YES * Step 1: FromIts YES + Considered Problem: Rules: 0. start(A,B,C,D,E,F) -> stop(A,B,C,D,E,F) [0 >= A && B = A && C = D && E = F] (?,1) 1. start(A,B,C,D,E,F) -> lbl71(A,-1 + B,-1 + C,D,1 + E,F) [A >= 1 && B = A && C = D && E = F] (?,1) 2. lbl71(A,B,C,D,E,F) -> stop(A,B,C,D,E,F) [D >= 1 + C && B = 0 && C + E = D + F && A + C = D] (?,1) 3. lbl71(A,B,C,D,E,F) -> lbl71(A,-1 + B,-1 + C,D,1 + E,F) [A + C >= 1 + D && D >= 1 + C && A + C >= D && C + E = D + F && B + D = A + C] (?,1) 4. start0(A,B,C,D,E,F) -> start(A,A,D,D,F,F) True (1,1) Signature: {(lbl71,6);(start,6);(start0,6);(stop,6)} Flow Graph: [0->{},1->{2,3},2->{},3->{2,3},4->{0,1}] + Applied Processor: FromIts + Details: () * Step 2: Decompose YES + Considered Problem: Rules: start(A,B,C,D,E,F) -> stop(A,B,C,D,E,F) [0 >= A && B = A && C = D && E = F] start(A,B,C,D,E,F) -> lbl71(A,-1 + B,-1 + C,D,1 + E,F) [A >= 1 && B = A && C = D && E = F] lbl71(A,B,C,D,E,F) -> stop(A,B,C,D,E,F) [D >= 1 + C && B = 0 && C + E = D + F && A + C = D] lbl71(A,B,C,D,E,F) -> lbl71(A,-1 + B,-1 + C,D,1 + E,F) [A + C >= 1 + D && D >= 1 + C && A + C >= D && C + E = D + F && B + D = A + C] start0(A,B,C,D,E,F) -> start(A,A,D,D,F,F) True Signature: {(lbl71,6);(start,6);(start0,6);(stop,6)} Rule Graph: [0->{},1->{2,3},2->{},3->{2,3},4->{0,1}] + Applied Processor: Decompose NoGreedy + Details: We construct a looptree: P: [0,1,2,3,4] | `- p:[3] c: [3] * Step 3: CloseWith YES + Considered Problem: (Rules: start(A,B,C,D,E,F) -> stop(A,B,C,D,E,F) [0 >= A && B = A && C = D && E = F] start(A,B,C,D,E,F) -> lbl71(A,-1 + B,-1 + C,D,1 + E,F) [A >= 1 && B = A && C = D && E = F] lbl71(A,B,C,D,E,F) -> stop(A,B,C,D,E,F) [D >= 1 + C && B = 0 && C + E = D + F && A + C = D] lbl71(A,B,C,D,E,F) -> lbl71(A,-1 + B,-1 + C,D,1 + E,F) [A + C >= 1 + D && D >= 1 + C && A + C >= D && C + E = D + F && B + D = A + C] start0(A,B,C,D,E,F) -> start(A,A,D,D,F,F) True Signature: {(lbl71,6);(start,6);(start0,6);(stop,6)} Rule Graph: [0->{},1->{2,3},2->{},3->{2,3},4->{0,1}] ,We construct a looptree: P: [0,1,2,3,4] | `- p:[3] c: [3]) + Applied Processor: CloseWith True + Details: () YES