# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(X1,h4s_bags_bagu_u_choice(s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X2),s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag)))))=s(X1,X2),file('i/f/bag/BAG__CHOICE__SING', ch4s_bags_BAGu_u_CHOICEu_u_SING)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/bag/BAG__CHOICE__SING', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/bag/BAG__CHOICE__SING', aHLu_FALSITY)).
fof(4, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/bag/BAG__CHOICE__SING', aHLu_BOOLu_CASES)).
fof(16, axiom,![X1]:![X10]:(~(s(t_fun(X1,t_h4s_nums_num),X10)=s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag))=>p(s(t_bool,h4s_bags_bagu_u_in(s(X1,h4s_bags_bagu_u_choice(s(t_fun(X1,t_h4s_nums_num),X10))),s(t_fun(X1,t_h4s_nums_num),X10))))),file('i/f/bag/BAG__CHOICE__SING', ah4s_bags_BAGu_u_CHOICEu_u_DEF)).
fof(17, axiom,![X1]:![X11]:![X12]:![X10]:(p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X12),s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X11),s(t_fun(X1,t_h4s_nums_num),X10))))))<=>(s(X1,X12)=s(X1,X11)|p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X12),s(t_fun(X1,t_h4s_nums_num),X10)))))),file('i/f/bag/BAG__CHOICE__SING', ah4s_bags_BAGu_u_INu_u_BAGu_u_INSERT)).
fof(18, axiom,![X1]:![X2]:![X10]:~(s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X2),s(t_fun(X1,t_h4s_nums_num),X10)))=s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag)),file('i/f/bag/BAG__CHOICE__SING', ah4s_bags_BAGu_u_INSERTu_u_NOTu_u_EMPTY)).
fof(19, axiom,![X1]:![X2]:~(p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X2),s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag))))),file('i/f/bag/BAG__CHOICE__SING', ah4s_bags_NOTu_u_INu_u_EMPTYu_u_BAG)).
# SZS output end CNFRefutation
