hamiltonian_path([v1,v2,v3,v6,v4,v5]).
hamiltonian_path([v1,v2,v6,v3,v4,v5]).
hamiltonian_path([v1,v3,v6,v2,v4,v5]).
hamiltonian_path([v1,v3,v2,v6,v4,v5]).
hamiltonian_path([v1,v5,v4,v6,v2,v3]).
hamiltonian_path([v1,v5,v4,v6,v3,v2]).
hamiltonian_path([v1,v5,v4,v2,v3,v6]).
hamiltonian_path([v1,v5,v4,v2,v6,v3]).
hamiltonian_path([v1,v5,v4,v3,v6,v2]).
hamiltonian_path([v1,v5,v4,v3,v2,v6]).
hamiltonian_path([v1,v6,v2,v3,v4,v5]).
hamiltonian_path([v1,v6,v3,v2,v4,v5]).
hamiltonian_path([v2,v3,v4,v5,v1,v6]).
hamiltonian_path([v2,v3,v4,v6,v1,v5]).
hamiltonian_path([v2,v3,v6,v1,v5,v4]).
hamiltonian_path([v2,v3,v6,v4,v5,v1]).
hamiltonian_path([v2,v3,v1,v5,v4,v6]).
hamiltonian_path([v2,v3,v1,v6,v4,v5]).
hamiltonian_path([v2,v4,v5,v1,v3,v6]).
hamiltonian_path([v2,v4,v5,v1,v6,v3]).
hamiltonian_path([v2,v4,v6,v3,v1,v5]).
hamiltonian_path([v2,v4,v3,v6,v1,v5]).
hamiltonian_path([v2,v6,v1,v3,v4,v5]).
hamiltonian_path([v2,v6,v1,v5,v4,v3]).
hamiltonian_path([v2,v6,v3,v4,v5,v1]).
hamiltonian_path([v2,v6,v3,v1,v5,v4]).
hamiltonian_path([v2,v6,v4,v5,v1,v3]).
hamiltonian_path([v2,v6,v4,v3,v1,v5]).
hamiltonian_path([v2,v1,v3,v6,v4,v5]).
hamiltonian_path([v2,v1,v5,v4,v6,v3]).
hamiltonian_path([v2,v1,v5,v4,v3,v6]).
hamiltonian_path([v2,v1,v6,v3,v4,v5]).
hamiltonian_path([v3,v4,v5,v1,v2,v6]).
hamiltonian_path([v3,v4,v5,v1,v6,v2]).
hamiltonian_path([v3,v4,v6,v2,v1,v5]).
hamiltonian_path([v3,v4,v2,v6,v1,v5]).
hamiltonian_path([v3,v6,v1,v2,v4,v5]).
hamiltonian_path([v3,v6,v1,v5,v4,v2]).
hamiltonian_path([v3,v6,v2,v4,v5,v1]).
hamiltonian_path([v3,v6,v2,v1,v5,v4]).
hamiltonian_path([v3,v6,v4,v5,v1,v2]).
hamiltonian_path([v3,v6,v4,v2,v1,v5]).
hamiltonian_path([v3,v1,v2,v6,v4,v5]).
hamiltonian_path([v3,v1,v5,v4,v6,v2]).
hamiltonian_path([v3,v1,v5,v4,v2,v6]).
hamiltonian_path([v3,v1,v6,v2,v4,v5]).
hamiltonian_path([v3,v2,v4,v5,v1,v6]).
hamiltonian_path([v3,v2,v4,v6,v1,v5]).
hamiltonian_path([v3,v2,v6,v1,v5,v4]).
hamiltonian_path([v3,v2,v6,v4,v5,v1]).
hamiltonian_path([v3,v2,v1,v5,v4,v6]).
hamiltonian_path([v3,v2,v1,v6,v4,v5]).
hamiltonian_path([v4,v5,v1,v2,v3,v6]).
hamiltonian_path([v4,v5,v1,v2,v6,v3]).
