# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_h4s_nums_num,X3)))=s(t_bool,X1)<=>(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_h4s_nums_num,X3)))=s(t_bool,X1)&p(s(t_bool,h4s_defcnfs_def(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3))),s(t_h4s_lists_list(t_h4s_pairs_prod(t_fun(t_bool,t_fun(t_bool,t_bool)),t_h4s_pairs_prod(t_h4s_sums_sum(t_h4s_nums_num,t_bool),t_h4s_sums_sum(t_h4s_nums_num,t_bool)))),h4s_lists_nil)))))),file('i/f/defCNF/FINAL__DEF', ch4s_defCNFs_FINALu_u_DEF)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/defCNF/FINAL__DEF', aHLu_TRUTH)).
fof(10, axiom,![X2]:![X3]:s(t_bool,h4s_defcnfs_def(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_h4s_nums_num,X3),s(t_h4s_lists_list(t_h4s_pairs_prod(t_fun(t_bool,t_fun(t_bool,t_bool)),t_h4s_pairs_prod(t_h4s_sums_sum(t_h4s_nums_num,t_bool),t_h4s_sums_sum(t_h4s_nums_num,t_bool)))),h4s_lists_nil)))=s(t_bool,t),file('i/f/defCNF/FINAL__DEF', ah4s_defCNFs_DEFu_u_defu_c0)).
# SZS output end CNFRefutation
