2.27/1.39 WORST_CASE(?, O(n^2)) 2.46/1.40 proof of /export/starexec/sandbox/output/output_files/bench.koat 2.46/1.40 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.46/1.40 2.46/1.40 2.46/1.40 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^2). 2.46/1.40 2.46/1.40 (0) CpxIntTrs 2.46/1.40 (1) Koat Proof [FINISHED, 167 ms] 2.46/1.40 (2) BOUNDS(1, n^2) 2.46/1.40 2.46/1.40 2.46/1.40 ---------------------------------------- 2.46/1.40 2.46/1.40 (0) 2.46/1.40 Obligation: 2.46/1.40 Complexity Int TRS consisting of the following rules: 2.46/1.40 eval_jama_ex4_start(v_a, v_b, v_c, v_d, v_i.0, v_j.0) -> Com_1(eval_jama_ex4_bb0_in(v_a, v_b, v_c, v_d, v_i.0, v_j.0)) :|: TRUE 2.46/1.40 eval_jama_ex4_bb0_in(v_a, v_b, v_c, v_d, v_i.0, v_j.0) -> Com_1(eval_jama_ex4_bb1_in(v_a, v_b, v_c, v_d, v_a, v_j.0)) :|: TRUE 2.46/1.40 eval_jama_ex4_bb1_in(v_a, v_b, v_c, v_d, v_i.0, v_j.0) -> Com_1(eval_jama_ex4_bb2_in(v_a, v_b, v_c, v_d, v_i.0, v_c)) :|: v_i.0 <= v_b 2.46/1.40 eval_jama_ex4_bb1_in(v_a, v_b, v_c, v_d, v_i.0, v_j.0) -> Com_1(eval_jama_ex4_bb5_in(v_a, v_b, v_c, v_d, v_i.0, v_j.0)) :|: v_i.0 > v_b 2.46/1.40 eval_jama_ex4_bb2_in(v_a, v_b, v_c, v_d, v_i.0, v_j.0) -> Com_1(eval_jama_ex4_bb3_in(v_a, v_b, v_c, v_d, v_i.0, v_j.0)) :|: v_j.0 <= v_d 2.46/1.40 eval_jama_ex4_bb2_in(v_a, v_b, v_c, v_d, v_i.0, v_j.0) -> Com_1(eval_jama_ex4_bb4_in(v_a, v_b, v_c, v_d, v_i.0, v_j.0)) :|: v_j.0 > v_d 2.46/1.40 eval_jama_ex4_bb3_in(v_a, v_b, v_c, v_d, v_i.0, v_j.0) -> Com_1(eval_jama_ex4_bb2_in(v_a, v_b, v_c, v_d, v_i.0, v_j.0 + 1)) :|: TRUE 2.46/1.40 eval_jama_ex4_bb4_in(v_a, v_b, v_c, v_d, v_i.0, v_j.0) -> Com_1(eval_jama_ex4_bb1_in(v_a, v_b, v_c, v_d, v_i.0 + 1, v_j.0)) :|: TRUE 2.46/1.40 eval_jama_ex4_bb5_in(v_a, v_b, v_c, v_d, v_i.0, v_j.0) -> Com_1(eval_jama_ex4_stop(v_a, v_b, v_c, v_d, v_i.0, v_j.0)) :|: TRUE 2.46/1.40 2.46/1.40 The start-symbols are:[eval_jama_ex4_start_6] 2.46/1.40 2.46/1.40 2.46/1.40 ---------------------------------------- 2.46/1.40 2.46/1.40 (1) Koat Proof (FINISHED) 2.46/1.40 YES(?, 7*ar_1 + 7*ar_2 + 2*ar_1*ar_4 + 2*ar_2*ar_4 + 2*ar_1*ar_5 + 2*ar_2*ar_5 + 2*ar_4 + 2*ar_5 + 13) 2.46/1.40 2.46/1.40 2.46/1.40 2.46/1.40 Initial complexity problem: 2.46/1.40 2.46/1.40 1: T: 2.46/1.40 2.46/1.40 (Comp: ?, Cost: 1) evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: ?, Cost: 1) evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_1, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: ?, Cost: 1) evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_4, ar_4, ar_5)) [ ar_2 >= ar_0 ] 2.46/1.40 2.46/1.40 (Comp: ?, Cost: 1) evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ] 2.46/1.40 2.46/1.40 (Comp: ?, Cost: 1) evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_3 ] 2.46/1.40 2.46/1.40 (Comp: ?, Cost: 1) evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_5 + 1 ] 2.46/1.40 2.46/1.40 (Comp: ?, Cost: 1) evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: ?, Cost: 1) evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: ?, Cost: 1) evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ] 2.46/1.40 2.46/1.40 start location: koat_start 2.46/1.40 2.46/1.40 leaf cost: 0 2.46/1.40 2.46/1.40 2.46/1.40 2.46/1.40 Repeatedly propagating knowledge in problem 1 produces the following problem: 2.46/1.40 2.46/1.40 2: T: 2.46/1.40 2.46/1.40 (Comp: 1, Cost: 1) evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: 1, Cost: 1) evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_1, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: ?, Cost: 1) evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_4, ar_4, ar_5)) [ ar_2 >= ar_0 ] 2.46/1.40 2.46/1.40 (Comp: ?, Cost: 1) evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ] 2.46/1.40 2.46/1.40 (Comp: ?, Cost: 1) evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_3 ] 2.46/1.40 2.46/1.40 (Comp: ?, Cost: 1) evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_5 + 1 ] 2.46/1.40 2.46/1.40 (Comp: ?, Cost: 1) evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: ?, Cost: 1) evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: ?, Cost: 1) evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ] 2.46/1.40 2.46/1.40 start location: koat_start 2.46/1.40 2.46/1.40 