# 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))))&p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X4)))))=>p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X2,t_bool),X3))))),file('i/f/pred_set/BIJ__FINITE', ch4s_predu_u_sets_BIJu_u_FINITE)).
fof(8, axiom,![X13]:![X14]:((p(s(t_bool,X14))=>p(s(t_bool,X13)))=>((p(s(t_bool,X13))=>p(s(t_bool,X14)))=>s(t_bool,X14)=s(t_bool,X13))),file('i/f/pred_set/BIJ__FINITE', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(50, 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))))&p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X2,t_bool),X3)))))=>p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X4))))),file('i/f/pred_set/BIJ__FINITE', ah4s_predu_u_sets_FINITEu_u_INJ)).
fof(60, 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__FINITE', ah4s_predu_u_sets_BIJu_u_DEF)).
fof(66, axiom,![X2]:![X1]:![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_bij(s(t_fun(X2,X1),h4s_predu_u_sets_linv(s(t_fun(X1,X2),X5),s(t_fun(X1,t_bool),X4))),s(t_fun(X2,t_bool),X3),s(t_fun(X1,t_bool),X4))))),file('i/f/pred_set/BIJ__FINITE', ah4s_predu_u_sets_BIJu_u_LINVu_u_BIJ)).
# SZS output end CNFRefutation
