# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_extreals_extrealu_u_le(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,h4s_extreals_extrealu_u_add(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X2))),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_add(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X1))))))),file('i/f/extreal/le__ladd__imp', ch4s_extreals_leu_u_laddu_u_imp)).
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/le__ladd__imp', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(6, 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/le__ladd__imp', ah4s_extreals_leu_u_refl)).
fof(7, 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/le__ladd__imp', ah4s_extreals_extrealu_u_ltu_u_def)).
fof(16, 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/le__ladd__imp', ah4s_extreals_ltu_u_le)).
fof(30, axiom,![X3]:(p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,h4s_extreals_posinf),s(t_h4s_extreals_extreal,X3))))<=>s(t_h4s_extreals_extreal,X3)=s(t_h4s_extreals_extreal,h4s_extreals_posinf)),file('i/f/extreal/le__ladd__imp', ah4s_extreals_leu_u_inftyu_c3)).
fof(37, 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,X3),s(t_h4s_extreals_extreal,X2))),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_add(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X1)))))=s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X1)))),file('i/f/extreal/le__ladd__imp', ah4s_extreals_leu_u_ladd)).
fof(40, axiom,![X1]:![X2]:![X3]:![X14]:((p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X14),s(t_h4s_extreals_extreal,X3))))&p(s(t_bool,h4s_extreals_extrealu_u_le(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,h4s_extreals_extrealu_u_add(s(t_h4s_extreals_extreal,X14),s(t_h4s_extreals_extreal,X2))),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_add(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X1))))))),file('i/f/extreal/le__ladd__imp', ah4s_extreals_leu_u_add2)).
fof(51, axiom,![X15]:s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_add(s(t_h4s_extreals_extreal,h4s_extreals_posinf),s(t_h4s_extreals_extreal,X15)))=s(t_h4s_extreals_extreal,h4s_extreals_posinf),file('i/f/extreal/le__ladd__imp', ah4s_extreals_extrealu_u_addu_u_defu_c1)).
fof(54, 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/le__ladd__imp', ah4s_extreals_ltu_u_inftyu_c2)).
fof(55, 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/le__ladd__imp', ah4s_extreals_ltu_u_inftyu_c3)).
fof(61, 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/le__ladd__imp', ah4s_extreals_extrealu_u_ainvu_u_defu_c1)).
# SZS output end CNFRefutation
