# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_min(s(t_h4s_extreals_extreal,X1),s(t_h4s_extreals_extreal,h4s_extreals_posinf)))=s(t_h4s_extreals_extreal,X1),file('i/f/extreal/min__infty_c0', ch4s_extreals_minu_u_inftyu_c0)).
fof(31, axiom,![X1]:p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X1),s(t_h4s_extreals_extreal,X1)))),file('i/f/extreal/min__infty_c0', ah4s_extreals_leu_u_refl)).
fof(32, axiom,![X7]:![X1]:((p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X1),s(t_h4s_extreals_extreal,X7))))&p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X7),s(t_h4s_extreals_extreal,X1)))))<=>s(t_h4s_extreals_extreal,X1)=s(t_h4s_extreals_extreal,X7)),file('i/f/extreal/min__infty_c0', ah4s_extreals_leu_u_antisym)).
fof(37, axiom,![X1]:~(p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,h4s_extreals_posinf),s(t_h4s_extreals_extreal,X1))))),file('i/f/extreal/min__infty_c0', ah4s_extreals_ltu_u_inftyu_c4)).
fof(40, axiom,![X7]:![X1]:(p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,X1),s(t_h4s_extreals_extreal,X7))))<=>~(p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X7),s(t_h4s_extreals_extreal,X1)))))),file('i/f/extreal/min__infty_c0', ah4s_extreals_extrealu_u_ltu_u_def)).
fof(45, axiom,![X22]:![X7]:![X1]:(p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X22),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_min(s(t_h4s_extreals_extreal,X1),s(t_h4s_extreals_extreal,X7))))))<=>(p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X22),s(t_h4s_extreals_extreal,X1))))&p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X22),s(t_h4s_extreals_extreal,X7)))))),file('i/f/extreal/min__infty_c0', ah4s_extreals_leu_u_min)).
fof(48, axiom,![X7]:![X1]:p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_min(s(t_h4s_extreals_extreal,X1),s(t_h4s_extreals_extreal,X7))),s(t_h4s_extreals_extreal,X1)))),file('i/f/extreal/min__infty_c0', ah4s_extreals_minu_u_le1)).
fof(63, axiom,~(p(s(t_bool,f))),file('i/f/extreal/min__infty_c0', aHLu_FALSITY)).
fof(73, axiom,![X10]:(s(t_bool,f)=s(t_bool,X10)<=>~(p(s(t_bool,X10)))),file('i/f/extreal/min__infty_c0', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(76, axiom,p(s(t_bool,t)),file('i/f/extreal/min__infty_c0', aHLu_TRUTH)).
fof(79, axiom,![X10]:(s(t_bool,X10)=s(t_bool,t)<=>p(s(t_bool,X10))),file('i/f/extreal/min__infty_c0', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
