# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_realaxs_real,h4s_reals_min(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,h4s_reals_max(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X2))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X1))))))),file('i/f/real/REAL__MIN__MAX', ch4s_reals_REALu_u_MINu_u_MAX)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/real/REAL__MIN__MAX', aHLu_TRUTH)).
fof(5, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/real/REAL__MIN__MAX', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(6, axiom,![X2]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X2)))))=s(t_h4s_realaxs_real,X2),file('i/f/real/REAL__MIN__MAX', ah4s_reals_REALu_u_NEGNEG)).
fof(7, axiom,![X1]:![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,X1),s(t_h4s_realaxs_real,X2))))),file('i/f/real/REAL__MIN__MAX', ah4s_reals_REALu_u_LEu_u_TOTAL)).
fof(8, axiom,![X1]:![X2]:s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X2))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X1)))))=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__MIN__MAX', ah4s_reals_REALu_u_LEu_u_NEG2)).
fof(9, axiom,![X1]:![X2]:(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1))))=>s(t_h4s_realaxs_real,h4s_reals_min(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1)))=s(t_h4s_realaxs_real,X2)),file('i/f/real/REAL__MIN__MAX', ah4s_reals_REALu_u_MINu_u_ALTu_c0)).
fof(10, axiom,![X1]:![X2]:(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X2))))=>s(t_h4s_realaxs_real,h4s_reals_min(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1)))=s(t_h4s_realaxs_real,X1)),file('i/f/real/REAL__MIN__MAX', ah4s_reals_REALu_u_MINu_u_ALTu_c1)).
fof(11, axiom,![X1]:![X2]:(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1))))=>s(t_h4s_realaxs_real,h4s_reals_max(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1)))=s(t_h4s_realaxs_real,X1)),file('i/f/real/REAL__MIN__MAX', ah4s_reals_REALu_u_MAXu_u_ALTu_c0)).
fof(12, axiom,![X1]:![X2]:(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X2))))=>s(t_h4s_realaxs_real,h4s_reals_max(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1)))=s(t_h4s_realaxs_real,X2)),file('i/f/real/REAL__MIN__MAX', ah4s_reals_REALu_u_MAXu_u_ALTu_c1)).
fof(13, axiom,~(p(s(t_bool,f))),file('i/f/real/REAL__MIN__MAX', aHLu_FALSITY)).
fof(14, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/real/REAL__MIN__MAX', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
