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TRS Standard pair #516964878
details
property
value
status
complete
benchmark
#3.48.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n059.star.cs.uiowa.edu
space
Applicative_first_order_05
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.156591892242 seconds
cpu usage
0.10183176
max memory
1.1382784E7
stage attributes
key
value
output-size
7305
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(),0()) -> true() 2: app(f(),1()) -> false() 3: app(f(),app(s(),x)) -> app(f(),x) 4: app(app(app(if(),true()),app(s(),x)),app(s(),y)) -> app(s(),x) 5: app(app(app(if(),false()),app(s(),x)),app(s(),y)) -> app(s(),y) 6: app(app(g(),x),app(c(),y)) -> app(c(),app(app(g(),x),y)) 7: app(app(g(),x),app(c(),y)) -> app(app(g(),x),app(app(app(if(),app(f(),x)),app(c(),app(app(g(),app(s(),x)),y))),app(c(),y))) 8: app(app(map(),fun),nil()) -> nil() 9: app(app(map(),fun),app(app(cons(),x),xs)) -> app(app(cons(),app(fun,x)),app(app(map(),fun),xs)) 10: app(app(filter(),fun),nil()) -> nil() 11: app(app(filter(),fun),app(app(cons(),x),xs)) -> app(app(app(app(filter2(),app(fun,x)),fun),x),xs) 12: app(app(app(app(filter2(),true()),fun),x),xs) -> app(app(cons(),x),app(app(filter(),fun),xs)) 13: app(app(app(app(filter2(),false()),fun),x),xs) -> app(app(filter(),fun),xs) Number of strict rules: 13 Direct poly ... failed. Freezing app 1: app❆1_f(0()) -> true() 2: app❆1_f(1()) -> false() 3: app❆1_f(app❆1_s(x)) -> app❆1_f(x) 4: app❆3_if(true(),app❆1_s(x),app❆1_s(y)) -> app❆1_s(x) 5: app❆3_if(false(),app❆1_s(x),app❆1_s(y)) -> app❆1_s(y) 6: app❆2_g(x,app❆1_c(y)) -> app❆1_c(app❆2_g(x,y)) 7: app❆2_g(x,app❆1_c(y)) -> app❆2_g(x,app❆3_if(app❆1_f(x),app❆1_c(app❆2_g(app❆1_s(x),y)),app❆1_c(y))) 8: app❆2_map(fun,nil()) -> nil() 9: app❆2_map(fun,app❆2_cons(x,xs)) -> app❆2_cons(app(fun,x),app❆2_map(fun,xs)) 10: app❆2_filter(fun,nil()) -> nil() 11: app❆2_filter(fun,app❆2_cons(x,xs)) -> app❆4_filter2(app(fun,x),fun,x,xs) 12: app❆4_filter2(true(),fun,x,xs) -> app❆2_cons(x,app❆2_filter(fun,xs)) 13: app❆4_filter2(false(),fun,x,xs) -> app❆2_filter(fun,xs) 14: app(if(),_1) ->= app❆1_if(_1) 15: app(app❆1_if(_1),_2) ->= app❆2_if(_1,_2) 16: app(app❆2_if(_1,_2),_3) ->= app❆3_if(_1,_2,_3) 17: app(cons(),_1) ->= app❆1_cons(_1) 18: app(app❆1_cons(_1),_2) ->= app❆2_cons(_1,_2) 19: app(s(),_1) ->= app❆1_s(_1) 20: app(filter(),_1) ->= app❆1_filter(_1) 21: app(app❆1_filter(_1),_2) ->= app❆2_filter(_1,_2) 22: app(c(),_1) ->= app❆1_c(_1) 23: app(map(),_1) ->= app❆1_map(_1) 24: app(app❆1_map(_1),_2) ->= app❆2_map(_1,_2) 25: app(g(),_1) ->= app❆1_g(_1) 26: app(app❆1_g(_1),_2) ->= app❆2_g(_1,_2) 27: app(f(),_1) ->= app❆1_f(_1) 28: app(filter2(),_1) ->= app❆1_filter2(_1) 29: app(app❆1_filter2(_1),_2) ->= app❆2_filter2(_1,_2) 30: app(app❆2_filter2(_1,_2),_3) ->= app❆3_filter2(_1,_2,_3) 31: app(app❆3_filter2(_1,_2,_3),_4) ->= app❆4_filter2(_1,_2,_3,_4) Number of strict rules: 13 Direct poly ... failed. Dependency Pairs: #1: #app❆2_g(x,app❆1_c(y)) -> #app❆2_g(x,y) #2: #app❆4_filter2(false(),fun,x,xs) -> #app❆2_filter(fun,xs) #3: #app❆2_map(fun,app❆2_cons(x,xs)) -> #app(fun,x) #4: #app❆2_map(fun,app❆2_cons(x,xs)) -> #app❆2_map(fun,xs) #5: #app❆2_filter(fun,app❆2_cons(x,xs)) -> #app❆4_filter2(app(fun,x),fun,x,xs) #6: #app❆2_filter(fun,app❆2_cons(x,xs)) -> #app(fun,x) #7: #app(app❆1_map(_1),_2) ->? #app❆2_map(_1,_2) #8: #app❆4_filter2(true(),fun,x,xs) -> #app❆2_filter(fun,xs) #9: #app(app❆3_filter2(_1,_2,_3),_4) ->? #app❆4_filter2(_1,_2,_3,_4) #10: #app❆2_g(x,app❆1_c(y)) -> #app❆2_g(x,app❆3_if(app❆1_f(x),app❆1_c(app❆2_g(app❆1_s(x),y)),app❆1_c(y))) #11: #app❆2_g(x,app❆1_c(y)) -> #app❆3_if(app❆1_f(x),app❆1_c(app❆2_g(app❆1_s(x),y)),app❆1_c(y)) #12: #app❆2_g(x,app❆1_c(y)) -> #app❆1_f(x) #13: #app❆2_g(x,app❆1_c(y)) -> #app❆2_g(app❆1_s(x),y) #14: #app(f(),_1) ->? #app❆1_f(_1) #15: #app(app❆1_g(_1),_2) ->? #app❆2_g(_1,_2) #16: #app(app❆1_filter(_1),_2) ->? #app❆2_filter(_1,_2) #17: #app(app❆2_if(_1,_2),_3) ->? #app❆3_if(_1,_2,_3) #18: #app❆1_f(app❆1_s(x)) -> #app❆1_f(x) Number of SCCs: 3, DPs: 12 SCC { #18 } Sum... succeeded. 1() w: (0) #app❆2_map(x1,x2) w: (0) s() w: (0) app❆1_c(x1) w: (0) app❆1_map(x1) w: (0) app❆1_if(x1) w: (0) #app❆3_if(x1,x2,x3) w: (0) app❆4_filter2(x1,x2,x3,x4) w: (0) app❆2_map(x1,x2) w: (0) false() w: (0) c() w: (0) app❆2_if(x1,x2) w: (0) true() w: (0) f() w: (0) filter2() w: (0) app❆2_filter(x1,x2) w: (0) 0() w: (0) if() w: (0) app❆1_f(x1) w: (0) nil() w: (0) app❆1_filter(x1) w: (0)
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