15.10/13.87 MAYBE 15.10/13.88 proof of /export/starexec/sandbox/output/output_files/bench.koat 15.10/13.88 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 15.10/13.88 15.10/13.88 15.10/13.88 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, INF). 15.10/13.88 15.10/13.88 (0) CpxIntTrs 15.10/13.88 15.10/13.88 15.10/13.88 ---------------------------------------- 15.10/13.88 15.10/13.88 (0) 15.10/13.88 Obligation: 15.10/13.88 Complexity Int TRS consisting of the following rules: 15.10/13.88 eval_foo_start(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y) -> Com_1(eval_foo_bb0_in(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y)) :|: TRUE 15.10/13.88 eval_foo_bb0_in(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y) -> Com_1(eval_foo_.critedge2_in(v_x, v_y, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y)) :|: TRUE 15.10/13.88 eval_foo_.critedge2_in(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_.0, v_.01, v_.01, v_.2, v_2, v_5, v_7, v_n, v_x, v_y)) :|: v_.0 >= 0 15.10/13.88 eval_foo_.critedge2_in(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y) -> Com_1(eval_foo_bb7_in(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y)) :|: v_.0 < 0 15.10/13.88 eval_foo_bb1_in(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y) -> Com_1(eval_foo_bb2_in(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y)) :|: v_.1 >= 0 15.10/13.88 eval_foo_bb1_in(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y)) :|: v_.1 < 0 15.10/13.88 eval_foo_bb2_in(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y) -> Com_1(eval_foo_0(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y)) :|: TRUE 15.10/13.88 eval_foo_0(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y) -> Com_2(eval___VERIFIER_nondet_int_start(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y), eval_foo_1(v_.0, v_.01, v_.1, v_.2, nondef.0, v_5, v_7, v_n, v_x, v_y)) :|: TRUE 15.10/13.88 eval_foo_1(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y)) :|: v_2 < 0 15.10/13.88 eval_foo_1(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y)) :|: v_2 > 0 15.10/13.88 eval_foo_1(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y)) :|: v_2 >= 0 && v_2 <= 0 15.10/13.88 eval_foo_bb3_in(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_.0, v_.01, v_.1 - 1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y)) :|: TRUE 15.10/13.88 eval_foo_.critedge_in(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y) -> Com_1(eval_foo_bb4_in(v_.0, v_.01, v_.1, v_.1, v_2, v_.0 - 1, v_7, v_n, v_x, v_y)) :|: TRUE 15.10/13.88 eval_foo_bb4_in(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y) -> Com_1(eval_foo_bb5_in(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y)) :|: v_.2 <= v_n 15.10/13.88 eval_foo_bb4_in(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y) -> Com_1(eval_foo_.critedge2_in(v_5, v_.2, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y)) :|: v_.2 > v_n 15.10/13.88 eval_foo_bb5_in(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y) -> Com_1(eval_foo_6(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y)) :|: TRUE 15.10/13.88 eval_foo_6(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y) -> Com_2(eval___VERIFIER_nondet_int_start(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y), eval_foo_7(v_.0, v_.01, v_.1, v_.2, v_2, v_5, nondef.1, v_n, v_x, v_y)) :|: TRUE 15.10/13.88 eval_foo_7(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y) -> Com_1(eval_foo_bb6_in(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y)) :|: v_7 < 0 15.10/13.88 eval_foo_7(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y) -> Com_1(eval_foo_bb6_in(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y)) :|: v_7 > 0 15.10/13.88 eval_foo_7(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y) -> Com_1(eval_foo_.critedge2_in(v_5, v_.2, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y)) :|: v_7 >= 0 && v_7 <= 0 15.10/13.88 eval_foo_bb6_in(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y) -> Com_1(eval_foo_bb4_in(v_.0, v_.01, v_.1, v_.2 + 1, v_2, v_5, v_7, v_n, v_x, v_y)) :|: TRUE 15.10/13.88 eval_foo_bb7_in(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y) -> Com_1(eval_foo_stop(v_.0, v_.01, v_.1, v_.2, v_2, v_5, v_7, v_n, v_x, v_y)) :|: TRUE 15.10/13.88 15.10/13.88 The start-symbols are:[eval_foo_start_10] 15.10/13.88 15.25/13.90 EOF