Initial Problem
Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5, l6
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅) → l1(X₀, X₁, X₂, X₃, X₀, 0)
t₁: l1(X₀, X₁, X₂, X₃, X₄, X₅) → l2(X₀, X₁, X₂, X₃, X₄-1, X₁+X₂) :|: 0 < X₄
t₆: l2(X₀, X₁, X₂, X₃, X₄, X₅) → l1(X₀, X₁, X₂, X₁+X₂, X₄, X₅)
t₂: l2(X₀, X₁, X₂, X₃, X₄, X₅) → l3(X₀, X₁, X₂, X₃, X₄, X₅-1) :|: 0 < X₅
t₇: l2(X₀, X₁, X₂, X₃, X₄, X₅) → l4(X₀, X₁, X₂, X₃, X₄, X₅)
t₃: l3(X₀, X₁, X₂, X₃, X₄, X₅) → l5(X₀, X₃, X₀, X₃, X₄, X₅)
t₄: l3(X₀, X₁, X₂, X₃, X₄, X₅) → l5(X₀, X₀, X₃, X₃, X₄, X₅)
t₈: l4(X₀, X₁, X₂, X₃, X₄, X₅) → l6(X₀, X₁, X₂, X₃-1, X₄, X₅) :|: 0 < X₃
t₅: l5(X₀, X₁, X₂, X₃, X₄, X₅) → l2(X₀, X₁, X₂, X₃, X₄, X₅)
t₉: l6(X₀, X₁, X₂, X₃, X₄, X₅) → l4(X₀, X₁, X₀+X₁+X₂, X₃, X₄, X₅)
t₁₀: l6(X₀, X₁, X₂, X₃, X₄, X₅) → l4(X₀, X₀, X₁, X₃, X₄, X₅)
Preprocessing
Found invariant 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ for location l2
Found invariant 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀ for location l6
Found invariant 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ for location l5
Found invariant X₄ ≤ X₀ for location l1
Found invariant 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ for location l4
Found invariant 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ for location l3
Problem after Preprocessing
Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5, l6
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅) → l1(X₀, X₁, X₂, X₃, X₀, 0)
t₁: l1(X₀, X₁, X₂, X₃, X₄, X₅) → l2(X₀, X₁, X₂, X₃, X₄-1, X₁+X₂) :|: 0 < X₄ ∧ X₄ ≤ X₀
t₆: l2(X₀, X₁, X₂, X₃, X₄, X₅) → l1(X₀, X₁, X₂, X₁+X₂, X₄, X₅) :|: 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀
t₂: l2(X₀, X₁, X₂, X₃, X₄, X₅) → l3(X₀, X₁, X₂, X₃, X₄, X₅-1) :|: 0 < X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀
t₇: l2(X₀, X₁, X₂, X₃, X₄, X₅) → l4(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀
t₃: l3(X₀, X₁, X₂, X₃, X₄, X₅) → l5(X₀, X₃, X₀, X₃, X₄, X₅) :|: 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀
t₄: l3(X₀, X₁, X₂, X₃, X₄, X₅) → l5(X₀, X₀, X₃, X₃, X₄, X₅) :|: 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀
t₈: l4(X₀, X₁, X₂, X₃, X₄, X₅) → l6(X₀, X₁, X₂, X₃-1, X₄, X₅) :|: 0 < X₃ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀
t₅: l5(X₀, X₁, X₂, X₃, X₄, X₅) → l2(X₀, X₁, X₂, X₃, X₄, X₅) :|: 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀
t₉: l6(X₀, X₁, X₂, X₃, X₄, X₅) → l4(X₀, X₁, X₀+X₁+X₂, X₃, X₄, X₅) :|: 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀
t₁₀: l6(X₀, X₁, X₂, X₃, X₄, X₅) → l4(X₀, X₀, X₁, X₃, X₄, X₅) :|: 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀
Solv. Size Bound: t₁: l1→l2 for X₁
Solv. Size Bound: t₁: l1→l2 for X₂
Solv. Size Bound: t₁: l1→l2 for X₃
cycle: [t₆: l2→l1; t₁: l1→l2]
loop: (0 < X₄,(X₁,X₂,X₃) -> (X₁,X₂,X₁+X₂)
overappr. closed-form: 2⋅X₁+2⋅X₂ {O(n)}
runtime bound: X₄+1 {O(n)}
Solv. Size Bound - Lifting for t₁: l1→l2 and X₃: inf {Infinity}
Solv. Size Bound: t₁: l1→l2 for X₅
cycle: [t₆: l2→l1; t₁: l1→l2]
loop: (0 < X₄,(X₁,X₂,X₅) -> (X₁,X₂,X₁+X₂)
overappr. closed-form: 2⋅X₁+2⋅X₂ {O(n)}
runtime bound: X₄+1 {O(n)}
Solv. Size Bound - Lifting for t₁: l1→l2 and X₅: inf {Infinity}
Solv. Size Bound: t₂: l2→l3 for X₁
cycle: [t₂: l2→l3; t₃: l3→l5; t₅: l5→l2]
loop: (0 < X₅,(X₁,X₃) -> (X₃,X₃)
overappr. closed-form: 2⋅X₃ {O(n)}
runtime bound: X₅+1 {O(n)}
Solv. Size Bound - Lifting for t₂: l2→l3 and X₁: inf {Infinity}
Solv. Size Bound: t₂: l2→l3 for X₂
cycle: [t₂: l2→l3; t₃: l3→l5; t₅: l5→l2]
loop: (0 < X₅,(X₀,X₂) -> (X₀,X₀)
overappr. closed-form: 2⋅X₀ {O(n)}
runtime bound: X₅+1 {O(n)}
Solv. Size Bound - Lifting for t₂: l2→l3 and X₂: 4⋅X₀ {O(n)}
Solv. Size Bound: t₃: l3→l5 for X₁
cycle: [t₂: l2→l3; t₅: l5→l2; t₃: l3→l5]
loop: (0 < X₅,(X₁,X₃) -> (X₃,X₃)
overappr. closed-form: 2⋅X₃ {O(n)}
runtime bound: X₅+1 {O(n)}
Solv. Size Bound - Lifting for t₃: l3→l5 and X₁: inf {Infinity}
Solv. Size Bound: t₄: l3→l5 for X₂
cycle: [t₂: l2→l3; t₅: l5→l2; t₄: l3→l5]
loop: (0 < X₅,(X₂,X₃) -> (X₃,X₃)
overappr. closed-form: 2⋅X₃ {O(n)}
runtime bound: X₅+1 {O(n)}
Solv. Size Bound - Lifting for t₄: l3→l5 and X₂: inf {Infinity}
Solv. Size Bound: t₅: l5→l2 for X₁
cycle: [t₅: l5→l2; t₂: l2→l3; t₄: l3→l5]
loop: (0 < X₅,(X₀,X₁) -> (X₀,X₀)
overappr. closed-form: 2⋅X₀ {O(n)}
runtime bound: X₅+1 {O(n)}
Solv. Size Bound - Lifting for t₅: l5→l2 and X₁: 4⋅X₀ {O(n)}
Solv. Size Bound: t₅: l5→l2 for X₂
cycle: [t₅: l5→l2; t₂: l2→l3; t₄: l3→l5]
loop: (0 < X₅,(X₂,X₃) -> (X₃,X₃)
overappr. closed-form: 2⋅X₃ {O(n)}
runtime bound: X₅+1 {O(n)}
Solv. Size Bound - Lifting for t₅: l5→l2 and X₂: inf {Infinity}
Solv. Size Bound: t₆: l2→l1 for X₁
Solv. Size Bound: t₆: l2→l1 for X₂
Solv. Size Bound: t₆: l2→l1 for X₃
cycle: [t₆: l2→l1; t₁: l1→l2]
loop: (0 < X₄,(X₁,X₂,X₃) -> (X₁,X₂,X₁+X₂)
overappr. closed-form: 2⋅X₁+2⋅X₂ {O(n)}
runtime bound: X₄+1 {O(n)}
Solv. Size Bound - Lifting for t₆: l2→l1 and X₃: inf {Infinity}
Solv. Size Bound: t₆: l2→l1 for X₅
cycle: [t₆: l2→l1; t₁: l1→l2]
loop: (0 < X₄,(X₁,X₂,X₅) -> (X₁,X₂,X₁+X₂)
overappr. closed-form: 2⋅X₁+2⋅X₂ {O(n)}
runtime bound: X₄+1 {O(n)}
Solv. Size Bound - Lifting for t₆: l2→l1 and X₅: inf {Infinity}
MPRF for transition t₁: l1(X₀, X₁, X₂, X₃, X₄, X₅) → l2(X₀, X₁, X₂, X₃, X₄-1, X₁+X₂) :|: 0 < X₄ ∧ X₄ ≤ X₀ of depth 1:
new bound:
X₀ {O(n)}
MPRF for transition t₆: l2(X₀, X₁, X₂, X₃, X₄, X₅) → l1(X₀, X₁, X₂, X₁+X₂, X₄, X₅) :|: 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ of depth 1:
new bound:
X₀ {O(n)}
Solv. Size Bound: t₁: l1→l2 for X₁
Solv. Size Bound: t₁: l1→l2 for X₂
Solv. Size Bound - Lifting for t₁: l1→l2 and X₃: 2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+4⋅4^(X₀)⋅X₀+2⋅X₁+2⋅X₂+8⋅X₀ {O(EXP)}
Solv. Size Bound - Lifting for t₁: l1→l2 and X₅: 2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+4⋅4^(X₀)⋅X₀+2⋅X₁+2⋅X₂+8⋅X₀ {O(EXP)}
Solv. Size Bound - Lifting for t₂: l2→l3 and X₁: 4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀ {O(EXP)}
Solv. Size Bound - Lifting for t₃: l3→l5 and X₁: 4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀ {O(EXP)}
Solv. Size Bound - Lifting for t₄: l3→l5 and X₂: 4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀ {O(EXP)}
Solv. Size Bound - Lifting for t₅: l5→l2 and X₂: 4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀ {O(EXP)}
Solv. Size Bound: t₆: l2→l1 for X₁
Solv. Size Bound: t₆: l2→l1 for X₂
Solv. Size Bound - Lifting for t₆: l2→l1 and X₃: 2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+4⋅4^(X₀)⋅X₀+2⋅X₁+2⋅X₂+8⋅X₀ {O(EXP)}
Solv. Size Bound - Lifting for t₆: l2→l1 and X₅: 2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+4⋅4^(X₀)⋅X₀+2⋅X₁+2⋅X₂+8⋅X₀ {O(EXP)}
MPRF for transition t₂: l2(X₀, X₁, X₂, X₃, X₄, X₅) → l3(X₀, X₁, X₂, X₃, X₄, X₅-1) :|: 0 < X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ of depth 1:
new bound:
2⋅4^(X₀)⋅X₀⋅X₁+2⋅4^(X₀)⋅X₀⋅X₂+2⋅4^(X₀)⋅X₀⋅X₃+4⋅4^(X₀)⋅X₀⋅X₀+X₁+X₂ {O(EXP)}
MPRF for transition t₃: l3(X₀, X₁, X₂, X₃, X₄, X₅) → l5(X₀, X₃, X₀, X₃, X₄, X₅) :|: 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ of depth 1:
new bound:
2⋅4^(X₀)⋅X₀⋅X₁+2⋅4^(X₀)⋅X₀⋅X₂+2⋅4^(X₀)⋅X₀⋅X₃+4⋅4^(X₀)⋅X₀⋅X₀+X₁+X₂ {O(EXP)}
MPRF for transition t₄: l3(X₀, X₁, X₂, X₃, X₄, X₅) → l5(X₀, X₀, X₃, X₃, X₄, X₅) :|: 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ of depth 1:
new bound:
2⋅4^(X₀)⋅X₀⋅X₁+2⋅4^(X₀)⋅X₀⋅X₂+2⋅4^(X₀)⋅X₀⋅X₃+4⋅4^(X₀)⋅X₀⋅X₀+X₁+X₂ {O(EXP)}
MPRF for transition t₅: l5(X₀, X₁, X₂, X₃, X₄, X₅) → l2(X₀, X₁, X₂, X₃, X₄, X₅) :|: 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ of depth 1:
new bound:
2⋅4^(X₀)⋅X₀⋅X₁+2⋅4^(X₀)⋅X₀⋅X₂+2⋅4^(X₀)⋅X₀⋅X₃+4⋅4^(X₀)⋅X₀⋅X₀+X₁+X₂ {O(EXP)}
Solv. Size Bound: t₁: l1→l2 for X₁
Solv. Size Bound: t₁: l1→l2 for X₂
Solv. Size Bound - Lifting for t₁: l1→l2 and X₃: 2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+4⋅4^(X₀)⋅X₀+2⋅X₁+2⋅X₂+8⋅X₀ {O(EXP)}
Solv. Size Bound - Lifting for t₁: l1→l2 and X₅: 2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+4⋅4^(X₀)⋅X₀+2⋅X₁+2⋅X₂+8⋅X₀ {O(EXP)}
Solv. Size Bound - Lifting for t₂: l2→l3 and X₁: 4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀ {O(EXP)}
Solv. Size Bound - Lifting for t₃: l3→l5 and X₁: 4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀ {O(EXP)}
Solv. Size Bound - Lifting for t₄: l3→l5 and X₂: 4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀ {O(EXP)}
Solv. Size Bound - Lifting for t₅: l5→l2 and X₂: 4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀ {O(EXP)}
Solv. Size Bound: t₆: l2→l1 for X₁
Solv. Size Bound: t₆: l2→l1 for X₂
Solv. Size Bound - Lifting for t₆: l2→l1 and X₃: 2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+4⋅4^(X₀)⋅X₀+2⋅X₁+2⋅X₂+8⋅X₀ {O(EXP)}
Solv. Size Bound - Lifting for t₆: l2→l1 and X₅: 2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+4⋅4^(X₀)⋅X₀+2⋅X₁+2⋅X₂+8⋅X₀ {O(EXP)}
Chain transitions t₆: l2→l1 and t₁: l1→l2 to t₁₉₉: l2→l2
Chain transitions t₀: l0→l1 and t₁: l1→l2 to t₂₀₀: l0→l2
Chain transitions t₂: l2→l3 and t₄: l3→l5 to t₂₀₁: l2→l5
Chain transitions t₂: l2→l3 and t₃: l3→l5 to t₂₀₂: l2→l5
Chain transitions t₂₀₂: l2→l5 and t₅: l5→l2 to t₂₀₃: l2→l2
Chain transitions t₂₀₁: l2→l5 and t₅: l5→l2 to t₂₀₄: l2→l2
Analysing control-flow refined program
