# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/arithmetic/transitive__LESS', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/arithmetic/transitive__LESS', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/arithmetic/transitive__LESS', aHLu_BOOLu_CASES)).
fof(7, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/arithmetic/transitive__LESS', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(9, axiom,![X9]:![X10]:(p(s(t_bool,h4s_relations_transitive(s(t_fun(X9,t_fun(X9,t_bool)),X10))))<=>![X6]:![X11]:![X12]:((p(s(t_bool,happ(s(t_fun(X9,t_bool),happ(s(t_fun(X9,t_fun(X9,t_bool)),X10),s(X9,X6))),s(X9,X11))))&p(s(t_bool,happ(s(t_fun(X9,t_bool),happ(s(t_fun(X9,t_fun(X9,t_bool)),X10),s(X9,X11))),s(X9,X12)))))=>p(s(t_bool,happ(s(t_fun(X9,t_bool),happ(s(t_fun(X9,t_fun(X9,t_bool)),X10),s(X9,X6))),s(X9,X12)))))),file('i/f/arithmetic/transitive__LESS', ah4s_relations_transitiveu_u_def)).
fof(80, axiom,![X13]:![X14]:s(t_bool,h4s_arithmetics_u_3e(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X13)))=s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c),s(t_h4s_nums_num,X13))),s(t_h4s_nums_num,X14))),file('i/f/arithmetic/transitive__LESS', ah4s_arithmetics_GREATERu_u_DEF)).
fof(104, axiom,![X21]:![X13]:![X14]:((p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c),s(t_h4s_nums_num,X14))),s(t_h4s_nums_num,X13))))&p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c),s(t_h4s_nums_num,X13))),s(t_h4s_nums_num,X21)))))=>p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c),s(t_h4s_nums_num,X14))),s(t_h4s_nums_num,X21))))),file('i/f/arithmetic/transitive__LESS', ah4s_arithmetics_LESSu_u_TRANS)).
fof(133, conjecture,p(s(t_bool,h4s_relations_transitive(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c)))),file('i/f/arithmetic/transitive__LESS', ch4s_arithmetics_transitiveu_u_LESS)).
# SZS output end CNFRefutation
