# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_utilu_u_probs_schroederu_u_close(s(t_fun(X1,X1),X4),s(t_fun(X1,t_bool),X3))))))<=>?[X5]:p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_arithmetics_funpow(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),h4s_predu_u_sets_image(s(t_fun(X1,X1),X4))),s(t_h4s_nums_num,X5),s(t_fun(X1,t_bool),X3))))))),file('i/f/util_prob/SCHROEDER__CLOSE', ch4s_utilu_u_probs_SCHROEDERu_u_CLOSE)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/util_prob/SCHROEDER__CLOSE', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/util_prob/SCHROEDER__CLOSE', aHLu_FALSITY)).
fof(6, axiom,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),h4s_utilu_u_probs_schroederu_u_close(s(t_fun(X1,X1),X4),s(t_fun(X1,t_bool),X3))),s(X1,X2))))<=>?[X5]:p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_arithmetics_funpow(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),h4s_predu_u_sets_image(s(t_fun(X1,X1),X4))),s(t_h4s_nums_num,X5),s(t_fun(X1,t_bool),X3))))))),file('i/f/util_prob/SCHROEDER__CLOSE', ah4s_utilu_u_probs_schroederu_u_closeu_u_def)).
fof(7, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f0)),file('i/f/util_prob/SCHROEDER__CLOSE', aHLu_BOOLu_CASES)).
fof(9, axiom,![X1]:![X2]:![X10]:s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X10)))=s(t_bool,happ(s(t_fun(X1,t_bool),X10),s(X1,X2))),file('i/f/util_prob/SCHROEDER__CLOSE', ah4s_predu_u_sets_SPECIFICATION)).
# SZS output end CNFRefutation
