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TRS Innermost pair #487092892
details
property
value
status
complete
benchmark
queue.raml.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n139.star.cs.uiowa.edu
space
raML
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
18.5493 seconds
cpu usage
18.3485
user time
17.6393
system time
0.709243
max virtual memory
733628.0
max residence set size
27408.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S @_@9:S @a:S @b:S @breadth@1:S @breadth@2:S @breadth@7:S @breadth@8:S @children@3:S @children@4:S @children@5:S @children@6:S @copyover@1:S @copyover@2:S @dequeue@1:S @dequeue@2:S @dequeue@3:S @dequeue@4:S @elem:S @inq:S @l:S @l1:S @l2:S @outq:S @queue:S @queue':S @x:S @xs:S @y:S @ys:S @z:S) (RULES breadth(@breadth@1:S,@breadth@2:S) -> breadth#1(dequeue(@breadth@1:S,@breadth@2:S)) breadth#1(tuple#2(@queue':S,@elem:S)) -> breadth#2(@elem:S,@queue':S) breadth#2(::(@z:S,@_@9:S),@queue':S) -> breadth#3(breadth#4(@z:S),@queue':S) breadth#2(nil,@queue':S) -> nil breadth#3(tuple#2(@x:S,@ys:S),@queue':S) -> ::(@x:S,breadth#5(enqueues(@ys:S,@queue':S))) breadth#4(tuple#4(@children@3:S,@children@4:S,@children@5:S,@children@6:S)) -> children(@children@3:S,@children@4:S,@children@5:S,@children@6:S) breadth#5(tuple#2(@breadth@7:S,@breadth@8:S)) -> breadth(@breadth@7:S,@breadth@8:S) children(@a:S,@b:S,@l1:S,@l2:S) -> tuple#2(tuple#2(@a:S,@b:S),children#1(@l1:S,@b:S,@l2:S)) children#1(::(@x:S,@xs:S),@b:S,@l2:S) -> children#3(@l2:S,@b:S,@x:S,@xs:S) children#1(nil,@b:S,@l2:S) -> children#2(@l2:S,@b:S) children#2(::(@y:S,@ys:S),@b:S) -> ::(tuple#4(@y:S,@b:S,nil,@ys:S),nil) children#2(nil,@b:S) -> nil children#3(::(@y:S,@ys:S),@b:S,@x:S,@xs:S) -> ::(tuple#4(@x:S,@b:S,nil,@xs:S),::(tuple#4(@x:S,@y:S,@xs:S,@ys:S),nil)) children#3(nil,@b:S,@x:S,@xs:S) -> nil copyover(@copyover@1:S,@copyover@2:S) -> copyover#1(tuple#2(@copyover@1:S,@copyover@2:S)) copyover#1(tuple#2(@inq:S,@outq:S)) -> copyover#2(@inq:S,@outq:S) copyover#2(::(@x:S,@xs:S),@outq:S) -> copyover(@xs:S,::(@x:S,@outq:S)) copyover#2(nil,@outq:S) -> tuple#2(nil,@outq:S) dequeue(@dequeue@1:S,@dequeue@2:S) -> dequeue#1(tuple#2(@dequeue@1:S,@dequeue@2:S)) dequeue#1(tuple#2(@inq:S,@outq:S)) -> dequeue#2(@outq:S,@inq:S) dequeue#2(::(@y:S,@ys:S),@inq:S) -> tuple#2(tuple#2(@inq:S,@ys:S),::(@y:S,nil)) dequeue#2(nil,@inq:S) -> dequeue#3(@inq:S) dequeue#3(::(@x:S,@xs:S)) -> dequeue#4(copyover(::(@x:S,@xs:S),nil)) dequeue#3(nil) -> tuple#2(tuple#2(nil,nil),nil) dequeue#4(tuple#2(@dequeue@3:S,@dequeue@4:S)) -> dequeue(@dequeue@3:S,@dequeue@4:S) empty(@x:S) -> tuple#2(nil,nil) enqueue(@x:S,@queue:S) -> enqueue#1(@queue:S,@x:S) enqueue#1(tuple#2(@inq:S,@outq:S),@x:S) -> tuple#2(::(@x:S,@inq:S),@outq:S) enqueues(@l:S,@queue:S) -> enqueues#1(@l:S,@queue:S) enqueues#1(::(@x:S,@xs:S),@queue:S) -> enqueues(@xs:S,enqueue(@x:S,@queue:S)) enqueues#1(nil,@queue:S) -> @queue:S startBreadth(@xs:S) -> startBreadth#1(@xs:S) startBreadth#1(::(@x:S,@xs:S)) -> startBreadth#2(enqueue(tuple#4(@x:S,@x:S,@xs:S,@xs:S),empty(#unit))) startBreadth#1(nil) -> nil startBreadth#2(tuple#2(@breadth@1:S,@breadth@2:S)) -> breadth(@breadth@1:S,@breadth@2:S) ) (STRATEGY INNERMOST) Problem 1: Dependency Pairs Processor: -> Pairs: BREADTH(@breadth@1:S,@breadth@2:S) -> BREADTH#1(dequeue(@breadth@1:S,@breadth@2:S)) BREADTH(@breadth@1:S,@breadth@2:S) -> DEQUEUE(@breadth@1:S,@breadth@2:S) BREADTH#1(tuple#2(@queue':S,@elem:S)) -> BREADTH#2(@elem:S,@queue':S) BREADTH#2(::(@z:S,@_@9:S),@queue':S) -> BREADTH#3(breadth#4(@z:S),@queue':S) BREADTH#2(::(@z:S,@_@9:S),@queue':S) -> BREADTH#4(@z:S) BREADTH#3(tuple#2(@x:S,@ys:S),@queue':S) -> BREADTH#5(enqueues(@ys:S,@queue':S)) BREADTH#3(tuple#2(@x:S,@ys:S),@queue':S) -> ENQUEUES(@ys:S,@queue':S) BREADTH#4(tuple#4(@children@3:S,@children@4:S,@children@5:S,@children@6:S)) -> CHILDREN(@children@3:S,@children@4:S,@children@5:S,@children@6:S) BREADTH#5(tuple#2(@breadth@7:S,@breadth@8:S)) -> BREADTH(@breadth@7:S,@breadth@8:S) CHILDREN(@a:S,@b:S,@l1:S,@l2:S) -> CHILDREN#1(@l1:S,@b:S,@l2:S) CHILDREN#1(::(@x:S,@xs:S),@b:S,@l2:S) -> CHILDREN#3(@l2:S,@b:S,@x:S,@xs:S) CHILDREN#1(nil,@b:S,@l2:S) -> CHILDREN#2(@l2:S,@b:S) COPYOVER(@copyover@1:S,@copyover@2:S) -> COPYOVER#1(tuple#2(@copyover@1:S,@copyover@2:S)) COPYOVER#1(tuple#2(@inq:S,@outq:S)) -> COPYOVER#2(@inq:S,@outq:S) COPYOVER#2(::(@x:S,@xs:S),@outq:S) -> COPYOVER(@xs:S,::(@x:S,@outq:S)) DEQUEUE(@dequeue@1:S,@dequeue@2:S) -> DEQUEUE#1(tuple#2(@dequeue@1:S,@dequeue@2:S)) DEQUEUE#1(tuple#2(@inq:S,@outq:S)) -> DEQUEUE#2(@outq:S,@inq:S) DEQUEUE#2(nil,@inq:S) -> DEQUEUE#3(@inq:S) DEQUEUE#3(::(@x:S,@xs:S)) -> COPYOVER(::(@x:S,@xs:S),nil) DEQUEUE#3(::(@x:S,@xs:S)) -> DEQUEUE#4(copyover