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TRS Stand 20472 pair #381714216
details
property
value
status
complete
benchmark
thiemann35.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n105.star.cs.uiowa.edu
space
AProVE_07
run statistics
property
value
solver
NaTT
configuration
Default
runtime (wallclock)
0.110442876816 seconds
cpu usage
0.101162201
max memory
9707520.0
stage attributes
key
value
output-size
6086
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: a(a(append(),nil()),ys) -> ys 2: a(a(append(),a(a(cons(),x),xs)),ys) -> a(a(cons(),x),a(a(append(),xs),ys)) 3: a(a(filter(),f),nil()) -> nil() 4: a(a(filter(),f),a(a(cons(),x),xs)) -> a(a(a(if(),a(f,x)),x),a(a(filter(),f),xs)) 5: a(a(le(),0()),y) -> true() 6: a(a(le(),a(s(),x)),0()) -> false() 7: a(a(le(),a(s(),x)),a(s(),y)) -> a(a(le(),x),y) 8: a(a(a(if(),true()),x),xs) -> a(a(cons(),x),xs) 9: a(a(a(if(),false()),x),xs) -> xs 10: a(a(not(),f),b) -> a(not2(),a(f,b)) 11: a(not2(),true()) -> false() 12: a(not2(),false()) -> true() 13: a(qs(),nil()) -> nil() 14: a(qs(),a(a(cons(),x),xs)) -> a(a(append(),a(qs(),a(a(filter(),a(le(),x)),xs))),a(a(cons(),x),a(qs(),a(a(filter(),a(not(),a(le(),x))),xs)))) Number of strict rules: 14 Direct POLO(bPol) ... failed. Uncurrying a 1: a^2_append(nil(),ys) -> ys 2: a^2_append(a^2_cons(x,xs),ys) -> a^2_cons(x,a^2_append(xs,ys)) 3: a^2_filter(f,nil()) -> nil() 4: a^2_filter(f,a^2_cons(x,xs)) -> a^3_if(a(f,x),x,a^2_filter(f,xs)) 5: a^2_le(0(),y) -> true() 6: a^2_le(a^1_s(x),0()) -> false() 7: a^2_le(a^1_s(x),a^1_s(y)) -> a^2_le(x,y) 8: a^3_if(true(),x,xs) -> a^2_cons(x,xs) 9: a^3_if(false(),x,xs) -> xs 10: a^2_not(f,b) -> a^1_not2(a(f,b)) 11: a^1_not2(true()) -> false() 12: a^1_not2(false()) -> true() 13: a^1_qs(nil()) -> nil() 14: a^1_qs(a^2_cons(x,xs)) -> a^2_append(a^1_qs(a^2_filter(a^1_le(x),xs)),a^2_cons(x,a^1_qs(a^2_filter(a^1_not(a^1_le(x)),xs)))) 15: a(qs(),_1) ->= a^1_qs(_1) 16: a(le(),_1) ->= a^1_le(_1) 17: a(a^1_le(_1),_2) ->= a^2_le(_1,_2) 18: a(append(),_1) ->= a^1_append(_1) 19: a(a^1_append(_1),_2) ->= a^2_append(_1,_2) 20: a(if(),_1) ->= a^1_if(_1) 21: a(a^1_if(_1),_2) ->= a^2_if(_1,_2) 22: a(a^2_if(_1,_2),_3) ->= a^3_if(_1,_2,_3) 23: a(cons(),_1) ->= a^1_cons(_1) 24: a(a^1_cons(_1),_2) ->= a^2_cons(_1,_2) 25: a(s(),_1) ->= a^1_s(_1) 26: a(filter(),_1) ->= a^1_filter(_1) 27: a(a^1_filter(_1),_2) ->= a^2_filter(_1,_2) 28: a(not2(),_1) ->= a^1_not2(_1) 29: a(not(),_1) ->= a^1_not(_1) 30: a(a^1_not(_1),_2) ->= a^2_not(_1,_2) Number of strict rules: 14 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #a^2_append(a^2_cons(x,xs),ys) -> #a^2_append(xs,ys) #2: #a^1_qs(a^2_cons(x,xs)) -> #a^2_append(a^1_qs(a^2_filter(a^1_le(x),xs)),a^2_cons(x,a^1_qs(a^2_filter(a^1_not(a^1_le(x)),xs)))) #3: #a^1_qs(a^2_cons(x,xs)) -> #a^1_qs(a^2_filter(a^1_le(x),xs)) #4: #a^1_qs(a^2_cons(x,xs)) -> #a^2_filter(a^1_le(x),xs) #5: #a^1_qs(a^2_cons(x,xs)) -> #a^1_qs(a^2_filter(a^1_not(a^1_le(x)),xs)) #6: #a^1_qs(a^2_cons(x,xs)) -> #a^2_filter(a^1_not(a^1_le(x)),xs) #7: #a(a^1_not(_1),_2) ->? #a^2_not(_1,_2) #8: #a^2_le(a^1_s(x),a^1_s(y)) -> #a^2_le(x,y) #9: #a^2_not(f,b) -> #a^1_not2(a(f,b)) #10: #a^2_not(f,b) -> #a(f,b) #11: #a(not2(),_1) ->? #a^1_not2(_1) #12: #a(a^2_if(_1,_2),_3) ->? #a^3_if(_1,_2,_3) #13: #a(a^1_filter(_1),_2) ->? #a^2_filter(_1,_2) #14: #a(a^1_le(_1),_2) ->? #a^2_le(_1,_2) #15: #a(a^1_append(_1),_2) ->? #a^2_append(_1,_2) #16: #a(qs(),_1) ->? #a^1_qs(_1) #17: #a^2_filter(f,a^2_cons(x,xs)) -> #a^3_if(a(f,x),x,a^2_filter(f,xs)) #18: #a^2_filter(f,a^2_cons(x,xs)) -> #a(f,x) #19: #a^2_filter(f,a^2_cons(x,xs)) -> #a^2_filter(f,xs) Number of SCCs: 3, DPs: 12 SCC { #8 } POLO(Sum)... succeeded. a w: 0 le w: 0 a^1_qs w: 0 s w: 0 a^1_cons w: 0 #a^3_if w: 0 a^1_append w: 0 #a^2_le w: x2 a^1_if w: 0 #a^1_not2 w: 0 a^2_filter w: 0 false w: 0 #a^2_append w: 0 a^3_if w: 0 a^2_le w: 0 a^2_not w: 0 a^1_not w: 0 true w: 0 a^2_append w: 0 a^2_cons w: 0
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