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TRS Standard pair #487072241
details
property
value
status
complete
benchmark
secret5.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n071.star.cs.uiowa.edu
space
Secret_07_TRS
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.084348 seconds
cpu usage
0.033655
user time
0.016012
system time
0.017643
max virtual memory
113188.0
max residence set size
7788.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: t(N) -> cs(r(q(N)),nt(ns(N))) 2: q(0()) -> 0() 3: q(s(X)) -> s(p(q(X),d(X))) 4: d(0()) -> 0() 5: d(s(X)) -> s(s(d(X))) 6: p(0(),X) -> X 7: p(X,0()) -> X 8: p(s(X),s(Y)) -> s(s(p(X,Y))) 9: f(0(),X) -> nil() 10: f(s(X),cs(Y,Z)) -> cs(Y,nf(X,a(Z))) 11: t(X) -> nt(X) 12: s(X) -> ns(X) 13: f(X1,X2) -> nf(X1,X2) 14: a(nt(X)) -> t(a(X)) 15: a(ns(X)) -> s(a(X)) 16: a(nf(X1,X2)) -> f(a(X1),a(X2)) 17: a(X) -> X Number of strict rules: 17 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #a(nt(X)) -> #t(a(X)) #2: #a(nt(X)) -> #a(X) #3: #f(s(X),cs(Y,Z)) -> #a(Z) #4: #d(s(X)) -> #s(s(d(X))) #5: #d(s(X)) -> #s(d(X)) #6: #d(s(X)) -> #d(X) #7: #a(nf(X1,X2)) -> #f(a(X1),a(X2)) #8: #a(nf(X1,X2)) -> #a(X1) #9: #a(nf(X1,X2)) -> #a(X2) #10: #q(s(X)) -> #s(p(q(X),d(X))) #11: #q(s(X)) -> #p(q(X),d(X)) #12: #q(s(X)) -> #q(X) #13: #q(s(X)) -> #d(X) #14: #t(N) -> #q(N) #15: #p(s(X),s(Y)) -> #s(s(p(X,Y))) #16: #p(s(X),s(Y)) -> #s(p(X,Y)) #17: #p(s(X),s(Y)) -> #p(X,Y) #18: #a(ns(X)) -> #s(a(X)) #19: #a(ns(X)) -> #a(X) Number of SCCs: 4, DPs: 9 SCC { #12 } POLO(Sum)... succeeded. a w: 0 nf w: 0 q w: 0 d w: 0 s w: x1 + 1 r w: 0 t w: 0 ns w: 0 #p w: 0 cs w: 0 f w: 0 p w: 0 0 w: 0 #s w: 0 nil w: 0 #d w: 0 #f w: 0 nt w: 0 #a w: 0 #q w: x1 #t w: 0 USABLE RULES: { } Removed DPs: #12 Number of SCCs: 3, DPs: 8 SCC { #6 } POLO(Sum)... succeeded. a w: 0 nf w: 0 q w: 0 d w: 0 s w: x1 + 1 r w: 0 t w: 0 ns w: 0 #p w: 0 cs w: 0 f w: 0 p w: 0 0 w: 0 #s w: 0 nil w: 0 #d w: x1 #f w: 0 nt w: 0 #a w: 0 #q w: 0 #t w: 0 USABLE RULES: { } Removed DPs: #6 Number of SCCs: 2, DPs: 7 SCC { #17 } POLO(Sum)... succeeded. a w: 0 nf w: 0 q w: 0
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