WORST_CASE(?, O(n^2)) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_1, 0)) [ Ar_0 > 0 ] (Comp: ?, Cost: 1) eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 <= 0 ] (Comp: ?, Cost: 1) eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > 0 ] (Comp: ?, Cost: 1) eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ] (Comp: ?, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 < Ar_0 ] (Comp: ?, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_3 >= Ar_0 ] (Comp: ?, Cost: 1) eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2 - 1, Ar_3 + 1)) (Comp: ?, Cost: 1) eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 1 produces the following problem: 2: T: (Comp: 1, Cost: 1) eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_1, 0)) [ Ar_0 > 0 ] (Comp: 1, Cost: 1) eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 <= 0 ] (Comp: ?, Cost: 1) eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > 0 ] (Comp: ?, Cost: 1) eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ] (Comp: ?, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 < Ar_0 ] (Comp: ?, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_3 >= Ar_0 ] (Comp: ?, Cost: 1) eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2 - 1, Ar_3 + 1)) (Comp: ?, Cost: 1) eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(eval_start_start) = 2 Pol(eval_start_bb0_in) = 2 Pol(eval_start_0) = 2 Pol(eval_start_1) = 2 Pol(eval_start_2) = 2 Pol(eval_start_3) = 2 Pol(eval_start_4) = 2 Pol(eval_start_bb1_in) = 2 Pol(eval_start_bb5_in) = 0 Pol(eval_start_bb2_in) = 2 Pol(eval_start_bb4_in) = 1 Pol(eval_start_bb3_in) = 2 Pol(eval_start_stop) = 0 Pol(eval_start_8) = 0 Pol(eval_start_9) = 0 Pol(koat_start) = 2 orients all transitions weakly and the transitions eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ] strictly and produces the following problem: 3: T: (Comp: 1, Cost: 1) eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_1, 0)) [ Ar_0 > 0 ] (Comp: 1, Cost: 1) eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 <= 0 ] (Comp: ?, Cost: 1) eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > 0 ] (Comp: 2, Cost: 1) eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ] (Comp: ?, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 < Ar_0 ] (Comp: ?, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_3 >= Ar_0 ] (Comp: ?, Cost: 1) eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2 - 1, Ar_3 + 1)) (Comp: 2, Cost: 1) eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Applied AI with 'oct' on problem 3 to obtain the following invariants: For symbol eval_start_8: -X_1 >= 0 For symbol eval_start_9: -X_1 >= 0 For symbol eval_start_bb1_in: X_4 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ X_2 - X_3 >= 0 /\ X_1 - 1 >= 0 For symbol eval_start_bb2_in: X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ X_2 - X_3 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ X_1 - 1 >= 0 For symbol eval_start_bb3_in: X_1 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ X_2 - X_3 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ X_1 - 1 >= 0 For symbol eval_start_bb4_in: X_4 >= 0 /\ -X_3 + X_4 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_3 >= 0 /\ X_2 - X_3 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_1 - 1 >= 0 For symbol eval_start_bb5_in: -X_1 >= 0 This yielded the following problem: 4: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 1, Cost: 1) eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 >= 0 ] (Comp: 1, Cost: 1) eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 >= 0 ] (Comp: 1, Cost: 1) eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 >= 0 ] (Comp: 2, Cost: 1) eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: ?, Cost: 1) eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2 - 1, Ar_3 + 1)) [ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: ?, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 >= Ar_0 ] (Comp: ?, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 < Ar_0 ] (Comp: 2, Cost: 1) eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 <= 0 ] (Comp: ?, Cost: 1) eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 > 0 ] (Comp: 1, Cost: 1) eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 <= 0 ] (Comp: 1, Cost: 1) eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_1, 0)) [ Ar_0 > 0 ] (Comp: 1, Cost: 1) eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) start location: koat_start leaf cost: 0 A polynomial rank function with Pol(eval_start_bb3_in) = 5*V_3 + 2*V_4 - 1 Pol(eval_start_bb1_in) = 5*V_3 + 2*V_4 + 1 Pol(eval_start_bb2_in) = 5*V_3 + 2*V_4 and size complexities S("eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_1, 0)) [ Ar_0 > 0 ]", 0-0) = Ar_0 S("eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_1, 0)) [ Ar_0 > 0 ]", 0-1) = Ar_1 S("eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_1, 0)) [ Ar_0 > 0 ]", 0-2) = Ar_1 S("eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_1, 0)) [ Ar_0 > 0 ]", 0-3) = 0 S("eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 <= 0 ]", 0-0) = Ar_0 S("eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 <= 0 ]", 0-1) = Ar_1 S("eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 <= 0 ]", 0-2) = Ar_2 S("eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 <= 0 ]", 0-3) = Ar_3 S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 > 0 ]", 0-0) = Ar_0 S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 > 0 ]", 0-1) = Ar_1 S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 > 0 ]", 0-2) = Ar_1 S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 > 0 ]", 0-3) = Ar_0 