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TRS Standard pair #487068827
details
property
value
status
complete
benchmark
Liveness6.2.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n186.star.cs.uiowa.edu
space
AProVE_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.625308 seconds
cpu usage
1.41684
user time
1.086
system time
0.330846
max virtual memory
1164264.0
max residence set size
68032.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: top(sent(x)) -> top(check(rest(x))) rest(nil()) -> sent(nil()) rest(cons(x,y)) -> sent(y) check(sent(x)) -> sent(check(x)) check(rest(x)) -> rest(check(x)) check(cons(x,y)) -> cons(check(x),y) check(cons(x,y)) -> cons(x,check(y)) check(cons(x,y)) -> cons(x,y) Proof: Matrix Interpretation Processor: dim=1 interpretation: [nil] = 0, [top](x0) = 4x0 + 2, [check](x0) = x0, [cons](x0, x1) = x0 + 2x1 + 2, [sent](x0) = 2x0 + 4, [rest](x0) = 2x0 + 4 orientation: top(sent(x)) = 8x + 18 >= 8x + 18 = top(check(rest(x))) rest(nil()) = 4 >= 4 = sent(nil()) rest(cons(x,y)) = 2x + 4y + 8 >= 2y + 4 = sent(y) check(sent(x)) = 2x + 4 >= 2x + 4 = sent(check(x)) check(rest(x)) = 2x + 4 >= 2x + 4 = rest(check(x)) check(cons(x,y)) = x + 2y + 2 >= x + 2y + 2 = cons(check(x),y) check(cons(x,y)) = x + 2y + 2 >= x + 2y + 2 = cons(x,check(y)) check(cons(x,y)) = x + 2y + 2 >= x + 2y + 2 = cons(x,y) problem: top(sent(x)) -> top(check(rest(x))) rest(nil()) -> sent(nil()) check(sent(x)) -> sent(check(x)) check(rest(x)) -> rest(check(x)) check(cons(x,y)) -> cons(check(x),y) check(cons(x,y)) -> cons(x,check(y)) check(cons(x,y)) -> cons(x,y) Matrix Interpretation Processor: dim=3 interpretation: [0] [nil] = [1] [1], [1 1 1] [top](x0) = [0 0 0]x0 [0 0 0] , [1 0 0] [check](x0) = [0 1 0]x0 [0 0 0] , [1 1 0] [1 1 0] [cons](x0, x1) = [0 1 0]x0 + [0 0 1]x1 [0 0 0] [0 0 0] , [1 1 0] [0] [sent](x0) = [0 0 0]x0 + [1] [0 0 1] [0], [1 1 0] [rest](x0) = [0 0 1]x0 [0 0 1] orientation: [1 1 1] [1] [1 1 1] top(sent(x)) = [0 0 0]x + [0] >= [0 0 0]x = top(check(rest(x))) [0 0 0] [0] [0 0 0] [1] [1] rest(nil()) = [1] >= [1] = sent(nil()) [1] [1] [1 1 0] [0] [1 1 0] [0] check(sent(x)) = [0 0 0]x + [1] >= [0 0 0]x + [1] = sent(check(x)) [0 0 0] [0] [0 0 0] [0] [1 1 0] [1 1 0] check(rest(x)) = [0 0 1]x >= [0 0 0]x = rest(check(x)) [0 0 0] [0 0 0] [1 1 0] [1 1 0] [1 1 0] [1 1 0] check(cons(x,y)) = [0 1 0]x + [0 0 1]y >= [0 1 0]x + [0 0 1]y = cons(check(x),y) [0 0 0] [0 0 0] [0 0 0] [0 0 0] [1 1 0] [1 1 0] [1 1 0] [1 1 0] check(cons(x,y)) = [0 1 0]x + [0 0 1]y >= [0 1 0]x + [0 0 0]y = cons(x,check(y))
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