Initial Problem
Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉
Temp_Vars: A2, B2, C2, D2, E2, F2, G2, H2, I2, O1, P1, Q1, R1, S1, T1, U1, V1, W1, X1, Y1, Z1
Locations: l0, l1, l2, l3, l4, l5, l6
Transitions:
t₃₉: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l4(P1, X₁, 2, X₃, R1, X₅, Q1, X₇, R1, X₉, X₁₀, X₁₁, X₁₂, O1, X₁₄, S1, X₁₆, R1, P1, T1, S1, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) :|: 2 ≤ P1
t₄₄: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l5(S1, Y1, T1, I2, Q1, W1, Z1, X₇, A2, X₉, X₁₀, X₁₁, X₁₂, O1, X1, R1, X₁₆, U1, P1, X₁₉, X₂₀, V1, C2, X₂₃, X₂₀, X₂₅, B2, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, H2, X₃₈, G2) :|: D2 ≤ 0 ∧ E2 ≤ 0 ∧ P1 ≤ 0 ∧ F2 ≤ 0
t₅₄: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l5(P1, X1, Q1, H2, R1, V1, A2, X₇, U1, X₉, X₁₀, X₁₁, X₁₂, O1, C2, S1, X₁₆, W1, 1, X₁₉, X₆, T1, B2, X₂₃, X₆, X₂₅, Z1, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, G2, X₃₈, Y1)
t₅₅: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l5(P1, G2, Q1, D2, R1, W1, Z1, X₇, A2, X₉, X₁₀, X₁₁, X₁₂, O1, Y1, S1, X₁₆, U1, 1, X₁₉, T1, V1, X1, X₂₃, B2, X₂₅, C2, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, I2, X₃₈, H2) :|: 1 ≤ 0 ∧ B2+1 ≤ T1
t₅₆: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l5(P1, G2, Q1, D2, R1, W1, Z1, X₇, A2, X₉, X₁₀, X₁₁, X₁₂, O1, Y1, S1, X₁₆, U1, 1, X₁₉, T1, V1, X1, X₂₃, B2, X₂₅, C2, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, I2, X₃₈, H2) :|: 1 ≤ 0 ∧ T1+1 ≤ B2
t₅₇: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l5(P1, G2, Q1, D2, R1, W1, Z1, X₇, A2, X₉, X₁₀, X₁₁, X₁₂, O1, Y1, S1, X₁₆, U1, 1, X₁₉, T1, V1, X1, X₂₃, B2, X₂₅, C2, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, I2, X₃₈, H2) :|: 1 ≤ 0 ∧ B2+1 ≤ T1
t₅₈: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l5(P1, G2, Q1, D2, R1, W1, Z1, X₇, A2, X₉, X₁₀, X₁₁, X₁₂, O1, Y1, S1, X₁₆, U1, 1, X₁₉, T1, V1, X1, X₂₃, B2, X₂₅, C2, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, I2, X₃₈, H2) :|: 1 ≤ 0 ∧ T1+1 ≤ B2
t₉: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₂₂, X₂₁, X₂₂, X₂₃, P1, X₂₅, P1, X₂₇, X₂₈, X₂₉, 1+X₃₀, X₃₁-1, S1, X₁₄, R1, 1+X₃₀, X₃₁-1, X₃₇, X₃₈, X₃₉) :|: T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1
t₁₀: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₂₂, X₂₁, X₂₂, X₂₃, P1, X₂₅, P1, X₂₇, X₂₈, X₂₉, 1+X₃₀, X₃₁-1, S1, X₁₄, R1, 1+X₃₀, X₃₁-1, X₃₇, X₃₈, X₃₉) :|: T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1
t₁₁: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₂₂, X₂₁, X₂₂, X₂₃, P1, X₂₅, P1, X₂₇, X₂₈, X₂₉, 1+X₃₀, X₃₁-1, S1, X₁₄, R1, 1+X₃₀, X₃₁-1, X₃₇, X₃₈, X₃₉) :|: T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1
t₁₂: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₂₂, X₂₁, X₂₂, X₂₃, P1, X₂₅, P1, X₂₇, X₂₈, X₂₉, 1+X₃₀, X₃₁-1, S1, X₁₄, R1, 1+X₃₀, X₃₁-1, X₃₇, X₃₈, X₃₉) :|: T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1
t₁₃: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₂₂, X₂₁, X₂₂, X₂₃, P1, X₂₅, P1, X₂₇, X₂₈, X₂₉, 1+X₃₀, X₃₁-1, S1, X₁₄, R1, 1+X₃₀, X₃₁-1, X₃₇, X₃₈, X₃₉) :|: Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1
t₁₄: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₂₂, X₂₁, X₂₂, X₂₃, P1, X₂₅, P1, X₂₇, X₂₈, X₂₉, 1+X₃₀, X₃₁-1, S1, X₁₄, R1, 1+X₃₀, X₃₁-1, X₃₇, X₃₈, X₃₉) :|: Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1
t₁₅: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₂₂, X₂₁, X₂₂, X₂₃, P1, X₂₅, P1, X₂₇, X₂₈, X₂₉, 1+X₃₀, X₃₁-1, S1, X₁₄, R1, 1+X₃₀, X₃₁-1, X₃₇, X₃₈, X₃₉) :|: Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1
t₁₆: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₂₂, X₂₁, X₂₂, X₂₃, P1, X₂₅, P1, X₂₇, X₂₈, X₂₉, 1+X₃₀, X₃₁-1, S1, X₁₄, R1, 1+X₃₀, X₃₁-1, X₃₇, X₃₈, X₃₉) :|: Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1
t₅₀: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l2(X₀, X₂₄, X₂, X₂₄, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, R1, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₂₀, X₂₁, S1, X₂₃, X₂₄, X₂₅, P1, 0, X₂₈, X₂₉, 1+X₇-X₃₁, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₂₄, X₇-X₃₁, X₂₀) :|: 2 ≤ Q1 ∧ X₂₄+1 ≤ X₂₀ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₀+1 ≤ X₂₄ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂
t₅₁: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l2(X₀, X₂₄, X₂, X₂₄, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, R1, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₂₀, X₂₁, S1, X₂₃, X₂₄, X₂₅, P1, 0, X₂₈, X₂₉, 1+X₇-X₃₁, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₂₄, X₇-X₃₁, X₂₀) :|: 2 ≤ Q1 ∧ X₂₄+1 ≤ X₂₀ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂
t₅₂: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l2(X₀, X₂₄, X₂, X₂₄, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, R1, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₂₀, X₂₁, S1, X₂₃, X₂₄, X₂₅, P1, 0, X₂₈, X₂₉, 1+X₇-X₃₁, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₂₄, X₇-X₃₁, X₂₀) :|: 2 ≤ Q1 ∧ X₂₀+1 ≤ X₂₄ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂
t₅₃: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l2(X₀, X₂₄, X₂, X₂₄, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, R1, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₂₀, X₂₁, S1, X₂₃, X₂₄, X₂₅, P1, 0, X₂₈, X₂₉, 1+X₇-X₃₁, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₂₄, X₇-X₃₁, X₂₀) :|: 2 ≤ Q1 ∧ X₂₀+1 ≤ X₂₄ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₄+1 ≤ X₂₀ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂
t₂₉: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l2(X₀, P1, X₂, X₃₇, X₄, X₅, X₆, X₃₁+X₇-1, X₈, 0, X₁₀, X₃₁+X₇-1, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₃₉, X₂₁, X₂₂, X₂₃, P1, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, 0, S1, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) :|: X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1
t₃₀: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l2(X₀, P1, X₂, X₃₇, X₄, X₅, X₆, X₃₁+X₇-1, X₈, 0, X₁₀, X₃₁+X₇-1, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₃₉, X₂₁, X₂₂, X₂₃, P1, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, 0, S1, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) :|: X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1
t₃₁: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l2(X₀, P1, X₂, X₃₇, X₄, X₅, X₆, X₃₁+X₇-1, X₈, 0, X₁₀, X₃₁+X₇-1, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₃₉, X₂₁, X₂₂, X₂₃, P1, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, 0, S1, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) :|: X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1
t₃₂: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l2(X₀, P1, X₂, X₃₇, X₄, X₅, X₆, X₃₁+X₇-1, X₈, 0, X₁₀, X₃₁+X₇-1, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₃₉, X₂₁, X₂₂, X₂₃, P1, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, 0, S1, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) :|: X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1
t₃₃: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l2(X₀, P1, X₂, X₃₇, X₄, X₅, X₆, X₃₁+X₇-1, X₈, 0, X₁₀, X₃₁+X₇-1, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₃₉, X₂₁, X₂₂, X₂₃, P1, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, 0, S1, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) :|: R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1
t₃₄: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l2(X₀, P1, X₂, X₃₇, X₄, X₅, X₆, X₃₁+X₇-1, X₈, 0, X₁₀, X₃₁+X₇-1, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₃₉, X₂₁, X₂₂, X₂₃, P1, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, 0, S1, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) :|: R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1
t₃₅: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l2(X₀, P1, X₂, X₃₇, X₄, X₅, X₆, X₃₁+X₇-1, X₈, 0, X₁₀, X₃₁+X₇-1, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₃₉, X₂₁, X₂₂, X₂₃, P1, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, 0, S1, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) :|: R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1
t₃₆: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l2(X₀, P1, X₂, X₃₇, X₄, X₅, X₆, X₃₁+X₇-1, X₈, 0, X₁₀, X₃₁+X₇-1, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₃₉, X₂₁, X₂₂, X₂₃, P1, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, 0, S1, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) :|: R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1
t₃₇: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l5(X₀, S1, X₂, T1, X₄, P1, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, Q1, X₃₈, R1) :|: 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ 1 ≤ V1 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉
t₃₈: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l5(X₀, S1, X₂, T1, X₄, P1, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, Q1, X₃₈, R1) :|: 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ V1+1 ≤ 0 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉
t₁: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₂₂, X₂₁, X₂₂, X₂₃, P1, X₂₅, P1, X₂₇, S1, R1, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) :|: X₁₄+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₁₆ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1
t₂: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₂₂, X₂₁, X₂₂, X₂₃, P1, X₂₅, P1, X₂₇, S1, R1, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) :|: X₁₄+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₁₆ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1
t₃: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₂₂, X₂₁, X₂₂, X₂₃, P1, X₂₅, P1, X₂₇, S1, R1, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) :|: X₁₄+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₁₆ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1
t₄: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₂₂, X₂₁, X₂₂, X₂₃, P1, X₂₅, P1, X₂₇, S1, R1, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) :|: X₁₄+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₁₆ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1
t₅: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₂₂, X₂₁, X₂₂, X₂₃, P1, X₂₅, P1, X₂₇, S1, R1, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) :|: Q1+1 ≤ X₁₄ ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₁₆ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1
t₆: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₂₂, X₂₁, X₂₂, X₂₃, P1, X₂₅, P1, X₂₇, S1, R1, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) :|: Q1+1 ≤ X₁₄ ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₁₆ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1
t₇: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₂₂, X₂₁, X₂₂, X₂₃, P1, X₂₅, P1, X₂₇, S1, R1, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) :|: Q1+1 ≤ X₁₄ ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₁₆ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1
t₈: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₂₂, X₂₁, X₂₂, X₂₃, P1, X₂₅, P1, X₂₇, S1, R1, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) :|: Q1+1 ≤ X₁₄ ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₁₆ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1
t₄₆: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l2(X₀, X₂₄, X₂, X₂₄, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, R1, X₁₅, X₃₀-1, X₁₇, O1, X₁₉, X₂₀, X₂₁, S1, X₂₃, X₂₄, X₂₅, P1, 0, X₂₈, X₂₉, 1+X₇, 0, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₂₄, X₇, X₂₀) :|: 2 ≤ Q1 ∧ X₂₄+1 ≤ X₂₀ ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ X₂₀+1 ≤ X₂₄ ∧ X₁₆+1 ≤ X₃₀ ∧ X₃₀ ≤ X₁₆+1 ∧ X₃₁ ≤ 0 ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂
t₄₇: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l2(X₀, X₂₄, X₂, X₂₄, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, R1, X₁₅, X₃₀-1, X₁₇, O1, X₁₉, X₂₀, X₂₁, S1, X₂₃, X₂₄, X₂₅, P1, 0, X₂₈, X₂₉, 1+X₇, 0, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₂₄, X₇, X₂₀) :|: 2 ≤ Q1 ∧ X₂₄+1 ≤ X₂₀ ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ X₁₆+1 ≤ X₃₀ ∧ X₃₀ ≤ X₁₆+1 ∧ X₃₁ ≤ 0 ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂
t₄₈: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l2(X₀, X₂₄, X₂, X₂₄, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, R1, X₁₅, X₃₀-1, X₁₇, O1, X₁₉, X₂₀, X₂₁, S1, X₂₃, X₂₄, X₂₅, P1, 0, X₂₈, X₂₉, 1+X₇, 0, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₂₄, X₇, X₂₀) :|: 2 ≤ Q1 ∧ X₂₀+1 ≤ X₂₄ ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ X₁₆+1 ≤ X₃₀ ∧ X₃₀ ≤ X₁₆+1 ∧ X₃₁ ≤ 0 ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂
t₄₉: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l2(X₀, X₂₄, X₂, X₂₄, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, R1, X₁₅, X₃₀-1, X₁₇, O1, X₁₉, X₂₀, X₂₁, S1, X₂₃, X₂₄, X₂₅, P1, 0, X₂₈, X₂₉, 1+X₇, 0, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₂₄, X₇, X₂₀) :|: 2 ≤ Q1 ∧ X₂₀+1 ≤ X₂₄ ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ X₂₄+1 ≤ X₂₀ ∧ X₁₆+1 ≤ X₃₀ ∧ X₃₀ ≤ X₁₆+1 ∧ X₃₁ ≤ 0 ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂
t₄₀: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l1(P1, X₁, Q1, X₃, R1, V1, A2, X₇, U1, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₄, S1, X₃₁, W1, O1, X₁₉, X₂₀, T1, X₂₀, X₃₁+1, Z1, C2, Z1, X₂₇, X₂₈, X₂₉, 1, X₃₁, B2, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) :|: O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀
t₄₁: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l1(P1, X₁, Q1, X₃, R1, V1, A2, X₇, U1, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₄, S1, X₃₁, W1, O1, X₁₉, X₂₀, T1, X₂₀, X₃₁+1, Z1, C2, Z1, X₂₇, X₂₈, X₂₉, 1, X₃₁, B2, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) :|: O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀
t₄₂: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l1(P1, X₁, Q1, X₃, R1, V1, A2, X₇, U1, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₄, S1, X₃₁, W1, O1, X₁₉, X₂₀, T1, X₂₀, X₃₁+1, Z1, C2, Z1, X₂₇, X₂₈, X₂₉, 1, X₃₁, B2, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) :|: O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀
t₄₃: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l1(P1, X₁, Q1, X₃, R1, V1, A2, X₇, U1, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₄, S1, X₃₁, W1, O1, X₁₉, X₂₀, T1, X₂₀, X₃₁+1, Z1, C2, Z1, X₂₇, X₂₈, X₂₉, 1, X₃₁, B2, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) :|: O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀
t₀: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l4(X₀, X₁, 1+X₂, X₃, X₆, X₅, O1, X₇, X₆, X₉, P1, X₁₁, X₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) :|: X₂+1 ≤ X₀ ∧ 0 ≤ X₂
t₄₅: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l5(P1, X1, Q1, H2, R1, V1, A2, X₇, U1, X₉, X₁₀, X₁₁, X₁₂, X₁₃, C2, S1, X₁₆, W1, O1, X₁₉, X₄, T1, B2, X₂₃, X₄, X₂₅, Z1, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, G2, X₃₈, Y1) :|: 2 ≤ I2 ∧ I2 ≤ Q1 ∧ 2 ≤ D2 ∧ D2 ≤ Q1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ O1 ≤ Q1 ∧ 2 ≤ O1 ∧ 0 ≤ Q1 ∧ X₄ ≤ X₂₀ ∧ X₂₀ ≤ X₄
t₁₇: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l2(X₀, P1, X₂, X₃₇, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₃₉, X₂₁, X₂₂, X₂₃, P1, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) :|: X₃₇+1 ≤ S1 ∧ 0 ≤ X₃₈ ∧ 0 ≤ X₃₁ ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ S1+1 ≤ P1
t₁₈: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l2(X₀, P1, X₂, X₃₇, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₃₉, X₂₁, X₂₂, X₂₃, P1, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) :|: X₃₇+1 ≤ S1 ∧ 0 ≤ X₃₈ ∧ 0 ≤ X₃₁ ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ S1
t₁₉: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l2(X₀, P1, X₂, X₃₇, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₃₉, X₂₁, X₂₂, X₂₃, P1, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) :|: X₃₇+1 ≤ S1 ∧ 0 ≤ X₃₈ ∧ 0 ≤ X₃₁ ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ S1+1 ≤ P1
t₂₀: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l2(X₀, P1, X₂, X₃₇, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₃₉, X₂₁, X₂₂, X₂₃, P1, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) :|: X₃₇+1 ≤ S1 ∧ 0 ≤ X₃₈ ∧ 0 ≤ X₃₁ ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ S1
t₂₁: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l2(X₀, P1, X₂, X₃₇, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₃₉, X₂₁, X₂₂, X₂₃, P1, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) :|: S1+1 ≤ X₃₇ ∧ 0 ≤ X₃₈ ∧ 0 ≤ X₃₁ ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ S1+1 ≤ P1
t₂₂: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l2(X₀, P1, X₂, X₃₇, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₃₉, X₂₁, X₂₂, X₂₃, P1, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) :|: S1+1 ≤ X₃₇ ∧ 0 ≤ X₃₈ ∧ 0 ≤ X₃₁ ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ S1
t₂₃: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l2(X₀, P1, X₂, X₃₇, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₃₉, X₂₁, X₂₂, X₂₃, P1, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) :|: S1+1 ≤ X₃₇ ∧ 0 ≤ X₃₈ ∧ 0 ≤ X₃₁ ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ S1+1 ≤ P1
t₂₄: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l2(X₀, P1, X₂, X₃₇, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, X₃₉, X₂₁, X₂₂, X₂₃, P1, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) :|: S1+1 ≤ X₃₇ ∧ 0 ≤ X₃₈ ∧ 0 ≤ X₃₁ ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ S1
t₂₅: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l5(X₀, Q1, X₂, W1, X₄, S1, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, P1, X₂₁, X₂₂, X₂₃, R1, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, V1, X₃₈, T1) :|: 0 ≤ X₃₈ ∧ 0 ≤ X₃₁ ∧ 2 ≤ O1 ∧ R1+1 ≤ P1 ∧ 1 ≤ U1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉
t₂₆: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l5(X₀, Q1, X₂, W1, X₄, S1, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, P1, X₂₁, X₂₂, X₂₃, R1, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, V1, X₃₈, T1) :|: 0 ≤ X₃₈ ∧ 0 ≤ X₃₁ ∧ 2 ≤ O1 ∧ R1+1 ≤ P1 ∧ U1+1 ≤ 0 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉
t₂₇: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l5(X₀, Q1, X₂, W1, X₄, S1, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, P1, X₂₁, X₂₂, X₂₃, R1, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, V1, X₃₈, T1) :|: 0 ≤ X₃₈ ∧ 0 ≤ X₃₁ ∧ 2 ≤ O1 ∧ P1+1 ≤ R1 ∧ 1 ≤ U1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉
t₂₈: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, X₁₈, X₁₉, X₂₀, X₂₁, X₂₂, X₂₃, X₂₄, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, X₃₇, X₃₈, X₃₉) → l5(X₀, Q1, X₂, W1, X₄, S1, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂, X₁₃, X₁₄, X₁₅, X₁₆, X₁₇, O1, X₁₉, P1, X₂₁, X₂₂, X₂₃, R1, X₂₅, X₂₆, X₂₇, X₂₈, X₂₉, X₃₀, X₃₁, X₃₂, X₃₃, X₃₄, X₃₅, X₃₆, V1, X₃₈, T1) :|: 0 ≤ X₃₈ ∧ 0 ≤ X₃₁ ∧ 2 ≤ O1 ∧ P1+1 ≤ R1 ∧ U1+1 ≤ 0 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉
Show Graph
G
l0
l0
l4
l4
l0->l4
t₃₉
η (X₀) = P1
η (X₂) = 2
η (X₄) = R1
η (X₆) = Q1
η (X₈) = R1
η (X₁₃) = O1
η (X₁₅) = S1
η (X₁₇) = R1
η (X₁₈) = P1
η (X₁₉) = T1
η (X₂₀) = S1
τ = 2 ≤ P1
l5
l5
l0->l5
t₄₄
η (X₀) = S1
η (X₁) = Y1
η (X₂) = T1
η (X₃) = I2
η (X₄) = Q1
η (X₅) = W1
η (X₆) = Z1
η (X₈) = A2
η (X₁₃) = O1
η (X₁₄) = X1
η (X₁₅) = R1
η (X₁₇) = U1
η (X₁₈) = P1
η (X₂₁) = V1
η (X₂₂) = C2
η (X₂₄) = X₂₀
η (X₂₆) = B2
η (X₃₇) = H2
η (X₃₉) = G2
τ = D2 ≤ 0 ∧ E2 ≤ 0 ∧ P1 ≤ 0 ∧ F2 ≤ 0
l0->l5
t₅₄
η (X₀) = P1
η (X₁) = X1
η (X₂) = Q1
η (X₃) = H2
η (X₄) = R1
η (X₅) = V1
η (X₆) = A2
η (X₈) = U1
η (X₁₃) = O1
η (X₁₄) = C2
η (X₁₅) = S1
η (X₁₇) = W1
η (X₁₈) = 1
η (X₂₀) = X₆
η (X₂₁) = T1
η (X₂₂) = B2
η (X₂₄) = X₆
η (X₂₆) = Z1
η (X₃₇) = G2
η (X₃₉) = Y1
l0->l5
t₅₅
η (X₀) = P1
η (X₁) = G2
η (X₂) = Q1
η (X₃) = D2
η (X₄) = R1
η (X₅) = W1
η (X₆) = Z1
η (X₈) = A2
η (X₁₃) = O1
η (X₁₄) = Y1
η (X₁₅) = S1
η (X₁₇) = U1
η (X₁₈) = 1
η (X₂₀) = T1
η (X₂₁) = V1
η (X₂₂) = X1
η (X₂₄) = B2
η (X₂₆) = C2
η (X₃₇) = I2
η (X₃₉) = H2
τ = 1 ≤ 0 ∧ B2+1 ≤ T1
l0->l5
t₅₆
η (X₀) = P1
η (X₁) = G2
η (X₂) = Q1
η (X₃) = D2
η (X₄) = R1
η (X₅) = W1
η (X₆) = Z1
η (X₈) = A2
η (X₁₃) = O1
η (X₁₄) = Y1
η (X₁₅) = S1
η (X₁₇) = U1
η (X₁₈) = 1
η (X₂₀) = T1
η (X₂₁) = V1
η (X₂₂) = X1
η (X₂₄) = B2
η (X₂₆) = C2
η (X₃₇) = I2
η (X₃₉) = H2
τ = 1 ≤ 0 ∧ T1+1 ≤ B2
l0->l5
t₅₇
η (X₀) = P1
η (X₁) = G2
η (X₂) = Q1
η (X₃) = D2
η (X₄) = R1
η (X₅) = W1
η (X₆) = Z1
η (X₈) = A2
η (X₁₃) = O1
η (X₁₄) = Y1
η (X₁₅) = S1
η (X₁₇) = U1
η (X₁₈) = 1
η (X₂₀) = T1
η (X₂₁) = V1
η (X₂₂) = X1
η (X₂₄) = B2
η (X₂₆) = C2
η (X₃₇) = I2
η (X₃₉) = H2
τ = 1 ≤ 0 ∧ B2+1 ≤ T1
l0->l5
t₅₈
η (X₀) = P1
η (X₁) = G2
η (X₂) = Q1
η (X₃) = D2
η (X₄) = R1
η (X₅) = W1
η (X₆) = Z1
η (X₈) = A2
η (X₁₃) = O1
η (X₁₄) = Y1
η (X₁₅) = S1
η (X₁₇) = U1
η (X₁₈) = 1
η (X₂₀) = T1
η (X₂₁) = V1
η (X₂₂) = X1
η (X₂₄) = B2
η (X₂₆) = C2
η (X₃₇) = I2
η (X₃₉) = H2
τ = 1 ≤ 0 ∧ T1+1 ≤ B2
l1
l1
l1->l1
t₉
η (X₁₈) = O1
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₂₆) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
η (X₃₂) = S1
η (X₃₃) = X₁₄
η (X₃₄) = R1
η (X₃₅) = 1+X₃₀
η (X₃₆) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1
l1->l1
t₁₀
η (X₁₈) = O1
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₂₆) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
η (X₃₂) = S1
η (X₃₃) = X₁₄
η (X₃₄) = R1
η (X₃₅) = 1+X₃₀
η (X₃₆) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1
l1->l1
t₁₁
η (X₁₈) = O1
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₂₆) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
η (X₃₂) = S1
η (X₃₃) = X₁₄
η (X₃₄) = R1
η (X₃₅) = 1+X₃₀
η (X₃₆) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1
l1->l1
t₁₂
η (X₁₈) = O1
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₂₆) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
η (X₃₂) = S1
η (X₃₃) = X₁₄
η (X₃₄) = R1
η (X₃₅) = 1+X₃₀
η (X₃₆) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1
l1->l1
t₁₃
η (X₁₈) = O1
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₂₆) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
η (X₃₂) = S1
η (X₃₃) = X₁₄
η (X₃₄) = R1
η (X₃₅) = 1+X₃₀
η (X₃₆) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1
l1->l1
t₁₄
η (X₁₈) = O1
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₂₆) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
η (X₃₂) = S1
η (X₃₃) = X₁₄
η (X₃₄) = R1
η (X₃₅) = 1+X₃₀
η (X₃₆) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1
l1->l1
t₁₅
η (X₁₈) = O1
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₂₆) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
η (X₃₂) = S1
η (X₃₃) = X₁₄
η (X₃₄) = R1
η (X₃₅) = 1+X₃₀
η (X₃₆) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1
l1->l1
t₁₆
η (X₁₈) = O1
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₂₆) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
η (X₃₂) = S1
η (X₃₃) = X₁₄
η (X₃₄) = R1
η (X₃₅) = 1+X₃₀
η (X₃₆) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1
l2
l2
l1->l2
t₅₀
η (X₁) = X₂₄
η (X₃) = X₂₄
η (X₁₄) = R1
η (X₁₈) = O1
η (X₂₂) = S1
η (X₂₆) = P1
η (X₂₇) = 0
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₈) = X₇-X₃₁
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₄+1 ≤ X₂₀ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₀+1 ≤ X₂₄ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂
l1->l2
t₅₁
η (X₁) = X₂₄
η (X₃) = X₂₄
η (X₁₄) = R1
η (X₁₈) = O1
η (X₂₂) = S1
η (X₂₆) = P1
η (X₂₇) = 0
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₈) = X₇-X₃₁
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₄+1 ≤ X₂₀ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂
l1->l2
t₅₂
η (X₁) = X₂₄
η (X₃) = X₂₄
η (X₁₄) = R1
η (X₁₈) = O1
η (X₂₂) = S1
η (X₂₆) = P1
η (X₂₇) = 0
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₈) = X₇-X₃₁
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₀+1 ≤ X₂₄ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂
