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TRS Stand 20472 pair #381710196
details
property
value
status
complete
benchmark
#3.18.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n111.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)
1.3906481266 seconds
cpu usage
3.989507891
max memory
4.02767872E8
stage attributes
key
value
output-size
31849
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(app(minus(),x),0()) -> x app(app(minus(),app(s(),x)),app(s(),y)) -> app(app(minus(),x),y) app(double(),0()) -> 0() app(double(),app(s(),x)) -> app(s(),app(s(),app(double(),x))) app(app(plus(),0()),y) -> y app(app(plus(),app(s(),x)),y) -> app(s(),app(app(plus(),x),y)) app(app(plus(),app(s(),x)),y) -> app(app(plus(),x),app(s(),y)) app(app(plus(),app(s(),x)),y) -> app(s(),app(app(plus(),app(app(minus(),x),y)),app(double(),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 plus ==> plus0/0 plus1/1 plus2/2 double ==> double0/0 double1/1 s ==> s0/0 s1/1 0 ==> 00/0 minus ==> minus0/0 minus1/1 minus2/2 uncurry-rules: app(minus1(x4),x5) -> minus2(x4,x5) app(minus0(),x4) -> minus1(x4) app(s0(),x8) -> s1(x8) app(double0(),x10) -> double1(x10) app(plus1(x12),x13) -> plus2(x12,x13) app(plus0(),x12) -> plus1(x12) app(map1(x15),x16) -> map2(x15,x16) app(map0(),x15) -> map1(x15) app(cons1(x19),x20) -> cons2(x19,x20) app(cons0(),x19) -> cons1(x19) app(filter1(x22),x23) -> filter2(x22,x23) app(filter0(),x22) -> filter1(x22) app(filter23(x25,x26,x27),x28) -> filter24(x25,x26,x27,x28) app(filter22(x25,x26),x27) -> filter23(x25,x26,x27) app(filter21(x25),x26) -> filter22(x25,x26) app(filter20(),x25) -> filter21(x25) eta-rules: problem: minus2(x,00()) -> x minus2(s1(x),s1(y)) -> minus2(x,y) double1(00()) -> 00() double1(s1(x)) -> s1(s1(double1(x))) plus2(00(),y) -> y plus2(s1(x),y) -> s1(plus2(x,y)) plus2(s1(x),y) -> plus2(x,s1(y)) plus2(s1(x),y) -> s1(plus2(minus2(x,y),double1(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(minus1(x4),x5) -> minus2(x4,x5) app(minus0(),x4) -> minus1(x4) app(s0(),x8) -> s1(x8) app(double0(),x10) -> double1(x10) app(plus1(x12),x13) -> plus2(x12,x13) app(plus0(),x12) -> plus1(x12) app(map1(x15),x16) -> map2(x15,x16) app(map0(),x15) -> map1(x15) app(cons1(x19),x20) -> cons2(x19,x20) app(cons0(),x19) -> cons1(x19) app(filter1(x22),x23) -> filter2(x22,x23) app(filter0(),x22) -> filter1(x22) app(filter23(x25,x26,x27),x28) -> filter24(x25,x26,x27,x28) app(filter22(x25,x26),x27) -> filter23(x25,x26,x27) app(filter21(x25),x26) -> filter22(x25,x26) app(filter20(),x25) -> filter21(x25) DP Processor: DPs: minus{2,#}(s1(x),s1(y)) -> minus{2,#}(x,y) double{1,#}(s1(x)) -> double{1,#}(x) plus{2,#}(s1(x),y) -> plus{2,#}(x,y) plus{2,#}(s1(x),y) -> plus{2,#}(x,s1(y)) plus{2,#}(s1(x),y) -> double{1,#}(y) plus{2,#}(s1(x),y) -> minus{2,#}(x,y) plus{2,#}(s1(x),y) -> plus{2,#}(minus2(x,y),double1(y))
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