# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(s(X2,happ(s(t_fun(X1,X2),X3),s(X1,X5)))=s(X2,X4)<=>s(t_fun(X1,X2),happ(s(t_fun(t_fun(X1,X2),t_fun(X1,X2)),h4s_combins_update(s(X1,X5),s(X2,X4))),s(t_fun(X1,X2),X3)))=s(t_fun(X1,X2),X3)),file('i/f/update/UPDATE__APPLY__ID', ch4s_updates_UPDATEu_u_APPLYu_u_ID)).
fof(40, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:(s(X2,happ(s(t_fun(X1,X2),X3),s(X1,X5)))=s(X2,X4)<=>s(t_fun(X1,X2),happ(s(t_fun(t_fun(X1,X2),t_fun(X1,X2)),h4s_combins_update(s(X1,X5),s(X2,X4))),s(t_fun(X1,X2),X3)))=s(t_fun(X1,X2),X3)),file('i/f/update/UPDATE__APPLY__ID', ah4s_combins_UPDATEu_u_APPLYu_u_ID)).
fof(49, axiom,![X1]:![X2]:![X3]:![X5]:s(t_fun(X1,X2),happ(s(t_fun(t_fun(X1,X2),t_fun(X1,X2)),h4s_combins_update(s(X1,X5),s(X2,happ(s(t_fun(X1,X2),X3),s(X1,X5))))),s(t_fun(X1,X2),X3)))=s(t_fun(X1,X2),X3),file('i/f/update/UPDATE__APPLY__ID', ah4s_combins_APPLYu_u_UPDATEu_u_ID)).
# SZS output end CNFRefutation
