# 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(23, axiom,![X22]:![X23]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X23),s(t_h4s_nums_num,X22)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,X23))),file('i/f/Omega_Automata/BOOLEAN__CLOSURE__FG_c0', ah4s_arithmetics_ADDu_u_SYM)).
fof(24, axiom,![X14]:![X22]:![X23]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X23),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,X14)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X23),s(t_h4s_nums_num,X22))),s(t_h4s_nums_num,X14))),file('i/f/Omega_Automata/BOOLEAN__CLOSURE__FG_c0', ah4s_arithmetics_ADDu_u_ASSOC)).
# SZS output end CNFRefutation
