# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_integers_int,h4s_integers_intu_u_mod(s(t_h4s_integers_int,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_bit1(s(t_h4s_nums_num,X2)))))))))=s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,h4s_integers_intu_u_div(s(t_h4s_integers_int,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_bit1(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_bit1(s(t_h4s_nums_num,X2))))))))))),file('i/f/integer/INT__MOD__REDUCE_c4', ch4s_integers_INTu_u_MODu_u_REDUCEu_c4)).
fof(4, axiom,![X2]:![X7]:(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X7)))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X2)))<=>s(t_h4s_nums_num,X7)=s(t_h4s_nums_num,X2)),file('i/f/integer/INT__MOD__REDUCE_c4', ah4s_integers_INTu_u_INJ)).
fof(14, axiom,![X14]:![X15]:(~(s(t_h4s_integers_int,X14)=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,X15),s(t_h4s_integers_int,X14)))=s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,X15),s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,h4s_integers_intu_u_div(s(t_h4s_integers_int,X15),s(t_h4s_integers_int,X14))),s(t_h4s_integers_int,X14)))))),file('i/f/integer/INT__MOD__REDUCE_c4', ah4s_integers_intu_u_mod0)).
fof(38, axiom,![X1]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,X1),file('i/f/integer/INT__MOD__REDUCE_c4', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(43, axiom,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_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/integer/INT__MOD__REDUCE_c4', ah4s_arithmetics_ONE)).
fof(44, axiom,![X2]:s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/integer/INT__MOD__REDUCE_c4', ah4s_arithmetics_BIT10)).
fof(45, axiom,![X2]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/integer/INT__MOD__REDUCE_c4', ah4s_numerals_numeralu_u_lteu_c1)).
fof(56, axiom,~(p(s(t_bool,f))),file('i/f/integer/INT__MOD__REDUCE_c4', aHLu_FALSITY)).
fof(69, axiom,![X2]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_nums_0))))<=>s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/integer/INT__MOD__REDUCE_c4', ah4s_arithmetics_LESSu_u_EQu_u_0)).
fof(73, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/integer/INT__MOD__REDUCE_c4', ah4s_arithmetics_ALTu_u_ZERO)).
# SZS output end CNFRefutation
