4.13/3.10 MAYBE 4.13/3.12 proof of /export/starexec/sandbox/output/output_files/bench.koat 4.13/3.12 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 4.13/3.12 4.13/3.12 4.13/3.12 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, INF). 4.13/3.12 4.13/3.12 (0) CpxIntTrs 4.13/3.12 4.13/3.12 4.13/3.12 ---------------------------------------- 4.13/3.12 4.13/3.12 (0) 4.13/3.12 Obligation: 4.13/3.12 Complexity Int TRS consisting of the following rules: 4.13/3.12 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 4.13/3.12 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 4.13/3.12 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)) :|: v_.0 > 0 4.13/3.12 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 <= 0 4.13/3.12 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 >= 1 && v_.0 <= 1 && v_.0 >= 10 && v_.0 <= 10 4.13/3.12 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 >= 1 && v_.0 <= 1 && v_.0 < 10 4.13/3.12 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 >= 1 && v_.0 <= 1 && v_.0 > 10 4.13/3.12 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 < 1 && v_.0 >= 10 && v_.0 <= 10 4.13/3.12 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 > 1 && v_.0 >= 10 && v_.0 <= 10 4.13/3.12 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 < 1 && v_.0 < 10 && v_.01 >= 1 && v_.01 <= 1 4.13/3.12 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 < 1 && v_.0 > 10 && v_.01 >= 1 && v_.01 <= 1 4.13/3.12 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 > 1 && v_.0 < 10 && v_.01 >= 1 && v_.01 <= 1 4.13/3.12 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 > 1 && v_.0 > 10 && v_.01 >= 1 && v_.01 <= 1 4.13/3.12 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 < 1 && v_.0 < 10 && v_.01 < 1 4.13/3.12 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 < 1 && v_.0 < 10 && v_.01 > 1 4.13/3.12 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 < 1 && v_.0 > 10 && v_.01 < 1 4.13/3.12 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 < 1 && v_.0 > 10 && v_.01 > 1 4.13/3.12 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 > 1 && v_.0 < 10 && v_.01 < 1 4.13/3.12 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 > 1 && v_.0 < 10 && v_.01 > 1 4.13/3.12 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 > 1 && v_.0 > 10 && v_.01 < 1 4.13/3.12 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 > 1 && v_.0 > 10 && v_.01 > 1 4.13/3.12 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 4.13/3.12 4.13/3.12 The start-symbols are:[eval_foo_start_4] 4.13/3.12 4.26/3.15 EOF