# 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,f))),file('i/f/util_prob/IN__EQ__UNIV__IMP', aHLu_FALSITY)).
fof(5, axiom,![X1]:![X2]:(![X4]:p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X2))))<=>s(t_fun(X1,t_bool),X2)=s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)),file('i/f/util_prob/IN__EQ__UNIV__IMP', ah4s_predu_u_sets_EQu_u_UNIV)).
fof(10, axiom,![X5]:(s(t_bool,f)=s(t_bool,X5)<=>~(p(s(t_bool,X5)))),file('i/f/util_prob/IN__EQ__UNIV__IMP', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(53, axiom,![X1]:![X4]:![X13]:s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X13)))=s(t_bool,happ(s(t_fun(X1,t_bool),X13),s(X1,X4))),file('i/f/util_prob/IN__EQ__UNIV__IMP', ah4s_predu_u_sets_SPECIFICATION)).
# SZS output end CNFRefutation
