# 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_relations_rsubset(s(t_fun(X1,t_fun(X1,t_bool)),h4s_predu_u_sets_relu_u_restrict(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(t_fun(X1,t_bool),X3))),s(t_fun(X1,t_fun(X1,t_bool)),h4s_predu_u_sets_relu_u_restrict(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(t_fun(X1,t_bool),X2))))))),file('i/f/pred_set/REL__RESTRICT__SUBSET', ch4s_predu_u_sets_RELu_u_RESTRICTu_u_SUBSET)).
fof(6, axiom,![X1]:![X13]:![X14]:![X15]:(p(s(t_bool,h4s_relations_rsubset(s(t_fun(X1,t_fun(X13,t_bool)),X15),s(t_fun(X1,t_fun(X13,t_bool)),X14))))<=>![X6]:![X11]:(p(s(t_bool,happ(s(t_fun(X13,t_bool),happ(s(t_fun(X1,t_fun(X13,t_bool)),X15),s(X1,X6))),s(X13,X11))))=>p(s(t_bool,happ(s(t_fun(X13,t_bool),happ(s(t_fun(X1,t_fun(X13,t_bool)),X14),s(X1,X6))),s(X13,X11)))))),file('i/f/pred_set/REL__RESTRICT__SUBSET', ah4s_relations_RSUBSET0)).
fof(7, axiom,![X1]:![X11]:![X6]:![X16]:![X4]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),h4s_predu_u_sets_relu_u_restrict(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(t_fun(X1,t_bool),X16))),s(X1,X6))),s(X1,X11))))<=>(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X16))))&(p(s(t_bool,h4s_bools_in(s(X1,X11),s(t_fun(X1,t_bool),X16))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,X6))),s(X1,X11))))))),file('i/f/pred_set/REL__RESTRICT__SUBSET', ah4s_predu_u_sets_RELu_u_RESTRICTu_u_DEF)).
fof(8, axiom,![X1]:![X5]:![X16]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X16),s(t_fun(X1,t_bool),X5))))<=>![X6]:(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X16))))=>p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),X5)))))),file('i/f/pred_set/REL__RESTRICT__SUBSET', ah4s_predu_u_sets_SUBSETu_u_DEF)).
# SZS output end CNFRefutation
