# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_fun(X1,t_bool),h4s_predu_u_sets_biginter(s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_empty)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_univ),file('i/f/pred_set/BIGINTER__EMPTY', ch4s_predu_u_sets_BIGINTERu_u_EMPTY)).
fof(3, axiom,![X4]:![X5]:((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>s(t_bool,X5)=s(t_bool,X4))),file('i/f/pred_set/BIGINTER__EMPTY', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(26, axiom,![X1]:![X19]:(![X3]:p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X19))))<=>s(t_fun(X1,t_bool),X19)=s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)),file('i/f/pred_set/BIGINTER__EMPTY', ah4s_predu_u_sets_EQu_u_UNIV)).
fof(27, axiom,![X1]:![X3]:![X13]:(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_biginter(s(t_fun(t_fun(X1,t_bool),t_bool),X13))))))<=>![X12]:(p(s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),X12),s(t_fun(t_fun(X1,t_bool),t_bool),X13))))=>p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X12)))))),file('i/f/pred_set/BIGINTER__EMPTY', ah4s_predu_u_sets_INu_u_BIGINTER)).
fof(33, 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/BIGINTER__EMPTY', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(39, axiom,p(s(t_bool,t)),file('i/f/pred_set/BIGINTER__EMPTY', aHLu_TRUTH)).
fof(47, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/pred_set/BIGINTER__EMPTY', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
