# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2))))<=>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),X2)),file('i/f/pred_set/SUBSET__UNION__ABSORPTION', ch4s_predu_u_sets_SUBSETu_u_UNIONu_u_ABSORPTION)).
fof(40, axiom,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X3),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)))))=>s(t_fun(X1,t_bool),X3)=s(t_fun(X1,t_bool),X2)),file('i/f/pred_set/SUBSET__UNION__ABSORPTION', ah4s_predu_u_sets_SUBSETu_u_ANTISYM)).
fof(42, axiom,![X1]:![X3]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X3)))),file('i/f/pred_set/SUBSET__UNION__ABSORPTION', ah4s_predu_u_sets_SUBSETu_u_REFL)).
fof(46, axiom,![X1]:![X25]:![X2]:![X3]:(p(s(t_bool,h4s_predu_u_sets_subset(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),X25))))<=>(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X25))))&p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X25)))))),file('i/f/pred_set/SUBSET__UNION__ABSORPTION', ah4s_predu_u_sets_UNIONu_u_SUBSET)).
fof(48, axiom,![X1]:![X2]:![X3]:p(s(t_bool,h4s_predu_u_sets_subset(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)))))),file('i/f/pred_set/SUBSET__UNION__ABSORPTION', ah4s_predu_u_sets_SUBSETu_u_UNIONu_c0)).
fof(49, axiom,![X1]:![X2]:![X3]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X3)))))),file('i/f/pred_set/SUBSET__UNION__ABSORPTION', ah4s_predu_u_sets_SUBSETu_u_UNIONu_c1)).
fof(52, axiom,![X1]:![X2]:![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),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X3))),file('i/f/pred_set/SUBSET__UNION__ABSORPTION', ah4s_predu_u_sets_UNIONu_u_COMM)).
fof(54, axiom,p(s(t_bool,t0)),file('i/f/pred_set/SUBSET__UNION__ABSORPTION', aHLu_TRUTH)).
fof(57, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t0)<=>p(s(t_bool,X2))),file('i/f/pred_set/SUBSET__UNION__ABSORPTION', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
