# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_wordss_wordu_u_lo(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),X2))))<=>~(p(s(t_bool,h4s_wordss_wordu_u_ls(s(t_h4s_fcps_cart(t_bool,X1),X2),s(t_h4s_fcps_cart(t_bool,X1),X3)))))),file('i/f/HolSmt/r251', ch4s_HolSmts_r251)).
fof(16, axiom,![X9]:![X10]:(s(t_bool,X10)=s(t_bool,X9)<=>((p(s(t_bool,X10))&p(s(t_bool,X9)))|(~(p(s(t_bool,X10)))&~(p(s(t_bool,X9)))))),file('i/f/HolSmt/r251', ah4s_bools_EQu_u_EXPAND)).
fof(28, axiom,![X1]:![X16]:![X17]:s(t_bool,h4s_wordss_wordu_u_ls(s(t_h4s_fcps_cart(t_bool,X1),X17),s(t_h4s_fcps_cart(t_bool,X1),X16)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X17))),s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X16))))),file('i/f/HolSmt/r251', ah4s_wordss_WORDu_u_LS)).
fof(29, axiom,![X1]:![X16]:![X17]:s(t_bool,h4s_wordss_wordu_u_lo(s(t_h4s_fcps_cart(t_bool,X1),X17),s(t_h4s_fcps_cart(t_bool,X1),X16)))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X17))),s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X16))))),file('i/f/HolSmt/r251', ah4s_wordss_WORDu_u_LO)).
fof(33, axiom,![X14]:![X15]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X15))))),file('i/f/HolSmt/r251', ah4s_arithmetics_NOTu_u_LESS)).
# SZS output end CNFRefutation