l1->l2
t₅₃
η (X₁) = X₂₄
η (X₃) = X₂₄
η (X₁₄) = R1
η (X₁₈) = O1
η (X₂₂) = S1
η (X₂₆) = P1
η (X₂₇) = 0
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₈) = X₇-X₃₁
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₀+1 ≤ X₂₄ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₄+1 ≤ X₂₀ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂
l2->l2
t₂₉
η (X₁) = P1
η (X₃) = X₃₇
η (X₇) = X₃₁+X₇-1
η (X₉) = 0
η (X₁₁) = X₃₁+X₇-1
η (X₁₈) = O1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
η (X₃₂) = S1
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1
l2->l2
t₃₀
η (X₁) = P1
η (X₃) = X₃₇
η (X₇) = X₃₁+X₇-1
η (X₉) = 0
η (X₁₁) = X₃₁+X₇-1
η (X₁₈) = O1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
η (X₃₂) = S1
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1
l2->l2
t₃₁
η (X₁) = P1
η (X₃) = X₃₇
η (X₇) = X₃₁+X₇-1
η (X₉) = 0
η (X₁₁) = X₃₁+X₇-1
η (X₁₈) = O1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
η (X₃₂) = S1
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1
l2->l2
t₃₂
η (X₁) = P1
η (X₃) = X₃₇
η (X₇) = X₃₁+X₇-1
η (X₉) = 0
η (X₁₁) = X₃₁+X₇-1
η (X₁₈) = O1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
η (X₃₂) = S1
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1
l2->l2
t₃₃
η (X₁) = P1
η (X₃) = X₃₇
η (X₇) = X₃₁+X₇-1
η (X₉) = 0
η (X₁₁) = X₃₁+X₇-1
η (X₁₈) = O1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
η (X₃₂) = S1
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1
l2->l2
t₃₄
η (X₁) = P1
η (X₃) = X₃₇
η (X₇) = X₃₁+X₇-1
η (X₉) = 0
η (X₁₁) = X₃₁+X₇-1
η (X₁₈) = O1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
η (X₃₂) = S1
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1
l2->l2
t₃₅
η (X₁) = P1
η (X₃) = X₃₇
η (X₇) = X₃₁+X₇-1
η (X₉) = 0
η (X₁₁) = X₃₁+X₇-1
η (X₁₈) = O1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
η (X₃₂) = S1
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1
l2->l2
t₃₆
η (X₁) = P1
η (X₃) = X₃₇
η (X₇) = X₃₁+X₇-1
η (X₉) = 0
η (X₁₁) = X₃₁+X₇-1
η (X₁₈) = O1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
η (X₃₂) = S1
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1
l2->l5
t₃₇
η (X₁) = S1
η (X₃) = T1
η (X₅) = P1
η (X₁₈) = O1
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ 1 ≤ V1 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉
l2->l5
t₃₈
η (X₁) = S1
η (X₃) = T1
η (X₅) = P1
η (X₁₈) = O1
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ V1+1 ≤ 0 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉
l3
l3
l3->l1
t₁
η (X₁₈) = O1
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₂₆) = P1
η (X₂₈) = S1
η (X₂₉) = R1
τ = X₁₄+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₁₆ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1
l3->l1
t₂
η (X₁₈) = O1
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₂₆) = P1
η (X₂₈) = S1
η (X₂₉) = R1
τ = X₁₄+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₁₆ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1
l3->l1
t₃
η (X₁₈) = O1
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₂₆) = P1
η (X₂₈) = S1
η (X₂₉) = R1
τ = X₁₄+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₁₆ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1
l3->l1
t₄
η (X₁₈) = O1
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₂₆) = P1
η (X₂₈) = S1
η (X₂₉) = R1
τ = X₁₄+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₁₆ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1
l3->l1
t₅
η (X₁₈) = O1
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₂₆) = P1
η (X₂₈) = S1
η (X₂₉) = R1
τ = Q1+1 ≤ X₁₄ ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₁₆ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1
l3->l1
t₆
η (X₁₈) = O1
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₂₆) = P1
η (X₂₈) = S1
η (X₂₉) = R1
τ = Q1+1 ≤ X₁₄ ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₁₆ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1
l3->l1
t₇
η (X₁₈) = O1
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₂₆) = P1
η (X₂₈) = S1
η (X₂₉) = R1
τ = Q1+1 ≤ X₁₄ ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₁₆ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1
l3->l1
t₈
η (X₁₈) = O1
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₂₆) = P1
η (X₂₈) = S1
η (X₂₉) = R1
τ = Q1+1 ≤ X₁₄ ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₁₆ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1
l3->l2
t₄₆
η (X₁) = X₂₄
η (X₃) = X₂₄
η (X₁₄) = R1
η (X₁₆) = X₃₀-1
η (X₁₈) = O1
η (X₂₂) = S1
η (X₂₆) = P1
η (X₂₇) = 0
η (X₃₀) = 1+X₇
η (X₃₁) = 0
η (X₃₇) = X₂₄
η (X₃₈) = X₇
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₄+1 ≤ X₂₀ ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ X₂₀+1 ≤ X₂₄ ∧ X₁₆+1 ≤ X₃₀ ∧ X₃₀ ≤ X₁₆+1 ∧ X₃₁ ≤ 0 ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂
l3->l2
t₄₇
η (X₁) = X₂₄
η (X₃) = X₂₄
η (X₁₄) = R1
η (X₁₆) = X₃₀-1
η (X₁₈) = O1
η (X₂₂) = S1
η (X₂₆) = P1
η (X₂₇) = 0
η (X₃₀) = 1+X₇
η (X₃₁) = 0
η (X₃₇) = X₂₄
η (X₃₈) = X₇
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₄+1 ≤ X₂₀ ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ X₁₆+1 ≤ X₃₀ ∧ X₃₀ ≤ X₁₆+1 ∧ X₃₁ ≤ 0 ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂
l3->l2
t₄₈
η (X₁) = X₂₄
η (X₃) = X₂₄
η (X₁₄) = R1
η (X₁₆) = X₃₀-1
η (X₁₈) = O1
η (X₂₂) = S1
η (X₂₆) = P1
η (X₂₇) = 0
η (X₃₀) = 1+X₇
η (X₃₁) = 0
η (X₃₇) = X₂₄
η (X₃₈) = X₇
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₀+1 ≤ X₂₄ ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ X₁₆+1 ≤ X₃₀ ∧ X₃₀ ≤ X₁₆+1 ∧ X₃₁ ≤ 0 ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂
l3->l2
t₄₉
η (X₁) = X₂₄
η (X₃) = X₂₄
η (X₁₄) = R1
η (X₁₆) = X₃₀-1
η (X₁₈) = O1
η (X₂₂) = S1
η (X₂₆) = P1
η (X₂₇) = 0
η (X₃₀) = 1+X₇
η (X₃₁) = 0
η (X₃₇) = X₂₄
η (X₃₈) = X₇
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₀+1 ≤ X₂₄ ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ X₂₄+1 ≤ X₂₀ ∧ X₁₆+1 ≤ X₃₀ ∧ X₃₀ ≤ X₁₆+1 ∧ X₃₁ ≤ 0 ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂
l4->l1
t₄₀
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₅) = V1
η (X₆) = A2
η (X₈) = U1
η (X₁₄) = X₄
η (X₁₅) = S1
η (X₁₆) = X₃₁
η (X₁₇) = W1
η (X₁₈) = O1
η (X₂₁) = T1
η (X₂₂) = X₂₀
η (X₂₃) = X₃₁+1
η (X₂₄) = Z1
η (X₂₅) = C2
η (X₂₆) = Z1
η (X₃₀) = 1
η (X₃₂) = B2
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀
l4->l1
t₄₁
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₅) = V1
η (X₆) = A2
η (X₈) = U1
η (X₁₄) = X₄
η (X₁₅) = S1
η (X₁₆) = X₃₁
η (X₁₇) = W1
η (X₁₈) = O1
η (X₂₁) = T1
η (X₂₂) = X₂₀
η (X₂₃) = X₃₁+1
η (X₂₄) = Z1
η (X₂₅) = C2
η (X₂₆) = Z1
η (X₃₀) = 1
η (X₃₂) = B2
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀
l4->l1
t₄₂
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₅) = V1
η (X₆) = A2
η (X₈) = U1
η (X₁₄) = X₄
η (X₁₅) = S1
η (X₁₆) = X₃₁
η (X₁₇) = W1
η (X₁₈) = O1
η (X₂₁) = T1
η (X₂₂) = X₂₀
η (X₂₃) = X₃₁+1
η (X₂₄) = Z1
η (X₂₅) = C2
η (X₂₆) = Z1
η (X₃₀) = 1
η (X₃₂) = B2
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀
l4->l1
t₄₃
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₅) = V1
η (X₆) = A2
η (X₈) = U1
η (X₁₄) = X₄
η (X₁₅) = S1
η (X₁₆) = X₃₁
η (X₁₇) = W1
η (X₁₈) = O1
η (X₂₁) = T1
η (X₂₂) = X₂₀
η (X₂₃) = X₃₁+1
η (X₂₄) = Z1
η (X₂₅) = C2
η (X₂₆) = Z1
η (X₃₀) = 1
η (X₃₂) = B2
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀
l4->l4
t₀
η (X₂) = 1+X₂
η (X₄) = X₆
η (X₆) = O1
η (X₈) = X₆
η (X₁₀) = P1
η (X₁₂) = X₂
τ = X₂+1 ≤ X₀ ∧ 0 ≤ X₂
l4->l5
t₄₅
η (X₀) = P1
η (X₁) = X1
η (X₂) = Q1
η (X₃) = H2
η (X₄) = R1
η (X₅) = V1
η (X₆) = A2
η (X₈) = U1
η (X₁₄) = C2
η (X₁₅) = S1
η (X₁₇) = W1
η (X₁₈) = O1
η (X₂₀) = X₄
η (X₂₁) = T1
η (X₂₂) = B2
η (X₂₄) = X₄
η (X₂₆) = Z1
η (X₃₇) = G2
η (X₃₉) = Y1
τ = 2 ≤ I2 ∧ I2 ≤ Q1 ∧ 2 ≤ D2 ∧ D2 ≤ Q1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ O1 ≤ Q1 ∧ 2 ≤ O1 ∧ 0 ≤ Q1 ∧ X₄ ≤ X₂₀ ∧ X₂₀ ≤ X₄
l6
l6
l6->l2
t₁₇
η (X₁) = P1
η (X₃) = X₃₇
η (X₁₈) = O1
η (X₂₀) = X₃₉
η (X₂₄) = P1
τ = X₃₇+1 ≤ S1 ∧ 0 ≤ X₃₈ ∧ 0 ≤ X₃₁ ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ S1+1 ≤ P1
l6->l2
t₁₈
η (X₁) = P1
η (X₃) = X₃₇
η (X₁₈) = O1
η (X₂₀) = X₃₉
η (X₂₄) = P1
τ = X₃₇+1 ≤ S1 ∧ 0 ≤ X₃₈ ∧ 0 ≤ X₃₁ ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ S1
l6->l2
t₁₉
η (X₁) = P1
η (X₃) = X₃₇
η (X₁₈) = O1
η (X₂₀) = X₃₉
η (X₂₄) = P1
τ = X₃₇+1 ≤ S1 ∧ 0 ≤ X₃₈ ∧ 0 ≤ X₃₁ ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ S1+1 ≤ P1
l6->l2
t₂₀
η (X₁) = P1
η (X₃) = X₃₇
η (X₁₈) = O1
η (X₂₀) = X₃₉
η (X₂₄) = P1
τ = X₃₇+1 ≤ S1 ∧ 0 ≤ X₃₈ ∧ 0 ≤ X₃₁ ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ S1
l6->l2
t₂₁
η (X₁) = P1
η (X₃) = X₃₇
η (X₁₈) = O1
η (X₂₀) = X₃₉
η (X₂₄) = P1
τ = S1+1 ≤ X₃₇ ∧ 0 ≤ X₃₈ ∧ 0 ≤ X₃₁ ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ S1+1 ≤ P1
l6->l2
t₂₂
η (X₁) = P1
η (X₃) = X₃₇
η (X₁₈) = O1
η (X₂₀) = X₃₉
η (X₂₄) = P1
τ = S1+1 ≤ X₃₇ ∧ 0 ≤ X₃₈ ∧ 0 ≤ X₃₁ ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ S1
l6->l2
t₂₃
η (X₁) = P1
η (X₃) = X₃₇
η (X₁₈) = O1
η (X₂₀) = X₃₉
η (X₂₄) = P1
τ = S1+1 ≤ X₃₇ ∧ 0 ≤ X₃₈ ∧ 0 ≤ X₃₁ ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ S1+1 ≤ P1
l6->l2
t₂₄
η (X₁) = P1
η (X₃) = X₃₇
η (X₁₈) = O1
η (X₂₀) = X₃₉
η (X₂₄) = P1
τ = S1+1 ≤ X₃₇ ∧ 0 ≤ X₃₈ ∧ 0 ≤ X₃₁ ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ S1
l6->l5
t₂₅
η (X₁) = Q1
η (X₃) = W1
η (X₅) = S1
η (X₁₈) = O1
η (X₂₀) = P1
η (X₂₄) = R1
η (X₃₇) = V1
η (X₃₉) = T1
τ = 0 ≤ X₃₈ ∧ 0 ≤ X₃₁ ∧ 2 ≤ O1 ∧ R1+1 ≤ P1 ∧ 1 ≤ U1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉
l6->l5
t₂₆
η (X₁) = Q1
η (X₃) = W1
η (X₅) = S1
η (X₁₈) = O1
η (X₂₀) = P1
η (X₂₄) = R1
η (X₃₇) = V1
η (X₃₉) = T1
τ = 0 ≤ X₃₈ ∧ 0 ≤ X₃₁ ∧ 2 ≤ O1 ∧ R1+1 ≤ P1 ∧ U1+1 ≤ 0 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉
l6->l5
t₂₇
η (X₁) = Q1
η (X₃) = W1
η (X₅) = S1
η (X₁₈) = O1
η (X₂₀) = P1
η (X₂₄) = R1
η (X₃₇) = V1
η (X₃₉) = T1
τ = 0 ≤ X₃₈ ∧ 0 ≤ X₃₁ ∧ 2 ≤ O1 ∧ P1+1 ≤ R1 ∧ 1 ≤ U1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉
l6->l5
t₂₈
η (X₁) = Q1
η (X₃) = W1
η (X₅) = S1
η (X₁₈) = O1
η (X₂₀) = P1
η (X₂₄) = R1
η (X₃₇) = V1
η (X₃₉) = T1
τ = 0 ≤ X₃₈ ∧ 0 ≤ X₃₁ ∧ 2 ≤ O1 ∧ P1+1 ≤ R1 ∧ U1+1 ≤ 0 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉
Preprocessing
Cut unreachable locations [l3; l6] from the program graph
Cut unsatisfiable transition t₅₅: l0→l5
Cut unsatisfiable transition t₅₆: l0→l5
Cut unsatisfiable transition t₅₇: l0→l5
Cut unsatisfiable transition t₅₈: l0→l5
Cut unsatisfiable transition t₅₀: l1→l2
Cut unsatisfiable transition t₅₃: l1→l2
Eliminate variables {U1,W1,X₁,X₃,X₅,X₈,X₉,X₁₀,X₁₁,X₁₂,X₁₃,X₁₅,X₁₆,X₁₇,X₁₈,X₁₉,X₂₁,X₂₃,X₂₅,X₂₆,X₂₇,X₂₈,X₂₉,X₃₂,X₃₃,X₃₄,X₃₅,X₃₆,X₃₈} that do not contribute to the problem
Found invariant X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂ for location l2
Found invariant 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂ for location l1
Found invariant X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀ for location l4
Problem after Preprocessing
Start: l0
Program_Vars: X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉
Temp_Vars: A2, B2, C2, D2, E2, F2, G2, H2, I2, O1, P1, Q1, R1, S1, T1, V1, X1, Y1, Z1
Locations: l0, l1, l2, l4, l5
Transitions:
t₁₂₃: l0(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l4(P1, 2, R1, Q1, X₇, X₁₄, S1, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) :|: 2 ≤ P1
t₁₂₄: l0(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l5(S1, T1, Q1, Z1, X₇, X1, X₂₀, C2, X₂₀, X₃₀, X₃₁, H2, G2) :|: D2 ≤ 0 ∧ E2 ≤ 0 ∧ P1 ≤ 0 ∧ F2 ≤ 0
t₁₂₅: l0(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l5(P1, Q1, R1, A2, X₇, C2, X₆, B2, X₆, X₃₀, X₃₁, G2, Y1)
t₁₂₆: l1(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l1(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₂, X₂₂, P1, 1+X₃₀, X₃₁-1, X₃₇, X₃₉) :|: T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
t₁₂₇: l1(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l1(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₂, X₂₂, P1, 1+X₃₀, X₃₁-1, X₃₇, X₃₉) :|: T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
