# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),h4s_predu_u_sets_biginter(s(t_fun(t_fun(X1,t_bool),t_bool),X3))),s(X1,X2))))<=>![X4]:(p(s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),X4),s(t_fun(t_fun(X1,t_bool),t_bool),X3))))=>p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X4)))))),file('i/f/pred_set/BIGINTER__applied', ch4s_predu_u_sets_BIGINTERu_u_applied)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/pred_set/BIGINTER__applied', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/BIGINTER__applied', aHLu_FALSITY)).
fof(4, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_biginter(s(t_fun(t_fun(X1,t_bool),t_bool),X3))))))<=>![X4]:(p(s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),X4),s(t_fun(t_fun(X1,t_bool),t_bool),X3))))=>p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X4)))))),file('i/f/pred_set/BIGINTER__applied', ah4s_predu_u_sets_INu_u_BIGINTER)).
fof(5, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/pred_set/BIGINTER__applied', aHLu_BOOLu_CASES)).
fof(7, axiom,![X1]:![X2]:![X10]:s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X10)))=s(t_bool,happ(s(t_fun(X1,t_bool),X10),s(X1,X2))),file('i/f/pred_set/BIGINTER__applied', ah4s_bools_INu_u_DEF)).
# SZS output end CNFRefutation
