YES * Step 1: UnsatPaths YES + Considered Problem: Rules: 0. evalaaron2start(A,B,C) -> evalaaron2entryin(A,B,C) True (1,1) 1. evalaaron2entryin(A,B,C) -> evalaaron2bb6in(A,C,B) [A >= 0] (?,1) 2. evalaaron2entryin(A,B,C) -> evalaaron2returnin(A,B,C) [0 >= 1 + A] (?,1) 3. evalaaron2bb6in(A,B,C) -> evalaaron2returnin(A,B,C) [B >= 1 + C] (?,1) 4. evalaaron2bb6in(A,B,C) -> evalaaron2returnin(A,B,C) [0 >= 1 + A] (?,1) 5. evalaaron2bb6in(A,B,C) -> evalaaron2bb3in(A,B,C) [C >= B && A >= 0] (?,1) 6. evalaaron2bb3in(A,B,C) -> evalaaron2bb4in(A,B,C) [0 >= 1 + D] (?,1) 7. evalaaron2bb3in(A,B,C) -> evalaaron2bb4in(A,B,C) [D >= 1] (?,1) 8. evalaaron2bb3in(A,B,C) -> evalaaron2bb5in(A,B,C) True (?,1) 9. evalaaron2bb4in(A,B,C) -> evalaaron2bb6in(A,B,-1 + -1*A + C) True (?,1) 10. evalaaron2bb5in(A,B,C) -> evalaaron2bb6in(A,1 + A + B,C) True (?,1) 11. evalaaron2returnin(A,B,C) -> evalaaron2stop(A,B,C) True (?,1) Signature: {(evalaaron2bb3in,3) ;(evalaaron2bb4in,3) ;(evalaaron2bb5in,3) ;(evalaaron2bb6in,3) ;(evalaaron2entryin,3) ;(evalaaron2returnin,3) ;(evalaaron2start,3) ;(evalaaron2stop,3)} Flow Graph: [0->{1,2},1->{3,4,5},2->{11},3->{11},4->{11},5->{6,7,8},6->{9},7->{9},8->{10},9->{3,4,5},10->{3,4,5} ,11->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(1,4)] * Step 2: FromIts YES + Considered Problem: Rules: 0. evalaaron2start(A,B,C) -> evalaaron2entryin(A,B,C) True (1,1) 1. evalaaron2entryin(A,B,C) -> evalaaron2bb6in(A,C,B) [A >= 0] (?,1) 2. evalaaron2entryin(A,B,C) -> evalaaron2returnin(A,B,C) [0 >= 1 + A] (?,1) 3. evalaaron2bb6in(A,B,C) -> evalaaron2returnin(A,B,C) [B >= 1 + C] (?,1) 4. evalaaron2bb6in(A,B,C) -> evalaaron2returnin(A,B,C) [0 >= 1 + A] (?,1) 5. evalaaron2bb6in(A,B,C) -> evalaaron2bb3in(A,B,C) [C >= B && A >= 0] (?,1) 6. evalaaron2bb3in(A,B,C) -> evalaaron2bb4in(A,B,C) [0 >= 1 + D] (?,1) 7. evalaaron2bb3in(A,B,C) -> evalaaron2bb4in(A,B,C) [D >= 1] (?,1) 8. evalaaron2bb3in(A,B,C) -> evalaaron2bb5in(A,B,C) True (?,1) 9. evalaaron2bb4in(A,B,C) -> evalaaron2bb6in(A,B,-1 + -1*A + C) True (?,1) 10. evalaaron2bb5in(A,B,C) -> evalaaron2bb6in(A,1 + A + B,C) True (?,1) 11. evalaaron2returnin(A,B,C) -> evalaaron2stop(A,B,C) True (?,1) Signature: {(evalaaron2bb3in,3) ;(evalaaron2bb4in,3) ;(evalaaron2bb5in,3) ;(evalaaron2bb6in,3) ;(evalaaron2entryin,3) ;(evalaaron2returnin,3) ;(evalaaron2start,3) ;(evalaaron2stop,3)} Flow Graph: [0->{1,2},1->{3,5},2->{11},3->{11},4->{11},5->{6,7,8},6->{9},7->{9},8->{10},9->{3,4,5},10->{3,4,5},11->{}] + Applied Processor: