details

property	value
status	complete
benchmark	4.61.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n072.star.cs.uiowa.edu
space	SK90

run statistics

property	value
solver	tct 2018-07-13
configuration	tct_rc
runtime (wallclock)	295.184917927 seconds
cpu usage	700.976677511
max memory	7.629385728E9

stage attributes

key	value
output-size	2436
starexec-result	WORST_CASE(Omega(n^1),?)

output

/export/starexec/sandbox/solver/bin/starexec_run_tct_rc /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^1),?) * Step 1: Sum WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: bsort(.(x,y)) -> last(.(bubble(.(x,y)),bsort(butlast(bubble(.(x,y)))))) bsort(nil()) -> nil() bubble(.(x,.(y,z))) -> if(<=(x,y),.(y,bubble(.(x,z))),.(x,bubble(.(y,z)))) bubble(.(x,nil())) -> .(x,nil()) bubble(nil()) -> nil() butlast(.(x,.(y,z))) -> .(x,butlast(.(y,z))) butlast(.(x,nil())) -> nil() butlast(nil()) -> nil() last(.(x,.(y,z))) -> last(.(y,z)) last(.(x,nil())) -> x last(nil()) -> 0() - Signature: {bsort/1,bubble/1,butlast/1,last/1} / {./2,0/0,<=/2,if/3,nil/0} - Obligation: runtime complexity wrt. defined symbols {bsort,bubble,butlast,last} and constructors {.,0,<=,if,nil} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: () * Step 2: DecreasingLoops WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: bsort(.(x,y)) -> last(.(bubble(.(x,y)),bsort(butlast(bubble(.(x,y)))))) bsort(nil()) -> nil() bubble(.(x,.(y,z))) -> if(<=(x,y),.(y,bubble(.(x,z))),.(x,bubble(.(y,z)))) bubble(.(x,nil())) -> .(x,nil()) bubble(nil()) -> nil() butlast(.(x,.(y,z))) -> .(x,butlast(.(y,z))) butlast(.(x,nil())) -> nil() butlast(nil()) -> nil() last(.(x,.(y,z))) -> last(.(y,z)) last(.(x,nil())) -> x last(nil()) -> 0() - Signature: {bsort/1,bubble/1,butlast/1,last/1} / {./2,0/0,<=/2,if/3,nil/0} - Obligation: runtime complexity wrt. defined symbols {bsort,bubble,butlast,last} and constructors {.,0,<=,if,nil} + Applied Processor: DecreasingLoops {bound = AnyLoop, narrow = 10} + Details: The system has following decreasing Loops: bubble(.(x,z)){z -> .(y,z)} = bubble(.(x,.(y,z))) ->^+ if(<=(x,y),.(y,bubble(.(x,z))),.(x,bubble(.(y,z)))) = C[bubble(.(x,z)) = bubble(.(x,z)){}] WORST_CASE(Omega(n^1),?) popout

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

job log

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actions

all output return to Runti Compl Full Rewri 10127