(GOAL COMPLEXITY)
(STARTTERM (FUNCTIONSYMBOLS eval_ndecr_start))
(VAR v_0 v_i_0 v_n)
(RULES
  eval_ndecr_start(v_0, v_i_0, v_n) -> Com_1(eval_ndecr_bb0_in(v_0, v_i_0, v_n))
  eval_ndecr_bb0_in(v_0, v_i_0, v_n) -> Com_1(eval_ndecr_0(v_0, v_i_0, v_n))
  eval_ndecr_0(v_0, v_i_0, v_n) -> Com_1(eval_ndecr_1(v_0, v_i_0, v_n))
  eval_ndecr_1(v_0, v_i_0, v_n) -> Com_1(eval_ndecr_2(v_n - 1, v_i_0, v_n))
  eval_ndecr_2(v_0, v_i_0, v_n) -> Com_1(eval_ndecr_3(v_0, v_i_0, v_n)) [ v_0 - v_n + 1 >= 0 /\ -v_0 + v_n - 1 >= 0 ]
  eval_ndecr_3(v_0, v_i_0, v_n) -> Com_1(eval_ndecr_4(v_0, v_i_0, v_n)) [ v_0 - v_n + 1 >= 0 /\ -v_0 + v_n - 1 >= 0 ]
  eval_ndecr_4(v_0, v_i_0, v_n) -> Com_1(eval_ndecr_bb1_in(v_0, v_0, v_n)) [ v_0 - v_n + 1 >= 0 /\ -v_0 + v_n - 1 >= 0 ]
  eval_ndecr_bb1_in(v_0, v_i_0, v_n) -> Com_1(eval_ndecr_bb2_in(v_0, v_i_0, v_n)) [ v_0 - v_n + 1 >= 0 /\ -v_i_0 + v_n - 1 >= 0 /\ -v_0 + v_n - 1 >= 0 /\ v_0 - v_i_0 >= 0 /\ v_i_0 > 1 ]
  eval_ndecr_bb1_in(v_0, v_i_0, v_n) -> Com_1(eval_ndecr_bb3_in(v_0, v_i_0, v_n)) [ v_0 - v_n + 1 >= 0 /\ -v_i_0 + v_n - 1 >= 0 /\ -v_0 + v_n - 1 >= 0 /\ v_0 - v_i_0 >= 0 /\ v_i_0 <= 1 ]
  eval_ndecr_bb2_in(v_0, v_i_0, v_n) -> Com_1(eval_ndecr_bb1_in(v_0, v_i_0 - 1, v_n)) [ v_0 - v_n + 1 >= 0 /\ v_n - 3 >= 0 /\ v_i_0 + v_n - 5 >= 0 /\ -v_i_0 + v_n - 1 >= 0 /\ v_0 + v_n - 5 >= 0 /\ -v_0 + v_n - 1 >= 0 /\ v_0 - v_i_0 >= 0 /\ v_i_0 - 2 >= 0 /\ v_0 + v_i_0 - 4 >= 0 /\ v_0 - 2 >= 0 ]
  eval_ndecr_bb3_in(v_0, v_i_0, v_n) -> Com_1(eval_ndecr_stop(v_0, v_i_0, v_n)) [ v_0 - v_n + 1 >= 0 /\ -v_i_0 + v_n - 1 >= 0 /\ -v_0 + v_n - 1 >= 0 /\ -v_i_0 + 1 >= 0 /\ v_0 - v_i_0 >= 0 ]
)