 x54 = If_i (SNoLe x53 0) x54 (x5 (x8 (add_SNo x53 (minus_SNo 1)) x54) x53)) ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x9 x53 x54 = x8 (x6 x53 x54) x7) ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x10 x53 x54 = mul_SNo (add_SNo 2 x54) x53) ⟶ x11 = 2 ⟶ (∀ x53 . x53 ∈ int ⟶ x12 x53 = x53) ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x13 x53 x54 = If_i (SNoLe x53 0) x54 (x10 (x13 (add_SNo x53 (minus_SNo 1)) x54) x53)) ⟶ (∀ x53 . x53 ∈ int ⟶ x14 x53 = x13 x11 (x12 x53)) ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x15 x53 x54 = add_SNo (x9 x53 x54) (x14 x53)) ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x16 x53 x54 = x54) ⟶ x17 = 1 ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x18 x53 x54 = If_i (SNoLe x53 0) x54 (x15 (x18 (add_SNo x53 (minus_SNo 1)) x54) x53)) ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x19 x53 x54 = x18 (x16 x53 x54) x17) ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x20 x53 x54 = add_SNo (add_SNo (add_SNo (x19 x53 x54) x53) x53) x53) ⟶ (∀ x53 . x53 ∈ int ⟶ x21 x53 = x53) ⟶ x22 = 1 ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x23 x53 x54 = If_i (SNoLe x53 0) x54 (x20 (x23 (add_SNo x53 (minus_SNo 1)) x54) x53)) ⟶ (∀ x53 . x53 ∈ int ⟶ x24 x53 = x23 (x21 x53) x22) ⟶ (∀ x53 . x53 ∈ int ⟶ x25 x53 = x24 x53) ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x26 x53 x54 = add_SNo (mul_SNo 2 (add_SNo x53 x53)) x54) ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x27 x53 x54 = add_SNo 1 (add_SNo (add_SNo x54 x54) x54)) ⟶ (∀ x53 . x53 ∈ int ⟶ x28 x53 = x53) ⟶ x29 = 1 ⟶ x30 = add_SNo 2 2 ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ ∀ x55 . x55 ∈ int ⟶ x31 x53 x54 x55 = If_i (SNoLe x53 0) x54 (x26 (x31 (add_SNo x53 (minus_SNo 1)) x54 x55) (x32 (add_SNo x53 (minus_SNo 1)) x54 x55))) ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ ∀ x55 . x55 ∈ int ⟶ x32 x53 x54 x55 = If_i (SNoLe x53 0) x55 (x27 (x31 (add_SNo x53 (minus_SNo 1)) x54 x55) (x32 (add_SNo x53 (minus_SNo 1)) x54 x55))) ⟶ (∀ x53 . x53 ∈ int ⟶ x33 x53 = x31 (x28 x53) x29 x30) ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x34 x53 x54 = mul_SNo x53 x54) ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x35 x53 x54 = x54) ⟶ (∀ x53 . x53 ∈ int ⟶ x36 x53 = x53) ⟶ x37 = 1 ⟶ x38 = add_SNo 1 2 ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ ∀ x55 . x55 ∈ int ⟶ x39 x53 x54 x55 = If_i (SNoLe x53 0) x54 (x34 (x39 (add_SNo x53 (minus_SNo 1)) x54 x55) (x40 (add_SNo x53 (minus_SNo 1)) x54 x55))) ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ ∀ x55 . x55 ∈ int ⟶ x40 x53 x54 x55 = If_i (SNoLe x53 0) x55 (x35 (x39 (add_SNo x53 (minus_SNo 1)) x54 x55) (x40 (add_SNo x53 (minus_SNo 1)) x54 x55))) ⟶ (∀ x53 . x53 ∈ int ⟶ x41 x53 = x39 (x36 x53) x37 x38) ⟶ (∀ x53 . x53 ∈ int ⟶ x42 x53 = mul_SNo (x33 x53) (x41 x53)) ⟶ x43 = 1 ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x44 x53 x54 = x54) ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x45 x53 x54 = If_i (SNoLe x53 0) x54 (x42 (x45 (add_SNo x53 (minus_SNo 1)) x54))) ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x46 x53 x54 = x45 x43 (x44 x53 x54)) ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x47 x53 x54 = add_SNo (x46 x53 x54) (mul_SNo 2 (add_SNo (mul_SNo 2 (add_SNo x53 x53)) x53))) ⟶ (∀ x53 . x53 ∈ int ⟶ x48 x53 = x53) ⟶ x49 = 1 ⟶ (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x50 x53 x54 = If_i (SNoLe x53 0) x54 (x47 (x50 (add_SNo x53 (minus_SNo 1)) x54) x53)) ⟶ (∀ x53 . x53 ∈ int ⟶ x51 x53 = x50 (x48 x53) x49) ⟶ (∀ x53 . x53 ∈ int ⟶ x52 x53 = x51 x53) ⟶ ∀ x53 . x53 ∈ int ⟶ SNoLe 0 x53 ⟶ x25 x53 = x52 x53
