# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(s(t_h4s_sptrees_spt(X1),h4s_sptrees_mku_u_wf(s(t_h4s_sptrees_spt(X1),X3)))=s(t_h4s_sptrees_spt(X1),h4s_sptrees_mku_u_wf(s(t_h4s_sptrees_spt(X1),X2)))<=>![X4]:s(t_h4s_options_option(X1),h4s_sptrees_lookup(s(t_h4s_nums_num,X4),s(t_h4s_sptrees_spt(X1),X3)))=s(t_h4s_options_option(X1),h4s_sptrees_lookup(s(t_h4s_nums_num,X4),s(t_h4s_sptrees_spt(X1),X2)))),file('i/f/sptree/mk__wf__eq', ch4s_sptrees_mku_u_wfu_u_eq)).
fof(18, axiom,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_sptrees_wf(s(t_h4s_sptrees_spt(X1),X3))))&p(s(t_bool,h4s_sptrees_wf(s(t_h4s_sptrees_spt(X1),X2)))))=>(s(t_h4s_sptrees_spt(X1),X3)=s(t_h4s_sptrees_spt(X1),X2)<=>![X13]:s(t_h4s_options_option(X1),h4s_sptrees_lookup(s(t_h4s_nums_num,X13),s(t_h4s_sptrees_spt(X1),X3)))=s(t_h4s_options_option(X1),h4s_sptrees_lookup(s(t_h4s_nums_num,X13),s(t_h4s_sptrees_spt(X1),X2))))),file('i/f/sptree/mk__wf__eq', ah4s_sptrees_sptu_u_equ_u_thm)).
fof(19, axiom,![X1]:![X4]:![X5]:s(t_h4s_options_option(X1),h4s_sptrees_lookup(s(t_h4s_nums_num,X4),s(t_h4s_sptrees_spt(X1),h4s_sptrees_mku_u_wf(s(t_h4s_sptrees_spt(X1),X5)))))=s(t_h4s_options_option(X1),h4s_sptrees_lookup(s(t_h4s_nums_num,X4),s(t_h4s_sptrees_spt(X1),X5))),file('i/f/sptree/mk__wf__eq', ah4s_sptrees_lookupu_u_mku_u_wf)).
fof(20, axiom,![X1]:![X5]:p(s(t_bool,h4s_sptrees_wf(s(t_h4s_sptrees_spt(X1),h4s_sptrees_mku_u_wf(s(t_h4s_sptrees_spt(X1),X5)))))),file('i/f/sptree/mk__wf__eq', ah4s_sptrees_wfu_u_mku_u_wf)).
# SZS output end CNFRefutation
