YES * Step 1: FromIts YES + Considered Problem: Rules: 0. evalDis1start(A,B,C,D) -> evalDis1entryin(A,B,C,D) True (1,1) 1. evalDis1entryin(A,B,C,D) -> evalDis1bb3in(B,A,D,C) True (?,1) 2. evalDis1bb3in(A,B,C,D) -> evalDis1bbin(A,B,C,D) [A >= 1 + B] (?,1) 3. evalDis1bb3in(A,B,C,D) -> evalDis1returnin(A,B,C,D) [B >= A] (?,1) 4. evalDis1bbin(A,B,C,D) -> evalDis1bb1in(A,B,C,D) [C >= 1 + D] (?,1) 5. evalDis1bbin(A,B,C,D) -> evalDis1bb2in(A,B,C,D) [D >= C] (?,1) 6. evalDis1bb1in(A,B,C,D) -> evalDis1bb3in(A,B,C,1 + D) True (?,1) 7. evalDis1bb2in(A,B,C,D) -> evalDis1bb3in(A,1 + B,C,D) True (?,1) 8. evalDis1returnin(A,B,C,D) -> evalDis1stop(A,B,C,D) True (?,1) Signature: {(evalDis1bb1in,4) ;(evalDis1bb2in,4) ;(evalDis1bb3in,4) ;(evalDis1bbin,4) ;(evalDis1entryin,4) ;(evalDis1returnin,4) ;(evalDis1start,4) ;(evalDis1stop,4)} Flow Graph: [0->{1},1->{2,3},2->{4,5},3->{8},4->{6},5->{7},6->{2,3},7->{2,3},8->{}] + Applied Processor: FromIts + Details: () * Step 2: Decompose YES + Considered Problem: Rules: evalDis1start(A,B,C,D) -> evalDis1entryin(A,B,C,D) True evalDis1entryin(A,B,C,D) -> evalDis1bb3in(B,A,D,C) True evalDis1bb3in(A,B,C,D) -> evalDis1bbin(A,B,C,D) [A >= 1 + B] evalDis1bb3in(A,B,C,D) -> evalDis1returnin(A,B,C,D) [B >= A] evalDis1bbin(A,B,C,D) -> evalDis1bb1in(A,B,C,D) [C >= 1 + D] evalDis1bbin(A,B,C,D) -> evalDis1bb2in(A,B,C,D) [D >= C] evalDis1bb1in(A,B,C,D) -> evalDis1bb3in(A,B,C,1 + D) True evalDis1bb2in(A,B,C,D) -> evalDis1bb3in(A,1 + B,C,D) True evalDis1returnin(A,B,C,D) -> evalDis1stop(A,B,C,D) True Signature: {(evalDis1bb1in,4) ;(evalDis1bb2in,4) ;(evalDis1bb3in,4) ;(evalDis1bbin,4) ;(evalDis1entryin,4) ;(evalDis1returnin,4) ;(evalDis1start,4) ;(evalDis1stop,4)} Rule Graph: [0->{1},1->{2,3},2->{4,5},3->{8},4->{6},5->{7},6->{2,3},7->{2,3},8->{}] + Applied Processor: Decompose NoGreedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8] | `- p:[2,6,4,7,5] c: [4,6] | `- p:[2,7,5] c: [2,5,7] * Step 3: CloseWith YES + Considered Problem: (Rules: evalDis1start(A,B,C,D) -> evalDis1entryin(A,B,C,D) True evalDis1entryin(A,B,C,D) -> evalDis1bb3in(B,A,D,C) True evalDis1bb3in(A,B,C,D) -> evalDis1bbin(A,B,C,D) [A >= 1 + B] evalDis1bb3in(A,B,C,D) -> evalDis1returnin(A,B,C,D) [B >= A] evalDis1bbin(A,B,C,D) -> evalDis1bb1in(A,B,C,D) [C >= 1 + D] evalDis1bbin(A,B,C,D) -> evalDis1bb2in(A,B,C,D) [D >= C] evalDis1bb1in(A,B,C,D) -> evalDis1bb3in(A,B,C,1 + D) True evalDis1bb2in(A,B,C,D) -> evalDis1bb3in(A,1 + B,C,D) True evalDis1returnin(A,B,C,D) -> evalDis1stop(A,B,C,D) True Signature: {(evalDis1bb1in,4) ;(evalDis1bb2in,4) ;(evalDis1bb3in,4) ;(evalDis1bbin,4) ;(evalDis1entryin,4) ;(evalDis1returnin,4) ;(evalDis1start,4) ;(evalDis1stop,4)} Rule Graph: [0->{1},1->{2,3},2->{4,5},3->{8},4->{6},5->{7},6->{2,3},7->{2,3},8->{}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8] | `- p:[2,6,4,7,5] c: [4,6] | `- p:[2,7,5] c: [2,5,7]) + Applied Processor: CloseWith True + Details: () YES