Initial Problem
Start: evalrandom2dstart
Program_Vars: X₀, X₁, X₂, X₃
Temp_Vars: E
Locations: evalrandom2dLeafBlock1in, evalrandom2dLeafBlock3in, evalrandom2dLeafBlock5in, evalrandom2dLeafBlockin, evalrandom2dNewDefaultin, evalrandom2dNodeBlock7in, evalrandom2dNodeBlock9in, evalrandom2dNodeBlockin, evalrandom2dbb10in, evalrandom2dbb2in, evalrandom2dbb3in, evalrandom2dbb5in, evalrandom2dbb7in, evalrandom2dbb9in, evalrandom2dbbin, evalrandom2dentryin, evalrandom2dreturnin, evalrandom2dstart, evalrandom2dstop
Transitions:
t₁₇: evalrandom2dLeafBlock1in(X₀, X₁, X₂, X₃) → evalrandom2dNewDefaultin(X₀, X₁, X₂, X₃) :|: X₃ ≤ 0
t₁₈: evalrandom2dLeafBlock1in(X₀, X₁, X₂, X₃) → evalrandom2dNewDefaultin(X₀, X₁, X₂, X₃) :|: 2 ≤ X₃
t₁₆: evalrandom2dLeafBlock1in(X₀, X₁, X₂, X₃) → evalrandom2dbb5in(X₀, X₁, X₂, X₃) :|: X₃ ≤ 1 ∧ 1 ≤ X₃
t₂₃: evalrandom2dLeafBlock3in(X₀, X₁, X₂, X₃) → evalrandom2dNewDefaultin(X₀, X₁, X₂, X₃) :|: X₃ ≤ 1
t₂₄: evalrandom2dLeafBlock3in(X₀, X₁, X₂, X₃) → evalrandom2dNewDefaultin(X₀, X₁, X₂, X₃) :|: 3 ≤ X₃
t₂₂: evalrandom2dLeafBlock3in(X₀, X₁, X₂, X₃) → evalrandom2dbb7in(X₀, X₁, X₂, X₃) :|: X₃ ≤ 2 ∧ 2 ≤ X₃
t₂₇: evalrandom2dLeafBlock5in(X₀, X₁, X₂, X₃) → evalrandom2dNewDefaultin(X₀, X₁, X₂, X₃) :|: X₃ ≤ 2
t₂₈: evalrandom2dLeafBlock5in(X₀, X₁, X₂, X₃) → evalrandom2dNewDefaultin(X₀, X₁, X₂, X₃) :|: 4 ≤ X₃
t₂₆: evalrandom2dLeafBlock5in(X₀, X₁, X₂, X₃) → evalrandom2dbb9in(X₀, X₁, X₂, X₃) :|: X₃ ≤ 3 ∧ 3 ≤ X₃
t₁₃: evalrandom2dLeafBlockin(X₀, X₁, X₂, X₃) → evalrandom2dNewDefaultin(X₀, X₁, X₂, X₃) :|: 1+X₃ ≤ 0
t₁₄: evalrandom2dLeafBlockin(X₀, X₁, X₂, X₃) → evalrandom2dNewDefaultin(X₀, X₁, X₂, X₃) :|: 1 ≤ X₃
t₁₂: evalrandom2dLeafBlockin(X₀, X₁, X₂, X₃) → evalrandom2dbb3in(X₀, X₁, X₂, X₃) :|: 0 ≤ X₃ ∧ X₃ ≤ 0
t₃₀: evalrandom2dNewDefaultin(X₀, X₁, X₂, X₃) → evalrandom2dbb10in(X₂, X₁, X₂, X₃)
t₂₀: evalrandom2dNodeBlock7in(X₀, X₁, X₂, X₃) → evalrandom2dLeafBlock3in(X₀, X₁, X₂, X₃) :|: X₃ ≤ 2
t₂₁: evalrandom2dNodeBlock7in(X₀, X₁, X₂, X₃) → evalrandom2dLeafBlock5in(X₀, X₁, X₂, X₃) :|: 3 ≤ X₃
t₉: evalrandom2dNodeBlock9in(X₀, X₁, X₂, X₃) → evalrandom2dNodeBlock7in(X₀, X₁, X₂, X₃) :|: 2 ≤ X₃
t₈: evalrandom2dNodeBlock9in(X₀, X₁, X₂, X₃) → evalrandom2dNodeBlockin(X₀, X₁, X₂, X₃) :|: X₃ ≤ 1
t₁₁: evalrandom2dNodeBlockin(X₀, X₁, X₂, X₃) → evalrandom2dLeafBlock1in(X₀, X₁, X₂, X₃) :|: 1 ≤ X₃
t₁₀: evalrandom2dNodeBlockin(X₀, X₁, X₂, X₃) → evalrandom2dLeafBlockin(X₀, X₁, X₂, X₃) :|: X₃ ≤ 0
t₂: evalrandom2dbb10in(X₀, X₁, X₂, X₃) → evalrandom2dbbin(X₀, X₁, X₂, X₃) :|: 1+X₀ ≤ X₁
t₃: evalrandom2dbb10in(X₀, X₁, X₂, X₃) → evalrandom2dreturnin(X₀, X₁, X₂, X₃) :|: X₁ ≤ X₀
t₇: evalrandom2dbb2in(X₀, X₁, X₂, X₃) → evalrandom2dNodeBlock9in(X₀, X₁, X₂, X₃)
t₁₅: evalrandom2dbb3in(X₀, X₁, X₂, X₃) → evalrandom2dbb10in(X₂, X₁, X₂, X₃)
t₁₉: evalrandom2dbb5in(X₀, X₁, X₂, X₃) → evalrandom2dbb10in(X₂, X₁, X₂, X₃)
t₂₅: evalrandom2dbb7in(X₀, X₁, X₂, X₃) → evalrandom2dbb10in(X₂, X₁, X₂, X₃)
t₂₉: evalrandom2dbb9in(X₀, X₁, X₂, X₃) → evalrandom2dbb10in(X₂, X₁, X₂, X₃)
t₅: evalrandom2dbbin(X₀, X₁, X₂, X₃) → evalrandom2dbb10in(1+X₀, X₁, X₂, X₃) :|: 1+E ≤ 0
t₆: evalrandom2dbbin(X₀, X₁, X₂, X₃) → evalrandom2dbb10in(1+X₀, X₁, X₂, X₃) :|: 4 ≤ E
t₄: evalrandom2dbbin(X₀, X₁, X₂, X₃) → evalrandom2dbb2in(X₀, X₁, 1+X₀, E) :|: E ≤ 3 ∧ 0 ≤ E
t₁: evalrandom2dentryin(X₀, X₁, X₂, X₃) → evalrandom2dbb10in(0, X₁, X₂, X₃)
t₃₁: evalrandom2dreturnin(X₀, X₁, X₂, X₃) → evalrandom2dstop(X₀, X₁, X₂, X₃)
t₀: evalrandom2dstart(X₀, X₁, X₂, X₃) → evalrandom2dentryin(X₀, X₁, X₂, X₃)
Preprocessing
