# 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_subset(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X3))))&p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2)))))=>p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X2))))),file('i/f/pred_set/SUBSET__TRANS', ch4s_predu_u_sets_SUBSETu_u_TRANS)).
fof(2, axiom,p(s(t_bool,t0)),file('i/f/pred_set/SUBSET__TRANS', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/SUBSET__TRANS', aHLu_FALSITY)).
fof(4, axiom,![X1]:![X3]:![X4]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X3))))<=>![X5]:(p(s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),X4))))=>p(s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),X3)))))),file('i/f/pred_set/SUBSET__TRANS', ah4s_predu_u_sets_SUBSETu_u_DEF)).
fof(5, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t0)|s(t_bool,X3)=s(t_bool,f)),file('i/f/pred_set/SUBSET__TRANS', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
