# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:p(s(t_bool,h4s_wordss_wordu_u_bit(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_2comp(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))))))),file('i/f/words/word__bit__0__word__T', ch4s_wordss_wordu_u_bitu_u_0u_u_wordu_u_T)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/words/word__bit__0__word__T', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/words/word__bit__0__word__T', aHLu_FALSITY)).
fof(9, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)<=>p(s(t_bool,X2))),file('i/f/words/word__bit__0__word__T', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(10, axiom,![X2]:((p(s(t_bool,X2))=>p(s(t_bool,f)))<=>s(t_bool,X2)=s(t_bool,f)),file('i/f/words/word__bit__0__word__T', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(12, axiom,![X5]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X5)))),file('i/f/words/word__bit__0__word__T', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(13, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)|s(t_bool,X2)=s(t_bool,f)),file('i/f/words/word__bit__0__word__T', aHLu_BOOLu_CASES)).
fof(16, axiom,![X1]:![X7]:![X8]:(p(s(t_bool,h4s_wordss_wordu_u_bit(s(t_h4s_nums_num,X8),s(t_h4s_fcps_cart(t_bool,X1),X7))))<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X8),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_fcps_fcpu_u_index(s(t_h4s_fcps_cart(t_bool,X1),X7),s(t_h4s_nums_num,X8)))))),file('i/f/words/word__bit__0__word__T', ah4s_wordss_wordu_u_bitu_u_def)).
fof(17, axiom,![X1]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_2comp(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(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_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_t),file('i/f/words/word__bit__0__word__T', ah4s_wordss_WORDu_u_NEGu_u_1)).
fof(18, axiom,![X5]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X5)))=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,X5))),file('i/f/words/word__bit__0__word__T', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(20, axiom,![X5]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X5),file('i/f/words/word__bit__0__word__T', ah4s_numerals_numeralu_u_distribu_c1)).
fof(21, axiom,![X1]:![X9]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))))=>p(s(t_bool,h4s_fcps_fcpu_u_index(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_t),s(t_h4s_nums_num,X9))))),file('i/f/words/word__bit__0__word__T', ah4s_wordss_wordu_u_T0)).
fof(22, axiom,![X1]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))))),file('i/f/words/word__bit__0__word__T', ah4s_wordss_DIMINDEXu_u_GTu_u_0)).
# SZS output end CNFRefutation