Cut unsatisfiable transition [t₁₄: evalrandom2dLeafBlockin→evalrandom2dNewDefaultin; t₁₇: evalrandom2dLeafBlock1in→evalrandom2dNewDefaultin; t₂₄: evalrandom2dLeafBlock3in→evalrandom2dNewDefaultin; t₂₇: evalrandom2dLeafBlock5in→evalrandom2dNewDefaultin]
Found invariant X₃ ≤ 0 ∧ 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalrandom2dLeafBlockin
Found invariant X₃ ≤ 3 ∧ X₃ ≤ 2+X₂ ∧ X₃ ≤ 2+X₁ ∧ X₃ ≤ 3+X₀ ∧ 3 ≤ X₃ ∧ 4 ≤ X₂+X₃ ∧ 4 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalrandom2dbb9in
Found invariant X₃ ≤ 3 ∧ X₃ ≤ 2+X₂ ∧ X₃ ≤ 2+X₁ ∧ X₃ ≤ 3+X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalrandom2dNodeBlock9in
Found invariant X₃ ≤ 2 ∧ X₃ ≤ 1+X₂ ∧ X₃ ≤ 1+X₁ ∧ X₃ ≤ 2+X₀ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 3 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalrandom2dbb7in
Found invariant X₃ ≤ 2 ∧ X₃ ≤ 1+X₂ ∧ X₃ ≤ 1+X₁ ∧ X₃ ≤ 2+X₀ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 3 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalrandom2dLeafBlock3in
Found invariant X₃ ≤ 0 ∧ 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₁ ∧ X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalrandom2dbb3in
Found invariant 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalrandom2dbbin
Found invariant X₃ ≤ 1 ∧ X₃ ≤ X₂ ∧ X₃ ≤ X₁ ∧ X₃ ≤ 1+X₀ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalrandom2dbb5in
Found invariant X₁ ≤ X₀ ∧ 0 ≤ X₀ for location evalrandom2dreturnin
Found invariant 1 ≤ 0 for location evalrandom2dNewDefaultin
Found invariant X₃ ≤ 3 ∧ X₃ ≤ 2+X₂ ∧ X₃ ≤ 2+X₁ ∧ X₃ ≤ 3+X₀ ∧ 3 ≤ X₃ ∧ 4 ≤ X₂+X₃ ∧ 4 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalrandom2dLeafBlock5in
Found invariant X₃ ≤ 3 ∧ X₃ ≤ 2+X₂ ∧ X₃ ≤ 2+X₁ ∧ X₃ ≤ 3+X₀ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 3 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalrandom2dNodeBlock7in
Found invariant X₃ ≤ 3 ∧ X₃ ≤ 2+X₂ ∧ X₃ ≤ 2+X₁ ∧ X₃ ≤ 3+X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalrandom2dbb2in
Found invariant 0 ≤ X₀ for location evalrandom2dbb10in
Found invariant X₁ ≤ X₀ ∧ 0 ≤ X₀ for location evalrandom2dstop
Found invariant X₃ ≤ 1 ∧ X₃ ≤ X₂ ∧ X₃ ≤ X₁ ∧ X₃ ≤ 1+X₀ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalrandom2dLeafBlock1in
Found invariant X₃ ≤ 1 ∧ X₃ ≤ X₂ ∧ X₃ ≤ X₁ ∧ X₃ ≤ 1+X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 0 ≤ X₀ for location evalrandom2dNodeBlockin
Cut unsatisfiable transition [t₁₃: evalrandom2dLeafBlockin→evalrandom2dNewDefaultin; t₁₈: evalrandom2dLeafBlock1in→evalrandom2dNewDefaultin; t₂₃: evalrandom2dLeafBlock3in→evalrandom2dNewDefaultin; t₂₈: evalrandom2dLeafBlock5in→evalrandom2dNewDefaultin; t₃₀: evalrandom2dNewDefaultin→evalrandom2dbb10in]
Cut unreachable locations [evalrandom2dNewDefaultin] from the program graph
Problem after Preprocessing
Start: evalrandom2dstart
Program_Vars: X₀, X₁, X₂, X₃
Temp_Vars: E
Locations: evalrandom2dLeafBlock1in, evalrandom2dLeafBlock3in, evalrandom2dLeafBlock5in, evalrandom2dLeafBlockin, evalrandom2dNodeBlock7in, evalrandom2dNodeBlock9in, evalrandom2dNodeBlockin, evalrandom2dbb10in, evalrandom2dbb2in, evalrandom2dbb3in, evalrandom2dbb5in, evalrandom2dbb7in, evalrandom2dbb9in, evalrandom2dbbin, evalrandom2dentryin, evalrandom2dreturnin, evalrandom2dstart, evalrandom2dstop
Transitions:
t₁₆: evalrandom2dLeafBlock1in(X₀, X₁, X₂, X₃) → evalrandom2dbb5in(X₀, X₁, X₂, X₃) :|: X₃ ≤ 1 ∧ 1 ≤ X₃ ∧ X₂ ≤ 1+X₀ ∧ X₃ ≤ 1+X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂+X₃ ∧ 0 ≤ X₀ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₃ ≤ X₂
t₂₂: evalrandom2dLeafBlock3in(X₀, X₁, X₂, X₃) → evalrandom2dbb7in(X₀, X₁, X₂, X₃) :|: X₃ ≤ 2 ∧ 2 ≤ X₃ ∧ X₃ ≤ 2+X₀ ∧ X₂ ≤ 1+X₀ ∧ X₃ ≤ 1+X₁ ∧ X₃ ≤ 1+X₂ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₂+X₃ ∧ 0 ≤ X₀ ∧ X₂ ≤ X₁
