# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_lists_isprefix(s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X2),s(t_h4s_lists_list(X1),X4))),s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X3),s(t_h4s_lists_list(X1),X5))))))<=>(s(X1,X3)=s(X1,X2)&p(s(t_bool,h4s_lists_isprefix(s(t_h4s_lists_list(X1),X4),s(t_h4s_lists_list(X1),X5)))))),file('i/f/rich_list/IS__PREFIX_c2', ch4s_richu_u_lists_ISu_u_PREFIXu_c2)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/rich_list/IS__PREFIX_c2', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/rich_list/IS__PREFIX_c2', aHLu_FALSITY)).
fof(4, axiom,![X1]:![X6]:![X7]:![X8]:![X9]:(p(s(t_bool,h4s_lists_isprefix(s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X9),s(t_h4s_lists_list(X1),X7))),s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X8),s(t_h4s_lists_list(X1),X6))))))<=>(s(X1,X9)=s(X1,X8)&p(s(t_bool,h4s_lists_isprefix(s(t_h4s_lists_list(X1),X7),s(t_h4s_lists_list(X1),X6)))))),file('i/f/rich_list/IS__PREFIX_c2', ah4s_lists_isPREFIXu_u_THMu_c2)).
fof(5, axiom,![X10]:(s(t_bool,X10)=s(t_bool,t)|s(t_bool,X10)=s(t_bool,f)),file('i/f/rich_list/IS__PREFIX_c2', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
