# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(s(t_h4s_realaxs_real,X1)=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))|(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_realaxs_real,X1))))|p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X1)))))))),file('i/f/real/REAL__LT__NEGTOTAL', ch4s_reals_REALu_u_LTu_u_NEGTOTAL)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/real/REAL__LT__NEGTOTAL', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/real/REAL__LT__NEGTOTAL', aHLu_FALSITY)).
fof(9, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)<=>p(s(t_bool,X2))),file('i/f/real/REAL__LT__NEGTOTAL', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(10, axiom,![X4]:![X1]:(s(t_h4s_realaxs_real,X1)=s(t_h4s_realaxs_real,X4)|(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X4))))|p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X4),s(t_h4s_realaxs_real,X1)))))),file('i/f/real/REAL__LT__NEGTOTAL', ah4s_reals_REALu_u_LTu_u_TOTAL)).
fof(11, axiom,![X1]: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,X1)))))=s(t_h4s_realaxs_real,X1),file('i/f/real/REAL__LT__NEGTOTAL', ah4s_reals_REALu_u_NEGNEG)).
fof(12, axiom,![X1]:s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X1))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_realaxs_real,X1))),file('i/f/real/REAL__LT__NEGTOTAL', ah4s_reals_REALu_u_NEGu_u_LT0)).
fof(13, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)|s(t_bool,X2)=s(t_bool,f)),file('i/f/real/REAL__LT__NEGTOTAL', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
