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TRS Standard pair #516966481
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
n086.star.cs.uiowa.edu
space
SK90
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0675349235535 seconds
cpu usage
0.022673376
max memory
1990656.0
stage attributes
key
value
output-size
7900
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- 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))
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