# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_predu_u_sets_sing(s(t_fun(X1,t_bool),X2))))=>p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X2))))),file('i/f/pred_set/SING__FINITE', ch4s_predu_u_sets_SINGu_u_FINITE)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/pred_set/SING__FINITE', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/SING__FINITE', aHLu_FALSITY)).
fof(4, axiom,![X1]:![X2]:(p(s(t_bool,h4s_predu_u_sets_sing(s(t_fun(X1,t_bool),X2))))<=>?[X3]:s(t_fun(X1,t_bool),X2)=s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)))),file('i/f/pred_set/SING__FINITE', ah4s_predu_u_sets_SINGu_u_DEF)).
fof(5, axiom,![X1]:![X3]:p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)))))),file('i/f/pred_set/SING__FINITE', ah4s_predu_u_sets_FINITEu_u_SING)).
fof(6, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/pred_set/SING__FINITE', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
