18.28/16.93 MAYBE 18.28/16.94 proof of /export/starexec/sandbox2/output/output_files/bench.koat 18.28/16.94 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 18.28/16.94 18.28/16.94 18.28/16.94 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, INF). 18.28/16.94 18.28/16.94 (0) CpxIntTrs 18.28/16.94 18.28/16.94 18.28/16.94 ---------------------------------------- 18.28/16.94 18.28/16.94 (0) 18.28/16.94 Obligation: 18.28/16.94 Complexity Int TRS consisting of the following rules: 18.28/16.94 eval_counterex1a_start(v_.0, v_.01, v_.04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_bb0_in(v_.0, v_.01, v_.04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: TRUE 18.28/16.94 eval_counterex1a_bb0_in(v_.0, v_.01, v_.04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_bb1_in(v_b, v_x, v_y, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: TRUE 18.28/16.94 eval_counterex1a_bb1_in(v_.0, v_.01, v_.04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_bb2_in(v_.0, v_.01, v_.04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_.01 >= 0 && 0 <= v_.04 && v_.04 <= v_n 18.28/16.94 eval_counterex1a_bb1_in(v_.0, v_.01, v_.04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_.critedge_in(v_.0, v_.01, v_.04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_.01 < 0 18.28/16.94 eval_counterex1a_bb1_in(v_.0, v_.01, v_.04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_.critedge_in(v_.0, v_.01, v_.04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: 0 > v_.04 18.28/16.94 eval_counterex1a_bb1_in(v_.0, v_.01, v_.04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_.critedge_in(v_.0, v_.01, v_.04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_.04 > v_n 18.28/16.94 eval_counterex1a_bb2_in(v_.0, v_.01, v_.04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_bb3_in(v_.0, v_.01, v_.04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_.0 >= 0 && v_.0 <= 0 18.28/16.94 eval_counterex1a_bb2_in(v_.0, v_.01, v_.04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_bb4_in(v_.0, v_.01, v_.04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_.0 < 0 18.28/16.94 eval_counterex1a_bb2_in(v_.0, v_.01, v_.04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_bb4_in(v_.0, v_.01, v_.04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_.0 > 0 18.28/16.94 eval_counterex1a_bb3_in(v_.0, v_.01, v_.04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_1(v_.0, v_.01, v_.04, v_.04 + 1, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: TRUE 18.28/16.94 eval_counterex1a_1(v_.0, v_.01, v_.04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_2(eval_nondet_start(v_.0, v_.01, v_.04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y), eval_counterex1a_2(v_.0, v_.01, v_.04, v_4, nondef.0, v_7, v_8, v_b, v_n, v_x, v_y)) :|: TRUE 18.28/16.94 eval_counterex1a_2(v_.0, v_.01, v_.04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_bb1_in(1, v_.01, v_4, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_5 > 0 18.28/16.94 eval_counterex1a_2(v_.0, v_.01, v_.04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_bb1_in(v_.0, v_.01, v_4, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_5 <= 0 18.28/16.94 eval_counterex1a_bb4_in(v_.0, v_.01, v_.04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_5(v_.0, v_.01, v_.04, v_4, v_5, v_.04 - 1, v_8, v_b, v_n, v_x, v_y)) :|: TRUE 18.28/16.94 eval_counterex1a_5(v_.0, v_.01, v_.04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_2(eval_nondet_start(v_.0, v_.01, v_.04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y), eval_counterex1a_6(v_.0, v_.01, v_.04, v_4, v_5, v_7, nondef.1, v_b, v_n, v_x, v_y)) :|: TRUE 18.28/16.94 eval_counterex1a_6(v_.0, v_.01, v_.04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_bb1_in(0, v_.01 - 1, v_7, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_8 > 0 18.28/16.94 eval_counterex1a_6(v_.0, v_.01, v_.04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_bb1_in(v_.0, v_.01 - 1, v_7, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_8 > 0 && v_8 <= 0 18.28/16.94 eval_counterex1a_6(v_.0, v_.01, v_.04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_bb1_in(0, v_.01, v_7, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_8 <= 0 && v_8 > 0 18.28/16.94 eval_counterex1a_6(v_.0, v_.01, v_.04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_bb1_in(v_.0, v_.01, v_7, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_8 <= 0 18.28/16.94 eval_counterex1a_.critedge_in(v_.0, v_.01, v_.04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1a_stop(v_.0, v_.01, v_.04, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: TRUE 18.28/16.94 18.28/16.94 The start-symbols are:[eval_counterex1a_start_11] 18.28/16.94 18.38/16.96 EOF