Initial Problem
Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars: nondef.0
Locations: l0, l1, l2, l3, l4, l5, l6, l7, l8, l9
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄) → l3(X₀, X₁, X₂, X₃, X₄)
t₁₃: l2(X₀, X₁, X₂, X₃, X₄) → l5(X₀, X₁, X₂, X₃, X₄) :|: X₁ ≤ 0 ∧ 0 ≤ X₁
t₁₁: l2(X₀, X₁, X₂, X₃, X₄) → l8(X₀, X₁, X₂, X₃, X₄) :|: X₁ < 0
t₁₂: l2(X₀, X₁, X₂, X₃, X₄) → l8(X₀, X₁, X₂, X₃, X₄) :|: 0 < X₁
t₂: l3(X₀, X₁, X₂, X₃, X₄) → l5(X₀, X₁, X₂, X₃, X₄) :|: X₂ < 0
t₃: l3(X₀, X₁, X₂, X₃, X₄) → l5(X₀, X₁, X₂, X₃, X₄) :|: X₃ ≤ X₂
t₁: l3(X₀, X₁, X₂, X₃, X₄) → l9(X₀, X₁, X₂, X₃, X₄) :|: 0 ≤ X₂ ∧ X₂ < X₃
t₇: l4(X₀, X₁, X₂, X₃, X₄) → l5(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ X₂ ∧ X₂ ≤ X₀
t₅: l4(X₀, X₁, X₂, X₃, X₄) → l6(X₀, X₁, X₂, X₃, X₄) :|: X₀ < X₂
t₆: l4(X₀, X₁, X₂, X₃, X₄) → l6(X₀, X₁, X₂, X₃, X₄) :|: X₂ < X₀
t₁₆: l5(X₀, X₁, X₂, X₃, X₄) → l1(X₀, X₁, X₂, X₃, X₄)
t₈: l6(X₀, X₁, X₂, X₃, X₄) → l7(X₀, X₁, X₂, X₃, X₄)
t₁₀: l7(X₀, X₁, X₂, X₃, X₄) → l2(X₀, nondef.0, X₂, X₃, X₄)
t₁₄: l8(X₀, X₁, X₂, X₃, X₄) → l4(X₀+1, X₁, X₂, X₃, X₄) :|: X₀ ≤ X₃
t₁₅: l8(X₀, X₁, X₂, X₃, X₄) → l4(0, X₁, X₂, X₃, X₄) :|: X₃ < X₀
t₄: l9(X₀, X₁, X₂, X₃, X₄) → l4(X₂+1, X₁, X₂, X₃, X₄)
Preprocessing
Eliminate variables {X₄} that do not contribute to the problem
Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ for location l2
Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ for location l6
Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ for location l7
Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ for location l8
Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ for location l4
Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ for location l9
Problem after Preprocessing
Start: l0
Program_Vars: X₀, X₁, X₂, X₃
Temp_Vars: nondef.0
Locations: l0, l1, l2, l3, l4, l5, l6, l7, l8, l9
Transitions:
t₃₄: l0(X₀, X₁, X₂, X₃) → l3(X₀, X₁, X₂, X₃)
t₃₅: l2(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₃) :|: X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂
t₃₆: l2(X₀, X₁, X₂, X₃) → l8(X₀, X₁, X₂, X₃) :|: X₁ < 0 ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂
t₃₇: l2(X₀, X₁, X₂, X₃) → l8(X₀, X₁, X₂, X₃) :|: 0 < X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂
t₃₈: l3(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₃) :|: X₂ < 0
t₃₉: l3(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₃) :|: X₃ ≤ X₂
t₄₀: l3(X₀, X₁, X₂, X₃) → l9(X₀, X₁, X₂, X₃) :|: 0 ≤ X₂ ∧ X₂ < X₃
t₄₁: l4(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₃) :|: X₀ ≤ X₂ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂
t₄₂: l4(X₀, X₁, X₂, X₃) → l6(X₀, X₁, X₂, X₃) :|: X₀ < X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂
t₄₃: l4(X₀, X₁, X₂, X₃) → l6(X₀, X₁, X₂, X₃) :|: X₂ < X₀ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂
t₄₄: l5(X₀, X₁, X₂, X₃) → l1(X₀, X₁, X₂, X₃)
t₄₅: l6(X₀, X₁, X₂, X₃) → l7(X₀, X₁, X₂, X₃) :|: 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂
t₄₆: l7(X₀, X₁, X₂, X₃) → l2(X₀, nondef.0, X₂, X₃) :|: 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂
t₄₇: l8(X₀, X₁, X₂, X₃) → l4(X₀+1, X₁, X₂, X₃) :|: X₀ ≤ X₃ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂
t₄₈: l8(X₀, X₁, X₂, X₃) → l4(0, X₁, X₂, X₃) :|: X₃ < X₀ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂
t₄₉: l9(X₀, X₁, X₂, X₃) → l4(X₂+1, X₁, X₂, X₃) :|: 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂
Chain transitions t₄₆: l7→l2 and t₃₇: l2→l8 to t₂₇₆: l7→l8
Chain transitions t₄₆: l7→l2 and t₃₆: l2→l8 to t₂₇₇: l7→l8
Chain transitions t₄₆: l7→l2 and t₃₅: l2→l5 to t₂₇₈: l7→l5
Chain transitions t₄₉: l9→l4 and t₄₃: l4→l6 to t₂₇₉: l9→l6
Chain transitions t₄₈: l8→l4 and t₄₃: l4→l6 to t₂₈₀: l8→l6
Chain transitions t₄₈: l8→l4 and t₄₂: l4→l6 to t₂₈₁: l8→l6
Chain transitions t₄₉: l9→l4 and t₄₂: l4→l6 to t₂₈₂: l9→l6
Chain transitions t₄₇: l8→l4 and t₄₂: l4→l6 to t₂₈₃: l8→l6
Chain transitions t₄₇: l8→l4 and t₄₃: l4→l6 to t₂₈₄: l8→l6
Chain transitions t₄₇: l8→l4 and t₄₁: l4→l5 to t₂₈₅: l8→l5
Chain transitions t₄₈: l8→l4 and t₄₁: l4→l5 to t₂₈₆: l8→l5
Chain transitions t₄₉: l9→l4 and t₄₁: l4→l5 to t₂₈₇: l9→l5
Chain transitions t₂₈₂: l9→l6 and t₄₅: l6→l7 to t₂₈₈: l9→l7
Chain transitions t₂₇₉: l9→l6 and t₄₅: l6→l7 to t₂₈₉: l9→l7
Chain transitions t₂₈₄: l8→l6 and t₄₅: l6→l7 to t₂₉₀: l8→l7
Chain transitions t₂₈₃: l8→l6 and t₄₅: l6→l7 to t₂₉₁: l8→l7
Chain transitions t₂₈₁: l8→l6 and t₄₅: l6→l7 to t₂₉₂: l8→l7
Chain transitions t₂₈₀: l8→l6 and t₄₅: l6→l7 to t₂₉₃: l8→l7
