Initial Problem
Start: l0
Program_Vars: X₀, X₁, X₂, X₃
Temp_Vars: nondef_0, nondef_1, nondef_2, nondef_3
Locations: l0, l1, l10, l11, l12, l13, l2, l3, l4, l5, l6, l7, l8, l9
Transitions:
t₀: l0(X₀, X₁, X₂, X₃) → l2(X₀, X₁, X₂, X₃)
t₃: l1(X₀, X₁, X₂, X₃) → l4(X₀, X₁, X₂, X₃)
t₈: l10(X₀, X₁, X₂, X₃) → l11(X₀, X₁, X₂, X₃) :|: 0 < X₂
t₉: l10(X₀, X₁, X₂, X₃) → l8(X₀, X₁, X₂, X₃) :|: X₂ ≤ 0
t₁₀: l11(X₀, X₁, X₂, X₃) → l12(X₀, X₁, X₂, X₃) :|: X₂+1 ≤ 0 ∧ 0 ≤ 1+X₂ ∧ nondef_0 ≤ 0 ∧ 0 ≤ nondef_0
t₁₁: l11(X₀, X₁, X₂, X₃) → l12(X₀, X₁, X₂, X₃) :|: 0 < 1+X₂ ∧ 0 ≤ nondef_0 ∧ 2⋅nondef_0 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_0+1
t₁₂: l11(X₀, X₁, X₂, X₃) → l12(X₀, X₁, X₂, X₃) :|: X₂+1 < 0 ∧ nondef_0 ≤ 0 ∧ 1+X₂ ≤ 2⋅nondef_0 ∧ 2⋅nondef_0 < X₂+3
t₁₃: l11(X₀, X₁, X₂, X₃) → l8(X₀, X₁, X₂, X₃) :|: X₂+1 ≤ 0 ∧ 0 ≤ 1+X₂ ∧ nondef_0 ≤ 0 ∧ 0 ≤ nondef_0
t₁₄: l11(X₀, X₁, X₂, X₃) → l8(X₀, X₁, X₂, X₃) :|: 0 < 1+X₂ ∧ 0 ≤ nondef_0 ∧ 2⋅nondef_0 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_0+1
t₁₅: l11(X₀, X₁, X₂, X₃) → l8(X₀, X₁, X₂, X₃) :|: X₂+1 < 0 ∧ nondef_0 ≤ 0 ∧ 1+X₂ ≤ 2⋅nondef_0 ∧ 2⋅nondef_0 < X₂+3
t₁₆: l12(X₀, X₁, X₂, X₃) → l10(X₀, X₁, nondef_3-1, X₃) :|: X₂+1 ≤ 0 ∧ 0 ≤ 1+X₂ ∧ nondef_1 ≤ 0 ∧ 0 ≤ nondef_1 ∧ X₂+1 ≤ 0 ∧ 0 ≤ 1+X₂ ∧ nondef_2 ≤ 0 ∧ 0 ≤ nondef_2 ∧ X₂+1 ≤ 0 ∧ 0 ≤ 1+X₂ ∧ nondef_3 ≤ 0 ∧ 0 ≤ nondef_3
t₁₇: l12(X₀, X₁, X₂, X₃) → l10(X₀, X₁, nondef_3-1, X₃) :|: X₂+1 ≤ 0 ∧ 0 ≤ 1+X₂ ∧ nondef_1 ≤ 0 ∧ 0 ≤ nondef_1 ∧ X₂+1 ≤ 0 ∧ 0 ≤ 1+X₂ ∧ nondef_2 ≤ 0 ∧ 0 ≤ nondef_2 ∧ 0 < 1+X₂ ∧ 0 ≤ nondef_3 ∧ 2⋅nondef_3 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_3+1
t₁₈: l12(X₀, X₁, X₂, X₃) → l10(X₀, X₁, nondef_3-1, X₃) :|: X₂+1 ≤ 0 ∧ 0 ≤ 1+X₂ ∧ nondef_1 ≤ 0 ∧ 0 ≤ nondef_1 ∧ X₂+1 ≤ 0 ∧ 0 ≤ 1+X₂ ∧ nondef_2 ≤ 0 ∧ 0 ≤ nondef_2 ∧ X₂+1 < 0 ∧ nondef_3 ≤ 0 ∧ 1+X₂ ≤ 2⋅nondef_3 ∧ 2⋅nondef_3 < X₂+3
t₁₉: l12(X₀, X₁, X₂, X₃) → l10(X₀, X₁, nondef_3-1, X₃) :|: X₂+1 ≤ 0 ∧ 0 ≤ 1+X₂ ∧ nondef_1 ≤ 0 ∧ 0 ≤ nondef_1 ∧ 0 < 1+X₂ ∧ 0 ≤ nondef_2 ∧ 2⋅nondef_2 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_2+1 ∧ X₂+1 ≤ 0 ∧ 0 ≤ 1+X₂ ∧ nondef_3 ≤ 0 ∧ 0 ≤ nondef_3
t₂₀: l12(X₀, X₁, X₂, X₃) → l10(X₀, X₁, nondef_3-1, X₃) :|: X₂+1 ≤ 0 ∧ 0 ≤ 1+X₂ ∧ nondef_1 ≤ 0 ∧ 0 ≤ nondef_1 ∧ 0 < 1+X₂ ∧ 0 ≤ nondef_2 ∧ 2⋅nondef_2 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_2+1 ∧ 0 < 1+X₂ ∧ 0 ≤ nondef_3 ∧ 2⋅nondef_3 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_3+1
t₂₁: l12(X₀, X₁, X₂, X₃) → l10(X₀, X₁, nondef_3-1, X₃) :|: X₂+1 ≤ 0 ∧ 0 ≤ 1+X₂ ∧ nondef_1 ≤ 0 ∧ 0 ≤ nondef_1 ∧ 0 < 1+X₂ ∧ 0 ≤ nondef_2 ∧ 2⋅nondef_2 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_2+1 ∧ X₂+1 < 0 ∧ nondef_3 ≤ 0 ∧ 1+X₂ ≤ 2⋅nondef_3 ∧ 2⋅nondef_3 < X₂+3
t₂₂: l12(X₀, X₁, X₂, X₃) → l10(X₀, X₁, nondef_3-1, X₃) :|: X₂+1 ≤ 0 ∧ 0 ≤ 1+X₂ ∧ nondef_1 ≤ 0 ∧ 0 ≤ nondef_1 ∧ X₂+1 < 0 ∧ nondef_2 ≤ 0 ∧ 1+X₂ ≤ 2⋅nondef_2 ∧ 2⋅nondef_2 < X₂+3 ∧ X₂+1 ≤ 0 ∧ 0 ≤ 1+X₂ ∧ nondef_3 ≤ 0 ∧ 0 ≤ nondef_3
t₂₃: l12(X₀, X₁, X₂, X₃) → l10(X₀, X₁, nondef_3-1, X₃) :|: X₂+1 ≤ 0 ∧ 0 ≤ 1+X₂ ∧ nondef_1 ≤ 0 ∧ 0 ≤ nondef_1 ∧ X₂+1 < 0 ∧ nondef_2 ≤ 0 ∧ 1+X₂ ≤ 2⋅nondef_2 ∧ 2⋅nondef_2 < X₂+3 ∧ 0 < 1+X₂ ∧ 0 ≤ nondef_3 ∧ 2⋅nondef_3 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_3+1
t₂₄: l12(X₀, X₁, X₂, X₃) → l10(X₀, X₁, nondef_3-1, X₃) :|: X₂+1 ≤ 0 ∧ 0 ≤ 1+X₂ ∧ nondef_1 ≤ 0 ∧ 0 ≤ nondef_1 ∧ X₂+1 < 0 ∧ nondef_2 ≤ 0 ∧ 1+X₂ ≤ 2⋅nondef_2 ∧ 2⋅nondef_2 < X₂+3 ∧ X₂+1 < 0 ∧ nondef_3 ≤ 0 ∧ 1+X₂ ≤ 2⋅nondef_3 ∧ 2⋅nondef_3 < X₂+3
t₂₅: l12(X₀, X₁, X₂, X₃) → l10(X₀, X₁, nondef_3-1, X₃) :|: 0 < 1+X₂ ∧ 0 ≤ nondef_1 ∧ 2⋅nondef_1 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_1+1 ∧ X₂+1 ≤ 0 ∧ 0 ≤ 1+X₂ ∧ nondef_2 ≤ 0 ∧ 0 ≤ nondef_2 ∧ X₂+1 ≤ 0 ∧ 0 ≤ 1+X₂ ∧ nondef_3 ≤ 0 ∧ 0 ≤ nondef_3
t₂₆: l12(X₀, X₁, X₂, X₃) → l10(X₀, X₁, nondef_3-1, X₃) :|: 0 < 1+X₂ ∧ 0 ≤ nondef_1 ∧ 2⋅nondef_1 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_1+1 ∧ X₂+1 ≤ 0 ∧ 0 ≤ 1+X₂ ∧ nondef_2 ≤ 0 ∧ 0 ≤ nondef_2 ∧ 0 < 1+X₂ ∧ 0 ≤ nondef_3 ∧ 2⋅nondef_3 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_3+1
t₂₇: l12(X₀, X₁, X₂, X₃) → l10(X₀, X₁, nondef_3-1, X₃) :|: 0 < 1+X₂ ∧ 0 ≤ nondef_1 ∧ 2⋅nondef_1 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_1+1 ∧ X₂+1 ≤ 0 ∧ 0 ≤ 1+X₂ ∧ nondef_2 ≤ 0 ∧ 0 ≤ nondef_2 ∧ X₂+1 < 0 ∧ nondef_3 ≤ 0 ∧ 1+X₂ ≤ 2⋅nondef_3 ∧ 2⋅nondef_3 < X₂+3
