# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:s(X2,h4s_combins_update(s(X1,X5),s(X2,X3),s(t_fun(X1,X2),X4),s(X1,X5)))=s(X2,X3),file('i/f/combin/UPDATE__APPLY_c0', ch4s_combins_UPDATEu_u_APPLYu_c0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/combin/UPDATE__APPLY_c0', aHLu_TRUTH)).
fof(6, axiom,![X7]:![X8]:((p(s(t_bool,X8))=>p(s(t_bool,X7)))=>((p(s(t_bool,X7))=>p(s(t_bool,X8)))=>s(t_bool,X8)=s(t_bool,X7))),file('i/f/combin/UPDATE__APPLY_c0', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(11, axiom,![X1]:![X7]:![X8]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X8),s(X1,X7)))=s(X1,X8),file('i/f/combin/UPDATE__APPLY_c0', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(13, axiom,![X2]:![X1]:![X9]:![X5]:![X3]:![X10]:?[X11]:((p(s(t_bool,X11))<=>s(X1,X5)=s(X1,X10))&s(X2,h4s_combins_update(s(X1,X5),s(X2,X9),s(t_fun(X1,X2),X3),s(X1,X10)))=s(X2,h4s_bools_cond(s(t_bool,X11),s(X2,X9),s(X2,happ(s(t_fun(X1,X2),X3),s(X1,X10)))))),file('i/f/combin/UPDATE__APPLY_c0', ah4s_combins_UPDATEu_u_def)).
# SZS output end CNFRefutation
