# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(~(s(t_h4s_integers_int,X1)=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_intextensions_sgn(s(t_h4s_integers_int,X1)))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/intExtension/INT__NOT0__SGNNOT0', ch4s_intExtensions_INTu_u_NOT0u_u_SGNNOT0)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/intExtension/INT__NOT0__SGNNOT0', aHLu_FALSITY)).
fof(13, axiom,![X5]:![X6]:(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X5)))=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,X6)))))<=>(s(t_h4s_nums_num,X5)=s(t_h4s_nums_num,h4s_nums_0)&s(t_h4s_nums_num,X6)=s(t_h4s_nums_num,h4s_nums_0))),file('i/f/intExtension/INT__NOT0__SGNNOT0', ah4s_integers_INTu_u_EQu_u_CALCULATEu_c2)).
fof(14, axiom,![X1]:![X7]:((((s(t_h4s_integers_int,h4s_intextensions_sgn(s(t_h4s_integers_int,X1)))=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,h4s_arithmetics_zero)))))))))&p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))))=>p(s(t_bool,X7)))&(((s(t_h4s_integers_int,h4s_intextensions_sgn(s(t_h4s_integers_int,X1)))=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,X1)=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))=>p(s(t_bool,X7)))&((s(t_h4s_integers_int,h4s_intextensions_sgn(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,h4s_arithmetics_zero)))))))&p(s(t_bool,h4s_integers_intu_u_lt(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,X1)))))=>p(s(t_bool,X7)))))=>p(s(t_bool,X7))),file('i/f/intExtension/INT__NOT0__SGNNOT0', ah4s_intExtensions_INTu_u_SGNu_u_CASES0)).
fof(15, axiom,![X5]:(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X5)))=s(t_h4s_nums_num,h4s_nums_0)<=>s(t_h4s_nums_num,X5)=s(t_h4s_nums_num,h4s_arithmetics_zero)),file('i/f/intExtension/INT__NOT0__SGNNOT0', ah4s_numerals_numeralu_u_distribu_c17)).
fof(16, axiom,![X5]:(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X5)))=s(t_h4s_nums_num,h4s_arithmetics_zero)<=>p(s(t_bool,f))),file('i/f/intExtension/INT__NOT0__SGNNOT0', ah4s_numerals_numeralu_u_equ_c1)).
# SZS output end CNFRefutation
