# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,h4s_reals_max(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2))),s(t_h4s_realaxs_real,X1))))<=>(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X1))))&p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1)))))),file('i/f/real/REAL__MAX__LE', ch4s_reals_REALu_u_MAXu_u_LE)).
fof(2, 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__LE', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(22, axiom,![X3]:p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X3)))),file('i/f/real/REAL__MAX__LE', ah4s_reals_REALu_u_LEu_u_REFL)).
fof(23, axiom,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2))))&p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1)))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X1))))),file('i/f/real/REAL__MAX__LE', ah4s_reals_REALu_u_LEu_u_TRANS)).
fof(24, axiom,![X2]:![X3]:(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2))))|p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X3))))),file('i/f/real/REAL__MAX__LE', ah4s_reals_REALu_u_LEu_u_TOTAL)).
fof(26, axiom,![X2]:![X3]:((p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2))))&p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X3)))))<=>s(t_h4s_realaxs_real,X3)=s(t_h4s_realaxs_real,X2)),file('i/f/real/REAL__MAX__LE', ah4s_reals_REALu_u_LEu_u_ANTISYM)).
fof(27, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,h4s_reals_max(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2))))))<=>(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,X1),s(t_h4s_realaxs_real,X2)))))),file('i/f/real/REAL__MAX__LE', ah4s_reals_REALu_u_LEu_u_MAX)).
fof(28, axiom,![X2]:![X3]:s(t_h4s_realaxs_real,h4s_reals_max(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2)))=s(t_h4s_realaxs_real,h4s_bools_cond(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2))),s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X3))),file('i/f/real/REAL__MAX__LE', ah4s_reals_maxu_u_def)).
fof(29, axiom,![X2]:![X3]:p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,h4s_reals_max(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2)))))),file('i/f/real/REAL__MAX__LE', ah4s_reals_REALu_u_LEu_u_MAX1)).
fof(30, axiom,![X2]:![X3]:p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,h4s_reals_max(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2)))))),file('i/f/real/REAL__MAX__LE', ah4s_reals_REALu_u_LEu_u_MAX2)).
fof(31, axiom,![X3]:s(t_h4s_realaxs_real,h4s_reals_max(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X3)))=s(t_h4s_realaxs_real,X3),file('i/f/real/REAL__MAX__LE', ah4s_reals_REALu_u_MAXu_u_REFL)).
fof(33, axiom,![X16]:![X4]:![X5]:s(X16,h4s_bools_cond(s(t_bool,t),s(X16,X5),s(X16,X4)))=s(X16,X5),file('i/f/real/REAL__MAX__LE', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(34, axiom,![X16]:![X4]:![X5]:s(X16,h4s_bools_cond(s(t_bool,f),s(X16,X5),s(X16,X4)))=s(X16,X4),file('i/f/real/REAL__MAX__LE', ah4s_bools_CONDu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
