# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_h4s_sptrees_spt(X1),h4s_sptrees_delete(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_sptrees_spt(X1),h4s_sptrees_bn(s(t_h4s_sptrees_spt(X1),X3),s(t_h4s_sptrees_spt(X1),X2)))))=s(t_h4s_sptrees_spt(X1),h4s_sptrees_bn(s(t_h4s_sptrees_spt(X1),X3),s(t_h4s_sptrees_spt(X1),X2))),file('i/f/sptree/delete__compute_c3', ch4s_sptrees_deleteu_u_computeu_c3)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/sptree/delete__compute_c3', aHLu_FALSITY)).
fof(4, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/sptree/delete__compute_c3', aHLu_BOOLu_CASES)).
fof(9, axiom,![X1]:![X2]:![X3]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X3),s(X1,X2)))=s(X1,X3),file('i/f/sptree/delete__compute_c3', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(13, axiom,![X1]:![X2]:![X3]:![X12]:?[X13]:((p(s(t_bool,X13))<=>s(t_h4s_nums_num,X12)=s(t_h4s_nums_num,h4s_nums_0))&s(t_h4s_sptrees_spt(X1),h4s_sptrees_delete(s(t_h4s_nums_num,X12),s(t_h4s_sptrees_spt(X1),h4s_sptrees_bn(s(t_h4s_sptrees_spt(X1),X3),s(t_h4s_sptrees_spt(X1),X2)))))=s(t_h4s_sptrees_spt(X1),h4s_bools_cond(s(t_bool,X13),s(t_h4s_sptrees_spt(X1),h4s_sptrees_bn(s(t_h4s_sptrees_spt(X1),X3),s(t_h4s_sptrees_spt(X1),X2))),s(t_h4s_sptrees_spt(X1),h4s_bools_cond(s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,X12))),s(t_h4s_sptrees_spt(X1),h4s_sptrees_mku_u_bn(s(t_h4s_sptrees_spt(X1),h4s_sptrees_delete(s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),s(t_h4s_sptrees_spt(X1),X3))),s(t_h4s_sptrees_spt(X1),X2))),s(t_h4s_sptrees_spt(X1),h4s_sptrees_mku_u_bn(s(t_h4s_sptrees_spt(X1),X3),s(t_h4s_sptrees_spt(X1),h4s_sptrees_delete(s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),s(t_h4s_sptrees_spt(X1),X2)))))))))),file('i/f/sptree/delete__compute_c3', ah4s_sptrees_deleteu_u_defu_c2)).
fof(14, axiom,s(t_bool,h4s_arithmetics_even(s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,t),file('i/f/sptree/delete__compute_c3', ah4s_arithmetics_EVEN0u_c0)).
# SZS output end CNFRefutation