Conjecture d24e4..A28081 : ∀ 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 . (∀ 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 . (∀ x32 . x32 ∈ int ⟶ x31 x32 ∈ 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 . x35 ∈ 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 : 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 . x41 ∈ int ⟶ ∀ x42 : ι → ι → ι . (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x42 x43 x44 ∈ int) ⟶ ∀ x43 : ι → ι → ι . (∀ x44 . x44 ∈ int ⟶ ∀ x45 . x45 ∈ int ⟶ x43 x44 x45 ∈ int) ⟶ ∀ x44 : ι → ι → ι . (∀ x45 . x45 ∈ int ⟶ ∀ x46 . x46 ∈ int ⟶ x44 x45 x46 ∈ int) ⟶ ∀ x45 : ι → ι . (∀ 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 . x51 ∈ int ⟶ x0 x50 x51 = add_SNo (mul_SNo 2 (add_SNo (add_SNo x50 x50) x50)) (mul_SNo (mul_SNo x51 x51) x51)) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x1 x50 x51 = add_SNo x51 x51) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x2 x50 x51 = x51) ⟶ x3 = 1 ⟶ x4 = 2 ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x5 x50 x51 x52 = If_i (SNoLe x50 0) x51 (x0 (x5 (add_SNo x50 (minus_SNo 1)) x51 x52) (x6 (add_SNo x50 (minus_SNo 1)) x51 x52))) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x6 x50 x51 x52 = If_i (SNoLe x50 0) x52 (x1 (x5 (add_SNo x50 (minus_SNo 1)) x51 x52) (x6 (add_SNo x50 (minus_SNo 1)) x51 x52))) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x7 x50 x51 = x5 (x2 x50 x51) x3 x4) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x8 x50 x51 = mul_SNo (add_SNo 2 x51) x50) ⟶ x9 = 2 ⟶ (∀ x50 . x50 ∈ int ⟶ x10 x50 = x50) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x11 x50 x51 = If_i (SNoLe x50 0) x51 (x8 (x11 (add_SNo x50 (minus_SNo 1)) x51) x50)) ⟶ (∀ x50 . x50 ∈ int ⟶ x12 x50 = x11 x9 (x10 x50)) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x13 x50 x51 = add_SNo (add_SNo (x7 x50 x51) (minus_SNo x50)) (x12 x50)) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x14 x50 x51 = x51) ⟶ x15 = 1 ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x16 x50 x51 = If_i (SNoLe x50 0) x51 (x13 (x16 (add_SNo x50 (minus_SNo 1)) x51) x50)) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x17 x50 x51 = x16 (x14 x50 x51) x15) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x18 x50 x51 = add_SNo (add_SNo (add_SNo (x17 x50 x51) x50) x50) x50) ⟶ (∀ x50 . x50 ∈ int ⟶ x19 x50 = x50) ⟶ x20 = 1 ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x21 x50 x51 = If_i (SNoLe x50 0) x51 (x18 (x21 (add_SNo x50 (minus_SNo 1)) x51) x50)) ⟶ (∀ x50 . x50 ∈ int ⟶ x22 x50 = x21 (x19 x50) x20) ⟶ (∀ x50 . x50 ∈ int ⟶ x23 x50 = x22 x50) ⟶ (∀ x50 . x50 ∈ int ⟶ x24 x50 = add_SNo (add_SNo x50 x50) x50) ⟶ (∀ x50 . x50 ∈ int ⟶ x25 x50 = x50) ⟶ (∀ x50 . x50 ∈ int ⟶ x26 x50 = add_SNo x50 x50) ⟶ (∀ x50 . x50 ∈ int ⟶ x27 x50 = x50) ⟶ x28 = 2 ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x29 x50 x51 = If_i (SNoLe x50 0) x51 (x26 (x29 (add_SNo x50 (minus_SNo 1)) x51))) ⟶ (∀ x50 . x50 ∈ int ⟶ x30 x50 = x29 (x27 x50) x28) ⟶ (∀ x50 . x50 ∈ int ⟶ x31 x50 = add_SNo (x30 x50) (minus_SNo 1)) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x32 x50 x51 = If_i (SNoLe x50 0) x51 (x24 (x32 (add_SNo x50 (minus_SNo 1)) x51))) ⟶ (∀ x50 . x50 ∈ int ⟶ x33 x50 = x32 (x25 x50) (x31 x50)) ⟶ (∀ x50 . x50 ∈ int ⟶ x34 x50 = x33 x50) ⟶ x35 = 1 ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x36 x50 x51 = x51) ⟶ (∀ 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 ⟶ ∀ x51 . x51 ∈ int ⟶ x38 x50 x51 = x37 x35 (x36 x50 x51)) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x39 x50 x51 = add_SNo (x38 x50 x51) (mul_SNo 2 (mul_SNo 2 (add_SNo x50 x50)))) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x40 x50 x51 = x51) ⟶ x41 = 1 ⟶ (∀ 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 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x43 x50 x51 = x42 (x40 x50 x51) x41) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x44 x50 x51 = add_SNo (add_SNo (x43 x50 x51) (mul_SNo 2 (add_SNo (mul_SNo 2 (add_SNo x50 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 ⟶ x23 x50 = x49 x50
Conjecture 2f7d4..A28080 : ∀ 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)) (mul_SNo (mul_SNo x46 x46) 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 (x7 x45 x46) (mul_SNo 2 (add_SNo (mul_SNo 2 (add_SNo 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 (x33 x45 x46) (mul_SNo 2 (mul_SNo 2 (add_SNo 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 (x38 x45 x46) (mul_SNo 2 (add_SNo (mul_SNo 2 (add_SNo 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 85ab0..A28071 : ∀ x0 : ι → ι . (∀ x1 . x1 ∈ int ⟶ x0 x1 ∈ int) ⟶ ∀ x1 : ι → ι . (∀ x2 . x2 ∈ int ⟶ x1 x2 ∈ int) ⟶ ∀ x2 : ι → ι . (∀ x3 . x3 ∈ int ⟶ x2 x3 ∈ int) ⟶ ∀ x3 : ι → ι . (∀ x4 . x4 ∈ int ⟶ x3 x4 ∈ int) ⟶ ∀ x4 . x4 ∈ int ⟶ ∀ x5 : ι → ι → ι . (∀ x6 . x6 ∈ int ⟶ ∀ x7 . x7 ∈ int ⟶ x5 x6 x7 ∈ int) ⟶ ∀ x6 : ι → ι . (∀ x7 . x7 ∈ int ⟶ x6 x7 ∈ int) ⟶ ∀ x7 : ι → ι . (∀ x8 . x8 ∈ int ⟶ x7 x8 ∈ int) ⟶ ∀ x8 : ι → ι → ι . (∀ x9 . x9 ∈ int ⟶ ∀ x10 . x10 ∈ int ⟶ x8 x9 x10 ∈ int) ⟶ ∀ x9 : ι → ι . (∀ x10 . x10 ∈ int ⟶ x9 x10 ∈ int) ⟶ ∀ x10 : ι → ι . (∀ x11 . x11 ∈ int ⟶ x10 x11 ∈ int) ⟶ ∀ x11 . x11 ∈ int ⟶ ∀ x12 : ι → ι → ι . (∀ x13 . x13 ∈ int ⟶ ∀ x14 . x14 ∈ int ⟶ x12 x13 x14 ∈ int) ⟶ ∀ x13 : ι → ι → ι . (∀ x14 . x14 ∈ int ⟶ ∀ x15 . x15 ∈ int ⟶ x13 x14 x15 ∈ int) ⟶ ∀ x14 : ι → ι → ι . (∀ x15 . x15 ∈ int ⟶ ∀ x16 . x16 ∈ int ⟶ x14 x15 x16 ∈ int) ⟶ ∀ x15 : ι → ι → ι . (∀ x16 . x16 ∈ int ⟶ ∀ x17 . x17 ∈ int ⟶ x15 x16 x17 ∈ int) ⟶ ∀ x16 . x16 ∈ int ⟶ ∀ x17 : ι → ι . (∀ x18 . x18 ∈ int ⟶ x17 x18 ∈ int) ⟶ ∀ x18 : ι → ι → ι . (∀ x19 . x19 ∈ int ⟶ ∀ x20 . x20 ∈ int ⟶ x18 x19 x20 ∈ int) ⟶ ∀ x19 : ι → ι . (∀ x20 . x20 ∈ int ⟶ x19 x20 ∈ int) ⟶ ∀ x20 : ι → ι → ι . (∀ x21 . x21 ∈ int ⟶ ∀ x22 . x22 ∈ int ⟶ x20 x21 x22 ∈ int) ⟶ ∀ x21 : ι → ι → ι . (∀ x22 . x22 ∈ int ⟶ ∀ x23 . x23 ∈ int ⟶ x21 x22 x23 ∈ int) ⟶ ∀ x22 . x22 ∈ int ⟶ ∀ x23 : ι → ι → ι . (∀ x24 . x24 ∈ int ⟶ ∀ x25 . x25 ∈ int ⟶ x23 x24 x25 ∈ int) ⟶ ∀ x24 : ι → ι → ι . (∀ x25 . x25 ∈ int ⟶ ∀ x26 . x26 ∈ int ⟶ x24 x25 x26 ∈ int) ⟶ ∀ x25 : ι → ι → ι . (∀ x26 . x26 ∈ int ⟶ ∀ x27 . x27 ∈ int ⟶ x25 x26 x27 ∈ int) ⟶ ∀ x26 : ι → ι . (∀ x27 . x27 ∈ int ⟶ x26 x27 ∈ int) ⟶ ∀ x27 . x27 ∈ int ⟶ ∀ x28 : ι → ι → ι . (∀ x29 . x29 ∈ int ⟶ ∀ x30 . x30 ∈ int ⟶ x28 x29 x30 ∈ int) ⟶ ∀ x29 : ι → ι . (∀ x30 . x30 ∈ int ⟶ x29 x30 ∈ int) ⟶ ∀ x30 : ι → ι . (∀ x31 . x31 ∈ int ⟶ x30 x31 ∈ int) ⟶ ∀ x31 : ι → ι . (∀ x32 . x32 ∈ int ⟶ x31 x32 ∈ int) ⟶ ∀ x32 : ι → ι . (∀ x33 . x33 ∈ int ⟶ x32 x33 ∈ int) ⟶ ∀ x33 . x33 ∈ int ⟶ ∀ x34 : ι → ι → ι . (∀ x35 . x35 ∈ int ⟶ ∀ x36 . x36 ∈ int ⟶ x34 x35 x36 ∈ int) ⟶ ∀ x35 : ι → ι . (∀ x36 . x36 ∈ int ⟶ x35 x36 ∈ int) ⟶ ∀ x36 : ι → ι → ι . (∀ x37 . x37 ∈ int ⟶ ∀ x38 . x38 ∈ int ⟶ x36 x37 x38 ∈ int) ⟶ ∀ x37 : ι → ι → ι . (∀ x38 . x38 ∈ int ⟶ ∀ x39 . x39 ∈ int ⟶ x37 x38 x39 ∈ int) ⟶ ∀ x38 : ι → ι . (∀ x39 . x39 ∈ int ⟶ x38 x39 ∈ int) ⟶ ∀ x39 . x39 ∈ int ⟶ ∀ x40 . x40 ∈ int ⟶ ∀ x41 : ι → ι → ι → ι . (∀ x42 . x42 ∈ int ⟶ ∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x41 x42 x43 x44 ∈ int) ⟶ ∀ x42 : ι → ι → ι → ι . (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ ∀ x45 . x45 ∈ int ⟶ x42 x43 x44 x45 ∈ int) ⟶ ∀ x43 : ι → ι . (∀ x44 . x44 ∈ int ⟶ x43 x44 ∈ int) ⟶ ∀ x44 : ι → ι . (∀ x45 . x45 ∈ int ⟶ x44 x45 ∈ int) ⟶ ∀ x45 . x45 ∈ int ⟶ ∀ x46 : ι → ι → ι . (∀ x47 . x47 ∈ int ⟶ ∀ x48 . x48 ∈ int ⟶ x46 x47 x48 ∈ int) ⟶ ∀ x47 : ι → ι → ι . (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x47 x48 x49 ∈ int) ⟶ ∀ x48 : ι → ι → ι . (∀ x49 . x49 ∈ int ⟶ ∀ x50 . x50 ∈ int ⟶ x48 x49 x50 ∈ int) ⟶ ∀ x49 : ι → ι → ι . (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x49 x50 x51 ∈ int) ⟶ ∀ x50 : ι → ι . (∀ x51 . x51 ∈ int ⟶ x50 x51 ∈ int) ⟶ ∀ x51 . x51 ∈ int ⟶ ∀ x52 : ι → ι → ι . (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x52 x53 x54 ∈ int) ⟶ ∀ x53 : ι → ι . (∀ x54 . x54 ∈ int ⟶ x53 x54 ∈ int) ⟶ ∀ x54 : ι → ι . (∀ x55 . x55 ∈ int ⟶ x54 x55 ∈ int) ⟶ ∀ x55 . x55 ∈ int ⟶ ∀ x56 : ι → ι → ι . (∀ x57 . x57 ∈ int ⟶ ∀ x58 . x58 ∈ int ⟶ x56 x57 x58 ∈ int) ⟶ ∀ x57 : ι → ι → ι . (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x57 x58 x59 ∈ int) ⟶ ∀ x58 : ι → ι → ι . (∀ x59 . x59 ∈ int ⟶ ∀ x60 . x60 ∈ int ⟶ x58 x59 x60 ∈ int) ⟶ ∀ x59 : ι → ι → ι . (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x59 x60 x61 ∈ int) ⟶ ∀ x60 : ι → ι . (∀ x61 . x61 ∈ int ⟶ x60 x61 ∈ int) ⟶ ∀ x61 . x61 ∈ int ⟶ ∀ x62 : ι → ι → ι . (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x62 x63 x64 ∈ int) ⟶ ∀ x63 : ι → ι . (∀ x64 . x64 ∈ int ⟶ x63 x64 ∈ int) ⟶ ∀ x64 : ι → ι . (∀ x65 . x65 ∈ int ⟶ x64 x65 ∈ int) ⟶ (∀ x65 . x65 ∈ int ⟶ x0 x65 = add_SNo (mul_SNo 2 (add_SNo x65 x65)) x65) ⟶ (∀ x65 . x65 ∈ int ⟶ x1 x65 = x65) ⟶ (∀ x65 . x65 ∈ int ⟶ x2 x65 = add_SNo x65 x65) ⟶ (∀ x65 . x65 ∈ int ⟶ x3 x65 = x65) ⟶ x4 = 2 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x5 x65 x66 = If_i (SNoLe x65 0) x66 (x2 (x5 (add_SNo x65 (minus_SNo 1)) x66))) ⟶ (∀ x65 . x65 ∈ int ⟶ x6 x65 = x5 (x3 x65) x4) ⟶ (∀ x65 . x65 ∈ int ⟶ x7 x65 = add_SNo (x6 x65) (minus_SNo 1)) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x8 x65 x66 = If_i (SNoLe x65 0) x66 (x0 (x8 (add_SNo x65 (minus_SNo 1)) x66))) ⟶ (∀ x65 . x65 ∈ int ⟶ x9 x65 = x8 (x1 x65) (x7 x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ x10 x65 = x9 x65) ⟶ x11 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x12 x65 x66 = x66) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x13 x65 x66 = If_i (SNoLe x65 0) x66 (x10 (x13 (add_SNo x65 (minus_SNo 1)) x66))) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x14 x65 x66 = x13 x11 (x12 x65 x66)) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x15 x65 x66 = mul_SNo (add_SNo 2 x66) x65) ⟶ x16 = 2 ⟶ (∀ x65 . x65 ∈ int ⟶ x17 x65 = x65) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x18 x65 x66 = If_i (SNoLe x65 0) x66 (x15 (x18 (add_SNo x65 (minus_SNo 1)) x66) x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ x19 x65 = x18 x16 (x17 x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x20 x65 x66 = add_SNo (x14 x65 x66) (add_SNo (x19 x65) (minus_SNo x65))) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x21 x65 x66 = x66) ⟶ x22 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x23 x65 x66 = If_i (SNoLe x65 0) x66 (x20 (x23 (add_SNo x65 (minus_SNo 1)) x66) x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x24 x65 x66 = x23 (x21 x65 x66) x22) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x25 x65 x66 = add_SNo (add_SNo (add_SNo (x24 x65 x66) x65) x65) x65) ⟶ (∀ x65 . x65 ∈ int ⟶ x26 x65 = x65) ⟶ x27 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x28 x65 x66 = If_i (SNoLe x65 0) x66 (x25 (x28 (add_SNo x65 (minus_SNo 1)) x66) x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ x29 x65 = x28 (x26 x65) x27) ⟶ (∀ x65 . x65 ∈ int ⟶ x30 x65 = x29 x65) ⟶ (∀ x65 . x65 ∈ int ⟶ x31 x65 = add_SNo x65 x65) ⟶ (∀ x65 . x65 ∈ int ⟶ x32 x65 = x65) ⟶ x33 = 2 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x34 x65 x66 = If_i (SNoLe x65 0) x66 (x31 (x34 (add_SNo x65 (minus_SNo 1)) x66))) ⟶ (∀ x65 . x65 ∈ int ⟶ x35 x65 = x34 (x32 x65) x33) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x36 x65 x66 = mul_SNo x65 x66) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x37 x65 x66 = x66) ⟶ (∀ x65 . x65 ∈ int ⟶ x38 x65 = x65) ⟶ x39 = 1 ⟶ x40 = add_SNo 1 (add_SNo 2 2) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ ∀ x67 . x67 ∈ int ⟶ x41 x65 x66 x67 = If_i (SNoLe x65 0) x66 (x36 (x41 (add_SNo x65 (minus_SNo 1)) x66 x67) (x42 (add_SNo x65 (minus_SNo 1)) x66 x67))) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ ∀ x67 . x67 ∈ int ⟶ x42 x65 x66 x67 = If_i (SNoLe x65 0) x67 (x37 (x41 (add_SNo x65 (minus_SNo 1)) x66 x67) (x42 (add_SNo x65 (minus_SNo 1)) x66 x67))) ⟶ (∀ x65 . x65 ∈ int ⟶ x43 x65 = x41 (x38 x65) x39 x40) ⟶ (∀ x65 . x65 ∈ int ⟶ x44 x65 = mul_SNo (add_SNo (x35 x65) (minus_SNo 1)) (x43 x65)) ⟶ x45 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x46 x65 x66 = x66) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x47 x65 x66 = If_i (SNoLe x65 0) x66 (x44 (x47 (add_SNo x65 (minus_SNo 1)) x66))) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x48 x65 x66 = x47 x45 (x46 x65 x66)) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x49 x65 x66 = add_SNo (add_SNo (add_SNo (x48 x65 x66) x65) x65) x65) ⟶ (∀ x65 . x65 ∈ int ⟶ x50 x65 = x65) ⟶ x51 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x52 x65 x66 = If_i (SNoLe x65 0) x66 (x49 (x52 (add_SNo x65 (minus_SNo 1)) x66) x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ x53 x65 = x52 (x50 x65) x51) ⟶ (∀ x65 . x65 ∈ int ⟶ x54 x65 = x53 x65) ⟶ x55 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x56 x65 x66 = x66) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x57 x65 x66 = If_i (SNoLe x65 0) x66 (x54 (x57 (add_SNo x65 (minus_SNo 1)) x66))) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x58 x65 x66 = x57 x55 (x56 x65 x66)) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x59 x65 x66 = add_SNo (add_SNo (x58 x65 x66) (mul_SNo (add_SNo (mul_SNo (add_SNo x65 x65) 2) x65) 2)) x65) ⟶ (∀ x65 . x65 ∈ int ⟶ x60 x65 = x65) ⟶ x61 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x62 x65 x66 = If_i (SNoLe x65 0) x66 (x59 (x62 (add_SNo x65 (minus_SNo 1)) x66) x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ x63 x65 = x62 (x60 x65) x61) ⟶ (∀ x65 . x65 ∈ int ⟶ x64 x65 = x63 x65) ⟶ ∀ x65 . x65 ∈ int ⟶ SNoLe 0 x65 ⟶ x30 x65 = x64 x65
