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TRS Standard pair #516963958
details
property
value
status
complete
benchmark
LPAR_intlist.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n093.star.cs.uiowa.edu
space
AProVE_04
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.222099781036 seconds
cpu usage
0.126412625
max memory
1.3156352E7
stage attributes
key
value
output-size
2529
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: intlist(nil()) -> nil() 2: int(s(x),0()) -> nil() 3: int(x,x) -> cons(x,nil()) 4: intlist(cons(x,y)) -> cons(s(x),intlist(y)) 5: int(s(x),s(y)) -> intlist(int(x,y)) 6: int(0(),s(y)) -> cons(0(),int(s(0()),s(y))) 7: intlist(cons(x,nil())) -> cons(s(x),nil()) Number of strict rules: 7 Direct poly ... removes: 3 2 s(x1) w: (x1) 0() w: (0) nil() w: (12618) intlist(x1) w: (x1) int(x1,x2) w: (12619 + x2 + x1) cons(x1,x2) w: (x2 + x1) Number of strict rules: 5 Direct poly ... removes: 1 7 s(x1) w: (2 * x1) 0() w: (0) nil() w: (1) intlist(x1) w: (2 * x1) int(x1,x2) w: (x2 + x1) cons(x1,x2) w: (x2 + x1) Number of strict rules: 3 Direct poly ... failed. Freezing int 4: intlist(cons(x,y)) -> cons(s(x),intlist(y)) 5: int❆1_s(x,s(y)) -> intlist(int(x,y)) 6: int❆1_0(s(y)) -> cons(0(),int❆1_s(0(),s(y))) 8: int(0(),_1) ->= int❆1_0(_1) 9: int(s(_1),_2) ->= int❆1_s(_1,_2) Number of strict rules: 3 Direct poly ... removes: 9 s(x1) w: (25907 + 2 * x1) int❆1_0(x1) w: (25907 + 2 * x1) int❆1_s(x1,x2) w: (2 * x2 + 2 * x1) 0() w: (0) nil() w: (0) intlist(x1) w: (2 * x1) int(x1,x2) w: (25907 + 2 * x2 + x1) cons(x1,x2) w: (25907 + x2 + x1) Number of strict rules: 3 Direct poly ... failed. Dependency Pairs: #1: #int❆1_0(s(y)) -> #int❆1_s(0(),s(y)) #2: #int❆1_s(x,s(y)) -> #intlist(int(x,y)) #3: #int❆1_s(x,s(y)) -> #int(x,y) #4: #int(0(),_1) ->? #int❆1_0(_1) #5: #intlist(cons(x,y)) -> #intlist(y) Number of SCCs: 2, DPs: 4 SCC { #5 } Sum... succeeded. #intlist(x1) w: (x1) s(x1) w: (0) int❆1_0(x1) w: (0) int❆1_s(x1,x2) w: (0) #int❆1_0(x1) w: (0) #int❆1_s(x1,x2) w: (0) 0() w: (0) nil() w: (0) intlist(x1) w: (0) int(x1,x2) w: (0) cons(x1,x2) w: (1 + x2) #int(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #5 Number of SCCs: 1, DPs: 3 SCC { #1 #3 #4 } Sum... succeeded. #intlist(x1) w: (0) s(x1) w: (7722 + x1) int❆1_0(x1) w: (0) int❆1_s(x1,x2) w: (0) #int❆1_0(x1) w: (2 + x1) #int❆1_s(x1,x2) w: (x2 + x1) 0() w: (1) nil() w: (0) intlist(x1) w: (0) int(x1,x2) w: (0) cons(x1,x2) w: (1) #int(x1,x2) w: (7721 + x2 + x1) USABLE RULES: { } Removed DPs: #1 #3 #4 Number of SCCs: 0, DPs: 0
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