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Runti Compl Full Rewri 10127 pair #381902141
details
property
value
status
complete
benchmark
modulo.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n026.star.cs.uiowa.edu
space
AProVE_06
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_rc
runtime (wallclock)
295.478541136 seconds
cpu usage
481.379888007
max memory
3.958181888E9
stage attributes
key
value
output-size
2471
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: if_mod(false(),false(),x,y,z) -> x if_mod(false(),true(),x,y,z) -> mod(z,y) if_mod(true(),b,x,y,z) -> divByZeroError() isZero(0()) -> true() isZero(s(x)) -> false() le(0(),y) -> true() le(s(x),0()) -> false() le(s(x),s(y)) -> le(x,y) minus(x,x) -> 0() minus(x,0()) -> x minus(0(),x) -> 0() minus(s(x),s(y)) -> minus(x,y) mod(x,y) -> if_mod(isZero(y),le(y,x),x,y,minus(x,y)) - Signature: {if_mod/5,isZero/1,le/2,minus/2,mod/2} / {0/0,divByZeroError/0,false/0,s/1,true/0} - Obligation: runtime complexity wrt. defined symbols {if_mod,isZero,le,minus,mod} and constructors {0,divByZeroError ,false,s,true} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: () * Step 2: DecreasingLoops WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: if_mod(false(),false(),x,y,z) -> x if_mod(false(),true(),x,y,z) -> mod(z,y) if_mod(true(),b,x,y,z) -> divByZeroError() isZero(0()) -> true() isZero(s(x)) -> false() le(0(),y) -> true() le(s(x),0()) -> false() le(s(x),s(y)) -> le(x,y) minus(x,x) -> 0() minus(x,0()) -> x minus(0(),x) -> 0() minus(s(x),s(y)) -> minus(x,y) mod(x,y) -> if_mod(isZero(y),le(y,x),x,y,minus(x,y)) - Signature: {if_mod/5,isZero/1,le/2,minus/2,mod/2} / {0/0,divByZeroError/0,false/0,s/1,true/0} - Obligation: runtime complexity wrt. defined symbols {if_mod,isZero,le,minus,mod} and constructors {0,divByZeroError ,false,s,true} + Applied Processor: DecreasingLoops {bound = AnyLoop, narrow = 10} + Details: The system has following decreasing Loops: le(x,y){x -> s(x),y -> s(y)} = le(s(x),s(y)) ->^+ le(x,y) = C[le(x,y) = le(x,y){}] WORST_CASE(Omega(n^1),?)
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