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TRS Standard pair #516961711
details
property
value
status
complete
benchmark
Ex1_Luc02b_Z.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n083.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0670549869537 seconds
cpu usage
0.021201657
max memory
1855488.0
stage attributes
key
value
output-size
5344
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 X:S X1:S X2:S Y:S Z:S) (RULES activate(n__first(X1:S,X2:S)) -> first(X1:S,X2:S) activate(n__from(X:S)) -> from(X:S) activate(X:S) -> X:S first(0,Z:S) -> nil first(s(X:S),cons(Y:S,Z:S)) -> cons(Y:S,n__first(X:S,activate(Z:S))) first(X1:S,X2:S) -> n__first(X1:S,X2:S) from(X:S) -> cons(X:S,n__from(s(X:S))) from(X:S) -> n__from(X:S) sel(0,cons(X:S,Z:S)) -> X:S sel(s(X:S),cons(Y:S,Z:S)) -> sel(X:S,activate(Z:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: ACTIVATE(n__first(X1:S,X2:S)) -> FIRST(X1:S,X2:S) ACTIVATE(n__from(X:S)) -> FROM(X:S) FIRST(s(X:S),cons(Y:S,Z:S)) -> ACTIVATE(Z:S) SEL(s(X:S),cons(Y:S,Z:S)) -> ACTIVATE(Z:S) SEL(s(X:S),cons(Y:S,Z:S)) -> SEL(X:S,activate(Z:S)) -> Rules: activate(n__first(X1:S,X2:S)) -> first(X1:S,X2:S) activate(n__from(X:S)) -> from(X:S) activate(X:S) -> X:S first(0,Z:S) -> nil first(s(X:S),cons(Y:S,Z:S)) -> cons(Y:S,n__first(X:S,activate(Z:S))) first(X1:S,X2:S) -> n__first(X1:S,X2:S) from(X:S) -> cons(X:S,n__from(s(X:S))) from(X:S) -> n__from(X:S) sel(0,cons(X:S,Z:S)) -> X:S sel(s(X:S),cons(Y:S,Z:S)) -> sel(X:S,activate(Z:S)) Problem 1: SCC Processor: -> Pairs: ACTIVATE(n__first(X1:S,X2:S)) -> FIRST(X1:S,X2:S) ACTIVATE(n__from(X:S)) -> FROM(X:S) FIRST(s(X:S),cons(Y:S,Z:S)) -> ACTIVATE(Z:S) SEL(s(X:S),cons(Y:S,Z:S)) -> ACTIVATE(Z:S) SEL(s(X:S),cons(Y:S,Z:S)) -> SEL(X:S,activate(Z:S)) -> Rules: activate(n__first(X1:S,X2:S)) -> first(X1:S,X2:S) activate(n__from(X:S)) -> from(X:S) activate(X:S) -> X:S first(0,Z:S) -> nil first(s(X:S),cons(Y:S,Z:S)) -> cons(Y:S,n__first(X:S,activate(Z:S))) first(X1:S,X2:S) -> n__first(X1:S,X2:S) from(X:S) -> cons(X:S,n__from(s(X:S))) from(X:S) -> n__from(X:S) sel(0,cons(X:S,Z:S)) -> X:S sel(s(X:S),cons(Y:S,Z:S)) -> sel(X:S,activate(Z:S)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: ACTIVATE(n__first(X1:S,X2:S)) -> FIRST(X1:S,X2:S) FIRST(s(X:S),cons(Y:S,Z:S)) -> ACTIVATE(Z:S) ->->-> Rules: activate(n__first(X1:S,X2:S)) -> first(X1:S,X2:S) activate(n__from(X:S)) -> from(X:S) activate(X:S) -> X:S first(0,Z:S) -> nil first(s(X:S),cons(Y:S,Z:S)) -> cons(Y:S,n__first(X:S,activate(Z:S))) first(X1:S,X2:S) -> n__first(X1:S,X2:S) from(X:S) -> cons(X:S,n__from(s(X:S))) from(X:S) -> n__from(X:S) sel(0,cons(X:S,Z:S)) -> X:S sel(s(X:S),cons(Y:S,Z:S)) -> sel(X:S,activate(Z:S)) ->->Cycle: ->->-> Pairs: SEL(s(X:S),cons(Y:S,Z:S)) -> SEL(X:S,activate(Z:S)) ->->-> Rules: activate(n__first(X1:S,X2:S)) -> first(X1:S,X2:S) activate(n__from(X:S)) -> from(X:S) activate(X:S) -> X:S first(0,Z:S) -> nil first(s(X:S),cons(Y:S,Z:S)) -> cons(Y:S,n__first(X:S,activate(Z:S))) first(X1:S,X2:S) -> n__first(X1:S,X2:S) from(X:S) -> cons(X:S,n__from(s(X:S))) from(X:S) -> n__from(X:S) sel(0,cons(X:S,Z:S)) -> X:S sel(s(X:S),cons(Y:S,Z:S)) -> sel(X:S,activate(Z:S)) The problem is decomposed in 2 subproblems. Problem 1.1:
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