# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:~(s(t_h4s_sptrees_spt(X1),happ(s(t_fun(X1,t_h4s_sptrees_spt(X1)),h4s_sptrees_ls),s(X1,X4)))=s(t_h4s_sptrees_spt(X1),happ(s(t_fun(t_h4s_sptrees_spt(X1),t_h4s_sptrees_spt(X1)),happ(s(t_fun(t_h4s_sptrees_spt(X1),t_fun(t_h4s_sptrees_spt(X1),t_h4s_sptrees_spt(X1))),h4s_sptrees_bn),s(t_h4s_sptrees_spt(X1),X3))),s(t_h4s_sptrees_spt(X1),X2)))),file('i/f/sptree/spt__distinct_c3', ch4s_sptrees_sptu_u_distinctu_c3)).
fof(33, axiom,![X1]:![X2]:![X3]:~(s(t_h4s_sptrees_spt(X1),h4s_sptrees_ln)=s(t_h4s_sptrees_spt(X1),happ(s(t_fun(t_h4s_sptrees_spt(X1),t_h4s_sptrees_spt(X1)),happ(s(t_fun(t_h4s_sptrees_spt(X1),t_fun(t_h4s_sptrees_spt(X1),t_h4s_sptrees_spt(X1))),h4s_sptrees_bn),s(t_h4s_sptrees_spt(X1),X3))),s(t_h4s_sptrees_spt(X1),X2)))),file('i/f/sptree/spt__distinct_c3', ah4s_sptrees_sptu_u_distinctu_c1)).
fof(38, axiom,![X1]:![X30]:![X29]:![X26]:![X2]:![X27]:![X3]:(s(t_h4s_sptrees_spt(X1),happ(s(t_fun(t_h4s_sptrees_spt(X1),t_h4s_sptrees_spt(X1)),happ(s(t_fun(X1,t_fun(t_h4s_sptrees_spt(X1),t_h4s_sptrees_spt(X1))),happ(s(t_fun(t_h4s_sptrees_spt(X1),t_fun(X1,t_fun(t_h4s_sptrees_spt(X1),t_h4s_sptrees_spt(X1)))),h4s_sptrees_bs),s(t_h4s_sptrees_spt(X1),X3))),s(X1,X2))),s(t_h4s_sptrees_spt(X1),X29)))=s(t_h4s_sptrees_spt(X1),happ(s(t_fun(t_h4s_sptrees_spt(X1),t_h4s_sptrees_spt(X1)),happ(s(t_fun(X1,t_fun(t_h4s_sptrees_spt(X1),t_h4s_sptrees_spt(X1))),happ(s(t_fun(t_h4s_sptrees_spt(X1),t_fun(X1,t_fun(t_h4s_sptrees_spt(X1),t_h4s_sptrees_spt(X1)))),h4s_sptrees_bs),s(t_h4s_sptrees_spt(X1),X27))),s(X1,X26))),s(t_h4s_sptrees_spt(X1),X30)))<=>(s(t_h4s_sptrees_spt(X1),X3)=s(t_h4s_sptrees_spt(X1),X27)&(s(X1,X2)=s(X1,X26)&s(t_h4s_sptrees_spt(X1),X29)=s(t_h4s_sptrees_spt(X1),X30)))),file('i/f/sptree/spt__distinct_c3', ah4s_sptrees_sptu_u_11u_c2)).
fof(39, axiom,![X1]:s(t_fun(t_h4s_sptrees_spt(X1),t_fun(t_h4s_sptrees_spt(X1),t_h4s_sptrees_spt(X1))),h4s_sptrees_bn)=s(t_fun(t_h4s_sptrees_spt(X1),t_fun(t_h4s_sptrees_spt(X1),t_h4s_sptrees_spt(X1))),h4s_sptrees_u_20u_40indu_u_typesptree2),file('i/f/sptree/spt__distinct_c3', ah4s_sptrees_BN0)).
fof(42, axiom,![X12]:![X1]:![X32]:![X33]:![X34]:![X7]:![X2]:![X3]:s(X12,h4s_sptrees_sptu_u_case(s(t_h4s_sptrees_spt(X1),happ(s(t_fun(t_h4s_sptrees_spt(X1),t_h4s_sptrees_spt(X1)),happ(s(t_fun(t_h4s_sptrees_spt(X1),t_fun(t_h4s_sptrees_spt(X1),t_h4s_sptrees_spt(X1))),h4s_sptrees_bn),s(t_h4s_sptrees_spt(X1),X3))),s(t_h4s_sptrees_spt(X1),X2))),s(X12,X32),s(t_fun(X1,X12),X7),s(t_fun(t_h4s_sptrees_spt(X1),t_fun(t_h4s_sptrees_spt(X1),X12)),X34),s(t_fun(t_h4s_sptrees_spt(X1),t_fun(X1,t_fun(t_h4s_sptrees_spt(X1),X12))),X33)))=s(X12,happ(s(t_fun(t_h4s_sptrees_spt(X1),X12),happ(s(t_fun(t_h4s_sptrees_spt(X1),t_fun(t_h4s_sptrees_spt(X1),X12)),X34),s(t_h4s_sptrees_spt(X1),X3))),s(t_h4s_sptrees_spt(X1),X2))),file('i/f/sptree/spt__distinct_c3', ah4s_sptrees_sptu_u_caseu_u_defu_c2)).
fof(43, axiom,![X1]:s(t_fun(X1,t_h4s_sptrees_spt(X1)),h4s_sptrees_ls)=s(t_fun(X1,t_h4s_sptrees_spt(X1)),h4s_sptrees_u_20u_40indu_u_typesptree1),file('i/f/sptree/spt__distinct_c3', ah4s_sptrees_LS0)).
fof(45, axiom,![X12]:![X1]:![X32]:![X33]:![X34]:![X7]:![X4]:s(X12,h4s_sptrees_sptu_u_case(s(t_h4s_sptrees_spt(X1),happ(s(t_fun(X1,t_h4s_sptrees_spt(X1)),h4s_sptrees_ls),s(X1,X4))),s(X12,X32),s(t_fun(X1,X12),X7),s(t_fun(t_h4s_sptrees_spt(X1),t_fun(t_h4s_sptrees_spt(X1),X12)),X34),s(t_fun(t_h4s_sptrees_spt(X1),t_fun(X1,t_fun(t_h4s_sptrees_spt(X1),X12))),X33)))=s(X12,happ(s(t_fun(X1,X12),X7),s(X1,X4))),file('i/f/sptree/spt__distinct_c3', ah4s_sptrees_sptu_u_caseu_u_defu_c1)).
fof(59, axiom,![X1]:s(t_h4s_sptrees_spt(X1),h4s_sptrees_ln)=s(t_h4s_sptrees_spt(X1),h4s_sptrees_u_20u_40indu_u_typesptree0),file('i/f/sptree/spt__distinct_c3', ah4s_sptrees_LN0)).
fof(62, axiom,![X1]:s(t_fun(t_h4s_sptrees_spt(X1),t_fun(X1,t_fun(t_h4s_sptrees_spt(X1),t_h4s_sptrees_spt(X1)))),h4s_sptrees_bs)=s(t_fun(t_h4s_sptrees_spt(X1),t_fun(X1,t_fun(t_h4s_sptrees_spt(X1),t_h4s_sptrees_spt(X1)))),h4s_sptrees_u_20u_40indu_u_typesptree3),file('i/f/sptree/spt__distinct_c3', ah4s_sptrees_BS0)).
# SZS output end CNFRefutation