t₁₂₈: l1(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l1(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₂, X₂₂, P1, 1+X₃₀, X₃₁-1, X₃₇, X₃₉) :|: T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
t₁₂₉: l1(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l1(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₂, X₂₂, P1, 1+X₃₀, X₃₁-1, X₃₇, X₃₉) :|: T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
t₁₃₀: l1(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l1(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₂, X₂₂, P1, 1+X₃₀, X₃₁-1, X₃₇, X₃₉) :|: Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
t₁₃₁: l1(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l1(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₂, X₂₂, P1, 1+X₃₀, X₃₁-1, X₃₇, X₃₉) :|: Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
t₁₃₂: l1(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l1(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₂, X₂₂, P1, 1+X₃₀, X₃₁-1, X₃₇, X₃₉) :|: Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
t₁₃₃: l1(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l1(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₂, X₂₂, P1, 1+X₃₀, X₃₁-1, X₃₇, X₃₉) :|: Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
t₁₃₄: l1(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l2(X₀, X₂, X₄, X₆, X₇, R1, X₂₀, S1, X₂₄, 1+X₇-X₃₁, X₃₁, X₂₄, X₂₀) :|: 2 ≤ Q1 ∧ X₂₄+1 ≤ X₂₀ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
t₁₃₅: l1(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l2(X₀, X₂, X₄, X₆, X₇, R1, X₂₀, S1, X₂₄, 1+X₇-X₃₁, X₃₁, X₂₄, X₂₀) :|: 2 ≤ Q1 ∧ X₂₀+1 ≤ X₂₄ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
t₁₃₆: l2(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l2(X₀, X₂, X₄, X₆, X₃₁+X₇-1, X₁₄, X₃₉, X₂₂, P1, X₃₀, 0, X₃₇, X₃₉) :|: X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
t₁₃₇: l2(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l2(X₀, X₂, X₄, X₆, X₃₁+X₇-1, X₁₄, X₃₉, X₂₂, P1, X₃₀, 0, X₃₇, X₃₉) :|: X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
t₁₃₈: l2(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l2(X₀, X₂, X₄, X₆, X₃₁+X₇-1, X₁₄, X₃₉, X₂₂, P1, X₃₀, 0, X₃₇, X₃₉) :|: X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
t₁₃₉: l2(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l2(X₀, X₂, X₄, X₆, X₃₁+X₇-1, X₁₄, X₃₉, X₂₂, P1, X₃₀, 0, X₃₇, X₃₉) :|: X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
t₁₄₀: l2(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l2(X₀, X₂, X₄, X₆, X₃₁+X₇-1, X₁₄, X₃₉, X₂₂, P1, X₃₀, 0, X₃₇, X₃₉) :|: R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
t₁₄₁: l2(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l2(X₀, X₂, X₄, X₆, X₃₁+X₇-1, X₁₄, X₃₉, X₂₂, P1, X₃₀, 0, X₃₇, X₃₉) :|: R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
t₁₄₂: l2(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l2(X₀, X₂, X₄, X₆, X₃₁+X₇-1, X₁₄, X₃₉, X₂₂, P1, X₃₀, 0, X₃₇, X₃₉) :|: R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
t₁₄₃: l2(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l2(X₀, X₂, X₄, X₆, X₃₁+X₇-1, X₁₄, X₃₉, X₂₂, P1, X₃₀, 0, X₃₇, X₃₉) :|: R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
t₁₄₄: l2(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l5(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, Q1, R1) :|: 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ 1 ≤ V1 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
t₁₄₅: l2(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l5(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, Q1, R1) :|: 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ V1+1 ≤ 0 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
t₁₄₇: l4(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l1(P1, Q1, R1, A2, X₇, X₄, X₂₀, X₂₀, Z1, 1, X₃₁, X₃₇, X₃₉) :|: O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
t₁₄₈: l4(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l1(P1, Q1, R1, A2, X₇, X₄, X₂₀, X₂₀, Z1, 1, X₃₁, X₃₇, X₃₉) :|: O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
t₁₄₉: l4(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l1(P1, Q1, R1, A2, X₇, X₄, X₂₀, X₂₀, Z1, 1, X₃₁, X₃₇, X₃₉) :|: O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
t₁₅₀: l4(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l1(P1, Q1, R1, A2, X₇, X₄, X₂₀, X₂₀, Z1, 1, X₃₁, X₃₇, X₃₉) :|: O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
t₁₄₆: l4(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l4(X₀, 1+X₂, X₆, O1, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) :|: X₂+1 ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
t₁₅₁: l4(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l5(P1, Q1, R1, A2, X₇, C2, X₄, B2, X₄, X₃₀, X₃₁, G2, Y1) :|: 2 ≤ I2 ∧ I2 ≤ Q1 ∧ 2 ≤ D2 ∧ D2 ≤ Q1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ O1 ≤ Q1 ∧ 2 ≤ O1 ∧ 0 ≤ Q1 ∧ X₄ ≤ X₂₀ ∧ X₂₀ ≤ X₄ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
Show Graph
G
l0
l0
l4
l4
l0->l4
t₁₂₃
η (X₀) = P1
η (X₂) = 2
η (X₄) = R1
η (X₆) = Q1
η (X₂₀) = S1
τ = 2 ≤ P1
l5
l5
l0->l5
t₁₂₄
η (X₀) = S1
η (X₂) = T1
η (X₄) = Q1
η (X₆) = Z1
η (X₁₄) = X1
η (X₂₂) = C2
η (X₂₄) = X₂₀
η (X₃₇) = H2
η (X₃₉) = G2
τ = D2 ≤ 0 ∧ E2 ≤ 0 ∧ P1 ≤ 0 ∧ F2 ≤ 0
l0->l5
t₁₂₅
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = C2
η (X₂₀) = X₆
η (X₂₂) = B2
η (X₂₄) = X₆
η (X₃₇) = G2
η (X₃₉) = Y1
l1
l1
l1->l1
t₁₂₆
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₇
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₈
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₉
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₀
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₁
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₂
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₃
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l2
l2
l1->l2
t₁₃₄
η (X₁₄) = R1
η (X₂₂) = S1
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₄+1 ≤ X₂₀ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l2
t₁₃₅
η (X₁₄) = R1
η (X₂₂) = S1
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₀+1 ≤ X₂₄ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l2->l2
t₁₃₆
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₇
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₈
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₉
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₀
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₁
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₂
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₃
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l5
t₁₄₄
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ 1 ≤ V1 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l5
t₁₄₅
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ V1+1 ≤ 0 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l4->l1
t₁₄₇
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₄₈
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₄₉
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₅₀
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l4
t₁₄₆
η (X₂) = 1+X₂
η (X₄) = X₆
η (X₆) = O1
τ = X₂+1 ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l5
t₁₅₁
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = C2
η (X₂₀) = X₄
η (X₂₂) = B2
η (X₂₄) = X₄
η (X₃₇) = G2
η (X₃₉) = Y1
τ = 2 ≤ I2 ∧ I2 ≤ Q1 ∧ 2 ≤ D2 ∧ D2 ≤ Q1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ O1 ≤ Q1 ∧ 2 ≤ O1 ∧ 0 ≤ Q1 ∧ X₄ ≤ X₂₀ ∧ X₂₀ ≤ X₄ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
Analysing control-flow refined program
Found invariant X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂ for location l2
Found invariant X₂ ≤ X₀ ∧ 3 ≤ X₂ ∧ 6 ≤ X₀+X₂ ∧ 3 ≤ X₀ for location n_l4___1
Found invariant 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂ for location l1
Found invariant X₂ ≤ 2 ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀ for location l4
CFR did not improve the program. Rolling back
MPRF for transition t₁₂₆: l1(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l1(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₂, X₂₂, P1, 1+X₃₀, X₃₁-1, X₃₇, X₃₉) :|: T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂ of depth 1:
new bound:
8⋅X₃₁+4 {O(n)}
MPRF:
l1 [X₃₁+1 ]
Show Graph
G
l0
l0
l4
l4
l0->l4
t₁₂₃
η (X₀) = P1
η (X₂) = 2
η (X₄) = R1
η (X₆) = Q1
η (X₂₀) = S1
τ = 2 ≤ P1
l5
l5
l0->l5
t₁₂₄
η (X₀) = S1
η (X₂) = T1
η (X₄) = Q1
η (X₆) = Z1
η (X₁₄) = X1
η (X₂₂) = C2
η (X₂₄) = X₂₀
η (X₃₇) = H2
η (X₃₉) = G2
τ = D2 ≤ 0 ∧ E2 ≤ 0 ∧ P1 ≤ 0 ∧ F2 ≤ 0
l0->l5
t₁₂₅
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = C2
η (X₂₀) = X₆
η (X₂₂) = B2
η (X₂₄) = X₆
η (X₃₇) = G2
η (X₃₉) = Y1
l1
l1
l1->l1
t₁₂₆
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₇
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₈
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₉
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₀
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₁
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₂
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₃
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l2
l2
l1->l2
t₁₃₄
η (X₁₄) = R1
η (X₂₂) = S1
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₄+1 ≤ X₂₀ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l2
t₁₃₅
η (X₁₄) = R1
η (X₂₂) = S1
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₀+1 ≤ X₂₄ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l2->l2
t₁₃₆
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₇
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₈
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₉
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₀
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₁
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₂
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₃
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l5
t₁₄₄
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ 1 ≤ V1 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l5
t₁₄₅
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ V1+1 ≤ 0 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l4->l1
t₁₄₇
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₄₈
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₄₉
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₅₀
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l4
t₁₄₆
η (X₂) = 1+X₂
η (X₄) = X₆
η (X₆) = O1
τ = X₂+1 ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l5
t₁₅₁
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = C2
η (X₂₀) = X₄
η (X₂₂) = B2
η (X₂₄) = X₄
η (X₃₇) = G2
η (X₃₉) = Y1
τ = 2 ≤ I2 ∧ I2 ≤ Q1 ∧ 2 ≤ D2 ∧ D2 ≤ Q1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ O1 ≤ Q1 ∧ 2 ≤ O1 ∧ 0 ≤ Q1 ∧ X₄ ≤ X₂₀ ∧ X₂₀ ≤ X₄ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
MPRF for transition t₁₂₇: l1(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l1(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₂, X₂₂, P1, 1+X₃₀, X₃₁-1, X₃₇, X₃₉) :|: T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂ of depth 1:
new bound:
8⋅X₃₁+4 {O(n)}
MPRF:
l1 [X₃₁+1 ]
Show Graph
G
l0
l0
l4
l4
l0->l4
t₁₂₃
η (X₀) = P1
η (X₂) = 2
η (X₄) = R1
η (X₆) = Q1
η (X₂₀) = S1
τ = 2 ≤ P1
l5
l5
l0->l5
t₁₂₄
η (X₀) = S1
η (X₂) = T1
η (X₄) = Q1
η (X₆) = Z1
η (X₁₄) = X1
η (X₂₂) = C2
η (X₂₄) = X₂₀
η (X₃₇) = H2
η (X₃₉) = G2
τ = D2 ≤ 0 ∧ E2 ≤ 0 ∧ P1 ≤ 0 ∧ F2 ≤ 0
l0->l5
t₁₂₅
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = C2
η (X₂₀) = X₆
η (X₂₂) = B2
η (X₂₄) = X₆
η (X₃₇) = G2
η (X₃₉) = Y1
l1
l1
l1->l1
t₁₂₆
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₇
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₈
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₉
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₀
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₁
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₂
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₃
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l2
l2
l1->l2
t₁₃₄
η (X₁₄) = R1
η (X₂₂) = S1
