# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:![X7]:(s(t_h4s_sptrees_spt(X2),h4s_sptrees_inter(s(t_h4s_sptrees_spt(X2),X7),s(t_h4s_sptrees_spt(X1),X6)))=s(t_h4s_sptrees_spt(X2),h4s_sptrees_inter(s(t_h4s_sptrees_spt(X2),X5),s(t_h4s_sptrees_spt(X3),X4)))<=>![X8]:s(t_h4s_options_option(X2),h4s_sptrees_lookup(s(t_h4s_nums_num,X8),s(t_h4s_sptrees_spt(X2),h4s_sptrees_inter(s(t_h4s_sptrees_spt(X2),X7),s(t_h4s_sptrees_spt(X1),X6)))))=s(t_h4s_options_option(X2),h4s_sptrees_lookup(s(t_h4s_nums_num,X8),s(t_h4s_sptrees_spt(X2),h4s_sptrees_inter(s(t_h4s_sptrees_spt(X2),X5),s(t_h4s_sptrees_spt(X3),X4)))))),file('i/f/sptree/inter__eq0', ch4s_sptrees_interu_u_eq0)).
fof(18, axiom,![X2]:![X6]:![X7]:((p(s(t_bool,h4s_sptrees_wf(s(t_h4s_sptrees_spt(X2),X7))))&p(s(t_bool,h4s_sptrees_wf(s(t_h4s_sptrees_spt(X2),X6)))))=>(s(t_h4s_sptrees_spt(X2),X7)=s(t_h4s_sptrees_spt(X2),X6)<=>![X17]:s(t_h4s_options_option(X2),h4s_sptrees_lookup(s(t_h4s_nums_num,X17),s(t_h4s_sptrees_spt(X2),X7)))=s(t_h4s_options_option(X2),h4s_sptrees_lookup(s(t_h4s_nums_num,X17),s(t_h4s_sptrees_spt(X2),X6))))),file('i/f/sptree/inter__eq0', ah4s_sptrees_sptu_u_equ_u_thm)).
fof(19, axiom,![X2]:![X1]:![X18]:![X19]:p(s(t_bool,h4s_sptrees_wf(s(t_h4s_sptrees_spt(X2),h4s_sptrees_inter(s(t_h4s_sptrees_spt(X2),X19),s(t_h4s_sptrees_spt(X1),X18)))))),file('i/f/sptree/inter__eq0', ah4s_sptrees_wfu_u_inter)).
# SZS output end CNFRefutation
