# 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_inter(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2)))=s(t_fun(X1,t_bool),X3)),file('i/f/pred_set/SUBSET__INTER__ABSORPTION', ch4s_predu_u_sets_SUBSETu_u_INTERu_u_ABSORPTION)).
fof(38, 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__INTER__ABSORPTION', ah4s_predu_u_sets_SUBSETu_u_ANTISYM)).
fof(39, 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__INTER__ABSORPTION', ah4s_predu_u_sets_SUBSETu_u_REFL)).
fof(44, axiom,![X1]:![X25]:![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_inter(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),X2))))&p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X25)))))),file('i/f/pred_set/SUBSET__INTER__ABSORPTION', ah4s_predu_u_sets_SUBSETu_u_INTER)).
fof(46, axiom,![X1]:![X2]:![X3]: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),X2),s(t_fun(X1,t_bool),X3))),s(t_fun(X1,t_bool),X3)))),file('i/f/pred_set/SUBSET__INTER__ABSORPTION', ah4s_predu_u_sets_INTERu_u_SUBSETu_c1)).
fof(47, axiom,![X1]:![X2]:![X3]: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),X3),s(t_fun(X1,t_bool),X2))),s(t_fun(X1,t_bool),X3)))),file('i/f/pred_set/SUBSET__INTER__ABSORPTION', ah4s_predu_u_sets_INTERu_u_SUBSETu_c0)).
fof(49, 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/SUBSET__INTER__ABSORPTION', ah4s_predu_u_sets_INTERu_u_COMM)).
fof(70, axiom,p(s(t_bool,t0)),file('i/f/pred_set/SUBSET__INTER__ABSORPTION', aHLu_TRUTH)).
fof(74, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t0)<=>p(s(t_bool,X2))),file('i/f/pred_set/SUBSET__INTER__ABSORPTION', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
