# 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/util_prob/EQ__SUBSET__SUBSET', ch4s_utilu_u_probs_EQu_u_SUBSETu_u_SUBSET)).
fof(2, axiom,p(s(t_bool,t0)),file('i/f/util_prob/EQ__SUBSET__SUBSET', aHLu_TRUTH)).
fof(11, 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))))<=>![X4]:(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X3))))=>p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X2)))))),file('i/f/util_prob/EQ__SUBSET__SUBSET', ah4s_predu_u_sets_SUBSETu_u_DEF)).
fof(14, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t0)|s(t_bool,X2)=s(t_bool,f)),file('i/f/util_prob/EQ__SUBSET__SUBSET', aHLu_BOOLu_CASES)).
fof(15, axiom,~(p(s(t_bool,f))),file('i/f/util_prob/EQ__SUBSET__SUBSET', aHLu_FALSITY)).
# SZS output end CNFRefutation
