# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/words/word__0__n2w', ch4s_wordss_wordu_u_0u_u_n2w)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/words/word__0__n2w', aHLu_TRUTH)).
fof(6, axiom,![X4]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X4))))=>s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X4)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/words/word__0__n2w', ah4s_arithmetics_ZEROu_u_MOD)).
fof(7, 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_wordss_dimword(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value)))))),file('i/f/words/word__0__n2w', ah4s_wordss_ZEROu_u_LTu_u_dimword)).
fof(8, axiom,![X1]:![X4]:s(t_h4s_nums_num,h4s_wordss_w2n(s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,X4)))))=s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,h4s_wordss_dimword(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))),file('i/f/words/word__0__n2w', ah4s_wordss_w2nu_u_n2w)).
fof(9, axiom,~(p(s(t_bool,f))),file('i/f/words/word__0__n2w', aHLu_FALSITY)).
fof(10, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/words/word__0__n2w', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
