3.41/2.51 MAYBE 3.41/2.52 proof of /export/starexec/sandbox/output/output_files/bench.koat 3.41/2.52 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.41/2.52 3.41/2.52 3.41/2.52 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, INF). 3.41/2.52 3.41/2.52 (0) CpxIntTrs 3.41/2.52 3.41/2.52 3.41/2.52 ---------------------------------------- 3.41/2.52 3.41/2.52 (0) 3.41/2.52 Obligation: 3.41/2.52 Complexity Int TRS consisting of the following rules: 3.41/2.52 eval_foo_start(v_.0, v_.2, v_i) -> Com_1(eval_foo_bb0_in(v_.0, v_.2, v_i)) :|: TRUE 3.41/2.52 eval_foo_bb0_in(v_.0, v_.2, v_i) -> Com_1(eval_foo_bb1_in(v_i, v_.2, v_i)) :|: TRUE 3.41/2.52 eval_foo_bb1_in(v_.0, v_.2, v_i) -> Com_1(eval_foo_bb2_in(v_.0, v_.2, v_i)) :|: v_.0 > 0 && v_.0 < 50 3.41/2.52 eval_foo_bb1_in(v_.0, v_.2, v_i) -> Com_1(eval_foo_bb4_in(v_.0, v_.2, v_i)) :|: v_.0 <= 0 3.41/2.52 eval_foo_bb1_in(v_.0, v_.2, v_i) -> Com_1(eval_foo_bb4_in(v_.0, v_.2, v_i)) :|: v_.0 >= 50 3.41/2.52 eval_foo_bb2_in(v_.0, v_.2, v_i) -> Com_1(eval_foo_bb3_in(v_.0, v_.0, v_i)) :|: v_.0 < 20 && v_.0 - 1 > 10 && 30 <= v_.0 3.41/2.52 eval_foo_bb2_in(v_.0, v_.2, v_i) -> Com_1(eval_foo_bb1_in(v_.0, v_.2, v_i)) :|: v_.0 < 20 && v_.0 - 1 > 10 && 30 > v_.0 3.41/2.53 eval_foo_bb2_in(v_.0, v_.2, v_i) -> Com_1(eval_foo_bb3_in(v_.0, v_.0 - 1, v_i)) :|: v_.0 < 20 && v_.0 - 1 <= 10 && 30 <= v_.0 - 1 3.41/2.53 eval_foo_bb2_in(v_.0, v_.2, v_i) -> Com_1(eval_foo_bb1_in(v_.0 - 1, v_.2, v_i)) :|: v_.0 < 20 && v_.0 - 1 <= 10 && 30 > v_.0 - 1 3.41/2.53 eval_foo_bb2_in(v_.0, v_.2, v_i) -> Com_1(eval_foo_bb3_in(v_.0, v_.0 + 1, v_i)) :|: v_.0 >= 20 && v_.0 > 10 && 30 <= v_.0 + 1 3.41/2.53 eval_foo_bb2_in(v_.0, v_.2, v_i) -> Com_1(eval_foo_bb1_in(v_.0 + 1, v_.2, v_i)) :|: v_.0 >= 20 && v_.0 > 10 && 30 > v_.0 + 1 3.41/2.53 eval_foo_bb2_in(v_.0, v_.2, v_i) -> Com_1(eval_foo_bb3_in(v_.0, v_.0, v_i)) :|: v_.0 >= 20 && v_.0 <= 10 && 30 <= v_.0 3.41/2.53 eval_foo_bb2_in(v_.0, v_.2, v_i) -> Com_1(eval_foo_bb1_in(v_.0, v_.2, v_i)) :|: v_.0 >= 20 && v_.0 <= 10 && 30 > v_.0 3.41/2.53 eval_foo_bb3_in(v_.0, v_.2, v_i) -> Com_1(eval_foo_bb1_in(v_.2 - 1, v_.2, v_i)) :|: v_.2 <= 40 3.41/2.53 eval_foo_bb3_in(v_.0, v_.2, v_i) -> Com_1(eval_foo_bb1_in(v_.2, v_.2, v_i)) :|: v_.2 > 40 3.41/2.53 eval_foo_bb4_in(v_.0, v_.2, v_i) -> Com_1(eval_foo_stop(v_.0, v_.2, v_i)) :|: TRUE 3.41/2.53 3.41/2.53 The start-symbols are:[eval_foo_start_3] 3.41/2.53 3.53/2.55 EOF