# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_encodes_biprefix(s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X5),s(t_h4s_lists_list(X1),X4))),s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X3),s(t_h4s_lists_list(X1),X2))))))=>p(s(t_bool,h4s_encodes_biprefix(s(t_h4s_lists_list(X1),X5),s(t_h4s_lists_list(X1),X3))))),file('i/f/Encode/biprefix__append', ch4s_Encodes_biprefixu_u_append)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/Encode/biprefix__append', aHLu_FALSITY)).
fof(24, axiom,![X1]:![X4]:![X5]:(p(s(t_bool,h4s_encodes_biprefix(s(t_h4s_lists_list(X1),X5),s(t_h4s_lists_list(X1),X4))))<=>(p(s(t_bool,h4s_lists_isprefix(s(t_h4s_lists_list(X1),X4),s(t_h4s_lists_list(X1),X5))))|p(s(t_bool,h4s_lists_isprefix(s(t_h4s_lists_list(X1),X5),s(t_h4s_lists_list(X1),X4)))))),file('i/f/Encode/biprefix__append', ah4s_Encodes_biprefixu_u_def)).
fof(25, axiom,![X1]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_lists_isprefix(s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X5),s(t_h4s_lists_list(X1),X4))),s(t_h4s_lists_list(X1),X3))))=>p(s(t_bool,h4s_lists_isprefix(s(t_h4s_lists_list(X1),X5),s(t_h4s_lists_list(X1),X3))))),file('i/f/Encode/biprefix__append', ah4s_richu_u_lists_ISu_u_PREFIXu_u_APPEND1)).
fof(26, axiom,![X1]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_lists_isprefix(s(t_h4s_lists_list(X1),X5),s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X4),s(t_h4s_lists_list(X1),X3))))))=>(p(s(t_bool,h4s_lists_isprefix(s(t_h4s_lists_list(X1),X5),s(t_h4s_lists_list(X1),X4))))|p(s(t_bool,h4s_lists_isprefix(s(t_h4s_lists_list(X1),X4),s(t_h4s_lists_list(X1),X5)))))),file('i/f/Encode/biprefix__append', ah4s_richu_u_lists_ISu_u_PREFIXu_u_APPEND2)).
fof(27, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)|s(t_bool,X8)=s(t_bool,f)),file('i/f/Encode/biprefix__append', aHLu_BOOLu_CASES)).
fof(28, axiom,p(s(t_bool,t)),file('i/f/Encode/biprefix__append', aHLu_TRUTH)).
fof(30, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)<=>p(s(t_bool,X8))),file('i/f/Encode/biprefix__append', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