leaf cost: 0 2.46/1.40 2.46/1.40 2.46/1.40 2.46/1.40 A polynomial rank function with 2.46/1.40 2.46/1.40 Pol(evaljamaex4start) = 2 2.46/1.40 2.46/1.40 Pol(evaljamaex4bb0in) = 2 2.46/1.40 2.46/1.40 Pol(evaljamaex4bb1in) = 2 2.46/1.40 2.46/1.40 Pol(evaljamaex4bb2in) = 2 2.46/1.40 2.46/1.40 Pol(evaljamaex4bb5in) = 1 2.46/1.40 2.46/1.40 Pol(evaljamaex4bb3in) = 2 2.46/1.40 2.46/1.40 Pol(evaljamaex4bb4in) = 2 2.46/1.40 2.46/1.40 Pol(evaljamaex4stop) = 0 2.46/1.40 2.46/1.40 Pol(koat_start) = 2 2.46/1.40 2.46/1.40 orients all transitions weakly and the transitions 2.46/1.40 2.46/1.40 evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.46/1.40 2.46/1.40 evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ] 2.46/1.40 2.46/1.40 strictly and produces the following problem: 2.46/1.40 2.46/1.40 3: T: 2.46/1.40 2.46/1.40 (Comp: 1, Cost: 1) evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: 1, Cost: 1) evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_1, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: ?, Cost: 1) evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_4, ar_4, ar_5)) [ ar_2 >= ar_0 ] 2.46/1.40 2.46/1.40 (Comp: 2, Cost: 1) evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ] 2.46/1.40 2.46/1.40 (Comp: ?, Cost: 1) evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_3 ] 2.46/1.40 2.46/1.40 (Comp: ?, Cost: 1) evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_5 + 1 ] 2.46/1.40 2.46/1.40 (Comp: ?, Cost: 1) evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: ?, Cost: 1) evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: 2, Cost: 1) evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ] 2.46/1.40 2.46/1.40 start location: koat_start 2.46/1.40 2.46/1.40 leaf cost: 0 2.46/1.40 2.46/1.40 2.46/1.40 2.46/1.40 A polynomial rank function with 2.46/1.40 2.46/1.40 Pol(evaljamaex4start) = -V_2 + V_3 + 1 2.46/1.40 2.46/1.40 Pol(evaljamaex4bb0in) = -V_2 + V_3 + 1 2.46/1.40 2.46/1.40 Pol(evaljamaex4bb1in) = -V_1 + V_3 + 1 2.46/1.40 2.46/1.40 Pol(evaljamaex4bb2in) = -V_1 + V_3 2.46/1.40 2.46/1.40 Pol(evaljamaex4bb5in) = -V_1 + V_3 2.46/1.40 2.46/1.40 Pol(evaljamaex4bb3in) = -V_1 + V_3 2.46/1.40 2.46/1.40 Pol(evaljamaex4bb4in) = -V_1 + V_3 2.46/1.40 2.46/1.40 Pol(evaljamaex4stop) = -V_1 + V_3 2.46/1.40 2.46/1.40 Pol(koat_start) = -V_2 + V_3 + 1 2.46/1.40 2.46/1.40 orients all transitions weakly and the transition 2.46/1.40 2.46/1.40 evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_4, ar_4, ar_5)) [ ar_2 >= ar_0 ] 2.46/1.40 2.46/1.40 strictly and produces the following problem: 2.46/1.40 2.46/1.40 4: T: 2.46/1.40 2.46/1.40 (Comp: 1, Cost: 1) evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: 1, Cost: 1) evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_1, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: ar_1 + ar_2 + 1, Cost: 1) evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_4, ar_4, ar_5)) [ ar_2 >= ar_0 ] 2.46/1.40 2.46/1.40 (Comp: 2, Cost: 1) evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ] 2.46/1.40 2.46/1.40 (Comp: ?, Cost: 1) evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_3 ] 2.46/1.40 2.46/1.40 (Comp: ?, Cost: 1) evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_5 + 1 ] 2.46/1.40 2.46/1.40 (Comp: ?, Cost: 1) evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: ?, Cost: 1) evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: 2, Cost: 1) evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ] 2.46/1.40 2.46/1.40 start location: koat_start 2.46/1.40 2.46/1.40 leaf cost: 0 2.46/1.40 2.46/1.40 2.46/1.40 2.46/1.40 A polynomial rank function with 2.46/1.40 2.46/1.40 Pol(evaljamaex4bb4in) = 1 2.46/1.40 2.46/1.40 Pol(evaljamaex4bb1in) = 0 2.46/1.40 2.46/1.40 Pol(evaljamaex4bb3in) = 2 2.46/1.40 2.46/1.40 Pol(evaljamaex4bb2in) = 2 2.46/1.40 2.46/1.40 and size complexities 2.46/1.40 2.46/1.40 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-0) = ar_0 2.46/1.40 2.46/1.40 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-1) = ar_1 2.46/1.40 2.46/1.40 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-2) = ar_2 2.46/1.40 2.46/1.40 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-3) = ar_3 2.46/1.40 2.46/1.40 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-4) = ar_4 2.46/1.40 2.46/1.40 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-5) = ar_5 2.46/1.40 2.46/1.40 S("evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = ? 