t₂₆: evalrandom2dLeafBlock5in(X₀, X₁, X₂, X₃) → evalrandom2dbb9in(X₀, X₁, X₂, X₃) :|: X₃ ≤ 3 ∧ 3 ≤ X₃ ∧ X₃ ≤ 3+X₀ ∧ X₃ ≤ 2+X₁ ∧ X₃ ≤ 2+X₂ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₃ ∧ 4 ≤ X₁+X₃ ∧ 4 ≤ X₂+X₃ ∧ 0 ≤ X₀ ∧ X₂ ≤ X₁
t₁₂: evalrandom2dLeafBlockin(X₀, X₁, X₂, X₃) → evalrandom2dbb3in(X₀, X₁, X₂, X₃) :|: 0 ≤ X₃ ∧ X₃ ≤ 0 ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₃ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ X₃ ≤ X₀ ∧ X₂ ≤ X₁
t₂₀: evalrandom2dNodeBlock7in(X₀, X₁, X₂, X₃) → evalrandom2dLeafBlock3in(X₀, X₁, X₂, X₃) :|: X₃ ≤ 2 ∧ X₃ ≤ 3+X₀ ∧ X₃ ≤ 3 ∧ X₃ ≤ 2+X₁ ∧ X₃ ≤ 2+X₂ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₃ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₂+X₃ ∧ 0 ≤ X₀ ∧ X₂ ≤ X₁
t₂₁: evalrandom2dNodeBlock7in(X₀, X₁, X₂, X₃) → evalrandom2dLeafBlock5in(X₀, X₁, X₂, X₃) :|: 3 ≤ X₃ ∧ X₃ ≤ 3+X₀ ∧ X₃ ≤ 3 ∧ X₃ ≤ 2+X₁ ∧ X₃ ≤ 2+X₂ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₃ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₂+X₃ ∧ 0 ≤ X₀ ∧ X₂ ≤ X₁
t₉: evalrandom2dNodeBlock9in(X₀, X₁, X₂, X₃) → evalrandom2dNodeBlock7in(X₀, X₁, X₂, X₃) :|: 2 ≤ X₃ ∧ X₃ ≤ 3+X₀ ∧ X₃ ≤ 3 ∧ X₃ ≤ 2+X₁ ∧ X₃ ≤ 2+X₂ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₂ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₃
t₈: evalrandom2dNodeBlock9in(X₀, X₁, X₂, X₃) → evalrandom2dNodeBlockin(X₀, X₁, X₂, X₃) :|: X₃ ≤ 1 ∧ X₃ ≤ 3+X₀ ∧ X₃ ≤ 3 ∧ X₃ ≤ 2+X₁ ∧ X₃ ≤ 2+X₂ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₂ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₃
t₁₁: evalrandom2dNodeBlockin(X₀, X₁, X₂, X₃) → evalrandom2dLeafBlock1in(X₀, X₁, X₂, X₃) :|: 1 ≤ X₃ ∧ X₂ ≤ 1+X₀ ∧ X₃ ≤ 1+X₀ ∧ X₃ ≤ 1 ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₂ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₃ ≤ X₂ ∧ 0 ≤ X₃
t₁₀: evalrandom2dNodeBlockin(X₀, X₁, X₂, X₃) → evalrandom2dLeafBlockin(X₀, X₁, X₂, X₃) :|: X₃ ≤ 0 ∧ X₂ ≤ 1+X₀ ∧ X₃ ≤ 1+X₀ ∧ X₃ ≤ 1 ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₂ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₃ ≤ X₂ ∧ 0 ≤ X₃
t₂: evalrandom2dbb10in(X₀, X₁, X₂, X₃) → evalrandom2dbbin(X₀, X₁, X₂, X₃) :|: 1+X₀ ≤ X₁ ∧ 0 ≤ X₀
t₃: evalrandom2dbb10in(X₀, X₁, X₂, X₃) → evalrandom2dreturnin(X₀, X₁, X₂, X₃) :|: X₁ ≤ X₀ ∧ 0 ≤ X₀
t₇: evalrandom2dbb2in(X₀, X₁, X₂, X₃) → evalrandom2dNodeBlock9in(X₀, X₁, X₂, X₃) :|: X₃ ≤ 3+X₀ ∧ X₃ ≤ 3 ∧ X₃ ≤ 2+X₁ ∧ X₃ ≤ 2+X₂ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₂ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₃
t₁₅: evalrandom2dbb3in(X₀, X₁, X₂, X₃) → evalrandom2dbb10in(X₂, X₁, X₂, X₃) :|: X₂ ≤ 1+X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₃ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ X₃ ≤ X₀ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₃ ∧ X₃ ≤ 0
t₁₉: evalrandom2dbb5in(X₀, X₁, X₂, X₃) → evalrandom2dbb10in(X₂, X₁, X₂, X₃) :|: X₂ ≤ 1+X₀ ∧ X₃ ≤ 1+X₀ ∧ X₃ ≤ 1 ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂+X₃ ∧ 0 ≤ X₀ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₃ ≤ X₂
t₂₅: evalrandom2dbb7in(X₀, X₁, X₂, X₃) → evalrandom2dbb10in(X₂, X₁, X₂, X₃) :|: X₃ ≤ 2+X₀ ∧ X₃ ≤ 2 ∧ X₂ ≤ 1+X₀ ∧ X₃ ≤ 1+X₁ ∧ X₃ ≤ 1+X₂ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₃ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₂+X₃ ∧ 0 ≤ X₀ ∧ X₂ ≤ X₁
t₂₉: evalrandom2dbb9in(X₀, X₁, X₂, X₃) → evalrandom2dbb10in(X₂, X₁, X₂, X₃) :|: X₃ ≤ 3+X₀ ∧ X₃ ≤ 3 ∧ X₃ ≤ 2+X₁ ∧ X₃ ≤ 2+X₂ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 4 ≤ X₂+X₃ ∧ 0 ≤ X₀ ∧ X₂ ≤ X₁
