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TRS Relative pair #487081723
details
property
value
status
complete
benchmark
#3.49_rand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n143.star.cs.uiowa.edu
space
INVY_15
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.0696829 seconds
cpu usage
0.022947
user time
0.012945
system time
0.010002
max virtual memory
113188.0
max residence set size
5932.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: f(c(s(x),y)) -> f(c(x,s(y))) 2: f(c(s(x),s(y))) -> g(c(x,y)) 3: g(c(x,s(y))) -> g(c(s(x),y)) 4: g(c(s(x),s(y))) -> f(c(x,y)) 5: rand(x) ->= x 6: rand(x) ->= rand(s(x)) Number of strict rules: 4 Direct POLO(bPol) ... removes: 5 s w: x1 c w: x1 + x2 + 1 f w: x1 + 3 rand w: x1 + 28101 g w: x1 + 3 Number of strict rules: 4 Direct POLO(bPol) ... failed. Uncurrying f g 1: f^1_c(s(x),y) -> f^1_c(x,s(y)) 2: f^1_c(s(x),s(y)) -> g^1_c(x,y) 3: g^1_c(x,s(y)) -> g^1_c(s(x),y) 4: g^1_c(s(x),s(y)) -> f^1_c(x,y) 6: rand(x) ->= rand(s(x)) 7: g(c(_1,_2)) ->= g^1_c(_1,_2) 8: f(c(_1,_2)) ->= f^1_c(_1,_2) Number of strict rules: 4 Direct POLO(bPol) ... removes: 8 7 s w: x1 g^1_c w: x1 + x2 c w: x1 + x2 + 1 f w: 2 * x1 rand w: x1 + 28881 f^1_c w: x1 + x2 g w: 2 * x1 + 1323 Number of strict rules: 4 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #f^1_c(s(x),s(y)) -> #g^1_c(x,y) #2: #g^1_c(x,s(y)) -> #g^1_c(s(x),y) #3: #f^1_c(s(x),y) -> #f^1_c(x,s(y)) #4: #g^1_c(s(x),s(y)) -> #f^1_c(x,y) Number of SCCs: 1, DPs: 4 SCC { #1..4 } POLO(Sum)... succeeded. s w: x1 + 1 g^1_c w: 0 c w: 0 #g^1_c w: x1 + x2 f w: 0 rand w: 0 #f^1_c w: x1 + x2 + 1 f^1_c w: 0 g w: 0 Removed DPs: #1 #4 Number of SCCs: 2, DPs: 2 SCC { #3 } POLO(Sum)... succeeded. s w: x1 + 1 g^1_c w: 0 c w: 0 #g^1_c w: 0 f w: 0 rand w: 0 #f^1_c w: x1 + 1 f^1_c w: 0 g w: 0 Removed DPs: #3 Number of SCCs: 1, DPs: 1 SCC { #2 } POLO(Sum)... succeeded. s w: x1 + 1 g^1_c w: 0 c w: 0 #g^1_c w: x2 f w: 0 rand w: 0 #f^1_c w: 1 f^1_c w: 0 g w: 0 Removed DPs: #2 Number of SCCs: 0, DPs: 0
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