# 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),X4)))=>(s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_sortings_perm(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),X2)))=>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),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),X4),s(t_h4s_lists_list(X1),X2))))))),file('i/f/sorting/PERM__FUN__APPEND0', ch4s_sortings_PERMu_u_FUNu_u_APPEND0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/sorting/PERM__FUN__APPEND0', aHLu_TRUTH)).
fof(9, axiom,![X11]:(s(t_bool,X11)=s(t_bool,t)<=>p(s(t_bool,X11))),file('i/f/sorting/PERM__FUN__APPEND0', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(12, 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__APPEND0', ah4s_sortings_PERMu_u_EQUIVALENCEu_u_ALTu_u_DEF)).
fof(13, axiom,![X1]:![X18]:![X19]:![X20]:![X21]:((p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_sortings_perm(s(t_h4s_lists_list(X1),X21))),s(t_h4s_lists_list(X1),X19))))&p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_sortings_perm(s(t_h4s_lists_list(X1),X20))),s(t_h4s_lists_list(X1),X18)))))=>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),X21),s(t_h4s_lists_list(X1),X20))))),s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X19),s(t_h4s_lists_list(X1),X18))))))),file('i/f/sorting/PERM__FUN__APPEND0', ah4s_sortings_PERMu_u_CONG)).
fof(14, axiom,![X11]:(s(t_bool,X11)=s(t_bool,t)|s(t_bool,X11)=s(t_bool,f)),file('i/f/sorting/PERM__FUN__APPEND0', aHLu_BOOLu_CASES)).
fof(15, axiom,~(p(s(t_bool,f))),file('i/f/sorting/PERM__FUN__APPEND0', aHLu_FALSITY)).
# SZS output end CNFRefutation
