# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(X1,h4s_lists_last(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,X2))),s(t_h4s_lists_list(X1),h4s_lists_nil)))))=s(X1,X2),file('i/f/list/LAST__CONS_c0', ch4s_lists_LASTu_u_CONSu_c0)).
fof(32, axiom,![X1]:![X13]:![X23]:?[X24]:((p(s(t_bool,X24))<=>s(t_h4s_lists_list(X1),X13)=s(t_h4s_lists_list(X1),h4s_lists_nil))&s(X1,h4s_lists_last(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,X23))),s(t_h4s_lists_list(X1),X13)))))=s(X1,h4s_bools_cond(s(t_bool,X24),s(X1,X23),s(X1,h4s_lists_last(s(t_h4s_lists_list(X1),X13)))))),file('i/f/list/LAST__CONS_c0', ah4s_lists_LASTu_u_DEF)).
fof(45, axiom,~(p(s(t_bool,f))),file('i/f/list/LAST__CONS_c0', aHLu_FALSITY)).
fof(49, axiom,![X13]:(s(t_bool,X13)=s(t_bool,f)<=>~(p(s(t_bool,X13)))),file('i/f/list/LAST__CONS_c0', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(53, axiom,(p(s(t_bool,f))<=>![X13]:p(s(t_bool,X13))),file('i/f/list/LAST__CONS_c0', ah4s_bools_Fu_u_DEF)).
fof(63, axiom,![X1]:![X10]:![X11]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X11),s(X1,X10)))=s(X1,X11),file('i/f/list/LAST__CONS_c0', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(70, axiom,![X13]:(s(t_bool,X13)=s(t_bool,t)|s(t_bool,X13)=s(t_bool,f)),file('i/f/list/LAST__CONS_c0', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
