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TRS Stand 20472 pair #381712815
details
property
value
status
complete
benchmark
#3.40.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)
12.3979918957 seconds
cpu usage
47.86579452
max memory
1.078652928E9
stage attributes
key
value
output-size
84799
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/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(app(quot(),0()),app(s(),y)) -> 0() app(app(quot(),app(s(),x)),app(s(),y)) -> app(s(),app(app(quot(),app(app(minus(),x),y)),app(s(),y))) app(app(plus(),0()),y) -> y app(app(plus(),app(s(),x)),y) -> app(s(),app(app(plus(),x),y)) app(app(plus(),app(app(minus(),x),app(s(),0()))),app(app(minus(),y),app(s(),app(s(),z)))) -> app(app(plus(),app(app(minus(),y),app(s(),app(s(),z)))),app(app(minus(),x),app(s(),0()))) app(app(plus(),app(app(plus(),x),app(s(),0()))),app(app(plus(),y),app(s(),app(s(),z)))) -> app(app(plus(),app(app(plus(),y),app(s(),app(s(),z)))),app(app(plus(),x),app(s(),0()))) 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 quot ==> quot0/0 quot1/1 quot2/2 s ==> s0/0 s1/1 0 ==> 00/0 minus ==> minus0/0 minus1/1 minus2/2 uncurry-rules: app(minus1(x5),x6) -> minus2(x5,x6) app(minus0(),x5) -> minus1(x5) app(s0(),x9) -> s1(x9) app(quot1(x11),x12) -> quot2(x11,x12) app(quot0(),x11) -> quot1(x11) app(plus1(x14),x15) -> plus2(x14,x15) app(plus0(),x14) -> plus1(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: minus2(x,00()) -> x minus2(s1(x),s1(y)) -> minus2(x,y) quot2(00(),s1(y)) -> 00() quot2(s1(x),s1(y)) -> s1(quot2(minus2(x,y),s1(y))) plus2(00(),y) -> y plus2(s1(x),y) -> s1(plus2(x,y)) plus2(minus2(x,s1(00())),minus2(y,s1(s1(z)))) -> plus2(minus2(y,s1(s1(z))),minus2(x,s1(00()))) plus2(plus2(x,s1(00())),plus2(y,s1(s1(z)))) -> plus2(plus2(y,s1(s1(z))),plus2(x,s1(00()))) 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(x5),x6) -> minus2(x5,x6) app(minus0(),x5) -> minus1(x5) app(s0(),x9) -> s1(x9) app(quot1(x11),x12) -> quot2(x11,x12) app(quot0(),x11) -> quot1(x11) app(plus1(x14),x15) -> plus2(x14,x15) app(plus0(),x14) -> plus1(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: minus{2,#}(s1(x),s1(y)) -> minus{2,#}(x,y) quot{2,#}(s1(x),s1(y)) -> minus{2,#}(x,y)
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