WORST_CASE(?, O(n^1)) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) eval_wise_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_wise_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_0(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_wise_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_1(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_wise_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 < 0 ] (Comp: ?, Cost: 1) eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 < 0 ] (Comp: ?, Cost: 1) eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ Ar_3 >= 0 ] (Comp: ?, Cost: 1) eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_1 > 2 ] (Comp: ?, Cost: 1) eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_0 > 2 ] (Comp: ?, Cost: 1) eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_1 <= 2 /\ Ar_1 - Ar_0 <= 2 ] (Comp: ?, Cost: 1) eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_0 < Ar_1 ] (Comp: ?, Cost: 1) eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 < Ar_1 /\ Ar_0 >= Ar_1 ] (Comp: ?, Cost: 1) eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0 + 1, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 /\ Ar_0 < Ar_1 ] (Comp: ?, Cost: 1) eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ] (Comp: ?, Cost: 1) eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_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_wise_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Testing for reachability in the complexity graph removes the following transitions from problem 1: eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 < Ar_1 /\ Ar_0 >= Ar_1 ] eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0 + 1, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 /\ Ar_0 < Ar_1 ] We thus obtain the following problem: 2: T: (Comp: ?, Cost: 1) eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_0 < Ar_1 ] (Comp: ?, Cost: 1) eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ] (Comp: ?, Cost: 1) eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_1 <= 2 /\ Ar_1 - Ar_0 <= 2 ] (Comp: ?, Cost: 1) eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_0 > 2 ] (Comp: ?, Cost: 1) eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_1 > 2 ] (Comp: ?, Cost: 1) eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ Ar_3 >= 0 ] (Comp: ?, Cost: 1) eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 < 0 ] (Comp: ?, Cost: 1) eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 < 0 ] (Comp: ?, Cost: 1) eval_wise_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_wise_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_1(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_wise_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_0(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) eval_wise_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb0_in(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_wise_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 2 produces the following problem: 3: T: (Comp: ?, Cost: 1) eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_0 < Ar_1 ] (Comp: ?, Cost: 1) eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ] (Comp: ?, Cost: 1) eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_1 <= 2 /\ Ar_1 - Ar_0 <= 2 ] (Comp: ?, Cost: 1) eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_0 > 2 ] (Comp: ?, Cost: 1) eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_1 > 2 ] (Comp: ?, Cost: 1) eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ Ar_3 >= 0 ] (Comp: 1, Cost: 1) eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 < 0 ] (Comp: 1, Cost: 1) eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 < 0 ] (Comp: 1, Cost: 1) eval_wise_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wise_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_1(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wise_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_0(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wise_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb0_in(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_wise_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_wise__critedge_in) = 2 Pol(eval_wise_bb1_in) = 2 Pol(eval_wise_bb2_in) = 1 Pol(eval_wise_stop) = 0 Pol(eval_wise_2) = 2 Pol(eval_wise_1) = 2 Pol(eval_wise_0) = 2 Pol(eval_wise_bb0_in) = 2 Pol(eval_wise_start) = 2 Pol(koat_start) = 2 orients all transitions weakly and the transitions eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_stop(Ar_0, Ar_1, Ar_2, Ar_3)) eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_1 <= 2 /\ Ar_1 - Ar_0 <= 2 ] strictly and produces the following problem: 4: T: (Comp: ?, Cost: 1) eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_0 < Ar_1 ] (Comp: ?, Cost: 1) eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ] (Comp: 2, Cost: 1) eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_1 <= 2 /\ Ar_1 - Ar_0 <= 2 ] (Comp: ?, Cost: 1) eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_0 > 2 ] (Comp: ?, Cost: 1) eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_1 > 2 ] (Comp: 2, Cost: 1) eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ Ar_3 >= 0 ] (Comp: 1, Cost: 1) eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 < 0 ] (Comp: 1, Cost: 1) eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 < 0 ] (Comp: 1, Cost: 1) eval_wise_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wise_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_1(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wise_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_0(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wise_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb0_in(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_wise_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_wise_bb1_in) = -2*V_1 + 2*V_2 Pol(eval_wise__critedge_in) = -2*V_1 + 2*V_2 - 1 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_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_wise_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_wise_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_wise_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3 S("eval_wise_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_wise_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_wise_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_wise_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_wise_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_wise_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_wise_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_wise_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_wise_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_wise_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_wise_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_wise_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_wise_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_wise_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_wise_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_wise_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 < 0 ]", 0-0) = Ar_0 S("eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 < 0 ]", 0-1) = Ar_1 S("eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 < 0 ]", 0-2) = Ar_2 S("eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 < 0 ]", 0-3) = Ar_3 S("eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 < 0 ]", 0-0) = Ar_0 S("eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 < 0 ]", 0-1) = Ar_1 S("eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 < 0 ]", 0-2) = Ar_2 S("eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 < 0 ]", 0-3) = Ar_3 S("eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ Ar_3 >= 0 ]", 0-0) = Ar_2 S("eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ Ar_3 >= 0 ]", 0-1) = Ar_3 S("eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ Ar_3 >= 0 ]", 0-2) = Ar_2 S("eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ Ar_3 >= 0 ]", 0-3) = Ar_3 S("eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = ? S("eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ? S("eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_1 > 2 ]", 0-0) = Ar_2 S("eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_1 > 2 ]", 0-1) = ? S("eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_1 > 2 ]", 0-2) = Ar_2 S("eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_1 > 2 ]", 0-3) = Ar_3 S("eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_0 > 2 ]", 0-0) = ? S("eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_0 > 2 ]", 0-1) = Ar_3 S("eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_0 > 2 ]", 0-2) = Ar_2 S("eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_0 > 2 ]", 0-3) = Ar_3 S("eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_1 <= 2 /\\ Ar_1 - Ar_0 <= 2 ]", 0-0) = ? S("eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_1 <= 2 /\\ Ar_1 - Ar_0 <= 2 ]", 0-1) = ? S("eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_1 <= 2 /\\ Ar_1 - Ar_0 <= 2 ]", 0-2) = Ar_2 S("eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_1 <= 2 /\\ Ar_1 - Ar_0 <= 2 ]", 0-3) = Ar_3 S("eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ]", 0-0) = Ar_2 S("eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ]", 0-1) = ? S("eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ]", 0-2) = Ar_2 S("eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ]", 0-3) = Ar_3 S("eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_0 < Ar_1 ]", 0-0) = ? S("eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_0 < Ar_1 ]", 0-1) = Ar_3 S("eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_0 < Ar_1 ]", 0-2) = Ar_2 S("eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_0 < Ar_1 ]", 0-3) = Ar_3 orients the transitions eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_0 > 2 ] eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_0 < Ar_1 ] weakly and the transitions eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_0 > 2 ] eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_0 < Ar_1 ] strictly and produces the following problem: 5: T: (Comp: 2*Ar_2 + 2*Ar_3, Cost: 1) eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_0 < Ar_1 ] (Comp: ?, Cost: 1) eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ] (Comp: 2, Cost: 1) eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_1 <= 2 /\ Ar_1 - Ar_0 <= 2 ] (Comp: 2*Ar_2 + 2*Ar_3, Cost: 1) eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_0 > 2 ] (Comp: ?, Cost: 1) eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_1 > 2 ] (Comp: 2, Cost: 1) eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ Ar_3 >= 0 ] (Comp: 1, Cost: 1) eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 < 0 ] (Comp: 1, Cost: 1) eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 < 0 ] (Comp: 1, Cost: 1) eval_wise_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wise_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_1(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wise_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_0(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wise_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb0_in(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_wise_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_wise_bb1_in) = 2*V_1 - 2*V_2 + 2 Pol(eval_wise__critedge_in) = 2*V_1 - 2*V_2 + 1 and size complexities S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_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_wise_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_wise_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_wise_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3 