# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),X2),s(t_fun(t_fun(X1,t_bool),t_bool),X4))))=>p(s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),X2),s(t_fun(t_fun(X1,t_bool),t_bool),h4s_measures_subsets(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_fun(t_fun(X1,t_bool),t_bool)),h4s_measures_sigma(s(t_fun(X1,t_bool),X3),s(t_fun(t_fun(X1,t_bool),t_bool),X4))))))))),file('i/f/measure/IN__SIGMA', ch4s_measures_INu_u_SIGMA)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/measure/IN__SIGMA', aHLu_TRUTH)).
fof(6, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/measure/IN__SIGMA', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(10, axiom,![X1]:![X5]:![X12]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X12),s(t_fun(X1,t_bool),X5))))<=>![X2]:(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X12))))=>p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X5)))))),file('i/f/measure/IN__SIGMA', ah4s_predu_u_sets_SUBSETu_u_DEF)).
fof(11, axiom,![X1]:![X3]:![X4]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(t_fun(X1,t_bool),t_bool),X4),s(t_fun(t_fun(X1,t_bool),t_bool),h4s_measures_subsets(s(t_h4s_pairs_prod(t_fun(X1,t_bool),t_fun(t_fun(X1,t_bool),t_bool)),h4s_measures_sigma(s(t_fun(X1,t_bool),X3),s(t_fun(t_fun(X1,t_bool),t_bool),X4)))))))),file('i/f/measure/IN__SIGMA', ah4s_measures_SIGMAu_u_SUBSETu_u_SUBSETS)).
fof(13, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/measure/IN__SIGMA', aHLu_BOOLu_CASES)).
fof(14, axiom,~(p(s(t_bool,f))),file('i/f/measure/IN__SIGMA', aHLu_FALSITY)).
# SZS output end CNFRefutation
