# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_merge(s(t_fun(X1,t_h4s_nums_num),X2),s(t_fun(X1,t_h4s_nums_num),X2)))=s(t_fun(X1,t_h4s_nums_num),X2),file('i/f/bag/BAG__MERGE__IDEM', ch4s_bags_BAGu_u_MERGEu_u_IDEM)).
fof(3, axiom,![X3]:![X4]:![X5]:![X6]:(![X7]:s(X4,happ(s(t_fun(X3,X4),X5),s(X3,X7)))=s(X4,happ(s(t_fun(X3,X4),X6),s(X3,X7)))=>s(t_fun(X3,X4),X5)=s(t_fun(X3,X4),X6)),file('i/f/bag/BAG__MERGE__IDEM', aHLu_EXT)).
fof(8, axiom,![X1]:![X10]:![X11]:![X7]:s(t_h4s_nums_num,happ(s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_merge(s(t_fun(X1,t_h4s_nums_num),X11),s(t_fun(X1,t_h4s_nums_num),X10))),s(X1,X7)))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,happ(s(t_fun(X1,t_h4s_nums_num),X11),s(X1,X7))),s(t_h4s_nums_num,happ(s(t_fun(X1,t_h4s_nums_num),X10),s(X1,X7))))),s(t_h4s_nums_num,happ(s(t_fun(X1,t_h4s_nums_num),X10),s(X1,X7))),s(t_h4s_nums_num,happ(s(t_fun(X1,t_h4s_nums_num),X11),s(X1,X7))))),file('i/f/bag/BAG__MERGE__IDEM', ah4s_bags_BAGu_u_MERGE0)).
fof(11, axiom,![X1]:![X8]:![X2]:s(X1,h4s_bools_cond(s(t_bool,X2),s(X1,X8),s(X1,X8)))=s(X1,X8),file('i/f/bag/BAG__MERGE__IDEM', ah4s_bools_CONDu_u_ID)).
# SZS output end CNFRefutation
