# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:((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))),X4))))&(p(s(t_bool,h4s_posets_lfp(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_fun(X1,t_fun(X1,t_bool))),X4),s(t_fun(X1,X1),X5),s(X1,X3))))&p(s(t_bool,h4s_posets_lfp(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_fun(X1,t_fun(X1,t_bool))),X4),s(t_fun(X1,X1),X5),s(X1,X2))))))=>s(X1,X3)=s(X1,X2)),file('i/f/poset/lfp__unique', ch4s_posets_lfpu_u_unique)).
fof(5, axiom,![X1]:![X3]:![X11]:![X12]:![X5]:(p(s(t_bool,h4s_posets_lfp(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),X11),s(t_fun(X1,t_fun(X1,t_bool)),X12))),s(t_fun(X1,X1),X5),s(X1,X3))))<=>(p(s(t_bool,happ(s(t_fun(X1,t_bool),X11),s(X1,X3))))&(s(X1,happ(s(t_fun(X1,X1),X5),s(X1,X3)))=s(X1,X3)&![X6]:((p(s(t_bool,happ(s(t_fun(X1,t_bool),X11),s(X1,X6))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X12),s(X1,happ(s(t_fun(X1,X1),X5),s(X1,X6))))),s(X1,X6)))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X12),s(X1,X3))),s(X1,X6)))))))),file('i/f/poset/lfp__unique', ah4s_posets_lfpu_u_def)).
fof(7, axiom,![X1]:![X16]:![X3]:?[X17]:?[X12]:s(t_h4s_pairs_prod(X1,X16),X3)=s(t_h4s_pairs_prod(X1,X16),h4s_pairs_u_2c(s(X1,X17),s(X16,X12))),file('i/f/poset/lfp__unique', ah4s_pairs_ABSu_u_PAIRu_u_THM)).
fof(8, axiom,![X1]:![X11]:![X12]:(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),X11),s(t_fun(X1,t_fun(X1,t_bool)),X12))))))<=>(?[X3]:p(s(t_bool,happ(s(t_fun(X1,t_bool),X11),s(X1,X3))))&(![X3]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),X11),s(X1,X3))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X12),s(X1,X3))),s(X1,X3)))))&(![X3]:![X6]:((p(s(t_bool,happ(s(t_fun(X1,t_bool),X11),s(X1,X3))))&(p(s(t_bool,happ(s(t_fun(X1,t_bool),X11),s(X1,X6))))&(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X12),s(X1,X3))),s(X1,X6))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X12),s(X1,X6))),s(X1,X3)))))))=>s(X1,X3)=s(X1,X6))&![X3]:![X6]:![X18]:((p(s(t_bool,happ(s(t_fun(X1,t_bool),X11),s(X1,X3))))&(p(s(t_bool,happ(s(t_fun(X1,t_bool),X11),s(X1,X6))))&(p(s(t_bool,happ(s(t_fun(X1,t_bool),X11),s(X1,X18))))&(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X12),s(X1,X3))),s(X1,X6))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X12),s(X1,X6))),s(X1,X18))))))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X12),s(X1,X3))),s(X1,X18))))))))),file('i/f/poset/lfp__unique', ah4s_posets_posetu_u_def)).
# SZS output end CNFRefutation
