# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_sptrees_wf(s(t_h4s_sptrees_spt(X1),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),X2)))))=s(t_h4s_sptrees_spt(X1),X2)),file('i/f/sptree/fromAList__toAList', ch4s_sptrees_fromAListu_u_toAList)).
fof(18, axiom,![X1]:![X13]:p(s(t_bool,h4s_sptrees_wf(s(t_h4s_sptrees_spt(X1),h4s_sptrees_fromalist(s(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,X1)),X13)))))),file('i/f/sptree/fromAList__toAList', ah4s_sptrees_wfu_u_fromAList)).
fof(19, axiom,![X1]:![X5]:![X2]:s(t_h4s_options_option(X1),h4s_sptrees_lookup(s(t_h4s_nums_num,X5),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),X2)))))))=s(t_h4s_options_option(X1),h4s_sptrees_lookup(s(t_h4s_nums_num,X5),s(t_h4s_sptrees_spt(X1),X2))),file('i/f/sptree/fromAList__toAList', ah4s_sptrees_lookupu_u_fromAListu_u_toAList)).
fof(20, axiom,![X1]:![X3]:![X4]:((p(s(t_bool,h4s_sptrees_wf(s(t_h4s_sptrees_spt(X1),X4))))&p(s(t_bool,h4s_sptrees_wf(s(t_h4s_sptrees_spt(X1),X3)))))=>(s(t_h4s_sptrees_spt(X1),X4)=s(t_h4s_sptrees_spt(X1),X3)<=>![X14]:s(t_h4s_options_option(X1),h4s_sptrees_lookup(s(t_h4s_nums_num,X14),s(t_h4s_sptrees_spt(X1),X4)))=s(t_h4s_options_option(X1),h4s_sptrees_lookup(s(t_h4s_nums_num,X14),s(t_h4s_sptrees_spt(X1),X3))))),file('i/f/sptree/fromAList__toAList', ah4s_sptrees_sptu_u_equ_u_thm)).
# SZS output end CNFRefutation
