# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1))))))<=>(s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,X1)|p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))))),file('i/f/prim_rec/LESS__THM', ch4s_primu_u_recs_LESSu_u_THM)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/prim_rec/LESS__THM', aHLu_FALSITY)).
fof(4, axiom,![X3]:![X4]:((p(s(t_bool,X4))=>p(s(t_bool,X3)))=>((p(s(t_bool,X3))=>p(s(t_bool,X4)))=>s(t_bool,X4)=s(t_bool,X3))),file('i/f/prim_rec/LESS__THM', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(5, axiom,![X1]:![X2]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1))))))=>(s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,X1)|p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))))),file('i/f/prim_rec/LESS__THM', ah4s_primu_u_recs_LESSu_u_LEMMA1)).
fof(6, axiom,![X1]:![X2]:((s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,X1)|p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))))=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1))))))),file('i/f/prim_rec/LESS__THM', ah4s_primu_u_recs_LESSu_u_LEMMA2)).
# SZS output end CNFRefutation