t₅: evalrandom2dbbin(X₀, X₁, X₂, X₃) → evalrandom2dbb10in(1+X₀, X₁, X₂, X₃) :|: 1+E ≤ 0 ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₀
t₆: evalrandom2dbbin(X₀, X₁, X₂, X₃) → evalrandom2dbb10in(1+X₀, X₁, X₂, X₃) :|: 4 ≤ E ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₀
t₄: evalrandom2dbbin(X₀, X₁, X₂, X₃) → evalrandom2dbb2in(X₀, X₁, 1+X₀, E) :|: E ≤ 3 ∧ 0 ≤ E ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₀
t₁: evalrandom2dentryin(X₀, X₁, X₂, X₃) → evalrandom2dbb10in(0, X₁, X₂, X₃)
t₃₁: evalrandom2dreturnin(X₀, X₁, X₂, X₃) → evalrandom2dstop(X₀, X₁, X₂, X₃) :|: 0 ≤ X₀ ∧ X₁ ≤ X₀
t₀: evalrandom2dstart(X₀, X₁, X₂, X₃) → evalrandom2dentryin(X₀, X₁, X₂, X₃)
MPRF for transition t₂: evalrandom2dbb10in(X₀, X₁, X₂, X₃) → evalrandom2dbbin(X₀, X₁, X₂, X₃) :|: 1+X₀ ≤ X₁ ∧ 0 ≤ X₀ of depth 1:
new bound:
X₁ {O(n)}
MPRF:
• evalrandom2dLeafBlock1in: [X₁-1-X₀]
• evalrandom2dLeafBlock3in: [X₁-1-X₀]
• evalrandom2dLeafBlock5in: [X₁-1-X₀]
• evalrandom2dLeafBlockin: [X₁-1-X₀]
• evalrandom2dNodeBlock7in: [X₁-1-X₀]
• evalrandom2dNodeBlock9in: [X₁-1-X₀]
• evalrandom2dNodeBlockin: [X₁-1-X₀]
• evalrandom2dbb10in: [X₁-X₀]
• evalrandom2dbb2in: [X₁-1-X₀]
• evalrandom2dbb3in: [X₁-1-X₀]
• evalrandom2dbb5in: [X₁-1-X₀]
• evalrandom2dbb7in: [X₁-1-X₀]
• evalrandom2dbb9in: [X₁-1-X₀]
• evalrandom2dbbin: [X₁-1-X₀]
MPRF for transition t₄: evalrandom2dbbin(X₀, X₁, X₂, X₃) → evalrandom2dbb2in(X₀, X₁, 1+X₀, E) :|: E ≤ 3 ∧ 0 ≤ E ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₀ of depth 1:
new bound:
X₁ {O(n)}
MPRF:
• evalrandom2dLeafBlock1in: [X₁-1-X₀]
• evalrandom2dLeafBlock3in: [X₁-1-X₀]
• evalrandom2dLeafBlock5in: [X₁-1-X₀]
• evalrandom2dLeafBlockin: [X₁-X₂]
• evalrandom2dNodeBlock7in: [X₁-1-X₀]
• evalrandom2dNodeBlock9in: [X₁-1-X₀]
• evalrandom2dNodeBlockin: [X₁-1-X₀]
• evalrandom2dbb10in: [X₁-X₀]
• evalrandom2dbb2in: [X₁-1-X₀]
• evalrandom2dbb3in: [X₁-X₂]
• evalrandom2dbb5in: [X₁-1-X₀]
• evalrandom2dbb7in: [X₁-1-X₀]
• evalrandom2dbb9in: [X₁-1-X₀]
• evalrandom2dbbin: [X₁-X₀]
MPRF for transition t₅: evalrandom2dbbin(X₀, X₁, X₂, X₃) → evalrandom2dbb10in(1+X₀, X₁, X₂, X₃) :|: 1+E ≤ 0 ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₀ of depth 1:
new bound:
X₁ {O(n)}
MPRF:
• evalrandom2dLeafBlock1in: [X₁-X₂]
• evalrandom2dLeafBlock3in: [X₁-X₀]
• evalrandom2dLeafBlock5in: [X₁-X₀]
• evalrandom2dLeafBlockin: [X₁-X₂]
• evalrandom2dNodeBlock7in: [X₁-X₀]
• evalrandom2dNodeBlock9in: [X₁-X₀]
• evalrandom2dNodeBlockin: [X₁-X₂]
• evalrandom2dbb10in: [X₁-X₀]
• evalrandom2dbb2in: [X₁-X₀]
• evalrandom2dbb3in: [X₁-X₂]
• evalrandom2dbb5in: [X₁-X₂]
• evalrandom2dbb7in: [X₁-X₀]
• evalrandom2dbb9in: [X₁-X₀]
• evalrandom2dbbin: [X₁-X₀]
MPRF for transition t₆: evalrandom2dbbin(X₀, X₁, X₂, X₃) → evalrandom2dbb10in(1+X₀, X₁, X₂, X₃) :|: 4 ≤ E ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ 1 ≤ X₁ ∧ 0 ≤ X₀ of depth 1:
new bound:
X₁ {O(n)}
MPRF:
• evalrandom2dLeafBlock1in: [X₁-X₂]
• evalrandom2dLeafBlock3in: [X₁-X₀]
• evalrandom2dLeafBlock5in: [X₁-X₀]
• evalrandom2dLeafBlockin: [X₁-X₂]
• evalrandom2dNodeBlock7in: [X₁-X₀]
• evalrandom2dNodeBlock9in: [1+X₁-X₂]
• evalrandom2dNodeBlockin: [X₁-X₂]
• evalrandom2dbb10in: [X₁-X₀]
• evalrandom2dbb2in: [X₁-X₀]
• evalrandom2dbb3in: [X₁-X₂]
• evalrandom2dbb5in: [X₁-X₂]
• evalrandom2dbb7in: [X₁-X₀]
• evalrandom2dbb9in: [X₁-X₀]
• evalrandom2dbbin: [X₁-X₀]
MPRF for transition t₇: evalrandom2dbb2in(X₀, X₁, X₂, X₃) → evalrandom2dNodeBlock9in(X₀, X₁, X₂, X₃) :|: X₃ ≤ 3+X₀ ∧ X₃ ≤ 3 ∧ X₃ ≤ 2+X₁ ∧ X₃ ≤ 2+X₂ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₂ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₃ of depth 1:
