# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]: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,X1))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X2)))))))=s(t_bool,f),file('i/f/real/lt__int_c2', ch4s_reals_ltu_u_intu_c2)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/real/lt__int_c2', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/real/lt__int_c2', 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/lt__int_c2', aHLu_BOOLu_CASES)).
fof(8, axiom,![X3]:(s(t_bool,f)=s(t_bool,X3)<=>~(p(s(t_bool,X3)))),file('i/f/real/lt__int_c2', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(9, axiom,![X7]:![X5]:![X6]:((p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X5))))&p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,X7)))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X7))))),file('i/f/real/lt__int_c2', ah4s_reals_REALu_u_LEu_u_TRANS)).
fof(10, axiom,![X5]:![X6]:(~(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X5)))))<=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,X6))))),file('i/f/real/lt__int_c2', ah4s_reals_REALu_u_NOTu_u_LT)).
fof(11, axiom,![X6]:s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X6))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_bool,h4s_reals_realu_u_lte(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,X6))),file('i/f/real/lt__int_c2', ah4s_reals_REALu_u_NEGu_u_LE0)).
fof(12, axiom,![X1]:p(s(t_bool,h4s_reals_realu_u_lte(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_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X1)))))),file('i/f/real/lt__int_c2', ah4s_reals_REALu_u_POS)).
# SZS output end CNFRefutation