t₂₈: l12(X₀, X₁, X₂, X₃) → l10(X₀, X₁, nondef_3-1, X₃) :|: 0 < 1+X₂ ∧ 0 ≤ nondef_1 ∧ 2⋅nondef_1 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_1+1 ∧ 0 < 1+X₂ ∧ 0 ≤ nondef_2 ∧ 2⋅nondef_2 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_2+1 ∧ X₂+1 ≤ 0 ∧ 0 ≤ 1+X₂ ∧ nondef_3 ≤ 0 ∧ 0 ≤ nondef_3
t₂₉: l12(X₀, X₁, X₂, X₃) → l10(X₀, X₁, nondef_3-1, X₃) :|: 0 < 1+X₂ ∧ 0 ≤ nondef_1 ∧ 2⋅nondef_1 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_1+1 ∧ 0 < 1+X₂ ∧ 0 ≤ nondef_2 ∧ 2⋅nondef_2 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_2+1 ∧ 0 < 1+X₂ ∧ 0 ≤ nondef_3 ∧ 2⋅nondef_3 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_3+1
t₃₀: l12(X₀, X₁, X₂, X₃) → l10(X₀, X₁, nondef_3-1, X₃) :|: 0 < 1+X₂ ∧ 0 ≤ nondef_1 ∧ 2⋅nondef_1 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_1+1 ∧ 0 < 1+X₂ ∧ 0 ≤ nondef_2 ∧ 2⋅nondef_2 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_2+1 ∧ X₂+1 < 0 ∧ nondef_3 ≤ 0 ∧ 1+X₂ ≤ 2⋅nondef_3 ∧ 2⋅nondef_3 < X₂+3
t₃₁: l12(X₀, X₁, X₂, X₃) → l10(X₀, X₁, nondef_3-1, X₃) :|: 0 < 1+X₂ ∧ 0 ≤ nondef_1 ∧ 2⋅nondef_1 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_1+1 ∧ X₂+1 < 0 ∧ nondef_2 ≤ 0 ∧ 1+X₂ ≤ 2⋅nondef_2 ∧ 2⋅nondef_2 < X₂+3 ∧ X₂+1 ≤ 0 ∧ 0 ≤ 1+X₂ ∧ nondef_3 ≤ 0 ∧ 0 ≤ nondef_3
t₃₂: l12(X₀, X₁, X₂, X₃) → l10(X₀, X₁, nondef_3-1, X₃) :|: 0 < 1+X₂ ∧ 0 ≤ nondef_1 ∧ 2⋅nondef_1 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_1+1 ∧ X₂+1 < 0 ∧ nondef_2 ≤ 0 ∧ 1+X₂ ≤ 2⋅nondef_2 ∧ 2⋅nondef_2 < X₂+3 ∧ 0 < 1+X₂ ∧ 0 ≤ nondef_3 ∧ 2⋅nondef_3 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_3+1
t₃₃: l12(X₀, X₁, X₂, X₃) → l10(X₀, X₁, nondef_3-1, X₃) :|: 0 < 1+X₂ ∧ 0 ≤ nondef_1 ∧ 2⋅nondef_1 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_1+1 ∧ X₂+1 < 0 ∧ nondef_2 ≤ 0 ∧ 1+X₂ ≤ 2⋅nondef_2 ∧ 2⋅nondef_2 < X₂+3 ∧ X₂+1 < 0 ∧ nondef_3 ≤ 0 ∧ 1+X₂ ≤ 2⋅nondef_3 ∧ 2⋅nondef_3 < X₂+3
t₃₄: l12(X₀, X₁, X₂, X₃) → l10(X₀, X₁, nondef_3-1, X₃) :|: X₂+1 < 0 ∧ nondef_1 ≤ 0 ∧ 1+X₂ ≤ 2⋅nondef_1 ∧ 2⋅nondef_1 < X₂+3 ∧ X₂+1 ≤ 0 ∧ 0 ≤ 1+X₂ ∧ nondef_2 ≤ 0 ∧ 0 ≤ nondef_2 ∧ X₂+1 ≤ 0 ∧ 0 ≤ 1+X₂ ∧ nondef_3 ≤ 0 ∧ 0 ≤ nondef_3
t₃₅: l12(X₀, X₁, X₂, X₃) → l10(X₀, X₁, nondef_3-1, X₃) :|: X₂+1 < 0 ∧ nondef_1 ≤ 0 ∧ 1+X₂ ≤ 2⋅nondef_1 ∧ 2⋅nondef_1 < X₂+3 ∧ X₂+1 ≤ 0 ∧ 0 ≤ 1+X₂ ∧ nondef_2 ≤ 0 ∧ 0 ≤ nondef_2 ∧ 0 < 1+X₂ ∧ 0 ≤ nondef_3 ∧ 2⋅nondef_3 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_3+1
t₃₆: l12(X₀, X₁, X₂, X₃) → l10(X₀, X₁, nondef_3-1, X₃) :|: X₂+1 < 0 ∧ nondef_1 ≤ 0 ∧ 1+X₂ ≤ 2⋅nondef_1 ∧ 2⋅nondef_1 < X₂+3 ∧ X₂+1 ≤ 0 ∧ 0 ≤ 1+X₂ ∧ nondef_2 ≤ 0 ∧ 0 ≤ nondef_2 ∧ X₂+1 < 0 ∧ nondef_3 ≤ 0 ∧ 1+X₂ ≤ 2⋅nondef_3 ∧ 2⋅nondef_3 < X₂+3
t₃₇: l12(X₀, X₁, X₂, X₃) → l10(X₀, X₁, nondef_3-1, X₃) :|: X₂+1 < 0 ∧ nondef_1 ≤ 0 ∧ 1+X₂ ≤ 2⋅nondef_1 ∧ 2⋅nondef_1 < X₂+3 ∧ 0 < 1+X₂ ∧ 0 ≤ nondef_2 ∧ 2⋅nondef_2 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_2+1 ∧ X₂+1 ≤ 0 ∧ 0 ≤ 1+X₂ ∧ nondef_3 ≤ 0 ∧ 0 ≤ nondef_3
t₃₈: l12(X₀, X₁, X₂, X₃) → l10(X₀, X₁, nondef_3-1, X₃) :|: X₂+1 < 0 ∧ nondef_1 ≤ 0 ∧ 1+X₂ ≤ 2⋅nondef_1 ∧ 2⋅nondef_1 < X₂+3 ∧ 0 < 1+X₂ ∧ 0 ≤ nondef_2 ∧ 2⋅nondef_2 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_2+1 ∧ 0 < 1+X₂ ∧ 0 ≤ nondef_3 ∧ 2⋅nondef_3 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_3+1
t₃₉: l12(X₀, X₁, X₂, X₃) → l10(X₀, X₁, nondef_3-1, X₃) :|: X₂+1 < 0 ∧ nondef_1 ≤ 0 ∧ 1+X₂ ≤ 2⋅nondef_1 ∧ 2⋅nondef_1 < X₂+3 ∧ 0 < 1+X₂ ∧ 0 ≤ nondef_2 ∧ 2⋅nondef_2 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_2+1 ∧ X₂+1 < 0 ∧ nondef_3 ≤ 0 ∧ 1+X₂ ≤ 2⋅nondef_3 ∧ 2⋅nondef_3 < X₂+3
t₄₀: l12(X₀, X₁, X₂, X₃) → l10(X₀, X₁, nondef_3-1, X₃) :|: X₂+1 < 0 ∧ nondef_1 ≤ 0 ∧ 1+X₂ ≤ 2⋅nondef_1 ∧ 2⋅nondef_1 < X₂+3 ∧ X₂+1 < 0 ∧ nondef_2 ≤ 0 ∧ 1+X₂ ≤ 2⋅nondef_2 ∧ 2⋅nondef_2 < X₂+3 ∧ X₂+1 ≤ 0 ∧ 0 ≤ 1+X₂ ∧ nondef_3 ≤ 0 ∧ 0 ≤ nondef_3
t₄₁: l12(X₀, X₁, X₂, X₃) → l10(X₀, X₁, nondef_3-1, X₃) :|: X₂+1 < 0 ∧ nondef_1 ≤ 0 ∧ 1+X₂ ≤ 2⋅nondef_1 ∧ 2⋅nondef_1 < X₂+3 ∧ X₂+1 < 0 ∧ nondef_2 ≤ 0 ∧ 1+X₂ ≤ 2⋅nondef_2 ∧ 2⋅nondef_2 < X₂+3 ∧ 0 < 1+X₂ ∧ 0 ≤ nondef_3 ∧ 2⋅nondef_3 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_3+1
t₄₂: l12(X₀, X₁, X₂, X₃) → l10(X₀, X₁, nondef_3-1, X₃) :|: X₂+1 < 0 ∧ nondef_1 ≤ 0 ∧ 1+X₂ ≤ 2⋅nondef_1 ∧ 2⋅nondef_1 < X₂+3 ∧ X₂+1 < 0 ∧ nondef_2 ≤ 0 ∧ 1+X₂ ≤ 2⋅nondef_2 ∧ 2⋅nondef_2 < X₂+3 ∧ X₂+1 < 0 ∧ nondef_3 ≤ 0 ∧ 1+X₂ ≤ 2⋅nondef_3 ∧ 2⋅nondef_3 < X₂+3
t₁: l2(X₀, X₁, X₂, X₃) → l3(X₀, X₁, X₂, X₃)
t₂: l3(X₀, X₁, X₂, X₃) → l1(X₀, X₁, X₂, X₃)
