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TRS Equational pair #487092751
details
property
value
status
complete
benchmark
AC28.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n147.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.031077 seconds
cpu usage
0.017643
user time
0.009725
system time
0.007918
max virtual memory
113188.0
max residence set size
5836.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: AC symbols: union 1: union(empty(),X) -> X 2: max(singl(x)) -> x 3: max(union(singl(x),singl(0()))) -> x 4: max(union(singl(s(x)),singl(s(y)))) -> s(max(union(singl(x),singl(y)))) 5: max(union(singl(x),union(Y,Z))) -> max(union(singl(x),singl(max(union(Y,Z))))) Number of strict rules: 5 Direct POLO(bPol) ... removes: 4 1 3 s w: x1 + 1 0 w: 23676 max w: x1 union w: x1 + x2 + 1 singl w: x1 empty w: 0 Number of strict rules: 2 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #max(union(singl(x),union(Y,Z))) -> #max(union(singl(x),singl(max(union(Y,Z))))) #2: #max(union(singl(x),union(Y,Z))) -> #max(union(Y,Z)) Number of SCCs: 1, DPs: 2 SCC { #1 #2 } POLO(Sum)... succeeded. s w: 0 0 w: 0 max w: x1 union w: x1 + x2 + 7759 #max w: x1 singl w: 7758 empty w: 0 USABLE RULES: { 6 } Removed DPs: #1 #2 Number of SCCs: 0, DPs: 0 Next Dependency Pairs: Number of SCCs: 0, DPs: 0
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