# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(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_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,X2)))))))<=>p(s(t_bool,f))),file('i/f/integer/INT__EQ__REDUCE_c11', ch4s_integers_INTu_u_EQu_u_REDUCEu_c11)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/integer/INT__EQ__REDUCE_c11', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/integer/INT__EQ__REDUCE_c11', aHLu_FALSITY)).
fof(15, axiom,![X4]:(s(t_bool,f)=s(t_bool,X4)<=>~(p(s(t_bool,X4)))),file('i/f/integer/INT__EQ__REDUCE_c11', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(21, 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_c11', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(24, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/integer/INT__EQ__REDUCE_c11', aHLu_BOOLu_CASES)).
fof(26, 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_c11', ah4s_numerals_numeralu_u_lteu_c2)).
fof(30, axiom,![X1]:![X2]:(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_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__EQ__REDUCE_c11', ah4s_integers_INTu_u_EQu_u_CALCULATEu_c2)).
fof(32, 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__EQ__REDUCE_c11', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(42, axiom,![X2]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/integer/INT__EQ__REDUCE_c11', ah4s_arithmetics_MULTu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
