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TRS Stand 20472 pair #381713293
details
property
value
status
complete
benchmark
#3.32.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n020.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)
1.02549600601 seconds
cpu usage
2.718728385
max memory
2.29752832E8
stage attributes
key
value
output-size
20122
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(),a()) -> app(f(),b()) app(g(),b()) -> app(g(),a()) 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 cons ==> cons0/0 cons1/1 cons2/2 nil ==> nil0/0 map ==> map0/0 map1/1 map2/2 g ==> g0/0 g1/1 b ==> b0/0 a ==> a0/0 f ==> f0/0 f1/1 uncurry-rules: app(f0(),x3) -> f1(x3) app(g0(),x7) -> g1(x7) app(map1(x9),x10) -> map2(x9,x10) app(map0(),x9) -> map1(x9) app(cons1(x13),x14) -> cons2(x13,x14) app(cons0(),x13) -> cons1(x13) app(filter1(x16),x17) -> filter2(x16,x17) app(filter0(),x16) -> filter1(x16) app(filter23(x19,x20,x21),x22) -> filter24(x19,x20,x21,x22) app(filter22(x19,x20),x21) -> filter23(x19,x20,x21) app(filter21(x19),x20) -> filter22(x19,x20) app(filter20(),x19) -> filter21(x19) eta-rules: problem: f1(a0()) -> f1(b0()) g1(b0()) -> g1(a0()) 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(),x3) -> f1(x3) app(g0(),x7) -> g1(x7) app(map1(x9),x10) -> map2(x9,x10) app(map0(),x9) -> map1(x9) app(cons1(x13),x14) -> cons2(x13,x14) app(cons0(),x13) -> cons1(x13) app(filter1(x16),x17) -> filter2(x16,x17) app(filter0(),x16) -> filter1(x16) app(filter23(x19,x20,x21),x22) -> filter24(x19,x20,x21,x22) app(filter22(x19,x20),x21) -> filter23(x19,x20,x21) app(filter21(x19),x20) -> filter22(x19,x20) app(filter20(),x19) -> filter21(x19) DP Processor: DPs: f{1,#}(a0()) -> f{1,#}(b0()) g{1,#}(b0()) -> g{1,#}(a0()) 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(),x3) -> f{1,#}(x3) app#(g0(),x7) -> g{1,#}(x7) app#(map1(x9),x10) -> map{2,#}(x9,x10) app#(filter1(x16),x17) -> filter{2,#}(x16,x17) app#(filter23(x19,x20,x21),x22) -> filter2{4,#}(x19,x20,x21,x22) TRS: f1(a0()) -> f1(b0()) g1(b0()) -> g1(a0()) 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(),x3) -> f1(x3) app(g0(),x7) -> g1(x7) app(map1(x9),x10) -> map2(x9,x10) app(map0(),x9) -> map1(x9) app(cons1(x13),x14) -> cons2(x13,x14) app(cons0(),x13) -> cons1(x13)
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