Found invariant 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ for location l2
Found invariant 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀ for location l6
Found invariant 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ for location l5
Found invariant X₄ ≤ X₀ for location l1
Found invariant 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ for location l4
Found invariant 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ for location l3
Solv. Size Bound: t₁₉₉: l2→l2 for X₁
Solv. Size Bound: t₁₉₉: l2→l2 for X₂
Solv. Size Bound: t₁₉₉: l2→l2 for X₃
cycle: [t₁₉₉: l2→l2]
loop: (0 < X₄,(X₁,X₂,X₃) -> (X₁,X₂,X₁+X₂)
overappr. closed-form: 2⋅X₁+2⋅X₂ {O(n)}
runtime bound: X₄+1 {O(n)}
Solv. Size Bound - Lifting for t₁₉₉: l2→l2 and X₃: inf {Infinity}
Solv. Size Bound: t₁₉₉: l2→l2 for X₅
cycle: [t₁₉₉: l2→l2]
loop: (0 < X₄,(X₁,X₂,X₅) -> (X₁,X₂,X₁+X₂)
overappr. closed-form: 2⋅X₁+2⋅X₂ {O(n)}
runtime bound: X₄+1 {O(n)}
Solv. Size Bound - Lifting for t₁₉₉: l2→l2 and X₅: inf {Infinity}
Solv. Size Bound: t₂₀₃: l2→l2 for X₁
cycle: [t₂₀₃: l2→l2]
loop: (0 < X₅,(X₁,X₃) -> (X₃,X₃)
overappr. closed-form: 2⋅X₃ {O(n)}
runtime bound: X₅+1 {O(n)}
Solv. Size Bound - Lifting for t₂₀₃: l2→l2 and X₁: inf {Infinity}
Solv. Size Bound: t₂₀₄: l2→l2 for X₂
cycle: [t₂₀₄: l2→l2]
loop: (0 < X₅,(X₂,X₃) -> (X₃,X₃)
overappr. closed-form: 2⋅X₃ {O(n)}
runtime bound: X₅+1 {O(n)}
Solv. Size Bound - Lifting for t₂₀₄: l2→l2 and X₂: inf {Infinity}
MPRF for transition t₁₉₉: l2(X₀, X₁, X₂, X₃, X₄, X₅) -{2}> l2(X₀, X₁, X₂, X₁+X₂, X₄-1, X₁+X₂) :|: 0 < X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ ∧ X₄ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ of depth 1:
new bound:
X₀+1 {O(n)}
Solv. Size Bound: t₁₉₉: l2→l2 for X₁
Solv. Size Bound: t₁₉₉: l2→l2 for X₂
Solv. Size Bound - Lifting for t₁₉₉: l2→l2 and X₃: 32⋅4^(X₀+1)⋅X₀+4⋅4^(X₀+1)⋅X₁+4⋅4^(X₀+1)⋅X₂+4⋅4^(X₀+1)⋅X₃+16⋅X₀+2⋅X₁+2⋅X₂ {O(EXP)}
Solv. Size Bound - Lifting for t₁₉₉: l2→l2 and X₅: 32⋅4^(X₀+1)⋅X₀+4⋅4^(X₀+1)⋅X₁+4⋅4^(X₀+1)⋅X₂+4⋅4^(X₀+1)⋅X₃+16⋅X₀+2⋅X₁+2⋅X₂ {O(EXP)}
Solv. Size Bound - Lifting for t₂₀₃: l2→l2 and X₁: 32⋅4^(X₀+1)⋅X₀+4⋅4^(X₀+1)⋅X₁+4⋅4^(X₀+1)⋅X₂+4⋅4^(X₀+1)⋅X₃+2⋅X₃ {O(EXP)}
Solv. Size Bound - Lifting for t₂₀₄: l2→l2 and X₂: 32⋅4^(X₀+1)⋅X₀+4⋅4^(X₀+1)⋅X₁+4⋅4^(X₀+1)⋅X₂+4⋅4^(X₀+1)⋅X₃+2⋅X₃ {O(EXP)}
MPRF for transition t₂₀₃: l2(X₀, X₁, X₂, X₃, X₄, X₅) -{3}> l2(X₀, X₃, X₀, X₃, X₄, X₅-1) :|: 0 < X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 2 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 2 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ of depth 1:
new bound:
32⋅4^(X₀+1)⋅X₀+32⋅4^(X₀+1)⋅X₀⋅X₀+4⋅4^(X₀+1)⋅X₀⋅X₁+4⋅4^(X₀+1)⋅X₀⋅X₂+4⋅4^(X₀+1)⋅X₀⋅X₃+4⋅4^(X₀+1)⋅X₁+4⋅4^(X₀+1)⋅X₂+4⋅4^(X₀+1)⋅X₃+8⋅X₀⋅X₀+X₀⋅X₁+X₀⋅X₂+2⋅X₁+2⋅X₂+8⋅X₀ {O(EXP)}
MPRF for transition t₂₀₄: l2(X₀, X₁, X₂, X₃, X₄, X₅) -{3}> l2(X₀, X₀, X₃, X₃, X₄, X₅-1) :|: 0 < X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 2 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 2 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ of depth 1:
new bound:
32⋅4^(X₀+1)⋅X₀+32⋅4^(X₀+1)⋅X₀⋅X₀+4⋅4^(X₀+1)⋅X₀⋅X₁+4⋅4^(X₀+1)⋅X₀⋅X₂+4⋅4^(X₀+1)⋅X₀⋅X₃+4⋅4^(X₀+1)⋅X₁+4⋅4^(X₀+1)⋅X₂+4⋅4^(X₀+1)⋅X₃+8⋅X₀⋅X₀+X₀⋅X₁+X₀⋅X₂+2⋅X₁+2⋅X₂+8⋅X₀ {O(EXP)}
Solv. Size Bound: t₁₉₉: l2→l2 for X₁
Solv. Size Bound: t₁₉₉: l2→l2 for X₂
Solv. Size Bound - Lifting for t₁₉₉: l2→l2 and X₃: 32⋅4^(X₀+1)⋅X₀+4⋅4^(X₀+1)⋅X₁+4⋅4^(X₀+1)⋅X₂+4⋅4^(X₀+1)⋅X₃+16⋅X₀+2⋅X₁+2⋅X₂ {O(EXP)}
Solv. Size Bound - Lifting for t₁₉₉: l2→l2 and X₅: 32⋅4^(X₀+1)⋅X₀+4⋅4^(X₀+1)⋅X₁+4⋅4^(X₀+1)⋅X₂+4⋅4^(X₀+1)⋅X₃+16⋅X₀+2⋅X₁+2⋅X₂ {O(EXP)}
Solv. Size Bound - Lifting for t₂₀₃: l2→l2 and X₁: 32⋅4^(X₀+1)⋅X₀+4⋅4^(X₀+1)⋅X₁+4⋅4^(X₀+1)⋅X₂+4⋅4^(X₀+1)⋅X₃+2⋅X₃ {O(EXP)}
Solv. Size Bound - Lifting for t₂₀₄: l2→l2 and X₂: 32⋅4^(X₀+1)⋅X₀+4⋅4^(X₀+1)⋅X₁+4⋅4^(X₀+1)⋅X₂+4⋅4^(X₀+1)⋅X₃+2⋅X₃ {O(EXP)}
CFR did not improve the program. Rolling back
CFR did not improve the program. Rolling back
Analysing control-flow refined program
Found invariant 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ for location l2
Found invariant 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ for location n_l3___4
Found invariant 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀ for location l6
Found invariant 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ for location n_l2___1
Found invariant 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 1 ≤ X₀ for location n_l5___2
Found invariant X₄ ≤ X₀ for location l1
Found invariant 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ for location l4
Found invariant 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₂ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₃ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1 ≤ X₀ for location n_l5___3
Solv. Size Bound: t₁: l1→l2 for X₁
cycle: [t₁: l1→l2; t₃₂₀: l2→n_l3___4; t₃₂₂: n_l3___4→n_l5___3; t₃₂₄: n_l5___3→n_l2___1; t₃₃₂: n_l2___1→l1]
loop: (0 < X₄ ∧ 0 < X₁+X₂ ∧ 0 < X₁+X₂ ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0,(X₀,X₁,X₃) -> (X₀,X₃,X₃+X₀)
overappr. closed-form: X₀⋅n+2⋅X₃+X₀ {O(n^2)}
runtime bound: X₄+1 {O(n)}
Solv. Size Bound - Lifting for t₁: l1→l2 and X₁: inf {Infinity}
Solv. Size Bound: t₁: l1→l2 for X₂
cycle: [t₁: l1→l2; t₃₂₀: l2→n_l3___4; t₃₂₂: n_l3___4→n_l5___3; t₃₂₄: n_l5___3→n_l2___1; t₃₃₂: n_l2___1→l1]
loop: (0 < X₄ ∧ 0 < X₁+X₂ ∧ 0 < X₁+X₂ ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0,(X₀,X₂) -> (X₀,X₀)
overappr. closed-form: 2⋅X₀ {O(n)}
runtime bound: X₄+1 {O(n)}
Solv. Size Bound - Lifting for t₁: l1→l2 and X₂: 8⋅X₀ {O(n)}
Solv. Size Bound: t₁: l1→l2 for X₃
cycle: [t₁: l1→l2; t₃₂₀: l2→n_l3___4; t₃₂₂: n_l3___4→n_l5___3; t₃₂₄: n_l5___3→n_l2___1; t₃₃₂: n_l2___1→l1]
loop: (0 < X₄ ∧ 0 < X₁+X₂ ∧ 0 < X₁+X₂ ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0,(X₀,X₃) -> (X₀,X₃+X₀)
overappr. closed-form: X₀⋅n+X₃ {O(n^2)}
runtime bound: X₄+1 {O(n)}
Solv. Size Bound - Lifting for t₁: l1→l2 and X₃: 2⋅4^(X₀)⋅X₀+4^(X₀)⋅X₁+4^(X₀)⋅X₂+4^(X₀)⋅X₃+2⋅X₀⋅X₀+2⋅X₀+X₃ {O(EXP)}
Solv. Size Bound: t₁: l1→l2 for X₅
cycle: [t₆: l2→l1; t₁: l1→l2]
loop: (0 < X₄,(X₁,X₂,X₅) -> (X₁,X₂,X₁+X₂)
overappr. closed-form: 2⋅X₁+2⋅X₂ {O(n)}
runtime bound: X₄+1 {O(n)}
Solv. Size Bound - Lifting for t₁: l1→l2 and X₅: inf {Infinity}
Solv. Size Bound: t₆: l2→l1 for X₁
Solv. Size Bound: t₆: l2→l1 for X₂
Solv. Size Bound - Lifting for t₆: l2→l1 and X₃: inf {Infinity}
Solv. Size Bound - Lifting for t₆: l2→l1 and X₅: inf {Infinity}
Solv. Size Bound: t₃₁₉: n_l2___1→n_l3___4 for X₁
cycle: [t₃₁₉: n_l2___1→n_l3___4; t₃₂₁: n_l3___4→n_l5___2; t₃₂₃: n_l5___2→n_l2___1]
loop: (0 ≤ X₅ ∧ 0 < X₅ ∧ 0 < X₅ ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0,(X₀,X₁) -> (X₀,X₀)
overappr. closed-form: 2⋅X₀ {O(n)}
runtime bound: X₅+2 {O(n)}
Solv. Size Bound - Lifting for t₃₁₉: n_l2___1→n_l3___4 and X₁: 4⋅X₀ {O(n)}
Solv. Size Bound: t₃₁₉: n_l2___1→n_l3___4 for X₂
cycle: [t₃₁₉: n_l2___1→n_l3___4; t₃₂₁: n_l3___4→n_l5___2; t₃₂₃: n_l5___2→n_l2___1]
loop: (0 ≤ X₅ ∧ 0 < X₅ ∧ 0 < X₅ ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0,(X₂,X₃) -> (X₃,X₃)
overappr. closed-form: 2⋅X₃ {O(n)}
runtime bound: X₅+2 {O(n)}
Solv. Size Bound - Lifting for t₃₁₉: n_l2___1→n_l3___4 and X₂: inf {Infinity}
Solv. Size Bound: t₃₂₀: l2→n_l3___4 for X₁
cycle: [t₃₂₀: l2→n_l3___4; t₃₂₁: n_l3___4→n_l5___2; t₃₂₃: n_l5___2→n_l2___1; t₃₃₂: n_l2___1→l1; t₁: l1→l2]
loop: (0 < X₅ ∧ 0 < X₅ ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 < X₄,(X₀,X₁) -> (X₀,X₀)
overappr. closed-form: 2⋅X₀ {O(n)}
runtime bound: X₄+1 {O(n)}
Solv. Size Bound - Lifting for t₃₂₀: l2→n_l3___4 and X₁: 8⋅X₀ {O(n)}
Solv. Size Bound: t₃₂₀: l2→n_l3___4 for X₂
cycle: [t₃₂₀: l2→n_l3___4; t₃₂₁: n_l3___4→n_l5___2; t₃₂₃: n_l5___2→n_l2___1; t₃₃₂: n_l2___1→l1; t₁: l1→l2]
loop: (0 < X₅ ∧ 0 < X₅ ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 < X₄,(X₀,X₂,X₃) -> (X₀,X₃,X₀+X₃)
overappr. closed-form: X₀⋅n+2⋅X₃+X₀ {O(n^2)}
runtime bound: X₄+1 {O(n)}
Solv. Size Bound - Lifting for t₃₂₀: l2→n_l3___4 and X₂: inf {Infinity}
Solv. Size Bound: t₃₂₀: l2→n_l3___4 for X₃
cycle: [t₃₂₀: l2→n_l3___4; t₃₂₁: n_l3___4→n_l5___2; t₃₂₃: n_l5___2→n_l2___1; t₃₃₂: n_l2___1→l1; t₁: l1→l2]
loop: (0 < X₅ ∧ 0 < X₅ ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 < X₄,(X₀,X₃) -> (X₀,X₀+X₃)
overappr. closed-form: X₀⋅n+X₃ {O(n^2)}
runtime bound: X₄+1 {O(n)}
Solv. Size Bound - Lifting for t₃₂₀: l2→n_l3___4 and X₃: 2⋅4^(X₀)⋅X₀+4^(X₀)⋅X₁+4^(X₀)⋅X₂+4^(X₀)⋅X₃+2⋅X₀⋅X₀+2⋅X₀+X₃ {O(EXP)}
Solv. Size Bound: t₃₂₀: l2→n_l3___4 for X₅
cycle: [t₃₂₀: l2→n_l3___4; t₃₂₁: n_l3___4→n_l5___2; t₃₂₃: n_l5___2→n_l2___1; t₃₃₂: n_l2___1→l1; t₁: l1→l2]
loop: (0 < X₅ ∧ 0 < X₅ ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 < X₄,(X₀,X₃,X₅) -> (X₀,X₀+X₃,X₀+X₃)
overappr. closed-form: X₀⋅n+2⋅X₃+X₀ {O(n^2)}
runtime bound: X₄+1 {O(n)}
Solv. Size Bound - Lifting for t₃₂₀: l2→n_l3___4 and X₅: inf {Infinity}
Solv. Size Bound: t₃₂₁: n_l3___4→n_l5___2 for X₂
cycle: [t₃₂₁: n_l3___4→n_l5___2; t₃₂₃: n_l5___2→n_l2___1; t₃₃₂: n_l2___1→l1; t₁: l1→l2; t₃₂₀: l2→n_l3___4]
loop: (0 < 1+X₅ ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 < X₄ ∧ 0 < X₀+X₃,(X₀,X₂,X₃) -> (X₀,X₃,X₀+X₃)
overappr. closed-form: X₀⋅n+2⋅X₃+X₀ {O(n^2)}
runtime bound: X₄+1 {O(n)}
