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TRS Standard pair #487071424
details
property
value
status
complete
benchmark
Ex6_GM04_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n175.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0670471 seconds
cpu usage
0.071462
user time
0.046814
system time
0.024648
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(g(X:S))) -> mark(g(X:S)) active(c) -> mark(f(g(c))) 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(c) -> ok(c) top(mark(X:S)) -> top(proper(X:S)) top(ok(X:S)) -> top(active(X:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: 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(g(X:S))) -> mark(g(X:S)) active(c) -> mark(f(g(c))) 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(c) -> ok(c) top(mark(X:S)) -> top(proper(X:S)) top(ok(X:S)) -> top(active(X:S)) Problem 1: SCC Processor: -> Pairs: 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(g(X:S))) -> mark(g(X:S)) active(c) -> mark(f(g(c))) 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(c) -> ok(c) 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(g(X:S))) -> mark(g(X:S)) active(c) -> mark(f(g(c))) 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(c) -> ok(c) top(mark(X:S)) -> top(proper(X:S)) top(ok(X:S)) -> top(active(X:S)) ->->Cycle: ->->-> Pairs: F(ok(X:S)) -> F(X:S) ->->-> Rules: active(f(g(X:S))) -> mark(g(X:S)) active(c) -> mark(f(g(c))) 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(c) -> ok(c) top(mark(X:S)) -> top(proper(X:S)) top(ok(X:S)) -> top(active(X:S)) ->->Cycle: ->->-> Pairs: PROPER(f(X:S)) -> PROPER(X:S) PROPER(g(X:S)) -> PROPER(X:S) ->->-> Rules: active(f(g(X:S))) -> mark(g(X:S)) active(c) -> mark(f(g(c)))
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