Chain transitions t₂₈₉: l9→l7 and t₂₇₇: l7→l8 to t₂₉₄: l9→l8
Chain transitions t₂₈₈: l9→l7 and t₂₇₇: l7→l8 to t₂₉₅: l9→l8
Chain transitions t₂₈₈: l9→l7 and t₂₇₆: l7→l8 to t₂₉₆: l9→l8
Chain transitions t₂₈₉: l9→l7 and t₂₇₆: l7→l8 to t₂₉₇: l9→l8
Chain transitions t₂₉₃: l8→l7 and t₂₇₆: l7→l8 to t₂₉₈: l8→l8
Chain transitions t₂₉₃: l8→l7 and t₂₇₇: l7→l8 to t₂₉₉: l8→l8
Chain transitions t₂₉₃: l8→l7 and t₂₇₈: l7→l5 to t₃₀₀: l8→l5
Chain transitions t₂₈₈: l9→l7 and t₂₇₈: l7→l5 to t₃₀₁: l9→l5
Chain transitions t₂₈₉: l9→l7 and t₂₇₈: l7→l5 to t₃₀₂: l9→l5
Chain transitions t₂₉₂: l8→l7 and t₂₇₈: l7→l5 to t₃₀₃: l8→l5
Chain transitions t₂₉₂: l8→l7 and t₂₇₆: l7→l8 to t₃₀₄: l8→l8
Chain transitions t₂₉₂: l8→l7 and t₂₇₇: l7→l8 to t₃₀₅: l8→l8
Chain transitions t₂₉₂: l8→l7 and t₄₆: l7→l2 to t₃₀₆: l8→l2
Chain transitions t₂₉₃: l8→l7 and t₄₆: l7→l2 to t₃₀₇: l8→l2
Chain transitions t₂₈₈: l9→l7 and t₄₆: l7→l2 to t₃₀₈: l9→l2
Chain transitions t₂₈₉: l9→l7 and t₄₆: l7→l2 to t₃₀₉: l9→l2
Chain transitions t₂₉₁: l8→l7 and t₄₆: l7→l2 to t₃₁₀: l8→l2
Chain transitions t₂₉₁: l8→l7 and t₂₇₈: l7→l5 to t₃₁₁: l8→l5
Chain transitions t₂₉₁: l8→l7 and t₂₇₆: l7→l8 to t₃₁₂: l8→l8
Chain transitions t₂₉₁: l8→l7 and t₂₇₇: l7→l8 to t₃₁₃: l8→l8
Chain transitions t₂₉₀: l8→l7 and t₄₆: l7→l2 to t₃₁₄: l8→l2
Chain transitions t₂₉₀: l8→l7 and t₂₇₈: l7→l5 to t₃₁₅: l8→l5
Chain transitions t₂₉₀: l8→l7 and t₂₇₆: l7→l8 to t₃₁₆: l8→l8
Chain transitions t₂₉₀: l8→l7 and t₂₇₇: l7→l8 to t₃₁₇: l8→l8
Analysing control-flow refined program
Cut unsatisfiable transition t₂₈₀: l8→l6
Cut unsatisfiable transition t₂₈₂: l9→l6
Cut unsatisfiable transition t₂₈₇: l9→l5
Cut unsatisfiable transition t₂₈₈: l9→l7
Cut unsatisfiable transition t₂₉₃: l8→l7
Cut unsatisfiable transition t₂₉₅: l9→l8
Cut unsatisfiable transition t₂₉₆: l9→l8
Cut unsatisfiable transition t₂₉₈: l8→l8
Cut unsatisfiable transition t₂₉₉: l8→l8
Cut unsatisfiable transition t₃₀₀: l8→l5
Cut unsatisfiable transition t₃₀₁: l9→l5
Cut unsatisfiable transition t₃₀₇: l8→l2
Cut unsatisfiable transition t₃₀₈: l9→l2
Eliminate variables {Temp_Int₁₁₇₂,Temp_Int₁₁₈₄,Temp_Int₁₁₈₈,Temp_Int₁₂₀₄,X₁} that do not contribute to the problem
Found invariant 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location l2
Found invariant 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location l6
Found invariant 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location l7
Found invariant 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location l8
Found invariant 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₀+X₁ ∧ 0 ≤ X₀ for location l4
Found invariant 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 0 ≤ X₁ for location l9
MPRF for transition t₅₃₀: l8(X₀, X₁, X₂) -{5}> l8(1+X₀, X₁, X₂) :|: X₀ ≤ X₂ ∧ X₁ < X₀+1 ∧ 0 < Temp_Int₁₂₁₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ of depth 1:
new bound:
2⋅X₁+4⋅X₂+2 {O(n)}
MPRF for transition t₅₃₁: l8(X₀, X₁, X₂) -{5}> l8(1+X₀, X₁, X₂) :|: X₀ ≤ X₂ ∧ X₁ < X₀+1 ∧ Temp_Int₁₂₁₆ < 0 ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ of depth 1:
new bound:
2⋅X₁+4⋅X₂+2 {O(n)}
knowledge_propagation leads to new time bound 4⋅X₁+8⋅X₂+4 {O(n)} for transition t₅₂₆: l8(X₀, X₁, X₂) -{5}> l8(0, X₁, X₂) :|: X₂ < X₀ ∧ 0 < X₁ ∧ 0 < Temp_Int₁₁₆₄ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀
knowledge_propagation leads to new time bound 4⋅X₁+8⋅X₂+4 {O(n)} for transition t₅₂₇: l8(X₀, X₁, X₂) -{5}> l8(0, X₁, X₂) :|: X₂ < X₀ ∧ 0 < X₁ ∧ Temp_Int₁₁₆₈ < 0 ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀
MPRF for transition t₅₂₈: l8(X₀, X₁, X₂) -{5}> l8(1+X₀, X₁, X₂) :|: X₀ ≤ X₂ ∧ 1+X₀ < X₁ ∧ 0 < Temp_Int₁₁₉₆ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ of depth 1:
new bound:
128⋅X₂⋅X₂+64⋅X₁⋅X₂+2⋅X₁+68⋅X₂+2 {O(n^2)}
MPRF for transition t₅₂₉: l8(X₀, X₁, X₂) -{5}> l8(1+X₀, X₁, X₂) :|: X₀ ≤ X₂ ∧ 1+X₀ < X₁ ∧ Temp_Int₁₂₀₀ < 0 ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 0 ≤ X₀ of depth 1:
new bound:
128⋅X₂⋅X₂+64⋅X₁⋅X₂+2⋅X₁+68⋅X₂+2 {O(n^2)}
Analysing control-flow refined program
Cut unsatisfiable transition t₄₁: l4→l5
Cut unsatisfiable transition t₉₅₀: n_l4___11→n_l6___9
Cut unsatisfiable transition t₉₉₄: n_l4___23→l5
Cut unreachable locations [n_l2___3; n_l6___9; n_l7___4; n_l8___1; n_l8___2] from the program graph
Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2+X₁ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1+X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1+X₁ ≤ 0 ∧ 3+X₁ ≤ X₀ ∧ 2 ≤ X₀ for location n_l8___19
Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀ for location n_l2___20
Found invariant 3 ≤ X₃ ∧ 5 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₀ for location n_l2___7
Found invariant 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location n_l2___14
Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location n_l4___17
Found invariant 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location n_l7___15
Found invariant 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3+X₁ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 2+X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1+X₁ ≤ 0 ∧ 1+X₁ ≤ X₀ ∧ 1+X₀+X₁ ≤ 0 ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location n_l8___13
Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀ for location n_l4___23
Found invariant 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location n_l6___16
Found invariant 3 ≤ X₃ ∧ 5 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₀ for location n_l6___10
Found invariant 3 ≤ X₃ ∧ 5 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location n_l8___5
Found invariant 3 ≤ X₃ ∧ 5 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4+X₁ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3+X₁ ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1+X₁ ≤ 0 ∧ 2+X₁ ≤ X₀ ∧ 1 ≤ X₀ for location n_l8___6
Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₀ for location n_l6___28
Found invariant 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ for location n_l8___12
Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀ for location n_l6___22
Found invariant 3 ≤ X₃ ∧ 5 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₀ for location n_l7___8
Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₀ for location n_l7___27
Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 2 ≤ X₀ for location n_l8___18
Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2+X₁ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 1+X₁ ≤ 0 ∧ 2+X₁ ≤ X₀ ∧ 1 ≤ X₀ for location n_l8___25
Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀ for location n_l7___21
Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₀ for location n_l2___26
Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₀ for location l4
Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ for location l9
Found invariant 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location n_l8___24
Found invariant 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1 ≤ X₀ for location n_l4___11
MPRF for transition t₉₄₁: n_l2___20(X₀, X₁, X₂, X₃) → n_l8___18(X₀, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ 0 < X₁ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀ of depth 1:
new bound:
2⋅X₂+2⋅X₃+10 {O(n)}
MPRF for transition t₉₄₂: n_l2___20(X₀, X₁, X₂, X₃) → n_l8___19(X₀, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ X₁ < 0 ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀ of depth 1:
new bound:
2⋅X₂+2⋅X₃+8 {O(n)}
MPRF for transition t₉₅₂: n_l4___23(X₀, X₁, X₂, X₃) → n_l6___22(X₀, X₁, X₂, X₃) :|: X₂ < X₀ ∧ 1+X₂ ≤ X₀ ∧ X₂ < X₀ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀ of depth 1:
new bound:
2⋅X₂+2⋅X₃+8 {O(n)}
MPRF for transition t₉₅₆: n_l6___22(X₀, X₁, X₂, X₃) → n_l7___21(X₀, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀ of depth 1:
new bound:
2⋅X₂+2⋅X₃+8 {O(n)}
MPRF for transition t₉₆₀: n_l7___21(X₀, X₁, X₂, X₃) → n_l2___20(X₀, NoDet0, Arg2_P, Arg3_P) :|: 1+X₂ ≤ X₀ ∧ X₀ ≤ 1+Arg3_P ∧ 1+Arg2_P ≤ Arg3_P ∧ 0 ≤ Arg2_P ∧ X₂ ≤ Arg2_P ∧ Arg2_P ≤ X₂ ∧ X₃ ≤ Arg3_P ∧ Arg3_P ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀ of depth 1:
new bound:
2⋅X₂+2⋅X₃+8 {O(n)}
MPRF for transition t₉₆₈: n_l8___18(X₀, X₁, X₂, X₃) → n_l4___23(X₀+1, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ 0 < X₁ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 2 ≤ X₀ of depth 1:
new bound:
2⋅X₂+2⋅X₃+6 {O(n)}
MPRF for transition t₉₇₀: n_l8___19(X₀, X₁, X₂, X₃) → n_l4___23(X₀+1, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ X₁ < 0 ∧ X₀ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2+X₁ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1+X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1+X₁ ≤ 0 ∧ 3+X₁ ≤ X₀ ∧ 2 ≤ X₀ of depth 1:
new bound:
2⋅X₂+2⋅X₃+6 {O(n)}
MPRF for transition t₉₄₇: n_l2___7(X₀, X₁, X₂, X₃) → n_l8___5(X₀, X₁, X₂, X₃) :|: X₀ < X₂ ∧ 0 < X₁ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 3 ≤ X₃ ∧ 5 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₀ of depth 1:
