# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(~(p(s(t_bool,h4s_lists_null(s(t_h4s_lists_list(X1),X2)))))=>s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,h4s_lists_hd(s(t_h4s_lists_list(X1),X2))),s(t_h4s_lists_list(X1),h4s_lists_tl(s(t_h4s_lists_list(X1),X2)))))=s(t_h4s_lists_list(X1),X2)),file('i/f/list/CONS1', ch4s_lists_CONS1)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/list/CONS1', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/list/CONS1', aHLu_FALSITY)).
fof(4, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/list/CONS1', aHLu_BOOLu_CASES)).
fof(13, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/list/CONS1', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(14, axiom,![X1]:![X3]:![X7]:s(X1,h4s_lists_hd(s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X7),s(t_h4s_lists_list(X1),X3)))))=s(X1,X7),file('i/f/list/CONS1', ah4s_lists_HD0)).
fof(15, axiom,![X1]:![X3]:![X7]:s(t_h4s_lists_list(X1),h4s_lists_tl(s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X7),s(t_h4s_lists_list(X1),X3)))))=s(t_h4s_lists_list(X1),X3),file('i/f/list/CONS1', ah4s_lists_TL0)).
fof(16, axiom,![X1]:p(s(t_bool,h4s_lists_null(s(t_h4s_lists_list(X1),h4s_lists_nil)))),file('i/f/list/CONS1', ah4s_lists_NULL0u_c0)).
fof(18, axiom,![X1]:![X2]:(s(t_h4s_lists_list(X1),X2)=s(t_h4s_lists_list(X1),h4s_lists_nil)|?[X7]:?[X3]:s(t_h4s_lists_list(X1),X2)=s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X7),s(t_h4s_lists_list(X1),X3)))),file('i/f/list/CONS1', ah4s_lists_listu_u_CASES)).
# SZS output end CNFRefutation
