# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_realaxs_real,h4s_reals_max(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X1)))=s(t_h4s_realaxs_real,X1),file('i/f/real/REAL__MAX__REFL', ch4s_reals_REALu_u_MAXu_u_REFL)).
fof(3, axiom,![X3]:![X1]:s(t_h4s_realaxs_real,h4s_reals_max(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X3)))=s(t_h4s_realaxs_real,h4s_bools_cond(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X3))),s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X1))),file('i/f/real/REAL__MAX__REFL', ah4s_reals_maxu_u_def)).
fof(4, axiom,![X2]:![X4]:![X5]:s(X2,h4s_bools_cond(s(t_bool,t),s(X2,X5),s(X2,X4)))=s(X2,X5),file('i/f/real/REAL__MAX__REFL', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(5, axiom,![X2]:![X4]:![X5]:s(X2,h4s_bools_cond(s(t_bool,f),s(X2,X5),s(X2,X4)))=s(X2,X4),file('i/f/real/REAL__MAX__REFL', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(8, axiom,![X3]:![X1]:((p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X3))))&p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X1)))))<=>s(t_h4s_realaxs_real,X1)=s(t_h4s_realaxs_real,X3)),file('i/f/real/REAL__MAX__REFL', ah4s_reals_REALu_u_LEu_u_ANTISYM)).
fof(10, axiom,![X4]:![X5]:((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>s(t_bool,X5)=s(t_bool,X4))),file('i/f/real/REAL__MAX__REFL', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
# SZS output end CNFRefutation
