# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:![X7]:![X8]:s(t_h4s_pairs_prod(X1,X3),h4s_pairs_u_23u_23(s(t_fun(X2,X1),X8),s(t_fun(X4,X3),X7),s(t_h4s_pairs_prod(X2,X4),h4s_pairs_u_2c(s(X2,X6),s(X4,X5)))))=s(t_h4s_pairs_prod(X1,X3),h4s_pairs_u_2c(s(X1,happ(s(t_fun(X2,X1),X8),s(X2,X6))),s(X3,happ(s(t_fun(X4,X3),X7),s(X4,X5))))),file('i/f/pair/PAIR__MAP__THM', ch4s_pairs_PAIRu_u_MAPu_u_THM)).
fof(7, axiom,![X1]:![X2]:![X5]:![X6]:s(X2,h4s_pairs_fst(s(t_h4s_pairs_prod(X2,X1),h4s_pairs_u_2c(s(X2,X6),s(X1,X5)))))=s(X2,X6),file('i/f/pair/PAIR__MAP__THM', ah4s_pairs_FST0)).
fof(8, axiom,![X2]:![X1]:![X5]:![X6]:s(X1,h4s_pairs_snd(s(t_h4s_pairs_prod(X2,X1),h4s_pairs_u_2c(s(X2,X6),s(X1,X5)))))=s(X1,X5),file('i/f/pair/PAIR__MAP__THM', ah4s_pairs_SND0)).
fof(9, axiom,![X4]:![X3]:![X2]:![X1]:![X12]:![X7]:![X8]:s(t_h4s_pairs_prod(X4,X3),h4s_pairs_u_23u_23(s(t_fun(X2,X4),X8),s(t_fun(X1,X3),X7),s(t_h4s_pairs_prod(X2,X1),X12)))=s(t_h4s_pairs_prod(X4,X3),h4s_pairs_u_2c(s(X4,happ(s(t_fun(X2,X4),X8),s(X2,h4s_pairs_fst(s(t_h4s_pairs_prod(X2,X1),X12))))),s(X3,happ(s(t_fun(X1,X3),X7),s(X1,h4s_pairs_snd(s(t_h4s_pairs_prod(X2,X1),X12))))))),file('i/f/pair/PAIR__MAP__THM', ah4s_pairs_PAIRu_u_MAP)).
# SZS output end CNFRefutation
