# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X3))),s(X1,X2))))<=>(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X4))))|p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X3)))))),file('i/f/pred_set/UNION__applied', ch4s_predu_u_sets_UNIONu_u_applied)).
fof(28, axiom,![X1]:![X2]:![X8]:s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X8)))=s(t_bool,happ(s(t_fun(X1,t_bool),X8),s(X1,X2))),file('i/f/pred_set/UNION__applied', ah4s_predu_u_sets_SPECIFICATION)).
fof(36, axiom,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X3))))))<=>(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X4))))|p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X3)))))),file('i/f/pred_set/UNION__applied', ah4s_predu_u_sets_INu_u_UNION)).
fof(39, axiom,p(s(t_bool,t0)),file('i/f/pred_set/UNION__applied', aHLu_TRUTH)).
fof(40, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t0)|s(t_bool,X3)=s(t_bool,f)),file('i/f/pred_set/UNION__applied', aHLu_BOOLu_CASES)).
fof(41, axiom,![X3]:(s(t_bool,t0)=s(t_bool,X3)<=>p(s(t_bool,X3))),file('i/f/pred_set/UNION__applied', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(55, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/UNION__applied', aHLu_FALSITY)).
fof(57, axiom,![X3]:(s(t_bool,f)=s(t_bool,X3)<=>~(p(s(t_bool,X3)))),file('i/f/pred_set/UNION__applied', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(58, axiom,(p(s(t_bool,f))<=>![X3]:p(s(t_bool,X3))),file('i/f/pred_set/UNION__applied', ah4s_bools_Fu_u_DEF)).
# SZS output end CNFRefutation
