# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]: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_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_bool,t),file('i/f/integer/INT__LT__REDUCE_c8', ch4s_integers_INTu_u_LTu_u_REDUCEu_c8)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/integer/INT__LT__REDUCE_c8', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/integer/INT__LT__REDUCE_c8', aHLu_FALSITY)).
fof(4, 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_c8', aHLu_BOOLu_CASES)).
fof(19, axiom,![X3]:(s(t_bool,f)=s(t_bool,X3)<=>~(p(s(t_bool,X3)))),file('i/f/integer/INT__LT__REDUCE_c8', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(25, axiom,![X1]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1)))),file('i/f/integer/INT__LT__REDUCE_c8', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(29, axiom,![X1]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/integer/INT__LT__REDUCE_c8', ah4s_numerals_numeralu_u_lteu_c1)).
fof(32, axiom,![X1]:![X2]:(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,X2))))))<=>(~(s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_nums_0))|~(s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/integer/INT__LT__REDUCE_c8', ah4s_integers_INTu_u_LTu_u_CALCULATEu_c2)).
fof(33, axiom,![X1]:![X2]: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,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,X2)))))))=s(t_bool,f),file('i/f/integer/INT__LT__REDUCE_c8', ah4s_integers_INTu_u_LTu_u_CALCULATEu_c3)).
fof(34, axiom,![X5]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X5)))=s(t_h4s_nums_num,X5),file('i/f/integer/INT__LT__REDUCE_c8', ah4s_arithmetics_NUMERALu_u_DEF)).
# SZS output end CNFRefutation