FromIts + Details: () * Step 3: Decompose YES + Considered Problem: Rules: evalaaron2start(A,B,C) -> evalaaron2entryin(A,B,C) True evalaaron2entryin(A,B,C) -> evalaaron2bb6in(A,C,B) [A >= 0] evalaaron2entryin(A,B,C) -> evalaaron2returnin(A,B,C) [0 >= 1 + A] evalaaron2bb6in(A,B,C) -> evalaaron2returnin(A,B,C) [B >= 1 + C] evalaaron2bb6in(A,B,C) -> evalaaron2returnin(A,B,C) [0 >= 1 + A] evalaaron2bb6in(A,B,C) -> evalaaron2bb3in(A,B,C) [C >= B && A >= 0] evalaaron2bb3in(A,B,C) -> evalaaron2bb4in(A,B,C) [0 >= 1 + D] evalaaron2bb3in(A,B,C) -> evalaaron2bb4in(A,B,C) [D >= 1] evalaaron2bb3in(A,B,C) -> evalaaron2bb5in(A,B,C) True evalaaron2bb4in(A,B,C) -> evalaaron2bb6in(A,B,-1 + -1*A + C) True evalaaron2bb5in(A,B,C) -> evalaaron2bb6in(A,1 + A + B,C) True evalaaron2returnin(A,B,C) -> evalaaron2stop(A,B,C) True Signature: {(evalaaron2bb3in,3) ;(evalaaron2bb4in,3) ;(evalaaron2bb5in,3) ;(evalaaron2bb6in,3) ;(evalaaron2entryin,3) ;(evalaaron2returnin,3) ;(evalaaron2start,3) ;(evalaaron2stop,3)} Rule Graph: [0->{1,2},1->{3,5},2->{11},3->{11},4->{11},5->{6,7,8},6->{9},7->{9},8->{10},9->{3,4,5},10->{3,4,5},11->{}] + Applied Processor: Decompose NoGreedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11] | `- p:[5,9,6,7,10,8] c: [5,6,7,8,9,10] * Step 4: CloseWith YES + Considered Problem: (Rules: evalaaron2start(A,B,C) -> evalaaron2entryin(A,B,C) True evalaaron2entryin(A,B,C) -> evalaaron2bb6in(A,C,B) [A >= 0] evalaaron2entryin(A,B,C) -> evalaaron2returnin(A,B,C) [0 >= 1 + A] evalaaron2bb6in(A,B,C) -> evalaaron2returnin(A,B,C) [B >= 1 + C] evalaaron2bb6in(A,B,C) -> evalaaron2returnin(A,B,C) [0 >= 1 + A] evalaaron2bb6in(A,B,C) -> evalaaron2bb3in(A,B,C) [C >= B && A >= 0] evalaaron2bb3in(A,B,C) -> evalaaron2bb4in(A,B,C) [0 >= 1 + D] evalaaron2bb3in(A,B,C) -> evalaaron2bb4in(A,B,C) [D >= 1] evalaaron2bb3in(A,B,C) -> evalaaron2bb5in(A,B,C) True evalaaron2bb4in(A,B,C) -> evalaaron2bb6in(A,B,-1 + -1*A + C) True evalaaron2bb5in(A,B,C) -> evalaaron2bb6in(A,1 + A + B,C) True evalaaron2returnin(A,B,C) -> evalaaron2stop(A,B,C) True Signature: {(evalaaron2bb3in,3) ;(evalaaron2bb4in,3) ;(evalaaron2bb5in,3) ;(evalaaron2bb6in,3) ;(evalaaron2entryin,3) ;(evalaaron2returnin,3) ;(evalaaron2start,3) ;(evalaaron2stop,3)} Rule Graph: [0->{1,2},1->{3,5},2->{11},3->{11},4->{11},5->{6,7,8},6->{9},7->{9},8->{10},9->{3,4,5},10->{3,4,5},11->{}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11] | `- p:[5,9,6,7,10,8] c: [5,6,7,8,9,10]) + Applied Processor: CloseWith True + Details: () YES