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


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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...
## 2 initial DP problems to solve.
## First, we try to decompose these problems into smaller problems.
## Round 1 [2 DP problems]:
  ## DP problem:
  Dependency pairs = [++^#(.(_0,_1),_2) -> ++^#(_1,_2)]
  TRS = {merge(nil,_0) -> _0, merge(_0,nil) -> _0, merge(.(_0,_1),.(_2,_3)) -> if(<(_0,_2),.(_0,merge(_1,.(_2,_3))),.(_2,merge(.(_0,_1),_3))), ++(nil,_0) -> _0, ++(.(_0,_1),_2) -> .(_0,++(_1,_2)), if(true,_0,_1) -> _0, if(false,_0,_1) -> _0}
    ## Trying with homeomorphic embeddings... Success!
  This DP problem is finite.
  ## DP problem:
  Dependency pairs = [merge^#(.(_0,_1),.(_2,_3)) -> merge^#(_1,.(_2,_3)), merge^#(.(_0,_1),.(_2,_3)) -> merge^#(.(_0,_1),_3)]
  TRS = {merge(nil,_0) -> _0, merge(_0,nil) -> _0, merge(.(_0,_1),.(_2,_3)) -> if(<(_0,_2),.(_0,merge(_1,.(_2,_3))),.(_2,merge(.(_0,_1),_3))), ++(nil,_0) -> _0, ++(.(_0,_1),_2) -> .(_0,++(_1,_2)), if(true,_0,_1) -> _0, if(false,_0,_1) -> _0}
    ## Trying with homeomorphic embeddings... Success!
  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