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	n178.star.cs.uiowa.edu
space	Secret_06_TRS

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	78.2961 seconds
cpu usage	306.05
user time	301.423
system time	4.62647
max virtual memory	5830224.0
max residence set size	390272.0

stage attributes

key	value
starexec-result	YES

output

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()) -> logIter#(x,y) -> if#(le(s(0()),x),le(s(s(0())),x),half(x),inc(y)) logarithm#(x) -> logIter#(x,0()) -> logIter#(x,y) -> le#(s(0()),x) logarithm#(x) -> logIter#(x,0()) -> logIter#(x,y) -> le#(s(s(0())),x) logarithm#(x) -> logIter#(x,0()) -> logIter#(x,y) -> half#(x) popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to TRS Standard