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TRS Innermost pair #487093144
details
property
value
status
complete
benchmark
Ex18_Luc06_C.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
Transformed_CSR_innermost_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0634949 seconds
cpu usage
0.067744
user time
0.04087
system time
0.026874
max virtual memory
113188.0
max residence set size
5716.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S X:S) (RULES active(f(f(a))) -> mark(f(g(f(a)))) active(f(X:S)) -> f(active(X:S)) f(mark(X:S)) -> mark(f(X:S)) f(ok(X:S)) -> ok(f(X:S)) g(ok(X:S)) -> ok(g(X:S)) proper(f(X:S)) -> f(proper(X:S)) proper(g(X:S)) -> g(proper(X:S)) proper(a) -> ok(a) top(mark(X:S)) -> top(proper(X:S)) top(ok(X:S)) -> top(active(X:S)) ) (STRATEGY INNERMOST) Problem 1: Dependency Pairs Processor: -> Pairs: ACTIVE(f(X:S)) -> ACTIVE(X:S) ACTIVE(f(X:S)) -> F(active(X:S)) F(mark(X:S)) -> F(X:S) F(ok(X:S)) -> F(X:S) G(ok(X:S)) -> G(X:S) PROPER(f(X:S)) -> F(proper(X:S)) PROPER(f(X:S)) -> PROPER(X:S) PROPER(g(X:S)) -> G(proper(X:S)) PROPER(g(X:S)) -> PROPER(X:S) TOP(mark(X:S)) -> PROPER(X:S) TOP(mark(X:S)) -> TOP(proper(X:S)) TOP(ok(X:S)) -> ACTIVE(X:S) TOP(ok(X:S)) -> TOP(active(X:S)) -> Rules: active(f(f(a))) -> mark(f(g(f(a)))) active(f(X:S)) -> f(active(X:S)) f(mark(X:S)) -> mark(f(X:S)) f(ok(X:S)) -> ok(f(X:S)) g(ok(X:S)) -> ok(g(X:S)) proper(f(X:S)) -> f(proper(X:S)) proper(g(X:S)) -> g(proper(X:S)) proper(a) -> ok(a) top(mark(X:S)) -> top(proper(X:S)) top(ok(X:S)) -> top(active(X:S)) Problem 1: SCC Processor: -> Pairs: ACTIVE(f(X:S)) -> ACTIVE(X:S) ACTIVE(f(X:S)) -> F(active(X:S)) F(mark(X:S)) -> F(X:S) F(ok(X:S)) -> F(X:S) G(ok(X:S)) -> G(X:S) PROPER(f(X:S)) -> F(proper(X:S)) PROPER(f(X:S)) -> PROPER(X:S) PROPER(g(X:S)) -> G(proper(X:S)) PROPER(g(X:S)) -> PROPER(X:S) TOP(mark(X:S)) -> PROPER(X:S) TOP(mark(X:S)) -> TOP(proper(X:S)) TOP(ok(X:S)) -> ACTIVE(X:S) TOP(ok(X:S)) -> TOP(active(X:S)) -> Rules: active(f(f(a))) -> mark(f(g(f(a)))) active(f(X:S)) -> f(active(X:S)) f(mark(X:S)) -> mark(f(X:S)) f(ok(X:S)) -> ok(f(X:S)) g(ok(X:S)) -> ok(g(X:S)) proper(f(X:S)) -> f(proper(X:S)) proper(g(X:S)) -> g(proper(X:S)) proper(a) -> ok(a) top(mark(X:S)) -> top(proper(X:S)) top(ok(X:S)) -> top(active(X:S)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: G(ok(X:S)) -> G(X:S) ->->-> Rules: active(f(f(a))) -> mark(f(g(f(a)))) active(f(X:S)) -> f(active(X:S)) f(mark(X:S)) -> mark(f(X:S)) f(ok(X:S)) -> ok(f(X:S)) g(ok(X:S)) -> ok(g(X:S)) proper(f(X:S)) -> f(proper(X:S)) proper(g(X:S)) -> g(proper(X:S)) proper(a) -> ok(a) top(mark(X:S)) -> top(proper(X:S)) top(ok(X:S)) -> top(active(X:S)) ->->Cycle: ->->-> Pairs: F(mark(X:S)) -> F(X:S) F(ok(X:S)) -> F(X:S) ->->-> Rules: active(f(f(a))) -> mark(f(g(f(a)))) active(f(X:S)) -> f(active(X:S)) f(mark(X:S)) -> mark(f(X:S)) f(ok(X:S)) -> ok(f(X:S))
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