details

property	value
status	complete
benchmark	jw28.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n191.star.cs.uiowa.edu
space	Zantema_05

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	0.378273 seconds
cpu usage	0.503074
user time	0.381616
system time	0.121458
max virtual memory	96176.0
max residence set size	56908.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: f(f(a(),x),a()) -> f(a(),f(f(a(),f(a(),a())),x)) Proof: Extended Uncurrying Processor: application symbol: f symbol table: a ==> a0/0 a1/1 a2/2 uncurry-rules: f(a1(x1),x2) -> a2(x1,x2) f(a0(),x1) -> a1(x1) eta-rules: problem: a2(x,a0()) -> a1(a2(a1(a0()),x)) f(a1(x1),x2) -> a2(x1,x2) f(a0(),x1) -> a1(x1) Matrix Interpretation Processor: dim=3 interpretation: [1 0 1] [1 0 1] [a2](x0, x1) = [0 0 0]x0 + [0 0 0]x1 [0 0 0] [0 0 0] , [1 1 0] [1 0 1] [f](x0, x1) = [0 0 0]x0 + [0 0 1]x1 [0 0 0] [0 0 0] , [1 0 0] [a1](x0) = [0 0 1]x0 [0 0 0] , [0] [a0] = [0] [1] orientation: [1 0 1] [1] [1 0 1] a2(x,a0()) = [0 0 0]x + [0] >= [0 0 0]x = a1(a2(a1(a0()),x)) [0 0 0] [0] [0 0 0] [1 0 1] [1 0 1] [1 0 1] [1 0 1] f(a1(x1),x2) = [0 0 0]x1 + [0 0 1]x2 >= [0 0 0]x1 + [0 0 0]x2 = a2(x1,x2) [0 0 0] [0 0 0] [0 0 0] [0 0 0] [1 0 1] [1 0 0] f(a0(),x1) = [0 0 1]x1 >= [0 0 1]x1 = a1(x1) [0 0 0] [0 0 0] problem: f(a1(x1),x2) -> a2(x1,x2) f(a0(),x1) -> a1(x1) Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [1 0 0] [a2](x0, x1) = [0 0 0]x0 + [0 0 0]x1 [0 0 0] [0 0 0] , [1 0 0] [1 0 0] [1] [f](x0, x1) = [0 0 0]x0 + [0 0 0]x1 + [0] [0 0 0] [0 0 0] [0], [1 0 0] [a1](x0) = [0 0 0]x0 [0 0 0] , [0] [a0] = [0] [0] orientation: [1 0 0] [1 0 0] [1] [1 0 0] [1 0 0] f(a1(x1),x2) = [0 0 0]x1 + [0 0 0]x2 + [0] >= [0 0 0]x1 + [0 0 0]x2 = a2(x1,x2) [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] [1 0 0] [1] [1 0 0] f(a0(),x1) = [0 0 0]x1 + [0] >= [0 0 0]x1 = a1(x1) [0 0 0] [0] [0 0 0] problem: Qed popout

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