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₄+1 ≤ X₂₀ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l2
t₁₃₅
η (X₁₄) = R1
η (X₂₂) = S1
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₀+1 ≤ X₂₄ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l2->l2
t₁₃₆
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₇
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₈
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₉
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₀
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₁
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₂
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₃
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l5
t₁₄₄
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ 1 ≤ V1 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l5
t₁₄₅
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ V1+1 ≤ 0 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l4->l1
t₁₄₇
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₄₈
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₄₉
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₅₀
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l4
t₁₄₆
η (X₂) = 1+X₂
η (X₄) = X₆
η (X₆) = O1
τ = X₂+1 ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l5
t₁₅₁
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = C2
η (X₂₀) = X₄
η (X₂₂) = B2
η (X₂₄) = X₄
η (X₃₇) = G2
η (X₃₉) = Y1
τ = 2 ≤ I2 ∧ I2 ≤ Q1 ∧ 2 ≤ D2 ∧ D2 ≤ Q1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ O1 ≤ Q1 ∧ 2 ≤ O1 ∧ 0 ≤ Q1 ∧ X₄ ≤ X₂₀ ∧ X₂₀ ≤ X₄ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
MPRF for transition t₁₂₈: l1(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l1(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₂, X₂₂, P1, 1+X₃₀, X₃₁-1, X₃₇, X₃₉) :|: T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂ of depth 1:
new bound:
8⋅X₃₁+4 {O(n)}
MPRF:
l1 [X₃₁+1 ]
Show Graph
G
l0
l0
l4
l4
l0->l4
t₁₂₃
η (X₀) = P1
η (X₂) = 2
η (X₄) = R1
η (X₆) = Q1
η (X₂₀) = S1
τ = 2 ≤ P1
l5
l5
l0->l5
t₁₂₄
η (X₀) = S1
η (X₂) = T1
η (X₄) = Q1
η (X₆) = Z1
η (X₁₄) = X1
η (X₂₂) = C2
η (X₂₄) = X₂₀
η (X₃₇) = H2
η (X₃₉) = G2
τ = D2 ≤ 0 ∧ E2 ≤ 0 ∧ P1 ≤ 0 ∧ F2 ≤ 0
l0->l5
t₁₂₅
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = C2
η (X₂₀) = X₆
η (X₂₂) = B2
η (X₂₄) = X₆
η (X₃₇) = G2
η (X₃₉) = Y1
l1
l1
l1->l1
t₁₂₆
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₇
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₈
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₉
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₀
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₁
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₂
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₃
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l2
l2
l1->l2
t₁₃₄
η (X₁₄) = R1
η (X₂₂) = S1
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₄+1 ≤ X₂₀ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l2
t₁₃₅
η (X₁₄) = R1
η (X₂₂) = S1
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₀+1 ≤ X₂₄ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l2->l2
t₁₃₆
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₇
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₈
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₉
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₀
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₁
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₂
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₃
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l5
t₁₄₄
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ 1 ≤ V1 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l5
t₁₄₅
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ V1+1 ≤ 0 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l4->l1
t₁₄₇
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₄₈
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₄₉
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₅₀
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l4
t₁₄₆
η (X₂) = 1+X₂
η (X₄) = X₆
η (X₆) = O1
τ = X₂+1 ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l5
t₁₅₁
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = C2
η (X₂₀) = X₄
η (X₂₂) = B2
η (X₂₄) = X₄
η (X₃₇) = G2
η (X₃₉) = Y1
τ = 2 ≤ I2 ∧ I2 ≤ Q1 ∧ 2 ≤ D2 ∧ D2 ≤ Q1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ O1 ≤ Q1 ∧ 2 ≤ O1 ∧ 0 ≤ Q1 ∧ X₄ ≤ X₂₀ ∧ X₂₀ ≤ X₄ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
MPRF for transition t₁₂₉: l1(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l1(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₂, X₂₂, P1, 1+X₃₀, X₃₁-1, X₃₇, X₃₉) :|: T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂ of depth 1:
new bound:
8⋅X₃₁+4 {O(n)}
MPRF:
l1 [X₃₁+1 ]
Show Graph
G
l0
l0
l4
l4
l0->l4
t₁₂₃
η (X₀) = P1
η (X₂) = 2
η (X₄) = R1
η (X₆) = Q1
η (X₂₀) = S1
τ = 2 ≤ P1
l5
l5
l0->l5
t₁₂₄
η (X₀) = S1
η (X₂) = T1
η (X₄) = Q1
η (X₆) = Z1
η (X₁₄) = X1
η (X₂₂) = C2
η (X₂₄) = X₂₀
η (X₃₇) = H2
η (X₃₉) = G2
τ = D2 ≤ 0 ∧ E2 ≤ 0 ∧ P1 ≤ 0 ∧ F2 ≤ 0
l0->l5
t₁₂₅
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = C2
η (X₂₀) = X₆
η (X₂₂) = B2
η (X₂₄) = X₆
η (X₃₇) = G2
η (X₃₉) = Y1
l1
l1
l1->l1
t₁₂₆
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₇
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₈
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₉
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₀
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₁
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₂
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₃
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l2
l2
l1->l2
t₁₃₄
η (X₁₄) = R1
η (X₂₂) = S1
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₄+1 ≤ X₂₀ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l2
t₁₃₅
η (X₁₄) = R1
η (X₂₂) = S1
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₀+1 ≤ X₂₄ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l2->l2
t₁₃₆
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₇
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₈
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₉
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₀
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₁
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₂
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₃
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l5
t₁₄₄
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ 1 ≤ V1 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l5
t₁₄₅
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ V1+1 ≤ 0 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l4->l1
t₁₄₇
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₄₈
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₄₉
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₅₀
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l4
t₁₄₆
η (X₂) = 1+X₂
η (X₄) = X₆
η (X₆) = O1
τ = X₂+1 ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l5
t₁₅₁
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = C2
η (X₂₀) = X₄
η (X₂₂) = B2
η (X₂₄) = X₄
η (X₃₇) = G2
η (X₃₉) = Y1
τ = 2 ≤ I2 ∧ I2 ≤ Q1 ∧ 2 ≤ D2 ∧ D2 ≤ Q1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ O1 ≤ Q1 ∧ 2 ≤ O1 ∧ 0 ≤ Q1 ∧ X₄ ≤ X₂₀ ∧ X₂₀ ≤ X₄ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
MPRF for transition t₁₃₀: l1(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l1(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₂, X₂₂, P1, 1+X₃₀, X₃₁-1, X₃₇, X₃₉) :|: Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂ of depth 1:
new bound:
8⋅X₃₁+4 {O(n)}
MPRF:
l1 [X₃₁+1 ]
Show Graph
G
l0
l0
l4
l4
l0->l4
t₁₂₃
η (X₀) = P1
η (X₂) = 2
η (X₄) = R1
η (X₆) = Q1
η (X₂₀) = S1
τ = 2 ≤ P1
l5
l5
l0->l5
t₁₂₄
η (X₀) = S1
η (X₂) = T1
η (X₄) = Q1
η (X₆) = Z1
η (X₁₄) = X1
η (X₂₂) = C2
η (X₂₄) = X₂₀
η (X₃₇) = H2
η (X₃₉) = G2
τ = D2 ≤ 0 ∧ E2 ≤ 0 ∧ P1 ≤ 0 ∧ F2 ≤ 0
l0->l5
t₁₂₅
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = C2
η (X₂₀) = X₆
η (X₂₂) = B2
η (X₂₄) = X₆
η (X₃₇) = G2
η (X₃₉) = Y1
l1
l1
l1->l1
t₁₂₆
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₇
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₈
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₉
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₀
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₁
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₂
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₃
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l2
l2
l1->l2
t₁₃₄
η (X₁₄) = R1
η (X₂₂) = S1
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₄+1 ≤ X₂₀ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l2
t₁₃₅
η (X₁₄) = R1
η (X₂₂) = S1
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₀+1 ≤ X₂₄ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l2->l2
t₁₃₆
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₇
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₈
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₉
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₀
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₁
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₂
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₃
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l5
t₁₄₄
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ 1 ≤ V1 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l5
t₁₄₅
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ V1+1 ≤ 0 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l4->l1
t₁₄₇
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₄₈
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₄₉
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₅₀
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l4
t₁₄₆
η (X₂) = 1+X₂
η (X₄) = X₆
η (X₆) = O1
τ = X₂+1 ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l5
t₁₅₁
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = C2
η (X₂₀) = X₄
η (X₂₂) = B2
η (X₂₄) = X₄
η (X₃₇) = G2
η (X₃₉) = Y1
τ = 2 ≤ I2 ∧ I2 ≤ Q1 ∧ 2 ≤ D2 ∧ D2 ≤ Q1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ O1 ≤ Q1 ∧ 2 ≤ O1 ∧ 0 ≤ Q1 ∧ X₄ ≤ X₂₀ ∧ X₂₀ ≤ X₄ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
MPRF for transition t₁₃₁: l1(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l1(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₂, X₂₂, P1, 1+X₃₀, X₃₁-1, X₃₇, X₃₉) :|: Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂ of depth 1:
new bound:
8⋅X₃₁+4 {O(n)}
MPRF:
l1 [X₃₁+1 ]
Show Graph
G
l0
l0
l4
l4
l0->l4
t₁₂₃
η (X₀) = P1
η (X₂) = 2
η (X₄) = R1
η (X₆) = Q1
η (X₂₀) = S1
τ = 2 ≤ P1
l5
l5
l0->l5
t₁₂₄
η (X₀) = S1
η (X₂) = T1
η (X₄) = Q1
η (X₆) = Z1
η (X₁₄) = X1
η (X₂₂) = C2
η (X₂₄) = X₂₀
η (X₃₇) = H2
η (X₃₉) = G2
τ = D2 ≤ 0 ∧ E2 ≤ 0 ∧ P1 ≤ 0 ∧ F2 ≤ 0
l0->l5
t₁₂₅
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = C2
η (X₂₀) = X₆
η (X₂₂) = B2
η (X₂₄) = X₆
η (X₃₇) = G2
η (X₃₉) = Y1
l1
l1
l1->l1
t₁₂₆
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₇
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₈
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₉
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₀
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₁
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₂
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₃
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l2
l2
l1->l2
t₁₃₄
η (X₁₄) = R1
η (X₂₂) = S1
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₄+1 ≤ X₂₀ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l2
t₁₃₅
η (X₁₄) = R1
η (X₂₂) = S1
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₀+1 ≤ X₂₄ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l2->l2
t₁₃₆
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₇
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₈
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₉
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₀
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₁
