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TRS Standard pair #487067132
details
property
value
status
complete
benchmark
quadruple2.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n174.star.cs.uiowa.edu
space
Endrullis_06
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.477422 seconds
cpu usage
0.891877
user time
0.750919
system time
0.140958
max virtual memory
96176.0
max residence set size
61676.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: p(p(b(a(x0)),x1),p(x2,x3)) -> p(p(b(x2),a(a(b(x1)))),p(x3,x0)) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [0] [b](x0) = [0 0 0]x0 + [0] [0 0 1] [1], [1 0 0] [0] [a](x0) = [0 0 0]x0 + [0] [1 1 1] [1], [1 0 1] [1 1 0] [p](x0, x1) = [0 0 0]x0 + [0 0 1]x1 [0 0 0] [0 0 0] orientation: [2 1 1] [1 1 0] [1 0 1] [1 1 1] [2] [1 1 1] [1 0 0] [1 0 1] [1 0 1] [1] p(p(b(a(x0)),x1),p(x2,x3)) = [0 0 0]x0 + [0 0 0]x1 + [0 0 0]x2 + [0 0 0]x3 + [0] >= [0 0 0]x0 + [0 0 0]x1 + [0 0 0]x2 + [0 0 0]x3 + [0] = p(p(b(x2),a(a(b(x1)))),p(x3,x0)) [0 0 0] [0 0 0] [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] [0 0 0] [0 0 0] [0] problem: Qed
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