/export/starexec/sandbox/solver/bin/starexec_run_c_complexity /export/starexec/sandbox/benchmark/theBenchmark.c /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox/output/output_files/bench.koat # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1). (0) CpxIntTrs (1) Koat Proof [FINISHED, 381 ms] (2) BOUNDS(1, n^1) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_speed_pldi10_ex3_start(v_.0, v_.1, v_3, v_n) -> Com_1(eval_speed_pldi10_ex3_bb0_in(v_.0, v_.1, v_3, v_n)) :|: TRUE eval_speed_pldi10_ex3_bb0_in(v_.0, v_.1, v_3, v_n) -> Com_1(eval_speed_pldi10_ex3_bb1_in(v_n, v_.1, v_3, v_n)) :|: TRUE eval_speed_pldi10_ex3_bb1_in(v_.0, v_.1, v_3, v_n) -> Com_1(eval_speed_pldi10_ex3_bb2_in(v_.0, v_.1, v_3, v_n)) :|: v_.0 > 0 eval_speed_pldi10_ex3_bb1_in(v_.0, v_.1, v_3, v_n) -> Com_1(eval_speed_pldi10_ex3_bb6_in(v_.0, v_.1, v_3, v_n)) :|: v_.0 <= 0 eval_speed_pldi10_ex3_bb2_in(v_.0, v_.1, v_3, v_n) -> Com_1(eval_speed_pldi10_ex3_bb3_in(v_.0, v_.0 - 1, v_3, v_n)) :|: TRUE eval_speed_pldi10_ex3_bb3_in(v_.0, v_.1, v_3, v_n) -> Com_1(eval_speed_pldi10_ex3_bb4_in(v_.0, v_.1, v_3, v_n)) :|: v_.1 > 0 eval_speed_pldi10_ex3_bb3_in(v_.0, v_.1, v_3, v_n) -> Com_1(eval_speed_pldi10_ex3_bb1_in(v_.1, v_.1, v_3, v_n)) :|: v_.1 <= 0 eval_speed_pldi10_ex3_bb4_in(v_.0, v_.1, v_3, v_n) -> Com_1(eval_speed_pldi10_ex3_2(v_.0, v_.1, v_3, v_n)) :|: TRUE eval_speed_pldi10_ex3_2(v_.0, v_.1, v_3, v_n) -> Com_2(eval_nondet_start(v_.0, v_.1, v_3, v_n), eval_speed_pldi10_ex3_3(v_.0, v_.1, nondef.0, v_n)) :|: TRUE eval_speed_pldi10_ex3_3(v_.0, v_.1, v_3, v_n) -> Com_1(eval_speed_pldi10_ex3_bb1_in(v_.1, v_.1, v_3, v_n)) :|: v_3 > 0 eval_speed_pldi10_ex3_3(v_.0, v_.1, v_3, v_n) -> Com_1(eval_speed_pldi10_ex3_bb5_in(v_.0, v_.1, v_3, v_n)) :|: v_3 <= 0 eval_speed_pldi10_ex3_bb5_in(v_.0, v_.1, v_3, v_n) -> Com_1(eval_speed_pldi10_ex3_bb3_in(v_.0, v_.1 - 1, v_3, v_n)) :|: TRUE eval_speed_pldi10_ex3_bb6_in(v_.0, v_.1, v_3, v_n) -> Com_1(eval_speed_pldi10_ex3_stop(v_.0, v_.1, v_3, v_n)) :|: TRUE The start-symbols are:[eval_speed_pldi10_ex3_start_4] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 88*Ar_1 + 6) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalspeedpldi10ex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalspeedpldi10ex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb1in(Ar_1, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalspeedpldi10ex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 ] (Comp: ?, Cost: 1) evalspeedpldi10ex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 ] (Comp: ?, Cost: 1) evalspeedpldi10ex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb3in(Ar_0, Ar_1, Ar_0 - 1, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalspeedpldi10ex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 1 ] (Comp: ?, Cost: 1) evalspeedpldi10ex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb1in(Ar_2, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_2 ] (Comp: ?, Cost: 1) evalspeedpldi10ex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalspeedpldi10ex320(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalnondetstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalspeedpldi10ex321(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex33(Ar_0, Ar_1, Ar_2, Ar_4, Ar_4)) (Comp: ?, Cost: 1) evalspeedpldi10ex32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalspeedpldi10ex320(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_0), evalspeedpldi10ex321(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_0)) (Comp: ?, Cost: 1) evalspeedpldi10ex33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb1in(Ar_2, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= 1 ] (Comp: ?, Cost: 1) evalspeedpldi10ex33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_3 ] (Comp: ?, Cost: 1) evalspeedpldi10ex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb3in(Ar_0, Ar_1, Ar_2 - 1, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalspeedpldi10ex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 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) evalspeedpldi10ex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalspeedpldi10ex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb1in(Ar_1, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalspeedpldi10ex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 ] (Comp: ?, Cost: 1) evalspeedpldi10ex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 ] (Comp: ?, Cost: 