Solv. Size Bound - Lifting for t₃₂₁: n_l3___4→n_l5___2 and X₂: inf {Infinity}
Solv. Size Bound: t₃₂₁: n_l3___4→n_l5___2 for X₃
cycle: [t₃₂₁: n_l3___4→n_l5___2; t₃₂₃: n_l5___2→n_l2___1; t₃₃₂: n_l2___1→l1; t₁: l1→l2; t₃₂₀: l2→n_l3___4]
loop: (0 < 1+X₅ ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 < X₄ ∧ 0 < X₀+X₃,(X₀,X₃) -> (X₀,X₀+X₃)
overappr. closed-form: X₀⋅n+X₃ {O(n^2)}
runtime bound: X₄+1 {O(n)}
Solv. Size Bound - Lifting for t₃₂₁: n_l3___4→n_l5___2 and X₃: 2⋅4^(X₀)⋅X₀+4^(X₀)⋅X₁+4^(X₀)⋅X₂+4^(X₀)⋅X₃+2⋅X₀⋅X₀+2⋅X₀+X₃ {O(EXP)}
Solv. Size Bound: t₃₂₂: n_l3___4→n_l5___3 for X₁
cycle: [t₃₂₂: n_l3___4→n_l5___3; t₃₂₄: n_l5___3→n_l2___1; t₃₃₂: n_l2___1→l1; t₁: l1→l2; t₃₂₀: l2→n_l3___4]
loop: (0 < 1+X₅ ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 < X₄ ∧ 0 < X₃+X₀,(X₀,X₁,X₃) -> (X₀,X₃,X₃+X₀)
overappr. closed-form: X₀⋅n+2⋅X₃+X₀ {O(n^2)}
runtime bound: X₄+1 {O(n)}
Solv. Size Bound - Lifting for t₃₂₂: n_l3___4→n_l5___3 and X₁: inf {Infinity}
Solv. Size Bound: t₃₂₂: n_l3___4→n_l5___3 for X₃
cycle: [t₃₂₂: n_l3___4→n_l5___3; t₃₂₄: n_l5___3→n_l2___1; t₃₃₂: n_l2___1→l1; t₁: l1→l2; t₃₂₀: l2→n_l3___4]
loop: (0 < 1+X₅ ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 < X₄ ∧ 0 < X₃+X₀,(X₀,X₃) -> (X₀,X₃+X₀)
overappr. closed-form: X₀⋅n+X₃ {O(n^2)}
runtime bound: X₄+1 {O(n)}
Solv. Size Bound - Lifting for t₃₂₂: n_l3___4→n_l5___3 and X₃: 2⋅4^(X₀)⋅X₀+4^(X₀)⋅X₁+4^(X₀)⋅X₂+4^(X₀)⋅X₃+2⋅X₀⋅X₀+2⋅X₀+X₃ {O(EXP)}
Solv. Size Bound: t₃₂₃: n_l5___2→n_l2___1 for X₂
cycle: [t₃₂₁: n_l3___4→n_l5___2; t₃₂₀: l2→n_l3___4; t₁: l1→l2; t₃₃₂: n_l2___1→l1; t₃₂₃: n_l5___2→n_l2___1]
loop: (X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ X₂ ≤ X₃ ∧ X₃ ≤ X₂ ∧ 0 < 1+X₅ ∧ 0 < X₅ ∧ 0 < X₄,(X₀,X₂,X₃) -> (X₀,X₃,X₀+X₃)
overappr. closed-form: X₀⋅n+2⋅X₃+X₀ {O(n^2)}
runtime bound: X₄+1 {O(n)}
Solv. Size Bound - Lifting for t₃₂₃: n_l5___2→n_l2___1 and X₂: inf {Infinity}
Solv. Size Bound: t₃₂₃: n_l5___2→n_l2___1 for X₃
cycle: [t₃₂₁: n_l3___4→n_l5___2; t₃₂₀: l2→n_l3___4; t₁: l1→l2; t₃₃₂: n_l2___1→l1; t₃₂₃: n_l5___2→n_l2___1]
loop: (X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ X₂ ≤ X₃ ∧ X₃ ≤ X₂ ∧ 0 < 1+X₅ ∧ 0 < X₅ ∧ 0 < X₄,(X₀,X₃) -> (X₀,X₀+X₃)
overappr. closed-form: X₀⋅n+X₃ {O(n^2)}
runtime bound: X₄+1 {O(n)}
Solv. Size Bound - Lifting for t₃₂₃: n_l5___2→n_l2___1 and X₃: 2⋅4^(X₀)⋅X₀+4^(X₀)⋅X₁+4^(X₀)⋅X₂+4^(X₀)⋅X₃+2⋅X₀⋅X₀+2⋅X₀+X₃ {O(EXP)}
Solv. Size Bound: t₃₂₃: n_l5___2→n_l2___1 for X₅
cycle: [t₃₂₁: n_l3___4→n_l5___2; t₃₂₀: l2→n_l3___4; t₁: l1→l2; t₃₃₂: n_l2___1→l1; t₃₂₃: n_l5___2→n_l2___1]
loop: (X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ X₂ ≤ X₃ ∧ X₃ ≤ X₂ ∧ 0 < 1+X₅ ∧ 0 < X₅ ∧ 0 < X₄,(X₀,X₃,X₅) -> (X₀,X₀+X₃,X₀+X₃)
overappr. closed-form: X₀⋅n+2⋅X₃+X₀ {O(n^2)}
runtime bound: X₄+1 {O(n)}
Solv. Size Bound - Lifting for t₃₂₃: n_l5___2→n_l2___1 and X₅: inf {Infinity}
Solv. Size Bound: t₃₂₄: n_l5___3→n_l2___1 for X₁
cycle: [t₃₂₂: n_l3___4→n_l5___3; t₃₂₀: l2→n_l3___4; t₁: l1→l2; t₃₃₂: n_l2___1→l1; t₃₂₄: n_l5___3→n_l2___1]
loop: (X₀ ≤ X₂ ∧ X₂ ≤ X₀ ∧ X₁ ≤ X₃ ∧ X₃ ≤ X₁ ∧ 0 < 1+X₅ ∧ 0 < X₅ ∧ 0 < X₄,(X₀,X₁,X₃) -> (X₀,X₃,X₃+X₀)
overappr. closed-form: X₀⋅n+2⋅X₃+X₀ {O(n^2)}
runtime bound: X₄+1 {O(n)}
Solv. Size Bound - Lifting for t₃₂₄: n_l5___3→n_l2___1 and X₁: inf {Infinity}
Solv. Size Bound: t₃₂₄: n_l5___3→n_l2___1 for X₃
cycle: [t₃₂₂: n_l3___4→n_l5___3; t₃₂₀: l2→n_l3___4; t₁: l1→l2; t₃₃₂: n_l2___1→l1; t₃₂₄: n_l5___3→n_l2___1]
loop: (X₀ ≤ X₂ ∧ X₂ ≤ X₀ ∧ X₁ ≤ X₃ ∧ X₃ ≤ X₁ ∧ 0 < 1+X₅ ∧ 0 < X₅ ∧ 0 < X₄,(X₀,X₃) -> (X₀,X₃+X₀)
overappr. closed-form: X₀⋅n+X₃ {O(n^2)}
runtime bound: X₄+1 {O(n)}
Solv. Size Bound - Lifting for t₃₂₄: n_l5___3→n_l2___1 and X₃: 2⋅4^(X₀)⋅X₀+4^(X₀)⋅X₁+4^(X₀)⋅X₂+4^(X₀)⋅X₃+2⋅X₀⋅X₀+2⋅X₀+X₃ {O(EXP)}
Solv. Size Bound: t₃₂₄: n_l5___3→n_l2___1 for X₅
cycle: [t₃₂₂: n_l3___4→n_l5___3; t₃₂₀: l2→n_l3___4; t₁: l1→l2; t₃₃₂: n_l2___1→l1; t₃₂₄: n_l5___3→n_l2___1]
loop: (X₀ ≤ X₂ ∧ X₂ ≤ X₀ ∧ X₁ ≤ X₃ ∧ X₃ ≤ X₁ ∧ 0 < 1+X₅ ∧ 0 < X₅ ∧ 0 < X₄,(X₀,X₃,X₅) -> (X₀,X₃+X₀,X₃+X₀)
overappr. closed-form: X₀⋅n+2⋅X₃+X₀ {O(n^2)}
runtime bound: X₄+1 {O(n)}
Solv. Size Bound - Lifting for t₃₂₄: n_l5___3→n_l2___1 and X₅: inf {Infinity}
Solv. Size Bound: t₃₃₂: n_l2___1→l1 for X₁
cycle: [t₃₃₂: n_l2___1→l1; t₁: l1→l2; t₃₂₀: l2→n_l3___4; t₃₂₁: n_l3___4→n_l5___2; t₃₂₃: n_l5___2→n_l2___1]
loop: (0 < X₄ ∧ 0 < X₁+X₂ ∧ 0 < X₁+X₂ ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0,(X₀,X₁) -> (X₀,X₀)
overappr. closed-form: 2⋅X₀ {O(n)}
runtime bound: X₄+1 {O(n)}
Solv. Size Bound - Lifting for t₃₃₂: n_l2___1→l1 and X₁: 8⋅X₀ {O(n)}
Solv. Size Bound: t₃₃₂: n_l2___1→l1 for X₂
cycle: [t₃₃₂: n_l2___1→l1; t₁: l1→l2; t₃₂₀: l2→n_l3___4; t₃₂₁: n_l3___4→n_l5___2; t₃₂₃: n_l5___2→n_l2___1]
loop: (0 < X₄ ∧ 0 < X₁+X₂ ∧ 0 < X₁+X₂ ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0,(X₀,X₁,X₂) -> (X₀,X₀,X₁+X₂)
overappr. closed-form: X₀⋅n+2⋅X₁+2⋅X₂+X₀ {O(n^2)}
runtime bound: X₄+1 {O(n)}
Solv. Size Bound - Lifting for t₃₃₂: n_l2___1→l1 and X₂: inf {Infinity}
Solv. Size Bound: t₃₃₂: n_l2___1→l1 for X₃
cycle: [t₃₃₂: n_l2___1→l1; t₁: l1→l2; t₃₂₀: l2→n_l3___4; t₃₂₁: n_l3___4→n_l5___2; t₃₂₃: n_l5___2→n_l2___1]
loop: (0 < X₄ ∧ 0 < X₁+X₂ ∧ 0 < X₁+X₂ ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0,(X₀,X₁,X₂,X₃) -> (X₀,X₀,X₁+X₂,X₁+X₂)
overappr. closed-form: X₀⋅n+2⋅X₀+3⋅X₁+3⋅X₂ {O(n^2)}
runtime bound: X₄+1 {O(n)}
Solv. Size Bound - Lifting for t₃₃₂: n_l2___1→l1 and X₃: inf {Infinity}
knowledge_propagation leads to new time bound X₀ {O(n)} for transition t₃₂₀: l2(X₀, X₁, X₂, X₃, X₄, X₅) → n_l3___4(X₀, X₁, X₂, X₃, X₄, X₅-1) :|: 0 < X₅ ∧ 1+X₄ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀
MPRF for transition t₃₁₉: n_l2___1(X₀, X₁, X₂, X₃, X₄, X₅) → n_l3___4(X₀, X₁, X₂, X₃, X₄, X₅-1) :|: 0 ≤ X₅ ∧ 0 < X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ of depth 1:
new bound:
2⋅4^(X₀)⋅X₀⋅X₁+2⋅4^(X₀)⋅X₀⋅X₂+2⋅4^(X₀)⋅X₀⋅X₃+4⋅4^(X₀)⋅X₀⋅X₀+X₀⋅X₁+X₀⋅X₂+X₀ {O(EXP)}
MPRF for transition t₃₂₁: n_l3___4(X₀, X₁, X₂, X₃, X₄, X₅) → n_l5___2(X₀, X₀, X₃, X₃, X₄, X₅) :|: 0 < 1+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ of depth 1:
new bound:
2⋅4^(X₀)⋅X₀⋅X₁+2⋅4^(X₀)⋅X₀⋅X₂+2⋅4^(X₀)⋅X₀⋅X₃+4⋅4^(X₀)⋅X₀⋅X₀+X₀⋅X₁+X₀⋅X₂+X₀ {O(EXP)}
MPRF for transition t₃₂₂: n_l3___4(X₀, X₁, X₂, X₃, X₄, X₅) → n_l5___3(X₀, X₃, X₀, X₃, X₄, X₅) :|: 0 < 1+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ of depth 1:
new bound:
2⋅4^(X₀)⋅X₀⋅X₁+2⋅4^(X₀)⋅X₀⋅X₂+2⋅4^(X₀)⋅X₀⋅X₃+4⋅4^(X₀)⋅X₀⋅X₀+X₀⋅X₁+X₀⋅X₂+X₀ {O(EXP)}
MPRF for transition t₃₂₃: n_l5___2(X₀, X₁, X₂, X₃, X₄, X₅) → n_l2___1(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ X₂ ≤ X₃ ∧ X₃ ≤ X₂ ∧ 0 ≤ X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₁+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 1 ≤ X₀ of depth 1:
new bound:
2⋅4^(X₀)⋅X₀⋅X₁+2⋅4^(X₀)⋅X₀⋅X₂+2⋅4^(X₀)⋅X₀⋅X₃+4⋅4^(X₀)⋅X₀⋅X₀+X₀⋅X₁+X₀⋅X₂+2⋅X₀ {O(EXP)}
MPRF for transition t₃₂₄: n_l5___3(X₀, X₁, X₂, X₃, X₄, X₅) → n_l2___1(X₀, X₁, X₂, X₃, X₄, X₅) :|: X₀ ≤ X₂ ∧ X₂ ≤ X₀ ∧ X₁ ≤ X₃ ∧ X₃ ≤ X₁ ∧ 0 ≤ X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₅ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₂+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₂ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₃ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1 ≤ X₀ of depth 1:
new bound:
2⋅4^(X₀)⋅X₀⋅X₁+2⋅4^(X₀)⋅X₀⋅X₂+2⋅4^(X₀)⋅X₀⋅X₃+4⋅4^(X₀)⋅X₀⋅X₀+X₀⋅X₁+X₀⋅X₂+X₀ {O(EXP)}
MPRF for transition t₃₃₂: n_l2___1(X₀, X₁, X₂, X₃, X₄, X₅) → l1(X₀, X₁, X₂, X₁+X₂, X₄, X₅) :|: 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ of depth 1:
new bound:
X₀ {O(n)}
Solv. Size Bound - Lifting for t₁: l1→l2 and X₁: 2⋅2^(X₀)⋅2^(X₀)⋅X₁+2⋅2^(X₀)⋅2^(X₀)⋅X₂+2⋅2^(X₀)⋅2^(X₀)⋅X₃+2^(X₀)⋅2^(X₀)⋅8⋅X₀+4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀+8⋅X₀⋅X₀+12⋅X₀+4⋅X₃ {O(EXP)}
Solv. Size Bound - Lifting for t₁: l1→l2 and X₃: 2⋅4^(X₀)⋅X₀+4^(X₀)⋅X₁+4^(X₀)⋅X₂+4^(X₀)⋅X₃+2⋅X₀⋅X₀+2⋅X₀+X₃ {O(EXP)}
Solv. Size Bound - Lifting for t₁: l1→l2 and X₅: 2⋅2^(X₀)⋅2^(X₀)⋅X₁+2⋅2^(X₀)⋅2^(X₀)⋅X₂+2⋅2^(X₀)⋅2^(X₀)⋅X₃+2^(X₀)⋅2^(X₀)⋅8⋅X₀+16⋅X₀+2⋅X₁+2⋅X₂ {O(EXP)}
Solv. Size Bound: t₆: l2→l1 for X₁
Solv. Size Bound: t₆: l2→l1 for X₂
Solv. Size Bound - Lifting for t₆: l2→l1 and X₃: inf {Infinity}
Solv. Size Bound - Lifting for t₆: l2→l1 and X₅: inf {Infinity}
Solv. Size Bound - Lifting for t₃₁₉: n_l2___1→n_l3___4 and X₂: 4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀+8⋅X₀⋅X₀+4⋅X₃+8⋅X₀ {O(EXP)}
Solv. Size Bound - Lifting for t₃₂₀: l2→n_l3___4 and X₃: 2⋅4^(X₀)⋅X₀+4^(X₀)⋅X₁+4^(X₀)⋅X₂+4^(X₀)⋅X₃+2⋅X₀⋅X₀+2⋅X₀+X₃ {O(EXP)}
Solv. Size Bound - Lifting for t₃₂₀: l2→n_l3___4 and X₅: 2⋅2^(X₀)⋅2^(X₀)⋅X₁+2⋅2^(X₀)⋅2^(X₀)⋅X₂+2⋅2^(X₀)⋅2^(X₀)⋅X₃+2^(X₀)⋅2^(X₀)⋅8⋅X₀+4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀+8⋅X₀⋅X₀+12⋅X₀+4⋅X₃ {O(EXP)}
Solv. Size Bound - Lifting for t₃₂₁: n_l3___4→n_l5___2 and X₂: 2⋅2^(X₀)⋅2^(X₀)⋅X₁+2⋅2^(X₀)⋅2^(X₀)⋅X₂+2⋅2^(X₀)⋅2^(X₀)⋅X₃+2^(X₀)⋅2^(X₀)⋅8⋅X₀+4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀+8⋅X₀⋅X₀+12⋅X₀+4⋅X₃ {O(EXP)}
Solv. Size Bound - Lifting for t₃₂₁: n_l3___4→n_l5___2 and X₃: 2⋅4^(X₀)⋅X₀+4^(X₀)⋅X₁+4^(X₀)⋅X₂+4^(X₀)⋅X₃+2⋅X₀⋅X₀+2⋅X₀+X₃ {O(EXP)}
Solv. Size Bound - Lifting for t₃₂₂: n_l3___4→n_l5___3 and X₁: 2⋅2^(X₀)⋅2^(X₀)⋅X₁+2⋅2^(X₀)⋅2^(X₀)⋅X₂+2⋅2^(X₀)⋅2^(X₀)⋅X₃+2^(X₀)⋅2^(X₀)⋅8⋅X₀+4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀+8⋅X₀⋅X₀+12⋅X₀+4⋅X₃ {O(EXP)}
