# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:![X7]:(s(t_fun(X1,X2),h4s_combins_update(s(X1,X7),s(X2,X6),s(t_fun(X1,X2),X4)))=s(t_fun(X1,X2),h4s_combins_update(s(X1,X7),s(X2,X5),s(t_fun(X1,X2),X3)))=>(s(X2,X6)=s(X2,X5)&![X8]:s(t_fun(X1,X2),h4s_combins_update(s(X1,X7),s(X2,X8),s(t_fun(X1,X2),X4)))=s(t_fun(X1,X2),h4s_combins_update(s(X1,X7),s(X2,X8),s(t_fun(X1,X2),X3))))),file('i/f/combin/UPD__SAME__KEY__UNWIND', ch4s_combins_UPDu_u_SAMEu_u_KEYu_u_UNWIND)).
fof(38, axiom,![X1]:![X2]:![X11]:![X5]:![X6]:![X7]:s(t_fun(X1,X2),h4s_combins_update(s(X1,X7),s(X2,X5),s(t_fun(X1,X2),h4s_combins_update(s(X1,X7),s(X2,X6),s(t_fun(X1,X2),X11)))))=s(t_fun(X1,X2),h4s_combins_update(s(X1,X7),s(X2,X5),s(t_fun(X1,X2),X11))),file('i/f/combin/UPD__SAME__KEY__UNWIND', ah4s_combins_UPDATEu_u_EQ)).
fof(43, axiom,![X1]:![X2]:![X13]:![X11]:![X7]:s(X2,happ(s(t_fun(X1,X2),h4s_combins_update(s(X1,X7),s(X2,X13),s(t_fun(X1,X2),X11))),s(X1,X7)))=s(X2,X13),file('i/f/combin/UPD__SAME__KEY__UNWIND', ah4s_combins_UPDATEu_u_APPLYu_c0)).
# SZS output end CNFRefutation
