# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(X1,t_bool),h4s_combins_k(s(t_bool,t))),s(t_fun(X1,t_h4s_lists_list(t_bool)),X3))))=>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__total', ch4s_Encodes_wfu_u_encoderu_u_total)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/Encode/wf__encoder__total', aHLu_TRUTH)).
fof(7, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/Encode/wf__encoder__total', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(12, axiom,![X1]:![X2]:![X3]:(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))))<=>![X5]:![X10]:((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,X10))))&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)),X3),s(X1,X10))),s(t_h4s_lists_list(t_bool),happ(s(t_fun(X1,t_h4s_lists_list(t_bool)),X3),s(X1,X5))))))))=>s(X1,X5)=s(X1,X10))),file('i/f/Encode/wf__encoder__total', ah4s_Encodes_wfu_u_encoderu_u_def)).
fof(13, axiom,![X16]:![X1]:![X10]:![X5]:s(X1,happ(s(t_fun(X16,X1),h4s_combins_k(s(X1,X5))),s(X16,X10)))=s(X1,X5),file('i/f/Encode/wf__encoder__total', ah4s_combins_Ku_u_THM)).
fof(14, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/Encode/wf__encoder__total', aHLu_BOOLu_CASES)).
fof(15, axiom,~(p(s(t_bool,f))),file('i/f/Encode/wf__encoder__total', aHLu_FALSITY)).
# SZS output end CNFRefutation