Solv. Size Bound - Lifting for t₃₂₂: n_l3___4→n_l5___3 and X₃: 2⋅4^(X₀)⋅X₀+4^(X₀)⋅X₁+4^(X₀)⋅X₂+4^(X₀)⋅X₃+2⋅X₀⋅X₀+2⋅X₀+X₃ {O(EXP)}
Solv. Size Bound - Lifting for t₃₂₃: n_l5___2→n_l2___1 and X₂: 2⋅2^(X₀)⋅2^(X₀)⋅X₁+2⋅2^(X₀)⋅2^(X₀)⋅X₂+2⋅2^(X₀)⋅2^(X₀)⋅X₃+2^(X₀)⋅2^(X₀)⋅8⋅X₀+4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀+8⋅X₀⋅X₀+12⋅X₀+4⋅X₃ {O(EXP)}
Solv. Size Bound - Lifting for t₃₂₃: n_l5___2→n_l2___1 and X₃: 2⋅4^(X₀)⋅X₀+4^(X₀)⋅X₁+4^(X₀)⋅X₂+4^(X₀)⋅X₃+2⋅X₀⋅X₀+2⋅X₀+X₃ {O(EXP)}
Solv. Size Bound - Lifting for t₃₂₃: n_l5___2→n_l2___1 and X₅: 2⋅2^(X₀)⋅2^(X₀)⋅X₁+2⋅2^(X₀)⋅2^(X₀)⋅X₂+2⋅2^(X₀)⋅2^(X₀)⋅X₃+2^(X₀)⋅2^(X₀)⋅8⋅X₀+4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀+8⋅X₀⋅X₀+12⋅X₀+4⋅X₃ {O(EXP)}
Solv. Size Bound - Lifting for t₃₂₄: n_l5___3→n_l2___1 and X₁: 2⋅2^(X₀)⋅2^(X₀)⋅X₁+2⋅2^(X₀)⋅2^(X₀)⋅X₂+2⋅2^(X₀)⋅2^(X₀)⋅X₃+2^(X₀)⋅2^(X₀)⋅8⋅X₀+4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀+8⋅X₀⋅X₀+12⋅X₀+4⋅X₃ {O(EXP)}
Solv. Size Bound - Lifting for t₃₂₄: n_l5___3→n_l2___1 and X₃: 2⋅4^(X₀)⋅X₀+4^(X₀)⋅X₁+4^(X₀)⋅X₂+4^(X₀)⋅X₃+2⋅X₀⋅X₀+2⋅X₀+X₃ {O(EXP)}
Solv. Size Bound - Lifting for t₃₂₄: n_l5___3→n_l2___1 and X₅: 2⋅2^(X₀)⋅2^(X₀)⋅X₁+2⋅2^(X₀)⋅2^(X₀)⋅X₂+2⋅2^(X₀)⋅2^(X₀)⋅X₃+2^(X₀)⋅2^(X₀)⋅8⋅X₀+4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀+8⋅X₀⋅X₀+12⋅X₀+4⋅X₃ {O(EXP)}
Solv. Size Bound - Lifting for t₃₃₂: n_l2___1→l1 and X₂: 16⋅4^(X₀)⋅X₀+2⋅2^(X₀)⋅2^(X₀)⋅X₁+2⋅2^(X₀)⋅2^(X₀)⋅X₂+2⋅2^(X₀)⋅2^(X₀)⋅X₃+2^(X₀)⋅2^(X₀)⋅8⋅X₀+4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀+4^(X₀)⋅8⋅X₁+4^(X₀)⋅8⋅X₂+4^(X₀)⋅8⋅X₃+20⋅X₀⋅X₀+2⋅X₁+2⋅X₂+36⋅X₀+8⋅X₃ {O(EXP)}
Solv. Size Bound - Lifting for t₃₃₂: n_l2___1→l1 and X₃: 12⋅2^(X₀)⋅2^(X₀)⋅X₀+12⋅4^(X₀)⋅X₁+12⋅4^(X₀)⋅X₂+12⋅4^(X₀)⋅X₃+2^(X₀)⋅2^(X₀)⋅3⋅X₁+2^(X₀)⋅2^(X₀)⋅3⋅X₂+2^(X₀)⋅2^(X₀)⋅3⋅X₃+36⋅4^(X₀)⋅X₀+4^(X₀)⋅6⋅X₁+4^(X₀)⋅6⋅X₂+4^(X₀)⋅6⋅X₃+28⋅X₀⋅X₀+12⋅X₃+3⋅X₁+3⋅X₂+54⋅X₀ {O(EXP)}
CFR did not improve the program. Rolling back
CFR did not improve the program. Rolling back
Solv. Size Bound: t₈: l4→l6 for X₁
cycle: [t₈: l4→l6; t₁₀: l6→l4]
loop: (0 < X₃,(X₀,X₁) -> (X₀,X₀)
overappr. closed-form: 2⋅X₀ {O(n)}
runtime bound: X₃+1 {O(n)}
Solv. Size Bound - Lifting for t₈: l4→l6 and X₁: 8⋅X₀ {O(n)}
Solv. Size Bound: t₈: l4→l6 for X₂
cycle: [t₈: l4→l6; t₁₀: l6→l4]
loop: (0 < X₃,(X₀,X₁,X₂) -> (X₀,X₀,X₁)
overappr. closed-form: 2⋅X₀+X₁ {O(n)}
runtime bound: X₃+1 {O(n)}
Solv. Size Bound - Lifting for t₈: l4→l6 and X₂: 2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+4⋅4^(X₀)⋅X₀+18⋅X₀ {O(EXP)}
Solv. Size Bound: t₉: l6→l4 for X₁
Solv. Size Bound: t₉: l6→l4 for X₂
cycle: [t₉: l6→l4; t₈: l4→l6]
loop: (0 < X₃,(X₀,X₁,X₂) -> (X₀,X₁,X₀+X₁+X₂)
overappr. closed-form: X₁⋅n⋅n+X₀⋅n+X₁⋅n+X₂ {O(n^3)}
runtime bound: X₃+1 {O(n)}
Solv. Size Bound - Lifting for t₉: l6→l4 and X₂: 12⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₂+12⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₃+12⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₃+16⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₁+16⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₂+16⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₃⋅X₃+16⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₁+16⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₂+16⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₃⋅X₃+16⋅4^(X₀)⋅X₀⋅X₀+2⋅4^(X₀)⋅X₀+24⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₂⋅X₃+24⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀+24⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁+24⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂+24⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₃+32⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₀+32⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₀+32⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₁+32⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₂+32⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₁⋅X₁+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₁⋅X₂+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₁⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₂⋅X₂+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₃⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₂⋅X₂+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₂⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₃⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₃⋅X₃⋅X₃+44⋅4^(X₀)⋅X₀⋅X₁+44⋅4^(X₀)⋅X₀⋅X₂+44⋅4^(X₀)⋅X₀⋅X₃+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₁+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₂+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₃+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₂+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₃+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₃+48⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₂+48⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₃+48⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₀⋅X₁⋅X₁+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₀⋅X₂⋅X₂+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₀⋅X₃⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₁⋅X₂+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₁⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₂⋅X₂+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₃⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₂⋅X₂⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₂⋅X₃⋅X₃+4^(X₀)⋅4^(X₀)⋅6⋅X₁⋅X₁+4^(X₀)⋅4^(X₀)⋅6⋅X₂⋅X₂+4^(X₀)⋅4^(X₀)⋅6⋅X₃⋅X₃+4^(X₀)⋅4^(X₀)⋅64⋅X₀⋅X₀⋅X₀+4^(X₀)⋅4^(X₀)⋅64⋅X₀⋅X₀⋅X₁+4^(X₀)⋅4^(X₀)⋅64⋅X₀⋅X₀⋅X₂+4^(X₀)⋅4^(X₀)⋅64⋅X₀⋅X₀⋅X₃+4^(X₀)⋅4^(X₀)⋅8⋅X₀⋅X₁⋅X₁+4^(X₀)⋅4^(X₀)⋅8⋅X₀⋅X₂⋅X₂+4^(X₀)⋅4^(X₀)⋅8⋅X₀⋅X₃⋅X₃+4^(X₀)⋅5⋅X₁+4^(X₀)⋅5⋅X₂+4^(X₀)⋅5⋅X₃+4^(X₀)⋅72⋅X₀⋅X₀+4^(X₀)⋅8⋅X₀+26⋅X₀ {O(EXP)}
Solv. Size Bound: t₁₀: l6→l4 for X₂
cycle: [t₁₀: l6→l4; t₈: l4→l6]
loop: (0 < X₃,(X₀,X₁,X₂) -> (X₀,X₀,X₁)
overappr. closed-form: 2⋅X₀+X₁ {O(n)}
runtime bound: X₃+1 {O(n)}
Solv. Size Bound - Lifting for t₁₀: l6→l4 and X₂: 2⋅4^(X₀)⋅X₀+4^(X₀)⋅X₁+4^(X₀)⋅X₂+4^(X₀)⋅X₃+14⋅X₀ {O(EXP)}
Solv. Size Bound - Lifting for t₈: l4→l6 and X₂: 2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+4⋅4^(X₀)⋅X₀+18⋅X₀ {O(EXP)}
Solv. Size Bound: t₉: l6→l4 for X₁
Solv. Size Bound - Lifting for t₉: l6→l4 and X₂: 12⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₂+12⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₃+12⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₃+16⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₁+16⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₂+16⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₃⋅X₃+16⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₁+16⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₂+16⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₃⋅X₃+16⋅4^(X₀)⋅X₀⋅X₀+24⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₂⋅X₃+24⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀+24⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁+24⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂+24⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₃+32⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₀+32⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₀+32⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₁+32⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₂+32⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₁⋅X₁+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₁⋅X₂+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₁⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₂⋅X₂+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₃⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₂⋅X₂+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₂⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₃⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₃⋅X₃⋅X₃+4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+44⋅4^(X₀)⋅X₀⋅X₁+44⋅4^(X₀)⋅X₀⋅X₂+44⋅4^(X₀)⋅X₀⋅X₃+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₁+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₂+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₃+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₂+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₃+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₃+48⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₂+48⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₃+48⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₀⋅X₁⋅X₁+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₀⋅X₂⋅X₂+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₀⋅X₃⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₁⋅X₂+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₁⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₂⋅X₂+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₃⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₂⋅X₂⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₂⋅X₃⋅X₃+4^(X₀)⋅4^(X₀)⋅6⋅X₁⋅X₁+4^(X₀)⋅4^(X₀)⋅6⋅X₂⋅X₂+4^(X₀)⋅4^(X₀)⋅6⋅X₃⋅X₃+4^(X₀)⋅4^(X₀)⋅64⋅X₀⋅X₀⋅X₀+4^(X₀)⋅4^(X₀)⋅64⋅X₀⋅X₀⋅X₁+4^(X₀)⋅4^(X₀)⋅64⋅X₀⋅X₀⋅X₂+4^(X₀)⋅4^(X₀)⋅64⋅X₀⋅X₀⋅X₃+4^(X₀)⋅4^(X₀)⋅8⋅X₀⋅X₁⋅X₁+4^(X₀)⋅4^(X₀)⋅8⋅X₀⋅X₂⋅X₂+4^(X₀)⋅4^(X₀)⋅8⋅X₀⋅X₃⋅X₃+4^(X₀)⋅72⋅X₀⋅X₀+4^(X₀)⋅8⋅X₀+28⋅X₀ {O(EXP)}
