# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:s(X1,h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(X2,X3),h4s_pairs_u_2c(s(X2,X5),s(X3,X4))),s(t_fun(X2,t_fun(X3,X1)),X6)))=s(X1,happ(s(t_fun(X3,X1),happ(s(t_fun(X2,t_fun(X3,X1)),X6),s(X2,X5))),s(X3,X4))),file('i/f/pair/pair__case__thm', ch4s_pairs_pairu_u_caseu_u_thm)).
fof(6, axiom,![X2]:![X1]:![X4]:![X5]:s(X1,h4s_pairs_fst(s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X5),s(X2,X4)))))=s(X1,X5),file('i/f/pair/pair__case__thm', ah4s_pairs_FST0)).
fof(7, axiom,![X1]:![X2]:![X4]:![X5]:s(X2,h4s_pairs_snd(s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X5),s(X2,X4)))))=s(X2,X4),file('i/f/pair/pair__case__thm', ah4s_pairs_SND0)).
fof(8, axiom,![X1]:![X2]:![X3]:![X11]:![X6]:s(X1,h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(X2,X3),X11),s(t_fun(X2,t_fun(X3,X1)),X6)))=s(X1,happ(s(t_fun(X3,X1),happ(s(t_fun(X2,t_fun(X3,X1)),X6),s(X2,h4s_pairs_fst(s(t_h4s_pairs_prod(X2,X3),X11))))),s(X3,h4s_pairs_snd(s(t_h4s_pairs_prod(X2,X3),X11))))),file('i/f/pair/pair__case__thm', ah4s_pairs_pairu_u_CASEu_u_def)).
# SZS output end CNFRefutation
