# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(5, axiom,![X7]:(~(s(t_h4s_integers_int,X7)=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))=>![X8]:(s(t_h4s_integers_int,X8)=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,h4s_integers_intu_u_div(s(t_h4s_integers_int,X8),s(t_h4s_integers_int,X7))),s(t_h4s_integers_int,X7))),s(t_h4s_integers_int,h4s_integers_intu_u_mod(s(t_h4s_integers_int,X8),s(t_h4s_integers_int,X7)))))&?[X9]:((p(s(t_bool,X9))<=>(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X7),s(t_h4s_integers_int,h4s_integers_intu_u_mod(s(t_h4s_integers_int,X8),s(t_h4s_integers_int,X7))))))&p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,h4s_integers_intu_u_mod(s(t_h4s_integers_int,X8),s(t_h4s_integers_int,X7))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))))))&?[X10]:((p(s(t_bool,X10))<=>(p(s(t_bool,h4s_integers_intu_u_le(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,X8),s(t_h4s_integers_int,X7))))))&p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_mod(s(t_h4s_integers_int,X8),s(t_h4s_integers_int,X7))),s(t_h4s_integers_int,X7))))))&p(s(t_bool,h4s_bools_cond(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X7),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))),s(t_bool,X9),s(t_bool,X10)))))))),file('i/f/integer/INT__MOD__MOD', ah4s_integers_INTu_u_DIVISION)).
fof(7, axiom,![X13]:![X7]:![X14]:(~(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,h4s_integers_intu_u_add(s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X7),s(t_h4s_integers_int,X14))),s(t_h4s_integers_int,X13))),s(t_h4s_integers_int,X14)))=s(t_h4s_integers_int,h4s_integers_intu_u_mod(s(t_h4s_integers_int,X13),s(t_h4s_integers_int,X14)))),file('i/f/integer/INT__MOD__MOD', ah4s_integers_INTu_u_MODu_u_ADDu_u_MULTIPLES)).
fof(133, conjecture,![X14]:![X11]:(~(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,h4s_integers_intu_u_mod(s(t_h4s_integers_int,X11),s(t_h4s_integers_int,X14))),s(t_h4s_integers_int,X14)))=s(t_h4s_integers_int,h4s_integers_intu_u_mod(s(t_h4s_integers_int,X11),s(t_h4s_integers_int,X14)))),file('i/f/integer/INT__MOD__MOD', ch4s_integers_INTu_u_MODu_u_MOD)).
# SZS output end CNFRefutation