S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 <= 0 ]", 0-0) = Ar_0 S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 <= 0 ]", 0-1) = Ar_1 S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 <= 0 ]", 0-2) = Ar_1 S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 <= 0 ]", 0-3) = Ar_0 S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 < Ar_0 ]", 0-0) = Ar_0 S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 < Ar_0 ]", 0-1) = Ar_1 S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 < Ar_0 ]", 0-2) = Ar_1 S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 < Ar_0 ]", 0-3) = Ar_0 S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 >= Ar_0 ]", 0-0) = Ar_0 S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 >= Ar_0 ]", 0-1) = Ar_1 S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 >= Ar_0 ]", 0-2) = Ar_1 S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 >= Ar_0 ]", 0-3) = 0 S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2 - 1, Ar_3 + 1)) [ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-0) = Ar_0 S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2 - 1, Ar_3 + 1)) [ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-1) = Ar_1 S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2 - 1, Ar_3 + 1)) [ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-2) = Ar_1 S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2 - 1, Ar_3 + 1)) [ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-3) = Ar_0 S("eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ -Ar_2 + Ar_3 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ -Ar_2 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-0) = Ar_0 S("eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ -Ar_2 + Ar_3 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ -Ar_2 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-1) = Ar_1 S("eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ -Ar_2 + Ar_3 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ -Ar_2 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-2) = Ar_1 S("eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ -Ar_2 + Ar_3 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ -Ar_2 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-3) = Ar_0 S("eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 >= 0 ]", 0-0) = Ar_0 S("eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 >= 0 ]", 0-1) = Ar_1 S("eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 >= 0 ]", 0-2) = Ar_2 S("eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 >= 0 ]", 0-3) = Ar_3 S("eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 >= 0 ]", 0-0) = Ar_0 S("eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 >= 0 ]", 0-1) = Ar_1 S("eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 >= 0 ]", 0-2) = Ar_2 S("eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 >= 0 ]", 0-3) = Ar_3 S("eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 >= 0 ]", 0-0) = Ar_0 S("eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 >= 0 ]", 0-1) = Ar_1 S("eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 >= 0 ]", 0-2) = Ar_2 S("eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 >= 0 ]", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3 orients the transitions eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2 - 1, Ar_3 + 1)) [ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 ] eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 < Ar_0 ] eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 >= Ar_0 ] eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 > 0 ] weakly and the transition eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 >= Ar_0 ] strictly and produces the following problem: 5: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 1, Cost: 1) eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 >= 0 ] (Comp: 1, Cost: 1) eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 >= 0 ] (Comp: 1, Cost: 1) eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 >= 0 ] (Comp: 2, Cost: 1) eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: ?, Cost: 1) eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2 - 1, Ar_3 + 1)) [ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: 5*Ar_1 + 1, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 >= Ar_0 ] (Comp: ?, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 < Ar_0 ] (Comp: 2, Cost: 1) eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 <= 0 ] (Comp: ?, Cost: 1) eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 > 0 ] (Comp: 1, Cost: 1) eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 <= 0 ] (Comp: 1, Cost: 1) eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_1, 0)) [ Ar_0 > 0 ] (Comp: 1, Cost: 1) eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) start location: koat_start leaf cost: 0 A polynomial rank function with Pol(eval_start_bb3_in) = 3*V_3 - 2 Pol(eval_start_bb1_in) = 3*V_3 Pol(eval_start_bb2_in) = 3*V_3 - 1 and size complexities S("eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_1, 0)) [ Ar_0 > 0 ]", 0-0) = Ar_0 S("eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_1, 0)) [ Ar_0 > 0 ]", 0-1) = Ar_1 S("eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_1, 0)) [ Ar_0 > 0 ]", 0-2) = Ar_1 S("eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_1, 0)) [ Ar_0 > 0 ]", 0-3) = 0 S("eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 <= 0 ]", 0-0) = Ar_0 S("eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 <= 0 ]", 0-1) = Ar_1 S("eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 <= 0 ]", 0-2) = Ar_2 S("eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 <= 0 ]", 