11.61/10.58 MAYBE 11.61/10.59 proof of /export/starexec/sandbox/output/output_files/bench.koat 11.61/10.59 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 11.61/10.59 11.61/10.59 11.61/10.59 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, INF). 11.61/10.59 11.61/10.59 (0) CpxIntTrs 11.61/10.59 11.61/10.59 11.61/10.59 ---------------------------------------- 11.61/10.59 11.61/10.59 (0) 11.61/10.59 Obligation: 11.61/10.59 Complexity Int TRS consisting of the following rules: 11.61/10.59 eval_foo_start(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y) -> Com_1(eval_foo_bb0_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y)) :|: TRUE 11.61/10.59 eval_foo_bb0_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_m, 0, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y)) :|: TRUE 11.61/10.59 eval_foo_bb1_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y) -> Com_1(eval_foo_bb2_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y)) :|: v_.0 >= 0 && v_.01 >= 0 11.61/10.59 eval_foo_bb1_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y) -> Com_1(eval_foo_bb7_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y)) :|: v_.0 < 0 11.61/10.59 eval_foo_bb1_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y) -> Com_1(eval_foo_bb7_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y)) :|: v_.01 < 0 11.61/10.59 eval_foo_bb2_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y) -> Com_1(eval_foo_0(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y)) :|: TRUE 11.61/10.59 eval_foo_0(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y) -> Com_2(eval___VERIFIER_nondet_int_start(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y), eval_foo_1(v_.0, v_.01, v_.1, v_.12, v_.2, nondef.0, v_6, v_m, v_x, v_y)) :|: TRUE 11.61/10.59 eval_foo_1(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_.1, v_.01, v_.2, v_3, v_6, v_m, v_x, v_y)) :|: v_3 < 0 11.61/10.59 eval_foo_1(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_.1, v_.01, v_.2, v_3, v_6, v_m, v_x, v_y)) :|: v_3 > 0 11.61/10.59 eval_foo_1(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y) -> Com_1(eval_foo_bb6_in(v_.0, v_.01, v_.0, v_.12, v_.01, v_3, v_6, v_m, v_x, v_y)) :|: v_3 >= 0 && v_3 <= 0 11.61/10.59 eval_foo_bb3_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y) -> Com_1(eval_foo_bb4_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y)) :|: v_.12 <= v_m 11.61/10.59 eval_foo_bb3_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y)) :|: v_.12 > v_m 11.61/10.59 eval_foo_bb4_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y) -> Com_1(eval_foo_2(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y)) :|: TRUE 11.61/10.59 eval_foo_2(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y) -> Com_2(eval___VERIFIER_nondet_int_start(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y), eval_foo_3(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, nondef.1, v_m, v_x, v_y)) :|: TRUE 11.61/10.59 eval_foo_3(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y) -> Com_1(eval_foo_bb5_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y)) :|: v_6 < 0 11.61/10.59 eval_foo_3(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y) -> Com_1(eval_foo_bb5_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y)) :|: v_6 > 0 11.61/10.60 eval_foo_3(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y)) :|: v_6 >= 0 && v_6 <= 0 11.61/10.60 eval_foo_bb5_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_.1, v_.12 + 1, v_.2, v_3, v_6, v_m, v_x, v_y)) :|: TRUE 11.61/10.60 eval_foo_.critedge_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y) -> Com_1(eval_foo_bb6_in(v_.0, v_.01, v_.0 - 1, v_.12, v_.12, v_3, v_6, v_m, v_x, v_y)) :|: TRUE 11.61/10.60 eval_foo_bb6_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_.1, v_.2 - 1, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y)) :|: TRUE 11.61/10.60 eval_foo_bb7_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y) -> Com_1(eval_foo_stop(v_.0, v_.01, v_.1, v_.12, v_.2, v_3, v_6, v_m, v_x, v_y)) :|: TRUE 11.61/10.60 11.61/10.60 The start-symbols are:[eval_foo_start_10] 11.61/10.60 11.61/10.61 EOF