/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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MAYBE

Problem:
 active(primes()) -> mark(sieve(from(s(s(0())))))
 active(from(X)) -> mark(cons(X,from(s(X))))
 active(head(cons(X,Y))) -> mark(X)
 active(tail(cons(X,Y))) -> mark(Y)
 active(if(true(),X,Y)) -> mark(X)
 active(if(false(),X,Y)) -> mark(Y)
 active(filter(s(s(X)),cons(Y,Z))) ->
 mark(if(divides(s(s(X)),Y),filter(s(s(X)),Z),cons(Y,filter(X,sieve(Y)))))
 active(sieve(cons(X,Y))) -> mark(cons(X,filter(X,sieve(Y))))
 mark(primes()) -> active(primes())
 mark(sieve(X)) -> active(sieve(mark(X)))
 mark(from(X)) -> active(from(mark(X)))
 mark(s(X)) -> active(s(mark(X)))
 mark(0()) -> active(0())
 mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
 mark(head(X)) -> active(head(mark(X)))
 mark(tail(X)) -> active(tail(mark(X)))
 mark(if(X1,X2,X3)) -> active(if(mark(X1),X2,X3))
 mark(true()) -> active(true())
 mark(false()) -> active(false())
 mark(filter(X1,X2)) -> active(filter(mark(X1),mark(X2)))
 mark(divides(X1,X2)) -> active(divides(mark(X1),mark(X2)))
 sieve(mark(X)) -> sieve(X)
 sieve(active(X)) -> sieve(X)
 from(mark(X)) -> from(X)
 from(active(X)) -> from(X)
 s(mark(X)) -> s(X)
 s(active(X)) -> s(X)
 cons(mark(X1),X2) -> cons(X1,X2)
 cons(X1,mark(X2)) -> cons(X1,X2)
 cons(active(X1),X2) -> cons(X1,X2)
 cons(X1,active(X2)) -> cons(X1,X2)
 head(mark(X)) -> head(X)
 head(active(X)) -> head(X)
 tail(mark(X)) -> tail(X)
 tail(active(X)) -> tail(X)
 if(mark(X1),X2,X3) -> if(X1,X2,X3)
 if(X1,mark(X2),X3) -> if(X1,X2,X3)
 if(X1,X2,mark(X3)) -> if(X1,X2,X3)
 if(active(X1),X2,X3) -> if(X1,X2,X3)
 if(X1,active(X2),X3) -> if(X1,X2,X3)
 if(X1,X2,active(X3)) -> if(X1,X2,X3)
 filter(mark(X1),X2) -> filter(X1,X2)
 filter(X1,mark(X2)) -> filter(X1,X2)
 filter(active(X1),X2) -> filter(X1,X2)
 filter(X1,active(X2)) -> filter(X1,X2)
 divides(mark(X1),X2) -> divides(X1,X2)
 divides(X1,mark(X2)) -> divides(X1,X2)
 divides(active(X1),X2) -> divides(X1,X2)
 divides(X1,active(X2)) -> divides(X1,X2)

Proof:
 Open