# 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(21, axiom,![X1]:![X3]:![X4]:p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X3),s(t_fun(X1,t_bool),X4)))))),file('i/f/pred_set/SING__applied', ah4s_predu_u_sets_COMPONENT)).
fof(40, axiom,![X1]:![X3]:~(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/pred_set/SING__applied', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(59, axiom,![X1]:![X2]:![X3]:![X4]:(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),X4))),s(X1,X3))))<=>(s(X1,X3)=s(X1,X2)|p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X4)))))),file('i/f/pred_set/SING__applied', ah4s_predu_u_sets_INSERTu_u_applied)).
fof(60, axiom,![X1]:![X3]:![X24]:s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X24)))=s(t_bool,happ(s(t_fun(X1,t_bool),X24),s(X1,X3))),file('i/f/pred_set/SING__applied', ah4s_bools_INu_u_DEF)).
# SZS output end CNFRefutation
