unknown Initial ITS Start location: [1] Program variables: c x y z 0: [1] -> [2] : x'=nondet, T, cost: 1 1: [2] -> [3] : y'=nondet1, T, cost: 1 2: [3] -> [4] : z'=nondet2, T, cost: 1 3: [4] -> [5] : c'=0, T, cost: 1 4: [5] -> [6] : (-y+x > 0 /\ -z+x > 0), cost: 1 9: [5] -> [10] : (-y+x <= 0 \/ -z+x <= 0), cost: 1 5: [6] -> [7] : y'=1+y, T, cost: 1 6: [7] -> [8] : z'=1+z, T, cost: 1 7: [8] -> [9] : c'=1+c, T, cost: 1 8: [9] -> [5] : T, cost: 1 Chained Linear Paths Start location: [1] Program variables: c x y z 12: [1] -> [5] : c'=0, x'=nondet, y'=nondet1, z'=nondet2, T, cost: 1 9: [5] -> [10] : (-y+x <= 0 \/ -z+x <= 0), cost: 1 16: [5] -> [5] : c'=1+c, y'=1+y, z'=1+z, (-y+x > 0 /\ -z+x > 0), cost: 1 Eliminating location [2] by chaining: Applied chaining First rule: [1] -> [2] : x'=nondet, T, cost: 1 Second rule: [2] -> [3] : y'=nondet1, T, cost: 1 New rule: [1] -> [3] : x'=nondet, y'=nondet1, T, cost: 1 Applied deletion Removed the following rules: 0 1 Eliminating location [3] by chaining: Applied chaining First rule: [1] -> [3] : x'=nondet, y'=nondet1, T, cost: 1 Second rule: [3] -> [4] : z'=nondet2, T, cost: 1 New rule: [1] -> [4] : x'=nondet, y'=nondet1, z'=nondet2, T, cost: 1 Applied deletion Removed the following rules: 2 10 Eliminating location [4] by chaining: Applied chaining First rule: [1] -> [4] : x'=nondet, y'=nondet1, z'=nondet2, T, cost: 1 Second rule: [4] -> [5] : c'=0, T, cost: 1 New rule: [1] -> [5] : c'=0, x'=nondet, y'=nondet1, z'=nondet2, T, cost: 1 Applied deletion Removed the following rules: 3 11 Eliminating location [6] by chaining: Applied chaining First rule: [5] -> [6] : (-y+x > 0 /\ -z+x > 0), cost: 1 Second rule: [6] -> [7] : y'=1+y, T, cost: 1 New rule: [5] -> [7] : y'=1+y, (-y+x > 0 /\ -z+x > 0), cost: 1 Applied deletion Removed the following rules: 4 5 Eliminating location [7] by chaining: Applied chaining First rule: [5] -> [7] : y'=1+y, (-y+x > 0 /\ -z+x > 0), cost: 1 Second rule: [7] -> [8] : z'=1+z, T, cost: 1 New rule: [5] -> [8] : y'=1+y, z'=1+z, (-y+x > 0 /\ -z+x > 0), cost: 1 Applied deletion Removed the following rules: 6 13 Eliminating location [8] by chaining: Applied chaining First rule: [5] -> [8] : y'=1+y, z'=1+z, (-y+x > 0 /\ -z+x > 0), cost: 1 Second rule: [8] -> [9] : c'=1+c, T, cost: 1 New rule: [5] -> [9] : c'=1+c, y'=1+y, z'=1+z, (-y+x > 0 /\ -z+x > 0), cost: 1 Applied deletion Removed the following rules: 7 14 Eliminating