# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:((![X4]:p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),t_bool),happ(s(t_fun(t_h4s_totos_toto(X1),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),t_bool)),X3),s(t_h4s_totos_toto(X1),X4))),s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),h4s_lists_nil))))&![X4]:![X5]:![X6]:![X7]:(p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),t_bool),happ(s(t_fun(t_h4s_totos_toto(X1),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),t_bool)),X3),s(t_h4s_totos_toto(X1),X4))),s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),X7))))=>p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),t_bool),happ(s(t_fun(t_h4s_totos_toto(X1),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),t_bool)),X3),s(t_h4s_totos_toto(X1),X4))),s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),t_h4s_lists_list(t_h4s_pairs_prod(X1,X2))),happ(s(t_fun(t_h4s_pairs_prod(X1,X2),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)))),h4s_lists_cons),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_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),X7))))))))=>![X8]:![X9]:p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),t_bool),happ(s(t_fun(t_h4s_totos_toto(X1),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),t_bool)),X3),s(t_h4s_totos_toto(X1),X8))),s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),X9))))),file('i/f/fmapal/ORL__ind', ch4s_fmapals_ORLu_u_ind)).
fof(32, axiom,![X1]:![X2]:![X16]:?[X22]:?[X21]:s(t_h4s_pairs_prod(X1,X2),X16)=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,X22))),s(X2,X21))),file('i/f/fmapal/ORL__ind', ah4s_pairs_ABSu_u_PAIRu_u_THM)).
fof(36, axiom,![X1]:![X3]:((p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(X1),t_bool),X3),s(t_h4s_lists_list(X1),h4s_lists_nil))))&![X20]:(p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(X1),t_bool),X3),s(t_h4s_lists_list(X1),X20))))=>![X31]:p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(X1),t_bool),X3),s(t_h4s_lists_list(X1),happ(s(t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1)),happ(s(t_fun(X1,t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1))),h4s_lists_cons),s(X1,X31))),s(t_h4s_lists_list(X1),X20))))))))=>![X7]:p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(X1),t_bool),X3),s(t_h4s_lists_list(X1),X7))))),file('i/f/fmapal/ORL__ind', ah4s_lists_listu_u_induction)).
# SZS output end CNFRefutation
