WORST_CASE(?, O(n^1)) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) eval_ex1_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) eval_ex1_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) eval_ex1_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) eval_ex1_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) eval_ex1_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) eval_ex1_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) eval_ex1_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) eval_ex1_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) eval_ex1_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb1_in(Ar_0, Ar_1, 0, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) eval_ex1_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 < Ar_5 ] (Comp: ?, Cost: 1) eval_ex1_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 >= Ar_5 ] (Comp: ?, Cost: 1) eval_ex1_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb3_in(Ar_0, Ar_1, Ar_2, Ar_2 + 1, 0, Ar_5)) (Comp: ?, Cost: 1) eval_ex1_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_3 < Ar_5 ] (Comp: ?, Cost: 1) eval_ex1_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_3 >= Ar_5 ] (Comp: ?, Cost: 1) eval_ex1_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) eval_ex1_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_10(Fresh_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) eval_ex1_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 > 0 ] (Comp: ?, Cost: 1) eval_ex1_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 <= 0 ] (Comp: ?, Cost: 1) eval_ex1_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4 + 1, Ar_5)) (Comp: ?, Cost: 1) eval_ex1__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_15(Ar_0, Ar_3 - 1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) eval_ex1_15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) eval_ex1_16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb1_in(Ar_0, Ar_1, Ar_1, Ar_3, Ar_4, Ar_5)) [ Ar_4 > 0 ] (Comp: ?, Cost: 1) eval_ex1_16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb1_in(Ar_0, Ar_1, Ar_3, Ar_3, Ar_4, Ar_5)) [ Ar_4 <= 0 ] (Comp: ?, Cost: 1) eval_ex1_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 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_ex1_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb1_in(Ar_0, Ar_1, 0, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) eval_ex1_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 < Ar_5 ] (Comp: ?, Cost: 1) eval_ex1_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 >= Ar_5 ] (Comp: ?, Cost: 1) eval_ex1_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb3_in(Ar_0, Ar_1, Ar_2, Ar_2 + 1, 0, Ar_5)) (Comp: ?, Cost: 1) eval_ex1_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_3 < Ar_5 ] (Comp: ?, Cost: 1) eval_ex1_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_3 >= Ar_5 ] (Comp: ?, Cost: 1) eval_ex1_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) eval_ex1_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_10(Fresh_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) eval_ex1_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 > 0 ] (Comp: ?, Cost: 1) eval_ex1_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 <= 0 ] (Comp: ?, Cost: 1) eval_ex1_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4 + 1, Ar_5)) (Comp: ?, Cost: 1) eval_ex1__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_15(Ar_0, Ar_3 - 1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) eval_ex1_15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) eval_ex1_16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb1_in(Ar_0, Ar_1, Ar_1, Ar_3, Ar_4, Ar_5)) [ Ar_4 > 0 ] (Comp: ?, Cost: 1) eval_ex1_16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb1_in(Ar_0, Ar_1, Ar_3, Ar_3, Ar_4, Ar_5)) [ Ar_4 <= 0 ] (Comp: ?, Cost: 1) eval_ex1_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(eval_ex1_start) = 2 Pol(eval_ex1_bb0_in) = 2 Pol(eval_ex1_0) = 2 Pol(eval_ex1_1) = 