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TRS Stand 20472 pair #381710023
details
property
value
status
complete
benchmark
kabasci06.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n042.star.cs.uiowa.edu
space
AProVE_07
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
2.15977096558 seconds
cpu usage
7.077000771
max memory
3.837952E8
stage attributes
key
value
output-size
19588
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(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(),app(p(),app(s(),x))),app(p(),app(s(),y))) app(p(),app(s(),x)) -> x 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),app(id(),y))),app(s(),y))) app(id(),x) -> x app(id(),x) -> app(s(),app(s(),app(s(),x))) app(id(),app(p(),x)) -> app(id(),app(s(),app(id(),x))) Proof: Extended Uncurrying Processor: application symbol: app symbol table: id ==> id0/0 id1/1 div ==> div0/0 div1/1 div2/2 p ==> p0/0 p1/1 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(p0(),x17) -> p1(x17) app(div1(x19),x20) -> div2(x19,x20) app(div0(),x19) -> div1(x19) app(id0(),x22) -> id1(x22) 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(p1(s1(x)),p1(s1(y))) p1(s1(x)) -> x div2(00(),s1(y)) -> 00() div2(s1(x),s1(y)) -> s1(div2(minus2(x,id1(y)),s1(y))) id1(x) -> x id1(x) -> s1(s1(s1(x))) id1(p1(x)) -> id1(s1(id1(x))) 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(p0(),x17) -> p1(x17) app(div1(x19),x20) -> div2(x19,x20) app(div0(),x19) -> div1(x19) app(id0(),x22) -> id1(x22) 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)) -> p{1,#}(s1(y)) minus{2,#}(s1(x),s1(y)) -> p{1,#}(s1(x)) minus{2,#}(s1(x),s1(y)) -> minus{2,#}(p1(s1(x)),p1(s1(y))) div{2,#}(s1(x),s1(y)) -> id{1,#}(y) div{2,#}(s1(x),s1(y)) -> minus{2,#}(x,id1(y)) div{2,#}(s1(x),s1(y)) -> div{2,#}(minus2(x,id1(y)),s1(y)) id{1,#}(p1(x)) -> id{1,#}(x) id{1,#}(p1(x)) -> id{1,#}(s1(id1(x))) app#(map1(x4),x5) -> map{2,#}(x4,x5) app#(minus1(x11),x12) -> minus{2,#}(x11,x12) app#(p0(),x17) -> p{1,#}(x17) app#(div1(x19),x20) -> div{2,#}(x19,x20) app#(id0(),x22) -> id{1,#}(x22) 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(p1(s1(x)),p1(s1(y))) p1(s1(x)) -> x div2(00(),s1(y)) -> 00() div2(s1(x),s1(y)) -> s1(div2(minus2(x,id1(y)),s1(y))) id1(x) -> x id1(x) -> s1(s1(s1(x))) id1(p1(x)) -> id1(s1(id1(x)))
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