t₄: l4(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, 1) :|: 2 < X₁
t₅: l4(X₀, X₁, X₂, X₃) → l6(X₀, X₁, X₂, X₃) :|: X₁ ≤ 2
t₆: l5(X₀, X₁, X₂, X₃) → l10(X₀, X₁, X₃, X₃) :|: X₃+1 ≤ X₁
t₇: l5(X₀, X₁, X₂, X₃) → l6(X₀, X₁, X₂, X₃) :|: X₁ < 1+X₃
t₄₆: l6(X₀, X₁, X₂, X₃) → l13(X₀, X₁, X₂, X₃)
t₄₅: l7(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₀)
t₄₃: l8(X₀, X₁, X₂, X₃) → l9(X₃+1, X₁, X₂, X₃)
t₄₄: l9(X₀, X₁, X₂, X₃) → l7(X₀, X₁, X₂, X₃)
Preprocessing
Cut unsatisfiable transition t₁₀: l11→l12
Cut unsatisfiable transition t₁₂: l11→l12
Cut unsatisfiable transition t₁₃: l11→l8
Cut unsatisfiable transition t₁₅: l11→l8
Cut unsatisfiable transition t₁₇: l12→l10
Cut unsatisfiable transition t₁₈: l12→l10
Cut unsatisfiable transition t₁₉: l12→l10
Cut unsatisfiable transition t₂₀: l12→l10
Cut unsatisfiable transition t₂₁: l12→l10
Cut unsatisfiable transition t₂₂: l12→l10
Cut unsatisfiable transition t₂₃: l12→l10
Cut unsatisfiable transition t₂₄: l12→l10
Cut unsatisfiable transition t₂₅: l12→l10
Cut unsatisfiable transition t₂₆: l12→l10
Cut unsatisfiable transition t₂₇: l12→l10
Cut unsatisfiable transition t₂₈: l12→l10
Cut unsatisfiable transition t₃₀: l12→l10
Cut unsatisfiable transition t₃₁: l12→l10
Cut unsatisfiable transition t₃₂: l12→l10
Cut unsatisfiable transition t₃₃: l12→l10
Cut unsatisfiable transition t₃₄: l12→l10
Cut unsatisfiable transition t₃₅: l12→l10
Cut unsatisfiable transition t₃₆: l12→l10
Cut unsatisfiable transition t₃₇: l12→l10
Cut unsatisfiable transition t₃₈: l12→l10
Cut unsatisfiable transition t₃₉: l12→l10
Cut unsatisfiable transition t₄₀: l12→l10
Cut unsatisfiable transition t₄₁: l12→l10
Found invariant 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₁ for location l11
Found invariant 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₁ for location l12
Found invariant 1+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 3 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 2 ≤ X₀ for location l7
Found invariant X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 3 ≤ X₁ for location l5
Found invariant 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁ for location l8
Found invariant 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁ for location l10
Found invariant 1+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 3 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 2 ≤ X₀ for location l9
Cut unsatisfiable transition t₁₆: l12→l10
Cut unsatisfiable transition t₄₂: l12→l10
Problem after Preprocessing
Start: l0
Program_Vars: X₀, X₁, X₂, X₃
Temp_Vars: nondef_0, nondef_1, nondef_2, nondef_3
Locations: l0, l1, l10, l11, l12, l13, l2, l3, l4, l5, l6, l7, l8, l9
Transitions:
t₀: l0(X₀, X₁, X₂, X₃) → l2(X₀, X₁, X₂, X₃)
t₃: l1(X₀, X₁, X₂, X₃) → l4(X₀, X₁, X₂, X₃)
t₈: l10(X₀, X₁, X₂, X₃) → l11(X₀, X₁, X₂, X₃) :|: 0 < X₂ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁
t₉: l10(X₀, X₁, X₂, X₃) → l8(X₀, X₁, X₂, X₃) :|: X₂ ≤ 0 ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁
t₁₁: l11(X₀, X₁, X₂, X₃) → l12(X₀, X₁, X₂, X₃) :|: 0 < 1+X₂ ∧ 0 ≤ nondef_0 ∧ 2⋅nondef_0 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_0+1 ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₁
t₁₄: l11(X₀, X₁, X₂, X₃) → l8(X₀, X₁, X₂, X₃) :|: 0 < 1+X₂ ∧ 0 ≤ nondef_0 ∧ 2⋅nondef_0 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_0+1 ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₁
t₂₉: l12(X₀, X₁, X₂, X₃) → l10(X₀, X₁, nondef_3-1, X₃) :|: 0 < 1+X₂ ∧ 0 ≤ nondef_1 ∧ 2⋅nondef_1 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_1+1 ∧ 0 < 1+X₂ ∧ 0 ≤ nondef_2 ∧ 2⋅nondef_2 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_2+1 ∧ 0 < 1+X₂ ∧ 0 ≤ nondef_3 ∧ 2⋅nondef_3 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_3+1 ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₁
t₁: l2(X₀, X₁, X₂, X₃) → l3(X₀, X₁, X₂, X₃)
t₂: l3(X₀, X₁, X₂, X₃) → l1(X₀, X₁, X₂, X₃)
t₄: l4(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, 1) :|: 2 < X₁
t₅: l4(X₀, X₁, X₂, X₃) → l6(X₀, X₁, X₂, X₃) :|: X₁ ≤ 2
t₆: l5(X₀, X₁, X₂, X₃) → l10(X₀, X₁, X₃, X₃) :|: X₃+1 ≤ X₁ ∧ X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 3 ≤ X₁
t₇: l5(X₀, X₁, X₂, X₃) → l6(X₀, X₁, X₂, X₃) :|: X₁ < 1+X₃ ∧ X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 3 ≤ X₁