Chain transitions t₁₀: l6→l4 and t₈: l4→l6 to t₈₉₄: l6→l6
Chain transitions t₉: l6→l4 and t₈: l4→l6 to t₈₉₅: l6→l6
Chain transitions t₇: l2→l4 and t₈: l4→l6 to t₈₉₆: l2→l6
Analysing control-flow refined program
Found invariant 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ for location l2
Found invariant 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀ for location l6
Found invariant 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ for location l5
Found invariant X₄ ≤ X₀ for location l1
Found invariant 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ for location l4
Found invariant 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ for location l3
Solv. Size Bound: t₈₉₄: l6→l6 for X₂
cycle: [t₈₉₄: l6→l6]
loop: (0 < X₃,(X₀,X₁,X₂) -> (X₀,X₀,X₁)
overappr. closed-form: 2⋅X₀+X₁ {O(n)}
runtime bound: X₃+1 {O(n)}
Solv. Size Bound - Lifting for t₈₉₄: l6→l6 and X₂: 2⋅4^(X₀)⋅X₀+4^(X₀)⋅X₁+4^(X₀)⋅X₂+4^(X₀)⋅X₃+14⋅X₀ {O(EXP)}
Solv. Size Bound: t₈₉₅: l6→l6 for X₁
Solv. Size Bound: t₈₉₅: l6→l6 for X₂
cycle: [t₈₉₅: l6→l6]
loop: (0 < X₃,(X₀,X₁,X₂) -> (X₀,X₁,X₀+X₁+X₂)
overappr. closed-form: X₁⋅n⋅n+X₀⋅n+X₁⋅n+X₂ {O(n^3)}
runtime bound: X₃+1 {O(n)}
Solv. Size Bound - Lifting for t₈₉₅: l6→l6 and X₂: 12⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₂+12⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₃+12⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₃+16⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₁+16⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₂+16⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₃⋅X₃+184⋅4^(X₀)⋅X₀⋅X₀+2⋅4^(X₀)⋅X₀+24⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₂⋅X₃+24⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀+24⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁+24⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂+24⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₃+32⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₀+32⋅4^(X₀)⋅X₀⋅X₁+32⋅4^(X₀)⋅X₀⋅X₂+32⋅4^(X₀)⋅X₀⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₁⋅X₁+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₁⋅X₂+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₁⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₂⋅X₂+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₃⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₂⋅X₂+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₂⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₃⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₃⋅X₃⋅X₃+40⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₁+40⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₂+40⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₃⋅X₃+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₁+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₂+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₃+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₂+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₃+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₀⋅X₁⋅X₁+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₀⋅X₂⋅X₂+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₀⋅X₃⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₁⋅X₂+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₁⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₂⋅X₂+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₃⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₂⋅X₂⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₂⋅X₃⋅X₃+4^(X₀)⋅4^(X₀)⋅6⋅X₁⋅X₁+4^(X₀)⋅4^(X₀)⋅6⋅X₂⋅X₂+4^(X₀)⋅4^(X₀)⋅6⋅X₃⋅X₃+4^(X₀)⋅4^(X₀)⋅64⋅X₀⋅X₀⋅X₀+4^(X₀)⋅4^(X₀)⋅64⋅X₀⋅X₀⋅X₁+4^(X₀)⋅4^(X₀)⋅64⋅X₀⋅X₀⋅X₂+4^(X₀)⋅4^(X₀)⋅64⋅X₀⋅X₀⋅X₃+4^(X₀)⋅4^(X₀)⋅80⋅X₀⋅X₁⋅X₂+4^(X₀)⋅4^(X₀)⋅80⋅X₀⋅X₁⋅X₃+4^(X₀)⋅4^(X₀)⋅80⋅X₀⋅X₂⋅X₃+4^(X₀)⋅4^(X₀)⋅96⋅X₀⋅X₀⋅X₀+4^(X₀)⋅4^(X₀)⋅96⋅X₀⋅X₀⋅X₁+4^(X₀)⋅4^(X₀)⋅96⋅X₀⋅X₀⋅X₂+4^(X₀)⋅4^(X₀)⋅96⋅X₀⋅X₀⋅X₃+4^(X₀)⋅5⋅X₁+4^(X₀)⋅5⋅X₂+4^(X₀)⋅5⋅X₃+4^(X₀)⋅60⋅X₀⋅X₁+4^(X₀)⋅60⋅X₀⋅X₂+4^(X₀)⋅60⋅X₀⋅X₃+4^(X₀)⋅8⋅X₀+72⋅X₀ {O(EXP)}
MPRF for transition t₈₉₄: l6(X₀, X₁, X₂, X₃, X₄, X₅) -{2}> l6(X₀, X₀, X₁, X₃-1, X₄, X₅) :|: 0 < X₃ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀ of depth 1:
new bound:
2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+4⋅4^(X₀)⋅X₀+1 {O(EXP)}
MPRF for transition t₈₉₅: l6(X₀, X₁, X₂, X₃, X₄, X₅) -{2}> l6(X₀, X₁, X₀+X₁+X₂, X₃-1, X₄, X₅) :|: 0 < X₃ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀ of depth 1:
new bound:
2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+4⋅4^(X₀)⋅X₀+1 {O(EXP)}
Solv. Size Bound - Lifting for t₈₉₄: l6→l6 and X₂: 2⋅4^(X₀)⋅X₀+4^(X₀)⋅X₁+4^(X₀)⋅X₂+4^(X₀)⋅X₃+14⋅X₀ {O(EXP)}
Solv. Size Bound: t₈₉₅: l6→l6 for X₁
Solv. Size Bound - Lifting for t₈₉₅: l6→l6 and X₂: 12⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₂+12⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₃+12⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₃+16⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₁+16⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₂+16⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₃⋅X₃+184⋅4^(X₀)⋅X₀⋅X₀+2⋅4^(X₀)⋅X₀+24⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₂⋅X₃+24⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀+24⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁+24⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂+24⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₃+32⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₀+32⋅4^(X₀)⋅X₀⋅X₁+32⋅4^(X₀)⋅X₀⋅X₂+32⋅4^(X₀)⋅X₀⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₁⋅X₁+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₁⋅X₂+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₁⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₂⋅X₂+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₃⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₂⋅X₂+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₂⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₃⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₃⋅X₃⋅X₃+40⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₁+40⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₂+40⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₃⋅X₃+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₁+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₂+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₃+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₂+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₃+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₀⋅X₁⋅X₁+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₀⋅X₂⋅X₂+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₀⋅X₃⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₁⋅X₂+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₁⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₂⋅X₂+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₃⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₂⋅X₂⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₂⋅X₃⋅X₃+4^(X₀)⋅4^(X₀)⋅6⋅X₁⋅X₁+4^(X₀)⋅4^(X₀)⋅6⋅X₂⋅X₂+4^(X₀)⋅4^(X₀)⋅6⋅X₃⋅X₃+4^(X₀)⋅4^(X₀)⋅64⋅X₀⋅X₀⋅X₀+4^(X₀)⋅4^(X₀)⋅64⋅X₀⋅X₀⋅X₁+4^(X₀)⋅4^(X₀)⋅64⋅X₀⋅X₀⋅X₂+4^(X₀)⋅4^(X₀)⋅64⋅X₀⋅X₀⋅X₃+4^(X₀)⋅4^(X₀)⋅80⋅X₀⋅X₁⋅X₂+4^(X₀)⋅4^(X₀)⋅80⋅X₀⋅X₁⋅X₃+4^(X₀)⋅4^(X₀)⋅80⋅X₀⋅X₂⋅X₃+4^(X₀)⋅4^(X₀)⋅96⋅X₀⋅X₀⋅X₀+4^(X₀)⋅4^(X₀)⋅96⋅X₀⋅X₀⋅X₁+4^(X₀)⋅4^(X₀)⋅96⋅X₀⋅X₀⋅X₂+4^(X₀)⋅4^(X₀)⋅96⋅X₀⋅X₀⋅X₃+4^(X₀)⋅5⋅X₁+4^(X₀)⋅5⋅X₂+4^(X₀)⋅5⋅X₃+4^(X₀)⋅60⋅X₀⋅X₁+4^(X₀)⋅60⋅X₀⋅X₂+4^(X₀)⋅60⋅X₀⋅X₃+4^(X₀)⋅8⋅X₀+72⋅X₀ {O(EXP)}
Analysing control-flow refined program
Found invariant 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ for location l2
Found invariant 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 1 ≤ X₀ for location n_l6___1
Found invariant 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀ for location n_l6___4
Found invariant 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀ for location n_l4___3
Found invariant 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 1 ≤ X₀ for location n_l4___2
Found invariant 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ for location l5
Found invariant X₄ ≤ X₀ for location l1
Found invariant 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ for location l4
Found invariant 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ for location l3
Solv. Size Bound: t₉₇₆: n_l4___3→n_l6___4 for X₁
Solv. Size Bound: t₉₇₆: n_l4___3→n_l6___4 for X₂
cycle: [t₉₇₆: n_l4___3→n_l6___4; t₉₈₁: n_l6___4→n_l4___3]
loop: (0 ≤ X₃ ∧ 0 < X₃ ∧ 0 < X₃,(X₀,X₁,X₂) -> (X₀,X₁,X₀+X₁+X₂)
overappr. closed-form: X₁⋅n⋅n+X₀⋅n+X₁⋅n+X₂ {O(n^3)}
runtime bound: X₃+2 {O(n)}