2.46/1.40 2.46/1.40 S("evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_1 2.46/1.40 2.46/1.40 S("evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = ar_2 2.46/1.40 2.46/1.40 S("evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ? 2.46/1.40 2.46/1.40 S("evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = ar_4 2.46/1.40 2.46/1.40 S("evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = ar_5 2.46/1.40 2.46/1.40 S("evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = ? 2.46/1.40 2.46/1.40 S("evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_1 2.46/1.40 2.46/1.40 S("evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = ar_2 2.46/1.40 2.46/1.40 S("evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ? 2.46/1.40 2.46/1.40 S("evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = ar_4 2.46/1.40 2.46/1.40 S("evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = ar_5 2.46/1.40 2.46/1.40 S("evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4, ar_5))", 0-0) = ? 2.46/1.40 2.46/1.40 S("evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4, ar_5))", 0-1) = ar_1 2.46/1.40 2.46/1.40 S("evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4, ar_5))", 0-2) = ar_2 2.46/1.40 2.46/1.40 S("evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4, ar_5))", 0-3) = ? 2.46/1.40 2.46/1.40 S("evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4, ar_5))", 0-4) = ar_4 2.46/1.40 2.46/1.40 S("evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4, ar_5))", 0-5) = ar_5 2.46/1.40 2.46/1.40 S("evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_5 + 1 ]", 0-0) = ? 2.46/1.40 2.46/1.40 S("evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_5 + 1 ]", 0-1) = ar_1 2.46/1.40 2.46/1.40 S("evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_5 + 1 ]", 0-2) = ar_2 2.46/1.40 2.46/1.40 S("evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_5 + 1 ]", 0-3) = ? 2.46/1.40 2.46/1.40 S("evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_5 + 1 ]", 0-4) = ar_4 2.46/1.40 2.46/1.40 S("evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_5 + 1 ]", 0-5) = ar_5 2.46/1.40 2.46/1.40 S("evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_3 ]", 0-0) = ? 2.46/1.40 2.46/1.40 S("evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_3 ]", 0-1) = ar_1 2.46/1.40 2.46/1.40 S("evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_3 ]", 0-2) = ar_2 2.46/1.40 2.46/1.40 S("evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_3 ]", 0-3) = ? 2.46/1.40 2.46/1.40 S("evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_3 ]", 0-4) = ar_4 2.46/1.40 2.46/1.40 S("evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_3 ]", 0-5) = ar_5 2.46/1.40 2.46/1.40 S("evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]", 0-0) = ? 2.46/1.40 2.46/1.40 S("evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]", 0-1) = ar_1 2.46/1.40 2.46/1.40 S("evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]", 0-2) = ar_2 2.46/1.40 2.46/1.40 S("evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]", 0-3) = ? 2.46/1.40 2.46/1.40 S("evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]", 0-4) = ar_4 2.46/1.40 2.46/1.40 S("evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]", 0-5) = ar_5 2.46/1.40 2.46/1.40 S("evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_4, ar_4, ar_5)) [ ar_2 >= ar_0 ]", 0-0) = ? 2.46/1.40 2.46/1.40 S("evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_4, ar_4, ar_5)) [ ar_2 >= ar_0 ]", 0-1) = ar_1 2.46/1.40 2.46/1.40 S("evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_4, ar_4, ar_5)) [ ar_2 >= ar_0 ]", 0-2) = ar_2 2.46/1.40 2.46/1.40 S("evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_4, ar_4, ar_5)) [ ar_2 >= ar_0 ]", 0-3) = ar_4 2.46/1.40 2.46/1.40 S("evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_4, ar_4, ar_5)) [ ar_2 >= ar_0 ]", 0-4) = ar_4 2.46/1.40 2.46/1.40 S("evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_4, ar_4, ar_5)) [ ar_2 >= ar_0 ]", 0-5) = ar_5 2.46/1.40 