# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:((p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_h4s_lists_list(t_bool)),X4))))&![X5]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),X2),s(X1,X5))))=>s(t_h4s_lists_list(t_bool),happ(s(t_fun(X1,t_h4s_lists_list(t_bool)),X4),s(X1,X5)))=s(t_h4s_lists_list(t_bool),happ(s(t_fun(X1,t_h4s_lists_list(t_bool)),X3),s(X1,X5)))))=>p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_h4s_lists_list(t_bool)),X3))))),file('i/f/Encode/wf__encoder__eq', ch4s_Encodes_wfu_u_encoderu_u_eq)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/Encode/wf__encoder__eq', aHLu_TRUTH)).
fof(7, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/Encode/wf__encoder__eq', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(12, axiom,![X1]:![X2]:![X4]:(p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_h4s_lists_list(t_bool)),X4))))<=>![X5]:![X11]:((p(s(t_bool,happ(s(t_fun(X1,t_bool),X2),s(X1,X5))))&(p(s(t_bool,happ(s(t_fun(X1,t_bool),X2),s(X1,X11))))&p(s(t_bool,h4s_lists_isprefix(s(t_h4s_lists_list(t_bool),happ(s(t_fun(X1,t_h4s_lists_list(t_bool)),X4),s(X1,X11))),s(t_h4s_lists_list(t_bool),happ(s(t_fun(X1,t_h4s_lists_list(t_bool)),X4),s(X1,X5))))))))=>s(X1,X5)=s(X1,X11))),file('i/f/Encode/wf__encoder__eq', ah4s_Encodes_wfu_u_encoderu_u_def)).
fof(13, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f0)),file('i/f/Encode/wf__encoder__eq', aHLu_BOOLu_CASES)).
fof(14, axiom,~(p(s(t_bool,f0))),file('i/f/Encode/wf__encoder__eq', aHLu_FALSITY)).
# SZS output end CNFRefutation
