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TRS Standard pair #516961724
details
property
value
status
complete
benchmark
Ex1_Luc04b_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n054.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
3.08493089676 seconds
cpu usage
10.700401229
max memory
4.05942272E8
stage attributes
key
value
output-size
68632
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2 /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem: active(nats()) -> mark(cons(0(),incr(nats()))) active(pairs()) -> mark(cons(0(),incr(odds()))) active(odds()) -> mark(incr(pairs())) active(incr(cons(X,XS))) -> mark(cons(s(X),incr(XS))) active(head(cons(X,XS))) -> mark(X) active(tail(cons(X,XS))) -> mark(XS) mark(nats()) -> active(nats()) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(0()) -> active(0()) mark(incr(X)) -> active(incr(mark(X))) mark(pairs()) -> active(pairs()) mark(odds()) -> active(odds()) mark(s(X)) -> active(s(mark(X))) mark(head(X)) -> active(head(mark(X))) mark(tail(X)) -> active(tail(mark(X))) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) incr(mark(X)) -> incr(X) incr(active(X)) -> incr(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) head(mark(X)) -> head(X) head(active(X)) -> head(X) tail(mark(X)) -> tail(X) tail(active(X)) -> tail(X) Proof: Matrix Interpretation Processor: dim=1 interpretation: [cons](x0, x1) = 4x0 + 4x1, [s](x0) = 4x0, [active](x0) = x0, [incr](x0) = 4x0, [mark](x0) = x0, [tail](x0) = 2x0, [nats] = 0, [odds] = 0, [head](x0) = x0 + 4, [pairs] = 0, [0] = 0 orientation: active(nats()) = 0 >= 0 = mark(cons(0(),incr(nats()))) active(pairs()) = 0 >= 0 = mark(cons(0(),incr(odds()))) active(odds()) = 0 >= 0 = mark(incr(pairs())) active(incr(cons(X,XS))) = 16X + 16XS >= 16X + 16XS = mark(cons(s(X),incr(XS))) active(head(cons(X,XS))) = 4X + 4XS + 4 >= X = mark(X) active(tail(cons(X,XS))) = 8X + 8XS >= XS = mark(XS) mark(nats()) = 0 >= 0 = active(nats()) mark(cons(X1,X2)) = 4X1 + 4X2 >= 4X1 + 4X2 = active(cons(mark(X1),X2)) mark(0()) = 0 >= 0 = active(0()) mark(incr(X)) = 4X >= 4X = active(incr(mark(X))) mark(pairs()) = 0 >= 0 = active(pairs()) mark(odds()) = 0 >= 0 = active(odds()) mark(s(X)) = 4X >= 4X = active(s(mark(X))) mark(head(X)) = X + 4 >= X + 4 = active(head(mark(X))) mark(tail(X)) = 2X >= 2X = active(tail(mark(X))) cons(mark(X1),X2) = 4X1 + 4X2 >= 4X1 + 4X2 = cons(X1,X2) cons(X1,mark(X2)) = 4X1 + 4X2 >= 4X1 + 4X2 = cons(X1,X2) cons(active(X1),X2) = 4X1 + 4X2 >= 4X1 + 4X2 = cons(X1,X2) cons(X1,active(X2)) = 4X1 + 4X2 >= 4X1 + 4X2 = cons(X1,X2)
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