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TRS Stand 20472 pair #381713110
details
property
value
status
complete
benchmark
11.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n105.star.cs.uiowa.edu
space
Applicative_first_order_05
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0966689586639 seconds
cpu usage
0.093333356
max memory
3477504.0
stage attributes
key
value
output-size
18428
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 f x xs y) (RULES app(app(app(app(filter2,false),f),x),xs) -> app(app(filter,f),xs) app(app(app(app(filter2,true),f),x),xs) -> app(app(cons,x),app(app(filter,f),xs)) app(app(filter,f),app(app(cons,x),xs)) -> app(app(app(app(filter2,app(f,x)),f),x),xs) app(app(filter,f),nil) -> nil app(app(map,f),app(app(cons,x),xs)) -> app(app(cons,app(f,x)),app(app(map,f),xs)) app(app(map,f),nil) -> nil app(D,app(app(*,x),y)) -> app(app(+,app(app(*,y),app(D,x))),app(app(*,x),app(D,y))) app(D,app(app(+,x),y)) -> app(app(+,app(D,x)),app(D,y)) app(D,app(app(-,x),y)) -> app(app(-,app(D,x)),app(D,y)) app(D,app(app(div,x),y)) -> app(app(-,app(app(div,app(D,x)),y)),app(app(div,app(app(*,x),app(D,y))),app(app(pow,y),2))) app(D,app(app(pow,x),y)) -> app(app(+,app(app(*,app(app(*,y),app(app(pow,x),app(app(-,y),1)))),app(D,x))),app(app(*,app(app(*,app(app(pow,x),y)),app(ln,x))),app(D,y))) app(D,app(ln,x)) -> app(app(div,app(D,x)),x) app(D,app(minus,x)) -> app(minus,app(D,x)) app(D,constant) -> 0 app(D,t) -> 1 ) Problem 1: Innermost Equivalent Processor: -> Rules: app(app(app(app(filter2,false),f),x),xs) -> app(app(filter,f),xs) app(app(app(app(filter2,true),f),x),xs) -> app(app(cons,x),app(app(filter,f),xs)) app(app(filter,f),app(app(cons,x),xs)) -> app(app(app(app(filter2,app(f,x)),f),x),xs) app(app(filter,f),nil) -> nil app(app(map,f),app(app(cons,x),xs)) -> app(app(cons,app(f,x)),app(app(map,f),xs)) app(app(map,f),nil) -> nil app(D,app(app(*,x),y)) -> app(app(+,app(app(*,y),app(D,x))),app(app(*,x),app(D,y))) app(D,app(app(+,x),y)) -> app(app(+,app(D,x)),app(D,y)) app(D,app(app(-,x),y)) -> app(app(-,app(D,x)),app(D,y)) app(D,app(app(div,x),y)) -> app(app(-,app(app(div,app(D,x)),y)),app(app(div,app(app(*,x),app(D,y))),app(app(pow,y),2))) app(D,app(app(pow,x),y)) -> app(app(+,app(app(*,app(app(*,y),app(app(pow,x),app(app(-,y),1)))),app(D,x))),app(app(*,app(app(*,app(app(pow,x),y)),app(ln,x))),app(D,y))) app(D,app(ln,x)) -> app(app(div,app(D,x)),x) app(D,app(minus,x)) -> app(minus,app(D,x)) app(D,constant) -> 0 app(D,t) -> 1 -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: