/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/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 = [dx^#(plus(_0,_1)) -> dx^#(_0), dx^#(plus(_0,_1)) -> dx^#(_1), dx^#(times(_0,_1)) -> dx^#(_0), dx^#(times(_0,_1)) -> dx^#(_1), dx^#(minus(_0,_1)) -> dx^#(_0), dx^#(minus(_0,_1)) -> dx^#(_1), dx^#(neg(_0)) -> dx^#(_0), dx^#(div(_0,_1)) -> dx^#(_0), dx^#(div(_0,_1)) -> dx^#(_1), dx^#(ln(_0)) -> dx^#(_0), dx^#(exp(_0,_1)) -> dx^#(_0), dx^#(exp(_0,_1)) -> dx^#(_1)]
  TRS = {dx(_0) -> one, dx(a) -> zero, dx(plus(_0,_1)) -> plus(dx(_0),dx(_1)), dx(times(_0,_1)) -> plus(times(_1,dx(_0)),times(_0,dx(_1))), dx(minus(_0,_1)) -> minus(dx(_0),dx(_1)), dx(neg(_0)) -> neg(dx(_0)), dx(div(_0,_1)) -> minus(div(dx(_0),_1),times(_0,div(dx(_1),exp(_1,two)))), dx(ln(_0)) -> div(dx(_0),_0), dx(exp(_0,_1)) -> plus(times(_1,times(exp(_0,minus(_1,one)),dx(_0))),times(exp(_0,_1),times(ln(_0),dx(_1))))}
    ## 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