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TRS Standard pair #516965044
details
property
value
status
complete
benchmark
016.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n074.star.cs.uiowa.edu
space
AotoYamada_05
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.695383071899 seconds
cpu usage
1.240759617
max memory
2.33254912E8
stage attributes
key
value
output-size
13750
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2 /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem: app(app(neq(),0()),0()) -> false() app(app(neq(),0()),app(s(),y)) -> true() app(app(neq(),app(s(),x)),0()) -> true() app(app(neq(),app(s(),x)),app(s(),y)) -> app(app(neq(),x),y) app(app(filter(),f),nil()) -> nil() app(app(filter(),f),app(app(cons(),y),ys)) -> app(app(app(filtersub(),app(f,y)),f),app(app(cons(),y),ys)) app(app(app(filtersub(),true()),f),app(app(cons(),y),ys)) -> app(app(cons(),y),app(app(filter(),f),ys)) app(app(app(filtersub(),false()),f),app(app(cons(),y),ys)) -> app(app(filter(),f),ys) nonzero() -> app(filter(),app(neq(),0())) Proof: Extended Uncurrying Processor: application symbol: app symbol table: nonzero ==> nonzero0/0 filtersub ==> filtersub0/0 filtersub1/1 filtersub2/2 filtersub3/3 cons ==> cons0/0 cons1/1 cons2/2 nil ==> nil0/0 filter ==> filter0/0 filter1/1 filter2/2 true ==> true0/0 s ==> s0/0 s1/1 false ==> false0/0 0 ==> 00/0 neq ==> neq0/0 neq1/1 neq2/2 uncurry-rules: app(neq1(x4),x5) -> neq2(x4,x5) app(neq0(),x4) -> neq1(x4) app(s0(),x9) -> s1(x9) app(filter1(x12),x13) -> filter2(x12,x13) app(filter0(),x12) -> filter1(x12) app(cons1(x16),x17) -> cons2(x16,x17) app(cons0(),x16) -> cons1(x16) app(filtersub2(x19,x20),x21) -> filtersub3(x19,x20,x21) app(filtersub1(x19),x20) -> filtersub2(x19,x20) app(filtersub0(),x19) -> filtersub1(x19) eta-rules: problem: neq2(00(),00()) -> false0() neq2(00(),s1(y)) -> true0() neq2(s1(x),00()) -> true0() neq2(s1(x),s1(y)) -> neq2(x,y) filter2(f,nil0()) -> nil0() filter2(f,cons2(y,ys)) -> filtersub3(app(f,y),f,cons2(y,ys)) filtersub3(true0(),f,cons2(y,ys)) -> cons2(y,filter2(f,ys)) filtersub3(false0(),f,cons2(y,ys)) -> filter2(f,ys) nonzero0() -> filter1(neq1(00())) app(neq1(x4),x5) -> neq2(x4,x5) app(neq0(),x4) -> neq1(x4) app(s0(),x9) -> s1(x9) app(filter1(x12),x13) -> filter2(x12,x13) app(filter0(),x12) -> filter1(x12) app(cons1(x16),x17) -> cons2(x16,x17) app(cons0(),x16) -> cons1(x16) app(filtersub2(x19,x20),x21) -> filtersub3(x19,x20,x21) app(filtersub1(x19),x20) -> filtersub2(x19,x20) app(filtersub0(),x19) -> filtersub1(x19) DP Processor: DPs: neq{2,#}(s1(x),s1(y)) -> neq{2,#}(x,y) filter{2,#}(f,cons2(y,ys)) -> app#(f,y) filter{2,#}(f,cons2(y,ys)) -> filtersub{3,#}(app(f,y),f,cons2(y,ys)) filtersub{3,#}(true0(),f,cons2(y,ys)) -> filter{2,#}(f,ys) filtersub{3,#}(false0(),f,cons2(y,ys)) -> filter{2,#}(f,ys) app#(neq1(x4),x5) -> neq{2,#}(x4,x5) app#(filter1(x12),x13) -> filter{2,#}(x12,x13) app#(filtersub2(x19,x20),x21) -> filtersub{3,#}(x19,x20,x21) TRS: neq2(00(),00()) -> false0() neq2(00(),s1(y)) -> true0() neq2(s1(x),00()) -> true0() neq2(s1(x),s1(y)) -> neq2(x,y) filter2(f,nil0()) -> nil0() filter2(f,cons2(y,ys)) -> filtersub3(app(f,y),f,cons2(y,ys)) filtersub3(true0(),f,cons2(y,ys)) -> cons2(y,filter2(f,ys)) filtersub3(false0(),f,cons2(y,ys)) -> filter2(f,ys) nonzero0() -> filter1(neq1(00())) app(neq1(x4),x5) -> neq2(x4,x5) app(neq0(),x4) -> neq1(x4) app(s0(),x9) -> s1(x9) app(filter1(x12),x13) -> filter2(x12,x13) app(filter0(),x12) -> filter1(x12) app(cons1(x16),x17) -> cons2(x16,x17) app(cons0(),x16) -> cons1(x16) app(filtersub2(x19,x20),x21) -> filtersub3(x19,x20,x21) app(filtersub1(x19),x20) -> filtersub2(x19,x20) app(filtersub0(),x19) -> filtersub1(x19) TDG Processor:
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