# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:~(p(s(t_bool,h4s_bools_in(s(X1,h4s_predu_u_sets_choice(s(t_fun(X1,t_bool),X2))),s(t_fun(X1,t_bool),h4s_predu_u_sets_rest(s(t_fun(X1,t_bool),X2))))))),file('i/f/pred_set/CHOICE__NOT__IN__REST', ch4s_predu_u_sets_CHOICEu_u_NOTu_u_INu_u_REST)).
fof(3, 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/CHOICE__NOT__IN__REST', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(37, axiom,![X1]:![X6]:![X16]:s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X16)))=s(t_bool,happ(s(t_fun(X1,t_bool),X16),s(X1,X6))),file('i/f/pred_set/CHOICE__NOT__IN__REST', ah4s_bools_INu_u_DEF)).
fof(47, axiom,![X1]:![X2]:s(t_fun(X1,t_bool),h4s_predu_u_sets_rest(s(t_fun(X1,t_bool),X2)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_delete(s(t_fun(X1,t_bool),X2),s(X1,h4s_predu_u_sets_choice(s(t_fun(X1,t_bool),X2))))),file('i/f/pred_set/CHOICE__NOT__IN__REST', ah4s_predu_u_sets_RESTu_u_DEF)).
fof(70, axiom,![X1]:![X19]:![X6]:![X2]:(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),h4s_predu_u_sets_delete(s(t_fun(X1,t_bool),X2),s(X1,X19))))))<=>(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X2))))&~(s(X1,X6)=s(X1,X19)))),file('i/f/pred_set/CHOICE__NOT__IN__REST', ah4s_predu_u_sets_INu_u_DELETE)).
fof(78, axiom,p(s(t_bool,t)),file('i/f/pred_set/CHOICE__NOT__IN__REST', aHLu_TRUTH)).
# SZS output end CNFRefutation
