# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_predu_u_sets_bij(s(t_fun(X1,X2),X5),s(t_fun(X1,t_bool),X4),s(t_fun(X2,t_bool),X3))))=>![X6]:(p(s(t_bool,h4s_bools_in(s(X2,X6),s(t_fun(X2,t_bool),X3))))=>s(X2,happ(s(t_fun(X1,X2),X5),s(X1,h4s_predu_u_sets_linv(s(t_fun(X1,X2),X5),s(t_fun(X1,t_bool),X4),s(X2,X6)))))=s(X2,X6))),file('i/f/pred_set/BIJ__LINV__INV', ch4s_predu_u_sets_BIJu_u_LINVu_u_INV)).
fof(23, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_predu_u_sets_surj(s(t_fun(X1,X2),X5),s(t_fun(X1,t_bool),X4),s(t_fun(X2,t_bool),X3))))<=>(![X6]:(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X4))))=>p(s(t_bool,h4s_bools_in(s(X2,happ(s(t_fun(X1,X2),X5),s(X1,X6))),s(t_fun(X2,t_bool),X3)))))&![X6]:(p(s(t_bool,h4s_bools_in(s(X2,X6),s(t_fun(X2,t_bool),X3))))=>?[X9]:(p(s(t_bool,h4s_bools_in(s(X1,X9),s(t_fun(X1,t_bool),X4))))&s(X2,happ(s(t_fun(X1,X2),X5),s(X1,X9)))=s(X2,X6))))),file('i/f/pred_set/BIJ__LINV__INV', ah4s_predu_u_sets_SURJu_u_DEF)).
fof(24, axiom,![X2]:![X1]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_predu_u_sets_inj(s(t_fun(X1,X2),X5),s(t_fun(X1,t_bool),X4),s(t_fun(X2,t_bool),X3))))=>![X6]:(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X4))))=>s(X1,h4s_predu_u_sets_linv(s(t_fun(X1,X2),X5),s(t_fun(X1,t_bool),X4),s(X2,happ(s(t_fun(X1,X2),X5),s(X1,X6)))))=s(X1,X6))),file('i/f/pred_set/BIJ__LINV__INV', ah4s_predu_u_sets_LINVu_u_DEF)).
fof(25, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_predu_u_sets_bij(s(t_fun(X1,X2),X5),s(t_fun(X1,t_bool),X4),s(t_fun(X2,t_bool),X3))))<=>(p(s(t_bool,h4s_predu_u_sets_inj(s(t_fun(X1,X2),X5),s(t_fun(X1,t_bool),X4),s(t_fun(X2,t_bool),X3))))&p(s(t_bool,h4s_predu_u_sets_surj(s(t_fun(X1,X2),X5),s(t_fun(X1,t_bool),X4),s(t_fun(X2,t_bool),X3)))))),file('i/f/pred_set/BIJ__LINV__INV', ah4s_predu_u_sets_BIJu_u_DEF)).
fof(34, axiom,p(s(t_bool,t0)),file('i/f/pred_set/BIJ__LINV__INV', aHLu_TRUTH)).
fof(38, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t0)<=>p(s(t_bool,X3))),file('i/f/pred_set/BIJ__LINV__INV', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
