# 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,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,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(6, axiom,![X1]:![X2]:![X10]:?[X11]:?[X12]:s(t_h4s_pairs_prod(X1,X2),X10)=s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X11),s(X2,X12))),file('i/f/Encode/encode__prod__alt', ah4s_pairs_ABSu_u_PAIRu_u_THM)).
fof(7, axiom,![X1]:![X2]:![X3]:![X13]:![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,X13)))))=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,X13))))),file('i/f/Encode/encode__prod__alt', ah4s_Encodes_encodeu_u_produ_u_def)).
fof(8, axiom,![X1]:![X2]:![X13]:![X10]:s(X2,h4s_pairs_snd(s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X10),s(X2,X13)))))=s(X2,X13),file('i/f/Encode/encode__prod__alt', ah4s_pairs_SND0)).
fof(9, axiom,![X2]:![X1]:![X13]:![X10]:s(X1,h4s_pairs_fst(s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X10),s(X2,X13)))))=s(X1,X10),file('i/f/Encode/encode__prod__alt', ah4s_pairs_FST0)).
# SZS output end CNFRefutation