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₂
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₃
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l5
t₁₄₄
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ 1 ≤ V1 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l5
t₁₄₅
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ V1+1 ≤ 0 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l4->l1
t₁₄₇
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₄₈
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₄₉
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₅₀
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l4
t₁₄₆
η (X₂) = 1+X₂
η (X₄) = X₆
η (X₆) = O1
τ = X₂+1 ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l5
t₁₅₁
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = C2
η (X₂₀) = X₄
η (X₂₂) = B2
η (X₂₄) = X₄
η (X₃₇) = G2
η (X₃₉) = Y1
τ = 2 ≤ I2 ∧ I2 ≤ Q1 ∧ 2 ≤ D2 ∧ D2 ≤ Q1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ O1 ≤ Q1 ∧ 2 ≤ O1 ∧ 0 ≤ Q1 ∧ X₄ ≤ X₂₀ ∧ X₂₀ ≤ X₄ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
MPRF for transition t₁₃₂: l1(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l1(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₂, X₂₂, P1, 1+X₃₀, X₃₁-1, X₃₇, X₃₉) :|: Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂ of depth 1:
new bound:
8⋅X₃₁+4 {O(n)}
MPRF:
l1 [X₃₁+1 ]
Show Graph
G
l0
l0
l4
l4
l0->l4
t₁₂₃
η (X₀) = P1
η (X₂) = 2
η (X₄) = R1
η (X₆) = Q1
η (X₂₀) = S1
τ = 2 ≤ P1
l5
l5
l0->l5
t₁₂₄
η (X₀) = S1
η (X₂) = T1
η (X₄) = Q1
η (X₆) = Z1
η (X₁₄) = X1
η (X₂₂) = C2
η (X₂₄) = X₂₀
η (X₃₇) = H2
η (X₃₉) = G2
τ = D2 ≤ 0 ∧ E2 ≤ 0 ∧ P1 ≤ 0 ∧ F2 ≤ 0
l0->l5
t₁₂₅
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = C2
η (X₂₀) = X₆
η (X₂₂) = B2
η (X₂₄) = X₆
η (X₃₇) = G2
η (X₃₉) = Y1
l1
l1
l1->l1
t₁₂₆
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₇
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₈
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₉
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₀
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₁
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₂
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₃
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l2
l2
l1->l2
t₁₃₄
η (X₁₄) = R1
η (X₂₂) = S1
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₄+1 ≤ X₂₀ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l2
t₁₃₅
η (X₁₄) = R1
η (X₂₂) = S1
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₀+1 ≤ X₂₄ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l2->l2
t₁₃₆
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₇
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₈
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₉
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₀
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₁
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₂
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₃
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l5
t₁₄₄
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ 1 ≤ V1 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l5
t₁₄₅
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ V1+1 ≤ 0 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l4->l1
t₁₄₇
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₄₈
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₄₉
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₅₀
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l4
t₁₄₆
η (X₂) = 1+X₂
η (X₄) = X₆
η (X₆) = O1
τ = X₂+1 ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l5
t₁₅₁
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = C2
η (X₂₀) = X₄
η (X₂₂) = B2
η (X₂₄) = X₄
η (X₃₇) = G2
η (X₃₉) = Y1
τ = 2 ≤ I2 ∧ I2 ≤ Q1 ∧ 2 ≤ D2 ∧ D2 ≤ Q1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ O1 ≤ Q1 ∧ 2 ≤ O1 ∧ 0 ≤ Q1 ∧ X₄ ≤ X₂₀ ∧ X₂₀ ≤ X₄ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
MPRF for transition t₁₃₃: l1(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l1(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₂, X₂₂, P1, 1+X₃₀, X₃₁-1, X₃₇, X₃₉) :|: Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂ of depth 1:
new bound:
8⋅X₃₁+4 {O(n)}
MPRF:
l1 [X₃₁+1 ]
Show Graph
G
l0
l0
l4
l4
l0->l4
t₁₂₃
η (X₀) = P1
η (X₂) = 2
η (X₄) = R1
η (X₆) = Q1
η (X₂₀) = S1
τ = 2 ≤ P1
l5
l5
l0->l5
t₁₂₄
η (X₀) = S1
η (X₂) = T1
η (X₄) = Q1
η (X₆) = Z1
η (X₁₄) = X1
η (X₂₂) = C2
η (X₂₄) = X₂₀
η (X₃₇) = H2
η (X₃₉) = G2
τ = D2 ≤ 0 ∧ E2 ≤ 0 ∧ P1 ≤ 0 ∧ F2 ≤ 0
l0->l5
t₁₂₅
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = C2
η (X₂₀) = X₆
η (X₂₂) = B2
η (X₂₄) = X₆
η (X₃₇) = G2
η (X₃₉) = Y1
l1
l1
l1->l1
t₁₂₆
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₇
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₈
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₉
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₀
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₁
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₂
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₃
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l2
l2
l1->l2
t₁₃₄
η (X₁₄) = R1
η (X₂₂) = S1
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₄+1 ≤ X₂₀ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l2
t₁₃₅
η (X₁₄) = R1
η (X₂₂) = S1
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₀+1 ≤ X₂₄ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l2->l2
t₁₃₆
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₇
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₈
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₉
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₀
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₁
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₂
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₃
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l5
t₁₄₄
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ 1 ≤ V1 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l5
t₁₄₅
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ V1+1 ≤ 0 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l4->l1
t₁₄₇
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₄₈
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₄₉
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₅₀
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l4
t₁₄₆
η (X₂) = 1+X₂
η (X₄) = X₆
η (X₆) = O1
τ = X₂+1 ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l5
t₁₅₁
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = C2
η (X₂₀) = X₄
η (X₂₂) = B2
η (X₂₄) = X₄
η (X₃₇) = G2
η (X₃₉) = Y1
τ = 2 ≤ I2 ∧ I2 ≤ Q1 ∧ 2 ≤ D2 ∧ D2 ≤ Q1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ O1 ≤ Q1 ∧ 2 ≤ O1 ∧ 0 ≤ Q1 ∧ X₄ ≤ X₂₀ ∧ X₂₀ ≤ X₄ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
MPRF for transition t₁₃₆: l2(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l2(X₀, X₂, X₄, X₆, X₃₁+X₇-1, X₁₄, X₃₉, X₂₂, P1, X₃₀, 0, X₃₇, X₃₉) :|: X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂ of depth 1:
new bound:
1024⋅X₃₁+1024⋅X₇+18 {O(n)}
MPRF:
l2 [X₇+X₃₁+1 ]
Show Graph
G
l0
l0
l4
l4
l0->l4
t₁₂₃
η (X₀) = P1
η (X₂) = 2
η (X₄) = R1
η (X₆) = Q1
η (X₂₀) = S1
τ = 2 ≤ P1
l5
l5
l0->l5
t₁₂₄
η (X₀) = S1
η (X₂) = T1
η (X₄) = Q1
η (X₆) = Z1
η (X₁₄) = X1
η (X₂₂) = C2
η (X₂₄) = X₂₀
η (X₃₇) = H2
η (X₃₉) = G2
τ = D2 ≤ 0 ∧ E2 ≤ 0 ∧ P1 ≤ 0 ∧ F2 ≤ 0
l0->l5
t₁₂₅
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = C2
η (X₂₀) = X₆
η (X₂₂) = B2
η (X₂₄) = X₆
η (X₃₇) = G2
η (X₃₉) = Y1
l1
l1
l1->l1
t₁₂₆
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₇
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₈
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₉
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₀
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₁
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₂
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₃
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l2
l2
l1->l2
t₁₃₄
η (X₁₄) = R1
η (X₂₂) = S1
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₄+1 ≤ X₂₀ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l2
t₁₃₅
η (X₁₄) = R1
η (X₂₂) = S1
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₀+1 ≤ X₂₄ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l2->l2
t₁₃₆
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₇
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₈
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₉
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₀
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₁
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₂
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₃
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l5
t₁₄₄
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ 1 ≤ V1 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l5
t₁₄₅
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ V1+1 ≤ 0 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l4->l1
t₁₄₇
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₄₈
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₄₉
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₅₀
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l4
t₁₄₆
η (X₂) = 1+X₂
η (X₄) = X₆
η (X₆) = O1
τ = X₂+1 ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l5
t₁₅₁
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = C2
η (X₂₀) = X₄
η (X₂₂) = B2
η (X₂₄) = X₄
η (X₃₇) = G2
η (X₃₉) = Y1
τ = 2 ≤ I2 ∧ I2 ≤ Q1 ∧ 2 ≤ D2 ∧ D2 ≤ Q1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ O1 ≤ Q1 ∧ 2 ≤ O1 ∧ 0 ≤ Q1 ∧ X₄ ≤ X₂₀ ∧ X₂₀ ≤ X₄ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
MPRF for transition t₁₃₇: l2(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l2(X₀, X₂, X₄, X₆, X₃₁+X₇-1, X₁₄, X₃₉, X₂₂, P1, X₃₀, 0, X₃₇, X₃₉) :|: X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂ of depth 1:
new bound:
1024⋅X₃₁+1024⋅X₇+18 {O(n)}
MPRF:
l2 [X₇+X₃₁+1 ]
Show Graph
G
l0
l0
l4
l4
l0->l4
t₁₂₃
η (X₀) = P1
η (X₂) = 2
η (X₄) = R1
η (X₆) = Q1
η (X₂₀) = S1
τ = 2 ≤ P1
l5
l5
l0->l5
t₁₂₄
η (X₀) = S1
η (X₂) = T1
η (X₄) = Q1
η (X₆) = Z1
η (X₁₄) = X1
η (X₂₂) = C2
η (X₂₄) = X₂₀
η (X₃₇) = H2
η (X₃₉) = G2
τ = D2 ≤ 0 ∧ E2 ≤ 0 ∧ P1 ≤ 0 ∧ F2 ≤ 0
l0->l5
t₁₂₅
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = C2
η (X₂₀) = X₆
η (X₂₂) = B2
η (X₂₄) = X₆
η (X₃₇) = G2
η (X₃₉) = Y1
l1
l1
l1->l1
t₁₂₆
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₇
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₈
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₉
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₀
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₁
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₂
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₃
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l2
l2
l1->l2
t₁₃₄
η (X₁₄) = R1
η (X₂₂) = S1
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₄+1 ≤ X₂₀ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l2
t₁₃₅
η (X₁₄) = R1
η (X₂₂) = S1
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₀+1 ≤ X₂₄ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l2->l2
t₁₃₆
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₇
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₈
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₉
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₀
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₁
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₂
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₃
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l5
t₁₄₄
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ 1 ≤ V1 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l5
t₁₄₅
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ V1+1 ≤ 0 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l4->l1
t₁₄₇
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₄₈
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₄₉
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₅₀
