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)))
  Bounds Processor:
   bound: 2
   enrichment: match-dp
   automaton:
    final states: {7}
    transitions:
     h{#,1}(21,35) -> 7,3
     h{#,1}(6,35) -> 3,6,7
     h{#,1}(1,35) -> 3*
     h{#,1}(28,1) -> 3,6,7
     h{#,1}(28,3) -> 3,6,7
     h{#,1}(28,5) -> 3,6,7
     h{#,1}(21,55) -> 3,6,7
     h{#,1}(29,2) -> 7*
     h{#,1}(29,4) -> 7*
     h{#,1}(68,35) -> 3,6,7
     h{#,1}(58,35) -> 3,6,7
     h{#,1}(28,35) -> 3,6,7
     h{#,1}(3,35) -> 3*
     h{#,1}(28,55) -> 3,6,7
     h{#,1}(21,2) -> 7,3
     h{#,1}(21,4) -> 7,3
     h{#,1}(5,35) -> 3*
     h{#,1}(27,1) -> 3*
     h{#,1}(27,3) -> 3*
     h{#,1}(27,5) -> 3*
     h{#,1}(68,6) -> 7,3,6
     h{#,1}(58,6) -> 3,6,7
     h{#,1}(28,2) -> 3,6,7
     h{#,1}(28,4) -> 3,6,7
     h{#,1}(62,35) -> 3,6,7
     h{#,1}(37,35) -> 7*
     h{#,1}(27,35) -> 7,3
     h{#,1}(21,56) -> 3,6,7
     h{#,1}(2,35) -> 3*
     h{#,1}(29,1) -> 7*
     h{#,1}(29,3) -> 7*
     h{#,1}(29,5) -> 7*
     h{#,1}(27,55) -> 7*
     h{#,1}(64,35) -> 3,6
     h{#,1}(39,35) -> 3,6,7
     h{#,1}(29,35) -> 3,6,7
     h{#,1}(28,56) -> 3,6,7
     h{#,1}(9,35) -> 3,6,7
     h{#,1}(4,35) -> 3*
     h{#,1}(21,1) -> 7,3
     h{#,1}(21,3) -> 7,3
     h{#,1}(21,5) -> 7,3
     h{#,1}(27,2) -> 3*
     h{#,1}(27,4) -> 3*
     h{#,1}(61,35) -> 7*
     c1(6,35) -> 32*
     c1(26,39) -> 21*
     c1(20,58) -> 28*
     c1(5,56) -> 32*
     c1(57,28) -> 58*
     c1(20,62) -> 28*
     c1(20,64) -> 21*
     c1(3,1) -> 32*
     c1(3,3) -> 32*
     c1(20,68) -> 21*
     c1(3,5) -> 32*
     c1(1,55) -> 32*
     c1(26,65) -> 21*
     c1(4,2) -> 32*
     c1(4,4) -> 32*
     c1(57,62) -> 58*
     c1(2,56) -> 32*
     c1(20,1) -> 21*
     c1(20,3) -> 21*
     c1(5,1) -> 32*
     c1(20,5) -> 21*
     c1(5,3) -> 32*
     c1(5,5) -> 32*
     c1(20,9) -> 28*
     c1(34,32) -> 35*
     c1(3,55) -> 32*
     c1(26,2) -> 27*
     c1(20,21) -> 21*
     c1(26,4) -> 21*
     c1(1,2) -> 32*
     c1(20,27) -> 21*
     c1(1,4) -> 32*
     c1(6,6) -> 32*
     c1(20,29) -> 28*
     c1(20,39) -> 21*
     c1(4,56) -> 32*
     c1(2,1) -> 32*
     c1(2,3) -> 32*
     c1(26,28) -> 28*
     c1(2,5) -> 32*
     c1(57,21) -> 58*
     c1(5,55) -> 32*
     c1(57,27) -> 58*
     c1(20,65) -> 21*
     c1(3,2) -> 32*
     c1(3,4) -> 32*
     c1(57,39) -> 68*
     c1(26,58) -> 28*
     c1(1,56) -> 32*
     c1(26,62) -> 28*
     c1(26,64) -> 21*
     c1(4,1) -> 32*
     c1(4,3) -> 32*
     c1(26,68) -> 21*
     c1(4,5) -> 32*
     c1(2,55) -> 32*
     c1(20,2) -> 21*
     c1(20,4) -> 21*
     c1(5,2) -> 32*
     c1(5,4) -> 32*
     c1(34,35) -> 35*
     c1(3,56) -> 32*
     c1(26,1) -> 21*
     c1(26,3) -> 21*
     c1(26,5) -> 21*
     c1(1,1) -> 32*
     c1(1,3) -> 32*
     c1(26,9) -> 29*
     c1(20,28) -> 28*
     c1(1,5) -> 32*
     c1(4,55) -> 32*
     c1(26,21) -> 21*
     c1(2,2) -> 32*
     c1(26,27) -> 21*
     c1(2,4) -> 32*
     c1(26,29) -> 28*
     s1(5) -> 20*
     s1(2) -> 20*
     s1(4) -> 26*
     s1(6) -> 57*
     s1(1) -> 26*
     s1(33) -> 34*
     s1(3) -> 20*
     01() -> 33*
     h{#,2}(37,32) -> 7,3,6
     h{#,2}(64,6) -> 3,6,7
     h{#,2}(39,2) -> 7,3,6
     h{#,2}(39,4) -> 7,3,6
     h{#,2}(62,56) -> 3,6,7
     h{#,2}(65,35) -> 7,3,6
     h{#,2}(39,56) -> 3,6,7
