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TRS Stand 20472 pair #381711357
details
property
value
status
complete
benchmark
Ex3Lists.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n030.star.cs.uiowa.edu
space
Applicative_05
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
0.654965162277 seconds
cpu usage
1.225358411
max memory
2.22306304E8
stage attributes
key
value
output-size
12657
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(app(append(),nil()),l) -> l app(app(append(),app(app(cons(),h),t)),l) -> app(app(cons(),h),app(app(append(),t),l)) app(app(map(),f),nil()) -> nil() app(app(map(),f),app(app(cons(),h),t)) -> app(app(cons(),app(f,h)),app(app(map(),f),t)) app(app(append(),app(app(append(),l1),l2)),l3) -> app(app(append(),l1),app(app(append(),l2),l3)) app(app(map(),f),app(app(append(),l1),l2)) -> app(app(append(),app(app(map(),f),l1)),app(app(map(),f),l2)) Proof: Extended Uncurrying Processor: application symbol: app symbol table: map ==> map0/0 map1/1 map2/2 cons ==> cons0/0 cons1/1 cons2/2 nil ==> nil0/0 append ==> append0/0 append1/1 append2/2 uncurry-rules: app(append1(x7),x8) -> append2(x7,x8) app(append0(),x7) -> append1(x7) app(cons1(x11),x12) -> cons2(x11,x12) app(cons0(),x11) -> cons1(x11) app(map1(x14),x15) -> map2(x14,x15) app(map0(),x14) -> map1(x14) eta-rules: problem: append2(nil0(),l) -> l append2(cons2(h,t),l) -> cons2(h,append2(t,l)) map2(f,nil0()) -> nil0() map2(f,cons2(h,t)) -> cons2(app(f,h),map2(f,t)) append2(append2(l1,l2),l3) -> append2(l1,append2(l2,l3)) map2(f,append2(l1,l2)) -> append2(map2(f,l1),map2(f,l2)) app(append1(x7),x8) -> append2(x7,x8) app(append0(),x7) -> append1(x7) app(cons1(x11),x12) -> cons2(x11,x12) app(cons0(),x11) -> cons1(x11) app(map1(x14),x15) -> map2(x14,x15) app(map0(),x14) -> map1(x14) DP Processor: DPs: append{2,#}(cons2(h,t),l) -> append{2,#}(t,l) map{2,#}(f,cons2(h,t)) -> map{2,#}(f,t) map{2,#}(f,cons2(h,t)) -> app#(f,h) append{2,#}(append2(l1,l2),l3) -> append{2,#}(l2,l3) append{2,#}(append2(l1,l2),l3) -> append{2,#}(l1,append2(l2,l3)) map{2,#}(f,append2(l1,l2)) -> map{2,#}(f,l2) map{2,#}(f,append2(l1,l2)) -> map{2,#}(f,l1) map{2,#}(f,append2(l1,l2)) -> append{2,#}(map2(f,l1),map2(f,l2)) app#(append1(x7),x8) -> append{2,#}(x7,x8) app#(map1(x14),x15) -> map{2,#}(x14,x15) TRS: append2(nil0(),l) -> l append2(cons2(h,t),l) -> cons2(h,append2(t,l)) map2(f,nil0()) -> nil0() map2(f,cons2(h,t)) -> cons2(app(f,h),map2(f,t)) append2(append2(l1,l2),l3) -> append2(l1,append2(l2,l3)) map2(f,append2(l1,l2)) -> append2(map2(f,l1),map2(f,l2)) app(append1(x7),x8) -> append2(x7,x8) app(append0(),x7) -> append1(x7) app(cons1(x11),x12) -> cons2(x11,x12) app(cons0(),x11) -> cons1(x11) app(map1(x14),x15) -> map2(x14,x15) app(map0(),x14) -> map1(x14) TDG Processor: DPs: append{2,#}(cons2(h,t),l) -> append{2,#}(t,l) map{2,#}(f,cons2(h,t)) -> map{2,#}(f,t) map{2,#}(f,cons2(h,t)) -> app#(f,h) append{2,#}(append2(l1,l2),l3) -> append{2,#}(l2,l3) append{2,#}(append2(l1,l2),l3) -> append{2,#}(l1,append2(l2,l3)) map{2,#}(f,append2(l1,l2)) -> map{2,#}(f,l2) map{2,#}(f,append2(l1,l2)) -> map{2,#}(f,l1) map{2,#}(f,append2(l1,l2)) -> append{2,#}(map2(f,l1),map2(f,l2)) app#(append1(x7),x8) -> append{2,#}(x7,x8) app#(map1(x14),x15) -> map{2,#}(x14,x15) TRS: append2(nil0(),l) -> l append2(cons2(h,t),l) -> cons2(h,append2(t,l)) map2(f,nil0()) -> nil0() map2(f,cons2(h,t)) -> cons2(app(f,h),map2(f,t)) append2(append2(l1,l2),l3) -> append2(l1,append2(l2,l3)) map2(f,append2(l1,l2)) -> append2(map2(f,l1),map2(f,l2)) app(append1(x7),x8) -> append2(x7,x8) app(append0(),x7) -> append1(x7) app(cons1(x11),x12) -> cons2(x11,x12) app(cons0(),x11) -> cons1(x11) app(map1(x14),x15) -> map2(x14,x15) app(map0(),x14) -> map1(x14) graph: app#(map1(x14),x15) -> map{2,#}(x14,x15) ->
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