# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),h4s_predu_u_sets_univ),s(t_fun(X1,t_bool),X2))))<=>s(t_fun(X1,t_bool),X2)=s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)),file('i/f/pred_set/UNIV__SUBSET', ch4s_predu_u_sets_UNIVu_u_SUBSET)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/pred_set/UNIV__SUBSET', aHLu_TRUTH)).
fof(7, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/pred_set/UNIV__SUBSET', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(8, axiom,![X1]:![X3]:![X2]:(s(t_fun(X1,t_bool),X2)=s(t_fun(X1,t_bool),X3)<=>![X4]:s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X2)))=s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X3)))),file('i/f/pred_set/UNIV__SUBSET', ah4s_predu_u_sets_EXTENSION)).
fof(9, axiom,![X1]:![X4]:p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)))),file('i/f/pred_set/UNIV__SUBSET', ah4s_predu_u_sets_INu_u_UNIV)).
fof(11, axiom,![X1]:![X3]:![X2]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X3))))<=>![X4]:(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X2))))=>p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X3)))))),file('i/f/pred_set/UNIV__SUBSET', ah4s_predu_u_sets_SUBSETu_u_DEF)).
fof(12, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/UNIV__SUBSET', aHLu_FALSITY)).
fof(13, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/pred_set/UNIV__SUBSET', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
