# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X2))))=>![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_finite(s(t_fun(X1,t_bool),X3)))))),file('i/f/pred_set/PSUBSET__FINITE', ch4s_predu_u_sets_PSUBSETu_u_FINITE)).
fof(2, axiom,p(s(t_bool,t0)),file('i/f/pred_set/PSUBSET__FINITE', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/PSUBSET__FINITE', aHLu_FALSITY)).
fof(4, axiom,![X1]:![X3]:![X2]:(p(s(t_bool,h4s_predu_u_sets_psubset(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X3))))<=>(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X3))))&~(s(t_fun(X1,t_bool),X2)=s(t_fun(X1,t_bool),X3)))),file('i/f/pred_set/PSUBSET__FINITE', ah4s_predu_u_sets_PSUBSETu_u_DEF)).
fof(5, axiom,![X1]:![X2]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X2))))=>![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_finite(s(t_fun(X1,t_bool),X3)))))),file('i/f/pred_set/PSUBSET__FINITE', ah4s_predu_u_sets_SUBSETu_u_FINITE)).
fof(6, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t0)|s(t_bool,X3)=s(t_bool,f)),file('i/f/pred_set/PSUBSET__FINITE', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
