/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...
## 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 = [if^#(if(_0,_1,_2),_3,_4) -> if^#(_0,if(_1,_3,_4),if(_2,_3,_4)), if^#(if(_0,_1,_2),_3,_4) -> if^#(_1,_3,_4), if^#(if(_0,_1,_2),_3,_4) -> if^#(_2,_3,_4), if^#(_0,if(_0,_1,_2),_2) -> if^#(_0,_1,_2), if^#(_0,_1,if(_0,_1,_2)) -> if^#(_0,_1,_2)]
  TRS = {if(true,_0,_1) -> _0, if(false,_0,_1) -> _1, if(_0,_1,_1) -> _1, if(if(_0,_1,_2),_3,_4) -> if(_0,if(_1,_3,_4),if(_2,_3,_4)), if(_0,if(_0,_1,_2),_2) -> if(_0,_1,_2), if(_0,_1,if(_0,_1,_2)) -> if(_0,_1,_2)}
    ## Trying with homeomorphic embeddings... Failed!
    ## Trying with polynomial interpretations...
    Successfully decomposed the DP problem into 1 smaller problem to solve!
## Round 2 [1 DP problem]:
  ## DP problem:
  Dependency pairs = [if^#(_0,if(_0,_1,_2),_2) -> if^#(_0,_1,_2), if^#(_0,_1,if(_0,_1,_2)) -> if^#(_0,_1,_2)]
  TRS = {if(true,_0,_1) -> _0, if(false,_0,_1) -> _1, if(_0,_1,_1) -> _1, if(if(_0,_1,_2),_3,_4) -> if(_0,if(_1,_3,_4),if(_2,_3,_4)), if(_0,if(_0,_1,_2),_2) -> if(_0,_1,_2), if(_0,_1,if(_0,_1,_2)) -> if(_0,_1,_2)}
    ## 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