new bound:
X₁ {O(n)}
MPRF:
• evalrandom2dLeafBlock1in: [X₁-1-X₀]
• evalrandom2dLeafBlock3in: [X₁-1-X₀]
• evalrandom2dLeafBlock5in: [X₁-1-X₀]
• evalrandom2dLeafBlockin: [X₁-X₂]
• evalrandom2dNodeBlock7in: [X₁-1-X₀]
• evalrandom2dNodeBlock9in: [X₁-1-X₀]
• evalrandom2dNodeBlockin: [X₁-X₂]
• evalrandom2dbb10in: [X₁-X₀]
• evalrandom2dbb2in: [X₁-X₀]
• evalrandom2dbb3in: [X₁-1-X₀]
• evalrandom2dbb5in: [X₁-X₂]
• evalrandom2dbb7in: [X₁-X₂]
• evalrandom2dbb9in: [X₁-1-X₀]
• evalrandom2dbbin: [X₁-X₀]
MPRF for transition t₈: evalrandom2dNodeBlock9in(X₀, X₁, X₂, X₃) → evalrandom2dNodeBlockin(X₀, X₁, X₂, X₃) :|: X₃ ≤ 1 ∧ X₃ ≤ 3+X₀ ∧ X₃ ≤ 3 ∧ X₃ ≤ 2+X₁ ∧ X₃ ≤ 2+X₂ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₂ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₃ of depth 1:
new bound:
X₁ {O(n)}
MPRF:
• evalrandom2dLeafBlock1in: [X₁-1-X₀]
• evalrandom2dLeafBlock3in: [X₁-X₂]
• evalrandom2dLeafBlock5in: [X₁-X₀]
• evalrandom2dLeafBlockin: [X₁-1-X₀]
• evalrandom2dNodeBlock7in: [X₁-X₀]
• evalrandom2dNodeBlock9in: [X₁-X₀]
• evalrandom2dNodeBlockin: [X₁-1-X₀]
• evalrandom2dbb10in: [X₁-X₀]
• evalrandom2dbb2in: [1+X₁-X₂]
• evalrandom2dbb3in: [X₁-X₂]
• evalrandom2dbb5in: [X₁-X₂]
• evalrandom2dbb7in: [X₁-X₂]
• evalrandom2dbb9in: [X₁-X₀]
• evalrandom2dbbin: [X₁-X₀]
MPRF for transition t₉: evalrandom2dNodeBlock9in(X₀, X₁, X₂, X₃) → evalrandom2dNodeBlock7in(X₀, X₁, X₂, X₃) :|: 2 ≤ X₃ ∧ X₃ ≤ 3+X₀ ∧ X₃ ≤ 3 ∧ X₃ ≤ 2+X₁ ∧ X₃ ≤ 2+X₂ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₂ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₃ of depth 1:
new bound:
2⋅X₁+1 {O(n)}
MPRF:
• evalrandom2dLeafBlock1in: [2⋅X₁+X₂-3⋅X₀]
• evalrandom2dLeafBlock3in: [2⋅X₁+X₃-2⋅X₂]
• evalrandom2dLeafBlock5in: [2⋅X₁-2⋅X₀]
• evalrandom2dLeafBlockin: [1+2⋅X₁-2⋅X₂]
• evalrandom2dNodeBlock7in: [2⋅X₁-2⋅X₀]
• evalrandom2dNodeBlock9in: [1+2⋅X₁-2⋅X₀]
• evalrandom2dNodeBlockin: [2⋅X₁+X₂-3⋅X₀]
• evalrandom2dbb10in: [1+2⋅X₁-2⋅X₀]
• evalrandom2dbb2in: [1+2⋅X₁-2⋅X₀]
• evalrandom2dbb3in: [1+2⋅X₁-2⋅X₂]
• evalrandom2dbb5in: [2⋅X₁+X₂-3⋅X₀]
• evalrandom2dbb7in: [1+2⋅X₁-2⋅X₂]
• evalrandom2dbb9in: [2⋅X₁-2⋅X₀]
• evalrandom2dbbin: [1+2⋅X₁-2⋅X₀]
MPRF for transition t₁₀: evalrandom2dNodeBlockin(X₀, X₁, X₂, X₃) → evalrandom2dLeafBlockin(X₀, X₁, X₂, X₃) :|: X₃ ≤ 0 ∧ X₂ ≤ 1+X₀ ∧ X₃ ≤ 1+X₀ ∧ X₃ ≤ 1 ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₂ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₃ ≤ X₂ ∧ 0 ≤ X₃ of depth 1:
new bound:
X₁ {O(n)}
MPRF:
• evalrandom2dLeafBlock1in: [X₁-X₂]
• evalrandom2dLeafBlock3in: [X₁-X₀]
• evalrandom2dLeafBlock5in: [X₁-X₀]
• evalrandom2dLeafBlockin: [X₁-X₂]
• evalrandom2dNodeBlock7in: [X₁-X₀]
• evalrandom2dNodeBlock9in: [X₁-X₀]
• evalrandom2dNodeBlockin: [1+X₁-X₂]
• evalrandom2dbb10in: [X₁-X₀]
• evalrandom2dbb2in: [1+X₁-X₂]
• evalrandom2dbb3in: [X₁-X₂]
• evalrandom2dbb5in: [X₁-X₂]
• evalrandom2dbb7in: [X₁-X₀]
• evalrandom2dbb9in: [X₁-X₀]
• evalrandom2dbbin: [X₁-X₀]
MPRF for transition t₁₁: evalrandom2dNodeBlockin(X₀, X₁, X₂, X₃) → evalrandom2dLeafBlock1in(X₀, X₁, X₂, X₃) :|: 1 ≤ X₃ ∧ X₂ ≤ 1+X₀ ∧ X₃ ≤ 1+X₀ ∧ X₃ ≤ 1 ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₂ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₃ ≤ X₂ ∧ 0 ≤ X₃ of depth 1:
new bound:
X₁+1 {O(n)}
MPRF:
• evalrandom2dLeafBlock1in: [1+X₁-X₂]
• evalrandom2dLeafBlock3in: [X₁+X₃-X₂]
• evalrandom2dLeafBlock5in: [1+X₁-X₂]
• evalrandom2dLeafBlockin: [2+X₁-X₂]
• evalrandom2dNodeBlock7in: [2+X₁-X₂]
• evalrandom2dNodeBlock9in: [1+X₁-X₀]
• evalrandom2dNodeBlockin: [2+X₁-X₂]
• evalrandom2dbb10in: [1+X₁-X₀]
• evalrandom2dbb2in: [1+X₁-X₀]
• evalrandom2dbb3in: [X₁+X₂-2⋅X₀]
