YES

Problem:
 U11(tt(),M,N) -> U12(tt(),activate(M),activate(N))
 U12(tt(),M,N) -> s(plus(activate(N),activate(M)))
 plus(N,0()) -> N
 plus(N,s(M)) -> U11(tt(),M,N)
 activate(X) -> X

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [plus](x0, x1) = x0 + 2x1 + 1,
   
   [U11](x0, x1, x2) = x0 + 2x1 + x2 + 6,
   
   [U12](x0, x1, x2) = x0 + 2x1 + x2 + 3,
   
   [s](x0) = x0 + 6,
   
   [tt] = 7,
   
   [0] = 1,
   
   [activate](x0) = x0 + 1
  orientation:
   U11(tt(),M,N) = 2M + N + 13 >= 2M + N + 13 = U12(tt(),activate(M),activate(N))
   
   U12(tt(),M,N) = 2M + N + 10 >= 2M + N + 10 = s(plus(activate(N),activate(M)))
   
   plus(N,0()) = N + 3 >= N = N
   
   plus(N,s(M)) = 2M + N + 13 >= 2M + N + 13 = U11(tt(),M,N)
   
   activate(X) = X + 1 >= X = X
  problem:
   U11(tt(),M,N) -> U12(tt(),activate(M),activate(N))
   U12(tt(),M,N) -> s(plus(activate(N),activate(M)))
   plus(N,s(M)) -> U11(tt(),M,N)
  Matrix Interpretation Processor: dim=3
   
   interpretation:
                     [1 0 1]     [1 1 0]     [0]
    [plus](x0, x1) = [1 1 0]x0 + [0 0 1]x1 + [1]
                     [1 0 0]     [1 1 0]     [0],
    
                        [1 1 0]     [1 0 1]     [1 0 0]  
    [U11](x0, x1, x2) = [0 0 1]x0 + [1 0 0]x1 + [1 1 0]x2
                        [0 0 0]     [1 0 1]     [1 0 0]  ,
    
                        [1 0 0]     [1 0 0]     [1 1 0]     [0]
    [U12](x0, x1, x2) = [0 0 0]x0 + [1 0 0]x1 + [1 0 1]x2 + [1]
                        [0 0 0]     [1 0 0]     [1 1 0]     [0],
    
              [1 0 0]     [0]
    [s](x0) = [0 0 1]x0 + [1]
              [1 0 0]     [0],
    
           [0]
    [tt] = [1]
           [1],
    
                     [1 0 0]  
    [activate](x0) = [0 0 0]x0
                     [0 1 0]  
   orientation:
                    [1 0 1]    [1 0 0]    [1]    [1 0 0]    [1 0 0]    [0]                                    
    U11(tt(),M,N) = [1 0 0]M + [1 1 0]N + [1] >= [1 0 0]M + [1 1 0]N + [1] = U12(tt(),activate(M),activate(N))
                    [1 0 1]    [1 0 0]    [0]    [1 0 0]    [1 0 0]    [0]                                    
    
                    [1 0 0]    [1 1 0]    [0]    [1 0 0]    [1 1 0]    [0]                                   
    U12(tt(),M,N) = [1 0 0]M + [1 0 1]N + [1] >= [1 0 0]M + [1 0 0]N + [1] = s(plus(activate(N),activate(M)))
                    [1 0 0]    [1 1 0]    [0]    [1 0 0]    [1 1 0]    [0]                                   
    
                   [1 0 1]    [1 0 1]    [1]    [1 0 1]    [1 0 0]    [1]                
    plus(N,s(M)) = [1 0 0]M + [1 1 0]N + [1] >= [1 0 0]M + [1 1 0]N + [1] = U11(tt(),M,N)
                   [1 0 1]    [1 0 0]    [1]    [1 0 1]    [1 0 0]    [0]                
   problem:
    U12(tt(),M,N) -> s(plus(activate(N),activate(M)))
    plus(N,s(M)) -> U11(tt(),M,N)
   Matrix Interpretation Processor: dim=1
    
    interpretation:
     [plus](x0, x1) = x0 + x1,
     
     [U11](x0, x1, x2) = x0 + x1 + x2 + 3,
     
     [U12](x0, x1, x2) = x0 + x1 + x2 + 6,
     
     [s](x0) = x0 + 7,
     
     [tt] = 1,
     
     [activate](x0) = x0
    orientation:
     U12(tt(),M,N) = M + N + 7 >= M + N + 7 = s(plus(activate(N),activate(M)))
     
     plus(N,s(M)) = M + N + 7 >= M + N + 4 = U11(tt(),M,N)
    problem:
     U12(tt(),M,N) -> s(plus(activate(N),activate(M)))
    Matrix Interpretation Processor: dim=3
     
     interpretation:
                       [1 0 0]     [1 0 0]  
      [plus](x0, x1) = [0 1 0]x0 + [0 0 0]x1
                       [0 0 0]     [0 0 0]  ,
      
                          [1 0 0]     [1 0 0]     [1 0 0]     [1]
      [U12](x0, x1, x2) = [0 0 0]x0 + [0 0 0]x1 + [0 0 0]x2 + [0]
                          [0 0 0]     [0 0 0]     [0 1 0]     [0],
      
                [1 0 0]  
      [s](x0) = [0 0 0]x0
                [0 1 0]  ,
      
             [0]
      [tt] = [0]
             [0],
      
                       [1 0 0]  
      [activate](x0) = [0 1 0]x0
                       [0 0 0]  
     orientation:
                      [1 0 0]    [1 0 0]    [1]    [1 0 0]    [1 0 0]                                    
      U12(tt(),M,N) = [0 0 0]M + [0 0 0]N + [0] >= [0 0 0]M + [0 0 0]N = s(plus(activate(N),activate(M)))
                      [0 0 0]    [0 1 0]    [0]    [0 0 0]    [0 1 0]                                    
     problem:
      
     Qed