YES * Step 1: FromIts YES + Considered Problem: Rules: 0. evalndecrstart(A) -> evalndecrentryin(A) True (1,1) 1. evalndecrentryin(A) -> evalndecrbb1in(-1 + A) True (?,1) 2. evalndecrbb1in(A) -> evalndecrbbin(A) [A >= 2] (?,1) 3. evalndecrbb1in(A) -> evalndecrreturnin(A) [1 >= A] (?,1) 4. evalndecrbbin(A) -> evalndecrbb1in(-1 + A) True (?,1) 5. evalndecrreturnin(A) -> evalndecrstop(A) True (?,1) Signature: {(evalndecrbb1in,1) ;(evalndecrbbin,1) ;(evalndecrentryin,1) ;(evalndecrreturnin,1) ;(evalndecrstart,1) ;(evalndecrstop,1)} Flow Graph: [0->{1},1->{2,3},2->{4},3->{5},4->{2,3},5->{}] + Applied Processor: FromIts + Details: () * Step 2: Decompose YES + Considered Problem: Rules: evalndecrstart(A) -> evalndecrentryin(A) True evalndecrentryin(A) -> evalndecrbb1in(-1 + A) True evalndecrbb1in(A) -> evalndecrbbin(A) [A >= 2] evalndecrbb1in(A) -> evalndecrreturnin(A) [1 >= A] evalndecrbbin(A) -> evalndecrbb1in(-1 + A) True evalndecrreturnin(A) -> evalndecrstop(A) True Signature: {(evalndecrbb1in,1) ;(evalndecrbbin,1) ;(evalndecrentryin,1) ;(evalndecrreturnin,1) ;(evalndecrstart,1) ;(evalndecrstop,1)} Rule Graph: [0->{1},1->{2,3},2->{4},3->{5},4->{2,3},5->{}] + Applied Processor: Decompose NoGreedy + Details: We construct a looptree: P: [0,1,2,3,4,5] | `- p:[2,4] c: [2,4] * Step 3: CloseWith YES + Considered Problem: (Rules: evalndecrstart(A) -> evalndecrentryin(A) True evalndecrentryin(A) -> evalndecrbb1in(-1 + A) True evalndecrbb1in(A) -> evalndecrbbin(A) [A >= 2] evalndecrbb1in(A) -> evalndecrreturnin(A) [1 >= A] evalndecrbbin(A) -> evalndecrbb1in(-1 + A) True evalndecrreturnin(A) -> evalndecrstop(A) True Signature: {(evalndecrbb1in,1) ;(evalndecrbbin,1) ;(evalndecrentryin,1) ;(evalndecrreturnin,1) ;(evalndecrstart,1) ;(evalndecrstop,1)} Rule Graph: [0->{1},1->{2,3},2->{4},3->{5},4->{2,3},5->{}] ,We construct a looptree: P: [0,1,2,3,4,5] | `- p:[2,4] c: [2,4]) + Applied Processor: CloseWith True + Details: () YES