t₄₆: l6(X₀, X₁, X₂, X₃) → l13(X₀, X₁, X₂, X₃)
t₄₅: l7(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₀) :|: 1+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 3 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 2 ≤ X₀
t₄₃: l8(X₀, X₁, X₂, X₃) → l9(X₃+1, X₁, X₂, X₃) :|: 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁
t₄₄: l9(X₀, X₁, X₂, X₃) → l7(X₀, X₁, X₂, X₃) :|: 1+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 3 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 2 ≤ X₀
MPRF for transition t₉: l10(X₀, X₁, X₂, X₃) → l8(X₀, X₁, X₂, X₃) :|: X₂ ≤ 0 ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁ of depth 1:
new bound:
X₁+1 {O(n)}
MPRF:
l11 [X₁-X₃ ]
l12 [X₁-X₃ ]
l10 [X₁-X₃ ]
l5 [X₁-X₃ ]
l8 [X₁-X₃-1 ]
l9 [X₁-X₃-1 ]
l7 [X₁-X₃-1 ]
MPRF for transition t₁₄: l11(X₀, X₁, X₂, X₃) → l8(X₀, X₁, X₂, X₃) :|: 0 < 1+X₂ ∧ 0 ≤ nondef_0 ∧ 2⋅nondef_0 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_0+1 ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₁ of depth 1:
new bound:
X₁+1 {O(n)}
MPRF:
l11 [X₁-X₃ ]
l12 [X₁-X₃ ]
l10 [X₁-X₃ ]
l5 [X₁-X₃ ]
l8 [X₁-X₃-1 ]
l9 [X₁-X₃-1 ]
l7 [X₁-X₀ ]
MPRF for transition t₆: l5(X₀, X₁, X₂, X₃) → l10(X₀, X₁, X₃, X₃) :|: X₃+1 ≤ X₁ ∧ X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 3 ≤ X₁ of depth 1:
new bound:
X₁+1 {O(n)}
MPRF:
l11 [X₁-X₃-1 ]
l12 [X₁-X₃-1 ]
l10 [X₁-X₃-1 ]
l5 [X₁-X₃ ]
l8 [X₁-X₃-1 ]
l9 [X₁-X₃-1 ]
l7 [X₁-X₀ ]
MPRF for transition t₄₅: l7(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₀) :|: 1+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 3 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 2 ≤ X₀ of depth 1:
new bound:
X₁+1 {O(n)}
MPRF:
l11 [X₁-X₃ ]
l12 [X₁-X₃ ]
l10 [X₁-X₃ ]
l5 [X₁-X₃ ]
l8 [X₁-X₃ ]
l9 [X₁-X₃ ]
l7 [X₁+1-X₀ ]
MPRF for transition t₄₃: l8(X₀, X₁, X₂, X₃) → l9(X₃+1, X₁, X₂, X₃) :|: 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁ of depth 1:
new bound:
X₁+1 {O(n)}
MPRF:
l11 [X₁-X₃ ]
l12 [X₁-X₃ ]
l10 [X₁-X₃ ]
l5 [X₁-X₃ ]
l8 [X₁-X₃ ]
l9 [X₁-X₃-1 ]
l7 [X₁-X₃-1 ]
MPRF for transition t₄₄: l9(X₀, X₁, X₂, X₃) → l7(X₀, X₁, X₂, X₃) :|: 1+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 3 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 2 ≤ X₀ of depth 1:
new bound:
X₁+1 {O(n)}
MPRF:
l11 [X₁-X₃ ]
l12 [X₁-X₃ ]
l10 [X₁-X₃ ]
l5 [X₁-X₃ ]
l8 [X₁-X₃ ]
l9 [X₁+1-X₀ ]
l7 [X₁-X₀ ]
MPRF for transition t₈: l10(X₀, X₁, X₂, X₃) → l11(X₀, X₁, X₂, X₃) :|: 0 < X₂ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁ of depth 1:
new bound:
2⋅X₁⋅X₁+7⋅X₁+8 {O(n^2)}
MPRF:
l11 [2⋅X₂ ]
l12 [2⋅X₂ ]
l10 [2⋅X₂+1 ]
l7 [2⋅X₀+1 ]
l5 [2⋅X₃+1 ]
l8 [2⋅X₂ ]
l9 [0 ]
MPRF for transition t₁₁: l11(X₀, X₁, X₂, X₃) → l12(X₀, X₁, X₂, X₃) :|: 0 < 1+X₂ ∧ 0 ≤ nondef_0 ∧ 2⋅nondef_0 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_0+1 ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₁ of depth 1:
new bound:
4⋅X₁⋅X₁+14⋅X₁+12 {O(n^2)}
MPRF:
l11 [2⋅X₂-1 ]
l12 [X₂-2 ]
l10 [2⋅X₂-1 ]
l7 [2⋅X₃+2 ]
l5 [2⋅X₃ ]
l8 [-1 ]
l9 [-1 ]
MPRF for transition t₂₉: l12(X₀, X₁, X₂, X₃) → l10(X₀, X₁, nondef_3-1, X₃) :|: 0 < 1+X₂ ∧ 0 ≤ nondef_1 ∧ 2⋅nondef_1 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_1+1 ∧ 0 < 1+X₂ ∧ 0 ≤ nondef_2 ∧ 2⋅nondef_2 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_2+1 ∧ 0 < 1+X₂ ∧ 0 ≤ nondef_3 ∧ 2⋅nondef_3 ≤ 1+X₂ ∧ X₂ < 2⋅nondef_3+1 ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₁ of depth 1:
new bound:
2⋅X₁⋅X₁+7⋅X₁+8 {O(n^2)}
MPRF:
l11 [2⋅X₂+1 ]
l12 [2⋅X₂+1 ]
l10 [2⋅X₂+1 ]
l7 [2⋅X₀+1 ]
l5 [2⋅X₃+1 ]
l8 [2⋅X₂ ]
l9 [0 ]
Analysing control-flow refined program
Cut unsatisfiable transition t₇: l5→l6
Cut unsatisfiable transition t₂₉₀: n_l10___15→l8
Found invariant 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₁ for location n_l11___10
Found invariant X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 2 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 5 ≤ X₁+X₃ ∧ 4 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 3 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 2 ≤ X₀ for location n_l5___5
Found invariant 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₁ for location n_l8___8
Found invariant X₃ ≤ X₂ ∧ 1+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 3 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 2 ≤ X₀ for location n_l9___4
