# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_rol(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),file('i/f/words/SHIFT__ZERO_c3', ch4s_wordss_SHIFTu_u_ZEROu_c3)).
fof(25, axiom,![X3]:![X18]:![X19]:s(t_h4s_fcps_cart(t_bool,X3),h4s_wordss_wordu_u_rol(s(t_h4s_fcps_cart(t_bool,X3),X18),s(t_h4s_nums_num,X19)))=s(t_h4s_fcps_cart(t_bool,X3),h4s_wordss_wordu_u_ror(s(t_h4s_fcps_cart(t_bool,X3),X18),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X3),h4s_bools_theu_u_value))),s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X3),h4s_bools_theu_u_value))))))))),file('i/f/words/SHIFT__ZERO_c3', ah4s_wordss_wordu_u_rolu_u_def)).
fof(26, axiom,![X3]:![X18]:![X19]:s(t_h4s_fcps_cart(t_bool,X3),h4s_wordss_wordu_u_rol(s(t_h4s_fcps_cart(t_bool,X3),h4s_wordss_wordu_u_ror(s(t_h4s_fcps_cart(t_bool,X3),X18),s(t_h4s_nums_num,X19))),s(t_h4s_nums_num,X19)))=s(t_h4s_fcps_cart(t_bool,X3),X18),file('i/f/words/SHIFT__ZERO_c3', ah4s_wordss_RORu_u_ROLu_c0)).
fof(27, axiom,![X3]:![X18]:![X19]:![X20]:s(t_h4s_fcps_cart(t_bool,X3),h4s_wordss_wordu_u_rol(s(t_h4s_fcps_cart(t_bool,X3),h4s_wordss_wordu_u_rol(s(t_h4s_fcps_cart(t_bool,X3),X18),s(t_h4s_nums_num,X20))),s(t_h4s_nums_num,X19)))=s(t_h4s_fcps_cart(t_bool,X3),h4s_wordss_wordu_u_rol(s(t_h4s_fcps_cart(t_bool,X3),X18),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X20),s(t_h4s_nums_num,X19))))),file('i/f/words/SHIFT__ZERO_c3', ah4s_wordss_ROLu_u_ADD)).
fof(32, axiom,![X20]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X20)))=s(t_h4s_nums_num,X20),file('i/f/words/SHIFT__ZERO_c3', ah4s_arithmetics_ADDu_u_CLAUSESu_c0)).
fof(39, axiom,![X3]:![X18]:![X19]:s(t_h4s_fcps_cart(t_bool,X3),h4s_wordss_wordu_u_ror(s(t_h4s_fcps_cart(t_bool,X3),X18),s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X3),h4s_bools_theu_u_value)))))))=s(t_h4s_fcps_cart(t_bool,X3),X18),file('i/f/words/SHIFT__ZERO_c3', ah4s_wordss_RORu_u_CYCLE)).
fof(51, axiom,![X5]:![X19]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X19))))=>s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X19))),s(t_h4s_nums_num,X19)))=s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X19)))),file('i/f/words/SHIFT__ZERO_c3', ah4s_arithmetics_ADDu_u_MODULUSu_u_LEFT)).
fof(56, axiom,![X3]: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(X3),h4s_bools_theu_u_value)))))),file('i/f/words/SHIFT__ZERO_c3', ah4s_wordss_DIMINDEXu_u_GTu_u_0)).
# SZS output end CNFRefutation
