# 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_bit1(s(t_h4s_nums_num,X1)))))))<=>p(s(t_bool,f))),file('i/f/integer/INT__EQ__REDUCE_c1', ch4s_integers_INTu_u_EQu_u_REDUCEu_c1)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/integer/INT__EQ__REDUCE_c1', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/integer/INT__EQ__REDUCE_c1', aHLu_FALSITY)).
fof(20, axiom,![X2]:(s(t_bool,f)=s(t_bool,X2)<=>~(p(s(t_bool,X2)))),file('i/f/integer/INT__EQ__REDUCE_c1', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(49, 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__EQ__REDUCE_c1', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(63, 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_arithmetics_numeral(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,f),file('i/f/integer/INT__EQ__REDUCE_c1', ah4s_integers_INTu_u_LTu_u_REDUCEu_c4)).
fof(68, 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_bit1(s(t_h4s_nums_num,X1)))))))))=s(t_bool,t),file('i/f/integer/INT__EQ__REDUCE_c1', ah4s_integers_INTu_u_LTu_u_REDUCEu_c0)).
# SZS output end CNFRefutation
