# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:(~(s(X2,X6)=s(X2,X5))=>s(X1,h4s_combins_update(s(X2,X6),s(X1,X3),s(t_fun(X2,X1),X4),s(X2,X5)))=s(X1,happ(s(t_fun(X2,X1),X4),s(X2,X5)))),file('i/f/combin/UPDATE__APPLY_c1', ch4s_combins_UPDATEu_u_APPLYu_c1)).
fof(3, axiom,![X10]:![X11]:![X5]:![X6]:![X3]:![X12]:?[X13]:((p(s(t_bool,X13))<=>s(X11,X6)=s(X11,X12))&s(X10,h4s_combins_update(s(X11,X6),s(X10,X5),s(t_fun(X11,X10),X3),s(X11,X12)))=s(X10,h4s_bools_cond(s(t_bool,X13),s(X10,X5),s(X10,happ(s(t_fun(X11,X10),X3),s(X11,X12)))))),file('i/f/combin/UPDATE__APPLY_c1', ah4s_combins_UPDATEu_u_def)).
fof(4, axiom,![X11]:![X14]:![X15]:s(X11,h4s_bools_cond(s(t_bool,t),s(X11,X15),s(X11,X14)))=s(X11,X15),file('i/f/combin/UPDATE__APPLY_c1', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(5, axiom,![X11]:![X14]:![X15]:s(X11,h4s_bools_cond(s(t_bool,f0),s(X11,X15),s(X11,X14)))=s(X11,X14),file('i/f/combin/UPDATE__APPLY_c1', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(6, axiom,![X14]:![X15]:((p(s(t_bool,X15))=>p(s(t_bool,X14)))=>((p(s(t_bool,X14))=>p(s(t_bool,X15)))=>s(t_bool,X15)=s(t_bool,X14))),file('i/f/combin/UPDATE__APPLY_c1', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(8, axiom,p(s(t_bool,t)),file('i/f/combin/UPDATE__APPLY_c1', aHLu_TRUTH)).
# SZS output end CNFRefutation
