10.04/9.07 MAYBE 10.15/9.08 proof of /export/starexec/sandbox2/output/output_files/bench.koat 10.15/9.08 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 10.15/9.08 10.15/9.08 10.15/9.08 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, INF). 10.15/9.08 10.15/9.08 (0) CpxIntTrs 10.15/9.08 10.15/9.08 10.15/9.08 ---------------------------------------- 10.15/9.08 10.15/9.08 (0) 10.15/9.08 Obligation: 10.15/9.08 Complexity Int TRS consisting of the following rules: 10.15/9.08 eval_foo_start(v_.0, v_.01, v_.03, v_.05, v_3, v_5, v_6, v_tx, v_x, v_y, v_z) -> Com_1(eval_foo_bb0_in(v_.0, v_.01, v_.03, v_.05, v_3, v_5, v_6, v_tx, v_x, v_y, v_z)) :|: TRUE 10.15/9.08 eval_foo_bb0_in(v_.0, v_.01, v_.03, v_.05, v_3, v_5, v_6, v_tx, v_x, v_y, v_z) -> Com_1(eval_foo_bb1_in(v_x, v_y, v_z, v_tx, v_3, v_5, v_6, v_tx, v_x, v_y, v_z)) :|: TRUE 10.15/9.08 eval_foo_bb1_in(v_.0, v_.01, v_.03, v_.05, v_3, v_5, v_6, v_tx, v_x, v_y, v_z) -> Com_1(eval_foo_bb2_in(v_.0, v_.01, v_.03, v_.05, v_3, v_5, v_6, v_tx, v_x, v_y, v_z)) :|: v_.0 >= v_.01 10.15/9.08 eval_foo_bb1_in(v_.0, v_.01, v_.03, v_.05, v_3, v_5, v_6, v_tx, v_x, v_y, v_z) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_.03, v_.05, v_3, v_5, v_6, v_tx, v_x, v_y, v_z)) :|: v_.0 < v_.01 10.15/9.08 eval_foo_bb2_in(v_.0, v_.01, v_.03, v_.05, v_3, v_5, v_6, v_tx, v_x, v_y, v_z) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_.03, v_.05, v_3, v_5, v_6, v_tx, v_x, v_y, v_z)) :|: v_.0 <= v_.05 + v_.03 10.15/9.08 eval_foo_bb2_in(v_.0, v_.01, v_.03, v_.05, v_3, v_5, v_6, v_tx, v_x, v_y, v_z) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_.03, v_.05, v_3, v_5, v_6, v_tx, v_x, v_y, v_z)) :|: v_.0 > v_.05 + v_.03 10.15/9.08 eval_foo_bb3_in(v_.0, v_.01, v_.03, v_.05, v_3, v_5, v_6, v_tx, v_x, v_y, v_z) -> Com_1(eval_foo_2(v_.0, v_.01, v_.03, v_.05, v_3, v_5, v_6, v_tx, v_x, v_y, v_z)) :|: TRUE 10.15/9.08 eval_foo_2(v_.0, v_.01, v_.03, v_.05, v_3, v_5, v_6, v_tx, v_x, v_y, v_z) -> Com_2(eval___VERIFIER_nondet_int_start(v_.0, v_.01, v_.03, v_.05, v_3, v_5, v_6, v_tx, v_x, v_y, v_z), eval_foo_3(v_.0, v_.01, v_.03, v_.05, nondef.0, v_5, v_6, v_tx, v_x, v_y, v_z)) :|: TRUE 10.15/9.08 eval_foo_3(v_.0, v_.01, v_.03, v_.05, v_3, v_5, v_6, v_tx, v_x, v_y, v_z) -> Com_1(eval_foo_bb4_in(v_.0, v_.01, v_.03, v_.05, v_3, v_5, v_6, v_tx, v_x, v_y, v_z)) :|: v_3 < 0 10.15/9.08 eval_foo_3(v_.0, v_.01, v_.03, v_.05, v_3, v_5, v_6, v_tx, v_x, v_y, v_z) -> Com_1(eval_foo_bb4_in(v_.0, v_.01, v_.03, v_.05, v_3, v_5, v_6, v_tx, v_x, v_y, v_z)) :|: v_3 > 0 10.15/9.08 eval_foo_3(v_.0, v_.01, v_.03, v_.05, v_3, v_5, v_6, v_tx, v_x, v_y, v_z) -> Com_1(eval_foo_bb5_in(v_.0, v_.01, v_.03, v_.05, v_3, v_5, v_6, v_tx, v_x, v_y, v_z)) :|: v_3 >= 0 && v_3 <= 0 10.15/9.08 eval_foo_bb4_in(v_.0, v_.01, v_.03, v_.05, v_3, v_5, v_6, v_tx, v_x, v_y, v_z) -> Com_1(eval_foo_5(v_.0, v_.01, v_.03, v_.05, v_3, v_.03 - 1, v_6, v_tx, v_x, v_y, v_z)) :|: TRUE 10.15/9.08 eval_foo_5(v_.0, v_.01, v_.03, v_.05, v_3, v_5, v_6, v_tx, v_x, v_y, v_z) -> Com_2(eval___VERIFIER_nondet_int_start(v_.0, v_.01, v_.03, v_.05, v_3, v_5, v_6, v_tx, v_x, v_y, v_z), eval_foo_6(v_.0, v_.01, v_.03, v_.05, v_3, v_5, nondef.1, v_tx, v_x, v_y, v_z)) :|: TRUE 10.15/9.08 eval_foo_6(v_.0, v_.01, v_.03, v_.05, v_3, v_5, v_6, v_tx, v_x, v_y, v_z) -> Com_1(eval_foo_bb1_in(v_6, v_.01, v_5, v_.0, v_3, v_5, v_6, v_tx, v_x, v_y, v_z)) :|: TRUE 10.15/9.08 eval_foo_bb5_in(v_.0, v_.01, v_.03, v_.05, v_3, v_5, v_6, v_tx, v_x, v_y, v_z) -> Com_1(eval_foo_bb1_in(v_.0, v_.01 + 1, v_.03, v_.05, v_3, v_5, v_6, v_tx, v_x, v_y, v_z)) :|: TRUE 10.15/9.08 eval_foo_.critedge_in(v_.0, v_.01, v_.03, v_.05, v_3, v_5, v_6, v_tx, v_x, v_y, v_z) -> Com_1(eval_foo_stop(v_.0, v_.01, v_.03, v_.05, v_3, v_5, v_6, v_tx, v_x, v_y, v_z)) :|: TRUE 10.15/9.08 10.15/9.08 The start-symbols are:[eval_foo_start_11] 10.15/9.08 10.15/9.11 EOF