YES * Step 1: FromIts YES + Considered Problem: Rules: 0. zip3(A,B,C) -> zip3(-1 + A,-1 + B,-1 + C) [A >= 1 && B >= 1 && C >= 1] (?,1) 1. start(A,B,C) -> zip3(A,B,C) True (1,1) Signature: {(start,3);(zip3,3)} Flow Graph: [0->{0},1->{0}] + Applied Processor: FromIts + Details: () * Step 2: Decompose YES + Considered Problem: Rules: zip3(A,B,C) -> zip3(-1 + A,-1 + B,-1 + C) [A >= 1 && B >= 1 && C >= 1] start(A,B,C) -> zip3(A,B,C) True Signature: {(start,3);(zip3,3)} Rule Graph: [0->{0},1->{0}] + Applied Processor: Decompose NoGreedy + Details: We construct a looptree: P: [0,1] | `- p:[0] c: [0] * Step 3: CloseWith YES + Considered Problem: (Rules: zip3(A,B,C) -> zip3(-1 + A,-1 + B,-1 + C) [A >= 1 && B >= 1 && C >= 1] start(A,B,C) -> zip3(A,B,C) True Signature: {(start,3);(zip3,3)} Rule Graph: [0->{0},1->{0}] ,We construct a looptree: P: [0,1] | `- p:[0] c: [0]) + Applied Processor: CloseWith True + Details: () YES