# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,s(t_fun(t_bool,t_bool),h4s_predu_u_sets_univ)=s(t_fun(t_bool,t_bool),h4s_predu_u_sets_insert(s(t_bool,t),s(t_fun(t_bool,t_bool),h4s_predu_u_sets_insert(s(t_bool,f),s(t_fun(t_bool,t_bool),h4s_predu_u_sets_empty))))),file('i/f/pred_set/UNIV__BOOL', ch4s_predu_u_sets_UNIVu_u_BOOL)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/pred_set/UNIV__BOOL', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/UNIV__BOOL', aHLu_FALSITY)).
fof(4, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/pred_set/UNIV__BOOL', aHLu_BOOLu_CASES)).
fof(6, axiom,![X2]:![X3]:((p(s(t_bool,X3))=>p(s(t_bool,X2)))=>((p(s(t_bool,X2))=>p(s(t_bool,X3)))=>s(t_bool,X3)=s(t_bool,X2))),file('i/f/pred_set/UNIV__BOOL', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(12, axiom,![X1]:(s(t_bool,t)=s(t_bool,X1)<=>p(s(t_bool,X1))),file('i/f/pred_set/UNIV__BOOL', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(14, axiom,![X1]:(s(t_bool,f)=s(t_bool,X1)<=>~(p(s(t_bool,X1)))),file('i/f/pred_set/UNIV__BOOL', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(15, axiom,![X4]:![X1]:![X7]:(s(t_fun(X4,t_bool),X7)=s(t_fun(X4,t_bool),X1)<=>![X5]:s(t_bool,h4s_bools_in(s(X4,X5),s(t_fun(X4,t_bool),X7)))=s(t_bool,h4s_bools_in(s(X4,X5),s(t_fun(X4,t_bool),X1)))),file('i/f/pred_set/UNIV__BOOL', ah4s_predu_u_sets_EXTENSION)).
fof(16, axiom,![X4]:![X6]:![X5]:![X7]:(p(s(t_bool,h4s_bools_in(s(X4,X5),s(t_fun(X4,t_bool),h4s_predu_u_sets_insert(s(X4,X6),s(t_fun(X4,t_bool),X7))))))<=>(s(X4,X5)=s(X4,X6)|p(s(t_bool,h4s_bools_in(s(X4,X5),s(t_fun(X4,t_bool),X7)))))),file('i/f/pred_set/UNIV__BOOL', ah4s_predu_u_sets_INu_u_INSERT)).
fof(18, axiom,![X4]:![X5]:p(s(t_bool,h4s_bools_in(s(X4,X5),s(t_fun(X4,t_bool),h4s_predu_u_sets_univ)))),file('i/f/pred_set/UNIV__BOOL', ah4s_predu_u_sets_INu_u_UNIV)).
# SZS output end CNFRefutation
