# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X2),s(t_fun(X1,t_bool),X4))),s(X1,X3))))<=>(s(X1,X3)=s(X1,X2)|p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X4)))))),file('i/f/pred_set/INSERT__applied', ch4s_predu_u_sets_INSERTu_u_applied)).
fof(21, axiom,![X1]:![X3]:![X23]:s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X23)))=s(t_bool,happ(s(t_fun(X1,t_bool),X23),s(X1,X3))),file('i/f/pred_set/INSERT__applied', ah4s_bools_INu_u_DEF)).
fof(28, axiom,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X2),s(t_fun(X1,t_bool),X4))))))<=>(s(X1,X3)=s(X1,X2)|p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X4)))))),file('i/f/pred_set/INSERT__applied', ah4s_predu_u_sets_INu_u_INSERT)).
fof(34, axiom,p(s(t_bool,t)),file('i/f/pred_set/INSERT__applied', aHLu_TRUTH)).
fof(35, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/pred_set/INSERT__applied', aHLu_BOOLu_CASES)).
fof(57, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/INSERT__applied', aHLu_FALSITY)).
fof(59, axiom,![X7]:(s(t_bool,X7)=s(t_bool,f)<=>~(p(s(t_bool,X7)))),file('i/f/pred_set/INSERT__applied', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(60, axiom,(p(s(t_bool,f))<=>![X7]:p(s(t_bool,X7))),file('i/f/pred_set/INSERT__applied', ah4s_bools_Fu_u_DEF)).
# SZS output end CNFRefutation
