/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:
 f(c(X,s(Y))) -> f(c(s(X),Y))
 g(c(s(X),Y)) -> f(c(X,s(Y)))

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [g](x0) = x0 + 3,
   
   [f](x0) = x0 + 2,
   
   [c](x0, x1) = x0 + x1 + 4,
   
   [s](x0) = x0
  orientation:
   f(c(X,s(Y))) = X + Y + 6 >= X + Y + 6 = f(c(s(X),Y))
   
   g(c(s(X),Y)) = X + Y + 7 >= X + Y + 6 = f(c(X,s(Y)))
  problem:
   f(c(X,s(Y))) -> f(c(s(X),Y))
  Matrix Interpretation Processor: dim=1
   
   interpretation:
    [f](x0) = x0 + 1,
    
    [c](x0, x1) = x0 + 2x1 + 4,
    
    [s](x0) = x0 + 5
   orientation:
    f(c(X,s(Y))) = X + 2Y + 15 >= X + 2Y + 10 = f(c(s(X),Y))
   problem:
    
   Qed