# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_bool,h4s_lists_allu_u_distinct(s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X2),s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X2),s(t_h4s_lists_list(X1),h4s_lists_nil)))))))=s(t_bool,f),file('i/f/HolSmt/r062', ch4s_HolSmts_r062)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/HolSmt/r062', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/HolSmt/r062', aHLu_FALSITY)).
fof(4, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/HolSmt/r062', aHLu_BOOLu_CASES)).
fof(13, axiom,![X3]:(s(t_bool,f)=s(t_bool,X3)<=>~(p(s(t_bool,X3)))),file('i/f/HolSmt/r062', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(16, axiom,![X1]:![X3]:![X5]:(p(s(t_bool,h4s_lists_allu_u_distinct(s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X5),s(t_h4s_lists_list(X1),X3))))))<=>(~(p(s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X1),X3)))))))&p(s(t_bool,h4s_lists_allu_u_distinct(s(t_h4s_lists_list(X1),X3)))))),file('i/f/HolSmt/r062', ah4s_lists_ALLu_u_DISTINCT0u_c1)).
fof(17, axiom,![X1]:![X2]:![X3]:![X5]:(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,X5),s(t_h4s_lists_list(X1),X3))))))))<=>(s(X1,X2)=s(X1,X5)|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/r062', ah4s_lists_MEMu_c1)).
# SZS output end CNFRefutation
