# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:((p(s(t_bool,happ(s(t_fun(t_h4s_extreals_extreal,t_bool),X2),s(t_h4s_extreals_extreal,X1))))&![X3]:(p(s(t_bool,happ(s(t_fun(t_h4s_extreals_extreal,t_bool),X2),s(t_h4s_extreals_extreal,X3))))=>p(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,h4s_extreals_extrealu_u_inf(s(t_fun(t_h4s_extreals_extreal,t_bool),X2)))=s(t_h4s_extreals_extreal,X1)),file('i/f/extreal/inf__min', ch4s_extreals_infu_u_min)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/extreal/inf__min', aHLu_TRUTH)).
fof(9, axiom,![X9]:(s(t_bool,X9)=s(t_bool,t)<=>p(s(t_bool,X9))),file('i/f/extreal/inf__min', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(12, axiom,![X3]:![X2]:(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_inf(s(t_fun(t_h4s_extreals_extreal,t_bool),X2)))=s(t_h4s_extreals_extreal,X3)<=>(![X10]:(p(s(t_bool,happ(s(t_fun(t_h4s_extreals_extreal,t_bool),X2),s(t_h4s_extreals_extreal,X10))))=>p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X10)))))&![X10]:(![X1]:(p(s(t_bool,happ(s(t_fun(t_h4s_extreals_extreal,t_bool),X2),s(t_h4s_extreals_extreal,X1))))=>p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X10),s(t_h4s_extreals_extreal,X1)))))=>p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X10),s(t_h4s_extreals_extreal,X3))))))),file('i/f/extreal/inf__min', ah4s_extreals_infu_u_eq)).
fof(13, axiom,![X9]:(s(t_bool,X9)=s(t_bool,t)|s(t_bool,X9)=s(t_bool,f)),file('i/f/extreal/inf__min', aHLu_BOOLu_CASES)).
fof(14, axiom,~(p(s(t_bool,f))),file('i/f/extreal/inf__min', aHLu_FALSITY)).
# SZS output end CNFRefutation
