details

property	value
status	complete
benchmark	lse.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n074.star.cs.uiowa.edu
space	CiME_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	28.5732 seconds
cpu usage	27.0557
user time	21.8369
system time	5.21879
max virtual memory	717008.0
max residence set size	13924.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S k:S m:S n:S psi:S s:S t:S u:S x:S xi:S y:S) (RULES Concat(Concat(s:S,t:S),u:S) -> Concat(s:S,Concat(t:S,u:S)) Concat(Cons_sum(xi:S,k:S,s:S),t:S) -> Cons_sum(xi:S,k:S,Concat(s:S,t:S)) Concat(Cons_usual(x:S,m:S,s:S),t:S) -> Cons_usual(x:S,Term_sub(m:S,t:S),Concat(s:S,t:S)) Concat(Id,s:S) -> s:S Frozen(m:S,Sum_constant(Left),n:S,s:S) -> Term_sub(m:S,s:S) Frozen(m:S,Sum_constant(Right),n:S,s:S) -> Term_sub(n:S,s:S) Frozen(m:S,Sum_term_var(xi:S),n:S,s:S) -> Case(Term_sub(m:S,s:S),xi:S,Term_sub(n:S,s:S)) Sum_sub(xi:S,Cons_sum(psi:S,k:S,s:S)) -> Sum_sub(xi:S,s:S) Sum_sub(xi:S,Cons_sum(psi:S,k:S,s:S)) -> Sum_constant(k:S) Sum_sub(xi:S,Cons_usual(y:S,m:S,s:S)) -> Sum_sub(xi:S,s:S) Sum_sub(xi:S,Id) -> Sum_term_var(xi:S) Term_sub(Term_sub(m:S,s:S),t:S) -> Term_sub(m:S,Concat(s:S,t:S)) Term_sub(Case(m:S,xi:S,n:S),s:S) -> Frozen(m:S,Sum_sub(xi:S,s:S),n:S,s:S) Term_sub(Term_app(m:S,n:S),s:S) -> Term_app(Term_sub(m:S,s:S),Term_sub(n:S,s:S)) Term_sub(Term_inl(m:S),s:S) -> Term_inl(Term_sub(m:S,s:S)) Term_sub(Term_inr(m:S),s:S) -> Term_inr(Term_sub(m:S,s:S)) Term_sub(Term_pair(m:S,n:S),s:S) -> Term_pair(Term_sub(m:S,s:S),Term_sub(n:S,s:S)) Term_sub(Term_var(x:S),Cons_sum(xi:S,k:S,s:S)) -> Term_sub(Term_var(x:S),s:S) Term_sub(Term_var(x:S),Cons_usual(y:S,m:S,s:S)) -> Term_sub(Term_var(x:S),s:S) Term_sub(Term_var(x:S),Cons_usual(y:S,m:S,s:S)) -> m:S Term_sub(Term_var(x:S),Id) -> Term_var(x:S) ) Problem 1: Dependency Pairs Processor: -> Pairs: CONCAT(Concat(s:S,t:S),u:S) -> CONCAT(s:S,Concat(t:S,u:S)) CONCAT(Concat(s:S,t:S),u:S) -> CONCAT(t:S,u:S) CONCAT(Cons_sum(xi:S,k:S,s:S),t:S) -> CONCAT(s:S,t:S) CONCAT(Cons_usual(x:S,m:S,s:S),t:S) -> CONCAT(s:S,t:S) CONCAT(Cons_usual(x:S,m:S,s:S),t:S) -> TERM_SUB(m:S,t:S) FROZEN(m:S,Sum_constant(Left),n:S,s:S) -> TERM_SUB(m:S,s:S) FROZEN(m:S,Sum_constant(Right),n:S,s:S) -> TERM_SUB(n:S,s:S) FROZEN(m:S,Sum_term_var(xi:S),n:S,s:S) -> TERM_SUB(m:S,s:S) FROZEN(m:S,Sum_term_var(xi:S),n:S,s:S) -> TERM_SUB(n:S,s:S) SUM_SUB(xi:S,Cons_sum(psi:S,k:S,s:S)) -> SUM_SUB(xi:S,s:S) SUM_SUB(xi:S,Cons_usual(y:S,m:S,s:S)) -> SUM_SUB(xi:S,s:S) TERM_SUB(Term_sub(m:S,s:S),t:S) -> CONCAT(s:S,t:S) TERM_SUB(Term_sub(m:S,s:S),t:S) -> TERM_SUB(m:S,Concat(s:S,t:S)) TERM_SUB(Case(m:S,xi:S,n:S),s:S) -> FROZEN(m:S,Sum_sub(xi:S,s:S),n:S,s:S) TERM_SUB(Case(m:S,xi:S,n:S),s:S) -> SUM_SUB(xi:S,s:S) TERM_SUB(Term_app(m:S,n:S),s:S) -> TERM_SUB(m:S,s:S) TERM_SUB(Term_app(m:S,n:S),s:S) -> TERM_SUB(n:S,s:S) TERM_SUB(Term_inl(m:S),s:S) -> TERM_SUB(m:S,s:S) TERM_SUB(Term_inr(m:S),s:S) -> TERM_SUB(m:S,s:S) TERM_SUB(Term_pair(m:S,n:S),s:S) -> TERM_SUB(m:S,s:S) TERM_SUB(Term_pair(m:S,n:S),s:S) -> TERM_SUB(n:S,s:S) TERM_SUB(Term_var(x:S),Cons_sum(xi:S,k:S,s:S)) -> TERM_SUB(Term_var(x:S),s:S) TERM_SUB(Term_var(x:S),Cons_usual(y:S,m:S,s:S)) -> TERM_SUB(Term_var(x:S),s:S) -> Rules: Concat(Concat(s:S,t:S),u:S) -> Concat(s:S,Concat(t:S,u:S)) Concat(Cons_sum(xi:S,k:S,s:S),t:S) -> Cons_sum(xi:S,k:S,Concat(s:S,t:S)) Concat(Cons_usual(x:S,m:S,s:S),t:S) -> Cons_usual(x:S,Term_sub(m:S,t:S),Concat(s:S,t:S)) Concat(Id,s:S) -> s:S Frozen(m:S,Sum_constant(Left),n:S,s:S) -> Term_sub(m:S,s:S) Frozen(m:S,Sum_constant(Right),n:S,s:S) -> Term_sub(n:S,s:S) Frozen(m:S,Sum_term_var(xi:S),n:S,s:S) -> Case(Term_sub(m:S,s:S),xi:S,Term_sub(n:S,s:S)) Sum_sub(xi:S,Cons_sum(psi:S,k:S,s:S)) -> Sum_sub(xi:S,s:S) Sum_sub(xi:S,Cons_sum(psi:S,k:S,s:S)) -> Sum_constant(k:S) Sum_sub(xi:S,Cons_usual(y:S,m:S,s:S)) -> Sum_sub(xi:S,s:S) Sum_sub(xi:S,Id) -> Sum_term_var(xi:S) Term_sub(Term_sub(m:S,s:S),t:S) -> Term_sub(m:S,Concat(s:S,t:S)) Term_sub(Case(m:S,xi:S,n:S),s:S) -> Frozen(m:S,Sum_sub(xi:S,s:S),n:S,s:S) Term_sub(Term_app(m:S,n:S),s:S) -> Term_app(Term_sub(m:S,s:S),Term_sub(n:S,s:S)) Term_sub(Term_inl(m:S),s:S) -> Term_inl(Term_sub(m:S,s:S)) Term_sub(Term_inr(m:S),s:S) -> Term_inr(Term_sub(m:S,s:S)) Term_sub(Term_pair(m:S,n:S),s:S) -> Term_pair(Term_sub(m:S,s:S),Term_sub(n:S,s:S)) Term_sub(Term_var(x:S),Cons_sum(xi:S,k:S,s:S)) -> Term_sub(Term_var(x:S),s:S) Term_sub(Term_var(x:S),Cons_usual(y:S,m:S,s:S)) -> Term_sub(Term_var(x:S),s:S) Term_sub(Term_var(x:S),Cons_usual(y:S,m:S,s:S)) -> m:S Term_sub(Term_var(x:S),Id) -> Term_var(x:S) Problem 1: SCC Processor: -> Pairs: CONCAT(Concat(s:S,t:S),u:S) -> CONCAT(s:S,Concat(t:S,u:S)) CONCAT(Concat(s:S,t:S),u:S) -> CONCAT(t:S,u:S) CONCAT(Cons_sum(xi:S,k:S,s:S),t:S) -> CONCAT(s:S,t:S) CONCAT(Cons_usual(x:S,m:S,s:S),t:S) -> CONCAT(s:S,t:S) CONCAT(Cons_usual(x:S,m:S,s:S),t:S) -> TERM_SUB(m:S,t:S) FROZEN(m:S,Sum_constant(Left),n:S,s:S) -> TERM_SUB(m:S,s:S) FROZEN(m:S,Sum_constant(Right),n:S,s:S) -> TERM_SUB(n:S,s:S) FROZEN(m:S,Sum_term_var(xi:S),n:S,s:S) -> TERM_SUB(m:S,s:S) FROZEN(m:S,Sum_term_var(xi:S),n:S,s:S) -> TERM_SUB(n:S,s:S) SUM_SUB(xi:S,Cons_sum(psi:S,k:S,s:S)) -> SUM_SUB(xi:S,s:S) SUM_SUB(xi:S,Cons_usual(y:S,m:S,s:S)) -> SUM_SUB(xi:S,s:S) TERM_SUB(Term_sub(m:S,s:S),t:S) -> CONCAT(s:S,t:S) TERM_SUB(Term_sub(m:S,s:S),t:S) -> TERM_SUB(m:S,Concat(s:S,t:S)) TERM_SUB(Case(m:S,xi:S,n:S),s:S) -> FROZEN(m:S,Sum_sub(xi:S,s:S),n:S,s:S) TERM_SUB(Case(m:S,xi:S,n:S),s:S) -> SUM_SUB(xi:S,s:S) TERM_SUB(Term_app(m:S,n:S),s:S) -> TERM_SUB(m:S,s:S) TERM_SUB(Term_app(m:S,n:S),s:S) -> TERM_SUB(n:S,s:S) popout

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