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TRS Stand 20472 pair #381711415
details
property
value
status
complete
benchmark
012.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n072.star.cs.uiowa.edu
space
AotoYamada_05
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0234811306 seconds
cpu usage
0.021132742
max memory
2232320.0
stage attributes
key
value
output-size
8985
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR p x xs y) (RULES app(app(and,false),y) -> false app(app(and,true),true) -> true app(app(and,x),false) -> false app(app(forall,p),app(app(cons,x),xs)) -> app(app(and,app(p,x)),app(app(forall,p),xs)) app(app(forall,p),nil) -> true app(app(forsome,p),app(app(cons,x),xs)) -> app(app(or,app(p,x)),app(app(forsome,p),xs)) app(app(forsome,p),nil) -> false app(app(or,false),false) -> false app(app(or,true),y) -> true app(app(or,x),true) -> true ) Problem 1: Innermost Equivalent Processor: -> Rules: app(app(and,false),y) -> false app(app(and,true),true) -> true app(app(and,x),false) -> false app(app(forall,p),app(app(cons,x),xs)) -> app(app(and,app(p,x)),app(app(forall,p),xs)) app(app(forall,p),nil) -> true app(app(forsome,p),app(app(cons,x),xs)) -> app(app(or,app(p,x)),app(app(forsome,p),xs)) app(app(forsome,p),nil) -> false app(app(or,false),false) -> false app(app(or,true),y) -> true app(app(or,x),true) -> true -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: APP(app(forall,p),app(app(cons,x),xs)) -> APP(app(and,app(p,x)),app(app(forall,p),xs)) APP(app(forall,p),app(app(cons,x),xs)) -> APP(app(forall,p),xs) APP(app(forall,p),app(app(cons,x),xs)) -> APP(and,app(p,x)) APP(app(forall,p),app(app(cons,x),xs)) -> APP(p,x) APP(app(forsome,p),app(app(cons,x),xs)) -> APP(app(forsome,p),xs) APP(app(forsome,p),app(app(cons,x),xs)) -> APP(app(or,app(p,x)),app(app(forsome,p),xs)) APP(app(forsome,p),app(app(cons,x),xs)) -> APP(or,app(p,x)) APP(app(forsome,p),app(app(cons,x),xs)) -> APP(p,x) -> Rules: app(app(and,false),y) -> false app(app(and,true),true) -> true app(app(and,x),false) -> false app(app(forall,p),app(app(cons,x),xs)) -> app(app(and,app(p,x)),app(app(forall,p),xs)) app(app(forall,p),nil) -> true app(app(forsome,p),app(app(cons,x),xs)) -> app(app(or,app(p,x)),app(app(forsome,p),xs)) app(app(forsome,p),nil) -> false app(app(or,false),false) -> false app(app(or,true),y) -> true app(app(or,x),true) -> true Problem 1: SCC Processor: -> Pairs: APP(app(forall,p),app(app(cons,x),xs)) -> APP(app(and,app(p,x)),app(app(forall,p),xs)) APP(app(forall,p),app(app(cons,x),xs)) -> APP(app(forall,p),xs) APP(app(forall,p),app(app(cons,x),xs)) -> APP(and,app(p,x)) APP(app(forall,p),app(app(cons,x),xs)) -> APP(p,x) APP(app(forsome,p),app(app(cons,x),xs)) -> APP(app(forsome,p),xs) APP(app(forsome,p),app(app(cons,x),xs)) -> APP(app(or,app(p,x)),app(app(forsome,p),xs)) APP(app(forsome,p),app(app(cons,x),xs)) -> APP(or,app(p,x)) APP(app(forsome,p),app(app(cons,x),xs)) -> APP(p,x) -> Rules: app(app(and,false),y) -> false app(app(and,true),true) -> true app(app(and,x),false) -> false app(app(forall,p),app(app(cons,x),xs)) -> app(app(and,app(p,x)),app(app(forall,p),xs)) app(app(forall,p),nil) -> true app(app(forsome,p),app(app(cons,x),xs)) -> app(app(or,app(p,x)),app(app(forsome,p),xs)) app(app(forsome,p),nil) -> false app(app(or,false),false) -> false app(app(or,true),y) -> true app(app(or,x),true) -> true ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: APP(app(forall,p),app(app(cons,x),xs)) -> APP(app(forall,p),xs) APP(app(forall,p),app(app(cons,x),xs)) -> APP(p,x) APP(app(forsome,p),app(app(cons,x),xs)) -> APP(app(forsome,p),xs) APP(app(forsome,p),app(app(cons,x),xs)) -> APP(p,x) ->->-> Rules: app(app(and,false),y) -> false app(app(and,true),true) -> true app(app(and,x),false) -> false app(app(forall,p),app(app(cons,x),xs)) -> app(app(and,app(p,x)),app(app(forall,p),xs))
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