2.46/1.40 S("evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_1, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = ar_1 2.46/1.40 2.46/1.40 S("evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_1, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_1 2.46/1.40 2.46/1.40 S("evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_1, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = ar_2 2.46/1.40 2.46/1.40 S("evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_1, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3 2.46/1.40 2.46/1.40 S("evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_1, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = ar_4 2.46/1.40 2.46/1.40 S("evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_1, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = ar_5 2.46/1.40 2.46/1.40 S("evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = ar_0 2.46/1.40 2.46/1.40 S("evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_1 2.46/1.40 2.46/1.40 S("evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = ar_2 2.46/1.40 2.46/1.40 S("evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3 2.46/1.40 2.46/1.40 S("evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = ar_4 2.46/1.40 2.46/1.40 S("evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = ar_5 2.46/1.40 2.46/1.40 orients the transitions 2.46/1.40 2.46/1.40 evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.46/1.40 2.46/1.40 evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4, ar_5)) 2.46/1.40 2.46/1.40 evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_5 + 1 ] 2.46/1.40 2.46/1.40 evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_3 ] 2.46/1.40 2.46/1.40 weakly and the transitions 2.46/1.40 2.46/1.40 evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.46/1.40 2.46/1.40 evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_5 + 1 ] 2.46/1.40 2.46/1.40 strictly and produces the following problem: 2.46/1.40 2.46/1.40 5: T: 2.46/1.40 2.46/1.40 (Comp: 1, Cost: 1) evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: 1, Cost: 1) evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_1, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: ar_1 + ar_2 + 1, Cost: 1) evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_4, ar_4, ar_5)) [ ar_2 >= ar_0 ] 2.46/1.40 2.46/1.40 (Comp: 2, Cost: 1) evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ] 2.46/1.40 2.46/1.40 (Comp: ?, Cost: 1) evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_3 ] 2.46/1.40 2.46/1.40 (Comp: 2*ar_1 + 2*ar_2 + 2, Cost: 1) evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_5 + 1 ] 2.46/1.40 2.46/1.40 (Comp: ?, Cost: 1) evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: 2*ar_1 + 2*ar_2 + 2, Cost: 1) evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: 2, Cost: 1) evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ] 2.46/1.40 2.46/1.40 start location: koat_start 2.46/1.40 2.46/1.40 leaf cost: 0 2.46/1.40 2.46/1.40 2.46/1.40 2.46/1.40 A polynomial rank function with 2.46/1.40 2.46/1.40 Pol(evaljamaex4bb3in) = -V_4 + V_6 2.46/1.40 2.46/1.40 Pol(evaljamaex4bb2in) = -V_4 + V_6 + 1 2.46/1.40 2.46/1.40 and size complexities 2.46/1.40 2.46/1.40 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-0) = ar_0 2.46/1.40 2.46/1.40 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-1) = ar_1 2.46/1.40 2.46/1.40 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-2) = ar_2 2.46/1.40 2.46/1.40 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-3) = ar_3 2.46/1.40 2.46/1.40 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-4) = ar_4 2.46/1.40 2.46/1.40 S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-5) = ar_5 2.46/1.40 2.46/1.40 S("evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = 3*ar_1 + 3*ar_2 + 162 2.46/1.40 2.46/1.40 S("evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_1 2.46/1.40 2.46/1.40 S("evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = ar_2 2.46/1.40 2.46/1.40 S("evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ? 