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TRS Standard pair #516967288
details
property
value
status
complete
benchmark
Ex8Polymorphic.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n061.star.cs.uiowa.edu
space
Applicative_05
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.115077972412 seconds
cpu usage
0.061855125
max memory
9408512.0
stage attributes
key
value
output-size
3076
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 Input TRS: 1: app(app(twice(),f),x) -> app(f,app(f,x)) 2: app(app(map(),f),nil()) -> nil() 3: app(app(map(),f),app(app(cons(),h),t)) -> app(app(cons(),app(f,h)),app(app(map(),f),t)) 4: app(app(fmap(),nil()),x) -> nil() 5: app(app(fmap(),app(app(cons(),f),t_f())),x) -> app(app(cons(),app(f,x)),app(app(fmap(),t_f()),x)) Number of strict rules: 5 Direct poly ... failed. Freezing app 1: app❆2_twice(f,x) -> app(f,app(f,x)) 2: app❆2_map(f,nil()) -> nil() 3: app❆2_map(f,app❆2_cons(h,t)) -> app❆2_cons(app(f,h),app❆2_map(f,t)) 4: app❆2_fmap(nil(),x) -> nil() 5: app❆2_fmap(app❆2_cons(f,t_f()),x) -> app❆2_cons(app(f,x),app❆2_fmap(t_f(),x)) 6: app(fmap(),_1) ->= app❆1_fmap(_1) 7: app(app❆1_fmap(_1),_2) ->= app❆2_fmap(_1,_2) 8: app(cons(),_1) ->= app❆1_cons(_1) 9: app(app❆1_cons(_1),_2) ->= app❆2_cons(_1,_2) 10: app(twice(),_1) ->= app❆1_twice(_1) 11: app(app❆1_twice(_1),_2) ->= app❆2_twice(_1,_2) 12: app(map(),_1) ->= app❆1_map(_1) 13: app(app❆1_map(_1),_2) ->= app❆2_map(_1,_2) Number of strict rules: 5 Direct poly ... failed. Dependency Pairs: #1: #app(app❆1_map(_1),_2) ->? #app❆2_map(_1,_2) #2: #app(app❆1_twice(_1),_2) ->? #app❆2_twice(_1,_2) #3: #app(app❆1_fmap(_1),_2) ->? #app❆2_fmap(_1,_2) #4: #app❆2_fmap(app❆2_cons(f,t_f()),x) -> #app(f,x) #5: #app❆2_fmap(app❆2_cons(f,t_f()),x) -> #app❆2_fmap(t_f(),x) #6: #app❆2_map(f,app❆2_cons(h,t)) -> #app(f,h) #7: #app❆2_map(f,app❆2_cons(h,t)) -> #app❆2_map(f,t) #8: #app❆2_twice(f,x) -> #app(f,app(f,x)) #9: #app❆2_twice(f,x) -> #app(f,x) Number of SCCs: 1, DPs: 8 SCC { #1..4 #6..9 } Sum... succeeded. #app❆2_map(x1,x2) w: (1043 + x1) t_f() w: (1) app❆2_fmap(x1,x2) w: (8857 + x2 + x1) #app❆2_twice(x1,x2) w: (1043 + x1) app❆1_map(x1) w: (2 + x1) twice() w: (1) app❆1_fmap(x1) w: (2 + x1) app❆2_map(x1,x2) w: (11799 + x2) app❆2_twice(x1,x2) w: (2 + x2 + x1) fmap() w: (1) #app❆2_fmap(x1,x2) w: (1 + x1) nil() w: (1) #app(x1,x2) w: (1042 + x1) map() w: (1) cons() w: (1) app❆2_cons(x1,x2) w: (2439 + x2 + x1) app❆1_cons(x1) w: (2) app❆1_twice(x1) w: (2 + x1) app(x1,x2) w: (1) USABLE RULES: { } Removed DPs: #1..4 #6 #8 #9 Number of SCCs: 1, DPs: 1 SCC { #7 } Sum... succeeded. #app❆2_map(x1,x2) w: (1043 + x2) t_f() w: (30690) app❆2_fmap(x1,x2) w: (10452 + x2 + x1) #app❆2_twice(x1,x2) w: (1043) app❆1_map(x1) w: (2 + x1) twice() w: (1) app❆1_fmap(x1) w: (2 + x1) app❆2_map(x1,x2) w: (11799 + x2) app❆2_twice(x1,x2) w: (2 + x2 + x1) fmap() w: (1) #app❆2_fmap(x1,x2) w: (1) nil() w: (1) #app(x1,x2) w: (1042) map() w: (1) cons() w: (1) app❆2_cons(x1,x2) w: (2 + x2 + x1) app❆1_cons(x1) w: (2) app❆1_twice(x1) w: (2 + x1) app(x1,x2) w: (1) USABLE RULES: { } Removed DPs: #7 Number of SCCs: 0, DPs: 0
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