# 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),happ(s(t_fun(X3,t_h4s_pairs_prod(X2,X3)),happ(s(t_fun(X2,t_fun(X3,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(31, axiom,![X3]:![X1]:![X2]:![X4]:![X5]:![X6]:s(X3,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),X3),h4s_pairs_uncurry(s(t_fun(X1,t_fun(X2,X3)),X6))),s(t_h4s_pairs_prod(X1,X2),happ(s(t_fun(X2,t_h4s_pairs_prod(X1,X2)),happ(s(t_fun(X1,t_fun(X2,t_h4s_pairs_prod(X1,X2))),h4s_pairs_u_2c),s(X1,X5))),s(X2,X4)))))=s(X3,happ(s(t_fun(X2,X3),happ(s(t_fun(X1,t_fun(X2,X3)),X6),s(X1,X5))),s(X2,X4))),file('i/f/pair/pair__case__thm', ah4s_pairs_UNCURRYu_u_DEF)).
fof(43, axiom,![X1]:![X2]:![X3]:![X23]:![X6]:s(X1,h4s_pairs_pairu_u_case(s(t_h4s_pairs_prod(X2,X3),X23),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),X23))))),s(X3,h4s_pairs_snd(s(t_h4s_pairs_prod(X2,X3),X23))))),file('i/f/pair/pair__case__thm', ah4s_pairs_pairu_u_CASEu_u_def)).
fof(48, axiom,![X3]:![X1]:![X2]:![X19]:![X6]:s(X3,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),X3),h4s_pairs_uncurry(s(t_fun(X1,t_fun(X2,X3)),X6))),s(t_h4s_pairs_prod(X1,X2),X19)))=s(X3,happ(s(t_fun(X2,X3),happ(s(t_fun(X1,t_fun(X2,X3)),X6),s(X1,h4s_pairs_fst(s(t_h4s_pairs_prod(X1,X2),X19))))),s(X2,h4s_pairs_snd(s(t_h4s_pairs_prod(X1,X2),X19))))),file('i/f/pair/pair__case__thm', ah4s_pairs_UNCURRY0)).
# SZS output end CNFRefutation