Conjecture 82f5f..A28065 : ∀ 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 (x14 x60 x61) (mul_SNo 2 (mul_SNo 2 (add_SNo 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 (add_SNo (x19 x60 x61) x60) x60) x60) ⟶ (∀ x60 . x60 ∈ int ⟶ x21 x60 = x60) ⟶ x22 = 1 ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x23 x60 x61 = If_i (SNoLe x60 0) x61 (x20 (x23 (add_SNo x60 (minus_SNo 1)) x61) x60)) ⟶ (∀ x60 . x60 ∈ int ⟶ x24 x60 = x23 (x21 x60) x22) ⟶ (∀ x60 . x60 ∈ int ⟶ x25 x60 = x24 x60) ⟶ (∀ x60 . x60 ∈ int ⟶ x26 x60 = add_SNo x60 x60) ⟶ (∀ x60 . x60 ∈ int ⟶ x27 x60 = x60) ⟶ x28 = 2 ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x29 x60 x61 = If_i (SNoLe x60 0) x61 (x26 (x29 (add_SNo x60 (minus_SNo 1)) x61))) ⟶ (∀ x60 . x60 ∈ int ⟶ x30 x60 = x29 (x27 x60) x28) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x31 x60 x61 = mul_SNo x60 x61) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x32 x60 x61 = x61) ⟶ (∀ x60 . x60 ∈ int ⟶ x33 x60 = x60) ⟶ x34 = 1 ⟶ x35 = add_SNo 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 (add_SNo (x43 x60 x61) 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 (x53 x60 x61) (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 176d0..A28061 : ∀ 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 (add_SNo (x19 x60 x61) x60) x60) x60) ⟶ (∀ x60 . x60 ∈ int ⟶ x21 x60 = x60) ⟶ x22 = 1 ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x23 x60 x61 = If_i (SNoLe x60 0) x61 (x20 (x23 (add_SNo x60 (minus_SNo 1)) x61) x60)) ⟶ (∀ x60 . x60 ∈ int ⟶ x24 x60 = x23 (x21 x60) x22) ⟶ (∀ x60 . x60 ∈ int ⟶ x25 x60 = x24 x60) ⟶ (∀ x60 . x60 ∈ int ⟶ x26 x60 = add_SNo x60 x60) ⟶ (∀ x60 . x60 ∈ int ⟶ x27 x60 = x60) ⟶ x28 = 2 ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x29 x60 x61 = If_i (SNoLe x60 0) x61 (x26 (x29 (add_SNo x60 (minus_SNo 1)) x61))) ⟶ (∀ x60 . x60 ∈ int ⟶ x30 x60 = x29 (x27 x60) x28) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x31 x60 x61 = mul_SNo x60 x61) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x32 x60 x61 = x61) ⟶ (∀ x60 . x60 ∈ int ⟶ x33 x60 = x60) ⟶ x34 = 1 ⟶ x35 = add_SNo 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 (add_SNo (x43 x60 x61) x60) x60) x60) ⟶ (∀ x60 . x60 ∈ int ⟶ x45 x60 = x60) ⟶ x46 = 1 ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x47 x60 x61 = If_i (SNoLe x60 0) x61 (x44 (x47 (add_SNo x60 (minus_SNo 1)) x61) x60)) ⟶ (∀ x60 . x60 ∈ int ⟶ x48 x60 = x47 (x45 x60) x46) ⟶ (∀ x60 . x60 ∈ int ⟶ x49 x60 = x48 x60) ⟶ x50 = 1 ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x51 x60 x61 = x61) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x52 x60 x61 = If_i (SNoLe x60 0) x61 (x49 (x52 (add_SNo x60 (minus_SNo 1)) x61))) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x53 x60 x61 = x52 x50 (x51 x60 x61)) ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x54 x60 x61 = add_SNo (add_SNo (x53 x60 x61) x60) (mul_SNo (add_SNo (add_SNo x60 x60) x60) 2)) ⟶ (∀ x60 . x60 ∈ int ⟶ x55 x60 = x60) ⟶ x56 = 1 ⟶ (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x57 x60 x61 = If_i (SNoLe x60 0) x61 (x54 (x57 (add_SNo x60 (minus_SNo 1)) x61) x60)) ⟶ (∀ x60 . x60 ∈ int ⟶ x58 x60 = x57 (x55 x60) x56) ⟶ (∀ x60 . x60 ∈ int ⟶ x59 x60 = x58 x60) ⟶ ∀ x60 . x60 ∈ int ⟶ SNoLe 0 x60 ⟶ x25 x60 = x59 x60
Conjecture ceaa8..A28057 : ∀ x0 : ι → ι . (∀ x1 . x1 ∈ int ⟶ x0 x1 ∈ int) ⟶ ∀ x1 : ι → ι . (∀ x2 . x2 ∈ int ⟶ x1 x2 ∈ int) ⟶ ∀ x2 : ι → ι . (∀ x3 . x3 ∈ int ⟶ x2 x3 ∈ int) ⟶ ∀ x3 : ι → ι . (∀ x4 . x4 ∈ int ⟶ x3 x4 ∈ int) ⟶ ∀ x4 . x4 ∈ int ⟶ ∀ x5 : ι → ι → ι . (∀ x6 . x6 ∈ int ⟶ ∀ x7 . x7 ∈ int ⟶ x5 x6 x7 ∈ int) ⟶ ∀ x6 : ι → ι . (∀ x7 . x7 ∈ int ⟶ x6 x7 ∈ int) ⟶ ∀ x7 : ι → ι . (∀ x8 . x8 ∈ int ⟶ x7 x8 ∈ int) ⟶ ∀ x8 : ι → ι → ι . (∀ x9 . x9 ∈ int ⟶ ∀ x10 . x10 ∈ int ⟶ x8 x9 x10 ∈ int) ⟶ ∀ x9 : ι → ι . (∀ x10 . x10 ∈ int ⟶ x9 x10 ∈ int) ⟶ ∀ x10 : ι → ι . (∀ x11 . x11 ∈ int ⟶ x10 x11 ∈ int) ⟶ ∀ x11 . x11 ∈ int ⟶ ∀ x12 : ι → ι → ι . (∀ x13 . x13 ∈ int ⟶ ∀ x14 . x14 ∈ int ⟶ x12 x13 x14 ∈ int) ⟶ ∀ x13 : ι → ι → ι . (∀ x14 . x14 ∈ int ⟶ ∀ x15 . x15 ∈ int ⟶ x13 x14 x15 ∈ int) ⟶ ∀ x14 : ι → ι → ι . (∀ x15 . x15 ∈ int ⟶ ∀ x16 . x16 ∈ int ⟶ x14 x15 x16 ∈ int) ⟶ ∀ x15 : ι → ι → ι . (∀ x16 . x16 ∈ int ⟶ ∀ x17 . x17 ∈ int ⟶ x15 x16 x17 ∈ int) ⟶ ∀ x16 . x16 ∈ int ⟶ ∀ x17 : ι → ι . (∀ x18 . x18 ∈ int ⟶ x17 x18 ∈ int) ⟶ ∀ x18 : ι → ι → ι . (∀ x19 . x19 ∈ int ⟶ ∀ x20 . x20 ∈ int ⟶ x18 x19 x20 ∈ int) ⟶ ∀ x19 : ι → ι . (∀ x20 . x20 ∈ int ⟶ x19 x20 ∈ int) ⟶ ∀ x20 : ι → ι → ι . (∀ x21 . x21 ∈ int ⟶ ∀ x22 . x22 ∈ int ⟶ x20 x21 x22 ∈ int) ⟶ ∀ x21 : ι → ι → ι . (∀ x22 . x22 ∈ int ⟶ ∀ x23 . x23 ∈ int ⟶ x21 x22 x23 ∈ int) ⟶ ∀ x22 . x22 ∈ int ⟶ ∀ x23 : ι → ι → ι . (∀ x24 . x24 ∈ int ⟶ ∀ x25 . x25 ∈ int ⟶ x23 x24 x25 ∈ int) ⟶ ∀ x24 : ι → ι → ι . (∀ x25 . x25 ∈ int ⟶ ∀ x26 . x26 ∈ int ⟶ x24 x25 x26 ∈ int) ⟶ ∀ x25 : ι → ι → ι . (∀ x26 . x26 ∈ int ⟶ ∀ x27 . x27 ∈ int ⟶ x25 x26 x27 ∈ int) ⟶ ∀ x26 : ι → ι . (∀ x27 . x27 ∈ int ⟶ x26 x27 ∈ int) ⟶ ∀ x27 . x27 ∈ int ⟶ ∀ x28 : ι → ι → ι . (∀ x29 . x29 ∈ int ⟶ ∀ x30 . x30 ∈ int ⟶ x28 x29 x30 ∈ int) ⟶ ∀ x29 : ι → ι . (∀ x30 . x30 ∈ int ⟶ x29 x30 ∈ int) ⟶ ∀ x30 : ι → ι . (∀ x31 . x31 ∈ int ⟶ x30 x31 ∈ int) ⟶ ∀ x31 : ι → ι . (∀ x32 . x32 ∈ int ⟶ x31 x32 ∈ int) ⟶ ∀ x32 : ι → ι . (∀ x33 . x33 ∈ int ⟶ x32 x33 ∈ int) ⟶ ∀ x33 . x33 ∈ int ⟶ ∀ x34 : ι → ι → ι . (∀ x35 . x35 ∈ int ⟶ ∀ x36 . x36 ∈ int ⟶ x34 x35 x36 ∈ int) ⟶ ∀ x35 : ι → ι . (∀ x36 . x36 ∈ int ⟶ x35 x36 ∈ int) ⟶ ∀ x36 : ι → ι → ι . (∀ x37 . x37 ∈ int ⟶ ∀ x38 . x38 ∈ int ⟶ x36 x37 x38 ∈ int) ⟶ ∀ x37 : ι → ι → ι . (∀ x38 . x38 ∈ int ⟶ ∀ x39 . x39 ∈ int ⟶ x37 x38 x39 ∈ int) ⟶ ∀ x38 : ι → ι . (∀ x39 . x39 ∈ int ⟶ x38 x39 ∈ int) ⟶ ∀ x39 . x39 ∈ int ⟶ ∀ x40 . x40 ∈ int ⟶ ∀ x41 : ι → ι → ι → ι . (∀ x42 . x42 ∈ int ⟶ ∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x41 x42 x43 x44 ∈ int) ⟶ ∀ x42 : ι → ι → ι → ι . (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ ∀ x45 . x45 ∈ int ⟶ x42 x43 x44 x45 ∈ int) ⟶ ∀ x43 : ι → ι . (∀ x44 . x44 ∈ int ⟶ x43 x44 ∈ int) ⟶ ∀ x44 : ι → ι . (∀ x45 . x45 ∈ int ⟶ x44 x45 ∈ int) ⟶ ∀ x45 . x45 ∈ int ⟶ ∀ x46 : ι → ι → ι . (∀ x47 . x47 ∈ int ⟶ ∀ x48 . x48 ∈ int ⟶ x46 x47 x48 ∈ int) ⟶ ∀ x47 : ι → ι → ι . (∀ x48 . x48 ∈ int ⟶ ∀ x49 . x49 ∈ int ⟶ x47 x48 x49 ∈ int) ⟶ ∀ x48 : ι → ι → ι . (∀ x49 . x49 ∈ int ⟶ ∀ x50 . x50 ∈ int ⟶ x48 x49 x50 ∈ int) ⟶ ∀ x49 : ι → ι → ι . (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x49 x50 x51 ∈ int) ⟶ ∀ x50 : ι → ι . (∀ x51 . x51 ∈ int ⟶ x50 x51 ∈ int) ⟶ ∀ x51 . x51 ∈ int ⟶ ∀ x52 : ι → ι → ι . (∀ x53 . x53 ∈ int ⟶ ∀ x54 . x54 ∈ int ⟶ x52 x53 x54 ∈ int) ⟶ ∀ x53 : ι → ι . (∀ x54 . x54 ∈ int ⟶ x53 x54 ∈ int) ⟶ ∀ x54 : ι → ι . (∀ x55 . x55 ∈ int ⟶ x54 x55 ∈ int) ⟶ ∀ x55 . x55 ∈ int ⟶ ∀ x56 : ι → ι → ι . (∀ x57 . x57 ∈ int ⟶ ∀ x58 . x58 ∈ int ⟶ x56 x57 x58 ∈ int) ⟶ ∀ x57 : ι → ι → ι . (∀ x58 . x58 ∈ int ⟶ ∀ x59 . x59 ∈ int ⟶ x57 x58 x59 ∈ int) ⟶ ∀ x58 : ι → ι → ι . (∀ x59 . x59 ∈ int ⟶ ∀ x60 . x60 ∈ int ⟶ x58 x59 x60 ∈ int) ⟶ ∀ x59 : ι → ι → ι . (∀ x60 . x60 ∈ int ⟶ ∀ x61 . x61 ∈ int ⟶ x59 x60 x61 ∈ int) ⟶ ∀ x60 : ι → ι . (∀ x61 . x61 ∈ int ⟶ x60 x61 ∈ int) ⟶ ∀ x61 . x61 ∈ int ⟶ ∀ x62 : ι → ι → ι . (∀ x63 . x63 ∈ int ⟶ ∀ x64 . x64 ∈ int ⟶ x62 x63 x64 ∈ int) ⟶ ∀ x63 : ι → ι . (∀ x64 . x64 ∈ int ⟶ x63 x64 ∈ int) ⟶ ∀ x64 : ι → ι . (∀ x65 . x65 ∈ int ⟶ x64 x65 ∈ int) ⟶ (∀ x65 . x65 ∈ int ⟶ x0 x65 = add_SNo (add_SNo x65 x65) x65) ⟶ (∀ x65 . x65 ∈ int ⟶ x1 x65 = x65) ⟶ (∀ x65 . x65 ∈ int ⟶ x2 x65 = add_SNo x65 x65) ⟶ (∀ x65 . x65 ∈ int ⟶ x3 x65 = x65) ⟶ x4 = 2 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x5 x65 x66 = If_i (SNoLe x65 0) x66 (x2 (x5 (add_SNo x65 (minus_SNo 1)) x66))) ⟶ (∀ x65 . x65 ∈ int ⟶ x6 x65 = x5 (x3 x65) x4) ⟶ (∀ x65 . x65 ∈ int ⟶ x7 x65 = add_SNo (x6 x65) (minus_SNo 1)) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x8 x65 x66 = If_i (SNoLe x65 0) x66 (x0 (x8 (add_SNo x65 (minus_SNo 1)) x66))) ⟶ (∀ x65 . x65 ∈ int ⟶ x9 x65 = x8 (x1 x65) (x7 x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ x10 x65 = x9 x65) ⟶ x11 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x12 x65 x66 = x66) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x13 x65 x66 = If_i (SNoLe x65 0) x66 (x10 (x13 (add_SNo x65 (minus_SNo 1)) x66))) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x14 x65 x66 = x13 x11 (x12 x65 x66)) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x15 x65 x66 = mul_SNo (add_SNo 2 x66) x65) ⟶ x16 = 2 ⟶ (∀ x65 . x65 ∈ int ⟶ x17 x65 = x65) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x18 x65 x66 = If_i (SNoLe x65 0) x66 (x15 (x18 (add_SNo x65 (minus_SNo 1)) x66) x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ x19 x65 = x18 x16 (x17 x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x20 x65 x66 = add_SNo (x14 x65 x66) (add_SNo (x19 x65) (minus_SNo x65))) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x21 x65 x66 = x66) ⟶ x22 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x23 x65 x66 = If_i (SNoLe x65 0) x66 (x20 (x23 (add_SNo x65 (minus_SNo 1)) x66) x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x24 x65 x66 = x23 (x21 x65 x66) x22) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x25 x65 x66 = add_SNo (add_SNo (x24 x65 x66) (mul_SNo 2 (add_SNo x65 x65))) x65) ⟶ (∀ x65 . x65 ∈ int ⟶ x26 x65 = x65) ⟶ x27 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x28 x65 x66 = If_i (SNoLe x65 0) x66 (x25 (x28 (add_SNo x65 (minus_SNo 1)) x66) x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ x29 x65 = x28 (x26 x65) x27) ⟶ (∀ x65 . x65 ∈ int ⟶ x30 x65 = x29 x65) ⟶ (∀ x65 . x65 ∈ int ⟶ x31 x65 = add_SNo x65 x65) ⟶ (∀ x65 . x65 ∈ int ⟶ x32 x65 = x65) ⟶ x33 = 2 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x34 x65 x66 = If_i (SNoLe x65 0) x66 (x31 (x34 (add_SNo x65 (minus_SNo 1)) x66))) ⟶ (∀ x65 . x65 ∈ int ⟶ x35 x65 = x34 (x32 x65) x33) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x36 x65 x66 = mul_SNo x65 x66) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x37 x65 x66 = x66) ⟶ (∀ x65 . x65 ∈ int ⟶ x38 x65 = x65) ⟶ x39 = 1 ⟶ x40 = add_SNo 1 2 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ ∀ x67 . x67 ∈ int ⟶ x41 x65 x66 x67 = If_i (SNoLe x65 0) x66 (x36 (x41 (add_SNo x65 (minus_SNo 1)) x66 x67) (x42 (add_SNo x65 (minus_SNo 1)) x66 x67))) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ ∀ x67 . x67 ∈ int ⟶ x42 x65 x66 x67 = If_i (SNoLe x65 0) x67 (x37 (x41 (add_SNo x65 (minus_SNo 1)) x66 x67) (x42 (add_SNo x65 (minus_SNo 1)) x66 x67))) ⟶ (∀ x65 . x65 ∈ int ⟶ x43 x65 = x41 (x38 x65) x39 x40) ⟶ (∀ x65 . x65 ∈ int ⟶ x44 x65 = mul_SNo (add_SNo (x35 x65) (minus_SNo 1)) (x43 x65)) ⟶ x45 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x46 x65 x66 = x66) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x47 x65 x66 = If_i (SNoLe x65 0) x66 (x44 (x47 (add_SNo x65 (minus_SNo 1)) x66))) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x48 x65 x66 = x47 x45 (x46 x65 x66)) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x49 x65 x66 = add_SNo (add_SNo (x48 x65 x66) (mul_SNo 2 (add_SNo x65 x65))) x65) ⟶ (∀ x65 . x65 ∈ int ⟶ x50 x65 = x65) ⟶ x51 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x52 x65 x66 = If_i (SNoLe x65 0) x66 (x49 (x52 (add_SNo x65 (minus_SNo 1)) x66) x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ x53 x65 = x52 (x50 x65) x51) ⟶ (∀ x65 . x65 ∈ int ⟶ x54 x65 = x53 x65) ⟶ x55 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x56 x65 x66 = x66) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x57 x65 x66 = If_i (SNoLe x65 0) x66 (x54 (x57 (add_SNo x65 (minus_SNo 1)) x66))) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x58 x65 x66 = x57 x55 (x56 x65 x66)) ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x59 x65 x66 = add_SNo (add_SNo (x58 x65 x66) x65) (mul_SNo (add_SNo (mul_SNo (mul_SNo x65 2) 2) x65) 2)) ⟶ (∀ x65 . x65 ∈ int ⟶ x60 x65 = x65) ⟶ x61 = 1 ⟶ (∀ x65 . x65 ∈ int ⟶ ∀ x66 . x66 ∈ int ⟶ x62 x65 x66 = If_i (SNoLe x65 0) x66 (x59 (x62 (add_SNo x65 (minus_SNo 1)) x66) x65)) ⟶ (∀ x65 . x65 ∈ int ⟶ x63 x65 = x62 (x60 x65) x61) ⟶ (∀ x65 . x65 ∈ int ⟶ x64 x65 = x63 x65) ⟶ ∀ x65 . x65 ∈ int ⟶ SNoLe 0 x65 ⟶ x30 x65 = x64 x65
