MAYBE * Step 1: ArgumentFilter MAYBE + Considered Problem: Rules: 0. f1(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P) -> f1(A,1 + B,D,Q,D,R,B,H,I,J,K,L,M,N,O,P) [-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,O,P) -> f4(R,S,U,X,W,F,G,Q,T,V,Y,Z,C,N,O,P) [-2 + H >= 0 && -4 + B + H >= 0 && -2 + B >= 0 && B >= A && B >= 0 && S >= Q && Q >= 2] (?,1) 2. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P) -> f4(T,V,S,Y,X,F,G,R,U,W,Z,B1,O,Q,O,P) [0 >= R && 0 >= A1] (1,1) 3. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P) -> f1(R,2,U,S,U,F,G,R,T,U,K,L,M,Q,T,V) [R >= 2] (1,1) 4. f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P) -> f4(R,S,U,Y,X,F,G,1,T,W,Z,B1,D,Q,V,P) True (1,1) Signature: {(f1,16);(f3,16);(f4,16)} Flow Graph: [0->{0,1},1->{},2->{},3->{0,1},4->{}] + Applied Processor: ArgumentFilter [2,3,4,5,6,8,9,10,11,12,13,14,15] + Details: We remove following argument positions: [2,3,4,5,6,8,9,10,11,12,13,14,15]. * Step 2: TrivialSCCs 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(R,S,Q) [-2 + H >= 0 && -4 + B + H >= 0 && -2 + B >= 0 && B >= A && B >= 0 && S >= Q && Q >= 2] (?,1) 2. f3(A,B,H) -> f4(T,V,R) [0 >= R && 0 >= A1] (1,1) 3. f3(A,B,H) -> f1(R,2,R) [R >= 2] (1,1) 4. f3(A,B,H) -> f4(R,S,1) True (1,1) Signature: {(f1,16);(f3,16);(f4,16)} Flow Graph: [0->{0,1},1->{},2->{},3->{0,1},4->{}] + Applied Processor: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 3: AddSinks 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(R,S,Q) [-2 + H >= 0 && -4 + B + H >= 0 && -2 + B >= 0 && B >= A && B >= 0 && S >= Q && Q >= 2] (1,1) 2. f3(A,B,H) -> f4(T,V,R) [0 >= R && 0 >= A1] (1,1) 3. f3(A,B,H) -> f1(R,2,R) [R >= 2] (1,1) 4. f3(A,B,H) -> f4(R,S,1) True (1,1) Signature: {(f1,16);(f3,16);(f4,16)} Flow Graph: [0->{0,1},1->{},2->{},3->{0,1},4->{}] + Applied Processor: AddSinks + Details: () * Step 4: LooptreeTransformer 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(R,S,Q) [-2 + H >= 0 && -4 + B + H >= 0 && -2 + B >= 0 && B >= A && B >= 0 && S >= Q && Q >= 2] (?,1) 2. f3(A,B,H) -> f4(T,V,R) [0 >= R && 0 >= A1] (1,1) 3. f3(A,B,H) -> f1(R,2,R) [R >= 2] (1,1) 4. f3(A,B,H) -> f4(R,S,1) True (1,1) 5. f3(A,B,H) -> exitus616(A,B,H) True (1,1) 6. f1(A,B,H) -> exitus616(A,B,H) True (?,1) Signature: {(exitus616,3);(f1,16);(f3,16);(f4,16)} Flow Graph: [0->{0,1,6},1->{},2->{},3->{0,1,6},4->{},5->{},6->{}] + Applied Processor: LooptreeTransformer + Details: We construct a looptree: P: [0,1,2,3,4,5,6] | `- p:[0] c: [0] * Step 5: SizeAbstraction 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(R,S,Q) [-2 + H >= 0 && -4 + B + H >= 0 && -2 + B >= 0 && B >= A && B >= 0 && S >= Q && Q >= 2] (?,1) 2. f3(A,B,H) -> f4(T,V,R) [0 >= R && 0 >= A1] (1,1) 3. f3(A,B,H) -> f1(R,2,R) [R >= 2] (1,1) 4. f3(A,B,H) -> f4(R,S,1) True (1,1) 5. f3(A,B,H) -> exitus616(A,B,H) True (1,1) 6. f1(A,B,H) -> exitus616(A,B,H) True (?,1) Signature: {(exitus616,3);(f1,16);(f3,16);(f4,16)} Flow Graph: [0->{0,1,6},1->{},2->{},3->{0,1,6},4->{},5->{},6->{}] ,We construct a looptree: P: [0,1,2,3,4,5,6] | `- p:[0] c: [0]) + Applied Processor: SizeAbstraction UseCFG Minimize + Details: () * Step 6: FlowAbstraction 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] f3 ~> exitus616 [A <= A, B <= B, H <= H] f1 ~> exitus616 [A <= A, B <= B, H <= H] + Loop: [0.0 <= A + B] f1 ~> f1 [A <= A, B <= A, H <= H] + Applied Processor: FlowAbstraction + 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] f3 ~> exitus616 [] f1 ~> exitus616 [] + Loop: [A ~+> 0.0,B ~+> 0.0] f1 ~> f1 [A ~=> B] + Applied Processor: LareProcessor + Details: Unknown bound. MAYBE