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TRS Standard pair #487067102
details
property
value
status
complete
benchmark
linear1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n071.star.cs.uiowa.edu
space
Endrullis_06
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
2.09922 seconds
cpu usage
7.04942
user time
5.66075
system time
1.38867
max virtual memory
5939548.0
max residence set size
82384.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(a(f(b(),a(x)))) -> f(a(a(a(x))),b()) a(a(x)) -> f(b(),a(f(a(x),b()))) f(a(x),b()) -> f(b(),a(x)) Proof: DP Processor: DPs: a#(a(f(b(),a(x)))) -> a#(a(x)) a#(a(f(b(),a(x)))) -> a#(a(a(x))) a#(a(f(b(),a(x)))) -> f#(a(a(a(x))),b()) a#(a(x)) -> f#(a(x),b()) a#(a(x)) -> a#(f(a(x),b())) a#(a(x)) -> f#(b(),a(f(a(x),b()))) f#(a(x),b()) -> f#(b(),a(x)) TRS: a(a(f(b(),a(x)))) -> f(a(a(a(x))),b()) a(a(x)) -> f(b(),a(f(a(x),b()))) f(a(x),b()) -> f(b(),a(x)) TDG Processor: DPs: a#(a(f(b(),a(x)))) -> a#(a(x)) a#(a(f(b(),a(x)))) -> a#(a(a(x))) a#(a(f(b(),a(x)))) -> f#(a(a(a(x))),b()) a#(a(x)) -> f#(a(x),b()) a#(a(x)) -> a#(f(a(x),b())) a#(a(x)) -> f#(b(),a(f(a(x),b()))) f#(a(x),b()) -> f#(b(),a(x)) TRS: a(a(f(b(),a(x)))) -> f(a(a(a(x))),b()) a(a(x)) -> f(b(),a(f(a(x),b()))) f(a(x),b()) -> f(b(),a(x)) graph: f#(a(x),b()) -> f#(b(),a(x)) -> f#(a(x),b()) -> f#(b(),a(x)) a#(a(f(b(),a(x)))) -> f#(a(a(a(x))),b()) -> f#(a(x),b()) -> f#(b(),a(x)) a#(a(f(b(),a(x)))) -> a#(a(a(x))) -> a#(a(x)) -> f#(b(),a(f(a(x),b()))) a#(a(f(b(),a(x)))) -> a#(a(a(x))) -> a#(a(x)) -> a#(f(a(x),b())) a#(a(f(b(),a(x)))) -> a#(a(a(x))) -> a#(a(x)) -> f#(a(x),b()) a#(a(f(b(),a(x)))) -> a#(a(a(x))) -> a#(a(f(b(),a(x)))) -> f#(a(a(a(x))),b()) a#(a(f(b(),a(x)))) -> a#(a(a(x))) -> a#(a(f(b(),a(x)))) -> a#(a(a(x))) a#(a(f(b(),a(x)))) -> a#(a(a(x))) -> a#(a(f(b(),a(x)))) -> a#(a(x)) a#(a(f(b(),a(x)))) -> a#(a(x)) -> a#(a(x)) -> f#(b(),a(f(a(x),b()))) a#(a(f(b(),a(x)))) -> a#(a(x)) -> a#(a(x)) -> a#(f(a(x),b())) a#(a(f(b(),a(x)))) -> a#(a(x)) -> a#(a(x)) -> f#(a(x),b()) a#(a(f(b(),a(x)))) -> a#(a(x)) -> a#(a(f(b(),a(x)))) -> f#(a(a(a(x))),b()) a#(a(f(b(),a(x)))) -> a#(a(x)) -> a#(a(f(b(),a(x)))) -> a#(a(a(x))) a#(a(f(b(),a(x)))) -> a#(a(x)) -> a#(a(f(b(),a(x)))) -> a#(a(x)) a#(a(x)) -> f#(a(x),b()) -> f#(a(x),b()) -> f#(b(),a(x)) a#(a(x)) -> f#(b(),a(f(a(x),b()))) -> f#(a(x),b()) -> f#(b(),a(x)) a#(a(x)) -> a#(f(a(x),b())) -> a#(a(x)) -> f#(b(),a(f(a(x),b()))) a#(a(x)) -> a#(f(a(x),b())) -> a#(a(x)) -> a#(f(a(x),b())) a#(a(x)) -> a#(f(a(x),b())) -> a#(a(x)) -> f#(a(x),b()) a#(a(x)) -> a#(f(a(x),b())) -> a#(a(f(b(),a(x)))) -> f#(a(a(a(x))),b()) a#(a(x)) -> a#(f(a(x),b())) -> a#(a(f(b(),a(x)))) -> a#(a(a(x))) a#(a(x)) -> a#(f(a(x),b())) -> a#(a(f(b(),a(x)))) -> a#(a(x)) SCC Processor: #sccs: 2 #rules: 4 #arcs: 22/49 DPs: a#(a(f(b(),a(x)))) -> a#(a(a(x))) a#(a(f(b(),a(x)))) -> a#(a(x)) a#(a(x)) -> a#(f(a(x),b())) TRS: a(a(f(b(),a(x)))) -> f(a(a(a(x))),b()) a(a(x)) -> f(b(),a(f(a(x),b()))) f(a(x),b()) -> f(b(),a(x)) EDG Processor: DPs: a#(a(f(b(),a(x)))) -> a#(a(a(x))) a#(a(f(b(),a(x)))) -> a#(a(x)) a#(a(x)) -> a#(f(a(x),b())) TRS: a(a(f(b(),a(x)))) -> f(a(a(a(x))),b()) a(a(x)) -> f(b(),a(f(a(x),b()))) f(a(x),b()) -> f(b(),a(x)) graph: a#(a(f(b(),a(x)))) -> a#(a(a(x))) -> a#(a(f(b(),a(x)))) -> a#(a(x)) a#(a(f(b(),a(x)))) -> a#(a(a(x))) -> a#(a(f(b(),a(x)))) -> a#(a(a(x))) a#(a(f(b(),a(x)))) -> a#(a(a(x))) -> a#(a(x)) -> a#(f(a(x),b())) a#(a(f(b(),a(x)))) -> a#(a(x)) -> a#(a(f(b(),a(x)))) -> a#(a(x)) a#(a(f(b(),a(x)))) -> a#(a(x)) -> a#(a(f(b(),a(x)))) -> a#(a(a(x)))
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