# 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),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)))=s(t_fun(X1,t_bool),X3),file('i/f/pred_set/INTER__UNION_c0', ch4s_predu_u_sets_INTERu_u_UNIONu_c0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/pred_set/INTER__UNION_c0', aHLu_TRUTH)).
fof(5, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/pred_set/INTER__UNION_c0', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(6, axiom,![X1]:![X4]:![X5]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X5),s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X5),s(t_fun(X1,t_bool),X4)))))),file('i/f/pred_set/INTER__UNION_c0', ah4s_predu_u_sets_SUBSETu_u_UNIONu_c0)).
fof(9, 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),X2)<=>p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X3))))),file('i/f/pred_set/INTER__UNION_c0', ah4s_predu_u_sets_INTERu_u_SUBSETu_u_EQNu_c1)).
fof(10, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/INTER__UNION_c0', aHLu_FALSITY)).
fof(11, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/pred_set/INTER__UNION_c0', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
