# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_sortings_perm(s(t_h4s_lists_list(X1),X5)))=s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_sortings_perm(s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X4),s(t_h4s_lists_list(X1),X3)))))=>s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_sortings_perm(s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X2),s(t_h4s_lists_list(X1),X5)))))=s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_sortings_perm(s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X4),s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X2),s(t_h4s_lists_list(X1),X3)))))))),file('i/f/sorting/PERM__FUN__APPEND__APPEND__2', ch4s_sortings_PERMu_u_FUNu_u_APPENDu_u_APPENDu_u_2)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/sorting/PERM__FUN__APPEND__APPEND__2', aHLu_TRUTH)).
fof(8, axiom,![X11]:(s(t_bool,X11)=s(t_bool,t)<=>p(s(t_bool,X11))),file('i/f/sorting/PERM__FUN__APPEND__APPEND__2', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(11, axiom,![X1]:![X3]:![X4]:![X5]:s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X5),s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X4),s(t_h4s_lists_list(X1),X3)))))=s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X5),s(t_h4s_lists_list(X1),X4))),s(t_h4s_lists_list(X1),X3))),file('i/f/sorting/PERM__FUN__APPEND__APPEND__2', ah4s_lists_APPENDu_u_ASSOC)).
fof(13, axiom,![X1]:![X4]:![X5]:p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_sortings_perm(s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X5),s(t_h4s_lists_list(X1),X4))))),s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X4),s(t_h4s_lists_list(X1),X5)))))),file('i/f/sorting/PERM__FUN__APPEND__APPEND__2', ah4s_sortings_PERMu_u_APPEND)).
fof(14, axiom,![X1]:![X4]:![X5]:![X22]:s(t_bool,happ(s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_sortings_perm(s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X5),s(t_h4s_lists_list(X1),X22))))),s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X4),s(t_h4s_lists_list(X1),X22)))))=s(t_bool,happ(s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_sortings_perm(s(t_h4s_lists_list(X1),X5))),s(t_h4s_lists_list(X1),X4))),file('i/f/sorting/PERM__FUN__APPEND__APPEND__2', ah4s_sortings_PERMu_u_APPENDu_u_IFFu_c1)).
fof(15, axiom,![X1]:![X12]:![X10]:(p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_sortings_perm(s(t_h4s_lists_list(X1),X10))),s(t_h4s_lists_list(X1),X12))))<=>s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_sortings_perm(s(t_h4s_lists_list(X1),X10)))=s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_sortings_perm(s(t_h4s_lists_list(X1),X12)))),file('i/f/sorting/PERM__FUN__APPEND__APPEND__2', ah4s_sortings_PERMu_u_EQUIVALENCEu_u_ALTu_u_DEF)).
fof(16, axiom,![X11]:(s(t_bool,X11)=s(t_bool,t)|s(t_bool,X11)=s(t_bool,f)),file('i/f/sorting/PERM__FUN__APPEND__APPEND__2', aHLu_BOOLu_CASES)).
fof(17, axiom,~(p(s(t_bool,f))),file('i/f/sorting/PERM__FUN__APPEND__APPEND__2', aHLu_FALSITY)).
# SZS output end CNFRefutation
