# 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(2, axiom,p(s(t_bool,t)),file('i/f/ind_type/ZRECSPACE__rules_c0', aHLu_TRUTH)).
fof(12, axiom,![X1]:![X7]:(p(s(t_bool,h4s_indu_u_types_zrecspace(s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),X7))))<=>![X16]:(![X17]:((s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),X17)=s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),h4s_indu_u_types_zbot)|?[X18]:?[X19]:?[X20]:(s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),X17)=s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),h4s_indu_u_types_zconstr(s(t_h4s_nums_num,X18),s(X1,X19),s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_fun(X1,t_bool))),X20)))&![X21]:p(s(t_bool,happ(s(t_fun(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),t_bool),X16),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))),X20),s(t_h4s_nums_num,X21))))))))=>p(s(t_bool,happ(s(t_fun(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),t_bool),X16),s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),X17)))))=>p(s(t_bool,happ(s(t_fun(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),t_bool),X16),s(t_fun(t_h4s_nums_num,t_fun(X1,t_bool)),X7)))))),file('i/f/ind_type/ZRECSPACE__rules_c0', ah4s_indu_u_types_ZRECSPACEu_u_def)).
fof(13, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/ind_type/ZRECSPACE__rules_c0', aHLu_BOOLu_CASES)).
fof(14, axiom,~(p(s(t_bool,f))),file('i/f/ind_type/ZRECSPACE__rules_c0', aHLu_FALSITY)).
# SZS output end CNFRefutation
