# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/words/WORD__SLICE__ZERO', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/words/WORD__SLICE__ZERO', aHLu_FALSITY)).
fof(14, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/words/WORD__SLICE__ZERO', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(17, axiom,![X1]:((p(s(t_bool,X1))=>p(s(t_bool,f)))<=>s(t_bool,X1)=s(t_bool,f)),file('i/f/words/WORD__SLICE__ZERO', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(21, axiom,![X16]:![X17]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X16)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X17))),s(t_h4s_nums_num,X16))),file('i/f/words/WORD__SLICE__ZERO', ah4s_arithmetics_LESSu_u_EQ)).
fof(22, axiom,![X16]:![X17]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X16)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X17))))),file('i/f/words/WORD__SLICE__ZERO', ah4s_arithmetics_NOTu_u_LESS)).
fof(27, axiom,![X16]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X16)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(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_nums_num,X16))),file('i/f/words/WORD__SLICE__ZERO', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(29, axiom,![X18]:![X16]:![X17]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_min(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X16))),s(t_h4s_nums_num,X18))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X18))))|p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X18)))))),file('i/f/words/WORD__SLICE__ZERO', ah4s_arithmetics_MINu_u_LTu_c0)).
fof(30, axiom,![X16]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X16),file('i/f/words/WORD__SLICE__ZERO', ah4s_numerals_numeralu_u_distribu_c1)).
fof(33, axiom,![X16]:![X19]:![X20]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X19))))=>s(t_h4s_nums_num,h4s_bits_slice(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X16)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/words/WORD__SLICE__ZERO', ah4s_bits_SLICEu_u_ZERO)).
fof(34, axiom,![X7]:![X21]:?[X16]:(s(t_h4s_fcps_cart(t_bool,X7),X21)=s(t_h4s_fcps_cart(t_bool,X7),h4s_wordss_n2w(s(t_h4s_nums_num,X16)))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X7),h4s_bools_theu_u_value))))))),file('i/f/words/WORD__SLICE__ZERO', ah4s_wordss_rangedu_u_wordu_u_nchotomy)).
fof(35, axiom,![X7]:![X16]:![X19]:![X20]:s(t_h4s_fcps_cart(t_bool,X7),h4s_wordss_wordu_u_slice(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X19),s(t_h4s_fcps_cart(t_bool,X7),h4s_wordss_n2w(s(t_h4s_nums_num,X16)))))=s(t_h4s_fcps_cart(t_bool,X7),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_bits_slice(s(t_h4s_nums_num,h4s_arithmetics_min(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X7),h4s_bools_theu_u_value))),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_nums_num,X19),s(t_h4s_nums_num,X16))))),file('i/f/words/WORD__SLICE__ZERO', ah4s_wordss_wordu_u_sliceu_u_n2w)).
fof(36, conjecture,![X7]:![X21]:![X19]:![X20]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X19))))=>s(t_h4s_fcps_cart(t_bool,X7),h4s_wordss_wordu_u_slice(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X19),s(t_h4s_fcps_cart(t_bool,X7),X21)))=s(t_h4s_fcps_cart(t_bool,X7),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/words/WORD__SLICE__ZERO', ch4s_wordss_WORDu_u_SLICEu_u_ZERO)).
# SZS output end CNFRefutation