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l4
t₁₄₆
η (X₂) = 1+X₂
η (X₄) = X₆
η (X₆) = O1
τ = X₂+1 ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l5
t₁₅₁
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = C2
η (X₂₀) = X₄
η (X₂₂) = B2
η (X₂₄) = X₄
η (X₃₇) = G2
η (X₃₉) = Y1
τ = 2 ≤ I2 ∧ I2 ≤ Q1 ∧ 2 ≤ D2 ∧ D2 ≤ Q1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ O1 ≤ Q1 ∧ 2 ≤ O1 ∧ 0 ≤ Q1 ∧ X₄ ≤ X₂₀ ∧ X₂₀ ≤ X₄ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
MPRF for transition t₁₃₈: l2(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l2(X₀, X₂, X₄, X₆, X₃₁+X₇-1, X₁₄, X₃₉, X₂₂, P1, X₃₀, 0, X₃₇, X₃₉) :|: X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂ of depth 1:
new bound:
1024⋅X₃₁+1024⋅X₇+18 {O(n)}
MPRF:
l2 [X₇+X₃₁+1 ]
Show Graph
G
l0
l0
l4
l4
l0->l4
t₁₂₃
η (X₀) = P1
η (X₂) = 2
η (X₄) = R1
η (X₆) = Q1
η (X₂₀) = S1
τ = 2 ≤ P1
l5
l5
l0->l5
t₁₂₄
η (X₀) = S1
η (X₂) = T1
η (X₄) = Q1
η (X₆) = Z1
η (X₁₄) = X1
η (X₂₂) = C2
η (X₂₄) = X₂₀
η (X₃₇) = H2
η (X₃₉) = G2
τ = D2 ≤ 0 ∧ E2 ≤ 0 ∧ P1 ≤ 0 ∧ F2 ≤ 0
l0->l5
t₁₂₅
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = C2
η (X₂₀) = X₆
η (X₂₂) = B2
η (X₂₄) = X₆
η (X₃₇) = G2
η (X₃₉) = Y1
l1
l1
l1->l1
t₁₂₆
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₇
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₈
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₉
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₀
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₁
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₂
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₃
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l2
l2
l1->l2
t₁₃₄
η (X₁₄) = R1
η (X₂₂) = S1
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₄+1 ≤ X₂₀ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l2
t₁₃₅
η (X₁₄) = R1
η (X₂₂) = S1
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₀+1 ≤ X₂₄ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l2->l2
t₁₃₆
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₇
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₈
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₉
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₀
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₁
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₂
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₃
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l5
t₁₄₄
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ 1 ≤ V1 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l5
t₁₄₅
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ V1+1 ≤ 0 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l4->l1
t₁₄₇
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₄₈
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₄₉
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₅₀
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l4
t₁₄₆
η (X₂) = 1+X₂
η (X₄) = X₆
η (X₆) = O1
τ = X₂+1 ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l5
t₁₅₁
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = C2
η (X₂₀) = X₄
η (X₂₂) = B2
η (X₂₄) = X₄
η (X₃₇) = G2
η (X₃₉) = Y1
τ = 2 ≤ I2 ∧ I2 ≤ Q1 ∧ 2 ≤ D2 ∧ D2 ≤ Q1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ O1 ≤ Q1 ∧ 2 ≤ O1 ∧ 0 ≤ Q1 ∧ X₄ ≤ X₂₀ ∧ X₂₀ ≤ X₄ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
MPRF for transition t₁₃₉: l2(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l2(X₀, X₂, X₄, X₆, X₃₁+X₇-1, X₁₄, X₃₉, X₂₂, P1, X₃₀, 0, X₃₇, X₃₉) :|: X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂ of depth 1:
new bound:
1024⋅X₃₁+1024⋅X₇+18 {O(n)}
MPRF:
l2 [X₇+X₃₁+1 ]
Show Graph
G
l0
l0
l4
l4
l0->l4
t₁₂₃
η (X₀) = P1
η (X₂) = 2
η (X₄) = R1
η (X₆) = Q1
η (X₂₀) = S1
τ = 2 ≤ P1
l5
l5
l0->l5
t₁₂₄
η (X₀) = S1
η (X₂) = T1
η (X₄) = Q1
η (X₆) = Z1
η (X₁₄) = X1
η (X₂₂) = C2
η (X₂₄) = X₂₀
η (X₃₇) = H2
η (X₃₉) = G2
τ = D2 ≤ 0 ∧ E2 ≤ 0 ∧ P1 ≤ 0 ∧ F2 ≤ 0
l0->l5
t₁₂₅
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = C2
η (X₂₀) = X₆
η (X₂₂) = B2
η (X₂₄) = X₆
η (X₃₇) = G2
η (X₃₉) = Y1
l1
l1
l1->l1
t₁₂₆
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₇
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₈
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₉
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₀
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₁
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₂
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₃
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l2
l2
l1->l2
t₁₃₄
η (X₁₄) = R1
η (X₂₂) = S1
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₄+1 ≤ X₂₀ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l2
t₁₃₅
η (X₁₄) = R1
η (X₂₂) = S1
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₀+1 ≤ X₂₄ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l2->l2
t₁₃₆
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₇
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₈
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₉
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₀
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₁
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₂
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₃
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l5
t₁₄₄
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ 1 ≤ V1 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l5
t₁₄₅
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ V1+1 ≤ 0 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l4->l1
t₁₄₇
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₄₈
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₄₉
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₅₀
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l4
t₁₄₆
η (X₂) = 1+X₂
η (X₄) = X₆
η (X₆) = O1
τ = X₂+1 ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l5
t₁₅₁
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = C2
η (X₂₀) = X₄
η (X₂₂) = B2
η (X₂₄) = X₄
η (X₃₇) = G2
η (X₃₉) = Y1
τ = 2 ≤ I2 ∧ I2 ≤ Q1 ∧ 2 ≤ D2 ∧ D2 ≤ Q1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ O1 ≤ Q1 ∧ 2 ≤ O1 ∧ 0 ≤ Q1 ∧ X₄ ≤ X₂₀ ∧ X₂₀ ≤ X₄ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
MPRF for transition t₁₄₀: l2(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l2(X₀, X₂, X₄, X₆, X₃₁+X₇-1, X₁₄, X₃₉, X₂₂, P1, X₃₀, 0, X₃₇, X₃₉) :|: R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂ of depth 1:
new bound:
1024⋅X₃₁+1024⋅X₇+18 {O(n)}
MPRF:
l2 [X₇+X₃₁+1 ]
Show Graph
G
l0
l0
l4
l4
l0->l4
t₁₂₃
η (X₀) = P1
η (X₂) = 2
η (X₄) = R1
η (X₆) = Q1
η (X₂₀) = S1
τ = 2 ≤ P1
l5
l5
l0->l5
t₁₂₄
η (X₀) = S1
η (X₂) = T1
η (X₄) = Q1
η (X₆) = Z1
η (X₁₄) = X1
η (X₂₂) = C2
η (X₂₄) = X₂₀
η (X₃₇) = H2
η (X₃₉) = G2
τ = D2 ≤ 0 ∧ E2 ≤ 0 ∧ P1 ≤ 0 ∧ F2 ≤ 0
l0->l5
t₁₂₅
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = C2
η (X₂₀) = X₆
η (X₂₂) = B2
η (X₂₄) = X₆
η (X₃₇) = G2
η (X₃₉) = Y1
l1
l1
l1->l1
t₁₂₆
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₇
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₈
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₉
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₀
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₁
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₂
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₃
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l2
l2
l1->l2
t₁₃₄
η (X₁₄) = R1
η (X₂₂) = S1
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₄+1 ≤ X₂₀ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l2
t₁₃₅
η (X₁₄) = R1
η (X₂₂) = S1
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₀+1 ≤ X₂₄ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l2->l2
t₁₃₆
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₇
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₈
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₉
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₀
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₁
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₂
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₃
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l5
t₁₄₄
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ 1 ≤ V1 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l5
t₁₄₅
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ V1+1 ≤ 0 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l4->l1
t₁₄₇
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₄₈
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₄₉
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₅₀
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l4
t₁₄₆
η (X₂) = 1+X₂
η (X₄) = X₆
η (X₆) = O1
τ = X₂+1 ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l5
t₁₅₁
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = C2
η (X₂₀) = X₄
η (X₂₂) = B2
η (X₂₄) = X₄
η (X₃₇) = G2
η (X₃₉) = Y1
τ = 2 ≤ I2 ∧ I2 ≤ Q1 ∧ 2 ≤ D2 ∧ D2 ≤ Q1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ O1 ≤ Q1 ∧ 2 ≤ O1 ∧ 0 ≤ Q1 ∧ X₄ ≤ X₂₀ ∧ X₂₀ ≤ X₄ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
MPRF for transition t₁₄₁: l2(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l2(X₀, X₂, X₄, X₆, X₃₁+X₇-1, X₁₄, X₃₉, X₂₂, P1, X₃₀, 0, X₃₇, X₃₉) :|: R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂ of depth 1:
new bound:
1024⋅X₃₁+1024⋅X₇+18 {O(n)}
MPRF:
l2 [X₇+X₃₁+1 ]
Show Graph
G
l0
l0
l4
l4
l0->l4
t₁₂₃
η (X₀) = P1
η (X₂) = 2
η (X₄) = R1
η (X₆) = Q1
η (X₂₀) = S1
τ = 2 ≤ P1
l5
l5
l0->l5
t₁₂₄
η (X₀) = S1
η (X₂) = T1
η (X₄) = Q1
η (X₆) = Z1
η (X₁₄) = X1
η (X₂₂) = C2
η (X₂₄) = X₂₀
η (X₃₇) = H2
η (X₃₉) = G2
τ = D2 ≤ 0 ∧ E2 ≤ 0 ∧ P1 ≤ 0 ∧ F2 ≤ 0
l0->l5
t₁₂₅
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = C2
η (X₂₀) = X₆
η (X₂₂) = B2
η (X₂₄) = X₆
η (X₃₇) = G2
η (X₃₉) = Y1
l1
l1
l1->l1
t₁₂₆
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₇
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₈
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₉
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₀
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₁
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₂
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₃
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l2
l2
l1->l2
t₁₃₄
η (X₁₄) = R1
η (X₂₂) = S1
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₄+1 ≤ X₂₀ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l2
t₁₃₅
η (X₁₄) = R1
η (X₂₂) = S1
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₀+1 ≤ X₂₄ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l2->l2
t₁₃₆
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₇
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₈
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₉
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₀
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₁
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₂
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₃
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l5
t₁₄₄
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ 1 ≤ V1 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l5
t₁₄₅
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ V1+1 ≤ 0 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l4->l1
t₁₄₇
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₄₈
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₄₉
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₅₀
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l4
t₁₄₆
η (X₂) = 1+X₂
η (X₄) = X₆
η (X₆) = O1
τ = X₂+1 ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l5
t₁₅₁
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = C2
η (X₂₀) = X₄
η (X₂₂) = B2
η (X₂₄) = X₄
η (X₃₇) = G2
η (X₃₉) = Y1
τ = 2 ≤ I2 ∧ I2 ≤ Q1 ∧ 2 ≤ D2 ∧ D2 ≤ Q1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ O1 ≤ Q1 ∧ 2 ≤ O1 ∧ 0 ≤ Q1 ∧ X₄ ≤ X₂₀ ∧ X₂₀ ≤ X₄ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
