/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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YES
Input TRS:
    1: eq(0(),0()) -> true()
    2: eq(0(),s(X)) -> false()
    3: eq(s(X),0()) -> false()
    4: eq(s(X),s(Y)) -> eq(X,Y)
    5: rm(N,nil()) -> nil()
    6: rm(N,add(M,X)) -> ifrm(eq(N,M),N,add(M,X))
    7: ifrm(true(),N,add(M,X)) -> rm(N,X)
    8: ifrm(false(),N,add(M,X)) -> add(M,rm(N,X))
    9: purge(nil()) -> nil()
    10: purge(add(N,X)) -> add(N,purge(rm(N,X)))
Number of strict rules: 10
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #rm(N,add(M,X)) -> #ifrm(eq(N,M),N,add(M,X))
   #2: #rm(N,add(M,X)) -> #eq(N,M)
   #3: #ifrm(true(),N,add(M,X)) -> #rm(N,X)
   #4: #purge(add(N,X)) -> #purge(rm(N,X))
   #5: #purge(add(N,X)) -> #rm(N,X)
   #6: #ifrm(false(),N,add(M,X)) -> #rm(N,X)
   #7: #eq(s(X),s(Y)) -> #eq(X,Y)
Number of SCCs: 3, DPs: 5
	SCC { #4 }
Sum... succeeded.
  #ifrm(x1,x2,x3)		w: (0)
  s(x1)		w: (4598 + x1)
  #purge(x1)		w: (x1)
  eq(x1,x2)		w: (1 + x2)
  false()		w: (10453)
  true()		w: (10453)
  purge(x1)		w: (0)
  #eq(x1,x2)		w: (0)
  0()		w: (10451)
  ifrm(x1,x2,x3)		w: (1 + x3 + x2)
  nil()		w: (30613)
  add(x1,x2)		w: (2 + x2 + x1)
  rm(x1,x2)		w: (1 + x2 + x1)
  #rm(x1,x2)		w: (0)
    USABLE RULES: { 5..8 }
    Removed DPs: #4
Number of SCCs: 2, DPs: 4
	SCC { #7 }
Sum... succeeded.
  #ifrm(x1,x2,x3)		w: (0)
  s(x1)		w: (1 + x1)
  #purge(x1)		w: (x1)
  eq(x1,x2)		w: (26286 + x2)
  false()		w: (26288)
  true()		w: (26288)
  purge(x1)		w: (0)
  #eq(x1,x2)		w: (x2 + x1)
  0()		w: (1)
  ifrm(x1,x2,x3)		w: (8946 + x3 + x2)
  nil()		w: (30613)
  add(x1,x2)		w: (1 + x2 + x1)
  rm(x1,x2)		w: (8946 + x2 + x1)
  #rm(x1,x2)		w: (0)
    USABLE RULES: { 5..8 }
    Removed DPs: #7
Number of SCCs: 1, DPs: 3
	SCC { #1 #3 #6 }
Sum... succeeded.
  #ifrm(x1,x2,x3)		w: (26285 + x3)
  s(x1)		w: (1 + x1)
  #purge(x1)		w: (x1)
  eq(x1,x2)		w: (25909 + x2)
  false()		w: (0)
  true()		w: (25911)
  purge(x1)		w: (0)
  #eq(x1,x2)		w: (0)
  0()		w: (1)
  ifrm(x1,x2,x3)		w: (8946 + x3 + x2)
  nil()		w: (1)
  add(x1,x2)		w: (2 + x2 + x1)
  rm(x1,x2)		w: (8946 + x2 + x1)
  #rm(x1,x2)		w: (26286 + x2)
    USABLE RULES: { 5..8 }
    Removed DPs: #1 #3 #6
Number of SCCs: 0, DPs: 0