# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_bool,h4s_integers_intu_u_lt(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_bit2(s(t_h4s_nums_num,X1))))))))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_bool,t),file('i/f/integer/INT__LT__REDUCE_c6', ch4s_integers_INTu_u_LTu_u_REDUCEu_c6)).
fof(3, axiom,![X4]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X4)))=s(t_h4s_nums_num,X4),file('i/f/integer/INT__LT__REDUCE_c6', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(19, axiom,p(s(t_bool,t)),file('i/f/integer/INT__LT__REDUCE_c6', aHLu_TRUTH)).
fof(20, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/integer/INT__LT__REDUCE_c6', aHLu_BOOLu_CASES)).
fof(26, axiom,![X1]: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,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X1)))))))))=s(t_bool,t),file('i/f/integer/INT__LT__REDUCE_c6', ah4s_integers_INTu_u_LTu_u_REDUCEu_c1)).
fof(31, axiom,~(p(s(t_bool,f))),file('i/f/integer/INT__LT__REDUCE_c6', aHLu_FALSITY)).
fof(39, axiom,![X1]:![X7]: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,X7))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X1)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X1))),file('i/f/integer/INT__LT__REDUCE_c6', ah4s_integers_INTu_u_LT)).
fof(41, axiom,![X1]:![X7]:(p(s(t_bool,h4s_integers_intu_u_lt(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,X1))))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X7))))))<=>(~(s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_nums_0))|~(s(t_h4s_nums_num,X7)=s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/integer/INT__LT__REDUCE_c6', ah4s_integers_INTu_u_LTu_u_CALCULATEu_c2)).
fof(60, axiom,![X1]:(~(s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_nums_0))<=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1))))),file('i/f/integer/INT__LT__REDUCE_c6', ah4s_arithmetics_NOTu_u_ZEROu_u_LTu_u_ZERO)).
fof(65, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/integer/INT__LT__REDUCE_c6', ah4s_arithmetics_ALTu_u_ZERO)).
# SZS output end CNFRefutation