APP(app(app(app(filter2,false),f),x),xs) -> APP(app(filter,f),xs) APP(app(app(app(filter2,true),f),x),xs) -> APP(app(cons,x),app(app(filter,f),xs)) APP(app(app(app(filter2,true),f),x),xs) -> APP(app(filter,f),xs) APP(app(filter,f),app(app(cons,x),xs)) -> APP(app(app(app(filter2,app(f,x)),f),x),xs) APP(app(filter,f),app(app(cons,x),xs)) -> APP(app(app(filter2,app(f,x)),f),x) APP(app(filter,f),app(app(cons,x),xs)) -> APP(app(filter2,app(f,x)),f) APP(app(filter,f),app(app(cons,x),xs)) -> APP(filter2,app(f,x)) APP(app(filter,f),app(app(cons,x),xs)) -> APP(f,x) APP(app(map,f),app(app(cons,x),xs)) -> APP(app(cons,app(f,x)),app(app(map,f),xs)) APP(app(map,f),app(app(cons,x),xs)) -> APP(app(map,f),xs) APP(app(map,f),app(app(cons,x),xs)) -> APP(cons,app(f,x)) APP(app(map,f),app(app(cons,x),xs)) -> APP(f,x) APP(D,app(app(*,x),y)) -> APP(app(*,x),app(D,y)) APP(D,app(app(*,x),y)) -> APP(app(*,y),app(D,x)) APP(D,app(app(*,x),y)) -> APP(app(+,app(app(*,y),app(D,x))),app(app(*,x),app(D,y))) APP(D,app(app(*,x),y)) -> APP(+,app(app(*,y),app(D,x))) APP(D,app(app(*,x),y)) -> APP(D,x) APP(D,app(app(*,x),y)) -> APP(D,y) APP(D,app(app(+,x),y)) -> APP(app(+,app(D,x)),app(D,y)) APP(D,app(app(+,x),y)) -> APP(+,app(D,x)) APP(D,app(app(+,x),y)) -> APP(D,x) APP(D,app(app(+,x),y)) -> APP(D,y) APP(D,app(app(-,x),y)) -> APP(app(-,app(D,x)),app(D,y)) APP(D,app(app(-,x),y)) -> APP(-,app(D,x)) APP(D,app(app(-,x),y)) -> APP(D,x) APP(D,app(app(-,x),y)) -> APP(D,y) APP(D,app(app(div,x),y)) -> APP(app(*,x),app(D,y)) APP(D,app(app(div,x),y)) -> APP(app(-,app(app(div,app(D,x)),y)),app(app(div,app(app(*,x),app(D,y))),app(app(pow,y),2))) APP(D,app(app(div,x),y)) -> APP(app(div,app(app(*,x),app(D,y))),app(app(pow,y),2)) APP(D,app(app(div,x),y)) -> APP(app(div,app(D,x)),y) APP(D,app(app(div,x),y)) -> APP(-,app(app(div,app(D,x)),y)) APP(D,app(app(div,x),y)) -> APP(D,x) APP(D,app(app(div,x),y)) -> APP(D,y) APP(D,app(app(div,x),y)) -> APP(div,app(app(*,x),app(D,y))) APP(D,app(app(div,x),y)) -> APP(div,app(D,x)) APP(D,app(app(pow,x),y)) -> APP(app(*,app(app(*,app(app(pow,x),y)),app(ln,x))),app(D,y)) APP(D,app(app(pow,x),y)) -> APP(app(*,app(app(*,y),app(app(pow,x),app(app(-,y),1)))),app(D,x)) APP(D,app(app(pow,x),y)) -> APP(app(+,app(app(*,app(app(*,y),app(app(pow,x),app(app(-,y),1)))),app(D,x))),app(app(*,app(app(*,app(app(pow,x),y)),app(ln,x))),app(D,y))) APP(D,app(app(pow,x),y)) -> APP(+,app(app(*,app(app(*,y),app(app(pow,x),app(app(-,y),1)))),app(D,x))) APP(D,app(app(pow,x),y)) -> APP(D,x) APP(D,app(app(pow,x),y)) -> APP(D,y) APP(D,app(ln,x)) -> APP(app(div,app(D,x)),x) APP(D,app(ln,x)) -> APP(D,x) APP(D,app(ln,x)) -> APP(div,app(D,x)) APP(D,app(minus,x)) -> APP(D,x)
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