Initial Problem
Start: f0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars: H, I
Locations: f0, f58, f66, f69, f80, f86, f90
Transitions:
t₀: f0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f58(5, 16, 0, 0, X₄, X₅, X₆)
t₁: f58(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f58(X₀, X₁, X₂, 1+X₂, X₄, X₅, X₆) :|: 1+X₃ ≤ X₀ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃
t₂: f58(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f58(X₀, X₁, X₂, 1+X₃, X₄, X₅, X₆) :|: 1+X₃ ≤ X₀ ∧ 1+X₃ ≤ X₂
t₃: f58(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f58(X₀, X₁, X₂, 1+X₃, X₄, X₅, X₆) :|: 1+X₃ ≤ X₀ ∧ 1+X₂ ≤ X₃
t₁₃: f58(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f66(X₀, X₁, X₂, 0, X₄, X₅, X₆) :|: X₀ ≤ X₃
t₄: f66(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f69(X₀, X₁, X₂, X₃, 0, X₅, X₆) :|: 1+X₃ ≤ X₀
t₁₂: f66(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f80(X₀, X₁, X₂, 0, X₄, X₅, X₆) :|: X₀ ≤ X₃
t₁₁: f69(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f66(X₀, X₁, X₂, 1+X₃, X₄, X₅, X₆) :|: X₁ ≤ X₄
t₅: f69(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f69(X₀, X₁, X₂, X₃, 1+X₄, H, I) :|: 1+X₄ ≤ X₁
t₇: f80(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f80(X₀, X₁, X₂, 1+X₃, X₄, H, I) :|: 1+X₃ ≤ X₁
t₆: f80(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f86(X₀, X₁, X₂, X₃, X₄, H, I) :|: 1+X₃ ≤ X₁
t₁₀: f80(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f90(X₀, X₁, X₂, 0, X₄, X₅, X₆) :|: X₁ ≤ X₃
t₉: f90(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f86(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ X₃
t₈: f90(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → f90(X₀, X₁, X₂, 1+X₃, X₄, X₅, X₆) :|: 1+X₃ ≤ X₀
Preprocessing
Cut unsatisfiable transition [t₂: f58→f58]
Eliminate variables [H; I; X₅; X₆] that do not contribute to the problem
Found invariant 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 16 ≤ X₁+X₃ ∧ X₁ ≤ 16+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 16+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 16 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 16 ≤ X₁+X₂ ∧ X₁ ≤ 16+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 16 ∧ X₁ ≤ 11+X₀ ∧ X₀+X₁ ≤ 21 ∧ 16 ≤ X₁ ∧ 21 ≤ X₀+X₁ ∧ 11+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location f80