Found invariant 1+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 2 ≤ X₀ for location n_l9___7
Found invariant 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 4 ≤ X₁+X₃ ∧ 0 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁ for location n_l10___11
Found invariant X₃ ≤ X₂ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₁ for location n_l10___15
Found invariant X₃ ≤ X₂ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₁ for location n_l11___14
Found invariant X₃ ≤ X₂ ∧ 1+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 3 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 2 ≤ X₀ for location n_l7___3
Found invariant X₃ ≤ X₂ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₁ for location n_l8___12
Found invariant X₃ ≤ X₂ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₁ for location n_l12___13
Found invariant 1+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 2 ≤ X₀ for location n_l7___6
Found invariant 1+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ X₂ ≤ 0 ∧ 3+X₂ ≤ X₁ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 3 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 2 ≤ X₀ for location n_l9___2
Found invariant X₃ ≤ 1 ∧ 2+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 3 ≤ X₁ for location l5
Found invariant 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ X₂ ≤ 0 ∧ 3+X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁ for location l8
Found invariant 1+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ X₂ ≤ 0 ∧ 3+X₂ ≤ X₁ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 3 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 2 ≤ X₀ for location n_l7___1
Found invariant 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₁ for location n_l12___9
MPRF for transition t₂₇₁: l8(X₀, X₁, X₂, X₃) → n_l9___2(X₃+1, X₁, X₂, X₃) :|: 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 3 ≤ X₁ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1+X₃ ≤ X₁ ∧ 3 ≤ X₁ ∧ 0 ≤ X₂ ∧ 1 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ X₂ ≤ 0 ∧ 3+X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁ of depth 1:
new bound:
X₁+1 {O(n)}
MPRF:
l8 [X₁-X₃ ]
n_l11___10 [X₁-X₃ ]
n_l11___14 [X₁-X₃ ]
n_l12___13 [X₁+X₂-2⋅X₃ ]
n_l12___9 [X₁-X₃ ]
n_l10___11 [X₁-X₃ ]
n_l10___15 [X₁-X₃ ]
n_l5___5 [X₁-X₃ ]
n_l8___12 [X₁-X₃ ]
n_l8___8 [X₁-X₃ ]
n_l9___2 [X₁-X₃-1 ]
n_l7___1 [X₁-X₀ ]
n_l9___4 [X₁-X₂ ]
n_l7___3 [X₁-X₂ ]
n_l9___7 [X₁-X₃ ]
n_l7___6 [X₁-X₀ ]
MPRF for transition t₂₈₉: n_l10___11(X₀, X₁, X₂, X₃) → l8(X₀, X₁, X₂, X₃) :|: X₂ ≤ 0 ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 4 ≤ X₁+X₃ ∧ 0 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁ of depth 1:
new bound:
X₁+3 {O(n)}
MPRF:
l8 [X₁+1-X₃ ]
n_l11___10 [X₁+2-X₃ ]
n_l11___14 [X₁+2-X₂ ]
n_l12___13 [X₁+2-X₃ ]
n_l12___9 [X₁+2-X₃ ]
n_l10___11 [X₁+2-X₃ ]
n_l10___15 [X₁+2-X₂ ]
n_l5___5 [X₁+2-X₀ ]
n_l8___12 [X₁+1-X₃ ]
n_l8___8 [X₁+1-X₃ ]
n_l9___2 [X₁+1-X₃ ]
n_l7___1 [X₁+2-X₀ ]
n_l9___4 [X₁+1-X₂ ]
n_l7___3 [X₁+X₃+2-X₀-X₂ ]
n_l9___7 [X₁+1-X₃ ]
n_l7___6 [X₁+1-X₃ ]
MPRF for transition t₂₅₈: n_l10___15(X₀, X₁, X₂, X₃) → n_l11___14(X₀, X₁, X₂, X₃) :|: 1 ≤ X₂ ∧ 3 ≤ X₁ ∧ X₂ ≤ X₃ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 0 < X₂ ∧ X₂ ≤ X₃ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₃ ≤ X₂ ∧ 1 ≤ X₃ ∧ 3 ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 3 ≤ X₁ ∧ 0 < X₂ ∧ 1 ≤ X₃ ∧ X₂ ≤ X₃ ∧ X₃ ≤ X₂ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₁ of depth 1:
new bound:
X₁+1 {O(n)}
MPRF:
l8 [X₁-X₃-1 ]
n_l11___10 [X₁-X₃-1 ]
n_l11___14 [X₁-X₃-1 ]
n_l12___13 [X₁-X₃-1 ]
n_l12___9 [X₁-X₃-1 ]
n_l10___11 [X₁-X₃-1 ]
n_l10___15 [X₁-X₂ ]
n_l5___5 [X₁-X₃ ]
n_l8___12 [X₁-X₃-1 ]
n_l8___8 [X₁-X₃-1 ]
n_l9___2 [X₁-X₀ ]
n_l7___1 [X₁-X₀ ]
n_l9___4 [X₁-X₃-1 ]
n_l7___3 [X₁-X₀ ]
n_l9___7 [X₁-X₃-1 ]
n_l7___6 [X₁-X₀ ]
MPRF for transition t₂₆₀: n_l11___10(X₀, X₁, X₂, X₃) → n_l8___8(X₀, X₁, Arg2_P, Arg3_P) :|: 1 ≤ X₃ ∧ 0 < X₂ ∧ 1+X₃ ≤ X₁ ∧ X₂ ≤ X₃ ∧ 3 ≤ X₁ ∧ 1 ≤ Arg2_P ∧ 3 ≤ X₁ ∧ Arg2_P ≤ Arg3_P ∧ 1+Arg3_P ≤ X₁ ∧ X₂ ≤ Arg2_P ∧ Arg2_P ≤ X₂ ∧ X₃ ≤ Arg3_P ∧ Arg3_P ≤ X₃ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₁ of depth 1:
new bound:
X₁+4 {O(n)}
MPRF:
l8 [X₁+3-X₃ ]
n_l11___10 [X₁+3-X₃ ]
n_l11___14 [X₁+3-X₂ ]
n_l12___13 [X₁+3-X₃ ]
n_l12___9 [X₁+3-X₃ ]
n_l10___11 [X₁+3-X₃ ]
n_l10___15 [X₁+3-X₃ ]
