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TRS Standard pair #516965263
details
property
value
status
complete
benchmark
emmes-nonloop-ex7_5.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n087.star.cs.uiowa.edu
space
EEG_IJCAR_12
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
18.8900289536 seconds
cpu usage
19.097669736
max memory
5.1994624E7
stage attributes
key
value
output-size
4686
starexec-result
MAYBE
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- MAYBE Input TRS: 1: f(true(),xs) -> f(eq(s(length(xs)),length(cons(a(),xs))),append(xs,cons(a(),nil()))) 2: length(nil()) -> 0() 3: length(cons(x,xs)) -> s(length(xs)) 4: eq(0(),0()) -> true() 5: eq(s(x),0()) -> false() 6: eq(0(),s(y)) -> false() 7: eq(s(x),s(y)) -> eq(x,y) 8: append(xs,ys) -> appendAkk(reverse(xs),ys) 9: appendAkk(nil(),ys) -> ys 10: appendAkk(cons(x,xs),ys) -> appendAkk(xs,cons(x,ys)) 11: reverse(nil()) -> nil() 12: reverse(cons(x,xs)) -> append(reverse(xs),cons(x,nil())) Number of strict rules: 12 Direct poly ... failed. Freezing length eq 1: f(true(),xs) -> f(eq❆1_s(length(xs),length❆1_cons(a(),xs)),append(xs,cons(a(),nil()))) 2: length❆1_nil() -> 0() 3: length❆1_cons(x,xs) -> s(length(xs)) 4: eq❆1_0(0()) -> true() 5: eq❆1_s(x,0()) -> false() 6: eq❆1_0(s(y)) -> false() 7: eq❆1_s(x,s(y)) -> eq(x,y) 8: append(xs,ys) -> appendAkk(reverse(xs),ys) 9: appendAkk(nil(),ys) -> ys 10: appendAkk(cons(x,xs),ys) -> appendAkk(xs,cons(x,ys)) 11: reverse(nil()) -> nil() 12: reverse(cons(x,xs)) -> append(reverse(xs),cons(x,nil())) 13: eq(0(),_1) ->= eq❆1_0(_1) 14: eq(s(_1),_2) ->= eq❆1_s(_1,_2) 15: length(cons(_1,_2)) ->= length❆1_cons(_1,_2) 16: length(nil()) ->= length❆1_nil() Number of strict rules: 12 Direct poly ... failed. Dependency Pairs: #1: #eq(0(),_1) ->? #eq❆1_0(_1) #2: #reverse(cons(x,xs)) -> #append(reverse(xs),cons(x,nil())) #3: #reverse(cons(x,xs)) -> #reverse(xs) #4: #eq(s(_1),_2) ->? #eq❆1_s(_1,_2) #5: #eq❆1_s(x,s(y)) -> #eq(x,y) #6: #appendAkk(cons(x,xs),ys) -> #appendAkk(xs,cons(x,ys)) #7: #length(nil()) ->? #length❆1_nil() #8: #length❆1_cons(x,xs) -> #length(xs) #9: #f(true(),xs) -> #f(eq❆1_s(length(xs),length❆1_cons(a(),xs)),append(xs,cons(a(),nil()))) #10: #f(true(),xs) -> #eq❆1_s(length(xs),length❆1_cons(a(),xs)) #11: #f(true(),xs) -> #length(xs) #12: #f(true(),xs) -> #length❆1_cons(a(),xs) #13: #f(true(),xs) -> #append(xs,cons(a(),nil())) #14: #append(xs,ys) -> #appendAkk(reverse(xs),ys) #15: #append(xs,ys) -> #reverse(xs) #16: #length(cons(_1,_2)) ->? #length❆1_cons(_1,_2) Number of SCCs: 5, DPs: 9 SCC { #6 } Sum... succeeded. a() w: (0) s(x1) w: (0) #append(x1,x2) w: (0) #reverse(x1) w: (0) length❆1_nil() w: (0) eq(x1,x2) w: (0) #length❆1_nil() w: (0) false() w: (0) appendAkk(x1,x2) w: (0) reverse(x1) w: (0) true() w: (0) #eq❆1_0(x1) w: (0) f(x1,x2) w: (0) #eq(x1,x2) w: (0) eq❆1_s(x1,x2) w: (0) append(x1,x2) w: (0) 0() w: (0) nil() w: (0) #eq❆1_s(x1,x2) w: (0) eq❆1_0(x1) w: (0) #f(x1,x2) w: (0) cons(x1,x2) w: (1 + x2 + x1) length❆1_cons(x1,x2) w: (0) length(x1) w: (0) #length(x1) w: (0) #appendAkk(x1,x2) w: (x1) #length❆1_cons(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #6 Number of SCCs: 4, DPs: 8 SCC { #8 #16 } Sum... succeeded. a() w: (0) s(x1) w: (0) #append(x1,x2) w: (0) #reverse(x1) w: (0) length❆1_nil() w: (0) eq(x1,x2) w: (0) #length❆1_nil() w: (0)
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