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TRS Standard pair #516964771
details
property
value
status
complete
benchmark
revlist.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n005.star.cs.uiowa.edu
space
Rubio_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.129426956177 seconds
cpu usage
0.049589925
max memory
4399104.0
stage attributes
key
value
output-size
6404
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR v_NonEmpty:S L:S X:S Y:S) (RULES rev(cons(X:S,L:S)) -> cons(rev1(X:S,L:S),rev2(X:S,L:S)) rev(nil) -> nil rev1(0,nil) -> 0 rev1(s(X:S),nil) -> s(X:S) rev1(X:S,cons(Y:S,L:S)) -> rev1(Y:S,L:S) rev2(X:S,cons(Y:S,L:S)) -> rev(cons(X:S,rev(rev2(Y:S,L:S)))) rev2(X:S,nil) -> nil ) Problem 1: Innermost Equivalent Processor: -> Rules: rev(cons(X:S,L:S)) -> cons(rev1(X:S,L:S),rev2(X:S,L:S)) rev(nil) -> nil rev1(0,nil) -> 0 rev1(s(X:S),nil) -> s(X:S) rev1(X:S,cons(Y:S,L:S)) -> rev1(Y:S,L:S) rev2(X:S,cons(Y:S,L:S)) -> rev(cons(X:S,rev(rev2(Y:S,L:S)))) rev2(X:S,nil) -> nil -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: REV(cons(X:S,L:S)) -> REV1(X:S,L:S) REV(cons(X:S,L:S)) -> REV2(X:S,L:S) REV1(X:S,cons(Y:S,L:S)) -> REV1(Y:S,L:S) REV2(X:S,cons(Y:S,L:S)) -> REV(rev2(Y:S,L:S)) REV2(X:S,cons(Y:S,L:S)) -> REV(cons(X:S,rev(rev2(Y:S,L:S)))) REV2(X:S,cons(Y:S,L:S)) -> REV2(Y:S,L:S) -> Rules: rev(cons(X:S,L:S)) -> cons(rev1(X:S,L:S),rev2(X:S,L:S)) rev(nil) -> nil rev1(0,nil) -> 0 rev1(s(X:S),nil) -> s(X:S) rev1(X:S,cons(Y:S,L:S)) -> rev1(Y:S,L:S) rev2(X:S,cons(Y:S,L:S)) -> rev(cons(X:S,rev(rev2(Y:S,L:S)))) rev2(X:S,nil) -> nil Problem 1: SCC Processor: -> Pairs: REV(cons(X:S,L:S)) -> REV1(X:S,L:S) REV(cons(X:S,L:S)) -> REV2(X:S,L:S) REV1(X:S,cons(Y:S,L:S)) -> REV1(Y:S,L:S) REV2(X:S,cons(Y:S,L:S)) -> REV(rev2(Y:S,L:S)) REV2(X:S,cons(Y:S,L:S)) -> REV(cons(X:S,rev(rev2(Y:S,L:S)))) REV2(X:S,cons(Y:S,L:S)) -> REV2(Y:S,L:S) -> Rules: rev(cons(X:S,L:S)) -> cons(rev1(X:S,L:S),rev2(X:S,L:S)) rev(nil) -> nil rev1(0,nil) -> 0 rev1(s(X:S),nil) -> s(X:S) rev1(X:S,cons(Y:S,L:S)) -> rev1(Y:S,L:S) rev2(X:S,cons(Y:S,L:S)) -> rev(cons(X:S,rev(rev2(Y:S,L:S)))) rev2(X:S,nil) -> nil ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: REV1(X:S,cons(Y:S,L:S)) -> REV1(Y:S,L:S) ->->-> Rules: rev(cons(X:S,L:S)) -> cons(rev1(X:S,L:S),rev2(X:S,L:S)) rev(nil) -> nil rev1(0,nil) -> 0 rev1(s(X:S),nil) -> s(X:S) rev1(X:S,cons(Y:S,L:S)) -> rev1(Y:S,L:S) rev2(X:S,cons(Y:S,L:S)) -> rev(cons(X:S,rev(rev2(Y:S,L:S)))) rev2(X:S,nil) -> nil ->->Cycle: ->->-> Pairs: REV(cons(X:S,L:S)) -> REV2(X:S,L:S) REV2(X:S,cons(Y:S,L:S)) -> REV(rev2(Y:S,L:S)) REV2(X:S,cons(Y:S,L:S)) -> REV(cons(X:S,rev(rev2(Y:S,L:S)))) REV2(X:S,cons(Y:S,L:S)) -> REV2(Y:S,L:S) ->->-> Rules: rev(cons(X:S,L:S)) -> cons(rev1(X:S,L:S),rev2(X:S,L:S)) rev(nil) -> nil rev1(0,nil) -> 0 rev1(s(X:S),nil) -> s(X:S) rev1(X:S,cons(Y:S,L:S)) -> rev1(Y:S,L:S) rev2(X:S,cons(Y:S,L:S)) -> rev(cons(X:S,rev(rev2(Y:S,L:S)))) rev2(X:S,nil) -> nil
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