# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),h4s_predu_u_sets_diff(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2))),s(t_fun(X1,t_bool),X3)))),file('i/f/pred_set/DIFF__SUBSET', ch4s_predu_u_sets_DIFFu_u_SUBSET)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/DIFF__SUBSET', aHLu_FALSITY)).
fof(17, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2))))<=>![X11]:(p(s(t_bool,h4s_bools_in(s(X1,X11),s(t_fun(X1,t_bool),X3))))=>p(s(t_bool,h4s_bools_in(s(X1,X11),s(t_fun(X1,t_bool),X2)))))),file('i/f/pred_set/DIFF__SUBSET', ah4s_predu_u_sets_SUBSETu_u_DEF)).
fof(20, axiom,![X1]:![X11]:![X2]:![X3]:(p(s(t_bool,h4s_bools_in(s(X1,X11),s(t_fun(X1,t_bool),h4s_predu_u_sets_diff(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2))))))<=>(p(s(t_bool,h4s_bools_in(s(X1,X11),s(t_fun(X1,t_bool),X3))))&~(p(s(t_bool,h4s_bools_in(s(X1,X11),s(t_fun(X1,t_bool),X2))))))),file('i/f/pred_set/DIFF__SUBSET', ah4s_predu_u_sets_INu_u_DIFF)).
fof(21, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t0)|s(t_bool,X2)=s(t_bool,f)),file('i/f/pred_set/DIFF__SUBSET', aHLu_BOOLu_CASES)).
fof(22, axiom,p(s(t_bool,t0)),file('i/f/pred_set/DIFF__SUBSET', aHLu_TRUTH)).
# SZS output end CNFRefutation