new bound:
8⋅X₂+4 {O(n)}
MPRF for transition t₉₄₈: n_l2___7(X₀, X₁, X₂, X₃) → n_l8___6(X₀, X₁, X₂, X₃) :|: X₀ < X₂ ∧ X₁ < 0 ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 3 ≤ X₃ ∧ 5 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₀ of depth 1:
new bound:
8⋅X₂+6 {O(n)}
MPRF for transition t₉₄₉: n_l4___11(X₀, X₁, X₂, X₃) → n_l6___10(X₀, X₁, X₂, X₃) :|: X₀ ≤ X₃ ∧ X₀ < X₂ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1 ≤ X₀ of depth 1:
new bound:
8⋅X₃+4 {O(n)}
MPRF for transition t₉₅₄: n_l6___10(X₀, X₁, X₂, X₃) → n_l7___8(X₀, X₁, X₂, X₃) :|: X₀ < X₂ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 3 ≤ X₃ ∧ 5 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₀ of depth 1:
new bound:
8⋅X₃+6 {O(n)}
MPRF for transition t₉₆₃: n_l7___8(X₀, X₁, X₂, X₃) → n_l2___7(X₀, NoDet0, Arg2_P, Arg3_P) :|: X₀ < X₂ ∧ X₀ ≤ 1+Arg3_P ∧ 1+Arg2_P ≤ Arg3_P ∧ 0 ≤ Arg2_P ∧ X₂ ≤ Arg2_P ∧ Arg2_P ≤ X₂ ∧ X₃ ≤ Arg3_P ∧ Arg3_P ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 3 ≤ X₃ ∧ 5 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₀ of depth 1:
new bound:
8⋅X₃+6 {O(n)}
MPRF for transition t₉₇₄: n_l8___5(X₀, X₁, X₂, X₃) → n_l4___11(X₀+1, X₁, X₂, X₃) :|: X₀ < X₂ ∧ 0 < X₁ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 3 ≤ X₃ ∧ 5 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ of depth 1:
new bound:
8⋅X₃+4 {O(n)}
MPRF for transition t₉₇₅: n_l8___6(X₀, X₁, X₂, X₃) → n_l4___11(X₀+1, X₁, X₂, X₃) :|: X₀ < X₂ ∧ X₁ < 0 ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 3 ≤ X₃ ∧ 5 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4+X₁ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3+X₁ ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1+X₁ ≤ 0 ∧ 2+X₁ ≤ X₀ ∧ 1 ≤ X₀ of depth 1:
new bound:
32⋅X₃+2 {O(n)}
CFR: Improvement to new bound with the following program:
new bound:
Infinite
cfr-program:
Start: l0
Program_Vars: X₀, X₁, X₂, X₃
Temp_Vars: Arg2_P, Arg3_P, NoDet0
Locations: l0, l1, l3, l4, l5, l9, n_l2___14, n_l2___20, n_l2___26, n_l2___7, n_l4___11, n_l4___17, n_l4___23, n_l6___10, n_l6___16, n_l6___22, n_l6___28, n_l7___15, n_l7___21, n_l7___27, n_l7___8, n_l8___12, n_l8___13, n_l8___18, n_l8___19, n_l8___24, n_l8___25, n_l8___5, n_l8___6
Transitions:
t₃₄: l0(X₀, X₁, X₂, X₃) → l3(X₀, X₁, X₂, X₃)
t₃₈: l3(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₃) :|: X₂ < 0
t₃₉: l3(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₃) :|: X₃ ≤ X₂
t₄₀: l3(X₀, X₁, X₂, X₃) → l9(X₀, X₁, X₂, X₃) :|: 0 ≤ X₂ ∧ X₂ < X₃
t₉₅₃: l4(X₀, X₁, X₂, X₃) → n_l6___28(X₀, X₁, X₂, X₃) :|: X₀ ≤ X₃ ∧ X₂ < X₀ ∧ X₀ ≤ 1+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1+X₂ ≤ X₀ ∧ X₂ < X₀ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₀
t₄₄: l5(X₀, X₁, X₂, X₃) → l1(X₀, X₁, X₂, X₃)
t₄₉: l9(X₀, X₁, X₂, X₃) → l4(X₂+1, X₁, X₂, X₃) :|: 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂
t₉₉₅: n_l2___14(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₃) :|: X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₉₃₉: n_l2___14(X₀, X₁, X₂, X₃) → n_l8___12(X₀, X₁, X₂, X₃) :|: 0 < X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ ∧ 0 < X₁ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₉₄₀: n_l2___14(X₀, X₁, X₂, X₃) → n_l8___13(X₀, X₁, X₂, X₃) :|: 0 < X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ ∧ X₁ < 0 ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₉₉₆: n_l2___20(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₃) :|: X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀
t₉₄₁: n_l2___20(X₀, X₁, X₂, X₃) → n_l8___18(X₀, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ 0 < X₁ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀
t₉₄₂: n_l2___20(X₀, X₁, X₂, X₃) → n_l8___19(X₀, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ X₁ < 0 ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀
t₉₉₇: n_l2___26(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₃) :|: X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₀
t₉₄₃: n_l2___26(X₀, X₁, X₂, X₃) → n_l8___24(X₀, X₁, X₂, X₃) :|: X₀ ≤ X₂+1 ∧ 1+X₂ ≤ X₀ ∧ 0 < X₁ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₀
t₉₄₄: n_l2___26(X₀, X₁, X₂, X₃) → n_l8___25(X₀, X₁, X₂, X₃) :|: X₀ ≤ X₂+1 ∧ 1+X₂ ≤ X₀ ∧ X₁ < 0 ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₀
t₉₉₉: n_l2___7(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₃) :|: X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 3 ≤ X₃ ∧ 5 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₀
