# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(t_bool,t_bool),X1),s(t_fun(t_bool,t_h4s_lists_list(t_bool)),h4s_encodes_encodeu_u_bool)))),file('i/f/Encode/wf__encode__bool', ch4s_Encodes_wfu_u_encodeu_u_bool)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/Encode/wf__encode__bool', aHLu_TRUTH)).
fof(11, axiom,![X2]:![X1]:![X11]:(p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(X2,t_bool),X1),s(t_fun(X2,t_h4s_lists_list(t_bool)),X11))))<=>![X4]:![X9]:((p(s(t_bool,happ(s(t_fun(X2,t_bool),X1),s(X2,X4))))&(p(s(t_bool,happ(s(t_fun(X2,t_bool),X1),s(X2,X9))))&p(s(t_bool,h4s_lists_isprefix(s(t_h4s_lists_list(t_bool),happ(s(t_fun(X2,t_h4s_lists_list(t_bool)),X11),s(X2,X9))),s(t_h4s_lists_list(t_bool),happ(s(t_fun(X2,t_h4s_lists_list(t_bool)),X11),s(X2,X4))))))))=>s(X2,X4)=s(X2,X9))),file('i/f/Encode/wf__encode__bool', ah4s_Encodes_wfu_u_encoderu_u_def)).
fof(12, axiom,![X4]:s(t_h4s_lists_list(t_bool),happ(s(t_fun(t_bool,t_h4s_lists_list(t_bool)),h4s_encodes_encodeu_u_bool),s(t_bool,X4)))=s(t_h4s_lists_list(t_bool),h4s_lists_cons(s(t_bool,X4),s(t_h4s_lists_list(t_bool),h4s_lists_nil))),file('i/f/Encode/wf__encode__bool', ah4s_Encodes_encodeu_u_boolu_u_def)).
fof(15, axiom,![X2]:![X17]:![X18]:![X19]:![X20]:(p(s(t_bool,h4s_lists_isprefix(s(t_h4s_lists_list(X2),h4s_lists_cons(s(X2,X17),s(t_h4s_lists_list(X2),X19))),s(t_h4s_lists_list(X2),h4s_lists_cons(s(X2,X18),s(t_h4s_lists_list(X2),X20))))))<=>(s(X2,X18)=s(X2,X17)&p(s(t_bool,h4s_lists_isprefix(s(t_h4s_lists_list(X2),X19),s(t_h4s_lists_list(X2),X20)))))),file('i/f/Encode/wf__encode__bool', ah4s_richu_u_lists_ISu_u_PREFIXu_c2)).
fof(16, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/Encode/wf__encode__bool', aHLu_BOOLu_CASES)).
fof(17, axiom,~(p(s(t_bool,f))),file('i/f/Encode/wf__encode__bool', aHLu_FALSITY)).
# SZS output end CNFRefutation
