# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X2),s(t_fun(X1,t_bool),X3)))))=s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X2),s(t_fun(X1,t_bool),X3))),file('i/f/pred_set/INSERT__INSERT', ch4s_predu_u_sets_INSERTu_u_INSERT)).
fof(6, axiom,![X1]:![X2]:![X11]:s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X11)))=s(t_bool,happ(s(t_fun(X1,t_bool),X11),s(X1,X2))),file('i/f/pred_set/INSERT__INSERT', ah4s_bools_INu_u_DEF)).
fof(37, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X3))))<=>s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X2),s(t_fun(X1,t_bool),X3)))=s(t_fun(X1,t_bool),X3)),file('i/f/pred_set/INSERT__INSERT', ah4s_predu_u_sets_ABSORPTION)).
fof(41, axiom,![X1]:![X2]:![X3]:p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X2),s(t_fun(X1,t_bool),X3)))))),file('i/f/pred_set/INSERT__INSERT', ah4s_predu_u_sets_COMPONENT)).
fof(60, axiom,p(s(t_bool,t)),file('i/f/pred_set/INSERT__INSERT', aHLu_TRUTH)).
fof(61, axiom,![X10]:(s(t_bool,X10)=s(t_bool,t)|s(t_bool,X10)=s(t_bool,f)),file('i/f/pred_set/INSERT__INSERT', aHLu_BOOLu_CASES)).
fof(68, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/pred_set/INSERT__INSERT', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
