# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:((~(s(t_h4s_extreals_extreal,X3)=s(t_h4s_extreals_extreal,h4s_extreals_neginf))&~(s(t_h4s_extreals_extreal,X3)=s(t_h4s_extreals_extreal,h4s_extreals_posinf)))=>s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_add(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X3))),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_add(s(t_h4s_extreals_extreal,X1),s(t_h4s_extreals_extreal,X3)))))=s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X1)))),file('i/f/extreal/lt__radd', ch4s_extreals_ltu_u_radd)).
fof(2, axiom,![X4]:![X5]:((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>s(t_bool,X5)=s(t_bool,X4))),file('i/f/extreal/lt__radd', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(23, axiom,![X2]:![X3]:(p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X2))))<=>~(p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X3)))))),file('i/f/extreal/lt__radd', ah4s_extreals_extrealu_u_ltu_u_def)).
fof(25, axiom,![X2]:![X3]:(p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X2))))<=>(p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X2))))&~(s(t_h4s_extreals_extreal,X3)=s(t_h4s_extreals_extreal,X2)))),file('i/f/extreal/lt__radd', ah4s_extreals_ltu_u_le)).
fof(28, axiom,![X2]:![X3]:(p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X2))))<=>(p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X2))))|s(t_h4s_extreals_extreal,X3)=s(t_h4s_extreals_extreal,X2))),file('i/f/extreal/lt__radd', ah4s_extreals_leu_u_lt)).
fof(29, axiom,![X2]:![X3]:(s(t_h4s_extreals_extreal,X3)=s(t_h4s_extreals_extreal,X2)|(p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X2))))|p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X3)))))),file('i/f/extreal/lt__radd', ah4s_extreals_ltu_u_total)).
fof(39, axiom,![X1]:![X2]:![X3]:((~(s(t_h4s_extreals_extreal,X3)=s(t_h4s_extreals_extreal,h4s_extreals_neginf))&~(s(t_h4s_extreals_extreal,X3)=s(t_h4s_extreals_extreal,h4s_extreals_posinf)))=>s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_add(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X3))),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_add(s(t_h4s_extreals_extreal,X1),s(t_h4s_extreals_extreal,X3)))))=s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X1)))),file('i/f/extreal/lt__radd', ah4s_extreals_leu_u_radd)).
fof(43, 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__radd', ah4s_extreals_ltu_u_inftyu_c2)).
fof(46, axiom,![X3]:~(p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,h4s_extreals_neginf))))),file('i/f/extreal/lt__radd', ah4s_extreals_ltu_u_inftyu_c3)).
fof(49, axiom,![X3]:p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X3)))),file('i/f/extreal/lt__radd', ah4s_extreals_leu_u_refl)).
# SZS output end CNFRefutation
