# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:p(s(t_bool,h4s_hrats_tratu_u_eq(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_hrats_tratu_u_add(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X2),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X1))),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_hrats_tratu_u_add(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X1),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X2)))))),file('i/f/hrat/TRAT__ADD__SYM', ch4s_hrats_TRATu_u_ADDu_u_SYM)).
fof(4, axiom,![X3]:![X4]:(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X4)=s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X3)=>p(s(t_bool,h4s_hrats_tratu_u_eq(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X4),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X3))))),file('i/f/hrat/TRAT__ADD__SYM', ah4s_hrats_TRATu_u_EQu_u_AP)).
fof(6, axiom,![X1]:![X2]:s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_hrats_tratu_u_add(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X2),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X1)))=s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_hrats_tratu_u_add(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X1),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X2))),file('i/f/hrat/TRAT__ADD__SYM', ah4s_hrats_TRATu_u_ADDu_u_SYMu_u_EQ)).
# SZS output end CNFRefutation
