/export/starexec/sandbox/solver/bin/starexec_run_c_complexity /export/starexec/sandbox/benchmark/theBenchmark.c /export/starexec/sandbox/output/output_files


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MAYBE
proof of /export/starexec/sandbox/output/output_files/bench.koat
# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, INF).

(0) CpxIntTrs


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(0)
Obligation:
Complexity Int TRS consisting of the following rules:
eval_serpent_start(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_bb0_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2)) :|: TRUE
eval_serpent_bb0_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_bb7_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2)) :|: v_n <= 0
eval_serpent_bb0_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_.critedge1_in(v_3, v_6, v_8, v_n, v_n, v_n, v_y.1, v_y.2)) :|: v_n > 0
eval_serpent_.critedge1_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_bb1_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.0, v_y.2)) :|: v_x.0 >= 0
eval_serpent_.critedge1_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_bb7_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2)) :|: v_x.0 < 0
eval_serpent_bb1_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_bb2_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2)) :|: v_y.1 >= 0
eval_serpent_bb1_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_.critedge_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2)) :|: v_y.1 < 0
eval_serpent_bb2_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_0(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2)) :|: TRUE
eval_serpent_0(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_2(eval_nondet_start(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2), eval_serpent_1(nondef.0, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2)) :|: TRUE
eval_serpent_1(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_bb3_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2)) :|: v_3 > 0
eval_serpent_1(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_.critedge_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2)) :|: v_3 <= 0
eval_serpent_bb3_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_bb1_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1 - 1, v_y.2)) :|: TRUE
eval_serpent_.critedge_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_bb4_in(v_3, v_x.0 - 1, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.1)) :|: TRUE
eval_serpent_bb4_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_bb5_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2)) :|: v_y.2 <= v_n
eval_serpent_bb4_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_.critedge1_in(v_3, v_6, v_8, v_n, v_6, v_y.2, v_y.1, v_y.2)) :|: v_y.2 > v_n
eval_serpent_bb5_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_6(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2)) :|: TRUE
eval_serpent_6(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_2(eval_nondet_start(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2), eval_serpent_7(v_3, v_6, nondef.1, v_n, v_x.0, v_y.0, v_y.1, v_y.2)) :|: TRUE
eval_serpent_7(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_bb6_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2)) :|: v_8 > 0
eval_serpent_7(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_.critedge1_in(v_3, v_6, v_8, v_n, v_6, v_y.2, v_y.1, v_y.2)) :|: v_8 <= 0
eval_serpent_bb6_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_bb4_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2 + 1)) :|: TRUE
eval_serpent_bb7_in(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2) -> Com_1(eval_serpent_stop(v_3, v_6, v_8, v_n, v_x.0, v_y.0, v_y.1, v_y.2)) :|: TRUE

The start-symbols are:[eval_serpent_start_8]