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TRS Standard pair #516964873
details
property
value
status
complete
benchmark
21.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n143.star.cs.uiowa.edu
space
Applicative_first_order_05
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.118135929108 seconds
cpu usage
0.142289473
max memory
1.4921728E7
stage attributes
key
value
output-size
8031
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: app(p(),app(s(),x)) -> x 2: app(fact(),0()) -> app(s(),0()) 3: app(fact(),app(s(),x)) -> app(app(*(),app(s(),x)),app(fact(),app(p(),app(s(),x)))) 4: app(app(*(),0()),y) -> 0() 5: app(app(*(),app(s(),x)),y) -> app(app(+(),app(app(*(),x),y)),y) 6: app(app(+(),x),0()) -> x 7: app(app(+(),x),app(s(),y)) -> app(s(),app(app(+(),x),y)) 8: app(app(map(),f),nil()) -> nil() 9: app(app(map(),f),app(app(cons(),x),xs)) -> app(app(cons(),app(f,x)),app(app(map(),f),xs)) 10: app(app(filter(),f),nil()) -> nil() 11: app(app(filter(),f),app(app(cons(),x),xs)) -> app(app(app(app(filter2(),app(f,x)),f),x),xs) 12: app(app(app(app(filter2(),true()),f),x),xs) -> app(app(cons(),x),app(app(filter(),f),xs)) 13: app(app(app(app(filter2(),false()),f),x),xs) -> app(app(filter(),f),xs) Number of strict rules: 13 Direct poly ... failed. Freezing app 1: app❆1_p(app❆1_s(x)) -> x 2: app❆1_fact(0()) -> app❆1_s(0()) 3: app❆1_fact(app❆1_s(x)) -> app❆2_*(app❆1_s(x),app❆1_fact(app❆1_p(app❆1_s(x)))) 4: app❆2_*(0(),y) -> 0() 5: app❆2_*(app❆1_s(x),y) -> app❆2_+(app❆2_*(x,y),y) 6: app❆2_+(x,0()) -> x 7: app❆2_+(x,app❆1_s(y)) -> app❆1_s(app❆2_+(x,y)) 8: app❆2_map(f,nil()) -> nil() 9: app❆2_map(f,app❆2_cons(x,xs)) -> app❆2_cons(app(f,x),app❆2_map(f,xs)) 10: app❆2_filter(f,nil()) -> nil() 11: app❆2_filter(f,app❆2_cons(x,xs)) -> app❆4_filter2(app(f,x),f,x,xs) 12: app❆4_filter2(true(),f,x,xs) -> app❆2_cons(x,app❆2_filter(f,xs)) 13: app❆4_filter2(false(),f,x,xs) -> app❆2_filter(f,xs) 14: app(p(),_1) ->= app❆1_p(_1) 15: app(cons(),_1) ->= app❆1_cons(_1) 16: app(app❆1_cons(_1),_2) ->= app❆2_cons(_1,_2) 17: app(s(),_1) ->= app❆1_s(_1) 18: app(filter(),_1) ->= app❆1_filter(_1) 19: app(app❆1_filter(_1),_2) ->= app❆2_filter(_1,_2) 20: app(fact(),_1) ->= app❆1_fact(_1) 21: app(+(),_1) ->= app❆1_+(_1) 22: app(app❆1_+(_1),_2) ->= app❆2_+(_1,_2) 23: app(map(),_1) ->= app❆1_map(_1) 24: app(app❆1_map(_1),_2) ->= app❆2_map(_1,_2) 25: app(filter2(),_1) ->= app❆1_filter2(_1) 26: app(app❆1_filter2(_1),_2) ->= app❆2_filter2(_1,_2) 27: app(app❆2_filter2(_1,_2),_3) ->= app❆3_filter2(_1,_2,_3) 28: app(app❆3_filter2(_1,_2,_3),_4) ->= app❆4_filter2(_1,_2,_3,_4) 29: app(*(),_1) ->= app❆1_*(_1) 30: app(app❆1_*(_1),_2) ->= app❆2_*(_1,_2) Number of strict rules: 13 Direct poly ... failed. Dependency Pairs: #1: #app❆4_filter2(false(),f,x,xs) -> #app❆2_filter(f,xs) #2: #app❆2_map(f,app❆2_cons(x,xs)) -> #app(f,x) #3: #app❆2_map(f,app❆2_cons(x,xs)) -> #app❆2_map(f,xs) #4: #app❆2_filter(f,app❆2_cons(x,xs)) -> #app❆4_filter2(app(f,x),f,x,xs) #5: #app❆2_filter(f,app❆2_cons(x,xs)) -> #app(f,x) #6: #app(app❆1_map(_1),_2) ->? #app❆2_map(_1,_2) #7: #app❆4_filter2(true(),f,x,xs) -> #app❆2_filter(f,xs) #8: #app(p(),_1) ->? #app❆1_p(_1) #9: #app(app❆1_*(_1),_2) ->? #app❆2_*(_1,_2) #10: #app(fact(),_1) ->? #app❆1_fact(_1) #11: #app❆2_+(x,app❆1_s(y)) -> #app❆2_+(x,y) #12: #app❆2_*(app❆1_s(x),y) -> #app❆2_+(app❆2_*(x,y),y) #13: #app❆2_*(app❆1_s(x),y) -> #app❆2_*(x,y) #14: #app(app❆3_filter2(_1,_2,_3),_4) ->? #app❆4_filter2(_1,_2,_3,_4) #15: #app(app❆1_+(_1),_2) ->? #app❆2_+(_1,_2) #16: #app(app❆1_filter(_1),_2) ->? #app❆2_filter(_1,_2) #17: #app❆1_fact(app❆1_s(x)) -> #app❆2_*(app❆1_s(x),app❆1_fact(app❆1_p(app❆1_s(x)))) #18: #app❆1_fact(app❆1_s(x)) -> #app❆1_fact(app❆1_p(app❆1_s(x))) #19: #app❆1_fact(app❆1_s(x)) -> #app❆1_p(app❆1_s(x)) Number of SCCs: 4, DPs: 12 SCC { #18 } Sum... Max... QLPOpS... NegMaxSum... succeeded. #app❆2_map(x1,x2) w: (0) s() w: (0) app❆1_map(x1) w: (0) #app❆1_p(x1) w: (0) app❆4_filter2(x1,x2,x3,x4) w: (0) app❆2_*(x1,x2) w: (0) app❆2_map(x1,x2) w: (0) false() w: (0) app❆1_fact(x1) w: (0) app❆1_p(x1) w: (max{0, -2 + x1}) true() w: (0) filter2() w: (0) app❆2_filter(x1,x2) w: (0) p() w: (0) 0() w: (0) app❆2_+(x1,x2) w: (0) nil() w: (0) fact() w: (0) app❆1_filter(x1) w: (0) #app(x1,x2) w: (0) map() w: (0)
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