# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:~(s(t_h4s_sptrees_spt(X1),h4s_sptrees_ln)=s(t_h4s_sptrees_spt(X1),happ(s(t_fun(X1,t_h4s_sptrees_spt(X1)),h4s_sptrees_ls),s(X1,X2)))),file('i/f/sptree/spt__distinct_c0', ch4s_sptrees_sptu_u_distinctu_c0)).
fof(34, axiom,![X1]:![X7]:![X26]:~(s(t_h4s_lists_list(X1),X26)=s(t_h4s_lists_list(X1),happ(s(t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1)),happ(s(t_fun(X1,t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1))),h4s_lists_cons),s(X1,X7))),s(t_h4s_lists_list(X1),X26)))),file('i/f/sptree/spt__distinct_c0', ah4s_lists_CONSu_u_ACYCLICu_c0)).
fof(41, axiom,![X1]:s(t_fun(X1,t_h4s_sptrees_spt(X1)),h4s_sptrees_ls)=s(t_fun(X1,t_h4s_sptrees_spt(X1)),h4s_sptrees_u_20u_40indu_u_typesptree1),file('i/f/sptree/spt__distinct_c0', ah4s_sptrees_LS0)).
fof(44, axiom,![X8]:![X1]:![X25]:![X35]:![X36]:![X5]:![X2]:s(X8,h4s_sptrees_sptu_u_case(s(t_h4s_sptrees_spt(X1),happ(s(t_fun(X1,t_h4s_sptrees_spt(X1)),h4s_sptrees_ls),s(X1,X2))),s(X8,X25),s(t_fun(X1,X8),X5),s(t_fun(t_h4s_sptrees_spt(X1),t_fun(t_h4s_sptrees_spt(X1),X8)),X36),s(t_fun(t_h4s_sptrees_spt(X1),t_fun(X1,t_fun(t_h4s_sptrees_spt(X1),X8))),X35)))=s(X8,happ(s(t_fun(X1,X8),X5),s(X1,X2))),file('i/f/sptree/spt__distinct_c0', ah4s_sptrees_sptu_u_caseu_u_defu_c1)).
fof(47, axiom,![X1]:s(t_h4s_sptrees_spt(X1),h4s_sptrees_ln)=s(t_h4s_sptrees_spt(X1),h4s_sptrees_u_20u_40indu_u_typesptree0),file('i/f/sptree/spt__distinct_c0', ah4s_sptrees_LN0)).
fof(49, axiom,![X1]:![X8]:![X25]:![X35]:![X36]:![X5]:s(X8,h4s_sptrees_sptu_u_case(s(t_h4s_sptrees_spt(X1),h4s_sptrees_ln),s(X8,X25),s(t_fun(X1,X8),X5),s(t_fun(t_h4s_sptrees_spt(X1),t_fun(t_h4s_sptrees_spt(X1),X8)),X36),s(t_fun(t_h4s_sptrees_spt(X1),t_fun(X1,t_fun(t_h4s_sptrees_spt(X1),X8))),X35)))=s(X8,X25),file('i/f/sptree/spt__distinct_c0', ah4s_sptrees_sptu_u_caseu_u_defu_c0)).
# SZS output end CNFRefutation
