# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/words/word__shift__bv_c4', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/words/word__shift__bv_c4', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/words/word__shift__bv_c4', aHLu_BOOLu_CASES)).
fof(9, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/words/word__shift__bv_c4', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(22, axiom,![X12]:![X13]:![X14]:((p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X13))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X12)))))=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X12))))),file('i/f/words/word__shift__bv_c4', ah4s_arithmetics_LESSu_u_TRANS)).
fof(23, axiom,![X13]:![X15]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X13))))=>s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X13)))=s(t_h4s_nums_num,X15)),file('i/f/words/word__shift__bv_c4', ah4s_arithmetics_LESSu_u_MOD)).
fof(24, axiom,![X13]:![X14]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X13))))=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X13))),s(t_h4s_nums_num,X13))))),file('i/f/words/word__shift__bv_c4', ah4s_arithmetics_MODu_u_LESS)).
fof(25, axiom,![X7]:![X16]:![X13]:s(t_h4s_fcps_cart(t_bool,X7),h4s_wordss_wordu_u_rolu_u_bv(s(t_h4s_fcps_cart(t_bool,X7),X16),s(t_h4s_fcps_cart(t_bool,X7),X13)))=s(t_h4s_fcps_cart(t_bool,X7),h4s_wordss_wordu_u_rol(s(t_h4s_fcps_cart(t_bool,X7),X16),s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X7),X13))))),file('i/f/words/word__shift__bv_c4', ah4s_wordss_wordu_u_rolu_u_bvu_u_def)).
fof(26, axiom,![X7]: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(X7),h4s_bools_theu_u_value)))))),file('i/f/words/word__shift__bv_c4', ah4s_wordss_DIMINDEXu_u_GTu_u_0)).
fof(27, axiom,![X7]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X7),h4s_bools_theu_u_value))),s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X7),h4s_bools_theu_u_value)))))),file('i/f/words/word__shift__bv_c4', ah4s_wordss_dimindexu_u_ltu_u_dimword)).
fof(28, axiom,![X7]:![X13]:s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X7),h4s_wordss_n2w(s(t_h4s_nums_num,X13)))))=s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X7),h4s_bools_theu_u_value))))),file('i/f/words/word__shift__bv_c4', ah4s_wordss_w2nu_u_n2w)).
fof(29, axiom,![X7]:![X16]:![X13]:s(t_h4s_fcps_cart(t_bool,X7),h4s_wordss_wordu_u_rol(s(t_h4s_fcps_cart(t_bool,X7),X16),s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X7),h4s_bools_theu_u_value)))))))=s(t_h4s_fcps_cart(t_bool,X7),h4s_wordss_wordu_u_rol(s(t_h4s_fcps_cart(t_bool,X7),X16),s(t_h4s_nums_num,X13))),file('i/f/words/word__shift__bv_c4', ah4s_wordss_ROLu_u_MOD)).
fof(30, conjecture,![X7]:![X16]:![X13]:s(t_h4s_fcps_cart(t_bool,X7),h4s_wordss_wordu_u_rol(s(t_h4s_fcps_cart(t_bool,X7),X16),s(t_h4s_nums_num,X13)))=s(t_h4s_fcps_cart(t_bool,X7),h4s_wordss_wordu_u_rolu_u_bv(s(t_h4s_fcps_cart(t_bool,X7),X16),s(t_h4s_fcps_cart(t_bool,X7),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X7),h4s_bools_theu_u_value))))))))),file('i/f/words/word__shift__bv_c4', ch4s_wordss_wordu_u_shiftu_u_bvu_c4)).
# SZS output end CNFRefutation