• evalrandom2dbb5in: [X₁+X₃-X₂]
• evalrandom2dbb7in: [X₁+X₃-X₂]
• evalrandom2dbb9in: [1+X₁-X₂]
• evalrandom2dbbin: [1+X₁-X₀]
MPRF for transition t₁₂: evalrandom2dLeafBlockin(X₀, X₁, X₂, X₃) → evalrandom2dbb3in(X₀, X₁, X₂, X₃) :|: 0 ≤ X₃ ∧ X₃ ≤ 0 ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₃ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ X₃ ≤ X₀ ∧ X₂ ≤ X₁ of depth 1:
new bound:
X₁ {O(n)}
MPRF:
• evalrandom2dLeafBlock1in: [X₁-X₀]
• evalrandom2dLeafBlock3in: [X₁-X₀]
• evalrandom2dLeafBlock5in: [X₁-X₀]
• evalrandom2dLeafBlockin: [X₁-X₀]
• evalrandom2dNodeBlock7in: [X₁-X₀]
• evalrandom2dNodeBlock9in: [X₁-X₀]
• evalrandom2dNodeBlockin: [X₁-X₀]
• evalrandom2dbb10in: [X₁-X₀]
• evalrandom2dbb2in: [X₁-X₀]
• evalrandom2dbb3in: [X₁-X₂]
• evalrandom2dbb5in: [X₁-X₀]
• evalrandom2dbb7in: [X₁-X₀]
• evalrandom2dbb9in: [X₁-X₀]
• evalrandom2dbbin: [X₁-X₀]
MPRF for transition t₁₅: evalrandom2dbb3in(X₀, X₁, X₂, X₃) → evalrandom2dbb10in(X₂, X₁, X₂, X₃) :|: X₂ ≤ 1+X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₃ ∧ 1+X₃ ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 0 ≤ X₀ ∧ 0 ≤ X₀+X₃ ∧ X₃ ≤ X₀ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₃ ∧ X₃ ≤ 0 of depth 1:
new bound:
X₁ {O(n)}
MPRF:
• evalrandom2dLeafBlock1in: [X₁-X₂]
• evalrandom2dLeafBlock3in: [X₁-X₂]
• evalrandom2dLeafBlock5in: [X₁-X₂]
• evalrandom2dLeafBlockin: [X₁-X₀]
• evalrandom2dNodeBlock7in: [X₁-X₂]
• evalrandom2dNodeBlock9in: [1+X₁-X₂]
• evalrandom2dNodeBlockin: [1+X₁-X₂]
• evalrandom2dbb10in: [X₁-X₀]
• evalrandom2dbb2in: [X₁-X₀]
• evalrandom2dbb3in: [X₁-X₀]
• evalrandom2dbb5in: [X₁-X₂]
• evalrandom2dbb7in: [X₁-X₂]
• evalrandom2dbb9in: [X₁-X₂]
• evalrandom2dbbin: [X₁-X₀]
MPRF for transition t₁₆: evalrandom2dLeafBlock1in(X₀, X₁, X₂, X₃) → evalrandom2dbb5in(X₀, X₁, X₂, X₃) :|: X₃ ≤ 1 ∧ 1 ≤ X₃ ∧ X₂ ≤ 1+X₀ ∧ X₃ ≤ 1+X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂+X₃ ∧ 0 ≤ X₀ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₃ ≤ X₂ of depth 1:
new bound:
X₁+1 {O(n)}
MPRF:
• evalrandom2dLeafBlock1in: [1+X₁-X₀]
• evalrandom2dLeafBlock3in: [X₁-X₀]
• evalrandom2dLeafBlock5in: [1+X₁-X₂]
• evalrandom2dLeafBlockin: [1+X₁-X₀]
• evalrandom2dNodeBlock7in: [X₁-X₀]
• evalrandom2dNodeBlock9in: [1+X₁-X₀]
• evalrandom2dNodeBlockin: [1+X₁-X₀]
• evalrandom2dbb10in: [1+X₁-X₀]
• evalrandom2dbb2in: [1+X₁-X₀]
• evalrandom2dbb3in: [1+X₁-X₂]
• evalrandom2dbb5in: [1+X₁-X₂]
• evalrandom2dbb7in: [X₁-X₀]
• evalrandom2dbb9in: [1+X₁-X₂]
• evalrandom2dbbin: [1+X₁-X₀]
MPRF for transition t₁₉: evalrandom2dbb5in(X₀, X₁, X₂, X₃) → evalrandom2dbb10in(X₂, X₁, X₂, X₃) :|: X₂ ≤ 1+X₀ ∧ X₃ ≤ 1+X₀ ∧ X₃ ≤ 1 ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂+X₃ ∧ 0 ≤ X₀ ∧ X₂ ≤ X₁ ∧ X₃ ≤ X₁ ∧ X₃ ≤ X₂ of depth 1:
new bound:
X₁ {O(n)}
MPRF:
• evalrandom2dLeafBlock1in: [X₁-X₀]
• evalrandom2dLeafBlock3in: [X₁-X₂]
• evalrandom2dLeafBlock5in: [X₁-X₂]
• evalrandom2dLeafBlockin: [X₁-X₀]
• evalrandom2dNodeBlock7in: [X₁-X₂]
• evalrandom2dNodeBlock9in: [1+X₁-X₂]
• evalrandom2dNodeBlockin: [1+X₁-X₂]
• evalrandom2dbb10in: [X₁-X₀]
• evalrandom2dbb2in: [X₁-X₀]
• evalrandom2dbb3in: [X₁-X₀]
• evalrandom2dbb5in: [X₁-X₀]
• evalrandom2dbb7in: [X₁-X₂]
• evalrandom2dbb9in: [X₁-X₂]
• evalrandom2dbbin: [X₁-X₀]
MPRF for transition t₂₀: evalrandom2dNodeBlock7in(X₀, X₁, X₂, X₃) → evalrandom2dLeafBlock3in(X₀, X₁, X₂, X₃) :|: X₃ ≤ 2 ∧ X₃ ≤ 3+X₀ ∧ X₃ ≤ 3 ∧ X₃ ≤ 2+X₁ ∧ X₃ ≤ 2+X₂ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₃ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₂+X₃ ∧ 0 ≤ X₀ ∧ X₂ ≤ X₁ of depth 1:
new bound:
X₁ {O(n)}
MPRF:
