# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))))<=>s(X1,X3)=s(X1,X2)),file('i/f/pred_set/IN__SING', ch4s_predu_u_sets_INu_u_SING)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/IN__SING', aHLu_FALSITY)).
fof(6, 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/IN__SING', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(11, 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/IN__SING', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(12, axiom,![X1]:![X2]:![X3]:![X7]:(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X2),s(t_fun(X1,t_bool),X7))))))<=>(s(X1,X3)=s(X1,X2)|p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X7)))))),file('i/f/pred_set/IN__SING', ah4s_predu_u_sets_INu_u_INSERT)).
# SZS output end CNFRefutation
