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TRS Standard pair #487070637
details
property
value
status
complete
benchmark
ExProp7_Luc06_GM.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
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.677769 seconds
cpu usage
1.60006
user time
1.21505
system time
0.385009
max virtual memory
1941176.0
max residence set size
68444.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a__f(0()) -> cons(0(),f(s(0()))) a__f(s(0())) -> a__f(a__p(s(0()))) a__p(s(X)) -> mark(X) mark(f(X)) -> a__f(mark(X)) mark(p(X)) -> a__p(mark(X)) mark(0()) -> 0() mark(cons(X1,X2)) -> cons(mark(X1),X2) mark(s(X)) -> s(mark(X)) a__f(X) -> f(X) a__p(X) -> p(X) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 1 0] [1 0 0] [cons](x0, x1) = [0 0 1]x0 + [0 0 0]x1 [0 1 0] [0 0 0] , [1] [a__f](x0) = x0 + [1] [1], [0] [f](x0) = x0 + [1] [1], [1 1 0] [a__p](x0) = [0 0 1]x0 [0 1 0] , [0] [0] = [0] [0], [1 1 0] [p](x0) = [0 0 1]x0 [0 1 0] , [1 1 0] [mark](x0) = [0 0 1]x0 [0 1 0] , [1 0 0] [s](x0) = [0 1 1]x0 [0 1 1] orientation: [1] [0] a__f(0()) = [1] >= [0] = cons(0(),f(s(0()))) [1] [0] [1] [1] a__f(s(0())) = [1] >= [1] = a__f(a__p(s(0()))) [1] [1] [1 1 1] [1 1 0] a__p(s(X)) = [0 1 1]X >= [0 0 1]X = mark(X) [0 1 1] [0 1 0] [1 1 0] [1] [1 1 0] [1] mark(f(X)) = [0 0 1]X + [1] >= [0 0 1]X + [1] = a__f(mark(X)) [0 1 0] [1] [0 1 0] [1] [1 1 1] [1 1 1] mark(p(X)) = [0 1 0]X >= [0 1 0]X = a__p(mark(X)) [0 0 1] [0 0 1] [0] [0] mark(0()) = [0] >= [0] = 0() [0] [0] [1 1 1] [1 0 0] [1 1 1] [1 0 0] mark(cons(X1,X2)) = [0 1 0]X1 + [0 0 0]X2 >= [0 1 0]X1 + [0 0 0]X2 = cons(mark(X1),X2) [0 0 1] [0 0 0] [0 0 1] [0 0 0] [1 1 1] [1 1 0] mark(s(X)) = [0 1 1]X >= [0 1 1]X = s(mark(X)) [0 1 1] [0 1 1] [1] [0] a__f(X) = X + [1] >= X + [1] = f(X) [1] [1] [1 1 0] [1 1 0] a__p(X) = [0 0 1]X >= [0 0 1]X = p(X) [0 1 0] [0 1 0] problem: a__f(s(0())) -> a__f(a__p(s(0()))) a__p(s(X)) -> mark(X) mark(f(X)) -> a__f(mark(X)) mark(p(X)) -> a__p(mark(X)) mark(0()) -> 0() mark(cons(X1,X2)) -> cons(mark(X1),X2) mark(s(X)) -> s(mark(X)) a__p(X) -> p(X) Matrix Interpretation Processor: dim=1
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