# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:![X7]:((p(s(t_bool,h4s_lists_listu_u_rel(s(t_fun(X1,t_fun(X2,t_bool)),X7),s(t_h4s_lists_list(X1),X6),s(t_h4s_lists_list(X2),X5))))&p(s(t_bool,h4s_lists_listu_u_rel(s(t_fun(X1,t_fun(X2,t_bool)),X7),s(t_h4s_lists_list(X1),X4),s(t_h4s_lists_list(X2),X3)))))=>p(s(t_bool,h4s_lists_listu_u_rel(s(t_fun(X1,t_fun(X2,t_bool)),X7),s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X6),s(t_h4s_lists_list(X1),X4))),s(t_h4s_lists_list(X2),h4s_lists_append(s(t_h4s_lists_list(X2),X5),s(t_h4s_lists_list(X2),X3))))))),file('i/f/rich_list/EVERY2__APPEND__suff', ch4s_richu_u_lists_EVERY2u_u_APPENDu_u_suff)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/rich_list/EVERY2__APPEND__suff', aHLu_FALSITY)).
fof(18, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:![X7]:((p(s(t_bool,h4s_lists_listu_u_rel(s(t_fun(X1,t_fun(X2,t_bool)),X7),s(t_h4s_lists_list(X1),X6),s(t_h4s_lists_list(X2),X5))))&p(s(t_bool,h4s_lists_listu_u_rel(s(t_fun(X1,t_fun(X2,t_bool)),X7),s(t_h4s_lists_list(X1),X4),s(t_h4s_lists_list(X2),X3)))))<=>(p(s(t_bool,h4s_lists_listu_u_rel(s(t_fun(X1,t_fun(X2,t_bool)),X7),s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X6),s(t_h4s_lists_list(X1),X4))),s(t_h4s_lists_list(X2),h4s_lists_append(s(t_h4s_lists_list(X2),X5),s(t_h4s_lists_list(X2),X3))))))&(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X6)))=s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X2),X5)))&s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X4)))=s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X2),X3)))))),file('i/f/rich_list/EVERY2__APPEND__suff', ah4s_richu_u_lists_EVERY2u_u_APPEND)).
fof(20, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)|s(t_bool,X8)=s(t_bool,f)),file('i/f/rich_list/EVERY2__APPEND__suff', aHLu_BOOLu_CASES)).
fof(21, axiom,p(s(t_bool,t)),file('i/f/rich_list/EVERY2__APPEND__suff', aHLu_TRUTH)).
fof(23, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)<=>p(s(t_bool,X8))),file('i/f/rich_list/EVERY2__APPEND__suff', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