t₉₄₇: n_l2___7(X₀, X₁, X₂, X₃) → n_l8___5(X₀, X₁, X₂, X₃) :|: X₀ < X₂ ∧ 0 < X₁ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 3 ≤ X₃ ∧ 5 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₀
t₉₄₈: n_l2___7(X₀, X₁, X₂, X₃) → n_l8___6(X₀, X₁, X₂, X₃) :|: X₀ < X₂ ∧ X₁ < 0 ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 3 ≤ X₃ ∧ 5 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₀
t₉₉₂: n_l4___11(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₃) :|: X₀ ≤ X₂ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1 ≤ X₀
t₉₄₉: n_l4___11(X₀, X₁, X₂, X₃) → n_l6___10(X₀, X₁, X₂, X₃) :|: X₀ ≤ X₃ ∧ X₀ < X₂ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1 ≤ X₀
t₉₉₃: n_l4___17(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₃) :|: X₀ ≤ X₂ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₉₅₁: n_l4___17(X₀, X₁, X₂, X₃) → n_l6___16(X₀, X₁, X₂, X₃) :|: X₀ ≤ X₃ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ < X₂ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₉₅₂: n_l4___23(X₀, X₁, X₂, X₃) → n_l6___22(X₀, X₁, X₂, X₃) :|: X₂ < X₀ ∧ 1+X₂ ≤ X₀ ∧ X₂ < X₀ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀
t₉₅₄: n_l6___10(X₀, X₁, X₂, X₃) → n_l7___8(X₀, X₁, X₂, X₃) :|: X₀ < X₂ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 3 ≤ X₃ ∧ 5 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₀
t₉₅₅: n_l6___16(X₀, X₁, X₂, X₃) → n_l7___15(X₀, X₁, X₂, X₃) :|: 0 < X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₉₅₆: n_l6___22(X₀, X₁, X₂, X₃) → n_l7___21(X₀, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀
t₉₅₇: n_l6___28(X₀, X₁, X₂, X₃) → n_l7___27(X₀, X₁, X₂, X₃) :|: X₀ ≤ X₂+1 ∧ 1+X₂ ≤ X₀ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₀
t₉₅₉: n_l7___15(X₀, X₁, X₂, X₃) → n_l2___14(X₀, NoDet0, Arg2_P, Arg3_P) :|: 0 < X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 1+Arg3_P ∧ 1+Arg2_P ≤ Arg3_P ∧ 0 ≤ Arg2_P ∧ X₂ ≤ Arg2_P ∧ Arg2_P ≤ X₂ ∧ X₃ ≤ Arg3_P ∧ Arg3_P ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₉₆₀: n_l7___21(X₀, X₁, X₂, X₃) → n_l2___20(X₀, NoDet0, Arg2_P, Arg3_P) :|: 1+X₂ ≤ X₀ ∧ X₀ ≤ 1+Arg3_P ∧ 1+Arg2_P ≤ Arg3_P ∧ 0 ≤ Arg2_P ∧ X₂ ≤ Arg2_P ∧ Arg2_P ≤ X₂ ∧ X₃ ≤ Arg3_P ∧ Arg3_P ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀
t₉₆₁: n_l7___27(X₀, X₁, X₂, X₃) → n_l2___26(X₀, NoDet0, Arg2_P, Arg3_P) :|: X₀ ≤ X₂+1 ∧ 1+X₂ ≤ X₀ ∧ X₀ ≤ 1+Arg3_P ∧ 1+Arg2_P ≤ Arg3_P ∧ 0 ≤ Arg2_P ∧ X₂ ≤ Arg2_P ∧ Arg2_P ≤ X₂ ∧ X₃ ≤ Arg3_P ∧ Arg3_P ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₀
t₉₆₃: n_l7___8(X₀, X₁, X₂, X₃) → n_l2___7(X₀, NoDet0, Arg2_P, Arg3_P) :|: X₀ < X₂ ∧ X₀ ≤ 1+Arg3_P ∧ 1+Arg2_P ≤ Arg3_P ∧ 0 ≤ Arg2_P ∧ X₂ ≤ Arg2_P ∧ Arg2_P ≤ X₂ ∧ X₃ ≤ Arg3_P ∧ Arg3_P ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 3 ≤ X₃ ∧ 5 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₀
t₉₆₅: n_l8___12(X₀, X₁, X₂, X₃) → n_l4___11(X₀+1, X₁, X₂, X₃) :|: 0 < X₂ ∧ 0 < X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₉₆₆: n_l8___13(X₀, X₁, X₂, X₃) → n_l4___11(X₀+1, X₁, X₂, X₃) :|: X₁ < 0 ∧ 0 < X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3+X₁ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 2+X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1+X₁ ≤ 0 ∧ 1+X₁ ≤ X₀ ∧ 1+X₀+X₁ ≤ 0 ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₉₆₇: n_l8___18(X₀, X₁, X₂, X₃) → n_l4___17(0, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ 0 < X₁ ∧ X₃ < X₀ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 2 ≤ X₀
t₉₆₈: n_l8___18(X₀, X₁, X₂, X₃) → n_l4___23(X₀+1, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ 0 < X₁ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 2 ≤ X₀
t₉₆₉: n_l8___19(X₀, X₁, X₂, X₃) → n_l4___17(0, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ X₁ < 0 ∧ X₃ < X₀ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2+X₁ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1+X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1+X₁ ≤ 0 ∧ 3+X₁ ≤ X₀ ∧ 2 ≤ X₀
t₉₇₀: n_l8___19(X₀, X₁, X₂, X₃) → n_l4___23(X₀+1, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ X₁ < 0 ∧ X₀ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2+X₁ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1+X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1+X₁ ≤ 0 ∧ 3+X₁ ≤ X₀ ∧ 2 ≤ X₀
t₉₇₂: n_l8___24(X₀, X₁, X₂, X₃) → n_l4___23(X₀+1, X₁, X₂, X₃) :|: 0 < X₁ ∧ X₀ ≤ X₂+1 ∧ 1+X₂ ≤ X₀ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀
t₉₇₃: n_l8___25(X₀, X₁, X₂, X₃) → n_l4___23(X₀+1, X₁, X₂, X₃) :|: X₁ < 0 ∧ X₀ ≤ X₂+1 ∧ 1+X₂ ≤ X₀ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2+X₁ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 1+X₁ ≤ 0 ∧ 2+X₁ ≤ X₀ ∧ 1 ≤ X₀