hamiltonian_path([v4,v5,v1,v3,v6,v2]).
hamiltonian_path([v4,v5,v1,v3,v2,v6]).
hamiltonian_path([v4,v5,v1,v6,v2,v3]).
hamiltonian_path([v4,v5,v1,v6,v3,v2]).
hamiltonian_path([v4,v6,v2,v3,v1,v5]).
hamiltonian_path([v4,v6,v3,v2,v1,v5]).
hamiltonian_path([v4,v2,v3,v6,v1,v5]).
hamiltonian_path([v4,v2,v6,v3,v1,v5]).
hamiltonian_path([v4,v3,v6,v2,v1,v5]).
hamiltonian_path([v4,v3,v2,v6,v1,v5]).
hamiltonian_path([v5,v1,v2,v3,v4,v6]).
hamiltonian_path([v5,v1,v2,v3,v6,v4]).
hamiltonian_path([v5,v1,v2,v4,v6,v3]).
hamiltonian_path([v5,v1,v2,v4,v3,v6]).
hamiltonian_path([v5,v1,v2,v6,v3,v4]).
hamiltonian_path([v5,v1,v2,v6,v4,v3]).
hamiltonian_path([v5,v1,v3,v4,v6,v2]).
hamiltonian_path([v5,v1,v3,v4,v2,v6]).
hamiltonian_path([v5,v1,v3,v6,v2,v4]).
hamiltonian_path([v5,v1,v3,v6,v4,v2]).
hamiltonian_path([v5,v1,v3,v2,v4,v6]).
hamiltonian_path([v5,v1,v3,v2,v6,v4]).
hamiltonian_path([v5,v1,v6,v2,v3,v4]).
hamiltonian_path([v5,v1,v6,v2,v4,v3]).
hamiltonian_path([v5,v1,v6,v3,v4,v2]).
hamiltonian_path([v5,v1,v6,v3,v2,v4]).
hamiltonian_path([v5,v1,v6,v4,v2,v3]).
hamiltonian_path([v5,v1,v6,v4,v3,v2]).
hamiltonian_path([v5,v4,v6,v1,v2,v3]).
hamiltonian_path([v5,v4,v6,v1,v3,v2]).
hamiltonian_path([v5,v4,v6,v2,v3,v1]).
hamiltonian_path([v5,v4,v6,v2,v1,v3]).
hamiltonian_path([v5,v4,v6,v3,v1,v2]).
hamiltonian_path([v5,v4,v6,v3,v2,v1]).
hamiltonian_path([v5,v4,v2,v3,v6,v1]).
hamiltonian_path([v5,v4,v2,v3,v1,v6]).
hamiltonian_path([v5,v4,v2,v6,v1,v3]).
hamiltonian_path([v5,v4,v2,v6,v3,v1]).
hamiltonian_path([v5,v4,v2,v1,v3,v6]).
hamiltonian_path([v5,v4,v2,v1,v6,v3]).
hamiltonian_path([v5,v4,v3,v6,v1,v2]).
hamiltonian_path([v5,v4,v3,v6,v2,v1]).
hamiltonian_path([v5,v4,v3,v1,v2,v6]).
hamiltonian_path([v5,v4,v3,v1,v6,v2]).
hamiltonian_path([v5,v4,v3,v2,v6,v1]).
hamiltonian_path([v5,v4,v3,v2,v1,v6]).
hamiltonian_path([v6,v1,v2,v3,v4,v5]).
hamiltonian_path([v6,v1,v3,v2,v4,v5]).
hamiltonian_path([v6,v1,v5,v4,v2,v3]).
hamiltonian_path([v6,v1,v5,v4,v3,v2]).
hamiltonian_path([v6,v2,v3,v4,v5,v1]).
hamiltonian_path([v6,v2,v3,v1,v5,v4]).
hamiltonian_path([v6,v2,v4,v5,v1,v3]).
