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TRS Standard pair #487068812
details
property
value
status
complete
benchmark
Liveness8.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
AProVE_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
1.19376 seconds
cpu usage
3.54615
user time
2.81223
system time
0.733921
max virtual memory
1958784.0
max residence set size
79280.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: active(f(x)) -> mark(x) top(active(c())) -> top(mark(c())) top(mark(x)) -> top(check(x)) check(f(x)) -> f(check(x)) check(x) -> start(match(f(X()),x)) match(f(x),f(y)) -> f(match(x,y)) match(X(),x) -> proper(x) proper(c()) -> ok(c()) proper(f(x)) -> f(proper(x)) f(ok(x)) -> ok(f(x)) start(ok(x)) -> found(x) f(found(x)) -> found(f(x)) top(found(x)) -> top(active(x)) active(f(x)) -> f(active(x)) f(mark(x)) -> mark(f(x)) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 0 1] [0] [top](x0) = [0 0 0]x0 + [0] [0 0 0] [1], [1 0 1] [start](x0) = [1 0 1]x0 [0 0 0] , [1 0 0] [0] [active](x0) = [1 0 0]x0 + [1] [0 0 1] [0], [0] [c] = [0] [1], [1 0 0] [check](x0) = [1 0 0]x0 [0 0 0] , [1 0 0] [ok](x0) = [0 0 0]x0 [0 0 1] , [1 0 0] [f](x0) = [0 0 0]x0 [0 0 0] , [1 0 0] [1 0 0] [0] [match](x0, x1) = [0 0 0]x0 + [0 0 0]x1 + [1] [0 0 1] [0 0 0] [0], [1 0 1] [found](x0) = [0 0 1]x0 [0 0 0] , [1 0 0] [0] [proper](x0) = [0 0 0]x0 + [0] [0 0 0] [1], [0] [X] = [0] [1], [1 0 0] [mark](x0) = [0 0 0]x0 [0 0 0] orientation: [1 0 0] [0] [1 0 0] active(f(x)) = [1 0 0]x + [1] >= [0 0 0]x = mark(x) [0 0 0] [0] [0 0 0] [1] [0] top(active(c())) = [0] >= [0] = top(mark(c())) [1] [1] [1 0 0] [0] [1 0 0] [0] top(mark(x)) = [0 0 0]x + [0] >= [0 0 0]x + [0] = top(check(x)) [0 0 0] [1] [0 0 0] [1] [1 0 0] [1 0 0] check(f(x)) = [1 0 0]x >= [0 0 0]x = f(check(x)) [0 0 0] [0 0 0] [1 0 0] [1 0 0] check(x) = [1 0 0]x >= [1 0 0]x = start(match(f(X()),x)) [0 0 0] [0 0 0] [1 0 0] [1 0 0] [0] [1 0 0] [1 0 0] match(f(x),f(y)) = [0 0 0]x + [0 0 0]y + [1] >= [0 0 0]x + [0 0 0]y = f(match(x,y)) [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] [1 0 0] [0] [1 0 0] [0] match(X(),x) = [0 0 0]x + [1] >= [0 0 0]x + [0] = proper(x) [0 0 0] [1] [0 0 0] [1] [0] [0]
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