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TRS Stand 20472 pair #381713000
details
property
value
status
complete
benchmark
TreeMap.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n100.star.cs.uiowa.edu
space
Applicative_05
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
0.58628487587 seconds
cpu usage
1.081609598
max memory
2.14872064E8
stage attributes
key
value
output-size
5129
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(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(treemap(),f),app(app(node(),x),xs)) -> app(app(node(),app(f,x)),app(app(map(),app(treemap(),f)),xs)) Proof: Extended Uncurrying Processor: application symbol: app symbol table: node ==> node0/0 node1/1 node2/2 treemap ==> treemap0/0 treemap1/1 treemap2/2 cons ==> cons0/0 cons1/1 cons2/2 nil ==> nil0/0 map ==> map0/0 map1/1 map2/2 uncurry-rules: app(map1(x3),x4) -> map2(x3,x4) app(map0(),x3) -> map1(x3) app(cons1(x7),x8) -> cons2(x7,x8) app(cons0(),x7) -> cons1(x7) app(treemap1(x10),x11) -> treemap2(x10,x11) app(treemap0(),x10) -> treemap1(x10) app(node1(x13),x14) -> node2(x13,x14) app(node0(),x13) -> node1(x13) eta-rules: problem: map2(f,nil0()) -> nil0() map2(f,cons2(x,xs)) -> cons2(app(f,x),map2(f,xs)) treemap2(f,node2(x,xs)) -> node2(app(f,x),map2(treemap1(f),xs)) app(map1(x3),x4) -> map2(x3,x4) app(map0(),x3) -> map1(x3) app(cons1(x7),x8) -> cons2(x7,x8) app(cons0(),x7) -> cons1(x7) app(treemap1(x10),x11) -> treemap2(x10,x11) app(treemap0(),x10) -> treemap1(x10) app(node1(x13),x14) -> node2(x13,x14) app(node0(),x13) -> node1(x13) DP Processor: DPs: map{2,#}(f,cons2(x,xs)) -> map{2,#}(f,xs) map{2,#}(f,cons2(x,xs)) -> app#(f,x) treemap{2,#}(f,node2(x,xs)) -> map{2,#}(treemap1(f),xs) treemap{2,#}(f,node2(x,xs)) -> app#(f,x) app#(map1(x3),x4) -> map{2,#}(x3,x4) app#(treemap1(x10),x11) -> treemap{2,#}(x10,x11) TRS: map2(f,nil0()) -> nil0() map2(f,cons2(x,xs)) -> cons2(app(f,x),map2(f,xs)) treemap2(f,node2(x,xs)) -> node2(app(f,x),map2(treemap1(f),xs)) app(map1(x3),x4) -> map2(x3,x4) app(map0(),x3) -> map1(x3) app(cons1(x7),x8) -> cons2(x7,x8) app(cons0(),x7) -> cons1(x7) app(treemap1(x10),x11) -> treemap2(x10,x11) app(treemap0(),x10) -> treemap1(x10) app(node1(x13),x14) -> node2(x13,x14) app(node0(),x13) -> node1(x13) TDG Processor: DPs: map{2,#}(f,cons2(x,xs)) -> map{2,#}(f,xs) map{2,#}(f,cons2(x,xs)) -> app#(f,x) treemap{2,#}(f,node2(x,xs)) -> map{2,#}(treemap1(f),xs) treemap{2,#}(f,node2(x,xs)) -> app#(f,x) app#(map1(x3),x4) -> map{2,#}(x3,x4) app#(treemap1(x10),x11) -> treemap{2,#}(x10,x11) TRS: map2(f,nil0()) -> nil0() map2(f,cons2(x,xs)) -> cons2(app(f,x),map2(f,xs)) treemap2(f,node2(x,xs)) -> node2(app(f,x),map2(treemap1(f),xs)) app(map1(x3),x4) -> map2(x3,x4) app(map0(),x3) -> map1(x3) app(cons1(x7),x8) -> cons2(x7,x8) app(cons0(),x7) -> cons1(x7) app(treemap1(x10),x11) -> treemap2(x10,x11) app(treemap0(),x10) -> treemap1(x10) app(node1(x13),x14) -> node2(x13,x14) app(node0(),x13) -> node1(x13) graph: treemap{2,#}(f,node2(x,xs)) -> app#(f,x) -> app#(treemap1(x10),x11) -> treemap{2,#}(x10,x11) treemap{2,#}(f,node2(x,xs)) -> app#(f,x) -> app#(map1(x3),x4) -> map{2,#}(x3,x4) treemap{2,#}(f,node2(x,xs)) -> map{2,#}(treemap1(f),xs) -> map{2,#}(f,cons2(x,xs)) -> app#(f,x) treemap{2,#}(f,node2(x,xs)) -> map{2,#}(treemap1(f),xs) -> map{2,#}(f,cons2(x,xs)) -> map{2,#}(f,xs) app#(treemap1(x10),x11) -> treemap{2,#}(x10,x11) -> treemap{2,#}(f,node2(x,xs)) -> app#(f,x) app#(treemap1(x10),x11) -> treemap{2,#}(x10,x11) -> treemap{2,#}(f,node2(x,xs)) -> map{2,#}(treemap1(f),xs)
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