details

property	value
status	complete
benchmark	#3.17.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	AG01

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	1.04833 seconds
cpu usage	3.05456
user time	2.44027
system time	0.614286
max virtual memory	1164780.0
max residence set size	71320.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: app(nil(),k) -> k app(l,nil()) -> l app(cons(x,l),k) -> cons(x,app(l,k)) sum(cons(x,nil())) -> cons(x,nil()) sum(cons(x,cons(y,l))) -> sum(cons(plus(x,y),l)) sum(app(l,cons(x,cons(y,k)))) -> sum(app(l,sum(cons(x,cons(y,k))))) plus(0(),y) -> y plus(s(x),y) -> s(plus(x,y)) Proof: Matrix Interpretation Processor: dim=1 interpretation: [plus](x0, x1) = x0 + x1, [app](x0, x1) = 2x0 + x1 + 1, [sum](x0) = x0, [0] = 2, [nil] = 0, [s](x0) = x0 + 4, [cons](x0, x1) = x0 + x1 orientation: app(nil(),k) = k + 1 >= k = k app(l,nil()) = 2l + 1 >= l = l app(cons(x,l),k) = k + 2l + 2x + 1 >= k + 2l + x + 1 = cons(x,app(l,k)) sum(cons(x,nil())) = x >= x = cons(x,nil()) sum(cons(x,cons(y,l))) = l + x + y >= l + x + y = sum(cons(plus(x,y),l)) sum(app(l,cons(x,cons(y,k)))) = k + 2l + x + y + 1 >= k + 2l + x + y + 1 = sum(app(l,sum(cons(x,cons(y,k))))) plus(0(),y) = y + 2 >= y = y plus(s(x),y) = x + y + 4 >= x + y + 4 = s(plus(x,y)) problem: app(cons(x,l),k) -> cons(x,app(l,k)) sum(cons(x,nil())) -> cons(x,nil()) sum(cons(x,cons(y,l))) -> sum(cons(plus(x,y),l)) sum(app(l,cons(x,cons(y,k)))) -> sum(app(l,sum(cons(x,cons(y,k))))) plus(s(x),y) -> s(plus(x,y)) Matrix Interpretation Processor: dim=1 interpretation: [plus](x0, x1) = x0 + x1, [app](x0, x1) = x0 + x1, [sum](x0) = x0, [nil] = 6, [s](x0) = x0, [cons](x0, x1) = 2x0 + x1 + 2 orientation: app(cons(x,l),k) = k + l + 2x + 2 >= k + l + 2x + 2 = cons(x,app(l,k)) sum(cons(x,nil())) = 2x + 8 >= 2x + 8 = cons(x,nil()) sum(cons(x,cons(y,l))) = l + 2x + 2y + 4 >= l + 2x + 2y + 2 = sum(cons(plus(x,y),l)) sum(app(l,cons(x,cons(y,k)))) = k + l + 2x + 2y + 4 >= k + l + 2x + 2y + 4 = sum(app(l,sum(cons(x,cons(y,k))))) plus(s(x),y) = x + y >= x + y = s(plus(x,y)) problem: app(cons(x,l),k) -> cons(x,app(l,k)) sum(cons(x,nil())) -> cons(x,nil()) sum(app(l,cons(x,cons(y,k)))) -> sum(app(l,sum(cons(x,cons(y,k))))) plus(s(x),y) -> s(plus(x,y)) Matrix Interpretation Processor: dim=1 interpretation: [plus](x0, x1) = 4x0 + 2x1 + 2, [app](x0, x1) = x0 + x1, [sum](x0) = x0, [nil] = 0, [s](x0) = x0 + 4, [cons](x0, x1) = 4x0 + x1 orientation: app(cons(x,l),k) = k + l + 4x >= k + l + 4x = cons(x,app(l,k)) sum(cons(x,nil())) = 4x >= 4x = cons(x,nil()) sum(app(l,cons(x,cons(y,k)))) = k + l + 4x + 4y >= k + l + 4x + 4y = sum(app(l,sum(cons(x,cons(y,k))))) popout

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job log

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actions

all output return to TRS Standard