# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_probabilitys_probu_u_space(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X2))))=>p(s(t_bool,h4s_measures_additive(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X2))))),file('i/f/probability/PROB__SPACE__ADDITIVE', ch4s_probabilitys_PROBu_u_SPACEu_u_ADDITIVE)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/probability/PROB__SPACE__ADDITIVE', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/probability/PROB__SPACE__ADDITIVE', aHLu_FALSITY)).
fof(19, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/probability/PROB__SPACE__ADDITIVE', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(20, axiom,![X5]:(s(t_bool,X5)=s(t_bool,f)<=>~(p(s(t_bool,X5)))),file('i/f/probability/PROB__SPACE__ADDITIVE', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(42, axiom,![X1]:![X13]:((p(s(t_bool,h4s_measures_algebra(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_fun(t_fun(X1,t_bool),t_bool)),h4s_pairs_u_2c(s(t_fun(X1,t_bool),happ(s(t_fun(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),t_fun(X1,t_bool)),h4s_measures_mu_u_space),s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X13))),s(t_fun(t_fun(X1,t_bool),t_bool),happ(s(t_fun(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),t_fun(t_fun(X1,t_bool),t_bool)),h4s_measures_measurableu_u_sets),s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X13))))))))&(p(s(t_bool,h4s_measures_positive(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X13))))&p(s(t_bool,h4s_measures_countablyu_u_additive(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X13))))))=>p(s(t_bool,h4s_measures_additive(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X13))))),file('i/f/probability/PROB__SPACE__ADDITIVE', ah4s_measures_COUNTABLYu_u_ADDITIVEu_u_ADDITIVE)).
fof(43, axiom,![X1]:s(t_fun(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),t_fun(X1,t_bool)),h4s_probabilitys_pu_u_space)=s(t_fun(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),t_fun(X1,t_bool)),h4s_measures_mu_u_space),file('i/f/probability/PROB__SPACE__ADDITIVE', ah4s_probabilitys_pu_u_spaceu_u_def)).
fof(44, axiom,![X1]:s(t_fun(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),t_fun(t_fun(X1,t_bool),t_bool)),h4s_probabilitys_events)=s(t_fun(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),t_fun(t_fun(X1,t_bool),t_bool)),h4s_measures_measurableu_u_sets),file('i/f/probability/PROB__SPACE__ADDITIVE', ah4s_probabilitys_eventsu_u_def)).
fof(45, axiom,![X1]:![X2]:(p(s(t_bool,h4s_probabilitys_probu_u_space(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X2))))=>p(s(t_bool,h4s_measures_algebra(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_fun(t_fun(X1,t_bool),t_bool)),h4s_pairs_u_2c(s(t_fun(X1,t_bool),happ(s(t_fun(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),t_fun(X1,t_bool)),h4s_probabilitys_pu_u_space),s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X2))),s(t_fun(t_fun(X1,t_bool),t_bool),happ(s(t_fun(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),t_fun(t_fun(X1,t_bool),t_bool)),h4s_probabilitys_events),s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X2))))))))),file('i/f/probability/PROB__SPACE__ADDITIVE', ah4s_probabilitys_EVENTSu_u_ALGEBRA)).
fof(46, axiom,![X1]:![X2]:(p(s(t_bool,h4s_probabilitys_probu_u_space(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X2))))=>p(s(t_bool,h4s_measures_positive(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X2))))),file('i/f/probability/PROB__SPACE__ADDITIVE', ah4s_probabilitys_PROBu_u_SPACEu_u_POSITIVE)).
fof(47, axiom,![X1]:![X2]:(p(s(t_bool,h4s_probabilitys_probu_u_space(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X2))))=>p(s(t_bool,h4s_measures_countablyu_u_additive(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_h4s_pairs_prod(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_h4s_realaxs_real))),X2))))),file('i/f/probability/PROB__SPACE__ADDITIVE', ah4s_probabilitys_PROBu_u_SPACEu_u_COUNTABLYu_u_ADDITIVE)).
# SZS output end CNFRefutation
