2.71/2.00 MAYBE 2.77/2.52 proof of /export/starexec/sandbox2/output/output_files/bench.koat 2.77/2.52 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.77/2.52 2.77/2.52 2.77/2.52 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, INF). 2.77/2.52 2.77/2.52 (0) CpxIntTrs 2.77/2.52 2.77/2.52 2.77/2.52 ---------------------------------------- 2.77/2.52 2.77/2.52 (0) 2.77/2.52 Obligation: 2.77/2.52 Complexity Int TRS consisting of the following rules: 2.77/2.52 eval_gcd_start(v_.0, v_.01, v_x, v_y) -> Com_1(eval_gcd_bb0_in(v_.0, v_.01, v_x, v_y)) :|: TRUE 2.77/2.52 eval_gcd_bb0_in(v_.0, v_.01, v_x, v_y) -> Com_1(eval_gcd_bb3_in(v_.0, v_.01, v_x, v_y)) :|: v_x <= 0 2.77/2.52 eval_gcd_bb0_in(v_.0, v_.01, v_x, v_y) -> Com_1(eval_gcd_bb3_in(v_.0, v_.01, v_x, v_y)) :|: v_y <= 0 2.77/2.52 eval_gcd_bb0_in(v_.0, v_.01, v_x, v_y) -> Com_1(eval_gcd_bb1_in(v_x, v_y, v_x, v_y)) :|: v_x > 0 && v_y > 0 2.77/2.52 eval_gcd_bb1_in(v_.0, v_.01, v_x, v_y) -> Com_1(eval_gcd_bb2_in(v_.0, v_.01, v_x, v_y)) :|: v_.0 < v_.01 2.77/2.52 eval_gcd_bb1_in(v_.0, v_.01, v_x, v_y) -> Com_1(eval_gcd_bb2_in(v_.0, v_.01, v_x, v_y)) :|: v_.0 > v_.01 2.77/2.52 eval_gcd_bb1_in(v_.0, v_.01, v_x, v_y) -> Com_1(eval_gcd_bb3_in(v_.0, v_.01, v_x, v_y)) :|: v_.0 >= v_.01 && v_.0 <= v_.01 2.77/2.52 eval_gcd_bb2_in(v_.0, v_.01, v_x, v_y) -> Com_1(eval_gcd_bb1_in(v_.0, v_.01 - v_.0, v_x, v_y)) :|: v_.0 < v_.01 2.77/2.52 eval_gcd_bb2_in(v_.0, v_.01, v_x, v_y) -> Com_1(eval_gcd_bb1_in(v_.0 - v_.01, v_.01 - v_.0, v_x, v_y)) :|: v_.0 < v_.01 && v_.0 >= v_.01 2.77/2.52 eval_gcd_bb2_in(v_.0, v_.01, v_x, v_y) -> Com_1(eval_gcd_bb1_in(v_.0, v_.01, v_x, v_y)) :|: v_.0 >= v_.01 && v_.0 < v_.01 2.77/2.52 eval_gcd_bb2_in(v_.0, v_.01, v_x, v_y) -> Com_1(eval_gcd_bb1_in(v_.0 - v_.01, v_.01, v_x, v_y)) :|: v_.0 >= v_.01 2.77/2.52 eval_gcd_bb3_in(v_.0, v_.01, v_x, v_y) -> Com_1(eval_gcd_stop(v_.0, v_.01, v_x, v_y)) :|: TRUE 2.77/2.52 2.77/2.52 The start-symbols are:[eval_gcd_start_4] 2.77/2.52 2.78/2.59 EOF