• evalrandom2dLeafBlock1in: [X₁+X₂-2⋅X₀-X₃]
• evalrandom2dLeafBlock3in: [X₁-1-X₀]
• evalrandom2dLeafBlock5in: [X₁-X₀]
• evalrandom2dLeafBlockin: [X₁-X₀]
• evalrandom2dNodeBlock7in: [X₁-X₀]
• evalrandom2dNodeBlock9in: [X₁-X₀]
• evalrandom2dNodeBlockin: [X₁-X₀]
• evalrandom2dbb10in: [X₁-X₀]
• evalrandom2dbb2in: [1+X₁-X₂]
• evalrandom2dbb3in: [X₁-X₀]
• evalrandom2dbb5in: [X₁+X₂-1-2⋅X₀]
• evalrandom2dbb7in: [X₁-X₂]
• evalrandom2dbb9in: [X₁-X₂]
• evalrandom2dbbin: [X₁-X₀]
MPRF for transition t₂₁: evalrandom2dNodeBlock7in(X₀, X₁, X₂, X₃) → evalrandom2dLeafBlock5in(X₀, X₁, X₂, X₃) :|: 3 ≤ X₃ ∧ X₃ ≤ 3+X₀ ∧ X₃ ≤ 3 ∧ X₃ ≤ 2+X₁ ∧ X₃ ≤ 2+X₂ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₃ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₂+X₃ ∧ 0 ≤ X₀ ∧ X₂ ≤ X₁ of depth 1:
new bound:
X₁+1 {O(n)}
MPRF:
• evalrandom2dLeafBlock1in: [X₁+X₃-X₀]
• evalrandom2dLeafBlock3in: [1+X₁-X₂]
• evalrandom2dLeafBlock5in: [1+X₁-X₂]
• evalrandom2dLeafBlockin: [X₁+X₂-2⋅X₀]
• evalrandom2dNodeBlock7in: [2+X₁-X₂]
• evalrandom2dNodeBlock9in: [2+X₁-X₂]
• evalrandom2dNodeBlockin: [1+X₁-X₀]
• evalrandom2dbb10in: [1+X₁-X₀]
• evalrandom2dbb2in: [1+X₁-X₀]
• evalrandom2dbb3in: [X₁+X₂-2⋅X₀]
• evalrandom2dbb5in: [1+X₁-X₀]
• evalrandom2dbb7in: [1+X₁-X₂]
• evalrandom2dbb9in: [1+X₁-X₂]
• evalrandom2dbbin: [1+X₁-X₀]
MPRF for transition t₂₂: evalrandom2dLeafBlock3in(X₀, X₁, X₂, X₃) → evalrandom2dbb7in(X₀, X₁, X₂, X₃) :|: X₃ ≤ 2 ∧ 2 ≤ X₃ ∧ X₃ ≤ 2+X₀ ∧ X₂ ≤ 1+X₀ ∧ X₃ ≤ 1+X₁ ∧ X₃ ≤ 1+X₂ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₁+X₂ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₂+X₃ ∧ 0 ≤ X₀ ∧ X₂ ≤ X₁ of depth 1:
new bound:
X₁ {O(n)}
MPRF:
• evalrandom2dLeafBlock1in: [X₁-X₂]
• evalrandom2dLeafBlock3in: [X₁-X₀]
• evalrandom2dLeafBlock5in: [X₁-X₀]
• evalrandom2dLeafBlockin: [X₁-1-X₀]
• evalrandom2dNodeBlock7in: [X₁-X₀]
• evalrandom2dNodeBlock9in: [X₁-X₀]
• evalrandom2dNodeBlockin: [X₁-1-X₀]
• evalrandom2dbb10in: [X₁-X₀]
• evalrandom2dbb2in: [X₁-X₀]
• evalrandom2dbb3in: [X₁-X₂]
• evalrandom2dbb5in: [X₁-X₂]
• evalrandom2dbb7in: [X₁-1-X₀]
• evalrandom2dbb9in: [X₁-X₀]
• evalrandom2dbbin: [X₁-X₀]
MPRF for transition t₂₅: evalrandom2dbb7in(X₀, X₁, X₂, X₃) → evalrandom2dbb10in(X₂, X₁, X₂, X₃) :|: X₃ ≤ 2+X₀ ∧ X₃ ≤ 2 ∧ X₂ ≤ 1+X₀ ∧ X₃ ≤ 1+X₁ ∧ X₃ ≤ 1+X₂ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₃ ∧ 3 ≤ X₁+X₃ ∧ 3 ≤ X₂+X₃ ∧ 0 ≤ X₀ ∧ X₂ ≤ X₁ of depth 1:
new bound:
X₁ {O(n)}
MPRF:
• evalrandom2dLeafBlock1in: [X₁-X₂]
• evalrandom2dLeafBlock3in: [X₁-X₀]
• evalrandom2dLeafBlock5in: [X₁-X₂]
• evalrandom2dLeafBlockin: [X₁-X₀]
• evalrandom2dNodeBlock7in: [1+X₁-X₂]
• evalrandom2dNodeBlock9in: [1+X₁-X₂]
• evalrandom2dNodeBlockin: [X₁-X₀]
• evalrandom2dbb10in: [X₁-X₀]
• evalrandom2dbb2in: [1+X₁-X₂]
• evalrandom2dbb3in: [X₁-X₀]
• evalrandom2dbb5in: [X₁-1-X₀]
• evalrandom2dbb7in: [X₁-X₀]
• evalrandom2dbb9in: [X₁-X₂]
• evalrandom2dbbin: [X₁-X₀]
MPRF for transition t₂₆: evalrandom2dLeafBlock5in(X₀, X₁, X₂, X₃) → evalrandom2dbb9in(X₀, X₁, X₂, X₃) :|: X₃ ≤ 3 ∧ 3 ≤ X₃ ∧ X₃ ≤ 3+X₀ ∧ X₃ ≤ 2+X₁ ∧ X₃ ≤ 2+X₂ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₃ ∧ 4 ≤ X₁+X₃ ∧ 4 ≤ X₂+X₃ ∧ 0 ≤ X₀ ∧ X₂ ≤ X₁ of depth 1:
new bound:
X₁+2 {O(n)}
MPRF:
• evalrandom2dLeafBlock1in: [2+X₁-X₂]
• evalrandom2dLeafBlock3in: [3+X₁-X₀-X₃]
• evalrandom2dLeafBlock5in: [2+X₁-X₀]
• evalrandom2dLeafBlockin: [2+X₁-X₂]
• evalrandom2dNodeBlock7in: [2+X₁-X₀]
• evalrandom2dNodeBlock9in: [2+X₁-X₀]
• evalrandom2dNodeBlockin: [2+X₁-X₂]
• evalrandom2dbb10in: [2+X₁-X₀]
• evalrandom2dbb2in: [2+X₁-X₀]
• evalrandom2dbb3in: [1+X₁-X₀]
• evalrandom2dbb5in: [2+X₁-X₂]
• evalrandom2dbb7in: [3+X₁-X₀-X₃]
