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TRS Stand 20472 pair #381713294
details
property
value
status
complete
benchmark
termMonTypes.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n112.star.cs.uiowa.edu
space
Applicative_05
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
0.523618936539 seconds
cpu usage
0.908409842
max memory
1.55578368E8
stage attributes
key
value
output-size
1141
starexec-result
NO
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- NO Problem: ap(f(),x) -> x ap(ap(ap(g(),x),y),ap(s(),z)) -> ap(ap(ap(g(),x),y),ap(ap(x,y),0())) Proof: Extended Uncurrying Processor: application symbol: ap symbol table: 0 ==> 00/0 s ==> s0/0 s1/1 g ==> g0/0 g1/1 g2/2 g3/3 f ==> f0/0 f1/1 uncurry-rules: ap(f0(),x3) -> f1(x3) ap(g2(x5,x6),x7) -> g3(x5,x6,x7) ap(g1(x5),x6) -> g2(x5,x6) ap(g0(),x5) -> g1(x5) ap(s0(),x9) -> s1(x9) eta-rules: problem: f1(x) -> x g3(x,y,s1(z)) -> g3(x,y,ap(ap(x,y),00())) ap(f0(),x3) -> f1(x3) ap(g2(x5,x6),x7) -> g3(x5,x6,x7) ap(g1(x5),x6) -> g2(x5,x6) ap(g0(),x5) -> g1(x5) ap(s0(),x9) -> s1(x9) Unfolding Processor: loop length: 4 terms: g3(f0(),s0(),s1(z)) g3(f0(),s0(),ap(ap(f0(),s0()),00())) g3(f0(),s0(),ap(f1(s0()),00())) g3(f0(),s0(),ap(s0(),00())) context: [] substitution: z -> 00() Qed
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