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TRS Standard pair #516966878
details
property
value
status
complete
benchmark
4.24.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n183.star.cs.uiowa.edu
space
SK90
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.106868982315 seconds
cpu usage
0.05979012
max memory
9396224.0
stage attributes
key
value
output-size
1998
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: rev(nil()) -> nil() 2: rev(++(x,y)) -> ++(rev1(x,y),rev2(x,y)) 3: rev1(x,nil()) -> x 4: rev1(x,++(y,z)) -> rev1(y,z) 5: rev2(x,nil()) -> nil() 6: rev2(x,++(y,z)) -> rev(++(x,rev(rev2(y,z)))) Number of strict rules: 6 Direct poly ... failed. Freezing rev 1: rev❆1_nil() -> nil() 2: rev❆1_++(x,y) -> ++(rev1(x,y),rev2(x,y)) 3: rev1(x,nil()) -> x 4: rev1(x,++(y,z)) -> rev1(y,z) 5: rev2(x,nil()) -> nil() 6: rev2(x,++(y,z)) -> rev❆1_++(x,rev(rev2(y,z))) 7: rev(++(_1,_2)) ->= rev❆1_++(_1,_2) 8: rev(nil()) ->= rev❆1_nil() Number of strict rules: 6 Direct poly ... failed. Dependency Pairs: #1: #rev❆1_++(x,y) -> #rev1(x,y) #2: #rev❆1_++(x,y) -> #rev2(x,y) #3: #rev2(x,++(y,z)) -> #rev❆1_++(x,rev(rev2(y,z))) #4: #rev2(x,++(y,z)) -> #rev(rev2(y,z)) #5: #rev2(x,++(y,z)) -> #rev2(y,z) #6: #rev(++(_1,_2)) ->? #rev❆1_++(_1,_2) #7: #rev(nil()) ->? #rev❆1_nil() #8: #rev1(x,++(y,z)) -> #rev1(y,z) Number of SCCs: 2, DPs: 6 SCC { #8 } Sum... succeeded. #rev(x1) w: (0) #rev❆1_++(x1,x2) w: (0) rev1(x1,x2) w: (0) rev❆1_nil() w: (0) ++(x1,x2) w: (1 + x2) #rev1(x1,x2) w: (x2) #rev2(x1,x2) w: (0) nil() w: (0) rev❆1_++(x1,x2) w: (0) rev(x1) w: (0) rev2(x1,x2) w: (0) #rev❆1_nil() w: (0) USABLE RULES: { } Removed DPs: #8 Number of SCCs: 1, DPs: 5 SCC { #2..6 } Sum... succeeded. #rev(x1) w: (5 + x1) #rev❆1_++(x1,x2) w: (8861 + x2) rev1(x1,x2) w: (1) rev❆1_nil() w: (1) ++(x1,x2) w: (8857 + x2) #rev1(x1,x2) w: (0) #rev2(x1,x2) w: (5 + x2) nil() w: (1) rev❆1_++(x1,x2) w: (8857 + x2) rev(x1) w: (x1) rev2(x1,x2) w: (x2) #rev❆1_nil() w: (0) USABLE RULES: { 1 2 5..8 } Removed DPs: #2..6 Number of SCCs: 0, DPs: 0
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