# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2))))=>p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X4),s(t_fun(X1,t_bool),X2))))))),file('i/f/pred_set/SUBSET__INSERT__RIGHT', ch4s_predu_u_sets_SUBSETu_u_INSERTu_u_RIGHT)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/pred_set/SUBSET__INSERT__RIGHT', aHLu_TRUTH)).
fof(7, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/pred_set/SUBSET__INSERT__RIGHT', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(11, axiom,![X1]:![X5]:![X13]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X13),s(t_fun(X1,t_bool),X5))))<=>![X6]:(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X13))))=>p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X5)))))),file('i/f/pred_set/SUBSET__INSERT__RIGHT', ah4s_predu_u_sets_SUBSETu_u_DEF)).
fof(12, axiom,![X1]:![X11]:![X6]:![X13]:(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X11),s(t_fun(X1,t_bool),X13))))))<=>(s(X1,X6)=s(X1,X11)|p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X13)))))),file('i/f/pred_set/SUBSET__INSERT__RIGHT', ah4s_predu_u_sets_INu_u_INSERT)).
fof(14, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/pred_set/SUBSET__INSERT__RIGHT', aHLu_BOOLu_CASES)).
fof(15, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/SUBSET__INSERT__RIGHT', aHLu_FALSITY)).
# SZS output end CNFRefutation
