YES * Step 1: FromIts YES + Considered Problem: Rules: 0. evalfstart(A,B,C) -> evalfentryin(A,B,C) True (1,1) 1. evalfentryin(A,B,C) -> evalfbb5in(0,B,C) True (?,1) 2. evalfbb5in(A,B,C) -> evalfreturnin(A,B,C) [A >= B] (?,1) 3. evalfbb5in(A,B,C) -> evalfbb6in(A,B,C) [B >= 1 + A] (?,1) 4. evalfbb6in(A,B,C) -> evalfbb2in(A,B,A) [0 >= 1 + D] (?,1) 5. evalfbb6in(A,B,C) -> evalfbb2in(A,B,A) [D >= 1] (?,1) 6. evalfbb6in(A,B,C) -> evalfreturnin(A,B,C) True (?,1) 7. evalfbb2in(A,B,C) -> evalfbb4in(A,B,C) [C >= B] (?,1) 8. evalfbb2in(A,B,C) -> evalfbb3in(A,B,C) [B >= 1 + C] (?,1) 9. evalfbb3in(A,B,C) -> evalfbb1in(A,B,C) [0 >= 1 + D] (?,1) 10. evalfbb3in(A,B,C) -> evalfbb1in(A,B,C) [D >= 1] (?,1) 11. evalfbb3in(A,B,C) -> evalfbb4in(A,B,C) True (?,1) 12. evalfbb1in(A,B,C) -> evalfbb2in(A,B,1 + C) True (?,1) 13. evalfbb4in(A,B,C) -> evalfbb5in(1 + C,B,C) True (?,1) 14. evalfreturnin(A,B,C) -> evalfstop(A,B,C) True (?,1) Signature: {(evalfbb1in,3) ;(evalfbb2in,3) ;(evalfbb3in,3) ;(evalfbb4in,3) ;(evalfbb5in,3) ;(evalfbb6in,3) ;(evalfentryin,3) ;(evalfreturnin,3) ;(evalfstart,3) ;(evalfstop,3)} Flow Graph: [0->{1},1->{2,3},2->{14},3->{4,5,6},4->{7,8},5->{7,8},6->{14},7->{13},8->{9,10,11},9->{12},10->{12} ,11->{13},12->{7,8},13->{2,3},14->{}] + Applied Processor: FromIts + Details: () * Step 2: Decompose YES + Considered Problem: Rules: evalfstart(A,B,C) -> evalfentryin(A,B,C) True evalfentryin(A,B,C) -> evalfbb5in(0,B,C) True evalfbb5in(A,B,C) -> evalfreturnin(A,B,C) [A >= B] evalfbb5in(A,B,C) -> evalfbb6in(A,B,C) [B >= 1 + A] evalfbb6in(A,B,C) -> evalfbb2in(A,B,A) [0 >= 1 + D] evalfbb6in(A,B,C) -> evalfbb2in(A,B,A) [D >= 1] evalfbb6in(A,B,C) -> evalfreturnin(A,B,C) True evalfbb2in(A,B,C) -> evalfbb4in(A,B,C) [C >= B] evalfbb2in(A,B,C) -> evalfbb3in(A,B,C) [B >= 1 + C] evalfbb3in(A,B,C) -> evalfbb1in(A,B,C) [0 >= 1 + D] evalfbb3in(A,B,C) -> evalfbb1in(A,B,C) [D >= 1] evalfbb3in(A,B,C) -> evalfbb4in(A,B,C) True evalfbb1in(A,B,C) -> evalfbb2in(A,B,1 + C) True evalfbb4in(A,B,C) -> evalfbb5in(1 + C,B,C) True evalfreturnin(A,B,C) -> evalfstop(A,B,C) True Signature: {(evalfbb1in,3) ;(evalfbb2in,3) ;(evalfbb3in,3) ;(evalfbb4in,3) ;(evalfbb5in,3) ;(evalfbb6in,3) ;(evalfentryin,3) ;(evalfreturnin,3) ;(evalfstart,3) ;(evalfstop,3)} Rule Graph: [0->{1},1->{2,3},2->{14},3->{4,5,6},4->{7,8},5->{7,8},6->{14},7->{13},8->{9,10,11},9->{12},10->{12} ,11->{13},12->{7,8},13->{2,3},14->{}] + Applied Processor: Decompose NoGreedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14] | `- p:[3,13,7,4,5,12,9,8,10,11] c: [8,9,10,11,12] | `- p:[3,13,7,4,5] c: [3,4,5,7,13] * Step 3: CloseWith YES + Considered Problem: (Rules: evalfstart(A,B,C) -> evalfentryin(A,B,C) True evalfentryin(A,B,C) -> evalfbb5in(0,B,C) True evalfbb5in(A,B,C) -> evalfreturnin(A,B,C) [A >= B] evalfbb5in(A,B,C) -> evalfbb6in(A,B,C) [B >= 1 + A] evalfbb6in(A,B,C) -> evalfbb2in(A,B,A) [0 >= 1 + D] evalfbb6in(A,B,C) -> evalfbb2in(A,B,A) [D >= 1] evalfbb6in(A,B,C) -> evalfreturnin(A,B,C) True evalfbb2in(A,B,C) -> evalfbb4in(A,B,C) [C >= B] evalfbb2in(A,B,C) -> evalfbb3in(A,B,C) [B >= 1 + C] evalfbb3in(A,B,C) -> evalfbb1in(A,B,C) [0 >= 1 + D] evalfbb3in(A,B,C) -> evalfbb1in(A,B,C) [D >= 1] evalfbb3in(A,B,C) -> evalfbb4in(A,B,C) True evalfbb1in(A,B,C) -> evalfbb2in(A,B,1 + C) True evalfbb4in(A,B,C) -> evalfbb5in(1 + C,B,C) True evalfreturnin(A,B,C) -> evalfstop(A,B,C) True Signature: {(evalfbb1in,3) ;(evalfbb2in,3) ;(evalfbb3in,3) ;(evalfbb4in,3) ;(evalfbb5in,3) ;(evalfbb6in,3) ;(evalfentryin,3) ;(evalfreturnin,3) ;(evalfstart,3) ;(evalfstop,3)} Rule Graph: [0->{1},1->{2,3},2->{14},3->{4,5,6},4->{7,8},5->{7,8},6->{14},7->{13},8->{9,10,11},9->{12},10->{12} ,11->{13},12->{7,8},13->{2,3},14->{}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14] | `- p:[3,13,7,4,5,12,9,8,10,11] c: [8,9,10,11,12] | `- p:[3,13,7,4,5] c: [3,4,5,7,13]) + Applied Processor: CloseWith True + Details: () YES