MAYBE * Step 1: UnsatPaths MAYBE + Considered Problem: Rules: 0. f300(A,B,C) -> f2(A,B,C) True (1,1) 1. f2(A,B,C) -> f1(A,0,D) [0 >= A] (?,1) 2. f2(A,B,C) -> f2(A,0,C) [A >= 1] (?,1) 3. f2(A,B,C) -> f1(-1 + A,D,E) [0 >= 1 + D && 1 >= A] (?,1) 4. f2(A,B,C) -> f1(-1 + A,D,E) [D >= 1 && 1 >= A] (?,1) 5. f2(A,B,C) -> f2(-1 + A,D,C) [0 >= 1 + D && A >= 2] (?,1) 6. f2(A,B,C) -> f2(-1 + A,D,C) [D >= 1 && A >= 2] (?,1) Signature: {(f1,3);(f2,3);(f300,3)} Flow Graph: [0->{1,2,3,4,5,6},1->{},2->{1,2,3,4,5,6},3->{},4->{},5->{1,2,3,4,5,6},6->{1,2,3,4,5,6}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(2,1),(5,1),(6,1)] * Step 2: TrivialSCCs MAYBE + Considered Problem: Rules: 0. f300(A,B,C) -> f2(A,B,C) True (1,1) 1. f2(A,B,C) -> f1(A,0,D) [0 >= A] (?,1) 2. f2(A,B,C) -> f2(A,0,C) [A >= 1] (?,1) 3. f2(A,B,C) -> f1(-1 + A,D,E) [0 >= 1 + D && 1 >= A] (?,1) 4. f2(A,B,C) -> f1(-1 + A,D,E) [D >= 1 && 1 >= A] (?,1) 5. f2(A,B,C) -> f2(-1 + A,D,C) [0 >= 1 + D && A >= 2] (?,1) 6. f2(A,B,C) -> f2(-1 + A,D,C) [D >= 1 && A >= 2] (?,1) Signature: {(f1,3);(f2,3);(f300,3)} Flow Graph: [0->{1,2,3,4,5,6},1->{},2->{2,3,4,5,6},3->{},4->{},5->{2,3,4,5,6},6->{2,3,4,5,6}] + Applied Processor: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 3: PolyRank MAYBE + Considered Problem: Rules: 0. f300(A,B,C) -> f2(A,B,C) True (1,1) 1. f2(A,B,C) -> f1(A,0,D) [0 >= A] (1,1) 2. f2(A,B,C) -> f2(A,0,C) [A >= 1] (?,1) 3. f2(A,B,C) -> f1(-1 + A,D,E) [0 >= 1 + D && 1 >= A] (1,1) 4. f2(A,B,C) -> f1(-1 + A,D,E) [D >= 1 && 1 >= A] (1,1) 5. f2(A,B,C) -> f2(-1 + A,D,C) [0 >= 1 + D && A >= 2] (?,1) 6. f2(A,B,C) -> f2(-1 + A,D,C) [D >= 1 && A >= 2] (?,1) Signature: {(f1,3);(f2,3);(f300,3)} Flow Graph: [0->{1,2,3,4,5,6},1->{},2->{2,3,4,5,6},3->{},4->{},5->{2,3,4,5,6},6->{2,3,4,5,6}] + Applied Processor: PolyRank {useFarkas = True, withSizebounds = [], shape = Linear} + Details: We apply a polynomial interpretation of shape linear: p(f1) = x1 p(f2) = x1 p(f300) = x1 Following rules are strictly oriented: [D >= 1 && A >= 2] ==> f2(A,B,C) = A > -1 + A = f2(-1 + A,D,C) Following rules are weakly oriented: True ==> f300(A,B,C) = A >= A = f2(A,B,C) [0 >= A] ==> f2(A,B,C) = A >= A = f1(A,0,D) [A >= 1] ==> f2(A,B,C) = A >= A = f2(A,0,C) [0 >= 1 + D && 1 >= A] ==> f2(A,B,C) = A >= -1 + A = f1(-1 + A,D,E) [D >= 1 && 1 >= A] ==> f2(A,B,C) = A >= -1 + A = f1(-1 + A,D,E) [0 >= 1 + D && A >= 2] ==> f2(A,B,C) = A >= -1 + A = f2(-1 + A,D,C) * Step 4: PolyRank MAYBE + Considered Problem: Rules: 0. f300(A,B,C) -> f2(A,B,C) True (1,1) 1. f2(A,B,C) -> f1(A,0,D) [0 >= A] (1,1) 2. f2(A,B,C) -> f2(A,0,C) [A >= 1] (?,1) 3. f2(A,B,C) -> f1(-1 + A,D,E) [0 >= 1 + D && 1 >= A] (1,1) 4. f2(A,B,C) -> f1(-1 + A,D,E) [D >= 1 && 1 >= A] (1,1) 5. f2(A,B,C) -> f2(-1 + A,D,C) [0 >= 1 + D && A >= 2] (?,1) 6. f2(A,B,C) -> f2(-1 + A,D,C) [D >= 1 && A >= 2] (A,1) Signature: {(f1,3);(f2,3);(f300,3)} Flow Graph: [0->{1,2,3,4,5,6},1->{},2->{2,3,4,5,6},3->{},4->{},5->{2,3,4,5,6},6->{2,3,4,5,6}] + Applied Processor: PolyRank {useFarkas = True, withSizebounds = [], shape = Linear} + Details: We apply a polynomial interpretation of shape linear: p(f1) = x1 p(f2) = x1 p(f300) = x1 Following rules are strictly oriented: [0 >= 1 + D && A >= 2] ==> f2(A,B,C) = A > -1 + A = f2(-1 + A,D,C) [D >= 1 && A >= 2] ==> f2(A,B,C) = A > -1 + A = f2(-1 + A,D,C) Following rules are weakly oriented: True ==> f300(A,B,C) = A >= A = f2(A,B,C) [0 >= A] ==> f2(A,B,C) = A >= A = f1(A,0,D) [A >= 1] ==> f2(A,B,C) = A >= A = f2(A,0,C) [0 >= 1 + D && 1 >= A] ==> f2(A,B,C) = A >= -1 + A = f1(-1 + A,D,E) [D >= 1 && 1 >= A] ==> f2(A,B,C) = A >= -1 + A = f1(-1 + A,D,E) * Step 5: Failure MAYBE + Considered Problem: Rules: 0. f300(A,B,C) -> f2(A,B,C) True (1,1) 1. f2(A,B,C) -> f1(A,0,D) [0 >= A] (1,1) 2. f2(A,B,C) -> f2(A,0,C) [A >= 1] (?,1) 3. f2(A,B,C) -> f1(-1 + A,D,E) [0 >= 1 + D && 1 >= A] (1,1) 4. f2(A,B,C) -> f1(-1 + A,D,E) [D >= 1 && 1 >= A] (1,1) 5. f2(A,B,C) -> f2(-1 + A,D,C) [0 >= 1 + D && A >= 2] (A,1) 6. f2(A,B,C) -> f2(-1 + A,D,C) [D >= 1 && A >= 2] (A,1) Signature: {(f1,3);(f2,3);(f300,3)} Flow Graph: [0->{1,2,3,4,5,6},1->{},2->{2,3,4,5,6},3->{},4->{},5->{2,3,4,5,6},6->{2,3,4,5,6}] + Applied Processor: Failing "Open problems left." + Details: Open problems left. MAYBE