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TRS Standard pair #487068972
details
property
value
status
complete
benchmark
identity.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n189.star.cs.uiowa.edu
space
AProVE_06
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
14.9018 seconds
cpu usage
57.1423
user time
55.0184
system time
2.12389
max virtual memory
5978360.0
max residence set size
180652.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: g(x,0()) -> 0() g(d(),s(x)) -> s(s(g(d(),x))) g(h(),s(0())) -> 0() g(h(),s(s(x))) -> s(g(h(),x)) double(x) -> g(d(),x) half(x) -> g(h(),x) f(s(x),y) -> f(half(s(x)),double(y)) f(s(0()),y) -> y id(x) -> f(x,s(0())) Proof: Matrix Interpretation Processor: dim=3 interpretation: [0] [h] = [0] [0], [1 0 0] [1] [id](x0) = [1 1 1]x0 + [0] [0 0 1] [1], [1 0 0] [1 0 0] [g](x0, x1) = [0 0 0]x0 + [0 0 0]x1 [0 0 0] [0 0 0] , [1 0 0] [s](x0) = [0 0 0]x0 [0 0 0] , [1 0 0] [double](x0) = [0 1 1]x0 [0 0 0] , [0] [0] = [0] [0], [1 0 0] [1 0 0] [1] [f](x0, x1) = [0 0 0]x0 + [1 1 1]x1 + [0] [0 0 0] [0 1 1] [1], [1 1 0] [half](x0) = [0 1 0]x0 [1 0 0] , [0] [d] = [0] [0] orientation: [1 0 0] [0] g(x,0()) = [0 0 0]x >= [0] = 0() [0 0 0] [0] [1 0 0] [1 0 0] g(d(),s(x)) = [0 0 0]x >= [0 0 0]x = s(s(g(d(),x))) [0 0 0] [0 0 0] [0] [0] g(h(),s(0())) = [0] >= [0] = 0() [0] [0] [1 0 0] [1 0 0] g(h(),s(s(x))) = [0 0 0]x >= [0 0 0]x = s(g(h(),x)) [0 0 0] [0 0 0] [1 0 0] [1 0 0] double(x) = [0 1 1]x >= [0 0 0]x = g(d(),x) [0 0 0] [0 0 0] [1 1 0] [1 0 0] half(x) = [0 1 0]x >= [0 0 0]x = g(h(),x) [1 0 0] [0 0 0] [1 0 0] [1 0 0] [1] [1 0 0] [1 0 0] [1] f(s(x),y) = [0 0 0]x + [1 1 1]y + [0] >= [0 0 0]x + [1 1 1]y + [0] = f(half(s(x)),double(y)) [0 0 0] [0 1 1] [1] [0 0 0] [0 1 1] [1] [1 0 0] [1] f(s(0()),y) = [1 1 1]y + [0] >= y = y [0 1 1] [1] [1 0 0] [1] [1 0 0] [1] id(x) = [1 1 1]x + [0] >= [0 0 0]x + [0] = f(x,s(0())) [0 0 1] [1] [0 0 0] [1] problem: g(x,0()) -> 0() g(d(),s(x)) -> s(s(g(d(),x))) g(h(),s(0())) -> 0() g(h(),s(s(x))) -> s(g(h(),x)) double(x) -> g(d(),x) half(x) -> g(h(),x) f(s(x),y) -> f(half(s(x)),double(y)) id(x) -> f(x,s(0())) Matrix Interpretation Processor: dim=3 interpretation:
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