# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),X4)=s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),X3)<=>![X5]:![X6]:s(t_bool,h4s_bools_in(s(t_h4s_pairs_prod(X1,X2),happ(s(t_fun(X2,t_h4s_pairs_prod(X1,X2)),happ(s(t_fun(X1,t_fun(X2,t_h4s_pairs_prod(X1,X2))),h4s_pairs_u_2c),s(X1,X5))),s(X2,X6))),s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),X4)))=s(t_bool,h4s_bools_in(s(t_h4s_pairs_prod(X1,X2),happ(s(t_fun(X2,t_h4s_pairs_prod(X1,X2)),happ(s(t_fun(X1,t_fun(X2,t_h4s_pairs_prod(X1,X2))),h4s_pairs_u_2c),s(X1,X5))),s(X2,X6))),s(t_fun(t_h4s_pairs_prod(X1,X2),t_bool),X3)))),file('i/f/set_relation/rextension', ch4s_setu_u_relations_rextension)).
fof(4, axiom,![X1]:![X5]:![X7]:s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),X7)))=s(t_bool,happ(s(t_fun(X1,t_bool),X7),s(X1,X5))),file('i/f/set_relation/rextension', ah4s_predu_u_sets_SPECIFICATION)).
fof(5, axiom,![X1]:![X3]:![X4]:(s(t_fun(X1,t_bool),X4)=s(t_fun(X1,t_bool),X3)<=>![X5]:s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),X4)))=s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),X3)))),file('i/f/set_relation/rextension', ah4s_predu_u_sets_EXTENSION)).
fof(46, axiom,![X1]:![X2]:![X5]:?[X20]:?[X19]:s(t_h4s_pairs_prod(X1,X2),X5)=s(t_h4s_pairs_prod(X1,X2),happ(s(t_fun(X2,t_h4s_pairs_prod(X1,X2)),happ(s(t_fun(X1,t_fun(X2,t_h4s_pairs_prod(X1,X2))),h4s_pairs_u_2c),s(X1,X20))),s(X2,X19))),file('i/f/set_relation/rextension', ah4s_pairs_ABSu_u_PAIRu_u_THM)).
# SZS output end CNFRefutation
