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TRS Standard pair #516963599
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
n065.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
4.92457294464 seconds
cpu usage
17.769485673
max memory
5.0393088E8
stage attributes
key
value
output-size
84307
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/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) 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=3 interpretation: [1 0 0] [1 1 1] [cons](x0, x1) = [0 1 0]x0 + [0 0 0]x1 [0 0 0] [0 0 0] , [1 0 0] [s](x0) = [0 1 0]x0 [0 0 0] , [1 1 0] [0] [active](x0) = [1 0 0]x0 + [0] [0 0 0] [1], [1 0 0] [incr](x0) = [0 1 0]x0 [0 0 0] , [1 1 0] [mark](x0) = [0 0 0]x0 [0 0 0] , [1 0 0] [tail](x0) = [0 1 0]x0 [0 0 0] , [1] [nats] = [0] [0], [1] [odds] = [0] [0], [1 1 1] [ok](x0) = [0 0 0]x0 [0 0 0] , [1 1 0] [proper](x0) = [0 0 0]x0 [0 0 0] , [1 0 0] [1] [head](x0) = [0 1 0]x0 + [0] [0 0 0] [0], [1 0 0] [top](x0) = [0 0 0]x0 [0 0 0] , [1] [pairs] = [0] [0], [0] [0] = [0]
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