# 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_cons(s(X1,X3),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),h4s_lists_cons(s(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_cons(s(X1,X3),s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X2),s(t_h4s_lists_list(X1),X4)))))))),file('i/f/sorting/PERM__FUN__CONS__11__SWAP__AT__FRONT', ch4s_sortings_PERMu_u_FUNu_u_CONSu_u_11u_u_SWAPu_u_ATu_u_FRONT)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/sorting/PERM__FUN__CONS__11__SWAP__AT__FRONT', aHLu_TRUTH)).
fof(6, axiom,![X10]:(s(t_bool,X10)=s(t_bool,t)<=>p(s(t_bool,X10))),file('i/f/sorting/PERM__FUN__CONS__11__SWAP__AT__FRONT', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(7, axiom,![X1]:![X3]:![X4]:![X5]: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_cons(s(X1,X3),s(t_h4s_lists_list(X1),X5))))),s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X3),s(t_h4s_lists_list(X1),X4)))))=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__CONS__11__SWAP__AT__FRONT', ah4s_sortings_PERMu_u_CONSu_u_IFF)).
fof(8, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_sortings_perm(s(t_h4s_lists_list(X1),X3))),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),X3)))=s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_sortings_perm(s(t_h4s_lists_list(X1),X2)))),file('i/f/sorting/PERM__FUN__CONS__11__SWAP__AT__FRONT', ah4s_sortings_PERMu_u_EQUIVALENCEu_u_ALTu_u_DEF)).
fof(9, axiom,![X1]:![X2]:![X3]:![X11]:s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_sortings_perm(s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X3),s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X2),s(t_h4s_lists_list(X1),X11)))))))=s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_sortings_perm(s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X2),s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X3),s(t_h4s_lists_list(X1),X11))))))),file('i/f/sorting/PERM__FUN__CONS__11__SWAP__AT__FRONT', ah4s_sortings_PERMu_u_FUNu_u_SWAPu_u_ATu_u_FRONT)).
# SZS output end CNFRefutation
