Initial Problem

Start: evalfstart
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅
Temp_Vars: G
Locations: evalfbb1in, evalfbb2in, evalfbb3in, evalfbb4in, evalfbb5in, evalfbb6in, evalfbb7in, evalfbb8in, evalfbb9in, evalfbbin, evalfentryin, evalfreturnin, evalfstart, evalfstop
Transitions:
t₁₀: evalfbb1in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb3in(X₀, X₁, X₂, X₃, X₂, X₃-1)
t₁₆: evalfbb2in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb3in(X₀, X₁, X₂, X₃, 1+X₄, X₅-2)
t₁₂: evalfbb3in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb4in(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1 ≤ 0
t₁₁: evalfbb3in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb5in(X₀, X₁, X₂, X₃, X₄, X₅)
t₁₃: evalfbb4in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb2in(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+G ≤ 0
t₁₄: evalfbb4in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb2in(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1 ≤ G
t₁₅: evalfbb4in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb5in(X₀, X₁, X₂, X₃, X₄, X₅)
t₁₇: evalfbb5in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb6in(X₀, X₁, X₄, X₅-1, X₄, X₅)
t₆: evalfbb6in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb7in(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₂ ≤ X₃
t₅: evalfbb6in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb8in(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₃ ≤ X₂
t₇: evalfbb7in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb1in(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+G ≤ 0
t₈: evalfbb7in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb1in(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1 ≤ G
t₉: evalfbb7in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb8in(X₀, X₁, X₂, X₃, X₄, X₅)
t₁₈: evalfbb8in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb9in(1+X₃-X₂, X₂-1, X₂, X₃, X₄, X₅)
t₂: evalfbb9in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbbin(X₀, X₁, X₂, X₃, X₄, X₅) :|: 2 ≤ X₁
t₃: evalfbb9in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfreturnin(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₁ ≤ 1
t₄: evalfbbin(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb6in(X₀, X₁, X₁-1, X₀+X₁-1, X₄, X₅)
t₁: evalfentryin(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb9in(X₁, X₁, X₂, X₃, X₄, X₅)
t₁₉: evalfreturnin(X₀, X₁, X₂, X₃, X₄, X₅) → evalfstop(X₀, X₁, X₂, X₃, X₄, X₅)
t₀: evalfstart(X₀, X₁, X₂, X₃, X₄, X₅) → evalfentryin(X₀, X₁, X₂, X₃, X₄, X₅)

Preprocessing

Cut unsatisfiable transition [t₁₂: evalfbb3in→evalfbb4in; t₁₃: evalfbb4in→evalfbb2in; t₁₄: evalfbb4in→evalfbb2in; t₁₅: evalfbb4in→evalfbb5in]

Cut unreachable locations [evalfbb2in; evalfbb4in] from the program graph

Found invariant 1+X₅ ≤ X₃ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 3 ≤ X₃+X₅ ∧ X₃ ≤ 1+X₅ ∧ 2 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 3 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 1+X₄ ≤ X₃ ∧ X₄ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 3 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ X₁ ≤ 1+X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 2 ≤ X₁ for location evalfbb5in

Found invariant X₁ ≤ 1 for location evalfreturnin

Found invariant 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 2 ≤ X₁ for location evalfbb1in

Found invariant 2 ≤ X₁ for location evalfbbin

Found invariant 1+X₅ ≤ X₃ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ X₄ ≤ X₅ ∧ 3 ≤ X₃+X₅ ∧ X₃ ≤ 1+X₅ ∧ 2 ≤ X₂+X₅ ∧ X₂ ≤ X₅ ∧ 3 ≤ X₁+X₅ ∧ X₁ ≤ 1+X₅ ∧ 1+X₄ ≤ X₃ ∧ X₄ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄ ∧ 3 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ X₁ ≤ 1+X₄ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 2 ≤ X₁ for location evalfbb3in

Found invariant 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 2 ≤ X₁ for location evalfbb6in

Found invariant 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 2 ≤ X₁ for location evalfbb7in

