/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,1()) -> x
 *(1(),y) -> y
 *(i(x),x) -> 1()
 *(x,i(x)) -> 1()
 *(x,*(y,z)) -> *(*(x,y),z)
 i(1()) -> 1()
 *(*(x,y),i(y)) -> x
 *(*(x,i(y)),y) -> x
 i(i(x)) -> x
 i(*(x,y)) -> *(i(y),i(x))
 k(x,1()) -> 1()
 k(x,x) -> 1()
 *(k(x,y),k(y,x)) -> 1()
 *(*(i(x),k(y,z)),x) -> k(*(*(i(x),y),x),*(*(i(x),z),x))
 k(*(x,i(y)),*(y,i(x))) -> 1()

Proof:
 Reflection Processor:
  *(1(),x) -> x
  *(y,1()) -> y
  *(x,i(x)) -> 1()
  *(i(x),x) -> 1()
  *(*(z,y),x) -> *(z,*(y,x))
  i(1()) -> 1()
  *(i(y),*(y,x)) -> x
  *(y,*(i(y),x)) -> x
  i(i(x)) -> x
  i(*(y,x)) -> *(i(x),i(y))
  k(1(),x) -> 1()
  k(x,x) -> 1()
  *(k(x,y),k(y,x)) -> 1()
  *(x,*(k(z,y),i(x))) -> k(*(x,*(z,i(x))),*(x,*(y,i(x))))
  k(*(i(x),y),*(i(y),x)) -> 1()
  LPO Processor:
   precedence:
    i > * > k > 1
   problem:
    
   Qed