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TRS Standard pair #487071837
details
property
value
status
complete
benchmark
ExIntrod_GM01_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n070.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
4.96016 seconds
cpu usage
18.0502
user time
15.8338
system time
2.21641
max virtual memory
2076920.0
max residence set size
184364.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: active(incr(nil())) -> mark(nil()) active(incr(cons(X,L))) -> mark(cons(s(X),incr(L))) active(adx(nil())) -> mark(nil()) active(adx(cons(X,L))) -> mark(incr(cons(X,adx(L)))) active(nats()) -> mark(adx(zeros())) active(zeros()) -> mark(cons(0(),zeros())) active(head(cons(X,L))) -> mark(X) active(tail(cons(X,L))) -> mark(L) active(incr(X)) -> incr(active(X)) active(cons(X1,X2)) -> cons(active(X1),X2) active(s(X)) -> s(active(X)) active(adx(X)) -> adx(active(X)) active(head(X)) -> head(active(X)) active(tail(X)) -> tail(active(X)) incr(mark(X)) -> mark(incr(X)) cons(mark(X1),X2) -> mark(cons(X1,X2)) s(mark(X)) -> mark(s(X)) adx(mark(X)) -> mark(adx(X)) head(mark(X)) -> mark(head(X)) tail(mark(X)) -> mark(tail(X)) proper(incr(X)) -> incr(proper(X)) proper(nil()) -> ok(nil()) proper(cons(X1,X2)) -> cons(proper(X1),proper(X2)) proper(s(X)) -> s(proper(X)) proper(adx(X)) -> adx(proper(X)) proper(nats()) -> ok(nats()) proper(zeros()) -> ok(zeros()) proper(0()) -> ok(0()) proper(head(X)) -> head(proper(X)) proper(tail(X)) -> tail(proper(X)) incr(ok(X)) -> ok(incr(X)) cons(ok(X1),ok(X2)) -> ok(cons(X1,X2)) s(ok(X)) -> ok(s(X)) adx(ok(X)) -> ok(adx(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=3 interpretation: [1 0 0] [1 0 0] [cons](x0, x1) = [0 0 1]x0 + [0 0 0]x1 [0 0 1] [0 0 0] , [1] [zeros] = [0] [0], [1 0 0] [incr](x0) = [0 0 1]x0 [0 1 0] , [1 0 0] [0] [mark](x0) = [0 0 0]x0 + [1] [0 0 0] [1], [1 0 0] [s](x0) = [0 0 1]x0 [0 0 1] , [1 0 0] [1] [head](x0) = [0 0 0]x0 + [1] [0 1 0] [0], [1] [nil] = [1] [0], [1] [nats] = [0] [0], [1 0 0] [top](x0) = [0 0 0]x0 [0 0 0] , [1 0 0] [0] [proper](x0) = [0 0 0]x0 + [1] [0 0 0] [1], [1 0 0] [0] [tail](x0) = [0 0 0]x0 + [1] [0 0 0] [1], [0] [0] = [0] [0], [1 0 0] [ok](x0) = [0 0 0]x0 [0 0 0] , [1 0 0] [0] [adx](x0) = [0 0 1]x0 + [0]
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