details

property	value
status	complete
benchmark	LPAR_intlist.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	AProVE_04

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	0.644189 seconds
cpu usage	1.44795
user time	1.04174
system time	0.406212
max virtual memory	1939432.0
max residence set size	67584.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: intlist(nil()) -> nil() int(s(x),0()) -> nil() int(x,x) -> cons(x,nil()) intlist(cons(x,y)) -> cons(s(x),intlist(y)) int(s(x),s(y)) -> intlist(int(x,y)) int(0(),s(y)) -> cons(0(),int(s(0()),s(y))) intlist(cons(x,nil())) -> cons(s(x),nil()) Proof: Matrix Interpretation Processor: dim=1 interpretation: [int](x0, x1) = 2x0 + 2x1 + 4, [intlist](x0) = x0, [0] = 0, [cons](x0, x1) = 4x0 + x1, [nil] = 0, [s](x0) = x0 orientation: intlist(nil()) = 0 >= 0 = nil() int(s(x),0()) = 2x + 4 >= 0 = nil() int(x,x) = 4x + 4 >= 4x = cons(x,nil()) intlist(cons(x,y)) = 4x + y >= 4x + y = cons(s(x),intlist(y)) int(s(x),s(y)) = 2x + 2y + 4 >= 2x + 2y + 4 = intlist(int(x,y)) int(0(),s(y)) = 2y + 4 >= 2y + 4 = cons(0(),int(s(0()),s(y))) intlist(cons(x,nil())) = 4x >= 4x = cons(s(x),nil()) problem: intlist(nil()) -> nil() intlist(cons(x,y)) -> cons(s(x),intlist(y)) int(s(x),s(y)) -> intlist(int(x,y)) int(0(),s(y)) -> cons(0(),int(s(0()),s(y))) intlist(cons(x,nil())) -> cons(s(x),nil()) Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [1 1 0] [int](x0, x1) = [0 0 0]x0 + [0 0 0]x1 [0 0 0] [0 0 0] , [1 0 0] [intlist](x0) = [0 0 0]x0 [0 0 0] , [0] [0] = [0] [0], [1 0 0] [1 1 1] [cons](x0, x1) = [0 0 0]x0 + [0 0 0]x1 [0 0 0] [0 0 0] , [1] [nil] = [0] [0], [1 0 0] [0] [s](x0) = [0 1 0]x0 + [1] [0 0 0] [0] orientation: [1] [1] intlist(nil()) = [0] >= [0] = nil() [0] [0] [1 0 0] [1 1 1] [1 0 0] [1 0 0] intlist(cons(x,y)) = [0 0 0]x + [0 0 0]y >= [0 0 0]x + [0 0 0]y = cons(s(x),intlist(y)) [0 0 0] [0 0 0] [0 0 0] [0 0 0] [1 0 0] [1 1 0] [1] [1 0 0] [1 1 0] int(s(x),s(y)) = [0 0 0]x + [0 0 0]y + [0] >= [0 0 0]x + [0 0 0]y = intlist(int(x,y)) [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] [1 1 0] [1] [1 1 0] [1] int(0(),s(y)) = [0 0 0]y + [0] >= [0 0 0]y + [0] = cons(0(),int(s(0()),s(y))) [0 0 0] [0] [0 0 0] [0] [1 0 0] [1] [1 0 0] [1] intlist(cons(x,nil())) = [0 0 0]x + [0] >= [0 0 0]x + [0] = cons(s(x),nil()) [0 0 0] [0] [0 0 0] [0] problem: intlist(nil()) -> nil() intlist(cons(x,y)) -> cons(s(x),intlist(y)) int(0(),s(y)) -> cons(0(),int(s(0()),s(y))) intlist(cons(x,nil())) -> cons(s(x),nil()) Matrix Interpretation Processor: dim=3 interpretation: popout

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

job log

popout

actions

all output return to TRS Standard