# 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,f))),file('i/f/pred_set/SING__FINITE', aHLu_FALSITY)).
fof(9, axiom,![X5]:(s(t_bool,X5)=s(t_bool,f)<=>~(p(s(t_bool,X5)))),file('i/f/pred_set/SING__FINITE', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(42, axiom,(p(s(t_bool,f))<=>![X5]:p(s(t_bool,X5))),file('i/f/pred_set/SING__FINITE', ah4s_bools_Fu_u_DEF)).
fof(47, axiom,![X1]:![X6]:![X2]:s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X6),s(t_fun(X1,t_bool),X2)))))=s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X2))),file('i/f/pred_set/SING__FINITE', ah4s_predu_u_sets_FINITEu_u_INSERT)).
fof(49, axiom,![X1]:p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)))),file('i/f/pred_set/SING__FINITE', ah4s_predu_u_sets_FINITEu_u_EMPTY)).
fof(74, axiom,![X1]:![X2]:(p(s(t_bool,h4s_predu_u_sets_sing(s(t_fun(X1,t_bool),X2))))<=>?[X6]:s(t_fun(X1,t_bool),X2)=s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X6),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(80, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/pred_set/SING__FINITE', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
