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TRS Stand 20472 pair #381713472
details
property
value
status
complete
benchmark
mapDivMinus.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n088.star.cs.uiowa.edu
space
Applicative_05
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
1.02992987633 seconds
cpu usage
2.694248297
max memory
3.15723776E8
stage attributes
key
value
output-size
11197
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(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(minus(),x),0()) -> x app(app(minus(),app(s(),x)),app(s(),y)) -> app(app(minus(),x),y) app(app(div(),0()),app(s(),y)) -> 0() app(app(div(),app(s(),x)),app(s(),y)) -> app(s(),app(app(div(),app(app(minus(),x),y)),app(s(),y))) Proof: Extended Uncurrying Processor: application symbol: app symbol table: div ==> div0/0 div1/1 div2/2 s ==> s0/0 s1/1 0 ==> 00/0 minus ==> minus0/0 minus1/1 minus2/2 cons ==> cons0/0 cons1/1 cons2/2 nil ==> nil0/0 map ==> map0/0 map1/1 map2/2 uncurry-rules: app(map1(x4),x5) -> map2(x4,x5) app(map0(),x4) -> map1(x4) app(cons1(x8),x9) -> cons2(x8,x9) app(cons0(),x8) -> cons1(x8) app(minus1(x11),x12) -> minus2(x11,x12) app(minus0(),x11) -> minus1(x11) app(s0(),x15) -> s1(x15) app(div1(x17),x18) -> div2(x17,x18) app(div0(),x17) -> div1(x17) eta-rules: problem: map2(f,nil0()) -> nil0() map2(f,cons2(x,xs)) -> cons2(app(f,x),map2(f,xs)) minus2(x,00()) -> x minus2(s1(x),s1(y)) -> minus2(x,y) div2(00(),s1(y)) -> 00() div2(s1(x),s1(y)) -> s1(div2(minus2(x,y),s1(y))) app(map1(x4),x5) -> map2(x4,x5) app(map0(),x4) -> map1(x4) app(cons1(x8),x9) -> cons2(x8,x9) app(cons0(),x8) -> cons1(x8) app(minus1(x11),x12) -> minus2(x11,x12) app(minus0(),x11) -> minus1(x11) app(s0(),x15) -> s1(x15) app(div1(x17),x18) -> div2(x17,x18) app(div0(),x17) -> div1(x17) DP Processor: DPs: map{2,#}(f,cons2(x,xs)) -> map{2,#}(f,xs) map{2,#}(f,cons2(x,xs)) -> app#(f,x) minus{2,#}(s1(x),s1(y)) -> minus{2,#}(x,y) div{2,#}(s1(x),s1(y)) -> minus{2,#}(x,y) div{2,#}(s1(x),s1(y)) -> div{2,#}(minus2(x,y),s1(y)) app#(map1(x4),x5) -> map{2,#}(x4,x5) app#(minus1(x11),x12) -> minus{2,#}(x11,x12) app#(div1(x17),x18) -> div{2,#}(x17,x18) TRS: map2(f,nil0()) -> nil0() map2(f,cons2(x,xs)) -> cons2(app(f,x),map2(f,xs)) minus2(x,00()) -> x minus2(s1(x),s1(y)) -> minus2(x,y) div2(00(),s1(y)) -> 00() div2(s1(x),s1(y)) -> s1(div2(minus2(x,y),s1(y))) app(map1(x4),x5) -> map2(x4,x5) app(map0(),x4) -> map1(x4) app(cons1(x8),x9) -> cons2(x8,x9) app(cons0(),x8) -> cons1(x8) app(minus1(x11),x12) -> minus2(x11,x12) app(minus0(),x11) -> minus1(x11) app(s0(),x15) -> s1(x15) app(div1(x17),x18) -> div2(x17,x18) app(div0(),x17) -> div1(x17) TDG Processor: DPs: map{2,#}(f,cons2(x,xs)) -> map{2,#}(f,xs) map{2,#}(f,cons2(x,xs)) -> app#(f,x) minus{2,#}(s1(x),s1(y)) -> minus{2,#}(x,y) div{2,#}(s1(x),s1(y)) -> minus{2,#}(x,y) div{2,#}(s1(x),s1(y)) -> div{2,#}(minus2(x,y),s1(y)) app#(map1(x4),x5) -> map{2,#}(x4,x5) app#(minus1(x11),x12) -> minus{2,#}(x11,x12) app#(div1(x17),x18) -> div{2,#}(x17,x18) TRS: map2(f,nil0()) -> nil0() map2(f,cons2(x,xs)) -> cons2(app(f,x),map2(f,xs)) minus2(x,00()) -> x minus2(s1(x),s1(y)) -> minus2(x,y) div2(00(),s1(y)) -> 00() div2(s1(x),s1(y)) -> s1(div2(minus2(x,y),s1(y))) app(map1(x4),x5) -> map2(x4,x5)
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