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TRS Standard pair #487069196
details
property
value
status
complete
benchmark
cade15.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
GTSSK07
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.498872 seconds
cpu usage
0.093275
user time
0.055364
system time
0.037911
max virtual memory
113188.0
max residence set size
7956.0
stage attributes
key
value
starexec-result
MAYBE
output
MAYBE Input TRS: 1: sort(l) -> st(0(),l) 2: st(n,l) -> cond1(member(n,l),n,l) 3: cond1(true(),n,l) -> cons(n,st(s(n),l)) 4: cond1(false(),n,l) -> cond2(gt(n,max(l)),n,l) 5: cond2(true(),n,l) -> nil() 6: cond2(false(),n,l) -> st(s(n),l) 7: member(n,nil()) -> false() 8: member(n,cons(m,l)) -> or(equal(n,m),member(n,l)) 9: or(x,true()) -> true() 10: or(x,false()) -> x 11: equal(0(),0()) -> true() 12: equal(s(x),0()) -> false() 13: equal(0(),s(y)) -> false() 14: equal(s(x),s(y)) -> equal(x,y) 15: gt(0(),v) -> false() 16: gt(s(u),0()) -> true() 17: gt(s(u),s(v)) -> gt(u,v) 18: max(nil()) -> 0() 19: max(cons(u,l)) -> if(gt(u,max(l)),u,max(l)) 20: if(true(),u,v) -> u 21: if(false(),u,v) -> v Number of strict rules: 21 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #st(n,l) -> #cond1(member(n,l),n,l) #2: #st(n,l) -> #member(n,l) #3: #cond2(false(),n,l) -> #st(s(n),l) #4: #equal(s(x),s(y)) -> #equal(x,y) #5: #gt(s(u),s(v)) -> #gt(u,v) #6: #max(cons(u,l)) -> #if(gt(u,max(l)),u,max(l)) #7: #max(cons(u,l)) -> #gt(u,max(l)) #8: #max(cons(u,l)) -> #max(l) #9: #max(cons(u,l)) -> #max(l) #10: #cond1(true(),n,l) -> #st(s(n),l) #11: #sort(l) -> #st(0(),l) #12: #member(n,cons(m,l)) -> #or(equal(n,m),member(n,l)) #13: #member(n,cons(m,l)) -> #equal(n,m) #14: #member(n,cons(m,l)) -> #member(n,l) #15: #cond1(false(),n,l) -> #cond2(gt(n,max(l)),n,l) #16: #cond1(false(),n,l) -> #gt(n,max(l)) #17: #cond1(false(),n,l) -> #max(l) Number of SCCs: 5, DPs: 9 SCC { #5 } POLO(Sum)... succeeded. cond2 w: 0 #st w: 0 s w: x1 + 1 #cond1 w: 0 gt w: 0 member w: 0 #equal w: 0 st w: 0 false w: 0 true w: 0 cond1 w: 0 #sort w: 0 0 w: 0 if w: 0 max w: 0 nil w: 0 #max w: 0 or w: 0 #gt w: x1 + x2 sort w: 0 cons w: 0 #member w: 0 #if w: 0 equal w: 0 #cond2 w: 0 #or w: 0 USABLE RULES: { } Removed DPs: #5 Number of SCCs: 4, DPs: 8 SCC { #14 } POLO(Sum)... succeeded. cond2 w: 0 #st w: 0 s w: 1 #cond1 w: 0 gt w: 0 member w: 0 #equal w: 0 st w: 0 false w: 0 true w: 0 cond1 w: 0 #sort w: 0 0 w: 0 if w: 0 max w: 0 nil w: 0 #max w: 0 or w: 0 #gt w: 0 sort w: 0 cons w: x2 + 1 #member w: x2
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