7.63/6.62 MAYBE 7.74/6.64 proof of /export/starexec/sandbox2/output/output_files/bench.koat 7.74/6.64 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 7.74/6.64 7.74/6.64 7.74/6.64 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, INF). 7.74/6.64 7.74/6.64 (0) CpxIntTrs 7.74/6.64 7.74/6.64 7.74/6.64 ---------------------------------------- 7.74/6.64 7.74/6.64 (0) 7.74/6.64 Obligation: 7.74/6.64 Complexity Int TRS consisting of the following rules: 7.74/6.64 eval_foo_start(v_.0, v_.01, v_4, v_5, v_7, v_8, v_p, v_q) -> Com_1(eval_foo_bb0_in(v_.0, v_.01, v_4, v_5, v_7, v_8, v_p, v_q)) :|: TRUE 7.74/6.64 eval_foo_bb0_in(v_.0, v_.01, v_4, v_5, v_7, v_8, v_p, v_q) -> Com_1(eval_foo_bb1_in(v_p, v_q, v_4, v_5, v_7, v_8, v_p, v_q)) :|: TRUE 7.74/6.64 eval_foo_bb1_in(v_.0, v_.01, v_4, v_5, v_7, v_8, v_p, v_q) -> Com_1(eval_foo_bb2_in(v_.0, v_.01, v_4, v_5, v_7, v_8, v_p, v_q)) :|: v_.01 > 0 && v_.0 > 0 && v_.0 < v_.01 7.74/6.64 eval_foo_bb1_in(v_.0, v_.01, v_4, v_5, v_7, v_8, v_p, v_q) -> Com_1(eval_foo_bb2_in(v_.0, v_.01, v_4, v_5, v_7, v_8, v_p, v_q)) :|: v_.01 > 0 && v_.0 > 0 && v_.0 > v_.01 7.74/6.64 eval_foo_bb1_in(v_.0, v_.01, v_4, v_5, v_7, v_8, v_p, v_q) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_4, v_5, v_7, v_8, v_p, v_q)) :|: v_.01 <= 0 7.74/6.64 eval_foo_bb1_in(v_.0, v_.01, v_4, v_5, v_7, v_8, v_p, v_q) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_4, v_5, v_7, v_8, v_p, v_q)) :|: v_.0 <= 0 7.74/6.64 eval_foo_bb1_in(v_.0, v_.01, v_4, v_5, v_7, v_8, v_p, v_q) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_4, v_5, v_7, v_8, v_p, v_q)) :|: v_.0 >= v_.01 && v_.0 <= v_.01 7.74/6.64 eval_foo_bb2_in(v_.0, v_.01, v_4, v_5, v_7, v_8, v_p, v_q) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_4, v_5, v_7, v_8, v_p, v_q)) :|: v_.01 < v_.0 7.74/6.64 eval_foo_bb2_in(v_.0, v_.01, v_4, v_5, v_7, v_8, v_p, v_q) -> Com_1(eval_foo_bb4_in(v_.0, v_.01, v_4, v_5, v_7, v_8, v_p, v_q)) :|: v_.01 >= v_.0 7.74/6.64 eval_foo_bb3_in(v_.0, v_.01, v_4, v_5, v_7, v_8, v_p, v_q) -> Com_1(eval_foo_1(v_.0, v_.01, v_.01 - 1, v_5, v_7, v_8, v_p, v_q)) :|: TRUE 7.74/6.64 eval_foo_1(v_.0, v_.01, v_4, v_5, v_7, v_8, v_p, v_q) -> Com_2(eval___VERIFIER_nondet_int_start(v_.0, v_.01, v_4, v_5, v_7, v_8, v_p, v_q), eval_foo_2(v_.0, v_.01, v_4, nondef.0, v_7, v_8, v_p, v_q)) :|: TRUE 7.74/6.64 eval_foo_2(v_.0, v_.01, v_4, v_5, v_7, v_8, v_p, v_q) -> Com_1(eval_foo_bb1_in(v_5, v_4, v_4, v_5, v_7, v_8, v_p, v_q)) :|: TRUE 7.74/6.64 eval_foo_bb4_in(v_.0, v_.01, v_4, v_5, v_7, v_8, v_p, v_q) -> Com_1(eval_foo_bb5_in(v_.0, v_.01, v_4, v_5, v_7, v_8, v_p, v_q)) :|: v_.0 < v_.01 7.74/6.64 eval_foo_bb4_in(v_.0, v_.01, v_4, v_5, v_7, v_8, v_p, v_q) -> Com_1(eval_foo_bb1_in(v_.0, v_.01, v_4, v_5, v_7, v_8, v_p, v_q)) :|: v_.0 >= v_.01 7.74/6.64 eval_foo_bb5_in(v_.0, v_.01, v_4, v_5, v_7, v_8, v_p, v_q) -> Com_1(eval_foo_4(v_.0, v_.01, v_4, v_5, v_.0 - 1, v_8, v_p, v_q)) :|: TRUE 7.74/6.64 eval_foo_4(v_.0, v_.01, v_4, v_5, v_7, v_8, v_p, v_q) -> Com_2(eval___VERIFIER_nondet_int_start(v_.0, v_.01, v_4, v_5, v_7, v_8, v_p, v_q), eval_foo_5(v_.0, v_.01, v_4, v_5, v_7, nondef.1, v_p, v_q)) :|: TRUE 7.74/6.64 eval_foo_5(v_.0, v_.01, v_4, v_5, v_7, v_8, v_p, v_q) -> Com_1(eval_foo_bb1_in(v_7, v_8, v_4, v_5, v_7, v_8, v_p, v_q)) :|: TRUE 7.74/6.64 eval_foo_.critedge_in(v_.0, v_.01, v_4, v_5, v_7, v_8, v_p, v_q) -> Com_1(eval_foo_stop(v_.0, v_.01, v_4, v_5, v_7, v_8, v_p, v_q)) :|: TRUE 7.74/6.64 7.74/6.64 The start-symbols are:[eval_foo_start_8] 7.74/6.64 7.74/6.67 EOF