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<source>toughnut.out</source>

<heading><![CDATA[
Mace4 (32) version August-2006A, August 2006.
Process 10706 was started by mccune on cleo.thornwood,
Sat Aug 12 20:58:13 2006
The command was "/home/mccune/bin/mace4 -f toughnut.in".
]]></heading>

<input><![CDATA[
formulas(theory).
(all x all y (G5(x,y) <-> x = 0 & y = 0 | x = 7 & y = 7)).
end_of_list.

formulas(theory).
-G3(0,y).
-G4(x,0).
-G1(7,y).
-G2(x,7).
S(0,1).
S(1,2).
S(2,3).
S(3,4).
S(4,5).
S(5,6).
S(6,7).
-S(x,y) | L(x,y).
-L(x,y) | -L(y,z) | L(x,z).
-L(x,y) | -L(y,z) | -S(x,z).
-L(x,y) | x != y.
G1(x,y) | G2(x,y) | G3(x,y) | G4(x,y) | G5(x,y).
-G1(x,y) | -G2(x,y).
-G1(x,y) | -G3(x,y).
-G1(x,y) | -G4(x,y).
-G1(x,y) | -G5(x,y).
-G2(x,y) | -G3(x,y).
-G2(x,y) | -G4(x,y).
-G2(x,y) | -G5(x,y).
-G3(x,y) | -G4(x,y).
-G3(x,y) | -G5(x,y).
-G4(x,y) | -G5(x,y).
-S(x1,x2) | -G1(x1,y) | G3(x2,y).
-S(x1,x2) | G1(x1,y) | -G3(x2,y).
-S(y1,y2) | -G2(x,y1) | G4(x,y2).
-S(y1,y2) | G2(x,y1) | -G4(x,y2).
end_of_list.
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