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TRS Standard pair #487073821
details
property
value
status
complete
benchmark
6.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n182.star.cs.uiowa.edu
space
MNZ_10
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
5.68117 seconds
cpu usage
5.65994
user time
5.64658
system time
0.013362
max virtual memory
159584.0
max residence set size
6844.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: s(s(0())) -> f(s(0())) 2: g(x) -> h(x,x) 3: s(x) -> h(x,0()) 4: s(x) -> h(0(),x) 5: f(g(x)) -> g(g(f(x))) 6: g(s(x)) -> s(s(g(x))) 7: h(f(x),g(x)) -> f(s(x)) 8: s(s(s(0()))) -> k(0()) 9: k(0()) -> s(0()) 10: s(s(s(s(s(0()))))) -> k(s(0())) 11: k(s(0())) -> s(s(s(0()))) 12: s(s(s(s(s(s(s(s(s(s(s(s(s(0()))))))))))))) -> k(s(s(0()))) 13: k(s(s(0()))) -> s(s(s(s(s(s(s(s(s(s(s(0()))))))))))) 14: h(k(x),g(x)) -> k(s(x)) Number of strict rules: 14 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #g(x) -> #h(x,x) #2: #g(s(x)) -> #s(s(g(x))) #3: #g(s(x)) -> #s(g(x)) #4: #g(s(x)) -> #g(x) #5: #k(s(s(0()))) -> #s(s(s(s(s(s(s(s(s(s(s(0()))))))))))) #6: #k(s(s(0()))) -> #s(s(s(s(s(s(s(s(s(s(0())))))))))) #7: #k(s(s(0()))) -> #s(s(s(s(s(s(s(s(s(0()))))))))) #8: #k(s(s(0()))) -> #s(s(s(s(s(s(s(s(0())))))))) #9: #k(s(s(0()))) -> #s(s(s(s(s(s(s(0()))))))) #10: #k(s(s(0()))) -> #s(s(s(s(s(s(0())))))) #11: #k(s(s(0()))) -> #s(s(s(s(s(0()))))) #12: #k(s(s(0()))) -> #s(s(s(s(0())))) #13: #k(s(s(0()))) -> #s(s(s(0()))) #14: #k(0()) -> #s(0()) #15: #k(s(0())) -> #s(s(s(0()))) #16: #k(s(0())) -> #s(s(0())) #17: #s(s(s(s(s(s(s(s(s(s(s(s(s(0()))))))))))))) -> #k(s(s(0()))) #18: #h(k(x),g(x)) -> #k(s(x)) #19: #h(k(x),g(x)) -> #s(x) #20: #h(f(x),g(x)) -> #f(s(x)) #21: #h(f(x),g(x)) -> #s(x) #22: #s(s(s(s(s(0()))))) -> #k(s(0())) #23: #f(g(x)) -> #g(g(f(x))) #24: #f(g(x)) -> #g(f(x)) #25: #f(g(x)) -> #f(x) #26: #s(x) -> #h(x,0()) #27: #s(s(0())) -> #f(s(0())) #28: #s(s(s(0()))) -> #k(0()) #29: #s(x) -> #h(0(),x) Number of SCCs: 2, DPs: 2 SCC { #25 } POLO(Sum)... succeeded. h w: 0 s w: 0 k w: 0 f w: 0 0 w: 0 #h w: 0 #k w: 0 #s w: 0 #f w: x1 #g w: 0 g w: x1 + 1 USABLE RULES: { } Removed DPs: #25 Number of SCCs: 1, DPs: 1 SCC { #4 } POLO(Sum)... succeeded. h w: 0 s w: x1 + 1 k w: 0 f w: 0 0 w: 0 #h w: 0 #k w: 0 #s w: 0 #f w: 0 #g w: x1 g w: 1 USABLE RULES: { } Removed DPs: #4 Number of SCCs: 0, DPs: 0
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