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TRS Standard pair #516965248
details
property
value
status
complete
benchmark
emmes-nonloop-ex7_8.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n142.star.cs.uiowa.edu
space
EEG_IJCAR_12
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
7.00803589821 seconds
cpu usage
7.087879075
max memory
4.184064E7
stage attributes
key
value
output-size
3896
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: f(true(),xs) -> f(eq(s(length(xs)),length(cons(a(),xs))),append(xs,cons(b(),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(nil(),ys) -> ys 9: append(cons(x,xs),ys) -> cons(x,append(xs,ys)) Number of strict rules: 9 Direct poly ... failed. Freezing length eq 1: f(true(),xs) -> f(eq❆1_s(length(xs),length❆1_cons(a(),xs)),append(xs,cons(b(),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(nil(),ys) -> ys 9: append(cons(x,xs),ys) -> cons(x,append(xs,ys)) 10: eq(0(),_1) ->= eq❆1_0(_1) 11: eq(s(_1),_2) ->= eq❆1_s(_1,_2) 12: length(cons(_1,_2)) ->= length❆1_cons(_1,_2) 13: length(nil()) ->= length❆1_nil() Number of strict rules: 9 Direct poly ... failed. Dependency Pairs: #1: #length(nil()) ->? #length❆1_nil() #2: #append(cons(x,xs),ys) -> #append(xs,ys) #3: #eq(s(_1),_2) ->? #eq❆1_s(_1,_2) #4: #length(cons(_1,_2)) ->? #length❆1_cons(_1,_2) #5: #eq❆1_s(x,s(y)) -> #eq(x,y) #6: #eq(0(),_1) ->? #eq❆1_0(_1) #7: #length❆1_cons(x,xs) -> #length(xs) #8: #f(true(),xs) -> #f(eq❆1_s(length(xs),length❆1_cons(a(),xs)),append(xs,cons(b(),nil()))) #9: #f(true(),xs) -> #eq❆1_s(length(xs),length❆1_cons(a(),xs)) #10: #f(true(),xs) -> #length(xs) #11: #f(true(),xs) -> #length❆1_cons(a(),xs) #12: #f(true(),xs) -> #append(xs,cons(b(),nil())) Number of SCCs: 4, DPs: 6 SCC { #2 } Sum... succeeded. a() w: (0) s(x1) w: (0) #append(x1,x2) w: (x1) b() w: (0) length❆1_nil() w: (0) eq(x1,x2) w: (0) #length❆1_nil() w: (0) false() 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) length❆1_cons(x1,x2) w: (0) length(x1) w: (0) #length(x1) w: (0) #length❆1_cons(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #2 Number of SCCs: 3, DPs: 5 SCC { #4 #7 } Sum... succeeded. a() w: (0) s(x1) w: (0) #append(x1,x2) w: (0) b() w: (0) length❆1_nil() w: (0) eq(x1,x2) w: (0) #length❆1_nil() w: (0) false() 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: (2 + x2)
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