hamiltonian_path([v6,v2,v4,v3,v1,v5]).
hamiltonian_path([v6,v2,v1,v3,v4,v5]).
hamiltonian_path([v6,v2,v1,v5,v4,v3]).
hamiltonian_path([v6,v3,v4,v5,v1,v2]).
hamiltonian_path([v6,v3,v4,v2,v1,v5]).
hamiltonian_path([v6,v3,v1,v2,v4,v5]).
hamiltonian_path([v6,v3,v1,v5,v4,v2]).
hamiltonian_path([v6,v3,v2,v4,v5,v1]).
hamiltonian_path([v6,v3,v2,v1,v5,v4]).
hamiltonian_path([v6,v4,v5,v1,v2,v3]).
hamiltonian_path([v6,v4,v5,v1,v3,v2]).
hamiltonian_path([v6,v4,v2,v3,v1,v5]).
hamiltonian_path([v6,v4,v3,v2,v1,v5]).

step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v1, v2, v3, v6, v4, v5]), answer(hamiltonian_path([v1, v2, v3, v6, v4, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v1, v2, v6, v3, v4, v5]), answer(hamiltonian_path([v1, v2, v6, v3, v4, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v1, v3, v6, v2, v4, v5]), answer(hamiltonian_path([v1, v3, v6, v2, v4, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v1, v3, v2, v6, v4, v5]), answer(hamiltonian_path([v1, v3, v2, v6, v4, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v1, v5, v4, v6, v2, v3]), answer(hamiltonian_path([v1, v5, v4, v6, v2, v3]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v1, v5, v4, v6, v3, v2]), answer(hamiltonian_path([v1, v5, v4, v6, v3, v2]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v1, v5, v4, v2, v3, v6]), answer(hamiltonian_path([v1, v5, v4, v2, v3, v6]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v1, v5, v4, v2, v6, v3]), answer(hamiltonian_path([v1, v5, v4, v2, v6, v3]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v1, v5, v4, v3, v6, v2]), answer(hamiltonian_path([v1, v5, v4, v3, v6, v2]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v1, v5, v4, v3, v2, v6]), answer(hamiltonian_path([v1, v5, v4, v3, v2, v6]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v1, v6, v2, v3, v4, v5]), answer(hamiltonian_path([v1, v6, v2, v3, v4, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v1, v6, v3, v2, v4, v5]), answer(hamiltonian_path([v1, v6, v3, v2, v4, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v2, v3, v4, v5, v1, v6]), answer(hamiltonian_path([v2, v3, v4, v5, v1, v6]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v2, v3, v4, v6, v1, v5]), answer(hamiltonian_path([v2, v3, v4, v6, v1, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v2, v3, v6, v1, v5, v4]), answer(hamiltonian_path([v2, v3, v6, v1, v5, v4]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v2, v3, v6, v4, v5, v1]), answer(hamiltonian_path([v2, v3, v6, v4, v5, v1]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v2, v3, v1, v5, v4, v6]), answer(hamiltonian_path([v2, v3, v1, v5, v4, v6]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v2, v3, v1, v6, v4, v5]), answer(hamiltonian_path([v2, v3, v1, v6, v4, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v2, v4, v5, v1, v3, v6]), answer(hamiltonian_path([v2, v4, v5, v1, v3, v6]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v2, v4, v5, v1, v6, v3]), answer(hamiltonian_path([v2, v4, v5, v1, v6, v3]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v2, v4, v6, v3, v1, v5]), answer(hamiltonian_path([v2, v4, v6, v3, v1, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v2, v4, v3, v6, v1, v5]), answer(hamiltonian_path([v2, v4, v3, v6, v1, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v2, v6, v1, v3, v4, v5]), answer(hamiltonian_path([v2, v6, v1, v3, v4, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v2, v6, v1, v5, v4, v3]), answer(hamiltonian_path([v2, v6, v1, v5, v4, v3]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v2, v6, v3, v4, v5, v1]), answer(hamiltonian_path([v2, v6, v3, v4, v5, v1]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v2, v6, v3, v1, v5, v4]), answer(hamiltonian_path([v2, v6, v3, v1, v5, v4]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v2, v6, v4, v5, v1, v3]), answer(hamiltonian_path([v2, v6, v4, v5, v1, v3]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v2, v6, v4, v3, v1, v5]), answer(hamiltonian_path([v2, v6, v4, v3, v1, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v2, v1, v3, v6, v4, v5]), answer(hamiltonian_path([v2, v1, v3, v6, v4, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v2, v1, v5, v4, v6, v3]), answer(hamiltonian_path([v2, v1, v5, v4, v6, v3]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v2, v1, v5, v4, v3, v6]), answer(hamiltonian_path([v2, v1, v5, v4, v3, v6]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v2, v1, v6, v3, v4, v5]), answer(hamiltonian_path([v2, v1, v6, v3, v4, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v3, v4, v5, v1, v2, v6]), answer(hamiltonian_path([v3, v4, v5, v1, v2, v6]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v3, v4, v5, v1, v6, v2]), answer(hamiltonian_path([v3, v4, v5, v1, v6, v2]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v3, v4, v6, v2, v1, v5]), answer(hamiltonian_path([v3, v4, v6, v2, v1, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v3, v4, v2, v6, v1, v5]), answer(hamiltonian_path([v3, v4, v2, v6, v1, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v3, v6, v1, v2, v4, v5]), answer(hamiltonian_path([v3, v6, v1, v2, v4, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v3, v6, v1, v5, v4, v2]), answer(hamiltonian_path([v3, v6, v1, v5, v4, v2]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v3, v6, v2, v4, v5, v1]), answer(hamiltonian_path([v3, v6, v2, v4, v5, v1]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v3, v6, v2, v1, v5, v4]), answer(hamiltonian_path([v3, v6, v2, v1, v5, v4]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v3, v6, v4, v5, v1, v2]), answer(hamiltonian_path([v3, v6, v4, v5, v1, v2]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v3, v6, v4, v2, v1, v5]), answer(hamiltonian_path([v3, v6, v4, v2, v1, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v3, v1, v2, v6, v4, v5]), answer(hamiltonian_path([v3, v1, v2, v6, v4, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v3, v1, v5, v4, v6, v2]), answer(hamiltonian_path([v3, v1, v5, v4, v6, v2]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v3, v1, v5, v4, v2, v6]), answer(hamiltonian_path([v3, v1, v5, v4, v2, v6]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v3, v1, v6, v2, v4, v5]), answer(hamiltonian_path([v3, v1, v6, v2, v4, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v3, v2, v4, v5, v1, v6]), answer(hamiltonian_path([v3, v2, v4, v5, v1, v6]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v3, v2, v4, v6, v1, v5]), answer(hamiltonian_path([v3, v2, v4, v6, v1, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v3, v2, v6, v1, v5, v4]), answer(hamiltonian_path([v3, v2, v6, v1, v5, v4]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v3, v2, v6, v4, v5, v1]), answer(hamiltonian_path([v3, v2, v6, v4, v5, v1]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v3, v2, v1, v5, v4, v6]), answer(hamiltonian_path([v3, v2, v1, v5, v4, v6]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v3, v2, v1, v6, v4, v5]), answer(hamiltonian_path([v3, v2, v1, v6, v4, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v4, v5, v1, v2, v3, v6]), answer(hamiltonian_path([v4, v5, v1, v2, v3, v6]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v4, v5, v1, v2, v6, v3]), answer(hamiltonian_path([v4, v5, v1, v2, v6, v3]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v4, v5, v1, v3, v6, v2]), answer(hamiltonian_path([v4, v5, v1, v3, v6, v2]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v4, v5, v1, v3, v2, v6]), answer(hamiltonian_path([v4, v5, v1, v3, v2, v6]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v4, v5, v1, v6, v2, v3]), answer(hamiltonian_path([v4, v5, v1, v6, v2, v3]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v4, v5, v1, v6, v3, v2]), answer(hamiltonian_path([v4, v5, v1, v6, v3, v2]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v4, v6, v2, v3, v1, v5]), answer(hamiltonian_path([v4, v6, v2, v3, v1, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v4, v6, v3, v2, v1, v5]), answer(hamiltonian_path([v4, v6, v3, v2, v1, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v4, v2, v3, v6, v1, v5]), answer(hamiltonian_path([v4, v2, v3, v6, v1, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v4, v2, v6, v3, v1, v5]), answer(hamiltonian_path([v4, v2, v6, v3, v1, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v4, v3, v6, v2, v1, v5]), answer(hamiltonian_path([v4, v3, v6, v2, v1, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v4, v3, v2, v6, v1, v5]), answer(hamiltonian_path([v4, v3, v2, v6, v1, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v1, v2, v3, v4, v6]), answer(hamiltonian_path([v5, v1, v2, v3, v4, v6]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v1, v2, v3, v6, v4]), answer(hamiltonian_path([v5, v1, v2, v3, v6, v4]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v1, v2, v4, v6, v3]), answer(hamiltonian_path([v5, v1, v2, v4, v6, v3]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v1, v2, v4, v3, v6]), answer(hamiltonian_path([v5, v1, v2, v4, v3, v6]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v1, v2, v6, v3, v4]), answer(hamiltonian_path([v5, v1, v2, v6, v3, v4]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v1, v2, v6, v4, v3]), answer(hamiltonian_path([v5, v1, v2, v6, v4, v3]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v1, v3, v4, v6, v2]), answer(hamiltonian_path([v5, v1, v3, v4, v6, v2]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v1, v3, v4, v2, v6]), answer(hamiltonian_path([v5, v1, v3, v4, v2, v6]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v1, v3, v6, v2, v4]), answer(hamiltonian_path([v5, v1, v3, v6, v2, v4]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v1, v3, v6, v4, v2]), answer(hamiltonian_path([v5, v1, v3, v6, v4, v2]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v1, v3, v2, v4, v6]), answer(hamiltonian_path([v5, v1, v3, v2, v4, v6]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v1, v3, v2, v6, v4]), answer(hamiltonian_path([v5, v1, v3, v2, v6, v4]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v1, v6, v2, v3, v4]), answer(hamiltonian_path([v5, v1, v6, v2, v3, v4]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v1, v6, v2, v4, v3]), answer(hamiltonian_path([v5, v1, v6, v2, v4, v3]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v1, v6, v3, v4, v2]), answer(hamiltonian_path([v5, v1, v6, v3, v4, v2]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v1, v6, v3, v2, v4]), answer(hamiltonian_path([v5, v1, v6, v3, v2, v4]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v1, v6, v4, v2, v3]), answer(hamiltonian_path([v5, v1, v6, v4, v2, v3]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v1, v6, v4, v3, v2]), answer(hamiltonian_path([v5, v1, v6, v4, v3, v2]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v4, v6, v1, v2, v3]), answer(hamiltonian_path([v5, v4, v6, v1, v2, v3]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v4, v6, v1, v3, v2]), answer(hamiltonian_path([v5, v4, v6, v1, v3, v2]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v4, v6, v2, v3, v1]), answer(hamiltonian_path([v5, v4, v6, v2, v3, v1]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v4, v6, v2, v1, v3]), answer(hamiltonian_path([v5, v4, v6, v2, v1, v3]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v4, v6, v3, v1, v2]), answer(hamiltonian_path([v5, v4, v6, v3, v1, v2]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v4, v6, v3, v2, v1]), answer(hamiltonian_path([v5, v4, v6, v3, v2, v1]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v4, v2, v3, v6, v1]), answer(hamiltonian_path([v5, v4, v2, v3, v6, v1]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