# 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(X2,X3),X7)=s(t_h4s_pairs_prod(X2,X3),X6)&![X8]:![X9]:(s(t_h4s_pairs_prod(X2,X3),X6)=s(t_h4s_pairs_prod(X2,X3),h4s_pairs_u_2c(s(X2,X8),s(X3,X9)))=>s(X1,happ(s(t_fun(X3,X1),happ(s(t_fun(X2,t_fun(X3,X1)),X5),s(X2,X8))),s(X3,X9)))=s(X1,happ(s(t_fun(X3,X1),happ(s(t_fun(X2,t_fun(X3,X1)),X4),s(X2,X8))),s(X3,X9)))))=>s(X1,happ(s(t_fun(t_h4s_pairs_prod(X2,X3),X1),h4s_pairs_uncurry(s(t_fun(X2,t_fun(X3,X1)),X5))),s(t_h4s_pairs_prod(X2,X3),X7)))=s(X1,happ(s(t_fun(t_h4s_pairs_prod(X2,X3),X1),h4s_pairs_uncurry(s(t_fun(X2,t_fun(X3,X1)),X4))),s(t_h4s_pairs_prod(X2,X3),X6)))),file('i/f/pair/UNCURRY__CONG', ch4s_pairs_UNCURRYu_u_CONG)).
fof(31, axiom,![X1]:![X2]:![X3]:![X25]:![X5]:s(X1,happ(s(t_fun(t_h4s_pairs_prod(X2,X3),X1),h4s_pairs_uncurry(s(t_fun(X2,t_fun(X3,X1)),X5))),s(t_h4s_pairs_prod(X2,X3),X25)))=s(X1,happ(s(t_fun(X3,X1),happ(s(t_fun(X2,t_fun(X3,X1)),X5),s(X2,h4s_pairs_fst(s(t_h4s_pairs_prod(X2,X3),X25))))),s(X3,h4s_pairs_snd(s(t_h4s_pairs_prod(X2,X3),X25))))),file('i/f/pair/UNCURRY__CONG', ah4s_pairs_UNCURRY0)).
fof(36, axiom,![X3]:![X2]:![X9]:![X8]:s(X2,h4s_pairs_fst(s(t_h4s_pairs_prod(X2,X3),h4s_pairs_u_2c(s(X2,X8),s(X3,X9)))))=s(X2,X8),file('i/f/pair/UNCURRY__CONG', ah4s_pairs_FST0)).
fof(37, axiom,![X2]:![X3]:![X8]:s(t_h4s_pairs_prod(X2,X3),h4s_pairs_u_2c(s(X2,h4s_pairs_fst(s(t_h4s_pairs_prod(X2,X3),X8))),s(X3,h4s_pairs_snd(s(t_h4s_pairs_prod(X2,X3),X8)))))=s(t_h4s_pairs_prod(X2,X3),X8),file('i/f/pair/UNCURRY__CONG', ah4s_pairs_PAIR)).
fof(39, axiom,![X2]:![X3]:![X8]:?[X17]:?[X19]:s(t_h4s_pairs_prod(X2,X3),X8)=s(t_h4s_pairs_prod(X2,X3),h4s_pairs_u_2c(s(X2,X17),s(X3,X19))),file('i/f/pair/UNCURRY__CONG', ah4s_pairs_ABSu_u_PAIRu_u_THM)).
# SZS output end CNFRefutation
