5.63/4.62 MAYBE 5.74/4.63 proof of /export/starexec/sandbox2/output/output_files/bench.koat 5.74/4.63 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 5.74/4.63 5.74/4.63 5.74/4.63 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, INF). 5.74/4.63 5.74/4.63 (0) CpxIntTrs 5.74/4.63 5.74/4.63 5.74/4.63 ---------------------------------------- 5.74/4.63 5.74/4.63 (0) 5.74/4.63 Obligation: 5.74/4.63 Complexity Int TRS consisting of the following rules: 5.74/4.63 eval_foo_start(v_.0, v_.01, v_.12, v_3, v_8, v_x, v_y) -> Com_1(eval_foo_bb0_in(v_.0, v_.01, v_.12, v_3, v_8, v_x, v_y)) :|: TRUE 5.74/4.63 eval_foo_bb0_in(v_.0, v_.01, v_.12, v_3, v_8, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_x, v_y, v_.12, v_3, v_8, v_x, v_y)) :|: TRUE 5.74/4.63 eval_foo_bb1_in(v_.0, v_.01, v_.12, v_3, v_8, v_x, v_y) -> Com_1(eval_foo_bb2_in(v_.0, v_.01, v_.12, v_3, v_8, v_x, v_y)) :|: v_.0 > 0 && v_.01 > 0 5.74/4.63 eval_foo_bb1_in(v_.0, v_.01, v_.12, v_3, v_8, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_.12, v_3, v_8, v_x, v_y)) :|: v_.0 <= 0 5.74/4.63 eval_foo_bb1_in(v_.0, v_.01, v_.12, v_3, v_8, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_.12, v_3, v_8, v_x, v_y)) :|: v_.01 <= 0 5.74/4.63 eval_foo_bb2_in(v_.0, v_.01, v_.12, v_3, v_8, v_x, v_y) -> Com_1(eval_foo_0(v_.0, v_.01, v_.12, v_3, v_8, v_x, v_y)) :|: TRUE 5.74/4.63 eval_foo_0(v_.0, v_.01, v_.12, v_3, v_8, v_x, v_y) -> Com_2(eval___VERIFIER_nondet_int_start(v_.0, v_.01, v_.12, v_3, v_8, v_x, v_y), eval_foo_1(v_.0, v_.01, v_.12, nondef.0, v_8, v_x, v_y)) :|: TRUE 5.74/4.63 eval_foo_1(v_.0, v_.01, v_.12, v_3, v_8, v_x, v_y) -> Com_1(eval_foo_4(v_.0, v_.01, v_.0 - 1, v_3, v_8, v_x, v_y)) :|: v_.0 < v_.01 5.74/4.63 eval_foo_1(v_.0, v_.01, v_.12, v_3, v_8, v_x, v_y) -> Com_1(eval_foo_4(v_.0, v_.01, v_.01 - 1, v_3, v_8, v_x, v_y)) :|: v_.0 >= v_.01 5.74/4.63 eval_foo_4(v_.0, v_.01, v_.12, v_3, v_8, v_x, v_y) -> Com_2(eval___VERIFIER_nondet_int_start(v_.0, v_.01, v_.12, v_3, v_8, v_x, v_y), eval_foo_5(v_.0, v_.01, v_.12, v_3, nondef.1, v_x, v_y)) :|: TRUE 5.74/4.63 eval_foo_5(v_.0, v_.01, v_.12, v_3, v_8, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_8, v_.12, v_.12, v_3, v_8, v_x, v_y)) :|: v_3 < 0 5.74/4.63 eval_foo_5(v_.0, v_.01, v_.12, v_3, v_8, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_8, v_.12, v_.12, v_3, v_8, v_x, v_y)) :|: v_3 < 0 && v_3 > 0 5.74/4.63 eval_foo_5(v_.0, v_.01, v_.12, v_3, v_8, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_8, v_.12, v_.12, v_3, v_8, v_x, v_y)) :|: v_3 > 0 5.74/4.63 eval_foo_5(v_.0, v_.01, v_.12, v_3, v_8, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_.12, v_.12, v_.12, v_3, v_8, v_x, v_y)) :|: v_3 < 0 && v_3 >= 0 && v_3 <= 0 5.74/4.63 eval_foo_5(v_.0, v_.01, v_.12, v_3, v_8, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_.12, v_.12, v_.12, v_3, v_8, v_x, v_y)) :|: v_3 > 0 && v_3 >= 0 && v_3 <= 0 5.74/4.63 eval_foo_5(v_.0, v_.01, v_.12, v_3, v_8, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_8, v_8, v_.12, v_3, v_8, v_x, v_y)) :|: v_3 >= 0 && v_3 <= 0 && v_3 < 0 5.74/4.63 eval_foo_5(v_.0, v_.01, v_.12, v_3, v_8, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_8, v_8, v_.12, v_3, v_8, v_x, v_y)) :|: v_3 >= 0 && v_3 <= 0 && v_3 > 0 5.74/4.63 eval_foo_5(v_.0, v_.01, v_.12, v_3, v_8, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_.12, v_8, v_.12, v_3, v_8, v_x, v_y)) :|: v_3 >= 0 && v_3 <= 0 5.74/4.63 eval_foo_bb3_in(v_.0, v_.01, v_.12, v_3, v_8, v_x, v_y) -> Com_1(eval_foo_stop(v_.0, v_.01, v_.12, v_3, v_8, v_x, v_y)) :|: TRUE 5.74/4.63 5.74/4.63 The start-symbols are:[eval_foo_start_7] 5.74/4.63 5.77/5.94 EOF