# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/ind_type/MK__REC__INJ', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/ind_type/MK__REC__INJ', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/ind_type/MK__REC__INJ', aHLu_BOOLu_CASES)).
fof(7, axiom,![X7]:![X13]:(p(s(t_bool,happ(s(t_fun(t_fun(t_h4s_nums_num,t_fun(X7,t_bool)),t_bool),h4s_indu_u_types_zrecspace),s(t_fun(t_h4s_nums_num,t_fun(X7,t_bool)),X13))))<=>s(t_fun(t_h4s_nums_num,t_fun(X7,t_bool)),h4s_indu_u_types_destu_u_rec(s(t_h4s_indu_u_types_recspace(X7),h4s_indu_u_types_mku_u_rec(s(t_fun(t_h4s_nums_num,t_fun(X7,t_bool)),X13)))))=s(t_fun(t_h4s_nums_num,t_fun(X7,t_bool)),X13)),file('i/f/ind_type/MK__REC__INJ', ah4s_indu_u_types_recspaceu_u_repfnsu_c1)).
fof(43, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/ind_type/MK__REC__INJ', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(133, conjecture,![X7]:![X23]:![X6]:(s(t_h4s_indu_u_types_recspace(X7),h4s_indu_u_types_mku_u_rec(s(t_fun(t_h4s_nums_num,t_fun(X7,t_bool)),X6)))=s(t_h4s_indu_u_types_recspace(X7),h4s_indu_u_types_mku_u_rec(s(t_fun(t_h4s_nums_num,t_fun(X7,t_bool)),X23)))=>((p(s(t_bool,happ(s(t_fun(t_fun(t_h4s_nums_num,t_fun(X7,t_bool)),t_bool),h4s_indu_u_types_zrecspace),s(t_fun(t_h4s_nums_num,t_fun(X7,t_bool)),X6))))&p(s(t_bool,happ(s(t_fun(t_fun(t_h4s_nums_num,t_fun(X7,t_bool)),t_bool),h4s_indu_u_types_zrecspace),s(t_fun(t_h4s_nums_num,t_fun(X7,t_bool)),X23)))))=>s(t_fun(t_h4s_nums_num,t_fun(X7,t_bool)),X6)=s(t_fun(t_h4s_nums_num,t_fun(X7,t_bool)),X23))),file('i/f/ind_type/MK__REC__INJ', ch4s_indu_u_types_MKu_u_RECu_u_INJ)).
# SZS output end CNFRefutation
