# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:((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))),X2))))&p(s(t_bool,h4s_posets_complete(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_fun(X1,t_fun(X1,t_bool))),X2)))))=>?[X3]:p(s(t_bool,h4s_posets_top(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_fun(X1,t_fun(X1,t_bool))),X2),s(X1,X3))))),file('i/f/poset/complete__top', ch4s_posets_completeu_u_top)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/poset/complete__top', aHLu_TRUTH)).
fof(8, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/poset/complete__top', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(12, axiom,![X1]:![X3]:![X11]:![X12]:(p(s(t_bool,h4s_posets_top(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(X1,X3))))<=>(p(s(t_bool,happ(s(t_fun(X1,t_bool),X11),s(X1,X3))))&![X9]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),X11),s(X1,X9))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X12),s(X1,X9))),s(X1,X3))))))),file('i/f/poset/complete__top', ah4s_posets_topu_u_def)).
fof(13, axiom,![X1]:![X13]:![X3]:?[X14]:?[X12]:s(t_h4s_pairs_prod(X1,X13),X3)=s(t_h4s_pairs_prod(X1,X13),h4s_pairs_u_2c(s(X1,X14),s(X13,X12))),file('i/f/poset/complete__top', ah4s_pairs_ABSu_u_PAIRu_u_THM)).
fof(15, axiom,![X1]:![X2]:(p(s(t_bool,h4s_posets_complete(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_fun(X1,t_fun(X1,t_bool))),X2))))<=>![X19]:(?[X3]:p(s(t_bool,h4s_posets_lub(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_fun(X1,t_fun(X1,t_bool))),X2),s(t_fun(X1,t_bool),X19),s(X1,X3))))&?[X3]:p(s(t_bool,h4s_posets_glb(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_fun(X1,t_fun(X1,t_bool))),X2),s(t_fun(X1,t_bool),X19),s(X1,X3)))))),file('i/f/poset/complete__top', ah4s_posets_completeu_u_def)).
fof(16, axiom,![X1]:![X3]:![X11]:![X12]:![X2]:(p(s(t_bool,h4s_posets_lub(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,t_bool),X2),s(X1,X3))))<=>(p(s(t_bool,happ(s(t_fun(X1,t_bool),X11),s(X1,X3))))&(![X9]:((p(s(t_bool,happ(s(t_fun(X1,t_bool),X11),s(X1,X9))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),X2),s(X1,X9)))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X12),s(X1,X9))),s(X1,X3)))))&![X20]:((p(s(t_bool,happ(s(t_fun(X1,t_bool),X11),s(X1,X20))))&![X9]:((p(s(t_bool,happ(s(t_fun(X1,t_bool),X11),s(X1,X9))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),X2),s(X1,X9)))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X12),s(X1,X9))),s(X1,X20))))))=>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,X20)))))))),file('i/f/poset/complete__top', ah4s_posets_lubu_u_def)).
# SZS output end CNFRefutation
