# 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),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_fcps_cart(t_bool,X1),X2)))),file('i/f/words/WORD__0__LS', ch4s_wordss_WORDu_u_0u_u_LS)).
fof(9, axiom,![X8]:![X9]:((p(s(t_bool,X9))=>p(s(t_bool,X8)))=>((p(s(t_bool,X8))=>p(s(t_bool,X9)))=>s(t_bool,X9)=s(t_bool,X8))),file('i/f/words/WORD__0__LS', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(23, axiom,![X1]:![X17]:![X18]:s(t_bool,h4s_wordss_wordu_u_ls(s(t_h4s_fcps_cart(t_bool,X1),X18),s(t_h4s_fcps_cart(t_bool,X1),X17)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X18))),s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X17))))),file('i/f/words/WORD__0__LS', ah4s_wordss_WORDu_u_LS)).
fof(26, axiom,![X1]:![X17]:![X18]:(p(s(t_bool,h4s_wordss_wordu_u_ls(s(t_h4s_fcps_cart(t_bool,X1),X18),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),X18))))),file('i/f/words/WORD__0__LS', ah4s_wordss_WORDu_u_LOWERu_u_EQu_u_CASES)).
fof(38, axiom,![X1]:![X2]:(s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X2)))=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__0__LS', ah4s_wordss_w2nu_u_equ_u_0)).
fof(45, axiom,![X21]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X21)))),file('i/f/words/WORD__0__LS', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(79, axiom,~(p(s(t_bool,f))),file('i/f/words/WORD__0__LS', aHLu_FALSITY)).
fof(80, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/words/WORD__0__LS', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
