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


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NO

Problem:
 U104(tt()) -> plus(x(N,M),N)
 U72(tt()) -> N
 U84(tt()) -> s(plus(N,M))
 U101(tt()) -> U102(isNatKind())
 U102(tt()) -> U103(isNat())
 U103(tt()) -> U104(isNatKind())
 U11(tt()) -> U12(isNatKind())
 U12(tt()) -> U13(isNatKind())
 U13(tt()) -> U14(isNatKind())
 U14(tt()) -> U15(isNat())
 U15(tt()) -> U16(isNat())
 U16(tt()) -> tt()
 U21(tt()) -> U22(isNatKind())
 U22(tt()) -> U23(isNat())
 U23(tt()) -> tt()
 U31(tt()) -> U32(isNatKind())
 U32(tt()) -> U33(isNatKind())
 U33(tt()) -> U34(isNatKind())
 U34(tt()) -> U35(isNat())
 U35(tt()) -> U36(isNat())
 U36(tt()) -> tt()
 U41(tt()) -> U42(isNatKind())
 U42(tt()) -> tt()
 U51(tt()) -> tt()
 U61(tt()) -> U62(isNatKind())
 U62(tt()) -> tt()
 U71(tt()) -> U72(isNatKind())
 U81(tt()) -> U82(isNatKind())
 U82(tt()) -> U83(isNat())
 U83(tt()) -> U84(isNatKind())
 U91(tt()) -> U92(isNatKind())
 U92(tt()) -> 0()
 isNat() -> tt()
 isNat() -> U11(isNatKind())
 isNat() -> U21(isNatKind())
 isNat() -> U31(isNatKind())
 isNatKind() -> tt()
 isNatKind() -> U41(isNatKind())
 isNatKind() -> U51(isNatKind())
 isNatKind() -> U61(isNatKind())
 plus(N,0()) -> U71(isNat())
 plus(N,s(M)) -> U81(isNat())
 x(N,0()) -> U91(isNat())
 x(N,s(M)) -> U101(isNat())

Proof:
 Fresh Variable Processor:
  loop length: 1
  terms:
   U104(tt())
  context: plus(x([],M),U104(tt()))
  substitution:
   N -> U104(tt())
  Qed