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TRS Standard pair #487069247
details
property
value
status
complete
benchmark
test829.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n181.star.cs.uiowa.edu
space
Rubio_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.428817 seconds
cpu usage
0.675535
user time
0.492372
system time
0.183163
max virtual memory
96176.0
max residence set size
58344.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: f(c(X,s(Y))) -> f(c(s(X),Y)) g(c(s(X),Y)) -> f(c(X,s(Y))) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [1 0 1] [c](x0, x1) = [0 0 0]x0 + [0 0 0]x1 [0 0 0] [0 1 0] , [1 0 0] [1] [g](x0) = [0 0 0]x0 + [0] [0 0 0] [0], [1 0 0] [0] [s](x0) = [0 0 1]x0 + [0] [0 0 1] [1], [1 0 0] [f](x0) = [0 0 0]x0 [0 0 0] orientation: [1 0 0] [1 0 1] [1] [1 0 0] [1 0 1] f(c(X,s(Y))) = [0 0 0]X + [0 0 0]Y + [0] >= [0 0 0]X + [0 0 0]Y = f(c(s(X),Y)) [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] [1 0 0] [1 0 1] [1] [1 0 0] [1 0 1] [1] g(c(s(X),Y)) = [0 0 0]X + [0 0 0]Y + [0] >= [0 0 0]X + [0 0 0]Y + [0] = f(c(X,s(Y))) [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] [0] problem: g(c(s(X),Y)) -> f(c(X,s(Y))) Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [1 0 0] [c](x0, x1) = [0 0 0]x0 + [0 0 0]x1 [0 0 0] [0 0 0] , [1 0 0] [1] [g](x0) = [0 0 0]x0 + [0] [0 0 0] [0], [1 0 0] [s](x0) = [0 0 0]x0 [0 0 0] , [1 0 0] [f](x0) = [0 0 0]x0 [0 0 0] orientation: [1 0 0] [1 0 0] [1] [1 0 0] [1 0 0] g(c(s(X),Y)) = [0 0 0]X + [0 0 0]Y + [0] >= [0 0 0]X + [0 0 0]Y = f(c(X,s(Y))) [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] problem: Qed
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