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TRS Standard pair #487068219
details
property
value
status
complete
benchmark
2.42.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n179.star.cs.uiowa.edu
space
SK90
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0222089 seconds
cpu usage
0.022762
user time
0.011719
system time
0.011043
max virtual memory
113188.0
max residence set size
5552.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S x:S y:S z:S) (RULES ++(++(x:S,y:S),z:S) -> ++(x:S,++(y:S,z:S)) ++(nil,y:S) -> y:S ++(x:S,nil) -> x:S flatten(++(unit(x:S),y:S)) -> ++(flatten(x:S),flatten(y:S)) flatten(++(x:S,y:S)) -> ++(flatten(x:S),flatten(y:S)) flatten(flatten(x:S)) -> flatten(x:S) flatten(nil) -> nil flatten(unit(x:S)) -> flatten(x:S) rev(++(x:S,y:S)) -> ++(rev(y:S),rev(x:S)) rev(rev(x:S)) -> x:S rev(nil) -> nil rev(unit(x:S)) -> unit(x:S) ) Problem 1: Dependency Pairs Processor: -> Pairs: ++#(++(x:S,y:S),z:S) -> ++#(x:S,++(y:S,z:S)) ++#(++(x:S,y:S),z:S) -> ++#(y:S,z:S) FLATTEN(++(unit(x:S),y:S)) -> ++#(flatten(x:S),flatten(y:S)) FLATTEN(++(unit(x:S),y:S)) -> FLATTEN(x:S) FLATTEN(++(unit(x:S),y:S)) -> FLATTEN(y:S) FLATTEN(++(x:S,y:S)) -> ++#(flatten(x:S),flatten(y:S)) FLATTEN(++(x:S,y:S)) -> FLATTEN(x:S) FLATTEN(++(x:S,y:S)) -> FLATTEN(y:S) FLATTEN(unit(x:S)) -> FLATTEN(x:S) REV(++(x:S,y:S)) -> ++#(rev(y:S),rev(x:S)) REV(++(x:S,y:S)) -> REV(x:S) REV(++(x:S,y:S)) -> REV(y:S) -> Rules: ++(++(x:S,y:S),z:S) -> ++(x:S,++(y:S,z:S)) ++(nil,y:S) -> y:S ++(x:S,nil) -> x:S flatten(++(unit(x:S),y:S)) -> ++(flatten(x:S),flatten(y:S)) flatten(++(x:S,y:S)) -> ++(flatten(x:S),flatten(y:S)) flatten(flatten(x:S)) -> flatten(x:S) flatten(nil) -> nil flatten(unit(x:S)) -> flatten(x:S) rev(++(x:S,y:S)) -> ++(rev(y:S),rev(x:S)) rev(rev(x:S)) -> x:S rev(nil) -> nil rev(unit(x:S)) -> unit(x:S) Problem 1: SCC Processor: -> Pairs: ++#(++(x:S,y:S),z:S) -> ++#(x:S,++(y:S,z:S)) ++#(++(x:S,y:S),z:S) -> ++#(y:S,z:S) FLATTEN(++(unit(x:S),y:S)) -> ++#(flatten(x:S),flatten(y:S)) FLATTEN(++(unit(x:S),y:S)) -> FLATTEN(x:S) FLATTEN(++(unit(x:S),y:S)) -> FLATTEN(y:S) FLATTEN(++(x:S,y:S)) -> ++#(flatten(x:S),flatten(y:S)) FLATTEN(++(x:S,y:S)) -> FLATTEN(x:S) FLATTEN(++(x:S,y:S)) -> FLATTEN(y:S) FLATTEN(unit(x:S)) -> FLATTEN(x:S) REV(++(x:S,y:S)) -> ++#(rev(y:S),rev(x:S)) REV(++(x:S,y:S)) -> REV(x:S) REV(++(x:S,y:S)) -> REV(y:S) -> Rules: ++(++(x:S,y:S),z:S) -> ++(x:S,++(y:S,z:S)) ++(nil,y:S) -> y:S ++(x:S,nil) -> x:S flatten(++(unit(x:S),y:S)) -> ++(flatten(x:S),flatten(y:S)) flatten(++(x:S,y:S)) -> ++(flatten(x:S),flatten(y:S)) flatten(flatten(x:S)) -> flatten(x:S) flatten(nil) -> nil flatten(unit(x:S)) -> flatten(x:S) rev(++(x:S,y:S)) -> ++(rev(y:S),rev(x:S)) rev(rev(x:S)) -> x:S rev(nil) -> nil rev(unit(x:S)) -> unit(x:S) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: ++#(++(x:S,y:S),z:S) -> ++#(x:S,++(y:S,z:S)) ++#(++(x:S,y:S),z:S) -> ++#(y:S,z:S) ->->-> Rules: ++(++(x:S,y:S),z:S) -> ++(x:S,++(y:S,z:S)) ++(nil,y:S) -> y:S ++(x:S,nil) -> x:S flatten(++(unit(x:S),y:S)) -> ++(flatten(x:S),flatten(y:S)) flatten(++(x:S,y:S)) -> ++(flatten(x:S),flatten(y:S)) flatten(flatten(x:S)) -> flatten(x:S) flatten(nil) -> nil flatten(unit(x:S)) -> flatten(x:S) rev(++(x:S,y:S)) -> ++(rev(y:S),rev(x:S)) rev(rev(x:S)) -> x:S rev(nil) -> nil rev(unit(x:S)) -> unit(x:S) ->->Cycle: ->->-> Pairs: FLATTEN(++(unit(x:S),y:S)) -> FLATTEN(x:S)
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