2 Pol(eval_ex1_2) = 2 Pol(eval_ex1_3) = 2 Pol(eval_ex1_4) = 2 Pol(eval_ex1_5) = 2 Pol(eval_ex1_6) = 2 Pol(eval_ex1_bb1_in) = 2 Pol(eval_ex1_bb2_in) = 2 Pol(eval_ex1_bb6_in) = 1 Pol(eval_ex1_bb3_in) = 2 Pol(eval_ex1_bb4_in) = 2 Pol(eval_ex1__critedge_in) = 2 Pol(eval_ex1_9) = 2 Pol(eval_ex1_10) = 2 Pol(eval_ex1_bb5_in) = 2 Pol(eval_ex1_15) = 2 Pol(eval_ex1_16) = 2 Pol(eval_ex1_stop) = 0 Pol(koat_start) = 2 orients all transitions weakly and the transitions eval_ex1_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) eval_ex1_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 >= Ar_5 ] strictly and produces the following problem: 3: T: (Comp: 1, Cost: 1) eval_ex1_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb1_in(Ar_0, Ar_1, 0, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) eval_ex1_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 < Ar_5 ] (Comp: 2, Cost: 1) eval_ex1_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 >= Ar_5 ] (Comp: ?, Cost: 1) eval_ex1_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb3_in(Ar_0, Ar_1, Ar_2, Ar_2 + 1, 0, Ar_5)) (Comp: ?, Cost: 1) eval_ex1_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_3 < Ar_5 ] (Comp: ?, Cost: 1) eval_ex1_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_3 >= Ar_5 ] (Comp: ?, Cost: 1) eval_ex1_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) eval_ex1_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_10(Fresh_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) eval_ex1_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 > 0 ] (Comp: ?, Cost: 1) eval_ex1_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_0 <= 0 ] (Comp: ?, Cost: 1) eval_ex1_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4 + 1, Ar_5)) (Comp: ?, Cost: 1) eval_ex1__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_15(Ar_0, Ar_3 - 1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) eval_ex1_15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: ?, Cost: 1) eval_ex1_16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb1_in(Ar_0, Ar_1, Ar_1, Ar_3, Ar_4, Ar_5)) [ Ar_4 > 0 ] (Comp: ?, Cost: 1) eval_ex1_16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb1_in(Ar_0, Ar_1, Ar_3, Ar_3, Ar_4, Ar_5)) [ Ar_4 <= 0 ] (Comp: 2, Cost: 1) eval_ex1_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Applied AI with 'oct' on problem 3 to obtain the following invariants: For symbol eval_ex1_10: X_6 - 2 >= 0 /\ X_5 + X_6 - 2 >= 0 /\ -X_5 + X_6 - 2 >= 0 /\ X_4 + X_6 - 3 >= 0 /\ -X_4 + X_6 - 1 >= 0 /\ X_3 + X_6 - 2 >= 0 /\ -X_3 + X_6 - 2 >= 0 /\ X_4 - X_5 - 1 >= 0 /\ X_5 >= 0 /\ X_4 + X_5 - 1 >= 0 /\ X_3 + X_5 >= 0 /\ X_4 - 1 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ -X_3 + X_4 - 1 >= 0 /\ X_3 >= 0 For symbol eval_ex1_15: X_6 - 1 >= 0 /\ X_5 + X_6 - 1 >= 0 /\ -X_5 + X_6 - 1 >= 0 /\ X_4 + X_6 - 2 >= 0 /\ -X_4 + X_6 >= 0 /\ X_3 + X_6 - 1 >= 0 /\ -X_3 + X_6 - 1 >= 0 /\ X_2 + X_6 - 1 >= 0 /\ -X_2 + X_6 - 1 >= 0 /\ X_4 - X_5 - 1 >= 0 /\ X_2 - X_5 >= 0 /\ X_5 >= 0 /\ X_4 + X_5 - 1 >= 0 /\ X_3 + X_5 >= 0 /\ X_2 + X_5 >= 0 /\ X_2 - X_4 + 1 >= 0 /\ X_4 - 1 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ -X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ -X_2 + X_4 - 1 >= 0 /\ X_2 - X_3 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_2 >= 0 For symbol eval_ex1_16: X_6 - 1 >= 0 /\ X_5 + X_6 - 1 >= 0 /\ -X_5 + X_6 - 1 >= 0 /\ X_4 + X_6 - 2 >= 0 /\ -X_4 + X_6 >= 0 /\ X_3 + X_6 - 1 >= 0 /\ -X_3 + X_6 - 1 >= 0 /\ X_2 + X_6 - 1 >= 0 /\ -X_2 + X_6 - 1 >= 0 /\ X_4 - X_5 - 1 >= 0 /\ X_2 - X_5 >= 0 /\ X_5 >= 0 /\ X_4 + X_5 - 1 >= 0 /\ X_3 + X_5 >= 0 /\ X_2 + X_5 >= 0 /\ X_2 - X_4 + 1 >= 0 /\ X_4 - 1 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ -X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ -X_2 + X_4 - 1 >= 0 /\ X_2 - X_3 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_2 >= 0 For symbol eval_ex1_9: X_6 - 2 >= 0 /\ X_5 + X_6 - 2 >= 0 /\ -X_5 + X_6 - 2 >= 0 /\ X_4 + X_6 - 3 >= 0 /\ -X_4 + X_6 - 1 >= 0 /\ X_3 + X_6 - 2 >= 