# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_h4s_options_option(X1),h4s_sptrees_lookup(s(t_h4s_nums_num,X2),s(t_h4s_sptrees_spt(X1),h4s_sptrees_fromalist(s(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,X1)),h4s_sptrees_toalist(s(t_h4s_sptrees_spt(X1),X3)))))))=s(t_h4s_options_option(X1),h4s_sptrees_lookup(s(t_h4s_nums_num,X2),s(t_h4s_sptrees_spt(X1),X3))),file('i/f/sptree/lookup__fromAList__toAList', ch4s_sptrees_lookupu_u_fromAListu_u_toAList)).
fof(8, axiom,![X1]:![X2]:![X3]:s(t_h4s_options_option(X1),h4s_alists_alookup(s(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,X1)),h4s_sptrees_toalist(s(t_h4s_sptrees_spt(X1),X3))),s(t_h4s_nums_num,X2)))=s(t_h4s_options_option(X1),h4s_sptrees_lookup(s(t_h4s_nums_num,X2),s(t_h4s_sptrees_spt(X1),X3))),file('i/f/sptree/lookup__fromAList__toAList', ah4s_sptrees_ALOOKUPu_u_toAList)).
fof(9, axiom,![X1]:![X2]:![X4]:s(t_h4s_options_option(X1),h4s_sptrees_lookup(s(t_h4s_nums_num,X2),s(t_h4s_sptrees_spt(X1),h4s_sptrees_fromalist(s(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,X1)),X4)))))=s(t_h4s_options_option(X1),h4s_alists_alookup(s(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,X1)),X4),s(t_h4s_nums_num,X2))),file('i/f/sptree/lookup__fromAList__toAList', ah4s_sptrees_lookupu_u_fromAList)).
# SZS output end CNFRefutation
