# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(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),X2),s(t_fun(X1,t_fun(X1,t_bool)),X3))))))=>?[X4]:p(s(t_bool,happ(s(t_fun(X1,t_bool),X2),s(X1,X4))))),file('i/f/poset/poset__nonempty', ch4s_posets_posetu_u_nonempty)).
fof(9, axiom,![X1]:![X2]:![X3]:(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),X2),s(t_fun(X1,t_fun(X1,t_bool)),X3))))))<=>(?[X4]:p(s(t_bool,happ(s(t_fun(X1,t_bool),X2),s(X1,X4))))&(![X4]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),X2),s(X1,X4))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X3),s(X1,X4))),s(X1,X4)))))&(![X4]:![X10]:((p(s(t_bool,happ(s(t_fun(X1,t_bool),X2),s(X1,X4))))&(p(s(t_bool,happ(s(t_fun(X1,t_bool),X2),s(X1,X10))))&(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X3),s(X1,X4))),s(X1,X10))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X3),s(X1,X10))),s(X1,X4)))))))=>s(X1,X4)=s(X1,X10))&![X4]:![X10]:![X12]:((p(s(t_bool,happ(s(t_fun(X1,t_bool),X2),s(X1,X4))))&(p(s(t_bool,happ(s(t_fun(X1,t_bool),X2),s(X1,X10))))&(p(s(t_bool,happ(s(t_fun(X1,t_bool),X2),s(X1,X12))))&(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X3),s(X1,X4))),s(X1,X10))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X3),s(X1,X10))),s(X1,X12))))))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X3),s(X1,X4))),s(X1,X12))))))))),file('i/f/poset/poset__nonempty', ah4s_posets_posetu_u_def)).
# SZS output end CNFRefutation
