# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(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))))=>?[X4]: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),X3),s(X1,X4))))),file('i/f/poset/complete__up', ch4s_posets_completeu_u_up)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/poset/complete__up', aHLu_FALSITY)).
fof(33, 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))))<=>![X3]:(?[X4]: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),X3),s(X1,X4))))&?[X4]: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),X3),s(X1,X4)))))),file('i/f/poset/complete__up', ah4s_posets_completeu_u_def)).
fof(34, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/poset/complete__up', aHLu_BOOLu_CASES)).
fof(35, axiom,p(s(t_bool,t)),file('i/f/poset/complete__up', aHLu_TRUTH)).
fof(37, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)<=>p(s(t_bool,X7))),file('i/f/poset/complete__up', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
