# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_lists_listu_u_rel(s(t_fun(X1,t_fun(X2,t_bool)),X4),s(t_h4s_lists_list(X1),h4s_lists_nil),s(t_h4s_lists_list(X2),X3))))<=>s(t_h4s_lists_list(X2),X3)=s(t_h4s_lists_list(X2),h4s_lists_nil)),file('i/f/list/EVERY2__THM_c0', ch4s_lists_EVERY2u_u_THMu_c0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/list/EVERY2__THM_c0', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/list/EVERY2__THM_c0', 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/list/EVERY2__THM_c0', aHLu_BOOLu_CASES)).
fof(7, axiom,![X1]:![X2]:![X6]:![X7]:(p(s(t_bool,h4s_lists_listu_u_rel(s(t_fun(X1,t_fun(X2,t_bool)),X7),s(t_h4s_lists_list(X1),h4s_lists_nil),s(t_h4s_lists_list(X2),X6))))<=>s(t_h4s_lists_list(X2),X6)=s(t_h4s_lists_list(X2),h4s_lists_nil)),file('i/f/list/EVERY2__THM_c0', ah4s_lists_LISTu_u_RELu_u_NILu_c0)).
# SZS output end CNFRefutation
