# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))))=>s(t_bool,h4s_fcps_fcpu_u_index(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,X3)))=s(t_bool,h4s_bits_bit(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2)))),file('i/f/words/word__index', ch4s_wordss_wordu_u_index)).
fof(3, axiom,![X1]:![X2]:![X6]:(p(s(t_bool,h4s_wordss_wordu_u_bit(s(t_h4s_nums_num,X6),s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,X2))))))<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X1),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))))))))))&p(s(t_bool,h4s_bits_bit(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X2)))))),file('i/f/words/word__index', ah4s_wordss_wordu_u_bitu_u_n2w)).
fof(4, axiom,![X1]:![X7]:![X6]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))))=>s(t_bool,h4s_fcps_fcpu_u_index(s(t_h4s_fcps_cart(t_bool,X1),X7),s(t_h4s_nums_num,X6)))=s(t_bool,h4s_wordss_wordu_u_bit(s(t_h4s_nums_num,X6),s(t_h4s_fcps_cart(t_bool,X1),X7)))),file('i/f/words/word__index', ah4s_wordss_wordu_u_bit0)).
fof(5, 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__index', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(13, axiom,![X2]:![X16]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X2)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X16))),s(t_h4s_nums_num,X2))),file('i/f/words/word__index', ah4s_arithmetics_LESSu_u_EQ)).
fof(15, axiom,![X17]:![X2]:![X16]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X17))))))<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X17))),s(t_h4s_nums_num,X2))))|p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,h4s_nums_0)))))),file('i/f/words/word__index', ah4s_arithmetics_SUBu_u_LEFTu_u_LESSu_u_EQ)).
fof(17, axiom,![X2]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/words/word__index', ah4s_numerals_numeralu_u_lteu_c1)).
fof(19, axiom,![X2]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2)))=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,X2))),file('i/f/words/word__index', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(22, axiom,![X2]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X2),file('i/f/words/word__index', ah4s_numerals_numeralu_u_distribu_c1)).
fof(23, axiom,![X2]:![X16]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X16))),file('i/f/words/word__index', ah4s_arithmetics_ADDu_u_SYM)).
fof(25, axiom,~(p(s(t_bool,f))),file('i/f/words/word__index', aHLu_FALSITY)).
fof(26, axiom,![X10]:(s(t_bool,X10)=s(t_bool,t)|s(t_bool,X10)=s(t_bool,f)),file('i/f/words/word__index', aHLu_BOOLu_CASES)).
fof(30, axiom,![X10]:((p(s(t_bool,X10))=>p(s(t_bool,f)))<=>s(t_bool,X10)=s(t_bool,f)),file('i/f/words/word__index', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(31, axiom,p(s(t_bool,t)),file('i/f/words/word__index', aHLu_TRUTH)).
fof(35, axiom,![X10]:(s(t_bool,X10)=s(t_bool,t)<=>p(s(t_bool,X10))),file('i/f/words/word__index', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
