# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![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)))))<=>s(t_h4s_realaxs_real,X2)=s(t_h4s_realaxs_real,X1)),file('i/f/real/REAL__LE__ANTISYM', ch4s_reals_REALu_u_LEu_u_ANTISYM)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/real/REAL__LE__ANTISYM', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/real/REAL__LE__ANTISYM', aHLu_FALSITY)).
fof(4, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/real/REAL__LE__ANTISYM', aHLu_BOOLu_CASES)).
fof(14, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/real/REAL__LE__ANTISYM', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(15, axiom,![X1]:![X2]:(s(t_h4s_realaxs_real,X2)=s(t_h4s_realaxs_real,X1)|(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1))))|p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X2)))))),file('i/f/real/REAL__LE__ANTISYM', ah4s_reals_REALu_u_LTu_u_TOTAL)).
fof(16, 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_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X2)))))),file('i/f/real/REAL__LE__ANTISYM', ah4s_reals_realu_u_lte0)).
fof(17, axiom,![X2]:p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X2)))),file('i/f/real/REAL__LE__ANTISYM', ah4s_reals_REALu_u_LEu_u_REFL)).
# SZS output end CNFRefutation
