# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:((p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X4),s(t_h4s_realaxs_real,X2))))&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,h4s_reals_min(s(t_h4s_realaxs_real,X4),s(t_h4s_realaxs_real,X3))),s(t_h4s_realaxs_real,h4s_reals_min(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1))))))),file('i/f/real/REAL__IMP__MIN__LE2', ch4s_reals_REALu_u_IMPu_u_MINu_u_LE2)).
fof(3, axiom,![X6]:![X7]:((p(s(t_bool,X7))=>p(s(t_bool,X6)))=>((p(s(t_bool,X6))=>p(s(t_bool,X7)))=>s(t_bool,X7)=s(t_bool,X6))),file('i/f/real/REAL__IMP__MIN__LE2', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(12, axiom,![X14]:![X5]:(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,X14))))<=>~(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X14),s(t_h4s_realaxs_real,X5)))))),file('i/f/real/REAL__IMP__MIN__LE2', ah4s_reals_realu_u_lte0)).
fof(19, axiom,![X14]:![X5]:(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,X14))))|p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X14),s(t_h4s_realaxs_real,X5))))),file('i/f/real/REAL__IMP__MIN__LE2', ah4s_reals_REALu_u_LEu_u_TOTAL)).
fof(46, axiom,![X16]:![X14]:![X5]:(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,h4s_reals_min(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,X14))),s(t_h4s_realaxs_real,X16))))<=>(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,X16))))|p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X14),s(t_h4s_realaxs_real,X16)))))),file('i/f/real/REAL__IMP__MIN__LE2', ah4s_reals_REALu_u_MINu_u_LE)).
fof(47, axiom,![X14]:![X5]:(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X14),s(t_h4s_realaxs_real,X5))))=>s(t_h4s_realaxs_real,h4s_reals_min(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,X14)))=s(t_h4s_realaxs_real,X14)),file('i/f/real/REAL__IMP__MIN__LE2', ah4s_reals_REALu_u_MINu_u_ALTu_c1)).
fof(48, axiom,![X14]:![X5]:(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,X14))))=>s(t_h4s_realaxs_real,h4s_reals_min(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,X14)))=s(t_h4s_realaxs_real,X5)),file('i/f/real/REAL__IMP__MIN__LE2', ah4s_reals_REALu_u_MINu_u_ALTu_c0)).
# SZS output end CNFRefutation
