# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X1))))),file('i/f/prim_rec/LESS__REFL', ch4s_primu_u_recs_LESSu_u_REFL)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/prim_rec/LESS__REFL', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/prim_rec/LESS__REFL', aHLu_FALSITY)).
fof(11, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/prim_rec/LESS__REFL', aHLu_BOOLu_CASES)).
fof(12, axiom,![X1]:![X7]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X1))))<=>?[X8]:(![X9]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X8),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X9))))))=>p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X8),s(t_h4s_nums_num,X9)))))&(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X8),s(t_h4s_nums_num,X7))))&~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X8),s(t_h4s_nums_num,X1)))))))),file('i/f/prim_rec/LESS__REFL', ah4s_primu_u_recs_LESSu_u_DEF)).
# SZS output end CNFRefutation
