# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(![X4]:![X5]:![X6]:![X7]:s(t_h4s_pairs_prod(t_h4s_lists_list(X1),t_h4s_lists_list(X2)),happ(s(t_fun(t_h4s_lists_list(X2),t_h4s_pairs_prod(t_h4s_lists_list(X1),t_h4s_lists_list(X2))),happ(s(t_fun(X2,t_fun(t_h4s_lists_list(X2),t_h4s_pairs_prod(t_h4s_lists_list(X1),t_h4s_lists_list(X2)))),happ(s(t_fun(t_h4s_lists_list(X1),t_fun(X2,t_fun(t_h4s_lists_list(X2),t_h4s_pairs_prod(t_h4s_lists_list(X1),t_h4s_lists_list(X2))))),happ(s(t_fun(X1,t_fun(t_h4s_lists_list(X1),t_fun(X2,t_fun(t_h4s_lists_list(X2),t_h4s_pairs_prod(t_h4s_lists_list(X1),t_h4s_lists_list(X2)))))),X3),s(X1,X4))),s(t_h4s_lists_list(X1),X5))),s(X2,X6))),s(t_h4s_lists_list(X2),X7)))=s(t_h4s_pairs_prod(t_h4s_lists_list(X1),t_h4s_lists_list(X2)),h4s_pairs_u_2c(s(t_h4s_lists_list(X1),happ(s(t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1)),happ(s(t_fun(X1,t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1))),h4s_lists_cons),s(X1,X4))),s(t_h4s_lists_list(X1),X5))),s(t_h4s_lists_list(X2),happ(s(t_fun(t_h4s_lists_list(X2),t_h4s_lists_list(X2)),happ(s(t_fun(X2,t_fun(t_h4s_lists_list(X2),t_h4s_lists_list(X2))),h4s_lists_cons),s(X2,X6))),s(t_h4s_lists_list(X2),X7)))))=>![X8]:(![X4]:![X6]:![X5]:s(t_fun(t_h4s_lists_list(X2),t_h4s_pairs_prod(t_h4s_lists_list(X1),t_h4s_lists_list(X2))),happ(s(t_fun(t_h4s_lists_list(X1),t_fun(t_h4s_lists_list(X2),t_h4s_pairs_prod(t_h4s_lists_list(X1),t_h4s_lists_list(X2)))),happ(s(t_fun(X2,t_fun(t_h4s_lists_list(X1),t_fun(t_h4s_lists_list(X2),t_h4s_pairs_prod(t_h4s_lists_list(X1),t_h4s_lists_list(X2))))),happ(s(t_fun(X1,t_fun(X2,t_fun(t_h4s_lists_list(X1),t_fun(t_h4s_lists_list(X2),t_h4s_pairs_prod(t_h4s_lists_list(X1),t_h4s_lists_list(X2)))))),X8),s(X1,X4))),s(X2,X6))),s(t_h4s_lists_list(X1),X5)))=s(t_fun(t_h4s_lists_list(X2),t_h4s_pairs_prod(t_h4s_lists_list(X1),t_h4s_lists_list(X2))),happ(s(t_fun(X2,t_fun(t_h4s_lists_list(X2),t_h4s_pairs_prod(t_h4s_lists_list(X1),t_h4s_lists_list(X2)))),happ(s(t_fun(t_h4s_lists_list(X1),t_fun(X2,t_fun(t_h4s_lists_list(X2),t_h4s_pairs_prod(t_h4s_lists_list(X1),t_h4s_lists_list(X2))))),happ(s(t_fun(X1,t_fun(t_h4s_lists_list(X1),t_fun(X2,t_fun(t_h4s_lists_list(X2),t_h4s_pairs_prod(t_h4s_lists_list(X1),t_h4s_lists_list(X2)))))),X3),s(X1,X4))),s(t_h4s_lists_list(X1),X5))),s(X2,X6)))=>![X6]:![X4]:![X9]:s(t_h4s_pairs_prod(t_h4s_lists_list(X1),t_h4s_lists_list(X2)),h4s_lists_unzip(s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),t_h4s_lists_list(t_h4s_pairs_prod(X1,X2))),happ(s(t_fun(t_h4s_pairs_prod(X1,X2),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)))),h4s_lists_cons),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X4),s(X2,X6))))),s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),X9)))))=s(t_h4s_pairs_prod(t_h4s_lists_list(X1),t_h4s_lists_list(X2)),h4s_bools_let(s(t_fun(t_h4s_pairs_prod(t_h4s_lists_list(X1),t_h4s_lists_list(X2)),t_h4s_pairs_prod(t_h4s_lists_list(X1),t_h4s_lists_list(X2))),h4s_pairs_uncurry(s(t_fun(t_h4s_lists_list(X1),t_fun(t_h4s_lists_list(X2),t_h4s_pairs_prod(t_h4s_lists_list(X1),t_h4s_lists_list(X2)))),happ(s(t_fun(X2,t_fun(t_h4s_lists_list(X1),t_fun(t_h4s_lists_list(X2),t_h4s_pairs_prod(t_h4s_lists_list(X1),t_h4s_lists_list(X2))))),happ(s(t_fun(X1,t_fun(X2,t_fun(t_h4s_lists_list(X1),t_fun(t_h4s_lists_list(X2),t_h4s_pairs_prod(t_h4s_lists_list(X1),t_h4s_lists_list(X2)))))),X8),s(X1,X4))),s(X2,X6))))),s(t_h4s_pairs_prod(t_h4s_lists_list(X1),t_h4s_lists_list(X2)),h4s_lists_unzip(s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),X9))))))),file('i/f/list/UNZIP__THM_c1', ch4s_lists_UNZIPu_u_THMu_c1)).