0 /\ -X_3 + X_6 - 2 >= 0 /\ X_4 - X_5 - 1 >= 0 /\ X_5 >= 0 /\ X_4 + X_5 - 1 >= 0 /\ X_3 + X_5 >= 0 /\ X_4 - 1 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ -X_3 + X_4 - 1 >= 0 /\ X_3 >= 0 For symbol eval_ex1__critedge_in: X_6 - 1 >= 0 /\ X_5 + X_6 - 1 >= 0 /\ -X_5 + X_6 - 1 >= 0 /\ X_4 + X_6 - 2 >= 0 /\ -X_4 + X_6 >= 0 /\ X_3 + X_6 - 1 >= 0 /\ -X_3 + X_6 - 1 >= 0 /\ X_4 - X_5 - 1 >= 0 /\ X_5 >= 0 /\ X_4 + X_5 - 1 >= 0 /\ X_3 + X_5 >= 0 /\ X_4 - 1 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ -X_3 + X_4 - 1 >= 0 /\ X_3 >= 0 For symbol eval_ex1_bb1_in: X_3 >= 0 For symbol eval_ex1_bb2_in: X_6 - 1 >= 0 /\ X_3 + X_6 - 1 >= 0 /\ -X_3 + X_6 - 1 >= 0 /\ X_3 >= 0 For symbol eval_ex1_bb3_in: X_6 - 1 >= 0 /\ X_5 + X_6 - 1 >= 0 /\ -X_5 + X_6 - 1 >= 0 /\ X_4 + X_6 - 2 >= 0 /\ -X_4 + X_6 >= 0 /\ X_3 + X_6 - 1 >= 0 /\ -X_3 + X_6 - 1 >= 0 /\ X_4 - X_5 - 1 >= 0 /\ X_5 >= 0 /\ X_4 + X_5 - 1 >= 0 /\ X_3 + X_5 >= 0 /\ X_4 - 1 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ -X_3 + X_4 - 1 >= 0 /\ X_3 >= 0 For symbol eval_ex1_bb4_in: X_6 - 2 >= 0 /\ X_5 + X_6 - 2 >= 0 /\ -X_5 + X_6 - 2 >= 0 /\ X_4 + X_6 - 3 >= 0 /\ -X_4 + X_6 - 1 >= 0 /\ X_3 + X_6 - 2 >= 0 /\ -X_3 + X_6 - 2 >= 0 /\ X_4 - X_5 - 1 >= 0 /\ X_5 >= 0 /\ X_4 + X_5 - 1 >= 0 /\ X_3 + X_5 >= 0 /\ X_4 - 1 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ -X_3 + X_4 - 1 >= 0 /\ X_3 >= 0 For symbol eval_ex1_bb5_in: X_6 - 2 >= 0 /\ X_5 + X_6 - 2 >= 0 /\ -X_5 + X_6 - 2 >= 0 /\ X_4 + X_6 - 3 >= 0 /\ -X_4 + X_6 - 1 >= 0 /\ X_3 + X_6 - 2 >= 0 /\ -X_3 + X_6 - 2 >= 0 /\ X_1 + X_6 - 3 >= 0 /\ X_4 - X_5 - 1 >= 0 /\ X_5 >= 0 /\ X_4 + X_5 - 1 >= 0 /\ X_3 + X_5 >= 0 /\ X_1 + X_5 - 1 >= 0 /\ X_4 - 1 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ -X_3 + X_4 - 1 >= 0 /\ X_1 + X_4 - 2 >= 0 /\ X_3 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_1 - 1 >= 0 For symbol eval_ex1_bb6_in: X_3 - X_6 >= 0 /\ X_3 >= 0 This yielded the following problem: 4: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ] (Comp: 2, Cost: 1) eval_ex1_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 - Ar_5 >= 0 /\ Ar_2 >= 0 ] (Comp: ?, Cost: 1) eval_ex1_16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb1_in(Ar_0, Ar_1, Ar_3, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ -Ar_4 + Ar_5 - 1 >= 0 /\ Ar_3 + Ar_5 - 2 >= 0 /\ -Ar_3 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 1 >= 0 /\ -Ar_2 + Ar_5 - 1 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ -Ar_1 + Ar_5 - 1 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_1 - Ar_3 + 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_1 >= 0 /\ Ar_4 <= 0 ] (Comp: ?, Cost: 1) eval_ex1_16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb1_in(Ar_0, Ar_1, Ar_1, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ -Ar_4 + Ar_5 - 1 >= 0 /\ Ar_3 + Ar_5 - 2 >= 0 /\ -Ar_3 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 1 >= 0 /\ -Ar_2 + Ar_5 - 1 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ -Ar_1 + Ar_5 - 1 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_1 - Ar_3 + 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_1 >= 0 /\ Ar_4 > 0 ] (Comp: ?, Cost: 1) eval_ex1_15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ -Ar_4 + Ar_5 - 1 >= 0 /\ Ar_3 + Ar_5 - 2 >= 0 /\ -Ar_3 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 1 >= 0 /\ -Ar_2 + Ar_5 - 1 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ -Ar_1 + Ar_5 - 1 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_1 - Ar_3 + 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_1 >= 0 ] (Comp: ?, Cost: 1) eval_ex1__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_15(Ar_0, Ar_3 - 1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ -Ar_4 + Ar_5 - 1 >= 0 /\ Ar_3 + Ar_5 - 2 >= 0 /\ -Ar_3 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 1 >= 0 /\ -Ar_2 + Ar_5 - 1 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 ] (Comp: ?, Cost: 1) eval_ex1_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4 + 1, Ar_5)) [ Ar_5 - 2 