# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_predu_u_sets_bij(s(t_fun(X2,X1),X4),s(t_fun(X2,t_bool),X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))<=>s(t_fun(X2,t_bool),X3)=s(t_fun(X2,t_bool),h4s_predu_u_sets_empty)),file('i/f/pred_set/BIJ__EMPTY_c1', ch4s_predu_u_sets_BIJu_u_EMPTYu_c1)).
fof(32, axiom,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_predu_u_sets_surj(s(t_fun(X2,X1),X4),s(t_fun(X2,t_bool),X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))<=>s(t_fun(X2,t_bool),X3)=s(t_fun(X2,t_bool),h4s_predu_u_sets_empty)),file('i/f/pred_set/BIJ__EMPTY_c1', ah4s_predu_u_sets_SURJu_u_EMPTYu_c1)).
fof(33, axiom,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_predu_u_sets_inj(s(t_fun(X2,X1),X4),s(t_fun(X2,t_bool),X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))<=>s(t_fun(X2,t_bool),X3)=s(t_fun(X2,t_bool),h4s_predu_u_sets_empty)),file('i/f/pred_set/BIJ__EMPTY_c1', ah4s_predu_u_sets_INJu_u_EMPTYu_c1)).
fof(39, axiom,![X2]:![X1]:![X5]:![X3]:![X4]:(p(s(t_bool,h4s_predu_u_sets_bij(s(t_fun(X2,X1),X4),s(t_fun(X2,t_bool),X3),s(t_fun(X1,t_bool),X5))))<=>(p(s(t_bool,h4s_predu_u_sets_inj(s(t_fun(X2,X1),X4),s(t_fun(X2,t_bool),X3),s(t_fun(X1,t_bool),X5))))&p(s(t_bool,h4s_predu_u_sets_surj(s(t_fun(X2,X1),X4),s(t_fun(X2,t_bool),X3),s(t_fun(X1,t_bool),X5)))))),file('i/f/pred_set/BIJ__EMPTY_c1', ah4s_predu_u_sets_BIJu_u_DEF)).
# SZS output end CNFRefutation
