# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:s(t_fun(X1,X2),h4s_combins_update(s(X1,X4),s(X2,happ(s(t_fun(X1,X2),X3),s(X1,X4))),s(t_fun(X1,X2),X3)))=s(t_fun(X1,X2),X3),file('i/f/combin/APPLY__UPDATE__ID', ch4s_combins_APPLYu_u_UPDATEu_u_ID)).
fof(52, axiom,![X1]:![X2]:![X3]:![X18]:![X4]:(s(X2,happ(s(t_fun(X1,X2),X3),s(X1,X4)))=s(X2,X18)=>s(t_fun(X1,X2),h4s_combins_update(s(X1,X4),s(X2,X18),s(t_fun(X1,X2),X3)))=s(t_fun(X1,X2),X3)),file('i/f/combin/APPLY__UPDATE__ID', ah4s_combins_UPDATEu_u_APPLYu_u_IMPu_u_ID)).
# SZS output end CNFRefutation
