# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_sptrees_spt(X1),h4s_sptrees_delete(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_sptrees_spt(X1),happ(s(t_fun(X1,t_h4s_sptrees_spt(X1)),h4s_sptrees_ls),s(X1,X2)))))=s(t_h4s_sptrees_spt(X1),h4s_sptrees_ln),file('i/f/sptree/delete__compute_c2', ch4s_sptrees_deleteu_u_computeu_c2)).
fof(5, axiom,![X1]:![X5]:![X2]:?[X6]:((p(s(t_bool,X6))<=>s(t_h4s_nums_num,X5)=s(t_h4s_nums_num,h4s_nums_0))&s(t_h4s_sptrees_spt(X1),h4s_sptrees_delete(s(t_h4s_nums_num,X5),s(t_h4s_sptrees_spt(X1),happ(s(t_fun(X1,t_h4s_sptrees_spt(X1)),h4s_sptrees_ls),s(X1,X2)))))=s(t_h4s_sptrees_spt(X1),h4s_bools_cond(s(t_bool,X6),s(t_h4s_sptrees_spt(X1),h4s_sptrees_ln),s(t_h4s_sptrees_spt(X1),happ(s(t_fun(X1,t_h4s_sptrees_spt(X1)),h4s_sptrees_ls),s(X1,X2)))))),file('i/f/sptree/delete__compute_c2', ah4s_sptrees_deleteu_u_defu_c1)).
fof(13, axiom,![X1]:![X17]:![X18]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X18),s(X1,X17)))=s(X1,X18),file('i/f/sptree/delete__compute_c2', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(18, axiom,![X1]:![X20]:![X4]:![X21]:![X3]:![X14]:![X15]:((s(t_bool,X15)=s(t_bool,X14)&((p(s(t_bool,X14))=>s(X1,X3)=s(X1,X21))&(~(p(s(t_bool,X14)))=>s(X1,X4)=s(X1,X20))))=>s(X1,h4s_bools_cond(s(t_bool,X15),s(X1,X3),s(X1,X4)))=s(X1,h4s_bools_cond(s(t_bool,X14),s(X1,X21),s(X1,X20)))),file('i/f/sptree/delete__compute_c2', ah4s_bools_CONDu_u_CONG)).
fof(19, axiom,![X17]:![X18]:((p(s(t_bool,X18))=>p(s(t_bool,X17)))=>((p(s(t_bool,X17))=>p(s(t_bool,X18)))=>s(t_bool,X18)=s(t_bool,X17))),file('i/f/sptree/delete__compute_c2', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
# SZS output end CNFRefutation
