4.16/3.22 MAYBE 4.16/3.24 proof of /export/starexec/sandbox/output/output_files/bench.koat 4.16/3.24 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 4.16/3.24 4.16/3.24 4.16/3.24 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, INF). 4.16/3.24 4.16/3.24 (0) CpxIntTrs 4.16/3.24 4.16/3.24 4.16/3.24 ---------------------------------------- 4.16/3.24 4.16/3.24 (0) 4.16/3.24 Obligation: 4.16/3.24 Complexity Int TRS consisting of the following rules: 4.16/3.24 eval_foo_start(v_.0, v_.01, v_i, v_up) -> Com_1(eval_foo_bb0_in(v_.0, v_.01, v_i, v_up)) :|: TRUE 4.16/3.24 eval_foo_bb0_in(v_.0, v_.01, v_i, v_up) -> Com_1(eval_foo_bb1_in(v_i, 0, v_i, v_up)) :|: TRUE 4.16/3.24 eval_foo_bb1_in(v_.0, v_.01, v_i, v_up) -> Com_1(eval_foo_bb2_in(v_.0, v_.01, v_i, v_up)) :|: 0 <= v_.0 && v_.0 <= 10 4.16/3.24 eval_foo_bb1_in(v_.0, v_.01, v_i, v_up) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_i, v_up)) :|: 0 > v_.0 4.16/3.24 eval_foo_bb1_in(v_.0, v_.01, v_i, v_up) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_i, v_up)) :|: v_.0 > 10 4.16/3.24 eval_foo_bb2_in(v_.0, v_.01, v_i, v_up) -> Com_1(eval_foo_bb1_in(v_.0 + 1, 1, v_i, v_up)) :|: v_.0 >= 10 && v_.0 <= 10 && v_.0 >= 0 && v_.0 <= 0 4.16/3.24 eval_foo_bb2_in(v_.0, v_.01, v_i, v_up) -> Com_1(eval_foo_bb1_in(v_.0 - 1, 0, v_i, v_up)) :|: v_.0 >= 10 && v_.0 <= 10 && v_.0 < 0 4.16/3.24 eval_foo_bb2_in(v_.0, v_.01, v_i, v_up) -> Com_1(eval_foo_bb1_in(v_.0 - 1, 0, v_i, v_up)) :|: v_.0 >= 10 && v_.0 <= 10 && v_.0 > 0 4.16/3.24 eval_foo_bb2_in(v_.0, v_.01, v_i, v_up) -> Com_1(eval_foo_bb1_in(v_.0 + 1, 1, v_i, v_up)) :|: v_.0 < 10 && v_.0 >= 0 && v_.0 <= 0 4.16/3.24 eval_foo_bb2_in(v_.0, v_.01, v_i, v_up) -> Com_1(eval_foo_bb1_in(v_.0 + 1, 1, v_i, v_up)) :|: v_.0 > 10 && v_.0 >= 0 && v_.0 <= 0 4.16/3.24 eval_foo_bb2_in(v_.0, v_.01, v_i, v_up) -> Com_1(eval_foo_bb1_in(v_.0 + 1, v_.01, v_i, v_up)) :|: v_.0 < 10 && v_.0 < 0 && v_.01 >= 1 && v_.01 <= 1 4.16/3.24 eval_foo_bb2_in(v_.0, v_.01, v_i, v_up) -> Com_1(eval_foo_bb1_in(v_.0 + 1, v_.01, v_i, v_up)) :|: v_.0 < 10 && v_.0 > 0 && v_.01 >= 1 && v_.01 <= 1 4.16/3.24 eval_foo_bb2_in(v_.0, v_.01, v_i, v_up) -> Com_1(eval_foo_bb1_in(v_.0 + 1, v_.01, v_i, v_up)) :|: v_.0 > 10 && v_.0 < 0 && v_.01 >= 1 && v_.01 <= 1 4.16/3.24 eval_foo_bb2_in(v_.0, v_.01, v_i, v_up) -> Com_1(eval_foo_bb1_in(v_.0 + 1, v_.01, v_i, v_up)) :|: v_.0 > 10 && v_.0 > 0 && v_.01 >= 1 && v_.01 <= 1 4.16/3.24 eval_foo_bb2_in(v_.0, v_.01, v_i, v_up) -> Com_1(eval_foo_bb1_in(v_.0 - 1, v_.01, v_i, v_up)) :|: v_.0 < 10 && v_.0 < 0 && v_.01 < 1 4.16/3.24 eval_foo_bb2_in(v_.0, v_.01, v_i, v_up) -> Com_1(eval_foo_bb1_in(v_.0 - 1, v_.01, v_i, v_up)) :|: v_.0 < 10 && v_.0 < 0 && v_.01 > 1 4.16/3.24 eval_foo_bb2_in(v_.0, v_.01, v_i, v_up) -> Com_1(eval_foo_bb1_in(v_.0 - 1, v_.01, v_i, v_up)) :|: v_.0 < 10 && v_.0 > 0 && v_.01 < 1 4.16/3.24 eval_foo_bb2_in(v_.0, v_.01, v_i, v_up) -> Com_1(eval_foo_bb1_in(v_.0 - 1, v_.01, v_i, v_up)) :|: v_.0 < 10 && v_.0 > 0 && v_.01 > 1 4.16/3.24 eval_foo_bb2_in(v_.0, v_.01, v_i, v_up) -> Com_1(eval_foo_bb1_in(v_.0 - 1, v_.01, v_i, v_up)) :|: v_.0 > 10 && v_.0 < 0 && v_.01 < 1 4.16/3.24 eval_foo_bb2_in(v_.0, v_.01, v_i, v_up) -> Com_1(eval_foo_bb1_in(v_.0 - 1, v_.01, v_i, v_up)) :|: v_.0 > 10 && v_.0 < 0 && v_.01 > 1 4.16/3.24 eval_foo_bb2_in(v_.0, v_.01, v_i, v_up) -> Com_1(eval_foo_bb1_in(v_.0 - 1, v_.01, v_i, v_up)) :|: v_.0 > 10 && v_.0 > 0 && v_.01 < 1 4.16/3.24 eval_foo_bb2_in(v_.0, v_.01, v_i, v_up) -> Com_1(eval_foo_bb1_in(v_.0 - 1, v_.01, v_i, v_up)) :|: v_.0 > 10 && v_.0 > 0 && v_.01 > 1 4.16/3.24 eval_foo_bb3_in(v_.0, v_.01, v_i, v_up) -> Com_1(eval_foo_stop(v_.0, v_.01, v_i, v_up)) :|: TRUE 4.16/3.24 4.16/3.24 The start-symbols are:[eval_foo_start_4] 4.16/3.24 4.16/3.27 EOF