# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_sptrees_wf(s(t_h4s_sptrees_spt(X1),X2))))=>(s(t_h4s_sptrees_spt(X1),X2)=s(t_h4s_sptrees_spt(X1),h4s_sptrees_ln)<=>s(t_h4s_lists_list(X1),h4s_sptrees_tolist(s(t_h4s_sptrees_spt(X1),X2)))=s(t_h4s_lists_list(X1),h4s_lists_nil))),file('i/f/sptree/isEmpty__toList', ch4s_sptrees_isEmptyu_u_toList)).
fof(30, axiom,![X1]:![X25]:s(t_h4s_lists_list(X1),h4s_sptrees_tolist(s(t_h4s_sptrees_spt(X1),X25)))=s(t_h4s_lists_list(X1),h4s_sptrees_tolista(s(t_h4s_lists_list(X1),h4s_lists_nil),s(t_h4s_sptrees_spt(X1),X25))),file('i/f/sptree/isEmpty__toList', ah4s_sptrees_toListu_u_def)).
fof(34, axiom,![X1]:![X2]:![X31]:(p(s(t_bool,h4s_sptrees_wf(s(t_h4s_sptrees_spt(X1),X2))))=>(s(t_h4s_sptrees_spt(X1),X2)=s(t_h4s_sptrees_spt(X1),h4s_sptrees_ln)<=>s(t_h4s_lists_list(X1),h4s_sptrees_tolista(s(t_h4s_lists_list(X1),X31),s(t_h4s_sptrees_spt(X1),X2)))=s(t_h4s_lists_list(X1),X31))),file('i/f/sptree/isEmpty__toList', ah4s_sptrees_isEmptyu_u_toListA)).
fof(41, axiom,![X1]:![X31]:s(t_h4s_lists_list(X1),h4s_sptrees_tolista(s(t_h4s_lists_list(X1),X31),s(t_h4s_sptrees_spt(X1),h4s_sptrees_ln)))=s(t_h4s_lists_list(X1),X31),file('i/f/sptree/isEmpty__toList', ah4s_sptrees_toListAu_u_defu_c0)).
fof(47, 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/isEmpty__toList', ah4s_sptrees_LN0)).
fof(49, axiom,p(s(t_bool,t0)),file('i/f/sptree/isEmpty__toList', aHLu_TRUTH)).
fof(52, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t0)<=>p(s(t_bool,X2))),file('i/f/sptree/isEmpty__toList', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