Found invariant X₁ ≤ 1 for location evalfstop

Found invariant 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 2 ≤ X₁ for location evalfbb8in

Problem after Preprocessing

Start: evalfstart
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅
Temp_Vars: G
Locations: evalfbb1in, evalfbb3in, evalfbb5in, evalfbb6in, evalfbb7in, evalfbb8in, evalfbb9in, evalfbbin, evalfentryin, evalfreturnin, evalfstart, evalfstop
Transitions:
t₁₀: evalfbb1in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb3in(X₀, X₁, X₂, X₃, X₂, X₃-1) :|: X₁ ≤ 1+X₂ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₃ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₁+X₃ ∧ X₁ ≤ X₃
t₁₁: evalfbb3in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb5in(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₁ ≤ 1+X₂ ∧ X₁ ≤ 1+X₄ ∧ X₁ ≤ 1+X₅ ∧ X₃ ≤ 1+X₅ ∧ 1+X₂ ≤ X₁ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 1+X₄ ≤ X₃ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₁ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₃ ∧ 2 ≤ X₄+X₅ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₂+X₃ ∧ 3 ≤ X₃+X₄ ∧ 3 ≤ X₃+X₅ ∧ 4 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ X₄ ≤ X₂ ∧ X₂ ≤ X₄ ∧ X₂ ≤ X₅ ∧ X₄ ≤ X₅
t₁₇: evalfbb5in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb6in(X₀, X₁, X₄, X₅-1, X₄, X₅) :|: X₁ ≤ 1+X₂ ∧ X₁ ≤ 1+X₄ ∧ X₁ ≤ 1+X₅ ∧ X₃ ≤ 1+X₅ ∧ 1+X₂ ≤ X₁ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 1+X₄ ≤ X₃ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₁ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₃ ∧ 2 ≤ X₄+X₅ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₂+X₃ ∧ 3 ≤ X₃+X₄ ∧ 3 ≤ X₃+X₅ ∧ 4 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ X₄ ≤ X₂ ∧ X₂ ≤ X₄ ∧ X₂ ≤ X₅ ∧ X₄ ≤ X₅
t₆: evalfbb6in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb7in(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₂ ≤ X₃ ∧ X₁ ≤ 1+X₂ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₁+X₂
t₅: evalfbb6in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb8in(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₃ ≤ X₂ ∧ X₁ ≤ 1+X₂ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₁+X₂
t₇: evalfbb7in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb1in(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+G ≤ 0 ∧ X₁ ≤ 1+X₂ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₃ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₁+X₃ ∧ X₁ ≤ X₃
t₈: evalfbb7in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb1in(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1 ≤ G ∧ X₁ ≤ 1+X₂ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₃ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₁+X₃ ∧ X₁ ≤ X₃
t₉: evalfbb7in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb8in(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₁ ≤ 1+X₂ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₃ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₁+X₃ ∧ X₁ ≤ X₃
t₁₈: evalfbb8in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb9in(1+X₃-X₂, X₂-1, X₂, X₃, X₄, X₅) :|: X₁ ≤ 1+X₂ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₁+X₂
t₂: evalfbb9in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbbin(X₀, X₁, X₂, X₃, X₄, X₅) :|: 2 ≤ X₁
t₃: evalfbb9in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfreturnin(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₁ ≤ 1
t₄: evalfbbin(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb6in(X₀, X₁, X₁-1, X₀+X₁-1, X₄, X₅) :|: 2 ≤ X₁
t₁: evalfentryin(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb9in(X₁, X₁, X₂, X₃, X₄, X₅)
t₁₉: evalfreturnin(X₀, X₁, X₂, X₃, X₄, X₅) → evalfstop(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₁ ≤ 1
t₀: evalfstart(X₀, X₁, X₂, X₃, X₄, X₅) → evalfentryin(X₀, X₁, X₂, X₃, X₄, X₅)

MPRF for transition t₂: evalfbb9in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbbin(X₀, X₁, X₂, X₃, X₄, X₅) :|: 2 ≤ X₁ of depth 1:

new bound:

