Initial Problem

Start: evalrealshellsortstart
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars: F
Locations: evalrealshellsortbb1in, evalrealshellsortbb2in, evalrealshellsortbb3in, evalrealshellsortbb4in, evalrealshellsortbb5in, evalrealshellsortbb6in, evalrealshellsortbb7in, evalrealshellsortbb8in, evalrealshellsortentryin, evalrealshellsortreturnin, evalrealshellsortstart, evalrealshellsortstop
Transitions:
t₈: evalrealshellsortbb1in(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortbb3in(X₀, X₁, X₂, F, X₂)
t₁₃: evalrealshellsortbb2in(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortbb3in(X₀, X₁, X₂, X₃, X₄-X₁)
t₁₀: evalrealshellsortbb3in(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortbb4in(X₀, X₁, X₂, X₃, X₄) :|: X₁ ≤ X₄
t₉: evalrealshellsortbb3in(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortbb5in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₄ ≤ X₁
t₁₁: evalrealshellsortbb4in(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortbb2in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₃ ≤ F
t₁₂: evalrealshellsortbb4in(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortbb5in(X₀, X₁, X₂, X₃, X₄) :|: F ≤ X₃
t₁₄: evalrealshellsortbb5in(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortbb6in(X₀, X₁, 1+X₂, X₃, X₄)
t₆: evalrealshellsortbb6in(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortbb1in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₂ ≤ X₀
t₇: evalrealshellsortbb6in(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortbb7in(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ X₂
t₁₅: evalrealshellsortbb7in(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortbb8in(X₀, 0, X₂, X₃, X₄) :|: 0 ≤ X₁ ∧ X₁ ≤ 0
t₁₆: evalrealshellsortbb7in(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortbb8in(X₀, F, X₂, X₃, X₄) :|: X₁ ≤ 1+2⋅F ∧ 1 ≤ X₁ ∧ 0 ≤ F ∧ 2⋅F ≤ X₁
t₁₇: evalrealshellsortbb7in(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortbb8in(X₀, F, X₂, X₃, X₄) :|: 2⋅F ≤ 1+X₁ ∧ 1+X₁ ≤ 0 ∧ X₁ ≤ 2⋅F ∧ F ≤ 0
t₄: evalrealshellsortbb8in(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortbb6in(X₀, X₁, 0, X₃, X₄) :|: 1 ≤ X₁
t₅: evalrealshellsortbb8in(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortreturnin(X₀, X₁, X₂, X₃, X₄) :|: X₁ ≤ 0
t₁: evalrealshellsortentryin(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortbb8in(X₀, 0, X₂, X₃, X₄) :|: 0 ≤ X₀ ∧ X₀ ≤ 0
t₂: evalrealshellsortentryin(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortbb8in(X₀, F, X₂, X₃, X₄) :|: X₀ ≤ 1+2⋅F ∧ 1 ≤ X₀ ∧ 0 ≤ F ∧ 2⋅F ≤ X₀
t₃: evalrealshellsortentryin(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortbb8in(X₀, F, X₂, X₃, X₄) :|: 2⋅F ≤ 1+X₀ ∧ 1+X₀ ≤ 0 ∧ X₀ ≤ 2⋅F ∧ F ≤ 0
t₁₈: evalrealshellsortreturnin(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortstop(X₀, X₁, X₂, X₃, X₄)
t₀: evalrealshellsortstart(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortentryin(X₀, X₁, X₂, X₃, X₄)

Preprocessing

Found invariant X₄ ≤ X₂ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location evalrealshellsortbb5in

Found invariant 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ X₀ ≤ X₂ ∧ 1 ≤ X₁ for location evalrealshellsortbb7in

Found invariant 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁ for location evalrealshellsortbb6in

Found invariant X₄ ≤ X₂ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location evalrealshellsortbb3in

Found invariant X₄ ≤ X₂ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 2 ≤ X₀ for location evalrealshellsortbb4in

Found invariant 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location evalrealshellsortbb1in

Found invariant X₁ ≤ 0 for location evalrealshellsortreturnin

Found invariant X₄ ≤ X₂ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 2 ≤ X₀ for location evalrealshellsortbb2in

Found invariant X₁ ≤ 0 for location evalrealshellsortstop

Cut unsatisfiable transition [t₁₅: evalrealshellsortbb7in→evalrealshellsortbb8in; t₁₇: evalrealshellsortbb7in→evalrealshellsortbb8in]

