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TRS Relative pair #487081717
details
property
value
status
complete
benchmark
#3.56_rand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n147.star.cs.uiowa.edu
space
INVY_15
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.072646 seconds
cpu usage
0.027655
user time
0.013103
system time
0.014552
max virtual memory
113188.0
max residence set size
7584.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: g(c(x,s(y))) -> g(c(s(x),y)) 2: f(c(s(x),y)) -> f(c(x,s(y))) 3: f(f(x)) -> f(d(f(x))) 4: f(x) -> x 5: rand(x) ->= x 6: rand(x) ->= rand(s(x)) Number of strict rules: 4 Direct POLO(bPol) ... removes: 4 5 d w: x1 s w: x1 c w: 2 * x1 + x2 + 30613 f w: x1 + 1 rand w: 2 * x1 + 5854 g w: 2 * x1 Number of strict rules: 3 Direct POLO(bPol) ... failed. Uncurrying g 1: g^1_c(x,s(y)) -> g^1_c(s(x),y) 2: f(c(s(x),y)) -> f(c(x,s(y))) 3: f(f(x)) -> f(d(f(x))) 6: rand(x) ->= rand(s(x)) 7: g(c(_1,_2)) ->= g^1_c(_1,_2) Number of strict rules: 3 Direct POLO(bPol) ... removes: 7 d w: x1 s w: x1 g^1_c w: x1 + x2 c w: x1 + x2 + 3 f w: x1 + 5854 rand w: x1 + 28100 g w: x1 Number of strict rules: 3 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #f(c(s(x),y)) -> #f(c(x,s(y))) #2: #f(f(x)) -> #f(d(f(x))) #3: #g^1_c(x,s(y)) -> #g^1_c(s(x),y) Number of SCCs: 2, DPs: 2 SCC { #3 } POLO(Sum)... succeeded. d w: 2438 s w: x1 + 1 g^1_c w: 0 c w: x1 + x2 + 8855 #g^1_c w: x2 f w: x1 + 7720 rand w: 0 #f w: 0 g w: 0 Removed DPs: #3 Number of SCCs: 1, DPs: 1 SCC { #1 } POLO(Sum)... succeeded. d w: 2731 s w: x1 + 1 g^1_c w: 0 c w: x1 + 8856 #g^1_c w: 0 f w: x1 + 7720 rand w: 0 #f w: x1 g w: 0 Removed DPs: #1 Number of SCCs: 0, DPs: 0
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