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TRS Equational pair #487092730
details
property
value
status
complete
benchmark
AC52.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n149.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.399333 seconds
cpu usage
0.28227
user time
0.227188
system time
0.055082
max virtual memory
113188.0
max residence set size
9544.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: AC symbols: plus times 1: times(plus(x,y),z) -> plus(times(x,z),times(y,z)) 2: times(z,plus(x,f(y))) -> times(g(z,y),plus(x,a())) Number of strict rules: 2 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #times(z,plus(x,f(y))) -> #times(g(z,y),plus(x,a())) #2: #times(plus(x,y),z) -> #times(x,z) #3: #times(plus(x,y),z) -> #times(y,z) #4: #times(x,times(y,z)) ->= #times(times(x,y),z) #5: #times(x,times(y,z)) ->= #times(x,y) Number of SCCs: 1, DPs: 5 SCC { #1..5 } POLO(Sum)... POLO(max)... QLPOS... succeeded. a s: [] p: 2 f s: [] p: 2 #times s: {1,2} p: 1 times s: {1,2} p: 1 plus s: {1,2} p: 0 g s: 1 USABLE RULES: { 1..4 } Removed DPs: #1..3 #5 Number of SCCs: 1, DPs: 1 SCC { #4 } only weak rules. Number of SCCs: 0, DPs: 0 Next Dependency Pairs: #6: #times(times(z,plus(x,f(y))),_1) -> #times(times(g(z,y),plus(x,a())),_1) #7: #times(times(plus(x,y),z),_1) -> #times(plus(times(x,z),times(y,z)),_1) #8: #times(x,times(y,z)) ->= #times(times(x,y),z) #9: #times(x,times(y,z)) ->= #times(x,y) Number of SCCs: 1, DPs: 4 SCC { #6..9 } POLO(Sum)... succeeded. a w: 1 f w: 1 #times w: x1 + x2 times w: x1 + x2 + 1 plus w: 20163 g w: 0 USABLE RULES: { 1..4 } Removed DPs: #7 #9 Number of SCCs: 1, DPs: 2 SCC { #6 #8 } POLO(Sum)... POLO(max)... QLPOS... succeeded. a s: [] p: 1 f s: [] p: 2 #times s: {1,2} p: 1 times s: {1,2} p: 1 plus s: {1,2} p: 0 g s: 1 USABLE RULES: { 1..4 } Removed DPs: #6 Number of SCCs: 1, DPs: 1 SCC { #8 } only weak rules. Number of SCCs: 0, DPs: 0
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