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TRS Stand 20472 pair #381712358
details
property
value
status
complete
benchmark
17.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n083.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)
0.810379981995 seconds
cpu usage
1.782962704
max memory
2.56598016E8
stage attributes
key
value
output-size
24702
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(.(),1()),x) -> x app(app(.(),x),1()) -> x app(app(.(),app(i(),x)),x) -> 1() app(app(.(),x),app(i(),x)) -> 1() app(app(.(),app(i(),y)),app(app(.(),y),z)) -> z app(app(.(),y),app(app(.(),app(i(),y)),z)) -> z app(app(.(),app(app(.(),x),y)),z) -> app(app(.(),x),app(app(.(),y),z)) app(i(),1()) -> 1() app(i(),app(i(),x)) -> x app(i(),app(app(.(),x),y)) -> app(app(.(),app(i(),y)),app(i(),x)) 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 i ==> i0/0 i1/1 1 ==> 10/0 . ==> .0/0 .1/1 .2/2 uncurry-rules: app(.1(x5),x6) -> .2(x5,x6) app(.0(),x5) -> .1(x5) app(i0(),x9) -> i1(x9) app(map1(x11),x12) -> map2(x11,x12) app(map0(),x11) -> map1(x11) app(cons1(x15),x16) -> cons2(x15,x16) app(cons0(),x15) -> cons1(x15) app(filter1(x18),x19) -> filter2(x18,x19) app(filter0(),x18) -> filter1(x18) app(filter23(x21,x22,x23),x24) -> filter24(x21,x22,x23,x24) app(filter22(x21,x22),x23) -> filter23(x21,x22,x23) app(filter21(x21),x22) -> filter22(x21,x22) app(filter20(),x21) -> filter21(x21) eta-rules: problem: .2(10(),x) -> x .2(x,10()) -> x .2(i1(x),x) -> 10() .2(x,i1(x)) -> 10() .2(i1(y),.2(y,z)) -> z .2(y,.2(i1(y),z)) -> z .2(.2(x,y),z) -> .2(x,.2(y,z)) i1(10()) -> 10() i1(i1(x)) -> x i1(.2(x,y)) -> .2(i1(y),i1(x)) 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(.1(x5),x6) -> .2(x5,x6) app(.0(),x5) -> .1(x5) app(i0(),x9) -> i1(x9) app(map1(x11),x12) -> map2(x11,x12) app(map0(),x11) -> map1(x11) app(cons1(x15),x16) -> cons2(x15,x16) app(cons0(),x15) -> cons1(x15) app(filter1(x18),x19) -> filter2(x18,x19) app(filter0(),x18) -> filter1(x18) app(filter23(x21,x22,x23),x24) -> filter24(x21,x22,x23,x24) app(filter22(x21,x22),x23) -> filter23(x21,x22,x23) app(filter21(x21),x22) -> filter22(x21,x22) app(filter20(),x21) -> filter21(x21) DP Processor: DPs: .{2,#}(.2(x,y),z) -> .{2,#}(y,z) .{2,#}(.2(x,y),z) -> .{2,#}(x,.2(y,z)) i{1,#}(.2(x,y)) -> i{1,#}(x) i{1,#}(.2(x,y)) -> i{1,#}(y) i{1,#}(.2(x,y)) -> .{2,#}(i1(y),i1(x)) map{2,#}(f,cons2(x,xs)) -> map{2,#}(f,xs) map{2,#}(f,cons2(x,xs)) -> app#(f,x) filter{2,#}(f,cons2(x,xs)) -> app#(f,x) filter{2,#}(f,cons2(x,xs)) -> filter2{4,#}(app(f,x),f,x,xs) filter2{4,#}(true0(),f,x,xs) -> filter{2,#}(f,xs) filter2{4,#}(false0(),f,x,xs) -> filter{2,#}(f,xs)
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