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TRS Standard pair #487068677
details
property
value
status
complete
benchmark
z27.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n189.star.cs.uiowa.edu
space
Zantema_05
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
10.3982 seconds
cpu usage
39.9312
user time
38.5945
system time
1.33671
max virtual memory
4758676.0
max residence set size
89612.0
stage attributes
key
value
starexec-result
MAYBE
output
MAYBE Problem: f(0(),1(),x) -> f(g(x),g(x),x) f(g(x),y,z) -> g(f(x,y,z)) f(x,g(y),z) -> g(f(x,y,z)) f(x,y,g(z)) -> g(f(x,y,z)) Proof: DP Processor: DPs: f#(0(),1(),x) -> f#(g(x),g(x),x) f#(g(x),y,z) -> f#(x,y,z) f#(x,g(y),z) -> f#(x,y,z) f#(x,y,g(z)) -> f#(x,y,z) TRS: f(0(),1(),x) -> f(g(x),g(x),x) f(g(x),y,z) -> g(f(x,y,z)) f(x,g(y),z) -> g(f(x,y,z)) f(x,y,g(z)) -> g(f(x,y,z)) EDG Processor: DPs: f#(0(),1(),x) -> f#(g(x),g(x),x) f#(g(x),y,z) -> f#(x,y,z) f#(x,g(y),z) -> f#(x,y,z) f#(x,y,g(z)) -> f#(x,y,z) TRS: f(0(),1(),x) -> f(g(x),g(x),x) f(g(x),y,z) -> g(f(x,y,z)) f(x,g(y),z) -> g(f(x,y,z)) f(x,y,g(z)) -> g(f(x,y,z)) graph: f#(g(x),y,z) -> f#(x,y,z) -> f#(0(),1(),x) -> f#(g(x),g(x),x) f#(g(x),y,z) -> f#(x,y,z) -> f#(g(x),y,z) -> f#(x,y,z) f#(g(x),y,z) -> f#(x,y,z) -> f#(x,g(y),z) -> f#(x,y,z) f#(g(x),y,z) -> f#(x,y,z) -> f#(x,y,g(z)) -> f#(x,y,z) f#(0(),1(),x) -> f#(g(x),g(x),x) -> f#(g(x),y,z) -> f#(x,y,z) f#(0(),1(),x) -> f#(g(x),g(x),x) -> f#(x,g(y),z) -> f#(x,y,z) f#(0(),1(),x) -> f#(g(x),g(x),x) -> f#(x,y,g(z)) -> f#(x,y,z) f#(x,g(y),z) -> f#(x,y,z) -> f#(0(),1(),x) -> f#(g(x),g(x),x) f#(x,g(y),z) -> f#(x,y,z) -> f#(g(x),y,z) -> f#(x,y,z) f#(x,g(y),z) -> f#(x,y,z) -> f#(x,g(y),z) -> f#(x,y,z) f#(x,g(y),z) -> f#(x,y,z) -> f#(x,y,g(z)) -> f#(x,y,z) f#(x,y,g(z)) -> f#(x,y,z) -> f#(0(),1(),x) -> f#(g(x),g(x),x) f#(x,y,g(z)) -> f#(x,y,z) -> f#(g(x),y,z) -> f#(x,y,z) f#(x,y,g(z)) -> f#(x,y,z) -> f#(x,g(y),z) -> f#(x,y,z) f#(x,y,g(z)) -> f#(x,y,z) -> f#(x,y,g(z)) -> f#(x,y,z) Subterm Criterion Processor: simple projection: pi(f#) = 2 problem: DPs: f#(0(),1(),x) -> f#(g(x),g(x),x) f#(g(x),y,z) -> f#(x,y,z) f#(x,g(y),z) -> f#(x,y,z) TRS: f(0(),1(),x) -> f(g(x),g(x),x) f(g(x),y,z) -> g(f(x,y,z)) f(x,g(y),z) -> g(f(x,y,z)) f(x,y,g(z)) -> g(f(x,y,z)) Open
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