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TRS Stand 20472 pair #381709685
details
property
value
status
complete
benchmark
zerolist.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n100.star.cs.uiowa.edu
space
AProVE_09_Inductive
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
10.5560269356 seconds
cpu usage
40.817013204
max memory
5.99896064E8
stage attributes
key
value
output-size
5247
starexec-result
MAYBE
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- MAYBE Problem: sub(0(),0()) -> 0() sub(s(x),0()) -> s(x) sub(0(),s(x)) -> 0() sub(s(x),s(y)) -> sub(x,y) zero(nil()) -> zero2(0(),nil()) zero(cons(x,xs)) -> zero2(sub(x,x),cons(x,xs)) zero2(0(),nil()) -> nil() zero2(0(),cons(x,xs)) -> cons(sub(x,x),zero(xs)) zero2(s(y),nil()) -> zero(nil()) zero2(s(y),cons(x,xs)) -> zero(cons(x,xs)) Proof: DP Processor: DPs: sub#(s(x),s(y)) -> sub#(x,y) zero#(nil()) -> zero2#(0(),nil()) zero#(cons(x,xs)) -> sub#(x,x) zero#(cons(x,xs)) -> zero2#(sub(x,x),cons(x,xs)) zero2#(0(),cons(x,xs)) -> zero#(xs) zero2#(0(),cons(x,xs)) -> sub#(x,x) zero2#(s(y),nil()) -> zero#(nil()) zero2#(s(y),cons(x,xs)) -> zero#(cons(x,xs)) TRS: sub(0(),0()) -> 0() sub(s(x),0()) -> s(x) sub(0(),s(x)) -> 0() sub(s(x),s(y)) -> sub(x,y) zero(nil()) -> zero2(0(),nil()) zero(cons(x,xs)) -> zero2(sub(x,x),cons(x,xs)) zero2(0(),nil()) -> nil() zero2(0(),cons(x,xs)) -> cons(sub(x,x),zero(xs)) zero2(s(y),nil()) -> zero(nil()) zero2(s(y),cons(x,xs)) -> zero(cons(x,xs)) EDG Processor: DPs: sub#(s(x),s(y)) -> sub#(x,y) zero#(nil()) -> zero2#(0(),nil()) zero#(cons(x,xs)) -> sub#(x,x) zero#(cons(x,xs)) -> zero2#(sub(x,x),cons(x,xs)) zero2#(0(),cons(x,xs)) -> zero#(xs) zero2#(0(),cons(x,xs)) -> sub#(x,x) zero2#(s(y),nil()) -> zero#(nil()) zero2#(s(y),cons(x,xs)) -> zero#(cons(x,xs)) TRS: sub(0(),0()) -> 0() sub(s(x),0()) -> s(x) sub(0(),s(x)) -> 0() sub(s(x),s(y)) -> sub(x,y) zero(nil()) -> zero2(0(),nil()) zero(cons(x,xs)) -> zero2(sub(x,x),cons(x,xs)) zero2(0(),nil()) -> nil() zero2(0(),cons(x,xs)) -> cons(sub(x,x),zero(xs)) zero2(s(y),nil()) -> zero(nil()) zero2(s(y),cons(x,xs)) -> zero(cons(x,xs)) graph: zero2#(s(y),cons(x,xs)) -> zero#(cons(x,xs)) -> zero#(cons(x,xs)) -> sub#(x,x) zero2#(s(y),cons(x,xs)) -> zero#(cons(x,xs)) -> zero#(cons(x,xs)) -> zero2#(sub(x,x),cons(x,xs)) zero2#(s(y),nil()) -> zero#(nil()) -> zero#(nil()) -> zero2#(0(),nil()) zero2#(0(),cons(x,xs)) -> zero#(xs) -> zero#(nil()) -> zero2#(0(),nil()) zero2#(0(),cons(x,xs)) -> zero#(xs) -> zero#(cons(x,xs)) -> sub#(x,x) zero2#(0(),cons(x,xs)) -> zero#(xs) -> zero#(cons(x,xs)) -> zero2#(sub(x,x),cons(x,xs)) zero2#(0(),cons(x,xs)) -> sub#(x,x) -> sub#(s(x),s(y)) -> sub#(x,y) zero#(cons(x,xs)) -> zero2#(sub(x,x),cons(x,xs)) -> zero2#(0(),cons(x,xs)) -> zero#(xs) zero#(cons(x,xs)) -> zero2#(sub(x,x),cons(x,xs)) -> zero2#(0(),cons(x,xs)) -> sub#(x,x) zero#(cons(x,xs)) -> zero2#(sub(x,x),cons(x,xs)) -> zero2#(s(y),cons(x,xs)) -> zero#(cons(x,xs)) zero#(cons(x,xs)) -> sub#(x,x) -> sub#(s(x),s(y)) -> sub#(x,y) sub#(s(x),s(y)) -> sub#(x,y) -> sub#(s(x),s(y)) -> sub#(x,y) SCC Processor: #sccs: 2 #rules: 4 #arcs: 12/64 DPs: zero2#(s(y),cons(x,xs)) -> zero#(cons(x,xs)) zero#(cons(x,xs)) -> zero2#(sub(x,x),cons(x,xs)) zero2#(0(),cons(x,xs)) -> zero#(xs) TRS: sub(0(),0()) -> 0() sub(s(x),0()) -> s(x) sub(0(),s(x)) -> 0() sub(s(x),s(y)) -> sub(x,y) zero(nil()) -> zero2(0(),nil())
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