# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)))),file('i/f/pred_set/SUBSET__UNIV', ch4s_predu_u_sets_SUBSETu_u_UNIV)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/SUBSET__UNIV', aHLu_FALSITY)).
fof(3, axiom,![X3]:![X4]:((p(s(t_bool,X4))=>p(s(t_bool,X3)))=>((p(s(t_bool,X3))=>p(s(t_bool,X4)))=>s(t_bool,X4)=s(t_bool,X3))),file('i/f/pred_set/SUBSET__UNIV', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(25, axiom,(p(s(t_bool,f))<=>![X5]:p(s(t_bool,X5))),file('i/f/pred_set/SUBSET__UNIV', ah4s_bools_Fu_u_DEF)).
fof(42, axiom,![X1]:![X5]:![X2]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X5))))<=>![X6]:(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X2))))=>p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X5)))))),file('i/f/pred_set/SUBSET__UNIV', ah4s_predu_u_sets_SUBSETu_u_DEF)).
fof(49, axiom,![X1]:![X6]:s(t_bool,happ(s(t_fun(X1,t_bool),h4s_predu_u_sets_univ),s(X1,X6)))=s(t_bool,t),file('i/f/pred_set/SUBSET__UNIV', ah4s_predu_u_sets_UNIVu_u_DEF)).
fof(54, axiom,![X1]:![X6]:![X7]:s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X7)))=s(t_bool,happ(s(t_fun(X1,t_bool),X7),s(X1,X6))),file('i/f/pred_set/SUBSET__UNIV', ah4s_predu_u_sets_SPECIFICATION)).
fof(71, axiom,p(s(t_bool,t)),file('i/f/pred_set/SUBSET__UNIV', aHLu_TRUTH)).
# SZS output end CNFRefutation
