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TRS Standard pair #516967403
details
property
value
status
complete
benchmark
Ex7_9.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n007.star.cs.uiowa.edu
space
Applicative_05
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.141576051712 seconds
cpu usage
0.091110971
max memory
1.0375168E7
stage attributes
key
value
output-size
8110
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(app(app(if(),true()),xs),ys) -> xs 2: app(app(app(if(),false()),xs),ys) -> ys 3: app(app(sub(),x),0()) -> x 4: app(app(sub(),app(s(),x)),app(s(),y)) -> app(app(sub(),x),y) 5: app(app(gtr(),0()),y) -> false() 6: app(app(gtr(),app(s(),x)),0()) -> true() 7: app(app(gtr(),app(s(),x)),app(s(),y)) -> app(app(gtr(),x),y) 8: app(app(d(),x),0()) -> true() 9: app(app(d(),app(s(),x)),app(s(),y)) -> app(app(app(if(),app(app(gtr(),x),y)),false()),app(app(d(),app(s(),x)),app(app(sub(),y),x))) 10: app(len(),nil()) -> 0() 11: app(len(),app(app(cons(),x),xs)) -> app(s(),app(len(),xs)) 12: app(app(filter(),p),nil()) -> nil() 13: app(app(filter(),p),app(app(cons(),x),xs)) -> app(app(app(if(),app(p,x)),app(app(cons(),x),app(app(filter(),p),xs))),app(app(filter(),p),xs)) Number of strict rules: 13 Direct poly ... failed. Freezing app 1: app❆3_if(true(),xs,ys) -> xs 2: app❆3_if(false(),xs,ys) -> ys 3: app❆2_sub(x,0()) -> x 4: app❆2_sub(app❆1_s(x),app❆1_s(y)) -> app❆2_sub(x,y) 5: app❆2_gtr(0(),y) -> false() 6: app❆2_gtr(app❆1_s(x),0()) -> true() 7: app❆2_gtr(app❆1_s(x),app❆1_s(y)) -> app❆2_gtr(x,y) 8: app❆2_d(x,0()) -> true() 9: app❆2_d(app❆1_s(x),app❆1_s(y)) -> app❆3_if(app❆2_gtr(x,y),false(),app❆2_d(app❆1_s(x),app❆2_sub(y,x))) 10: app❆1_len(nil()) -> 0() 11: app❆1_len(app❆2_cons(x,xs)) -> app❆1_s(app❆1_len(xs)) 12: app❆2_filter(p,nil()) -> nil() 13: app❆2_filter(p,app❆2_cons(x,xs)) -> app❆3_if(app(p,x),app❆2_cons(x,app❆2_filter(p,xs)),app❆2_filter(p,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(d(),_1) ->= app❆1_d(_1) 20: app(app❆1_d(_1),_2) ->= app❆2_d(_1,_2) 21: app(s(),_1) ->= app❆1_s(_1) 22: app(filter(),_1) ->= app❆1_filter(_1) 23: app(app❆1_filter(_1),_2) ->= app❆2_filter(_1,_2) 24: app(gtr(),_1) ->= app❆1_gtr(_1) 25: app(app❆1_gtr(_1),_2) ->= app❆2_gtr(_1,_2) 26: app(len(),_1) ->= app❆1_len(_1) 27: app(sub(),_1) ->= app❆1_sub(_1) 28: app(app❆1_sub(_1),_2) ->= app❆2_sub(_1,_2) Number of strict rules: 13 Direct poly ... failed. Dependency Pairs: #1: #app❆2_filter(p,app❆2_cons(x,xs)) -> #app❆3_if(app(p,x),app❆2_cons(x,app❆2_filter(p,xs)),app❆2_filter(p,xs)) #2: #app❆2_filter(p,app❆2_cons(x,xs)) -> #app(p,x) #3: #app❆2_filter(p,app❆2_cons(x,xs)) -> #app❆2_filter(p,xs) #4: #app❆2_filter(p,app❆2_cons(x,xs)) -> #app❆2_filter(p,xs) #5: #app❆2_d(app❆1_s(x),app❆1_s(y)) -> #app❆3_if(app❆2_gtr(x,y),false(),app❆2_d(app❆1_s(x),app❆2_sub(y,x))) #6: #app❆2_d(app❆1_s(x),app❆1_s(y)) -> #app❆2_gtr(x,y) #7: #app❆2_d(app❆1_s(x),app❆1_s(y)) -> #app❆2_d(app❆1_s(x),app❆2_sub(y,x)) #8: #app❆2_d(app❆1_s(x),app❆1_s(y)) -> #app❆2_sub(y,x) #9: #app❆1_len(app❆2_cons(x,xs)) -> #app❆1_len(xs) #10: #app(app❆1_filter(_1),_2) ->? #app❆2_filter(_1,_2) #11: #app(app❆1_gtr(_1),_2) ->? #app❆2_gtr(_1,_2) #12: #app(app❆1_d(_1),_2) ->? #app❆2_d(_1,_2) #13: #app❆2_gtr(app❆1_s(x),app❆1_s(y)) -> #app❆2_gtr(x,y) #14: #app(app❆1_sub(_1),_2) ->? #app❆2_sub(_1,_2) #15: #app(len(),_1) ->? #app❆1_len(_1) #16: #app(app❆2_if(_1,_2),_3) ->? #app❆3_if(_1,_2,_3) #17: #app❆2_sub(app❆1_s(x),app❆1_s(y)) -> #app❆2_sub(x,y) Number of SCCs: 5, DPs: 8 SCC { #9 } Sum... succeeded. d() w: (0) s() w: (0) app❆1_gtr(x1) w: (0) app❆1_if(x1) w: (0) app❆1_d(x1) w: (0) #app❆3_if(x1,x2,x3) w: (0) false() w: (0) app❆1_sub(x1) w: (0) app❆2_if(x1,x2) w: (0) gtr() w: (0) sub() w: (0) #app❆1_len(x1) w: (x1) true() w: (0) app❆2_filter(x1,x2) w: (0) #app❆2_d(x1,x2) w: (0) if() w: (0) 0() w: (0) nil() w: (0) app❆2_gtr(x1,x2) w: (0) app❆1_filter(x1) w: (0) app❆3_if(x1,x2,x3) w: (0) #app(x1,x2) w: (0) #app❆2_gtr(x1,x2) w: (0) #app❆2_filter(x1,x2) w: (0) app❆1_len(x1) w: (0)
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