5.00/3.98 MAYBE 5.00/3.99 proof of /export/starexec/sandbox/output/output_files/bench.koat 5.00/3.99 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 5.00/3.99 5.00/3.99 5.00/3.99 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, INF). 5.00/3.99 5.00/3.99 (0) CpxIntTrs 5.00/3.99 5.00/3.99 5.00/3.99 ---------------------------------------- 5.00/3.99 5.00/3.99 (0) 5.00/3.99 Obligation: 5.00/3.99 Complexity Int TRS consisting of the following rules: 5.00/3.99 eval_foo_start(v_.0, v_.01, v_.12, v_x, v_y) -> Com_1(eval_foo_bb0_in(v_.0, v_.01, v_.12, v_x, v_y)) :|: TRUE 5.00/3.99 eval_foo_bb0_in(v_.0, v_.01, v_.12, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_x, v_.01, v_.12, v_x, v_y)) :|: TRUE 5.00/3.99 eval_foo_bb1_in(v_.0, v_.01, v_.12, v_x, v_y) -> Com_1(eval_foo_bb2_in(v_.0, v_.0, v_.12, v_x, v_y)) :|: v_.0 > 1 5.00/3.99 eval_foo_bb1_in(v_.0, v_.01, v_.12, v_x, v_y) -> Com_1(eval_foo_bb8_in(v_.0, v_.01, v_.12, v_x, v_y)) :|: v_.0 <= 1 5.00/3.99 eval_foo_bb2_in(v_.0, v_.01, v_.12, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_.12, v_x, v_y)) :|: v_.01 > 1 5.00/3.99 eval_foo_bb2_in(v_.0, v_.01, v_.12, v_x, v_y) -> Com_1(eval_foo_bb4_in(v_.0, v_.01, v_.12, v_x, v_y)) :|: v_.01 <= 1 5.00/3.99 eval_foo_bb3_in(v_.0, v_.01, v_.12, v_x, v_y) -> Com_1(eval_foo_bb2_in(v_.0, v_.01 - 2, v_.12, v_x, v_y)) :|: TRUE 5.00/3.99 eval_foo_bb4_in(v_.0, v_.01, v_.12, v_x, v_y) -> Com_1(eval_foo_bb5_in(v_.0, v_.01, v_.01, v_x, v_y)) :|: v_.01 >= 0 && v_.01 <= 0 5.00/3.99 eval_foo_bb4_in(v_.0, v_.01, v_.12, v_x, v_y) -> Com_1(eval_foo_bb7_in(v_.0, v_.01, v_.12, v_x, v_y)) :|: v_.01 < 0 5.00/3.99 eval_foo_bb4_in(v_.0, v_.01, v_.12, v_x, v_y) -> Com_1(eval_foo_bb7_in(v_.0, v_.01, v_.12, v_x, v_y)) :|: v_.01 > 0 5.00/3.99 eval_foo_bb5_in(v_.0, v_.01, v_.12, v_x, v_y) -> Com_1(eval_foo_bb6_in(v_.0, v_.01, v_.12, v_x, v_y)) :|: 2 * v_.12 < v_.0 5.00/3.99 eval_foo_bb5_in(v_.0, v_.01, v_.12, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_.12, v_.01, v_.12, v_x, v_y)) :|: 2 * v_.12 >= v_.0 5.00/3.99 eval_foo_bb6_in(v_.0, v_.01, v_.12, v_x, v_y) -> Com_1(eval_foo_bb5_in(v_.0, v_.01, v_.12 + 1, v_x, v_y)) :|: TRUE 5.00/3.99 eval_foo_bb7_in(v_.0, v_.01, v_.12, v_x, v_y) -> Com_1(eval_foo_bb1_in(3 * v_.0 + 1, v_.01, v_.12, v_x, v_y)) :|: TRUE 5.00/3.99 eval_foo_bb8_in(v_.0, v_.01, v_.12, v_x, v_y) -> Com_1(eval_foo_stop(v_.0, v_.01, v_.12, v_x, v_y)) :|: TRUE 5.00/3.99 5.00/3.99 The start-symbols are:[eval_foo_start_5] 5.00/3.99 5.00/4.02 EOF