# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X2),s(t_fun(X1,t_bool),X3)))))),file('i/f/pred_set/COMPONENT', ch4s_predu_u_sets_COMPONENT)).
fof(2, axiom,![X4]:![X5]:((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>s(t_bool,X5)=s(t_bool,X4))),file('i/f/pred_set/COMPONENT', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(25, axiom,![X1]:![X2]:![X19]:s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X19)))=s(t_bool,happ(s(t_fun(X1,t_bool),X19),s(X1,X2))),file('i/f/pred_set/COMPONENT', ah4s_bools_INu_u_DEF)).
fof(33, axiom,![X1]:![X13]:![X2]:![X3]:(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X13),s(t_fun(X1,t_bool),X3))))))<=>(s(X1,X2)=s(X1,X13)|p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X3)))))),file('i/f/pred_set/COMPONENT', ah4s_predu_u_sets_INu_u_INSERT)).
fof(62, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/COMPONENT', aHLu_FALSITY)).
fof(65, axiom,(p(s(t_bool,f))<=>![X6]:p(s(t_bool,X6))),file('i/f/pred_set/COMPONENT', ah4s_bools_Fu_u_DEF)).
# SZS output end CNFRefutation
