# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:p(s(t_bool,h4s_relations_transitive(s(t_fun(X1,t_fun(X1,t_bool)),h4s_primu_u_recs_measure(s(t_fun(X1,t_h4s_nums_num),X2)))))),file('i/f/arithmetic/transitive__measure', ch4s_arithmetics_transitiveu_u_measure)).
fof(5, axiom,![X1]:![X10]:(p(s(t_bool,h4s_relations_transitive(s(t_fun(X1,t_fun(X1,t_bool)),X10))))<=>![X9]:![X7]:![X11]:((p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X10),s(X1,X9))),s(X1,X7))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X10),s(X1,X7))),s(X1,X11)))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X10),s(X1,X9))),s(X1,X11)))))),file('i/f/arithmetic/transitive__measure', ah4s_relations_transitiveu_u_def)).
fof(6, axiom,![X1]:![X7]:![X9]:![X2]:s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),h4s_primu_u_recs_measure(s(t_fun(X1,t_h4s_nums_num),X2))),s(X1,X9))),s(X1,X7)))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,happ(s(t_fun(X1,t_h4s_nums_num),X2),s(X1,X9))),s(t_h4s_nums_num,happ(s(t_fun(X1,t_h4s_nums_num),X2),s(X1,X7))))),file('i/f/arithmetic/transitive__measure', ah4s_primu_u_recs_measureu_u_thm)).
fof(8, axiom,![X15]:![X16]:![X17]:((p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X16))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X15)))))=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X15))))),file('i/f/arithmetic/transitive__measure', ah4s_arithmetics_LESSu_u_TRANS)).
# SZS output end CNFRefutation
