/export/starexec/sandbox/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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YES

Problem:
 D(t()) -> 1()
 D(constant()) -> 0()
 D(+(x,y)) -> +(D(x),D(y))
 D(*(x,y)) -> +(*(y,D(x)),*(x,D(y)))
 D(-(x,y)) -> -(D(x),D(y))
 D(minus(x)) -> minus(D(x))
 D(div(x,y)) -> -(div(D(x),y),div(*(x,D(y)),pow(y,2())))
 D(ln(x)) -> div(D(x),x)
 D(pow(x,y)) -> +(*(*(y,pow(x,-(y,1()))),D(x)),*(*(pow(x,y),ln(x)),D(y)))

Proof:
 DP Processor:
  DPs:
   D#(+(x,y)) -> D#(y)
   D#(+(x,y)) -> D#(x)
   D#(*(x,y)) -> D#(y)
   D#(*(x,y)) -> D#(x)
   D#(-(x,y)) -> D#(y)
   D#(-(x,y)) -> D#(x)
   D#(minus(x)) -> D#(x)
   D#(div(x,y)) -> D#(y)
   D#(div(x,y)) -> D#(x)
   D#(ln(x)) -> D#(x)
   D#(pow(x,y)) -> D#(y)
   D#(pow(x,y)) -> D#(x)
  TRS:
   D(t()) -> 1()
   D(constant()) -> 0()
   D(+(x,y)) -> +(D(x),D(y))
   D(*(x,y)) -> +(*(y,D(x)),*(x,D(y)))
   D(-(x,y)) -> -(D(x),D(y))
   D(minus(x)) -> minus(D(x))
   D(div(x,y)) -> -(div(D(x),y),div(*(x,D(y)),pow(y,2())))
   D(ln(x)) -> div(D(x),x)
   D(pow(x,y)) -> +(*(*(y,pow(x,-(y,1()))),D(x)),*(*(pow(x,y),ln(x)),D(y)))
  Subterm Criterion Processor:
   simple projection:
    pi(D#) = 0
   problem:
    DPs:
     
    TRS:
     D(t()) -> 1()
     D(constant()) -> 0()
     D(+(x,y)) -> +(D(x),D(y))
     D(*(x,y)) -> +(*(y,D(x)),*(x,D(y)))
     D(-(x,y)) -> -(D(x),D(y))
     D(minus(x)) -> minus(D(x))
     D(div(x,y)) -> -(div(D(x),y),div(*(x,D(y)),pow(y,2())))
     D(ln(x)) -> div(D(x),x)
     D(pow(x,y)) -> +(*(*(y,pow(x,-(y,1()))),D(x)),*(*(pow(x,y),ln(x)),D(y)))
   Qed