YES

Problem:
 h(x,c(y,z)) -> h(c(s(y),x),z)
 h(c(s(x),c(s(0()),y)),z) -> h(y,c(s(0()),c(x,z)))

Proof:
 DP Processor:
  DPs:
   h#(x,c(y,z)) -> h#(c(s(y),x),z)
   h#(c(s(x),c(s(0()),y)),z) -> h#(y,c(s(0()),c(x,z)))
  TRS:
   h(x,c(y,z)) -> h(c(s(y),x),z)
   h(c(s(x),c(s(0()),y)),z) -> h(y,c(s(0()),c(x,z)))
  Usable Rule Processor:
   DPs:
    h#(x,c(y,z)) -> h#(c(s(y),x),z)
    h#(c(s(x),c(s(0()),y)),z) -> h#(y,c(s(0()),c(x,z)))
   TRS:
    
   CDG Processor:
    DPs:
     h#(x,c(y,z)) -> h#(c(s(y),x),z)
     h#(c(s(x),c(s(0()),y)),z) -> h#(y,c(s(0()),c(x,z)))
    TRS:
     
    graph:
     h#(c(s(x),c(s(0()),y)),z) -> h#(y,c(s(0()),c(x,z))) ->
     h#(x,c(y,z)) -> h#(c(s(y),x),z)
     h#(x,c(y,z)) -> h#(c(s(y),x),z) -> h#(x,c(y,z)) -> h#(c(s(y),x),z)
    Restore Modifier:
     DPs:
      h#(x,c(y,z)) -> h#(c(s(y),x),z)
      h#(c(s(x),c(s(0()),y)),z) -> h#(y,c(s(0()),c(x,z)))
     TRS:
      h(x,c(y,z)) -> h(c(s(y),x),z)
      h(c(s(x),c(s(0()),y)),z) -> h(y,c(s(0()),c(x,z)))
     SCC Processor:
      #sccs: 1
      #rules: 1
      #arcs: 2/4
      DPs:
       h#(x,c(y,z)) -> h#(c(s(y),x),z)
      TRS:
       h(x,c(y,z)) -> h(c(s(y),x),z)
       h(c(s(x),c(s(0()),y)),z) -> h(y,c(s(0()),c(x,z)))
      Matrix Interpretation Processor:
       dimension: 1
       interpretation:
        [h#](x0, x1) = x1,
        
        [0] = 1,
        
        [s](x0) = x0,
        
        [h](x0, x1) = 0,
        
        [c](x0, x1) = x0 + x1 + 1
       orientation:
        h#(x,c(y,z)) = y + z + 1 >= z = h#(c(s(y),x),z)
        
        h(x,c(y,z)) = 0 >= 0 = h(c(s(y),x),z)
        
        h(c(s(x),c(s(0()),y)),z) = 0 >= 0 = h(y,c(s(0()),c(x,z)))
       problem:
        DPs:
         
        TRS:
         h(x,c(y,z)) -> h(c(s(y),x),z)
         h(c(s(x),c(s(0()),y)),z) -> h(y,c(s(0()),c(x,z)))
       Qed