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SRS Standard pair #487091004
details
property
value
status
complete
benchmark
aprove06.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n142.star.cs.uiowa.edu
space
Secret_06_SRS
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.254144 seconds
cpu usage
0.23378
user time
0.151639
system time
0.082141
max virtual memory
113188.0
max residence set size
9132.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S x1:S) (RULES p(p(s(x1:S))) -> p(x1:S) p(0(x1:S)) -> 0(s(s(s(s(s(s(s(s(x1:S))))))))) p(s(x1:S)) -> x1:S tower(0(x1:S)) -> s(0(p(s(p(s(x1:S)))))) tower(s(x1:S)) -> p(s(p(s(twoto(p(s(p(s(tower(p(s(p(s(x1:S)))))))))))))) twice(0(x1:S)) -> 0(x1:S) twice(s(x1:S)) -> p(p(p(s(s(s(s(s(twice(p(p(p(s(s(s(x1:S))))))))))))))) twoto(0(x1:S)) -> s(0(x1:S)) twoto(s(x1:S)) -> p(p(s(p(p(p(s(s(p(s(s(p(s(s(p(s(twice(p(s(p(s(p(p(p(s(s(s(twoto(p(s(p(s(x1:S)))))))))))))))))))))))))))))))) ) Problem 1: Dependency Pairs Processor: -> Pairs: P(p(s(x1:S))) -> P(x1:S) TOWER(0(x1:S)) -> P(s(p(s(x1:S)))) TOWER(0(x1:S)) -> P(s(x1:S)) TOWER(s(x1:S)) -> P(s(p(s(tower(p(s(p(s(x1:S))))))))) TOWER(s(x1:S)) -> P(s(p(s(twoto(p(s(p(s(tower(p(s(p(s(x1:S)))))))))))))) TOWER(s(x1:S)) -> P(s(p(s(x1:S)))) TOWER(s(x1:S)) -> P(s(tower(p(s(p(s(x1:S))))))) TOWER(s(x1:S)) -> P(s(twoto(p(s(p(s(tower(p(s(p(s(x1:S)))))))))))) TOWER(s(x1:S)) -> P(s(x1:S)) TOWER(s(x1:S)) -> TOWER(p(s(p(s(x1:S))))) TOWER(s(x1:S)) -> TWOTO(p(s(p(s(tower(p(s(p(s(x1:S)))))))))) TWICE(s(x1:S)) -> P(p(p(s(s(s(s(s(twice(p(p(p(s(s(s(x1:S))))))))))))))) TWICE(s(x1:S)) -> P(p(p(s(s(s(x1:S)))))) TWICE(s(x1:S)) -> P(p(s(s(s(s(s(twice(p(p(p(s(s(s(x1:S)))))))))))))) TWICE(s(x1:S)) -> P(p(s(s(s(x1:S))))) TWICE(s(x1:S)) -> P(s(s(s(s(s(twice(p(p(p(s(s(s(x1:S))))))))))))) TWICE(s(x1:S)) -> P(s(s(s(x1:S)))) TWICE(s(x1:S)) -> TWICE(p(p(p(s(s(s(x1:S))))))) TWOTO(s(x1:S)) -> P(p(p(s(s(p(s(s(p(s(s(p(s(twice(p(s(p(s(p(p(p(s(s(s(twoto(p(s(p(s(x1:S))))))))))))))))))))))))))))) TWOTO(s(x1:S)) -> P(p(p(s(s(s(twoto(p(s(p(s(x1:S))))))))))) TWOTO(s(x1:S)) -> P(p(s(p(p(p(s(s(p(s(s(p(s(s(p(s(twice(p(s(p(s(p(p(p(s(s(s(twoto(p(s(p(s(x1:S)))))))))))))))))))))))))))))))) TWOTO(s(x1:S)) -> P(p(s(s(p(s(s(p(s(s(p(s(twice(p(s(p(s(p(p(p(s(s(s(twoto(p(s(p(s(x1:S)))))))))))))))))))))))))))) TWOTO(s(x1:S)) -> P(p(s(s(s(twoto(p(s(p(s(x1:S)))))))))) TWOTO(s(x1:S)) -> P(s(p(p(p(s(s(p(s(s(p(s(s(p(s(twice(p(s(p(s(p(p(p(s(s(s(twoto(p(s(p(s(x1:S))))))))))))))))))))))))))))))) TWOTO(s(x1:S)) -> P(s(p(p(p(s(s(s(twoto(p(s(p(s(x1:S))))))))))))) TWOTO(s(x1:S)) -> P(s(p(s(p(p(p(s(s(s(twoto(p(s(p(s(x1:S))))))))))))))) TWOTO(s(x1:S)) -> P(s(p(s(x1:S)))) TWOTO(s(x1:S)) -> P(s(twice(p(s(p(s(p(p(p(s(s(s(twoto(p(s(p(s(x1:S)))))))))))))))))) TWOTO(s(x1:S)) -> P(s(s(p(s(twice(p(s(p(s(p(p(p(s(s(s(twoto(p(s(p(s(x1:S))))))))))))