# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/extreal/max__le', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/extreal/max__le', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/extreal/max__le', aHLu_BOOLu_CASES)).
fof(6, axiom,![X7]:![X8]:((p(s(t_bool,X8))=>p(s(t_bool,X7)))=>((p(s(t_bool,X7))=>p(s(t_bool,X8)))=>s(t_bool,X8)=s(t_bool,X7))),file('i/f/extreal/max__le', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(14, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/extreal/max__le', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(15, axiom,![X9]:![X7]:![X8]:s(X9,h4s_bools_cond(s(t_bool,t),s(X9,X8),s(X9,X7)))=s(X9,X8),file('i/f/extreal/max__le', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(16, axiom,![X9]:![X7]:![X8]:s(X9,h4s_bools_cond(s(t_bool,f),s(X9,X8),s(X9,X7)))=s(X9,X7),file('i/f/extreal/max__le', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(25, axiom,![X14]:![X15]:![X16]:((p(s(t_bool,X16))<=>s(t_bool,X15)=s(t_bool,X14))<=>((p(s(t_bool,X16))|(p(s(t_bool,X15))|p(s(t_bool,X14))))&((p(s(t_bool,X16))|(~(p(s(t_bool,X14)))|~(p(s(t_bool,X15)))))&((p(s(t_bool,X15))|(~(p(s(t_bool,X14)))|~(p(s(t_bool,X16)))))&(p(s(t_bool,X14))|(~(p(s(t_bool,X15)))|~(p(s(t_bool,X16))))))))),file('i/f/extreal/max__le', ah4s_sats_dcu_u_eq)).
fof(30, axiom,![X17]:![X10]:![X6]:((p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X6),s(t_h4s_extreals_extreal,X10))))&p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X10),s(t_h4s_extreals_extreal,X17)))))=>p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X6),s(t_h4s_extreals_extreal,X17))))),file('i/f/extreal/max__le', ah4s_extreals_leu_u_trans)).
fof(31, axiom,![X10]:![X6]:(p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X6),s(t_h4s_extreals_extreal,X10))))|p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X10),s(t_h4s_extreals_extreal,X6))))),file('i/f/extreal/max__le', ah4s_extreals_leu_u_total)).
fof(32, axiom,![X10]:![X6]:s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_max(s(t_h4s_extreals_extreal,X6),s(t_h4s_extreals_extreal,X10)))=s(t_h4s_extreals_extreal,h4s_bools_cond(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X6),s(t_h4s_extreals_extreal,X10))),s(t_h4s_extreals_extreal,X10),s(t_h4s_extreals_extreal,X6))),file('i/f/extreal/max__le', ah4s_extreals_extrealu_u_maxu_u_def)).
fof(33, conjecture,![X17]:![X10]:![X6]:(p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_max(s(t_h4s_extreals_extreal,X6),s(t_h4s_extreals_extreal,X10))),s(t_h4s_extreals_extreal,X17))))<=>(p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X6),s(t_h4s_extreals_extreal,X17))))&p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X10),s(t_h4s_extreals_extreal,X17)))))),file('i/f/extreal/max__le', ch4s_extreals_maxu_u_le)).
# SZS output end CNFRefutation
