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:
 Complexity 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
   max_matrix:
    1
    interpretation:
     [plus](x0, x1) = x0 + x1,
     
     [s](x0) = x0 + 1
    orientation:
     plus(s(X),plus(Y,Z)) = X + Y + Z + 1 >= X + Y + Z + 2 = plus(X,plus(s(s(Y)),Z))
     
     plus(s(X1),plus(X2,plus(X3,X4))) = X1 + X2 + X3 + X4 + 1 >= X1 + X2 + X3 + X4 = 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