# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_fun(X1,t_bool),h4s_predu_u_sets_inter(s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),s(t_fun(X1,t_bool),X2)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),file('i/f/pred_set/INTER__EMPTY_c0', ch4s_predu_u_sets_INTERu_u_EMPTYu_c0)).
fof(2, 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/INTER__EMPTY_c0', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(3, axiom,![X1]:![X3]:![X4]:![X2]:(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_inter(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X4))))))<=>(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X2))))&p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X4)))))),file('i/f/pred_set/INTER__EMPTY_c0', ah4s_predu_u_sets_INu_u_INTER)).
fof(4, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/pred_set/INTER__EMPTY_c0', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(6, axiom,![X1]:![X4]:![X2]:(s(t_fun(X1,t_bool),X2)=s(t_fun(X1,t_bool),X4)<=>![X3]:s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X2)))=s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X4)))),file('i/f/pred_set/INTER__EMPTY_c0', ah4s_predu_u_sets_EXTENSION)).
# SZS output end CNFRefutation
