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TRS Stand 20472 pair #381712426
details
property
value
status
complete
benchmark
Ex2_Luc02a_Z.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n093.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0204448699951 seconds
cpu usage
0.017053732
max memory
1871872.0
stage attributes
key
value
output-size
8569
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 N X X1 X2 Y Z) (RULES activate(n__first(X1,X2)) -> first(X1,X2) activate(n__terms(X)) -> terms(X) activate(X) -> X add(0,X) -> X add(s(X),Y) -> s(add(X,Y)) dbl(0) -> 0 dbl(s(X)) -> s(s(dbl(X))) first(0,X) -> nil first(s(X),cons(Y,Z)) -> cons(Y,n__first(X,activate(Z))) first(X1,X2) -> n__first(X1,X2) sqr(0) -> 0 sqr(s(X)) -> s(add(sqr(X),dbl(X))) terms(N) -> cons(recip(sqr(N)),n__terms(s(N))) terms(X) -> n__terms(X) ) Problem 1: Dependency Pairs Processor: -> Pairs: ACTIVATE(n__first(X1,X2)) -> FIRST(X1,X2) ACTIVATE(n__terms(X)) -> TERMS(X) ADD(s(X),Y) -> ADD(X,Y) DBL(s(X)) -> DBL(X) FIRST(s(X),cons(Y,Z)) -> ACTIVATE(Z) SQR(s(X)) -> ADD(sqr(X),dbl(X)) SQR(s(X)) -> DBL(X) SQR(s(X)) -> SQR(X) TERMS(N) -> SQR(N) -> Rules: activate(n__first(X1,X2)) -> first(X1,X2) activate(n__terms(X)) -> terms(X) activate(X) -> X add(0,X) -> X add(s(X),Y) -> s(add(X,Y)) dbl(0) -> 0 dbl(s(X)) -> s(s(dbl(X))) first(0,X) -> nil first(s(X),cons(Y,Z)) -> cons(Y,n__first(X,activate(Z))) first(X1,X2) -> n__first(X1,X2) sqr(0) -> 0 sqr(s(X)) -> s(add(sqr(X),dbl(X))) terms(N) -> cons(recip(sqr(N)),n__terms(s(N))) terms(X) -> n__terms(X) Problem 1: SCC Processor: -> Pairs: ACTIVATE(n__first(X1,X2)) -> FIRST(X1,X2) ACTIVATE(n__terms(X)) -> TERMS(X) ADD(s(X),Y) -> ADD(X,Y) DBL(s(X)) -> DBL(X) FIRST(s(X),cons(Y,Z)) -> ACTIVATE(Z) SQR(s(X)) -> ADD(sqr(X),dbl(X)) SQR(s(X)) -> DBL(X) SQR(s(X)) -> SQR(X) TERMS(N) -> SQR(N) -> Rules: activate(n__first(X1,X2)) -> first(X1,X2) activate(n__terms(X)) -> terms(X) activate(X) -> X add(0,X) -> X add(s(X),Y) -> s(add(X,Y)) dbl(0) -> 0 dbl(s(X)) -> s(s(dbl(X))) first(0,X) -> nil first(s(X),cons(Y,Z)) -> cons(Y,n__first(X,activate(Z))) first(X1,X2) -> n__first(X1,X2) sqr(0) -> 0 sqr(s(X)) -> s(add(sqr(X),dbl(X))) terms(N) -> cons(recip(sqr(N)),n__terms(s(N))) terms(X) -> n__terms(X) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: DBL(s(X)) -> DBL(X) ->->-> Rules: activate(n__first(X1,X2)) -> first(X1,X2) activate(n__terms(X)) -> terms(X) activate(X) -> X add(0,X) -> X add(s(X),Y) -> s(add(X,Y)) dbl(0) -> 0 dbl(s(X)) -> s(s(dbl(X))) first(0,X) -> nil first(s(X),cons(Y,Z)) -> cons(Y,n__first(X,activate(Z))) first(X1,X2) -> n__first(X1,X2)
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