MAYBE

Problem:
 plus(s(X),plus(Y,Z)) -> plus(X,plus(s(s(Y)),Z))
 plus(s(X1),plus(X2,plus(X3,X4))) -> plus(X1,plus(X3,plus(X2,X4)))

Proof:
 RT Transformation Processor:
  strict:
   plus(s(X),plus(Y,Z)) -> plus(X,plus(s(s(Y)),Z))
   plus(s(X1),plus(X2,plus(X3,X4))) -> plus(X1,plus(X3,plus(X2,X4)))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [plus](x0, x1) = x0 + x1 + 2,
    
    [s](x0) = x0 + 16
   orientation:
    plus(s(X),plus(Y,Z)) = X + Y + Z + 20 >= X + Y + Z + 36 = plus(X,plus(s(s(Y)),Z))
    
    plus(s(X1),plus(X2,plus(X3,X4))) = X1 + X2 + X3 + X4 + 22 >= X1 + X2 + X3 + X4 + 6 = plus(X1,plus(X3,plus(X2,X4)))
   problem:
    strict:
     plus(s(X),plus(Y,Z)) -> plus(X,plus(s(s(Y)),Z))
    weak:
     plus(s(X1),plus(X2,plus(X3,X4))) -> plus(X1,plus(X3,plus(X2,X4)))
   Open