Found invariant X₃ ≤ 15 ∧ X₃ ≤ 15+X₂ ∧ X₂+X₃ ≤ 15 ∧ 1+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 31 ∧ X₃ ≤ 10+X₀ ∧ X₀+X₃ ≤ 20 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 16 ≤ X₁+X₃ ∧ X₁ ≤ 16+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 16+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 16 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 16 ≤ X₁+X₂ ∧ X₁ ≤ 16+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 16 ∧ X₁ ≤ 11+X₀ ∧ X₀+X₁ ≤ 21 ∧ 16 ≤ X₁ ∧ 21 ≤ X₀+X₁ ∧ 11+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location f86
Found invariant 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ X₃ ≤ 4+X₄ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 16 ≤ X₁+X₄ ∧ X₁ ≤ 16+X₄ ∧ 5 ≤ X₀+X₄ ∧ X₀ ≤ 5+X₄ ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ 12+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 20 ∧ 1+X₃ ≤ X₀ ∧ X₀+X₃ ≤ 9 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 16 ≤ X₁+X₃ ∧ X₁ ≤ 16+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 16+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 16 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 16 ≤ X₁+X₂ ∧ X₁ ≤ 16+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 16 ∧ X₁ ≤ 11+X₀ ∧ X₀+X₁ ≤ 21 ∧ 16 ≤ X₁ ∧ 21 ≤ X₀+X₁ ∧ 11+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location f69
Found invariant X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ 11+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 21 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 16 ≤ X₁+X₃ ∧ X₁ ≤ 16+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 16+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 16 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 16 ≤ X₁+X₂ ∧ X₁ ≤ 16+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 16 ∧ X₁ ≤ 11+X₀ ∧ X₀+X₁ ≤ 21 ∧ 16 ≤ X₁ ∧ 21 ≤ X₀+X₁ ∧ 11+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location f58
Found invariant X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ 11+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 21 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 16 ≤ X₁+X₃ ∧ X₁ ≤ 16+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 16+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 16 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 16 ≤ X₁+X₂ ∧ X₁ ≤ 16+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 16 ∧ X₁ ≤ 11+X₀ ∧ X₀+X₁ ≤ 21 ∧ 16 ≤ X₁ ∧ 21 ≤ X₀+X₁ ∧ 11+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location f90