S("eval_wise_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_wise_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_wise_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_wise_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_wise_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_wise_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_wise_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_wise_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_wise_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_wise_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_wise_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_wise_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_wise_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 S("eval_wise_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1 S("eval_wise_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_wise_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 < 0 ]", 0-0) = Ar_0 S("eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 < 0 ]", 0-1) = Ar_1 S("eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 < 0 ]", 0-2) = Ar_2 S("eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 < 0 ]", 0-3) = Ar_3 S("eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 < 0 ]", 0-0) = Ar_0 S("eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 < 0 ]", 0-1) = Ar_1 S("eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 < 0 ]", 0-2) = Ar_2 S("eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 < 0 ]", 0-3) = Ar_3 S("eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ Ar_3 >= 0 ]", 0-0) = Ar_2 S("eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ Ar_3 >= 0 ]", 0-1) = Ar_3 S("eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ Ar_3 >= 0 ]", 0-2) = Ar_2 S("eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_2 >= 0 /\\ Ar_3 >= 0 ]", 0-3) = Ar_3 S("eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = 3*Ar_0 + 3*Ar_2 + 3*Ar_3 S("eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ? S("eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 S("eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 S("eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_1 > 2 ]", 0-0) = Ar_2 S("eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_1 > 2 ]", 0-1) = ? S("eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_1 > 2 ]", 0-2) = Ar_2 S("eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_1 > 2 ]", 0-3) = Ar_3 S("eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_0 > 2 ]", 0-0) = 3*Ar_2 + 3*Ar_3 S("eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_0 > 2 ]", 0-1) = Ar_3 S("eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_0 > 2 ]", 0-2) = Ar_2 S("eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_0 > 2 ]", 0-3) = Ar_3 S("eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_1 <= 2 /\\ Ar_1 - Ar_0 <= 2 ]", 0-0) = 3*Ar_2 + 3*Ar_3 S("eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_1 <= 2 /\\ Ar_1 - Ar_0 <= 2 ]", 0-1) = ? S("eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_1 <= 2 /\\ Ar_1 - Ar_0 <= 2 ]", 0-2) = Ar_2 S("eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_1 <= 2 /\\ Ar_1 - Ar_0 <= 2 ]", 0-3) = Ar_3 S("eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ]", 0-0) = Ar_2 S("eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ]", 0-1) = ? S("eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ]", 0-2) = Ar_2 S("eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ]", 0-3) = Ar_3 S("eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_0 < Ar_1 ]", 0-0) = 3*Ar_2 + 3*Ar_3 S("eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_0 < Ar_1 ]", 0-1) = Ar_3 S("eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_0 < Ar_1 ]", 0-2) = Ar_2 S("eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_0 < Ar_1 ]", 0-3) = Ar_3 orients the transitions eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_1 > 2 ] eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ] weakly and the transitions eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_1 > 2 ] eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ] strictly and produces the following problem: 6: T: (Comp: 2*Ar_2 + 2*Ar_3, Cost: 1) eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_0 < Ar_1 ] (Comp: 2*Ar_2 + 2*Ar_3 + 2, Cost: 1) eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 ] (Comp: 2, Cost: 1) eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_1 <= 2 /\ Ar_1 - Ar_0 <= 2 ] (Comp: 2*Ar_2 + 2*Ar_3, Cost: 1) eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 - Ar_0 > 2 ] (Comp: 2*Ar_2 + 2*Ar_3 + 2, Cost: 1) eval_wise_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise__critedge_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 - Ar_1 > 2 ] (Comp: 2, Cost: 1) eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb1_in(Ar_2, Ar_3, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ Ar_3 >= 0 ] (Comp: 1, Cost: 1) eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 < 0 ] (Comp: 1, Cost: 1) eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 < 0 ] (Comp: 1, Cost: 1) eval_wise_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_2(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wise_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_1(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wise_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_0(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) eval_wise_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_wise_bb0_in(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_wise_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Complexity upper bound 8*Ar_2 + 8*Ar_3 + 15 Time: 1.374 sec (SMT: 1.313 sec)