Conjecture b8d2c..A28036 : ∀ 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 . (∀ 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 . (∀ x32 . x32 ∈ int ⟶ x31 x32 ∈ 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 . x35 ∈ 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 : 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 . x41 ∈ int ⟶ ∀ x42 : ι → ι → ι . (∀ x43 . x43 ∈ int ⟶ ∀ x44 . x44 ∈ int ⟶ x42 x43 x44 ∈ int) ⟶ ∀ x43 : ι → ι → ι . (∀ x44 . x44 ∈ int ⟶ ∀ x45 . x45 ∈ int ⟶ x43 x44 x45 ∈ int) ⟶ ∀ x44 : ι → ι → ι . (∀ x45 . x45 ∈ int ⟶ ∀ x46 . x46 ∈ int ⟶ x44 x45 x46 ∈ int) ⟶ ∀ x45 : ι → ι . (∀ 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 . x51 ∈ int ⟶ x0 x50 x51 = add_SNo (mul_SNo 2 (add_SNo (add_SNo x50 x50) x50)) (mul_SNo x51 x51)) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x1 x50 x51 = add_SNo x51 x51) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x2 x50 x51 = x51) ⟶ x3 = 1 ⟶ x4 = 2 ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x5 x50 x51 x52 = If_i (SNoLe x50 0) x51 (x0 (x5 (add_SNo x50 (minus_SNo 1)) x51 x52) (x6 (add_SNo x50 (minus_SNo 1)) x51 x52))) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ ∀ x52 . x52 ∈ int ⟶ x6 x50 x51 x52 = If_i (SNoLe x50 0) x52 (x1 (x5 (add_SNo x50 (minus_SNo 1)) x51 x52) (x6 (add_SNo x50 (minus_SNo 1)) x51 x52))) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x7 x50 x51 = x5 (x2 x50 x51) x3 x4) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x8 x50 x51 = mul_SNo (add_SNo 2 x51) x50) ⟶ x9 = 2 ⟶ (∀ x50 . x50 ∈ int ⟶ x10 x50 = x50) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x11 x50 x51 = If_i (SNoLe x50 0) x51 (x8 (x11 (add_SNo x50 (minus_SNo 1)) x51) x50)) ⟶ (∀ x50 . x50 ∈ int ⟶ x12 x50 = x11 x9 (x10 x50)) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x13 x50 x51 = add_SNo (add_SNo (x7 x50 x51) (minus_SNo x50)) (x12 x50)) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x14 x50 x51 = x51) ⟶ x15 = 1 ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x16 x50 x51 = If_i (SNoLe x50 0) x51 (x13 (x16 (add_SNo x50 (minus_SNo 1)) x51) x50)) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x17 x50 x51 = x16 (x14 x50 x51) x15) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x18 x50 x51 = add_SNo (add_SNo (add_SNo (x17 x50 x51) x50) x50) x50) ⟶ (∀ x50 . x50 ∈ int ⟶ x19 x50 = x50) ⟶ x20 = 1 ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x21 x50 x51 = If_i (SNoLe x50 0) x51 (x18 (x21 (add_SNo x50 (minus_SNo 1)) x51) x50)) ⟶ (∀ x50 . x50 ∈ int ⟶ x22 x50 = x21 (x19 x50) x20) ⟶ (∀ x50 . x50 ∈ int ⟶ x23 x50 = x22 x50) ⟶ (∀ x50 . x50 ∈ int ⟶ x24 x50 = add_SNo (add_SNo x50 x50) x50) ⟶ (∀ x50 . x50 ∈ int ⟶ x25 x50 = x50) ⟶ (∀ x50 . x50 ∈ int ⟶ x26 x50 = add_SNo x50 x50) ⟶ (∀ x50 . x50 ∈ int ⟶ x27 x50 = x50) ⟶ x28 = 2 ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x29 x50 x51 = If_i (SNoLe x50 0) x51 (x26 (x29 (add_SNo x50 (minus_SNo 1)) x51))) ⟶ (∀ x50 . x50 ∈ int ⟶ x30 x50 = x29 (x27 x50) x28) ⟶ (∀ x50 . x50 ∈ int ⟶ x31 x50 = add_SNo (x30 x50) (minus_SNo 1)) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x32 x50 x51 = If_i (SNoLe x50 0) x51 (x24 (x32 (add_SNo x50 (minus_SNo 1)) x51))) ⟶ (∀ x50 . x50 ∈ int ⟶ x33 x50 = x32 (x25 x50) (x31 x50)) ⟶ (∀ x50 . x50 ∈ int ⟶ x34 x50 = x33 x50) ⟶ x35 = 1 ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x36 x50 x51 = x51) ⟶ (∀ 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 ⟶ ∀ x51 . x51 ∈ int ⟶ x38 x50 x51 = x37 x35 (x36 x50 x51)) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x39 x50 x51 = add_SNo (x38 x50 x51) (mul_SNo 2 (add_SNo x50 x50))) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x40 x50 x51 = x51) ⟶ x41 = 1 ⟶ (∀ 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 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x43 x50 x51 = x42 (x40 x50 x51) x41) ⟶ (∀ x50 . x50 ∈ int ⟶ ∀ x51 . x51 ∈ int ⟶ x44 x50 x51 = add_SNo (add_SNo (x43 x50 x51) (mul_SNo 2 (add_SNo (mul_SNo 2 (add_SNo x50 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 ⟶ x23 x50 = x49 x50
Conjecture dcfea..A28035 : ∀ 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)) (mul_SNo x46 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 (x7 x45 x46) (mul_SNo 2 (add_SNo (mul_SNo 2 (add_SNo 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 (x33 x45 x46) (mul_SNo 2 (add_SNo 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 (x38 x45 x46) (mul_SNo 2 (add_SNo (mul_SNo 2 (add_SNo 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 e1ab2..A28030 : ∀ 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)) (mul_SNo x44 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 (mul_SNo x44 x44) x43) x43) x43) ⟶ (∀ 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 (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

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