# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(~(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)))))<=>![X2]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X2))))=>p(s(t_bool,h4s_predu_u_sets_psubset(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)))))),file('i/f/pred_set/FINITE__PSUBSET__UNIV', ch4s_predu_u_sets_FINITEu_u_PSUBSETu_u_UNIV)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/FINITE__PSUBSET__UNIV', aHLu_FALSITY)).
fof(12, axiom,![X5]:(s(t_bool,f)=s(t_bool,X5)<=>~(p(s(t_bool,X5)))),file('i/f/pred_set/FINITE__PSUBSET__UNIV', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(41, axiom,![X1]:![X2]:(p(s(t_bool,h4s_predu_u_sets_psubset(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_univ))))<=>?[X12]:~(p(s(t_bool,h4s_bools_in(s(X1,X12),s(t_fun(X1,t_bool),X2)))))),file('i/f/pred_set/FINITE__PSUBSET__UNIV', ah4s_predu_u_sets_PSUBSETu_u_UNIV)).
fof(43, axiom,![X1]:![X2]:~(p(s(t_bool,h4s_predu_u_sets_psubset(s(t_fun(X1,t_bool),h4s_predu_u_sets_univ),s(t_fun(X1,t_bool),X2))))),file('i/f/pred_set/FINITE__PSUBSET__UNIV', ah4s_predu_u_sets_NOTu_u_UNIVu_u_PSUBSET)).
fof(53, axiom,![X1]:(~(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)))))<=>![X2]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X2))))=>?[X12]:~(p(s(t_bool,h4s_bools_in(s(X1,X12),s(t_fun(X1,t_bool),X2))))))),file('i/f/pred_set/FINITE__PSUBSET__UNIV', ah4s_predu_u_sets_NOTu_u_INu_u_FINITE)).
fof(55, axiom,![X1]:![X2]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)))),file('i/f/pred_set/FINITE__PSUBSET__UNIV', ah4s_predu_u_sets_SUBSETu_u_UNIV)).
fof(60, axiom,![X1]:![X2]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X2))))=>![X5]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X5),s(t_fun(X1,t_bool),X2))))=>p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X5)))))),file('i/f/pred_set/FINITE__PSUBSET__UNIV', ah4s_predu_u_sets_SUBSETu_u_FINITE)).
fof(69, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/pred_set/FINITE__PSUBSET__UNIV', aHLu_BOOLu_CASES)).
fof(70, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/pred_set/FINITE__PSUBSET__UNIV', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