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 - 2 >= 0 /\ Ar_3 + Ar_5 - 3 >= 0 /\ -Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ -Ar_2 + Ar_5 - 2 >= 0 /\ Ar_0 + Ar_5 - 3 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: ?, Cost: 1) eval_ex1_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 2 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 - 2 >= 0 /\ Ar_3 + Ar_5 - 3 >= 0 /\ -Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ -Ar_2 + Ar_5 - 2 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_0 <= 0 ] (Comp: ?, Cost: 1) eval_ex1_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 2 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 - 2 >= 0 /\ Ar_3 + Ar_5 - 3 >= 0 /\ -Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ -Ar_2 + Ar_5 - 2 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_0 > 0 ] (Comp: ?, Cost: 1) eval_ex1_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_10(Fresh_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 2 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 - 2 >= 0 /\ Ar_3 + Ar_5 - 3 >= 0 /\ -Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ -Ar_2 + Ar_5 - 2 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 ] (Comp: ?, Cost: 1) eval_ex1_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 2 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 - 2 >= 0 /\ Ar_3 + Ar_5 - 3 >= 0 /\ -Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ -Ar_2 + Ar_5 - 2 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 ] (Comp: ?, Cost: 1) eval_ex1_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ -Ar_4 + Ar_5 - 1 >= 0 /\ Ar_3 + Ar_5 - 2 >= 0 /\ -Ar_3 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 1 >= 0 /\ -Ar_2 + Ar_5 - 1 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_3 >= Ar_5 ] (Comp: ?, Cost: 1) eval_ex1_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ -Ar_4 + Ar_5 - 1 >= 0 /\ Ar_3 + Ar_5 - 2 >= 0 /\ -Ar_3 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 1 >= 0 /\ -Ar_2 + Ar_5 - 1 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_3 < Ar_5 ] (Comp: ?, Cost: 1) eval_ex1_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb3_in(Ar_0, Ar_1, Ar_2, Ar_2 + 1, 0, Ar_5)) [ Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 1 >= 0 /\ -Ar_2 + Ar_5 - 1 >= 0 /\ Ar_2 >= 0 ] (Comp: 2, Cost: 1) eval_ex1_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 >= 0 /\ Ar_2 >= Ar_5 ] (Comp: ?, Cost: 1) eval_ex1_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 >= 0 /\ Ar_2 < Ar_5 ] (Comp: 1, Cost: 1) eval_ex1_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb1_in(Ar_0, Ar_1, 0, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 16*V_6 Pol(eval_ex1_start) = 16*V_6 Pol(eval_ex1_bb6_in) = -16*V_3 + 16*V_6 - 14 Pol(eval_ex1_stop) = -16*V_3 + 16*V_6 - 14 Pol(eval_ex1_16) = -16*V_4 + 11*V_5 + 16*V_6 - 8 Pol(eval_ex1_bb1_in) = -16*V_3 + 16*V_6 - 14 Pol(eval_ex1_15) = -16*V_4 + 11*V_5 + 16*V_6 - 7 Pol(eval_ex1__critedge_in) = -16*V_4 + 11*V_5 + 16*V_6 - 6 Pol(eval_ex1_bb5_in) = -16*V_4 + 11*V_5 + 16*V_6 - 6 Pol(eval_ex1_bb3_in) = -16*V_4 + 11*V_5 + 16*V_6 - 2 Pol(eval_ex1_10) = -16*V_4 + 11*V_5 + 16*V_6 - 5 Pol(eval_ex1_9) = -16*V_4 + 11*V_5 + 16*V_6 - 4 Pol(eval_ex1_bb4_in) = -16*V_4 + 11*V_5 + 16*V_6 - 3 Pol(eval_ex1_bb2_in) = -16*V_3 + 16*V_6 - 15 Pol(eval_ex1_6) = 16*V_6 Pol(eval_ex1_5) = 16*V_6 Pol(eval_ex1_4) = 16*V_6 Pol(eval_ex1_3) = 16*V_6 Pol(eval_ex1_2) = 16*V_6 Pol(eval_ex1_1) = 16*V_6 Pol(eval_ex1_0) = 16*V_6 Pol(eval_ex1_bb0_in) = 16*V_6 orients all transitions weakly and the transitions eval_ex1_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4 + 1, Ar_5)) [ Ar_5 - 2 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 - 2 >= 0 /\ Ar_3 + Ar_5 - 3 >= 0 /\ -Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ -Ar_2 + Ar_5 - 2 >= 0 /\ Ar_0 + Ar_5 - 3 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 - 1 >= 0 ] eval_ex1_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 2 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 - 2 >= 0 /\ Ar_3 + Ar_5 - 3 >= 0 /\ -Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ -Ar_2 + Ar_5 - 2 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 ] eval_ex1_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb3_in(Ar_0, Ar_1, Ar_2, Ar_2 + 1, 0, Ar_5)) [ Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 1 >= 0 /\ -Ar_2 + Ar_5 - 1 >= 0 /\ Ar_2 >= 0 ] eval_ex1_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 >= 0 /\ Ar_2 < Ar_5 ] eval_ex1_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_10(Fresh_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 2 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 - 2 >= 0 /\ Ar_3 + Ar_5 - 3 >= 0 /\ -Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ -Ar_2 + Ar_5 - 2 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 ] eval_ex1_16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb1_in(Ar_0, Ar_1, Ar_1, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ -Ar_4 + Ar_5 - 1 >= 0 /\ Ar_3 + Ar_5 - 2 >= 0 /\ -Ar_3 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 1 >= 0 /\ -Ar_2 + Ar_5 - 1 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ -Ar_1 + Ar_5 - 1 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_1 - Ar_3 + 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_1 >= 0 /\ Ar_4 > 0 ] eval_ex1_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 2 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 - 2 >= 0 /\ Ar_3 + Ar_5 - 3 >= 0 /\ -Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ -Ar_2 + Ar_5 - 2 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_0 > 0 ] eval_ex1_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 2 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 - 2 >= 0 /\ Ar_3 + Ar_5 - 3 >= 0 /\ -Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ -Ar_2 + Ar_5 - 2 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_0 <= 0 ] strictly and produces the following problem: 5: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ] (Comp: 2, Cost: 1) eval_ex1_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 - Ar_5 >= 0 /\ Ar_2 >= 0 ] (Comp: ?, Cost: 1) eval_ex1_16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb1_in(Ar_0, Ar_1, Ar_3, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ -Ar_4 + Ar_5 - 1 >= 0 /\ Ar_3 + Ar_5 - 2 >= 0 /\ -Ar_3 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 1 >= 0 /\ -Ar_2 + Ar_5 - 1 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ -Ar_1 + Ar_5 - 1 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_1 - Ar_3 + 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_1 >= 0 /\ Ar_4 <= 0 ] (Comp: 16*Ar_5, Cost: 1) eval_ex1_16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb1_in(Ar_0, Ar_1, Ar_1, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ -Ar_4 + Ar_5 - 1 >= 0 /\ Ar_3 + Ar_5 - 2 >= 0 /\ -Ar_3 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 1 >= 0 /\ -Ar_2 + Ar_5 - 1 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ -Ar_1 + Ar_5 - 1 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_1 - Ar_3 + 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_1 >= 0 /\ Ar_4 > 0 ] (Comp: ?, Cost: 1) eval_ex1_15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ -Ar_4 + Ar_5 - 1 >= 0 /\ Ar_3 + Ar_5 - 2 >= 0 /\ -Ar_3 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 1 >= 0 /\ -Ar_2 + Ar_5 - 1 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ -Ar_1 + Ar_5 - 1 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_1 - Ar_3 + 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_1 >= 0 ] (Comp: ?, Cost: 1) eval_ex1__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_15(Ar_0, Ar_3 - 1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ -Ar_4 + Ar_5 - 1 >= 0 /\ Ar_3 + Ar_5 - 2 >= 0 /\ -Ar_3 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 1 >= 0 /\ -Ar_2 + Ar_5 - 1 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 ] (Comp: 16*Ar_5, Cost: 1) eval_ex1_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4 + 1, Ar_5)) [ Ar_5 - 2 