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TRS Stand 20472 pair #381716439
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
n102.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
3.03145813942 seconds
cpu usage
10.141632115
max memory
3.6048896E8
stage attributes
key
value
output-size
69944
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: 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=3 interpretation: [1 0 0] [tail](x0) = [0 0 0]x0 [0 0 1] , [1 0 0] [1] [head](x0) = [0 0 0]x0 + [1] [0 0 1] [0], [1 0 0] [s](x0) = [0 0 0]x0 [0 0 0] , [0] [odds] = [0] [0], [0] [pairs] = [0] [0], [1 0 0] [0] [mark](x0) = [0 0 0]x0 + [1] [0 0 1] [0], [1 0 1] [1 0 0] [0] [cons](x0, x1) = [0 0 0]x0 + [0 0 0]x1 + [1] [0 0 1] [0 0 1] [0], [1 0 0] [incr](x0) = [0 0 0]x0 [0 0 0] , [0] [0] = [0] [0], [1 0 0] [0] [active](x0) = [0 0 0]x0 + [1] [0 0 1] [0], [0] [nats] = [0] [0] orientation: [0] [0] active(nats()) = [1] >= [1] = mark(cons(0(),incr(nats()))) [0] [0] [0] [0] active(pairs()) = [1] >= [1] = mark(cons(0(),incr(odds()))) [0] [0] [0] [0] active(odds()) = [1] >= [1] = mark(incr(pairs())) [0] [0] [1 0 1] [1 0 0] [0] [1 0 0] [1 0 0] [0] active(incr(cons(X,XS))) = [0 0 0]X + [0 0 0]XS + [1] >= [0 0 0]X + [0 0 0]XS + [1] = mark(cons(s(X),incr(XS))) [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] [0]
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