Found invariant X₃ ≤ 5 ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ 11+X₃ ≤ X₁ ∧ X₁+X₃ ≤ 21 ∧ X₃ ≤ X₀ ∧ X₀+X₃ ≤ 10 ∧ 0 ≤ X₃ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 16 ≤ X₁+X₃ ∧ X₁ ≤ 16+X₃ ∧ 5 ≤ X₀+X₃ ∧ X₀ ≤ 5+X₃ ∧ X₂ ≤ 0 ∧ 16+X₂ ≤ X₁ ∧ X₁+X₂ ≤ 16 ∧ 5+X₂ ≤ X₀ ∧ X₀+X₂ ≤ 5 ∧ 0 ≤ X₂ ∧ 16 ≤ X₁+X₂ ∧ X₁ ≤ 16+X₂ ∧ 5 ≤ X₀+X₂ ∧ X₀ ≤ 5+X₂ ∧ X₁ ≤ 16 ∧ X₁ ≤ 11+X₀ ∧ X₀+X₁ ≤ 21 ∧ 16 ≤ X₁ ∧ 21 ≤ X₀+X₁ ∧ 11+X₀ ≤ X₁ ∧ X₀ ≤ 5 ∧ 5 ≤ X₀ for location f66
Problem after Preprocessing
Start: f0
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars:
Locations: f0, f58, f66, f69, f80, f86, f90
Transitions:
t₃₆: f0(X₀, X₁, X₂, X₃, X₄) → f58(5, 16, 0, 0, X₄)
t₃₇: f58(X₀, X₁, X₂, X₃, X₄) → f58(X₀, X₁, X₂, 1+X₂, X₄) :|: 1+X₃ ≤ X₀ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₀+X₁ ≤ 21 ∧ X₁+X₃ ≤ 21 ∧ X₁ ≤ 16 ∧ X₁ ≤ 16+X₂ ∧ X₁+X₂ ≤ 16 ∧ X₁ ≤ 16+X₃ ∧ X₁ ≤ 11+X₀ ∧ X₀+X₃ ≤ 10 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 11+X₀ ≤ X₁ ∧ 11+X₃ ≤ X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₂ ∧ 16+X₂ ≤ X₁ ∧ 16 ≤ X₁+X₃ ∧ 21 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ 0 ≤ X₃
t₃₈: f58(X₀, X₁, X₂, X₃, X₄) → f58(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₀ ∧ 1+X₂ ≤ X₃ ∧ X₀+X₁ ≤ 21 ∧ X₁+X₃ ≤ 21 ∧ X₁ ≤ 16 ∧ X₁ ≤ 16+X₂ ∧ X₁+X₂ ≤ 16 ∧ X₁ ≤ 16+X₃ ∧ X₁ ≤ 11+X₀ ∧ X₀+X₃ ≤ 10 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 11+X₀ ≤ X₁ ∧ 11+X₃ ≤ X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₂ ∧ 16+X₂ ≤ X₁ ∧ 16 ≤ X₁+X₃ ∧ 21 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₃₉: f58(X₀, X₁, X₂, X₃, X₄) → f66(X₀, X₁, X₂, 0, X₄) :|: X₀ ≤ X₃ ∧ X₀+X₁ ≤ 21 ∧ X₁+X₃ ≤ 21 ∧ X₁ ≤ 16 ∧ X₁ ≤ 16+X₂ ∧ X₁+X₂ ≤ 16 ∧ X₁ ≤ 16+X₃ ∧ X₁ ≤ 11+X₀ ∧ X₀+X₃ ≤ 10 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 11+X₀ ≤ X₁ ∧ 11+X₃ ≤ X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₂ ∧ 16+X₂ ≤ X₁ ∧ 16 ≤ X₁+X₃ ∧ 21 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₀: f66(X₀, X₁, X₂, X₃, X₄) → f69(X₀, X₁, X₂, X₃, 0) :|: 1+X₃ ≤ X₀ ∧ X₀+X₁ ≤ 21 ∧ X₁+X₃ ≤ 21 ∧ X₁ ≤ 16 ∧ X₁ ≤ 16+X₂ ∧ X₁+X₂ ≤ 16 ∧ X₁ ≤ 16+X₃ ∧ X₁ ≤ 11+X₀ ∧ X₀+X₃ ≤ 10 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 11+X₀ ≤ X₁ ∧ 11+X₃ ≤ X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₂ ∧ 16+X₂ ≤ X₁ ∧ 