# 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_union(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)<=>(s(t_fun(X1,t_bool),X3)=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)&s(t_fun(X1,t_bool),X2)=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))),file('i/f/pred_set/EMPTY__UNION', ch4s_predu_u_sets_EMPTYu_u_UNION)).
fof(38, axiom,![X1]:![X3]:s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),s(t_fun(X1,t_bool),X3)))=s(t_fun(X1,t_bool),X3),file('i/f/pred_set/EMPTY__UNION', ah4s_predu_u_sets_UNIONu_u_EMPTYu_c0)).
fof(40, axiom,![X1]:![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_empty))))<=>s(t_fun(X1,t_bool),X3)=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)),file('i/f/pred_set/EMPTY__UNION', ah4s_predu_u_sets_SUBSETu_u_EMPTY)).
fof(50, axiom,![X1]:![X2]:![X3]: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)))=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/EMPTY__UNION', ah4s_predu_u_sets_UNIONu_u_COMM)).
fof(58, 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),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2)))))),file('i/f/pred_set/EMPTY__UNION', ah4s_predu_u_sets_SUBSETu_u_UNIONu_c0)).
# SZS output end CNFRefutation
