MAYBE * Step 1: ArgumentFilter MAYBE + Considered Problem: Rules: 0. f1(A,B,C) -> f3(A,D,C) [499 + -1*C >= 0 && -1 + A + -1*C >= 0 && 999 + -1*A + -1*C >= 0 && 500 + -1*A >= 0 && A >= 500] (?,1) 1. f1(A,B,C) -> f1(1 + A,B,C) [499 + -1*C >= 0 && -1 + A + -1*C >= 0 && 999 + -1*A + -1*C >= 0 && 500 + -1*A >= 0 && 499 >= A] (?,1) 2. f2(A,B,C) -> f3(E,D,E) [E >= 500] (1,1) 3. f2(A,B,C) -> f1(1 + D,B,D) [499 >= D] (1,1) Signature: {(f1,3);(f2,3);(f3,3)} Flow Graph: [0->{},1->{0,1},2->{},3->{0,1}] + Applied Processor: ArgumentFilter [1] + Details: We remove following argument positions: [1]. * Step 2: FromIts MAYBE + Considered Problem: Rules: 0. f1(A,C) -> f3(A,C) [499 + -1*C >= 0 && -1 + A + -1*C >= 0 && 999 + -1*A + -1*C >= 0 && 500 + -1*A >= 0 && A >= 500] (?,1) 1. f1(A,C) -> f1(1 + A,C) [499 + -1*C >= 0 && -1 + A + -1*C >= 0 && 999 + -1*A + -1*C >= 0 && 500 + -1*A >= 0 && 499 >= A] (?,1) 2. f2(A,C) -> f3(E,E) [E >= 500] (1,1) 3. f2(A,C) -> f1(1 + D,D) [499 >= D] (1,1) Signature: {(f1,3);(f2,3);(f3,3)} Flow Graph: [0->{},1->{0,1},2->{},3->{0,1}] + Applied Processor: FromIts + Details: () * Step 3: AddSinks MAYBE + Considered Problem: Rules: f1(A,C) -> f3(A,C) [499 + -1*C >= 0 && -1 + A + -1*C >= 0 && 999 + -1*A + -1*C >= 0 && 500 + -1*A >= 0 && A >= 500] f1(A,C) -> f1(1 + A,C) [499 + -1*C >= 0 && -1 + A + -1*C >= 0 && 999 + -1*A + -1*C >= 0 && 500 + -1*A >= 0 && 499 >= A] f2(A,C) -> f3(E,E) [E >= 500] f2(A,C) -> f1(1 + D,D) [499 >= D] Signature: {(f1,3);(f2,3);(f3,3)} Rule Graph: [0->{},1->{0,1},2->{},3->{0,1}] + Applied Processor: AddSinks + Details: () * Step 4: Decompose MAYBE + Considered Problem: Rules: f1(A,C) -> f3(A,C) [499 + -1*C >= 0 && -1 + A + -1*C >= 0 && 999 + -1*A + -1*C >= 0 && 500 + -1*A >= 0 && A >= 500] f1(A,C) -> f1(1 + A,C) [499 + -1*C >= 0 && -1 + A + -1*C >= 0 && 999 + -1*A + -1*C >= 0 && 500 + -1*A >= 0 && 499 >= A] f2(A,C) -> f3(E,E) [E >= 500] f2(A,C) -> f1(1 + D,D) [499 >= D] f3(A,C) -> exitus616(A,C) True f3(A,C) -> exitus616(A,C) True Signature: {(exitus616,2);(f1,3);(f2,3);(f3,3)} Rule Graph: [0->{4},1->{0,1},2->{5},3->{0,1}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5] | `- p:[1] c: [1] * Step 5: AbstractSize MAYBE + Considered Problem: (Rules: f1(A,C) -> f3(A,C) [499 + -1*C >= 0 && -1 + A + -1*C >= 0 && 999 + -1*A + -1*C >= 0 && 500 + -1*A >= 0 && A >= 500] f1(A,C) -> f1(1 + A,C) [499 + -1*C >= 0 && -1 + A + -1*C >= 0 && 999 + -1*A + -1*C >= 0 && 500 + -1*A >= 0 && 499 >= A] f2(A,C) -> f3(E,E) [E >= 500] f2(A,C) -> f1(1 + D,D) [499 >= D] f3(A,C) -> exitus616(A,C) True f3(A,C) -> exitus616(A,C) True Signature: {(exitus616,2);(f1,3);(f2,3);(f3,3)} Rule Graph: [0->{4},1->{0,1},2->{5},3->{0,1}] ,We construct a looptree: P: [0,1,2,3,4,5] | `- p:[1] c: [1]) + Applied Processor: AbstractSize Minimize + Details: () * Step 6: AbstractFlow MAYBE + Considered Problem: Program: Domain: [A,C,0.0] f1 ~> f3 [A <= A, C <= C] f1 ~> f1 [A <= K + A, C <= C] f2 ~> f3 [A <= unknown, C <= unknown] f2 ~> f1 [A <= unknown, C <= unknown] f3 ~> exitus616 [A <= A, C <= C] f3 ~> exitus616 [A <= A, C <= C] + Loop: [0.0 <= 499*K + A] f1 ~> f1 [A <= K + A, C <= C] + Applied Processor: AbstractFlow + Details: () * Step 7: Failure MAYBE + Considered Problem: Program: Domain: [tick,huge,K,A,C,0.0] f1 ~> f3 [] f1 ~> f1 [A ~+> A,K ~+> A] f2 ~> f3 [huge ~=> A,huge ~=> C] f2 ~> f1 [huge ~=> A,huge ~=> C] f3 ~> exitus616 [] f3 ~> exitus616 [] + Loop: [A ~+> 0.0,K ~*> 0.0] f1 ~> f1 [A ~+> A,K ~+> A] + Applied Processor: Lare + Details: Unknown bound. MAYBE