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TRS Standard pair #516966064
details
property
value
status
complete
benchmark
logarithm.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n056.star.cs.uiowa.edu
space
Secret_06_TRS
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
77.935915947 seconds
cpu usage
310.099173271
max memory
1.596903424E9
stage attributes
key
value
output-size
28286
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: half(0()) -> 0() half(s(0())) -> 0() half(s(s(x))) -> s(half(x)) le(0(),y) -> true() le(s(x),0()) -> false() le(s(x),s(y)) -> le(x,y) inc(s(x)) -> s(inc(x)) inc(0()) -> s(0()) logarithm(x) -> logIter(x,0()) logIter(x,y) -> if(le(s(0()),x),le(s(s(0())),x),half(x),inc(y)) if(false(),b,x,y) -> logZeroError() if(true(),false(),x,s(y)) -> y if(true(),true(),x,y) -> logIter(x,y) f() -> g() f() -> h() Proof: DP Processor: DPs: half#(s(s(x))) -> half#(x) le#(s(x),s(y)) -> le#(x,y) inc#(s(x)) -> inc#(x) logarithm#(x) -> logIter#(x,0()) logIter#(x,y) -> inc#(y) logIter#(x,y) -> half#(x) logIter#(x,y) -> le#(s(s(0())),x) logIter#(x,y) -> le#(s(0()),x) logIter#(x,y) -> if#(le(s(0()),x),le(s(s(0())),x),half(x),inc(y)) if#(true(),true(),x,y) -> logIter#(x,y) TRS: half(0()) -> 0() half(s(0())) -> 0() half(s(s(x))) -> s(half(x)) le(0(),y) -> true() le(s(x),0()) -> false() le(s(x),s(y)) -> le(x,y) inc(s(x)) -> s(inc(x)) inc(0()) -> s(0()) logarithm(x) -> logIter(x,0()) logIter(x,y) -> if(le(s(0()),x),le(s(s(0())),x),half(x),inc(y)) if(false(),b,x,y) -> logZeroError() if(true(),false(),x,s(y)) -> y if(true(),true(),x,y) -> logIter(x,y) f() -> g() f() -> h() TDG Processor: DPs: half#(s(s(x))) -> half#(x) le#(s(x),s(y)) -> le#(x,y) inc#(s(x)) -> inc#(x) logarithm#(x) -> logIter#(x,0()) logIter#(x,y) -> inc#(y) logIter#(x,y) -> half#(x) logIter#(x,y) -> le#(s(s(0())),x) logIter#(x,y) -> le#(s(0()),x) logIter#(x,y) -> if#(le(s(0()),x),le(s(s(0())),x),half(x),inc(y)) if#(true(),true(),x,y) -> logIter#(x,y) TRS: half(0()) -> 0() half(s(0())) -> 0() half(s(s(x))) -> s(half(x)) le(0(),y) -> true() le(s(x),0()) -> false() le(s(x),s(y)) -> le(x,y) inc(s(x)) -> s(inc(x)) inc(0()) -> s(0()) logarithm(x) -> logIter(x,0()) logIter(x,y) -> if(le(s(0()),x),le(s(s(0())),x),half(x),inc(y)) if(false(),b,x,y) -> logZeroError() if(true(),false(),x,s(y)) -> y if(true(),true(),x,y) -> logIter(x,y) f() -> g() f() -> h() graph: if#(true(),true(),x,y) -> logIter#(x,y) -> logIter#(x,y) -> if#(le(s(0()),x),le(s(s(0())),x),half(x),inc(y)) if#(true(),true(),x,y) -> logIter#(x,y) -> logIter#(x,y) -> le#(s(0()),x) if#(true(),true(),x,y) -> logIter#(x,y) -> logIter#(x,y) -> le#(s(s(0())),x) if#(true(),true(),x,y) -> logIter#(x,y) -> logIter#(x,y) -> half#(x) if#(true(),true(),x,y) -> logIter#(x,y) -> logIter#(x,y) -> inc#(y) logIter#(x,y) -> if#(le(s(0()),x),le(s(s(0())),x),half(x),inc(y)) -> if#(true(),true(),x,y) -> logIter#(x,y) logIter#(x,y) -> inc#(y) -> inc#(s(x)) -> inc#(x) logIter#(x,y) -> le#(s(s(0())),x) -> le#(s(x),s(y)) -> le#(x,y) logIter#(x,y) -> le#(s(0()),x) -> le#(s(x),s(y)) -> le#(x,y) logIter#(x,y) -> half#(x) -> half#(s(s(x))) -> half#(x) logarithm#(x) -> logIter#(x,0()) ->
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