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TRS Stand 20472 pair #381714119
details
property
value
status
complete
benchmark
#3.17a.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
AG01
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
1.24484705925 seconds
cpu usage
3.638567557
max memory
2.97156608E8
stage attributes
key
value
output-size
6884
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: app(nil(),k) -> k app(l,nil()) -> l app(cons(x,l),k) -> cons(x,app(l,k)) sum(cons(x,nil())) -> cons(x,nil()) sum(cons(x,cons(y,l))) -> sum(cons(plus(x,y),l)) sum(app(l,cons(x,cons(y,k)))) -> sum(app(l,sum(cons(x,cons(y,k))))) plus(0(),y) -> y plus(s(x),y) -> s(plus(x,y)) sum(plus(cons(0(),x),cons(y,l))) -> pred(sum(cons(s(x),cons(y,l)))) pred(cons(s(x),nil())) -> cons(x,nil()) Proof: Matrix Interpretation Processor: dim=1 interpretation: [pred](x0) = x0, [s](x0) = x0, [0] = 4, [plus](x0, x1) = x0 + x1, [sum](x0) = x0, [cons](x0, x1) = x0 + x1, [app](x0, x1) = 4x0 + 2x1, [nil] = 1 orientation: app(nil(),k) = 2k + 4 >= k = k app(l,nil()) = 4l + 2 >= l = l app(cons(x,l),k) = 2k + 4l + 4x >= 2k + 4l + x = cons(x,app(l,k)) sum(cons(x,nil())) = x + 1 >= x + 1 = cons(x,nil()) sum(cons(x,cons(y,l))) = l + x + y >= l + x + y = sum(cons(plus(x,y),l)) sum(app(l,cons(x,cons(y,k)))) = 2k + 4l + 2x + 2y >= 2k + 4l + 2x + 2y = sum(app(l,sum(cons(x,cons(y,k))))) plus(0(),y) = y + 4 >= y = y plus(s(x),y) = x + y >= x + y = s(plus(x,y)) sum(plus(cons(0(),x),cons(y,l))) = l + x + y + 4 >= l + x + y = pred(sum(cons(s(x),cons(y,l)))) pred(cons(s(x),nil())) = x + 1 >= x + 1 = cons(x,nil()) problem: app(cons(x,l),k) -> cons(x,app(l,k)) sum(cons(x,nil())) -> cons(x,nil()) sum(cons(x,cons(y,l))) -> sum(cons(plus(x,y),l)) sum(app(l,cons(x,cons(y,k)))) -> sum(app(l,sum(cons(x,cons(y,k))))) plus(s(x),y) -> s(plus(x,y)) pred(cons(s(x),nil())) -> cons(x,nil()) Matrix Interpretation Processor: dim=1 interpretation: [pred](x0) = 4x0, [s](x0) = x0, [plus](x0, x1) = x0 + x1, [sum](x0) = x0, [cons](x0, x1) = x0 + x1, [app](x0, x1) = 4x0 + 4x1, [nil] = 4 orientation: app(cons(x,l),k) = 4k + 4l + 4x >= 4k + 4l + x = cons(x,app(l,k)) sum(cons(x,nil())) = x + 4 >= x + 4 = cons(x,nil()) sum(cons(x,cons(y,l))) = l + x + y >= l + x + y = sum(cons(plus(x,y),l)) sum(app(l,cons(x,cons(y,k)))) = 4k + 4l + 4x + 4y >= 4k + 4l + 4x + 4y = sum(app(l,sum(cons(x,cons(y,k))))) plus(s(x),y) = x + y >= x + y = s(plus(x,y)) pred(cons(s(x),nil())) = 4x + 16 >= x + 4 = cons(x,nil()) problem: app(cons(x,l),k) -> cons(x,app(l,k)) sum(cons(x,nil())) -> cons(x,nil()) sum(cons(x,cons(y,l))) -> sum(cons(plus(x,y),l)) sum(app(l,cons(x,cons(y,k)))) -> sum(app(l,sum(cons(x,cons(y,k))))) plus(s(x),y) -> s(plus(x,y))
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