# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:(p(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),h4s_lists_append(s(t_h4s_lists_list(X1),X6),s(t_h4s_lists_list(X1),X4))))))=>(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),h4s_lists_append(s(t_h4s_lists_list(X1),X6),s(t_h4s_lists_list(X1),X2))))))=>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),X3)))=s(t_bool,happ(s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_sortings_perm(s(t_h4s_lists_list(X1),X4))),s(t_h4s_lists_list(X1),X2))))),file('i/f/sorting/PERM__CONG__APPEND__IFF', ch4s_sortings_PERMu_u_CONGu_u_APPENDu_u_IFF)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/sorting/PERM__CONG__APPEND__IFF', aHLu_FALSITY)).
fof(4, axiom,![X12]:![X13]:((p(s(t_bool,X13))=>p(s(t_bool,X12)))=>((p(s(t_bool,X12))=>p(s(t_bool,X13)))=>s(t_bool,X13)=s(t_bool,X12))),file('i/f/sorting/PERM__CONG__APPEND__IFF', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(24, axiom,![X1]:![X3]:![X5]:![X6]: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),X6),s(t_h4s_lists_list(X1),X5))))),s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X6),s(t_h4s_lists_list(X1),X3)))))=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),X3))),file('i/f/sorting/PERM__CONG__APPEND__IFF', ah4s_sortings_PERMu_u_APPENDu_u_IFFu_c0)).
fof(26, axiom,![X1]:![X15]:![X11]:(p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_sortings_perm(s(t_h4s_lists_list(X1),X11))),s(t_h4s_lists_list(X1),X15))))<=>s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_sortings_perm(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),X15)))),file('i/f/sorting/PERM__CONG__APPEND__IFF', ah4s_sortings_PERMu_u_EQUIVALENCEu_u_ALTu_u_DEF)).
fof(27, axiom,![X14]:(s(t_bool,X14)=s(t_bool,t)|s(t_bool,X14)=s(t_bool,f)),file('i/f/sorting/PERM__CONG__APPEND__IFF', aHLu_BOOLu_CASES)).
fof(28, axiom,p(s(t_bool,t)),file('i/f/sorting/PERM__CONG__APPEND__IFF', aHLu_TRUTH)).
fof(30, axiom,![X14]:(s(t_bool,X14)=s(t_bool,t)<=>p(s(t_bool,X14))),file('i/f/sorting/PERM__CONG__APPEND__IFF', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
