# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![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_lt(s(t_h4s_extreals_extreal,X1),s(t_h4s_extreals_extreal,X2)))))),file('i/f/extreal/lt__antisym', ch4s_extreals_ltu_u_antisym)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/extreal/lt__antisym', aHLu_FALSITY)).
fof(41, 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__antisym', ah4s_extreals_extrealu_u_ltu_u_def)).
fof(44, 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))))),file('i/f/extreal/lt__antisym', ah4s_extreals_ltu_u_impu_u_le)).
fof(58, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/extreal/lt__antisym', aHLu_BOOLu_CASES)).
fof(81, axiom,p(s(t_bool,t)),file('i/f/extreal/lt__antisym', aHLu_TRUTH)).
# SZS output end CNFRefutation