Problem after Preprocessing

Start: evalrealshellsortstart
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars: F
Locations: evalrealshellsortbb1in, evalrealshellsortbb2in, evalrealshellsortbb3in, evalrealshellsortbb4in, evalrealshellsortbb5in, evalrealshellsortbb6in, evalrealshellsortbb7in, evalrealshellsortbb8in, evalrealshellsortentryin, evalrealshellsortreturnin, evalrealshellsortstart, evalrealshellsortstop
Transitions:
t₈: evalrealshellsortbb1in(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortbb3in(X₀, X₁, X₂, F, X₂) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₁ ∧ 0 ≤ X₂
t₁₃: evalrealshellsortbb2in(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortbb3in(X₀, X₁, X₂, X₃, X₄-X₁) :|: 1+X₁ ≤ X₀ ∧ 1+X₂ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₂+X₄ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₄ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₄ ∧ X₄ ≤ X₂
t₁₀: evalrealshellsortbb3in(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortbb4in(X₀, X₁, X₂, X₃, X₄) :|: X₁ ≤ X₄ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀+X₄ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ X₄ ≤ X₂
t₉: evalrealshellsortbb3in(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortbb5in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₄ ≤ X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀+X₄ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ X₄ ≤ X₂
t₁₁: evalrealshellsortbb4in(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortbb2in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₃ ≤ F ∧ 1+X₁ ≤ X₀ ∧ 1+X₂ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₂+X₄ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₄ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₄ ∧ X₄ ≤ X₂
t₁₂: evalrealshellsortbb4in(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortbb5in(X₀, X₁, X₂, X₃, X₄) :|: F ≤ X₃ ∧ 1+X₁ ≤ X₀ ∧ 1+X₂ ≤ X₀ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₂+X₄ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₀+X₄ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₄ ∧ X₄ ≤ X₂
t₁₄: evalrealshellsortbb5in(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortbb6in(X₀, X₁, 1+X₂, X₃, X₄) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₀+X₄ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₁ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂+X₄ ∧ X₄ ≤ X₂
t₆: evalrealshellsortbb6in(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortbb1in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₂ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 0 ≤ X₂
t₇: evalrealshellsortbb6in(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortbb7in(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ 0 ≤ X₂
t₁₆: evalrealshellsortbb7in(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortbb8in(X₀, F, X₂, X₃, X₄) :|: X₁ ≤ 1+2⋅F ∧ 1 ≤ X₁ ∧ 0 ≤ F ∧ 2⋅F ≤ X₁ ∧ 1 ≤ X₁+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₂
t₄: evalrealshellsortbb8in(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortbb6in(X₀, X₁, 0, X₃, X₄) :|: 1 ≤ X₁
t₅: evalrealshellsortbb8in(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortreturnin(X₀, X₁, X₂, X₃, X₄) :|: X₁ ≤ 0
t₁: evalrealshellsortentryin(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortbb8in(X₀, 0, X₂, X₃, X₄) :|: 0 ≤ X₀ ∧ X₀ ≤ 0
t₂: evalrealshellsortentryin(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortbb8in(X₀, F, X₂, X₃, X₄) :|: X₀ ≤ 1+2⋅F ∧ 1 ≤ X₀ ∧ 0 ≤ F ∧ 2⋅F ≤ X₀
t₃: evalrealshellsortentryin(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortbb8in(X₀, F, X₂, X₃, X₄) :|: 2⋅F ≤ 1+X₀ ∧ 1+X₀ ≤ 0 ∧ X₀ ≤ 2⋅F ∧ F ≤ 0
t₁₈: evalrealshellsortreturnin(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortstop(X₀, X₁, X₂, X₃, X₄) :|: X₁ ≤ 0
t₀: evalrealshellsortstart(X₀, X₁, X₂, X₃, X₄) → evalrealshellsortentryin(X₀, X₁, X₂, X₃, X₄)

Found invariant 1+X₄ ≤ X₂ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location evalrealshellsortbb6in_v2

Found invariant 1+X₄ ≤ X₂ ∧ 2+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 2 ≤ X₀ for location evalrealshellsortbb1in_v2

Found invariant X₄ ≤ X₂ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 2 ≤ X₀ for location evalrealshellsortbb5in_v3

Found invariant 1+X₄ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ 2+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 2 ≤ X₀ for location evalrealshellsortbb5in_v4

Found invariant X₂ ≤ 0 ∧ 1+X₂ ≤ X₁ ∧ X₀+X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 0 for location evalrealshellsortbb6in_v4

Found invariant X₂ ≤ 0 ∧ X₂ ≤ X₁ ∧ X₀+X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁ ∧ X₀ ≤ X₁ ∧ X₀ ≤ 0 for location evalrealshellsortbb8in_v2

Found invariant X₄ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 3 ≤ X₁+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 2 ≤ X₀ for location evalrealshellsortbb5in_v2

Found invariant 1+X₄ ≤ X₂ ∧ 2+X₄ ≤ X₀ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 2 ≤ X₀ for location evalrealshellsortbb3in_v3

Found invariant X₁ ≤ 0 for location evalrealshellsortreturnin

Found invariant X₄ ≤ 0 ∧ X₄ ≤ X₂ ∧ X₂+X₄ ≤ 0 ∧ 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₂ ≤ 0 ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location evalrealshellsortbb5in_v1

