# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_integers_intu_u_divides(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,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_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1)))))))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/integer/INT__DIVIDES__REDUCE_c4', ch4s_integers_INTu_u_DIVIDESu_u_REDUCEu_c4)).
fof(2, axiom,![X3]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X3)))=s(t_h4s_nums_num,X3),file('i/f/integer/INT__DIVIDES__REDUCE_c4', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(8, axiom,![X1]:![X2]:(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X2)))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X1)))<=>s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,X1)),file('i/f/integer/INT__DIVIDES__REDUCE_c4', ah4s_integers_INTu_u_REMu_u_CALCULATEu_c3)).
fof(23, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/integer/INT__DIVIDES__REDUCE_c4', ah4s_arithmetics_ALTu_u_ZERO)).
fof(37, axiom,![X1]:![X2]: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,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,X1)))))))))=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,X2))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1))))))))),file('i/f/integer/INT__DIVIDES__REDUCE_c4', ah4s_integers_INTu_u_MODu_u_REDUCEu_c2)).
fof(63, axiom,![X1]:s(t_bool,h4s_integers_intu_u_divides(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_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1)))))))))=s(t_bool,f),file('i/f/integer/INT__DIVIDES__REDUCE_c4', ah4s_integers_INTu_u_DIVIDESu_u_REDUCEu_c1)).
fof(65, axiom,p(s(t_bool,t)),file('i/f/integer/INT__DIVIDES__REDUCE_c4', aHLu_TRUTH)).
fof(66, axiom,~(p(s(t_bool,f))),file('i/f/integer/INT__DIVIDES__REDUCE_c4', aHLu_FALSITY)).
fof(68, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/integer/INT__DIVIDES__REDUCE_c4', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(77, axiom,![X6]:((p(s(t_bool,X6))=>p(s(t_bool,f)))<=>s(t_bool,X6)=s(t_bool,f)),file('i/f/integer/INT__DIVIDES__REDUCE_c4', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(90, axiom,![X13]:![X14]:(p(s(t_bool,h4s_integers_intu_u_divides(s(t_h4s_integers_int,X14),s(t_h4s_integers_int,X13))))<=>((s(t_h4s_integers_int,h4s_integers_intu_u_mod(s(t_h4s_integers_int,X13),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,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,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,X13)=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_c4', ah4s_integers_INTu_u_DIVIDESu_u_MOD0)).
# SZS output end CNFRefutation