X₁+2 {O(n)}

• evalfbb1in: [X₁]
• evalfbb3in: [X₁]
• evalfbb5in: [X₁]
• evalfbb6in: [X₁]
• evalfbb7in: [X₁]
• evalfbb8in: [X₁]
• evalfbb9in: [2+X₁]
• evalfbbin: [1+X₁]

MPRF for transition t₄: evalfbbin(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb6in(X₀, X₁, X₁-1, X₀+X₁-1, X₄, X₅) :|: 2 ≤ X₁ of depth 1:

new bound:

X₁+2 {O(n)}

• evalfbb1in: [X₁]
• evalfbb3in: [1+X₂]
• evalfbb5in: [1+X₂]
• evalfbb6in: [X₁]
• evalfbb7in: [X₁]
• evalfbb8in: [1+X₂]
• evalfbb9in: [2+X₁]
• evalfbbin: [1+X₁]

MPRF for transition t₅: evalfbb6in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb8in(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₃ ≤ X₂ ∧ X₁ ≤ 1+X₂ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₁+X₂ of depth 1:

new bound:

X₁ {O(n)}

• evalfbb1in: [1+X₂]
• evalfbb3in: [X₁]
• evalfbb5in: [X₁]
• evalfbb6in: [1+X₂]
• evalfbb7in: [1+X₂]
• evalfbb8in: [X₂]
• evalfbb9in: [X₁]
• evalfbbin: [X₁]

MPRF for transition t₆: evalfbb6in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb7in(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₂ ≤ X₃ ∧ X₁ ≤ 1+X₂ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₁+X₂ of depth 1:

new bound:

2⋅X₁+2 {O(n)}

• evalfbb1in: [X₃-2]
• evalfbb3in: [2⋅X₂+X₅-2⋅X₁]
• evalfbb5in: [2⋅X₄+X₅-2⋅X₁]
• evalfbb6in: [X₃-1]
• evalfbb7in: [X₃-2]
• evalfbb8in: [X₃-2]
• evalfbb9in: [X₀+X₁-2]
• evalfbbin: [X₀+X₁-2]

MPRF for transition t₇: evalfbb7in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb1in(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+G ≤ 0 ∧ X₁ ≤ 1+X₂ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₃ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₁+X₃ ∧ X₁ ≤ X₃ of depth 1:

new bound:

2⋅X₁+1 {O(n)}

• evalfbb1in: [X₃-2]
• evalfbb3in: [X₅-1]
• evalfbb5in: [X₅-1]
• evalfbb6in: [X₃]
• evalfbb7in: [X₃-1]
• evalfbb8in: [X₃-1]
• evalfbb9in: [X₀+X₁-1]
• evalfbbin: [X₀+X₁-1]

MPRF for transition t₈: evalfbb7in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb1in(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1 ≤ G ∧ X₁ ≤ 1+X₂ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₃ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₁+X₃ ∧ X₁ ≤ X₃ of depth 1:

new bound:

2⋅X₁+1 {O(n)}

• evalfbb1in: [X₃-2]
• evalfbb3in: [2⋅X₅-X₃]
• evalfbb5in: [2⋅X₅-X₃]
• evalfbb6in: [X₃]
• evalfbb7in: [X₃-1]
• evalfbb8in: [X₃-1]
• evalfbb9in: [X₀+X₁-1]
• evalfbbin: [X₀+X₁-1]

MPRF for transition t₉: evalfbb7in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb8in(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₁ ≤ 1+X₂ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₃ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₁+X₃ ∧ X₁ ≤ X₃ of depth 1:

new bound:

2⋅X₁ {O(n)}

• evalfbb1in: [1+2⋅X₂]
• evalfbb3in: [1+2⋅X₄]
• evalfbb5in: [1+2⋅X₂]
• evalfbb6in: [2⋅X₁-1]
• evalfbb7in: [1+2⋅X₂]
• evalfbb8in: [2⋅X₂]
• evalfbb9in: [2⋅X₁]
• evalfbbin: [2⋅X₁]