     h{#,2}(62,1) -> 3,6,7
     h{#,2}(62,3) -> 3,6,7
     h{#,2}(62,5) -> 3,6,7
     h{#,2}(61,32) -> 3,6,7
     h{#,2}(37,35) -> 3,6,7
     h{#,2}(39,1) -> 7,3,6
     h{#,2}(39,3) -> 7,3,6
     h{#,2}(39,5) -> 7,3,6
     h{#,2}(62,55) -> 3,6,7
     h{#,2}(65,6) -> 3,6,7
     h{#,2}(64,35) -> 3,6,7
     h{#,2}(39,55) -> 7,3,6
     h{#,2}(62,2) -> 3,6,7
     h{#,2}(62,4) -> 3,6,7
     h{#,2}(61,35) -> 3,6,7
     c2(36,37) -> 37*
     c2(36,39) -> 37*
     c2(36,61) -> 61*
     c2(36,65) -> 37*
     c2(63,37) -> 65*
     c2(38,37) -> 39*
     c2(63,61) -> 64*
     c2(38,61) -> 62*
     c2(36,2) -> 37*
     c2(36,4) -> 37*
     c2(36,6) -> 61*
     c2(36,28) -> 61*
     c2(36,58) -> 61*
     c2(36,62) -> 61*
     c2(36,64) -> 61*
     c2(36,68) -> 37*
     c2(36,1) -> 37*
     c2(36,3) -> 37*
     c2(36,5) -> 37*
     c2(36,9) -> 61*
     c2(36,21) -> 37*
     c2(36,27) -> 37*
     c2(36,29) -> 61*
     h{#,0}(5,56) -> 7*
     h{#,0}(3,1) -> 3*
     h{#,0}(3,3) -> 3*
     h{#,0}(3,5) -> 3*
     h{#,0}(4,2) -> 3*
     h{#,0}(4,4) -> 3*
     h{#,0}(9,6) -> 7*
     h{#,0}(2,56) -> 7*
     h{#,0}(5,1) -> 3*
     h{#,0}(5,3) -> 3*
     h{#,0}(5,5) -> 3*
     h{#,0}(1,2) -> 3*
     h{#,0}(1,4) -> 3*
     h{#,0}(4,56) -> 7*
     h{#,0}(2,1) -> 3*
     h{#,0}(2,3) -> 3*
     h{#,0}(2,5) -> 3*
     h{#,0}(3,2) -> 3*
     h{#,0}(3,4) -> 3*
     h{#,0}(1,56) -> 7*
     h{#,0}(4,1) -> 3*
     h{#,0}(4,3) -> 3*
     h{#,0}(4,5) -> 3*
     h{#,0}(5,2) -> 3*
     h{#,0}(5,4) -> 3*
     h{#,0}(3,56) -> 7*
     h{#,0}(1,1) -> 3*
     h{#,0}(1,3) -> 3*
     h{#,0}(1,5) -> 3*
     h{#,0}(2,2) -> 3*
     h{#,0}(2,4) -> 3*
     s2(5) -> 38*
     s2(2) -> 38*
     s2(34) -> 36*
     s2(4) -> 38*
     s2(6) -> 63*
     s2(1) -> 38*
     s2(3) -> 38*
     c0(5,56) -> 55*
     c0(3,1) -> 2*
     c0(3,3) -> 2*
     c0(3,5) -> 2*
     c0(1,55) -> 56*
     c0(4,2) -> 2*
     c0(4,4) -> 2*
     c0(2,56) -> 55*
     c0(5,1) -> 2*
     c0(5,3) -> 2*
     c0(5,5) -> 2*
     c0(1,2) -> 2*
     c0(1,4) -> 2*
     c0(6,6) -> 55*
     c0(4,56) -> 55*
     c0(2,1) -> 2*
     c0(2,3) -> 2*
     c0(2,5) -> 2*
     c0(3,2) -> 2*
     c0(3,4) -> 2*
     c0(8,6) -> 9*
     c0(1,56) -> 55*
     c0(4,1) -> 2*
     c0(4,3) -> 2*
     c0(4,5) -> 2*
     c0(5,2) -> 2*
     c0(5,4) -> 2*
     c0(3,56) -> 55*
     c0(1,1) -> 2*
     c0(1,3) -> 2*
     c0(1,5) -> 2*
     c0(2,2) -> 2*
     c0(2,4) -> 2*
     s0(5) -> 1*
     s0(2) -> 1*
     s0(4) -> 1*
     s0(6) -> 8*
     s0(1) -> 1*
     s0(3) -> 1*
     00() -> 4*
     h0(3,1) -> 5*
     h0(3,3) -> 5*
     h0(3,5) -> 5*
     h0(4,2) -> 5*
     h0(4,4) -> 5*
     h0(5,1) -> 5*
     h0(5,3) -> 5*
     h0(5,5) -> 5*
     h0(1,2) -> 5*
     h0(1,4) -> 5*
     h0(2,1) -> 5*
     h0(2,3) -> 5*
     h0(2,5) -> 5*
     h0(3,2) -> 5*
     h0(3,4) -> 5*
     h0(4,1) -> 5*
     h0(4,3) -> 5*
     h0(4,5) -> 5*
     h0(5,2) -> 5*
     h0(5,4) -> 5*
     h0(1,1) -> 5*
     h0(1,3) -> 5*
     h0(1,5) -> 5*
     h0(2,2) -> 5*
     h0(2,4) -> 5*
     1 -> 6*
     2 -> 6*
     3 -> 6*
     4 -> 6*
     5 -> 6*
   problem:
    DPs:
     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)))
   Subterm Criterion Processor:
    simple projection:
     pi(h#) = 0
    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