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Runti Compl Full Rewri 10127 pair #381903172
details
property
value
status
complete
benchmark
wiehe05.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n077.star.cs.uiowa.edu
space
AProVE_07
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_rc
runtime (wallclock)
295.424365997 seconds
cpu usage
740.841566762
max memory
3.106668544E9
stage attributes
key
value
output-size
2677
starexec-result
WORST_CASE(Omega(n^1),?)
output
/export/starexec/sandbox2/solver/bin/starexec_run_tct_rc /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^1),?) * Step 1: Sum WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: double(0()) -> 0() double(s(x)) -> s(s(double(x))) gt(s(x),s(y)) -> gt(x,y) gt(s(x),zero()) -> true() gt(zero(),y) -> false() id(x) -> x if(false(),x,y) -> y if(true(),x,y) -> x minus(x,0()) -> x minus(s(x),s(y)) -> minus(x,y) not(x) -> if(x,false(),true()) plus(id(x),s(y)) -> s(plus(x,if(gt(s(y),y),y,s(y)))) plus(s(x),x) -> plus(if(gt(x,x),id(x),id(x)),s(x)) plus(s(x),s(y)) -> s(s(plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))))) plus(zero(),y) -> y - Signature: {double/1,gt/2,id/1,if/3,minus/2,not/1,plus/2} / {0/0,false/0,s/1,true/0,zero/0} - Obligation: runtime complexity wrt. defined symbols {double,gt,id,if,minus,not,plus} and constructors {0,false,s,true ,zero} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: () * Step 2: DecreasingLoops WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: double(0()) -> 0() double(s(x)) -> s(s(double(x))) gt(s(x),s(y)) -> gt(x,y) gt(s(x),zero()) -> true() gt(zero(),y) -> false() id(x) -> x if(false(),x,y) -> y if(true(),x,y) -> x minus(x,0()) -> x minus(s(x),s(y)) -> minus(x,y) not(x) -> if(x,false(),true()) plus(id(x),s(y)) -> s(plus(x,if(gt(s(y),y),y,s(y)))) plus(s(x),x) -> plus(if(gt(x,x),id(x),id(x)),s(x)) plus(s(x),s(y)) -> s(s(plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))))) plus(zero(),y) -> y - Signature: {double/1,gt/2,id/1,if/3,minus/2,not/1,plus/2} / {0/0,false/0,s/1,true/0,zero/0} - Obligation: runtime complexity wrt. defined symbols {double,gt,id,if,minus,not,plus} and constructors {0,false,s,true ,zero} + Applied Processor: DecreasingLoops {bound = AnyLoop, narrow = 10} + Details: The system has following decreasing Loops: double(x){x -> s(x)} = double(s(x)) ->^+ s(s(double(x))) = C[double(x) = double(x){}] WORST_CASE(Omega(n^1),?)
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