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TRS Stand 20472 pair #381713762
details
property
value
status
complete
benchmark
perfect.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n035.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)
1.22007703781 seconds
cpu usage
3.341652473
max memory
3.52354304E8
stage attributes
key
value
output-size
31227
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(perfectp(),0()) -> false() app(perfectp(),app(s(),x)) -> app(app(app(app(f(),x),app(s(),0())),app(s(),x)),app(s(),x)) app(app(app(app(f(),0()),y),0()),u) -> true() app(app(app(app(f(),0()),y),app(s(),z)),u) -> false() app(app(app(app(f(),app(s(),x)),0()),z),u) -> app(app(app(app(f(),x),u),app(app(minus(),z),app(s(),x))),u) app(app(app(app(f(),app(s(),x)),app(s(),y)),z),u) -> app(app(app(if(),app(app(le(),x),y)),app(app(app(app(f(),app(s(),x)),app(app(minus(),y),x)),z),u)), app(app(app(app(f(),x),u),z),u)) 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 le ==> le0/0 le1/1 le2/2 if ==> if0/0 if1/1 if2/2 if3/3 minus ==> minus0/0 minus1/1 minus2/2 true ==> true0/0 f ==> f0/0 f1/1 f2/2 f3/3 f4/4 s ==> s0/0 s1/1 false ==> false0/0 0 ==> 00/0 perfectp ==> perfectp0/0 perfectp1/1 uncurry-rules: app(perfectp0(),x6) -> perfectp1(x6) app(s0(),x10) -> s1(x10) app(f3(x12,x13,x14),x15) -> f4(x12,x13,x14,x15) app(f2(x12,x13),x14) -> f3(x12,x13,x14) app(f1(x12),x13) -> f2(x12,x13) app(f0(),x12) -> f1(x12) app(minus1(x18),x19) -> minus2(x18,x19) app(minus0(),x18) -> minus1(x18) app(if2(x21,x22),x23) -> if3(x21,x22,x23) app(if1(x21),x22) -> if2(x21,x22) app(if0(),x21) -> if1(x21) app(le1(x25),x26) -> le2(x25,x26) app(le0(),x25) -> le1(x25) app(map1(x28),x29) -> map2(x28,x29) app(map0(),x28) -> map1(x28) app(cons1(x32),x33) -> cons2(x32,x33) app(cons0(),x32) -> cons1(x32) app(filter1(x35),x36) -> filter2(x35,x36) app(filter0(),x35) -> filter1(x35) app(filter23(x38,x39,x40),x41) -> filter24(x38,x39,x40,x41) app(filter22(x38,x39),x40) -> filter23(x38,x39,x40) app(filter21(x38),x39) -> filter22(x38,x39) app(filter20(),x38) -> filter21(x38) eta-rules: problem: perfectp1(00()) -> false0() perfectp1(s1(x)) -> f4(x,s1(00()),s1(x),s1(x)) f4(00(),y,00(),u) -> true0() f4(00(),y,s1(z),u) -> false0() f4(s1(x),00(),z,u) -> f4(x,u,minus2(z,s1(x)),u) f4(s1(x),s1(y),z,u) -> if3(le2(x,y),f4(s1(x),minus2(y,x),z,u),f4(x,u,z,u)) 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(perfectp0(),x6) -> perfectp1(x6) app(s0(),x10) -> s1(x10) app(f3(x12,x13,x14),x15) -> f4(x12,x13,x14,x15) app(f2(x12,x13),x14) -> f3(x12,x13,x14) app(f1(x12),x13) -> f2(x12,x13) app(f0(),x12) -> f1(x12) app(minus1(x18),x19) -> minus2(x18,x19) app(minus0(),x18) -> minus1(x18) app(if2(x21,x22),x23) -> if3(x21,x22,x23) app(if1(x21),x22) -> if2(x21,x22) app(if0(),x21) -> if1(x21) app(le1(x25),x26) -> le2(x25,x26) app(le0(),x25) -> le1(x25) app(map1(x28),x29) -> map2(x28,x29) app(map0(),x28) -> map1(x28) app(cons1(x32),x33) -> cons2(x32,x33) app(cons0(),x32) -> cons1(x32)
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