# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]: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_union(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X3)))))),file('i/f/pred_set/SUBSET__UNION_c1', ch4s_predu_u_sets_SUBSETu_u_UNIONu_c1)).
fof(2, axiom,p(s(t_bool,t0)),file('i/f/pred_set/SUBSET__UNION_c1', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/SUBSET__UNION_c1', aHLu_FALSITY)).
fof(7, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t0)<=>p(s(t_bool,X2))),file('i/f/pred_set/SUBSET__UNION_c1', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(8, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2))))<=>![X4]:(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X3))))=>p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X2)))))),file('i/f/pred_set/SUBSET__UNION_c1', ah4s_predu_u_sets_SUBSETu_u_DEF)).
fof(9, axiom,![X1]:![X4]:![X2]:![X3]:(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2))))))<=>(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X3))))|p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X2)))))),file('i/f/pred_set/SUBSET__UNION_c1', ah4s_predu_u_sets_INu_u_UNION)).
fof(11, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t0)|s(t_bool,X2)=s(t_bool,f)),file('i/f/pred_set/SUBSET__UNION_c1', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
