# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:s(t_bool,h4s_encodes_biprefix(s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X4),s(t_h4s_lists_list(X1),X3))),s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X4),s(t_h4s_lists_list(X1),X2)))))=s(t_bool,h4s_encodes_biprefix(s(t_h4s_lists_list(X1),X3),s(t_h4s_lists_list(X1),X2))),file('i/f/Encode/biprefix__appends', ch4s_Encodes_biprefixu_u_appends)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/Encode/biprefix__appends', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/Encode/biprefix__appends', aHLu_FALSITY)).
fof(4, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/Encode/biprefix__appends', aHLu_BOOLu_CASES)).
fof(7, axiom,![X1]:![X2]:![X3]:![X4]:s(t_bool,h4s_lists_isprefix(s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X4),s(t_h4s_lists_list(X1),X3))),s(t_h4s_lists_list(X1),h4s_lists_append(s(t_h4s_lists_list(X1),X4),s(t_h4s_lists_list(X1),X2)))))=s(t_bool,h4s_lists_isprefix(s(t_h4s_lists_list(X1),X3),s(t_h4s_lists_list(X1),X2))),file('i/f/Encode/biprefix__appends', ah4s_richu_u_lists_ISu_u_PREFIXu_u_APPENDS)).
fof(8, axiom,![X1]:![X3]:![X4]:(p(s(t_bool,h4s_encodes_biprefix(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),X3),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),X3)))))),file('i/f/Encode/biprefix__appends', ah4s_Encodes_biprefixu_u_def)).
# SZS output end CNFRefutation
