MAYBE * Step 1: TrivialSCCs MAYBE + Considered Problem: Rules: 0. evalrealheapsortstep2start(A,B,C,D) -> evalrealheapsortstep2entryin(A,B,C,D) True (1,1) 1. evalrealheapsortstep2entryin(A,B,C,D) -> evalrealheapsortstep2bbin(A,B,C,D) [A >= 3] (?,1) 2. evalrealheapsortstep2entryin(A,B,C,D) -> evalrealheapsortstep2returnin(A,B,C,D) [2 >= A] (?,1) 3. evalrealheapsortstep2bbin(A,B,C,D) -> evalrealheapsortstep2bb11in(A,0,C,D) True (?,1) 4. evalrealheapsortstep2bb11in(A,B,C,D) -> evalrealheapsortstep2bb1in(A,B,C,D) [A >= 2 + B] (?,1) 5. evalrealheapsortstep2bb11in(A,B,C,D) -> evalrealheapsortstep2returnin(A,B,C,D) [1 + B >= A] (?,1) 6. evalrealheapsortstep2bb1in(A,B,C,D) -> evalrealheapsortstep2bb9in(A,B,0,D) True (?,1) 7. evalrealheapsortstep2bb9in(A,B,C,D) -> evalrealheapsortstep2bb2in(A,B,C,D) [A >= 3 + B + 2*C] (?,1) 8. evalrealheapsortstep2bb9in(A,B,C,D) -> evalrealheapsortstep2bb10in(A,B,C,D) [2 + B + 2*C >= A] (?,1) 9. evalrealheapsortstep2bb2in(A,B,C,D) -> evalrealheapsortstep2bb4in(A,B,C,D) [A = 3 + B + 2*C] (?,1) 10. evalrealheapsortstep2bb2in(A,B,C,D) -> evalrealheapsortstep2bb3in(A,B,C,D) [A >= 4 + B + 2*C] (?,1) 11. evalrealheapsortstep2bb2in(A,B,C,D) -> evalrealheapsortstep2bb3in(A,B,C,D) [2 + B + 2*C >= A] (?,1) 12. evalrealheapsortstep2bb3in(A,B,C,D) -> evalrealheapsortstep2bb4in(A,B,C,D) True (?,1) 13. evalrealheapsortstep2bb3in(A,B,C,D) -> evalrealheapsortstep2bb5in(A,B,C,D) True (?,1) 14. evalrealheapsortstep2bb4in(A,B,C,D) -> evalrealheapsortstep2bb6in(A,B,C,1 + 2*C) True (?,1) 15. evalrealheapsortstep2bb5in(A,B,C,D) -> evalrealheapsortstep2bb6in(A,B,C,2 + 2*C) True (?,1) 16. evalrealheapsortstep2bb6in(A,B,C,D) -> evalrealheapsortstep2bb7in(A,B,C,D) True (?,1) 17. evalrealheapsortstep2bb6in(A,B,C,D) -> evalrealheapsortstep2bb9in(A,B,A,D) True (?,1) 18. evalrealheapsortstep2bb7in(A,B,C,D) -> evalrealheapsortstep2bb9in(A,B,D,D) True (?,1) 19. evalrealheapsortstep2bb10in(A,B,C,D) -> evalrealheapsortstep2bb11in(A,1 + B,C,D) True (?,1) 20. evalrealheapsortstep2returnin(A,B,C,D) -> evalrealheapsortstep2stop(A,B,C,D) True (?,1) Signature: {(evalrealheapsortstep2bb10in,4) ;(evalrealheapsortstep2bb11in,4) ;(evalrealheapsortstep2bb1in,4) ;(evalrealheapsortstep2bb2in,4) ;(evalrealheapsortstep2bb3in,4) ;(evalrealheapsortstep2bb4in,4) ;(evalrealheapsortstep2bb5in,4) ;(evalrealheapsortstep2bb6in,4) ;(evalrealheapsortstep2bb7in,4) ;(evalrealheapsortstep2bb9in,4) ;(evalrealheapsortstep2bbin,4) ;(evalrealheapsortstep2entryin,4) ;(evalrealheapsortstep2returnin,4) ;(evalrealheapsortstep2start,4) ;(evalrealheapsortstep2stop,4)} Flow Graph: [0->{1,2},1->{3},2->{20},3->{4,5},4->{6},5->{20},6->{7,8},7->{9,10,11},8->{19},9->{14},10->{12,13},11->{12 ,13},12->{14},13->{15},14->{16,17},15->{16,17},16->{18},17->{7,8},18->{7,8},19->{4,5},20->{}] + Applied Processor: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 