# 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(2, axiom,p(s(t_bool,t)),file('i/f/pred_set/SET__EQ__SUBSET', aHLu_TRUTH)).
fof(11, axiom,![X1]:![X6]:![X12]:((p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X12),s(t_fun(X1,t_bool),X6))))&p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X6),s(t_fun(X1,t_bool),X12)))))=>s(t_fun(X1,t_bool),X12)=s(t_fun(X1,t_bool),X6)),file('i/f/pred_set/SET__EQ__SUBSET', ah4s_predu_u_sets_SUBSETu_u_ANTISYM)).
fof(13, axiom,![X1]:![X6]:![X12]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X12),s(t_fun(X1,t_bool),X6))))<=>![X7]:(p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X12))))=>p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X6)))))),file('i/f/pred_set/SET__EQ__SUBSET', ah4s_predu_u_sets_SUBSETu_u_DEF)).
fof(15, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/pred_set/SET__EQ__SUBSET', aHLu_BOOLu_CASES)).
fof(16, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/SET__EQ__SUBSET', aHLu_FALSITY)).
# SZS output end CNFRefutation
