details

property	value
status	complete
benchmark	ternary.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n181.star.cs.uiowa.edu
space	CiME_04

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	2.8814 seconds
cpu usage	9.49677
user time	8.1495
system time	1.34727
max virtual memory	6631312.0
max residence set size	103752.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: 0(#()) -> #() +(#(),x) -> x +(x,#()) -> x +(0(x),0(y)) -> 0(+(x,y)) +(0(x),1(y)) -> 1(+(x,y)) +(1(x),0(y)) -> 1(+(x,y)) +(0(x),j(y)) -> j(+(x,y)) +(j(x),0(y)) -> j(+(x,y)) +(1(x),1(y)) -> j(+(+(x,y),1(#()))) +(j(x),j(y)) -> 1(+(+(x,y),j(#()))) +(1(x),j(y)) -> 0(+(x,y)) +(j(x),1(y)) -> 0(+(x,y)) +(+(x,y),z) -> +(x,+(y,z)) opp(#()) -> #() opp(0(x)) -> 0(opp(x)) opp(1(x)) -> j(opp(x)) opp(j(x)) -> 1(opp(x)) -(x,y) -> +(x,opp(y)) *(#(),x) -> #() *(0(x),y) -> 0(*(x,y)) *(1(x),y) -> +(0(*(x,y)),y) *(j(x),y) -> -(0(*(x,y)),y) *(*(x,y),z) -> *(x,*(y,z)) Proof: DP Processor: DPs: +#(0(x),0(y)) -> +#(x,y) +#(0(x),0(y)) -> 0#(+(x,y)) +#(0(x),1(y)) -> +#(x,y) +#(1(x),0(y)) -> +#(x,y) +#(0(x),j(y)) -> +#(x,y) +#(j(x),0(y)) -> +#(x,y) +#(1(x),1(y)) -> +#(x,y) +#(1(x),1(y)) -> +#(+(x,y),1(#())) +#(j(x),j(y)) -> +#(x,y) +#(j(x),j(y)) -> +#(+(x,y),j(#())) +#(1(x),j(y)) -> +#(x,y) +#(1(x),j(y)) -> 0#(+(x,y)) +#(j(x),1(y)) -> +#(x,y) +#(j(x),1(y)) -> 0#(+(x,y)) +#(+(x,y),z) -> +#(y,z) +#(+(x,y),z) -> +#(x,+(y,z)) opp#(0(x)) -> opp#(x) opp#(0(x)) -> 0#(opp(x)) opp#(1(x)) -> opp#(x) opp#(j(x)) -> opp#(x) -#(x,y) -> opp#(y) -#(x,y) -> +#(x,opp(y)) *#(0(x),y) -> *#(x,y) *#(0(x),y) -> 0#(*(x,y)) *#(1(x),y) -> *#(x,y) *#(1(x),y) -> 0#(*(x,y)) *#(1(x),y) -> +#(0(*(x,y)),y) *#(j(x),y) -> *#(x,y) *#(j(x),y) -> 0#(*(x,y)) *#(j(x),y) -> -#(0(*(x,y)),y) *#(*(x,y),z) -> *#(y,z) *#(*(x,y),z) -> *#(x,*(y,z)) TRS: 0(#()) -> #() +(#(),x) -> x +(x,#()) -> x +(0(x),0(y)) -> 0(+(x,y)) +(0(x),1(y)) -> 1(+(x,y)) +(1(x),0(y)) -> 1(+(x,y)) +(0(x),j(y)) -> j(+(x,y)) +(j(x),0(y)) -> j(+(x,y)) +(1(x),1(y)) -> j(+(+(x,y),1(#()))) +(j(x),j(y)) -> 1(+(+(x,y),j(#()))) +(1(x),j(y)) -> 0(+(x,y)) +(j(x),1(y)) -> 0(+(x,y)) +(+(x,y),z) -> +(x,+(y,z)) opp(#()) -> #() opp(0(x)) -> 0(opp(x)) opp(1(x)) -> j(opp(x)) opp(j(x)) -> 1(opp(x)) -(x,y) -> +(x,opp(y)) *(#(),x) -> #() *(0(x),y) -> 0(*(x,y)) *(1(x),y) -> +(0(*(x,y)),y) *(j(x),y) -> -(0(*(x,y)),y) *(*(x,y),z) -> *(x,*(y,z)) TDG Processor: DPs: +#(0(x),0(y)) -> +#(x,y) +#(0(x),0(y)) -> 0#(+(x,y)) +#(0(x),1(y)) -> +#(x,y) +#(1(x),0(y)) -> +#(x,y) +#(0(x),j(y)) -> +#(x,y) +#(j(x),0(y)) -> +#(x,y) +#(1(x),1(y)) -> +#(x,y) +#(1(x),1(y)) -> +#(+(x,y),1(#())) +#(j(x),j(y)) -> +#(x,y) +#(j(x),j(y)) -> +#(+(x,y),j(#())) +#(1(x),j(y)) -> +#(x,y) +#(1(x),j(y)) -> 0#(+(x,y)) popout

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

job log

popout

actions

all output return to TRS Standard