t₉₇₄: n_l8___5(X₀, X₁, X₂, X₃) → n_l4___11(X₀+1, X₁, X₂, X₃) :|: X₀ < X₂ ∧ 0 < X₁ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 3 ≤ X₃ ∧ 5 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀
t₉₇₅: n_l8___6(X₀, X₁, X₂, X₃) → n_l4___11(X₀+1, X₁, X₂, X₃) :|: X₀ < X₂ ∧ X₁ < 0 ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 3 ≤ X₃ ∧ 5 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4+X₁ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3+X₁ ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1+X₁ ≤ 0 ∧ 2+X₁ ≤ X₀ ∧ 1 ≤ X₀
CFR: Improvement to new bound with the following program:
new bound:
30⋅X₂+78⋅X₃+86 {O(n)}
cfr-program:
Start: l0
Program_Vars: X₀, X₁, X₂, X₃
Temp_Vars: Arg2_P, Arg3_P, NoDet0
Locations: l0, l1, l3, l4, l5, l9, n_l2___14, n_l2___20, n_l2___26, n_l2___7, n_l4___11, n_l4___17, n_l4___23, n_l6___10, n_l6___16, n_l6___22, n_l6___28, n_l7___15, n_l7___21, n_l7___27, n_l7___8, n_l8___12, n_l8___13, n_l8___18, n_l8___19, n_l8___24, n_l8___25, n_l8___5, n_l8___6
Transitions:
t₃₄: l0(X₀, X₁, X₂, X₃) → l3(X₀, X₁, X₂, X₃)
t₃₈: l3(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₃) :|: X₂ < 0
t₃₉: l3(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₃) :|: X₃ ≤ X₂
t₄₀: l3(X₀, X₁, X₂, X₃) → l9(X₀, X₁, X₂, X₃) :|: 0 ≤ X₂ ∧ X₂ < X₃
t₉₅₃: l4(X₀, X₁, X₂, X₃) → n_l6___28(X₀, X₁, X₂, X₃) :|: X₀ ≤ X₃ ∧ X₂ < X₀ ∧ X₀ ≤ 1+X₂ ∧ 1+X₂ ≤ X₀ ∧ 1+X₂ ≤ X₀ ∧ X₂ < X₀ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₀
t₄₄: l5(X₀, X₁, X₂, X₃) → l1(X₀, X₁, X₂, X₃)
t₄₉: l9(X₀, X₁, X₂, X₃) → l4(X₂+1, X₁, X₂, X₃) :|: 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂
t₉₉₅: n_l2___14(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₃) :|: X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₉₃₉: n_l2___14(X₀, X₁, X₂, X₃) → n_l8___12(X₀, X₁, X₂, X₃) :|: 0 < X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ ∧ 0 < X₁ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₉₄₀: n_l2___14(X₀, X₁, X₂, X₃) → n_l8___13(X₀, X₁, X₂, X₃) :|: 0 < X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ ∧ X₁ < 0 ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₉₉₆: n_l2___20(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₃) :|: X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀
t₉₄₁: n_l2___20(X₀, X₁, X₂, X₃) → n_l8___18(X₀, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ 0 < X₁ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀
t₉₄₂: n_l2___20(X₀, X₁, X₂, X₃) → n_l8___19(X₀, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ X₁ < 0 ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀
t₉₉₇: n_l2___26(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₃) :|: X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₀
t₉₄₃: n_l2___26(X₀, X₁, X₂, X₃) → n_l8___24(X₀, X₁, X₂, X₃) :|: X₀ ≤ X₂+1 ∧ 1+X₂ ≤ X₀ ∧ 0 < X₁ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₀
t₉₄₄: n_l2___26(X₀, X₁, X₂, X₃) → n_l8___25(X₀, X₁, X₂, X₃) :|: X₀ ≤ X₂+1 ∧ 1+X₂ ≤ X₀ ∧ X₁ < 0 ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₀
t₉₉₉: n_l2___7(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₃) :|: X₁ ≤ 0 ∧ 0 ≤ X₁ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 3 ≤ X₃ ∧ 5 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₀
t₉₄₇: n_l2___7(X₀, X₁, X₂, X₃) → n_l8___5(X₀, X₁, X₂, X₃) :|: X₀ < X₂ ∧ 0 < X₁ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 3 ≤ X₃ ∧ 5 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₀
t₉₄₈: n_l2___7(X₀, X₁, X₂, X₃) → n_l8___6(X₀, X₁, X₂, X₃) :|: X₀ < X₂ ∧ X₁ < 0 ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 3 ≤ X₃ ∧ 5 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₀
t₉₉₂: n_l4___11(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₃) :|: X₀ ≤ X₂ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1 ≤ X₀
t₉₄₉: n_l4___11(X₀, X₁, X₂, X₃) → n_l6___10(X₀, X₁, X₂, X₃) :|: X₀ ≤ X₃ ∧ X₀ < X₂ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1 ≤ X₀
t₉₉₃: n_l4___17(X₀, X₁, X₂, X₃) → l5(X₀, X₁, X₂, X₃) :|: X₀ ≤ X₂ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₉₅₁: n_l4___17(X₀, X₁, X₂, X₃) → n_l6___16(X₀, X₁, X₂, X₃) :|: X₀ ≤ X₃ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ < X₂ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ 1+X₀ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₉₅₂: n_l4___23(X₀, X₁, X₂, X₃) → n_l6___22(X₀, X₁, X₂, X₃) :|: X₂ < X₀ ∧ 1+X₂ ≤ X₀ ∧ X₂ < X₀ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀
