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TRS_Conditional 2019-03-28 22.59 pair #432272476
details
property
value
status
complete
benchmark
324.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n179.star.cs.uiowa.edu
space
COPS
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
100.984 seconds
cpu usage
100.891
user time
97.92
system time
2.97112
max virtual memory
1150808.0
max residence set size
342712.0
stage attributes
key
value
starexec-result
NO
output
100.81/100.98 NO 100.81/100.98 100.81/100.98 Problem 1: 100.81/100.98 100.81/100.98 (VAR v_NonEmpty:S x:S) 100.81/100.98 (RULES 100.81/100.98 eq(x:S,x:S) -> eq(T,T) 100.81/100.98 even(0) -> ttrue 100.81/100.98 even(s(x:S)) -> ffalse | eq(odd(x:S),ffalse) ->* eq(T,T) 100.81/100.98 even(s(x:S)) -> ttrue | eq(odd(x:S),ttrue) ->* eq(T,T) 100.81/100.98 odd(0) -> ffalse 100.81/100.98 odd(s(x:S)) -> ffalse | eq(even(x:S),ffalse) ->* eq(T,T) 100.81/100.98 odd(s(x:S)) -> ttrue | eq(even(x:S),ttrue) ->* eq(T,T) 100.81/100.98 ) 100.81/100.98 100.81/100.98 Problem 1: 100.81/100.98 Valid CTRS Processor: 100.81/100.98 -> Rules: 100.81/100.98 eq(x:S,x:S) -> eq(T,T) 100.81/100.98 even(0) -> ttrue 100.81/100.98 even(s(x:S)) -> ffalse | eq(odd(x:S),ffalse) ->* eq(T,T) 100.81/100.98 even(s(x:S)) -> ttrue | eq(odd(x:S),ttrue) ->* eq(T,T) 100.81/100.98 odd(0) -> ffalse 100.81/100.98 odd(s(x:S)) -> ffalse | eq(even(x:S),ffalse) ->* eq(T,T) 100.81/100.98 odd(s(x:S)) -> ttrue | eq(even(x:S),ttrue) ->* eq(T,T) 100.81/100.98 -> The system is a deterministic 3-CTRS. 100.81/100.98 100.81/100.98 Problem 1: 100.81/100.98 100.81/100.98 Dependency Pairs Processor: 100.81/100.98 100.81/100.98 Conditional Termination Problem 1: 100.81/100.98 -> Pairs: 100.81/100.98 EQ(x:S,x:S) -> EQ(T,T) 100.81/100.98 -> QPairs: 100.81/100.98 Empty 100.81/100.98 -> Rules: 100.81/100.98 eq(x:S,x:S) -> eq(T,T) 100.81/100.98 even(0) -> ttrue 100.81/100.98 even(s(x:S)) -> ffalse | eq(odd(x:S),ffalse) ->* eq(T,T) 100.81/100.98 even(s(x:S)) -> ttrue | eq(odd(x:S),ttrue) ->* eq(T,T) 100.81/100.98 odd(0) -> ffalse 100.81/100.98 odd(s(x:S)) -> ffalse | eq(even(x:S),ffalse) ->* eq(T,T) 100.81/100.98 odd(s(x:S)) -> ttrue | eq(even(x:S),ttrue) ->* eq(T,T) 100.81/100.98 100.81/100.98 Conditional Termination Problem 2: 100.81/100.98 -> Pairs: 100.81/100.98 EVEN(s(x:S)) -> EQ(odd(x:S),ffalse) 100.81/100.98 EVEN(s(x:S)) -> EQ(odd(x:S),ttrue) 100.81/100.98 EVEN(s(x:S)) -> ODD(x:S) 100.81/100.98 ODD(s(x:S)) -> EQ(even(x:S),ffalse) 100.81/100.98 ODD(s(x:S)) -> EQ(even(x:S),ttrue) 100.81/100.98 ODD(s(x:S)) -> EVEN(x:S) 100.81/100.98 -> QPairs: 100.81/100.98 EQ(x:S,x:S) -> EQ(T,T) 100.81/100.98 -> Rules: 100.81/100.98 eq(x:S,x:S) -> eq(T,T) 100.81/100.98 even(0) -> ttrue 100.81/100.98 even(s(x:S)) -> ffalse | eq(odd(x:S),ffalse) ->* eq(T,T) 100.81/100.98 even(s(x:S)) -> ttrue | eq(odd(x:S),ttrue) ->* eq(T,T) 100.81/100.98 odd(0) -> ffalse 100.81/100.98 odd(s(x:S)) -> ffalse | eq(even(x:S),ffalse) ->* eq(T,T) 100.81/100.98 odd(s(x:S)) -> ttrue | eq(even(x:S),ttrue) ->* eq(T,T) 100.81/100.98 100.81/100.98 Problem 1: 100.81/100.98 100.81/100.98 SCC Processor: 100.81/100.98 -> Pairs: 100.81/100.98 EQ(x:S,x:S) -> EQ(T,T) 100.81/100.98 -> QPairs: 100.81/100.98 Empty 100.81/100.98 -> Rules: 100.81/100.98 eq(x:S,x:S) -> eq(T,T) 100.81/100.98 even(0) -> ttrue 100.81/100.98 even(s(x:S)) -> ffalse | eq(odd(x:S),ffalse) ->* eq(T,T) 100.81/100.98 even(s(x:S)) -> ttrue | eq(odd(x:S),ttrue) ->* eq(T,T) 100.81/100.98 odd(0) -> ffalse 100.81/100.98 odd(s(x:S)) -> ffalse | eq(even(x:S),ffalse) ->* eq(T,T) 100.81/100.98 odd(s(x:S)) -> ttrue | eq(even(x:S),ttrue) ->* eq(T,T) 100.81/100.98 ->Strongly Connected Components: 100.81/100.98 ->->Cycle: 100.81/100.98 ->->-> Pairs: 100.81/100.98 EQ(x:S,x:S) -> EQ(T,T) 100.81/100.98 -> QPairs: 100.81/100.98 Empty 100.81/100.98 ->->-> Rules: 100.81/100.98 eq(x:S,x:S) -> eq(T,T) 100.81/100.98 even(0) -> ttrue 100.81/100.98 even(s(x:S)) -> ffalse | eq(odd(x:S),ffalse) ->* eq(T,T) 100.81/100.98 even(s(x:S)) -> ttrue | eq(odd(x:S),ttrue) ->* eq(T,T) 100.81/100.98 odd(0) -> ffalse 100.81/100.98 odd(s(x:S)) -> ffalse | eq(even(x:S),ffalse) ->* eq(T,T) 100.81/100.98 odd(s(x:S)) -> ttrue | eq(even(x:S),ttrue) ->* eq(T,T) 100.81/100.98 100.81/100.98 Problem 1: 100.81/100.98 100.81/100.98 Infinite Processor: 100.81/100.98 -> Pairs: 100.81/100.98 EQ(x:S,x:S) -> EQ(T,T) 100.81/100.98 -> QPairs:
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