details

property	value
status	complete
benchmark	t003.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n190.star.cs.uiowa.edu
space	HirokawaMiddeldorp_04

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	0.943389 seconds
cpu usage	2.52416
user time	1.91895
system time	0.60521
max virtual memory	1656956.0
max residence set size	72032.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: -(x,0()) -> x -(s(x),s(y)) -> -(x,y) <=(0(),y) -> true() <=(s(x),0()) -> false() <=(s(x),s(y)) -> <=(x,y) if(true(),x,y) -> x if(false(),x,y) -> y perfectp(0()) -> false() perfectp(s(x)) -> f(x,s(0()),s(x),s(x)) f(0(),y,0(),u) -> true() f(0(),y,s(z),u) -> false() f(s(x),0(),z,u) -> f(x,u,-(z,s(x)),u) f(s(x),s(y),z,u) -> if(<=(x,y),f(s(x),-(y,x),z,u),f(x,u,z,u)) Proof: DP Processor: DPs: -#(s(x),s(y)) -> -#(x,y) <=#(s(x),s(y)) -> <=#(x,y) perfectp#(s(x)) -> f#(x,s(0()),s(x),s(x)) f#(s(x),0(),z,u) -> -#(z,s(x)) f#(s(x),0(),z,u) -> f#(x,u,-(z,s(x)),u) f#(s(x),s(y),z,u) -> f#(x,u,z,u) f#(s(x),s(y),z,u) -> -#(y,x) f#(s(x),s(y),z,u) -> f#(s(x),-(y,x),z,u) f#(s(x),s(y),z,u) -> <=#(x,y) f#(s(x),s(y),z,u) -> if#(<=(x,y),f(s(x),-(y,x),z,u),f(x,u,z,u)) TRS: -(x,0()) -> x -(s(x),s(y)) -> -(x,y) <=(0(),y) -> true() <=(s(x),0()) -> false() <=(s(x),s(y)) -> <=(x,y) if(true(),x,y) -> x if(false(),x,y) -> y perfectp(0()) -> false() perfectp(s(x)) -> f(x,s(0()),s(x),s(x)) f(0(),y,0(),u) -> true() f(0(),y,s(z),u) -> false() f(s(x),0(),z,u) -> f(x,u,-(z,s(x)),u) f(s(x),s(y),z,u) -> if(<=(x,y),f(s(x),-(y,x),z,u),f(x,u,z,u)) TDG Processor: DPs: -#(s(x),s(y)) -> -#(x,y) <=#(s(x),s(y)) -> <=#(x,y) perfectp#(s(x)) -> f#(x,s(0()),s(x),s(x)) f#(s(x),0(),z,u) -> -#(z,s(x)) f#(s(x),0(),z,u) -> f#(x,u,-(z,s(x)),u) f#(s(x),s(y),z,u) -> f#(x,u,z,u) f#(s(x),s(y),z,u) -> -#(y,x) f#(s(x),s(y),z,u) -> f#(s(x),-(y,x),z,u) f#(s(x),s(y),z,u) -> <=#(x,y) f#(s(x),s(y),z,u) -> if#(<=(x,y),f(s(x),-(y,x),z,u),f(x,u,z,u)) TRS: -(x,0()) -> x -(s(x),s(y)) -> -(x,y) <=(0(),y) -> true() <=(s(x),0()) -> false() <=(s(x),s(y)) -> <=(x,y) if(true(),x,y) -> x if(false(),x,y) -> y perfectp(0()) -> false() perfectp(s(x)) -> f(x,s(0()),s(x),s(x)) f(0(),y,0(),u) -> true() f(0(),y,s(z),u) -> false() f(s(x),0(),z,u) -> f(x,u,-(z,s(x)),u) f(s(x),s(y),z,u) -> if(<=(x,y),f(s(x),-(y,x),z,u),f(x,u,z,u)) graph: f#(s(x),s(y),z,u) -> f#(s(x),-(y,x),z,u) -> f#(s(x),s(y),z,u) -> if#(<=(x,y),f(s(x),-(y,x),z,u),f(x,u,z,u)) f#(s(x),s(y),z,u) -> f#(s(x),-(y,x),z,u) -> f#(s(x),s(y),z,u) -> <=#(x,y) f#(s(x),s(y),z,u) -> f#(s(x),-(y,x),z,u) -> f#(s(x),s(y),z,u) -> f#(s(x),-(y,x),z,u) f#(s(x),s(y),z,u) -> f#(s(x),-(y,x),z,u) -> f#(s(x),s(y),z,u) -> -#(y,x) f#(s(x),s(y),z,u) -> f#(s(x),-(y,x),z,u) -> f#(s(x),s(y),z,u) -> f#(x,u,z,u) f#(s(x),s(y),z,u) -> f#(s(x),-(y,x),z,u) -> f#(s(x),0(),z,u) -> f#(x,u,-(z,s(x)),u) f#(s(x),s(y),z,u) -> f#(s(x),-(y,x),z,u) -> f#(s(x),0(),z,u) -> -#(z,s(x)) f#(s(x),s(y),z,u) -> f#(x,u,z,u) -> f#(s(x),s(y),z,u) -> if#(<=(x,y),f(s(x),-(y,x),z,u),f(x,u,z,u)) f#(s(x),s(y),z,u) -> f#(x,u,z,u) -> f#(s(x),s(y),z,u) -> <=#(x,y) f#(s(x),s(y),z,u) -> f#(x,u,z,u) -> f#(s(x),s(y),z,u) -> f#(s(x),-(y,x),z,u) f#(s(x),s(y),z,u) -> f#(x,u,z,u) -> f#(s(x),s(y),z,u) -> -#(y,x) f#(s(x),s(y),z,u) -> f#(x,u,z,u) -> f#(s(x),s(y),z,u) -> f#(x,u,z,u) f#(s(x),s(y),z,u) -> f#(x,u,z,u) -> f#(s(x),0(),z,u) -> f#(x,u,-(z,s(x)),u) f#(s(x),s(y),z,u) -> f#(x,u,z,u) -> f#(s(x),0(),z,u) -> -#(z,s(x)) f#(s(x),s(y),z,u) -> <=#(x,y) -> <=#(s(x),s(y)) -> <=#(x,y) f#(s(x),s(y),z,u) -> -#(y,x) -> -#(s(x),s(y)) -> -#(x,y) popout

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

job log

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actions

all output return to TRS Standard