# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:(s(t_fun(X1,X2),h4s_combins_update(s(X1,X6),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(X2,X5)=s(X2,X4)),file('i/f/combin/UPD11__SAME__KEY__AND__BASE', ch4s_combins_UPD11u_u_SAMEu_u_KEYu_u_ANDu_u_BASE)).
fof(2, axiom,![X2]:![X1]:![X5]:![X6]:![X7]:![X8]:?[X9]:((p(s(t_bool,X9))<=>s(X1,X6)=s(X1,X8))&s(X2,happ(s(t_fun(X1,X2),h4s_combins_update(s(X1,X6),s(X2,X5),s(t_fun(X1,X2),X7))),s(X1,X8)))=s(X2,h4s_bools_cond(s(t_bool,X9),s(X2,X5),s(X2,happ(s(t_fun(X1,X2),X7),s(X1,X8)))))),file('i/f/combin/UPD11__SAME__KEY__AND__BASE', ah4s_combins_UPDATEu_u_def)).
fof(5, axiom,![X1]:![X13]:![X14]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X14),s(X1,X13)))=s(X1,X14),file('i/f/combin/UPD11__SAME__KEY__AND__BASE', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(6, axiom,![X13]:![X14]:((p(s(t_bool,X14))=>p(s(t_bool,X13)))=>((p(s(t_bool,X13))=>p(s(t_bool,X14)))=>s(t_bool,X14)=s(t_bool,X13))),file('i/f/combin/UPD11__SAME__KEY__AND__BASE', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(8, axiom,p(s(t_bool,t)),file('i/f/combin/UPD11__SAME__KEY__AND__BASE', aHLu_TRUTH)).
# SZS output end CNFRefutation
