# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![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_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)))))))<=>p(s(t_bool,f))),file('i/f/integer/INT__EQ__REDUCE_c2', ch4s_integers_INTu_u_EQu_u_REDUCEu_c2)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/integer/INT__EQ__REDUCE_c2', aHLu_FALSITY)).
fof(16, 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__EQ__REDUCE_c2', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(22, axiom,![X1]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_nums_0))))<=>s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/integer/INT__EQ__REDUCE_c2', ah4s_arithmetics_LESSu_u_EQu_u_0)).
fof(26, axiom,![X4]:(s(t_bool,f)=s(t_bool,X4)<=>~(p(s(t_bool,X4)))),file('i/f/integer/INT__EQ__REDUCE_c2', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(43, axiom,![X1]:![X9]:(~(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X1)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X9))))),file('i/f/integer/INT__EQ__REDUCE_c2', ah4s_arithmetics_NOTu_u_LEQ)).
fof(47, 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__EQ__REDUCE_c2', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(48, axiom,![X1]:![X9]:(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X9)))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X1)))<=>s(t_h4s_nums_num,X9)=s(t_h4s_nums_num,X1)),file('i/f/integer/INT__EQ__REDUCE_c2', ah4s_integers_INTu_u_INJ)).
fof(56, axiom,![X1]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/integer/INT__EQ__REDUCE_c2', ah4s_numerals_numeralu_u_lteu_c2)).
fof(70, axiom,![X1]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/integer/INT__EQ__REDUCE_c2', ah4s_numerals_numeralu_u_distribu_c27)).
# SZS output end CNFRefutation
