Edge template VI1a

This template is the first one stone 6th row template for which a proof has been handwritten.

R7 C14 Q0 1:BBBBBBBBBRBBBBB Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2 Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3 Sa4 Sb4 Sc4 Sd4 Sn4 Sa5 Sb5 Sa6

Elimination of irrelevant Blue moves
Red has a couple of direct threats to connect, using smaller templates. Blue must play in the carrier of these threats in order to counter them. To prevent Red from connecting Blue must play in the intersection of Red's threats carriers.

edge template IV1a
R7 C14 Q0 1:BBBBBBBBBRBBBBB Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2 Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3 Sa4 Sb4 Sc4 Sd4 Sn4 Sa5 Sb5 Sa6

Pi3 Pj3 Ph4 Ri4 Pf5 Pg5 Ph5 Pi5 Pj5 Pe6 Pf6 Pg6 Ph6 Pi6 Pj6 Pd7 Pe7 Pf7 Pg7 Ph7 Pi7 Pj7

R7 C14 Q0 1:BBBBBBBBBRBBBBB Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2 Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3 Sa4 Sb4 Sc4 Sd4 Sn4 Sa5 Sb5 Sa6

Pi3 Pj3 Ri4 Pj4 Pg5 Ph5 Pi5 Pj5 Pk5 Pf6 Pg6 Ph6 Pi6 Pj6 Pk6 Pe7 Pf7 Pg7 Ph7 Pi7 Pj7 Pk7

edge template IV1b
R7 C14 Q0 1:BBBBBBBBBRBBBBB Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2 Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3 Sa4 Sb4 Sc4 Sd4 Sn4 Sa5 Sb5 Sa6

Pi3 Pj3 Ph4 Ri4 Pj4 Pf5 Pg5 Ph5 Pi5 Pj5 Pk5 Pe6 Pf6 Pg6 Pi6 Pj6 Pk6 Pd7 Pe7 Pf7 Pg7 Ph7 Pi7 Pj7 Pk7

Using the parallel ladder trick
6 moves can furthermore be discared thanks to the Parallel ladder trick. Of course, symmetry will cut our work in half!

We can dispose of 3 moves on the left (and, using mirror symmetry, the corresponding 3 moves on the right), as follows:

R7 C14 Q0 1:BBBBBBBBBRBBBBB Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2 Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3 Sa4 Sb4 Sc4 Sd4 Sn4 Sa5 Sb5 Sa6

Pg5 Pf6 Pe7 N:on Ri4 Bi5 Rh5 Bg7 Rh6 Bh7

At this point, we can use the Parallel ladder trick as follows:

R7 C14 Q0 1:BBBBBBBBBRBBBBB Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2 Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3 Sa4 Sb4 Sc4 Sd4 Sn4 Sa5 Sb5 Sa6

Pg5 Pf6 Pe7 Ri4 Bi5 Rh5 Bg7 Rh6 Bh7 N:on Rk5 Bj6 Ri6 Bi7 Rl4 Bj5 Rk3

Remaining possibilities for Blue
Blue's first move must be one of the following: R7 C14 Q0 1:BBBBBBBBBRBBBBB Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2 Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3 Sa4 Sb4 Sc4 Sd4 Sn4 Sa5 Sb5 Sa6

Pi3 Pj3 Pi4 Ph5 Pi5 Pg6 Pi6 Pf7 Pg7 Ph7 Pi7

Specific defence
For the moves that intersect all the carriers, Red has to find specific answers. Let's deal with the remaining intrusions!

One remaining intrusion on the first row
R7 C14 Q0 1:BBBBBBBBBRBBBBB Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2 Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3 Sa4 Sb4 Sc4 Sd4 Sn4 Sa5 Sb5 Sa6

Bf7

The other remaining intrusion on the first row
R7 C14 Q0 1:BBBBBBBBBRBBBBB Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2 Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3 Sa4 Sb4 Sc4 Sd4 Sn4 Sa5 Sb5 Sa6

Bg7

The remaining intrusion on the second row
R7 C14 Q0 1:BBBBBBBBBRBBBBB Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2 Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3 Sa4 Sb4 Sc4 Sd4 Sn4 Sa5 Sb5 Sa6

Bg6

The remaining intrusion on the third row
R7 C14 Q0 1:BBBBBBBBBRBBBBB Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2 Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3 Sa4 Sb4 Sc4 Sd4 Sn4 Sa5 Sb5 Sa6

Bh5

The remaining intrusion on the fourth row
R7 C14 Q0 1:BBBBBBBBBRBBBBB Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2 Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3 Sa4 Sb4 Sc4 Sd4 Sn4 Sa5 Sb5 Sa6

Bi4

The remaining intrusion on the fifth row
R7 C14 Q0 1:BBBBBBBBBRBBBBB Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2 Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3 Sa4 Sb4 Sc4 Sd4 Sn4 Sa5 Sb5 Sa6

Bi3