20.64/19.26 MAYBE 20.64/19.28 proof of /export/starexec/sandbox2/output/output_files/bench.koat 20.64/19.28 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 20.64/19.28 20.64/19.28 20.64/19.28 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, INF). 20.64/19.28 20.64/19.28 (0) CpxIntTrs 20.64/19.28 20.64/19.28 20.64/19.28 ---------------------------------------- 20.64/19.28 20.64/19.28 (0) 20.64/19.28 Obligation: 20.64/19.28 Complexity Int TRS consisting of the following rules: 20.64/19.28 eval_rank2_start(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2) -> Com_1(eval_rank2_bb0_in(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2)) :|: TRUE 20.64/19.28 eval_rank2_bb0_in(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2) -> Com_1(eval_rank2_bb1_in(v_10, v_5, v_m, v_m, v_x.1, v_x.2, v_m, v_y.1, v_y.2)) :|: TRUE 20.64/19.28 eval_rank2_bb1_in(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2) -> Com_1(eval_rank2_bb2_in(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2)) :|: v_x.0 >= 2 20.64/19.28 eval_rank2_bb1_in(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2) -> Com_1(eval_rank2_bb9_in(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2)) :|: v_x.0 < 2 20.64/19.28 eval_rank2_bb2_in(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2) -> Com_1(eval_rank2_bb3_in(v_10, v_5, v_m, v_x.0, v_x.0 - 1, v_x.2, v_y.0, v_y.0 + v_x.0 - 1, v_y.2)) :|: TRUE 20.64/19.28 eval_rank2_bb3_in(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2) -> Com_1(eval_rank2_bb4_in(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2)) :|: v_y.1 >= v_x.1 + 1 20.64/19.28 eval_rank2_bb3_in(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2) -> Com_1(eval_rank2_.critedge_in(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2)) :|: v_y.1 < v_x.1 + 1 20.64/19.28 eval_rank2_bb4_in(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2) -> Com_1(eval_rank2_5(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2)) :|: TRUE 20.64/19.28 eval_rank2_5(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2) -> Com_2(eval_nondet_start(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2), eval_rank2_6(v_10, nondef.0, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2)) :|: TRUE 20.64/19.28 eval_rank2_6(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2) -> Com_1(eval_rank2_bb5_in(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2)) :|: v_5 > 0 20.64/19.28 eval_rank2_6(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2) -> Com_1(eval_rank2_.critedge_in(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2)) :|: v_5 <= 0 20.64/19.28 eval_rank2_bb5_in(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2) -> Com_1(eval_rank2_bb6_in(v_10, v_5, v_m, v_x.0, v_x.1, v_x.1, v_y.0, v_y.1, v_y.1 - 1)) :|: TRUE 20.64/19.28 eval_rank2_bb6_in(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2) -> Com_1(eval_rank2_bb7_in(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2)) :|: v_y.2 >= v_x.2 + 3 20.64/19.28 eval_rank2_bb6_in(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2) -> Com_1(eval_rank2_.critedge1_in(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2)) :|: v_y.2 < v_x.2 + 3 20.64/19.28 eval_rank2_bb7_in(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2) -> Com_1(eval_rank2_11(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2)) :|: TRUE 20.64/19.28 eval_rank2_11(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2) -> Com_2(eval_nondet_start(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2), eval_rank2_12(nondef.1, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2)) :|: TRUE 20.64/19.28 eval_rank2_12(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2) -> Com_1(eval_rank2_bb8_in(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2)) :|: v_10 > 0 20.64/19.28 eval_rank2_12(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2) -> Com_1(eval_rank2_.critedge1_in(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2)) :|: v_10 <= 0 20.64/19.28 eval_rank2_bb8_in(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2) -> Com_1(eval_rank2_bb6_in(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2 + 1, v_y.0, v_y.1, v_y.2 - 2)) :|: TRUE 20.64/19.28 eval_rank2_.critedge1_in(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2) -> Com_1(eval_rank2_bb3_in(v_10, v_5, v_m, v_x.0, v_x.2, v_x.2, v_y.0, v_y.2 - 1, v_y.2)) :|: TRUE 20.64/19.28 eval_rank2_.critedge_in(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2) -> Com_1(eval_rank2_bb1_in(v_10, v_5, v_m, v_x.1 - 1, v_x.1, v_x.2, v_y.1 - v_x.1 + 1, v_y.1, v_y.2)) :|: TRUE 20.64/19.28 eval_rank2_bb9_in(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2) -> Com_1(eval_rank2_stop(v_10, v_5, v_m, v_x.0, v_x.1, v_x.2, v_y.0, v_y.1, v_y.2)) :|: TRUE 20.64/19.28 20.64/19.28 The start-symbols are:[eval_rank2_start_9] 20.64/19.28 20.79/19.31 EOF