# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![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),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0))))))<=>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)))),file('i/f/words/WORD__LS__word__0', ch4s_wordss_WORDu_u_LSu_u_wordu_u_0)).
fof(29, axiom,![X1]:![X21]:p(s(t_bool,h4s_wordss_wordu_u_ls(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),X21)))),file('i/f/words/WORD__LS__word__0', ah4s_wordss_WORDu_u_0u_u_LS)).
fof(35, axiom,![X1]:![X21]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_sub(s(t_h4s_fcps_cart(t_bool,X1),X21),s(t_h4s_fcps_cart(t_bool,X1),X21)))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/words/WORD__LS__word__0', ah4s_wordss_WORDu_u_SUBu_u_REFL)).
fof(64, axiom,![X1]:![X17]:![X19]:((p(s(t_bool,h4s_wordss_wordu_u_ls(s(t_h4s_fcps_cart(t_bool,X1),X19),s(t_h4s_fcps_cart(t_bool,X1),X17))))&p(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),X19)))))=>s(t_h4s_fcps_cart(t_bool,X1),X19)=s(t_h4s_fcps_cart(t_bool,X1),X17)),file('i/f/words/WORD__LS__word__0', ah4s_wordss_WORDu_u_LOWERu_u_EQUALu_u_ANTISYM)).
fof(71, axiom,~(p(s(t_bool,f))),file('i/f/words/WORD__LS__word__0', aHLu_FALSITY)).
fof(72, axiom,![X3]:((p(s(t_bool,X3))=>p(s(t_bool,f)))<=>s(t_bool,X3)=s(t_bool,f)),file('i/f/words/WORD__LS__word__0', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
# SZS output end CNFRefutation
