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TRS Standard pair #516966328
details
property
value
status
complete
benchmark
parting02_doublelist.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n001.star.cs.uiowa.edu
space
AProVE_08
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.654362916946 seconds
cpu usage
0.695134142
max memory
3.0785536E7
stage attributes
key
value
output-size
3390
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: double(0()) -> 0() 2: double(s(x)) -> s(s(double(x))) 3: del(x,nil()) -> nil() 4: del(x,cons(y,xs)) -> if(eq(x,y),x,y,xs) 5: if(true(),x,y,xs) -> xs 6: if(false(),x,y,xs) -> cons(y,del(x,xs)) 7: eq(0(),0()) -> true() 8: eq(0(),s(y)) -> false() 9: eq(s(x),0()) -> false() 10: eq(s(x),s(y)) -> eq(x,y) 11: first(nil()) -> 0() 12: first(cons(x,xs)) -> x 13: doublelist(nil()) -> nil() 14: doublelist(cons(x,xs)) -> cons(double(x),doublelist(del(first(cons(x,xs)),cons(x,xs)))) Number of strict rules: 14 Direct poly ... failed. Freezing first 1: double(0()) -> 0() 2: double(s(x)) -> s(s(double(x))) 3: del(x,nil()) -> nil() 4: del(x,cons(y,xs)) -> if(eq(x,y),x,y,xs) 5: if(true(),x,y,xs) -> xs 6: if(false(),x,y,xs) -> cons(y,del(x,xs)) 7: eq(0(),0()) -> true() 8: eq(0(),s(y)) -> false() 9: eq(s(x),0()) -> false() 10: eq(s(x),s(y)) -> eq(x,y) 11: first❆1_nil() -> 0() 12: first❆1_cons(x,xs) -> x 13: doublelist(nil()) -> nil() 14: doublelist(cons(x,xs)) -> cons(double(x),doublelist(del(first❆1_cons(x,xs),cons(x,xs)))) 15: first(cons(_1,_2)) ->= first❆1_cons(_1,_2) 16: first(nil()) ->= first❆1_nil() Number of strict rules: 14 Direct poly ... failed. Dependency Pairs: #1: #double(s(x)) -> #double(x) #2: #if(false(),x,y,xs) -> #del(x,xs) #3: #doublelist(cons(x,xs)) -> #double(x) #4: #doublelist(cons(x,xs)) -> #doublelist(del(first❆1_cons(x,xs),cons(x,xs))) #5: #doublelist(cons(x,xs)) -> #del(first❆1_cons(x,xs),cons(x,xs)) #6: #doublelist(cons(x,xs)) -> #first❆1_cons(x,xs) #7: #eq(s(x),s(y)) -> #eq(x,y) #8: #first(nil()) ->? #first❆1_nil() #9: #first(cons(_1,_2)) ->? #first❆1_cons(_1,_2) #10: #del(x,cons(y,xs)) -> #if(eq(x,y),x,y,xs) #11: #del(x,cons(y,xs)) -> #eq(x,y) Number of SCCs: 4, DPs: 5 SCC { #1 } Sum... succeeded. #del(x1,x2) w: (0) s(x1) w: (1 + x1) eq(x1,x2) w: (0) false() w: (0) #doublelist(x1) w: (0) true() w: (0) #eq(x1,x2) w: (0) first❆1_cons(x1,x2) w: (0) #first❆1_nil() w: (0) 0() w: (0) if(x1,x2,x3,x4) w: (0) #double(x1) w: (x1) double(x1) w: (0) del(x1,x2) w: (0) doublelist(x1) w: (0) #first(x1) w: (0) nil() w: (0) first(x1) w: (0) first❆1_nil() w: (0) cons(x1,x2) w: (0) #if(x1,x2,x3,x4) w: (0) #first❆1_cons(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #1 Number of SCCs: 3, DPs: 4 SCC { #7 } Sum... succeeded. #del(x1,x2) w: (0) s(x1) w: (1 + x1) eq(x1,x2) w: (0) false() w: (0) #doublelist(x1) w: (0) true() w: (0) #eq(x1,x2) w: (x2) first❆1_cons(x1,x2) w: (0) #first❆1_nil() w: (0) 0() w: (0) if(x1,x2,x3,x4) w: (0) #double(x1) w: (0) double(x1) w: (0) del(x1,x2) w: (0) doublelist(x1) w: (0)
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