2.46/1.40 2.46/1.40 S("evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = ar_4 2.46/1.40 2.46/1.40 S("evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = ar_5 2.46/1.40 2.46/1.40 S("evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = 3*ar_1 + 3*ar_2 + 18 2.46/1.40 2.46/1.40 S("evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_1 2.46/1.40 2.46/1.40 S("evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = ar_2 2.46/1.40 2.46/1.40 S("evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ? 2.46/1.40 2.46/1.40 S("evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = ar_4 2.46/1.40 2.46/1.40 S("evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = ar_5 2.46/1.40 2.46/1.40 S("evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4, ar_5))", 0-0) = 3*ar_1 + 3*ar_2 + 18 2.46/1.40 2.46/1.40 S("evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4, ar_5))", 0-1) = ar_1 2.46/1.40 2.46/1.40 S("evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4, ar_5))", 0-2) = ar_2 2.46/1.40 2.46/1.40 S("evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4, ar_5))", 0-3) = ? 2.46/1.40 2.46/1.40 S("evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4, ar_5))", 0-4) = ar_4 2.46/1.40 2.46/1.40 S("evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4, ar_5))", 0-5) = ar_5 2.46/1.40 2.46/1.40 S("evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_5 + 1 ]", 0-0) = 3*ar_1 + 3*ar_2 + 18 2.46/1.40 2.46/1.40 S("evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_5 + 1 ]", 0-1) = ar_1 2.46/1.40 2.46/1.40 S("evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_5 + 1 ]", 0-2) = ar_2 2.46/1.40 2.46/1.40 S("evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_5 + 1 ]", 0-3) = ? 2.46/1.40 2.46/1.40 S("evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_5 + 1 ]", 0-4) = ar_4 2.46/1.40 2.46/1.40 S("evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_5 + 1 ]", 0-5) = ar_5 2.46/1.40 2.46/1.40 S("evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_3 ]", 0-0) = 3*ar_1 + 3*ar_2 + 18 2.46/1.40 2.46/1.40 S("evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_3 ]", 0-1) = ar_1 2.46/1.40 2.46/1.40 S("evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_3 ]", 0-2) = ar_2 2.46/1.40 2.46/1.40 S("evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_3 ]", 0-3) = ? 2.46/1.40 2.46/1.40 S("evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_3 ]", 0-4) = ar_4 2.46/1.40 2.46/1.40 S("evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_3 ]", 0-5) = ar_5 2.46/1.40 2.46/1.40 S("evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]", 0-0) = 3*ar_1 + 3*ar_2 + 54 2.46/1.40 2.46/1.40 S("evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]", 0-1) = ar_1 2.46/1.40 2.46/1.40 S("evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]", 0-2) = ar_2 2.46/1.40 2.46/1.40 S("evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]", 0-3) = ? 2.46/1.40 2.46/1.40 S("evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]", 0-4) = ar_4 2.46/1.40 2.46/1.40 S("evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]", 0-5) = ar_5 2.46/1.40 2.46/1.40 S("evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_4, ar_4, ar_5)) [ ar_2 >= ar_0 ]", 0-0) = 3*ar_1 + 3*ar_2 + 18 2.46/1.40 2.46/1.40 S("evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_4, ar_4, ar_5)) [ ar_2 >= ar_0 ]", 0-1) = ar_1 2.46/1.40 2.46/1.40 S("evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_4, ar_4, ar_5)) [ ar_2 >= ar_0 ]", 0-2) = ar_2 2.46/1.40 2.46/1.40 S("evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_4, ar_4, ar_5)) [ ar_2 >= ar_0 ]", 0-3) = ar_4 2.46/1.40 2.46/1.40 S("evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_4, ar_4, ar_5)) [ ar_2 >= ar_0 ]", 0-4) = ar_4 2.46/1.40 2.46/1.40 S("evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_4, ar_4, ar_5)) [ ar_2 >= ar_0 ]", 0-5) = ar_5 2.46/1.40 2.46/1.40 S("evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_1, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = ar_1 2.46/1.40 2.46/1.40 S("evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_1, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_1 2.46/1.40 2.46/1.40 S("evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_1, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = ar_2 2.46/1.40 2.46/1.40 S("evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_1, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3 