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TRS Standard pair #487068567
details
property
value
status
complete
benchmark
z09.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n174.star.cs.uiowa.edu
space
Zantema_05
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
5.5558 seconds
cpu usage
20.4096
user time
18.8665
system time
1.54313
max virtual memory
5441488.0
max residence set size
175000.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(lambda(x),y) -> lambda(a(x,p(1(),a(y,t())))) a(p(x,y),z) -> p(a(x,z),a(y,z)) a(a(x,y),z) -> a(x,a(y,z)) lambda(x) -> x a(x,y) -> x a(x,y) -> y p(x,y) -> x p(x,y) -> y Proof: DP Processor: DPs: a#(lambda(x),y) -> a#(y,t()) a#(lambda(x),y) -> p#(1(),a(y,t())) a#(lambda(x),y) -> a#(x,p(1(),a(y,t()))) a#(lambda(x),y) -> lambda#(a(x,p(1(),a(y,t())))) a#(p(x,y),z) -> a#(y,z) a#(p(x,y),z) -> a#(x,z) a#(p(x,y),z) -> p#(a(x,z),a(y,z)) a#(a(x,y),z) -> a#(y,z) a#(a(x,y),z) -> a#(x,a(y,z)) TRS: a(lambda(x),y) -> lambda(a(x,p(1(),a(y,t())))) a(p(x,y),z) -> p(a(x,z),a(y,z)) a(a(x,y),z) -> a(x,a(y,z)) lambda(x) -> x a(x,y) -> x a(x,y) -> y p(x,y) -> x p(x,y) -> y TDG Processor: DPs: a#(lambda(x),y) -> a#(y,t()) a#(lambda(x),y) -> p#(1(),a(y,t())) a#(lambda(x),y) -> a#(x,p(1(),a(y,t()))) a#(lambda(x),y) -> lambda#(a(x,p(1(),a(y,t())))) a#(p(x,y),z) -> a#(y,z) a#(p(x,y),z) -> a#(x,z) a#(p(x,y),z) -> p#(a(x,z),a(y,z)) a#(a(x,y),z) -> a#(y,z) a#(a(x,y),z) -> a#(x,a(y,z)) TRS: a(lambda(x),y) -> lambda(a(x,p(1(),a(y,t())))) a(p(x,y),z) -> p(a(x,z),a(y,z)) a(a(x,y),z) -> a(x,a(y,z)) lambda(x) -> x a(x,y) -> x a(x,y) -> y p(x,y) -> x p(x,y) -> y graph: a#(p(x,y),z) -> a#(y,z) -> a#(a(x,y),z) -> a#(x,a(y,z)) a#(p(x,y),z) -> a#(y,z) -> a#(a(x,y),z) -> a#(y,z) a#(p(x,y),z) -> a#(y,z) -> a#(p(x,y),z) -> p#(a(x,z),a(y,z)) a#(p(x,y),z) -> a#(y,z) -> a#(p(x,y),z) -> a#(x,z) a#(p(x,y),z) -> a#(y,z) -> a#(p(x,y),z) -> a#(y,z) a#(p(x,y),z) -> a#(y,z) -> a#(lambda(x),y) -> lambda#(a(x,p(1(),a(y,t())))) a#(p(x,y),z) -> a#(y,z) -> a#(lambda(x),y) -> a#(x,p(1(),a(y,t()))) a#(p(x,y),z) -> a#(y,z) -> a#(lambda(x),y) -> p#(1(),a(y,t())) a#(p(x,y),z) -> a#(y,z) -> a#(lambda(x),y) -> a#(y,t()) a#(p(x,y),z) -> a#(x,z) -> a#(a(x,y),z) -> a#(x,a(y,z)) a#(p(x,y),z) -> a#(x,z) -> a#(a(x,y),z) -> a#(y,z) a#(p(x,y),z) -> a#(x,z) -> a#(p(x,y),z) -> p#(a(x,z),a(y,z)) a#(p(x,y),z) -> a#(x,z) -> a#(p(x,y),z) -> a#(x,z) a#(p(x,y),z) -> a#(x,z) -> a#(p(x,y),z) -> a#(y,z) a#(p(x,y),z) -> a#(x,z) -> a#(lambda(x),y) -> lambda#(a(x,p(1(),a(y,t())))) a#(p(x,y),z) -> a#(x,z) -> a#(lambda(x),y) -> a#(x,p(1(),a(y,t()))) a#(p(x,y),z) -> a#(x,z) -> a#(lambda(x),y) -> p#(1(),a(y,t())) a#(p(x,y),z) -> a#(x,z) -> a#(lambda(x),y) -> a#(y,t()) a#(a(x,y),z) -> a#(y,z) -> a#(a(x,y),z) -> a#(x,a(y,z)) a#(a(x,y),z) -> a#(y,z) -> a#(a(x,y),z) -> a#(y,z) a#(a(x,y),z) -> a#(y,z) -> a#(p(x,y),z) -> p#(a(x,z),a(y,z)) a#(a(x,y),z) -> a#(y,z) -> a#(p(x,y),z) -> a#(x,z) a#(a(x,y),z) -> a#(y,z) -> a#(p(x,y),z) -> a#(y,z) a#(a(x,y),z) -> a#(y,z) -> a#(lambda(x),y) -> lambda#(a(x,p(1(),a(y,t())))) a#(a(x,y),z) -> a#(y,z) -> a#(lambda(x),y) -> a#(x,p(1(),a(y,t()))) a#(a(x,y),z) -> a#(y,z) -> a#(lambda(x),y) -> p#(1(),a(y,t())) a#(a(x,y),z) -> a#(y,z) -> a#(lambda(x),y) -> a#(y,t()) a#(a(x,y),z) -> a#(x,a(y,z)) -> a#(a(x,y),z) -> a#(x,a(y,z)) a#(a(x,y),z) -> a#(x,a(y,z)) -> a#(a(x,y),z) -> a#(y,z) a#(a(x,y),z) -> a#(x,a(y,z)) -> a#(p(x,y),z) -> p#(a(x,z),a(y,z)) a#(a(x,y),z) -> a#(x,a(y,z)) -> a#(p(x,y),z) -> a#(x,z) a#(a(x,y),z) -> a#(x,a(y,z)) -> a#(p(x,y),z) -> a#(y,z) a#(a(x,y),z) -> a#(x,a(y,z)) -> a#(lambda(x),y) -> lambda#(a(x,p(1(),a(y,t())))) a#(a(x,y),z) -> a#(x,a(y,z)) -> a#(lambda(x),y) -> a#(x,p(1(),a(y,t()))) a#(a(x,y),z) -> a#(x,a(y,z)) -> a#(lambda(x),y) -> p#(1(),a(y,t())) a#(a(x,y),z) -> a#(x,a(y,z)) -> a#(lambda(x),y) -> a#(y,t()) a#(lambda(x),y) -> a#(y,t()) -> a#(a(x,y),z) -> a#(x,a(y,z)) a#(lambda(x),y) -> a#(y,t()) -> a#(a(x,y),z) -> a#(y,z) a#(lambda(x),y) -> a#(y,t()) -> a#(p(x,y),z) -> p#(a(x,z),a(y,z)) a#(lambda(x),y) -> a#(y,t()) -> a#(p(x,y),z) -> a#(x,z) a#(lambda(x),y) -> a#(y,t()) -> a#(p(x,y),z) -> a#(y,z)
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