# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]: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_arithmetics_mod(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_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,X3))),file('i/f/words/ROL__MOD', ch4s_wordss_ROLu_u_MOD)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/words/ROL__MOD', aHLu_TRUTH)).
fof(5, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/words/ROL__MOD', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(6, axiom,![X1]:![X2]:![X3]: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,X3)))=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_wordu_u_ror(s(t_h4s_fcps_cart(t_bool,X1),X2),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_mod(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))))))))),file('i/f/words/ROL__MOD', ah4s_wordss_wordu_u_rolu_u_def)).
fof(7, 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,X3))))=>![X6]:s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X3))),s(t_h4s_nums_num,X3)))=s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X3)))),file('i/f/words/ROL__MOD', ah4s_arithmetics_MODu_u_MOD)).
fof(8, 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/ROL__MOD', ah4s_wordss_DIMINDEXu_u_GTu_u_0)).
# SZS output end CNFRefutation