16 ≤ X₁+X₃ ∧ 21 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₁: f66(X₀, X₁, X₂, X₃, X₄) → f80(X₀, X₁, X₂, 0, X₄) :|: X₀ ≤ X₃ ∧ X₀+X₁ ≤ 21 ∧ X₁+X₃ ≤ 21 ∧ X₁ ≤ 16 ∧ X₁ ≤ 16+X₂ ∧ X₁+X₂ ≤ 16 ∧ X₁ ≤ 16+X₃ ∧ X₁ ≤ 11+X₀ ∧ X₀+X₃ ≤ 10 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 11+X₀ ≤ X₁ ∧ 11+X₃ ≤ X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₂ ∧ 16+X₂ ≤ X₁ ∧ 16 ≤ X₁+X₃ ∧ 21 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₂: f69(X₀, X₁, X₂, X₃, X₄) → f66(X₀, X₁, X₂, 1+X₃, X₄) :|: X₁ ≤ X₄ ∧ X₀+X₁ ≤ 21 ∧ X₁+X₃ ≤ 20 ∧ X₁ ≤ 16 ∧ X₁ ≤ 16+X₂ ∧ X₁+X₂ ≤ 16 ∧ X₁ ≤ 16+X₃ ∧ X₁ ≤ 16+X₄ ∧ X₁ ≤ 11+X₀ ∧ X₀+X₃ ≤ 9 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₀ ≤ 5+X₄ ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₄ ∧ 1+X₃ ≤ X₀ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 11+X₀ ≤ X₁ ∧ 12+X₃ ≤ X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₂ ∧ 16+X₂ ≤ X₁ ∧ 16 ≤ X₁+X₃ ∧ 16 ≤ X₁+X₄ ∧ 21 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄
t₄₃: f69(X₀, X₁, X₂, X₃, X₄) → f69(X₀, X₁, X₂, X₃, 1+X₄) :|: 1+X₄ ≤ X₁ ∧ X₀+X₁ ≤ 21 ∧ X₁+X₃ ≤ 20 ∧ X₁ ≤ 16 ∧ X₁ ≤ 16+X₂ ∧ X₁+X₂ ≤ 16 ∧ X₁ ≤ 16+X₃ ∧ X₁ ≤ 16+X₄ ∧ X₁ ≤ 11+X₀ ∧ X₀+X₃ ≤ 9 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₀ ≤ 5+X₄ ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₄ ∧ 1+X₃ ≤ X₀ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 11+X₀ ≤ X₁ ∧ 12+X₃ ≤ X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₂ ∧ 16+X₂ ≤ X₁ ∧ 16 ≤ X₁+X₃ ∧ 16 ≤ X₁+X₄ ∧ 21 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄
t₄₄: f80(X₀, X₁, X₂, X₃, X₄) → f80(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₁ ∧ X₀+X₁ ≤ 21 ∧ X₁ ≤ 16 ∧ X₁ ≤ 16+X₂ ∧ X₁+X₂ ≤ 16 ∧ X₁ ≤ 16+X₃ ∧ X₁ ≤ 11+X₀ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 11+X₀ ≤ X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₂ ∧ 16+X₂ ≤ X₁ ∧ 16 ≤ X₁+X₃ ∧ 21 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₅: f80(X₀, X₁, X₂, X₃, X₄) → f86(X₀, X₁, X₂, X₃, X₄) :|: 1+X₃ ≤ X₁ ∧ X₀+X₁ ≤ 21 ∧ X₁ ≤ 16 ∧ X₁ ≤ 16+X₂ ∧ X₁+X₂ ≤ 16 ∧ X₁ ≤ 16+X₃ ∧ X₁ ≤ 11+X₀ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 11+X₀ ≤ X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₂ ∧ 16+X₂ ≤ X₁ ∧ 16 ≤ X₁+X₃ ∧ 21 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₆: f80(X₀, X₁, X₂, X₃, X₄) → f90(X₀, X₁, X₂, 0, X₄) :|: X₁ ≤ X₃ ∧ X₀+X₁ ≤ 21 ∧ X₁ ≤ 16 ∧ X₁ ≤ 16+X₂ ∧ X₁+X₂ ≤ 16 ∧ X₁ ≤ 16+X₃ ∧ X₁ ≤ 11+X₀ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 11+X₀ ≤ X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₂ ∧ 16+X₂ ≤ X₁ ∧ 16 ≤ X₁+X₃ ∧ 21 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₇: f90(X₀, X₁, X₂, X₃, X₄) → f86(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ X₃ ∧ X₀+X₁ ≤ 21 ∧ X₁+X₃ ≤ 21 ∧ X₁ ≤ 16 ∧ X₁ ≤ 16+X₂ ∧ X₁+X₂ ≤ 16 ∧ X₁ ≤ 16+X₃ ∧ X₁ ≤ 11+X₀ ∧ X₀+X₃ ≤ 10 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 11+X₀ ≤ X₁ ∧ 11+X₃ ≤ X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₂ ∧ 16+X₂ ≤ X₁ ∧ 16 ≤ X₁+X₃ ∧ 21 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄₈: f90(X₀, X₁, X₂, X₃, X₄) → f90(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₀ ∧ X₀+X₁ ≤ 21 ∧ X₁+X₃ ≤ 21 ∧ X₁ ≤ 16 ∧ X₁ ≤ 16+X₂ ∧ X₁+X₂ ≤ 16 ∧ X₁ ≤ 16+X₃ ∧ X₁ ≤ 11+X₀ ∧ X₀+X₃ ≤ 10 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 11+X₀ ≤ X₁ ∧ 11+X₃ ≤ X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₂ ∧ 16+X₂ ≤ X₁ ∧ 16 ≤ X₁+X₃ ∧ 21 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃
knowledge_propagation leads to new time bound 1 {O(1)} for transition t₃₇: f58(X₀, X₁, X₂, X₃, X₄) → f58(X₀, X₁, X₂, 1+X₂, X₄) :|: 1+X₃ ≤ X₀ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₀+X₁ ≤ 21 ∧ X₁+X₃ ≤ 21 ∧ X₁ ≤ 16 ∧ X₁ ≤ 16+X₂ ∧ X₁+X₂ ≤ 16 ∧ X₁ ≤ 16+X₃ ∧ X₁ ≤ 11+X₀ ∧ X₀+X₃ ≤ 10 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 11+X₀ ≤ X₁ ∧ 11+X₃ ≤ X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₂ ∧ 16+X₂ ≤ X₁ ∧ 16 ≤ X₁+X₃ ∧ 21 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ 0 ≤ X₃
MPRF for transition t₃₈: f58(X₀, X₁, X₂, X₃, X₄) → f58(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₀ ∧ 1+X₂ ≤ X₃ ∧ X₀+X₁ ≤ 21 ∧ X₁+X₃ ≤ 21 ∧ X₁ ≤ 16 ∧ X₁ ≤ 16+X₂ ∧ X₁+X₂ ≤ 16 ∧ X₁ ≤ 16+X₃ ∧ X₁ ≤ 11+X₀ ∧ X₀+X₃ ≤ 10 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 11+X₀ ≤ X₁ ∧ 11+X₃ ≤ X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₂ ∧ 16+X₂ ≤ X₁ ∧ 16 ≤ X₁+X₃ ∧ 21 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
6 {O(1)}
MPRF:
• f58: [6-X₃]
MPRF for transition t₄₀: f66(X₀, X₁, X₂, X₃, X₄) → f69(X₀, X₁, X₂, X₃, 0) :|: 1+X₃ ≤ X₀ ∧ X₀+X₁ ≤ 21 ∧ X₁+X₃ ≤ 21 ∧ X₁ ≤ 16 ∧ X₁ ≤ 16+X₂ ∧ X₁+X₂ ≤ 16 ∧ X₁ ≤ 16+X₃ ∧ X₁ ≤ 11+X₀ ∧ X₀+X₃ ≤ 10 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 11+X₀ ≤ X₁ ∧ 11+X₃ ≤ X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₂ ∧ 16+X₂ ≤ X₁ ∧ 16 ≤ X₁+X₃ ∧ 21 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
