/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES

Problem:
 *(x,+(y,z)) -> +(*(x,y),*(x,z))
 *(+(x,y),z) -> +(*(x,z),*(y,z))
 *(x,1()) -> x
 *(1(),y) -> y

Proof:
 DP Processor:
  DPs:
   *#(x,+(y,z)) -> *#(x,z)
   *#(x,+(y,z)) -> *#(x,y)
   *#(+(x,y),z) -> *#(y,z)
   *#(+(x,y),z) -> *#(x,z)
  TRS:
   *(x,+(y,z)) -> +(*(x,y),*(x,z))
   *(+(x,y),z) -> +(*(x,z),*(y,z))
   *(x,1()) -> x
   *(1(),y) -> y
  Subterm Criterion Processor:
   simple projection:
    pi(*#) = 0
   problem:
    DPs:
     *#(x,+(y,z)) -> *#(x,z)
     *#(x,+(y,z)) -> *#(x,y)
    TRS:
     *(x,+(y,z)) -> +(*(x,y),*(x,z))
     *(+(x,y),z) -> +(*(x,z),*(y,z))
     *(x,1()) -> x
     *(1(),y) -> y
   Subterm Criterion Processor:
    simple projection:
     pi(*#) = 1
    problem:
     DPs:
      
     TRS:
      *(x,+(y,z)) -> +(*(x,y),*(x,z))
      *(+(x,y),z) -> +(*(x,z),*(y,z))
      *(x,1()) -> x
      *(1(),y) -> y
    Qed