MAYBE * Step 1: ArgumentFilter MAYBE + Considered Problem: Rules: 0. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f1(A,1 + B,D,O,D,P,B,H,I,J,K,L,M,N) [-2 + H >= 0 && -4 + B + H >= 0 && -2 + B >= 0 && A >= 1 + B && B >= 0] (?,1) 1. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f4(P,Q,R,U,T,F,G,O,S,V,W,C,M,N) [-2 + H >= 0 && -4 + B + H >= 0 && -2 + B >= 0 && B >= A && B >= 0 && Q >= O && O >= 2] (?,1) 2. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f4(R,S,Q,V,U,F,G,P,T,W,Y,0,O,N) [0 >= P && 0 >= X] (1,1) 3. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f1(P,2,R,Q,R,F,G,P,R,J,K,L,O,S) [P >= 2] (1,1) 4. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N) -> f4(P,Q,R,U,T,F,G,1,S,V,W,D,O,N) True (1,1) Signature: {(f1,14);(f3,14);(f4,14)} Flow Graph: [0->{0,1},1->{},2->{},3->{0,1},4->{}] + Applied Processor: ArgumentFilter [2,3,4,5,6,8,9,10,11,12,13] + Details: We remove following argument positions: [2,3,4,5,6,8,9,10,11,12,13]. * Step 2: FromIts MAYBE + Considered Problem: Rules: 0. f1(A,B,H) -> f1(A,1 + B,H) [-2 + H >= 0 && -4 + B + H >= 0 && -2 + B >= 0 && A >= 1 + B && B >= 0] (?,1) 1. f1(A,B,H) -> f4(P,Q,O) [-2 + H >= 0 && -4 + B + H >= 0 && -2 + B >= 0 && B >= A && B >= 0 && Q >= O && O >= 2] (?,1) 2. f3(A,B,H) -> f4(R,S,P) [0 >= P && 0 >= X] (1,1) 3. f3(A,B,H) -> f1(P,2,P) [P >= 2] (1,1) 4. f3(A,B,H) -> f4(P,Q,1) True (1,1) Signature: {(f1,14);(f3,14);(f4,14)} Flow Graph: [0->{0,1},1->{},2->{},3->{0,1},4->{}] + Applied Processor: FromIts + Details: () * Step 3: AddSinks MAYBE + Considered Problem: Rules: f1(A,B,H) -> f1(A,1 + B,H) [-2 + H >= 0 && -4 + B + H >= 0 && -2 + B >= 0 && A >= 1 + B && B >= 0] f1(A,B,H) -> f4(P,Q,O) [-2 + H >= 0 && -4 + B + H >= 0 && -2 + B >= 0 && B >= A && B >= 0 && Q >= O && O >= 2] f3(A,B,H) -> f4(R,S,P) [0 >= P && 0 >= X] f3(A,B,H) -> f1(P,2,P) [P >= 2] f3(A,B,H) -> f4(P,Q,1) True Signature: {(f1,14);(f3,14);(f4,14)} Rule Graph: [0->{0,1},1->{},2->{},3->{0,1},4->{}] + Applied Processor: AddSinks + Details: () * Step 4: Decompose MAYBE + Considered Problem: Rules: f1(A,B,H) -> f1(A,1 + B,H) [-2 + H >= 0 && -4 + B + H >= 0 && -2 + B >= 0 && A >= 1 + B && B >= 0] f1(A,B,H) -> f4(P,Q,O) [-2 + H >= 0 && -4 + B + H >= 0 && -2 + B >= 0 && B >= A && B >= 0 && Q >= O && O >= 2] f3(A,B,H) -> f4(R,S,P) [0 >= P && 0 >= X] f3(A,B,H) -> f1(P,2,P) [P >= 2] f3(A,B,H) -> f4(P,Q,1) True f4(A,B,H) -> exitus616(A,B,H) True f4(A,B,H) -> exitus616(A,B,H) True f4(A,B,H) -> exitus616(A,B,H) True Signature: {(exitus616,3);(f1,14);(f3,14);(f4,14)} Rule Graph: [0->{0,1},1->{6},2->{7},3->{0,1},4->{5}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7] | `- p:[0] c: [0] * Step 5: AbstractSize MAYBE + Considered Problem: (Rules: f1(A,B,H) -> f1(A,1 + B,H) [-2 + H >= 0 && -4 + B + H >= 0 && -2 + B >= 0 && A >= 1 + B && B >= 0] f1(A,B,H) -> f4(P,Q,O) [-2 + H >= 0 && -4 + B + H >= 0 && -2 + B >= 0 && B >= A && B >= 0 && Q >= O && O >= 2] f3(A,B,H) -> f4(R,S,P) [0 >= P && 0 >= X] f3(A,B,H) -> f1(P,2,P) [P >= 2] f3(A,B,H) -> f4(P,Q,1) True f4(A,B,H) -> exitus616(A,B,H) True f4(A,B,H) -> exitus616(A,B,H) True f4(A,B,H) -> exitus616(A,B,H) True Signature: {(exitus616,3);(f1,14);(f3,14);(f4,14)} Rule Graph: [0->{0,1},1->{6},2->{7},3->{0,1},4->{5}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7] | `- p:[0] c: [0]) + Applied Processor: AbstractSize Minimize + Details: () * Step 6: AbstractFlow MAYBE + Considered Problem: Program: Domain: [A,B,H,0.0] f1 ~> f1 [A <= A, B <= A, H <= H] f1 ~> f4 [A <= unknown, B <= unknown, H <= unknown] f3 ~> f4 [A <= unknown, B <= unknown, H <= unknown] f3 ~> f1 [A <= unknown, B <= 2*K, H <= unknown] f3 ~> f4 [A <= unknown, B <= unknown, H <= K] f4 ~> exitus616 [A <= A, B <= B, H <= H] f4 ~> exitus616 [A <= A, B <= B, H <= H] f4 ~> exitus616 [A <= A, B <= B, H <= H] + Loop: [0.0 <= K + A + B] f1 ~> f1 [A <= A, B <= A, H <= H] + Applied Processor: AbstractFlow + Details: () * Step 7: Failure MAYBE + Considered Problem: Program: Domain: [tick,huge,K,A,B,H,0.0] f1 ~> f1 [A ~=> B] f1 ~> f4 [huge ~=> A,huge ~=> B,huge ~=> H] f3 ~> f4 [huge ~=> A,huge ~=> B,huge ~=> H] f3 ~> f1 [K ~=> B,huge ~=> A,huge ~=> H] f3 ~> f4 [K ~=> H,huge ~=> A,huge ~=> B] f4 ~> exitus616 [] f4 ~> exitus616 [] f4 ~> exitus616 [] + Loop: [A ~+> 0.0,B ~+> 0.0,K ~+> 0.0] f1 ~> f1 [A ~=> B] + Applied Processor: Lare + Details: Unknown bound. MAYBE