# 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_diff(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X2)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),file('i/f/pred_set/DIFF__EQ__EMPTY', ch4s_predu_u_sets_DIFFu_u_EQu_u_EMPTY)).
fof(2, axiom,![X3]:![X4]:((p(s(t_bool,X4))=>p(s(t_bool,X3)))=>((p(s(t_bool,X3))=>p(s(t_bool,X4)))=>s(t_bool,X4)=s(t_bool,X3))),file('i/f/pred_set/DIFF__EQ__EMPTY', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(8, axiom,![X1]:![X6]:~(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/pred_set/DIFF__EQ__EMPTY', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(9, axiom,![X1]:![X5]:![X2]:(s(t_fun(X1,t_bool),X2)=s(t_fun(X1,t_bool),X5)<=>![X6]:s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X2)))=s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X5)))),file('i/f/pred_set/DIFF__EQ__EMPTY', ah4s_predu_u_sets_EXTENSION)).
fof(10, axiom,![X1]:![X6]:![X5]:![X2]:(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),h4s_predu_u_sets_diff(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X5))))))<=>(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X2))))&~(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X5))))))),file('i/f/pred_set/DIFF__EQ__EMPTY', ah4s_predu_u_sets_INu_u_DIFF)).
# SZS output end CNFRefutation
