# 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),h4s_wordss_wordu_u_add(s(t_h4s_fcps_cart(t_bool,X1),X2),s(t_h4s_fcps_cart(t_bool,X1),X3))))))<=>(~(s(t_h4s_fcps_cart(t_bool,X1),X2)=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)=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0)))|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),h4s_wordss_wordu_u_2comp(s(t_h4s_fcps_cart(t_bool,X1),X2))))))))),file('i/f/words/WORD__ADD__RIGHT__LO2', ch4s_wordss_WORDu_u_ADDu_u_RIGHTu_u_LO2)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/words/WORD__ADD__RIGHT__LO2', aHLu_FALSITY)).
fof(14, axiom,![X9]:(s(t_bool,f)=s(t_bool,X9)<=>~(p(s(t_bool,X9)))),file('i/f/words/WORD__ADD__RIGHT__LO2', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(49, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_wordss_wordu_u_ls(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_add(s(t_h4s_fcps_cart(t_bool,X1),X2),s(t_h4s_fcps_cart(t_bool,X1),X3))),s(t_h4s_fcps_cart(t_bool,X1),X3))))<=>(s(t_h4s_fcps_cart(t_bool,X1),X2)=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)=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0))))&(p(s(t_bool,h4s_wordss_wordu_u_lo(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_2comp(s(t_h4s_fcps_cart(t_bool,X1),X2))),s(t_h4s_fcps_cart(t_bool,X1),X3))))|s(t_h4s_fcps_cart(t_bool,X1),X3)=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_2comp(s(t_h4s_fcps_cart(t_bool,X1),X2))))))),file('i/f/words/WORD__ADD__RIGHT__LO2', ah4s_wordss_WORDu_u_ADDu_u_LEFTu_u_LS2)).
fof(51, axiom,![X1]:![X23]:![X3]:(~(p(s(t_bool,h4s_wordss_wordu_u_ls(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),X23)))))<=>p(s(t_bool,h4s_wordss_wordu_u_lo(s(t_h4s_fcps_cart(t_bool,X1),X23),s(t_h4s_fcps_cart(t_bool,X1),X3))))),file('i/f/words/WORD__ADD__RIGHT__LO2', ah4s_wordss_WORDu_u_NOTu_u_LOWERu_u_EQUAL)).
fof(52, axiom,![X1]:![X23]:![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),X23)))))<=>p(s(t_bool,h4s_wordss_wordu_u_ls(s(t_h4s_fcps_cart(t_bool,X1),X23),s(t_h4s_fcps_cart(t_bool,X1),X3))))),file('i/f/words/WORD__ADD__RIGHT__LO2', ah4s_wordss_WORDu_u_NOTu_u_LOWER)).
fof(54, axiom,![X1]:![X23]:![X3]:(p(s(t_bool,h4s_wordss_wordu_u_ls(s(t_h4s_fcps_cart(t_bool,X1),X3),s(t_h4s_fcps_cart(t_bool,X1),X23))))<=>(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),X23))))|s(t_h4s_fcps_cart(t_bool,X1),X3)=s(t_h4s_fcps_cart(t_bool,X1),X23))),file('i/f/words/WORD__ADD__RIGHT__LO2', ah4s_wordss_WORDu_u_LOWERu_u_ORu_u_EQ)).
fof(85, axiom,![X9]:(s(t_bool,X9)=s(t_bool,t)|s(t_bool,X9)=s(t_bool,f)),file('i/f/words/WORD__ADD__RIGHT__LO2', aHLu_BOOLu_CASES)).
fof(86, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/words/WORD__ADD__RIGHT__LO2', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
