# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(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))))&p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X3)))))),file('i/f/pred_set/SET__EQ__SUBSET', ch4s_predu_u_sets_SETu_u_EQu_u_SUBSET)).
fof(7, axiom,![X1]:![X4]:![X5]:((p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X5),s(t_fun(X1,t_bool),X4))))&p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X5)))))=>s(t_fun(X1,t_bool),X5)=s(t_fun(X1,t_bool),X4)),file('i/f/pred_set/SET__EQ__SUBSET', ah4s_predu_u_sets_SUBSETu_u_ANTISYM)).
fof(8, axiom,![X1]:![X5]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X5),s(t_fun(X1,t_bool),X5)))),file('i/f/pred_set/SET__EQ__SUBSET', ah4s_predu_u_sets_SUBSETu_u_REFL)).
# SZS output end CNFRefutation
