# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(![X4]:![X5]:![X6]:s(X1,happ(s(t_fun(X2,X1),happ(s(t_fun(X1,t_fun(X2,X1)),happ(s(t_fun(t_fun(X2,t_fun(X1,X1)),t_fun(X1,t_fun(X2,X1))),X3),s(t_fun(X2,t_fun(X1,X1)),X4))),s(X1,X5))),s(X2,X6)))=s(X1,happ(s(t_fun(X1,X1),happ(s(t_fun(X2,t_fun(X1,X1)),X4),s(X2,X6))),s(X1,X5)))=>![X7]:(![X4]:![X5]:s(t_fun(X2,X1),happ(s(t_fun(X1,t_fun(X2,X1)),happ(s(t_fun(t_fun(X2,t_fun(X1,X1)),t_fun(X1,t_fun(X2,X1))),X7),s(t_fun(X2,t_fun(X1,X1)),X4))),s(X1,X5)))=s(t_fun(X2,X1),happ(s(t_fun(X1,t_fun(X2,X1)),happ(s(t_fun(t_fun(X2,t_fun(X1,X1)),t_fun(X1,t_fun(X2,X1))),X3),s(t_fun(X2,t_fun(X1,X1)),X4))),s(X1,X5)))=>![X8]:![X4]:![X9]:s(X1,h4s_lists_foldr(s(t_fun(X2,t_fun(X1,X1)),X4),s(X1,X9),s(t_h4s_lists_list(X2),h4s_lists_reverse(s(t_h4s_lists_list(X2),X8)))))=s(X1,h4s_lists_foldl(s(t_fun(X1,t_fun(X2,X1)),happ(s(t_fun(t_fun(X2,t_fun(X1,X1)),t_fun(X1,t_fun(X2,X1))),X7),s(t_fun(X2,t_fun(X1,X1)),X4))),s(X1,X9),s(t_h4s_lists_list(X2),X8))))),file('i/f/rich_list/FOLDR__REVERSE', ch4s_richu_u_lists_FOLDRu_u_REVERSE)).
fof(5, axiom,![X11]:![X12]:![X4]:![X13]:(![X5]:s(X12,happ(s(t_fun(X11,X12),X4),s(X11,X5)))=s(X12,happ(s(t_fun(X11,X12),X13),s(X11,X5)))=>s(t_fun(X11,X12),X4)=s(t_fun(X11,X12),X13)),file('i/f/rich_list/FOLDR__REVERSE', aHLu_EXT)).
fof(9, axiom,![X2]:![X8]:s(t_h4s_lists_list(X2),h4s_lists_reverse(s(t_h4s_lists_list(X2),h4s_lists_reverse(s(t_h4s_lists_list(X2),X8)))))=s(t_h4s_lists_list(X2),X8),file('i/f/rich_list/FOLDR__REVERSE', ah4s_lists_REVERSEu_u_REVERSE)).
fof(10, axiom,![X1]:![X2]:![X3]:(![X4]:![X5]:![X6]:s(X1,happ(s(t_fun(X2,X1),happ(s(t_fun(X1,t_fun(X2,X1)),happ(s(t_fun(t_fun(X2,t_fun(X1,X1)),t_fun(X1,t_fun(X2,X1))),X3),s(t_fun(X2,t_fun(X1,X1)),X4))),s(X1,X5))),s(X2,X6)))=s(X1,happ(s(t_fun(X1,X1),happ(s(t_fun(X2,t_fun(X1,X1)),X4),s(X2,X6))),s(X1,X5)))=>![X7]:(![X4]:![X5]:s(t_fun(X2,X1),happ(s(t_fun(X1,t_fun(X2,X1)),happ(s(t_fun(t_fun(X2,t_fun(X1,X1)),t_fun(X1,t_fun(X2,X1))),X7),s(t_fun(X2,t_fun(X1,X1)),X4))),s(X1,X5)))=s(t_fun(X2,X1),happ(s(t_fun(X1,t_fun(X2,X1)),happ(s(t_fun(t_fun(X2,t_fun(X1,X1)),t_fun(X1,t_fun(X2,X1))),X3),s(t_fun(X2,t_fun(X1,X1)),X4))),s(X1,X5)))=>![X8]:![X4]:![X9]:s(X1,h4s_lists_foldr(s(t_fun(X2,t_fun(X1,X1)),X4),s(X1,X9),s(t_h4s_lists_list(X2),X8)))=s(X1,h4s_lists_foldl(s(t_fun(X1,t_fun(X2,X1)),happ(s(t_fun(t_fun(X2,t_fun(X1,X1)),t_fun(X1,t_fun(X2,X1))),X7),s(t_fun(X2,t_fun(X1,X1)),X4))),s(X1,X9),s(t_h4s_lists_list(X2),h4s_lists_reverse(s(t_h4s_lists_list(X2),X8))))))),file('i/f/rich_list/FOLDR__REVERSE', ah4s_richu_u_lists_FOLDRu_u_FOLDLu_u_REVERSE)).
# SZS output end CNFRefutation
