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Runti Compl Full Rewri 10127 pair #381903099
details
property
value
status
complete
benchmark
wiehe06.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n033.star.cs.uiowa.edu
space
AProVE_07
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_rc
runtime (wallclock)
295.453860998 seconds
cpu usage
731.451355515
max memory
3.162365952E9
stage attributes
key
value
output-size
2605
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: 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 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 times(x,0()) -> 0() times(x,1()) -> x times(x,plus(y,1())) -> plus(times(x,plus(y,times(1(),0()))),x) - Signature: {gt/2,id/1,if/3,not/1,plus/2,times/2} / {0/0,1/0,false/0,s/1,true/0,zero/0} - Obligation: runtime complexity wrt. defined symbols {gt,id,if,not,plus,times} and constructors {0,1,false,s,true,zero} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: () * Step 2: DecreasingLoops WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: 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 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 times(x,0()) -> 0() times(x,1()) -> x times(x,plus(y,1())) -> plus(times(x,plus(y,times(1(),0()))),x) - Signature: {gt/2,id/1,if/3,not/1,plus/2,times/2} / {0/0,1/0,false/0,s/1,true/0,zero/0} - Obligation: runtime complexity wrt. defined symbols {gt,id,if,not,plus,times} and constructors {0,1,false,s,true,zero} + Applied Processor: DecreasingLoops {bound = AnyLoop, narrow = 10} + Details: The system has following decreasing Loops: gt(x,y){x -> s(x),y -> s(y)} = gt(s(x),s(y)) ->^+ gt(x,y) = C[gt(x,y) = gt(x,y){}] WORST_CASE(Omega(n^1),?)
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