Found invariant 1+X₄ ≤ X₂ ∧ 2+X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 4 ≤ X₀+X₄ ∧ 1+X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 5 ≤ X₀+X₂ ∧ 2+X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 3 ≤ X₀ for location evalrealshellsortbb5in_v5

Found invariant X₂ ≤ 0 ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location evalrealshellsortbb1in_v1

Found invariant 1+X₄ ≤ X₂ ∧ 2+X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 4 ≤ X₀+X₄ ∧ 1+X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 5 ≤ X₀+X₂ ∧ 2+X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 3 ≤ X₀ for location evalrealshellsortbb2in_v2

Found invariant 1+X₄ ≤ X₂ ∧ 2+X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 3 ≤ X₂+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 4 ≤ X₀+X₄ ∧ 1+X₂ ≤ X₀ ∧ 2 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 5 ≤ X₀+X₂ ∧ 2+X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 3 ≤ X₀ for location evalrealshellsortbb4in_v2

Found invariant 1+X₄ ≤ X₂ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 0 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location evalrealshellsortbb8in_v1

Found invariant X₁ ≤ 0 for location evalrealshellsortstop

Found invariant X₄ ≤ 0 ∧ X₄ ≤ X₂ ∧ X₂+X₄ ≤ 0 ∧ 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₂ ≤ 0 ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location evalrealshellsortbb3in_v1

Found invariant 1+X₄ ≤ X₂ ∧ 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location evalrealshellsortbb7in_v2

Found invariant X₂ ≤ 0 ∧ 1+X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₁ for location evalrealshellsortbb6in_v1

Found invariant 1+X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 0 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₂ ≤ 0 ∧ 1+X₂ ≤ X₁ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location evalrealshellsortbb6in_v3

Found invariant X₂ ≤ 0 ∧ 1+X₂ ≤ X₁ ∧ X₀+X₂ ≤ 0 ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 0 for location evalrealshellsortbb7in_v1

Found invariant X₄ ≤ X₂ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 2 ≤ X₀ for location evalrealshellsortbb3in_v2

Found invariant X₄ ≤ X₂ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 2 ≤ X₀ for location evalrealshellsortbb2in_v1

Found invariant X₄ ≤ X₂ ∧ 1+X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₂+X₄ ∧ X₂ ≤ X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 3 ≤ X₀+X₄ ∧ 1+X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 2 ≤ X₀ for location evalrealshellsortbb4in_v1

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₄: inf {Infinity}
t₅: 1 {O(1)}
t₆: inf {Infinity}
t₇: inf {Infinity}
t₈: inf {Infinity}
t₉: inf {Infinity}
t₁₀: inf {Infinity}
t₁₁: inf {Infinity}
t₁₂: inf {Infinity}
t₁₃: inf {Infinity}
t₁₄: inf {Infinity}
t₁₆: inf {Infinity}
t₁₈: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₄: inf {Infinity}
t₅: 1 {O(1)}
t₆: inf {Infinity}
t₇: inf {Infinity}
t₈: inf {Infinity}
t₉: inf {Infinity}
t₁₀: inf {Infinity}
t₁₁: inf {Infinity}
t₁₂: inf {Infinity}
t₁₃: inf {Infinity}
t₁₄: inf {Infinity}
t₁₆: inf {Infinity}
t₁₈: 1 {O(1)}

Sizebounds

t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}
t₀, X₃: X₃ {O(n)}
t₀, X₄: X₄ {O(n)}
t₁, X₀: 0 {O(1)}
t₁, X₁: 0 {O(1)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₁, X₄: X₄ {O(n)}
t₂, X₀: X₀ {O(n)}
t₂, X₂: X₂ {O(n)}
t₂, X₃: X₃ {O(n)}
t₂, X₄: X₄ {O(n)}
t₃, X₀: X₀ {O(n)}
t₃, X₂: X₂ {O(n)}
t₃, X₃: X₃ {O(n)}
t₃, X₄: X₄ {O(n)}
t₄, X₀: 2⋅X₀ {O(n)}
t₄, X₂: 0 {O(1)}
t₅, X₀: 4⋅X₀ {O(n)}
t₆, X₀: 2⋅X₀ {O(n)}
t₇, X₀: 2⋅X₀ {O(n)}
t₈, X₀: 2⋅X₀ {O(n)}
t₉, X₀: 2⋅X₀ {O(n)}
t₁₀, X₀: 2⋅X₀ {O(n)}
t₁₁, X₀: 2⋅X₀ {O(n)}
t₁₂, X₀: 2⋅X₀ {O(n)}
t₁₃, X₀: 2⋅X₀ {O(n)}
t₁₄, X₀: 2⋅X₀ {O(n)}
t₁₆, X₀: 2⋅X₀ {O(n)}
t₁₈, X₀: 4⋅X₀ {O(n)}