21.67/20.31 MAYBE 21.67/20.32 proof of /export/starexec/sandbox/output/output_files/bench.koat 21.67/20.32 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 21.67/20.32 21.67/20.32 21.67/20.32 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, INF). 21.67/20.32 21.67/20.32 (0) CpxIntTrs 21.67/20.32 21.67/20.32 21.67/20.32 ---------------------------------------- 21.67/20.32 21.67/20.32 (0) 21.67/20.32 Obligation: 21.67/20.32 Complexity Int TRS consisting of the following rules: 21.67/20.32 eval_foo_start(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y) -> Com_1(eval_foo_bb0_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y)) :|: TRUE 21.67/20.32 eval_foo_bb0_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_x, v_y, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y)) :|: TRUE 21.67/20.32 eval_foo_bb1_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y) -> Com_1(eval_foo_bb2_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y)) :|: v_.0 >= 2 21.67/20.32 eval_foo_bb1_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y) -> Com_1(eval_foo_bb9_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y)) :|: v_.0 < 2 21.67/20.32 eval_foo_bb2_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_.0 - 1, v_.01 + v_.0 - 1, v_.2, v_.23, v_10, v_5, v_x, v_y)) :|: TRUE 21.67/20.32 eval_foo_bb3_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y) -> Com_1(eval_foo_bb4_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y)) :|: v_.12 >= v_.1 + 1 21.67/20.32 eval_foo_bb3_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y)) :|: v_.12 < v_.1 + 1 21.67/20.32 eval_foo_bb4_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y) -> Com_1(eval_foo_5(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y)) :|: TRUE 21.67/20.32 eval_foo_5(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y) -> Com_2(eval___VERIFIER_nondet_int_start(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y), eval_foo_6(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, nondef.0, v_x, v_y)) :|: TRUE 21.67/20.32 eval_foo_6(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y) -> Com_1(eval_foo_bb5_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y)) :|: v_5 < 0 21.67/20.32 eval_foo_6(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y) -> Com_1(eval_foo_bb5_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y)) :|: v_5 > 0 21.67/20.32 eval_foo_6(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y)) :|: v_5 >= 0 && v_5 <= 0 21.67/20.32 eval_foo_bb5_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y) -> Com_1(eval_foo_bb6_in(v_.0, v_.01, v_.1, v_.12, v_.1, v_.12 - 1, v_10, v_5, v_x, v_y)) :|: TRUE 21.67/20.32 eval_foo_bb6_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y) -> Com_1(eval_foo_bb7_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y)) :|: v_.23 >= v_.2 + 3 21.67/20.32 eval_foo_bb6_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y) -> Com_1(eval_foo_.critedge4_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y)) :|: v_.23 < v_.2 + 3 21.67/20.32 eval_foo_bb7_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y) -> Com_1(eval_foo_11(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y)) :|: TRUE 21.67/20.32 eval_foo_11(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y) -> Com_2(eval___VERIFIER_nondet_int_start(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y), eval_foo_12(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, nondef.1, v_5, v_x, v_y)) :|: TRUE 21.67/20.32 eval_foo_12(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y) -> Com_1(eval_foo_bb8_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y)) :|: v_10 < 0 21.67/20.32 eval_foo_12(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y) -> Com_1(eval_foo_bb8_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y)) :|: v_10 > 0 21.67/20.32 eval_foo_12(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y) -> Com_1(eval_foo_.critedge4_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y)) :|: v_10 >= 0 && v_10 <= 0 21.67/20.32 eval_foo_bb8_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y) -> Com_1(eval_foo_bb6_in(v_.0, v_.01, v_.1, v_.12, v_.2 + 1, v_.23 - 2, v_10, v_5, v_x, v_y)) :|: TRUE 21.67/20.32 eval_foo_.critedge4_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_.2, v_.23 - 1, v_.2, v_.23, v_10, v_5, v_x, v_y)) :|: TRUE 21.67/20.32 eval_foo_.critedge_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_.1 - 1, v_.12 - v_.1 + 1, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y)) :|: TRUE 21.67/20.32 eval_foo_bb9_in(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y) -> Com_1(eval_foo_stop(v_.0, v_.01, v_.1, v_.12, v_.2, v_.23, v_10, v_5, v_x, v_y)) :|: TRUE 21.67/20.32 21.67/20.32 The start-symbols are:[eval_foo_start_10] 21.67/20.32 21.67/20.35 EOF