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TRS Standard pair #487070967
details
property
value
status
complete
benchmark
ExIntrod_Zan97_Z.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n189.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.323357 seconds
cpu usage
0.324442
user time
0.290242
system time
0.0342
max virtual memory
96176.0
max residence set size
57088.0
stage attributes
key
value
starexec-result
NO
output
NO Problem: fact(X) -> if(zero(X),n__s(0()),n__prod(X,fact(p(X)))) add(0(),X) -> X add(s(X),Y) -> s(add(X,Y)) prod(0(),X) -> 0() prod(s(X),Y) -> add(Y,prod(X,Y)) if(true(),X,Y) -> activate(X) if(false(),X,Y) -> activate(Y) zero(0()) -> true() zero(s(X)) -> false() p(s(X)) -> X s(X) -> n__s(X) prod(X1,X2) -> n__prod(X1,X2) activate(n__s(X)) -> s(X) activate(n__prod(X1,X2)) -> prod(X1,X2) activate(X) -> X Proof: Containment Processor: loop length: 1 terms: fact(X) context: if(zero(X),n__s(0()),n__prod(X,[])) substitution: X -> p(X) Qed
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