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TRS Standard pair #487074041
details
property
value
status
complete
benchmark
filliatre.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n074.star.cs.uiowa.edu
space
CiME_04
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.12737 seconds
cpu usage
0.026025
user time
0.014106
system time
0.011919
max virtual memory
113188.0
max residence set size
9240.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: g(A()) -> A() 2: g(B()) -> A() 3: g(B()) -> B() 4: g(C()) -> A() 5: g(C()) -> B() 6: g(C()) -> C() 7: foldf(x,nil()) -> x 8: foldf(x,cons(y,z)) -> f(foldf(x,z),y) 9: f(t,x) -> f'(t,g(x)) 10: f'(triple(a,b,c),C()) -> triple(a,b,cons(C(),c)) 11: f'(triple(a,b,c),B()) -> f(triple(a,b,c),A()) 12: f'(triple(a,b,c),A()) -> f''(foldf(triple(cons(A(),a),nil(),c),b)) 13: f''(triple(a,b,c)) -> foldf(triple(a,b,nil()),c) Number of strict rules: 13 Direct POLO(bPol) ... removes: 4 5 11 2 triple w: x1 + x2 + x3 + 13214 C w: 24775 f w: x1 + x2 + 14098 B w: 24774 A w: 24773 nil w: 0 f' w: x1 + x2 + 14098 cons w: x1 + x2 + 14098 foldf w: x1 + x2 g w: x1 f'' w: x1 Number of strict rules: 9 Direct POLO(bPol) ... removes: 7 12 13 triple w: x1 + 2 * x2 + 2 * x3 + 1 C w: 23975 f w: x1 + 2 * x2 + 21614 B w: 5662 A w: 5662 nil w: 1911 f' w: x1 + 2 * x2 + 21614 cons w: x1 + x2 + 10807 foldf w: x1 + 2 * x2 + 1 g w: x1 f'' w: x1 + 12645 Number of strict rules: 6 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #f(t,x) -> #f'(t,g(x)) #2: #f(t,x) -> #g(x) #3: #foldf(x,cons(y,z)) -> #f(foldf(x,z),y) #4: #foldf(x,cons(y,z)) -> #foldf(x,z) Number of SCCs: 1, DPs: 1 SCC { #4 } POLO(Sum)... succeeded. #f' w: 0 triple w: 0 #foldf w: x2 C w: 0 f w: 0 B w: 0 A w: 0 nil w: 0 #f w: 0 #g w: 0 f' w: 0 cons w: x2 + 1 foldf w: 0 g w: 0 f'' w: 0 USABLE RULES: { } Removed DPs: #4 Number of SCCs: 0, DPs: 0
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