details

property	value
status	complete
benchmark	gcd.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	AProVE_09_Inductive

run statistics

property	value
solver	tct 2018-07-13
configuration	tct_rci
runtime (wallclock)	208.608684063 seconds
cpu usage	802.548841055
max memory	2.022621184E9

stage attributes

key	value
output-size	2478
starexec-result	WORST_CASE(Omega(n^1),?)

output

/export/starexec/sandbox/solver/bin/starexec_run_tct_rci /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: gcd(x,y) -> if1(ge(x,y),x,y) ge(x,0()) -> true() ge(0(),s(x)) -> false() ge(s(x),s(y)) -> ge(x,y) gt(0(),y) -> false() gt(s(x),0()) -> true() gt(s(x),s(y)) -> gt(x,y) if(false(),x,y) -> 0() if(true(),x,y) -> s(minus(x,y)) if1(false(),x,y) -> gcd(y,x) if1(true(),x,y) -> if2(gt(y,0()),x,y) if2(false(),x,y) -> x if2(true(),x,y) -> gcd(minus(x,y),y) minus(s(x),y) -> if(gt(s(x),y),x,y) - Signature: {gcd/2,ge/2,gt/2,if/3,if1/3,if2/3,minus/2} / {0/0,false/0,s/1,true/0} - Obligation: innermost runtime complexity wrt. defined symbols {gcd,ge,gt,if,if1,if2,minus} and constructors {0,false,s ,true} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: () * Step 2: DecreasingLoops WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: gcd(x,y) -> if1(ge(x,y),x,y) ge(x,0()) -> true() ge(0(),s(x)) -> false() ge(s(x),s(y)) -> ge(x,y) gt(0(),y) -> false() gt(s(x),0()) -> true() gt(s(x),s(y)) -> gt(x,y) if(false(),x,y) -> 0() if(true(),x,y) -> s(minus(x,y)) if1(false(),x,y) -> gcd(y,x) if1(true(),x,y) -> if2(gt(y,0()),x,y) if2(false(),x,y) -> x if2(true(),x,y) -> gcd(minus(x,y),y) minus(s(x),y) -> if(gt(s(x),y),x,y) - Signature: {gcd/2,ge/2,gt/2,if/3,if1/3,if2/3,minus/2} / {0/0,false/0,s/1,true/0} - Obligation: innermost runtime complexity wrt. defined symbols {gcd,ge,gt,if,if1,if2,minus} and constructors {0,false,s ,true} + Applied Processor: DecreasingLoops {bound = AnyLoop, narrow = 10} + Details: The system has following decreasing Loops: ge(x,y){x -> s(x),y -> s(y)} = ge(s(x),s(y)) ->^+ ge(x,y) = C[ge(x,y) = ge(x,y){}] WORST_CASE(Omega(n^1),?) popout

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job log

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actions

all output return to Runti Compl Inner Rewri 22807