t₉₅₄: n_l6___10(X₀, X₁, X₂, X₃) → n_l7___8(X₀, X₁, X₂, X₃) :|: X₀ < X₂ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 3 ≤ X₃ ∧ 5 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₀
t₉₅₅: n_l6___16(X₀, X₁, X₂, X₃) → n_l7___15(X₀, X₁, X₂, X₃) :|: 0 < X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₉₅₆: n_l6___22(X₀, X₁, X₂, X₃) → n_l7___21(X₀, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀
t₉₅₇: n_l6___28(X₀, X₁, X₂, X₃) → n_l7___27(X₀, X₁, X₂, X₃) :|: X₀ ≤ X₂+1 ∧ 1+X₂ ≤ X₀ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₀
t₉₅₉: n_l7___15(X₀, X₁, X₂, X₃) → n_l2___14(X₀, NoDet0, Arg2_P, Arg3_P) :|: 0 < X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ 1+Arg3_P ∧ 1+Arg2_P ≤ Arg3_P ∧ 0 ≤ Arg2_P ∧ X₂ ≤ Arg2_P ∧ Arg2_P ≤ X₂ ∧ X₃ ≤ Arg3_P ∧ Arg3_P ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₉₆₀: n_l7___21(X₀, X₁, X₂, X₃) → n_l2___20(X₀, NoDet0, Arg2_P, Arg3_P) :|: 1+X₂ ≤ X₀ ∧ X₀ ≤ 1+Arg3_P ∧ 1+Arg2_P ≤ Arg3_P ∧ 0 ≤ Arg2_P ∧ X₂ ≤ Arg2_P ∧ Arg2_P ≤ X₂ ∧ X₃ ≤ Arg3_P ∧ Arg3_P ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀
t₉₆₁: n_l7___27(X₀, X₁, X₂, X₃) → n_l2___26(X₀, NoDet0, Arg2_P, Arg3_P) :|: X₀ ≤ X₂+1 ∧ 1+X₂ ≤ X₀ ∧ X₀ ≤ 1+Arg3_P ∧ 1+Arg2_P ≤ Arg3_P ∧ 0 ≤ Arg2_P ∧ X₂ ≤ Arg2_P ∧ Arg2_P ≤ X₂ ∧ X₃ ≤ Arg3_P ∧ Arg3_P ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₀
t₉₆₃: n_l7___8(X₀, X₁, X₂, X₃) → n_l2___7(X₀, NoDet0, Arg2_P, Arg3_P) :|: X₀ < X₂ ∧ X₀ ≤ 1+Arg3_P ∧ 1+Arg2_P ≤ Arg3_P ∧ 0 ≤ Arg2_P ∧ X₂ ≤ Arg2_P ∧ Arg2_P ≤ X₂ ∧ X₃ ≤ Arg3_P ∧ Arg3_P ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 3 ≤ X₃ ∧ 5 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₀
t₉₆₅: n_l8___12(X₀, X₁, X₂, X₃) → n_l4___11(X₀+1, X₁, X₂, X₃) :|: 0 < X₂ ∧ 0 < X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1+X₀ ≤ X₁ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₉₆₆: n_l8___13(X₀, X₁, X₂, X₃) → n_l4___11(X₀+1, X₁, X₂, X₃) :|: X₁ < 0 ∧ 0 < X₂ ∧ X₀ ≤ 0 ∧ 0 ≤ X₀ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 2 ≤ X₃ ∧ 3 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 3+X₁ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 1 ≤ X₂ ∧ 2+X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1+X₁ ≤ 0 ∧ 1+X₁ ≤ X₀ ∧ 1+X₀+X₁ ≤ 0 ∧ X₀ ≤ 0 ∧ 0 ≤ X₀
t₉₆₇: n_l8___18(X₀, X₁, X₂, X₃) → n_l4___17(0, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ 0 < X₁ ∧ X₃ < X₀ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 2 ≤ X₀
t₉₆₈: n_l8___18(X₀, X₁, X₂, X₃) → n_l4___23(X₀+1, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ 0 < X₁ ∧ X₀ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 2 ≤ X₀
t₉₆₉: n_l8___19(X₀, X₁, X₂, X₃) → n_l4___17(0, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ X₁ < 0 ∧ X₃ < X₀ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2+X₁ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1+X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1+X₁ ≤ 0 ∧ 3+X₁ ≤ X₀ ∧ 2 ≤ X₀
t₉₇₀: n_l8___19(X₀, X₁, X₂, X₃) → n_l4___23(X₀+1, X₁, X₂, X₃) :|: 1+X₂ ≤ X₀ ∧ X₁ < 0 ∧ X₀ ≤ X₃ ∧ X₀ ≤ 1+X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2+X₁ ≤ X₃ ∧ 3 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 2+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1+X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1+X₁ ≤ 0 ∧ 3+X₁ ≤ X₀ ∧ 2 ≤ X₀
t₉₇₂: n_l8___24(X₀, X₁, X₂, X₃) → n_l4___23(X₀+1, X₁, X₂, X₃) :|: 0 < X₁ ∧ X₀ ≤ X₂+1 ∧ 1+X₂ ≤ X₀ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀
t₉₇₃: n_l8___25(X₀, X₁, X₂, X₃) → n_l4___23(X₀+1, X₁, X₂, X₃) :|: X₁ < 0 ∧ X₀ ≤ X₂+1 ∧ 1+X₂ ≤ X₀ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 2+X₁ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₀ ≤ 1+X₂ ∧ 1+X₁ ≤ 0 ∧ 2+X₁ ≤ X₀ ∧ 1 ≤ X₀
t₉₇₄: n_l8___5(X₀, X₁, X₂, X₃) → n_l4___11(X₀+1, X₁, X₂, X₃) :|: X₀ < X₂ ∧ 0 < X₁ ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 3 ≤ X₃ ∧ 5 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4 ≤ X₁+X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀
t₉₇₅: n_l8___6(X₀, X₁, X₂, X₃) → n_l4___11(X₀+1, X₁, X₂, X₃) :|: X₀ < X₂ ∧ X₁ < 0 ∧ X₀ ≤ X₃ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 1+X₂ ≤ X₃ ∧ 0 ≤ X₂ ∧ 3 ≤ X₃ ∧ 5 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 4+X₁ ≤ X₃ ∧ 4 ≤ X₀+X₃ ∧ 2+X₀ ≤ X₃ ∧ 2 ≤ X₂ ∧ 3+X₁ ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 1+X₀ ≤ X₂ ∧ 1+X₁ ≤ 0 ∧ 2+X₁ ≤ X₀ ∧ 1 ≤ X₀
All Bounds
Timebounds
Overall timebound:30⋅X₂+78⋅X₃+114 {O(n)}
t₃₄: 1 {O(1)}
t₃₈: 1 {O(1)}
t₃₉: 1 {O(1)}
t₄₀: 1 {O(1)}