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 - 2 >= 0 /\ Ar_3 + Ar_5 - 3 >= 0 /\ -Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ -Ar_2 + Ar_5 - 2 >= 0 /\ Ar_0 + Ar_5 - 3 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: 16*Ar_5, Cost: 1) eval_ex1_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 2 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 - 2 >= 0 /\ Ar_3 + Ar_5 - 3 >= 0 /\ -Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ -Ar_2 + Ar_5 - 2 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_0 <= 0 ] (Comp: 16*Ar_5, Cost: 1) eval_ex1_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 2 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 - 2 >= 0 /\ Ar_3 + Ar_5 - 3 >= 0 /\ -Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ -Ar_2 + Ar_5 - 2 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_0 > 0 ] (Comp: 16*Ar_5, Cost: 1) eval_ex1_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_10(Fresh_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 2 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 - 2 >= 0 /\ Ar_3 + Ar_5 - 3 >= 0 /\ -Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ -Ar_2 + Ar_5 - 2 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 ] (Comp: 16*Ar_5, Cost: 1) eval_ex1_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 2 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 - 2 >= 0 /\ Ar_3 + Ar_5 - 3 >= 0 /\ -Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ -Ar_2 + Ar_5 - 2 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 ] (Comp: ?, Cost: 1) eval_ex1_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ -Ar_4 + Ar_5 - 1 >= 0 /\ Ar_3 + Ar_5 - 2 >= 0 /\ -Ar_3 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 1 >= 0 /\ -Ar_2 + Ar_5 - 1 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_3 >= Ar_5 ] (Comp: ?, Cost: 1) eval_ex1_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ -Ar_4 + Ar_5 - 1 >= 0 /\ Ar_3 + Ar_5 - 2 >= 0 /\ -Ar_3 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 1 >= 0 /\ -Ar_2 + Ar_5 - 1 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_3 < Ar_5 ] (Comp: 16*Ar_5, Cost: 1) eval_ex1_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb3_in(Ar_0, Ar_1, Ar_2, Ar_2 + 1, 0, Ar_5)) [ Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 1 >= 0 /\ -Ar_2 + Ar_5 - 1 >= 0 /\ Ar_2 >= 0 ] (Comp: 2, Cost: 1) eval_ex1_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 >= 0 /\ Ar_2 >= Ar_5 ] (Comp: 16*Ar_5, Cost: 1) eval_ex1_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 >= 0 /\ Ar_2 < Ar_5 ] (Comp: 1, Cost: 1) eval_ex1_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb1_in(Ar_0, Ar_1, 0, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 5 produces the following problem: 6: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 <= 0 ] (Comp: 2, Cost: 1) eval_ex1_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 - Ar_5 >= 0 /\ Ar_2 >= 0 ] (Comp: 48*Ar_5, Cost: 1) eval_ex1_16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb1_in(Ar_0, Ar_1, Ar_3, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ -Ar_4 + Ar_5 - 1 >= 0 /\ Ar_3 + Ar_5 - 2 >= 0 /\ -Ar_3 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 1 >= 0 /\ -Ar_2 + Ar_5 - 1 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ -Ar_1 + Ar_5 - 1 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_1 - Ar_3 + 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_1 >= 0 /\ Ar_4 <= 0 ] (Comp: 16*Ar_5, Cost: 1) eval_ex1_16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb1_in(Ar_0, Ar_1, Ar_1, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ -Ar_4 + Ar_5 - 1 >= 0 /\ Ar_3 + Ar_5 - 2 >= 0 /\ -Ar_3 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 1 >= 0 /\ -Ar_2 + Ar_5 - 1 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ -Ar_1 + Ar_5 - 1 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_1 - Ar_3 + 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_1 >= 0 /\ Ar_4 > 0 ] (Comp: 48*Ar_5, Cost: 