# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X2),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_wordss_dimword(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))))),file('i/f/words/mod__dimindex', ch4s_wordss_modu_u_dimindex)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/words/mod__dimindex', aHLu_FALSITY)).
fof(17, axiom,![X8]:![X2]:![X9]:((p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X2))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X8)))))=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X8))))),file('i/f/words/mod__dimindex', ah4s_arithmetics_LESSu_u_TRANS)).
fof(18, axiom,![X2]:![X9]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X2))))=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,X2))))),file('i/f/words/mod__dimindex', ah4s_arithmetics_MODu_u_LESS)).
fof(19, 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/mod__dimindex', ah4s_wordss_DIMINDEXu_u_GTu_u_0)).
fof(20, axiom,![X1]:p(s(t_bool,h4s_primu_u_recs_u_3c(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_wordss_dimword(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))))),file('i/f/words/mod__dimindex', ah4s_wordss_dimindexu_u_ltu_u_dimword)).
fof(21, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/words/mod__dimindex', aHLu_BOOLu_CASES)).
fof(22, axiom,p(s(t_bool,t)),file('i/f/words/mod__dimindex', aHLu_TRUTH)).
fof(24, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/words/mod__dimindex', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
