# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_extreals_extreal,h4s_measures_fnu_u_plus(s(t_fun(X1,t_h4s_extreals_extreal),X3),s(X1,X2)))))),file('i/f/measure/FN__PLUS__POS', ch4s_measures_FNu_u_PLUSu_u_POS)).
fof(4, 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/measure/FN__PLUS__POS', ah4s_extreals_leu_u_refl)).
fof(5, axiom,![X1]:![X7]:![X2]:s(t_h4s_extreals_extreal,h4s_measures_fnu_u_plus(s(t_fun(X1,t_h4s_extreals_extreal),X7),s(X1,X2)))=s(t_h4s_extreals_extreal,h4s_bools_cond(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_extreals_extreal,happ(s(t_fun(X1,t_h4s_extreals_extreal),X7),s(X1,X2))))),s(t_h4s_extreals_extreal,happ(s(t_fun(X1,t_h4s_extreals_extreal),X7),s(X1,X2))),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/measure/FN__PLUS__POS', ah4s_measures_fnu_u_plusu_u_def)).
fof(6, axiom,![X1]:![X4]:![X5]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X5),s(X1,X4)))=s(X1,X5),file('i/f/measure/FN__PLUS__POS', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(7, axiom,![X1]:![X4]:![X5]:s(X1,h4s_bools_cond(s(t_bool,f),s(X1,X5),s(X1,X4)))=s(X1,X4),file('i/f/measure/FN__PLUS__POS', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(9, axiom,![X10]:![X2]:(p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X10))))=>p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X10))))),file('i/f/measure/FN__PLUS__POS', ah4s_extreals_ltu_u_impu_u_le)).
fof(10, axiom,p(s(t_bool,t)),file('i/f/measure/FN__PLUS__POS', aHLu_TRUTH)).
fof(12, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/measure/FN__PLUS__POS', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(14, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/measure/FN__PLUS__POS', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
