# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_bool,h4s_predu_u_sets_disjoint(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2)))=s(t_bool,h4s_predu_u_sets_disjoint(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X3))),file('i/f/pred_set/DISJOINT__SYM', ch4s_predu_u_sets_DISJOINTu_u_SYM)).
fof(2, axiom,p(s(t_bool,t0)),file('i/f/pred_set/DISJOINT__SYM', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/DISJOINT__SYM', aHLu_FALSITY)).
fof(4, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t0)|s(t_bool,X2)=s(t_bool,f)),file('i/f/pred_set/DISJOINT__SYM', aHLu_BOOLu_CASES)).
fof(5, 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),h4s_predu_u_sets_inter(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X3))),file('i/f/pred_set/DISJOINT__SYM', ah4s_predu_u_sets_INTERu_u_COMM)).
fof(6, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_predu_u_sets_disjoint(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2))))<=>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),h4s_predu_u_sets_empty)),file('i/f/pred_set/DISJOINT__SYM', ah4s_predu_u_sets_DISJOINTu_u_DEF)).
# SZS output end CNFRefutation
