# 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_extrealu_u_sub(s(t_h4s_extreals_extreal,X2),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,X1)))))<=>s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_add(s(t_h4s_extreals_extreal,X3),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,X1)))))=s(t_h4s_extreals_extreal,X2)),file('i/f/extreal/eq__sub__ladd__normal', ch4s_extreals_equ_u_subu_u_laddu_u_normal)).
fof(25, axiom,![X21]:s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_sub(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,X21))),s(t_h4s_extreals_extreal,h4s_extreals_neginf)))=s(t_h4s_extreals_extreal,h4s_extreals_posinf),file('i/f/extreal/eq__sub__ladd__normal', ah4s_extreals_extrealu_u_subu_u_defu_c6)).
fof(27, axiom,![X23]:s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_sub(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,X23))),s(t_h4s_extreals_extreal,h4s_extreals_posinf)))=s(t_h4s_extreals_extreal,h4s_extreals_neginf),file('i/f/extreal/eq__sub__ladd__normal', ah4s_extreals_extrealu_u_subu_u_defu_c3)).
fof(28, axiom,![X2]:![X3]:s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_sub(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,X3))),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,X2)))))=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_sub(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2))))),file('i/f/extreal/eq__sub__ladd__normal', ah4s_extreals_extrealu_u_subu_u_defu_c0)).
fof(29, axiom,![X2]:![X3]:s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_add(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,X3))),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,X2)))))=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_realaxs_realu_u_add(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2))))),file('i/f/extreal/eq__sub__ladd__normal', ah4s_extreals_extrealu_u_addu_u_defu_c0)).
fof(30, axiom,![X23]:s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_add(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,X23))),s(t_h4s_extreals_extreal,h4s_extreals_posinf)))=s(t_h4s_extreals_extreal,h4s_extreals_posinf),file('i/f/extreal/eq__sub__ladd__normal', ah4s_extreals_extrealu_u_addu_u_defu_c3)).
fof(31, axiom,![X22]:s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_add(s(t_h4s_extreals_extreal,h4s_extreals_neginf),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,X22)))))=s(t_h4s_extreals_extreal,h4s_extreals_neginf),file('i/f/extreal/eq__sub__ladd__normal', ah4s_extreals_extrealu_u_addu_u_defu_c5)).
fof(33, axiom,![X2]:![X3]:((~(s(t_h4s_extreals_extreal,X2)=s(t_h4s_extreals_extreal,h4s_extreals_neginf))&~(s(t_h4s_extreals_extreal,X2)=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,X3),s(t_h4s_extreals_extreal,X2))),s(t_h4s_extreals_extreal,X2)))=s(t_h4s_extreals_extreal,X3)),file('i/f/extreal/eq__sub__ladd__normal', ah4s_extreals_subu_u_add)).
fof(36, axiom,![X2]:![X3]:((~(s(t_h4s_extreals_extreal,X2)=s(t_h4s_extreals_extreal,h4s_extreals_neginf))&~(s(t_h4s_extreals_extreal,X2)=s(t_h4s_extreals_extreal,h4s_extreals_posinf)))=>s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_sub(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_add(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X2))),s(t_h4s_extreals_extreal,X2)))=s(t_h4s_extreals_extreal,X3)),file('i/f/extreal/eq__sub__ladd__normal', ah4s_extreals_addu_u_sub)).
fof(37, axiom,![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)|?[X15]:s(t_h4s_extreals_extreal,X3)=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,X15))))),file('i/f/extreal/eq__sub__ladd__normal', ah4s_extreals_extrealu_u_cases)).
fof(58, axiom,![X2]:![X3]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2)))))=s(t_h4s_realaxs_real,X3),file('i/f/extreal/eq__sub__ladd__normal', ah4s_reals_REALu_u_SUBu_u_ADD2)).
fof(59, axiom,![X2]:![X3]:s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2))),s(t_h4s_realaxs_real,X2)))=s(t_h4s_realaxs_real,X3),file('i/f/extreal/eq__sub__ladd__normal', ah4s_reals_REALu_u_ADDu_u_SUBu_u_ALT)).
# SZS output end CNFRefutation
