# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:p(s(t_bool,h4s_wordss_wordu_u_le(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_2comp(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))),s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0)))))),file('i/f/words/WORD__LESS__0__word__T_c3', ch4s_wordss_WORDu_u_LESSu_u_0u_u_wordu_u_Tu_c3)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/words/WORD__LESS__0__word__T_c3', aHLu_FALSITY)).
fof(6, axiom,![X4]:(s(t_bool,f)=s(t_bool,X4)<=>~(p(s(t_bool,X4)))),file('i/f/words/WORD__LESS__0__word__T_c3', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(39, axiom,![X5]:![X19]:![X20]:(p(s(t_bool,h4s_wordss_wordu_u_le(s(t_h4s_fcps_cart(t_bool,X5),X20),s(t_h4s_fcps_cart(t_bool,X5),X19))))<=>((s(t_bool,h4s_wordss_wordu_u_msb(s(t_h4s_fcps_cart(t_bool,X5),X20)))=s(t_bool,h4s_wordss_wordu_u_msb(s(t_h4s_fcps_cart(t_bool,X5),X19)))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X5),X20))),s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X5),X19)))))))|(p(s(t_bool,h4s_wordss_wordu_u_msb(s(t_h4s_fcps_cart(t_bool,X5),X20))))&~(p(s(t_bool,h4s_wordss_wordu_u_msb(s(t_h4s_fcps_cart(t_bool,X5),X19)))))))),file('i/f/words/WORD__LESS__0__word__T_c3', ah4s_wordss_WORDu_u_LE)).
fof(41, axiom,![X5]:p(s(t_bool,h4s_wordss_wordu_u_msb(s(t_h4s_fcps_cart(t_bool,X5),h4s_wordss_wordu_u_2comp(s(t_h4s_fcps_cart(t_bool,X5),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))))))),file('i/f/words/WORD__LESS__0__word__T_c3', ah4s_wordss_wordu_u_msbu_u_wordu_u_T)).
fof(42, axiom,![X5]:~(p(s(t_bool,h4s_wordss_wordu_u_msb(s(t_h4s_fcps_cart(t_bool,X5),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/words/WORD__LESS__0__word__T_c3', ah4s_wordss_WORDu_u_0u_u_POS)).
fof(46, axiom,![X7]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X7))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/words/WORD__LESS__0__word__T_c3', ah4s_numerals_numeralu_u_distribu_c27)).
fof(48, axiom,![X7]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X7)))),file('i/f/words/WORD__LESS__0__word__T_c3', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(50, axiom,![X7]:(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,h4s_nums_0)<=>s(t_h4s_nums_num,X7)=s(t_h4s_nums_num,h4s_arithmetics_zero)),file('i/f/words/WORD__LESS__0__word__T_c3', ah4s_numerals_numeralu_u_distribu_c17)).
fof(60, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/words/WORD__LESS__0__word__T_c3', aHLu_BOOLu_CASES)).
fof(61, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/words/WORD__LESS__0__word__T_c3', ah4s_bools_NOTu_u_CLAUSESu_c2)).
fof(73, axiom,![X7]:![X23]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X23),s(t_h4s_nums_num,X7)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X23))),s(t_h4s_nums_num,X7))),file('i/f/words/WORD__LESS__0__word__T_c3', ah4s_arithmetics_LESSu_u_EQ)).
fof(74, axiom,![X7]:![X23]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X23),s(t_h4s_nums_num,X7)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X23))))),file('i/f/words/WORD__LESS__0__word__T_c3', ah4s_arithmetics_NOTu_u_LESS)).
fof(76, axiom,![X7]:![X23]:(~(s(t_h4s_nums_num,X23)=s(t_h4s_nums_num,X7))<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X23))),s(t_h4s_nums_num,X7))))|p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7))),s(t_h4s_nums_num,X23)))))),file('i/f/words/WORD__LESS__0__word__T_c3', ah4s_arithmetics_NOTu_u_NUMu_u_EQ)).
# SZS output end CNFRefutation
