# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![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_subset(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2))))&?[X4]:(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X2))))&~(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X3)))))))),file('i/f/pred_set/PSUBSET__MEMBER', ch4s_predu_u_sets_PSUBSETu_u_MEMBER)).
fof(25, axiom,![X1]:![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))))<=>![X7]:(p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X3))))=>p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X2)))))),file('i/f/pred_set/PSUBSET__MEMBER', ah4s_predu_u_sets_SUBSETu_u_DEF)).
fof(26, axiom,![X1]:![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_subset(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X3)))))=>s(t_fun(X1,t_bool),X3)=s(t_fun(X1,t_bool),X2)),file('i/f/pred_set/PSUBSET__MEMBER', ah4s_predu_u_sets_SUBSETu_u_ANTISYM)).
fof(29, axiom,![X1]:![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_subset(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2))))&~(s(t_fun(X1,t_bool),X3)=s(t_fun(X1,t_bool),X2)))),file('i/f/pred_set/PSUBSET__MEMBER', ah4s_predu_u_sets_PSUBSETu_u_DEF)).
fof(31, axiom,![X1]:![X3]:~(p(s(t_bool,h4s_predu_u_sets_psubset(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X3))))),file('i/f/pred_set/PSUBSET__MEMBER', ah4s_predu_u_sets_PSUBSETu_u_IRREFL)).
# SZS output end CNFRefutation
