# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_ainv(s(t_h4s_extreals_extreal,X2))),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_ainv(s(t_h4s_extreals_extreal,X1)))))=s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,X1),s(t_h4s_extreals_extreal,X2))),file('i/f/extreal/lt__neg', ch4s_extreals_ltu_u_neg)).
fof(2, axiom,![X3]:![X4]:((p(s(t_bool,X4))=>p(s(t_bool,X3)))=>((p(s(t_bool,X3))=>p(s(t_bool,X4)))=>s(t_bool,X4)=s(t_bool,X3))),file('i/f/extreal/lt__neg', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(30, axiom,![X1]:![X2]:s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_ainv(s(t_h4s_extreals_extreal,X2))),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_ainv(s(t_h4s_extreals_extreal,X1)))))=s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X1),s(t_h4s_extreals_extreal,X2))),file('i/f/extreal/lt__neg', ah4s_extreals_leu_u_neg)).
fof(33, axiom,![X1]:![X2]:(p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X1))))<=>~(p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X1),s(t_h4s_extreals_extreal,X2)))))),file('i/f/extreal/lt__neg', ah4s_extreals_extrealu_u_ltu_u_def)).
fof(34, axiom,![X1]:![X2]:(p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X1))))<=>(p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X1))))&~(s(t_h4s_extreals_extreal,X2)=s(t_h4s_extreals_extreal,X1)))),file('i/f/extreal/lt__neg', ah4s_extreals_ltu_u_le)).
fof(35, axiom,![X1]:![X2]:(p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X1))))<=>(p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X1))))|s(t_h4s_extreals_extreal,X2)=s(t_h4s_extreals_extreal,X1))),file('i/f/extreal/lt__neg', ah4s_extreals_leu_u_lt)).
fof(41, axiom,![X2]:~(p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,h4s_extreals_neginf))))),file('i/f/extreal/lt__neg', ah4s_extreals_ltu_u_inftyu_c3)).
fof(42, axiom,p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,h4s_extreals_neginf),s(t_h4s_extreals_extreal,h4s_extreals_posinf)))),file('i/f/extreal/lt__neg', ah4s_extreals_ltu_u_inftyu_c2)).
# SZS output end CNFRefutation