Solv. Size Bound - Lifting for t₉₇₆: n_l4___3→n_l6___4 and X₂: 10⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₁+10⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₂+10⋅4^(X₀)⋅4^(X₀)⋅X₃⋅X₃+16⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₁+16⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₂+16⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₃⋅X₃+16⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₁+16⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₂+16⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₃⋅X₃+16⋅4^(X₀)⋅X₀+2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+20⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₂+20⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₃+20⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₃+24⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₂⋅X₃+32⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₀+32⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₂+32⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₃+32⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₁⋅X₁+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₁⋅X₂+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₁⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₂⋅X₂+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₃⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₂⋅X₂+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₂⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₃⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₃⋅X₃⋅X₃+40⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀+40⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁+40⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂+40⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₃+44⋅4^(X₀)⋅X₀⋅X₁+44⋅4^(X₀)⋅X₀⋅X₂+44⋅4^(X₀)⋅X₀⋅X₃+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₁+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₂+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₃+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₂+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₃+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₀⋅X₁⋅X₁+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₀⋅X₂⋅X₂+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₀⋅X₃⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₁⋅X₂+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₁⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₂⋅X₂+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₃⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₂⋅X₂⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₂⋅X₃⋅X₃+4^(X₀)⋅4^(X₀)⋅64⋅X₀⋅X₀⋅X₀+4^(X₀)⋅4^(X₀)⋅64⋅X₀⋅X₀⋅X₁+4^(X₀)⋅4^(X₀)⋅64⋅X₀⋅X₀⋅X₂+4^(X₀)⋅4^(X₀)⋅64⋅X₀⋅X₀⋅X₃+4^(X₀)⋅6⋅X₁+4^(X₀)⋅6⋅X₂+4^(X₀)⋅6⋅X₃+4^(X₀)⋅8⋅X₀⋅X₀+4^(X₀)⋅80⋅X₀⋅X₀+28⋅X₀ {O(EXP)}
Solv. Size Bound: t₉₈₁: n_l6___4→n_l4___3 for X₁
Solv. Size Bound: t₉₈₁: n_l6___4→n_l4___3 for X₂
cycle: [t₉₈₁: n_l6___4→n_l4___3; t₉₇₆: n_l4___3→n_l6___4]
loop: (0 < 1+X₃ ∧ 0 ≤ X₃ ∧ 0 < X₃,(X₀,X₁,X₂) -> (X₀,X₁,X₀+X₁+X₂)
overappr. closed-form: X₁⋅n⋅n+X₀⋅n+X₁⋅n+X₂ {O(n^3)}
runtime bound: X₃+2 {O(n)}
Solv. Size Bound - Lifting for t₉₈₁: n_l6___4→n_l4___3 and X₂: 10⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₁+10⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₂+10⋅4^(X₀)⋅4^(X₀)⋅X₃⋅X₃+16⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₁+16⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₂+16⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₃⋅X₃+16⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₁+16⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₂+16⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₃⋅X₃+16⋅4^(X₀)⋅X₀+2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+20⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₂+20⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₃+20⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₃+24⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₂⋅X₃+32⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₀+32⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₂+32⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₃+32⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₁⋅X₁+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₁⋅X₂+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₁⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₂⋅X₂+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₃⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₂⋅X₂+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₂⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₃⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₃⋅X₃⋅X₃+40⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀+40⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁+40⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂+40⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₃+44⋅4^(X₀)⋅X₀⋅X₁+44⋅4^(X₀)⋅X₀⋅X₂+44⋅4^(X₀)⋅X₀⋅X₃+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₁+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₂+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₃+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₂+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₃+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₀⋅X₁⋅X₁+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₀⋅X₂⋅X₂+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₀⋅X₃⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₁⋅X₂+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₁⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₂⋅X₂+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₃⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₂⋅X₂⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₂⋅X₃⋅X₃+4^(X₀)⋅4^(X₀)⋅64⋅X₀⋅X₀⋅X₀+4^(X₀)⋅4^(X₀)⋅64⋅X₀⋅X₀⋅X₁+4^(X₀)⋅4^(X₀)⋅64⋅X₀⋅X₀⋅X₂+4^(X₀)⋅4^(X₀)⋅64⋅X₀⋅X₀⋅X₃+4^(X₀)⋅6⋅X₁+4^(X₀)⋅6⋅X₂+4^(X₀)⋅6⋅X₃+4^(X₀)⋅8⋅X₀⋅X₀+4^(X₀)⋅80⋅X₀⋅X₀+28⋅X₀ {O(EXP)}
MPRF for transition t₉₇₆: n_l4___3(X₀, X₁, X₂, X₃, X₄, X₅) → n_l6___4(X₀, X₁, X₂, X₃-1, X₄, X₅) :|: 0 ≤ X₃ ∧ 0 < X₃ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀ of depth 1:
new bound:
2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+4⋅4^(X₀)⋅X₀+1 {O(EXP)}
MPRF for transition t₉₈₁: n_l6___4(X₀, X₁, X₂, X₃, X₄, X₅) → n_l4___3(X₀, X₁, X₀+X₁+X₂, X₃, X₄, X₅) :|: 0 < 1+X₃ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀ of depth 1:
new bound:
2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+4⋅4^(X₀)⋅X₀+1 {O(EXP)}
Solv. Size Bound: t₉₇₆: n_l4___3→n_l6___4 for X₁
Solv. Size Bound - Lifting for t₉₇₆: n_l4___3→n_l6___4 and X₂: 10⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₁+10⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₂+10⋅4^(X₀)⋅4^(X₀)⋅X₃⋅X₃+16⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₁+16⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₂+16⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₃⋅X₃+16⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₁+16⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₂+16⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₃⋅X₃+16⋅4^(X₀)⋅X₀+2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+20⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₂+20⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₃+20⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₃+24⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₂⋅X₃+32⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₀+32⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₂+32⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₃+32⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₁⋅X₁+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₁⋅X₂+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₁⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₂⋅X₂+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₃⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₂⋅X₂+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₂⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₃⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₃⋅X₃⋅X₃+40⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀+40⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁+40⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂+40⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₃+44⋅4^(X₀)⋅X₀⋅X₁+44⋅4^(X₀)⋅X₀⋅X₂+44⋅4^(X₀)⋅X₀⋅X₃+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₁+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₂+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₃+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₂+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₃+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₀⋅X₁⋅X₁+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₀⋅X₂⋅X₂+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₀⋅X₃⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₁⋅X₂+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₁⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₂⋅X₂+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₃⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₂⋅X₂⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₂⋅X₃⋅X₃+4^(X₀)⋅4^(X₀)⋅64⋅X₀⋅X₀⋅X₀+4^(X₀)⋅4^(X₀)⋅64⋅X₀⋅X₀⋅X₁+4^(X₀)⋅4^(X₀)⋅64⋅X₀⋅X₀⋅X₂+4^(X₀)⋅4^(X₀)⋅64⋅X₀⋅X₀⋅X₃+4^(X₀)⋅6⋅X₁+4^(X₀)⋅6⋅X₂+4^(X₀)⋅6⋅X₃+4^(X₀)⋅8⋅X₀⋅X₀+4^(X₀)⋅80⋅X₀⋅X₀+28⋅X₀ {O(EXP)}
Solv. Size Bound: t₉₈₁: n_l6___4→n_l4___3 for X₁
