# 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(6, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/extreal/min__infty_c0', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(9, axiom,![X2]:![X6]:![X7]:s(X2,h4s_bools_cond(s(t_bool,t),s(X2,X7),s(X2,X6)))=s(X2,X7),file('i/f/extreal/min__infty_c0', ah4s_bools_boolu_u_caseu_u_thmu_c0)).
fof(10, axiom,![X1]:p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X1),s(t_h4s_extreals_extreal,h4s_extreals_posinf)))),file('i/f/extreal/min__infty_c0', ah4s_extreals_leu_u_inftyu_c1)).
fof(11, axiom,![X3]:![X1]:s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_min(s(t_h4s_extreals_extreal,X1),s(t_h4s_extreals_extreal,X3)))=s(t_h4s_extreals_extreal,h4s_bools_cond(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X1),s(t_h4s_extreals_extreal,X3))),s(t_h4s_extreals_extreal,X1),s(t_h4s_extreals_extreal,X3))),file('i/f/extreal/min__infty_c0', ah4s_extreals_extrealu_u_minu_u_def)).
# SZS output end CNFRefutation
