2.89/1.88 MAYBE 2.89/1.89 proof of /export/starexec/sandbox/output/output_files/bench.koat 2.89/1.89 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.89/1.89 2.89/1.89 2.89/1.89 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, INF). 2.89/1.89 2.89/1.89 (0) CpxIntTrs 2.89/1.89 2.89/1.89 2.89/1.89 ---------------------------------------- 2.89/1.89 2.89/1.89 (0) 2.89/1.89 Obligation: 2.89/1.89 Complexity Int TRS consisting of the following rules: 2.89/1.89 eval_foo_start(v_.0, v_x, v_y, v_z) -> Com_1(eval_foo_bb0_in(v_.0, v_x, v_y, v_z)) :|: TRUE 2.89/1.89 eval_foo_bb0_in(v_.0, v_x, v_y, v_z) -> Com_1(eval_foo_bb1_in(v_x, v_x, v_y, v_z)) :|: 2 * v_y >= v_z 2.89/1.89 eval_foo_bb0_in(v_.0, v_x, v_y, v_z) -> Com_1(eval_foo_bb3_in(v_.0, v_x, v_y, v_z)) :|: 2 * v_y < v_z 2.89/1.89 eval_foo_bb1_in(v_.0, v_x, v_y, v_z) -> Com_1(eval_foo_bb2_in(v_.0, v_x, v_y, v_z)) :|: v_.0 >= 0 && v_z >= 1 && v_z <= 1 2.89/1.89 eval_foo_bb1_in(v_.0, v_x, v_y, v_z) -> Com_1(eval_foo_bb3_in(v_.0, v_x, v_y, v_z)) :|: v_.0 < 0 2.89/1.89 eval_foo_bb1_in(v_.0, v_x, v_y, v_z) -> Com_1(eval_foo_bb3_in(v_.0, v_x, v_y, v_z)) :|: v_z < 1 2.89/1.89 eval_foo_bb1_in(v_.0, v_x, v_y, v_z) -> Com_1(eval_foo_bb3_in(v_.0, v_x, v_y, v_z)) :|: v_z > 1 2.89/1.89 eval_foo_bb2_in(v_.0, v_x, v_y, v_z) -> Com_1(eval_foo_bb1_in(v_.0 - 2 * v_y + 1, v_x, v_y, v_z)) :|: TRUE 2.89/1.89 eval_foo_bb3_in(v_.0, v_x, v_y, v_z) -> Com_1(eval_foo_stop(v_.0, v_x, v_y, v_z)) :|: TRUE 2.89/1.89 2.89/1.89 The start-symbols are:[eval_foo_start_4] 2.89/1.89 2.89/1.93 EOF