/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:
 U11(tt()) -> N
 U21(tt()) -> s(plus(N,M))
 U41(tt()) -> plus(x(N,M),N)
 and(tt()) -> X
 U31(tt()) -> 0()
 isNat() -> tt()
 isNat() -> and(isNat())
 isNat() -> isNat()
 plus(N,0()) -> U11(isNat())
 plus(N,s(M)) -> U21(and(isNat()))
 x(N,0()) -> U31(isNat())
 x(N,s(M)) -> U41(and(isNat()))

Proof:
 Fresh Variable Processor: loop length: 1
                           terms:
                            U11(tt())
                           context: []
                           substitution:
                            N -> U11(tt())
  Qed