# 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_psubset(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X3))))&p(s(t_bool,h4s_predu_u_sets_psubset(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2)))))=>p(s(t_bool,h4s_predu_u_sets_psubset(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X2))))),file('i/f/pred_set/PSUBSET__TRANS', ch4s_predu_u_sets_PSUBSETu_u_TRANS)).
fof(2, axiom,p(s(t_bool,t0)),file('i/f/pred_set/PSUBSET__TRANS', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/PSUBSET__TRANS', aHLu_FALSITY)).
fof(6, axiom,![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/PSUBSET__TRANS', ah4s_predu_u_sets_SUBSETu_u_TRANS)).
fof(7, 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))))&p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X4)))))=>s(t_fun(X1,t_bool),X4)=s(t_fun(X1,t_bool),X3)),file('i/f/pred_set/PSUBSET__TRANS', ah4s_predu_u_sets_SUBSETu_u_ANTISYM)).
fof(8, axiom,![X1]:![X3]:![X4]:(p(s(t_bool,h4s_predu_u_sets_psubset(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),X4),s(t_fun(X1,t_bool),X3))))&~(s(t_fun(X1,t_bool),X4)=s(t_fun(X1,t_bool),X3)))),file('i/f/pred_set/PSUBSET__TRANS', ah4s_predu_u_sets_PSUBSETu_u_DEF)).
fof(9, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t0)|s(t_bool,X3)=s(t_bool,f)),file('i/f/pred_set/PSUBSET__TRANS', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
