YES * Step 1: FromIts YES + Considered Problem: Rules: 0. evalfstart(A,B,C,D,E) -> evalfentryin(A,B,C,D,E) True (1,1) 1. evalfentryin(A,B,C,D,E) -> evalfbb10in(1,B,C,D,E) True (?,1) 2. evalfbb10in(A,B,C,D,E) -> evalfbb8in(A,B,1,D,E) [B >= A] (?,1) 3. evalfbb10in(A,B,C,D,E) -> evalfreturnin(A,B,C,D,E) [A >= 1 + B] (?,1) 4. evalfbb8in(A,B,C,D,E) -> evalfbb6in(A,B,C,1 + A,E) [A >= C] (?,1) 5. evalfbb8in(A,B,C,D,E) -> evalfbb10in(1 + A,B,C,D,E) [C >= 1 + A] (?,1) 6. evalfbb6in(A,B,C,D,E) -> evalfbb4in(A,B,C,D,1) [B >= D] (?,1) 7. evalfbb6in(A,B,C,D,E) -> evalfbb7in(A,B,C,D,E) [D >= 1 + B] (?,1) 8. evalfbb4in(A,B,C,D,E) -> evalfbb3in(A,B,C,D,E) [D >= E] (?,1) 9. evalfbb4in(A,B,C,D,E) -> evalfbb5in(A,B,C,D,E) [E >= 1 + D] (?,1) 10. evalfbb3in(A,B,C,D,E) -> evalfbb4in(A,B,C,D,1 + E) True (?,1) 11. evalfbb5in(A,B,C,D,E) -> evalfbb6in(A,B,C,1 + D,E) True (?,1) 12. evalfbb7in(A,B,C,D,E) -> evalfbb8in(A,B,1 + C,D,E) True (?,1) 13. evalfreturnin(A,B,C,D,E) -> evalfstop(A,B,C,D,E) True (?,1) Signature: {(evalfbb10in,5) ;(evalfbb3in,5) ;(evalfbb4in,5) ;(evalfbb5in,5) ;(evalfbb6in,5) ;(evalfbb7in,5) ;(evalfbb8in,5) ;(evalfentryin,5) ;(evalfreturnin,5) ;(evalfstart,5) ;(evalfstop,5)} Flow Graph: [0->{1},1->{2,3},2->{4,5},3->{13},4->{6,7},5->{2,3},6->{8,9},7->{12},8->{10},9->{11},10->{8,9},11->{6,7} ,12->{4,5},13->{}] + Applied Processor: FromIts + Details: () * Step 2: Decompose YES + Considered Problem: Rules: evalfstart(A,B,C,D,E) -> evalfentryin(A,B,C,D,E) True evalfentryin(A,B,C,D,E) -> evalfbb10in(1,B,C,D,E) True evalfbb10in(A,B,C,D,E) -> evalfbb8in(A,B,1,D,E) [B >= A] evalfbb10in(A,B,C,D,E) -> evalfreturnin(A,B,C,D,E) [A >= 1 + B] evalfbb8in(A,B,C,D,E) -> evalfbb6in(A,B,C,1 + A,E) [A >= C] evalfbb8in(A,B,C,D,E) -> evalfbb10in(1 + A,B,C,D,E) [C >= 1 + A] evalfbb6in(A,B,C,D,E) -> evalfbb4in(A,B,C,D,1) [B >= D] evalfbb6in(A,B,C,D,E) -> evalfbb7in(A,B,C,D,E) [D >= 1 + B] evalfbb4in(A,B,C,D,E) -> evalfbb3in(A,B,C,D,E) [D >= E] evalfbb4in(A,B,C,D,E) -> evalfbb5in(A,B,C,D,E) [E >= 1 + D] evalfbb3in(A,B,C,D,E) -> evalfbb4in(A,B,C,D,1 + E) True evalfbb5in(A,B,C,D,E) -> evalfbb6in(A,B,C,1 + D,E) True evalfbb7in(A,B,C,D,E) -> evalfbb8in(A,B,1 + C,D,E) True evalfreturnin(A,B,C,D,E) -> evalfstop(A,B,C,D,E) True Signature: {(evalfbb10in,5) ;(evalfbb3in,5) ;(evalfbb4in,5) ;(evalfbb5in,5) ;(evalfbb6in,5) ;(evalfbb7in,5) ;(evalfbb8in,5) ;(evalfentryin,5) ;(evalfreturnin,5) ;(evalfstart,5) ;(evalfstop,5)} Rule Graph: [0->{1},1->{2,3},2->{4,5},3->{13},4->{6,7},5->{2,3},6->{8,9},7->{12},8->{10},9->{11},10->{8,9},11->{6,7} ,12->{4,5},13->{}] + Applied Processor: Decompose NoGreedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13] | `- p:[2,5,12,7,4,11,9,6,10,8] c: [2,5] | `- p:[4,12,7,11,9,6,10,8] c: [4,7,12] | `- p:[6,11,9,10,8] c: [6,9,11] | `- p:[8,10] c: [8,10] * Step 3: CloseWith YES + Considered Problem: (Rules: evalfstart(A,B,C,D,E) -> evalfentryin(A,B,C,D,E) True evalfentryin(A,B,C,D,E) -> evalfbb10in(1,B,C,D,E) True evalfbb10in(A,B,C,D,E) -> evalfbb8in(A,B,1,D,E) [B >= A] evalfbb10in(A,B,C,D,E) -> evalfreturnin(A,B,C,D,E) [A >= 1 + B] evalfbb8in(A,B,C,D,E) -> evalfbb6in(A,B,C,1 + A,E) [A >= C] evalfbb8in(A,B,C,D,E) -> evalfbb10in(1 + A,B,C,D,E) [C >= 1 + A] evalfbb6in(A,B,C,D,E) -> evalfbb4in(A,B,C,D,1) [B >= D] evalfbb6in(A,B,C,D,E) -> evalfbb7in(A,B,C,D,E) [D >= 1 + B] evalfbb4in(A,B,C,D,E) -> evalfbb3in(A,B,C,D,E) [D >= E] evalfbb4in(A,B,C,D,E) -> evalfbb5in(A,B,C,D,E) [E >= 1 + D] evalfbb3in(A,B,C,D,E) -> evalfbb4in(A,B,C,D,1 + E) True evalfbb5in(A,B,C,D,E) -> evalfbb6in(A,B,C,1 + D,E) True evalfbb7in(A,B,C,D,E) -> evalfbb8in(A,B,1 + C,D,E) True evalfreturnin(A,B,C,D,E) -> evalfstop(A,B,C,D,E) True Signature: {(evalfbb10in,5) ;(evalfbb3in,5) ;(evalfbb4in,5) ;(evalfbb5in,5) ;(evalfbb6in,5) ;(evalfbb7in,5) ;(evalfbb8in,5) ;(evalfentryin,5) ;(evalfreturnin,5) ;(evalfstart,5) ;(evalfstop,5)} Rule Graph: [0->{1},1->{2,3},2->{4,5},3->{13},4->{6,7},5->{2,3},6->{8,9},7->{12},8->{10},9->{11},10->{8,9},11->{6,7} ,12->{4,5},13->{}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13] | `- p:[2,5,12,7,4,11,9,6,10,8] c: [2,5] | `- p:[4,12,7,11,9,6,10,8] c: [4,7,12] | `- p:[6,11,9,10,8] c: [6,9,11] | `- p:[8,10] c: [8,10]) + Applied Processor: CloseWith True + Details: () YES