# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(~(s(t_h4s_integers_int,X2)=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))=>s(t_h4s_integers_int,h4s_integers_intu_u_mod(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X1))),s(t_h4s_integers_int,X2)))=s(t_h4s_integers_int,h4s_integers_intu_u_mod(s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1))),s(t_h4s_integers_int,X2)))),file('i/f/integer/INT__MOD__NEG__NUMERATOR', ch4s_integers_INTu_u_MODu_u_NEGu_u_NUMERATOR)).
fof(20, axiom,![X7]:![X8]:![X2]:(~(s(t_h4s_integers_int,X2)=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))=>s(t_h4s_integers_int,h4s_integers_intu_u_mod(s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X8),s(t_h4s_integers_int,X2))),s(t_h4s_integers_int,X7))),s(t_h4s_integers_int,X2)))=s(t_h4s_integers_int,h4s_integers_intu_u_mod(s(t_h4s_integers_int,X7),s(t_h4s_integers_int,X2)))),file('i/f/integer/INT__MOD__NEG__NUMERATOR', ah4s_integers_INTu_u_MODu_u_ADDu_u_MULTIPLES)).
fof(21, axiom,![X10]:![X1]:s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X10)))=s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X10))))),file('i/f/integer/INT__MOD__NEG__NUMERATOR', ah4s_integers_intu_u_sub0)).
fof(22, axiom,![X1]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(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_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),s(t_h4s_integers_int,X1)))=s(t_h4s_integers_int,X1),file('i/f/integer/INT__MOD__NEG__NUMERATOR', ah4s_integers_INTu_u_MULu_u_LID)).
# SZS output end CNFRefutation
