# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:p(s(t_bool,h4s_indu_u_types_zrecspace(s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),h4s_indu_u_types_zbot)))),file('i/f/ind_type/ZRECSPACE__rules_c0', ch4s_indu_u_types_ZRECSPACEu_u_rulesu_c0)).
fof(25, axiom,![X1]:![X5]:(p(s(t_bool,h4s_indu_u_types_zrecspace(s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),X5))))<=>![X21]:(![X22]:((s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),X22)=s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),h4s_indu_u_types_zbot)|?[X23]:?[X24]:?[X12]:(s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),X22)=s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),h4s_indu_u_types_zconstr(s(t_h4s_nums_num,X23),s(X1,X24),s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_fun(X1,t_bool))),X12)))&![X25]:p(s(t_bool,happ(s(t_fun(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),t_bool),X21),s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_fun(X1,t_bool))),X12),s(t_h4s_nums_num,X25))))))))=>p(s(t_bool,happ(s(t_fun(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),t_bool),X21),s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),X22)))))=>p(s(t_bool,happ(s(t_fun(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),t_bool),X21),s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),X5)))))),file('i/f/ind_type/ZRECSPACE__rules_c0', ah4s_indu_u_types_ZRECSPACEu_u_def)).
# SZS output end CNFRefutation
