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TRS Standard pair #487071592
details
property
value
status
complete
benchmark
Ex1_Luc04b_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n074.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
4.09891 seconds
cpu usage
14.5852
user time
12.4618
system time
2.1234
max virtual memory
2031960.0
max residence set size
159952.0
stage attributes
key
value
starexec-result
YES
output
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) active(cons(X1,X2)) -> cons(active(X1),X2) active(incr(X)) -> incr(active(X)) active(s(X)) -> s(active(X)) active(head(X)) -> head(active(X)) active(tail(X)) -> tail(active(X)) cons(mark(X1),X2) -> mark(cons(X1,X2)) incr(mark(X)) -> mark(incr(X)) s(mark(X)) -> mark(s(X)) head(mark(X)) -> mark(head(X)) tail(mark(X)) -> mark(tail(X)) proper(nats()) -> ok(nats()) proper(cons(X1,X2)) -> cons(proper(X1),proper(X2)) proper(0()) -> ok(0()) proper(incr(X)) -> incr(proper(X)) proper(pairs()) -> ok(pairs()) proper(odds()) -> ok(odds()) proper(s(X)) -> s(proper(X)) proper(head(X)) -> head(proper(X)) proper(tail(X)) -> tail(proper(X)) cons(ok(X1),ok(X2)) -> ok(cons(X1,X2)) incr(ok(X)) -> ok(incr(X)) s(ok(X)) -> ok(s(X)) head(ok(X)) -> ok(head(X)) tail(ok(X)) -> ok(tail(X)) top(mark(X)) -> top(proper(X)) top(ok(X)) -> top(active(X)) Proof: Matrix Interpretation Processor: dim=1 interpretation: [cons](x0, x1) = 4x0 + x1, [s](x0) = x0, [active](x0) = x0, [incr](x0) = x0, [mark](x0) = x0, [tail](x0) = 4x0 + 2, [nats] = 0, [odds] = 0, [ok](x0) = x0, [proper](x0) = x0, [head](x0) = 4x0, [top](x0) = x0, [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))) = 4X + XS >= 4X + XS = mark(cons(s(X),incr(XS))) active(head(cons(X,XS))) = 16X + 4XS >= X = mark(X) active(tail(cons(X,XS))) = 16X + 4XS + 2 >= XS = mark(XS) active(cons(X1,X2)) = 4X1 + X2 >= 4X1 + X2 = cons(active(X1),X2) active(incr(X)) = X >= X = incr(active(X)) active(s(X)) = X >= X = s(active(X)) active(head(X)) = 4X >= 4X = head(active(X)) active(tail(X)) = 4X + 2 >= 4X + 2 = tail(active(X)) cons(mark(X1),X2) = 4X1 + X2 >= 4X1 + X2 = mark(cons(X1,X2)) incr(mark(X)) = X >= X = mark(incr(X)) s(mark(X)) = X >= X = mark(s(X)) head(mark(X)) = 4X >= 4X = mark(head(X)) tail(mark(X)) = 4X + 2 >= 4X + 2 = mark(tail(X))
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