NO Initial ITS Start location: l7 0: l0 -> l1 : DName^0'=DName^post0, Pdolen^0'=Pdolen^post0, PPBlockInits^0'=PPBlockInits^post0, i^0'=i^post0, Pdo^0'=Pdo^post0, status^0'=status^post0, IoCreateDevice^0'=IoCreateDevice^post0, conditional^0'=conditional^post0, PPBunlockInits^0'=PPBunlockInits^post0, num^0'=num^post0, (-1+conditional^0 <= 0 /\ i^0-i^post0 == 0 /\ -PPBunlockInits^post0+PPBunlockInits^0 == 0 /\ -num^post0+num^0 == 0 /\ DName^0-DName^post0 == 0 /\ -Pdo^post0+Pdo^0 == 0 /\ -IoCreateDevice^post0+IoCreateDevice^0 == 0 /\ PPBlockInits^0-PPBlockInits^post0 == 0 /\ Pdolen^0-Pdolen^post0 == 0 /\ -status^post0+status^0 == 0 /\ conditional^0-conditional^post0 == 0), cost: 1 1: l0 -> l2 : DName^0'=DName^post1, Pdolen^0'=Pdolen^post1, PPBlockInits^0'=PPBlockInits^post1, i^0'=i^post1, Pdo^0'=Pdo^post1, status^0'=status^post1, IoCreateDevice^0'=IoCreateDevice^post1, conditional^0'=conditional^post1, PPBunlockInits^0'=PPBunlockInits^post1, num^0'=num^post1, (-IoCreateDevice^post1+IoCreateDevice^0 == 0 /\ i^0-i^post1 == 0 /\ Pdo^0-Pdo^post1 == 0 /\ 2-conditional^0 <= 0 /\ -status^post1+status^0 == 0 /\ DName^0-DName^post1 == 0 /\ -PPBunlockInits^post1+PPBunlockInits^0 == 0 /\ -1+num^post1-num^0 == 0 /\ PPBlockInits^0-PPBlockInits^post1 == 0 /\ conditional^0-conditional^post1 == 0 /\ Pdolen^0-Pdolen^post1 == 0), cost: 1 4: l1 -> l4 : DName^0'=DName^post4, Pdolen^0'=Pdolen^post4, PPBlockInits^0'=PPBlockInits^post4, i^0'=i^post4, Pdo^0'=Pdo^post4, status^0'=status^post4, IoCreateDevice^0'=IoCreateDevice^post4, conditional^0'=conditional^post4, PPBunlockInits^0'=PPBunlockInits^post4, num^0'=num^post4, (Pdolen^0-Pdolen^post4 == 0 /\ Pdo^0-Pdo^post4 == 0 /\ -1+PPBunlockInits^post4 == 0 /\ DName^0-DName^post4 == 0 /\ -IoCreateDevice^post4+IoCreateDevice^0 == 0 /\ i^0-i^post4 == 0 /\ -status^post4+status^0 == 0 /\ num^post4 == 0 /\ -conditional^post4+conditional^0 == 0 /\ PPBlockInits^0-PPBlockInits^post4 == 0), cost: 1 7: l2 -> l1 : DName^0'=DName^post7, Pdolen^0'=Pdolen^post7, PPBlockInits^0'=PPBlockInits^post7, i^0'=i^post7, Pdo^0'=Pdo^post7, status^0'=status^post7, IoCreateDevice^0'=IoCreateDevice^post7, conditional^0'=conditional^post7, PPBunlockInits^0'=PPBunlockInits^post7, num^0'=num^post7, (status^post7 == 0 /\ Pdolen^0-Pdolen^post7 == 0 /\ -Pdo^post7+Pdo^0 == 0 /\ Pdolen^0-i^0 <= 0 /\ DName^0-DName^post7 == 0 /\ i^0-i^post7 == 0 /\ -num^post7+num^0 == 0 /\ -conditional^post7+conditional^0 == 0 /\ PPBlockInits^0-PPBlockInits^post7 == 0 /\ IoCreateDevice^0-IoCreateDevice^post7 == 0 /\ -PPBunlockInits^post7+PPBunlockInits^0 == 0), cost: 1 8: l2 -> l5 : DName^0'=DName^post8, Pdolen^0'=Pdolen^post8, PPBlockInits^0'=PPBlockInits^post8, i^0'=i^post8, Pdo^0'=Pdo^post8, status^0'=status^post8, IoCreateDevice^0'=IoCreateDevice^post8, conditional^0'=conditional^post8, PPBunlockInits^0'=PPBunlockInits^post8, num^0'=num^post8, (0 == 0 /\ -PPBunlockInits^post8+PPBunlockInits^0 == 0 /\ -1+PPBlockInits^post8 == 0 /\ 1-Pdolen^0+i^0 <= 0 /\ -IoCreateDevice^post8+IoCreateDevice^0 == 0 /\ -conditional^post8+conditional^0 == 0 /\ -num^post8+num^0 == 0 /\ Pdolen^0-Pdolen^post8 == 0 /\ status^post8 == 0 /\ Pdo^0-Pdo^post8 == 0 /\ -i^post8+i^0 == 0), cost: 1 2: l3 -> l2 : DName^0'=DName^post2, Pdolen^0'=Pdolen^post2, PPBlockInits^0'=PPBlockInits^post2, i^0'=i^post2, Pdo^0'=Pdo^post2, status^0'=status^post2, IoCreateDevice^0'=IoCreateDevice^post2, conditional^0'=conditional^post2, PPBunlockInits^0'=PPBunlockInits^post2, num^0'=num^post2, (IoCreateDevice^post2 == 0 /\ -PPBunlockInits^post2+PPBunlockInits^0 == 0 /\ -1+conditional^0 <= 0 /\ -1-i^0+i^post2 == 0 /\ conditional^0-conditional^post2 == 0 /\ PPBlockInits^0-PPBlockInits^post2 == 0 /\ -num^post2+num^0 == 0 /\ DName^0-DName^post2 == 0 /\ -Pdolen^post2+Pdolen^0 == 0 /\ -Pdo^post2+Pdo^0 == 0 /\ -1+status^post2 == 0), cost: 1 3: l3 -> l0 : DName^0'=DName^post3, Pdolen^0'=Pdolen^post3, PPBlockInits^0'=PPBlockInits^post3, i^0'=i^post3, Pdo^0'=Pdo^post3, status^0'=status^post3, IoCreateDevice^0'=IoCreateDevice^post3, conditional^0'=conditional^post3, PPBunlockInits^0'=PPBunlockInits^post3, num^0'=num^post3, (0 == 0 /\ IoCreateDevice^post3 == 0 /\ i^0-i^post3 == 0 /\ -status^post3+status^0 == 0 /\ 2-conditional^0 <= 0 /\ DName^0-DName^post3 == 0 /\ -num^post3+num^0 == 0 /\ Pdo^post3 == 0 /\ -PPBunlockInits^post3+PPBunlockInits^0 == 0 /\ PPBlockInits^0-PPBlockInits^post3 == 0 /\ Pdolen^0-Pdolen^post3 == 0), cost: 1 5: l5 -> l1 : DName^0'=DName^post5, Pdolen^0'=Pdolen^post5, PPBlockInits^0'=PPBlockInits^post5, i^0'=i^post5, Pdo^0'=Pdo^post5, status^0'=status^post5, IoCreateDevice^0'=IoCreateDevice^post5, conditional^0'=conditional^post5, PPBunlockInits^0'=PPBunlockInits^post5, num^0'=num^post5, (DName^0 <= 0 /\ status^0-status^post5 == 0 /\ DName^0-DName^post5 == 0 /\ -PPBunlockInits^post5+PPBunlockInits^0 == 0 /\ PPBlockInits^0-PPBlockInits^post5 == 0 /\ -IoCreateDevice^post5+IoCreateDevice^0 == 0 /\ Pdolen^0-Pdolen^post5 == 0 /\ -conditional^post5+conditional^0 == 0 /\ Pdo^0-Pdo^post5 == 0 /\ -i^post5+i^0 == 0 /\ num^0-num^post5 == 0), cost: 1 6: l5 -> l3 : DName^0'=DName^post6, Pdolen^0'=Pdolen^post6, PPBlockInits^0'=PPBlockInits^post6, i^0'=i^post6, Pdo^0'=Pdo^post6, status^0'=status^post6, IoCreateDevice^0'=IoCreateDevice^post6, conditional^0'=conditional^post6, PPBunlockInits^0'=PPBunlockInits^post6, num^0'=num^post6, (0 == 0 /\ -i^post6+i^0 == 0 /\ 1-DName^0 <= 0 /\ -num^post6+num^0 == 0 /\ -1+IoCreateDevice^post6 == 0 /\ status^0-status^post6 == 0 /\ DName^0-DName^post6 == 0 /\ -PPBunlockInits^post6+PPBunlockInits^0 == 0 /\ PPBlockInits^0-PPBlockInits^post6 == 0 /\ Pdolen^0-Pdolen^post6 == 0 /\ Pdo^0-Pdo^post6 == 0), cost: 1 9: l6 -> l2 : DName^0'=DName^post9, Pdolen^0'=Pdolen^post9, PPBlockInits^0'=PPBlockInits^post9, i^0'=i^post9, Pdo^0'=Pdo^post9, status^0'=status^post9, IoCreateDevice^0'=IoCreateDevice^post9, conditional^0'=conditional^post9, PPBunlockInits^0'=PPBunlockInits^post9, num^0'=num^post9, (0 == 0 /\ -num^post9+num^0 == 0 /\ PPBunlockInits^post9 == 0 /\ -conditional^post9+conditional^0 == 0 /\ -Pdo^post9+Pdo^0 == 0 /\ DName^0-DName^post9 == 0 /\ -1+PPBlockInits^post9 == 0 /\ IoCreateDevice^post9 == 0 /\ status^post9 == 0), cost: 1 10: l7 -> l6 : DName^0'=DName^post10, Pdolen^0'=Pdolen^post10, PPBlockInits^0'=PPBlockInits^post10, i^0'=i^post10, Pdo^0'=Pdo^post10, status^0'=status^post10, IoCreateDevice^0'=IoCreateDevice^post10, conditional^0'=conditional^post10, PPBunlockInits^0'=PPBunlockInits^post10, num^0'=num^post10, (-PPBunlockInits^post10+PPBunlockInits^0 == 0 /\ Pdolen^0-Pdolen^post10 == 0 /\ PPBlockInits^0-PPBlockInits^post10 == 0 /\ -Pdo^post10+Pdo^0 == 0 /\ DName^0-DName^post10 == 0 /\ i^0-i^post10 == 0 /\ -num^post10+num^0 == 0 /\ -conditional^post10+conditional^0 == 0 /\ -status^post10+status^0 == 0 /\ IoCreateDevice^0-IoCreateDevice^post10 == 0), cost: 1 Removed unreachable rules and leafs Start location: l7 1: l0 -> l2 : DName^0'=DName^post1, Pdolen^0'=Pdolen^post1, PPBlockInits^0'=PPBlockInits^post1, i^0'=i^post1, Pdo^0'=Pdo^post1, status^0'=status^post1, IoCreateDevice^0'=IoCreateDevice^post1, conditional^0'=conditional^post1, PPBunlockInits^0'=PPBunlockInits^post1, num^0'=num^post1, (-IoCreateDevice^post1+IoCreateDevice^0 == 0 /\ i^0-i^post1 == 0 /\ Pdo^0-Pdo^post1 == 0 /\ 2-conditional^0 <= 0 /\ -status^post1+status^0 == 0 /\ DName^0-DName^post1 == 0 /\ -PPBunlockInits^post1+PPBunlockInits^0 == 0 /\ -1+num^post1-num^0 == 0 /\ PPBlockInits^0-PPBlockInits^post1 == 0 /\ conditional^0-conditional^post1 == 0 /\ Pdolen^0-Pdolen^post1 == 0), cost: 1 8: l2 -> l5 : DName^0'=DName^post8, Pdolen^0'=Pdolen^post8, PPBlockInits^0'=PPBlockInits^post8, i^0'=i^post8, Pdo^0'=Pdo^post8, status^0'=status^post8, IoCreateDevice^0'=IoCreateDevice^post8, conditional^0'=conditional^post8, PPBunlockInits^0'=PPBunlockInits^post8, num^0'=num^post8, (0 == 0 /\ -PPBunlockInits^post8+PPBunlockInits^0 == 0 /\ -1+PPBlockInits^post8 == 0 /\ 1-Pdolen^0+i^0 <= 0 /\ -IoCreateDevice^post8+IoCreateDevice^0 == 0 /\ -conditional^post8+conditional^0 == 0 /\ -num^post8+num^0 == 0 /\ Pdolen^0-Pdolen^post8 == 0 /\ status^post8 == 0 /\ Pdo^0-Pdo^post8 == 0 /\ -i^post8+i^0 == 0), cost: 1 2: l3 -> l2 : DName^0'=DName^post2, Pdolen^0'=Pdolen^post2, PPBlockInits^0'=PPBlockInits^post2, i^0'=i^post2, Pdo^0'=Pdo^post2, status^0'=status^post2, IoCreateDevice^0'=IoCreateDevice^post2, conditional^0'=conditional^post2, PPBunlockInits^0'=PPBunlockInits^post2, num^0'=num^post2, (IoCreateDevice^post2 == 0 /\ -PPBunlockInits^post2+PPBunlockInits^0 == 0 /\ -1+conditional^0 <= 0 /\ -1-i^0+i^post2 == 0 /\ conditional^0-conditional^post2 == 0 /\ PPBlockInits^0-PPBlockInits^post2 == 0 /\ -num^post2+num^0 == 0 /\ DName^0-DName^post2 == 0 /\ -Pdolen^post2+Pdolen^0 == 0 /\ -Pdo^post2+Pdo^0 == 0 /\ -1+status^post2 == 0), cost: 1 3: l3 -> l0 : DName^0'=DName^post3, Pdolen^0'=Pdolen^post3, PPBlockInits^0'=PPBlockInits^post3, i^0'=i^post3, Pdo^0'=Pdo^post3, status^0'=status^post3, IoCreateDevice^0'=IoCreateDevice^post3, conditional^0'=conditional^post3, PPBunlockInits^0'=PPBunlockInits^post3, num^0'=num^post3, (0 == 0 /\ IoCreateDevice^post3 == 0 /\ i^0-i^post3 == 0 /\ -status^post3+status^0 == 0 /\ 2-conditional^0 <= 0 /\ DName^0-DName^post3 == 0 /\ -num^post3+num^0 == 0 /\ Pdo^post3 == 0 /\ -PPBunlockInits^post3+PPBunlockInits^0 == 0 /\ PPBlockInits^0-PPBlockInits^post3 == 0 /\ Pdolen^0-Pdolen^post3 == 0), cost: 1 6: l5 -> l3 : DName^0'=DName^post6, Pdolen^0'=Pdolen^post6, PPBlockInits^0'=PPBlockInits^post6, i^0'=i^post6, Pdo^0'=Pdo^post6, status^0'=status^post6, IoCreateDevice^0'=IoCreateDevice^post6, conditional^0'=conditional^post6, PPBunlockInits^0'=PPBunlockInits^post6, num^0'=num^post6, (0 == 0 /\ -i^post6+i^0 == 0 /\ 1-DName^0 <= 0 /\ -num^post6+num^0 == 0 /\ -1+IoCreateDevice^post6 == 0 /\ status^0-status^post6 == 0 /\ DName^0-DName^post6 == 0 /\ -PPBunlockInits^post6+PPBunlockInits^0 == 0 /\ PPBlockInits^0-PPBlockInits^post6 == 0 /\ Pdolen^0-Pdolen^post6 == 0 /\ Pdo^0-Pdo^post6 == 0), cost: 1 9: l6 -> l2 : DName^0'=DName^post9, Pdolen^0'=Pdolen^post9, PPBlockInits^0'=PPBlockInits^post9, i^0'=i^post9, Pdo^0'=Pdo^post9, status^0'=status^post9, IoCreateDevice^0'=IoCreateDevice^post9, conditional^0'=conditional^post9, PPBunlockInits^0'=PPBunlockInits^post9, num^0'=num^post9, (0 == 0 /\ -num^post9+num^0 == 0 /\ PPBunlockInits^post9 == 0 /\ -conditional^post9+conditional^0 == 0 /\ -Pdo^post9+Pdo^0 == 0 /\ DName^0-DName^post9 == 0 /\ -1+PPBlockInits^post9 == 0 /\ IoCreateDevice^post9 == 0 /\ status^post9 == 0), cost: 1 10: l7 -> l6 : DName^0'=DName^post10, Pdolen^0'=Pdolen^post10, PPBlockInits^0'=PPBlockInits^post10, i^0'=i^post10, Pdo^0'=Pdo^post10, status^0'=status^post10, IoCreateDevice^0'=IoCreateDevice^post10, conditional^0'=conditional^post10, PPBunlockInits^0'=PPBunlockInits^post10, num^0'=num^post10, (-PPBunlockInits^post10+PPBunlockInits^0 == 0 /\ Pdolen^0-Pdolen^post10 == 0 /\ PPBlockInits^0-PPBlockInits^post10 == 0 /\ -Pdo^post10+Pdo^0 == 0 /\ DName^0-DName^post10 == 0 /\ i^0-i^post10 == 0 /\ -num^post10+num^0 == 0 /\ -conditional^post10+conditional^0 == 0 /\ -status^post10+status^0 == 0 /\ IoCreateDevice^0-IoCreateDevice^post10 == 0), cost: 1 Applied preprocessing Original rule: l0 -> l2 : DName^0'=DName^post1, Pdolen^0'=Pdolen^post1, PPBlockInits^0'=PPBlockInits^post1, i^0'=i^post1, Pdo^0'=Pdo^post1, status^0'=status^post1, IoCreateDevice^0'=IoCreateDevice^post1, conditional^0'=conditional^post1, PPBunlockInits^0'=PPBunlockInits^post1, num^0'=num^post1, (-IoCreateDevice^post1+IoCreateDevice^0 == 0 /\ i^0-i^post1 == 0 /\ Pdo^0-Pdo^post1 == 0 /\ 2-conditional^0 <= 0 /\ -status^post1+status^0 == 0 /\ DName^0-DName^post1 == 0 /\ -PPBunlockInits^post1+PPBunlockInits^0 == 0 /\ -1+num^post1-num^0 == 0 /\ PPBlockInits^0-PPBlockInits^post1 == 0 /\ conditional^0-conditional^post1 == 0 /\ Pdolen^0-Pdolen^post1 == 0), cost: 1 New rule: l0 -> l2 : num^0'=1+num^0, -2+conditional^0 >= 0, cost: 1 Applied preprocessing Original rule: l3 -> l2 : DName^0'=DName^post2, Pdolen^0'=Pdolen^post2, PPBlockInits^0'=PPBlockInits^post2, i^0'=i^post2, Pdo^0'=Pdo^post2, status^0'=status^post2, IoCreateDevice^0'=IoCreateDevice^post2, conditional^0'=conditional^post2, PPBunlockInits^0'=PPBunlockInits^post2, num^0'=num^post2, (IoCreateDevice^post2 == 0 /\ -PPBunlockInits^post2+PPBunlockInits^0 == 0 /\ -1+conditional^0 <= 0 /\ -1-i^0+i^post2 == 0 /\ conditional^0-conditional^post2 == 0 /\ PPBlockInits^0-PPBlockInits^post2 == 0 /\ -num^post2+num^0 == 0 /\ DName^0-DName^post2 == 0 /\ -Pdolen^post2+Pdolen^0 == 0 /\ -Pdo^post2+Pdo^0 == 0 /\ -1+status^post2 == 0), cost: 1 New rule: l3 -> l2 : i^0'=1+i^0, status^0'=1, IoCreateDevice^0'=0, -1+conditional^0 <= 0, cost: 1 Applied preprocessing Original rule: l3 -> l0 : DName^0'=DName^post3, Pdolen^0'=Pdolen^post3, PPBlockInits^0'=PPBlockInits^post3, i^0'=i^post3, Pdo^0'=Pdo^post3, status^0'=status^post3, IoCreateDevice^0'=IoCreateDevice^post3, conditional^0'=conditional^post3, PPBunlockInits^0'=PPBunlockInits^post3, num^0'=num^post3, (0 == 0 /\ IoCreateDevice^post3 == 0 /\ i^0-i^post3 == 0 /\ -status^post3+status^0 == 0 /\ 2-conditional^0 <= 0 /\ DName^0-DName^post3 == 0 /\ -num^post3+num^0 == 0 /\ Pdo^post3 == 0 /\ -PPBunlockInits^post3+PPBunlockInits^0 == 0 /\ PPBlockInits^0-PPBlockInits^post3 == 0 /\ Pdolen^0-Pdolen^post3 == 0), cost: 1 New rule: l3 -> l0 : Pdo^0'=0, IoCreateDevice^0'=0, conditional^0'=conditional^post3, -2+conditional^0 >= 0, cost: 1 Applied preprocessing Original rule: l5 -> l3 : DName^0'=DName^post6, Pdolen^0'=Pdolen^post6, PPBlockInits^0'=PPBlockInits^post6, i^0'=i^post6, Pdo^0'=Pdo^post6, status^0'=status^post6, IoCreateDevice^0'=IoCreateDevice^post6, conditional^0'=conditional^post6, PPBunlockInits^0'=PPBunlockInits^post6, num^0'=num^post6, (0 == 0 /\ -i^post6+i^0 == 0 /\ 1-DName^0 <= 0 /\ -num^post6+num^0 == 0 /\ -1+IoCreateDevice^post6 == 0 /\ status^0-status^post6 == 0 /\ DName^0-DName^post6 == 0 /\ -PPBunlockInits^post6+PPBunlockInits^0 == 0 /\ PPBlockInits^0-PPBlockInits^post6 == 0 /\ Pdolen^0-Pdolen^post6 == 0 /\ Pdo^0-Pdo^post6 == 0), cost: 1 New rule: l5 -> l3 : IoCreateDevice^0'=1, conditional^0'=conditional^post6, -1+DName^0 >= 0, cost: 1 Applied preprocessing Original rule: l2 -> l5 : DName^0'=DName^post8, Pdolen^0'=Pdolen^post8, PPBlockInits^0'=PPBlockInits^post8, i^0'=i^post8, Pdo^0'=Pdo^post8, status^0'=status^post8, IoCreateDevice^0'=IoCreateDevice^post8, conditional^0'=conditional^post8, PPBunlockInits^0'=PPBunlockInits^post8, num^0'=num^post8, (0 == 0 /\ -PPBunlockInits^post8+PPBunlockInits^0 == 0 /\ -1+PPBlockInits^post8 == 0 /\ 1-Pdolen^0+i^0 <= 0 /\ -IoCreateDevice^post8+IoCreateDevice^0 == 0 /\ -conditional^post8+conditional^0 == 0 /\ -num^post8+num^0 == 0 /\ Pdolen^0-Pdolen^post8 == 0 /\ status^post8 == 0 /\ Pdo^0-Pdo^post8 == 0 /\ -i^post8+i^0 == 0), cost: 1 New rule: l2 -> l5 : DName^0'=DName^post8, PPBlockInits^0'=1, status^0'=0, 1-Pdolen^0+i^0 <= 0, cost: 1 Applied preprocessing Original rule: l6 -> l2 : DName^0'=DName^post9, Pdolen^0'=Pdolen^post9, PPBlockInits^0'=PPBlockInits^post9, i^0'=i^post9, Pdo^0'=Pdo^post9, status^0'=status^post9, IoCreateDevice^0'=IoCreateDevice^post9, conditional^0'=conditional^post9, PPBunlockInits^0'=PPBunlockInits^post9, num^0'=num^post9, (0 == 0 /\ -num^post9+num^0 == 0 /\ PPBunlockInits^post9 == 0 /\ -conditional^post9+conditional^0 == 0 /\ -Pdo^post9+Pdo^0 == 0 /\ DName^0-DName^post9 == 0 /\ -1+PPBlockInits^post9 == 0 /\ IoCreateDevice^post9 == 0 /\ status^post9 == 0), cost: 1 New rule: l6 -> l2 : Pdolen^0'=Pdolen^post9, PPBlockInits^0'=1, i^0'=i^post9, status^0'=0, IoCreateDevice^0'=0, PPBunlockInits^0'=0, 0 == 0, cost: 1 Applied preprocessing Original rule: l7 -> l6 : DName^0'=DName^post10, Pdolen^0'=Pdolen^post10, PPBlockInits^0'=PPBlockInits^post10, i^0'=i^post10, Pdo^0'=Pdo^post10, status^0'=status^post10, IoCreateDevice^0'=IoCreateDevice^post10, conditional^0'=conditional^post10, PPBunlockInits^0'=PPBunlockInits^post10, num^0'=num^post10, (-PPBunlockInits^post10+PPBunlockInits^0 == 0 /\ Pdolen^0-Pdolen^post10 == 0 /\ PPBlockInits^0-PPBlockInits^post10 == 0 /\ -Pdo^post10+Pdo^0 == 0 /\ DName^0-DName^post10 == 0 /\ i^0-i^post10 == 0 /\ -num^post10+num^0 == 0 /\ -conditional^post10+conditional^0 == 0 /\ -status^post10+status^0 == 0 /\ IoCreateDevice^0-IoCreateDevice^post10 == 0), cost: 1 New rule: l7 -> l6 : TRUE, cost: 1 Simplified rules Start location: l7 11: l0 -> l2 : num^0'=1+num^0, -2+conditional^0 >= 0, cost: 1 15: l2 -> l5 : DName^0'=DName^post8, PPBlockInits^0'=1, status^0'=0, 1-Pdolen^0+i^0 <= 0, cost: 1 12: l3 -> l2 : i^0'=1+i^0, status^0'=1, IoCreateDevice^0'=0, -1+conditional^0 <= 0, cost: 1 13: l3 -> l0 : Pdo^0'=0, IoCreateDevice^0'=0, conditional^0'=conditional^post3, -2+conditional^0 >= 0, cost: 1 14: l5 -> l3 : IoCreateDevice^0'=1, conditional^0'=conditional^post6, -1+DName^0 >= 0, cost: 1 16: l6 -> l2 : Pdolen^0'=Pdolen^post9, PPBlockInits^0'=1, i^0'=i^post9, status^0'=0, IoCreateDevice^0'=0, PPBunlockInits^0'=0, 0 == 0, cost: 1 17: l7 -> l6 : TRUE, cost: 1 Eliminating location l6 by chaining: Applied chaining First rule: l7 -> l6 : TRUE, cost: 1 Second rule: l6 -> l2 : Pdolen^0'=Pdolen^post9, PPBlockInits^0'=1, i^0'=i^post9, status^0'=0, IoCreateDevice^0'=0, PPBunlockInits^0'=0, 0 == 0, cost: 1 New rule: l7 -> l2 : Pdolen^0'=Pdolen^post9, PPBlockInits^0'=1, i^0'=i^post9, status^0'=0, IoCreateDevice^0'=0, PPBunlockInits^0'=0, 0 == 0, cost: 2 Applied deletion Removed the following rules: 16 17 Eliminating location l5 by chaining: Applied chaining First rule: l2 -> l5 : DName^0'=DName^post8, PPBlockInits^0'=1, status^0'=0, 1-Pdolen^0+i^0 <= 0, cost: 1 Second rule: l5 -> l3 : IoCreateDevice^0'=1, conditional^0'=conditional^post6, -1+DName^0 >= 0, cost: 1 New rule: l2 -> l3 : DName^0'=DName^post8, PPBlockInits^0'=1, status^0'=0, IoCreateDevice^0'=1, conditional^0'=conditional^post6, (1-Pdolen^0+i^0 <= 0 /\ -1+DName^post8 >= 0), cost: 2 Applied deletion Removed the following rules: 14 15 Eliminating location l0 by chaining: Applied chaining First rule: l3 -> l0 : Pdo^0'=0, IoCreateDevice^0'=0, conditional^0'=conditional^post3, -2+conditional^0 >= 0, cost: 1 Second rule: l0 -> l2 : num^0'=1+num^0, -2+conditional^0 >= 0, cost: 1 New rule: l3 -> l2 : Pdo^0'=0, IoCreateDevice^0'=0, conditional^0'=conditional^post3, num^0'=1+num^0, (-2+conditional^post3 >= 0 /\ -2+conditional^0 >= 0), cost: 2 Applied deletion Removed the following rules: 11 13 Eliminated locations on linear paths Start location: l7 19: l2 -> l3 : DName^0'=DName^post8, PPBlockInits^0'=1, status^0'=0, IoCreateDevice^0'=1, conditional^0'=conditional^post6, (1-Pdolen^0+i^0 <= 0 /\ -1+DName^post8 >= 0), cost: 2 12: l3 -> l2 : i^0'=1+i^0, status^0'=1, IoCreateDevice^0'=0, -1+conditional^0 <= 0, cost: 1 20: l3 -> l2 : Pdo^0'=0, IoCreateDevice^0'=0, conditional^0'=conditional^post3, num^0'=1+num^0, (-2+conditional^post3 >= 0 /\ -2+conditional^0 >= 0), cost: 2 18: l7 -> l2 : Pdolen^0'=Pdolen^post9, PPBlockInits^0'=1, i^0'=i^post9, status^0'=0, IoCreateDevice^0'=0, PPBunlockInits^0'=0, 0 == 0, cost: 2 Eliminating location l3 by chaining: Applied chaining First rule: l2 -> l3 : DName^0'=DName^post8, PPBlockInits^0'=1, status^0'=0, IoCreateDevice^0'=1, conditional^0'=conditional^post6, (1-Pdolen^0+i^0 <= 0 /\ -1+DName^post8 >= 0), cost: 2 Second rule: l3 -> l2 : i^0'=1+i^0, status^0'=1, IoCreateDevice^0'=0, -1+conditional^0 <= 0, cost: 1 New rule: l2 -> l2 : DName^0'=DName^post8, PPBlockInits^0'=1, i^0'=1+i^0, status^0'=1, IoCreateDevice^0'=0, conditional^0'=conditional^post6, (1-Pdolen^0+i^0 <= 0 /\ -1+DName^post8 >= 0 /\ -1+conditional^post6 <= 0), cost: 3 Applied chaining First rule: l2 -> l3 : DName^0'=DName^post8, PPBlockInits^0'=1, status^0'=0, IoCreateDevice^0'=1, conditional^0'=conditional^post6, (1-Pdolen^0+i^0 <= 0 /\ -1+DName^post8 >= 0), cost: 2 Second rule: l3 -> l2 : Pdo^0'=0, IoCreateDevice^0'=0, conditional^0'=conditional^post3, num^0'=1+num^0, (-2+conditional^post3 >= 0 /\ -2+conditional^0 >= 0), cost: 2 New rule: l2 -> l2 : DName^0'=DName^post8, PPBlockInits^0'=1, Pdo^0'=0, status^0'=0, IoCreateDevice^0'=0, conditional^0'=conditional^post3, num^0'=1+num^0, (-2+conditional^post6 >= 0 /\ -2+conditional^post3 >= 0 /\ 1-Pdolen^0+i^0 <= 0 /\ -1+DName^post8 >= 0), cost: 4 Applied deletion Removed the following rules: 12 19 20 Eliminated locations on tree-shaped paths Start location: l7 21: l2 -> l2 : DName^0'=DName^post8, PPBlockInits^0'=1, i^0'=1+i^0, status^0'=1, IoCreateDevice^0'=0, conditional^0'=conditional^post6, (1-Pdolen^0+i^0 <= 0 /\ -1+DName^post8 >= 0 /\ -1+conditional^post6 <= 0), cost: 3 22: l2 -> l2 : DName^0'=DName^post8, PPBlockInits^0'=1, Pdo^0'=0, status^0'=0, IoCreateDevice^0'=0, conditional^0'=conditional^post3, num^0'=1+num^0, (-2+conditional^post6 >= 0 /\ -2+conditional^post3 >= 0 /\ 1-Pdolen^0+i^0 <= 0 /\ -1+DName^post8 >= 0), cost: 4 18: l7 -> l2 : Pdolen^0'=Pdolen^post9, PPBlockInits^0'=1, i^0'=i^post9, status^0'=0, IoCreateDevice^0'=0, PPBunlockInits^0'=0, 0 == 0, cost: 2 Applied simplification Original rule: l2 -> l2 : DName^0'=DName^post8, PPBlockInits^0'=1, Pdo^0'=0, status^0'=0, IoCreateDevice^0'=0, conditional^0'=conditional^post3, num^0'=1+num^0, (-2+conditional^post6 >= 0 /\ -2+conditional^post3 >= 0 /\ 1-Pdolen^0+i^0 <= 0 /\ -1+DName^post8 >= 0), cost: 4 New rule: l2 -> l2 : DName^0'=DName^post8, PPBlockInits^0'=1, Pdo^0'=0, status^0'=0, IoCreateDevice^0'=0, conditional^0'=conditional^post3, num^0'=1+num^0, (-2+conditional^post3 >= 0 /\ 1-Pdolen^0+i^0 <= 0 /\ -1+DName^post8 >= 0), cost: 4 Simplified simple loops Start location: l7 21: l2 -> l2 : DName^0'=DName^post8, PPBlockInits^0'=1, i^0'=1+i^0, status^0'=1, IoCreateDevice^0'=0, conditional^0'=conditional^post6, (1-Pdolen^0+i^0 <= 0 /\ -1+DName^post8 >= 0 /\ -1+conditional^post6 <= 0), cost: 3 23: l2 -> l2 : DName^0'=DName^post8, PPBlockInits^0'=1, Pdo^0'=0, status^0'=0, IoCreateDevice^0'=0, conditional^0'=conditional^post3, num^0'=1+num^0, (-2+conditional^post3 >= 0 /\ 1-Pdolen^0+i^0 <= 0 /\ -1+DName^post8 >= 0), cost: 4 18: l7 -> l2 : Pdolen^0'=Pdolen^post9, PPBlockInits^0'=1, i^0'=i^post9, status^0'=0, IoCreateDevice^0'=0, PPBunlockInits^0'=0, 0 == 0, cost: 2 Applied acceleration Original rule: l2 -> l2 : DName^0'=DName^post8, PPBlockInits^0'=1, i^0'=1+i^0, status^0'=1, IoCreateDevice^0'=0, conditional^0'=conditional^post6, (1-Pdolen^0+i^0 <= 0 /\ -1+DName^post8 >= 0 /\ -1+conditional^post6 <= 0), cost: 3 New rule: l2 -> l2 : DName^0'=DName^post8, PPBlockInits^0'=1, i^0'=n1+i^0, status^0'=1, IoCreateDevice^0'=0, conditional^0'=conditional^post6, (-1+n1 >= 0 /\ -1+DName^post8 >= 0 /\ 1-conditional^post6 >= 0 /\ Pdolen^0-n1-i^0 >= 0), cost: 3*n1 Applied instantiation Original rule: l2 -> l2 : DName^0'=DName^post8, PPBlockInits^0'=1, i^0'=n1+i^0, status^0'=1, IoCreateDevice^0'=0, conditional^0'=conditional^post6, (-1+n1 >= 0 /\ -1+DName^post8 >= 0 /\ 1-conditional^post6 >= 0 /\ Pdolen^0-n1-i^0 >= 0), cost: 3*n1 New rule: l2 -> l2 : DName^0'=DName^post8, PPBlockInits^0'=1, i^0'=Pdolen^0, status^0'=1, IoCreateDevice^0'=0, conditional^0'=conditional^post6, (0 >= 0 /\ -1+DName^post8 >= 0 /\ 1-conditional^post6 >= 0 /\ -1+Pdolen^0-i^0 >= 0), cost: 3*Pdolen^0-3*i^0 Applied nonterm Original rule: l2 -> l2 : DName^0'=DName^post8, PPBlockInits^0'=1, Pdo^0'=0, status^0'=0, IoCreateDevice^0'=0, conditional^0'=conditional^post3, num^0'=1+num^0, (-2+conditional^post3 >= 0 /\ 1-Pdolen^0+i^0 <= 0 /\ -1+DName^post8 >= 0), cost: 4 New rule: l2 -> [8] : (-2+conditional^post3 >= 0 /\ -1+DName^post8 >= 0 /\ -1+Pdolen^0-i^0 >= 0), cost: NONTERM Applied acceleration Original rule: l2 -> l2 : DName^0'=DName^post8, PPBlockInits^0'=1, Pdo^0'=0, status^0'=0, IoCreateDevice^0'=0, conditional^0'=conditional^post3, num^0'=1+num^0, (-2+conditional^post3 >= 0 /\ 1-Pdolen^0+i^0 <= 0 /\ -1+DName^post8 >= 0), cost: 4 New rule: l2 -> l2 : DName^0'=DName^post8, PPBlockInits^0'=1, Pdo^0'=0, status^0'=0, IoCreateDevice^0'=0, conditional^0'=conditional^post3, num^0'=num^0+n3, (-2+conditional^post3 >= 0 /\ -1+DName^post8 >= 0 /\ -1+Pdolen^0-i^0 >= 0), cost: 4*n3 Applied simplification Original rule: l2 -> l2 : DName^0'=DName^post8, PPBlockInits^0'=1, i^0'=Pdolen^0, status^0'=1, IoCreateDevice^0'=0, conditional^0'=conditional^post6, (0 >= 0 /\ -1+DName^post8 >= 0 /\ 1-conditional^post6 >= 0 /\ -1+Pdolen^0-i^0 >= 0), cost: 3*Pdolen^0-3*i^0 New rule: l2 -> l2 : DName^0'=DName^post8, PPBlockInits^0'=1, i^0'=Pdolen^0, status^0'=1, IoCreateDevice^0'=0, conditional^0'=conditional^post6, (-1+DName^post8 >= 0 /\ -1+conditional^post6 <= 0 /\ -1+Pdolen^0-i^0 >= 0), cost: 3*Pdolen^0-3*i^0 Applied deletion Removed the following rules: 21 23 Accelerated simple loops Start location: l7 25: l2 -> [8] : (-2+conditional^post3 >= 0 /\ -1+DName^post8 >= 0 /\ -1+Pdolen^0-i^0 >= 0), cost: NONTERM 26: l2 -> l2 : DName^0'=DName^post8, PPBlockInits^0'=1, Pdo^0'=0, status^0'=0, IoCreateDevice^0'=0, conditional^0'=conditional^post3, num^0'=num^0+n3, (-2+conditional^post3 >= 0 /\ -1+DName^post8 >= 0 /\ -1+Pdolen^0-i^0 >= 0), cost: 4*n3 27: l2 -> l2 : DName^0'=DName^post8, PPBlockInits^0'=1, i^0'=Pdolen^0, status^0'=1, IoCreateDevice^0'=0, conditional^0'=conditional^post6, (-1+DName^post8 >= 0 /\ -1+conditional^post6 <= 0 /\ -1+Pdolen^0-i^0 >= 0), cost: 3*Pdolen^0-3*i^0 18: l7 -> l2 : Pdolen^0'=Pdolen^post9, PPBlockInits^0'=1, i^0'=i^post9, status^0'=0, IoCreateDevice^0'=0, PPBunlockInits^0'=0, 0 == 0, cost: 2 Applied chaining First rule: l7 -> l2 : Pdolen^0'=Pdolen^post9, PPBlockInits^0'=1, i^0'=i^post9, status^0'=0, IoCreateDevice^0'=0, PPBunlockInits^0'=0, 0 == 0, cost: 2 Second rule: l2 -> [8] : (-2+conditional^post3 >= 0 /\ -1+DName^post8 >= 0 /\ -1+Pdolen^0-i^0 >= 0), cost: NONTERM New rule: l7 -> [8] : 0 == 0, cost: NONTERM Applied chaining First rule: l7 -> l2 : Pdolen^0'=Pdolen^post9, PPBlockInits^0'=1, i^0'=i^post9, status^0'=0, IoCreateDevice^0'=0, PPBunlockInits^0'=0, 0 == 0, cost: 2 Second rule: l2 -> l2 : DName^0'=DName^post8, PPBlockInits^0'=1, Pdo^0'=0, status^0'=0, IoCreateDevice^0'=0, conditional^0'=conditional^post3, num^0'=num^0+n3, (-2+conditional^post3 >= 0 /\ -1+DName^post8 >= 0 /\ -1+Pdolen^0-i^0 >= 0), cost: 4*n3 New rule: l7 -> l2 : DName^0'=DName^post8, Pdolen^0'=Pdolen^post9, PPBlockInits^0'=1, i^0'=i^post9, Pdo^0'=0, status^0'=0, IoCreateDevice^0'=0, conditional^0'=conditional^post3, PPBunlockInits^0'=0, num^0'=num^0+n3, (-1-i^post9+Pdolen^post9 >= 0 /\ -2+conditional^post3 >= 0 /\ -1+DName^post8 >= 0), cost: 2+4*n3 Applied chaining First rule: l7 -> l2 : Pdolen^0'=Pdolen^post9, PPBlockInits^0'=1, i^0'=i^post9, status^0'=0, IoCreateDevice^0'=0, PPBunlockInits^0'=0, 0 == 0, cost: 2 Second rule: l2 -> l2 : DName^0'=DName^post8, PPBlockInits^0'=1, i^0'=Pdolen^0, status^0'=1, IoCreateDevice^0'=0, conditional^0'=conditional^post6, (-1+DName^post8 >= 0 /\ -1+conditional^post6 <= 0 /\ -1+Pdolen^0-i^0 >= 0), cost: 3*Pdolen^0-3*i^0 New rule: l7 -> l2 : DName^0'=DName^post8, Pdolen^0'=Pdolen^post9, PPBlockInits^0'=1, i^0'=Pdolen^post9, status^0'=1, IoCreateDevice^0'=0, conditional^0'=conditional^post6, PPBunlockInits^0'=0, (-1-i^post9+Pdolen^post9 >= 0 /\ -1+DName^post8 >= 0 /\ -1+conditional^post6 <= 0), cost: 2-3*i^post9+3*Pdolen^post9 Applied deletion Removed the following rules: 25 26 27 Chained accelerated rules with incoming rules Start location: l7 18: l7 -> l2 : Pdolen^0'=Pdolen^post9, PPBlockInits^0'=1, i^0'=i^post9, status^0'=0, IoCreateDevice^0'=0, PPBunlockInits^0'=0, 0 == 0, cost: 2 28: l7 -> [8] : 0 == 0, cost: NONTERM 29: l7 -> l2 : DName^0'=DName^post8, Pdolen^0'=Pdolen^post9, PPBlockInits^0'=1, i^0'=i^post9, Pdo^0'=0, status^0'=0, IoCreateDevice^0'=0, conditional^0'=conditional^post3, PPBunlockInits^0'=0, num^0'=num^0+n3, (-1-i^post9+Pdolen^post9 >= 0 /\ -2+conditional^post3 >= 0 /\ -1+DName^post8 >= 0), cost: 2+4*n3 30: l7 -> l2 : DName^0'=DName^post8, Pdolen^0'=Pdolen^post9, PPBlockInits^0'=1, i^0'=Pdolen^post9, status^0'=1, IoCreateDevice^0'=0, conditional^0'=conditional^post6, PPBunlockInits^0'=0, (-1-i^post9+Pdolen^post9 >= 0 /\ -1+DName^post8 >= 0 /\ -1+conditional^post6 <= 0), cost: 2-3*i^post9+3*Pdolen^post9 Removed unreachable locations and irrelevant leafs Start location: l7 28: l7 -> [8] : 0 == 0, cost: NONTERM Computing asymptotic complexity Proved nontermination of rule 28 via SMT. Proved the following lower bound Complexity: Nonterm Cpx degree: Nonterm Solved cost: NONTERM Rule cost: NONTERM Rule guard: 0 == 0