1) evalspeedpldi10ex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb3in(Ar_0, Ar_1, Ar_0 - 1, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalspeedpldi10ex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 1 ] (Comp: ?, Cost: 1) evalspeedpldi10ex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb1in(Ar_2, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_2 ] (Comp: ?, Cost: 1) evalspeedpldi10ex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalspeedpldi10ex320(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalnondetstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalspeedpldi10ex321(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex33(Ar_0, Ar_1, Ar_2, Ar_4, Ar_4)) (Comp: ?, Cost: 1) evalspeedpldi10ex32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalspeedpldi10ex320(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_0), evalspeedpldi10ex321(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_0)) (Comp: ?, Cost: 1) evalspeedpldi10ex33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb1in(Ar_2, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= 1 ] (Comp: ?, Cost: 1) evalspeedpldi10ex33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_3 ] (Comp: ?, Cost: 1) evalspeedpldi10ex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb3in(Ar_0, Ar_1, Ar_2 - 1, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalspeedpldi10ex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalspeedpldi10ex3start) = 2 Pol(evalspeedpldi10ex3bb0in) = 2 Pol(evalspeedpldi10ex3bb1in) = 2 Pol(evalspeedpldi10ex3bb2in) = 2 Pol(evalspeedpldi10ex3bb6in) = 1 Pol(evalspeedpldi10ex3bb3in) = 2 Pol(evalspeedpldi10ex3bb4in) = 2 Pol(evalspeedpldi10ex32) = 2 Pol(evalspeedpldi10ex320) = 0 Pol(evalnondetstart) = 0 Pol(evalspeedpldi10ex321) = 2 Pol(evalspeedpldi10ex33) = 2 Pol(evalspeedpldi10ex3bb5in) = 2 Pol(evalspeedpldi10ex3stop) = 0 Pol(koat_start) = 2 orients all transitions weakly and the transitions evalspeedpldi10ex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) evalspeedpldi10ex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 ] strictly and produces the following problem: 3: T: (Comp: 1, Cost: 1) evalspeedpldi10ex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalspeedpldi10ex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb1in(Ar_1, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalspeedpldi10ex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 ] (Comp: 2, Cost: 1) evalspeedpldi10ex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 ] (Comp: ?, Cost: 1) evalspeedpldi10ex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb3in(Ar_0, Ar_1, Ar_0 - 1, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalspeedpldi10ex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 1 ] (Comp: ?, Cost: 1) evalspeedpldi10ex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb1in(Ar_2, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_2 ] (Comp: ?, Cost: 1) evalspeedpldi10ex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalspeedpldi10ex320(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalnondetstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: ?, Cost: 1) evalspeedpldi10ex321(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex33(Ar_0, Ar_1, Ar_2, Ar_4, Ar_4)) (Comp: ?, Cost: 1) evalspeedpldi10ex32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalspeedpldi10ex320(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_0), evalspeedpldi10ex321(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_0)) (Comp: ?, Cost: 1) evalspeedpldi10ex33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb1in(Ar_2, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= 1 ] (Comp: ?, Cost: 1) evalspeedpldi10ex33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_3 ] (Comp: ?, Cost: 1) evalspeedpldi10ex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb3in(Ar_0, Ar_1, Ar_2 - 1, Ar_3, Ar_4)) (Comp: 2, Cost: 1) evalspeedpldi10ex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Applied AI with 'oct' on problem 3 to obtain the following invariants: For symbol evalspeedpldi10ex32: X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 2 >= 0 For symbol evalspeedpldi10ex320: X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 2 >= 0 For symbol evalspeedpldi10ex321: X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 2 >= 0 For symbol evalspeedpldi10ex33: X_4 - X_5 >= 0 /\ -X_4 + X_5 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 2 >= 0 For symbol evalspeedpldi10ex3bb1in: -X_1 + X_2 >= 0 For symbol evalspeedpldi10ex3bb2in: X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0 For symbol evalspeedpldi10ex3bb3in: X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0 For symbol evalspeedpldi10ex3bb4in: X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 2 >= 0 For symbol evalspeedpldi10ex3bb5in: -X_5 >= 0 /\ X_4 - X_5 >= 0 /\ -X_4 - X_5 >= 0 /\ X_3 - X_5 - 1 >= 0 /\ X_2 - X_5 - 2 >= 0 /\ X_1 - X_5 - 2 >= 0 /\ -X_4 + X_5 >= 0 /\ -X_4 >= 0 /\ X_3 - X_4 - 1 >= 0 /\ X_2 - X_4 - 2 >= 0 /\ X_1 - X_4 - 2 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 2 >= 0 For symbol evalspeedpldi10ex3bb6in: -X_1 + X_2 >= 0 /\ -X_1 >= 0 This yielded the following problem: 4: T: (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] (Comp: 2, Cost: 1) evalspeedpldi10ex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 ] (Comp: ?, Cost: 1) evalspeedpldi10ex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb3in(Ar_0, Ar_1, Ar_2 - 1, Ar_3, Ar_4)) [ -Ar_4 >= 0 /\ Ar_3 - Ar_4 >= 0 /\ -Ar_3 - Ar_4 >= 0 /\ Ar_2 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 2 >= 0 /\ Ar_0 - Ar_4 - 2 >= 0 /\ -Ar_3 + Ar_4 >= 0 /\ -Ar_3 >= 0 /\ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 2 >= 0 /\ Ar_0 - Ar_3 - 2 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 2 >= 0 ] (Comp: ?, Cost: 1) evalspeedpldi10ex33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 >= 0 /\ -Ar_3 + Ar_4 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 2 >= 0 /\ 0 >= Ar_3 ] (Comp: ?, Cost: 1) evalspeedpldi10ex33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb1in(Ar_2, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 >= 0 /\ -Ar_3 + Ar_4 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_3 >= 1 ] (Comp: ?, Cost: 1) evalspeedpldi10ex32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalspeedpldi10ex320(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_0), evalspeedpldi10ex321(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 2 >= 0 ] (Comp: ?, Cost: 1) evalspeedpldi10ex321(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex33(Ar_0, Ar_1, Ar_2, Ar_4, Ar_4)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 2 >= 0 ] (Comp: ?, Cost: 1) evalspeedpldi10ex320(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalnondetstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 2 >= 0 ] (Comp: ?, Cost: 1) evalspeedpldi10ex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 2 >= 0 ] (Comp: ?, Cost: 1) evalspeedpldi10ex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb1in(Ar_2, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_2 ] (Comp: ?, Cost: 1) evalspeedpldi10ex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= 1 ] (Comp: ?, Cost: 1) evalspeedpldi10ex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb3in(Ar_0, Ar_1, Ar_0 - 1, Ar_3, Ar_4)) [ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: 2, Cost: 1) evalspeedpldi10ex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ -Ar_0 + Ar_1 >= 0 /\ 0 >= Ar_0 ] (Comp: ?, Cost: 1) evalspeedpldi10ex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 1 ] (Comp: 1, Cost: 1) evalspeedpldi10ex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb1in(Ar_1, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalspeedpldi10ex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) start location: koat_start leaf cost: 0 A polynomial rank function with Pol(koat_start) = 8*V_2 Pol(evalspeedpldi10ex3start) = 8*V_2 Pol(evalspeedpldi10ex3bb6in) = 8*V_1 Pol(evalspeedpldi10ex3stop) = 8*V_1 Pol(evalspeedpldi10ex3bb5in) = 8*V_3 - 1 Pol(evalspeedpldi10ex3bb3in) = 8*V_3 + 6 Pol(evalspeedpldi10ex33) = 8*V_3 + 1 Pol(evalspeedpldi10ex3bb1in) = 8*V_1 Pol(evalspeedpldi10ex32) = 8*V_3 + 4 Pol(evalspeedpldi10ex320) = 1 Pol(evalspeedpldi10ex321) = 8*V_3 + 2 Pol(evalnondetstart) = 0 Pol(evalspeedpldi10ex3bb4in) = 8*V_3 + 5 Pol(evalspeedpldi10ex3bb2in) = 8*V_1 - 1 Pol(evalspeedpldi10ex3bb0in) = 8*V_2 orients all transitions weakly and the transitions evalspeedpldi10ex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb3in(Ar_0, Ar_1, Ar_2 - 1, Ar_3, Ar_4)) [ -Ar_4 >= 0 /\ Ar_3 - Ar_4 >= 0 /\ -Ar_3 - Ar_4 >= 0 /\ Ar_2 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 2 >= 0 /\ Ar_0 - Ar_4 - 2 >= 0 /\ -Ar_3 + Ar_4 >= 0 /\ -Ar_3 >= 0 /\ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 2 >= 0 /\ Ar_0 - Ar_3 - 2 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 2 >= 0 ] evalspeedpldi10ex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 