# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,h4s_extreals_neginf),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_inf(s(t_fun(t_h4s_extreals_extreal,t_bool),X1))))))=>![X2]:(p(s(t_bool,happ(s(t_fun(t_h4s_extreals_extreal,t_bool),X1),s(t_h4s_extreals_extreal,X2))))=>p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,h4s_extreals_neginf),s(t_h4s_extreals_extreal,X2)))))),file('i/f/extreal/inf__lt__infty', ch4s_extreals_infu_u_ltu_u_infty)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/extreal/inf__lt__infty', aHLu_FALSITY)).
fof(17, axiom,![X8]:![X9]:![X2]:((p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X9))))&p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X9),s(t_h4s_extreals_extreal,X8)))))=>p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X8))))),file('i/f/extreal/inf__lt__infty', ah4s_extreals_lteu_u_trans)).
fof(18, axiom,![X2]:![X1]:(p(s(t_bool,happ(s(t_fun(t_h4s_extreals_extreal,t_bool),X1),s(t_h4s_extreals_extreal,X2))))=>p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_inf(s(t_fun(t_h4s_extreals_extreal,t_bool),X1))),s(t_h4s_extreals_extreal,X2))))),file('i/f/extreal/inf__lt__infty', ah4s_extreals_infu_u_leu_u_imp)).
fof(20, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/extreal/inf__lt__infty', aHLu_BOOLu_CASES)).
fof(21, axiom,p(s(t_bool,t)),file('i/f/extreal/inf__lt__infty', aHLu_TRUTH)).
fof(23, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/extreal/inf__lt__infty', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
