# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,s(t_fun(t_bool,t_bool),h4s_predu_u_sets_univ)=s(t_fun(t_bool,t_bool),h4s_predu_u_sets_insert(s(t_bool,t),s(t_fun(t_bool,t_bool),h4s_predu_u_sets_insert(s(t_bool,f),s(t_fun(t_bool,t_bool),h4s_predu_u_sets_empty))))),file('i/f/pred_set/UNIV__BOOL', ch4s_predu_u_sets_UNIVu_u_BOOL)).
fof(31, axiom,![X1]:![X7]:![X4]:![X3]:s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X4),s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X7),s(t_fun(X1,t_bool),X3)))))=s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X7),s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X4),s(t_fun(X1,t_bool),X3))))),file('i/f/pred_set/UNIV__BOOL', ah4s_predu_u_sets_INSERTu_u_COMM)).
fof(43, axiom,![X1]:![X4]:![X3]:p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X4),s(t_fun(X1,t_bool),X3)))))),file('i/f/pred_set/UNIV__BOOL', ah4s_predu_u_sets_COMPONENT)).
fof(65, axiom,![X1]:![X3]:(![X4]:p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X3))))<=>s(t_fun(X1,t_bool),X3)=s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)),file('i/f/pred_set/UNIV__BOOL', ah4s_predu_u_sets_EQu_u_UNIV)).
fof(66, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/UNIV__BOOL', aHLu_FALSITY)).
fof(68, axiom,![X2]:(s(t_bool,f)=s(t_bool,X2)<=>~(p(s(t_bool,X2)))),file('i/f/pred_set/UNIV__BOOL', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(80, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)|s(t_bool,X2)=s(t_bool,f)),file('i/f/pred_set/UNIV__BOOL', aHLu_BOOLu_CASES)).
fof(81, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/pred_set/UNIV__BOOL', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
