# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:(~(s(X2,X5)=s(X2,X4))=>~(s(t_fun(X1,X2),h4s_combins_update(s(X1,X6),s(X2,X5),s(t_fun(X1,X2),X3)))=s(t_fun(X1,X2),h4s_combins_update(s(X1,X6),s(X2,X4),s(t_fun(X1,X2),X3))))),file('i/f/combin/SAME__KEY__UPDATE__DIFFER', ch4s_combins_SAMEu_u_KEYu_u_UPDATEu_u_DIFFER)).
fof(42, axiom,![X14]:![X13]:![X10]:![X3]:![X6]:s(X13,happ(s(t_fun(X14,X13),h4s_combins_update(s(X14,X6),s(X13,X10),s(t_fun(X14,X13),X3))),s(X14,X6)))=s(X13,X10),file('i/f/combin/SAME__KEY__UPDATE__DIFFER', ah4s_combins_UPDATEu_u_APPLYu_c0)).
# SZS output end CNFRefutation