MPRF for transition t₁₀: evalfbb1in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb3in(X₀, X₁, X₂, X₃, X₂, X₃-1) :|: X₁ ≤ 1+X₂ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₁ ∧ 2 ≤ X₃ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₂+X₃ ∧ 4 ≤ X₁+X₃ ∧ X₁ ≤ X₃ of depth 1:

new bound:

3⋅X₁+1 {O(n)}

• evalfbb1in: [2⋅X₃-X₁]
• evalfbb3in: [2⋅X₃-1-X₁]
• evalfbb5in: [1+2⋅X₅-X₁]
• evalfbb6in: [3+2⋅X₃-X₁]
• evalfbb7in: [3+2⋅X₃-X₁]
• evalfbb8in: [2+2⋅X₃-X₂]
• evalfbb9in: [1+2⋅X₀+X₁]
• evalfbbin: [1+2⋅X₀+X₁]

MPRF for transition t₁₁: evalfbb3in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb5in(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₁ ≤ 1+X₂ ∧ X₁ ≤ 1+X₄ ∧ X₁ ≤ 1+X₅ ∧ X₃ ≤ 1+X₅ ∧ 1+X₂ ≤ X₁ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 1+X₄ ≤ X₃ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₁ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₃ ∧ 2 ≤ X₄+X₅ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₂+X₃ ∧ 3 ≤ X₃+X₄ ∧ 3 ≤ X₃+X₅ ∧ 4 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ X₄ ≤ X₂ ∧ X₂ ≤ X₄ ∧ X₂ ≤ X₅ ∧ X₄ ≤ X₅ of depth 1:

new bound:

2⋅X₁ {O(n)}

• evalfbb1in: [1+X₃]
• evalfbb3in: [2+X₅]
• evalfbb5in: [X₃]
• evalfbb6in: [1+X₃]
• evalfbb7in: [1+X₃]
• evalfbb8in: [X₃]
• evalfbb9in: [X₀+X₁]
• evalfbbin: [X₀+X₁]

MPRF for transition t₁₇: evalfbb5in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb6in(X₀, X₁, X₄, X₅-1, X₄, X₅) :|: X₁ ≤ 1+X₂ ∧ X₁ ≤ 1+X₄ ∧ X₁ ≤ 1+X₅ ∧ X₃ ≤ 1+X₅ ∧ 1+X₂ ≤ X₁ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 1+X₄ ≤ X₃ ∧ 1+X₅ ≤ X₃ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 2 ≤ X₁ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₃ ∧ 2 ≤ X₄+X₅ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₁+X₅ ∧ 3 ≤ X₂+X₃ ∧ 3 ≤ X₃+X₄ ∧ 3 ≤ X₃+X₅ ∧ 4 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ X₄ ≤ X₂ ∧ X₂ ≤ X₄ ∧ X₂ ≤ X₅ ∧ X₄ ≤ X₅ of depth 1:

new bound:

2⋅X₁+1 {O(n)}

• evalfbb1in: [X₃]
• evalfbb3in: [X₅]
• evalfbb5in: [X₅]
• evalfbb6in: [X₃]
• evalfbb7in: [X₃]
• evalfbb8in: [X₃]
• evalfbb9in: [X₀+X₁-1]
• evalfbbin: [X₀+X₁-1]

MPRF for transition t₁₈: evalfbb8in(X₀, X₁, X₂, X₃, X₄, X₅) → evalfbb9in(1+X₃-X₂, X₂-1, X₂, X₃, X₄, X₅) :|: X₁ ≤ 1+X₂ ∧ 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁ ∧ 3 ≤ X₁+X₂ of depth 1:

new bound:

X₁ {O(n)}

• evalfbb1in: [X₁-1]
• evalfbb3in: [X₁-1]
• evalfbb5in: [X₁-1]
• evalfbb6in: [X₁-1]
• evalfbb7in: [X₁-1]
• evalfbb8in: [X₁-1]
• evalfbb9in: [X₁]
• evalfbbin: [X₁-1]

