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TRS Stand 20472 pair #381710560
details
property
value
status
complete
benchmark
ExIntrod_GM04_GM.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
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
1.29694104195 seconds
cpu usage
3.73585233
max memory
2.85413376E8
stage attributes
key
value
output-size
17780
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem: a__nats() -> a__adx(a__zeros()) a__zeros() -> cons(0(),zeros()) a__incr(cons(X,Y)) -> cons(s(X),incr(Y)) a__adx(cons(X,Y)) -> a__incr(cons(X,adx(Y))) a__hd(cons(X,Y)) -> mark(X) a__tl(cons(X,Y)) -> mark(Y) mark(nats()) -> a__nats() mark(adx(X)) -> a__adx(mark(X)) mark(zeros()) -> a__zeros() mark(incr(X)) -> a__incr(mark(X)) mark(hd(X)) -> a__hd(mark(X)) mark(tl(X)) -> a__tl(mark(X)) mark(cons(X1,X2)) -> cons(X1,X2) mark(0()) -> 0() mark(s(X)) -> s(X) a__nats() -> nats() a__adx(X) -> adx(X) a__zeros() -> zeros() a__incr(X) -> incr(X) a__hd(X) -> hd(X) a__tl(X) -> tl(X) Proof: Matrix Interpretation Processor: dim=1 interpretation: [tl](x0) = x0 + 2, [hd](x0) = x0, [nats] = 4, [a__tl](x0) = x0 + 4, [mark](x0) = 4x0, [a__hd](x0) = x0, [adx](x0) = x0, [incr](x0) = x0, [s](x0) = x0, [a__incr](x0) = x0, [cons](x0, x1) = 6x0 + 4x1, [zeros] = 0, [0] = 0, [a__adx](x0) = x0, [a__zeros] = 0, [a__nats] = 5 orientation: a__nats() = 5 >= 0 = a__adx(a__zeros()) a__zeros() = 0 >= 0 = cons(0(),zeros()) a__incr(cons(X,Y)) = 6X + 4Y >= 6X + 4Y = cons(s(X),incr(Y)) a__adx(cons(X,Y)) = 6X + 4Y >= 6X + 4Y = a__incr(cons(X,adx(Y))) a__hd(cons(X,Y)) = 6X + 4Y >= 4X = mark(X) a__tl(cons(X,Y)) = 6X + 4Y + 4 >= 4Y = mark(Y) mark(nats()) = 16 >= 5 = a__nats() mark(adx(X)) = 4X >= 4X = a__adx(mark(X)) mark(zeros()) = 0 >= 0 = a__zeros() mark(incr(X)) = 4X >= 4X = a__incr(mark(X)) mark(hd(X)) = 4X >= 4X = a__hd(mark(X)) mark(tl(X)) = 4X + 8 >= 4X + 4 = a__tl(mark(X)) mark(cons(X1,X2)) = 24X1 + 16X2 >= 6X1 + 4X2 = cons(X1,X2) mark(0()) = 0 >= 0 = 0() mark(s(X)) = 4X >= X = s(X) a__nats() = 5 >= 4 = nats() a__adx(X) = X >= X = adx(X)
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