n_l5___5 [X₁+3-X₀ ]
n_l8___12 [X₁+3-X₂ ]
n_l8___8 [X₁+2-X₃ ]
n_l9___2 [X₁+3-X₃ ]
n_l7___1 [X₁+3-X₀ ]
n_l9___4 [X₁+3-X₂ ]
n_l7___3 [X₁+3-X₀ ]
n_l9___7 [X₁+3-X₀ ]
n_l7___6 [X₁+3-X₀ ]
MPRF for transition t₂₆₁: n_l11___14(X₀, X₁, X₂, X₃) → n_l12___13(X₀, X₁, Arg2_P, Arg3_P) :|: 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 3 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₃ ≤ X₂ ∧ 1 ≤ Arg2_P ∧ 3 ≤ X₁ ∧ Arg2_P ≤ Arg3_P ∧ 1+Arg3_P ≤ X₁ ∧ X₂ ≤ Arg2_P ∧ Arg2_P ≤ X₂ ∧ X₃ ≤ Arg3_P ∧ Arg3_P ≤ X₃ ∧ X₃ ≤ X₂ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₁ of depth 1:
new bound:
X₁+1 {O(n)}
MPRF:
l8 [X₁-X₃-1 ]
n_l11___10 [X₁-X₃-1 ]
n_l11___14 [X₁-X₃ ]
n_l12___13 [X₁-X₃-1 ]
n_l12___9 [X₁-X₃-1 ]
n_l10___11 [X₁-X₃-1 ]
n_l10___15 [X₁-X₂ ]
n_l5___5 [X₁-X₀ ]
n_l8___12 [X₁-X₃ ]
n_l8___8 [X₁-X₃-1 ]
n_l9___2 [X₁-X₀ ]
n_l7___1 [X₁-X₀ ]
n_l9___4 [X₁-X₂ ]
n_l7___3 [X₁+X₃-X₀-X₂ ]
n_l9___7 [X₁-X₃-1 ]
n_l7___6 [X₁-X₀ ]
MPRF for transition t₂₆₂: n_l11___14(X₀, X₁, X₂, X₃) → n_l8___12(X₀, X₁, Arg2_P, Arg3_P) :|: 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 3 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₃ ≤ X₂ ∧ 1 ≤ Arg2_P ∧ 3 ≤ X₁ ∧ Arg2_P ≤ Arg3_P ∧ 1+Arg3_P ≤ X₁ ∧ X₂ ≤ Arg2_P ∧ Arg2_P ≤ X₂ ∧ X₃ ≤ Arg3_P ∧ Arg3_P ≤ X₃ ∧ X₃ ≤ X₂ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₁ of depth 1:
new bound:
X₁+1 {O(n)}
MPRF:
l8 [X₁-X₃ ]
n_l11___10 [X₁-X₃ ]
n_l11___14 [X₁-X₃ ]
n_l12___13 [X₁-X₃ ]
n_l12___9 [X₁-X₃ ]
n_l10___11 [X₁-X₃ ]
n_l10___15 [X₁-X₂ ]
n_l5___5 [X₁-X₀ ]
n_l8___12 [X₁-X₃-1 ]
n_l8___8 [X₁-X₃ ]
n_l9___2 [X₁-X₃ ]
n_l7___1 [X₁-X₀ ]
n_l9___4 [X₁-X₀ ]
n_l7___3 [X₁-X₀ ]
n_l9___7 [X₁-X₃ ]
n_l7___6 [X₁-X₀ ]
MPRF for transition t₂₆₃: n_l12___13(X₀, X₁, X₂, X₃) → n_l10___11(X₀, X₁, Arg2_P, Arg3_P) :|: 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 3 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₃ ≤ X₂ ∧ X₂ < 3+2⋅Arg2_P ∧ 1 ≤ X₂ ∧ 1+2⋅Arg2_P ≤ X₂ ∧ X₂ ≤ Arg3_P ∧ 1+Arg3_P ≤ X₁ ∧ 3 ≤ X₁ ∧ X₃ ≤ Arg3_P ∧ Arg3_P ≤ X₃ ∧ X₃ ≤ X₂ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₁ of depth 1:
new bound:
X₁+1 {O(n)}
MPRF:
l8 [X₁-X₃-1 ]
n_l11___10 [X₁-X₃-1 ]
n_l11___14 [X₁-X₃ ]
n_l12___13 [X₁-X₂ ]
n_l12___9 [X₁-X₃-1 ]
n_l10___11 [X₁-X₃-1 ]
n_l10___15 [X₁-X₃ ]
n_l5___5 [X₁-X₃ ]
n_l8___12 [X₁-X₃ ]
n_l8___8 [X₁-X₃-1 ]
n_l9___2 [X₁-X₃-1 ]
n_l7___1 [X₁-X₀ ]
n_l9___4 [X₁-X₃ ]
n_l7___3 [X₁+X₃-X₀-X₂ ]
n_l9___7 [X₁-X₃-1 ]
n_l7___6 [X₁-X₀ ]
MPRF for transition t₂₆₆: n_l5___5(X₀, X₁, X₂, X₃) → n_l10___15(X₀, X₁, X₃, X₃) :|: 1 ≤ X₃ ∧ 3 ≤ X₁ ∧ X₀ ≤ X₃ ∧ X₃ ≤ X₀ ∧ 1+X₂ ≤ X₀ ∧ 2 ≤ X₀ ∧ X₀ ≤ X₁ ∧ 3 ≤ X₁ ∧ 3 ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 2 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 5 ≤ X₁+X₃ ∧ 4 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 3 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 2 ≤ X₀ of depth 1:
new bound:
X₁+2 {O(n)}
MPRF:
l8 [X₁-X₃-1 ]
n_l11___10 [X₁-X₃-1 ]
n_l11___14 [X₁-X₂-1 ]
n_l12___13 [X₁-X₃-1 ]
n_l12___9 [X₁-X₃-1 ]
n_l10___11 [X₁-X₃-1 ]
n_l10___15 [X₁-X₃-1 ]
n_l5___5 [X₁-X₀ ]
n_l8___12 [X₁-X₃-1 ]
n_l8___8 [X₁-X₃-1 ]
n_l9___2 [X₁-X₃-1 ]
n_l7___1 [X₁-X₀ ]
n_l9___4 [X₁-X₂-1 ]
n_l7___3 [X₁+X₃-X₀-X₂ ]
n_l9___7 [X₁-X₃-1 ]
n_l7___6 [X₁-X₀ ]
MPRF for transition t₂₆₇: n_l7___1(X₀, X₁, X₂, X₃) → n_l5___5(X₀, X₁, X₂, X₀) :|: X₀ ≤ X₁ ∧ 2 ≤ X₀ ∧ 3 ≤ X₁ ∧ X₀ ≤ X₃+1 ∧ 1+X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 3 ≤ X₁ ∧ 2 ≤ X₀ ∧ 1+X₂ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃+1 ∧ 1+X₃ ≤ X₀ ∧ 1+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ X₂ ≤ 0 ∧ 3+X₂ ≤ X₁ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 3 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 2 ≤ X₀ of depth 1:
new bound:
X₁+1 {O(n)}
MPRF:
l8 [X₁-X₃ ]
n_l11___10 [X₁-X₃ ]
n_l11___14 [X₁-X₂ ]
n_l12___13 [X₁-X₃ ]
n_l12___9 [X₁-X₃ ]
n_l10___11 [X₁-X₃ ]
n_l10___15 [X₁-X₃ ]
n_l5___5 [X₁-X₃ ]
n_l8___12 [X₁-X₃ ]
n_l8___8 [X₁-X₃ ]
n_l9___2 [X₁-X₃ ]
n_l7___1 [X₁+1-X₀ ]
n_l9___4 [X₁-X₂ ]
n_l7___3 [X₁+X₃-X₀-X₂ ]
n_l9___7 [X₁-X₃ ]
n_l7___6 [X₁-X₀ ]
MPRF for transition t₂₆₈: n_l7___3(X₀, X₁, X₂, X₃) → n_l5___5(X₀, X₁, X₂, X₀) :|: X₀ ≤ X₁ ∧ 2 ≤ X₀ ∧ 3 ≤ X₁ ∧ X₀ ≤ X₃+1 ∧ 1+X₃ ≤ X₀ ∧ X₀ ≤ X₂+1 ∧ 1+X₂ ≤ X₀ ∧ 3 ≤ X₁ ∧ 2 ≤ X₀ ∧ 1+X₂ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃+1 ∧ 1+X₃ ≤ X₀ ∧ X₃ ≤ X₂ ∧ 1+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 3 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 2 ≤ X₀ of depth 1:
new bound:
X₁+1 {O(n)}
MPRF:
l8 [X₁-X₃-1 ]
n_l11___10 [X₁-X₃-1 ]
n_l11___14 [X₁-X₂ ]
n_l12___13 [X₁-X₃-1 ]
n_l12___9 [X₁-X₃-1 ]
n_l10___11 [X₁-X₃-1 ]
n_l10___15 [X₁-X₂ ]
n_l5___5 [X₁-X₀ ]
n_l8___12 [X₁-X₃ ]
n_l8___8 [X₁-X₃-1 ]
n_l9___2 [X₁-X₃-1 ]
n_l7___1 [X₁-X₀ ]
n_l9___4 [X₁-X₂ ]
n_l7___3 [X₁+1-X₀ ]
n_l9___7 [X₁-X₃-1 ]
n_l7___6 [X₁-X₀ ]
MPRF for transition t₂₆₉: n_l7___6(X₀, X₁, X₂, X₃) → n_l5___5(X₀, X₁, X₂, X₀) :|: 1 ≤ X₂ ∧ 3 ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃+1 ∧ 1+X₃ ≤ X₀ ∧ 3 ≤ X₁ ∧ 2 ≤ X₀ ∧ 1+X₂ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃+1 ∧ 1+X₃ ≤ X₀ ∧ 1+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 2 ≤ X₀ of depth 1:
new bound:
X₁+1 {O(n)}
MPRF:
l8 [X₁-X₃ ]
n_l11___10 [X₁-X₃ ]
n_l11___14 [X₁-X₂ ]
n_l12___13 [X₁-X₃ ]
n_l12___9 [X₁-X₃ ]
n_l10___11 [X₁-X₃ ]
n_l10___15 [X₁-X₃ ]
n_l5___5 [X₁-X₀ ]
n_l8___12 [X₁-X₃ ]
n_l8___8 [X₁-X₃ ]
n_l9___2 [X₁-X₃ ]
n_l7___1 [X₁-X₀ ]
n_l9___4 [X₁-X₃ ]
n_l7___3 [X₁-X₂ ]
n_l9___7 [X₁-X₃ ]
n_l7___6 [X₁+1-X₀ ]
MPRF for transition t₂₇₀: n_l8___12(X₀, X₁, X₂, X₃) → n_l9___4(X₃+1, X₁, X₂, X₃) :|: 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 3 ≤ X₁ ∧ X₂ ≤ X₃ ∧ X₃ ≤ X₂ ∧ 1+X₃ ≤ X₁ ∧ 3 ≤ X₁ ∧ 0 ≤ X₂ ∧ 1 ≤ X₃ ∧ X₂ ≤ X₃ ∧ X₃ ≤ X₂ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₁ of depth 1:
new bound:
X₁+3 {O(n)}
MPRF:
l8 [X₁-X₃ ]
n_l11___10 [X₁-X₃ ]
n_l11___14 [X₁+X₃-2⋅X₂ ]
n_l12___13 [X₁-X₂ ]
n_l12___9 [X₁-X₃ ]
n_l10___11 [X₁-X₃ ]
n_l10___15 [X₁+X₃-2⋅X₂ ]
n_l5___5 [X₁-X₃ ]
n_l8___12 [X₁-X₂ ]
n_l8___8 [X₁-X₃ ]
n_l9___2 [X₁+1-X₀ ]
n_l7___1 [X₁-X₀ ]
n_l9___4 [X₁-X₂-1 ]
n_l7___3 [X₁-X₀ ]
n_l9___7 [X₁-X₃ ]
n_l7___6 [X₁-X₀ ]
MPRF for transition t₂₇₂: n_l8___8(X₀, X₁, X₂, X₃) → n_l9___7(X₃+1, X₁, X₂, X₃) :|: 1 ≤ X₂ ∧ 3 ≤ X₁ ∧ X₂ ≤ X₃ ∧ 1+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₁ ∧ 3 ≤ X₁ ∧ 0 ≤ X₂ ∧ 1 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₁ of depth 1:
new bound:
X₁+1 {O(n)}
MPRF:
l8 [X₁-X₃ ]
n_l11___10 [X₁-X₃ ]
n_l11___14 [X₁-X₃ ]
n_l12___13 [X₁+X₂-2⋅X₃ ]
n_l12___9 [X₁-X₃ ]
n_l10___11 [X₁-X₃ ]
n_l10___15 [X₁-X₂ ]
n_l5___5 [X₁-X₀ ]
n_l8___12 [X₁-X₂ ]
n_l8___8 [X₁-X₃ ]
n_l9___2 [X₁-X₃ ]
n_l7___1 [X₁-X₀ ]
n_l9___4 [X₁-X₃ ]
n_l7___3 [X₁-X₂ ]
n_l9___7 [X₁-X₃-1 ]
n_l7___6 [X₁-X₀ ]
MPRF for transition t₂₇₃: n_l9___2(X₀, X₁, X₂, X₃) → n_l7___1(X₀, X₁, X₂, X₀-1) :|: X₀ ≤ X₁ ∧ 2 ≤ X₀ ∧ 3 ≤ X₁ ∧ X₀ ≤ X₃+1 ∧ 1+X₃ ≤ X₀ ∧ X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 3 ≤ X₁ ∧ 2 ≤ X₀ ∧ 1+X₂ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃+1 ∧ 1+X₃ ≤ X₀ ∧ 1+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ X₂ ≤ 0 ∧ 3+X₂ ≤ X₁ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 3 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 2 ≤ X₀ of depth 1:
new bound:
X₁+1 {O(n)}
MPRF:
l8 [X₁-X₃ ]
n_l11___10 [X₁-X₃ ]
n_l11___14 [X₁-X₂ ]
n_l12___13 [X₁+X₂-2⋅X₃ ]
n_l12___9 [X₁-X₃ ]
n_l10___11 [X₁-X₃ ]
n_l10___15 [X₁-X₂ ]
n_l5___5 [X₁-X₃ ]
n_l8___12 [X₁-X₂ ]
n_l8___8 [X₁-X₃ ]
n_l9___2 [X₁-X₃ ]
n_l7___1 [X₁-X₀ ]
n_l9___4 [X₁-X₃ ]
n_l7___3 [X₁+X₃-X₀-X₂ ]
n_l9___7 [X₁-X₃ ]
n_l7___6 [X₁-X₀ ]
MPRF for transition t₂₇₄: n_l9___4(X₀, X₁, X₂, X₃) → n_l7___3(X₀, X₁, X₂, X₀-1) :|: X₀ ≤ X₁ ∧ 2 ≤ X₀ ∧ 3 ≤ X₁ ∧ X₀ ≤ X₃+1 ∧ 1+X₃ ≤ X₀ ∧ X₀ ≤ X₂+1 ∧ 1+X₂ ≤ X₀ ∧ 3 ≤ X₁ ∧ 2 ≤ X₀ ∧ 1+X₂ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃+1 ∧ 1+X₃ ≤ X₀ ∧ X₃ ≤ X₂ ∧ 1+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 3 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 2 ≤ X₀ of depth 1:
new bound:
X₁+1 {O(n)}
MPRF:
l8 [X₁-X₃ ]
n_l11___10 [X₁-X₃ ]
n_l11___14 [X₁-X₂ ]
n_l12___13 [X₁-X₃ ]
n_l12___9 [X₁-X₃ ]
n_l10___11 [X₁-X₃ ]
n_l10___15 [X₁-X₃ ]
n_l5___5 [X₁-X₀ ]
n_l8___12 [X₁-X₂ ]
n_l8___8 [X₁-X₃ ]
n_l9___2 [X₁-X₃ ]
n_l7___1 [X₁-X₀ ]
n_l9___4 [X₁-X₂ ]
n_l7___3 [X₁-X₂-1 ]
n_l9___7 [X₁-X₃ ]
n_l7___6 [X₁-X₀ ]
MPRF for transition t₂₇₅: n_l9___7(X₀, X₁, X₂, X₃) → n_l7___6(X₀, X₁, X₂, X₀-1) :|: 1 ≤ X₂ ∧ 3 ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃+1 ∧ 1+X₃ ≤ X₀ ∧ 3 ≤ X₁ ∧ 2 ≤ X₀ ∧ 1+X₂ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₀ ≤ X₃+1 ∧ 1+X₃ ≤ X₀ ∧ 1+X₃ ≤ X₁ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 2 ≤ X₀ of depth 1:
new bound:
X₁+1 {O(n)}
MPRF:
l8 [X₁-X₃ ]
n_l11___10 [X₁-X₃ ]
n_l11___14 [X₁-X₃ ]