Solv. Size Bound - Lifting for t₉₈₁: n_l6___4→n_l4___3 and X₂: 10⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₁+10⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₂+10⋅4^(X₀)⋅4^(X₀)⋅X₃⋅X₃+16⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₁+16⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₂+16⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₃⋅X₃+16⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₁+16⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₂+16⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₃⋅X₃+16⋅4^(X₀)⋅X₀+2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+20⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₂+20⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₃+20⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₃+24⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₂⋅X₃+32⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₀+32⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₂+32⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₃+32⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₁⋅X₁+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₁⋅X₂+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₁⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₂⋅X₂+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₃⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₂⋅X₂+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₂⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₃⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₃⋅X₃⋅X₃+40⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀+40⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁+40⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂+40⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₃+44⋅4^(X₀)⋅X₀⋅X₁+44⋅4^(X₀)⋅X₀⋅X₂+44⋅4^(X₀)⋅X₀⋅X₃+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₁+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₂+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀⋅X₃+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₂+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₃+48⋅4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₀⋅X₁⋅X₁+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₀⋅X₂⋅X₂+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₀⋅X₃⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₁⋅X₂+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₁⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₂⋅X₂+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₃⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₂⋅X₂⋅X₃+4^(X₀)⋅4^(X₀)⋅4^(X₀)⋅8⋅X₂⋅X₃⋅X₃+4^(X₀)⋅4^(X₀)⋅64⋅X₀⋅X₀⋅X₀+4^(X₀)⋅4^(X₀)⋅64⋅X₀⋅X₀⋅X₁+4^(X₀)⋅4^(X₀)⋅64⋅X₀⋅X₀⋅X₂+4^(X₀)⋅4^(X₀)⋅64⋅X₀⋅X₀⋅X₃+4^(X₀)⋅6⋅X₁+4^(X₀)⋅6⋅X₂+4^(X₀)⋅6⋅X₃+4^(X₀)⋅8⋅X₀⋅X₀+4^(X₀)⋅80⋅X₀⋅X₀+28⋅X₀ {O(EXP)}
Solv. Size Bound: t₉₇₅: n_l4___2→n_l6___1 for X₂
cycle: [t₉₇₅: n_l4___2→n_l6___1; t₉₇₉: n_l6___1→n_l4___2]
loop: (0 ≤ X₃ ∧ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 < X₃ ∧ 0 < X₃ ∧ X₀ ≤ X₁ ∧ X₁ ≤ X₀,(X₀,X₁,X₂) -> (X₀,X₀,X₁)
overappr. closed-form: 2⋅X₀+X₁ {O(n)}
runtime bound: X₃+2 {O(n)}
Solv. Size Bound - Lifting for t₉₇₅: n_l4___2→n_l6___1 and X₂: 28⋅X₀ {O(n)}
Solv. Size Bound: t₉₇₈: n_l6___1→n_l4___2 for X₂
cycle: [t₉₇₈: n_l6___1→n_l4___2; t₉₇₅: n_l4___2→n_l6___1]
loop: (0 < 1+X₃ ∧ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₃ ∧ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 < X₃,(X₀,X₁,X₂) -> (X₀,X₁,X₀+X₁+X₂)
overappr. closed-form: X₁⋅n⋅n+X₀⋅n+X₁⋅n+X₂ {O(n^3)}
runtime bound: X₃+2 {O(n)}
Solv. Size Bound - Lifting for t₉₇₈: n_l6___1→n_l4___2 and X₂: 128⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₁+128⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₂+128⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₃⋅X₃+192⋅4^(X₀)⋅X₀⋅X₁+192⋅4^(X₀)⋅X₀⋅X₂+192⋅4^(X₀)⋅X₀⋅X₃+2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+256⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₂+256⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₃+256⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₃+384⋅4^(X₀)⋅X₀⋅X₀+4⋅4^(X₀)⋅X₀+4^(X₀)⋅4^(X₀)⋅512⋅X₀⋅X₀⋅X₀+4^(X₀)⋅4^(X₀)⋅512⋅X₀⋅X₀⋅X₁+4^(X₀)⋅4^(X₀)⋅512⋅X₀⋅X₀⋅X₂+4^(X₀)⋅4^(X₀)⋅512⋅X₀⋅X₀⋅X₃+88⋅X₀ {O(EXP)}
MPRF for transition t₉₇₅: n_l4___2(X₀, X₁, X₂, X₃, X₄, X₅) → n_l6___1(X₀, X₁, X₂, X₃-1, X₄, X₅) :|: 0 ≤ X₃ ∧ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 < X₃ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 1 ≤ X₀ of depth 1:
new bound:
4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀+1 {O(EXP)}
MPRF for transition t₉₇₈: n_l6___1(X₀, X₁, X₂, X₃, X₄, X₅) → n_l4___2(X₀, X₁, X₀+X₁+X₂, X₃, X₄, X₅) :|: 0 < 1+X₃ ∧ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 1 ≤ X₀ of depth 1:
new bound:
4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀ {O(EXP)}
MPRF for transition t₉₇₉: n_l6___1(X₀, X₁, X₂, X₃, X₄, X₅) → n_l4___2(X₀, X₀, X₁, X₃, X₄, X₅) :|: 0 < 1+X₃ ∧ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 1 ≤ X₀ of depth 1:
new bound:
4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀ {O(EXP)}
Solv. Size Bound - Lifting for t₉₇₈: n_l6___1→n_l4___2 and X₂: 128⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₁+128⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₂+128⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₃⋅X₃+192⋅4^(X₀)⋅X₀⋅X₁+192⋅4^(X₀)⋅X₀⋅X₂+192⋅4^(X₀)⋅X₀⋅X₃+2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+256⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₂+256⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₃+256⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₃+384⋅4^(X₀)⋅X₀⋅X₀+4⋅4^(X₀)⋅X₀+4^(X₀)⋅4^(X₀)⋅512⋅X₀⋅X₀⋅X₀+4^(X₀)⋅4^(X₀)⋅512⋅X₀⋅X₀⋅X₁+4^(X₀)⋅4^(X₀)⋅512⋅X₀⋅X₀⋅X₂+4^(X₀)⋅4^(X₀)⋅512⋅X₀⋅X₀⋅X₃+88⋅X₀ {O(EXP)}
CFR: Improvement to new bound with the following program:
new bound:
Infinite
cfr-program:
Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5, n_l4___2, n_l4___3, n_l6___1, n_l6___4
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅) → l1(X₀, X₁, X₂, X₃, X₀, 0)
t₁: l1(X₀, X₁, X₂, X₃, X₄, X₅) → l2(X₀, X₁, X₂, X₃, X₄-1, X₁+X₂) :|: 0 < X₄ ∧ X₄ ≤ X₀ ∧ X₄ ≤ X₀
t₆: l2(X₀, X₁, X₂, X₃, X₄, X₅) → l1(X₀, X₁, X₂, X₁+X₂, X₄, X₅) :|: 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀
t₂: l2(X₀, X₁, X₂, X₃, X₄, X₅) → l3(X₀, X₁, X₂, X₃, X₄, X₅-1) :|: 0 < X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀
t₇: l2(X₀, X₁, X₂, X₃, X₄, X₅) → l4(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀
t₃: l3(X₀, X₁, X₂, X₃, X₄, X₅) → l5(X₀, X₃, X₀, X₃, X₄, X₅) :|: 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀
t₄: l3(X₀, X₁, X₂, X₃, X₄, X₅) → l5(X₀, X₀, X₃, X₃, X₄, X₅) :|: 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀
t₉₇₇: l4(X₀, X₁, X₂, X₃, X₄, X₅) → n_l6___4(X₀, X₁, X₂, X₃-1, X₄, X₅) :|: 0 < X₃ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀
t₅: l5(X₀, X₁, X₂, X₃, X₄, X₅) → l2(X₀, X₁, X₂, X₃, X₄, X₅) :|: 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀
t₉₇₅: n_l4___2(X₀, X₁, X₂, X₃, X₄, X₅) → n_l6___1(X₀, X₁, X₂, X₃-1, X₄, X₅) :|: 0 ≤ X₃ ∧ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 < X₃ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 1 ≤ X₀
t₉₇₆: n_l4___3(X₀, X₁, X₂, X₃, X₄, X₅) → n_l6___4(X₀, X₁, X₂, X₃-1, X₄, X₅) :|: 0 ≤ X₃ ∧ 0 < X₃ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀
t₉₇₈: n_l6___1(X₀, X₁, X₂, X₃, X₄, X₅) → n_l4___2(X₀, X₁, X₀+X₁+X₂, X₃, X₄, X₅) :|: 0 < 1+X₃ ∧ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 1 ≤ X₀
t₉₇₉: n_l6___1(X₀, X₁, X₂, X₃, X₄, X₅) → n_l4___2(X₀, X₀, X₁, X₃, X₄, X₅) :|: 0 < 1+X₃ ∧ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 1 ≤ X₀
t₉₈₀: n_l6___4(X₀, X₁, X₂, X₃, X₄, X₅) → n_l4___2(X₀, X₀, X₁, X₃, X₄, X₅) :|: 0 < 1+X₃ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀
t₉₈₁: n_l6___4(X₀, X₁, X₂, X₃, X₄, X₅) → n_l4___3(X₀, X₁, X₀+X₁+X₂, X₃, X₄, X₅) :|: 0 < 1+X₃ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀
CFR: Improvement to new bound with the following program:
new bound:
16⋅4^(X₀)⋅X₁+16⋅4^(X₀)⋅X₂+16⋅4^(X₀)⋅X₃+32⋅4^(X₀)⋅X₀+3 {O(EXP)}
cfr-program:
Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5, n_l4___2, n_l4___3, n_l6___1, n_l6___4
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅) → l1(X₀, X₁, X₂, X₃, X₀, 0)
t₁: l1(X₀, X₁, X₂, X₃, X₄, X₅) → l2(X₀, X₁, X₂, X₃, X₄-1, X₁+X₂) :|: 0 < X₄ ∧ X₄ ≤ X₀ ∧ X₄ ≤ X₀
t₆: l2(X₀, X₁, X₂, X₃, X₄, X₅) → l1(X₀, X₁, X₂, X₁+X₂, X₄, X₅) :|: 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀
t₂: l2(X₀, X₁, X₂, X₃, X₄, X₅) → l3(X₀, X₁, X₂, X₃, X₄, X₅-1) :|: 0 < X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀
t₇: l2(X₀, X₁, X₂, X₃, X₄, X₅) → l4(X₀, X₁, X₂, X₃, X₄, X₅) :|: 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀
t₃: l3(X₀, X₁, X₂, X₃, X₄, X₅) → l5(X₀, X₃, X₀, X₃, X₄, X₅) :|: 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀
t₄: l3(X₀, X₁, X₂, X₃, X₄, X₅) → l5(X₀, X₀, X₃, X₃, X₄, X₅) :|: 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀
t₉₇₇: l4(X₀, X₁, X₂, X₃, X₄, X₅) → n_l6___4(X₀, X₁, X₂, X₃-1, X₄, X₅) :|: 0 < X₃ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀
t₅: l5(X₀, X₁, X₂, X₃, X₄, X₅) → l2(X₀, X₁, X₂, X₃, X₄, X₅) :|: 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀ ∧ 0 ≤ X₅ ∧ 0 ≤ X₄+X₅ ∧ 1 ≤ X₀+X₅ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₀
