/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: sortSu(circ(sortSu(cons(te(a),sortSu(s))),sortSu(t))) -> sortSu(cons(te(msubst(te(a),sortSu(t))),sortSu(circ(sortSu(s),sortSu(t)))))
    2: sortSu(circ(sortSu(cons(sop(lift()),sortSu(s))),sortSu(cons(te(a),sortSu(t))))) -> sortSu(cons(te(a),sortSu(circ(sortSu(s),sortSu(t)))))
    3: sortSu(circ(sortSu(cons(sop(lift()),sortSu(s))),sortSu(cons(sop(lift()),sortSu(t))))) -> sortSu(cons(sop(lift()),sortSu(circ(sortSu(s),sortSu(t)))))
    4: sortSu(circ(sortSu(circ(sortSu(s),sortSu(t))),sortSu(u))) -> sortSu(circ(sortSu(s),sortSu(circ(sortSu(t),sortSu(u)))))
    5: sortSu(circ(sortSu(s),sortSu(id()))) -> sortSu(s)
    6: sortSu(circ(sortSu(id()),sortSu(s))) -> sortSu(s)
    7: sortSu(circ(sortSu(cons(sop(lift()),sortSu(s))),sortSu(circ(sortSu(cons(sop(lift()),sortSu(t))),sortSu(u))))) -> sortSu(circ(sortSu(cons(sop(lift()),sortSu(circ(sortSu(s),sortSu(t))))),sortSu(u)))
    8: te(subst(te(a),sortSu(id()))) -> te(a)
    9: te(msubst(te(a),sortSu(id()))) -> te(a)
    10: te(msubst(te(msubst(te(a),sortSu(s))),sortSu(t))) -> te(msubst(te(a),sortSu(circ(sortSu(s),sortSu(t)))))
Number of strict rules: 10
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #sortSu(circ(sortSu(cons(sop(lift()),sortSu(s))),sortSu(cons(te(a),sortSu(t))))) -> #sortSu(cons(te(a),sortSu(circ(sortSu(s),sortSu(t)))))
   #2: #sortSu(circ(sortSu(cons(sop(lift()),sortSu(s))),sortSu(cons(te(a),sortSu(t))))) -> #sortSu(circ(sortSu(s),sortSu(t)))
   #3: #sortSu(circ(sortSu(cons(sop(lift()),sortSu(s))),sortSu(circ(sortSu(cons(sop(lift()),sortSu(t))),sortSu(u))))) -> #sortSu(circ(sortSu(cons(sop(lift()),sortSu(circ(sortSu(s),sortSu(t))))),sortSu(u)))
   #4: #sortSu(circ(sortSu(cons(sop(lift()),sortSu(s))),sortSu(circ(sortSu(cons(sop(lift()),sortSu(t))),sortSu(u))))) -> #sortSu(cons(sop(lift()),sortSu(circ(sortSu(s),sortSu(t)))))
   #5: #sortSu(circ(sortSu(cons(sop(lift()),sortSu(s))),sortSu(circ(sortSu(cons(sop(lift()),sortSu(t))),sortSu(u))))) -> #sortSu(circ(sortSu(s),sortSu(t)))
   #6: #te(msubst(te(msubst(te(a),sortSu(s))),sortSu(t))) -> #te(msubst(te(a),sortSu(circ(sortSu(s),sortSu(t)))))
   #7: #te(msubst(te(msubst(te(a),sortSu(s))),sortSu(t))) -> #sortSu(circ(sortSu(s),sortSu(t)))
   #8: #sortSu(circ(sortSu(cons(sop(lift()),sortSu(s))),sortSu(cons(sop(lift()),sortSu(t))))) -> #sortSu(cons(sop(lift()),sortSu(circ(sortSu(s),sortSu(t)))))
   #9: #sortSu(circ(sortSu(cons(sop(lift()),sortSu(s))),sortSu(cons(sop(lift()),sortSu(t))))) -> #sortSu(circ(sortSu(s),sortSu(t)))
   #10: #sortSu(circ(sortSu(cons(te(a),sortSu(s))),sortSu(t))) -> #sortSu(cons(te(msubst(te(a),sortSu(t))),sortSu(circ(sortSu(s),sortSu(t)))))
   #11: #sortSu(circ(sortSu(cons(te(a),sortSu(s))),sortSu(t))) -> #te(msubst(te(a),sortSu(t)))
   #12: #sortSu(circ(sortSu(cons(te(a),sortSu(s))),sortSu(t))) -> #sortSu(circ(sortSu(s),sortSu(t)))
   #13: #sortSu(circ(sortSu(circ(sortSu(s),sortSu(t))),sortSu(u))) -> #sortSu(circ(sortSu(s),sortSu(circ(sortSu(t),sortSu(u)))))
   #14: #sortSu(circ(sortSu(circ(sortSu(s),sortSu(t))),sortSu(u))) -> #sortSu(circ(sortSu(t),sortSu(u)))
Number of SCCs: 1, DPs: 10
	SCC { #2 #3 #5..7 #9 #11..14 }
Sum... Max... QLPOpS... NegMaxSum... succeeded.
  sortSu(x1)		w: (max{0, 16 + x1})
  sop(x1)		w: (max{0, -18 + x1})
  #te(x1)		w: (max{0, 22135 + x1})
  #sortSu(x1)		w: (max{0, 22141 + x1})
  lift()		w: (0)
  msubst(x1,x2)		w: (max{0, -20 + x2 + x1})
  subst(x1,x2)		w: (max{0, -25 + x2 + x1})
  te(x1)		w: (max{0, 25 + x1})
  cons(x1,x2)		w: (max{0, 3 + x2, 20 + x1})
  id()		w: (0)
  circ(x1,x2)		w: (max{0, -11 + x2 + x1})
    USABLE RULES: { 1..10 }
    Removed DPs: #2 #3 #5 #7 #9 #11 #12 #14
Number of SCCs: 2, DPs: 2
	SCC { #13 }
Sum... Max... QLPOpS... succeeded.
  sortSu(x1)	1[x1]
  sop(x1)	0[x1]
  #te(x1)	0[]
  #sortSu(x1)	0[x1]
  lift()	1
  msubst(x1,x2)	0[]
  subst(x1,x2)	0[x1]
  te(x1)	0[]
  cons(x1,x2)	0[]
  id()	0
  circ(x1,x2)	2[x1,x2]
    USABLE RULES: { 1..7 }
    Removed DPs: #13
Number of SCCs: 1, DPs: 1
	SCC { #6 }
Sum... succeeded.
  sortSu(x1)		w: (841)
  sop(x1)		w: (16908)
  #te(x1)		w: (1 + x1)
  #sortSu(x1)		w: (0)
  lift()		w: (1)
  msubst(x1,x2)		w: (552 + x1)
  subst(x1,x2)		w: (x1)
  te(x1)		w: (39 + x1)
  cons(x1,x2)		w: (1)
  id()		w: (1)
  circ(x1,x2)		w: (18588)
    USABLE RULES: { 8..10 }
    Removed DPs: #6
Number of SCCs: 0, DPs: 0