MAYBE * Step 1: TrivialSCCs MAYBE + Considered Problem: Rules: 0. evalloopsstart(A,B) -> evalloopsentryin(A,B) True (1,1) 1. evalloopsentryin(A,B) -> evalloopsbb6in(A,B) [A >= 0] (?,1) 2. evalloopsentryin(A,B) -> evalloopsreturnin(A,B) [0 >= 1 + A] (?,1) 3. evalloopsbb6in(A,B) -> evalloopsbb1in(A,B) [A >= 0] (?,1) 4. evalloopsbb6in(A,B) -> evalloopsreturnin(A,B) [0 >= 1 + A] (?,1) 5. evalloopsbb1in(A,B) -> evalloopsbb4in(A,1) [A >= 2] (?,1) 6. evalloopsbb1in(A,B) -> evalloopsbb5in(A,C) [1 >= A] (?,1) 7. evalloopsbb4in(A,B) -> evalloopsbb3in(A,B) [A >= 1 + B] (?,1) 8. evalloopsbb4in(A,B) -> evalloopsbb5in(A,B) [B >= A] (?,1) 9. evalloopsbb3in(A,B) -> evalloopsbb4in(A,2*B) True (?,1) 10. evalloopsbb5in(A,B) -> evalloopsbb6in(-1 + A,B) True (?,1) 11. evalloopsreturnin(A,B) -> evalloopsstop(A,B) True (?,1) Signature: {(evalloopsbb1in,2) ;(evalloopsbb3in,2) ;(evalloopsbb4in,2) ;(evalloopsbb5in,2) ;(evalloopsbb6in,2) ;(evalloopsentryin,2) ;(evalloopsreturnin,2) ;(evalloopsstart,2) ;(evalloopsstop,2)} Flow Graph: [0->{1,2},1->{3,4},2->{11},3->{5,6},4->{11},5->{7,8},6->{10},7->{9},8->{10},9->{7,8},10->{3,4},11->{}] + Applied Processor: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 2: UnsatPaths MAYBE + Considered Problem: Rules: 0. evalloopsstart(A,B) -> evalloopsentryin(A,B) True (1,1) 1. evalloopsentryin(A,B) -> evalloopsbb6in(A,B) [A >= 0] (1,1) 2. evalloopsentryin(A,B) -> evalloopsreturnin(A,B) [0 >= 1 + A] (1,1) 3. evalloopsbb6in(A,B) -> evalloopsbb1in(A,B) [A >= 0] (?,1) 4. evalloopsbb6in(A,B) -> evalloopsreturnin(A,B) [0 >= 1 + A] (1,1) 5. evalloopsbb1in(A,B) -> evalloopsbb4in(A,1) [A >= 2] (?,1) 6. evalloopsbb1in(A,B) -> evalloopsbb5in(A,C) [1 >= A] (?,1) 7. evalloopsbb4in(A,B) -> evalloopsbb3in(A,B) [A >= 1 + B] (?,1) 8. evalloopsbb4in(A,B) -> evalloopsbb5in(A,B) [B >= A] (?,1) 9. evalloopsbb3in(A,B) -> evalloopsbb4in(A,2*B) True (?,1) 10. evalloopsbb5in(A,B) -> evalloopsbb6in(-1 + A,B) True (?,1) 11. evalloopsreturnin(A,B) -> evalloopsstop(A,B) True (1,1) Signature: {(evalloopsbb1in,2) ;(evalloopsbb3in,2) ;(evalloopsbb4in,2) ;(evalloopsbb5in,2) ;(evalloopsbb6in,2) ;(evalloopsentryin,2) ;(evalloopsreturnin,2) ;(evalloopsstart,2) ;(evalloopsstop,2)} Flow Graph: [0->{1,2},1->{3,4},2->{11},3->{5,6},4->{11},5->{7,8},6->{10},7->{9},8->{10},9->{7,8},10->{3,4},11->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(1,4),(5,8)] * Step 3: AddSinks MAYBE + Considered Problem: Rules: 0. evalloopsstart(A,B) -> evalloopsentryin(A,B) True (1,1) 1. evalloopsentryin(A,B) -> evalloopsbb6in(A,B) [A >= 0] (1,1) 2. evalloopsentryin(A,B) -> evalloopsreturnin(A,B) [0 >= 1 + A] (1,1) 3. evalloopsbb6in(A,B) -> evalloopsbb1in(A,B) [A >= 0] (?,1) 4. evalloopsbb6in(A,B) -> evalloopsreturnin(A,B) [0 >= 1 + A] (1,1) 5. evalloopsbb1in(A,B) -> evalloopsbb4in(A,1) [A >= 2] (?,1) 6. evalloopsbb1in(A,B) -> evalloopsbb5in(A,C) [1 >= A] (?,1) 7. evalloopsbb4in(A,B) -> evalloopsbb3in(A,B) [A >= 1 + B] (?,1) 8. evalloopsbb4in(A,B) -> evalloopsbb5in(A,B) [B >= A] (?,1) 9. evalloopsbb3in(A,B) -> evalloopsbb4in(A,2*B) True (?,1) 10. evalloopsbb5in(A,B) -> evalloopsbb6in(-1 + A,B) True (?,1) 11. evalloopsreturnin(A,B) -> evalloopsstop(A,B) True (1,1) Signature: {(evalloopsbb1in,2) ;(evalloopsbb3in,2) ;(evalloopsbb4in,2) ;(evalloopsbb5in,2) ;(evalloopsbb6in,2) ;(evalloopsentryin,2) ;(evalloopsreturnin,2) ;(evalloopsstart,2) ;(evalloopsstop,2)} Flow Graph: [0->{1,2},1->{3},2->{11},3->{5,6},4->{11},5->{7},6->{10},7->{9},8->{10},9->{7,8},10->{3,4},11->{}] + Applied Processor: AddSinks + Details: () * Step 4: UnsatPaths MAYBE + Considered Problem: Rules: 0. evalloopsstart(A,B) -> evalloopsentryin(A,B) True (1,1) 1. evalloopsentryin(A,B) -> evalloopsbb6in(A,B) [A >= 0] (?,1) 2. evalloopsentryin(A,B) -> evalloopsreturnin(A,B) [0 >= 1 + A] (?,1) 3. evalloopsbb6in(A,B) -> evalloopsbb1in(A,B) [A >= 0] (?,1) 4. evalloopsbb6in(A,B) -> evalloopsreturnin(A,B) [0 >= 1 + A] (?,1) 5. evalloopsbb1in(A,B) -> evalloopsbb4in(A,1) [A >= 2] (?,1) 6. evalloopsbb1in(A,B) -> evalloopsbb5in(A,C) [1 >= A] (?,1) 7. evalloopsbb4in(A,B) -> evalloopsbb3in(A,B) [A >= 1 + B] (?,1) 8. evalloopsbb4in(A,B) -> evalloopsbb5in(A,B) [B >= A] (?,1) 9. evalloopsbb3in(A,B) -> evalloopsbb4in(A,2*B) True (?,1) 10. evalloopsbb5in(A,B) -> evalloopsbb6in(-1 + A,B) True (?,1) 11. evalloopsreturnin(A,B) -> evalloopsstop(A,B) True (?,1) 12. evalloopsreturnin(A,B) -> exitus616(A,B) True (?,1) Signature: {(evalloopsbb1in,2) ;(evalloopsbb3in,2) ;(evalloopsbb4in,2) ;(evalloopsbb5in,2) ;(evalloopsbb6in,2) ;(evalloopsentryin,2) ;(evalloopsreturnin,2) ;(evalloopsstart,2) ;(evalloopsstop,2) ;(exitus616,2)} Flow Graph: [0->{1,2},1->{3,4},2->{11,12},3->{5,6},4->{11,12},5->{7,8},6->{10},7->{9},8->{10},9->{7,8},10->{3,4} ,11->{},12->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(1,4),(5,8)] * Step 5: Failure MAYBE + Considered Problem: Rules: 0. evalloopsstart(A,B) -> evalloopsentryin(A,B) True (1,1) 1. evalloopsentryin(A,B) -> evalloopsbb6in(A,B) [A >= 0] (?,1) 2. evalloopsentryin(A,B) -> evalloopsreturnin(A,B) [0 >= 1 + A] (?,1) 3. evalloopsbb6in(A,B) -> evalloopsbb1in(A,B) [A >= 0] (?,1) 4. evalloopsbb6in(A,B) -> evalloopsreturnin(A,B) [0 >= 1 + A] (?,1) 5. evalloopsbb1in(A,B) -> evalloopsbb4in(A,1) [A >= 2] (?,1) 6. evalloopsbb1in(A,B) -> evalloopsbb5in(A,C) [1 >= A] (?,1) 7. evalloopsbb4in(A,B) -> evalloopsbb3in(A,B) [A >= 1 + B] (?,1) 8. evalloopsbb4in(A,B) -> evalloopsbb5in(A,B) [B >= A] (?,1) 9. evalloopsbb3in(A,B) -> evalloopsbb4in(A,2*B) True (?,1) 10. evalloopsbb5in(A,B) -> evalloopsbb6in(-1 + A,B) True (?,1) 11. evalloopsreturnin(A,B) -> evalloopsstop(A,B) True (?,1) 12. evalloopsreturnin(A,B) -> exitus616(A,B) True (?,1) Signature: {(evalloopsbb1in,2) ;(evalloopsbb3in,2) ;(evalloopsbb4in,2) ;(evalloopsbb5in,2) ;(evalloopsbb6in,2) ;(evalloopsentryin,2) ;(evalloopsreturnin,2) ;(evalloopsstart,2) ;(evalloopsstop,2) ;(exitus616,2)} Flow Graph: [0->{1,2},1->{3},2->{11,12},3->{5,6},4->{11,12},5->{7},6->{10},7->{9},8->{10},9->{7,8},10->{3,4},11->{} ,12->{}] + Applied Processor: LooptreeTransformer + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12] | `- p:[3,10,6,8,9,7,5] c: [5] | +- p:[7,9] c: [] | `- p:[3,10,6] c: [3] MAYBE