details

property	value
status	complete
benchmark	8.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n174.star.cs.uiowa.edu
space	MNZ_10

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.485571 seconds
cpu usage	0.459622
user time	0.452416
system time	0.007206
max virtual memory	113188.0
max residence set size	9244.0

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(0())) -> k(0()) 9: k(0()) -> 0() 10: s(s(s(0()))) -> k(s(0())) 11: k(s(0())) -> s(0()) 12: 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(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(0())))))))) #6: #k(s(s(0()))) -> #s(s(s(s(s(s(s(0()))))))) #7: #k(s(s(0()))) -> #s(s(s(s(s(s(0())))))) #8: #k(s(s(0()))) -> #s(s(s(s(s(0()))))) #9: #k(s(s(0()))) -> #s(s(s(s(0())))) #10: #k(s(s(0()))) -> #s(s(s(0()))) #11: #s(s(s(s(s(s(s(s(s(s(0())))))))))) -> #k(s(s(0()))) #12: #h(k(x),g(x)) -> #k(s(x)) #13: #h(k(x),g(x)) -> #s(x) #14: #h(f(x),g(x)) -> #f(s(x)) #15: #h(f(x),g(x)) -> #s(x) #16: #s(s(s(0()))) -> #k(s(0())) #17: #f(g(x)) -> #g(g(f(x))) #18: #f(g(x)) -> #g(f(x)) #19: #f(g(x)) -> #f(x) #20: #s(x) -> #h(x,0()) #21: #s(s(0())) -> #f(s(0())) #22: #s(s(0())) -> #k(0()) #23: #s(x) -> #h(0(),x) Number of SCCs: 2, DPs: 2 SCC { #19 } 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: #19 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 popout

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all output return to TRS Standard