# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(s(t_fun(X1,t_bool),X2)=s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)=>![X3]:p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X2))))),file('i/f/util_prob/IN__EQ__UNIV__IMP', ch4s_utilu_u_probs_INu_u_EQu_u_UNIVu_u_IMP)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/util_prob/IN__EQ__UNIV__IMP', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/util_prob/IN__EQ__UNIV__IMP', aHLu_FALSITY)).
fof(10, axiom,![X1]:![X5]:p(s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)))),file('i/f/util_prob/IN__EQ__UNIV__IMP', ah4s_predu_u_sets_INu_u_UNIV)).
fof(13, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/util_prob/IN__EQ__UNIV__IMP', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