t₉₇₅: n_l4___2(X₀, X₁, X₂, X₃, X₄, X₅) → n_l6___1(X₀, X₁, X₂, X₃-1, X₄, X₅) :|: 0 ≤ X₃ ∧ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 < X₃ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 1 ≤ X₀
t₉₇₆: n_l4___3(X₀, X₁, X₂, X₃, X₄, X₅) → n_l6___4(X₀, X₁, X₂, X₃-1, X₄, X₅) :|: 0 ≤ X₃ ∧ 0 < X₃ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀
t₉₇₈: n_l6___1(X₀, X₁, X₂, X₃, X₄, X₅) → n_l4___2(X₀, X₁, X₀+X₁+X₂, X₃, X₄, X₅) :|: 0 < 1+X₃ ∧ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 1 ≤ X₀
t₉₇₉: n_l6___1(X₀, X₁, X₂, X₃, X₄, X₅) → n_l4___2(X₀, X₀, X₁, X₃, X₄, X₅) :|: 0 < 1+X₃ ∧ X₀ ≤ X₁ ∧ X₁ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ X₀ ≤ X₁ ∧ 1 ≤ X₀
t₉₈₀: n_l6___4(X₀, X₁, X₂, X₃, X₄, X₅) → n_l4___2(X₀, X₀, X₁, X₃, X₄, X₅) :|: 0 < 1+X₃ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀
t₉₈₁: n_l6___4(X₀, X₁, X₂, X₃, X₄, X₅) → n_l4___3(X₀, X₁, X₀+X₁+X₂, X₃, X₄, X₅) :|: 0 < 1+X₃ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₃ ∧ 0 ≤ X₄ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₀
All Bounds
Timebounds
Overall timebound:16⋅4^(X₀)⋅X₀⋅X₀+2⋅4^(X₀)⋅X₀⋅X₁+2⋅4^(X₀)⋅X₀⋅X₂+2⋅4^(X₀)⋅X₀⋅X₃+2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+24⋅4^(X₀)⋅X₀+4^(X₀)⋅6⋅X₀⋅X₁+4^(X₀)⋅6⋅X₀⋅X₂+4^(X₀)⋅6⋅X₀⋅X₃+4^(X₀)⋅6⋅X₁+4^(X₀)⋅6⋅X₂+4^(X₀)⋅6⋅X₃+4^(X₀)⋅8⋅X₀+4^(X₀)⋅8⋅X₁+4^(X₀)⋅8⋅X₂+4^(X₀)⋅8⋅X₃+2⋅X₀+4⋅X₁+4⋅X₂+7 {O(EXP)}
t₀: 1 {O(1)}
t₁: X₀ {O(n)}
t₂: 2⋅4^(X₀)⋅X₀⋅X₁+2⋅4^(X₀)⋅X₀⋅X₂+2⋅4^(X₀)⋅X₀⋅X₃+4⋅4^(X₀)⋅X₀⋅X₀+X₁+X₂ {O(EXP)}
t₃: 2⋅4^(X₀)⋅X₀⋅X₁+2⋅4^(X₀)⋅X₀⋅X₂+2⋅4^(X₀)⋅X₀⋅X₃+4⋅4^(X₀)⋅X₀⋅X₀+X₁+X₂ {O(EXP)}
t₄: 2⋅4^(X₀)⋅X₀⋅X₁+2⋅4^(X₀)⋅X₀⋅X₂+2⋅4^(X₀)⋅X₀⋅X₃+4⋅4^(X₀)⋅X₀⋅X₀+X₁+X₂ {O(EXP)}
t₅: 2⋅4^(X₀)⋅X₀⋅X₁+2⋅4^(X₀)⋅X₀⋅X₂+2⋅4^(X₀)⋅X₀⋅X₃+4⋅4^(X₀)⋅X₀⋅X₀+X₁+X₂ {O(EXP)}
t₆: X₀ {O(n)}
t₇: 1 {O(1)}
t₉₇₅: 4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀+1 {O(EXP)}
t₉₇₆: 2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+4⋅4^(X₀)⋅X₀+1 {O(EXP)}
t₉₇₇: 1 {O(1)}
t₉₇₈: 4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀ {O(EXP)}
t₉₇₉: 4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀ {O(EXP)}
t₉₈₀: 1 {O(1)}
t₉₈₁: 2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+4⋅4^(X₀)⋅X₀+1 {O(EXP)}
Costbounds
Overall costbound: 16⋅4^(X₀)⋅X₀⋅X₀+2⋅4^(X₀)⋅X₀⋅X₁+2⋅4^(X₀)⋅X₀⋅X₂+2⋅4^(X₀)⋅X₀⋅X₃+2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+24⋅4^(X₀)⋅X₀+4^(X₀)⋅6⋅X₀⋅X₁+4^(X₀)⋅6⋅X₀⋅X₂+4^(X₀)⋅6⋅X₀⋅X₃+4^(X₀)⋅6⋅X₁+4^(X₀)⋅6⋅X₂+4^(X₀)⋅6⋅X₃+4^(X₀)⋅8⋅X₀+4^(X₀)⋅8⋅X₁+4^(X₀)⋅8⋅X₂+4^(X₀)⋅8⋅X₃+2⋅X₀+4⋅X₁+4⋅X₂+7 {O(EXP)}
t₀: 1 {O(1)}
t₁: X₀ {O(n)}
t₂: 2⋅4^(X₀)⋅X₀⋅X₁+2⋅4^(X₀)⋅X₀⋅X₂+2⋅4^(X₀)⋅X₀⋅X₃+4⋅4^(X₀)⋅X₀⋅X₀+X₁+X₂ {O(EXP)}
t₃: 2⋅4^(X₀)⋅X₀⋅X₁+2⋅4^(X₀)⋅X₀⋅X₂+2⋅4^(X₀)⋅X₀⋅X₃+4⋅4^(X₀)⋅X₀⋅X₀+X₁+X₂ {O(EXP)}
t₄: 2⋅4^(X₀)⋅X₀⋅X₁+2⋅4^(X₀)⋅X₀⋅X₂+2⋅4^(X₀)⋅X₀⋅X₃+4⋅4^(X₀)⋅X₀⋅X₀+X₁+X₂ {O(EXP)}
t₅: 2⋅4^(X₀)⋅X₀⋅X₁+2⋅4^(X₀)⋅X₀⋅X₂+2⋅4^(X₀)⋅X₀⋅X₃+4⋅4^(X₀)⋅X₀⋅X₀+X₁+X₂ {O(EXP)}
t₆: X₀ {O(n)}
t₇: 1 {O(1)}
t₉₇₅: 4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀+1 {O(EXP)}
t₉₇₆: 2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+4⋅4^(X₀)⋅X₀+1 {O(EXP)}
t₉₇₇: 1 {O(1)}
t₉₇₈: 4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀ {O(EXP)}
t₉₇₉: 4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀ {O(EXP)}
t₉₈₀: 1 {O(1)}
t₉₈₁: 2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+4⋅4^(X₀)⋅X₀+1 {O(EXP)}
Sizebounds
t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}
t₀, X₃: X₃ {O(n)}
t₀, X₄: X₀ {O(n)}
t₀, X₅: 0 {O(1)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: 2⋅4^(X₀)⋅X₀+4^(X₀)⋅X₁+4^(X₀)⋅X₂+4^(X₀)⋅X₃ {O(EXP)}
t₁, X₂: 2⋅4^(X₀)⋅X₀+4^(X₀)⋅X₁+4^(X₀)⋅X₂+4^(X₀)⋅X₃ {O(EXP)}
t₁, X₃: 2⋅4^(X₀)⋅X₀+4^(X₀)⋅X₁+4^(X₀)⋅X₂+4^(X₀)⋅X₃ {O(EXP)}
t₁, X₄: X₀ {O(n)}
t₁, X₅: 2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+4⋅4^(X₀)⋅X₀+X₁+X₂ {O(EXP)}
t₂, X₀: X₀ {O(n)}
t₂, X₁: 4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀ {O(EXP)}
t₂, X₂: 4⋅X₀ {O(n)}
t₂, X₃: 2⋅4^(X₀)⋅X₀+4^(X₀)⋅X₁+4^(X₀)⋅X₂+4^(X₀)⋅X₃ {O(EXP)}
t₂, X₄: X₀ {O(n)}
t₂, X₅: 2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+4⋅4^(X₀)⋅X₀+X₁+X₂ {O(EXP)}
t₃, X₀: X₀ {O(n)}
t₃, X₁: 2⋅4^(X₀)⋅X₀+4^(X₀)⋅X₁+4^(X₀)⋅X₂+4^(X₀)⋅X₃ {O(EXP)}
t₃, X₂: X₀ {O(n)}
t₃, X₃: 2⋅4^(X₀)⋅X₀+4^(X₀)⋅X₁+4^(X₀)⋅X₂+4^(X₀)⋅X₃ {O(EXP)}
t₃, X₄: X₀ {O(n)}
t₃, X₅: 2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+4⋅4^(X₀)⋅X₀+X₁+X₂ {O(EXP)}
t₄, X₀: X₀ {O(n)}
t₄, X₁: X₀ {O(n)}
t₄, X₂: 2⋅4^(X₀)⋅X₀+4^(X₀)⋅X₁+4^(X₀)⋅X₂+4^(X₀)⋅X₃ {O(EXP)}
t₄, X₃: 2⋅4^(X₀)⋅X₀+4^(X₀)⋅X₁+4^(X₀)⋅X₂+4^(X₀)⋅X₃ {O(EXP)}
t₄, X₄: X₀ {O(n)}
t₄, X₅: 2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+4⋅4^(X₀)⋅X₀+X₁+X₂ {O(EXP)}
t₅, X₀: X₀ {O(n)}
t₅, X₁: 4⋅X₀ {O(n)}
t₅, X₂: 2⋅4^(X₀)⋅X₀+4^(X₀)⋅X₁+4^(X₀)⋅X₂+4^(X₀)⋅X₃ {O(EXP)}
t₅, X₃: 2⋅4^(X₀)⋅X₀+4^(X₀)⋅X₁+4^(X₀)⋅X₂+4^(X₀)⋅X₃ {O(EXP)}
t₅, X₄: X₀ {O(n)}
t₅, X₅: 2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+4⋅4^(X₀)⋅X₀+X₁+X₂ {O(EXP)}
t₆, X₀: X₀ {O(n)}
t₆, X₁: 2⋅4^(X₀)⋅X₀+4^(X₀)⋅X₁+4^(X₀)⋅X₂+4^(X₀)⋅X₃ {O(EXP)}
t₆, X₂: 2⋅4^(X₀)⋅X₀+4^(X₀)⋅X₁+4^(X₀)⋅X₂+4^(X₀)⋅X₃ {O(EXP)}
t₆, X₃: 2⋅4^(X₀)⋅X₀+4^(X₀)⋅X₁+4^(X₀)⋅X₂+4^(X₀)⋅X₃ {O(EXP)}
t₆, X₄: X₀ {O(n)}
t₆, X₅: 4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀+2⋅X₁+2⋅X₂ {O(EXP)}
t₇, X₀: 2⋅X₀ {O(n)}
t₇, X₁: 2⋅4^(X₀)⋅X₀+4^(X₀)⋅X₁+4^(X₀)⋅X₂+4^(X₀)⋅X₃+4⋅X₀ {O(EXP)}
t₇, X₂: 2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+4⋅4^(X₀)⋅X₀ {O(EXP)}
t₇, X₃: 2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+4⋅4^(X₀)⋅X₀ {O(EXP)}
t₇, X₄: 2⋅X₀ {O(n)}
t₇, X₅: 4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀+2⋅X₁+2⋅X₂ {O(EXP)}
t₉₇₅, X₀: 4⋅X₀ {O(n)}
t₉₇₅, X₁: 8⋅X₀ {O(n)}
t₉₇₅, X₂: 28⋅X₀ {O(n)}
t₉₇₅, X₃: 4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀ {O(EXP)}
t₉₇₅, X₄: 4⋅X₀ {O(n)}
t₉₇₅, X₅: 16⋅4^(X₀)⋅X₀+4^(X₀)⋅8⋅X₁+4^(X₀)⋅8⋅X₂+4^(X₀)⋅8⋅X₃+4⋅X₁+4⋅X₂ {O(EXP)}
t₉₇₆, X₀: 2⋅X₀ {O(n)}
t₉₇₆, X₁: 2⋅4^(X₀)⋅X₀+4^(X₀)⋅X₁+4^(X₀)⋅X₂+4^(X₀)⋅X₃+4⋅X₀ {O(EXP)}
t₉₇₆, X₂: 16⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀+16⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁+16⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂+16⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₃+24⋅4^(X₀)⋅X₀⋅X₁+24⋅4^(X₀)⋅X₀⋅X₂+24⋅4^(X₀)⋅X₀⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₁+4⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₂+4⋅4^(X₀)⋅4^(X₀)⋅X₃⋅X₃+4⋅4^(X₀)⋅X₀+48⋅4^(X₀)⋅X₀⋅X₀+4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₂+4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₃+4^(X₀)⋅4^(X₀)⋅8⋅X₂⋅X₃+4^(X₀)⋅6⋅X₁+4^(X₀)⋅6⋅X₂+4^(X₀)⋅6⋅X₃+4^(X₀)⋅8⋅X₀+24⋅X₀ {O(EXP)}
t₉₇₆, X₃: 2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+4⋅4^(X₀)⋅X₀ {O(EXP)}
t₉₇₆, X₄: 2⋅X₀ {O(n)}
t₉₇₆, X₅: 4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀+2⋅X₁+2⋅X₂ {O(EXP)}
t₉₇₇, X₀: 2⋅X₀ {O(n)}
t₉₇₇, X₁: 2⋅4^(X₀)⋅X₀+4^(X₀)⋅X₁+4^(X₀)⋅X₂+4^(X₀)⋅X₃+4⋅X₀ {O(EXP)}
t₉₇₇, X₂: 2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+4⋅4^(X₀)⋅X₀ {O(EXP)}
t₉₇₇, X₃: 2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+4⋅4^(X₀)⋅X₀ {O(EXP)}
t₉₇₇, X₄: 2⋅X₀ {O(n)}
t₉₇₇, X₅: 4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀+2⋅X₁+2⋅X₂ {O(EXP)}
t₉₇₈, X₀: 4⋅X₀ {O(n)}
t₉₇₈, X₁: 8⋅X₀ {O(n)}
t₉₇₈, X₂: 128⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₁+128⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₂+128⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₃⋅X₃+192⋅4^(X₀)⋅X₀⋅X₁+192⋅4^(X₀)⋅X₀⋅X₂+192⋅4^(X₀)⋅X₀⋅X₃+2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+256⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₂+256⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁⋅X₃+256⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂⋅X₃+384⋅4^(X₀)⋅X₀⋅X₀+4⋅4^(X₀)⋅X₀+4^(X₀)⋅4^(X₀)⋅512⋅X₀⋅X₀⋅X₀+4^(X₀)⋅4^(X₀)⋅512⋅X₀⋅X₀⋅X₁+4^(X₀)⋅4^(X₀)⋅512⋅X₀⋅X₀⋅X₂+4^(X₀)⋅4^(X₀)⋅512⋅X₀⋅X₀⋅X₃+88⋅X₀ {O(EXP)}
t₉₇₈, X₃: 4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀ {O(EXP)}
t₉₇₈, X₄: 4⋅X₀ {O(n)}
t₉₇₈, X₅: 16⋅4^(X₀)⋅X₀+4^(X₀)⋅8⋅X₁+4^(X₀)⋅8⋅X₂+4^(X₀)⋅8⋅X₃+4⋅X₁+4⋅X₂ {O(EXP)}
t₉₇₉, X₀: 4⋅X₀ {O(n)}
t₉₇₉, X₁: 4⋅X₀ {O(n)}
t₉₇₉, X₂: 8⋅X₀ {O(n)}
t₉₇₉, X₃: 4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀ {O(EXP)}
t₉₇₉, X₄: 4⋅X₀ {O(n)}
t₉₇₉, X₅: 16⋅4^(X₀)⋅X₀+4^(X₀)⋅8⋅X₁+4^(X₀)⋅8⋅X₂+4^(X₀)⋅8⋅X₃+4⋅X₁+4⋅X₂ {O(EXP)}
t₉₈₀, X₀: 4⋅X₀ {O(n)}
t₉₈₀, X₁: 4⋅X₀ {O(n)}
t₉₈₀, X₂: 2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+4⋅4^(X₀)⋅X₀+8⋅X₀ {O(EXP)}
t₉₈₀, X₃: 4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀ {O(EXP)}
t₉₈₀, X₄: 4⋅X₀ {O(n)}
t₉₈₀, X₅: 16⋅4^(X₀)⋅X₀+4^(X₀)⋅8⋅X₁+4^(X₀)⋅8⋅X₂+4^(X₀)⋅8⋅X₃+4⋅X₁+4⋅X₂ {O(EXP)}
t₉₈₁, X₀: 2⋅X₀ {O(n)}
t₉₈₁, X₁: 2⋅4^(X₀)⋅X₀+4^(X₀)⋅X₁+4^(X₀)⋅X₂+4^(X₀)⋅X₃+4⋅X₀ {O(EXP)}
t₉₈₁, X₂: 16⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₀+16⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₁+16⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₂+16⋅4^(X₀)⋅4^(X₀)⋅X₀⋅X₃+24⋅4^(X₀)⋅X₀⋅X₁+24⋅4^(X₀)⋅X₀⋅X₂+24⋅4^(X₀)⋅X₀⋅X₃+4⋅4^(X₀)⋅4^(X₀)⋅X₁⋅X₁+4⋅4^(X₀)⋅4^(X₀)⋅X₂⋅X₂+4⋅4^(X₀)⋅4^(X₀)⋅X₃⋅X₃+4⋅4^(X₀)⋅X₀+48⋅4^(X₀)⋅X₀⋅X₀+4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₂+4^(X₀)⋅4^(X₀)⋅8⋅X₁⋅X₃+4^(X₀)⋅4^(X₀)⋅8⋅X₂⋅X₃+4^(X₀)⋅6⋅X₁+4^(X₀)⋅6⋅X₂+4^(X₀)⋅6⋅X₃+4^(X₀)⋅8⋅X₀+24⋅X₀ {O(EXP)}
t₉₈₁, X₃: 2⋅4^(X₀)⋅X₁+2⋅4^(X₀)⋅X₂+2⋅4^(X₀)⋅X₃+4⋅4^(X₀)⋅X₀ {O(EXP)}
t₉₈₁, X₄: 2⋅X₀ {O(n)}
t₉₈₁, X₅: 4⋅4^(X₀)⋅X₁+4⋅4^(X₀)⋅X₂+4⋅4^(X₀)⋅X₃+4^(X₀)⋅8⋅X₀+2⋅X₁+2⋅X₂ {O(EXP)}