/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


YES

** BEGIN proof argument **
All the DP problems were proved finite.
As all the involved DP processors are sound,
the TRS under analysis terminates.
** END proof argument **

** BEGIN proof description **
## Searching for a generalized rewrite rule
(a rule whose right-hand side contains a variable
that does not occur in the left-hand side)...
No generalized rewrite rule found!

## Applying the DP framework...
## 1 initial DP problem to solve.
## First, we try to decompose this problem into smaller problems.
## Round 1 [1 DP problem]:
  ## DP problem:
  Dependency pairs = [admit^#(_0,.(_1,.(_2,.(w,_3)))) -> admit^#(carry(_0,_1,_2),_3)]
  TRS = {admit(_0,nil) -> nil, admit(_0,.(_1,.(_2,.(w,_3)))) -> cond(=(sum(_0,_1,_2),w),.(_1,.(_2,.(w,admit(carry(_0,_1,_2),_3))))), cond(true,_0) -> _0}
    ## Trying with homeomorphic embeddings... Failed!
    ## Trying with polynomial interpretations... This DP problem is too complex! Aborting!
    ## Trying with lexicographic path orders...
      The constraints are satisfied by the lexicographic path order using
      the argument filtering:
      {.:[0, 1], cond:[0, 1], =:[0, 1], carry:[0, 1, 2], admit:[1], sum:[1], admit^#:[1]}
      and the  precedence:
      . > [sum, =, admit^#], admit > [., sum, cond, =, admit^#]
  This DP problem is finite.
## All the DP problems were proved finite.
As all the involved DP processors are sound,
the TRS under analysis terminates.
Proof run on Linux version 3.10.0-1160.25.1.el7.x86_64 for amd64
using Java version 1.8.0_292
** END proof description **
Total number of generated unfolded rules = 0