2: UnsatPaths MAYBE + Considered Problem: Rules: 0. evalrealheapsortstep2start(A,B,C,D) -> evalrealheapsortstep2entryin(A,B,C,D) True (1,1) 1. evalrealheapsortstep2entryin(A,B,C,D) -> evalrealheapsortstep2bbin(A,B,C,D) [A >= 3] (1,1) 2. evalrealheapsortstep2entryin(A,B,C,D) -> evalrealheapsortstep2returnin(A,B,C,D) [2 >= A] (1,1) 3. evalrealheapsortstep2bbin(A,B,C,D) -> evalrealheapsortstep2bb11in(A,0,C,D) True (1,1) 4. evalrealheapsortstep2bb11in(A,B,C,D) -> evalrealheapsortstep2bb1in(A,B,C,D) [A >= 2 + B] (?,1) 5. evalrealheapsortstep2bb11in(A,B,C,D) -> evalrealheapsortstep2returnin(A,B,C,D) [1 + B >= A] (1,1) 6. evalrealheapsortstep2bb1in(A,B,C,D) -> evalrealheapsortstep2bb9in(A,B,0,D) True (?,1) 7. evalrealheapsortstep2bb9in(A,B,C,D) -> evalrealheapsortstep2bb2in(A,B,C,D) [A >= 3 + B + 2*C] (?,1) 8. evalrealheapsortstep2bb9in(A,B,C,D) -> evalrealheapsortstep2bb10in(A,B,C,D) [2 + B + 2*C >= A] (?,1) 9. evalrealheapsortstep2bb2in(A,B,C,D) -> evalrealheapsortstep2bb4in(A,B,C,D) [A = 3 + B + 2*C] (?,1) 10. evalrealheapsortstep2bb2in(A,B,C,D) -> evalrealheapsortstep2bb3in(A,B,C,D) [A >= 4 + B + 2*C] (?,1) 11. evalrealheapsortstep2bb2in(A,B,C,D) -> evalrealheapsortstep2bb3in(A,B,C,D) [2 + B + 2*C >= A] (?,1) 12. evalrealheapsortstep2bb3in(A,B,C,D) -> evalrealheapsortstep2bb4in(A,B,C,D) True (?,1) 13. evalrealheapsortstep2bb3in(A,B,C,D) -> evalrealheapsortstep2bb5in(A,B,C,D) True (?,1) 14. evalrealheapsortstep2bb4in(A,B,C,D) -> evalrealheapsortstep2bb6in(A,B,C,1 + 2*C) True (?,1) 15. evalrealheapsortstep2bb5in(A,B,C,D) -> evalrealheapsortstep2bb6in(A,B,C,2 + 2*C) True (?,1) 16. evalrealheapsortstep2bb6in(A,B,C,D) -> evalrealheapsortstep2bb7in(A,B,C,D) True (?,1) 17. evalrealheapsortstep2bb6in(A,B,C,D) -> evalrealheapsortstep2bb9in(A,B,A,D) True (?,1) 18. evalrealheapsortstep2bb7in(A,B,C,D) -> evalrealheapsortstep2bb9in(A,B,D,D) True (?,1) 19. evalrealheapsortstep2bb10in(A,B,C,D) -> evalrealheapsortstep2bb11in(A,1 + B,C,D) True (?,1) 20. evalrealheapsortstep2returnin(A,B,C,D) -> evalrealheapsortstep2stop(A,B,C,D) True (1,1) Signature: {(evalrealheapsortstep2bb10in,4) ;(evalrealheapsortstep2bb11in,4) ;(evalrealheapsortstep2bb1in,4) ;(evalrealheapsortstep2bb2in,4) ;(evalrealheapsortstep2bb3in,4) ;(evalrealheapsortstep2bb4in,4) ;(evalrealheapsortstep2bb5in,4) ;(evalrealheapsortstep2bb6in,4) ;(evalrealheapsortstep2bb7in,4) ;(evalrealheapsortstep2bb9in,4) ;(evalrealheapsortstep2bbin,4) ;(evalrealheapsortstep2entryin,4) ;(evalrealheapsortstep2returnin,4) ;(evalrealheapsortstep2start,4) ;(evalrealheapsortstep2stop,4)} Flow Graph: [0->{1,2},1->{3},2->{20},3->{4,5},4->{6},5->{20},6->{7,8},7->{9,10,11},8->{19},9->{14},10->{12,13},11->{12 ,13},12->{14},13->{15},14->{16,17},15->{16,17},16->{18},17->{7,8},18->{7,8},19->{4,5},20->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(7,11)] * Step 3: UnreachableRules