/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:
 *(x,*(y,z)) -> *(otimes(x,y),z)
 *(1(),y) -> y
 *(+(x,y),z) -> oplus(*(x,z),*(y,z))
 *(x,oplus(y,z)) -> oplus(*(x,y),*(x,z))

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