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SRS Standard pair #487091838
details
property
value
status
complete
benchmark
z080.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n147.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
87.6881 seconds
cpu usage
87.4696
user time
80.0063
system time
7.46326
max virtual memory
752244.0
max residence set size
44440.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S x1:S) (RULES A(a(x1:S)) -> x1:S A(b(x1:S)) -> b(a(B(A(x1:S)))) B(a(x1:S)) -> a(b(A(B(x1:S)))) B(b(x1:S)) -> x1:S ) Problem 1: Innermost Equivalent Processor: -> Rules: A(a(x1:S)) -> x1:S A(b(x1:S)) -> b(a(B(A(x1:S)))) B(a(x1:S)) -> a(b(A(B(x1:S)))) B(b(x1:S)) -> x1:S -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: A#(b(x1:S)) -> A#(x1:S) A#(b(x1:S)) -> B#(A(x1:S)) B#(a(x1:S)) -> A#(B(x1:S)) B#(a(x1:S)) -> B#(x1:S) -> Rules: A(a(x1:S)) -> x1:S A(b(x1:S)) -> b(a(B(A(x1:S)))) B(a(x1:S)) -> a(b(A(B(x1:S)))) B(b(x1:S)) -> x1:S Problem 1: SCC Processor: -> Pairs: A#(b(x1:S)) -> A#(x1:S) A#(b(x1:S)) -> B#(A(x1:S)) B#(a(x1:S)) -> A#(B(x1:S)) B#(a(x1:S)) -> B#(x1:S) -> Rules: A(a(x1:S)) -> x1:S A(b(x1:S)) -> b(a(B(A(x1:S)))) B(a(x1:S)) -> a(b(A(B(x1:S)))) B(b(x1:S)) -> x1:S ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: A#(b(x1:S)) -> A#(x1:S) A#(b(x1:S)) -> B#(A(x1:S)) B#(a(x1:S)) -> A#(B(x1:S)) B#(a(x1:S)) -> B#(x1:S) ->->-> Rules: A(a(x1:S)) -> x1:S A(b(x1:S)) -> b(a(B(A(x1:S)))) B(a(x1:S)) -> a(b(A(B(x1:S)))) B(b(x1:S)) -> x1:S Problem 1: Narrowing Processor: -> Pairs: A#(b(x1:S)) -> A#(x1:S) A#(b(x1:S)) -> B#(A(x1:S)) B#(a(x1:S)) -> A#(B(x1:S)) B#(a(x1:S)) -> B#(x1:S) -> Rules: A(a(x1:S)) -> x1:S A(b(x1:S)) -> b(a(B(A(x1:S)))) B(a(x1:S)) -> a(b(A(B(x1:S)))) B(b(x1:S)) -> x1:S ->Narrowed Pairs: ->->Original Pair: A#(b(x1:S)) -> B#(A(x1:S)) ->-> Narrowed pairs: A#(b(a(x1:S))) -> B#(x1:S) A#(b(b(x1:S))) -> B#(b(a(B(A(x1:S))))) ->->Original Pair: B#(a(x1:S)) -> A#(B(x1:S)) ->-> Narrowed pairs: B#(a(a(x1:S))) -> A#(a(b(A(B(x1:S))))) B#(a(b(x1:S))) -> A#(x1:S) Problem 1: SCC Processor: -> Pairs: A#(b(a(x1:S))) -> B#(x1:S) A#(b(b(x1:S))) -> B#(b(a(B(A(x1:S))))) A#(b(x1:S)) -> A#(x1:S) B#(a(a(x1:S))) -> A#(a(b(A(B(x1:S))))) B#(a(b(x1:S))) -> A#(x1:S) B#(a(x1:S)) -> B#(x1:S) -> Rules: A(a(x1:S)) -> x1:S
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