# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:((~(s(t_h4s_extreals_extreal,X1)=s(t_h4s_extreals_extreal,h4s_extreals_neginf))&~(s(t_h4s_extreals_extreal,X1)=s(t_h4s_extreals_extreal,h4s_extreals_posinf)))=>s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X1)))=s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_sub(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X1))),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))),file('i/f/extreal/sub__le__zero', ch4s_extreals_subu_u_leu_u_zero)).
fof(3, axiom,![X1]:![X2]:s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X1)))=s(t_bool,h4s_extreals_extrealu_u_le(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,X1),s(t_h4s_extreals_extreal,X2))))),file('i/f/extreal/sub__le__zero', ah4s_extreals_subu_u_zerou_u_le)).
fof(4, 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/sub__le__zero', ah4s_extreals_extrealu_u_ltu_u_def)).
fof(8, axiom,![X2]:p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X2)))),file('i/f/extreal/sub__le__zero', ah4s_extreals_leu_u_refl)).
fof(9, 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))))&~(s(t_h4s_extreals_extreal,X2)=s(t_h4s_extreals_extreal,X1)))),file('i/f/extreal/sub__le__zero', ah4s_extreals_ltu_u_le)).
fof(11, axiom,![X1]:![X2]:((~(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))&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,X1),s(t_h4s_extreals_extreal,X2))))))))=>p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X1))))),file('i/f/extreal/sub__le__zero', ah4s_extreals_subu_u_zerou_u_lt2)).
fof(13, 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_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,X1),s(t_h4s_extreals_extreal,X2))))))),file('i/f/extreal/sub__le__zero', ah4s_extreals_subu_u_zerou_u_lt)).
fof(15, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/extreal/sub__le__zero', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(34, 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__le__zero', ah4s_extreals_ltu_u_inftyu_c2)).
fof(37, axiom,![X2]:~(p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,h4s_extreals_neginf))))),file('i/f/extreal/sub__le__zero', ah4s_extreals_ltu_u_inftyu_c3)).
# SZS output end CNFRefutation
