# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(![X2]:![X3]:s(t_h4s_pairs_prod(t_h4s_extreals_extreal,t_bool),happ(s(t_fun(t_h4s_extreals_extreal,t_h4s_pairs_prod(t_h4s_extreals_extreal,t_bool)),happ(s(t_fun(t_h4s_extreals_extreal,t_fun(t_h4s_extreals_extreal,t_h4s_pairs_prod(t_h4s_extreals_extreal,t_bool))),X1),s(t_h4s_extreals_extreal,X2))),s(t_h4s_extreals_extreal,X3)))=s(t_h4s_pairs_prod(t_h4s_extreals_extreal,t_bool),h4s_pairs_u_2c(s(t_h4s_extreals_extreal,X3),s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X2)))))=>![X2]:p(s(t_bool,h4s_bools_in(s(t_fun(t_h4s_extreals_extreal,t_bool),h4s_predu_u_sets_gspec(s(t_fun(t_h4s_extreals_extreal,t_h4s_pairs_prod(t_h4s_extreals_extreal,t_bool)),happ(s(t_fun(t_h4s_extreals_extreal,t_fun(t_h4s_extreals_extreal,t_h4s_pairs_prod(t_h4s_extreals_extreal,t_bool))),X1),s(t_h4s_extreals_extreal,X2))))),s(t_fun(t_fun(t_h4s_extreals_extreal,t_bool),t_bool),h4s_measures_subsets(s(t_h4s_pairs_prod(t_fun(t_h4s_extreals_extreal,t_bool),t_fun(t_fun(t_h4s_extreals_extreal,t_bool),t_bool)),h4s_measures_borel))))))),file('i/f/measure/BOREL__MEASURABLE__SETS_c3', ch4s_measures_BORELu_u_MEASURABLEu_u_SETSu_c3)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/measure/BOREL__MEASURABLE__SETS_c3', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/measure/BOREL__MEASURABLE__SETS_c3', aHLu_FALSITY)).
fof(6, axiom,![X1]:(![X2]:![X3]:s(t_h4s_pairs_prod(t_h4s_extreals_extreal,t_bool),happ(s(t_fun(t_h4s_extreals_extreal,t_h4s_pairs_prod(t_h4s_extreals_extreal,t_bool)),happ(s(t_fun(t_h4s_extreals_extreal,t_fun(t_h4s_extreals_extreal,t_h4s_pairs_prod(t_h4s_extreals_extreal,t_bool))),X1),s(t_h4s_extreals_extreal,X2))),s(t_h4s_extreals_extreal,X3)))=s(t_h4s_pairs_prod(t_h4s_extreals_extreal,t_bool),h4s_pairs_u_2c(s(t_h4s_extreals_extreal,X3),s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X2)))))=>![X2]:p(s(t_bool,h4s_bools_in(s(t_fun(t_h4s_extreals_extreal,t_bool),h4s_predu_u_sets_gspec(s(t_fun(t_h4s_extreals_extreal,t_h4s_pairs_prod(t_h4s_extreals_extreal,t_bool)),happ(s(t_fun(t_h4s_extreals_extreal,t_fun(t_h4s_extreals_extreal,t_h4s_pairs_prod(t_h4s_extreals_extreal,t_bool))),X1),s(t_h4s_extreals_extreal,X2))))),s(t_fun(t_fun(t_h4s_extreals_extreal,t_bool),t_bool),h4s_measures_subsets(s(t_h4s_pairs_prod(t_fun(t_h4s_extreals_extreal,t_bool),t_fun(t_fun(t_h4s_extreals_extreal,t_bool),t_bool)),h4s_measures_borel))))))),file('i/f/measure/BOREL__MEASURABLE__SETS_c3', ah4s_measures_BORELu_u_MEASURABLEu_u_SETS3)).
fof(7, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/measure/BOREL__MEASURABLE__SETS_c3', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
