# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(~(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X4),s(t_h4s_lists_list(X1),X3)))))))))<=>(~(s(X1,X2)=s(X1,X4))&~(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X1),X3))))))))),file('i/f/HolSmt/NOT__MEM__CONS', ch4s_HolSmts_NOTu_u_MEMu_u_CONS)).
fof(2, axiom,p(s(t_bool,t0)),file('i/f/HolSmt/NOT__MEM__CONS', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/HolSmt/NOT__MEM__CONS', aHLu_FALSITY)).
fof(8, axiom,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X4),s(t_h4s_lists_list(X1),X3))))))))<=>(s(X1,X2)=s(X1,X4)|p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X1),X3)))))))),file('i/f/HolSmt/NOT__MEM__CONS', ah4s_lists_MEMu_c1)).
fof(11, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t0)|s(t_bool,X3)=s(t_bool,f)),file('i/f/HolSmt/NOT__MEM__CONS', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