(::(@x:S,@xs:S),nil)) DEQUEUE#4(tuple#2(@dequeue@3:S,@dequeue@4:S)) -> DEQUEUE(@dequeue@3:S,@dequeue@4:S) ENQUEUE(@x:S,@queue:S) -> ENQUEUE#1(@queue:S,@x:S) ENQUEUES(@l:S,@queue:S) -> ENQUEUES#1(@l:S,@queue:S) ENQUEUES#1(::(@x:S,@xs:S),@queue:S) -> ENQUEUE(@x:S,@queue:S) ENQUEUES#1(::(@x:S,@xs:S),@queue:S) -> ENQUEUES(@xs:S,enqueue(@x:S,@queue:S)) STARTBREADTH(@xs:S) -> STARTBREADTH#1(@xs:S) STARTBREADTH#1(::(@x:S,@xs:S)) -> EMPTY(#unit) STARTBREADTH#1(::(@x:S,@xs:S)) -> ENQUEUE(tuple#4(@x:S,@x:S,@xs:S,@xs:S),empty(#unit)) STARTBREADTH#1(::(@x:S,@xs:S)) -> STARTBREADTH#2(enqueue(tuple#4(@x:S,@x:S,@xs:S,@xs:S),empty(#unit))) STARTBREADTH#2(tuple#2(@breadth@1:S,@breadth@2:S)) -> BREADTH(@breadth@1:S,@breadth@2:S) -> Rules: breadth(@breadth@1:S,@breadth@2:S) -> breadth#1(dequeue(@breadth@1:S,@breadth@2:S)) breadth#1(tuple#2(@queue':S,@elem:S)) -> breadth#2(@elem:S,@queue':S) breadth#2(::(@z:S,@_@9:S),@queue':S) -> breadth#3(breadth#4(@z:S),@queue':S) breadth#2(nil,@queue':S) -> nil breadth#3(tuple#2(@x:S,@ys:S),@queue':S) -> ::(@x:S,breadth#5(enqueues(@ys:S,@queue':S))) breadth#4(tuple#4(@children@3:S,@children@4:S,@children@5:S,@children@6:S)) -> children(@children@3:S,@children@4:S,@children@5:S,@children@6:S) breadth#5(tuple#2(@breadth@7:S,@breadth@8:S)) -> breadth(@breadth@7:S,@breadth@8:S) children(@a:S,@b:S,@l1:S,@l2:S) -> tuple#2(tuple#2(@a:S,@b:S),children#1(@l1:S,@b:S,@l2:S)) children#1(::(@x:S,@xs:S),@b:S,@l2:S) -> children#3(@l2:S,@b:S,@x:S,@xs:S) children#1(nil,@b:S,@l2:S) -> children#2(@l2:S,@b:S) children#2(::(@y:S,@ys:S),@b:S) -> ::(tuple#4(@y:S,@b:S,nil,@ys:S),nil) children#2(nil,@b:S) -> nil children#3(::(@y:S,@ys:S),@b:S,@x:S,@xs:S) -> ::(tuple#4(@x:S,@b:S,nil,@xs:S),::(tuple#4(@x:S,@y:S,@xs:S,@ys:S),nil)) children#3(nil,@b:S,@x:S,@xs:S) -> nil copyover(@copyover@1:S,@copyover@2:S) -> copyover#1(tuple#2(@copyover@1:S,@copyover@2:S)) copyover#1(tuple#2(@inq:S,@outq:S)) -> copyover#2(@inq:S,@outq:S) copyover#2(::(@x:S,@xs:S),@outq:S) -> copyover(@xs:S,::(@x:S,@outq:S)) copyover#2(nil,@outq:S) -> tuple#2(nil,@outq:S) dequeue(@dequeue@1:S,@dequeue@2:S) -> dequeue#1(tuple#2(@dequeue@1:S,@dequeue@2:S)) dequeue#1(tuple#2(@inq:S,@outq:S)) -> dequeue#2(@outq:S,@inq:S) dequeue#2(::(@y:S,@ys:S),@inq:S) -> tuple#2(tuple#2(@inq:S,@ys:S),::(@y:S,nil))
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