# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:![X7]:![X8]:((p(s(t_bool,h4s_predu_u_sets_bij(s(t_fun(X2,X1),X8),s(t_fun(X2,t_bool),X6),s(t_fun(X1,t_bool),X5))))&p(s(t_bool,h4s_predu_u_sets_bij(s(t_fun(X1,X3),X7),s(t_fun(X1,t_bool),X5),s(t_fun(X3,t_bool),X4)))))=>p(s(t_bool,h4s_predu_u_sets_bij(s(t_fun(X2,X3),h4s_combins_o(s(t_fun(X1,X3),X7),s(t_fun(X2,X1),X8))),s(t_fun(X2,t_bool),X6),s(t_fun(X3,t_bool),X4))))),file('i/f/pred_set/BIJ__COMPOSE', ch4s_predu_u_sets_BIJu_u_COMPOSE)).
fof(2, axiom,p(s(t_bool,t0)),file('i/f/pred_set/BIJ__COMPOSE', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/pred_set/BIJ__COMPOSE', aHLu_FALSITY)).
fof(4, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:![X7]:![X8]:((p(s(t_bool,h4s_predu_u_sets_inj(s(t_fun(X2,X1),X8),s(t_fun(X2,t_bool),X6),s(t_fun(X1,t_bool),X5))))&p(s(t_bool,h4s_predu_u_sets_inj(s(t_fun(X1,X3),X7),s(t_fun(X1,t_bool),X5),s(t_fun(X3,t_bool),X4)))))=>p(s(t_bool,h4s_predu_u_sets_inj(s(t_fun(X2,X3),h4s_combins_o(s(t_fun(X1,X3),X7),s(t_fun(X2,X1),X8))),s(t_fun(X2,t_bool),X6),s(t_fun(X3,t_bool),X4))))),file('i/f/pred_set/BIJ__COMPOSE', ah4s_predu_u_sets_INJu_u_COMPOSE)).
fof(5, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:![X7]:![X8]:((p(s(t_bool,h4s_predu_u_sets_surj(s(t_fun(X2,X1),X8),s(t_fun(X2,t_bool),X6),s(t_fun(X1,t_bool),X5))))&p(s(t_bool,h4s_predu_u_sets_surj(s(t_fun(X1,X3),X7),s(t_fun(X1,t_bool),X5),s(t_fun(X3,t_bool),X4)))))=>p(s(t_bool,h4s_predu_u_sets_surj(s(t_fun(X2,X3),h4s_combins_o(s(t_fun(X1,X3),X7),s(t_fun(X2,X1),X8))),s(t_fun(X2,t_bool),X6),s(t_fun(X3,t_bool),X4))))),file('i/f/pred_set/BIJ__COMPOSE', ah4s_predu_u_sets_SURJu_u_COMPOSE)).
fof(6, axiom,![X2]:![X1]:![X5]:![X6]:![X8]:(p(s(t_bool,h4s_predu_u_sets_bij(s(t_fun(X2,X1),X8),s(t_fun(X2,t_bool),X6),s(t_fun(X1,t_bool),X5))))<=>(p(s(t_bool,h4s_predu_u_sets_inj(s(t_fun(X2,X1),X8),s(t_fun(X2,t_bool),X6),s(t_fun(X1,t_bool),X5))))&p(s(t_bool,h4s_predu_u_sets_surj(s(t_fun(X2,X1),X8),s(t_fun(X2,t_bool),X6),s(t_fun(X1,t_bool),X5)))))),file('i/f/pred_set/BIJ__COMPOSE', ah4s_predu_u_sets_BIJu_u_DEF)).
fof(7, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t0)|s(t_bool,X5)=s(t_bool,f0)),file('i/f/pred_set/BIJ__COMPOSE', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
