# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X1))))))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X2)))))))=s(t_h4s_integers_int,h4s_bools_cond(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))))),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))))))))))),file('i/f/integer/INT__ADD__REDUCE_c6', ch4s_integers_INTu_u_ADDu_u_REDUCEu_c6)).
fof(26, axiom,![X1]:![X2]:s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X1))))),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X2)))))))))=s(t_h4s_integers_int,h4s_bools_cond(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))))))),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))))))))),file('i/f/integer/INT__ADD__REDUCE_c6', ah4s_integers_INTu_u_ADDu_u_REDUCEu_c5)).
fof(38, axiom,![X12]:![X11]:s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,X11),s(t_h4s_integers_int,X12)))=s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X11),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X12))))),file('i/f/integer/INT__ADD__REDUCE_c6', ah4s_integers_intu_u_sub0)).
fof(46, axiom,![X11]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X11)))=s(t_h4s_nums_num,X11),file('i/f/integer/INT__ADD__REDUCE_c6', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(74, axiom,![X12]:![X11]:s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X11),s(t_h4s_integers_int,X12)))=s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X12),s(t_h4s_integers_int,X11))),file('i/f/integer/INT__ADD__REDUCE_c6', ah4s_integers_INTu_u_ADDu_u_COMM)).
# SZS output end CNFRefutation
