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	n161.star.cs.uiowa.edu
space	Various_04

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	1.90947008133 seconds
cpu usage	6.233581416
max memory	7.73705728E8

stage attributes

key	value
output-size	17789
starexec-result	"YES"

output

/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: +(0(),y) -> y +(s(x),y) -> s(+(x,y)) ++(nil(),ys) -> ys ++(:(x,xs),ys) -> :(x,++(xs,ys)) sum(:(x,nil())) -> :(x,nil()) sum(:(x,:(y,xs))) -> sum(:(+(x,y),xs)) sum(++(xs,:(x,:(y,ys)))) -> sum(++(xs,sum(:(x,:(y,ys))))) -(x,0()) -> x -(0(),s(y)) -> 0() -(s(x),s(y)) -> -(x,y) quot(0(),s(y)) -> 0() quot(s(x),s(y)) -> s(quot(-(x,y),s(y))) length(nil()) -> 0() length(:(x,xs)) -> s(length(xs)) hd(:(x,xs)) -> x avg(xs) -> quot(hd(sum(xs)),length(xs)) Proof: DP Processor: DPs: +#(s(x),y) -> +#(x,y) ++#(:(x,xs),ys) -> ++#(xs,ys) sum#(:(x,:(y,xs))) -> +#(x,y) sum#(:(x,:(y,xs))) -> sum#(:(+(x,y),xs)) sum#(++(xs,:(x,:(y,ys)))) -> sum#(:(x,:(y,ys))) sum#(++(xs,:(x,:(y,ys)))) -> ++#(xs,sum(:(x,:(y,ys)))) sum#(++(xs,:(x,:(y,ys)))) -> sum#(++(xs,sum(:(x,:(y,ys))))) -#(s(x),s(y)) -> -#(x,y) quot#(s(x),s(y)) -> -#(x,y) quot#(s(x),s(y)) -> quot#(-(x,y),s(y)) length#(:(x,xs)) -> length#(xs) avg#(xs) -> length#(xs) avg#(xs) -> sum#(xs) avg#(xs) -> hd#(sum(xs)) avg#(xs) -> quot#(hd(sum(xs)),length(xs)) TRS: +(0(),y) -> y +(s(x),y) -> s(+(x,y)) ++(nil(),ys) -> ys ++(:(x,xs),ys) -> :(x,++(xs,ys)) sum(:(x,nil())) -> :(x,nil()) sum(:(x,:(y,xs))) -> sum(:(+(x,y),xs)) sum(++(xs,:(x,:(y,ys)))) -> sum(++(xs,sum(:(x,:(y,ys))))) -(x,0()) -> x -(0(),s(y)) -> 0() -(s(x),s(y)) -> -(x,y) quot(0(),s(y)) -> 0() quot(s(x),s(y)) -> s(quot(-(x,y),s(y))) length(nil()) -> 0() length(:(x,xs)) -> s(length(xs)) hd(:(x,xs)) -> x avg(xs) -> quot(hd(sum(xs)),length(xs)) TDG Processor: DPs: +#(s(x),y) -> +#(x,y) ++#(:(x,xs),ys) -> ++#(xs,ys) sum#(:(x,:(y,xs))) -> +#(x,y) sum#(:(x,:(y,xs))) -> sum#(:(+(x,y),xs)) sum#(++(xs,:(x,:(y,ys)))) -> sum#(:(x,:(y,ys))) sum#(++(xs,:(x,:(y,ys)))) -> ++#(xs,sum(:(x,:(y,ys)))) sum#(++(xs,:(x,:(y,ys)))) -> sum#(++(xs,sum(:(x,:(y,ys))))) -#(s(x),s(y)) -> -#(x,y) quot#(s(x),s(y)) -> -#(x,y) quot#(s(x),s(y)) -> quot#(-(x,y),s(y)) length#(:(x,xs)) -> length#(xs) avg#(xs) -> length#(xs) avg#(xs) -> sum#(xs) avg#(xs) -> hd#(sum(xs)) avg#(xs) -> quot#(hd(sum(xs)),length(xs)) TRS: +(0(),y) -> y +(s(x),y) -> s(+(x,y)) ++(nil(),ys) -> ys ++(:(x,xs),ys) -> :(x,++(xs,ys)) sum(:(x,nil())) -> :(x,nil()) sum(:(x,:(y,xs))) -> sum(:(+(x,y),xs)) sum(++(xs,:(x,:(y,ys)))) -> sum(++(xs,sum(:(x,:(y,ys))))) -(x,0()) -> x -(0(),s(y)) -> 0() -(s(x),s(y)) -> -(x,y) quot(0(),s(y)) -> 0() quot(s(x),s(y)) -> s(quot(-(x,y),s(y))) length(nil()) -> 0() length(:(x,xs)) -> s(length(xs)) hd(:(x,xs)) -> x avg(xs) -> quot(hd(sum(xs)),length(xs)) graph: avg#(xs) -> length#(xs) -> length#(:(x,xs)) -> length#(xs) avg#(xs) -> quot#(hd(sum(xs)),length(xs)) -> quot#(s(x),s(y)) -> quot#(-(x,y),s(y)) popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to TRS Standard