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TRS Stand 20472 pair #381713579
details
property
value
status
complete
benchmark
21.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n055.star.cs.uiowa.edu
space
Applicative_first_order_05
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
1.32403302193 seconds
cpu usage
3.810961522
max memory
3.67128576E8
stage attributes
key
value
output-size
28411
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: app(p(),app(s(),x)) -> x app(fact(),0()) -> app(s(),0()) app(fact(),app(s(),x)) -> app(app(*(),app(s(),x)),app(fact(),app(p(),app(s(),x)))) app(app(*(),0()),y) -> 0() app(app(*(),app(s(),x)),y) -> app(app(+(),app(app(*(),x),y)),y) app(app(+(),x),0()) -> x app(app(+(),x),app(s(),y)) -> app(s(),app(app(+(),x),y)) app(app(map(),f),nil()) -> nil() app(app(map(),f),app(app(cons(),x),xs)) -> app(app(cons(),app(f,x)),app(app(map(),f),xs)) app(app(filter(),f),nil()) -> nil() app(app(filter(),f),app(app(cons(),x),xs)) -> app(app(app(app(filter2(),app(f,x)),f),x),xs) app(app(app(app(filter2(),true()),f),x),xs) -> app(app(cons(),x),app(app(filter(),f),xs)) app(app(app(app(filter2(),false()),f),x),xs) -> app(app(filter(),f),xs) Proof: Extended Uncurrying Processor: application symbol: app symbol table: false ==> false0/0 true ==> true0/0 filter2 ==> filter20/0 filter21/1 filter22/2 filter23/3 filter24/4 filter ==> filter0/0 filter1/1 filter2/2 cons ==> cons0/0 cons1/1 cons2/2 nil ==> nil0/0 map ==> map0/0 map1/1 map2/2 + ==> +0/0 +1/1 +2/2 * ==> *0/0 *1/1 *2/2 0 ==> 00/0 fact ==> fact0/0 fact1/1 s ==> s0/0 s1/1 p ==> p0/0 p1/1 uncurry-rules: app(p0(),x4) -> p1(x4) app(s0(),x6) -> s1(x6) app(fact0(),x8) -> fact1(x8) app(*1(x11),x12) -> *2(x11,x12) app(*0(),x11) -> *1(x11) app(+1(x14),x15) -> +2(x14,x15) app(+0(),x14) -> +1(x14) app(map1(x17),x18) -> map2(x17,x18) app(map0(),x17) -> map1(x17) app(cons1(x21),x22) -> cons2(x21,x22) app(cons0(),x21) -> cons1(x21) app(filter1(x24),x25) -> filter2(x24,x25) app(filter0(),x24) -> filter1(x24) app(filter23(x27,x28,x29),x30) -> filter24(x27,x28,x29,x30) app(filter22(x27,x28),x29) -> filter23(x27,x28,x29) app(filter21(x27),x28) -> filter22(x27,x28) app(filter20(),x27) -> filter21(x27) eta-rules: problem: p1(s1(x)) -> x fact1(00()) -> s1(00()) fact1(s1(x)) -> *2(s1(x),fact1(p1(s1(x)))) *2(00(),y) -> 00() *2(s1(x),y) -> +2(*2(x,y),y) +2(x,00()) -> x +2(x,s1(y)) -> s1(+2(x,y)) map2(f,nil0()) -> nil0() map2(f,cons2(x,xs)) -> cons2(app(f,x),map2(f,xs)) filter2(f,nil0()) -> nil0() filter2(f,cons2(x,xs)) -> filter24(app(f,x),f,x,xs) filter24(true0(),f,x,xs) -> cons2(x,filter2(f,xs)) filter24(false0(),f,x,xs) -> filter2(f,xs) app(p0(),x4) -> p1(x4) app(s0(),x6) -> s1(x6) app(fact0(),x8) -> fact1(x8) app(*1(x11),x12) -> *2(x11,x12) app(*0(),x11) -> *1(x11) app(+1(x14),x15) -> +2(x14,x15) app(+0(),x14) -> +1(x14) app(map1(x17),x18) -> map2(x17,x18) app(map0(),x17) -> map1(x17) app(cons1(x21),x22) -> cons2(x21,x22) app(cons0(),x21) -> cons1(x21) app(filter1(x24),x25) -> filter2(x24,x25) app(filter0(),x24) -> filter1(x24) app(filter23(x27,x28,x29),x30) -> filter24(x27,x28,x29,x30) app(filter22(x27,x28),x29) -> filter23(x27,x28,x29) app(filter21(x27),x28) -> filter22(x27,x28) app(filter20(),x27) -> filter21(x27) DP Processor: DPs: fact{1,#}(s1(x)) -> p{1,#}(s1(x)) fact{1,#}(s1(x)) -> fact{1,#}(p1(s1(x))) fact{1,#}(s1(x)) -> *{2,#}(s1(x),fact1(p1(s1(x)))) *{2,#}(s1(x),y) -> *{2,#}(x,y) *{2,#}(s1(x),y) -> +{2,#}(*2(x,y),y) +{2,#}(x,s1(y)) -> +{2,#}(x,y)
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