# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_fun(X1,t_bool),h4s_predu_u_sets_inter(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/INTER__EMPTY_c0', ch4s_predu_u_sets_INTERu_u_EMPTYu_c0)).
fof(39, axiom,![X1]:![X2]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X2),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/INTER__EMPTY_c0', ah4s_predu_u_sets_SUBSETu_u_EMPTY)).
fof(56, axiom,![X1]:![X10]:![X2]:s(t_fun(X1,t_bool),h4s_predu_u_sets_inter(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X10)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_inter(s(t_fun(X1,t_bool),X10),s(t_fun(X1,t_bool),X2))),file('i/f/pred_set/INTER__EMPTY_c0', ah4s_predu_u_sets_INTERu_u_COMM)).
fof(60, axiom,![X1]:![X10]:![X2]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),h4s_predu_u_sets_inter(s(t_fun(X1,t_bool),X10),s(t_fun(X1,t_bool),X2))),s(t_fun(X1,t_bool),X2)))),file('i/f/pred_set/INTER__EMPTY_c0', ah4s_predu_u_sets_INTERu_u_SUBSETu_c1)).
# SZS output end CNFRefutation