All Bounds

Timebounds

Overall timebound:19⋅X₁+14 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: X₁+2 {O(n)}
t₃: 1 {O(1)}
t₄: X₁+2 {O(n)}
t₅: X₁ {O(n)}
t₆: 2⋅X₁+2 {O(n)}
t₇: 2⋅X₁+1 {O(n)}
t₈: 2⋅X₁+1 {O(n)}
t₉: 2⋅X₁ {O(n)}
t₁₀: 3⋅X₁+1 {O(n)}
t₁₁: 2⋅X₁ {O(n)}
t₁₇: 2⋅X₁+1 {O(n)}
t₁₈: X₁ {O(n)}
t₁₉: 1 {O(1)}

Costbounds

Overall costbound: 19⋅X₁+14 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: X₁+2 {O(n)}
t₃: 1 {O(1)}
t₄: X₁+2 {O(n)}
t₅: X₁ {O(n)}
t₆: 2⋅X₁+2 {O(n)}
t₇: 2⋅X₁+1 {O(n)}
t₈: 2⋅X₁+1 {O(n)}
t₉: 2⋅X₁ {O(n)}
t₁₀: 3⋅X₁+1 {O(n)}
t₁₁: 2⋅X₁ {O(n)}
t₁₇: 2⋅X₁+1 {O(n)}
t₁₈: X₁ {O(n)}
t₁₉: 1 {O(1)}

