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TRS Standard pair #516966373
details
property
value
status
complete
benchmark
parting01_reverse.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n119.star.cs.uiowa.edu
space
AProVE_08
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.783643960953 seconds
cpu usage
0.806568966
max memory
3.2649216E7
stage attributes
key
value
output-size
3264
starexec-result
MAYBE
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- MAYBE Input TRS: 1: last(nil()) -> 0() 2: last(cons(x,nil())) -> x 3: last(cons(x,cons(y,xs))) -> last(cons(y,xs)) 4: del(x,nil()) -> nil() 5: del(x,cons(y,xs)) -> if(eq(x,y),x,y,xs) 6: if(true(),x,y,xs) -> xs 7: if(false(),x,y,xs) -> cons(y,del(x,xs)) 8: eq(0(),0()) -> true() 9: eq(0(),s(y)) -> false() 10: eq(s(x),0()) -> false() 11: eq(s(x),s(y)) -> eq(x,y) 12: reverse(nil()) -> nil() 13: reverse(cons(x,xs)) -> cons(last(cons(x,xs)),reverse(del(last(cons(x,xs)),cons(x,xs)))) Number of strict rules: 13 Direct poly ... failed. Freezing last 1: last❆1_nil() -> 0() 2: last❆1_cons(x,nil()) -> x 3: last❆1_cons(x,cons(y,xs)) -> last❆1_cons(y,xs) 4: del(x,nil()) -> nil() 5: del(x,cons(y,xs)) -> if(eq(x,y),x,y,xs) 6: if(true(),x,y,xs) -> xs 7: if(false(),x,y,xs) -> cons(y,del(x,xs)) 8: eq(0(),0()) -> true() 9: eq(0(),s(y)) -> false() 10: eq(s(x),0()) -> false() 11: eq(s(x),s(y)) -> eq(x,y) 12: reverse(nil()) -> nil() 13: reverse(cons(x,xs)) -> cons(last❆1_cons(x,xs),reverse(del(last❆1_cons(x,xs),cons(x,xs)))) 14: last(cons(_1,_2)) ->= last❆1_cons(_1,_2) 15: last(nil()) ->= last❆1_nil() Number of strict rules: 13 Direct poly ... failed. Dependency Pairs: #1: #reverse(cons(x,xs)) -> #last❆1_cons(x,xs) #2: #reverse(cons(x,xs)) -> #reverse(del(last❆1_cons(x,xs),cons(x,xs))) #3: #reverse(cons(x,xs)) -> #del(last❆1_cons(x,xs),cons(x,xs)) #4: #reverse(cons(x,xs)) -> #last❆1_cons(x,xs) #5: #eq(s(x),s(y)) -> #eq(x,y) #6: #last(cons(_1,_2)) ->? #last❆1_cons(_1,_2) #7: #if(false(),x,y,xs) -> #del(x,xs) #8: #del(x,cons(y,xs)) -> #if(eq(x,y),x,y,xs) #9: #del(x,cons(y,xs)) -> #eq(x,y) #10: #last❆1_cons(x,cons(y,xs)) -> #last❆1_cons(y,xs) #11: #last(nil()) ->? #last❆1_nil() Number of SCCs: 4, DPs: 5 SCC { #5 } Sum... succeeded. #del(x1,x2) w: (0) last❆1_nil() w: (0) s(x1) w: (1 + x1) #reverse(x1) w: (0) #last❆1_nil() w: (0) eq(x1,x2) w: (0) #last❆1_cons(x1,x2) w: (0) false() w: (0) last❆1_cons(x1,x2) w: (0) reverse(x1) w: (0) true() w: (0) #last(x1) w: (0) #eq(x1,x2) w: (x2 + x1) 0() w: (0) if(x1,x2,x3,x4) w: (0) del(x1,x2) w: (0) last(x1) w: (0) nil() w: (0) cons(x1,x2) w: (0) #if(x1,x2,x3,x4) w: (0) USABLE RULES: { } Removed DPs: #5 Number of SCCs: 3, DPs: 4 SCC { #10 } Sum... succeeded. #del(x1,x2) w: (0) last❆1_nil() w: (0) s(x1) w: (1) #reverse(x1) w: (0) #last❆1_nil() w: (0) eq(x1,x2) w: (0) #last❆1_cons(x1,x2) w: (x2) false() w: (0) last❆1_cons(x1,x2) w: (0) reverse(x1) w: (0) true() w: (0) #last(x1) w: (0) #eq(x1,x2) w: (0) 0() w: (0) if(x1,x2,x3,x4) w: (0) del(x1,x2) w: (0) last(x1) w: (0) nil() w: (0) cons(x1,x2) w: (1 + x2)
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