# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(~(?[X3]:![X4]:p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X1)))))))))<=>![X3]:?[X4]:~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X1)))))))))),file('i/f/Omega_Automata/BOOLEAN__CLOSURE__FG_c0', ch4s_Omegau_u_Automatas_BOOLEANu_u_CLOSUREu_u_FGu_c0)).
fof(28, axiom,![X9]:![X21]:![X22]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X9)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,X21))),s(t_h4s_nums_num,X9))),file('i/f/Omega_Automata/BOOLEAN__CLOSURE__FG_c0', ah4s_arithmetics_ADDu_u_ASSOC)).
fof(29, axiom,![X21]:![X22]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,X21)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X22))),file('i/f/Omega_Automata/BOOLEAN__CLOSURE__FG_c0', ah4s_arithmetics_ADDu_u_SYM)).
# SZS output end CNFRefutation
