# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))),s(X1,X3))))<=>s(X1,X3)=s(X1,X2)),file('i/f/pred_set/SING__applied', ch4s_predu_u_sets_SINGu_u_applied)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/pred_set/SING__applied', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/SING__applied', aHLu_FALSITY)).
fof(4, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/pred_set/SING__applied', aHLu_BOOLu_CASES)).
fof(6, axiom,![X1]:![X3]:![X9]:s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X9)))=s(t_bool,happ(s(t_fun(X1,t_bool),X9),s(X1,X3))),file('i/f/pred_set/SING__applied', ah4s_bools_INu_u_DEF)).
fof(7, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))))<=>s(X1,X3)=s(X1,X2)),file('i/f/pred_set/SING__applied', ah4s_predu_u_sets_INu_u_SING)).
# SZS output end CNFRefutation
