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TRS Standard pair #516963993
details
property
value
status
complete
benchmark
10.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n092.star.cs.uiowa.edu
space
Various_04
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.232450962067 seconds
cpu usage
0.077504967
max memory
9867264.0
stage attributes
key
value
output-size
5083
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: +(0(),y) -> y 2: +(s(x),y) -> s(+(x,y)) 3: ++(nil(),ys) -> ys 4: ++(:(x,xs),ys) -> :(x,++(xs,ys)) 5: sum(:(x,nil())) -> :(x,nil()) 6: sum(:(x,:(y,xs))) -> sum(:(+(x,y),xs)) 7: sum(++(xs,:(x,:(y,ys)))) -> sum(++(xs,sum(:(x,:(y,ys))))) 8: -(x,0()) -> x 9: -(0(),s(y)) -> 0() 10: -(s(x),s(y)) -> -(x,y) 11: quot(0(),s(y)) -> 0() 12: quot(s(x),s(y)) -> s(quot(-(x,y),s(y))) 13: length(nil()) -> 0() 14: length(:(x,xs)) -> s(length(xs)) 15: hd(:(x,xs)) -> x 16: avg(xs) -> quot(hd(sum(xs)),length(xs)) Number of strict rules: 16 Direct poly ... failed. Freezing ... failed. Dependency Pairs: #1: #+(s(x),y) -> #+(x,y) #2: #sum(:(x,:(y,xs))) -> #sum(:(+(x,y),xs)) #3: #sum(:(x,:(y,xs))) -> #+(x,y) #4: #quot(s(x),s(y)) -> #quot(-(x,y),s(y)) #5: #quot(s(x),s(y)) -> #-(x,y) #6: #length(:(x,xs)) -> #length(xs) #7: #sum(++(xs,:(x,:(y,ys)))) -> #sum(++(xs,sum(:(x,:(y,ys))))) #8: #sum(++(xs,:(x,:(y,ys)))) -> #++(xs,sum(:(x,:(y,ys)))) #9: #sum(++(xs,:(x,:(y,ys)))) -> #sum(:(x,:(y,ys))) #10: #-(s(x),s(y)) -> #-(x,y) #11: #avg(xs) -> #quot(hd(sum(xs)),length(xs)) #12: #avg(xs) -> #hd(sum(xs)) #13: #avg(xs) -> #sum(xs) #14: #avg(xs) -> #length(xs) #15: #++(:(x,xs),ys) -> #++(xs,ys) Number of SCCs: 7, DPs: 7 SCC { #6 } Sum... succeeded. hd(x1) w: (0) s(x1) w: (0) ++(x1,x2) w: (0) sum(x1) w: (0) #avg(x1) w: (0) 0() w: (0) quot(x1,x2) w: (0) :(x1,x2) w: (1 + x2) #++(x1,x2) w: (0) nil() w: (0) -(x1,x2) w: (0) avg(x1) w: (0) #hd(x1) w: (0) #-(x1,x2) w: (0) #quot(x1,x2) w: (0) +(x1,x2) w: (0) #sum(x1) w: (0) length(x1) w: (0) #length(x1) w: (x1) #+(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #6 Number of SCCs: 6, DPs: 6 SCC { #1 } Sum... succeeded. hd(x1) w: (0) s(x1) w: (1 + x1) ++(x1,x2) w: (0) sum(x1) w: (0) #avg(x1) w: (0) 0() w: (0) quot(x1,x2) w: (0) :(x1,x2) w: (1) #++(x1,x2) w: (0) nil() w: (0) -(x1,x2) w: (0) avg(x1) w: (0) #hd(x1) w: (0) #-(x1,x2) w: (0) #quot(x1,x2) w: (0) +(x1,x2) w: (0) #sum(x1) w: (0) length(x1) w: (0) #length(x1) w: (0) #+(x1,x2) w: (x1) USABLE RULES: { } Removed DPs: #1 Number of SCCs: 5, DPs: 5 SCC { #10 } Sum... succeeded. hd(x1) w: (0) s(x1) w: (1 + x1) ++(x1,x2) w: (0) sum(x1) w: (0)
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