# 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,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)))<=>((s(X1,X7)=s(X1,X6)&s(X2,X5)=s(X2,X4))|(~(s(X1,X7)=s(X1,X6))&(s(t_fun(X1,X2),h4s_combins_update(s(X1,X7),s(X2,X5),s(t_fun(X1,X2),X3)))=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)))=s(t_fun(X1,X2),X3))))),file('i/f/combin/UPD11__SAME__BASE', ch4s_combins_UPD11u_u_SAMEu_u_BASE)).
fof(44, axiom,![X1]:![X2]:![X3]:![X6]:![X7]:(s(X2,happ(s(t_fun(X1,X2),X3),s(X1,X7)))=s(X2,X6)<=>s(t_fun(X1,X2),h4s_combins_update(s(X1,X7),s(X2,X6),s(t_fun(X1,X2),X3)))=s(t_fun(X1,X2),X3)),file('i/f/combin/UPD11__SAME__BASE', ah4s_combins_UPDATEu_u_APPLYu_u_ID)).
fof(48, axiom,![X1]:![X2]:![X11]:![X3]:![X7]:s(X2,happ(s(t_fun(X1,X2),h4s_combins_update(s(X1,X7),s(X2,X11),s(t_fun(X1,X2),X3))),s(X1,X7)))=s(X2,X11),file('i/f/combin/UPD11__SAME__BASE', ah4s_combins_UPDATEu_u_APPLYu_c0)).
fof(49, axiom,![X1]:![X2]:![X3]:![X7]:s(t_fun(X1,X2),h4s_combins_update(s(X1,X7),s(X2,happ(s(t_fun(X1,X2),X3),s(X1,X7))),s(t_fun(X1,X2),X3)))=s(t_fun(X1,X2),X3),file('i/f/combin/UPD11__SAME__BASE', ah4s_combins_APPLYu_u_UPDATEu_u_ID)).
fof(50, axiom,![X30]:![X31]:![X11]:![X3]:![X6]:![X7]:(~(s(X31,X7)=s(X31,X6))=>s(X30,happ(s(t_fun(X31,X30),h4s_combins_update(s(X31,X7),s(X30,X11),s(t_fun(X31,X30),X3))),s(X31,X6)))=s(X30,happ(s(t_fun(X31,X30),X3),s(X31,X6)))),file('i/f/combin/UPD11__SAME__BASE', ah4s_combins_UPDATEu_u_APPLYu_c1)).
# SZS output end CNFRefutation
