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SRS_Standard 2019-03-29 03.29 pair #432292024
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
n156.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
87.6372 seconds
cpu usage
87.4436
user time
80.3083
system time
7.13533
max virtual memory
752260.0
max residence set size
44444.0
stage attributes
key
value
starexec-result
YES
output
87.38/87.63 YES 87.38/87.63 87.38/87.63 Problem 1: 87.38/87.63 87.38/87.63 (VAR v_NonEmpty:S x1:S) 87.38/87.63 (RULES 87.38/87.63 A(a(x1:S)) -> x1:S 87.38/87.63 A(b(x1:S)) -> b(a(B(A(x1:S)))) 87.38/87.63 B(a(x1:S)) -> a(b(A(B(x1:S)))) 87.38/87.63 B(b(x1:S)) -> x1:S 87.38/87.63 ) 87.38/87.63 87.38/87.63 Problem 1: 87.38/87.63 87.38/87.63 Innermost Equivalent Processor: 87.38/87.63 -> Rules: 87.38/87.63 A(a(x1:S)) -> x1:S 87.38/87.63 A(b(x1:S)) -> b(a(B(A(x1:S)))) 87.38/87.63 B(a(x1:S)) -> a(b(A(B(x1:S)))) 87.38/87.63 B(b(x1:S)) -> x1:S 87.38/87.63 -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. 87.38/87.63 87.38/87.63 87.38/87.63 Problem 1: 87.38/87.63 87.38/87.63 Dependency Pairs Processor: 87.38/87.63 -> Pairs: 87.38/87.63 A#(b(x1:S)) -> A#(x1:S) 87.38/87.63 A#(b(x1:S)) -> B#(A(x1:S)) 87.38/87.63 B#(a(x1:S)) -> A#(B(x1:S)) 87.38/87.63 B#(a(x1:S)) -> B#(x1:S) 87.38/87.63 -> Rules: 87.38/87.63 A(a(x1:S)) -> x1:S 87.38/87.63 A(b(x1:S)) -> b(a(B(A(x1:S)))) 87.38/87.63 B(a(x1:S)) -> a(b(A(B(x1:S)))) 87.38/87.63 B(b(x1:S)) -> x1:S 87.38/87.63 87.38/87.63 Problem 1: 87.38/87.63 87.38/87.63 SCC Processor: 87.38/87.63 -> Pairs: 87.38/87.63 A#(b(x1:S)) -> A#(x1:S) 87.38/87.63 A#(b(x1:S)) -> B#(A(x1:S)) 87.38/87.63 B#(a(x1:S)) -> A#(B(x1:S)) 87.38/87.63 B#(a(x1:S)) -> B#(x1:S) 87.38/87.63 -> Rules: 87.38/87.63 A(a(x1:S)) -> x1:S 87.38/87.63 A(b(x1:S)) -> b(a(B(A(x1:S)))) 87.38/87.63 B(a(x1:S)) -> a(b(A(B(x1:S)))) 87.38/87.63 B(b(x1:S)) -> x1:S 87.38/87.63 ->Strongly Connected Components: 87.38/87.63 ->->Cycle: 87.38/87.63 ->->-> Pairs: 87.38/87.63 A#(b(x1:S)) -> A#(x1:S) 87.38/87.63 A#(b(x1:S)) -> B#(A(x1:S)) 87.38/87.63 B#(a(x1:S)) -> A#(B(x1:S)) 87.38/87.63 B#(a(x1:S)) -> B#(x1:S) 87.38/87.63 ->->-> Rules: 87.38/87.63 A(a(x1:S)) -> x1:S 87.38/87.63 A(b(x1:S)) -> b(a(B(A(x1:S)))) 87.38/87.63 B(a(x1:S)) -> a(b(A(B(x1:S)))) 87.38/87.63 B(b(x1:S)) -> x1:S 87.38/87.63 87.38/87.63 Problem 1: 87.38/87.63 87.38/87.63 Narrowing Processor: 87.38/87.63 -> Pairs: 87.38/87.63 A#(b(x1:S)) -> A#(x1:S) 87.38/87.63 A#(b(x1:S)) -> B#(A(x1:S)) 87.38/87.63 B#(a(x1:S)) -> A#(B(x1:S)) 87.38/87.63 B#(a(x1:S)) -> B#(x1:S) 87.38/87.63 -> Rules: 87.38/87.63 A(a(x1:S)) -> x1:S 87.38/87.63 A(b(x1:S)) -> b(a(B(A(x1:S)))) 87.38/87.63 B(a(x1:S)) -> a(b(A(B(x1:S)))) 87.38/87.63 B(b(x1:S)) -> x1:S 87.38/87.63 ->Narrowed Pairs: 87.38/87.63 ->->Original Pair: 87.38/87.63 A#(b(x1:S)) -> B#(A(x1:S)) 87.38/87.63 ->-> Narrowed pairs: 87.38/87.63 A#(b(a(x1:S))) -> B#(x1:S) 87.38/87.63 A#(b(b(x1:S))) -> B#(b(a(B(A(x1:S))))) 87.38/87.63 ->->Original Pair: 87.38/87.63 B#(a(x1:S)) -> A#(B(x1:S)) 87.38/87.63 ->-> Narrowed pairs: 87.38/87.63 B#(a(a(x1:S))) -> A#(a(b(A(B(x1:S))))) 87.38/87.63 B#(a(b(x1:S))) -> A#(x1:S) 87.38/87.63 87.38/87.63 Problem 1: 87.38/87.63 87.38/87.63 SCC Processor: 87.38/87.63 -> Pairs: 87.38/87.63 A#(b(a(x1:S))) -> B#(x1:S) 87.38/87.63 A#(b(b(x1:S))) -> B#(b(a(B(A(x1:S))))) 87.38/87.63 A#(b(x1:S)) -> A#(x1:S) 87.38/87.63 B#(a(a(x1:S))) -> A#(a(b(A(B(x1:S))))) 87.38/87.63 B#(a(b(x1:S))) -> A#(x1:S) 87.38/87.63 B#(a(x1:S)) -> B#(x1:S) 87.38/87.63 -> Rules: 87.38/87.63 A(a(x1:S)) -> x1:S
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