# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),h4s_utilu_u_probs_preimage(s(t_fun(X1,X1),h4s_combins_i)))=s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),h4s_combins_i),file('i/f/util_prob/PREIMAGE__I', ch4s_utilu_u_probs_PREIMAGEu_u_I)).
fof(3, axiom,![X1]:![X3]:s(X1,happ(s(t_fun(X1,X1),h4s_combins_i),s(X1,X3)))=s(X1,X3),file('i/f/util_prob/PREIMAGE__I', ah4s_combins_Iu_u_THM)).
fof(4, axiom,![X1]:![X4]:![X5]:s(t_fun(X1,X4),h4s_combins_o(s(t_fun(X1,X4),X5),s(t_fun(X1,X1),h4s_combins_i)))=s(t_fun(X1,X4),X5),file('i/f/util_prob/PREIMAGE__I', ah4s_combins_Iu_u_ou_u_IDu_c1)).
fof(5, axiom,![X6]:![X7]:![X5]:![X8]:(![X3]:s(X7,happ(s(t_fun(X6,X7),X5),s(X6,X3)))=s(X7,happ(s(t_fun(X6,X7),X8),s(X6,X3)))=>s(t_fun(X6,X7),X5)=s(t_fun(X6,X7),X8)),file('i/f/util_prob/PREIMAGE__I', aHLu_EXT)).
fof(35, axiom,![X1]:![X4]:![X27]:![X5]:s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X4,t_bool),t_fun(X1,t_bool)),h4s_utilu_u_probs_preimage(s(t_fun(X1,X4),X5))),s(t_fun(X4,t_bool),X27)))=s(t_fun(X1,t_bool),h4s_combins_o(s(t_fun(X4,t_bool),X27),s(t_fun(X1,X4),X5))),file('i/f/util_prob/PREIMAGE__I', ah4s_utilu_u_probs_PREIMAGEu_u_ALT)).
# SZS output end CNFRefutation
