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TRS Standard pair #487071087
details
property
value
status
complete
benchmark
ExProp7_Luc06_Z.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n190.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.416713 seconds
cpu usage
0.627127
user time
0.461433
system time
0.165694
max virtual memory
96176.0
max residence set size
58868.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: f(0()) -> cons(0(),n__f(s(0()))) f(s(0())) -> f(p(s(0()))) p(s(X)) -> X f(X) -> n__f(X) activate(n__f(X)) -> f(X) activate(X) -> X Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [1 0 0] [cons](x0, x1) = [0 0 0]x0 + [0 0 0]x1 [0 0 0] [0 0 0] , [1 0 1] [0] [f](x0) = [0 0 0]x0 + [1] [0 0 1] [0], [1 0 0] [0] [n__f](x0) = [0 0 0]x0 + [1] [0 0 1] [0], [1 0 0] [p](x0) = [1 0 0]x0 [0 0 1] , [0] [0] = [0] [1], [1 0 1] [1] [activate](x0) = [1 1 0]x0 + [0] [0 1 1] [0], [1 1 0] [s](x0) = [0 0 0]x0 [0 0 1] orientation: [1] [0] f(0()) = [1] >= [0] = cons(0(),n__f(s(0()))) [1] [0] [1] [1] f(s(0())) = [1] >= [1] = f(p(s(0()))) [1] [1] [1 1 0] p(s(X)) = [1 1 0]X >= X = X [0 0 1] [1 0 1] [0] [1 0 0] [0] f(X) = [0 0 0]X + [1] >= [0 0 0]X + [1] = n__f(X) [0 0 1] [0] [0 0 1] [0] [1 0 1] [1] [1 0 1] [0] activate(n__f(X)) = [1 0 0]X + [1] >= [0 0 0]X + [1] = f(X) [0 0 1] [1] [0 0 1] [0] [1 0 1] [1] activate(X) = [1 1 0]X + [0] >= X = X [0 1 1] [0] problem: f(s(0())) -> f(p(s(0()))) p(s(X)) -> X f(X) -> n__f(X) Matrix Interpretation Processor: dim=3 interpretation: [1 0 1] [0] [f](x0) = [0 0 0]x0 + [1] [0 0 0] [0], [1 0 0] [n__f](x0) = [0 0 0]x0 [0 0 0] , [1 0 0] [p](x0) = [1 0 0]x0 [0 1 0] , [0] [0] = [0] [0], [1 1 0] [0] [s](x0) = [0 0 1]x0 + [0] [0 0 0] [1] orientation: [1] [0] f(s(0())) = [1] >= [1] = f(p(s(0()))) [0] [0] [1 1 0] p(s(X)) = [1 1 0]X >= X = X [0 0 1]
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