38 {O(1)}
MPRF:
• f66: [22-X₁-X₃]
• f69: [5+X₂-X₃]
MPRF for transition t₄₂: f69(X₀, X₁, X₂, X₃, X₄) → f66(X₀, X₁, X₂, 1+X₃, X₄) :|: X₁ ≤ X₄ ∧ X₀+X₁ ≤ 21 ∧ X₁+X₃ ≤ 20 ∧ X₁ ≤ 16 ∧ X₁ ≤ 16+X₂ ∧ X₁+X₂ ≤ 16 ∧ X₁ ≤ 16+X₃ ∧ X₁ ≤ 16+X₄ ∧ X₁ ≤ 11+X₀ ∧ X₀+X₃ ≤ 9 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₀ ≤ 5+X₄ ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₄ ∧ 1+X₃ ≤ X₀ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 11+X₀ ≤ X₁ ∧ 12+X₃ ≤ X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₂ ∧ 16+X₂ ≤ X₁ ∧ 16 ≤ X₁+X₃ ∧ 16 ≤ X₁+X₄ ∧ 21 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄ of depth 1:
new bound:
27 {O(1)}
MPRF:
• f66: [X₁-11-X₃]
• f69: [5-X₃]
TWN: t₄₃: f69→f69
cycle: [t₄₃: f69→f69]
original loop: (1+X₄ ≤ X₁ ∧ X₀+X₁ ≤ 21 ∧ X₁+X₃ ≤ 20 ∧ X₁ ≤ 16 ∧ X₁ ≤ 16+X₂ ∧ X₁+X₂ ≤ 16 ∧ X₁ ≤ 16+X₃ ∧ X₁ ≤ 16+X₄ ∧ X₁ ≤ 11+X₀ ∧ X₀+X₃ ≤ 9 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₀ ≤ 5+X₄ ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₄ ∧ 1+X₃ ≤ X₀ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 11+X₀ ≤ X₁ ∧ 12+X₃ ≤ X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₂ ∧ 16+X₂ ≤ X₁ ∧ 16 ≤ X₁+X₃ ∧ 16 ≤ X₁+X₄ ∧ 21 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄,(X₀,X₁,X₂,X₃,X₄) -> (X₀,X₁,X₂,X₃,1+X₄))
transformed loop: (1+X₄ ≤ X₁ ∧ X₀+X₁ ≤ 21 ∧ X₁+X₃ ≤ 20 ∧ X₁ ≤ 16 ∧ X₁ ≤ 16+X₂ ∧ X₁+X₂ ≤ 16 ∧ X₁ ≤ 16+X₃ ∧ X₁ ≤ 16+X₄ ∧ X₁ ≤ 11+X₀ ∧ X₀+X₃ ≤ 9 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₀ ≤ 5+X₄ ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₄ ∧ 1+X₃ ≤ X₀ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 11+X₀ ≤ X₁ ∧ 12+X₃ ≤ X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₂ ∧ 16+X₂ ≤ X₁ ∧ 16 ≤ X₁+X₃ ∧ 16 ≤ X₁+X₄ ∧ 21 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄,(X₀,X₁,X₂,X₃,X₄) -> (X₀,X₁,X₂,X₃,1+X₄))
loop: (1+X₄ ≤ X₁ ∧ X₀+X₁ ≤ 21 ∧ X₁+X₃ ≤ 20 ∧ X₁ ≤ 16 ∧ X₁ ≤ 16+X₂ ∧ X₁+X₂ ≤ 16 ∧ X₁ ≤ 16+X₃ ∧ X₁ ≤ 16+X₄ ∧ X₁ ≤ 11+X₀ ∧ X₀+X₃ ≤ 9 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₀ ≤ 5+X₄ ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₄ ∧ 1+X₃ ≤ X₀ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 11+X₀ ≤ X₁ ∧ 12+X₃ ≤ X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₂ ∧ 16+X₂ ≤ X₁ ∧ 16 ≤ X₁+X₃ ∧ 16 ≤ X₁+X₄ ∧ 21 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄,(X₀,X₁,X₂,X₃,X₄) -> (X₀,X₁,X₂,X₃,1+X₄))
