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TRS Equational pair #487092814
details
property
value
status
complete
benchmark
YWHM14_3.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n151.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.0462539 seconds
cpu usage
0.021343
user time
0.008394
system time
0.012949
max virtual memory
113188.0
max residence set size
6252.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: AC symbols: plus 1: f(plus(x,y)) -> plus(f(x),y) 2: plus(g(x),y) -> g(plus(x,y)) 3: plus(f(a()),g(b())) -> plus(f(b()),g(a())) 4: h(a(),b()) -> h(b(),a()) 5: h(a(),g(g(a()))) -> h(g(a()),f(a())) 6: h(g(a()),a()) -> h(a(),g(b())) 7: h(g(a()),b()) -> h(a(),g(a())) Number of strict rules: 7 Direct POLO(bPol) ... removes: 1 5 a w: 841 h w: x1 + x2 b w: 841 f w: 2 * x1 plus w: x1 + x2 + 18588 g w: x1 + 842 Number of strict rules: 5 Direct POLO(bPol) ... removes: 4 7 6 a w: 28225 h w: 2 * x1 + x2 b w: 28224 f w: x1 plus w: x1 + x2 + 18588 g w: x1 + 844 Number of strict rules: 2 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #plus(g(x),y) -> #plus(x,y) #2: #plus(f(a()),g(b())) -> #plus(f(b()),g(a())) #3: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z) #4: #plus(x,plus(y,z)) ->= #plus(x,y) Number of SCCs: 1, DPs: 4 SCC { #1..4 } POLO(Sum)... succeeded. a w: 1 h w: 0 b w: 2 #plus w: x1 + x2 f w: 0 plus w: x1 + x2 + 8856 g w: x1 + 11798 USABLE RULES: { 2 3 8 } Removed DPs: #1 #2 #4 Number of SCCs: 1, DPs: 1 SCC { #3 } only weak rules. Number of SCCs: 0, DPs: 0 Next Dependency Pairs: #5: #plus(plus(g(x),y),_1) -> #plus(g(plus(x,y)),_1) #6: #plus(plus(f(a()),g(b())),_1) -> #plus(plus(f(b()),g(a())),_1) #7: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z) #8: #plus(x,plus(y,z)) ->= #plus(x,y) Number of SCCs: 1, DPs: 4 SCC { #5..8 } POLO(Sum)... succeeded. a w: 1 h w: 0 b w: 2 #plus w: x1 + x2 f w: 0 plus w: x1 + x2 + 8856 g w: x1 + 42736 USABLE RULES: { 2 3 8 } Removed DPs: #6 #8 Number of SCCs: 1, DPs: 2 SCC { #5 #7 } POLO(Sum)... succeeded. a w: 1 h w: 0 b w: 2 #plus w: x1 + x2 f w: 23623 plus w: x1 + x2 + 1 g w: 20538 USABLE RULES: { 2 3 8 } Removed DPs: #5 Number of SCCs: 1, DPs: 1 SCC { #7 } only weak rules. Number of SCCs: 0, DPs: 0
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