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TRS Standard pair #516964893
details
property
value
status
complete
benchmark
perfect.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n174.star.cs.uiowa.edu
space
Applicative_first_order_05
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.0921280384064 seconds
cpu usage
0.101561132
max memory
1.4532608E7
stage attributes
key
value
output-size
6880
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(perfectp(),0()) -> false() 2: app(perfectp(),app(s(),x)) -> app(app(app(app(f(),x),app(s(),0())),app(s(),x)),app(s(),x)) 3: app(app(app(app(f(),0()),y),0()),u) -> true() 4: app(app(app(app(f(),0()),y),app(s(),z)),u) -> false() 5: app(app(app(app(f(),app(s(),x)),0()),z),u) -> app(app(app(app(f(),x),u),app(app(minus(),z),app(s(),x))),u) 6: app(app(app(app(f(),app(s(),x)),app(s(),y)),z),u) -> app(app(app(if(),app(app(le(),x),y)),app(app(app(app(f(),app(s(),x)),app(app(minus(),y),x)),z),u)),app(app(app(app(f(),x),u),z),u)) 7: app(app(map(),fun),nil()) -> nil() 8: app(app(map(),fun),app(app(cons(),x),xs)) -> app(app(cons(),app(fun,x)),app(app(map(),fun),xs)) 9: app(app(filter(),fun),nil()) -> nil() 10: app(app(filter(),fun),app(app(cons(),x),xs)) -> app(app(app(app(filter2(),app(fun,x)),fun),x),xs) 11: app(app(app(app(filter2(),true()),fun),x),xs) -> app(app(cons(),x),app(app(filter(),fun),xs)) 12: app(app(app(app(filter2(),false()),fun),x),xs) -> app(app(filter(),fun),xs) Number of strict rules: 12 Direct poly ... failed. Freezing app 1: app❆1_perfectp(0()) -> false() 2: app❆1_perfectp(app❆1_s(x)) -> app❆4_f(x,app❆1_s(0()),app❆1_s(x),app❆1_s(x)) 3: app❆4_f(0(),y,0(),u) -> true() 4: app❆4_f(0(),y,app❆1_s(z),u) -> false() 5: app❆4_f(app❆1_s(x),0(),z,u) -> app❆4_f(x,u,app❆2_minus(z,app❆1_s(x)),u) 6: app❆4_f(app❆1_s(x),app❆1_s(y),z,u) -> app❆3_if(app❆2_le(x,y),app❆4_f(app❆1_s(x),app❆2_minus(y,x),z,u),app❆4_f(x,u,z,u)) 7: app❆2_map(fun,nil()) -> nil() 8: app❆2_map(fun,app❆2_cons(x,xs)) -> app❆2_cons(app(fun,x),app❆2_map(fun,xs)) 9: app❆2_filter(fun,nil()) -> nil() 10: app❆2_filter(fun,app❆2_cons(x,xs)) -> app❆4_filter2(app(fun,x),fun,x,xs) 11: app❆4_filter2(true(),fun,x,xs) -> app❆2_cons(x,app❆2_filter(fun,xs)) 12: app❆4_filter2(false(),fun,x,xs) -> app❆2_filter(fun,xs) 13: app(le(),_1) ->= app❆1_le(_1) 14: app(app❆1_le(_1),_2) ->= app❆2_le(_1,_2) 15: app(if(),_1) ->= app❆1_if(_1) 16: app(app❆1_if(_1),_2) ->= app❆2_if(_1,_2) 17: app(app❆2_if(_1,_2),_3) ->= app❆3_if(_1,_2,_3) 18: app(cons(),_1) ->= app❆1_cons(_1) 19: app(app❆1_cons(_1),_2) ->= app❆2_cons(_1,_2) 20: app(s(),_1) ->= app❆1_s(_1) 21: app(filter(),_1) ->= app❆1_filter(_1) 22: app(app❆1_filter(_1),_2) ->= app❆2_filter(_1,_2) 23: app(perfectp(),_1) ->= app❆1_perfectp(_1) 24: app(map(),_1) ->= app❆1_map(_1) 25: app(app❆1_map(_1),_2) ->= app❆2_map(_1,_2) 26: app(minus(),_1) ->= app❆1_minus(_1) 27: app(app❆1_minus(_1),_2) ->= app❆2_minus(_1,_2) 28: app(f(),_1) ->= app❆1_f(_1) 29: app(app❆1_f(_1),_2) ->= app❆2_f(_1,_2) 30: app(app❆2_f(_1,_2),_3) ->= app❆3_f(_1,_2,_3) 31: app(app❆3_f(_1,_2,_3),_4) ->= app❆4_f(_1,_2,_3,_4) 32: app(filter2(),_1) ->= app❆1_filter2(_1) 33: app(app❆1_filter2(_1),_2) ->= app❆2_filter2(_1,_2) 34: app(app❆2_filter2(_1,_2),_3) ->= app❆3_filter2(_1,_2,_3) 35: app(app❆3_filter2(_1,_2,_3),_4) ->= app❆4_filter2(_1,_2,_3,_4) Number of strict rules: 12 Direct poly ... failed. Dependency Pairs: #1: #app❆1_perfectp(app❆1_s(x)) -> #app❆4_f(x,app❆1_s(0()),app❆1_s(x),app❆1_s(x)) #2: #app(app❆3_filter2(_1,_2,_3),_4) ->? #app❆4_filter2(_1,_2,_3,_4) #3: #app❆4_f(app❆1_s(x),app❆1_s(y),z,u) -> #app❆4_f(app❆1_s(x),app❆2_minus(y,x),z,u) #4: #app❆4_f(app❆1_s(x),app❆1_s(y),z,u) -> #app❆4_f(x,u,z,u) #5: #app❆4_filter2(true(),fun,x,xs) -> #app❆2_filter(fun,xs) #6: #app(perfectp(),_1) ->? #app❆1_perfectp(_1) #7: #app❆4_filter2(false(),fun,x,xs) -> #app❆2_filter(fun,xs) #8: #app(app❆3_f(_1,_2,_3),_4) ->? #app❆4_f(_1,_2,_3,_4) #9: #app(app❆1_map(_1),_2) ->? #app❆2_map(_1,_2) #10: #app❆2_filter(fun,app❆2_cons(x,xs)) -> #app❆4_filter2(app(fun,x),fun,x,xs) #11: #app❆2_filter(fun,app❆2_cons(x,xs)) -> #app(fun,x) #12: #app❆4_f(app❆1_s(x),0(),z,u) -> #app❆4_f(x,u,app❆2_minus(z,app❆1_s(x)),u) #13: #app(app❆1_filter(_1),_2) ->? #app❆2_filter(_1,_2) #14: #app❆2_map(fun,app❆2_cons(x,xs)) -> #app(fun,x) #15: #app❆2_map(fun,app❆2_cons(x,xs)) -> #app❆2_map(fun,xs) Number of SCCs: 2, DPs: 11 SCC { #4 #12 } Sum... succeeded. app❆2_minus(x1,x2) w: (1) le() w: (0) app❆1_le(x1) w: (0) #app❆2_map(x1,x2) w: (0) app❆4_f(x1,x2,x3,x4) w: (0) s() w: (0) app❆1_map(x1) w: (0) app❆1_minus(x1) w: (0) app❆1_if(x1) w: (0) app❆2_f(x1,x2) w: (0) minus() w: (0) app❆4_filter2(x1,x2,x3,x4) w: (0) app❆2_map(x1,x2) w: (0) false() 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) #app❆1_perfectp(x1) w: (0) app❆2_le(x1,x2) w: (0)
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