# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_min(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X1))),s(t_h4s_extreals_extreal,X1)))),file('i/f/extreal/min__le2', ch4s_extreals_minu_u_le2)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/extreal/min__le2', aHLu_FALSITY)).
fof(3, axiom,![X3]:![X4]:((p(s(t_bool,X4))=>p(s(t_bool,X3)))=>((p(s(t_bool,X3))=>p(s(t_bool,X4)))=>s(t_bool,X4)=s(t_bool,X3))),file('i/f/extreal/min__le2', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(18, 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/min__le2', ah4s_extreals_leu_u_refl)).
fof(31, axiom,![X5]:(s(t_bool,f)=s(t_bool,X5)<=>~(p(s(t_bool,X5)))),file('i/f/extreal/min__le2', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(40, axiom,![X14]:![X1]:![X2]:(p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_min(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X1))),s(t_h4s_extreals_extreal,X14))))<=>(p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X14))))|p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X1),s(t_h4s_extreals_extreal,X14)))))),file('i/f/extreal/min__le2', ah4s_extreals_minu_u_le)).
fof(57, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/extreal/min__le2', aHLu_BOOLu_CASES)).
fof(59, axiom,(~(p(s(t_bool,t)))<=>p(s(t_bool,f))),file('i/f/extreal/min__le2', ah4s_bools_NOTu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
