# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(39, axiom,![X6]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X6)))=s(t_h4s_nums_num,X6),file('i/f/integer/INT__DIVIDES__REDUCE_c10', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(40, axiom,![X17]:s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X17)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/integer/INT__DIVIDES__REDUCE_c10', ah4s_arithmetics_BIT10)).
fof(42, axiom,![X17]:~(s(t_h4s_nums_num,h4s_nums_0)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X17)))),file('i/f/integer/INT__DIVIDES__REDUCE_c10', ah4s_arithmetics_SUCu_u_NOT)).
fof(44, axiom,![X17]:![X18]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X17)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X17))))),file('i/f/integer/INT__DIVIDES__REDUCE_c10', ah4s_arithmetics_ADDu_u_CLAUSESu_c3)).
fof(46, axiom,![X15]:![X16]:(p(s(t_bool,h4s_integers_intu_u_divides(s(t_h4s_integers_int,X16),s(t_h4s_integers_int,X15))))<=>((s(t_h4s_integers_int,h4s_integers_intu_u_mod(s(t_h4s_integers_int,X15),s(t_h4s_integers_int,X16)))=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,X16)=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,X16)=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,X15)=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))),file('i/f/integer/INT__DIVIDES__REDUCE_c10', ah4s_integers_INTu_u_DIVIDESu_u_MOD0)).
fof(47, axiom,![X15]:![X16]:s(t_bool,h4s_integers_intu_u_divides(s(t_h4s_integers_int,X16),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X15)))))=s(t_bool,h4s_integers_intu_u_divides(s(t_h4s_integers_int,X16),s(t_h4s_integers_int,X15))),file('i/f/integer/INT__DIVIDES__REDUCE_c10', ah4s_integers_INTu_u_DIVIDESu_u_NEGu_c0)).
fof(48, axiom,![X15]:![X16]:s(t_bool,h4s_integers_intu_u_divides(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X16))),s(t_h4s_integers_int,X15)))=s(t_bool,h4s_integers_intu_u_divides(s(t_h4s_integers_int,X16),s(t_h4s_integers_int,X15))),file('i/f/integer/INT__DIVIDES__REDUCE_c10', ah4s_integers_INTu_u_DIVIDESu_u_NEGu_c1)).
fof(49, axiom,![X17]:![X18]:s(t_h4s_integers_int,h4s_integers_intu_u_mod(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,X18))))),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,X17)))))))))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X18))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X17))))))))),file('i/f/integer/INT__DIVIDES__REDUCE_c10', ah4s_integers_INTu_u_MODu_u_REDUCEu_c2)).
fof(51, axiom,![X17]:![X18]:(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X18)))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X17)))<=>s(t_h4s_nums_num,X18)=s(t_h4s_nums_num,X17)),file('i/f/integer/INT__DIVIDES__REDUCE_c10', ah4s_integers_INTu_u_EQu_u_CALCULATEu_c0)).
fof(52, conjecture,![X17]:![X18]:(p(s(t_bool,h4s_integers_intu_u_divides(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_bit1(s(t_h4s_nums_num,X17))))))))),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,X18))))))))))<=>s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X18))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X17)))))))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/integer/INT__DIVIDES__REDUCE_c10', ch4s_integers_INTu_u_DIVIDESu_u_REDUCEu_c10)).
# SZS output end CNFRefutation
