details

property	value
status	complete
benchmark	hydra.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n186.star.cs.uiowa.edu
space	Mixed_TRS

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.0176909 seconds
cpu usage	0.018258
user time	0.006117
system time	0.012141
max virtual memory	113188.0
max residence set size	4252.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S x:S y:S z:S) (RULES copy(0,y:S,z:S) -> f(z:S) copy(s(x:S),y:S,z:S) -> copy(x:S,y:S,cons(f(y:S),z:S)) f(cons(f(cons(nil,y:S)),z:S)) -> copy(n,y:S,z:S) f(cons(nil,y:S)) -> y:S ) Problem 1: Dependency Pairs Processor: -> Pairs: COPY(0,y:S,z:S) -> F(z:S) COPY(s(x:S),y:S,z:S) -> COPY(x:S,y:S,cons(f(y:S),z:S)) COPY(s(x:S),y:S,z:S) -> F(y:S) -> Rules: copy(0,y:S,z:S) -> f(z:S) copy(s(x:S),y:S,z:S) -> copy(x:S,y:S,cons(f(y:S),z:S)) f(cons(f(cons(nil,y:S)),z:S)) -> copy(n,y:S,z:S) f(cons(nil,y:S)) -> y:S Problem 1: SCC Processor: -> Pairs: COPY(0,y:S,z:S) -> F(z:S) COPY(s(x:S),y:S,z:S) -> COPY(x:S,y:S,cons(f(y:S),z:S)) COPY(s(x:S),y:S,z:S) -> F(y:S) -> Rules: copy(0,y:S,z:S) -> f(z:S) copy(s(x:S),y:S,z:S) -> copy(x:S,y:S,cons(f(y:S),z:S)) f(cons(f(cons(nil,y:S)),z:S)) -> copy(n,y:S,z:S) f(cons(nil,y:S)) -> y:S ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: COPY(s(x:S),y:S,z:S) -> COPY(x:S,y:S,cons(f(y:S),z:S)) ->->-> Rules: copy(0,y:S,z:S) -> f(z:S) copy(s(x:S),y:S,z:S) -> copy(x:S,y:S,cons(f(y:S),z:S)) f(cons(f(cons(nil,y:S)),z:S)) -> copy(n,y:S,z:S) f(cons(nil,y:S)) -> y:S Problem 1: Subterm Processor: -> Pairs: COPY(s(x:S),y:S,z:S) -> COPY(x:S,y:S,cons(f(y:S),z:S)) -> Rules: copy(0,y:S,z:S) -> f(z:S) copy(s(x:S),y:S,z:S) -> copy(x:S,y:S,cons(f(y:S),z:S)) f(cons(f(cons(nil,y:S)),z:S)) -> copy(n,y:S,z:S) f(cons(nil,y:S)) -> y:S ->Projection: pi(COPY) = 1 Problem 1: SCC Processor: -> Pairs: Empty -> Rules: copy(0,y:S,z:S) -> f(z:S) copy(s(x:S),y:S,z:S) -> copy(x:S,y:S,cons(f(y:S),z:S)) f(cons(f(cons(nil,y:S)),z:S)) -> copy(n,y:S,z:S) f(cons(nil,y:S)) -> y:S ->Strongly Connected Components: There is no strongly connected component The problem is finite. popout

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