# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:![X7]:(?[X8]:(p(s(t_bool,happ(s(t_fun(t_fun(t_h4s_nums_num,X1),t_bool),X6),s(t_fun(t_h4s_nums_num,X1),X8))))&(p(s(t_bool,happ(s(t_fun(t_fun(t_h4s_nums_num,X1),t_bool),X4),s(t_fun(t_h4s_nums_num,X1),X8))))&?[X9]:(p(s(t_bool,happ(s(t_fun(t_fun(t_h4s_nums_num,X2),t_bool),X5),s(t_fun(t_h4s_nums_num,X2),X9))))&(p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(t_fun(t_h4s_nums_num,X2),t_fun(t_h4s_nums_num,X1)),t_bool),X3),s(t_h4s_pairs_prod(t_fun(t_h4s_nums_num,X2),t_fun(t_h4s_nums_num,X1)),h4s_pairs_u_2c(s(t_fun(t_h4s_nums_num,X2),X9),s(t_fun(t_h4s_nums_num,X1),X8))))))&p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(t_fun(t_h4s_nums_num,X1),t_fun(t_h4s_nums_num,X2)),t_bool),X7),s(t_h4s_pairs_prod(t_fun(t_h4s_nums_num,X1),t_fun(t_h4s_nums_num,X2)),h4s_pairs_u_2c(s(t_fun(t_h4s_nums_num,X1),X8),s(t_fun(t_h4s_nums_num,X2),X9))))))))))<=>?[X8]:?[X9]:((p(s(t_bool,happ(s(t_fun(t_fun(t_h4s_nums_num,X1),t_bool),X6),s(t_fun(t_h4s_nums_num,X1),X8))))&p(s(t_bool,happ(s(t_fun(t_fun(t_h4s_nums_num,X2),t_bool),X5),s(t_fun(t_h4s_nums_num,X2),X9)))))&((p(s(t_bool,happ(s(t_fun(t_fun(t_h4s_nums_num,X1),t_bool),X4),s(t_fun(t_h4s_nums_num,X1),X8))))&p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(t_fun(t_h4s_nums_num,X2),t_fun(t_h4s_nums_num,X1)),t_bool),X3),s(t_h4s_pairs_prod(t_fun(t_h4s_nums_num,X2),t_fun(t_h4s_nums_num,X1)),h4s_pairs_u_2c(s(t_fun(t_h4s_nums_num,X2),X9),s(t_fun(t_h4s_nums_num,X1),X8)))))))&p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(t_fun(t_h4s_nums_num,X1),t_fun(t_h4s_nums_num,X2)),t_bool),X7),s(t_h4s_pairs_prod(t_fun(t_h4s_nums_num,X1),t_fun(t_h4s_nums_num,X2)),h4s_pairs_u_2c(s(t_fun(t_h4s_nums_num,X1),X8),s(t_fun(t_h4s_nums_num,X2),X9))))))))),file('i/f/Omega_Automata/AUTOMATON__TEMP__CLOSURE_c0', ch4s_Omegau_u_Automatas_AUTOMATONu_u_TEMPu_u_CLOSUREu_c0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/Omega_Automata/AUTOMATON__TEMP__CLOSURE_c0', aHLu_TRUTH)).
fof(7, axiom,![X12]:(s(t_bool,X12)=s(t_bool,t)<=>p(s(t_bool,X12))),file('i/f/Omega_Automata/AUTOMATON__TEMP__CLOSURE_c0', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
