# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:s(X1,h4s_primu_u_recs_primu_u_rec(s(X1,X2),s(t_fun(X1,t_fun(t_h4s_nums_num,X1)),X4),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3)))))=s(X1,happ(s(t_fun(t_h4s_nums_num,X1),happ(s(t_fun(X1,t_fun(t_h4s_nums_num,X1)),X4),s(X1,h4s_primu_u_recs_primu_u_rec(s(X1,X2),s(t_fun(X1,t_fun(t_h4s_nums_num,X1)),X4),s(t_h4s_nums_num,X3))))),s(t_h4s_nums_num,X3))),file('i/f/prim_rec/PRIM__REC__THM_c1', ch4s_primu_u_recs_PRIMu_u_RECu_u_THMu_c1)).
fof(34, axiom,![X1]:![X2]:![X3]:![X4]:s(X1,h4s_primu_u_recs_primu_u_rec(s(X1,X2),s(t_fun(X1,t_fun(t_h4s_nums_num,X1)),X4),s(t_h4s_nums_num,X3)))=s(X1,happ(s(t_fun(t_h4s_nums_num,X1),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,X1)),h4s_primu_u_recs_primu_u_recu_u_fun(s(X1,X2),s(t_fun(X1,t_fun(t_h4s_nums_num,X1)),X4))),s(t_h4s_nums_num,X3))),s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,X3))))),file('i/f/prim_rec/PRIM__REC__THM_c1', ah4s_primu_u_recs_PRIMu_u_REC0)).
fof(52, axiom,![X1]:![X2]:![X24]:![X3]:![X4]:s(X1,happ(s(t_fun(t_h4s_nums_num,X1),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,X1)),h4s_primu_u_recs_primu_u_recu_u_fun(s(X1,X2),s(t_fun(X1,t_fun(t_h4s_nums_num,X1)),X4))),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3))))),s(t_h4s_nums_num,X24)))=s(X1,happ(s(t_fun(t_h4s_nums_num,X1),happ(s(t_fun(X1,t_fun(t_h4s_nums_num,X1)),X4),s(X1,happ(s(t_fun(t_h4s_nums_num,X1),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,X1)),h4s_primu_u_recs_primu_u_recu_u_fun(s(X1,X2),s(t_fun(X1,t_fun(t_h4s_nums_num,X1)),X4))),s(t_h4s_nums_num,X3))),s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,X24))))))),s(t_h4s_nums_num,X24))),file('i/f/prim_rec/PRIM__REC__THM_c1', ah4s_primu_u_recs_PRIMu_u_RECu_u_EQNu_c1)).
fof(53, axiom,![X3]:s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3)))))=s(t_h4s_nums_num,X3),file('i/f/prim_rec/PRIM__REC__THM_c1', ah4s_primu_u_recs_PRE0u_c1)).
# SZS output end CNFRefutation
