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<source>toughnut.out</source>

<heading><![CDATA[
Mace4 (32) version June-2006C, June 2006.
Process 13048 was started by mccune on cleo.thornwood,
Mon Jun 19 16:40:33 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.

clauses(theory).
- G3(0,x).
- G4(x,0).
- G1(7,x).
- 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(x,y) | - G1(x,z) | G3(y,z).
- S(x,y) | G1(x,z) | - G3(y,z).
- S(x,y) | - G2(z,x) | G4(z,y).
- S(x,y) | G2(z,x) | - G4(z,y).
end_of_list.
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