# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:((~(p(s(t_bool,h4s_wordss_wordu_u_msb(s(t_h4s_fcps_cart(t_bool,X1),X2)))))&p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integeru_u_words_w2i(s(t_h4s_fcps_cart(t_bool,X1),X2))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X3)))))))=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X2))),s(t_h4s_nums_num,X3))))),file('i/f/integer_word/w2i__w2n__pos', ch4s_integeru_u_words_w2iu_u_w2nu_u_pos)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/integer_word/w2i__w2n__pos', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/integer_word/w2i__w2n__pos', aHLu_FALSITY)).
fof(18, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/integer_word/w2i__w2n__pos', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(36, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/integer_word/w2i__w2n__pos', aHLu_BOOLu_CASES)).
fof(39, axiom,![X3]:![X17]:s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X3))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X17)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X17))),file('i/f/integer_word/w2i__w2n__pos', ah4s_integers_INTu_u_LTu_u_CALCULATEu_c0)).
fof(45, axiom,![X1]:![X2]:s(t_h4s_integers_int,h4s_integeru_u_words_w2i(s(t_h4s_fcps_cart(t_bool,X1),X2)))=s(t_h4s_integers_int,h4s_bools_cond(s(t_bool,h4s_wordss_wordu_u_msb(s(t_h4s_fcps_cart(t_bool,X1),X2))),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_2comp(s(t_h4s_fcps_cart(t_bool,X1),X2))))))))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),X2))))))),file('i/f/integer_word/w2i__w2n__pos', ah4s_integeru_u_words_w2iu_u_def)).
fof(50, axiom,![X1]:![X4]:![X5]:s(X1,h4s_bools_cond(s(t_bool,f),s(X1,X5),s(X1,X4)))=s(X1,X4),file('i/f/integer_word/w2i__w2n__pos', ah4s_bools_CONDu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
