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


--------------------------------------------------------------------------------


YES

Problem:
 f(s(x),y) -> f(x,s(s(x)))
 f(x,s(s(y))) -> f(y,x)

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [f](x0, x1) = 4x0 + x1 + 1,
   
   [s](x0) = 2x0 + 2
  orientation:
   f(s(x),y) = 8x + y + 9 >= 8x + 7 = f(x,s(s(x)))
   
   f(x,s(s(y))) = 4x + 4y + 7 >= x + 4y + 1 = f(y,x)
  problem:
   
  Qed