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TRS Stand 20472 pair #381709686
details
property
value
status
complete
benchmark
01.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n106.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)
0.942456007004 seconds
cpu usage
2.092911214
max memory
3.09518336E8
stage attributes
key
value
output-size
19392
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(\(),x),x) -> e() app(app(\(),e()),x) -> x app(app(\(),x),app(app(.(),x),y)) -> y app(app(\(),app(app(/(),x),y)),x) -> y app(app(/(),x),x) -> e() app(app(/(),x),e()) -> x app(app(/(),app(app(.(),y),x)),x) -> y app(app(/(),x),app(app(\(),y),x)) -> y app(app(.(),e()),x) -> x app(app(.(),x),e()) -> x app(app(.(),x),app(app(\(),x),y)) -> y app(app(.(),app(app(/(),y),x)),x) -> y 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(filter(),f),nil()) -> nil() app(app(filter(),f),app(app(cons(),x),xs)) -> app(app(app(app(filter2(),app(f,x)),f),x),xs) app(app(app(app(filter2(),true()),f),x),xs) -> app(app(cons(),x),app(app(filter(),f),xs)) app(app(app(app(filter2(),false()),f),x),xs) -> app(app(filter(),f),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 / ==> /0/0 /1/1 /2/2 . ==> .0/0 .1/1 .2/2 e ==> e0/0 \ ==> \0/0 \1/1 \2/2 uncurry-rules: app(\1(x4),x5) -> \2(x4,x5) app(\0(),x4) -> \1(x4) app(.1(x8),x9) -> .2(x8,x9) app(.0(),x8) -> .1(x8) app(/1(x11),x12) -> /2(x11,x12) app(/0(),x11) -> /1(x11) app(map1(x14),x15) -> map2(x14,x15) app(map0(),x14) -> map1(x14) app(cons1(x18),x19) -> cons2(x18,x19) app(cons0(),x18) -> cons1(x18) app(filter1(x21),x22) -> filter2(x21,x22) app(filter0(),x21) -> filter1(x21) app(filter23(x24,x25,x26),x27) -> filter24(x24,x25,x26,x27) app(filter22(x24,x25),x26) -> filter23(x24,x25,x26) app(filter21(x24),x25) -> filter22(x24,x25) app(filter20(),x24) -> filter21(x24) eta-rules: problem: \2(x,x) -> e0() \2(e0(),x) -> x \2(x,.2(x,y)) -> y \2(/2(x,y),x) -> y /2(x,x) -> e0() /2(x,e0()) -> x /2(.2(y,x),x) -> y /2(x,\2(y,x)) -> y .2(e0(),x) -> x .2(x,e0()) -> x .2(x,\2(x,y)) -> y .2(/2(y,x),x) -> y map2(f,nil0()) -> nil0() map2(f,cons2(x,xs)) -> cons2(app(f,x),map2(f,xs)) filter2(f,nil0()) -> nil0() filter2(f,cons2(x,xs)) -> filter24(app(f,x),f,x,xs) filter24(true0(),f,x,xs) -> cons2(x,filter2(f,xs)) filter24(false0(),f,x,xs) -> filter2(f,xs) app(\1(x4),x5) -> \2(x4,x5) app(\0(),x4) -> \1(x4) app(.1(x8),x9) -> .2(x8,x9) app(.0(),x8) -> .1(x8) app(/1(x11),x12) -> /2(x11,x12) app(/0(),x11) -> /1(x11) app(map1(x14),x15) -> map2(x14,x15) app(map0(),x14) -> map1(x14) app(cons1(x18),x19) -> cons2(x18,x19) app(cons0(),x18) -> cons1(x18) app(filter1(x21),x22) -> filter2(x21,x22) app(filter0(),x21) -> filter1(x21) app(filter23(x24,x25,x26),x27) -> filter24(x24,x25,x26,x27) app(filter22(x24,x25),x26) -> filter23(x24,x25,x26) app(filter21(x24),x25) -> filter22(x24,x25) app(filter20(),x24) -> filter21(x24) DP Processor: DPs:
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