# 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,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1)))))))),file('i/f/prim_rec/LESS__SUC__SUC_c1', ch4s_primu_u_recs_LESSu_u_SUCu_u_SUCu_c1)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/prim_rec/LESS__SUC__SUC_c1', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/prim_rec/LESS__SUC__SUC_c1', aHLu_FALSITY)).
fof(9, axiom,![X5]:![X1]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X5))))))<=>(s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,X5)|p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X5)))))),file('i/f/prim_rec/LESS__SUC__SUC_c1', ah4s_primu_u_recs_LESSu_u_THM)).
fof(13, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)|s(t_bool,X2)=s(t_bool,f)),file('i/f/prim_rec/LESS__SUC__SUC_c1', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
