# 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(X1,X2),X7)=s(t_h4s_pairs_prod(X1,X2),X6)&![X8]:![X9]:(s(t_h4s_pairs_prod(X1,X2),X6)=s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X8),s(X2,X9)))=>s(X3,happ(s(t_fun(X2,X3),happ(s(t_fun(X1,t_fun(X2,X3)),X5),s(X1,X8))),s(X2,X9)))=s(X3,happ(s(t_fun(X2,X3),happ(s(t_fun(X1,t_fun(X2,X3)),X4),s(X1,X8))),s(X2,X9)))))=>s(X3,h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(X1,X2),X7),s(t_fun(X1,t_fun(X2,X3)),X5)))=s(X3,h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(X1,X2),X6),s(t_fun(X1,t_fun(X2,X3)),X4)))),file('i/f/pair/pair__case__cong', ch4s_pairs_pairu_u_caseu_u_cong)).
fof(6, axiom,![X3]:![X1]:![X8]:?[X14]:?[X15]:s(t_h4s_pairs_prod(X3,X1),X8)=s(t_h4s_pairs_prod(X3,X1),h4s_pairs_u_2c(s(X3,X14),s(X1,X15))),file('i/f/pair/pair__case__cong', ah4s_pairs_pairu_u_CASES)).
fof(7, axiom,![X3]:![X1]:![X2]:![X9]:![X8]:![X5]:s(X3,h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X8),s(X2,X9))),s(t_fun(X1,t_fun(X2,X3)),X5)))=s(X3,happ(s(t_fun(X2,X3),happ(s(t_fun(X1,t_fun(X2,X3)),X5),s(X1,X8))),s(X2,X9))),file('i/f/pair/pair__case__cong', ah4s_pairs_pairu_u_caseu_u_thm)).
# SZS output end CNFRefutation
