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TRS Stand 20472 pair #381711969
details
property
value
status
complete
benchmark
hydra.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n077.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)
1.19980096817 seconds
cpu usage
3.340724829
max memory
3.17804544E8
stage attributes
key
value
output-size
26253
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(f(),app(app(cons(),nil()),y)) -> y app(f(),app(app(cons(),app(f(),app(app(cons(),nil()),y))),z)) -> app(app(app(copy(),n()),y),z) app(app(app(copy(),0()),y),z) -> app(f(),z) app(app(app(copy(),app(s(),x)),y),z) -> app(app(app(copy(),x),y),app(app(cons(),app(f(),y)),z)) 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 map ==> map0/0 map1/1 map2/2 s ==> s0/0 s1/1 0 ==> 00/0 n ==> n0/0 copy ==> copy0/0 copy1/1 copy2/2 copy3/3 nil ==> nil0/0 cons ==> cons0/0 cons1/1 cons2/2 f ==> f0/0 f1/1 uncurry-rules: app(f0(),x5) -> f1(x5) app(cons1(x7),x8) -> cons2(x7,x8) app(cons0(),x7) -> cons1(x7) app(copy2(x11,x12),x13) -> copy3(x11,x12,x13) app(copy1(x11),x12) -> copy2(x11,x12) app(copy0(),x11) -> copy1(x11) app(s0(),x17) -> s1(x17) app(map1(x19),x20) -> map2(x19,x20) app(map0(),x19) -> map1(x19) app(filter1(x22),x23) -> filter2(x22,x23) app(filter0(),x22) -> filter1(x22) app(filter23(x25,x26,x27),x28) -> filter24(x25,x26,x27,x28) app(filter22(x25,x26),x27) -> filter23(x25,x26,x27) app(filter21(x25),x26) -> filter22(x25,x26) app(filter20(),x25) -> filter21(x25) eta-rules: problem: f1(cons2(nil0(),y)) -> y f1(cons2(f1(cons2(nil0(),y)),z)) -> copy3(n0(),y,z) copy3(00(),y,z) -> f1(z) copy3(s1(x),y,z) -> copy3(x,y,cons2(f1(y),z)) 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(f0(),x5) -> f1(x5) app(cons1(x7),x8) -> cons2(x7,x8) app(cons0(),x7) -> cons1(x7) app(copy2(x11,x12),x13) -> copy3(x11,x12,x13) app(copy1(x11),x12) -> copy2(x11,x12) app(copy0(),x11) -> copy1(x11) app(s0(),x17) -> s1(x17) app(map1(x19),x20) -> map2(x19,x20) app(map0(),x19) -> map1(x19) app(filter1(x22),x23) -> filter2(x22,x23) app(filter0(),x22) -> filter1(x22) app(filter23(x25,x26,x27),x28) -> filter24(x25,x26,x27,x28) app(filter22(x25,x26),x27) -> filter23(x25,x26,x27) app(filter21(x25),x26) -> filter22(x25,x26) app(filter20(),x25) -> filter21(x25) DP Processor: DPs: f{1,#}(cons2(f1(cons2(nil0(),y)),z)) -> copy{3,#}(n0(),y,z) copy{3,#}(00(),y,z) -> f{1,#}(z) copy{3,#}(s1(x),y,z) -> f{1,#}(y) copy{3,#}(s1(x),y,z) -> copy{3,#}(x,y,cons2(f1(y),z)) 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) app#(f0(),x5) -> f{1,#}(x5) app#(copy2(x11,x12),x13) -> copy{3,#}(x11,x12,x13) app#(map1(x19),x20) -> map{2,#}(x19,x20) app#(filter1(x22),x23) -> filter{2,#}(x22,x23) app#(filter23(x25,x26,x27),x28) -> filter2{4,#}(x25,x26,x27,x28) TRS: f1(cons2(nil0(),y)) -> y
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