# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_realaxs_realu_u_lt(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,X3))))))<=>~(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1))),s(t_h4s_realaxs_real,X3)))))),file('i/f/HolSmt/r186', ch4s_HolSmts_r186)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/HolSmt/r186', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/HolSmt/r186', aHLu_FALSITY)).
fof(5, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/HolSmt/r186', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(19, axiom,![X7]:![X1]:(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X7))))=>~(s(t_h4s_realaxs_real,X1)=s(t_h4s_realaxs_real,X7))),file('i/f/HolSmt/r186', ah4s_reals_REALu_u_LTu_u_IMPu_u_NE)).
fof(25, axiom,![X4]:(s(t_bool,X4)=s(t_bool,f)<=>~(p(s(t_bool,X4)))),file('i/f/HolSmt/r186', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(34, axiom,![X6]:![X7]:![X1]:((p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X7))))&p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X7),s(t_h4s_realaxs_real,X6)))))=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X6))))),file('i/f/HolSmt/r186', ah4s_reals_REALu_u_LTEu_u_TRANS)).
fof(39, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_realaxs_realu_u_lt(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,X3))))<=>~(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(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,X3)))))))),file('i/f/HolSmt/r186', ah4s_HolSmts_r185)).
fof(51, axiom,![X7]:![X1]: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,X1))),s(t_h4s_realaxs_real,X7)))=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,X1),s(t_h4s_realaxs_real,X7))))),file('i/f/HolSmt/r186', ah4s_reals_REALu_u_MULu_u_LNEG)).
fof(56, 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/HolSmt/r186', ah4s_reals_REALu_u_NEGu_u_NEG)).
fof(57, axiom,![X7]:![X1]:s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X1))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X7)))))=s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X7),s(t_h4s_realaxs_real,X1))),file('i/f/HolSmt/r186', ah4s_reals_REALu_u_LEu_u_NEG2)).
fof(80, axiom,![X7]:![X1]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X7)))))=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,X1),s(t_h4s_realaxs_real,X7))))),file('i/f/HolSmt/r186', ah4s_reals_REALu_u_MULu_u_RNEG)).
# SZS output end CNFRefutation