t₄₄: 1 {O(1)}
t₄₉: 1 {O(1)}
t₉₃₉: 1 {O(1)}
t₉₄₀: 1 {O(1)}
t₉₄₁: 2⋅X₂+2⋅X₃+10 {O(n)}
t₉₄₂: 2⋅X₂+2⋅X₃+8 {O(n)}
t₉₄₃: 1 {O(1)}
t₉₄₄: 1 {O(1)}
t₉₄₇: 8⋅X₂+4 {O(n)}
t₉₄₈: 8⋅X₂+6 {O(n)}
t₉₄₉: 8⋅X₃+4 {O(n)}
t₉₅₁: 1 {O(1)}
t₉₅₂: 2⋅X₂+2⋅X₃+8 {O(n)}
t₉₅₃: 1 {O(1)}
t₉₅₄: 8⋅X₃+6 {O(n)}
t₉₅₅: 1 {O(1)}
t₉₅₆: 2⋅X₂+2⋅X₃+8 {O(n)}
t₉₅₇: 1 {O(1)}
t₉₅₉: 1 {O(1)}
t₉₆₀: 2⋅X₂+2⋅X₃+8 {O(n)}
t₉₆₁: 1 {O(1)}
t₉₆₃: 8⋅X₃+6 {O(n)}
t₉₆₅: 1 {O(1)}
t₉₆₆: 1 {O(1)}
t₉₆₇: 1 {O(1)}
t₉₆₈: 2⋅X₂+2⋅X₃+6 {O(n)}
t₉₆₉: 1 {O(1)}
t₉₇₀: 2⋅X₂+2⋅X₃+6 {O(n)}
t₉₇₂: 1 {O(1)}
t₉₇₃: 1 {O(1)}
t₉₇₄: 8⋅X₃+4 {O(n)}
t₉₇₅: 32⋅X₃+2 {O(n)}
t₉₉₂: 1 {O(1)}
t₉₉₃: 1 {O(1)}
t₉₉₅: 1 {O(1)}
t₉₉₆: 1 {O(1)}
t₉₉₇: 1 {O(1)}
t₉₉₉: 1 {O(1)}
Costbounds
Overall costbound: 30⋅X₂+78⋅X₃+114 {O(n)}
t₃₄: 1 {O(1)}
t₃₈: 1 {O(1)}
t₃₉: 1 {O(1)}
t₄₀: 1 {O(1)}
t₄₄: 1 {O(1)}
t₄₉: 1 {O(1)}
t₉₃₉: 1 {O(1)}
t₉₄₀: 1 {O(1)}
t₉₄₁: 2⋅X₂+2⋅X₃+10 {O(n)}
t₉₄₂: 2⋅X₂+2⋅X₃+8 {O(n)}
t₉₄₃: 1 {O(1)}
t₉₄₄: 1 {O(1)}
t₉₄₇: 8⋅X₂+4 {O(n)}
t₉₄₈: 8⋅X₂+6 {O(n)}
t₉₄₉: 8⋅X₃+4 {O(n)}
t₉₅₁: 1 {O(1)}
t₉₅₂: 2⋅X₂+2⋅X₃+8 {O(n)}
t₉₅₃: 1 {O(1)}
t₉₅₄: 8⋅X₃+6 {O(n)}
t₉₅₅: 1 {O(1)}
t₉₅₆: 2⋅X₂+2⋅X₃+8 {O(n)}
t₉₅₇: 1 {O(1)}
t₉₅₉: 1 {O(1)}
t₉₆₀: 2⋅X₂+2⋅X₃+8 {O(n)}
t₉₆₁: 1 {O(1)}
t₉₆₃: 8⋅X₃+6 {O(n)}
t₉₆₅: 1 {O(1)}
t₉₆₆: 1 {O(1)}
t₉₆₇: 1 {O(1)}
t₉₆₈: 2⋅X₂+2⋅X₃+6 {O(n)}
t₉₆₉: 1 {O(1)}
t₉₇₀: 2⋅X₂+2⋅X₃+6 {O(n)}
t₉₇₂: 1 {O(1)}
t₉₇₃: 1 {O(1)}
t₉₇₄: 8⋅X₃+4 {O(n)}
t₉₇₅: 32⋅X₃+2 {O(n)}
t₉₉₂: 1 {O(1)}
t₉₉₃: 1 {O(1)}
t₉₉₅: 1 {O(1)}
t₉₉₆: 1 {O(1)}
t₉₉₇: 1 {O(1)}
t₉₉₉: 1 {O(1)}
Sizebounds
t₃₄, X₀: X₀ {O(n)}
t₃₄, X₁: X₁ {O(n)}
t₃₄, X₂: X₂ {O(n)}
t₃₄, X₃: X₃ {O(n)}
t₃₈, X₀: X₀ {O(n)}
t₃₈, X₁: X₁ {O(n)}
t₃₈, X₂: X₂ {O(n)}
t₃₈, X₃: X₃ {O(n)}
t₃₉, X₀: X₀ {O(n)}
t₃₉, X₁: X₁ {O(n)}
t₃₉, X₂: X₂ {O(n)}
t₃₉, X₃: X₃ {O(n)}
t₄₀, X₀: X₀ {O(n)}
t₄₀, X₁: X₁ {O(n)}
t₄₀, X₂: X₂ {O(n)}
t₄₀, X₃: X₃ {O(n)}
t₄₄, X₀: 124⋅X₃+2⋅X₀+7⋅X₂+43 {O(n)}
t₄₄, X₂: 5⋅X₂ {O(n)}
t₄₄, X₃: 5⋅X₃ {O(n)}
t₄₉, X₀: X₂+1 {O(n)}
t₄₉, X₁: X₁ {O(n)}
t₄₉, X₂: X₂ {O(n)}
t₄₉, X₃: X₃ {O(n)}
t₉₃₉, X₀: 0 {O(1)}
t₉₃₉, X₂: 4⋅X₂ {O(n)}
t₉₃₉, X₃: 4⋅X₃ {O(n)}
t₉₄₀, X₀: 0 {O(1)}
t₉₄₀, X₂: 4⋅X₂ {O(n)}
t₉₄₀, X₃: 4⋅X₃ {O(n)}
t₉₄₁, X₀: 4⋅X₃+6⋅X₂+16 {O(n)}
t₉₄₁, X₂: 2⋅X₂ {O(n)}
t₉₄₁, X₃: 2⋅X₃ {O(n)}
t₉₄₂, X₀: 4⋅X₃+6⋅X₂+16 {O(n)}
t₉₄₂, X₂: 2⋅X₂ {O(n)}
t₉₄₂, X₃: 2⋅X₃ {O(n)}
t₉₄₃, X₀: X₂+1 {O(n)}
t₉₄₃, X₂: X₂ {O(n)}
t₉₄₃, X₃: X₃ {O(n)}
t₉₄₄, X₀: X₂+1 {O(n)}
t₉₄₄, X₂: X₂ {O(n)}
t₉₄₄, X₃: X₃ {O(n)}
t₉₄₇, X₀: 40⋅X₃+8 {O(n)}
t₉₄₇, X₂: 8⋅X₂ {O(n)}
t₉₄₇, X₃: 8⋅X₃ {O(n)}
t₉₄₈, X₀: 40⋅X₃+8 {O(n)}
t₉₄₈, X₂: 8⋅X₂ {O(n)}
t₉₄₈, X₃: 8⋅X₃ {O(n)}
t₉₄₉, X₀: 40⋅X₃+8 {O(n)}
t₉₄₉, X₂: 8⋅X₂ {O(n)}
t₉₄₉, X₃: 8⋅X₃ {O(n)}
t₉₅₁, X₀: 0 {O(1)}
t₉₅₁, X₂: 4⋅X₂ {O(n)}
t₉₅₁, X₃: 4⋅X₃ {O(n)}
t₉₅₂, X₀: 4⋅X₃+6⋅X₂+16 {O(n)}
t₉₅₂, X₂: 2⋅X₂ {O(n)}
t₉₅₂, X₃: 2⋅X₃ {O(n)}
t₉₅₃, X₀: X₂+1 {O(n)}
t₉₅₃, X₁: X₁ {O(n)}
t₉₅₃, X₂: X₂ {O(n)}
t₉₅₃, X₃: X₃ {O(n)}
t₉₅₄, X₀: 40⋅X₃+8 {O(n)}
t₉₅₄, X₂: 8⋅X₂ {O(n)}
t₉₅₄, X₃: 8⋅X₃ {O(n)}
t₉₅₅, X₀: 0 {O(1)}
t₉₅₅, X₂: 4⋅X₂ {O(n)}
t₉₅₅, X₃: 4⋅X₃ {O(n)}
t₉₅₆, X₀: 4⋅X₃+6⋅X₂+16 {O(n)}
t₉₅₆, X₂: 2⋅X₂ {O(n)}
t₉₅₆, X₃: 2⋅X₃ {O(n)}
t₉₅₇, X₀: X₂+1 {O(n)}
t₉₅₇, X₁: X₁ {O(n)}
t₉₅₇, X₂: X₂ {O(n)}
t₉₅₇, X₃: X₃ {O(n)}
t₉₅₉, X₀: 0 {O(1)}
t₉₅₉, X₂: 4⋅X₂ {O(n)}
t₉₅₉, X₃: 4⋅X₃ {O(n)}
t₉₆₀, X₀: 4⋅X₃+6⋅X₂+16 {O(n)}
t₉₆₀, X₂: 2⋅X₂ {O(n)}
t₉₆₀, X₃: 2⋅X₃ {O(n)}
t₉₆₁, X₀: X₂+1 {O(n)}
t₉₆₁, X₂: X₂ {O(n)}
t₉₆₁, X₃: X₃ {O(n)}
t₉₆₃, X₀: 40⋅X₃+8 {O(n)}
t₉₆₃, X₂: 8⋅X₂ {O(n)}
t₉₆₃, X₃: 8⋅X₃ {O(n)}
t₉₆₅, X₀: 1 {O(1)}
t₉₆₅, X₂: 4⋅X₂ {O(n)}
t₉₆₅, X₃: 4⋅X₃ {O(n)}
t₉₆₆, X₀: 1 {O(1)}
t₉₆₆, X₂: 4⋅X₂ {O(n)}
t₉₆₆, X₃: 4⋅X₃ {O(n)}
t₉₆₇, X₀: 0 {O(1)}
t₉₆₇, X₂: 2⋅X₂ {O(n)}
t₉₆₇, X₃: 2⋅X₃ {O(n)}
t₉₆₈, X₀: 4⋅X₃+6⋅X₂+16 {O(n)}
t₉₆₈, X₂: 2⋅X₂ {O(n)}
t₉₆₈, X₃: 2⋅X₃ {O(n)}
t₉₆₉, X₀: 0 {O(1)}
t₉₆₉, X₂: 2⋅X₂ {O(n)}
t₉₆₉, X₃: 2⋅X₃ {O(n)}
t₉₇₀, X₀: 4⋅X₃+6⋅X₂+16 {O(n)}
t₉₇₀, X₂: 2⋅X₂ {O(n)}
t₉₇₀, X₃: 2⋅X₃ {O(n)}
t₉₇₂, X₀: X₂+2 {O(n)}
t₉₇₂, X₂: X₂ {O(n)}
t₉₇₂, X₃: X₃ {O(n)}
t₉₇₃, X₀: X₂+2 {O(n)}
t₉₇₃, X₂: X₂ {O(n)}
t₉₇₃, X₃: X₃ {O(n)}
t₉₇₄, X₀: 40⋅X₃+8 {O(n)}
t₉₇₄, X₂: 8⋅X₂ {O(n)}
t₉₇₄, X₃: 8⋅X₃ {O(n)}
t₉₇₅, X₀: 40⋅X₃+8 {O(n)}
t₉₇₅, X₂: 8⋅X₂ {O(n)}
t₉₇₅, X₃: 8⋅X₃ {O(n)}
t₉₉₂, X₀: 80⋅X₃+18 {O(n)}
t₉₉₂, X₂: 24⋅X₂ {O(n)}
t₉₉₂, X₃: 24⋅X₃ {O(n)}
t₉₉₃, X₀: 0 {O(1)}
t₉₉₃, X₂: 0 {O(1)}
t₉₉₃, X₃: 4⋅X₃ {O(n)}
t₉₉₅, X₀: 0 {O(1)}
t₉₉₅, X₁: 0 {O(1)}
t₉₉₅, X₂: 4⋅X₂ {O(n)}
t₉₉₅, X₃: 4⋅X₃ {O(n)}
t₉₉₆, X₀: 4⋅X₃+6⋅X₂+16 {O(n)}
t₉₉₆, X₁: 0 {O(1)}
t₉₉₆, X₂: 2⋅X₂ {O(n)}
t₉₉₆, X₃: 2⋅X₃ {O(n)}
t₉₉₇, X₀: X₂+1 {O(n)}
t₉₉₇, X₁: 0 {O(1)}
t₉₉₇, X₂: X₂ {O(n)}
t₉₉₇, X₃: X₃ {O(n)}
t₉₉₉, X₀: 40⋅X₃+8 {O(n)}
t₉₉₉, X₁: 0 {O(1)}
t₉₉₉, X₂: 8⋅X₂ {O(n)}
t₉₉₉, X₃: 8⋅X₃ {O(n)}