# 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(X3,X1),happ(s(t_fun(X1,t_fun(X3,X1)),X4),s(X1,X5))),s(X3,X6)))=s(X1,X5)=>![X7]:(![X5]:![X8]:s(t_fun(X3,X1),happ(s(t_fun(X2,t_fun(X3,X1)),happ(s(t_fun(X1,t_fun(X2,t_fun(X3,X1))),X7),s(X1,X5))),s(X2,X8)))=s(t_fun(X3,X1),happ(s(t_fun(X1,t_fun(X3,X1)),X4),s(X1,X5)))=>![X9]:(![X5]:s(t_fun(t_h4s_pairs_prod(X2,X3),X1),happ(s(t_fun(X1,t_fun(t_h4s_pairs_prod(X2,X3),X1)),X9),s(X1,X5)))=s(t_fun(t_h4s_pairs_prod(X2,X3),X1),h4s_pairs_uncurry(s(t_fun(X2,t_fun(X3,X1)),happ(s(t_fun(X1,t_fun(X2,t_fun(X3,X1))),X7),s(X1,X5)))))=>![X10]:s(t_h4s_lists_list(X1),h4s_lists_map(s(t_fun(t_h4s_pairs_prod(X1,t_h4s_pairs_prod(X2,X3)),X1),h4s_pairs_uncurry(s(t_fun(X1,t_fun(t_h4s_pairs_prod(X2,X3),X1)),X9))),s(t_h4s_lists_list(t_h4s_pairs_prod(X1,t_h4s_pairs_prod(X2,X3))),X10)))=s(t_h4s_lists_list(X1),h4s_lists_map(s(t_fun(t_h4s_pairs_prod(X1,t_h4s_pairs_prod(X2,X3)),X1),h4s_pairs_fst),s(t_h4s_lists_list(t_h4s_pairs_prod(X1,t_h4s_pairs_prod(X2,X3))),X10)))))),file('i/f/rich_list/MAP__FST__funs', ch4s_richu_u_lists_MAPu_u_FSTu_u_funs)).
fof(2, axiom,![X11]:![X12]:![X13]:![X14]:(![X5]:s(X12,happ(s(t_fun(X11,X12),X13),s(X11,X5)))=s(X12,happ(s(t_fun(X11,X12),X14),s(X11,X5)))=>s(t_fun(X11,X12),X13)=s(t_fun(X11,X12),X14)),file('i/f/rich_list/MAP__FST__funs', aHLu_EXT)).
fof(50, axiom,![X2]:![X1]:![X8]:![X5]:s(X1,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),X1),h4s_pairs_fst),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X5),s(X2,X8)))))=s(X1,X5),file('i/f/rich_list/MAP__FST__funs', ah4s_pairs_FST0)).
fof(51, axiom,![X3]:![X1]:![X2]:![X43]:![X13]:s(X3,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),X3),h4s_pairs_uncurry(s(t_fun(X1,t_fun(X2,X3)),X13))),s(t_h4s_pairs_prod(X1,X2),X43)))=s(X3,happ(s(t_fun(X2,X3),happ(s(t_fun(X1,t_fun(X2,X3)),X13),s(X1,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),X1),h4s_pairs_fst),s(t_h4s_pairs_prod(X1,X2),X43))))),s(X2,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),X2),h4s_pairs_snd),s(t_h4s_pairs_prod(X1,X2),X43))))),file('i/f/rich_list/MAP__FST__funs', ah4s_pairs_UNCURRY0)).
fof(64, axiom,![X1]:![X2]:![X5]:?[X25]:?[X24]:s(t_h4s_pairs_prod(X1,X2),X5)=s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X25),s(X2,X24))),file('i/f/rich_list/MAP__FST__funs', ah4s_pairs_pairu_u_CASES)).
# SZS output end CNFRefutation
