Initial Problem

Start: f0
Program_Vars: X₀, X₁
Temp_Vars: C
Locations: f0, f1
Transitions:
t₀: f0(X₀, X₁) → f1(C, 1)
t₁: f1(X₀, X₁) → f1(X₀-10, X₁-1) :|: 1 ≤ X₁ ∧ 101 ≤ X₀
t₂: f1(X₀, X₁) → f1(11+X₀, 1+X₁) :|: X₀ ≤ 100 ∧ 1 ≤ X₁

Preprocessing

Found invariant 0 ≤ X₁ for location f1

Problem after Preprocessing

Start: f0
Program_Vars: X₀, X₁
Temp_Vars: C
Locations: f0, f1
Transitions:
t₀: f0(X₀, X₁) → f1(C, 1)
t₁: f1(X₀, X₁) → f1(X₀-10, X₁-1) :|: 1 ≤ X₁ ∧ 101 ≤ X₀ ∧ 0 ≤ X₁
t₂: f1(X₀, X₁) → f1(11+X₀, 1+X₁) :|: X₀ ≤ 100 ∧ 1 ≤ X₁ ∧ 0 ≤ X₁

Found invariant X₁ ≤ 0 ∧ 91+X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 91 ≤ X₀+X₁ ∧ 91 ≤ X₀ for location f1_v2

Found invariant 2 ≤ X₁ ∧ 104 ≤ X₀+X₁ ∧ X₀ ≤ 109+X₁ ∧ X₀ ≤ 111 ∧ 102 ≤ X₀ for location f1_v3

Found invariant X₁ ≤ 1 ∧ 1 ≤ X₁ for location f1

Found invariant 2 ≤ X₁ ∧ X₀ ≤ 109+X₁ ∧ X₀ ≤ 111 for location f1_v1

Found invariant 0 ≤ X₁ ∧ 91 ≤ X₀+X₁ ∧ X₀ ≤ 91+X₁ ∧ X₀ ≤ 91 ∧ 91 ≤ X₀ for location f1_v5

Found invariant 1 ≤ X₁ ∧ 92 ≤ X₀+X₁ ∧ X₀ ≤ 100+X₁ ∧ X₀ ≤ 101 ∧ 91 ≤ X₀ for location f1_v4

Cut unsatisfiable transition [t₂₀: f1_v2→f1_v3; t₂₁: f1_v2→f1_v2; t₂₆: f1_v5→f1_v5]

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₀: 1 {O(1)}
t₁: inf {Infinity}
t₂: inf {Infinity}

Costbounds

Overall costbound: inf {Infinity}
t₀: 1 {O(1)}
t₁: inf {Infinity}
t₂: inf {Infinity}

Sizebounds

t₀, X₁: 1 {O(1)}