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TRS Standard pair #516964918
details
property
value
status
complete
benchmark
06.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n137.star.cs.uiowa.edu
space
Applicative_first_order_05
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.108165025711 seconds
cpu usage
0.06563074
max memory
1.1411456E7
stage attributes
key
value
output-size
4220
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(f(),app(g(),x)) -> app(g(),app(g(),app(f(),x))) 2: app(f(),app(g(),x)) -> app(g(),app(g(),app(g(),x))) 3: app(app(map(),fun),nil()) -> nil() 4: app(app(map(),fun),app(app(cons(),x),xs)) -> app(app(cons(),app(fun,x)),app(app(map(),fun),xs)) 5: app(app(filter(),fun),nil()) -> nil() 6: app(app(filter(),fun),app(app(cons(),x),xs)) -> app(app(app(app(filter2(),app(fun,x)),fun),x),xs) 7: app(app(app(app(filter2(),true()),fun),x),xs) -> app(app(cons(),x),app(app(filter(),fun),xs)) 8: app(app(app(app(filter2(),false()),fun),x),xs) -> app(app(filter(),fun),xs) Number of strict rules: 8 Direct poly ... failed. Freezing app 1: app❆1_f(app❆1_g(x)) -> app❆1_g(app❆1_g(app❆1_f(x))) 2: app❆1_f(app❆1_g(x)) -> app❆1_g(app❆1_g(app❆1_g(x))) 3: app❆2_map(fun,nil()) -> nil() 4: app❆2_map(fun,app❆2_cons(x,xs)) -> app❆2_cons(app(fun,x),app❆2_map(fun,xs)) 5: app❆2_filter(fun,nil()) -> nil() 6: app❆2_filter(fun,app❆2_cons(x,xs)) -> app❆4_filter2(app(fun,x),fun,x,xs) 7: app❆4_filter2(true(),fun,x,xs) -> app❆2_cons(x,app❆2_filter(fun,xs)) 8: app❆4_filter2(false(),fun,x,xs) -> app❆2_filter(fun,xs) 9: app(cons(),_1) ->= app❆1_cons(_1) 10: app(app❆1_cons(_1),_2) ->= app❆2_cons(_1,_2) 11: app(filter(),_1) ->= app❆1_filter(_1) 12: app(app❆1_filter(_1),_2) ->= app❆2_filter(_1,_2) 13: app(map(),_1) ->= app❆1_map(_1) 14: app(app❆1_map(_1),_2) ->= app❆2_map(_1,_2) 15: app(g(),_1) ->= app❆1_g(_1) 16: app(f(),_1) ->= app❆1_f(_1) 17: app(filter2(),_1) ->= app❆1_filter2(_1) 18: app(app❆1_filter2(_1),_2) ->= app❆2_filter2(_1,_2) 19: app(app❆2_filter2(_1,_2),_3) ->= app❆3_filter2(_1,_2,_3) 20: app(app❆3_filter2(_1,_2,_3),_4) ->= app❆4_filter2(_1,_2,_3,_4) Number of strict rules: 8 Direct poly ... failed. Dependency Pairs: #1: #app❆2_filter(fun,app❆2_cons(x,xs)) -> #app❆4_filter2(app(fun,x),fun,x,xs) #2: #app❆2_filter(fun,app❆2_cons(x,xs)) -> #app(fun,x) #3: #app(app❆1_filter(_1),_2) ->? #app❆2_filter(_1,_2) #4: #app(app❆1_map(_1),_2) ->? #app❆2_map(_1,_2) #5: #app(app❆3_filter2(_1,_2,_3),_4) ->? #app❆4_filter2(_1,_2,_3,_4) #6: #app❆4_filter2(true(),fun,x,xs) -> #app❆2_filter(fun,xs) #7: #app(f(),_1) ->? #app❆1_f(_1) #8: #app❆1_f(app❆1_g(x)) -> #app❆1_f(x) #9: #app❆4_filter2(false(),fun,x,xs) -> #app❆2_filter(fun,xs) #10: #app❆2_map(fun,app❆2_cons(x,xs)) -> #app(fun,x) #11: #app❆2_map(fun,app❆2_cons(x,xs)) -> #app❆2_map(fun,xs) Number of SCCs: 2, DPs: 9 SCC { #8 } Sum... succeeded. #app❆2_map(x1,x2) w: (0) app❆1_map(x1) w: (0) app❆4_filter2(x1,x2,x3,x4) w: (0) app❆2_map(x1,x2) w: (0) false() w: (0) true() w: (0) f() w: (0) filter2() w: (0) app❆2_filter(x1,x2) w: (0) app❆1_f(x1) w: (0) nil() w: (0) app❆1_filter(x1) w: (0) #app(x1,x2) w: (0) map() w: (0) #app❆4_filter2(x1,x2,x3,x4) w: (0) app❆2_filter2(x1,x2) w: (0) #app❆2_filter(x1,x2) w: (0) cons() w: (0) app❆2_cons(x1,x2) w: (0) #app❆1_f(x1) w: (x1) filter() w: (0) app❆1_g(x1) w: (1 + x1) app❆1_filter2(x1) w: (0) app❆1_cons(x1) w: (0) app❆3_filter2(x1,x2,x3) w: (0) g() w: (0) app(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #8 Number of SCCs: 1, DPs: 8 SCC { #2..6 #9..11 } Sum... succeeded. #app❆2_map(x1,x2) w: (x2) app❆1_map(x1) w: (1) app❆4_filter2(x1,x2,x3,x4) w: (0) app❆2_map(x1,x2) w: (0) false() w: (1) true() w: (1) f() w: (0) filter2() w: (0) app❆2_filter(x1,x2) w: (0) app❆1_f(x1) w: (0) nil() w: (0) app❆1_filter(x1) w: (1)
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