2.46/1.40 2.46/1.40 S("evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_1, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = ar_4 2.46/1.40 2.46/1.40 S("evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_1, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = ar_5 2.46/1.40 2.46/1.40 S("evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = ar_0 2.46/1.40 2.46/1.40 S("evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_1 2.46/1.40 2.46/1.40 S("evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = ar_2 2.46/1.40 2.46/1.40 S("evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3 2.46/1.40 2.46/1.40 S("evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = ar_4 2.46/1.40 2.46/1.40 S("evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = ar_5 2.46/1.40 2.46/1.40 orients the transitions 2.46/1.40 2.46/1.40 evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4, ar_5)) 2.46/1.40 2.46/1.40 evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_3 ] 2.46/1.40 2.46/1.40 weakly and the transition 2.46/1.40 2.46/1.40 evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_3 ] 2.46/1.40 2.46/1.40 strictly and produces the following problem: 2.46/1.40 2.46/1.40 6: T: 2.46/1.40 2.46/1.40 (Comp: 1, Cost: 1) evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: 1, Cost: 1) evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_1, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: ar_1 + ar_2 + 1, Cost: 1) evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_4, ar_4, ar_5)) [ ar_2 >= ar_0 ] 2.46/1.40 2.46/1.40 (Comp: 2, Cost: 1) evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ] 2.46/1.40 2.46/1.40 (Comp: ar_1*ar_4 + ar_2*ar_4 + ar_1*ar_5 + ar_2*ar_5 + ar_4 + ar_5 + ar_1 + ar_2 + 1, Cost: 1) evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_3 ] 2.46/1.40 2.46/1.40 (Comp: 2*ar_1 + 2*ar_2 + 2, Cost: 1) evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_5 + 1 ] 2.46/1.40 2.46/1.40 (Comp: ?, Cost: 1) evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: 2*ar_1 + 2*ar_2 + 2, Cost: 1) evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: 2, Cost: 1) evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ] 2.46/1.40 2.46/1.40 start location: koat_start 2.46/1.40 2.46/1.40 leaf cost: 0 2.46/1.40 2.46/1.40 2.46/1.40 2.46/1.40 Repeatedly propagating knowledge in problem 6 produces the following problem: 2.46/1.40 2.46/1.40 7: T: 2.46/1.40 2.46/1.40 (Comp: 1, Cost: 1) evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: 1, Cost: 1) evaljamaex4bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_1, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: ar_1 + ar_2 + 1, Cost: 1) evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_4, ar_4, ar_5)) [ ar_2 >= ar_0 ] 2.46/1.40 2.46/1.40 (Comp: 2, Cost: 1) evaljamaex4bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ] 2.46/1.40 2.46/1.40 (Comp: ar_1*ar_4 + ar_2*ar_4 + ar_1*ar_5 + ar_2*ar_5 + ar_4 + ar_5 + ar_1 + ar_2 + 1, Cost: 1) evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_3 ] 2.46/1.40 2.46/1.40 (Comp: 2*ar_1 + 2*ar_2 + 2, Cost: 1) evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_5 + 1 ] 2.46/1.40 2.46/1.40 (Comp: ar_1*ar_4 + ar_2*ar_4 + ar_1*ar_5 + ar_2*ar_5 + ar_4 + ar_5 + ar_1 + ar_2 + 1, Cost: 1) evaljamaex4bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb2in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: 2*ar_1 + 2*ar_2 + 2, Cost: 1) evaljamaex4bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: 2, Cost: 1) evaljamaex4bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 2.46/1.40 2.46/1.40 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evaljamaex4start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ] 2.46/1.40 2.46/1.40 start location: koat_start 2.46/1.40 2.46/1.40 leaf cost: 0 2.46/1.40 2.46/1.40 2.46/1.40 2.46/1.40 Complexity upper bound 7*ar_1 + 7*ar_2 + 2*ar_1*ar_4 + 2*ar_2*ar_4 + 2*ar_1*ar_5 + 2*ar_2*ar_5 + 2*ar_4 + 2*ar_5 + 13 2.46/1.40 2.46/1.40 2.46/1.40 2.46/1.40 Time: 0.147 sec (SMT: 0.113 sec) 2.46/1.40 2.46/1.40 2.46/1.40 ---------------------------------------- 2.46/1.40 2.46/1.40 (2) 2.46/1.40 BOUNDS(1, n^2) 2.46/1.42 EOF