# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/Encode/biprefix__cons', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/Encode/biprefix__cons', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/Encode/biprefix__cons', aHLu_BOOLu_CASES)).
fof(5, axiom,![X7]:![X8]:![X9]:(p(s(t_bool,h4s_encodes_biprefix(s(t_h4s_lists_list(X7),X9),s(t_h4s_lists_list(X7),X8))))<=>(p(s(t_bool,h4s_lists_isprefix(s(t_h4s_lists_list(X7),X8),s(t_h4s_lists_list(X7),X9))))|p(s(t_bool,h4s_lists_isprefix(s(t_h4s_lists_list(X7),X9),s(t_h4s_lists_list(X7),X8)))))),file('i/f/Encode/biprefix__cons', ah4s_Encodes_biprefixu_u_def)).
fof(10, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/Encode/biprefix__cons', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(60, axiom,![X7]:![X13]:![X14]:![X42]:![X43]:(p(s(t_bool,h4s_lists_isprefix(s(t_h4s_lists_list(X7),happ(s(t_fun(t_h4s_lists_list(X7),t_h4s_lists_list(X7)),happ(s(t_fun(X7,t_fun(t_h4s_lists_list(X7),t_h4s_lists_list(X7))),h4s_lists_cons),s(X7,X43))),s(t_h4s_lists_list(X7),X14))),s(t_h4s_lists_list(X7),happ(s(t_fun(t_h4s_lists_list(X7),t_h4s_lists_list(X7)),happ(s(t_fun(X7,t_fun(t_h4s_lists_list(X7),t_h4s_lists_list(X7))),h4s_lists_cons),s(X7,X42))),s(t_h4s_lists_list(X7),X13))))))<=>(s(X7,X43)=s(X7,X42)&p(s(t_bool,h4s_lists_isprefix(s(t_h4s_lists_list(X7),X14),s(t_h4s_lists_list(X7),X13)))))),file('i/f/Encode/biprefix__cons', ah4s_lists_isPREFIXu_u_THMu_c2)).
fof(133, conjecture,![X7]:![X10]:![X11]:![X8]:![X9]:(p(s(t_bool,h4s_encodes_biprefix(s(t_h4s_lists_list(X7),happ(s(t_fun(t_h4s_lists_list(X7),t_h4s_lists_list(X7)),happ(s(t_fun(X7,t_fun(t_h4s_lists_list(X7),t_h4s_lists_list(X7))),h4s_lists_cons),s(X7,X9))),s(t_h4s_lists_list(X7),X8))),s(t_h4s_lists_list(X7),happ(s(t_fun(t_h4s_lists_list(X7),t_h4s_lists_list(X7)),happ(s(t_fun(X7,t_fun(t_h4s_lists_list(X7),t_h4s_lists_list(X7))),h4s_lists_cons),s(X7,X11))),s(t_h4s_lists_list(X7),X10))))))<=>(s(X7,X9)=s(X7,X11)&p(s(t_bool,h4s_encodes_biprefix(s(t_h4s_lists_list(X7),X8),s(t_h4s_lists_list(X7),X10)))))),file('i/f/Encode/biprefix__cons', ch4s_Encodes_biprefixu_u_cons)).
# SZS output end CNFRefutation
