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TRS Standard pair #487068657
details
property
value
status
complete
benchmark
z29.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n183.star.cs.uiowa.edu
space
Zantema_05
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.555841 seconds
cpu usage
1.15789
user time
0.852061
system time
0.305825
max virtual memory
96176.0
max residence set size
68232.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(lambda(x),y) -> lambda(a(x,1())) a(lambda(x),y) -> lambda(a(x,a(y,t()))) a(a(x,y),z) -> a(x,a(y,z)) lambda(x) -> x a(x,y) -> x a(x,y) -> y Proof: Matrix Interpretation Processor: dim=3 interpretation: [a](x0, x1) = x0 + x1 , [0] [t] = [0] [0], [1] [lambda](x0) = x0 + [0] [0], [0] [1] = [0] [0] orientation: [1] [1] a(lambda(x),y) = x + y + [0] >= x + [0] = lambda(a(x,1())) [0] [0] [1] [1] a(lambda(x),y) = x + y + [0] >= x + y + [0] = lambda(a(x,a(y,t()))) [0] [0] a(a(x,y),z) = x + y + z >= x + y + z = a(x,a(y,z)) [1] lambda(x) = x + [0] >= x = x [0] a(x,y) = x + y >= x = x a(x,y) = x + y >= y = y problem: a(lambda(x),y) -> lambda(a(x,1())) a(lambda(x),y) -> lambda(a(x,a(y,t()))) a(a(x,y),z) -> a(x,a(y,z)) a(x,y) -> x a(x,y) -> y WPO Processor: algebra: Sum weight function: w0 = 0 w(lambda) = 1 w(t) = w(1) = w(a) = 0 status function: st(t) = st(1) = [] st(a) = [0, 1] st(lambda) = [0] precedence: a > t ~ 1 ~ lambda problem: Qed
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