n_l12___13 [X₁-X₂ ]
n_l12___9 [X₁-X₃ ]
n_l10___11 [X₁-X₃ ]
n_l10___15 [X₁-X₂ ]
n_l5___5 [X₁-X₀ ]
n_l8___12 [X₁-X₂ ]
n_l8___8 [X₁-X₃ ]
n_l9___2 [X₁-X₃ ]
n_l7___1 [X₁-X₀ ]
n_l9___4 [X₁-X₂ ]
n_l7___3 [X₁+X₃-X₀-X₂ ]
n_l9___7 [X₁-X₃ ]
n_l7___6 [X₁-X₀ ]
MPRF for transition t₂₅₇: n_l10___11(X₀, X₁, X₂, X₃) → n_l11___10(X₀, X₁, X₂, X₃) :|: 3 ≤ X₁ ∧ X₂ ≤ X₃ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 1+X₃ ≤ X₁ ∧ 3 ≤ X₁ ∧ 0 < X₂ ∧ 1 ≤ X₃ ∧ X₂ ≤ X₃ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 4 ≤ X₁+X₃ ∧ 0 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁ of depth 1:
new bound:
2⋅X₁⋅X₁+3⋅X₁ {O(n^2)}
MPRF:
n_l9___2 [0 ]
l8 [0 ]
n_l11___10 [2⋅X₂-1 ]
n_l11___14 [X₁ ]
n_l12___13 [X₃ ]
n_l12___9 [2⋅X₂-1 ]
n_l10___11 [2⋅X₂+1 ]
n_l10___15 [X₁ ]
n_l7___1 [X₁ ]
n_l7___6 [X₁ ]
n_l5___5 [X₁ ]
n_l8___12 [X₁ ]
n_l8___8 [2⋅X₂-1 ]
n_l9___7 [2⋅X₂-1 ]
n_l9___4 [X₁ ]
n_l7___3 [X₁ ]
MPRF for transition t₂₅₉: n_l11___10(X₀, X₁, X₂, X₃) → n_l12___9(X₀, X₁, Arg2_P, Arg3_P) :|: 1 ≤ X₃ ∧ 0 < X₂ ∧ 1+X₃ ≤ X₁ ∧ X₂ ≤ X₃ ∧ 3 ≤ X₁ ∧ 1 ≤ Arg2_P ∧ 3 ≤ X₁ ∧ Arg2_P ≤ Arg3_P ∧ 1+Arg3_P ≤ X₁ ∧ X₂ ≤ Arg2_P ∧ Arg2_P ≤ X₂ ∧ X₃ ≤ Arg3_P ∧ Arg3_P ≤ X₃ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₁ of depth 1:
new bound:
6⋅X₁⋅X₁+13⋅X₁+6 {O(n^2)}
MPRF:
n_l9___2 [X₃+1-X₀ ]
l8 [0 ]
n_l11___10 [X₂+2 ]
n_l11___14 [X₁ ]
n_l12___13 [X₂ ]
n_l12___9 [X₂ ]
n_l10___11 [2⋅X₂+1 ]
n_l10___15 [X₁ ]
n_l7___1 [2⋅X₁-X₀ ]
n_l7___6 [X₁ ]
n_l5___5 [X₁ ]
n_l8___12 [X₁ ]
n_l8___8 [0 ]
n_l9___7 [0 ]
n_l9___4 [X₁ ]
n_l7___3 [X₁ ]
MPRF for transition t₂₆₄: n_l12___9(X₀, X₁, X₂, X₃) → n_l10___11(X₀, X₁, Arg2_P, Arg3_P) :|: 1 ≤ X₂ ∧ 3 ≤ X₁ ∧ X₂ ≤ X₃ ∧ 1+X₃ ≤ X₁ ∧ X₂ < 3+2⋅Arg2_P ∧ 1 ≤ X₂ ∧ 1+2⋅Arg2_P ≤ X₂ ∧ X₂ ≤ Arg3_P ∧ 1+Arg3_P ≤ X₁ ∧ 3 ≤ X₁ ∧ X₃ ≤ Arg3_P ∧ Arg3_P ≤ X₃ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ 3 ≤ X₁ of depth 1:
new bound:
2⋅X₁⋅X₁+3⋅X₁ {O(n^2)}
MPRF:
n_l9___2 [X₀-X₃-1 ]
l8 [0 ]
n_l11___10 [2⋅X₂ ]
n_l11___14 [X₁ ]
n_l12___13 [X₃ ]
n_l12___9 [X₂+1 ]
n_l10___11 [2⋅X₂ ]
n_l10___15 [X₁ ]
n_l7___1 [X₁ ]
n_l7___6 [X₁ ]
n_l5___5 [X₁ ]
n_l8___12 [X₁ ]
n_l8___8 [0 ]
n_l9___7 [0 ]
n_l9___4 [X₁ ]
n_l7___3 [X₁ ]
CFR did not improve the program. Rolling back
All Bounds
Timebounds
Overall timebound:8⋅X₁⋅X₁+34⋅X₁+42 {O(n^2)}
t₀: 1 {O(1)}
t₃: 1 {O(1)}
t₈: 2⋅X₁⋅X₁+7⋅X₁+8 {O(n^2)}
t₉: X₁+1 {O(n)}
t₁₁: 4⋅X₁⋅X₁+14⋅X₁+12 {O(n^2)}
t₁₄: X₁+1 {O(n)}
t₂₉: 2⋅X₁⋅X₁+7⋅X₁+8 {O(n^2)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: X₁+1 {O(n)}
t₇: 1 {O(1)}
t₄₆: 1 {O(1)}
t₄₅: X₁+1 {O(n)}
t₄₃: X₁+1 {O(n)}
t₄₄: X₁+1 {O(n)}
Costbounds
Overall costbound: 8⋅X₁⋅X₁+34⋅X₁+42 {O(n^2)}
t₀: 1 {O(1)}
t₃: 1 {O(1)}
t₈: 2⋅X₁⋅X₁+7⋅X₁+8 {O(n^2)}
t₉: X₁+1 {O(n)}
t₁₁: 4⋅X₁⋅X₁+14⋅X₁+12 {O(n^2)}
t₁₄: X₁+1 {O(n)}
t₂₉: 2⋅X₁⋅X₁+7⋅X₁+8 {O(n^2)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: X₁+1 {O(n)}
t₇: 1 {O(1)}
t₄₆: 1 {O(1)}
t₄₅: X₁+1 {O(n)}
t₄₃: X₁+1 {O(n)}
t₄₄: X₁+1 {O(n)}
Sizebounds
t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}
t₀, X₃: X₃ {O(n)}
t₃, X₀: X₀ {O(n)}
t₃, X₁: X₁ {O(n)}
t₃, X₂: X₂ {O(n)}
t₃, X₃: X₃ {O(n)}
t₈, X₀: X₀+X₁+2 {O(n)}
t₈, X₁: X₁ {O(n)}
t₈, X₂: X₁+3 {O(n)}
t₈, X₃: X₁+2 {O(n)}
t₉, X₀: X₀+X₁+2 {O(n)}
t₉, X₁: X₁ {O(n)}
t₉, X₂: 0 {O(1)}
t₉, X₃: X₁+2 {O(n)}
t₁₁, X₀: X₀+X₁+2 {O(n)}
t₁₁, X₁: X₁ {O(n)}
t₁₁, X₂: X₁+3 {O(n)}
t₁₁, X₃: X₁+2 {O(n)}
t₁₄, X₀: X₀+X₁+2 {O(n)}
t₁₄, X₁: X₁ {O(n)}
t₁₄, X₂: X₁+3 {O(n)}
t₁₄, X₃: X₁+2 {O(n)}
t₂₉, X₀: X₀+X₁+2 {O(n)}
t₂₉, X₁: X₁ {O(n)}
t₂₉, X₂: X₁+3 {O(n)}
t₂₉, X₃: X₁+2 {O(n)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: X₁ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₂, X₀: X₀ {O(n)}
t₂, X₁: X₁ {O(n)}
t₂, X₂: X₂ {O(n)}
t₂, X₃: X₃ {O(n)}
t₄, X₀: X₀ {O(n)}
t₄, X₁: X₁ {O(n)}
t₄, X₂: X₂ {O(n)}
t₄, X₃: 1 {O(1)}
t₅, X₀: X₀ {O(n)}
t₅, X₁: X₁ {O(n)}
t₅, X₂: X₂ {O(n)}
t₅, X₃: X₃ {O(n)}
t₆, X₀: X₀+X₁+2 {O(n)}
t₆, X₁: X₁ {O(n)}
t₆, X₂: X₁+3 {O(n)}
t₆, X₃: X₁+2 {O(n)}
t₇, X₀: X₁+2 {O(n)}
t₇, X₁: X₁ {O(n)}
t₇, X₂: X₁+3 {O(n)}
t₇, X₃: X₁+2 {O(n)}
t₄₆, X₀: X₀+X₁+2 {O(n)}
t₄₆, X₁: 2⋅X₁ {O(n)}
t₄₆, X₂: X₁+X₂+3 {O(n)}
t₄₆, X₃: X₁+X₃+2 {O(n)}
t₄₅, X₀: X₁+2 {O(n)}
t₄₅, X₁: X₁ {O(n)}
t₄₅, X₂: X₁+3 {O(n)}
t₄₅, X₃: X₁+2 {O(n)}
t₄₃, X₀: X₁+2 {O(n)}
t₄₃, X₁: X₁ {O(n)}
t₄₃, X₂: X₁+3 {O(n)}
t₄₃, X₃: 2⋅X₁+4 {O(n)}
t₄₄, X₀: X₁+2 {O(n)}
t₄₄, X₁: X₁ {O(n)}
t₄₄, X₂: X₁+3 {O(n)}
t₄₄, X₃: 2⋅X₁+4 {O(n)}