MAYBE + Considered Problem: Rules: 0. evalrealheapsortstep2start(A,B,C,D) -> evalrealheapsortstep2entryin(A,B,C,D) True (1,1) 1. evalrealheapsortstep2entryin(A,B,C,D) -> evalrealheapsortstep2bbin(A,B,C,D) [A >= 3] (1,1) 2. evalrealheapsortstep2entryin(A,B,C,D) -> evalrealheapsortstep2returnin(A,B,C,D) [2 >= A] (1,1) 3. evalrealheapsortstep2bbin(A,B,C,D) -> evalrealheapsortstep2bb11in(A,0,C,D) True (1,1) 4. evalrealheapsortstep2bb11in(A,B,C,D) -> evalrealheapsortstep2bb1in(A,B,C,D) [A >= 2 + B] (?,1) 5. evalrealheapsortstep2bb11in(A,B,C,D) -> evalrealheapsortstep2returnin(A,B,C,D) [1 + B >= A] (1,1) 6. evalrealheapsortstep2bb1in(A,B,C,D) -> evalrealheapsortstep2bb9in(A,B,0,D) True (?,1) 7. evalrealheapsortstep2bb9in(A,B,C,D) -> evalrealheapsortstep2bb2in(A,B,C,D) [A >= 3 + B + 2*C] (?,1) 8. evalrealheapsortstep2bb9in(A,B,C,D) -> evalrealheapsortstep2bb10in(A,B,C,D) [2 + B + 2*C >= A] (?,1) 9. evalrealheapsortstep2bb2in(A,B,C,D) -> evalrealheapsortstep2bb4in(A,B,C,D) [A = 3 + B + 2*C] (?,1) 10. evalrealheapsortstep2bb2in(A,B,C,D) -> evalrealheapsortstep2bb3in(A,B,C,D) [A >= 4 + B + 2*C] (?,1) 11. evalrealheapsortstep2bb2in(A,B,C,D) -> evalrealheapsortstep2bb3in(A,B,C,D) [2 + B + 2*C >= A] (?,1) 12. evalrealheapsortstep2bb3in(A,B,C,D) -> evalrealheapsortstep2bb4in(A,B,C,D) True (?,1) 13. evalrealheapsortstep2bb3in(A,B,C,D) -> evalrealheapsortstep2bb5in(A,B,C,D) True (?,1) 14. evalrealheapsortstep2bb4in(A,B,C,D) -> evalrealheapsortstep2bb6in(A,B,C,1 + 2*C) True (?,1) 15. evalrealheapsortstep2bb5in(A,B,C,D) -> evalrealheapsortstep2bb6in(A,B,C,2 + 2*C) True (?,1) 16. evalrealheapsortstep2bb6in(A,B,C,D) -> evalrealheapsortstep2bb7in(A,B,C,D) True (?,1) 17. evalrealheapsortstep2bb6in(A,B,C,D) -> evalrealheapsortstep2bb9in(A,B,A,D) True (?,1) 18. evalrealheapsortstep2bb7in(A,B,C,D) -> evalrealheapsortstep2bb9in(A,B,D,D) True (?,1) 19. evalrealheapsortstep2bb10in(A,B,C,D) -> evalrealheapsortstep2bb11in(A,1 + B,C,D) True (?,1) 20. evalrealheapsortstep2returnin(A,B,C,D) -> evalrealheapsortstep2stop(A,B,C,D) True (1,1) Signature: {(evalrealheapsortstep2bb10in,4) ;(evalrealheapsortstep2bb11in,4) ;(evalrealheapsortstep2bb1in,4) ;(evalrealheapsortstep2bb2in,4) ;(evalrealheapsortstep2bb3in,4) ;(evalrealheapsortstep2bb4in,4) ;(evalrealheapsortstep2bb5in,4) ;(evalrealheapsortstep2bb6in,4) ;(evalrealheapsortstep2bb7in,4) ;(evalrealheapsortstep2bb9in,4) ;(evalrealheapsortstep2bbin,4) ;(evalrealheapsortstep2entryin,4) ;(evalrealheapsortstep2returnin,4) ;(evalrealheapsortstep2start,4) ;(evalrealheapsortstep2stop,4)} Flow Graph: [0->{1,2},1->{3},2->{20},3->{4,5},4->{6},5->{20},6->{7,8},7->{9,10},8->{19},9->{14},10->{12,13},11->{12 ,13},12->{14},13->{15},14->{16,17},15->{16,17},16->{18},17->{7,8},18->{7,8},19->{4,5},20->{}] + Applied Processor: UnreachableRules + Details: Following transitions are not reachable from the