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TRS Equational pair #516978253
details
property
value
status
complete
benchmark
AC12.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n065.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.126940965652 seconds
cpu usage
0.093582483
max memory
1.2685312E7
stage attributes
key
value
output-size
2403
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(x),x)),x) -> f(h(x),f(x,x)) 2: f(h(x),g(x)) -> f(g(h(x)),x) 3: f(g(h(x)),f(x,f(x,y))) -> f(g(f(h(x),y)),x) 4: f(g(g(x)),x) -> f(g(x),g(x)) Number of strict rules: 4 Direct POLO(bPol) ... removes: 1 3 h w: x1 f w: x1 + x2 + 1 g w: x1 + 1 Number of strict rules: 2 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #f(h(x),g(x)) -> #f(g(h(x)),x) #2: #f(x,f(y,z)) ->= #f(f(x,y),z) #3: #f(x,f(y,z)) ->= #f(x,y) #4: #f(g(g(x)),x) -> #f(g(x),g(x)) Number of SCCs: 1, DPs: 4 SCC { #1..4 } POLO(Sum)... succeeded. h w: x1 + 1 f w: x1 + x2 + 1 #f w: x1 + x2 g w: x1 + 20653 USABLE RULES: { 2 4 5 } Removed DPs: #3 Number of SCCs: 1, DPs: 3 SCC { #1 #2 #4 } POLO(Sum)... succeeded. h w: x1 + 20654 f w: x1 + x2 + 1 #f w: x1 + x2 g w: 0 USABLE RULES: { 2 4 5 } Removed DPs: #1 Number of SCCs: 1, DPs: 2 SCC { #2 #4 } POLO(Sum)... POLO(max)... succeeded. h w: 0 f w: max(x1, x2) #f w: max(x1, x2) g w: x1 + 1 USABLE RULES: { 2 4 5 } Removed DPs: #4 Number of SCCs: 1, DPs: 1 SCC { #2 } only weak rules. Number of SCCs: 0, DPs: 0 Next Dependency Pairs: #5: #f(f(h(x),g(x)),_1) -> #f(f(g(h(x)),x),_1) #6: #f(x,f(y,z)) ->= #f(f(x,y),z) #7: #f(x,f(y,z)) ->= #f(x,y) #8: #f(f(g(g(x)),x),_1) -> #f(f(g(x),g(x)),_1) Number of SCCs: 1, DPs: 4 SCC { #5..8 } POLO(Sum)... succeeded. h w: x1 + 1 f w: x1 + x2 + 1 #f w: x1 + x2 g w: x1 + 1424 USABLE RULES: { 2 4 5 } Removed DPs: #7 Number of SCCs: 1, DPs: 3 SCC { #5 #6 #8 } POLO(Sum)... succeeded. h w: x1 + 1 f w: x1 + x2 + 29283 #f w: x1 + x2 g w: 0 USABLE RULES: { 2 4 5 } Removed DPs: #5 Number of SCCs: 1, DPs: 2 SCC { #6 #8 } POLO(Sum)... POLO(max)... QLPOS... succeeded. h s: [] p: 1 f s: {1,2} p: 2 #f s: {1,2} p: 2 g s: 1 USABLE RULES: { 2 4 5 } Removed DPs: #8 Number of SCCs: 1, DPs: 1 SCC { #6 } only weak rules. Number of SCCs: 0, DPs: 0
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