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