1) eval_ex1_15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_16(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ -Ar_4 + Ar_5 - 1 >= 0 /\ Ar_3 + Ar_5 - 2 >= 0 /\ -Ar_3 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 1 >= 0 /\ -Ar_2 + Ar_5 - 1 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ -Ar_1 + Ar_5 - 1 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_1 - Ar_3 + 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ -Ar_1 + Ar_3 - 1 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_1 >= 0 ] (Comp: 48*Ar_5, Cost: 1) eval_ex1__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_15(Ar_0, Ar_3 - 1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ -Ar_4 + Ar_5 - 1 >= 0 /\ Ar_3 + Ar_5 - 2 >= 0 /\ -Ar_3 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 1 >= 0 /\ -Ar_2 + Ar_5 - 1 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 ] (Comp: 16*Ar_5, Cost: 1) eval_ex1_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4 + 1, Ar_5)) [ Ar_5 - 2 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 - 2 >= 0 /\ Ar_3 + Ar_5 - 3 >= 0 /\ -Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ -Ar_2 + Ar_5 - 2 >= 0 /\ Ar_0 + Ar_5 - 3 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: 16*Ar_5, Cost: 1) eval_ex1_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 2 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 - 2 >= 0 /\ Ar_3 + Ar_5 - 3 >= 0 /\ -Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ -Ar_2 + Ar_5 - 2 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_0 <= 0 ] (Comp: 16*Ar_5, Cost: 1) eval_ex1_10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 2 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 - 2 >= 0 /\ Ar_3 + Ar_5 - 3 >= 0 /\ -Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ -Ar_2 + Ar_5 - 2 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_0 > 0 ] (Comp: 16*Ar_5, Cost: 1) eval_ex1_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_10(Fresh_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 2 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 - 2 >= 0 /\ Ar_3 + Ar_5 - 3 >= 0 /\ -Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ -Ar_2 + Ar_5 - 2 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 ] (Comp: 16*Ar_5, Cost: 1) eval_ex1_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 2 >= 0 /\ Ar_4 + Ar_5 - 2 >= 0 /\ -Ar_4 + Ar_5 - 2 >= 0 /\ Ar_3 + Ar_5 - 3 >= 0 /\ -Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ -Ar_2 + Ar_5 - 2 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 ] (Comp: 32*Ar_5, Cost: 1) eval_ex1_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ -Ar_4 + Ar_5 - 1 >= 0 /\ Ar_3 + Ar_5 - 2 >= 0 /\ -Ar_3 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 1 >= 0 /\ -Ar_2 + Ar_5 - 1 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_3 >= Ar_5 ] (Comp: 32*Ar_5, Cost: 1) eval_ex1_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_5 - 1 >= 0 /\ Ar_4 + Ar_5 - 1 >= 0 /\ -Ar_4 + Ar_5 - 1 >= 0 /\ Ar_3 + Ar_5 - 2 >= 0 /\ -Ar_3 + Ar_5 >= 0 /\ Ar_2 + Ar_5 - 1 >= 0 /\ -Ar_2 + Ar_5 - 1 >= 0 /\ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_4 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_3 < Ar_5 ] (Comp: 16*Ar_5, Cost: 1) eval_ex1_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb3_in(Ar_0, Ar_1, Ar_2, Ar_2 + 1, 0, Ar_5)) [ Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 1 >= 0 /\ -Ar_2 + Ar_5 - 1 >= 0 /\ Ar_2 >= 0 ] (Comp: 2, Cost: 1) eval_ex1_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 >= 0 /\ Ar_2 >= Ar_5 ] (Comp: 16*Ar_5, Cost: 1) eval_ex1_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_2 >= 0 /\ Ar_2 < Ar_5 ] (Comp: 1, Cost: 1) eval_ex1_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb1_in(Ar_0, Ar_1, 0, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) (Comp: 1, Cost: 1) eval_ex1_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(eval_ex1_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) start location: koat_start leaf cost: 0 Complexity upper bound 336*Ar_5 + 13 Time: 6.094 sec (SMT: 5.749 sec)