# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(~(s(t_fun(X1,t_h4s_nums_num),X2)=s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag))=>p(s(t_bool,h4s_bags_psubu_u_bag(s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_rest(s(t_fun(X1,t_h4s_nums_num),X2))),s(t_fun(X1,t_h4s_nums_num),X2))))),file('i/f/bag/PSUB__BAG__REST', ch4s_bags_PSUBu_u_BAGu_u_REST)).
fof(29, axiom,![X1]:![X18]:![X19]:(p(s(t_bool,h4s_bags_psubu_u_bag(s(t_fun(X1,t_h4s_nums_num),X19),s(t_fun(X1,t_h4s_nums_num),X18))))<=>(p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),X19),s(t_fun(X1,t_h4s_nums_num),X18))))&~(s(t_fun(X1,t_h4s_nums_num),X19)=s(t_fun(X1,t_h4s_nums_num),X18)))),file('i/f/bag/PSUB__BAG__REST', ah4s_bags_PSUBu_u_BAG0)).
fof(36, axiom,![X1]:![X2]:(~(s(t_fun(X1,t_h4s_nums_num),X2)=s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag))=>s(t_fun(X1,t_h4s_nums_num),X2)=s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,h4s_bags_bagu_u_choice(s(t_fun(X1,t_h4s_nums_num),X2))),s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_rest(s(t_fun(X1,t_h4s_nums_num),X2)))))),file('i/f/bag/PSUB__BAG__REST', ah4s_bags_BAGu_u_INSERTu_u_CHOICEu_u_REST)).
fof(37, axiom,![X1]:![X2]:p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_rest(s(t_fun(X1,t_h4s_nums_num),X2))),s(t_fun(X1,t_h4s_nums_num),X2)))),file('i/f/bag/PSUB__BAG__REST', ah4s_bags_SUBu_u_BAGu_u_REST)).
fof(45, axiom,![X1]:![X4]:![X2]:~(s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X4),s(t_fun(X1,t_h4s_nums_num),X2)))=s(t_fun(X1,t_h4s_nums_num),X2)),file('i/f/bag/PSUB__BAG__REST', ah4s_bags_BAGu_u_INSERTu_u_DIFF)).
# SZS output end CNFRefutation
