2.26/1.54 MAYBE 2.26/1.55 proof of /export/starexec/sandbox/output/output_files/bench.koat 2.26/1.55 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.26/1.55 2.26/1.55 2.26/1.55 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, INF). 2.26/1.55 2.26/1.55 (0) CpxIntTrs 2.26/1.55 2.26/1.55 2.26/1.55 ---------------------------------------- 2.26/1.55 2.26/1.55 (0) 2.26/1.55 Obligation: 2.26/1.55 Complexity Int TRS consisting of the following rules: 2.26/1.55 eval_catmouse_start(v_m, v_n, v_x.0) -> Com_1(eval_catmouse_bb0_in(v_m, v_n, v_x.0)) :|: TRUE 2.26/1.55 eval_catmouse_bb0_in(v_m, v_n, v_x.0) -> Com_1(eval_catmouse_bb1_in(v_m, v_n, 0)) :|: TRUE 2.26/1.55 eval_catmouse_bb1_in(v_m, v_n, v_x.0) -> Com_1(eval_catmouse_bb2_in(v_m, v_n, v_x.0)) :|: v_x.0 <= v_n 2.26/1.55 eval_catmouse_bb1_in(v_m, v_n, v_x.0) -> Com_1(eval_catmouse_bb3_in(v_m, v_n, v_x.0)) :|: v_x.0 > v_n 2.26/1.55 eval_catmouse_bb2_in(v_m, v_n, v_x.0) -> Com_1(eval_catmouse_bb1_in(v_m, v_n, v_x.0 + 1)) :|: v_x.0 <= v_m 2.26/1.55 eval_catmouse_bb2_in(v_m, v_n, v_x.0) -> Com_1(eval_catmouse_bb1_in(v_m, v_n, v_x.0 - 1)) :|: v_x.0 > v_m 2.26/1.55 eval_catmouse_bb3_in(v_m, v_n, v_x.0) -> Com_1(eval_catmouse_stop(v_m, v_n, v_x.0)) :|: TRUE 2.26/1.55 2.26/1.55 The start-symbols are:[eval_catmouse_start_3] 2.26/1.55 2.26/1.57 EOF