details

property	value
status	complete
benchmark	flatten.raml.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n028.star.cs.uiowa.edu
space	raML

run statistics

property	value
solver	tct 2018-07-13
configuration	tct_rci
runtime (wallclock)	6.64675593376 seconds
cpu usage	27.242324022
max memory	1.21516032E8

stage attributes

key	value
output-size	171492
starexec-result	WORST_CASE(?,O(n^2))

output

/export/starexec/sandbox2/solver/bin/starexec_run_tct_rci /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?,O(n^2)) * Step 1: Sum WORST_CASE(?,O(n^2)) + Considered Problem: - Strict TRS: #less(@x,@y) -> #cklt(#compare(@x,@y)) append(@l1,@l2) -> append#1(@l1,@l2) append#1(::(@x,@xs),@l2) -> ::(@x,append(@xs,@l2)) append#1(nil(),@l2) -> @l2 flatten(@t) -> flatten#1(@t) flatten#1(leaf()) -> nil() flatten#1(node(@l,@t1,@t2)) -> append(@l,append(flatten(@t1),flatten(@t2))) flattensort(@t) -> insertionsort(flatten(@t)) insert(@x,@l) -> insert#1(@l,@x) insert#1(::(@y,@ys),@x) -> insert#2(#less(@y,@x),@x,@y,@ys) insert#1(nil(),@x) -> ::(@x,nil()) insert#2(#false(),@x,@y,@ys) -> ::(@x,::(@y,@ys)) insert#2(#true(),@x,@y,@ys) -> ::(@y,insert(@x,@ys)) insertionsort(@l) -> insertionsort#1(@l) insertionsort#1(::(@x,@xs)) -> insert(@x,insertionsort(@xs)) insertionsort#1(nil()) -> nil() - Weak TRS: #cklt(#EQ()) -> #false() #cklt(#GT()) -> #false() #cklt(#LT()) -> #true() #compare(#0(),#0()) -> #EQ() #compare(#0(),#neg(@y)) -> #GT() #compare(#0(),#pos(@y)) -> #LT() #compare(#0(),#s(@y)) -> #LT() #compare(#neg(@x),#0()) -> #LT() #compare(#neg(@x),#neg(@y)) -> #compare(@y,@x) #compare(#neg(@x),#pos(@y)) -> #LT() #compare(#pos(@x),#0()) -> #GT() #compare(#pos(@x),#neg(@y)) -> #GT() #compare(#pos(@x),#pos(@y)) -> #compare(@x,@y) #compare(#s(@x),#0()) -> #GT() #compare(#s(@x),#s(@y)) -> #compare(@x,@y) - Signature: {#cklt/1,#compare/2,#less/2,append/2,append#1/2,flatten/1,flatten#1/1,flattensort/1,insert/2,insert#1/2 ,insert#2/4,insertionsort/1,insertionsort#1/1} / {#0/0,#EQ/0,#GT/0,#LT/0,#false/0,#neg/1,#pos/1,#s/1,#true/0 ,::/2,leaf/0,nil/0,node/3} - Obligation: innermost runtime complexity wrt. defined symbols {#cklt,#compare,#less,append,append#1,flatten,flatten#1 ,flattensort,insert,insert#1,insert#2,insertionsort,insertionsort#1} and constructors {#0,#EQ,#GT,#LT,#false ,#neg,#pos,#s,#true,::,leaf,nil,node} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: () * Step 2: DependencyPairs WORST_CASE(?,O(n^2)) + Considered Problem: - Strict TRS: #less(@x,@y) -> #cklt(#compare(@x,@y)) append(@l1,@l2) -> append#1(@l1,@l2) append#1(::(@x,@xs),@l2) -> ::(@x,append(@xs,@l2)) append#1(nil(),@l2) -> @l2 flatten(@t) -> flatten#1(@t) flatten#1(leaf()) -> nil() flatten#1(node(@l,@t1,@t2)) -> append(@l,append(flatten(@t1),flatten(@t2))) flattensort(@t) -> insertionsort(flatten(@t)) insert(@x,@l) -> insert#1(@l,@x) insert#1(::(@y,@ys),@x) -> insert#2(#less(@y,@x),@x,@y,@ys) insert#1(nil(),@x) -> ::(@x,nil()) insert#2(#false(),@x,@y,@ys) -> ::(@x,::(@y,@ys)) insert#2(#true(),@x,@y,@ys) -> ::(@y,insert(@x,@ys)) insertionsort(@l) -> insertionsort#1(@l) insertionsort#1(::(@x,@xs)) -> insert(@x,insertionsort(@xs)) insertionsort#1(nil()) -> nil() - Weak TRS: #cklt(#EQ()) -> #false() #cklt(#GT()) -> #false() #cklt(#LT()) -> #true() #compare(#0(),#0()) -> #EQ() #compare(#0(),#neg(@y)) -> #GT() #compare(#0(),#pos(@y)) -> #LT() #compare(#0(),#s(@y)) -> #LT() #compare(#neg(@x),#0()) -> #LT() #compare(#neg(@x),#neg(@y)) -> #compare(@y,@x) #compare(#neg(@x),#pos(@y)) -> #LT() #compare(#pos(@x),#0()) -> #GT() #compare(#pos(@x),#neg(@y)) -> #GT() #compare(#pos(@x),#pos(@y)) -> #compare(@x,@y) #compare(#s(@x),#0()) -> #GT() #compare(#s(@x),#s(@y)) -> #compare(@x,@y) - Signature: {#cklt/1,#compare/2,#less/2,append/2,append#1/2,flatten/1,flatten#1/1,flattensort/1,insert/2,insert#1/2 ,insert#2/4,insertionsort/1,insertionsort#1/1} / {#0/0,#EQ/0,#GT/0,#LT/0,#false/0,#neg/1,#pos/1,#s/1,#true/0 ,::/2,leaf/0,nil/0,node/3} - Obligation: innermost runtime complexity wrt. defined symbols {#cklt,#compare,#less,append,append#1,flatten,flatten#1 ,flattensort,insert,insert#1,insert#2,insertionsort,insertionsort#1} and constructors {#0,#EQ,#GT,#LT,#false ,#neg,#pos,#s,#true,::,leaf,nil,node} + Applied Processor: DependencyPairs {dpKind_ = DT} + Details: popout

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

job log

popout

actions

all output return to Runti Compl Inner Rewri 22807