# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(~(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)))))<=>![X2]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X2))))=>?[X3]:~(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X2))))))),file('i/f/pred_set/NOT__IN__FINITE', ch4s_predu_u_sets_NOTu_u_INu_u_FINITE)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/pred_set/NOT__IN__FINITE', aHLu_TRUTH)).
fof(5, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/pred_set/NOT__IN__FINITE', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(53, axiom,![X1]:![X2]:(![X3]:p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X2))))<=>s(t_fun(X1,t_bool),X2)=s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)),file('i/f/pred_set/NOT__IN__FINITE', ah4s_predu_u_sets_EQu_u_UNIV)).
fof(55, axiom,![X1]:![X3]:![X15]:s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X15)))=s(t_bool,happ(s(t_fun(X1,t_bool),X15),s(X1,X3))),file('i/f/pred_set/NOT__IN__FINITE', ah4s_predu_u_sets_SPECIFICATION)).
fof(72, axiom,![X1]:![X3]:s(t_bool,happ(s(t_fun(X1,t_bool),h4s_predu_u_sets_univ),s(X1,X3)))=s(t_bool,t),file('i/f/pred_set/NOT__IN__FINITE', ah4s_predu_u_sets_UNIVu_u_DEF)).
fof(75, axiom,![X1]:![X3]:s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X3),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/NOT__IN__FINITE', ah4s_predu_u_sets_INSERTu_u_UNIV)).
# SZS output end CNFRefutation