• evalrandom2dbb9in: [1+X₁-X₀]
• evalrandom2dbbin: [2+X₁-X₀]
MPRF for transition t₂₉: evalrandom2dbb9in(X₀, X₁, X₂, X₃) → evalrandom2dbb10in(X₂, X₁, X₂, X₃) :|: X₃ ≤ 3+X₀ ∧ X₃ ≤ 3 ∧ X₃ ≤ 2+X₁ ∧ X₃ ≤ 2+X₂ ∧ X₂ ≤ 1+X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₃ ∧ 3 ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 4 ≤ X₂+X₃ ∧ 0 ≤ X₀ ∧ X₂ ≤ X₁ of depth 1:
new bound:
X₁ {O(n)}
MPRF:
• evalrandom2dLeafBlock1in: [X₁-X₀]
• evalrandom2dLeafBlock3in: [X₁-X₀]
• evalrandom2dLeafBlock5in: [1+X₁-X₂]
• evalrandom2dLeafBlockin: [X₁-X₀]
• evalrandom2dNodeBlock7in: [1+X₁-X₂]
• evalrandom2dNodeBlock9in: [1+X₁-X₂]
• evalrandom2dNodeBlockin: [X₁-X₀]
• evalrandom2dbb10in: [X₁-X₀]
• evalrandom2dbb2in: [X₁-X₀]
• evalrandom2dbb3in: [X₁-X₂]
• evalrandom2dbb5in: [X₁-X₀]
• evalrandom2dbb7in: [X₁-X₀]
• evalrandom2dbb9in: [1+X₁-X₂]
• evalrandom2dbbin: [X₁-X₀]
All Bounds
Timebounds
Overall timebound:20⋅X₁+10 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: X₁ {O(n)}
t₃: 1 {O(1)}
t₄: X₁ {O(n)}
t₅: X₁ {O(n)}
t₆: X₁ {O(n)}
t₇: X₁ {O(n)}
t₈: X₁ {O(n)}
t₉: 2⋅X₁+1 {O(n)}
t₁₀: X₁ {O(n)}
t₁₁: X₁+1 {O(n)}
t₁₂: X₁ {O(n)}
t₁₅: X₁ {O(n)}
t₁₆: X₁+1 {O(n)}
t₁₉: X₁ {O(n)}
t₂₀: X₁ {O(n)}
t₂₁: X₁+1 {O(n)}
t₂₂: X₁ {O(n)}
t₂₅: X₁ {O(n)}
t₂₆: X₁+2 {O(n)}
t₂₉: X₁ {O(n)}
t₃₁: 1 {O(1)}
Costbounds
Overall costbound: 20⋅X₁+10 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: X₁ {O(n)}
t₃: 1 {O(1)}
t₄: X₁ {O(n)}
t₅: X₁ {O(n)}
t₆: X₁ {O(n)}
t₇: X₁ {O(n)}
t₈: X₁ {O(n)}
t₉: 2⋅X₁+1 {O(n)}
t₁₀: X₁ {O(n)}
t₁₁: X₁+1 {O(n)}
t₁₂: X₁ {O(n)}
t₁₅: X₁ {O(n)}
t₁₆: X₁+1 {O(n)}
t₁₉: X₁ {O(n)}
t₂₀: X₁ {O(n)}
t₂₁: X₁+1 {O(n)}
t₂₂: X₁ {O(n)}
t₂₅: X₁ {O(n)}
t₂₆: X₁+2 {O(n)}
t₂₉: X₁ {O(n)}
t₃₁: 1 {O(1)}
Sizebounds
t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}
t₀, X₃: X₃ {O(n)}
t₁, X₀: 0 {O(1)}
t₁, X₁: X₁ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₂, X₀: 6⋅X₁ {O(n)}
t₂, X₁: X₁ {O(n)}
t₂, X₂: 24⋅X₁+X₂+4 {O(n)}
t₂, X₃: X₃+6 {O(n)}
t₃, X₀: 36⋅X₁ {O(n)}
t₃, X₁: 7⋅X₁ {O(n)}
t₃, X₂: 3⋅X₂+72⋅X₁+12 {O(n)}
t₃, X₃: 3⋅X₃+18 {O(n)}
t₄, X₀: 6⋅X₁ {O(n)}
t₄, X₁: X₁ {O(n)}
t₄, X₂: 6⋅X₁+1 {O(n)}
t₄, X₃: 3 {O(1)}
t₅, X₀: 6⋅X₁ {O(n)}
t₅, X₁: X₁ {O(n)}
t₅, X₂: 24⋅X₁+X₂+4 {O(n)}
t₅, X₃: X₃+6 {O(n)}
t₆, X₀: 6⋅X₁ {O(n)}
t₆, X₁: X₁ {O(n)}
t₆, X₂: 24⋅X₁+X₂+4 {O(n)}
t₆, X₃: X₃+6 {O(n)}
t₇, X₀: 6⋅X₁ {O(n)}
t₇, X₁: X₁ {O(n)}
t₇, X₂: 6⋅X₁+1 {O(n)}
t₇, X₃: 3 {O(1)}
t₈, X₀: 6⋅X₁ {O(n)}
t₈, X₁: X₁ {O(n)}
t₈, X₂: 6⋅X₁+1 {O(n)}
t₈, X₃: 1 {O(1)}
t₉, X₀: 6⋅X₁ {O(n)}
t₉, X₁: X₁ {O(n)}
t₉, X₂: 6⋅X₁+1 {O(n)}
t₉, X₃: 3 {O(1)}
t₁₀, X₀: 6⋅X₁ {O(n)}
t₁₀, X₁: X₁ {O(n)}
t₁₀, X₂: 6⋅X₁+1 {O(n)}
t₁₀, X₃: 0 {O(1)}
t₁₁, X₀: 6⋅X₁ {O(n)}
t₁₁, X₁: X₁ {O(n)}
t₁₁, X₂: 6⋅X₁+1 {O(n)}
t₁₁, X₃: 1 {O(1)}
t₁₂, X₀: 6⋅X₁ {O(n)}
t₁₂, X₁: X₁ {O(n)}
t₁₂, X₂: 6⋅X₁+1 {O(n)}
t₁₂, X₃: 0 {O(1)}
t₁₅, X₀: 6⋅X₁ {O(n)}
t₁₅, X₁: X₁ {O(n)}
t₁₅, X₂: 6⋅X₁+1 {O(n)}
t₁₅, X₃: 0 {O(1)}
t₁₆, X₀: 6⋅X₁ {O(n)}
t₁₆, X₁: X₁ {O(n)}
t₁₆, X₂: 6⋅X₁+1 {O(n)}
t₁₆, X₃: 1 {O(1)}
t₁₉, X₀: 6⋅X₁ {O(n)}
t₁₉, X₁: X₁ {O(n)}
t₁₉, X₂: 6⋅X₁+1 {O(n)}
t₁₉, X₃: 1 {O(1)}
t₂₀, X₀: 6⋅X₁ {O(n)}
t₂₀, X₁: X₁ {O(n)}
t₂₀, X₂: 6⋅X₁+1 {O(n)}
t₂₀, X₃: 2 {O(1)}
t₂₁, X₀: 6⋅X₁ {O(n)}
t₂₁, X₁: X₁ {O(n)}
t₂₁, X₂: 6⋅X₁+1 {O(n)}
t₂₁, X₃: 3 {O(1)}
t₂₂, X₀: 6⋅X₁ {O(n)}
t₂₂, X₁: X₁ {O(n)}
t₂₂, X₂: 6⋅X₁+1 {O(n)}
t₂₂, X₃: 2 {O(1)}
t₂₅, X₀: 6⋅X₁ {O(n)}
t₂₅, X₁: X₁ {O(n)}
t₂₅, X₂: 6⋅X₁+1 {O(n)}
t₂₅, X₃: 2 {O(1)}
t₂₆, X₀: 6⋅X₁ {O(n)}
t₂₆, X₁: X₁ {O(n)}
t₂₆, X₂: 6⋅X₁+1 {O(n)}
t₂₆, X₃: 3 {O(1)}
t₂₉, X₀: 6⋅X₁ {O(n)}
t₂₉, X₁: X₁ {O(n)}
t₂₉, X₂: 6⋅X₁+1 {O(n)}
t₂₉, X₃: 3 {O(1)}
t₃₁, X₀: 36⋅X₁ {O(n)}
t₃₁, X₁: 7⋅X₁ {O(n)}
t₃₁, X₂: 3⋅X₂+72⋅X₁+12 {O(n)}
t₃₁, X₃: 3⋅X₃+18 {O(n)}