14.83/13.85 MAYBE 14.83/13.86 proof of /export/starexec/sandbox/output/output_files/bench.koat 14.83/13.86 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 14.83/13.86 14.83/13.86 14.83/13.86 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, INF). 14.83/13.86 14.83/13.86 (0) CpxIntTrs 14.83/13.86 14.83/13.86 14.83/13.86 ---------------------------------------- 14.83/13.86 14.83/13.86 (0) 14.83/13.86 Obligation: 14.83/13.86 Complexity Int TRS consisting of the following rules: 14.83/13.86 eval_foo_start(v_.0, v_.01, v_7, v_N, v_x, v_y) -> Com_1(eval_foo_bb0_in(v_.0, v_.01, v_7, v_N, v_x, v_y)) :|: TRUE 14.83/13.86 eval_foo_bb0_in(v_.0, v_.01, v_7, v_N, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_x, v_y, v_7, v_N, v_x, v_y)) :|: v_N < 536870912 && v_x < 536870912 && v_y < 536870912 && v_x >= -(1073741824) && v_x + v_y >= 0 14.83/13.86 eval_foo_bb0_in(v_.0, v_.01, v_7, v_N, v_x, v_y) -> Com_1(eval_foo_bb5_in(v_.0, v_.01, v_7, v_N, v_x, v_y)) :|: v_N >= 536870912 14.83/13.86 eval_foo_bb0_in(v_.0, v_.01, v_7, v_N, v_x, v_y) -> Com_1(eval_foo_bb5_in(v_.0, v_.01, v_7, v_N, v_x, v_y)) :|: v_x >= 536870912 14.83/13.86 eval_foo_bb0_in(v_.0, v_.01, v_7, v_N, v_x, v_y) -> Com_1(eval_foo_bb5_in(v_.0, v_.01, v_7, v_N, v_x, v_y)) :|: v_y >= 536870912 14.83/13.86 eval_foo_bb0_in(v_.0, v_.01, v_7, v_N, v_x, v_y) -> Com_1(eval_foo_bb5_in(v_.0, v_.01, v_7, v_N, v_x, v_y)) :|: v_x < -(1073741824) 14.83/13.86 eval_foo_bb0_in(v_.0, v_.01, v_7, v_N, v_x, v_y) -> Com_1(eval_foo_bb5_in(v_.0, v_.01, v_7, v_N, v_x, v_y)) :|: v_x + v_y < 0 14.83/13.86 eval_foo_bb1_in(v_.0, v_.01, v_7, v_N, v_x, v_y) -> Com_1(eval_foo_bb2_in(v_.0, v_.01, v_7, v_N, v_x, v_y)) :|: v_.0 <= v_N 14.83/13.86 eval_foo_bb1_in(v_.0, v_.01, v_7, v_N, v_x, v_y) -> Com_1(eval_foo_bb5_in(v_.0, v_.01, v_7, v_N, v_x, v_y)) :|: v_.0 > v_N 14.83/13.86 eval_foo_bb2_in(v_.0, v_.01, v_7, v_N, v_x, v_y) -> Com_1(eval_foo_2(v_.0, v_.01, v_7, v_N, v_x, v_y)) :|: TRUE 14.83/13.86 eval_foo_2(v_.0, v_.01, v_7, v_N, v_x, v_y) -> Com_2(eval___VERIFIER_nondet_int_start(v_.0, v_.01, v_7, v_N, v_x, v_y), eval_foo_3(v_.0, v_.01, nondef.0, v_N, v_x, v_y)) :|: TRUE 14.83/13.86 eval_foo_3(v_.0, v_.01, v_7, v_N, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_7, v_N, v_x, v_y)) :|: v_7 < 0 14.83/13.86 eval_foo_3(v_.0, v_.01, v_7, v_N, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_7, v_N, v_x, v_y)) :|: v_7 > 0 14.83/13.86 eval_foo_3(v_.0, v_.01, v_7, v_N, v_x, v_y) -> Com_1(eval_foo_bb4_in(v_.0, v_.01, v_7, v_N, v_x, v_y)) :|: v_7 >= 0 && v_7 <= 0 14.83/13.86 eval_foo_bb3_in(v_.0, v_.01, v_7, v_N, v_x, v_y) -> Com_1(eval_foo_bb1_in(2 * v_.0 + v_.01, v_.01 + 1, v_7, v_N, v_x, v_y)) :|: TRUE 14.83/13.86 eval_foo_bb4_in(v_.0, v_.01, v_7, v_N, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_.0 + 1, v_.01, v_7, v_N, v_x, v_y)) :|: TRUE 14.83/13.86 eval_foo_bb5_in(v_.0, v_.01, v_7, v_N, v_x, v_y) -> Com_1(eval_foo_stop(v_.0, v_.01, v_7, v_N, v_x, v_y)) :|: TRUE 14.83/13.86 14.83/13.86 The start-symbols are:[eval_foo_start_6] 14.83/13.86 14.83/13.89 EOF