v4, v2, v3, v1, v6]), answer(hamiltonian_path([v5, v4, v2, v3, v1, v6]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v4, v2, v6, v1, v3]), answer(hamiltonian_path([v5, v4, v2, v6, v1, v3]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v4, v2, v6, v3, v1]), answer(hamiltonian_path([v5, v4, v2, v6, v3, v1]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v4, v2, v1, v3, v6]), answer(hamiltonian_path([v5, v4, v2, v1, v3, v6]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v4, v2, v1, v6, v3]), answer(hamiltonian_path([v5, v4, v2, v1, v6, v3]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v4, v3, v6, v1, v2]), answer(hamiltonian_path([v5, v4, v3, v6, v1, v2]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v4, v3, v6, v2, v1]), answer(hamiltonian_path([v5, v4, v3, v6, v2, v1]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v4, v3, v1, v2, v6]), answer(hamiltonian_path([v5, v4, v3, v1, v2, v6]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v4, v3, v1, v6, v2]), answer(hamiltonian_path([v5, v4, v3, v1, v6, v2]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v4, v3, v2, v6, v1]), answer(hamiltonian_path([v5, v4, v3, v2, v6, v1]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v5, v4, v3, v2, v1, v6]), answer(hamiltonian_path([v5, v4, v3, v2, v1, v6]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v6, v1, v2, v3, v4, v5]), answer(hamiltonian_path([v6, v1, v2, v3, v4, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v6, v1, v3, v2, v4, v5]), answer(hamiltonian_path([v6, v1, v3, v2, v4, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v6, v1, v5, v4, v2, v3]), answer(hamiltonian_path([v6, v1, v5, v4, v2, v3]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v6, v1, v5, v4, v3, v2]), answer(hamiltonian_path([v6, v1, v5, v4, v3, v2]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v6, v2, v3, v4, v5, v1]), answer(hamiltonian_path([v6, v2, v3, v4, v5, v1]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v6, v2, v3, v1, v5, v4]), answer(hamiltonian_path([v6, v2, v3, v1, v5, v4]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v6, v2, v4, v5, v1, v3]), answer(hamiltonian_path([v6, v2, v4, v5, v1, v3]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v6, v2, v4, v3, v1, v5]), answer(hamiltonian_path([v6, v2, v4, v3, v1, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v6, v2, v1, v3, v4, v5]), answer(hamiltonian_path([v6, v2, v1, v3, v4, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v6, v2, v1, v5, v4, v3]), answer(hamiltonian_path([v6, v2, v1, v5, v4, v3]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v6, v3, v4, v5, v1, v2]), answer(hamiltonian_path([v6, v3, v4, v5, v1, v2]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v6, v3, v4, v2, v1, v5]), answer(hamiltonian_path([v6, v3, v4, v2, v1, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v6, v3, v1, v2, v4, v5]), answer(hamiltonian_path([v6, v3, v1, v2, v4, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v6, v3, v1, v5, v4, v2]), answer(hamiltonian_path([v6, v3, v1, v5, v4, v2]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v6, v3, v2, v4, v5, v1]), answer(hamiltonian_path([v6, v3, v2, v4, v5, v1]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v6, v3, v2, v1, v5, v4]), answer(hamiltonian_path([v6, v3, v2, v1, v5, v4]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v6, v4, v5, v1, v2, v3]), answer(hamiltonian_path([v6, v4, v5, v1, v2, v3]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v6, v4, v5, v1, v3, v2]), answer(hamiltonian_path([v6, v4, v5, v1, v3, v2]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v6, v4, v2, v3, v1, v5]), answer(hamiltonian_path([v6, v4, v2, v3, v1, v5]))).
step(rule(hamiltonian_path(A), answer(hamiltonian_path(A))), hamiltonian_path([v6, v4, v3, v2, v1, v5]), answer(hamiltonian_path([v6, v4, v3, v2, v1, v5]))).
