# 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_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_predu_u_sets_surj(s(t_fun(X1,X2),X6),s(t_fun(X1,t_bool),X4),s(t_fun(X2,t_bool),X3)))))=>?[X7]:p(s(t_bool,h4s_predu_u_sets_bij(s(t_fun(X1,X2),X7),s(t_fun(X1,t_bool),X4),s(t_fun(X2,t_bool),X3))))),file('i/f/util_prob/BIJ__INJ__SURJ', ch4s_utilu_u_probs_BIJu_u_INJu_u_SURJ)).
fof(2, axiom,~(p(s(t_bool,f0))),file('i/f/util_prob/BIJ__INJ__SURJ', aHLu_FALSITY)).
fof(19, axiom,![X1]:![X2]:![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_predu_u_sets_inj(s(t_fun(X2,X1),X6),s(t_fun(X2,t_bool),X3),s(t_fun(X1,t_bool),X4)))))=>?[X7]:p(s(t_bool,h4s_predu_u_sets_bij(s(t_fun(X1,X2),X7),s(t_fun(X1,t_bool),X4),s(t_fun(X2,t_bool),X3))))),file('i/f/util_prob/BIJ__INJ__SURJ', ah4s_utilu_u_probs_SCHROEDERu_u_BERNSTEIN)).
fof(25, axiom,![X2]:![X1]:![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_predu_u_sets_inj(s(t_fun(X2,X1),X6),s(t_fun(X2,t_bool),X3),s(t_fun(X1,t_bool),X4))))),file('i/f/util_prob/BIJ__INJ__SURJ', ah4s_utilu_u_probs_SURJu_u_IMPu_u_INJ)).
fof(26, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t0)|s(t_bool,X3)=s(t_bool,f0)),file('i/f/util_prob/BIJ__INJ__SURJ', aHLu_BOOLu_CASES)).
fof(27, axiom,p(s(t_bool,t0)),file('i/f/util_prob/BIJ__INJ__SURJ', aHLu_TRUTH)).
fof(29, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t0)<=>p(s(t_bool,X3))),file('i/f/util_prob/BIJ__INJ__SURJ', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
