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1.10 before-started-by.in
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1.10 before-started-by.in
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% Saved by Prover9-Mace4 Version 0.5B, March 2008 (Dec 2007 LADR).
set(ignore_option_dependencies). % GUI handles dependencies
if(Prover9). % Options for Prover9
assign(max_seconds, 60).
end_if.
if(Mace4). % Options for Mace4
assign(max_seconds, 60).
end_if.
formulas(assumptions).
%original interval meeting axioms
(all i all j all k all m
((meets(i,k)
& meets(j,k)
& meets(i,m))
->
meets(j,m))).
(all i all j all k all l
((meets(i,j)
& meets(k,l))
->
(meets(i,l)
| (exists n
((meets(i,n) & meets(n,l))
| (meets(k,n) & meets(n,j))))))).
(all i all j
(meets(i,j)
->
-meets(j,i))).
(all i all j all k all m
((meets(i,j)
& meets(j,k)
& meets(k,m))
->
(exists n
(meets(i,n)
& meets(n,m))))).
all x all y (s(x,y) <-> si(y,x)).
%definition
(all x all y
(b(x,y)
<->
(exists z
(meets(x,z)
& meets(z,y))))).
(all i all j
(s(i,j)
<->
(exists k exists m exists n
(meets(k,i)
& meets(i,m)
& meets(m,n)
& meets(k,j)
& meets(j,n))))).
end_of_list.
formulas(goals).
all x all y all z ((b(x,y) & si(y,z)) -> b(x,z)).
end_of_list.