# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_predu_u_sets_disjoint(s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X3))),s(t_fun(X1,t_bool),X2))))<=>(p(s(t_bool,h4s_predu_u_sets_disjoint(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X2))))&p(s(t_bool,h4s_predu_u_sets_disjoint(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2)))))),file('i/f/pred_set/DISJOINT__UNION__BOTH_c0', ch4s_predu_u_sets_DISJOINTu_u_UNIONu_u_BOTHu_c0)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/DISJOINT__UNION__BOTH_c0', aHLu_FALSITY)).
fof(3, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/pred_set/DISJOINT__UNION__BOTH_c0', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(52, axiom,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_predu_u_sets_disjoint(s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X3))),s(t_fun(X1,t_bool),X2))))<=>(p(s(t_bool,h4s_predu_u_sets_disjoint(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X2))))&p(s(t_bool,h4s_predu_u_sets_disjoint(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2)))))),file('i/f/pred_set/DISJOINT__UNION__BOTH_c0', ah4s_predu_u_sets_DISJOINTu_u_UNION)).
fof(56, axiom,![X1]:![X3]:![X4]:s(t_bool,h4s_predu_u_sets_disjoint(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X3)))=s(t_bool,h4s_predu_u_sets_disjoint(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X4))),file('i/f/pred_set/DISJOINT__UNION__BOTH_c0', ah4s_predu_u_sets_DISJOINTu_u_SYM)).
fof(67, axiom,![X1]:![X3]:![X4]:s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X4),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),X4))),file('i/f/pred_set/DISJOINT__UNION__BOTH_c0', ah4s_predu_u_sets_UNIONu_u_COMM)).
fof(80, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t0))),file('i/f/pred_set/DISJOINT__UNION__BOTH_c0', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
