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TRS Equational pair #487523105
details
property
value
status
complete
benchmark
AC19.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n141.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.0691349506378 seconds
cpu usage
0.043168224
max memory
7905280.0
stage attributes
key
value
output-size
1720
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: AC symbols: f 1: f(g(f(h(a()),a())),a()) -> f(h(a()),f(a(),a())) 2: f(h(a()),g(a())) -> f(g(h(a())),a()) 3: f(g(h(a())),f(f(a(),a()),a())) -> f(g(f(h(a()),a())),a()) 4: f(h(a()),a()) -> f(h(a()),b()) 5: f(i(x,y),f(a(),y)) -> f(g(i(x,y)),y) Number of strict rules: 5 Direct POLO(bPol) ... removes: 4 1 3 5 h w: x1 a w: 2 b w: 0 f w: x1 + x2 i w: x1 + 2 * x2 + 1 g w: x1 + 1 Number of strict rules: 1 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #f(h(a()),g(a())) -> #f(g(h(a())),a()) #2: #f(x,f(y,z)) ->= #f(f(x,y),z) #3: #f(x,f(y,z)) ->= #f(x,y) Number of SCCs: 1, DPs: 3 SCC { #1..3 } POLO(Sum)... succeeded. h w: x1 + 1 a w: 1 b w: 0 f w: x1 + x2 + 1 #f w: x1 + x2 i w: 0 g w: 11797 USABLE RULES: { 2 6 } Removed DPs: #1 #3 Number of SCCs: 1, DPs: 1 SCC { #2 } only weak rules. Number of SCCs: 0, DPs: 0 Next Dependency Pairs: #4: #f(f(h(a()),g(a())),_1) -> #f(f(g(h(a())),a()),_1) #5: #f(x,f(y,z)) ->= #f(f(x,y),z) #6: #f(x,f(y,z)) ->= #f(x,y) Number of SCCs: 1, DPs: 3 SCC { #4..6 } POLO(Sum)... succeeded. h w: x1 + 3109 a w: 1 b w: 0 f w: x1 + x2 + 1 #f w: x1 + x2 i w: 0 g w: 8689 USABLE RULES: { 2 6 } Removed DPs: #4 #6 Number of SCCs: 1, DPs: 1 SCC { #5 } only weak rules. Number of SCCs: 0, DPs: 0
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