# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_univ),file('i/f/pred_set/UNION__UNIV_c1', ch4s_predu_u_sets_UNIONu_u_UNIVu_c1)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/pred_set/UNION__UNIV_c1', aHLu_TRUTH)).
fof(8, axiom,![X3]:(s(t_bool,t)=s(t_bool,X3)<=>p(s(t_bool,X3))),file('i/f/pred_set/UNION__UNIV_c1', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(10, 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/UNION__UNIV_c1', ah4s_predu_u_sets_EXTENSION)).
fof(11, 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/UNION__UNIV_c1', ah4s_predu_u_sets_INu_u_UNIV)).
fof(13, axiom,![X1]:![X4]:![X3]:![X2]:(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X3))))))<=>(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/UNION__UNIV_c1', ah4s_predu_u_sets_INu_u_UNION)).
fof(14, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/pred_set/UNION__UNIV_c1', aHLu_BOOLu_CASES)).
fof(15, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/UNION__UNIV_c1', aHLu_FALSITY)).
# SZS output end CNFRefutation
