MAYBE * Step 1: UnsatPaths MAYBE + Considered Problem: Rules: 0. f3(A) -> f3(-1 + A) [A >= 1] (?,1) 1. f3(A) -> f3(-1 + A) [0 >= A] (?,1) 2. f300(A) -> f3(A) True (1,1) Signature: {(f3,1);(f300,1)} Flow Graph: [0->{0,1},1->{0,1},2->{0,1}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(1,0)] * Step 2: PolyRank MAYBE + Considered Problem: Rules: 0. f3(A) -> f3(-1 + A) [A >= 1] (?,1) 1. f3(A) -> f3(-1 + A) [0 >= A] (?,1) 2. f300(A) -> f3(A) True (1,1) Signature: {(f3,1);(f300,1)} Flow Graph: [0->{0,1},1->{1},2->{0,1}] + Applied Processor: PolyRank {useFarkas = True, withSizebounds = [], shape = Linear} + Details: We apply a polynomial interpretation of shape linear: p(f3) = 1 + x1 p(f300) = 1 + x1 Following rules are strictly oriented: [A >= 1] ==> f3(A) = 1 + A > A = f3(-1 + A) Following rules are weakly oriented: [0 >= A] ==> f3(A) = 1 + A >= A = f3(-1 + A) True ==> f300(A) = 1 + A >= 1 + A = f3(A) * Step 3: Failure MAYBE + Considered Problem: Rules: 0. f3(A) -> f3(-1 + A) [A >= 1] (1 + A,1) 1. f3(A) -> f3(-1 + A) [0 >= A] (?,1) 2. f300(A) -> f3(A) True (1,1) Signature: {(f3,1);(f300,1)} Flow Graph: [0->{0,1},1->{1},2->{0,1}] + Applied Processor: Failing "Open problems left." + Details: Open problems left. MAYBE