/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES

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

Proof:
 DP Processor:
  DPs:
   quot#(s(x),s(y),z) -> quot#(x,y,z)
   quot#(x,0(),s(z)) -> quot#(x,s(z),s(z))
  TRS:
   quot(0(),s(y),s(z)) -> 0()
   quot(s(x),s(y),z) -> quot(x,y,z)
   quot(x,0(),s(z)) -> s(quot(x,s(z),s(z)))
  Subterm Criterion Processor:
   simple projection:
    pi(quot#) = 0
   problem:
    DPs:
     quot#(x,0(),s(z)) -> quot#(x,s(z),s(z))
    TRS:
     quot(0(),s(y),s(z)) -> 0()
     quot(s(x),s(y),z) -> quot(x,y,z)
     quot(x,0(),s(z)) -> s(quot(x,s(z),s(z)))
   EDG Processor:
    DPs:
     quot#(x,0(),s(z)) -> quot#(x,s(z),s(z))
    TRS:
     quot(0(),s(y),s(z)) -> 0()
     quot(s(x),s(y),z) -> quot(x,y,z)
     quot(x,0(),s(z)) -> s(quot(x,s(z),s(z)))
    graph:
     
    SCC Processor:
     #sccs: 0
     #rules: 0
     #arcs: 0/1