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TRS Relative pair #487520545
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
n138.star.cs.uiowa.edu
space
INVY_15
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.12237906456 seconds
cpu usage
0.080884436
max memory
1.0272768E7
stage attributes
key
value
output-size
1781
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_Default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- 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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