fof(4, axiom,![X2]:![X1]:![X4]:![X10]:s(X2,h4s_bools_let(s(t_fun(X1,X2),X4),s(X1,X10)))=s(X2,happ(s(t_fun(X1,X2),X4),s(X1,X10))),file('i/f/list/UNZIP__THM_c1', ah4s_bools_LETu_u_DEF)).
fof(7, axiom,![X1]:![X2]:![X4]:![X21]:s(t_h4s_pairs_prod(t_h4s_lists_list(X1),t_h4s_lists_list(X2)),h4s_lists_unzip(s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),t_h4s_lists_list(t_h4s_pairs_prod(X1,X2))),happ(s(t_fun(t_h4s_pairs_prod(X1,X2),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)))),h4s_lists_cons),s(t_h4s_pairs_prod(X1,X2),X4))),s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),X21)))))=s(t_h4s_pairs_prod(t_h4s_lists_list(X1),t_h4s_lists_list(X2)),h4s_pairs_u_2c(s(t_h4s_lists_list(X1),happ(s(t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1)),happ(s(t_fun(X1,t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1))),h4s_lists_cons),s(X1,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),X1),h4s_pairs_fst),s(t_h4s_pairs_prod(X1,X2),X4))))),s(t_h4s_lists_list(X1),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_lists_list(X1),t_h4s_lists_list(X2)),t_h4s_lists_list(X1)),h4s_pairs_fst),s(t_h4s_pairs_prod(t_h4s_lists_list(X1),t_h4s_lists_list(X2)),h4s_lists_unzip(s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),X21))))))),s(t_h4s_lists_list(X2),happ(s(t_fun(t_h4s_lists_list(X2),t_h4s_lists_list(X2)),happ(s(t_fun(X2,t_fun(t_h4s_lists_list(X2),t_h4s_lists_list(X2))),h4s_lists_cons),s(X2,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),X2),h4s_pairs_snd),s(t_h4s_pairs_prod(X1,X2),X4))))),s(t_h4s_lists_list(X2),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_lists_list(X1),t_h4s_lists_list(X2)),t_h4s_lists_list(X2)),h4s_pairs_snd),s(t_h4s_pairs_prod(t_h4s_lists_list(X1),t_h4s_lists_list(X2)),h4s_lists_unzip(s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),X21))))))))),file('i/f/list/UNZIP__THM_c1', ah4s_lists_UNZIP0u_c1)).
fof(11, axiom,![X11]:![X1]:![X2]:![X23]:![X22]:s(X11,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),X11),h4s_pairs_uncurry(s(t_fun(X1,t_fun(X2,X11)),X22))),s(t_h4s_pairs_prod(X1,X2),X23)))=s(X11,happ(s(t_fun(X2,X11),happ(s(t_fun(X1,t_fun(X2,X11)),X22),s(X1,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),X1),h4s_pairs_fst),s(t_h4s_pairs_prod(X1,X2),X23))))),s(X2,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),X2),h4s_pairs_snd),s(t_h4s_pairs_prod(X1,X2),X23))))),file('i/f/list/UNZIP__THM_c1', ah4s_pairs_UNCURRYu_u_VAR)).
fof(27, axiom,![X1]:![X2]:![X6]:![X4]:s(X2,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),X2),h4s_pairs_snd),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X4),s(X2,X6)))))=s(X2,X6),file('i/f/list/UNZIP__THM_c1', ah4s_pairs_SND0)).
fof(28, axiom,![X2]:![X1]:![X6]:![X4]: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,X4),s(X2,X6)))))=s(X1,X4),file('i/f/list/UNZIP__THM_c1', ah4s_pairs_FST0)).
# SZS output end CNFRefutation
