21.66/20.26 MAYBE 21.66/20.27 proof of /export/starexec/sandbox2/output/output_files/bench.koat 21.66/20.27 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 21.66/20.27 21.66/20.27 21.66/20.27 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, INF). 21.66/20.27 21.66/20.27 (0) CpxIntTrs 21.66/20.27 21.66/20.27 21.66/20.27 ---------------------------------------- 21.66/20.27 21.66/20.27 (0) 21.66/20.27 Obligation: 21.66/20.27 Complexity Int TRS consisting of the following rules: 21.66/20.27 eval_foo_start(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_foo_bb0_in(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: TRUE 21.66/20.27 eval_foo_bb0_in(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_x, v_y, v_b, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: TRUE 21.66/20.27 eval_foo_bb1_in(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_foo_bb2_in(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_.0 >= 0 && 0 <= v_.01 && v_.01 <= v_n 21.66/20.27 eval_foo_bb1_in(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_.0 < 0 21.66/20.28 eval_foo_bb1_in(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: 0 > v_.01 21.66/20.28 eval_foo_bb1_in(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_.01 > v_n 21.66/20.28 eval_foo_bb2_in(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_.03 >= 0 && v_.03 <= 0 21.66/20.28 eval_foo_bb2_in(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_foo_bb4_in(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_.03 < 0 21.66/20.28 eval_foo_bb2_in(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_foo_bb4_in(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_.03 > 0 21.66/20.28 eval_foo_bb3_in(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_foo_1(v_.0, v_.01, v_.03, v_.01 + 1, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: TRUE 21.66/20.28 eval_foo_1(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_2(eval___VERIFIER_nondet_int_start(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y), eval_foo_2(v_.0, v_.01, v_.03, v_4, nondef.0, v_7, v_8, v_b, v_n, v_x, v_y)) :|: TRUE 21.66/20.28 eval_foo_2(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_.0, v_4, 1, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_5 < 0 21.66/20.28 eval_foo_2(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_.0, v_4, 1, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_5 > 0 21.66/20.28 eval_foo_2(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_.0, v_4, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_5 >= 0 && v_5 <= 0 21.66/20.28 eval_foo_bb4_in(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_foo_5(v_.0, v_.01, v_.03, v_4, v_5, v_.01 - 1, v_8, v_b, v_n, v_x, v_y)) :|: TRUE 21.66/20.28 eval_foo_5(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_2(eval___VERIFIER_nondet_int_start(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y), eval_foo_6(v_.0, v_.01, v_.03, v_4, v_5, v_7, nondef.1, v_b, v_n, v_x, v_y)) :|: TRUE 21.66/20.28 eval_foo_6(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_.0 - 1, v_7, 0, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_8 < 0 21.66/20.28 eval_foo_6(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_.0 - 1, v_7, 0, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_8 < 0 && v_8 > 0 21.66/20.28 eval_foo_6(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_.0 - 1, v_7, 0, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_8 > 0 21.66/20.28 eval_foo_6(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_.0 - 1, v_7, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_8 < 0 && v_8 >= 0 && v_8 <= 0 21.66/20.28 eval_foo_6(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_.0 - 1, v_7, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_8 > 0 && v_8 >= 0 && v_8 <= 0 21.66/20.28 eval_foo_6(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_.0, v_7, 0, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_8 >= 0 && v_8 <= 0 && v_8 < 0 21.66/20.28 eval_foo_6(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_.0, v_7, 0, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_8 >= 0 && v_8 <= 0 && v_8 > 0 21.66/20.28 eval_foo_6(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_.0, v_7, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: v_8 >= 0 && v_8 <= 0 21.66/20.28 eval_foo_.critedge_in(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y) -> Com_1(eval_foo_stop(v_.0, v_.01, v_.03, v_4, v_5, v_7, v_8, v_b, v_n, v_x, v_y)) :|: TRUE 21.66/20.28 21.66/20.28 The start-symbols are:[eval_foo_start_11] 21.66/20.28 21.76/20.30 EOF