order: [X₄; X₃; X₂; X₁; X₀]
closed-form:X₄: X₄ + [[n != 0]]⋅n^1
X₃: X₃
X₂: X₂
X₁: X₁
X₀: X₀
Termination: true
Formula:
X₀+X₁ ≤ 21 ∧ X₁+X₃ ≤ 20 ∧ X₁ ≤ 16 ∧ X₁ ≤ 16+X₂ ∧ X₁+X₂ ≤ 16 ∧ X₁ ≤ 16+X₃ ∧ X₁ ≤ 16+X₄ ∧ X₁ ≤ 11+X₀ ∧ X₀+X₃ ≤ 9 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₀ ≤ 5+X₄ ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₄ ∧ 0 ≤ 1 ∧ X₁ ≤ 1+X₄ ∧ 1 ≤ 0 ∧ 1+X₃ ≤ X₀ ∧ 1+X₄ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 11+X₀ ≤ X₁ ∧ 12+X₃ ≤ X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₂ ∧ 16+X₂ ≤ X₁ ∧ 16 ≤ X₁+X₃ ∧ 16 ≤ X₁+X₄ ∧ 21 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄
∨ X₀+X₁ ≤ 21 ∧ X₁+X₃ ≤ 20 ∧ X₁ ≤ 16 ∧ X₁ ≤ 16+X₂ ∧ X₁+X₂ ≤ 16 ∧ X₁ ≤ 16+X₃ ∧ X₁ ≤ 16+X₄ ∧ X₁ ≤ 11+X₀ ∧ X₀+X₃ ≤ 9 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₀ ≤ 5+X₄ ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₄ ∧ 0 ≤ 1 ∧ 1 ≤ 0 ∧ 1+X₃ ≤ X₀ ∧ 2+X₄ ≤ X₁ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 11+X₀ ≤ X₁ ∧ 12+X₃ ≤ X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₂ ∧ 16+X₂ ≤ X₁ ∧ 16 ≤ X₁+X₃ ∧ 16 ≤ X₁+X₄ ∧ 21 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄
∨ X₀+X₁ ≤ 21 ∧ X₁+X₃ ≤ 20 ∧ X₁ ≤ 16 ∧ X₁ ≤ 16+X₂ ∧ X₁+X₂ ≤ 16 ∧ X₁ ≤ 16+X₃ ∧ X₁ ≤ 16+X₄ ∧ X₁ ≤ 11+X₀ ∧ X₀+X₃ ≤ 9 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₀ ≤ 5+X₄ ∧ X₃ ≤ 4+X₂ ∧ X₂+X₃ ≤ 4 ∧ X₃ ≤ 4 ∧ X₃ ≤ 4+X₄ ∧ 1 ≤ 0 ∧ 1+X₃ ≤ X₀ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₄ ∧ 11+X₀ ≤ X₁ ∧ 12+X₃ ≤ X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₂ ∧ 16+X₂ ≤ X₁ ∧ 16 ≤ X₁+X₃ ∧ 16 ≤ X₁+X₄ ∧ 21 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ X₂ ≤ X₄ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄
Stabilization-Threshold for: 1+X₄ ≤ X₁
alphas_abs: X₁+X₄
M: 0
N: 1
Bound: 2⋅X₁+2⋅X₄+2 {O(n)}
TWN - Lifting for [43: f69->f69] of 2⋅X₁+2⋅X₄+4 {O(n)}
relevant size-bounds w.r.t. t₄₀: f66→f69:
X₁: 16 {O(1)}
X₄: 0 {O(1)}
Runtime-bound of t₄₀: 38 {O(1)}
Results in: 1368 {O(1)}
MPRF for transition t₄₄: f80(X₀, X₁, X₂, X₃, X₄) → f80(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₁ ∧ X₀+X₁ ≤ 21 ∧ X₁ ≤ 16 ∧ X₁ ≤ 16+X₂ ∧ X₁+X₂ ≤ 16 ∧ X₁ ≤ 16+X₃ ∧ X₁ ≤ 11+X₀ ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 11+X₀ ≤ X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₂ ∧ 16+X₂ ≤ X₁ ∧ 16 ≤ X₁+X₃ ∧ 21 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
