# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/extreal/sub__not__infty_c0', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/extreal/sub__not__infty_c0', 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/sub__not__infty_c0', aHLu_BOOLu_CASES)).
fof(8, axiom,![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,h4s_extreals_extrealu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_sub(s(t_h4s_extreals_extreal,X8),s(t_h4s_extreals_extreal,X6))))))))=>p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,X6),s(t_h4s_extreals_extreal,X8))))),file('i/f/extreal/sub__not__infty_c0', ah4s_extreals_subu_u_zerou_u_lt2)).
fof(10, axiom,![X8]:![X6]:((~(s(t_h4s_extreals_extreal,X8)=s(t_h4s_extreals_extreal,h4s_extreals_neginf))&~(s(t_h4s_extreals_extreal,X8)=s(t_h4s_extreals_extreal,h4s_extreals_posinf)))=>s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_add(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_sub(s(t_h4s_extreals_extreal,X6),s(t_h4s_extreals_extreal,X8))),s(t_h4s_extreals_extreal,X8)))=s(t_h4s_extreals_extreal,X6)),file('i/f/extreal/sub__not__infty_c0', ah4s_extreals_subu_u_add)).
fof(13, axiom,![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_h4s_extreals_extreal,X8)=s(t_h4s_extreals_extreal,h4s_extreals_neginf))&~(s(t_h4s_extreals_extreal,X8)=s(t_h4s_extreals_extreal,h4s_extreals_posinf))))=>s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_ainv(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_sub(s(t_h4s_extreals_extreal,X6),s(t_h4s_extreals_extreal,X8)))))=s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_sub(s(t_h4s_extreals_extreal,X8),s(t_h4s_extreals_extreal,X6)))),file('i/f/extreal/sub__not__infty_c0', ah4s_extreals_negu_u_sub)).
fof(24, axiom,s(t_h4s_extreals_extreal,h4s_extreals_neginf)=s(t_h4s_extreals_extreal,h4s_extreals_u_20u_40indu_u_typeextreal0),file('i/f/extreal/sub__not__infty_c0', ah4s_extreals_NegInf0)).
fof(41, axiom,s(t_h4s_extreals_extreal,h4s_extreals_posinf)=s(t_h4s_extreals_extreal,h4s_extreals_u_20u_40indu_u_typeextreal1),file('i/f/extreal/sub__not__infty_c0', ah4s_extreals_PosInf0)).
fof(43, 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/sub__not__infty_c0', ah4s_extreals_Normal0)).
fof(48, axiom,![X1]:(s(t_bool,f)=s(t_bool,X1)<=>~(p(s(t_bool,X1)))),file('i/f/extreal/sub__not__infty_c0', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(52, axiom,![X6]:(~(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,X6),s(t_h4s_extreals_extreal,h4s_extreals_posinf))))),file('i/f/extreal/sub__not__infty_c0', ah4s_extreals_ltu_u_inftyu_c5)).
fof(54, axiom,![X6]:~(p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,X6),s(t_h4s_extreals_extreal,h4s_extreals_neginf))))),file('i/f/extreal/sub__not__infty_c0', ah4s_extreals_ltu_u_inftyu_c3)).
fof(56, axiom,![X8]:p(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,X8))),s(t_h4s_extreals_extreal,h4s_extreals_posinf)))),file('i/f/extreal/sub__not__infty_c0', ah4s_extreals_ltu_u_inftyu_c1)).
fof(57, axiom,![X6]:(~(s(t_h4s_extreals_extreal,X6)=s(t_h4s_extreals_extreal,h4s_extreals_neginf))<=>p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,h4s_extreals_neginf),s(t_h4s_extreals_extreal,X6))))),file('i/f/extreal/sub__not__infty_c0', ah4s_extreals_ltu_u_inftyu_c6)).
fof(58, 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/sub__not__infty_c0', ah4s_extreals_ltu_u_inftyu_c2)).
fof(81, 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/sub__not__infty_c0', ah4s_extreals_subu_u_ltu_u_imp)).
fof(82, 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/sub__not__infty_c0', ah4s_extreals_leu_u_subu_u_imp)).
fof(84, axiom,![X20]:s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_ofu_u_num(s(t_h4s_nums_num,X20)))=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,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X20))))),file('i/f/extreal/sub__not__infty_c0', ah4s_extreals_extrealu_u_ofu_u_numu_u_def)).
fof(97, axiom,s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_ainv(s(t_h4s_extreals_extreal,h4s_extreals_posinf)))=s(t_h4s_extreals_extreal,h4s_extreals_neginf),file('i/f/extreal/sub__not__infty_c0', ah4s_extreals_extrealu_u_ainvu_u_defu_c1)).
fof(98, axiom,s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_ainv(s(t_h4s_extreals_extreal,h4s_extreals_neginf)))=s(t_h4s_extreals_extreal,h4s_extreals_posinf),file('i/f/extreal/sub__not__infty_c0', ah4s_extreals_extrealu_u_ainvu_u_defu_c0)).
fof(103, axiom,![X6]:(p(s(t_bool,h4s_extreals_extrealu_u_le(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_neginf)),file('i/f/extreal/sub__not__infty_c0', ah4s_extreals_leu_u_inftyu_c2)).
fof(104, axiom,![X6]:p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X6),s(t_h4s_extreals_extreal,h4s_extreals_posinf)))),file('i/f/extreal/sub__not__infty_c0', ah4s_extreals_leu_u_inftyu_c1)).
fof(133, conjecture,![X8]:![X6]:((~(s(t_h4s_extreals_extreal,X6)=s(t_h4s_extreals_extreal,h4s_extreals_neginf))&~(s(t_h4s_extreals_extreal,X8)=s(t_h4s_extreals_extreal,h4s_extreals_posinf)))=>~(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_sub(s(t_h4s_extreals_extreal,X6),s(t_h4s_extreals_extreal,X8)))=s(t_h4s_extreals_extreal,h4s_extreals_neginf))),file('i/f/extreal/sub__not__infty_c0', ch4s_extreals_subu_u_notu_u_inftyu_c0)).
# SZS output end CNFRefutation
