14.17/13.08 MAYBE 14.17/13.09 proof of /export/starexec/sandbox/output/output_files/bench.koat 14.17/13.09 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 14.17/13.09 14.17/13.09 14.17/13.09 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, INF). 14.17/13.09 14.17/13.09 (0) CpxIntTrs 14.17/13.09 14.17/13.09 14.17/13.09 ---------------------------------------- 14.17/13.09 14.17/13.09 (0) 14.17/13.09 Obligation: 14.17/13.09 Complexity Int TRS consisting of the following rules: 14.17/13.09 eval_foo_start(v_.0, v_.01, v_.03, v_3, v_5, v_6, v_7, v_d, v_x, v_y) -> Com_1(eval_foo_bb0_in(v_.0, v_.01, v_.03, v_3, v_5, v_6, v_7, v_d, v_x, v_y)) :|: TRUE 14.17/13.09 eval_foo_bb0_in(v_.0, v_.01, v_.03, v_3, v_5, v_6, v_7, v_d, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_x, v_y, v_d, v_3, v_5, v_6, v_7, v_d, v_x, v_y)) :|: TRUE 14.17/13.09 eval_foo_bb1_in(v_.0, v_.01, v_.03, v_3, v_5, v_6, v_7, v_d, v_x, v_y) -> Com_1(eval_foo_bb2_in(v_.0, v_.01, v_.03, v_3, v_5, v_6, v_7, v_d, v_x, v_y)) :|: v_.0 > 0 && v_.01 > 0 && v_.03 > 0 14.17/13.09 eval_foo_bb1_in(v_.0, v_.01, v_.03, v_3, v_5, v_6, v_7, v_d, v_x, v_y) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_.03, v_3, v_5, v_6, v_7, v_d, v_x, v_y)) :|: v_.0 <= 0 14.17/13.09 eval_foo_bb1_in(v_.0, v_.01, v_.03, v_3, v_5, v_6, v_7, v_d, v_x, v_y) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_.03, v_3, v_5, v_6, v_7, v_d, v_x, v_y)) :|: v_.01 <= 0 14.17/13.09 eval_foo_bb1_in(v_.0, v_.01, v_.03, v_3, v_5, v_6, v_7, v_d, v_x, v_y) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_.03, v_3, v_5, v_6, v_7, v_d, v_x, v_y)) :|: v_.03 <= 0 14.17/13.09 eval_foo_bb2_in(v_.0, v_.01, v_.03, v_3, v_5, v_6, v_7, v_d, v_x, v_y) -> Com_1(eval_foo_0(v_.0, v_.01, v_.03, v_3, v_5, v_6, v_7, v_d, v_x, v_y)) :|: TRUE 14.17/13.09 eval_foo_0(v_.0, v_.01, v_.03, v_3, v_5, v_6, v_7, v_d, v_x, v_y) -> Com_2(eval___VERIFIER_nondet_int_start(v_.0, v_.01, v_.03, v_3, v_5, v_6, v_7, v_d, v_x, v_y), eval_foo_1(v_.0, v_.01, v_.03, nondef.0, v_5, v_6, v_7, v_d, v_x, v_y)) :|: TRUE 14.17/13.09 eval_foo_1(v_.0, v_.01, v_.03, v_3, v_5, v_6, v_7, v_d, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_.03, v_3, v_5, v_6, v_7, v_d, v_x, v_y)) :|: v_3 < 0 14.17/13.09 eval_foo_1(v_.0, v_.01, v_.03, v_3, v_5, v_6, v_7, v_d, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_.03, v_3, v_5, v_6, v_7, v_d, v_x, v_y)) :|: v_3 > 0 14.17/13.09 eval_foo_1(v_.0, v_.01, v_.03, v_3, v_5, v_6, v_7, v_d, v_x, v_y) -> Com_1(eval_foo_bb4_in(v_.0, v_.01, v_.03, v_3, v_5, v_6, v_7, v_d, v_x, v_y)) :|: v_3 >= 0 && v_3 <= 0 14.17/13.09 eval_foo_bb3_in(v_.0, v_.01, v_.03, v_3, v_5, v_6, v_7, v_d, v_x, v_y) -> Com_1(eval_foo_3(v_.0, v_.01, v_.03, v_3, v_.0 - 1, v_6, v_7, v_d, v_x, v_y)) :|: TRUE 14.17/13.09 eval_foo_3(v_.0, v_.01, v_.03, v_3, v_5, v_6, v_7, v_d, v_x, v_y) -> Com_2(eval___VERIFIER_nondet_int_start(v_.0, v_.01, v_.03, v_3, v_5, v_6, v_7, v_d, v_x, v_y), eval_foo_4(v_.0, v_.01, v_.03, v_3, v_5, nondef.1, v_7, v_d, v_x, v_y)) :|: TRUE 14.17/13.09 eval_foo_4(v_.0, v_.01, v_.03, v_3, v_5, v_6, v_7, v_d, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_5, v_.01, v_6, v_3, v_5, v_6, v_7, v_d, v_x, v_y)) :|: TRUE 14.17/13.09 eval_foo_bb4_in(v_.0, v_.01, v_.03, v_3, v_5, v_6, v_7, v_d, v_x, v_y) -> Com_1(eval_foo_5(v_.0, v_.01, v_.03, v_3, v_5, v_6, v_7, v_d, v_x, v_y)) :|: TRUE 14.17/13.09 eval_foo_5(v_.0, v_.01, v_.03, v_3, v_5, v_6, v_7, v_d, v_x, v_y) -> Com_2(eval___VERIFIER_nondet_int_start(v_.0, v_.01, v_.03, v_3, v_5, v_6, v_7, v_d, v_x, v_y), eval_foo_6(v_.0, v_.01, v_.03, v_3, v_5, v_6, nondef.2, v_d, v_x, v_y)) :|: TRUE 14.17/13.09 eval_foo_6(v_.0, v_.01, v_.03, v_3, v_5, v_6, v_7, v_d, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_7, v_.01 - 1, v_.03 - 1, v_3, v_5, v_6, v_7, v_d, v_x, v_y)) :|: TRUE 14.17/13.09 eval_foo_.critedge_in(v_.0, v_.01, v_.03, v_3, v_5, v_6, v_7, v_d, v_x, v_y) -> Com_1(eval_foo_stop(v_.0, v_.01, v_.03, v_3, v_5, v_6, v_7, v_d, v_x, v_y)) :|: TRUE 14.17/13.09 14.17/13.09 The start-symbols are:[eval_foo_start_10] 14.17/13.09 14.27/13.11 EOF