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TRS Stand 20472 pair #381713358
details
property
value
status
complete
benchmark
#3.48.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n114.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)
1.30705904961 seconds
cpu usage
3.614747269
max memory
3.48381184E8
stage attributes
key
value
output-size
32887
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(),0()) -> true() app(f(),1()) -> false() app(f(),app(s(),x)) -> app(f(),x) app(app(app(if(),true()),app(s(),x)),app(s(),y)) -> app(s(),x) app(app(app(if(),false()),app(s(),x)),app(s(),y)) -> app(s(),y) app(app(g(),x),app(c(),y)) -> app(c(),app(app(g(),x),y)) app(app(g(),x),app(c(),y)) -> app(app(g(),x),app(app(app(if(),app(f(),x)),app(c(),app(app(g(),app(s(),x)),y))),app(c(),y))) 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: 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 c ==> c0/0 c1/1 g ==> g0/0 g1/1 g2/2 if ==> if0/0 if1/1 if2/2 if3/3 s ==> s0/0 s1/1 false ==> false0/0 1 ==> 10/0 true ==> true0/0 0 ==> 00/0 f ==> f0/0 f1/1 uncurry-rules: app(f0(),x4) -> f1(x4) app(s0(),x10) -> s1(x10) app(if2(x12,x13),x14) -> if3(x12,x13,x14) app(if1(x12),x13) -> if2(x12,x13) app(if0(),x12) -> if1(x12) app(g1(x16),x17) -> g2(x16,x17) app(g0(),x16) -> g1(x16) app(c0(),x19) -> c1(x19) app(map1(x21),x22) -> map2(x21,x22) app(map0(),x21) -> map1(x21) app(cons1(x25),x26) -> cons2(x25,x26) app(cons0(),x25) -> cons1(x25) app(filter1(x28),x29) -> filter2(x28,x29) app(filter0(),x28) -> filter1(x28) app(filter23(x31,x32,x33),x34) -> filter24(x31,x32,x33,x34) app(filter22(x31,x32),x33) -> filter23(x31,x32,x33) app(filter21(x31),x32) -> filter22(x31,x32) app(filter20(),x31) -> filter21(x31) eta-rules: problem: f1(00()) -> true0() f1(10()) -> false0() f1(s1(x)) -> f1(x) if3(true0(),s1(x),s1(y)) -> s1(x) if3(false0(),s1(x),s1(y)) -> s1(y) g2(x,c1(y)) -> c1(g2(x,y)) g2(x,c1(y)) -> g2(x,if3(f1(x),c1(g2(s1(x),y)),c1(y))) 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(),x4) -> f1(x4) app(s0(),x10) -> s1(x10) app(if2(x12,x13),x14) -> if3(x12,x13,x14) app(if1(x12),x13) -> if2(x12,x13) app(if0(),x12) -> if1(x12) app(g1(x16),x17) -> g2(x16,x17) app(g0(),x16) -> g1(x16) app(c0(),x19) -> c1(x19) app(map1(x21),x22) -> map2(x21,x22) app(map0(),x21) -> map1(x21) app(cons1(x25),x26) -> cons2(x25,x26) app(cons0(),x25) -> cons1(x25) app(filter1(x28),x29) -> filter2(x28,x29) app(filter0(),x28) -> filter1(x28) app(filter23(x31,x32,x33),x34) -> filter24(x31,x32,x33,x34) app(filter22(x31,x32),x33) -> filter23(x31,x32,x33) app(filter21(x31),x32) -> filter22(x31,x32) app(filter20(),x31) -> filter21(x31) DP Processor: DPs: f{1,#}(s1(x)) -> f{1,#}(x) g{2,#}(x,c1(y)) -> g{2,#}(x,y)
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