# 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,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_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_nums_0)&s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_nums_0))),file('i/f/real/le__int_c2', ch4s_reals_leu_u_intu_c2)).
fof(3, axiom,![X1]:![X2]:(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X2)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X1)))<=>s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,X1)),file('i/f/real/le__int_c2', ah4s_reals_REALu_u_INJ)).
fof(29, axiom,![X1]:![X2]:(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_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_nums_0)&s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_nums_0))),file('i/f/real/le__int_c2', ah4s_reals_equ_u_intsu_c2)).
fof(34, axiom,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,h4s_nums_0)))))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/real/le__int_c2', ah4s_reals_REALu_u_NEGu_u_0)).
fof(45, 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,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X1))))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X2)))))=s(t_bool,t),file('i/f/real/le__int_c2', ah4s_reals_leu_u_intu_c1)).
fof(49, axiom,![X1]:![X2]: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,X2))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X1)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))),file('i/f/real/le__int_c2', ah4s_reals_REALu_u_LE)).
fof(53, axiom,p(s(t_bool,t)),file('i/f/real/le__int_c2', aHLu_TRUTH)).
fof(54, axiom,~(p(s(t_bool,f))),file('i/f/real/le__int_c2', aHLu_FALSITY)).
fof(66, axiom,![X9]:((p(s(t_bool,X9))=>p(s(t_bool,f)))<=>s(t_bool,X9)=s(t_bool,f)),file('i/f/real/le__int_c2', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(72, axiom,![X4]:![X5]:((p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,X4))))&p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X4),s(t_h4s_realaxs_real,X5)))))<=>s(t_h4s_realaxs_real,X5)=s(t_h4s_realaxs_real,X4)),file('i/f/real/le__int_c2', ah4s_reals_REALu_u_LEu_u_ANTISYM)).
fof(81, axiom,![X4]:![X5]:(~(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X5),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,X5))))),file('i/f/real/le__int_c2', ah4s_reals_REALu_u_NOTu_u_LE)).
# SZS output end CNFRefutation
