19.68/18.27 MAYBE 19.68/18.28 proof of /export/starexec/sandbox/output/output_files/bench.koat 19.68/18.28 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 19.68/18.28 19.68/18.28 19.68/18.28 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, INF). 19.68/18.28 19.68/18.28 (0) CpxIntTrs 19.68/18.28 19.68/18.28 19.68/18.28 ---------------------------------------- 19.68/18.28 19.68/18.28 (0) 19.68/18.28 Obligation: 19.68/18.28 Complexity Int TRS consisting of the following rules: 19.68/18.28 eval_counterex1c_start(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_bb0_in(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: TRUE 19.68/18.28 eval_counterex1c_bb0_in(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_bb1_in(v_b, v_x, v_y, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: TRUE 19.68/18.28 eval_counterex1c_bb1_in(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_bb2_in(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: v_.01 >= 0 && 0 <= v_.04 && v_.04 <= v_n 19.68/18.28 eval_counterex1c_bb1_in(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_.critedge_in(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: v_.01 < 0 19.68/18.28 eval_counterex1c_bb1_in(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_.critedge_in(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: 0 > v_.04 19.68/18.28 eval_counterex1c_bb1_in(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_.critedge_in(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: v_.04 > v_n 19.68/18.28 eval_counterex1c_bb2_in(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_NodeBlock_in(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: TRUE 19.68/18.28 eval_counterex1c_NodeBlock_in(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_LeafBlock_in(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: v_.0 < 1 19.68/18.28 eval_counterex1c_NodeBlock_in(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_LeafBlock7_in(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: v_.0 >= 1 19.68/18.28 eval_counterex1c_LeafBlock_in(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_bb3_in(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: v_.0 >= 0 && v_.0 <= 0 19.68/18.28 eval_counterex1c_LeafBlock_in(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_NewDefault_in(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: v_.0 < 0 19.68/18.28 eval_counterex1c_LeafBlock_in(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_NewDefault_in(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: v_.0 > 0 19.68/18.28 eval_counterex1c_bb3_in(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_1(v_.0, v_.01, v_.04, v_.04 + 1, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: TRUE 19.68/18.28 eval_counterex1c_1(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_2(eval_nondet_start(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y), eval_counterex1c_2(v_.0, v_.01, v_.04, v_3, nondef.0, v_6, v_7, v_b, v_n, v_x, v_y)) :|: TRUE 19.68/18.28 eval_counterex1c_2(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_bb1_in(1, v_.01, v_3, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: v_4 > 0 19.68/18.28 eval_counterex1c_2(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_bb1_in(v_.0, v_.01, v_3, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: v_4 <= 0 19.68/18.28 eval_counterex1c_LeafBlock7_in(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_bb4_in(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: v_.0 >= 1 && v_.0 <= 1 19.68/18.28 eval_counterex1c_LeafBlock7_in(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_NewDefault_in(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: v_.0 < 1 19.68/18.28 eval_counterex1c_LeafBlock7_in(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_NewDefault_in(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: v_.0 > 1 19.68/18.28 eval_counterex1c_bb4_in(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_5(v_.0, v_.01, v_.04, v_3, v_4, v_.04 - 1, v_7, v_b, v_n, v_x, v_y)) :|: TRUE 19.68/18.28 eval_counterex1c_5(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_2(eval_nondet_start(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y), eval_counterex1c_6(v_.0, v_.01, v_.04, v_3, v_4, v_6, nondef.1, v_b, v_n, v_x, v_y)) :|: TRUE 19.68/18.28 eval_counterex1c_6(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_bb1_in(0, v_.01 - 1, v_6, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: v_7 > 0 19.68/18.28 eval_counterex1c_6(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_bb1_in(v_.0, v_.01 - 1, v_6, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: v_7 > 0 && v_7 <= 0 19.68/18.28 eval_counterex1c_6(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_bb1_in(0, v_.01, v_6, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: v_7 <= 0 && v_7 > 0 19.68/18.28 eval_counterex1c_6(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_bb1_in(v_.0, v_.01, v_6, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: v_7 <= 0 19.68/18.28 eval_counterex1c_NewDefault_in(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_.critedge_in(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: TRUE 19.68/18.28 eval_counterex1c_.critedge_in(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y) -> Com_1(eval_counterex1c_stop(v_.0, v_.01, v_.04, v_3, v_4, v_6, v_7, v_b, v_n, v_x, v_y)) :|: TRUE 19.68/18.28 19.68/18.28 The start-symbols are:[eval_counterex1c_start_11] 19.68/18.28 19.68/18.29 EOF