details

property	value
status	complete
benchmark	2.45.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	SK90

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	0.799916 seconds
cpu usage	1.84573
user time	1.59291
system time	0.252819
max virtual memory	1760044.0
max residence set size	72092.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: admit(x,nil()) -> nil() admit(x,.(u,.(v,.(w(),z)))) -> cond(=(sum(x,u,v),w()),.(u,.(v,.(w(),admit(carry(x,u,v),z))))) cond(true(),y) -> y Proof: DP Processor: DPs: admit#(x,.(u,.(v,.(w(),z)))) -> admit#(carry(x,u,v),z) admit#(x,.(u,.(v,.(w(),z)))) -> cond#(=(sum(x,u,v),w()),.(u,.(v,.(w(),admit(carry(x,u,v),z))))) TRS: admit(x,nil()) -> nil() admit(x,.(u,.(v,.(w(),z)))) -> cond(=(sum(x,u,v),w()),.(u,.(v,.(w(),admit(carry(x,u,v),z))))) cond(true(),y) -> y TDG Processor: DPs: admit#(x,.(u,.(v,.(w(),z)))) -> admit#(carry(x,u,v),z) admit#(x,.(u,.(v,.(w(),z)))) -> cond#(=(sum(x,u,v),w()),.(u,.(v,.(w(),admit(carry(x,u,v),z))))) TRS: admit(x,nil()) -> nil() admit(x,.(u,.(v,.(w(),z)))) -> cond(=(sum(x,u,v),w()),.(u,.(v,.(w(),admit(carry(x,u,v),z))))) cond(true(),y) -> y graph: admit#(x,.(u,.(v,.(w(),z)))) -> admit#(carry(x,u,v),z) -> admit#(x,.(u,.(v,.(w(),z)))) -> cond#(=(sum(x,u,v),w()),.(u,.(v,.(w(),admit(carry(x,u,v),z))))) admit#(x,.(u,.(v,.(w(),z)))) -> admit#(carry(x,u,v),z) -> admit#(x,.(u,.(v,.(w(),z)))) -> admit#(carry(x,u,v),z) SCC Processor: #sccs: 1 #rules: 1 #arcs: 2/4 DPs: admit#(x,.(u,.(v,.(w(),z)))) -> admit#(carry(x,u,v),z) TRS: admit(x,nil()) -> nil() admit(x,.(u,.(v,.(w(),z)))) -> cond(=(sum(x,u,v),w()),.(u,.(v,.(w(),admit(carry(x,u,v),z))))) cond(true(),y) -> y Subterm Criterion Processor: simple projection: pi(admit#) = 1 problem: DPs: TRS: admit(x,nil()) -> nil() admit(x,.(u,.(v,.(w(),z)))) -> cond(=(sum(x,u,v),w()),.(u,.(v,.(w(),admit(carry(x,u,v),z))))) cond(true(),y) -> y Qed popout

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