location [9] by chaining: Applied chaining First rule: [5] -> [9] : c'=1+c, y'=1+y, z'=1+z, (-y+x > 0 /\ -z+x > 0), cost: 1 Second rule: [9] -> [5] : T, cost: 1 New rule: [5] -> [5] : c'=1+c, y'=1+y, z'=1+z, (-y+x > 0 /\ -z+x > 0), cost: 1 Applied deletion Removed the following rules: 8 15 Step with 12 Trace 12[T] Blocked [{}, {}] Step with 9 Trace 12[T], 9[(-y+x <= 0)] Blocked [{}, {}, {}] Backtrack Trace 12[T] Blocked [{}, {9[-y+x <= 0]}] Step with 9 Trace 12[T], 9[(-z+x <= 0)] Blocked [{}, {9[-y+x <= 0]}, {}] Backtrack Trace 12[T] Blocked [{}, {9[(-y+x <= 0 /\ -z+x <= 0)]}] Step with 16 Trace 12[T], 16[(-y+x > 0 /\ -z+x > 0)] Blocked [{}, {9[T]}, {}] Accelerate Start location: [1] Program variables: c x y z 12: [1] -> [5] : c'=0, x'=nondet, y'=nondet1, z'=nondet2, T, cost: 1 9: [5] -> [10] : (-y+x <= 0 \/ -z+x <= 0), cost: 1 16: [5] -> [5] : c'=1+c, y'=1+y, z'=1+z, (-y+x > 0 /\ -z+x > 0), cost: 1 17: [5] -> [5] : c'=n+c, y'=n+y, z'=z+n, (1-n-y+x > 0 /\ -1+n >= 0 /\ 1-z-n+x > 0), cost: 1 Loop Acceleration Original rule: [5] -> [5] : c'=1+c, y'=1+y, z'=1+z, (-y+x > 0 /\ -z+x > 0), cost: 1 New rule: [5] -> [5] : c'=n+c, y'=n+y, z'=z+n, (1-n-y+x > 0 /\ -1+n >= 0 /\ 1-z-n+x > 0), cost: 1 -y+x > 0 [0]: montonic decrease yields 1-n-y+x > 0 -y+x > 0 [1]: eventual increase yields (1 <= 0 /\ -y+x > 0) -z+x > 0 [0]: montonic decrease yields 1-z-n+x > 0 -z+x > 0 [1]: eventual increase yields (1 <= 0 /\ -z+x > 0) Replacement map: {-y+x > 0 -> 1-n-y+x > 0, -z+x > 0 -> 1-z-n+x > 0} Trace 12[T], 17[(1-n-y+x > 0 /\ -1+n >= 0 /\ 1-z-n+x > 0)] Blocked [{}, {9[T]}, {16[T], 17[T]}] Step with 9 Trace 12[T], 17[(1-n-y+x > 0 /\ -1+n >= 0 /\ 1-z-n+x > 0)], 9[(-y+x <= 0)] Blocked [{}, {9[T]}, {16[T], 17[T]}, {}] Backtrack Trace 12[T], 17[(1-n-y+x > 0 /\ -1+n >= 0 /\ 1-z-n+x > 0)] Blocked [{}, {9[T]}, {9[-y+x <= 0], 16[T], 17[T]}] Step with 9 Trace 12[T], 17[(1-n-y+x > 0 /\ -1+n >= 0 /\ 1-z-n+x > 0)], 9[(-z+x <= 0)] Blocked [{}, {9[T]}, {9[-y+x <= 0], 16[T], 17[T]}, {}] Backtrack Trace 12[T], 17[(1-n-y+x > 0 /\ -1+n >= 0 /\ 1-z-n+x > 0)] Blocked [{}, {9[T]}, {9[(-y+x <= 0 /\ -z+x <= 0)], 16[T], 17[T]}] Backtrack Trace 12[T] Blocked [{}, {9[T], 17[T]}] Step with 16 Trace 12[T], 16[(-y+x > 0 /\ -z+x > 0)] Blocked [{}, {9[T], 17[T]}, {}] Covered Trace 12[T] Blocked [{}, {9[T], 16[T], 17[T]}] Backtrack Trace Blocked [{12[T]}] Accept unknown Build SHA: a05f16bf13df659c382799650051f91bf6828c7b