# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X4))),s(t_h4s_realaxs_real,X2))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X1))))),s(t_h4s_realaxs_real,X5)))=s(t_bool,h4s_reals_realu_u_ge(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X4),s(t_h4s_realaxs_real,X2))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X3))),s(t_h4s_realaxs_real,X1))))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X5))))),file('i/f/HolSmt/r167', ch4s_HolSmts_r167)).
fof(7, axiom,![X10]:![X11]:![X12]:((p(s(t_bool,X12))<=>s(t_bool,X11)=s(t_bool,X10))<=>((p(s(t_bool,X12))|(p(s(t_bool,X11))|p(s(t_bool,X10))))&((p(s(t_bool,X12))|(~(p(s(t_bool,X10)))|~(p(s(t_bool,X11)))))&((p(s(t_bool,X11))|(~(p(s(t_bool,X10)))|~(p(s(t_bool,X12)))))&(p(s(t_bool,X10))|(~(p(s(t_bool,X11)))|~(p(s(t_bool,X12))))))))),file('i/f/HolSmt/r167', ah4s_sats_dcu_u_eq)).
fof(11, axiom,![X1]:![X2]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X2))),file('i/f/HolSmt/r167', ah4s_reals_REALu_u_ADDu_u_SYM)).
fof(14, 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)))))<=>s(t_h4s_realaxs_real,X2)=s(t_h4s_realaxs_real,X1)),file('i/f/HolSmt/r167', ah4s_reals_REALu_u_LEu_u_ANTISYM)).
fof(16, axiom,![X1]:![X2]:s(t_bool,h4s_reals_realu_u_ge(s(t_h4s_realaxs_real,X2),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/HolSmt/r167', ah4s_reals_realu_u_ge0)).
fof(19, axiom,![X1]:![X2]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1)))))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(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/HolSmt/r167', ah4s_reals_REALu_u_NEGu_u_ADD)).
fof(20, axiom,![X1]:![X2]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(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_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1))))),file('i/f/HolSmt/r167', ah4s_reals_REALu_u_MULu_u_LNEG)).
fof(22, 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/HolSmt/r167', ah4s_reals_REALu_u_LEu_u_NEG2)).
fof(23, 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/HolSmt/r167', ah4s_reals_REALu_u_NEGu_u_NEG)).
fof(31, axiom,p(s(t_bool,t)),file('i/f/HolSmt/r167', aHLu_TRUTH)).
fof(32, axiom,~(p(s(t_bool,f))),file('i/f/HolSmt/r167', aHLu_FALSITY)).
fof(33, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/HolSmt/r167', aHLu_BOOLu_CASES)).
fof(41, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/HolSmt/r167', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(42, axiom,![X6]:(s(t_bool,X6)=s(t_bool,f)<=>~(p(s(t_bool,X6)))),file('i/f/HolSmt/r167', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(49, axiom,![X1]:![X2]:(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_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X2)))))),file('i/f/HolSmt/r167', ah4s_reals_realu_u_lt)).
# SZS output end CNFRefutation