))))))))) TWOTO(s(x1:S)) -> P(s(s(p(s(s(p(s(twice(p(s(p(s(p(p(p(s(s(s(twoto(p(s(p(s(x1:S)))))))))))))))))))))))) TWOTO(s(x1:S)) -> P(s(s(p(s(s(p(s(s(p(s(twice(p(s(p(s(p(p(p(s(s(s(twoto(p(s(p(s(x1:S))))))))))))))))))))))))))) TWOTO(s(x1:S)) -> P(s(s(s(twoto(p(s(p(s(x1:S))))))))) TWOTO(s(x1:S)) -> P(s(x1:S)) TWOTO(s(x1:S)) -> TWICE(p(s(p(s(p(p(p(s(s(s(twoto(p(s(p(s(x1:S)))))))))))))))) TWOTO(s(x1:S)) -> TWOTO(p(s(p(s(x1:S))))) -> Rules: p(p(s(x1:S))) -> p(x1:S) p(0(x1:S)) -> 0(s(s(s(s(s(s(s(s(x1:S))))))))) p(s(x1:S)) -> x1:S tower(0(x1:S)) -> s(0(p(s(p(s(x1:S)))))) tower(s(x1:S)) -> p(s(p(s(twoto(p(s(p(s(tower(p(s(p(s(x1:S)))))))))))))) twice(0(x1:S)) -> 0(x1:S) twice(s(x1:S)) -> p(p(p(s(s(s(s(s(twice(p(p(p(s(s(s(x1:S))))))))))))))) twoto(0(x1:S)) -> s(0(x1:S)) twoto(s(x1:S)) -> p(p(s(p(p(p(s(s(p(s(s(p(s(s(p(s(twice(p(s(p(s(p(p(p(s(s(s(twoto(p(s(p(s(x1:S)))))))))))))))))))))))))))))))) Problem 1: SCC Processor: -> Pairs: P(p(s(x1:S))) -> P(x1:S) TOWER(0(x1:S)) -> P(s(p(s(x1:S)))) TOWER(0(x1:S)) -> P(s(x1:S)) TOWER(s(x1:S)) -> P(s(p(s(tower(p(s(p(s(x1:S))))))))) TOWER(s(x1:S)) -> P(s(p(s(twoto(p(s(p(s(tower(p(s(p(s(x1:S)))))))))))))) TOWER(s(x1:S)) -> P(s(p(s(x1:S)))) TOWER(s(x1:S)) -> P(s(tower(p(s(p(s(x1:S))))))) TOWER(s(x1:S)) -> P(s(twoto(p(s(p(s(tower(p(s(p(s(x1:S)))))))))))) TOWER(s(x1:S)) -> P(s(x1:S)) TOWER(s(x1:S)) -> TOWER(p(s(p(s(x1:S))))) TOWER(s(x1:S)) -> TWOTO(p(s(p(s(tower(p(s(p(s(x1:S)))))))))) TWICE(s(x1:S)) -> P(p(p(s(s(s(s(s(twice(p(p(p(s(s(s(x1:S))))))))))))))) TWICE(s(x1:S)) -> P(p(p(s(s(s(x1:S)))))) TWICE(s(x1:S)) -> P(p(s(s(s(s(s(twice(p(p(p(s(s(s(x1:S)))))))))))))) TWICE(s(x1:S)) -> P(p(s(s(s(x1:S))))) TWICE(s(x1:S)) -> P(s(s(s(s(s(twice(p(p(p(s(s(s(x1:S))))))))))))) TWICE(s(x1:S)) -> P(s(s(s(x1:S)))) TWICE(s(x1:S)) -> TWICE(p(p(p(s(s(s(x1:S))))))) TWOTO(s(x1:S)) -> P(p(p(s(s(p(s(s(p(s(s(p(s(twice(p(s(p(s(p(p(p(s(s(s(twoto(p(s(p(s(x1:S))))))))))))))))))))))))))))) TWOTO(s(x1:S)) -> P(p(p(s(s(s(twoto(p(s(p(s(x1:S))))))))))) TWOTO(s(x1:S)) -> P(p(s(p(p(p(s(s(p(s(s(p(s(s(p(s(twice(p(s(p(s(p(p(p(s(s(s(twoto(p(s(p(s(x1:S)))))))))))))))))))))))))))))))) TWOTO(s(x1:S)) -> P(p(s(s(p(s(s(p(s(s(p(s(twice(p(s(p(s(p(p(p(s(s(s(twoto(p(s(p(s(x1:S)))))))))))))))))))))))))))) TWOTO(s(x1:S)) -> P(p(s(s(s(twoto(p(s(p(s(x1:S)))))))))) TWOTO(s(x1:S)) -> P(s(p(p(p(s(s(p(s(s(p(s(s(p(s(twice(p(s(p(s(p(p(p(s(s(s(twoto(p(s(p(s(x1:S))))))))))))))))))))))))))))))) TWOTO(s(x1:S)) -> P(s(p(p(p(s(s(s(twoto(p(s(p(s(x1:S))))))))))))) TWOTO(s(x1:S)) -> P(s(p(s(p(p(p(s(s(s(twoto(p(s(p(s(x1:S))))))))))))))) TWOTO(s(x1:S)) -> P(s(p(s(x1:S)))) TWOTO(s(x1:S)) -> P(s(twice(p(s(p(s(p(p(p(s(s(s(twoto(p(s(p(s(x1:S)))))))))))))))))) TWOTO(s(x1:S)) -> P(s(s(p(s(twice(p(s(p(s(p(p(p(s(s(s(twoto(p(s(p(s(x1:S)))))))))))))))))))))
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