# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/extreal/le__sub__eq', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/extreal/le__sub__eq', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/extreal/le__sub__eq', aHLu_BOOLu_CASES)).
fof(5, axiom,![X7]:![X8]:![X6]:(p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_add(s(t_h4s_extreals_extreal,X8),s(t_h4s_extreals_extreal,X6))),s(t_h4s_extreals_extreal,X7))))=>p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X8),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_sub(s(t_h4s_extreals_extreal,X7),s(t_h4s_extreals_extreal,X6))))))),file('i/f/extreal/le__sub__eq', ah4s_extreals_leu_u_subu_u_imp)).
fof(16, axiom,s(t_fun(t_h4s_realaxs_real,t_h4s_extreals_extreal),h4s_extreals_normal)=s(t_fun(t_h4s_realaxs_real,t_h4s_extreals_extreal),h4s_extreals_u_20u_40indu_u_typeextreal2),file('i/f/extreal/le__sub__eq', ah4s_extreals_Normal0)).
fof(27, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/extreal/le__sub__eq', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(41, axiom,![X7]:![X8]:![X6]:((~(s(t_h4s_extreals_extreal,X6)=s(t_h4s_extreals_extreal,h4s_extreals_neginf))&(~(s(t_h4s_extreals_extreal,X6)=s(t_h4s_extreals_extreal,h4s_extreals_posinf))&p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,X8),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_add(s(t_h4s_extreals_extreal,X7),s(t_h4s_extreals_extreal,X6))))))))=>p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_sub(s(t_h4s_extreals_extreal,X8),s(t_h4s_extreals_extreal,X6))),s(t_h4s_extreals_extreal,X7))))),file('i/f/extreal/le__sub__eq', ah4s_extreals_subu_u_ltu_u_imp)).
fof(55, axiom,![X1]:(s(t_bool,f)=s(t_bool,X1)<=>~(p(s(t_bool,X1)))),file('i/f/extreal/le__sub__eq', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(87, axiom,![X8]:![X6]:(p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,X6),s(t_h4s_extreals_extreal,X8))))<=>~(p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X8),s(t_h4s_extreals_extreal,X6)))))),file('i/f/extreal/le__sub__eq', ah4s_extreals_extrealu_u_ltu_u_def)).
fof(98, axiom,![X8]:![X6]:s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_extreals_extreal),h4s_extreals_normal),s(t_h4s_realaxs_real,X6))),s(t_h4s_extreals_extreal,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_extreals_extreal),h4s_extreals_normal),s(t_h4s_realaxs_real,X8)))))=s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X8))),file('i/f/extreal/le__sub__eq', ah4s_extreals_extrealu_u_ltu_u_eq)).
fof(109, axiom,![X6]:p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X6),s(t_h4s_extreals_extreal,X6)))),file('i/f/extreal/le__sub__eq', ah4s_extreals_leu_u_refl)).
fof(133, conjecture,![X7]:![X8]:![X6]:((~(s(t_h4s_extreals_extreal,X6)=s(t_h4s_extreals_extreal,h4s_extreals_neginf))&~(s(t_h4s_extreals_extreal,X6)=s(t_h4s_extreals_extreal,h4s_extreals_posinf)))=>s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X8),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_sub(s(t_h4s_extreals_extreal,X7),s(t_h4s_extreals_extreal,X6)))))=s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_add(s(t_h4s_extreals_extreal,X8),s(t_h4s_extreals_extreal,X6))),s(t_h4s_extreals_extreal,X7)))),file('i/f/extreal/le__sub__eq', ch4s_extreals_leu_u_subu_u_eq)).
# SZS output end CNFRefutation
