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Runti Compl Inner Rewri 22807 pair #381904137
details
property
value
status
complete
benchmark
splitandsort.raml.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n049.star.cs.uiowa.edu
space
raML
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_rci
runtime (wallclock)
40.8196020126 seconds
cpu usage
159.509654898
max memory
4.55278592E8
stage attributes
key
value
output-size
759673
starexec-result
WORST_CASE(?,O(n^5))
output
/export/starexec/sandbox/solver/bin/starexec_run_tct_rci /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?,O(n^5)) * Step 1: Sum WORST_CASE(?,O(n^5)) + Considered Problem: - Strict TRS: #equal(@x,@y) -> #eq(@x,@y) #greater(@x,@y) -> #ckgt(#compare(@x,@y)) append(@l,@ys) -> append#1(@l,@ys) append#1(::(@x,@xs),@ys) -> ::(@x,append(@xs,@ys)) append#1(nil(),@ys) -> @ys insert(@x,@l) -> insert#1(@x,@l,@x) insert#1(tuple#2(@valX,@keyX),@l,@x) -> insert#2(@l,@keyX,@valX,@x) insert#2(::(@l1,@ls),@keyX,@valX,@x) -> insert#3(@l1,@keyX,@ls,@valX,@x) insert#2(nil(),@keyX,@valX,@x) -> ::(tuple#2(::(@valX,nil()),@keyX),nil()) insert#3(tuple#2(@vals1,@key1),@keyX,@ls,@valX,@x) -> insert#4(#equal(@key1,@keyX) ,@key1 ,@ls ,@valX ,@vals1 ,@x) insert#4(#false(),@key1,@ls,@valX,@vals1,@x) -> ::(tuple#2(@vals1,@key1),insert(@x,@ls)) insert#4(#true(),@key1,@ls,@valX,@vals1,@x) -> ::(tuple#2(::(@valX,@vals1),@key1),@ls) quicksort(@l) -> quicksort#1(@l) quicksort#1(::(@z,@zs)) -> quicksort#2(splitqs(@z,@zs),@z) quicksort#1(nil()) -> nil() quicksort#2(tuple#2(@xs,@ys),@z) -> append(quicksort(@xs),::(@z,quicksort(@ys))) sortAll(@l) -> sortAll#1(@l) sortAll#1(::(@x,@xs)) -> sortAll#2(@x,@xs) sortAll#1(nil()) -> nil() sortAll#2(tuple#2(@vals,@key),@xs) -> ::(tuple#2(quicksort(@vals),@key),sortAll(@xs)) split(@l) -> split#1(@l) split#1(::(@x,@xs)) -> insert(@x,split(@xs)) split#1(nil()) -> nil() splitAndSort(@l) -> sortAll(split(@l)) splitqs(@pivot,@l) -> splitqs#1(@l,@pivot) splitqs#1(::(@x,@xs),@pivot) -> splitqs#2(splitqs(@pivot,@xs),@pivot,@x) splitqs#1(nil(),@pivot) -> tuple#2(nil(),nil()) splitqs#2(tuple#2(@ls,@rs),@pivot,@x) -> splitqs#3(#greater(@x,@pivot),@ls,@rs,@x) splitqs#3(#false(),@ls,@rs,@x) -> tuple#2(::(@x,@ls),@rs) splitqs#3(#true(),@ls,@rs,@x) -> tuple#2(@ls,::(@x,@rs)) - Weak TRS: #and(#false(),#false()) -> #false() #and(#false(),#true()) -> #false() #and(#true(),#false()) -> #false() #and(#true(),#true()) -> #true() #ckgt(#EQ()) -> #false() #ckgt(#GT()) -> #true() #ckgt(#LT()) -> #false() #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) #eq(#0(),#0()) -> #true() #eq(#0(),#neg(@y)) -> #false() #eq(#0(),#pos(@y)) -> #false() #eq(#0(),#s(@y)) -> #false() #eq(#neg(@x),#0()) -> #false() #eq(#neg(@x),#neg(@y)) -> #eq(@x,@y) #eq(#neg(@x),#pos(@y)) -> #false() #eq(#pos(@x),#0()) -> #false() #eq(#pos(@x),#neg(@y)) -> #false() #eq(#pos(@x),#pos(@y)) -> #eq(@x,@y) #eq(#s(@x),#0()) -> #false() #eq(#s(@x),#s(@y)) -> #eq(@x,@y) #eq(::(@x_1,@x_2),::(@y_1,@y_2)) -> #and(#eq(@x_1,@y_1),#eq(@x_2,@y_2)) #eq(::(@x_1,@x_2),nil()) -> #false() #eq(::(@x_1,@x_2),tuple#2(@y_1,@y_2)) -> #false() #eq(nil(),::(@y_1,@y_2)) -> #false() #eq(nil(),nil()) -> #true() #eq(nil(),tuple#2(@y_1,@y_2)) -> #false() #eq(tuple#2(@x_1,@x_2),::(@y_1,@y_2)) -> #false() #eq(tuple#2(@x_1,@x_2),nil()) -> #false() #eq(tuple#2(@x_1,@x_2),tuple#2(@y_1,@y_2)) -> #and(#eq(@x_1,@y_1),#eq(@x_2,@y_2)) - Signature: {#and/2,#ckgt/1,#compare/2,#eq/2,#equal/2,#greater/2,append/2,append#1/2,insert/2,insert#1/3,insert#2/4 ,insert#3/5,insert#4/6,quicksort/1,quicksort#1/1,quicksort#2/2,sortAll/1,sortAll#1/1,sortAll#2/2,split/1 ,split#1/1,splitAndSort/1,splitqs/2,splitqs#1/2,splitqs#2/3,splitqs#3/4} / {#0/0,#EQ/0,#GT/0,#LT/0,#false/0 ,#neg/1,#pos/1,#s/1,#true/0,::/2,nil/0,tuple#2/2} - Obligation: innermost runtime complexity wrt. defined symbols {#and,#ckgt,#compare,#eq,#equal,#greater,append,append#1 ,insert,insert#1,insert#2,insert#3,insert#4,quicksort,quicksort#1,quicksort#2,sortAll,sortAll#1,sortAll#2 ,split,split#1,splitAndSort,splitqs,splitqs#1,splitqs#2,splitqs#3} and constructors {#0,#EQ,#GT,#LT,#false ,#neg,#pos,#s,#true,::,nil,tuple#2} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: ()
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