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TRS Stand 20472 pair #381713223
details
property
value
status
complete
benchmark
#3.36.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n046.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)
1.72330093384 seconds
cpu usage
5.380895128
max memory
4.2256384E8
stage attributes
key
value
output-size
28305
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(f(),0()) -> app(s(),0()) app(f(),app(s(),x)) -> app(app(minus(),app(s(),x)),app(g(),app(f(),x))) app(g(),0()) -> 0() app(g(),app(s(),x)) -> app(app(minus(),app(s(),x)),app(f(),app(g(),x))) app(app(map(),fun),nil()) -> nil() app(app(map(),fun),app(app(cons(),x),xs)) -> app(app(cons(),app(fun,x)),app(app(map(),fun),xs)) app(app(filter(),fun),nil()) -> nil() app(app(filter(),fun),app(app(cons(),x),xs)) -> app(app(app(app(filter2(),app(fun,x)),fun),x),xs) app(app(app(app(filter2(),true()),fun),x),xs) -> app(app(cons(),x),app(app(filter(),fun),xs)) app(app(app(app(filter2(),false()),fun),x),xs) -> app(app(filter(),fun),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 g ==> g0/0 g1/1 f ==> f0/0 f1/1 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(f0(),x10) -> f1(x10) app(g0(),x12) -> g1(x12) app(map1(x14),x15) -> map2(x14,x15) app(map0(),x14) -> map1(x14) app(cons1(x18),x19) -> cons2(x18,x19) app(cons0(),x18) -> cons1(x18) app(filter1(x21),x22) -> filter2(x21,x22) app(filter0(),x21) -> filter1(x21) app(filter23(x24,x25,x26),x27) -> filter24(x24,x25,x26,x27) app(filter22(x24,x25),x26) -> filter23(x24,x25,x26) app(filter21(x24),x25) -> filter22(x24,x25) app(filter20(),x24) -> filter21(x24) eta-rules: problem: minus2(x,00()) -> x minus2(s1(x),s1(y)) -> minus2(x,y) f1(00()) -> s1(00()) f1(s1(x)) -> minus2(s1(x),g1(f1(x))) g1(00()) -> 00() g1(s1(x)) -> minus2(s1(x),f1(g1(x))) map2(fun,nil0()) -> nil0() map2(fun,cons2(x,xs)) -> cons2(app(fun,x),map2(fun,xs)) filter2(fun,nil0()) -> nil0() filter2(fun,cons2(x,xs)) -> filter24(app(fun,x),fun,x,xs) filter24(true0(),fun,x,xs) -> cons2(x,filter2(fun,xs)) filter24(false0(),fun,x,xs) -> filter2(fun,xs) app(minus1(x4),x5) -> minus2(x4,x5) app(minus0(),x4) -> minus1(x4) app(s0(),x8) -> s1(x8) app(f0(),x10) -> f1(x10) app(g0(),x12) -> g1(x12) app(map1(x14),x15) -> map2(x14,x15) app(map0(),x14) -> map1(x14) app(cons1(x18),x19) -> cons2(x18,x19) app(cons0(),x18) -> cons1(x18) app(filter1(x21),x22) -> filter2(x21,x22) app(filter0(),x21) -> filter1(x21) app(filter23(x24,x25,x26),x27) -> filter24(x24,x25,x26,x27) app(filter22(x24,x25),x26) -> filter23(x24,x25,x26) app(filter21(x24),x25) -> filter22(x24,x25) app(filter20(),x24) -> filter21(x24) DP Processor: DPs: minus{2,#}(s1(x),s1(y)) -> minus{2,#}(x,y) f{1,#}(s1(x)) -> f{1,#}(x) f{1,#}(s1(x)) -> g{1,#}(f1(x)) f{1,#}(s1(x)) -> minus{2,#}(s1(x),g1(f1(x))) g{1,#}(s1(x)) -> g{1,#}(x) g{1,#}(s1(x)) -> f{1,#}(g1(x)) g{1,#}(s1(x)) -> minus{2,#}(s1(x),f1(g1(x))) map{2,#}(fun,cons2(x,xs)) -> map{2,#}(fun,xs) map{2,#}(fun,cons2(x,xs)) -> app#(fun,x) filter{2,#}(fun,cons2(x,xs)) -> app#(fun,x) filter{2,#}(fun,cons2(x,xs)) -> filter2{4,#}(app(fun,x),fun,x,xs) filter2{4,#}(true0(),fun,x,xs) -> filter{2,#}(fun,xs) filter2{4,#}(false0(),fun,x,xs) -> filter{2,#}(fun,xs)
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