# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_wordss_wordu_u_le(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_fcps_cart(t_bool,X1),X3))))&p(s(t_bool,h4s_wordss_wordu_u_le(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_fcps_cart(t_bool,X1),X2)))))=>s(t_bool,h4s_wordss_wordu_u_lt(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),X2)))=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)))),file('i/f/words/WORD__LT__EQ__LO', ch4s_wordss_WORDu_u_LTu_u_EQu_u_LO)).
fof(2, axiom,![X4]:![X5]:((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>s(t_bool,X5)=s(t_bool,X4))),file('i/f/words/WORD__LT__EQ__LO', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(23, 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/words/WORD__LT__EQ__LO', ah4s_wordss_WORDu_u_LO)).
fof(25, axiom,![X1]:![X16]:![X17]:(p(s(t_bool,h4s_wordss_wordu_u_le(s(t_h4s_fcps_cart(t_bool,X1),X17),s(t_h4s_fcps_cart(t_bool,X1),X16))))<=>(p(s(t_bool,h4s_wordss_wordu_u_lt(s(t_h4s_fcps_cart(t_bool,X1),X17),s(t_h4s_fcps_cart(t_bool,X1),X16))))|s(t_h4s_fcps_cart(t_bool,X1),X17)=s(t_h4s_fcps_cart(t_bool,X1),X16))),file('i/f/words/WORD__LT__EQ__LO', ah4s_wordss_WORDu_u_LESSu_u_ORu_u_EQ)).
fof(29, axiom,~(p(s(t_bool,f))),file('i/f/words/WORD__LT__EQ__LO', aHLu_FALSITY)).
fof(32, axiom,![X6]:(s(t_bool,f)=s(t_bool,X6)<=>~(p(s(t_bool,X6)))),file('i/f/words/WORD__LT__EQ__LO', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(44, axiom,![X1]:![X16]:![X17]:(p(s(t_bool,h4s_wordss_wordu_u_lt(s(t_h4s_fcps_cart(t_bool,X1),X17),s(t_h4s_fcps_cart(t_bool,X1),X16))))<=>((s(t_bool,h4s_wordss_wordu_u_msb(s(t_h4s_fcps_cart(t_bool,X1),X17)))=s(t_bool,h4s_wordss_wordu_u_msb(s(t_h4s_fcps_cart(t_bool,X1),X16)))&p(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)))))))|(p(s(t_bool,h4s_wordss_wordu_u_msb(s(t_h4s_fcps_cart(t_bool,X1),X17))))&~(p(s(t_bool,h4s_wordss_wordu_u_msb(s(t_h4s_fcps_cart(t_bool,X1),X16)))))))),file('i/f/words/WORD__LT__EQ__LO', ah4s_wordss_WORDu_u_LT)).
fof(46, axiom,p(s(t_bool,t)),file('i/f/words/WORD__LT__EQ__LO', aHLu_TRUTH)).
fof(49, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/words/WORD__LT__EQ__LO', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(62, axiom,![X1]:~(p(s(t_bool,h4s_wordss_wordu_u_msb(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/words/WORD__LT__EQ__LO', ah4s_wordss_WORDu_u_0u_u_POS)).
# SZS output end CNFRefutation
