# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:s(t_h4s_lists_list(t_bool),h4s_encodes_encodeu_u_prod(s(t_fun(X1,t_h4s_lists_list(t_bool)),X4),s(t_fun(X2,t_h4s_lists_list(t_bool)),X3),s(t_h4s_pairs_prod(X1,X2),X5)))=s(t_h4s_lists_list(t_bool),h4s_lists_append(s(t_h4s_lists_list(t_bool),happ(s(t_fun(X1,t_h4s_lists_list(t_bool)),X4),s(X1,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),X1),h4s_pairs_fst),s(t_h4s_pairs_prod(X1,X2),X5))))),s(t_h4s_lists_list(t_bool),happ(s(t_fun(X2,t_h4s_lists_list(t_bool)),X3),s(X2,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),X2),h4s_pairs_snd),s(t_h4s_pairs_prod(X1,X2),X5))))))),file('i/f/Encode/encode__prod__alt', ch4s_Encodes_encodeu_u_produ_u_alt)).
fof(45, axiom,![X1]:![X2]:![X3]:![X11]:![X4]:![X10]:s(t_h4s_lists_list(t_bool),h4s_encodes_encodeu_u_prod(s(t_fun(X1,t_h4s_lists_list(t_bool)),X4),s(t_fun(X2,t_h4s_lists_list(t_bool)),X3),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X10),s(X2,X11)))))=s(t_h4s_lists_list(t_bool),h4s_lists_append(s(t_h4s_lists_list(t_bool),happ(s(t_fun(X1,t_h4s_lists_list(t_bool)),X4),s(X1,X10))),s(t_h4s_lists_list(t_bool),happ(s(t_fun(X2,t_h4s_lists_list(t_bool)),X3),s(X2,X11))))),file('i/f/Encode/encode__prod__alt', ah4s_Encodes_encodeu_u_produ_u_def)).
fof(48, axiom,![X1]:![X2]:![X10]:s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),X1),h4s_pairs_fst),s(t_h4s_pairs_prod(X1,X2),X10))),s(X2,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),X2),h4s_pairs_snd),s(t_h4s_pairs_prod(X1,X2),X10)))))=s(t_h4s_pairs_prod(X1,X2),X10),file('i/f/Encode/encode__prod__alt', ah4s_pairs_PAIR)).
# SZS output end CNFRefutation
