# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(s(t_fun(t_h4s_pairs_prod(X1,X2),X3),h4s_pairs_uncurry(s(t_fun(X1,t_fun(X2,X3)),X5)))=s(t_fun(t_h4s_pairs_prod(X1,X2),X3),h4s_pairs_uncurry(s(t_fun(X1,t_fun(X2,X3)),X4)))<=>s(t_fun(X1,t_fun(X2,X3)),X5)=s(t_fun(X1,t_fun(X2,X3)),X4)),file('i/f/pair/UNCURRY__ONE__ONE__THM', ch4s_pairs_UNCURRYu_u_ONEu_u_ONEu_u_THM)).
fof(3, axiom,![X6]:![X7]:![X5]:![X4]:(![X8]:s(X7,happ(s(t_fun(X6,X7),X5),s(X6,X8)))=s(X7,happ(s(t_fun(X6,X7),X4),s(X6,X8)))=>s(t_fun(X6,X7),X5)=s(t_fun(X6,X7),X4)),file('i/f/pair/UNCURRY__ONE__ONE__THM', aHLu_EXT)).
fof(8, axiom,![X3]:![X1]:![X2]:![X12]:![X8]:![X5]:s(X3,h4s_pairs_curry(s(t_fun(t_h4s_pairs_prod(X1,X2),X3),X5),s(X1,X8),s(X2,X12)))=s(X3,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),X3),X5),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X8),s(X2,X12))))),file('i/f/pair/UNCURRY__ONE__ONE__THM', ah4s_pairs_CURRYu_u_DEF)).
fof(9, axiom,![X3]:![X1]:![X2]:![X12]:![X8]:![X5]:s(X3,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),X3),h4s_pairs_uncurry(s(t_fun(X1,t_fun(X2,X3)),X5))),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X8),s(X2,X12)))))=s(X3,happ(s(t_fun(X2,X3),happ(s(t_fun(X1,t_fun(X2,X3)),X5),s(X1,X8))),s(X2,X12))),file('i/f/pair/UNCURRY__ONE__ONE__THM', ah4s_pairs_UNCURRYu_u_DEF)).
# SZS output end CNFRefutation