16 {O(1)}
MPRF:
• f80: [X₁-X₃]
MPRF for transition t₄₈: f90(X₀, X₁, X₂, X₃, X₄) → f90(X₀, X₁, X₂, 1+X₃, X₄) :|: 1+X₃ ≤ X₀ ∧ X₀+X₁ ≤ 21 ∧ X₁+X₃ ≤ 21 ∧ X₁ ≤ 16 ∧ X₁ ≤ 16+X₂ ∧ X₁+X₂ ≤ 16 ∧ X₁ ≤ 16+X₃ ∧ X₁ ≤ 11+X₀ ∧ X₀+X₃ ≤ 10 ∧ X₀ ≤ 5 ∧ X₀ ≤ 5+X₂ ∧ X₀+X₂ ≤ 5 ∧ X₀ ≤ 5+X₃ ∧ X₃ ≤ 5+X₂ ∧ X₂+X₃ ≤ 5 ∧ X₃ ≤ 5 ∧ 5 ≤ X₀ ∧ 5 ≤ X₀+X₂ ∧ 5+X₂ ≤ X₀ ∧ 5 ≤ X₀+X₃ ∧ 11+X₀ ≤ X₁ ∧ 11+X₃ ≤ X₁ ∧ 16 ≤ X₁ ∧ 16 ≤ X₁+X₂ ∧ 16+X₂ ≤ X₁ ∧ 16 ≤ X₁+X₃ ∧ 21 ≤ X₀+X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₃ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:
new bound:
6 {O(1)}
MPRF:
• f90: [6-X₃]
All Bounds
Timebounds
Overall timebound:1468 {O(1)}
t₃₆: 1 {O(1)}
t₃₇: 1 {O(1)}
t₃₈: 6 {O(1)}
t₃₉: 1 {O(1)}
t₄₀: 38 {O(1)}
t₄₁: 1 {O(1)}
t₄₂: 27 {O(1)}
t₄₃: 1368 {O(1)}
t₄₄: 16 {O(1)}
t₄₅: 1 {O(1)}
t₄₆: 1 {O(1)}
t₄₇: 1 {O(1)}
t₄₈: 6 {O(1)}
Costbounds
Overall costbound: 1468 {O(1)}
t₃₆: 1 {O(1)}
t₃₇: 1 {O(1)}
t₃₈: 6 {O(1)}
t₃₉: 1 {O(1)}
t₄₀: 38 {O(1)}
t₄₁: 1 {O(1)}
t₄₂: 27 {O(1)}
t₄₃: 1368 {O(1)}
t₄₄: 16 {O(1)}
t₄₅: 1 {O(1)}
t₄₆: 1 {O(1)}
t₄₇: 1 {O(1)}
t₄₈: 6 {O(1)}
Sizebounds
t₃₆, X₀: 5 {O(1)}
t₃₆, X₁: 16 {O(1)}
t₃₆, X₂: 0 {O(1)}
t₃₆, X₃: 0 {O(1)}
t₃₆, X₄: X₄ {O(n)}
t₃₇, X₀: 5 {O(1)}
t₃₇, X₁: 16 {O(1)}
t₃₇, X₂: 0 {O(1)}
t₃₇, X₃: 1 {O(1)}
t₃₇, X₄: X₄ {O(n)}
t₃₈, X₀: 5 {O(1)}
t₃₈, X₁: 16 {O(1)}
t₃₈, X₂: 0 {O(1)}
t₃₈, X₃: 5 {O(1)}
t₃₈, X₄: X₄ {O(n)}
t₃₉, X₀: 5 {O(1)}
t₃₉, X₁: 16 {O(1)}
t₃₉, X₂: 0 {O(1)}
t₃₉, X₃: 0 {O(1)}
t₃₉, X₄: X₄ {O(n)}
t₄₀, X₀: 5 {O(1)}
t₄₀, X₁: 16 {O(1)}
t₄₀, X₂: 0 {O(1)}
t₄₀, X₃: 4 {O(1)}
t₄₀, X₄: 0 {O(1)}
t₄₁, X₀: 5 {O(1)}
t₄₁, X₁: 16 {O(1)}
t₄₁, X₂: 0 {O(1)}
t₄₁, X₃: 0 {O(1)}
t₄₁, X₄: 16 {O(1)}
t₄₂, X₀: 5 {O(1)}
t₄₂, X₁: 16 {O(1)}
t₄₂, X₂: 0 {O(1)}
t₄₂, X₃: 5 {O(1)}
t₄₂, X₄: 16 {O(1)}
t₄₃, X₀: 5 {O(1)}
t₄₃, X₁: 16 {O(1)}
t₄₃, X₂: 0 {O(1)}
t₄₃, X₃: 4 {O(1)}
t₄₃, X₄: 16 {O(1)}
t₄₄, X₀: 5 {O(1)}
t₄₄, X₁: 16 {O(1)}
t₄₄, X₂: 0 {O(1)}
t₄₄, X₃: 16 {O(1)}
t₄₄, X₄: 16 {O(1)}
t₄₅, X₀: 5 {O(1)}
t₄₅, X₁: 16 {O(1)}
t₄₅, X₂: 0 {O(1)}
t₄₅, X₃: 15 {O(1)}
t₄₅, X₄: 32 {O(1)}
t₄₆, X₀: 5 {O(1)}
t₄₆, X₁: 16 {O(1)}
t₄₆, X₂: 0 {O(1)}
t₄₆, X₃: 0 {O(1)}
t₄₆, X₄: 16 {O(1)}
t₄₇, X₀: 5 {O(1)}
t₄₇, X₁: 16 {O(1)}
t₄₇, X₂: 0 {O(1)}
t₄₇, X₃: 5 {O(1)}
t₄₇, X₄: 16 {O(1)}
t₄₈, X₀: 5 {O(1)}
t₄₈, X₁: 16 {O(1)}
t₄₈, X₂: 0 {O(1)}
t₄₈, X₃: 5 {O(1)}
t₄₈, X₄: 16 {O(1)}