# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:((p(s(t_bool,h4s_posets_poset(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_fun(X1,t_fun(X1,t_bool))),h4s_pairs_u_2c(s(t_fun(X1,t_bool),X5),s(t_fun(X1,t_fun(X1,t_bool)),X6))))))&(p(s(t_bool,happ(s(t_fun(X1,t_bool),X5),s(X1,X4))))&(p(s(t_bool,happ(s(t_fun(X1,t_bool),X5),s(X1,X3))))&(p(s(t_bool,happ(s(t_fun(X1,t_bool),X5),s(X1,X2))))&(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X6),s(X1,X4))),s(X1,X3))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X6),s(X1,X3))),s(X1,X2)))))))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X6),s(X1,X4))),s(X1,X2))))),file('i/f/poset/poset__trans', ch4s_posets_posetu_u_trans)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/poset/poset__trans', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/poset/poset__trans', aHLu_FALSITY)).
fof(6, axiom,![X1]:![X5]:![X6]:(p(s(t_bool,h4s_posets_poset(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_fun(X1,t_fun(X1,t_bool))),h4s_pairs_u_2c(s(t_fun(X1,t_bool),X5),s(t_fun(X1,t_fun(X1,t_bool)),X6))))))<=>(?[X4]:p(s(t_bool,happ(s(t_fun(X1,t_bool),X5),s(X1,X4))))&(![X4]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),X5),s(X1,X4))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X6),s(X1,X4))),s(X1,X4)))))&(![X4]:![X3]:((p(s(t_bool,happ(s(t_fun(X1,t_bool),X5),s(X1,X4))))&(p(s(t_bool,happ(s(t_fun(X1,t_bool),X5),s(X1,X3))))&(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X6),s(X1,X4))),s(X1,X3))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X6),s(X1,X3))),s(X1,X4)))))))=>s(X1,X4)=s(X1,X3))&![X4]:![X3]:![X2]:((p(s(t_bool,happ(s(t_fun(X1,t_bool),X5),s(X1,X4))))&(p(s(t_bool,happ(s(t_fun(X1,t_bool),X5),s(X1,X3))))&(p(s(t_bool,happ(s(t_fun(X1,t_bool),X5),s(X1,X2))))&(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X6),s(X1,X4))),s(X1,X3))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X6),s(X1,X3))),s(X1,X2))))))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X6),s(X1,X4))),s(X1,X2))))))))),file('i/f/poset/poset__trans', ah4s_posets_posetu_u_def)).
fof(7, axiom,![X12]:(s(t_bool,X12)=s(t_bool,t)|s(t_bool,X12)=s(t_bool,f)),file('i/f/poset/poset__trans', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