2 >= 0 ] evalspeedpldi10ex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= 1 ] evalspeedpldi10ex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb1in(Ar_2, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_2 ] evalspeedpldi10ex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb3in(Ar_0, Ar_1, Ar_0 - 1, Ar_3, Ar_4)) [ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 ] evalspeedpldi10ex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 1 ] evalspeedpldi10ex33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 >= 0 /\ -Ar_3 + Ar_4 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 2 >= 0 /\ 0 >= Ar_3 ] evalspeedpldi10ex33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb1in(Ar_2, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 >= 0 /\ -Ar_3 + Ar_4 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_3 >= 1 ] evalspeedpldi10ex321(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex33(Ar_0, Ar_1, Ar_2, Ar_4, Ar_4)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 2 >= 0 ] evalspeedpldi10ex320(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalnondetstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 2 >= 0 ] evalspeedpldi10ex32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalspeedpldi10ex320(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_0), evalspeedpldi10ex321(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 2 >= 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) -> Com_1(evalspeedpldi10ex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ] (Comp: 2, Cost: 1) evalspeedpldi10ex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 ] (Comp: 8*Ar_1, Cost: 1) evalspeedpldi10ex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb3in(Ar_0, Ar_1, Ar_2 - 1, Ar_3, Ar_4)) [ -Ar_4 >= 0 /\ Ar_3 - Ar_4 >= 0 /\ -Ar_3 - Ar_4 >= 0 /\ Ar_2 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 2 >= 0 /\ Ar_0 - Ar_4 - 2 >= 0 /\ -Ar_3 + Ar_4 >= 0 /\ -Ar_3 >= 0 /\ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 2 >= 0 /\ Ar_0 - Ar_3 - 2 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 2 >= 0 ] (Comp: 8*Ar_1, Cost: 1) evalspeedpldi10ex33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 >= 0 /\ -Ar_3 + Ar_4 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 2 >= 0 /\ 0 >= Ar_3 ] (Comp: 8*Ar_1, Cost: 1) evalspeedpldi10ex33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb1in(Ar_2, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 >= 0 /\ -Ar_3 + Ar_4 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_3 >= 1 ] (Comp: 8*Ar_1, Cost: 1) evalspeedpldi10ex32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_2(evalspeedpldi10ex320(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_0), evalspeedpldi10ex321(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_0)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 2 >= 0 ] (Comp: 8*Ar_1, Cost: 1) evalspeedpldi10ex321(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex33(Ar_0, Ar_1, Ar_2, Ar_4, Ar_4)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 2 >= 0 ] (Comp: 8*Ar_1, Cost: 1) evalspeedpldi10ex320(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalnondetstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 2 >= 0 ] (Comp: 8*Ar_1, Cost: 1) evalspeedpldi10ex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 2 >= 0 ] (Comp: 8*Ar_1, Cost: 1) evalspeedpldi10ex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb1in(Ar_2, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_2 ] (Comp: 8*Ar_1, Cost: 1) evalspeedpldi10ex3bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= 1 ] (Comp: 8*Ar_1, Cost: 1) evalspeedpldi10ex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb3in(Ar_0, Ar_1, Ar_0 - 1, Ar_3, Ar_4)) [ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 ] (Comp: 2, Cost: 1) evalspeedpldi10ex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ -Ar_0 + Ar_1 >= 0 /\ 0 >= Ar_0 ] (Comp: 8*Ar_1, Cost: 1) evalspeedpldi10ex3bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 1 ] (Comp: 1, Cost: 1) evalspeedpldi10ex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb1in(Ar_1, Ar_1, Ar_2, Ar_3, Ar_4)) (Comp: 1, Cost: 1) evalspeedpldi10ex3start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalspeedpldi10ex3bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) start location: koat_start leaf cost: 0 Complexity upper bound 88*Ar_1 + 6 Time: 0.379 sec (SMT: 0.288 sec) ---------------------------------------- (2) BOUNDS(1, n^1)