MPRF for transition t₁₄₂: l2(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l2(X₀, X₂, X₄, X₆, X₃₁+X₇-1, X₁₄, X₃₉, X₂₂, P1, X₃₀, 0, X₃₇, X₃₉) :|: R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂ of depth 1:
new bound:
1024⋅X₃₁+1024⋅X₇+18 {O(n)}
MPRF:
l2 [X₇+X₃₁+1 ]
Show Graph
G
l0
l0
l4
l4
l0->l4
t₁₂₃
η (X₀) = P1
η (X₂) = 2
η (X₄) = R1
η (X₆) = Q1
η (X₂₀) = S1
τ = 2 ≤ P1
l5
l5
l0->l5
t₁₂₄
η (X₀) = S1
η (X₂) = T1
η (X₄) = Q1
η (X₆) = Z1
η (X₁₄) = X1
η (X₂₂) = C2
η (X₂₄) = X₂₀
η (X₃₇) = H2
η (X₃₉) = G2
τ = D2 ≤ 0 ∧ E2 ≤ 0 ∧ P1 ≤ 0 ∧ F2 ≤ 0
l0->l5
t₁₂₅
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = C2
η (X₂₀) = X₆
η (X₂₂) = B2
η (X₂₄) = X₆
η (X₃₇) = G2
η (X₃₉) = Y1
l1
l1
l1->l1
t₁₂₆
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₇
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₈
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₉
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₀
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₁
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₂
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₃
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l2
l2
l1->l2
t₁₃₄
η (X₁₄) = R1
η (X₂₂) = S1
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₄+1 ≤ X₂₀ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l2
t₁₃₅
η (X₁₄) = R1
η (X₂₂) = S1
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₀+1 ≤ X₂₄ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l2->l2
t₁₃₆
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₇
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₈
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₉
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₀
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₁
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₂
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₃
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l5
t₁₄₄
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ 1 ≤ V1 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l5
t₁₄₅
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ V1+1 ≤ 0 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l4->l1
t₁₄₇
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₄₈
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₄₉
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₅₀
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l4
t₁₄₆
η (X₂) = 1+X₂
η (X₄) = X₆
η (X₆) = O1
τ = X₂+1 ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l5
t₁₅₁
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = C2
η (X₂₀) = X₄
η (X₂₂) = B2
η (X₂₄) = X₄
η (X₃₇) = G2
η (X₃₉) = Y1
τ = 2 ≤ I2 ∧ I2 ≤ Q1 ∧ 2 ≤ D2 ∧ D2 ≤ Q1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ O1 ≤ Q1 ∧ 2 ≤ O1 ∧ 0 ≤ Q1 ∧ X₄ ≤ X₂₀ ∧ X₂₀ ≤ X₄ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
MPRF for transition t₁₄₃: l2(X₀, X₂, X₄, X₆, X₇, X₁₄, X₂₀, X₂₂, X₂₄, X₃₀, X₃₁, X₃₇, X₃₉) → l2(X₀, X₂, X₄, X₆, X₃₁+X₇-1, X₁₄, X₃₉, X₂₂, P1, X₃₀, 0, X₃₇, X₃₉) :|: R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂ of depth 1:
new bound:
1024⋅X₃₁+1024⋅X₇+18 {O(n)}
MPRF:
l2 [X₇+X₃₁+1 ]
Show Graph
G
l0
l0
l4
l4
l0->l4
t₁₂₃
η (X₀) = P1
η (X₂) = 2
η (X₄) = R1
η (X₆) = Q1
η (X₂₀) = S1
τ = 2 ≤ P1
l5
l5
l0->l5
t₁₂₄
η (X₀) = S1
η (X₂) = T1
η (X₄) = Q1
η (X₆) = Z1
η (X₁₄) = X1
η (X₂₂) = C2
η (X₂₄) = X₂₀
η (X₃₇) = H2
η (X₃₉) = G2
τ = D2 ≤ 0 ∧ E2 ≤ 0 ∧ P1 ≤ 0 ∧ F2 ≤ 0
l0->l5
t₁₂₅
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = C2
η (X₂₀) = X₆
η (X₂₂) = B2
η (X₂₄) = X₆
η (X₃₇) = G2
η (X₃₉) = Y1
l1
l1
l1->l1
t₁₂₆
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₇
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₈
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₂₉
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = T1+1 ≤ Q1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₀
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₁
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ R1+1 ≤ Q1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₂
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ Q1+1 ≤ P1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l1
t₁₃₃
η (X₂₀) = X₂₂
η (X₂₄) = P1
η (X₃₀) = 1+X₃₀
η (X₃₁) = X₃₁-1
τ = Q1+1 ≤ T1 ∧ Q1+1 ≤ R1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ P1+1 ≤ Q1 ∧ 2 ≤ O1 ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l2
l2
l1->l2
t₁₃₄
η (X₁₄) = R1
η (X₂₂) = S1
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₄+1 ≤ X₂₀ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l1->l2
t₁₃₅
η (X₁₄) = R1
η (X₂₂) = S1
η (X₃₀) = 1+X₇-X₃₁
η (X₃₇) = X₂₄
η (X₃₉) = X₂₀
τ = 2 ≤ Q1 ∧ X₂₀+1 ≤ X₂₄ ∧ 2 ≤ O1 ∧ 0 ≤ X₃₀ ∧ 0 ≤ X₃₁ ∧ X₂₂ ≤ X₁₄ ∧ X₁₄ ≤ X₂₂ ∧ 1 ≤ X₃₀ ∧ 3 ≤ X₂+X₃₀ ∧ X₂₂ ≤ X₂₀ ∧ X₂₀ ≤ X₂₂ ∧ 2 ≤ X₂
l2->l2
t₁₃₆
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₇
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₈
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₃₉
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = X₃₇+1 ≤ R1 ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₀
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₁
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ P1+1 ≤ X₃₉ ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₂
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ R1+1 ≤ P1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l2
t₁₄₃
η (X₇) = X₃₁+X₇-1
η (X₂₀) = X₃₉
η (X₂₄) = P1
η (X₃₁) = 0
τ = R1+1 ≤ X₃₇ ∧ 0 ≤ X₇ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₉+1 ≤ P1 ∧ P1+1 ≤ R1 ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l5
t₁₄₄
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ 1 ≤ V1 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l2->l5
t₁₄₅
η (X₃₇) = Q1
η (X₃₉) = R1
τ = 0 ≤ X₇ ∧ 0 ≤ X₃₁ ∧ V1+1 ≤ 0 ∧ 2 ≤ O1 ∧ X₃₉ ≤ X₃₇ ∧ X₃₇ ≤ X₃₉ ∧ X₃₉ ≤ X₂₀ ∧ X₂₀ ≤ X₃₉ ∧ 0 ≤ X₃₁ ∧ 2 ≤ X₂+X₃₁ ∧ 2 ≤ X₂
l4->l1
t₁₄₇
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₄₈
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ X₂₀+1 ≤ Z1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₄₉
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₄+1 ≤ X₂₀ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l1
t₁₅₀
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = X₄
η (X₂₂) = X₂₀
η (X₂₄) = Z1
η (X₃₀) = 1
τ = O1 ≤ X1 ∧ 2 ≤ Y1 ∧ Y1 ≤ Q1 ∧ Z1+1 ≤ X₂₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂₀+1 ≤ X₄ ∧ 0 ≤ Q1 ∧ 2 ≤ O1 ∧ X₃₀ ≤ 1 ∧ 1 ≤ X₃₀ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l4
t₁₄₆
η (X₂) = 1+X₂
η (X₄) = X₆
η (X₆) = O1
τ = X₂+1 ≤ X₀ ∧ 0 ≤ X₂ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
l4->l5
t₁₅₁
η (X₀) = P1
η (X₂) = Q1
η (X₄) = R1
η (X₆) = A2
η (X₁₄) = C2
η (X₂₀) = X₄
η (X₂₂) = B2
η (X₂₄) = X₄
η (X₃₇) = G2
η (X₃₉) = Y1
τ = 2 ≤ I2 ∧ I2 ≤ Q1 ∧ 2 ≤ D2 ∧ D2 ≤ Q1 ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂ ∧ O1 ≤ Q1 ∧ 2 ≤ O1 ∧ 0 ≤ Q1 ∧ X₄ ≤ X₂₀ ∧ X₂₀ ≤ X₄ ∧ X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 2 ≤ X₀
All Bounds
Timebounds
Overall timebound:inf {Infinity}
t₁₂₃: 1 {O(1)}
t₁₂₄: 1 {O(1)}
t₁₂₅: 1 {O(1)}
t₁₂₆: 8⋅X₃₁+4 {O(n)}
t₁₂₇: 8⋅X₃₁+4 {O(n)}
t₁₂₈: 8⋅X₃₁+4 {O(n)}
t₁₂₉: 8⋅X₃₁+4 {O(n)}
t₁₃₀: 8⋅X₃₁+4 {O(n)}
t₁₃₁: 8⋅X₃₁+4 {O(n)}
t₁₃₂: 8⋅X₃₁+4 {O(n)}
t₁₃₃: 8⋅X₃₁+4 {O(n)}
t₁₃₄: 1 {O(1)}
t₁₃₅: 1 {O(1)}
t₁₃₆: 1024⋅X₃₁+1024⋅X₇+18 {O(n)}
t₁₃₇: 1024⋅X₃₁+1024⋅X₇+18 {O(n)}
t₁₃₈: 1024⋅X₃₁+1024⋅X₇+18 {O(n)}
t₁₃₉: 1024⋅X₃₁+1024⋅X₇+18 {O(n)}
t₁₄₀: 1024⋅X₃₁+1024⋅X₇+18 {O(n)}
t₁₄₁: 1024⋅X₃₁+1024⋅X₇+18 {O(n)}
t₁₄₂: 1024⋅X₃₁+1024⋅X₇+18 {O(n)}
t₁₄₃: 1024⋅X₃₁+1024⋅X₇+18 {O(n)}
t₁₄₄: 1 {O(1)}
t₁₄₅: 1 {O(1)}
t₁₄₆: inf {Infinity}
t₁₄₇: 1 {O(1)}
t₁₄₈: 1 {O(1)}
t₁₄₉: 1 {O(1)}
t₁₅₀: 1 {O(1)}
t₁₅₁: 1 {O(1)}
Costbounds
Overall costbound: inf {Infinity}
t₁₂₃: 1 {O(1)}
t₁₂₄: 1 {O(1)}
t₁₂₅: 1 {O(1)}
t₁₂₆: 8⋅X₃₁+4 {O(n)}
t₁₂₇: 8⋅X₃₁+4 {O(n)}
t₁₂₈: 8⋅X₃₁+4 {O(n)}
t₁₂₉: 8⋅X₃₁+4 {O(n)}
t₁₃₀: 8⋅X₃₁+4 {O(n)}
t₁₃₁: 8⋅X₃₁+4 {O(n)}
t₁₃₂: 8⋅X₃₁+4 {O(n)}
t₁₃₃: 8⋅X₃₁+4 {O(n)}
t₁₃₄: 1 {O(1)}
t₁₃₅: 1 {O(1)}
t₁₃₆: 1024⋅X₃₁+1024⋅X₇+18 {O(n)}
t₁₃₇: 1024⋅X₃₁+1024⋅X₇+18 {O(n)}
t₁₃₈: 1024⋅X₃₁+1024⋅X₇+18 {O(n)}
t₁₃₉: 1024⋅X₃₁+1024⋅X₇+18 {O(n)}
t₁₄₀: 1024⋅X₃₁+1024⋅X₇+18 {O(n)}
t₁₄₁: 1024⋅X₃₁+1024⋅X₇+18 {O(n)}
t₁₄₂: 1024⋅X₃₁+1024⋅X₇+18 {O(n)}
t₁₄₃: 1024⋅X₃₁+1024⋅X₇+18 {O(n)}
t₁₄₄: 1 {O(1)}
t₁₄₅: 1 {O(1)}
t₁₄₆: inf {Infinity}
t₁₄₇: 1 {O(1)}
t₁₄₈: 1 {O(1)}
t₁₄₉: 1 {O(1)}
t₁₅₀: 1 {O(1)}
t₁₅₁: 1 {O(1)}
Sizebounds
t₁₂₃, X₂: 2 {O(1)}
t₁₂₃, X₇: X₇ {O(n)}
t₁₂₃, X₁₄: X₁₄ {O(n)}
t₁₂₃, X₂₂: X₂₂ {O(n)}
t₁₂₃, X₂₄: X₂₄ {O(n)}
t₁₂₃, X₃₀: X₃₀ {O(n)}
t₁₂₃, X₃₁: X₃₁ {O(n)}
t₁₂₃, X₃₇: X₃₇ {O(n)}
t₁₂₃, X₃₉: X₃₉ {O(n)}
t₁₂₄, X₇: X₇ {O(n)}
t₁₂₄, X₂₀: X₂₀ {O(n)}
t₁₂₄, X₂₄: X₂₀ {O(n)}
t₁₂₄, X₃₀: X₃₀ {O(n)}
t₁₂₄, X₃₁: X₃₁ {O(n)}
t₁₂₅, X₇: X₇ {O(n)}
t₁₂₅, X₂₀: X₆ {O(n)}
t₁₂₅, X₂₄: X₆ {O(n)}
t₁₂₅, X₃₀: X₃₀ {O(n)}
t₁₂₅, X₃₁: X₃₁ {O(n)}
t₁₂₆, X₇: 64⋅X₇ {O(n)}
t₁₂₆, X₃₀: 64⋅X₃₁+64 {O(n)}
t₁₂₆, X₃₁: 64⋅X₃₁+1 {O(n)}
t₁₂₆, X₃₇: 64⋅X₃₇ {O(n)}
t₁₂₆, X₃₉: 64⋅X₃₉ {O(n)}
t₁₂₇, X₇: 64⋅X₇ {O(n)}
t₁₂₇, X₃₀: 64⋅X₃₁+64 {O(n)}
t₁₂₇, X₃₁: 64⋅X₃₁+1 {O(n)}
t₁₂₇, X₃₇: 64⋅X₃₇ {O(n)}
t₁₂₇, X₃₉: 64⋅X₃₉ {O(n)}
t₁₂₈, X₇: 64⋅X₇ {O(n)}
t₁₂₈, X₃₀: 64⋅X₃₁+64 {O(n)}
t₁₂₈, X₃₁: 64⋅X₃₁+1 {O(n)}
t₁₂₈, X₃₇: 64⋅X₃₇ {O(n)}
t₁₂₈, X₃₉: 64⋅X₃₉ {O(n)}
t₁₂₉, X₇: 64⋅X₇ {O(n)}
t₁₂₉, X₃₀: 64⋅X₃₁+64 {O(n)}
t₁₂₉, X₃₁: 64⋅X₃₁+1 {O(n)}
t₁₂₉, X₃₇: 64⋅X₃₇ {O(n)}
t₁₂₉, X₃₉: 64⋅X₃₉ {O(n)}
t₁₃₀, X₇: 64⋅X₇ {O(n)}
t₁₃₀, X₃₀: 64⋅X₃₁+64 {O(n)}
t₁₃₀, X₃₁: 64⋅X₃₁+1 {O(n)}
t₁₃₀, X₃₇: 64⋅X₃₇ {O(n)}
t₁₃₀, X₃₉: 64⋅X₃₉ {O(n)}
t₁₃₁, X₇: 64⋅X₇ {O(n)}
t₁₃₁, X₃₀: 64⋅X₃₁+64 {O(n)}
t₁₃₁, X₃₁: 64⋅X₃₁+1 {O(n)}
t₁₃₁, X₃₇: 64⋅X₃₇ {O(n)}
t₁₃₁, X₃₉: 64⋅X₃₉ {O(n)}
t₁₃₂, X₇: 64⋅X₇ {O(n)}
t₁₃₂, X₃₀: 64⋅X₃₁+64 {O(n)}
t₁₃₂, X₃₁: 64⋅X₃₁+1 {O(n)}
t₁₃₂, X₃₇: 64⋅X₃₇ {O(n)}
t₁₃₂, X₃₉: 64⋅X₃₉ {O(n)}
t₁₃₃, X₇: 64⋅X₇ {O(n)}
t₁₃₃, X₃₀: 64⋅X₃₁+64 {O(n)}
t₁₃₃, X₃₁: 64⋅X₃₁+1 {O(n)}
t₁₃₃, X₃₇: 64⋅X₃₇ {O(n)}
t₁₃₃, X₃₉: 64⋅X₃₉ {O(n)}
t₁₃₄, X₇: 512⋅X₇ {O(n)}
t₁₃₄, X₃₀: 512⋅X₃₁+512⋅X₇+16 {O(n)}
t₁₃₄, X₃₁: 512⋅X₃₁+8 {O(n)}
t₁₃₅, X₇: 512⋅X₇ {O(n)}
t₁₃₅, X₃₀: 512⋅X₃₁+512⋅X₇+16 {O(n)}
t₁₃₅, X₃₁: 512⋅X₃₁+8 {O(n)}
t₁₃₆, X₇: 7340032⋅X₃₁⋅X₃₁+7340032⋅X₃₁⋅X₇+130048⋅X₇+259072⋅X₃₁+2272 {O(n^2)}
t₁₃₆, X₃₀: 7168⋅X₃₁+7168⋅X₇+224 {O(n)}
t₁₃₆, X₃₁: 0 {O(1)}
t₁₃₇, X₇: 7340032⋅X₃₁⋅X₃₁+7340032⋅X₃₁⋅X₇+130048⋅X₇+259072⋅X₃₁+2272 {O(n^2)}
t₁₃₇, X₃₀: 7168⋅X₃₁+7168⋅X₇+224 {O(n)}
t₁₃₇, X₃₁: 0 {O(1)}
t₁₃₈, X₇: 7340032⋅X₃₁⋅X₃₁+7340032⋅X₃₁⋅X₇+130048⋅X₇+259072⋅X₃₁+2272 {O(n^2)}
t₁₃₈, X₃₀: 7168⋅X₃₁+7168⋅X₇+224 {O(n)}
t₁₃₈, X₃₁: 0 {O(1)}
t₁₃₉, X₇: 7340032⋅X₃₁⋅X₃₁+7340032⋅X₃₁⋅X₇+130048⋅X₇+259072⋅X₃₁+2272 {O(n^2)}
t₁₃₉, X₃₀: 7168⋅X₃₁+7168⋅X₇+224 {O(n)}
t₁₃₉, X₃₁: 0 {O(1)}
t₁₄₀, X₇: 7340032⋅X₃₁⋅X₃₁+7340032⋅X₃₁⋅X₇+130048⋅X₇+259072⋅X₃₁+2272 {O(n^2)}
t₁₄₀, X₃₀: 7168⋅X₃₁+7168⋅X₇+224 {O(n)}
t₁₄₀, X₃₁: 0 {O(1)}
t₁₄₁, X₇: 7340032⋅X₃₁⋅X₃₁+7340032⋅X₃₁⋅X₇+130048⋅X₇+259072⋅X₃₁+2272 {O(n^2)}
t₁₄₁, X₃₀: 7168⋅X₃₁+7168⋅X₇+224 {O(n)}
t₁₄₁, X₃₁: 0 {O(1)}
t₁₄₂, X₇: 7340032⋅X₃₁⋅X₃₁+7340032⋅X₃₁⋅X₇+130048⋅X₇+259072⋅X₃₁+2272 {O(n^2)}
t₁₄₂, X₃₀: 7168⋅X₃₁+7168⋅X₇+224 {O(n)}
t₁₄₂, X₃₁: 0 {O(1)}
t₁₄₃, X₇: 7340032⋅X₃₁⋅X₃₁+7340032⋅X₃₁⋅X₇+130048⋅X₇+259072⋅X₃₁+2272 {O(n^2)}
t₁₄₃, X₃₀: 7168⋅X₃₁+7168⋅X₇+224 {O(n)}
t₁₄₃, X₃₁: 0 {O(1)}
t₁₄₄, X₇: 44040192⋅X₃₁⋅X₃₁+44040192⋅X₃₁⋅X₇+1554432⋅X₃₁+780288⋅X₇+13632 {O(n^2)}
t₁₄₄, X₃₀: 43008⋅X₃₁+43008⋅X₇+1344 {O(n)}
t₁₄₄, X₃₁: 0 {O(1)}
t₁₄₅, X₇: 44040192⋅X₃₁⋅X₃₁+44040192⋅X₃₁⋅X₇+1554432⋅X₃₁+780288⋅X₇+13632 {O(n^2)}
t₁₄₅, X₃₀: 43008⋅X₃₁+43008⋅X₇+1344 {O(n)}
t₁₄₅, X₃₁: 0 {O(1)}
t₁₄₆, X₇: X₇ {O(n)}
t₁₄₆, X₁₄: X₁₄ {O(n)}
t₁₄₆, X₂₂: X₂₂ {O(n)}
t₁₄₆, X₂₄: X₂₄ {O(n)}
t₁₄₆, X₃₀: X₃₀ {O(n)}
t₁₄₆, X₃₁: X₃₁ {O(n)}
t₁₄₆, X₃₇: X₃₇ {O(n)}
t₁₄₆, X₃₉: X₃₉ {O(n)}
t₁₄₇, X₇: 2⋅X₇ {O(n)}
t₁₄₇, X₃₀: 1 {O(1)}
t₁₄₇, X₃₁: 2⋅X₃₁ {O(n)}
t₁₄₇, X₃₇: 2⋅X₃₇ {O(n)}
t₁₄₇, X₃₉: 2⋅X₃₉ {O(n)}
t₁₄₈, X₇: 2⋅X₇ {O(n)}
t₁₄₈, X₃₀: 1 {O(1)}
t₁₄₈, X₃₁: 2⋅X₃₁ {O(n)}
t₁₄₈, X₃₇: 2⋅X₃₇ {O(n)}
t₁₄₈, X₃₉: 2⋅X₃₉ {O(n)}
t₁₄₉, X₇: 2⋅X₇ {O(n)}
t₁₄₉, X₃₀: 1 {O(1)}
t₁₄₉, X₃₁: 2⋅X₃₁ {O(n)}
t₁₄₉, X₃₇: 2⋅X₃₇ {O(n)}
t₁₄₉, X₃₉: 2⋅X₃₉ {O(n)}
t₁₅₀, X₇: 2⋅X₇ {O(n)}
t₁₅₀, X₃₀: 1 {O(1)}
t₁₅₀, X₃₁: 2⋅X₃₁ {O(n)}
t₁₅₀, X₃₇: 2⋅X₃₇ {O(n)}
t₁₅₀, X₃₉: 2⋅X₃₉ {O(n)}
t₁₅₁, X₇: 2⋅X₇ {O(n)}
t₁₅₁, X₃₀: 2⋅X₃₀ {O(n)}
t₁₅₁, X₃₁: 2⋅X₃₁ {O(n)}