Sizebounds

t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}
t₀, X₃: X₃ {O(n)}
t₀, X₄: X₄ {O(n)}
t₀, X₅: X₅ {O(n)}
t₁, X₀: X₁ {O(n)}
t₁, X₁: X₁ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₁, X₄: X₄ {O(n)}
t₁, X₅: X₅ {O(n)}
t₂, X₀: 4⋅X₁⋅X₁+7⋅X₁ {O(n^2)}
t₂, X₁: X₁ {O(n)}
t₂, X₂: 3⋅X₁+X₂ {O(n)}
t₂, X₃: 8⋅X₁⋅X₁+14⋅X₁+X₃ {O(n^2)}
t₂, X₄: 2⋅X₁+X₄ {O(n)}
t₂, X₅: 8⋅X₁⋅X₁+14⋅X₁+X₅ {O(n^2)}
t₃, X₀: 4⋅X₁⋅X₁+8⋅X₁ {O(n^2)}
t₃, X₁: 2⋅X₁ {O(n)}
t₃, X₂: 3⋅X₁+X₂ {O(n)}
t₃, X₃: 8⋅X₁⋅X₁+14⋅X₁+X₃ {O(n^2)}
t₃, X₄: 2⋅X₁+2⋅X₄ {O(n)}
t₃, X₅: 8⋅X₁⋅X₁+14⋅X₁+2⋅X₅ {O(n^2)}
t₄, X₀: 4⋅X₁⋅X₁+7⋅X₁ {O(n^2)}
t₄, X₁: X₁ {O(n)}
t₄, X₂: X₁ {O(n)}
t₄, X₃: 4⋅X₁⋅X₁+7⋅X₁ {O(n^2)}
t₄, X₄: 2⋅X₁+X₄ {O(n)}
t₄, X₅: 8⋅X₁⋅X₁+14⋅X₁+X₅ {O(n^2)}
t₅, X₀: 8⋅X₁⋅X₁+14⋅X₁ {O(n^2)}
t₅, X₁: X₁ {O(n)}
t₅, X₂: 2⋅X₁ {O(n)}
t₅, X₃: 4⋅X₁⋅X₁+7⋅X₁ {O(n^2)}
t₅, X₄: 2⋅X₁+X₄ {O(n)}
t₅, X₅: 8⋅X₁⋅X₁+14⋅X₁+X₅ {O(n^2)}
t₆, X₀: 4⋅X₁⋅X₁+7⋅X₁ {O(n^2)}
t₆, X₁: X₁ {O(n)}
t₆, X₂: X₁ {O(n)}
t₆, X₃: 4⋅X₁⋅X₁+7⋅X₁ {O(n^2)}
t₆, X₄: 2⋅X₁+X₄ {O(n)}
t₆, X₅: 8⋅X₁⋅X₁+14⋅X₁+X₅ {O(n^2)}
t₇, X₀: 4⋅X₁⋅X₁+7⋅X₁ {O(n^2)}
t₇, X₁: X₁ {O(n)}
t₇, X₂: X₁ {O(n)}
t₇, X₃: 4⋅X₁⋅X₁+7⋅X₁ {O(n^2)}
t₇, X₄: 2⋅X₁+X₄ {O(n)}
t₇, X₅: 8⋅X₁⋅X₁+14⋅X₁+X₅ {O(n^2)}
t₈, X₀: 4⋅X₁⋅X₁+7⋅X₁ {O(n^2)}
t₈, X₁: X₁ {O(n)}
t₈, X₂: X₁ {O(n)}
t₈, X₃: 4⋅X₁⋅X₁+7⋅X₁ {O(n^2)}
t₈, X₄: 2⋅X₁+X₄ {O(n)}
t₈, X₅: 8⋅X₁⋅X₁+14⋅X₁+X₅ {O(n^2)}
t₉, X₀: 4⋅X₁⋅X₁+7⋅X₁ {O(n^2)}
t₉, X₁: X₁ {O(n)}
t₉, X₂: X₁ {O(n)}
t₉, X₃: 4⋅X₁⋅X₁+7⋅X₁ {O(n^2)}
t₉, X₄: 2⋅X₁+X₄ {O(n)}
t₉, X₅: 8⋅X₁⋅X₁+14⋅X₁+X₅ {O(n^2)}
t₁₀, X₀: 4⋅X₁⋅X₁+7⋅X₁ {O(n^2)}
t₁₀, X₁: X₁ {O(n)}
t₁₀, X₂: X₁ {O(n)}
t₁₀, X₃: 4⋅X₁⋅X₁+7⋅X₁ {O(n^2)}
t₁₀, X₄: 2⋅X₁ {O(n)}
t₁₀, X₅: 8⋅X₁⋅X₁+14⋅X₁ {O(n^2)}
t₁₁, X₀: 4⋅X₁⋅X₁+7⋅X₁ {O(n^2)}
t₁₁, X₁: X₁ {O(n)}
t₁₁, X₂: X₁ {O(n)}
t₁₁, X₃: 4⋅X₁⋅X₁+7⋅X₁ {O(n^2)}
t₁₁, X₄: 2⋅X₁ {O(n)}
t₁₁, X₅: 8⋅X₁⋅X₁+14⋅X₁ {O(n^2)}
t₁₇, X₀: 4⋅X₁⋅X₁+7⋅X₁ {O(n^2)}
t₁₇, X₁: X₁ {O(n)}
t₁₇, X₂: X₁ {O(n)}
t₁₇, X₃: 4⋅X₁⋅X₁+7⋅X₁ {O(n^2)}
t₁₇, X₄: 2⋅X₁ {O(n)}
t₁₇, X₅: 8⋅X₁⋅X₁+14⋅X₁ {O(n^2)}
t₁₈, X₀: 4⋅X₁⋅X₁+7⋅X₁ {O(n^2)}
t₁₈, X₁: X₁ {O(n)}
t₁₈, X₂: 3⋅X₁ {O(n)}
t₁₈, X₃: 8⋅X₁⋅X₁+14⋅X₁ {O(n^2)}
t₁₈, X₄: 2⋅X₁+X₄ {O(n)}
t₁₈, X₅: 8⋅X₁⋅X₁+14⋅X₁+X₅ {O(n^2)}
t₁₉, X₀: 4⋅X₁⋅X₁+8⋅X₁ {O(n^2)}
t₁₉, X₁: 2⋅X₁ {O(n)}
t₁₉, X₂: 3⋅X₁+X₂ {O(n)}
t₁₉, X₃: 8⋅X₁⋅X₁+14⋅X₁+X₃ {O(n^2)}
t₁₉, X₄: 2⋅X₁+2⋅X₄ {O(n)}
t₁₉, X₅: 8⋅X₁⋅X₁+14⋅X₁+2⋅X₅ {O(n^2)}