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TRS Stand 20472 pair #381710026
details
property
value
status
complete
benchmark
06.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n192.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)
0.719975948334 seconds
cpu usage
1.452743066
max memory
2.4170496E8
stage attributes
key
value
output-size
17747
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(f(),app(g(),x)) -> app(g(),app(g(),app(f(),x))) app(f(),app(g(),x)) -> app(g(),app(g(),app(g(),x))) 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 f ==> f0/0 f1/1 uncurry-rules: app(f0(),x3) -> f1(x3) app(g0(),x5) -> g1(x5) app(map1(x7),x8) -> map2(x7,x8) app(map0(),x7) -> map1(x7) app(cons1(x11),x12) -> cons2(x11,x12) app(cons0(),x11) -> cons1(x11) app(filter1(x14),x15) -> filter2(x14,x15) app(filter0(),x14) -> filter1(x14) app(filter23(x17,x18,x19),x20) -> filter24(x17,x18,x19,x20) app(filter22(x17,x18),x19) -> filter23(x17,x18,x19) app(filter21(x17),x18) -> filter22(x17,x18) app(filter20(),x17) -> filter21(x17) eta-rules: problem: f1(g1(x)) -> g1(g1(f1(x))) f1(g1(x)) -> g1(g1(g1(x))) 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(),x5) -> g1(x5) app(map1(x7),x8) -> map2(x7,x8) app(map0(),x7) -> map1(x7) app(cons1(x11),x12) -> cons2(x11,x12) app(cons0(),x11) -> cons1(x11) app(filter1(x14),x15) -> filter2(x14,x15) app(filter0(),x14) -> filter1(x14) app(filter23(x17,x18,x19),x20) -> filter24(x17,x18,x19,x20) app(filter22(x17,x18),x19) -> filter23(x17,x18,x19) app(filter21(x17),x18) -> filter22(x17,x18) app(filter20(),x17) -> filter21(x17) DP Processor: DPs: f{1,#}(g1(x)) -> f{1,#}(x) 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#(map1(x7),x8) -> map{2,#}(x7,x8) app#(filter1(x14),x15) -> filter{2,#}(x14,x15) app#(filter23(x17,x18,x19),x20) -> filter2{4,#}(x17,x18,x19,x20) TRS: f1(g1(x)) -> g1(g1(f1(x))) f1(g1(x)) -> g1(g1(g1(x))) 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(),x5) -> g1(x5) app(map1(x7),x8) -> map2(x7,x8) app(map0(),x7) -> map1(x7) app(cons1(x11),x12) -> cons2(x11,x12) app(cons0(),x11) -> cons1(x11) app(filter1(x14),x15) -> filter2(x14,x15) app(filter0(),x14) -> filter1(x14) app(filter23(x17,x18,x19),x20) -> filter24(x17,x18,x19,x20) app(filter22(x17,x18),x19) -> filter23(x17,x18,x19)
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