# 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_inter(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)))))=s(t_fun(X1,t_bool),X3),file('i/f/pred_set/INTER__UNION_c2', ch4s_predu_u_sets_INTERu_u_UNIONu_c2)).
fof(38, axiom,![X1]:![X2]:![X3]:(s(t_fun(X1,t_bool),h4s_predu_u_sets_inter(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2)))=s(t_fun(X1,t_bool),X3)<=>p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2))))),file('i/f/pred_set/INTER__UNION_c2', ah4s_predu_u_sets_INTERu_u_SUBSETu_u_EQNu_c0)).
fof(45, axiom,![X1]:![X6]:![X20]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X20),s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X20),s(t_fun(X1,t_bool),X6)))))),file('i/f/pred_set/INTER__UNION_c2', ah4s_predu_u_sets_SUBSETu_u_UNIONu_c0)).
fof(52, axiom,![X6]:((p(s(t_bool,X6))=>p(s(t_bool,f)))<=>s(t_bool,X6)=s(t_bool,f)),file('i/f/pred_set/INTER__UNION_c2', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(57, axiom,![X6]:(s(t_bool,X6)=s(t_bool,f)<=>~(p(s(t_bool,X6)))),file('i/f/pred_set/INTER__UNION_c2', ah4s_bools_EQu_u_CLAUSESu_c3)).
# SZS output end CNFRefutation