0-3) = Ar_3 S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 > 0 ]", 0-0) = Ar_0 S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 > 0 ]", 0-1) = Ar_1 S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 > 0 ]", 0-2) = Ar_1 S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 > 0 ]", 0-3) = Ar_0 S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 <= 0 ]", 0-0) = Ar_0 S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 <= 0 ]", 0-1) = Ar_1 S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 <= 0 ]", 0-2) = Ar_1 S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 <= 0 ]", 0-3) = Ar_0 S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 < Ar_0 ]", 0-0) = Ar_0 S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 < Ar_0 ]", 0-1) = Ar_1 S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 < Ar_0 ]", 0-2) = Ar_1 S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 < Ar_0 ]", 0-3) = Ar_0 S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 >= Ar_0 ]", 0-0) = Ar_0 S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 >= Ar_0 ]", 0-1) = Ar_1 S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 >= Ar_0 ]", 0-2) = Ar_1 S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_3 >= Ar_0 ]", 0-3) = 0 S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2 - 1, Ar_3 + 1)) [ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-0) = Ar_0 S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2 - 1, Ar_3 + 1)) [ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-1) = Ar_1 S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2 - 1, Ar_3 + 1)) [ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-2) = Ar_1 S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2 - 1, Ar_3 + 1)) [ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-3) = Ar_0 S("eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ -Ar_2 + Ar_3 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ -Ar_2 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-0) = Ar_0 S("eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ -Ar_2 + Ar_3 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ -Ar_2 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-1) = Ar_1 S("eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ -Ar_2 + Ar_3 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ -Ar_2 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-2) = Ar_1 S("eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\\ -Ar_2 + Ar_3 >= 0 /\\ Ar_0 + Ar_3 - 1 >= 0 /\\ -Ar_2 >= 0 /\\ Ar_1 - Ar_2 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-3) = Ar_0 S("eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 >= 0 ]", 0-0) = Ar_0 S("eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 >= 0 ]", 0-1) = Ar_1 S("eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 >= 0 ]", 0-2) = Ar_2 S("eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 >= 0 ]", 0-3) = Ar_3 S("eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 >= 0 ]", 0-0) = Ar_0 S("eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 >= 0 ]", 0-1) = Ar_1 S("eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 >= 0 ]", 0-2) = Ar_2 S("eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 >= 0 ]", 0-3) = Ar_3 S("eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 >= 0 ]", 0-0) = Ar_0 S("eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 >= 0 ]", 0-1) = Ar_1 S("eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 >= 0 ]", 0-2) = Ar_2 S("eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 >= 0 ]", 0-3) = Ar_3 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-0) = Ar_0 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-1) = Ar_1 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-2) = Ar_2 S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3 orients the transitions eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2 - 1, Ar_3 + 1)) [ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 ] eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 < Ar_0 ] eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 > 0 ] weakly and the transitions eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2 - 1, Ar_3 + 1)) [ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 ] eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 < Ar_0 ] eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 > 0 ] strictly and produces the following problem: 6: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] (Comp: 1, Cost: 1) eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 >= 0 ] (Comp: 1, Cost: 1) eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 >= 0 ] (Comp: 1, Cost: 1) eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3)) [ -Ar_0 >= 0 ] (Comp: 2, Cost: 1) eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: 6*Ar_1 + 15*Ar_1^2, Cost: 1) eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2 - 1, Ar_3 + 1)) [ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: 5*Ar_1 + 1, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 >= Ar_0 ] (Comp: 6*Ar_1 + 15*Ar_1^2, Cost: 1) eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 < Ar_0 ] (Comp: 2, Cost: 1) eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 <= 0 ] (Comp: 6*Ar_1 + 15*Ar_1^2, Cost: 1) eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 > 0 ] (Comp: 1, Cost: 1) eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 <= 0 ] (Comp: 1, Cost: 1) eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_1, 0)) [ Ar_0 > 0 ] (Comp: 1, Cost: 1) eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) start location: koat_start leaf cost: 0 Complexity upper bound 23*Ar_1 + 45*Ar_1^2 + 16 Time: 3.078 sec (SMT: 2.939 sec)