starting states and are revomed: [11] * Step 4: AddSinks MAYBE + Considered Problem: Rules: 0. evalrealheapsortstep2start(A,B,C,D) -> evalrealheapsortstep2entryin(A,B,C,D) True (1,1) 1. evalrealheapsortstep2entryin(A,B,C,D) -> evalrealheapsortstep2bbin(A,B,C,D) [A >= 3] (1,1) 2. evalrealheapsortstep2entryin(A,B,C,D) -> evalrealheapsortstep2returnin(A,B,C,D) [2 >= A] (1,1) 3. evalrealheapsortstep2bbin(A,B,C,D) -> evalrealheapsortstep2bb11in(A,0,C,D) True (1,1) 4. evalrealheapsortstep2bb11in(A,B,C,D) -> evalrealheapsortstep2bb1in(A,B,C,D) [A >= 2 + B] (?,1) 5. evalrealheapsortstep2bb11in(A,B,C,D) -> evalrealheapsortstep2returnin(A,B,C,D) [1 + B >= A] (1,1) 6. evalrealheapsortstep2bb1in(A,B,C,D) -> evalrealheapsortstep2bb9in(A,B,0,D) True (?,1) 7. evalrealheapsortstep2bb9in(A,B,C,D) -> evalrealheapsortstep2bb2in(A,B,C,D) [A >= 3 + B + 2*C] (?,1) 8. evalrealheapsortstep2bb9in(A,B,C,D) -> evalrealheapsortstep2bb10in(A,B,C,D) [2 + B + 2*C >= A] (?,1) 9. evalrealheapsortstep2bb2in(A,B,C,D) -> evalrealheapsortstep2bb4in(A,B,C,D) [A = 3 + B + 2*C] (?,1) 10. evalrealheapsortstep2bb2in(A,B,C,D) -> evalrealheapsortstep2bb3in(A,B,C,D) [A >= 4 + B + 2*C] (?,1) 12. evalrealheapsortstep2bb3in(A,B,C,D) -> evalrealheapsortstep2bb4in(A,B,C,D) True (?,1) 13. evalrealheapsortstep2bb3in(A,B,C,D) -> evalrealheapsortstep2bb5in(A,B,C,D) True (?,1) 14. evalrealheapsortstep2bb4in(A,B,C,D) -> evalrealheapsortstep2bb6in(A,B,C,1 + 2*C) True (?,1) 15. evalrealheapsortstep2bb5in(A,B,C,D) -> evalrealheapsortstep2bb6in(A,B,C,2 + 2*C) True (?,1) 16. evalrealheapsortstep2bb6in(A,B,C,D) -> evalrealheapsortstep2bb7in(A,B,C,D) True (?,1) 17. evalrealheapsortstep2bb6in(A,B,C,D) -> evalrealheapsortstep2bb9in(A,B,A,D) True (?,1) 18. evalrealheapsortstep2bb7in(A,B,C,D) -> evalrealheapsortstep2bb9in(A,B,D,D) True (?,1) 19. evalrealheapsortstep2bb10in(A,B,C,D) -> evalrealheapsortstep2bb11in(A,1 + B,C,D) True (?,1) 20. evalrealheapsortstep2returnin(A,B,C,D) -> evalrealheapsortstep2stop(A,B,C,D) True (1,1) Signature: {(evalrealheapsortstep2bb10in,4) ;(evalrealheapsortstep2bb11in,4) ;(evalrealheapsortstep2bb1in,4) ;(evalrealheapsortstep2bb2in,4) ;(evalrealheapsortstep2bb3in,4) ;(evalrealheapsortstep2bb4in,4) ;(evalrealheapsortstep2bb5in,4) ;(evalrealheapsortstep2bb6in,4) ;(evalrealheapsortstep2bb7in,4) ;(evalrealheapsortstep2bb9in,4) ;(evalrealheapsortstep2bbin,4) ;(evalrealheapsortstep2entryin,4) ;(evalrealheapsortstep2returnin,4) ;(evalrealheapsortstep2start,4) ;(evalrealheapsortstep2stop,4)} Flow Graph: [0->{1,2},1->{3},2->{20},3->{4,5},4->{6},5->{20},6->{7,8},7->{9,10},8->{19},9->{14},10->{12,13},12->{14} ,13->{15},14->{16,17},15->{16,17},16->{18},17->{7,8},18->{7,8},19->{4,5},20->{}] + Applied Processor: AddSinks + Details: () * Step 5: Failure MAYBE + Considered Problem: Rules: 0. evalrealheapsortstep2start(A,B,C,D) -> evalrealheapsortstep2entryin(A,B,C,D) True (1,1) 1. evalrealheapsortstep2entryin(A,B,C,D) -> evalrealheapsortstep2bbin(A,B,C,D) [A >= 3] (?,1) 2. evalrealheapsortstep2entryin(A,B,C,D) -> evalrealheapsortstep2returnin(A,B,C,D) [2 >= A] (?,1) 3. evalrealheapsortstep2bbin(A,B,C,D) -> evalrealheapsortstep2bb11in(A,0,C,D) True (?,1) 4. evalrealheapsortstep2bb11in(A,B,C,D) -> evalrealheapsortstep2bb1in(A,B,C,D) [A >= 2 + B] (?,1) 5. evalrealheapsortstep2bb11in(A,B,C,D) -> evalrealheapsortstep2returnin(A,B,C,D) [1 + B >= A] (?,1) 6. evalrealheapsortstep2bb1in(A,B,C,D) -> evalrealheapsortstep2bb9in(A,B,0,D) True (?,1) 7. evalrealheapsortstep2bb9in(A,B,C,D) -> evalrealheapsortstep2bb2in(A,B,C,D) [A >= 3 + B + 2*C] (?,1) 8. evalrealheapsortstep2bb9in(A,B,C,D) -> evalrealheapsortstep2bb10in(A,B,C,D) [2 + B + 2*C >= A] (?,1) 9. evalrealheapsortstep2bb2in(A,B,C,D) -> evalrealheapsortstep2bb4in(A,B,C,D) [A = 3 + B + 2*C] (?,1) 10. evalrealheapsortstep2bb2in(A,B,C,D) -> evalrealheapsortstep2bb3in(A,B,C,D) [A >= 4 + B + 2*C] (?,1) 12. evalrealheapsortstep2bb3in(A,B,C,D) -> evalrealheapsortstep2bb4in(A,B,C,D) True (?,1) 13. evalrealheapsortstep2bb3in(A,B,C,D) -> evalrealheapsortstep2bb5in(A,B,C,D) True (?,1) 14. evalrealheapsortstep2bb4in(A,B,C,D) -> evalrealheapsortstep2bb6in(A,B,C,1 + 2*C) True (?,1) 15. evalrealheapsortstep2bb5in(A,B,C,D) -> evalrealheapsortstep2bb6in(A,B,C,2 + 2*C) True (?,1) 16. evalrealheapsortstep2bb6in(A,B,C,D) -> evalrealheapsortstep2bb7in(A,B,C,D) True (?,1) 17. evalrealheapsortstep2bb6in(A,B,C,D) -> evalrealheapsortstep2bb9in(A,B,A,D) True (?,1) 18. evalrealheapsortstep2bb7in(A,B,C,D) -> evalrealheapsortstep2bb9in(A,B,D,D) True (?,1) 19. evalrealheapsortstep2bb10in(A,B,C,D) -> evalrealheapsortstep2bb11in(A,1 + B,C,D) True (?,1) 20. evalrealheapsortstep2returnin(A,B,C,D) -> evalrealheapsortstep2stop(A,B,C,D) True (?,1) 21. evalrealheapsortstep2returnin(A,B,C,D) -> exitus616(A,B,C,D) True (?,1) Signature: {(evalrealheapsortstep2bb10in,4) ;(evalrealheapsortstep2bb11in,4) ;(evalrealheapsortstep2bb1in,4) ;(evalrealheapsortstep2bb2in,4) ;(evalrealheapsortstep2bb3in,4) ;(evalrealheapsortstep2bb4in,4) ;(evalrealheapsortstep2bb5in,4) ;(evalrealheapsortstep2bb6in,4) ;(evalrealheapsortstep2bb7in,4) ;(evalrealheapsortstep2bb9in,4) ;(evalrealheapsortstep2bbin,4) ;(evalrealheapsortstep2entryin,4) ;(evalrealheapsortstep2returnin,4) ;(evalrealheapsortstep2start,4) ;(evalrealheapsortstep2stop,4) ;(exitus616,4)} Flow Graph: [0->{1,2},1->{3},2->{20,21},3->{4,5},4->{6},5->{20,21},6->{7,8},7->{9,10},8->{19},9->{14},10->{12,13} ,12->{14},13->{15},14->{16,17},15->{16,17},16->{18},17->{7,8},18->{7,8},19->{4,5},20->{},21->{}] + Applied Processor: LooptreeTransformer + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,18,19,20,21] | `- p:[4,19,8,6,17,14,9,7,18,16,15,13,10,12] c: [4] | `- p:[7,17,14,9,12,10,15,13,18,16] c: [] MAYBE